0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496
1,1,1,2,3,4,4,6,7,9,12,13,13,14,16,16,17,18,19,22,24,24,24,24,24,26,33,37,38,43,48,56,65,68,73,78,87,93,100,104,110,122,135,143,154,162,172,181,188,207,217,229,242,264,274,288,298,310,315,326,342,356,379,399,418,431,446,472,493,527,557,590,618,649,679,716,754,790,819,846,881,914,948,987,1017,1057,1085,1130,1173,1212,1259,1316,1357,1405,1451,1504,1555,1604,1655,1714,1786,1845,1897,1950,2007,2060,2126,2172,2206,2261,2320,2372,2435,2499,2565,2624,2687,2744,2821,2888,2946,3002,3077,3142,3202,3259,3322,3388,3469,3532,3606,3663,3727,3807,3891,3977,4059,4128,4197,4282,4349,4444,4536,4627,4725,4794,4873,4965,5059,5170,5255,5349,5440,5546,5637,5716,5825,5949,6047,6158,6249,6345,6453,6563,6691,6789,6898,6985,7089,7193,7302,7416,7535,7644,7794,7910,8039,8163,8281,8398,8520,8648,8782,8944,9099,9244,9390,9551,9692,9860,10019,10155,10312,10472,10640,10825,11024,11194,11355,11545,11737,11932,12101,12291,12491,12669,12856,13047,13236,13425,13641,13837,14067,14269,14516,14743,14965,15177,15430,15690,15929,16168,16405,16651,16895,17142,17417,17675,17947,18211,18494,18741,18977,19217,19467,19684,19936,20168,20424,20671,20908,21128,21361,21617,21846,22111,22355,22605,22838,23110,23366,23624,23894,24129,24370,24645,24915,25209,25466,25723,26028,26315,26610,26944,27241,27575,27876,28220,28529,28867,29232,29571,29910,30258,30631,30972,31315,31700,32044,32432,32815,33208,33615,33997,34418,34820,35236,35650,36068,36511,36883,37374,37830,38302,38733,39165,39640,40077,40557,41048,41520,42018,42537,43022,43502,44022,44507,45038,45561,46076,46644,47165,47703,48258,48812,49450,50058,50627,51279,51858,52532,53203,53836,54433,55041,55715,56337,56971,57601,58243,58811,59475,60157,60817,61518,62190,62871,63526,64217,64922,65606,66313,67029,67772,68541,69253,70000,70795,71555,72336,73157,73916,74723,75534,76401,77316,78199,79072,79966,80957,81980,82923,83936,84963,85946,87009,88050,89113,90180,91205,92230,93327,94452,95534,96643,97786,99051,100236,101372,102573,103763,104897,106111,107394,108687,109964,111185,112496,113863,115177,116554,117926,119384,120832,122349,123852,125405,126958,128546,130114,131727,133382,135044,136777,138467,140214,141971,143802,145615,147500,149334,151195,153091,155055,157030,159035,161076,163091,165244,167393,169430,171445,173582,175774,178023,180266,182551,184895,187264,189729,192160,194597,197134,199723,202388,205148,207782,210465,213248,216189,219076,222055,225046,228002,231088,234254,237527,240832,244037,247268,250659,254079,257515,260960,264519,268191,271798,275443,279243,283003,286888,290941,294938,299074,303268,307565,311946,316359,320836,325185,329626,334130,338840,343491,348263,353128,358051,362981,368022,373110,378201,383378,388517,393929,399419,404864,410259,415879,421569,427073,432806,438518,444202,450175,456176,462147,468201
1,1,1,3,4,4,6,9,13,16,21,26,29,33,33,37,43,46,49,51,55,60,64,76,85,103,108,117,124,135,139,144,151,157,166,178,182,189,194,201,207,214,219,224,231,237,240,247,253,259,267,268,272,273,276,277,281,282,284,288,291,293,293,297,299,303,310,314,319,322,324,327,328,330,335,337,338,341,346,348,350,352,354,356,364,369,376,380,384,393,404,408,426,435,452,462,478,486,499,508,519,529,545,554,580,594,613,634,655,672,692,712,723,736,747,763,780,795,811,823,844,859,869,882,897,912,928,939,959,973,989,1005,1023,1032,1057,1080,1089,1104,1123,1139,1159,1179,1200,1221,1248,1278,1303,1328,1353,1382,1412,1442,1471,1500,1523,1545,1566,1591,1615,1644,1677,1704,1733,1757,1782,1809,1830,1853,1881,1907,1932,1958,1981,2003,2035,2054,2078,2104,2136,2168,2194,2218,2249,2277,2316,2345,2365,2395,2420,2453,2496,2532,2570,2612,2663,2707,2749,2803,2847,2891,2942,2994,3051,3114,3176,3243,3306,3364,3431,3494,3544,3607,3676,3758,3843,3914,3984,4067,4161,4246,4341,4425,4523,4614,4717,4823,4931,5040,5162,5268,5376,5464,5564,5674,5776,5900,6025,6144,6272,6394,6499,6612,6731,6861,6994,7128,7261,7404,7555,7701,7848,8007,8149,8317,8493,8673,8838,9020,9225,9439,9670,9897,10084,10345,10574,10800,11048,11320,11583,11845,12107,12402,12682,13015,13332,13648,13953,14275,14598,14944,15280,15630,15973,16324,16706,17067,17439,17807,18181,18522,18919,19334,19787,20193,20615,21019,21426,21854,22321,22801,23247,23717,24183,24691,25193,25738,26303,26875,27460,28062,28680,29293,29906,30511,31165,31855,32521,33248,33915,34600,35281,35995,36687,37431,38202,38931,39649,40404,41169,41950,42759,43580,44377,45229,46146,46997,47861,48744,49637,50553,51467,52381,53327,54279,55280,56272,57329,58404,59382,60463,61529,62622,63673,64805,65982,67161,68293,69458,70648,71844,73042,74309,75541,76801,78086,79403,80751,82060,83343,84675,86061,87377,88768,90118,91520,92999,94438,95854,97322,98764,100231,101673,103136,104740,106277,107940,109530,111144,112760,114467,116187,117893,119646,121429,123191,125031,126902,128721,130642,132520,134442,136419,138459,140494,142485,144465,146570,148607,150716,152869,155110,157371,159691,161971,164255,166613,168909,171281,173699,176161,178568,181083,183600,186199,188743,191275,193875,196542,199234,201959,204762,207529,210432,213381,216187,219121,222143,225088,228174,231193,234372,237492,240719,244062,247203,250605,253948,257366,260909,264388,268000,271477,275180,278734,282454,286161,289977,293753,297633,301621,305457,309578,313778,317964,322173,326563,331008,335603,339991,344705,349446,354376,359217,364083,368898,373957,379115,384330,389618,395022,400449,406199,411874,417528,423327,429080,435065,441095,447201,453372,459646,466007,472480,478963,485528,492160,498879
1,1,1,1,1,2,2,5,8,9,9,13,14,15,15,15,16,18,19,20,25,28,33,38,41,46,48,52,55,64,72,77,85,96,109,122,135,154,168,182,194,211,226,255,269,280,293,309,322,342,356,380,396,416,438,455,494,526,546,568,585,608,634,661,698,726,751,798,836,875,907,942,986,1017,1055,1102,1147,1191,1247,1290,1340,1385,1432,1474,1512,1547,1577,1621,1662,1709,1775,1814,1864,1915,1958,1990,2033,2064,2118,2166,2217,2271,2323,2383,2446,2526,2582,2649,2704,2766,2819,2884,2949,3002,3067,3132,3185,3249,3322,3377,3435,3490,3551,3614,3679,3729,3801,3875,3949,4020,4094,4184,4254,4359,4458,4568,4660,4761,4864,4970,5069,5213,5344,5504,5654,5788,5909,6068,6200,6353,6523,6675,6827,6994,7143,7337,7491,7667,7848,8024,8174,8350,8518,8687,8855,9022,9204,9402,9603,9808,10013,10226,10452,10658,10863,11062,11276,11514,11740,11989,12193,12444,12685,12957,13231,13486,13753,14038,14308,14616,14903,15227,15492,15789,16118,16452,16761,17124,17435,17797,18112,18414,18730,19047,19406,19765,20125,20508,20877,21233,21670,22020,22407,22813,23215,23611,24008,24401,24783,25211,25658,26045,26413,26830,27256,27713,28175,28620,29086,29530,29988,30421,30918,31372,31864,32399,32871,33367,33916,34441,34969,35527,36074,36627,37269,37881,38479,39126,39776,40424,41111,41785,42495,43253,43983,44743,45531,46336,47170,48004,48846,49696,50522,51473,52388,53330,54335,55318,56305,57351,58362,59368,60420,61475,62557,63689,64843,65944,67158,68391,69620,70841,72074,73336,74670,75950,77319,78644,80080,81483,82970,84407,85869,87375,88902,90475,92112,93736,95347,96942,98606,100246,101925,103670,105329,107171,108999,110843,112656,114517,116394,118370,120450,122520,124557,126685,128749,130901,133038,135253,137517,139831,142133,144456,146898,149390,151826,154370,156864,159484,162133,164836,167535,170225,172897,175648,178512,181335,184201,187189,190195,193118,196145,199214,202337,205532,208634,211932,215169,218399,221681,225118,228568,232084,235561,239186,242770,246436,250102,253833,257646,261347,265135,268924,272806,276725,280670,284613,288719,292807,296981,301161,305478,309797,314111,318483,322959,327514,332061,336820,341524,346373,351197,356233,361169,366093,371127,376369,381621,386996,392337,397895,403330,409039,414780,420508,426306,432102,437958,444029,450003,456183,462403,468594,474971,481541,488023,494652,501457,508182,515066,521982,529072,536155,543404,550705,558232,565732,573282,580892,588505,596356,604094,612035,620030,628169,636335,644563,652875,661371,669935,678886,687652,696337,705250,714402,723516,732601,741841,751257,760899,770293,779965,789816,799604,809442,819515,829752,840216,850627,861180,871777,882781,893730,905050,916111,927881,939506,951280,962852,974967,987284,999698,1012279,1025045,1037813,1051030,1064145,1077464,1091075,1104776,1118706,1132551,1146739,1161005,1175515,1190196,1205011,1219872,1234917,1250049,1265357,1280859,1296667,1312429,1328559,1344596,1360897,1377284,1394021,1410962,1427870,1445329,1462521,1480054,1497879,1515889
1,1,1,1,6,7,10,14,17,20,24,26,30,32,35,39,44,50,57,65,73,89,93,98,107,116,125,132,138,144,152,166,180,189,195,200,213,227,236,244,249,257,262,263,268,281,289,294,299,308,317,326,338,347,360,371,385,397,407,417,434,452,470,492,507,525,553,579,607,634,663,693,712,743,775,805,838,864,885,912,939,968,1003,1027,1055,1086,1121,1147,1169,1192,1221,1248,1279,1304,1341,1360,1388,1418,1443,1477,1504,1534,1553,1584,1623,1660,1700,1736,1782,1826,1866,1924,1974,2025,2082,2148,2201,2270,2342,2416,2486,2563,2649,2723,2787,2877,2966,3050,3134,3224,3314,3410,3498,3590,3695,3795,3896,3998,4103,4185,4285,4360,4440,4518,4609,4687,4787,4873,4957,5056,5167,5270,5369,5483,5571,5666,5756,5861,5979,6087,6193,6304,6403,6511,6639,6768,6904,7059,7182,7295,7445,7567,7708,7851,7982,8130,8275,8419,8559,8705,8866,9043,9217,9404,9591,9765,9957,10161,10344,10552,10735,10923,11123,11313,11531,11739,11969,12203,12472,12712,12952,13172,13423,13710,13957,14265,14553,14844,15128,15400,15701,15993,16271,16545,16850,17175,17511,17824,18147,18483,18822,19155,19436,19785,20107,20443,20755,21123,21472,21832,22210,22530,22854,23185,23545,23923,24324,24688,25069,25449,25811,26196,26596,26998,27376,27748,28140,28531,28915,29305,29722,30148,30564,30979,31445,31846,32285,32734,33157,33613,34081,34516,34982,35467,35912,36363,36904,37428,37904,38446,39001,39532,40102,40648,41198,41790,42309,42895,43444,44022,44614,45225,45799,46425,47090,47727,48329,48898,49511,50122,50770,51410,51981,52626,53285,53999,54708,55409,56101,56798,57489,58197,58889,59650,60456,61211,62019,62834,63696,64505,65319,66203,67087,67968,68877,69790,70743,71699,72715,73706,74627,75580,76556,77566,78567,79529,80544,81556,82551,83521,84595,85612,86637,87667,88768,89894,90969,92013,93138,94334,95462,96651,97841,98985,100238,101431,102641,103840,105129,106429,107757,109035,110430,111776,113180,114584,116063,117473,118932,120572,122090,123676,125376,127063,128740,130480,132173,133921,135722,137452,139308,141228,143137,145039,146972,149059,151136,153235,155353,157521,159735,162010,164330,166692,169046,171436,173853,176226,178746,181280,183856,186439,189030,191618,194263,197090,199780,202611,205508,208382,211203,214215,217138,220122,223112,226079,229099,232215,235290,238506,241823,245061,248384,251706,255072,258450,261761,265152,268598,272108,275655,279266,282903,286639,290393,294261,298110,302098,306117,310058,314137,318318,322454,326691,330870,335133,339489,343918,348422,352901,357552,362271,367022,371782,376601,381343,386372,391532,396646,401796,407024,412234,417648,423099,428579,434024,439697,445448,451354,457194,462910,468848,474968,481163,487392,493691,500088,506591,513180,519761,526490,533472,540489,547503,554551,561845,569220,576708,584298,592048,599880,607714,615654,623735,632088,640475,649125,657868,666649,675458,684387,693494,702891,712319,721942,731673,741603
1,1,1,1,1,1,1,2,3,4,4,6,6,10,10,11,12,18,19,19,24,28,32,39,48,54,58,66,81,90,96,105,112,119,129,137,155,170,182,191,203,221,232,256,270,285,291,308,323,352,373,397,417,450,470,497,529,566,587,620,649,687,716,745,769,804,836,865,894,924,956,998,1039,1066,1103,1134,1163,1200,1234,1278,1308,1335,1362,1402,1431,1465,1500,1539,1580,1621,1660,1708,1750,1795,1838,1890,1956,2011,2073,2120,2185,2238,2312,2391,2462,2543,2628,2701,2785,2881,2963,3040,3134,3225,3311,3412,3489,3606,3689,3784,3893,3986,4088,4182,4293,4406,4506,4614,4724,4825,4942,5060,5173,5278,5393,5507,5629,5754,5865,5978,6099,6213,6334,6451,6580,6699,6818,6961,7094,7230,7371,7512,7662,7797,7930,8069,8206,8384,8529,8696,8847,9011,9192,9391,9566,9765,9950,10151,10344,10538,10783,10969,11180,11369,11552,11720,11923,12132,12354,12592,12808,13045,13301,13537,13776,14035,14267,14539,14815,15069,15337,15600,15859,16095,16381,16660,16929,17232,17532,17831,18120,18411,18675,18980,19307,19607,19921,20230,20517,20794,21081,21405,21715,22031,22383,22691,23001,23326,23678,23992,24320,24618,24968,25294,25621,25979,26327,26698,27047,27425,27757,28090,28412,28774,29167,29552,29916,30283,30639,31029,31410,31793,32152,32551,32994,33392,33762,34187,34625,35031,35478,35937,36374,36784,37237,37681,38137,38630,39083,39578,40131,40626,41123,41652,42174,42743,43294,43876,44442,45026,45660,46243,46845,47471,48086,48702,49314,49951,50621,51262,51963,52642,53361,54098,54843,55565,56336,57108,57887,58673,59454,60257,61085,61899,62747,63710,64635,65575,66517,67526,68534,69568,70600,71722,72870,74078,75187,76318,77461,78647,79902,81111,82398,83618,84909,86242,87625,88969,90333,91747,93240,94664,96125,97511,98930,100337,101879,103404,104870,106348,107922,109544,111160,112854,114507,116177,117911,119624,121429,123254,125056,126914,128696,130578,132487,134439,136462,138462,140533,142631,144751,146738,148922,151159,153429,155617,157969,160296,162612,164900,167284,169685,172117,174637,177093,179717,182258,184811,187450,190095,192741,195432,198213,201027,203803,206779,209727,212674,215666,218586,221601,224691,227866,231099,234369,237688,241116,244676,248161,251592,255140,258705,262304,266061,269907,273683,277574,281499,285445,289602,293623,297720,301911,306174,310408,314901,319372,323901,328516,333111,337926,342722,347550,352360,357321,362412,367569,372785,378209,383649,389156,394654,400227,405867,411686,417693,423583,429586,435688,441969,448379,454621,460974,467401,473851,480318,486886,493548,500391,507302,514182,521192,528324,535435,542612,549983,557564,565152,572850,580842,588870,596940,605022,613317,621596,630272,638896,647514,656591,665581,674617,683772,692848,702155,711496,721165,730737,740517,750466,760473,770662,780723,791125,801734,812397,823198,834029,844997,856197,867504,878982,890607,902178,913916,925927,937867,950047,962495,974955,987681,1000588,1013463,1026563,1040070,1053708,1067500,1080993
1,1,1,1,1,1,1,1,3,3,4,4,5,7,9,10,10,10,14,17,17,19,24,26,28,32,37,39,45,49,56,68,76,85,88,93,96,106,118,125,139,148,153,158,163,168,176,190,193,199,211,217,227,233,239,246,252,257,265,271,280,291,300,302,309,315,325,333,341,352,362,368,376,380,399,413,428,433,446,470,481,495,507,511,527,548,563,578,598,611,635,664,685,706,742,776,812,851,881,928,970,997,1031,1069,1105,1138,1173,1216,1252,1298,1332,1375,1413,1447,1483,1510,1543,1577,1622,1664,1712,1762,1811,1860,1921,1969,2011,2056,2100,2159,2203,2259,2309,2358,2410,2445,2497,2549,2601,2652,2708,2751,2817,2882,2941,3014,3072,3127,3199,3272,3354,3449,3531,3615,3727,3821,3891,4003,4097,4191,4294,4387,4497,4601,4708,4816,4946,5066,5194,5306,5410,5508,5631,5769,5909,6017,6153,6281,6395,6527,6656,6767,6902,7047,7188,7350,7500,7639,7782,7925,8058,8217,8382,8536,8712,8885,9049,9191,9330,9482,9631,9791,9972,10137,10296,10465,10633,10803,10969,11099,11261,11417,11615,11761,11927,12081,12257,12414,12574,12753,12938,13125,13279,13463,13618,13792,13964,14132,14330,14506,14693,14884,15059,15221,15391,15570,15750,15932,16150,16328,16520,16738,16960,17175,17411,17655,17879,18119,18359,18624,18866,19146,19416,19691,19953,20285,20582,20899,21158,21476,21812,22127,22420,22765,23097,23431,23793,24109,24459,24828,25150,25485,25837,26196,26538,26911,27262,27614,27971,28295,28633,28975,29314,29696,30091,30453,30827,31202,31616,32050,32464,32877,33320,33787,34242,34734,35178,35655,36133,36681,37213,37771,38394,39003,39573,40159,40786,41428,42150,42819,43503,44186,44879,45560,46258,46961,47714,48461,49158,49934,50766,51615,52445,53290,54166,54955,55855,56724,57614,58532,59411,60274,61169,62201,63144,64127,65095,66048,67094,68177,69275,70353,71427,72529,73681,74814,76017,77147,78412,79647,80939,82210,83491,84784,86048,87436,88853,90307,91755,93253,94748,96355,97872,99386,100964,102557,104213,105878,107610,109352,111058,112876,114617,116501,118378,120173,122098,123963,125977,127997,129941,131936,133974,136054,138100,140299,142452,144564,146795,149013,151353,153729,156097,158409,160785,163172,165609,168115,170748,173364,175948,178703,181400,184197,186926,189884,192766,195817,198771,201941,205062,208332,211665,214966,218234,221634,225176,228726,232291,235944,239633,243489,247276,251161,255128,259187,263247,267441,271709,276043,280487,285010,289381,293858,298466,303143,307847,312545,317354,322330,327353,332466,337614,342877,348257,353466,358885,364328,369825,375403,381003,386579,392264,398134,404158,410043,416063,422170,428332,434648,441087,447601,454145,460719,467503,474326,481315,488297,495398,502830,510016,517488,524873,532476,540139,548002,556004,564012,572171,580442,588832,597418,606145,614893,623813,632727,641760,651086,660301,669888,679442,689082,698867,708638,718545,728650,738854
1,1,1,1,1,1,1,2,3,5,8,10,11,16,17,19,26,28,30,34,40,45,58,74,81,90,96,104,113,120,139,154,167,180,193,209,226,252,270,293,309,325,345,364,383,399,417,440,466,482,504,529,557,578,609,636,655,677,692,706,727,749,769,794,823,854,883,906,931,952,970,994,1026,1061,1088,1120,1146,1169,1210,1245,1285,1324,1370,1416,1460,1503,1545,1582,1632,1682,1733,1785,1845,1904,1965,2024,2075,2141,2196,2262,2316,2386,2448,2496,2546,2613,2682,2742,2793,2846,2908,2957,3018,3094,3165,3236,3301,3359,3419,3470,3539,3608,3679,3743,3808,3881,3951,4035,4103,4187,4262,4333,4413,4494,4598,4692,4790,4912,5021,5105,5215,5318,5431,5546,5652,5765,5881,5983,6126,6256,6376,6499,6609,6729,6859,6994,7116,7239,7348,7466,7596,7743,7882,8027,8160,8327,8495,8650,8810,8971,9159,9320,9517,9700,9864,10075,10253,10477,10678,10888,11149,11337,11579,11817,12070,12277,12523,12779,13018,13244,13505,13754,14023,14308,14576,14855,15153,15444,15750,16036,16349,16645,16983,17294,17610,17943,18241,18590,18940,19284,19660,20004,20364,20738,21090,21406,21754,22123,22472,22895,23293,23711,24084,24447,24838,25210,25581,26004,26406,26828,27254,27710,28145,28603,29070,29542,30026,30504,31027,31531,32030,32524,33137,33685,34260,34881,35550,36195,36822,37478,38151,38812,39472,40194,40943,41760,42514,43283,44030,44811,45584,46408,47257,48118,48957,49829,50690,51537,52423,53301,54191,55080,56037,56909,57832,58783,59765,60697,61684,62670,63711,64736,65790,66828,67877,68976,70094,71195,72266,73379,74484,75643,76942,78194,79434,80652,81842,83171,84478,85751,87123,88518,89913,91263,92592,93986,95490,96992,98500,99998,101498,103053,104622,106215,107829,109498,111167,112810,114413,116166,117873,119639,121368,123201,125001,126776,128764,130655,132530,134507,136460,138422,140446,142484,144504,146603,148627,150720,152834,155019,157138,159300,161586,163873,166213,168511,170850,173163,175535,177962,180372,182886,185313,187787,190325,192947,195528,198069,200702,203357,206018,208670,211416,214204,217070,219904,222733,225617,228512,231548,234669,237753,240914,244079,247202,250442,253695,256951,260446,263803,267199,270609,274186,277692,281326,284875,288652,292447,296196,299998,303820,307706,311686,315645,319666,323860,328148,332384,336620,340825,345242,349682,354110,358633,363165,367678,372502,377240,382020,386854,391783,396825,401810,406848,411873,417205,422467,427713,433160,438595,444184,449808,455382,460960,466811,472592,478594,484662,490714,496836,503014,509379,515817,522315,528957,535688,542442,549341,556201,563259,570415,577609,584804,592432,600140,607750,615504,623334,631366,639330,647491,655645,664042,672511,681094,689700,698359,707229,716295,725593,734949,744466,754028,763675,773529,783422,793440,803511,813610,824139,834723,845654,856308,867338,878703,890030,901510,913376,925238,937305,949434,961803,974411,987258,1000119,1012987,1026074,1039311,1052804,1066451,1080004,1093916,1108077,1122188,1136863,1151619,1166705
1,1,1,1,1,1,1,1,1,3,3,3,3,4,5,6,6,6,6,6,6,6,6,7,8,11,14,14,15,16,17,17,20,22,28,32,36,43,46,56,62,66,80,91,101,113,119,134,144,155,166,179,187,196,210,219,224,236,247,262,273,292,312,324,346,358,370,384,395,411,430,445,455,477,493,509,528,546,570,594,618,637,664,692,710,736,752,781,801,827,863,882,908,930,943,968,988,1011,1028,1051,1071,1084,1113,1131,1145,1161,1179,1207,1229,1250,1266,1283,1291,1314,1331,1352,1374,1395,1412,1436,1457,1482,1509,1538,1566,1589,1618,1650,1682,1705,1738,1766,1809,1842,1886,1924,1966,2010,2044,2094,2137,2177,2235,2286,2329,2384,2439,2494,2558,2630,2687,2744,2804,2862,2925,2991,3058,3127,3183,3267,3347,3434,3508,3598,3679,3776,3864,3952,4045,4136,4249,4344,4454,4566,4683,4790,4940,5058,5184,5327,5461,5604,5751,5887,6040,6181,6350,6488,6642,6795,6932,7121,7274,7460,7653,7837,8009,8184,8378,8556,8749,8977,9174,9411,9647,9911,10169,10396,10651,10927,11200,11487,11730,11988,12261,12535,12830,13105,13401,13684,13962,14280,14610,14948,15240,15552,15839,16112,16438,16780,17136,17458,17764,18070,18410,18763,19117,19458,19809,20168,20538,20892,21238,21640,22019,22422,22825,23256,23690,24107,24569,25018,25473,25934,26425,26924,27419,27929,28429,28903,29412,29974,30520,31098,31664,32214,32802,33407,34019,34630,35248,35822,36391,37004,37644,38219,38834,39426,40017,40611,41294,41973,42633,43257,43896,44518,45109,45780,46444,47083,47750,48374,49049,49762,50438,51087,51705,52376,53058,53719,54362,55066,55812,56542,57266,58045,58831,59569,60279,61033,61789,62615,63354,64179,64975,65827,66678,67530,68391,69280,70145,71094,71956,72865,73790,74693,75639,76620,77583,78490,79442,80387,81381,82349,83312,84269,85277,86299,87378,88449,89506,90589,91665,92738,93881,94967,96097,97214,98366,99506,100704,101926,103172,104422,105647,106913,108222,109496,110876,112183,113600,115053,116454,117842,119364,120799,122351,123910,125460,127048,128602,130255,131870,133504,135109,136765,138421,140174,141919,143784,145611,147502,149354,151291,153300,155331,157363,159364,161350,163406,165542,167578,169725,171914,174174,176360,178655,180974,183273,185608,188047,190417,192792,195264,197782,200223,202714,205307,207837,210377,213063,215793,218517,221289,224103,226940,229858,232903,235962,239079,242313,245492,248826,251958,255192,258454,261869,265302,268711,272393,275953,279675,283209,286845,290651,294441,298295,302268,306292,310285,314344,318524,322722,327129,331500,335946,340464,344845,349394,354042,358798,363560,368353,373135,377770,382724,387672,392783,397848,403098,408291,413615,419047,424324,429827,435290,440856,446625,452407,458284,464267,470283,476325,482431,488616,494876,501311,508029,514733,521375,528240,535148,542101,549114,556326,563611,571053,578526,586159,593884,601718,609571,617424,625794,634007,642307,650754
1,1,1,3,3,6,7,10,14,20,23,28,42,53,59,70,76,85,97,106,121,126,135,143,154,165,178,192,201,206,221,230,243,251,260,269,278,286,294,300,318,332,346,356,366,376,387,400,421,437,448,465,474,492,511,522,538,554,573,593,618,640,658,677,699,720,742,766,785,804,830,850,875,897,912,925,947,972,1003,1027,1058,1081,1107,1135,1169,1206,1236,1270,1306,1343,1382,1408,1463,1498,1537,1578,1615,1667,1711,1769,1817,1870,1919,1971,2018,2088,2151,2217,2288,2348,2415,2490,2556,2620,2670,2730,2812,2889,2961,3024,3092,3173,3243,3334,3418,3504,3582,3675,3756,3837,3911,4000,4086,4183,4275,4371,4475,4567,4679,4785,4889,5009,5126,5259,5380,5498,5611,5726,5871,6010,6153,6298,6446,6612,6762,6901,7022,7154,7288,7453,7596,7760,7939,8082,8237,8382,8524,8687,8826,8988,9134,9290,9455,9603,9756,9912,10067,10213,10366,10508,10688,10840,11041,11208,11385,11551,11749,11933,12097,12292,12458,12695,12926,13143,13375,13615,13870,14134,14375,14617,14875,15193,15470,15758,16054,16319,16596,16920,17243,17531,17822,18118,18454,18786,19117,19466,19770,20111,20423,20748,21097,21434,21790,22150,22537,22871,23265,23644,24003,24357,24717,25097,25502,25885,26309,26737,27187,27607,28030,28471,28895,29405,29888,30361,30824,31328,31849,32344,32888,33453,33983,34512,35069,35679,36273,36870,37455,38100,38723,39335,39974,40658,41308,41977,42649,43343,44086,44775,45525,46215,46977,47735,48461,49293,50073,50842,51657,52507,53330,54177,55082,55954,56893,57829,58752,59695,60653,61686,62708,63707,64792,65824,66962,68091,69245,70478,71644,72890,74215,75425,76692,78012,79364,80717,82062,83481,84848,86240,87681,89108,90461,91967,93486,95024,96529,98070,99532,101094,102703,104324,105966,107572,109257,110968,112760,114456,116181,118027,119776,121616,123440,125336,127278,129188,131182,133221,135370,137516,139728,141924,144170,146464,148829,151217,153529,156025,158548,161087,163602,166254,169003,171669,174432,177262,180137,182989,185914,188795,191801,194757,197836,200877,203976,207054,210342,213537,216748,220130,223528,226920,230394,233832,237352,240934,244605,248409,252256,256170,260083,264101,268086,272267,276405,280643,284984,289304,293752,298205,302877,307502,312278,316941,321869,326848,331996,337071,342257,347550,352805,358220,363667,369112,374678,380192,385915,391702,397469,403455,409370,415390,421442,427591,433800,440139,446418,452827,459424,466066,472465,479168,486058,492859,499854,506919,514237,521586,528757,536139,543679,551256,558897,566560,574587,582473,590530,598746,607077,615623,624159,632771,641556,650560,659686,668782,678066,687359,696777,706060,715660,725444,735478,745714,755787,765981,776357,787041,797675,808448,819436,830375,841482,852603,863961,875532,887268,899008,910727,922704,934602,946812,959271,971796,984247,996878,1009513,1022419,1035208,1048333,1061657,1075048,1088388,1102253,1116053,1129935,1144005,1158209,1172493,1187026,1201506,1216271,1231115,1246181,1261283,1276459,1291967,1307531,1323296
1,1,1,1,1,6,6,6,6,7,7,8,9,11,15,15,16,18,24,31,35,41,44,49,55,58,60,65,69,78,82,94,98,106,114,120,126,136,153,162,179,194,208,228,239,255,276,290,304,320,334,349,362,379,399,420,434,446,460,467,487,503,518,536,555,576,585,607,623,635,653,674,698,721,738,771,788,818,843,869,895,924,961,999,1032,1068,1102,1139,1168,1199,1233,1274,1305,1340,1397,1463,1514,1551,1605,1649,1695,1741,1779,1840,1880,1945,2001,2060,2117,2190,2246,2293,2345,2423,2474,2552,2617,2672,2737,2800,2877,2968,3059,3142,3224,3325,3420,3530,3612,3696,3783,3894,4002,4114,4227,4336,4473,4584,4714,4850,5001,5159,5291,5439,5572,5718,5880,6009,6147,6281,6435,6587,6752,6901,7075,7228,7365,7509,7670,7847,8015,8184,8349,8514,8665,8826,8970,9145,9316,9474,9635,9812,9962,10149,10307,10450,10615,10775,10917,11082,11222,11393,11571,11724,11872,12017,12173,12334,12493,12650,12812,12983,13152,13314,13477,13655,13810,13989,14175,14361,14559,14756,14939,15126,15334,15546,15767,15944,16197,16421,16665,16897,17144,17391,17669,17965,18225,18525,18792,19089,19397,19673,19976,20287,20582,20912,21207,21534,21857,22203,22554,22886,23196,23552,23883,24173,24526,24900,25214,25563,25902,26247,26631,27010,27380,27742,28150,28570,29004,29425,29870,30355,30799,31294,31784,32265,32794,33345,33880,34435,34992,35534,36095,36685,37235,37809,38429,39041,39647,40251,40859,41489,42127,42801,43471,44133,44795,45454,46172,46843,47544,48262,48994,49797,50565,51445,52288,53162,54026,54873,55747,56676,57592,58549,59459,60412,61317,62319,63306,64360,65276,66185,67175,68196,69258,70285,71344,72395,73532,74699,75819,76956,78021,79140,80265,81440,82610,83812,85043,86323,87597,88899,90192,91482,92903,94330,95688,97074,98510,99925,101345,102759,104245,105668,107151,108643,110157,111695,113170,114751,116355,117916,119544,121153,122710,124390,126120,127865,129591,131296,133132,135005,136888,138713,140654,142515,144433,146350,148278,150275,152257,154291,156282,158370,160503,162585,164816,166961,169097,171355,173523,175756,177990,180368,182611,184975,187416,189821,192309,194755,197165,199704,202323,204948,207592,210295,213020,215783,218455,221330,224158,227102,230019,233028,236083,239163,242224,245317,248497,251661,254860,257978,261373,264705,268020,271448,274928,278543,282164,285843,289631,293394,297148,301119,305019,309051,313312,317551,321764,326153,330529,335035,339554,344086,348803,353620,358469,363403,368482,373518,378642,383799,389269,394713,400282,405851,411489,417140,422960,428911,435059,441060,447196,453448,459897,466313,472776,479279,485901,492678,499558,506421,513511,520656,527675,535046,542467,549951,557242,564881,572625,580477,588304,596234,604445,612703,620964,629355,637847,646341,654941,663688,672456,681261,690400,699414,708731,718058,727569,737131,746959,756805,766847,776897,787203,797643,808056,818970,829816,840873,851970,863265,874579,885827,897503,909282,921068
1,1,1,1,1,1,1,1,3,3,5,6,7,9,12,15,16,22,25,29,32,37,42,46,53,57,60,68,75,82,93,103,114,120,130,140,149,155,160,170,181,194,199,206,219,226,238,245,257,264,273,281,292,300,310,325,336,343,359,374,389,395,405,413,427,448,462,474,490,502,520,544,558,589,620,632,659,678,707,724,742,758,778,804,834,860,891,927,964,1001,1037,1066,1096,1126,1166,1196,1236,1273,1326,1375,1419,1490,1549,1611,1693,1763,1834,1894,1956,2022,2091,2159,2231,2297,2377,2461,2544,2644,2719,2800,2885,2976,3059,3134,3215,3291,3373,3437,3508,3593,3669,3744,3825,3913,3998,4085,4172,4246,4333,4412,4498,4595,4693,4791,4882,5001,5093,5186,5292,5388,5471,5573,5687,5795,5901,5997,6080,6188,6289,6374,6451,6552,6637,6750,6842,6929,7031,7126,7216,7316,7415,7498,7588,7669,7783,7889,7997,8100,8189,8295,8421,8525,8636,8757,8866,8966,9082,9192,9317,9433,9578,9703,9816,9922,10068,10198,10338,10475,10616,10773,10936,11099,11249,11396,11561,11708,11859,12009,12189,12355,12525,12698,12854,13032,13178,13309,13471,13658,13823,13982,14140,14305,14470,14638,14839,15028,15209,15395,15550,15745,15960,16162,16372,16612,16820,17045,17268,17494,17741,17959,18207,18396,18603,18829,19027,19246,19486,19712,19958,20178,20395,20615,20839,21047,21295,21518,21742,21973,22179,22434,22679,22924,23175,23431,23685,23938,24197,24435,24723,25017,25273,25562,25854,26148,26462,26755,27079,27393,27717,28018,28325,28653,28991,29309,29674,30032,30355,30686,31033,31413,31815,32226,32627,33054,33428,33849,34278,34688,35092,35501,35957,36401,36839,37261,37704,38130,38588,39054,39499,39946,40400,40857,41331,41793,42220,42700,43172,43672,44155,44619,45091,45557,46052,46560,47079,47586,48062,48588,49086,49615,50183,50696,51246,51811,52383,52940,53556,54128,54762,55407,56085,56768,57432,58070,58775,59461,60183,60882,61557,62279,63020,63812,64595,65329,66057,66841,67633,68439,69296,70124,70998,71885,72777,73647,74561,75468,76435,77444,78411,79454,80472,81531,82572,83621,84623,85669,86727,87884,89010,90152,91297,92447,93634,94926,96158,97400,98676,99884,101226,102495,103792,105198,106556,107926,109417,110880,112306,113823,115408,116890,118499,120135,121744,123424,125152,126905,128580,130305,132137,133919,135756,137706,139555,141528,143471,145497,147469,149536,151574,153583,155675,157920,160146,162387,164543,166728,169017,171329,173594,175932,178247,180668,183030,185483,187987,190490,193032,195627,198132,200699,203318,205932,208637,211279,213997,216766,219509,222407,225219,228091,230886,233758,236724,239739,242764,245905,249007,252063,255185,258401,261685,265014,268308,271658,274992,278407,281869,285392,288925,292547,296071,299819,303464,307178,311008,314841,318690,322445,326318,330348,334305,338414,342463,346581,350832,355174,359524,363857,368257,372670,377220,381687,386350,391043,395678,400376,405228
1,1,1,1,1,1,1,1,2,2,2,3,4,5,6,8,8,8,10,10,12,17,24,30,32,41,44,49,62,71,81,89,98,110,119,128,141,153,160,168,178,194,210,227,239,247,267,279,291,310,320,330,347,360,376,392,404,421,433,449,459,473,484,495,508,523,534,549,578,596,611,638,658,670,685,701,722,754,776,800,822,858,877,899,929,962,1001,1035,1067,1105,1144,1184,1237,1275,1310,1353,1398,1456,1491,1545,1591,1638,1684,1728,1759,1799,1863,1904,1962,2035,2082,2133,2175,2219,2269,2322,2357,2408,2465,2519,2570,2624,2678,2742,2794,2847,2908,2977,3040,3091,3160,3226,3286,3348,3405,3478,3540,3612,3691,3755,3823,3894,3972,4043,4121,4211,4295,4390,4485,4581,4681,4773,4890,4987,5111,5226,5363,5484,5629,5761,5913,6074,6224,6372,6513,6652,6788,6961,7112,7265,7437,7606,7772,7939,8084,8245,8434,8597,8784,8944,9096,9267,9443,9602,9775,9947,10120,10296,10483,10658,10835,11023,11210,11375,11554,11726,11895,12082,12265,12469,12680,12875,13104,13296,13524,13749,13947,14144,14388,14626,14835,15054,15308,15555,15801,16017,16272,16507,16758,16986,17239,17492,17747,18040,18312,18579,18863,19155,19427,19709,19998,20276,20593,20923,21222,21498,21822,22165,22477,22847,23219,23597,23975,24328,24688,25063,25462,25818,26241,26700,27111,27473,27880,28298,28725,29150,29624,30087,30552,30982,31436,31872,32340,32808,33267,33776,34272,34790,35261,35768,36248,36757,37270,37781,38336,38882,39413,40006,40602,41165,41774,42354,42988,43630,44190,44834,45506,46159,46812,47474,48139,48777,49460,50143,50881,51554,52216,52946,53645,54377,55157,55892,56670,57399,58193,58945,59695,60514,61374,62192,63024,63923,64772,65622,66535,67370,68302,69199,70150,71066,72098,73062,74071,75031,75977,77008,78022,79050,80068,81056,82106,83169,84292,85411,86520,87683,88845,90019,91176,92408,93655,94911,96158,97366,98630,99971,101303,102580,103927,105290,106722,108144,109584,111064,112533,113961,115469,117044,118538,120142,121744,123314,124961,126675,128329,129943,131587,133362,135096,136880,138696,140469,142322,144246,146170,148118,150121,152148,154046,156012,158052,160040,162089,164178,166230,168439,170563,172704,174904,177220,179531,181901,184215,186607,189006,191502,194082,196589,199195,201711,204409,207133,209938,212771,215574,218465,221333,224324,227378,230455,233556,236755,239956,243139,246420,249704,252967,256342,259818,263216,266671,270197,273797,277448,281093,284838,288592,292510,296354,300225,304163,308130,312135,316114,320359,324689,328878,333266,337638,342177,346654,351190,355898,360742,365550,370305,375289,380291,385320,390601,395704,400954,406315,411722,417210,422668,428198,433914,439518,445306,451113,457083,463068,469091,475181,481444,487747,494158,500559,507007,513440,519948,526611,533232,540177,547066,554175,561362,568648,575861,583292,590727,598397,605994,613750,621670,629511,637753,645959,654099,662352,670907,679521,688310,697095,705898,714819
1,1,3,3,5,6,8,8,10,12,19,23,30,35,38,44,48,53,59,72,84,90,103,108,117,121,135,144,153,162,170,174,183,198,212,229,244,262,280,286,300,319,336,356,375,393,414,437,456,474,501,519,548,590,626,675,714,760,801,843,888,931,987,1061,1114,1171,1218,1279,1341,1405,1469,1537,1618,1682,1769,1847,1936,2013,2101,2209,2308,2387,2486,2588,2688,2773,2856,2969,3062,3177,3268,3372,3463,3555,3629,3748,3841,3938,4044,4119,4233,4338,4426,4527,4615,4711,4821,4940,5053,5123,5241,5359,5445,5560,5689,5825,5951,6092,6217,6334,6488,6640,6806,6940,7087,7231,7383,7518,7676,7825,7962,8128,8251,8385,8540,8700,8876,9025,9204,9360,9534,9703,9877,10052,10224,10418,10579,10750,10946,11134,11350,11522,11710,11896,12076,12242,12419,12600,12765,12963,13160,13333,13524,13696,13862,14046,14245,14441,14613,14814,15003,15204,15402,15601,15798,16025,16243,16461,16700,16941,17185,17410,17639,17885,18143,18384,18644,18906,19154,19440,19723,19996,20274,20553,20849,21170,21495,21826,22155,22494,22842,23190,23521,23871,24197,24542,24912,25263,25631,25978,26379,26779,27208,27594,28011,28419,28858,29284,29723,30189,30651,31080,31506,31936,32403,32901,33405,33865,34391,34857,35341,35834,36344,36882,37411,37951,38436,38959,39480,39972,40490,41071,41600,42127,42674,43229,43781,44353,44927,45489,46095,46734,47389,48056,48714,49378,50001,50669,51359,52068,52776,53487,54221,54989,55760,56510,57281,58093,58990,59822,60611,61488,62393,63362,64289,65249,66152,67061,68045,69034,69992,71011,72014,73016,73999,75070,76152,77250,78329,79412,80622,81726,82859,84006,85138,86342,87613,88802,90006,91272,92499,93717,95022,96370,97654,98899,100209,101543,102946,104267,105596,106970,108383,109762,111152,112620,114084,115620,117131,118618,120098,121632,123287,124893,126468,128133,129837,131533,133333,135035,136859,138729,140621,142378,144298,146252,148176,150139,152181,154212,156198,158287,160414,162559,164737,166899,169086,171441,173731,176077,178457,180950,183387,185965,188597,191192,193787,196488,199111,201744,204415,207131,209950,212764,215556,218465,221382,224367,227397,230407,233434,236495,239644,242862,246051,249347,252664,255939,259257,262746,266268,269731,273351,276921,280487,284162,287848,291499,295349,299196,302977,306893,310912,314894,319048,323177,327475,331783,336015,340399,344787,349363,353884,358477,363093,367810,372673,377428,382385,387412,392376,397462,402534,407812,413084,418500,423970,429385,434921,440480,446070,451859,457598,463545,469561,475744,482015,488222,494725,501080,507632,514129,520642,527297,534094,540865,547711,554859,561907,569086,576481,583819,591450,599039,606750,614500,622090,630028,638164,646087,654298,662562,671106,679436,688044,696467,705292,714078,723056,732136,741325,750623,759985,769471,779017,788617,798504,808221,818339,828492,838665,848977,859577,870024,880575,891371,902247,913300,924615,935932,947349,959063,970853,982892,994981,1007019,1019248,1031749,1044260,1056767,1069646,1082456,1095442,1108730,1122032,1135481,1149084
1,1,1,1,4,5,7,7,8,9,10,11,12,12,13,14,15,15,16,17,17,17,17,17,19,22,23,28,30,31,32,32,34,37,41,42,46,48,54,56,61,70,78,89,104,118,133,142,151,169,174,192,208,225,242,257,275,303,314,336,350,375,391,405,422,442,466,495,525,544,570,593,613,630,651,671,691,709,733,758,786,811,842,866,889,909,937,961,985,1020,1062,1101,1128,1170,1226,1274,1334,1387,1446,1497,1560,1629,1690,1754,1811,1887,1963,2042,2105,2164,2251,2328,2403,2468,2551,2617,2690,2767,2848,2915,2990,3073,3139,3209,3269,3357,3418,3484,3570,3641,3717,3800,3880,3968,4048,4150,4208,4301,4389,4485,4590,4693,4822,4951,5054,5185,5277,5424,5558,5695,5856,5989,6131,6289,6452,6633,6812,6990,7188,7380,7579,7783,7987,8208,8432,8663,8893,9115,9364,9616,9849,10088,10328,10593,10830,11069,11347,11591,11855,12069,12357,12613,12858,13116,13366,13608,13890,14147,14421,14656,14932,15189,15501,15817,16114,16402,16672,16981,17306,17623,17991,18359,18708,19053,19408,19778,20143,20564,20979,21375,21822,22287,22722,23194,23652,24083,24527,24949,25418,25842,26249,26710,27128,27584,28085,28560,29027,29485,29936,30404,30910,31400,31848,32310,32766,33273,33743,34230,34702,35203,35710,36197,36703,37240,37750,38268,38768,39293,39804,40346,40866,41430,41950,42474,43057,43680,44289,44858,45457,46081,46799,47447,48123,48831,49512,50207,50948,51692,52403,53141,53899,54630,55421,56177,56954,57778,58554,59388,60172,61021,61808,62629,63503,64302,65162,66056,66952,67878,68730,69620,70548,71455,72381,73341,74292,75329,76296,77295,78372,79418,80484,81556,82651,83708,84842,85971,87044,88050,89187,90322,91502,92715,93906,95151,96369,97581,98831,100070,101327,102560,103806,105136,106451,107760,109094,110488,111851,113282,114753,116201,117655,119109,120531,122045,123606,125181,126770,128351,129862,131476,133127,134814,136520,138233,139973,141858,143663,145444,147253,149039,150978,152919,154861,156830,158851,160870,162894,164973,167136,169212,171338,173579,175883,178146,180527,182933,185171,187584,190019,192524,195055,197614,200196,202737,205341,208079,210746,213471,216278,219004,221679,224663,227537,230509,233512,236617,239706,242863,245986,249249,252561,256042,259439,262912,266550,270147,273774,277345,281067,284894,288779,292575,296499,300444,304470,308377,312427,316541,320783,325014,329338,333746,338187,342771,347318,351912,356511,361261,366125,371019,375840,380778,385808,390945,396008,401199,406548,412083,417459,423108,428815,434558,440310,446191,452146,458092,464279,470380,476604,482869,489116,495595,502052,508546,515096,521823,528655,535543,542384,549140,556210,563329,570698,578040,585388,592898,600561,608308,616091,623861,631799,639988,648173,656436,664893,673490,682071,690700,699402,708330,717148,726340,735608,744765,754323,763717,773520,783075,793029,803207,813254,823599,834139,844674,855547,866503,877317,888332,899784,911172,922865,934658,946683,958844,971133,983341,996024
1,1,1,1,1,1,5,6,9,10,10,10,12,13,14,16,19,20,22,26,32,40,43,50,56,65,76,79,91,103,109,113,125,132,142,152,161,165,181,191,201,207,222,229,235,249,255,265,273,289,300,313,323,336,346,355,371,391,402,416,431,448,457,475,484,493,505,523,536,555,572,584,610,630,656,680,697,717,745,759,789,806,833,848,875,902,920,942,964,991,1021,1043,1071,1101,1128,1154,1175,1199,1220,1249,1285,1320,1351,1389,1421,1462,1502,1553,1607,1650,1702,1771,1825,1899,1964,2042,2116,2180,2243,2332,2409,2490,2562,2643,2734,2813,2885,2956,3041,3129,3219,3296,3380,3472,3546,3626,3716,3805,3902,3989,4067,4131,4227,4329,4401,4508,4615,4715,4803,4899,4984,5072,5158,5279,5367,5476,5579,5666,5759,5852,5941,6057,6168,6283,6398,6513,6638,6761,6874,7002,7119,7225,7357,7492,7606,7748,7878,8020,8144,8301,8436,8597,8740,8874,9030,9177,9305,9482,9626,9778,9925,10088,10258,10419,10597,10730,10867,11017,11191,11350,11543,11718,11891,12062,12233,12415,12601,12780,12954,13130,13304,13497,13644,13827,14016,14189,14378,14571,14727,14907,15124,15284,15472,15684,15871,16071,16308,16568,16766,17021,17238,17483,17725,18005,18314,18599,18864,19126,19402,19680,19993,20281,20568,20872,21244,21567,21895,22250,22624,22990,23337,23711,24068,24445,24846,25247,25657,26057,26469,26897,27351,27804,28254,28678,29166,29655,30194,30691,31203,31718,32257,32842,33416,34007,34583,35145,35796,36399,37038,37712,38404,39019,39733,40444,41142,41885,42562,43274,44011,44722,45418,46179,46889,47672,48479,49223,50015,50844,51612,52453,53326,54144,54999,55838,56750,57631,58497,59454,60372,61319,62346,63331,64304,65342,66381,67467,68521,69619,70745,71883,73006,74193,75431,76678,77877,79103,80407,81732,83092,84462,85814,87224,88654,90066,91514,92936,94347,95749,97274,98740,100217,101824,103385,105005,106664,108372,110067,111747,113524,115332,117148,119030,120971,122915,124882,126776,128855,130925,133024,135160,137393,139659,141924,144234,146587,148907,151265,153627,155993,158381,160866,163397,166017,168720,171346,173961,176657,179341,182163,184835,187666,190515,193354,196299,199338,202374,205443,208652,211765,215002,218201,221386,224573,227808,231224,234574,238024,241573,245151,248665,252355,255995,259825,263579,267389,271257,275252,279151,283216,287315,291497,295782,300133,304535,309154,313676,318298,323050,327796,332558,337341,342242,347209,352204,357445,362633,367903,373225,378586,384051,389676,395327,400951,406615,412437,418266,424254,430189,436243,442262,448235,454535,460972,467321,473789,480381,487029,493860,500689,507415,514459,521318,528420,535485,542608,550184,557656,565240,572874,580601,588370,596248,604277,612364,620633,629091,637645,646225,654818,663718,672639,681628,690906,700444,709852,719320,729013,738772,748656,758918,769181,779537,790074,800766,811697,822629,833699,845081,856403,867933,879590,891462,903289,915247,927600,939964,952475
1,1,1,6,6,7,8,11,11,12,13,15,18,20,23,30,38,40,45,52,62,66,70,77,81,93,99,104,113,122,127,134,144,160,168,171,179,188,195,203,212,224,234,247,256,263,272,277,291,303,314,326,339,350,360,375,397,417,432,455,470,497,520,537,562,597,625,651,667,687,715,738,767,793,816,845,873,901,930,963,986,1011,1036,1074,1109,1135,1170,1202,1236,1271,1301,1342,1382,1421,1475,1514,1554,1606,1655,1698,1741,1781,1834,1890,1945,1989,2052,2122,2184,2256,2316,2383,2441,2514,2585,2665,2748,2835,2924,2992,3072,3147,3208,3294,3369,3432,3515,3607,3718,3794,3871,3957,4040,4129,4228,4317,4394,4492,4579,4686,4794,4894,4990,5102,5210,5320,5423,5543,5656,5771,5881,5989,6113,6240,6368,6473,6604,6715,6837,6967,7095,7214,7384,7531,7660,7798,7939,8071,8226,8373,8526,8699,8864,9050,9209,9382,9539,9710,9849,10008,10167,10328,10506,10690,10879,11065,11248,11426,11604,11800,12027,12191,12379,12568,12756,12959,13161,13383,13610,13848,14038,14251,14450,14677,14929,15178,15413,15625,15890,16150,16390,16643,16916,17176,17446,17710,17978,18259,18507,18811,19078,19380,19674,19945,20222,20536,20823,21167,21502,21816,22139,22456,22808,23134,23463,23838,24233,24589,24971,25362,25762,26196,26671,27118,27513,27956,28414,28884,29369,29834,30334,30823,31323,31845,32369,32917,33484,34058,34600,35154,35709,36304,36902,37480,38100,38745,39360,40007,40623,41270,41904,42567,43192,43834,44537,45220,45889,46644,47366,48043,48757,49495,50253,50960,51722,52490,53280,54022,54800,55619,56406,57186,58008,58859,59704,60550,61440,62319,63244,64148,65114,66036,67015,68012,69005,70057,71168,72200,73294,74476,75613,76766,77900,79025,80211,81490,82718,84035,85341,86691,88091,89455,90911,92276,93731,95190,96746,98249,99877,101547,103145,104757,106418,108125,109838,111594,113331,115158,117004,118967,120865,122863,124816,126892,128954,131009,133180,135287,137567,139683,141896,144128,146387,148802,151158,153673,156020,158422,160897,163501,166112,168769,171385,174120,176904,179689,182576,185437,188313,191273,194229,197367,200310,203413,206570,209665,212923,216236,219421,222932,226279,229762,233360,236996,240653,244279,248065,251867,255692,259545,263557,267500,271695,275753,280017,284299,288731,293120,297537,302046,306529,311096,315918,320477,325331,330317,335310,340230,345303,350360,355678,360859,366143,371683,377171,382850,388491,394199,400034,405795,411755,417843,423894,429983,436268,442559,448889,455165,461690,468348,475185,481913,488869,495878,503050,510245,517433,524652,532149,539678,547399,555216,563126,571080,579122,587071,595344,603655,611910,620246,628654,637286,645941,654652,663609,672763,681903,691028,700270,709660,719152,728897,738778,748739,758663,768904,779183,789432,799795,810305,821016,831966,842903,854326,865791,877266,888868,900560,912634,924820,937004,949449,962056,974716,987696,1000710,1014036,1027284,1040581,1054057,1067880,1081809,1095859,1110152,1124623,1139098,1153993
1,1,1,1,1,2,4,8,9,11,14,16,18,20,22,24,32,36,41,45,49,57,65,75,79,87,96,98,108,117,130,136,146,152,160,168,176,184,189,193,197,206,213,220,227,236,244,247,256,270,281,290,294,298,306,316,324,345,355,372,386,400,421,443,460,482,509,530,552,578,608,637,664,684,712,736,772,800,828,853,880,905,928,945,971,1005,1036,1065,1102,1149,1186,1229,1265,1314,1369,1405,1455,1505,1545,1599,1650,1704,1748,1796,1871,1915,1981,2042,2106,2177,2264,2342,2417,2502,2597,2680,2770,2854,2940,3032,3121,3226,3327,3432,3530,3621,3739,3847,3935,4050,4170,4290,4400,4517,4618,4722,4826,4937,5055,5166,5285,5414,5536,5640,5742,5875,6014,6153,6281,6424,6551,6692,6839,6976,7118,7278,7433,7586,7759,7954,8151,8351,8587,8773,8955,9144,9356,9553,9716,9945,10158,10362,10581,10797,11038,11256,11459,11666,11884,12118,12348,12574,12823,13054,13308,13548,13795,14031,14267,14509,14751,14994,15222,15421,15653,15898,16160,16398,16630,16905,17168,17436,17726,17998,18269,18526,18821,19094,19391,19682,19943,20276,20585,20877,21201,21541,21861,22176,22491,22842,23183,23538,23889,24257,24630,24988,25362,25723,26117,26495,26907,27355,27760,28168,28617,29085,29514,29973,30428,30899,31351,31840,32324,32804,33320,33805,34280,34785,35314,35835,36365,36931,37479,38014,38593,39148,39693,40294,40853,41471,42057,42607,43185,43832,44445,45021,45643,46302,46902,47505,48108,48709,49387,50023,50660,51326,52001,52697,53366,54101,54813,55531,56229,56973,57771,58571,59439,60257,61129,61942,62782,63671,64547,65406,66272,67181,68116,69070,70050,70998,72014,73019,73992,74945,75967,76958,78008,79095,80108,81228,82244,83387,84500,85635,86773,87907,89089,90254,91427,92648,93821,94975,96159,97351,98641,99893,101257,102483,103770,105082,106478,107844,109271,110755,112218,113669,115159,116722,118316,119926,121503,123192,124826,126566,128254,129964,131719,133560,135346,137221,139225,141184,143176,145186,147241,149314,151354,153486,155642,157792,160043,162248,164581,166845,169174,171548,173893,176314,178868,181342,183843,186423,189048,191638,194427,197207,200010,202868,205767,208772,211782,214802,217804,220959,224094,227322,230630,233978,237361,240780,244261,247846,251467,255086,258889,262668,266599,270433,274331,278334,282384,286374,290447,294623,298748,303070,307418,311774,316148,320678,325215,329771,334413,339134,343895,348743,353636,358522,363515,368497,373654,378898,384159,389473,394779,400258,405840,411334,416914,422539,428405,434220,440042,446069,452016,458162,464309,470606,476976,483444,489995,496514,503266,509941,516812,523745,530735,537814,545138,552442,559883,567293,574786,582639,590288,598125,606025,614163,622359,630782,639109,647688,656542,665200,674044,683206,692213,701503,710868,720344,730230,740058,750038,760098,770361,780684,791016,801587,812156,823004,834272,845286,856536,867832,879306,890821,902478,914323,926522,938523,950778,963146,975876,988750,1001610,1014633,1028096
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1,1,1,2,3,4,5,9,10,11,14,15,17,24,25,28,33,39,47,55,66,73,82,88,103,111,123,132,140,151,163,173,181,192,202,210,217,223,231,237,245,250,258,262,271,277,282,286,293,296,302,305,314,320,327,334,343,348,352,357,361,368,372,380,392,402,413,425,442,451,464,473,478,492,509,520,533,544,557,578,586,606,631,646,675,702,738,764,790,825,854,889,930,963,996,1024,1056,1091,1126,1159,1197,1237,1271,1303,1343,1382,1415,1450,1481,1522,1561,1598,1630,1664,1692,1729,1757,1811,1861,1914,1980,2021,2065,2107,2168,2220,2295,2361,2436,2496,2559,2626,2695,2769,2850,2927,3009,3073,3160,3229,3313,3376,3465,3525,3620,3707,3776,3857,3946,4032,4122,4217,4306,4380,4444,4552,4639,4748,4824,4908,5000,5088,5169,5247,5337,5430,5525,5609,5712,5815,5917,6031,6129,6233,6323,6416,6524,6626,6725,6810,6900,6997,7093,7190,7310,7427,7545,7656,7750,7855,7943,8042,8160,8285,8399,8522,8646,8801,8913,9037,9153,9259,9387,9516,9629,9750,9888,10008,10144,10298,10437,10577,10712,10853,10996,11145,11308,11462,11608,11748,11924,12096,12260,12416,12602,12774,12959,13134,13319,13490,13666,13858,14044,14250,14432,14629,14843,15044,15260,15461,15684,15924,16152,16357,16584,16828,17076,17316,17554,17786,18043,18301,18522,18781,19014,19268,19502,19772,20028,20310,20613,20872,21143,21419,21707,21988,22288,22566,22855,23134,23438,23742,24050,24337,24656,24999,25330,25664,25980,26310,26659,26974,27298,27658,27990,28312,28664,29026,29380,29758,30120,30471,30819,31225,31576,31949,32355,32779,33197,33629,34034,34470,34936,35398,35895,36417,36953,37473,38014,38575,39107,39647,40239,40795,41392,42030,42612,43242,43891,44520,45182,45824,46479,47181,47866,48508,49201,49898,50571,51300,52019,52771,53509,54274,55013,55763,56492,57219,57969,58745,59499,60286,61081,61893,62699,63550,64392,65222,66037,66890,67769,68680,69599,70496,71448,72466,73453,74403,75384,76437,77478,78517,79599,80647,81669,82753,83851,84858,85931,87008,88137,89244,90365,91462,92613,93770,94903,96055,97215,98433,99613,100919,102206,103470,104757,106081,107435,108831,110269,111669,113138,114627,116172,117778,119349,120933,122608,124264,125973,127702,129416,131115,132953,134768,136661,138410,140310,142219,144135,146158,148026,150038,152107,154254,156428,158530,160751,162948,165224,167526,169814,172066,174429,176833,179234,181557,184017,186690,189227,191790,194417,197055,199698,202436,205315,208154,211090,214066,217028,220035,223140,226165,229269,232489,235706,238966,242311,245680,249099,252557,256096,259554,263100,266681,270227,273819,277587,281386,285126,288966,292855,296841,300824,304901,309029,313195,317426,321750,326054,330427,334960,339634,344123,348837,353518,358484,363316,368183,373142,378222,383219,388362,393520,398904,404330,409804,415399,421083,426763,432527,438386,444304,450149,456165,462497,468627,474926
1,1,1,1,1,1,2,6,7,8,8,11,12,12,13,16,18,24,27,30,35,42,49,53,56,65,74,79,88,93,97,107,121,132,143,154,165,175,183,189,196,201,209,218,227,236,249,265,271,278,291,298,316,321,330,342,357,373,388,410,426,445,454,480,507,532,556,573,606,633,655,677,697,726,755,794,821,850,890,931,963,992,1029,1071,1105,1150,1196,1238,1273,1313,1369,1405,1439,1469,1515,1565,1606,1658,1708,1760,1802,1856,1892,1947,1981,2039,2092,2143,2199,2245,2296,2359,2433,2498,2567,2632,2728,2816,2906,2978,3065,3136,3234,3332,3428,3531,3640,3750,3853,3959,4066,4182,4283,4382,4477,4584,4678,4793,4901,5008,5105,5207,5312,5418,5525,5631,5736,5845,5952,6078,6203,6310,6426,6554,6692,6810,6946,7071,7196,7318,7448,7591,7732,7882,8001,8153,8267,8401,8545,8670,8813,8961,9120,9258,9413,9572,9713,9863,10025,10171,10302,10438,10555,10699,10858,11034,11182,11329,11497,11661,11822,12012,12209,12370,12546,12715,12902,13072,13239,13443,13648,13848,14032,14264,14496,14718,14921,15122,15300,15524,15734,15947,16193,16415,16638,16874,17107,17341,17609,17863,18134,18420,18714,18960,19212,19456,19731,20001,20268,20548,20835,21153,21473,21775,22064,22369,22669,23002,23341,23684,24027,24371,24733,25081,25436,25784,26148,26557,26926,27338,27723,28132,28537,28971,29361,29753,30148,30578,31019,31482,31941,32393,32825,33308,33747,34224,34704,35206,35741,36286,36843,37373,37968,38563,39125,39760,40393,40969,41598,42247,42859,43532,44208,44858,45497,46159,46864,47534,48254,48931,49645,50429,51172,51986,52776,53549,54340,55130,55927,56729,57609,58455,59314,60194,61036,61924,62821,63713,64609,65502,66385,67301,68179,69117,70092,71076,72054,73087,74128,75108,76204,77310,78415,79494,80538,81650,82796,83941,85172,86324,87575,88831,90068,91369,92653,93991,95326,96672,98024,99400,100767,102230,103722,105203,106763,108298,109814,111278,112863,114448,116054,117677,119327,121029,122693,124434,126305,128169,130032,131873,133687,135504,137320,139254,141148,143080,145025,147038,149072,151140,153195,155389,157495,159625,161726,164012,166277,168516,170856,173216,175616,178122,180569,183109,185675,188272,191047,193803,196657,199462,202267,205201,208277,211285,214430,217526,220630,223877,227073,230295,233660,237069,240513,243997,247393,250872,254514,258129,261785,265538,269386,273256,277045,280843,284743,288703,292733,296758,300793,304960,309179,313477,317736,322055,326532,330951,335438,340093,344818,349520,354281,359215,364077,369037,374082,379090,384242,389306,394584,399871,405212,410544,415951,421416,427147,432850,438614,444350,450167,456084,462064,468165,474424,480651,486969,493523,500074,506707,513472,520265,527254,534338,541471,548812,556003,563353,570617,578056,585674,593523,601338,609215,617333,625647,634073,642321,650605,659040,667702,676414,685101,693935,702800,711905,720878,730232,739658,748959,758588,768139,778001,787695,797627,807694,817992,828326,838677
1,1,1,1,1,1,1,2,5,8,11,11,14,16,22,26,29,34,39,39,39,42,45,48,49,51,51,54,59,67,73,83,88,93,100,107,117,122,127,137,146,154,159,166,179,188,197,203,210,216,224,233,235,240,248,254,258,265,270,274,278,284,289,298,302,309,316,319,327,334,338,349,364,373,385,400,414,437,455,479,498,519,542,572,603,631,659,684,715,743,770,798,831,853,877,903,923,944,964,983,1003,1023,1039,1061,1080,1099,1119,1144,1163,1177,1199,1227,1254,1287,1322,1349,1373,1409,1452,1484,1523,1570,1609,1666,1713,1778,1817,1866,1922,1990,2056,2137,2209,2279,2341,2416,2500,2574,2665,2740,2825,2884,2956,3044,3135,3206,3306,3401,3509,3612,3708,3804,3899,3995,4106,4233,4335,4427,4534,4630,4736,4840,4951,5075,5185,5304,5420,5541,5657,5774,5911,6045,6170,6301,6434,6576,6711,6851,6990,7123,7271,7428,7580,7738,7862,8011,8154,8312,8477,8622,8786,8928,9067,9231,9392,9545,9707,9880,10063,10208,10380,10540,10693,10845,11002,11194,11377,11585,11769,11944,12114,12264,12446,12647,12858,13080,13335,13549,13787,13999,14243,14464,14699,14990,15263,15539,15829,16140,16439,16725,17012,17282,17596,17876,18172,18500,18798,19072,19363,19634,19930,20226,20513,20805,21094,21345,21622,21867,22135,22408,22693,22967,23253,23528,23810,24103,24387,24686,24970,25232,25562,25846,26141,26443,26760,27046,27350,27675,27995,28353,28661,29014,29322,29678,29993,30327,30660,30976,31298,31639,31991,32353,32694,33043,33403,33752,34125,34509,34889,35267,35651,36055,36487,36949,37368,37831,38275,38760,39223,39699,40157,40645,41144,41658,42179,42708,43228,43754,44281,44816,45372,45997,46590,47172,47741,48303,48885,49487,50108,50743,51364,52005,52638,53273,53964,54671,55364,56068,56803,57602,58350,59137,59909,60666,61447,62253,63089,63924,64802,65675,66562,67396,68255,69180,70057,70944,71864,72803,73759,74733,75743,76739,77789,78860,79895,81007,82102,83172,84252,85370,86531,87682,88907,90137,91402,92662,93901,95174,96500,97824,99132,100460,101824,103211,104548,105960,107361,108832,110318,111837,113411,114970,116608,118180,119776,121482,123212,124895,126743,128531,130328,132176,134019,135941,137873,139831,141823,143918,145980,148082,150216,152400,154601,156806,158940,161170,163478,165690,168033,170411,172833,175308,177841,180363,183030,185636,188216,190849,193590,196373,199130,201927,204674,207518,210611,213588,216623,219795,222875,226132,229225,232554,235889,239275,242766,246327,249776,253399,256989,260600,264235,267917,271526,275321,279281,283171,287062,291016,295000,299012,303202,307385,311570,316008,320416,324848,329391,333977,338501,343117,347834,352575,357419,362274,367184,372261,377489,382654,387966,393200,398637,404141,409575,415163,420827,426585,432395,438411,444333,450346,456499,462922,469491,476124,482734,489572,496434,503454,510493,517560,524751,532061,539463,547170,554859,562714,570646
1,1,1,2,2,4,4,5,6,7,7,7,7,7,8,8,9,9,10,14,14,16,17,17,19,20,22,25,25,27,30,31,34,39,41,46,49,56,62,66,72,78,88,93,99,106,111,118,123,136,142,156,161,167,176,185,192,197,206,209,218,222,229,238,244,249,252,260,264,270,274,276,280,284,292,303,307,313,327,336,349,354,367,373,386,399,418,440,449,473,497,524,544,569,599,631,667,697,724,762,792,813,840,863,893,914,952,979,1007,1037,1073,1104,1132,1157,1184,1218,1247,1282,1312,1341,1367,1402,1435,1473,1513,1546,1593,1640,1683,1728,1778,1836,1881,1944,1982,2051,2126,2186,2252,2305,2364,2410,2460,2524,2600,2669,2751,2810,2896,2970,3031,3103,3179,3252,3316,3399,3486,3556,3637,3723,3803,3883,3947,4030,4100,4179,4258,4341,4417,4531,4625,4705,4792,4901,4999,5093,5181,5281,5380,5483,5578,5685,5806,5902,6006,6130,6248,6355,6480,6603,6730,6855,6971,7082,7206,7344,7461,7603,7742,7858,7967,8091,8218,8372,8532,8703,8846,9025,9212,9374,9550,9748,9923,10119,10312,10511,10683,10857,11072,11263,11472,11650,11860,12044,12246,12471,12693,12900,13112,13330,13566,13795,14058,14286,14515,14744,14991,15215,15476,15725,15978,16267,16553,16829,17090,17339,17640,17937,18233,18522,18839,19147,19479,19799,20148,20472,20811,21157,21498,21867,22209,22570,22939,23303,23716,24050,24435,24858,25228,25649,26030,26464,26934,27401,27810,28262,28695,29147,29610,30096,30559,31053,31563,32068,32594,33095,33649,34210,34804,35373,35993,36621,37228,37829,38449,39087,39719,40349,40990,41696,42398,43081,43832,44508,45245,46007,46740,47560,48311,49067,49819,50664,51539,52361,53175,53981,54840,55709,56584,57418,58271,59116,60041,60891,61794,62702,63615,64553,65494,66442,67426,68463,69452,70460,71483,72558,73703,74746,75875,76963,78141,79304,80454,81626,82819,83992,85295,86542,87857,89147,90460,91670,93034,94337,95681,97099,98498,99968,101292,102667,104097,105591,107023,108646,110202,111728,113314,114959,116624,118253,119883,121612,123390,125127,126888,128585,130376,132224,134128,136027,137893,139797,141740,143721,145637,147571,149607,151652,153754,155800,157907,160018,162170,164340,166495,168649,170825,173033,175266,177515,179848,182117,184461,186794,189094,191410,193705,196139,198495,200972,203398,205776,208280,210763,213328,216011,218624,221222,224079,226815,229641,232447,235265,238166,241150,244203,247204,250238,253387,256550,259821,263086,266281,269582,273062,276369,279724,283070,286580,290123,293794,297550,301403,305162,308994,312733,316675,320684,324623,328677,332814,337022,341286,345594,349972,354394,358799,363377,368008,372612,377394,382299,387146,392097,397223,402349,407501,412812,418140,423472,428879,434570,440311,445963,451743,457696,463530,469411,475506,481621,487860,493952,500202,506631,513107,519643,526260,533115,539856,546736,553714,560828,568046,575295,582655,590073,597683
1,1,1,1,1,1,2,2,2,4,10,11,11,12,14,14,15,17,18,18,19,21,23,23,26,30,33,36,41,41,45,46,54,60,68,82,89,99,104,111,120,137,154,165,179,191,201,218,229,244,263,281,305,326,344,369,390,412,426,444,462,480,510,530,549,566,588,606,628,652,680,704,727,754,771,801,832,862,898,931,958,989,1019,1055,1096,1133,1161,1201,1248,1295,1340,1387,1438,1501,1548,1588,1642,1692,1739,1784,1830,1880,1921,1974,2028,2065,2103,2145,2199,2251,2309,2376,2423,2467,2518,2580,2623,2680,2748,2800,2863,2919,2971,3039,3101,3176,3240,3314,3385,3470,3548,3607,3677,3758,3834,3905,3969,4050,4137,4205,4284,4354,4422,4480,4564,4624,4697,4765,4841,4929,5045,5131,5228,5334,5427,5530,5628,5759,5858,5955,6099,6227,6353,6498,6638,6796,6941,7075,7208,7353,7531,7689,7868,8048,8234,8400,8596,8786,8981,9193,9404,9615,9837,10107,10376,10649,10909,11176,11445,11721,11990,12267,12593,12907,13208,13552,13883,14238,14574,14955,15316,15656,16002,16415,16817,17213,17608,17988,18385,18805,19256,19733,20192,20636,21085,21564,22042,22478,22993,23551,24080,24601,25104,25624,26179,26727,27278,27810,28398,29005,29625,30254,30867,31484,32032,32623,33268,33895,34565,35249,35939,36606,37327,38013,38726,39474,40218,40949,41702,42447,43242,44027,44845,45645,46511,47372,48193,49113,50020,50944,51937,52943,53977,54974,56019,57067,58120,59220,60370,61588,62760,63975,65152,66409,67636,68891,70186,71486,72855,74211,75582,76988,78483,79976,81455,83029,84611,86159,87820,89519,91219,92946,94737,96583,98443,100256,102124,104102,106025,107997,109946,112039,114019,116130,118248,120460,122638,124853,127056,129302,131586,133976,136282,138679,141093,143551,146064,148493,151073,153663,156225,158824,161372,164107,166860,169570,172420,175190,178040,180985,183872,186811,189758,192779,195868,198899,202106,205361,208470,211698,215011,218376,221746,225072,228435,231976,235528,239165,242805,246466,250088,253926,257615,261435,265340,269348,273406,277574,281682,285867,290078,294482,298891,303315,307806,312318,316858,321539,326301,331128,336006,341011,346068,351031,356176,361261,366458,371751,377179,382640,388058,393625,399105,404850,410615,416391,422336,428261,434342,440441,446721,453180,459627,465914,472605,479258,486035,492667,499593,506462,513512,520757,528075,535382,543007,550638,558341,566102,573988,581937,590036,598094,606126,614519,622919,631515,639977,648767,657700,666799,675754,684782,694017,703313,712844,722444,732051,741876,751716,761862,772046,782383,792755,803284,813725,824437,835268,846374,857577,868774,879962,891397,902873,914488,926223,938138,950237,962260,974540,986964,999409,1012046,1024854,1037834,1050968,1064157,1077700,1091220,1104799,1118699,1132849,1147263,1161886,1176611,1191248,1206205,1221349,1236650,1252096,1267728,1283427,1299521,1315821,1332405,1348793,1365522,1382524,1399788,1417045,1434650,1452305,1470199,1488325,1506754,1525250,1543920,1562854,1581667,1600898,1620055,1639908,1659841,1680072,1700442,1721096,1742109,1763236
1,1,1,1,1,3,5,6,8,9,9,9,10,10,13,13,14,14,16,18,18,18,23,24,25,27,27,30,30,34,36,38,44,47,52,55,60,63,68,71,75,79,89,100,106,116,120,126,134,144,151,160,166,174,183,193,198,204,212,215,221,225,227,233,238,244,251,262,265,274,279,286,296,301,304,311,318,328,330,337,349,357,364,375,384,398,412,421,439,452,469,493,513,530,558,574,597,614,635,661,677,693,721,750,773,812,838,875,911,940,977,1011,1057,1095,1135,1161,1195,1234,1273,1303,1337,1383,1419,1444,1486,1518,1551,1588,1614,1649,1691,1726,1765,1813,1852,1893,1940,1977,2022,2080,2145,2189,2236,2288,2363,2410,2471,2535,2600,2652,2725,2797,2860,2930,3012,3073,3126,3186,3261,3337,3413,3503,3585,3658,3729,3811,3894,3958,4037,4117,4209,4291,4383,4495,4593,4694,4814,4904,5023,5125,5234,5361,5471,5584,5684,5792,5905,6007,6110,6257,6381,6498,6633,6765,6904,7071,7186,7338,7479,7607,7749,7893,8055,8181,8325,8472,8610,8747,8880,9023,9169,9313,9458,9598,9727,9882,10022,10181,10315,10471,10607,10766,10956,11127,11293,11479,11677,11845,12058,12252,12474,12717,12952,13184,13422,13664,13914,14181,14453,14736,15015,15298,15608,15925,16212,16538,16825,17139,17436,17775,18122,18450,18837,19212,19557,19914,20284,20644,20947,21332,21716,22120,22509,22917,23309,23691,24114,24511,24920,25377,25764,26188,26633,27052,27498,27988,28452,28962,29425,29930,30431,30966,31444,31972,32494,33027,33579,34120,34685,35243,35900,36510,37125,37767,38406,39011,39668,40360,41061,41713,42403,43104,43833,44556,45280,46029,46812,47572,48319,49088,49853,50635,51478,52259,53063,53941,54853,55656,56564,57467,58385,59317,60315,61254,62274,63277,64255,65286,66397,67447,68538,69695,70825,71957,73104,74260,75368,76602,77805,79035,80293,81517,82781,84094,85357,86670,87934,89293,90633,91934,93270,94682,96084,97497,98938,100432,101876,103307,104825,106301,107776,109285,110895,112492,114055,115629,117245,119096,120902,122699,124433,126252,128091,129871,131717,133550,135480,137498,139518,141566,143692,145757,147914,150083,152334,154620,156978,159412,161836,164299,166778,169316,171785,174398,176976,179694,182456,185245,187972,190871,193740,196709,199629,202564,205598,208622,211664,214863,217976,221246,224496,227917,231221,234459,237859,241281,244842,248519,252221,255853,259592,263317,267226,271058,275023,279032,283027,287100,291350,295565,299830,304161,308589,313086,317458,322144,326888,331606,336373,341218,346263,351427,356582,361825,367081,372424,377799,383241,388794,394441,400097,405926,411929,418066,424292,430536,436973,443334,449585,456208,462646,469325,476009,482787,489806,496774,503965,511201,518549,525936,533483,540953,548586,556414,564069,571962,579852,587954,596025,604291,612678,621036,629498,638127,646818,655652,664430,673470,682449,691646,700939,710301,719783,729450,739054,748833,758866
1,1,2,4,6,8,9,11,12,15,19,20,22,26,30,31,31,33,35,38,45,49,56,61,71,76,84,92,96,106,112,136,145,159,168,178,189,202,218,230,248,264,284,301,314,320,332,344,354,366,382,401,409,420,432,438,448,460,469,489,497,510,530,549,558,574,589,599,619,637,652,683,694,705,732,744,766,785,806,828,855,879,899,922,959,993,1025,1054,1081,1104,1141,1163,1194,1217,1242,1276,1301,1330,1361,1386,1411,1453,1484,1516,1552,1580,1612,1658,1697,1726,1774,1809,1863,1913,1959,1996,2040,2078,2134,2196,2255,2317,2379,2437,2522,2590,2663,2730,2800,2879,2954,3022,3094,3171,3270,3354,3442,3524,3606,3689,3779,3875,3961,4049,4149,4246,4340,4434,4548,4652,4772,4887,5013,5135,5248,5374,5496,5616,5751,5881,6013,6174,6301,6442,6578,6747,6910,7060,7213,7376,7546,7702,7879,8086,8262,8438,8615,8817,8979,9168,9365,9574,9775,9974,10177,10387,10618,10836,11052,11284,11528,11746,12014,12268,12500,12761,13040,13317,13609,13902,14181,14445,14758,15041,15353,15660,15933,16272,16583,16876,17189,17537,17873,18212,18558,18905,19250,19611,20003,20372,20747,21086,21425,21816,22222,22639,23060,23482,23894,24340,24768,25190,25602,26027,26497,26969,27431,27892,28336,28792,29298,29830,30366,30932,31454,32042,32599,33155,33718,34308,34874,35492,36093,36770,37363,37957,38609,39226,39828,40475,41127,41883,42598,43296,43997,44681,45424,46239,47009,47787,48592,49486,50361,51179,52057,52897,53739,54595,55548,56461,57374,58353,59406,60514,61579,62637,63716,64791,65910,67031,68266,69455,70663,71828,73029,74265,75452,76749,78000,79248,80543,81867,83243,84603,85995,87437,88835,90282,91727,93151,94656,96136,97684,99288,100900,102540,104171,105863,107461,109152,110800,112668,114475,116170,118003,119859,121703,123677,125614,127625,129667,131768,133922,136053,138143,140339,142707,145012,147378,149702,152117,154532,157135,159723,162321,164911,167595,170360,173139,175911,178813,181698,184681,187629,190604,193643,196712,199960,203128,206350,209592,212836,216260,219605,223122,226578,229975,233538,237049,240743,244406,248162,251911,255775,259736,263715,267625,271758,275932,280056,284372,288614,292843,297370,301689,306162,310589,315177,319777,324554,329468,334285,339218,344059,348988,353970,358968,364084,369300,374512,379709,384937,390306,395658,401006,406662,412222,417889,423395,429120,434943,440773,446798,452682,458810,465063,471270,477700,484169,490923,497591,504361,511120,518147,525231,532444,539746,547125,554681,562459,570218,578249,586362,594542,602922,611365,619841,628404,637109,645996,654911,663910,673213,682460,691859,701280,710739,720396,730163,740179,749963,760062,770376,780786,791273,801901,812671,823383,834382,845541,856622,868161,879501,890984,902939,914927,926819,939078,951401,963984,976576,989530,1002677,1015831,1029032,1042404,1056138,1069768,1083471,1097465,1111808,1126193,1140811,1155590,1170622,1185520,1200821,1216166,1231396,1247232,1262955,1278822,1294725,1311208,1327933,1344747,1361551
1,1,1,1,1,1,1,3,5,8,8,8,9,13,14,16,19,23,25,27,29,32,35,41,43,47,52,59,69,75,84,87,93,98,107,117,124,134,143,160,173,183,195,203,211,227,234,235,242,249,258,271,283,297,311,321,335,350,360,369,380,394,406,415,435,447,460,473,484,498,507,521,541,545,565,573,581,600,624,639,651,660,668,687,699,725,741,751,767,790,809,827,842,854,861,879,895,932,949,967,990,1005,1022,1041,1061,1084,1100,1118,1139,1155,1174,1193,1216,1231,1255,1281,1299,1325,1342,1370,1390,1408,1428,1446,1463,1484,1502,1519,1538,1562,1586,1611,1637,1671,1708,1746,1766,1792,1819,1859,1893,1926,1961,1999,2025,2077,2118,2148,2200,2256,2303,2346,2388,2442,2482,2529,2573,2621,2678,2735,2793,2855,2906,2957,2994,3050,3094,3142,3210,3279,3326,3389,3439,3495,3535,3570,3626,3675,3720,3774,3824,3874,3929,3979,4038,4097,4146,4198,4240,4288,4343,4390,4439,4495,4561,4623,4681,4742,4803,4864,4923,5004,5073,5133,5216,5281,5361,5423,5483,5543,5605,5678,5753,5830,5902,5982,6044,6147,6239,6326,6409,6488,6567,6653,6756,6847,6937,7037,7131,7210,7310,7399,7499,7612,7721,7827,7930,8034,8130,8258,8377,8495,8623,8742,8862,8999,9126,9260,9395,9527,9644,9779,9903,10034,10163,10311,10457,10603,10732,10885,11036,11163,11292,11468,11629,11782,11941,12092,12254,12432,12616,12810,12969,13153,13351,13540,13738,13928,14136,14348,14535,14754,14983,15200,15432,15656,15869,16063,16286,16508,16734,17008,17269,17544,17811,18077,18332,18607,18871,19156,19453,19741,20007,20277,20566,20891,21228,21537,21843,22192,22548,22836,23172,23523,23895,24245,24640,25021,25374,25749,26109,26461,26886,27302,27748,28181,28621,29093,29507,29963,30464,31025,31573,32081,32616,33155,33706,34269,34861,35467,36095,36714,37373,37986,38671,39326,40004,40712,41443,42116,42908,43661,44425,45211,45952,46759,47508,48322,49072,49912,50734,51593,52436,53333,54195,55080,55967,56893,57856,58817,59759,60751,61673,62631,63655,64685,65697,66707,67751,68794,69799,70864,71910,73035,74143,75205,76298,77367,78477,79652,80826,82057,83244,84405,85642,86933,88178,89475,90773,92091,93477,94835,96225,97687,99143,100602,102004,103517,105084,106635,108149,109703,111381,112934,114526,116114,117776,119379,121098,122736,124409,126160,127893,129732,131491,133292,135085,136920,138726,140609,142503,144433,146295,148239,150249,152259,154204,156213,158271,160338,162447,164597,166762,168938,171130,173361,175627,177914,180323,182701,185195,187704,190210,192780,195448,198096,200855,203625,206530,209433,212327,215351,218356,221411,224414,227502,230723,233946,237201,240483,243709,247034,250307,253792,257071,260473,263959,267523,271033,274647,278255,281744,285357,289067,292937,296704,300465,304457,308362,312303,316419,320507,324912,329113,333356,337768,342082
1,1,1,4,6,8,10,11,12,16,19,22,28,35,37,41,48,56,67,76,84,93,103,114,122,129,137,148,155,164,173,178,188,192,199,207,211,222,225,230,238,247,252,256,258,267,270,271,276,284,289,293,298,307,309,315,318,320,320,321,324,326,327,328,329,331,331,334,336,339,342,346,348,352,352,353,356,358,358,362,365,367,370,373,378,380,387,392,393,399,402,402,405,408,411,412,416,427,430,436,443,450,459,466,474,482,487,491,502,507,513,522,533,538,543,550,556,562,570,577,583,586,600,605,611,622,631,637,643,650,658,670,678,685,701,714,735,742,756,766,784,802,824,839,854,869,891,908,926,937,958,975,991,1007,1020,1035,1055,1068,1093,1115,1135,1161,1178,1197,1214,1232,1246,1262,1276,1288,1298,1311,1324,1344,1351,1363,1376,1387,1410,1425,1444,1463,1489,1513,1533,1562,1595,1617,1634,1668,1696,1731,1761,1790,1819,1847,1880,1906,1934,1981,2023,2065,2099,2140,2177,2206,2255,2293,2318,2357,2394,2434,2466,2502,2534,2581,2608,2638,2676,2701,2731,2765,2790,2825,2856,2888,2923,2955,2988,3032,3067,3108,3144,3182,3230,3274,3309,3350,3394,3442,3488,3540,3597,3651,3717,3787,3836,3897,3961,4035,4107,4175,4244,4305,4376,4445,4522,4589,4663,4734,4800,4855,4912,4983,5043,5101,5161,5214,5285,5364,5427,5506,5575,5641,5707,5768,5850,5935,6006,6077,6156,6249,6332,6421,6509,6575,6661,6746,6840,6936,7029,7127,7246,7363,7485,7624,7768,7910,8046,8197,8349,8512,8675,8846,9025,9220,9391,9608,9831,10021,10238,10466,10668,10878,11099,11358,11601,11865,12120,12370,12659,12948,13229,13486,13763,14065,14383,14658,14952,15290,15589,15902,16215,16527,16840,17156,17475,17780,18085,18407,18734,19074,19420,19769,20097,20478,20837,21180,21546,21885,22241,22580,22930,23307,23721,24103,24487,24922,25329,25714,26113,26571,26993,27431,27815,28201,28600,29000,29394,29833,30265,30671,31083,31509,31910,32306,32725,33172,33617,34057,34485,34890,35333,35780,36194,36578,37004,37469,37961,38414,38946,39425,39920,40419,40887,41384,41914,42403,42939,43493,44066,44603,45151,45670,46181,46784,47392,47989,48619,49207,49808,50417,51082,51761,52428,53120,53774,54465,55157,55951,56634,57391,58158,58953,59734,60483,61302,62144,62934,63731,64582,65440,66376,67285,68176,69037,69969,70876,71861,72828,73827,74878,75924,77000,78033,79121,80150,81231,82341,83481,84630,85794,87006,88234,89456,90686,91933,93201,94443,95757,97029,98403,99759,101157,102634,104108,105580,107114,108700,110260,111806,113461,115036,116728,118444,120123,121842,123516,125332,127067,128846,130586,132344,134136,136081,137937,139830,141656,143557,145486,147413,149440,151435,153496,155527,157648,159809
1,1,1,1,1,1,1,1,3,5,6,7,12,14,17,19,21,23,23,30,33,37,42,44,46,47,53,55,60,67,77,86,88,92,97,103,107,116,122,126,135,138,144,161,171,177,185,190,197,205,214,229,236,246,259,268,274,289,297,313,321,327,338,346,355,371,386,406,427,451,468,498,521,543,568,603,633,664,697,733,768,815,848,901,952,991,1020,1054,1099,1131,1176,1215,1249,1283,1328,1371,1406,1446,1487,1535,1580,1625,1673,1713,1745,1789,1852,1896,1945,2014,2073,2142,2201,2254,2308,2374,2424,2495,2548,2614,2675,2738,2817,2884,2962,3028,3079,3149,3217,3312,3383,3464,3548,3624,3697,3772,3856,3920,3997,4065,4136,4216,4271,4369,4454,4527,4618,4705,4773,4856,4935,5003,5079,5167,5248,5351,5432,5508,5598,5715,5809,5920,6001,6096,6201,6314,6437,6541,6643,6754,6879,7008,7170,7311,7433,7546,7679,7816,7944,8080,8199,8335,8470,8600,8757,8890,9051,9203,9372,9528,9679,9854,10003,10168,10348,10539,10708,10919,11106,11314,11490,11688,11898,12109,12315,12517,12726,12903,13106,13351,13571,13794,14007,14254,14492,14716,14963,15167,15392,15660,15887,16117,16349,16594,16882,17117,17386,17663,17932,18253,18530,18805,19095,19391,19708,20023,20289,20644,20957,21320,21656,22005,22369,22719,23096,23487,23851,24252,24676,25078,25478,25923,26344,26783,27192,27602,28034,28454,28924,29413,29908,30378,30828,31275,31727,32181,32650,33153,33586,34052,34536,35064,35575,36083,36619,37157,37668,38211,38743,39268,39816,40364,40922,41538,42055,42640,43211,43749,44335,44945,45544,46179,46801,47410,48037,48690,49304,49944,50552,51198,51865,52553,53243,53879,54580,55263,56012,56753,57494,58248,58981,59743,60554,61353,62163,62987,63871,64748,65577,66413,67305,68139,69029,69952,70905,71825,72796,73736,74691,75643,76611,77555,78523,79571,80555,81548,82617,83655,84781,85836,86930,88091,89200,90378,91616,92871,94037,95350,96628,97861,99128,100560,101933,103278,104743,106153,107660,109189,110712,112260,113732,115293,116891,118497,120105,121762,123384,125072,126787,128504,130232,131931,133699,135460,137254,139145,140985,142842,144816,146805,148732,150764,152784,154949,156949,159159,161346,163546,165765,168062,170364,172665,174941,177360,179764,182283,184875,187364,189975,192538,195187,197783,200458,203138,205941,208766,211555,214380,217364,220224,223180,226128,229157,232163,235197,238316,241449,244565,247692,250895,254178,257577,260889,264240,267732,271281,274846,278478,282116,285883,289590,293477,297282,301042,305054,309169,313227,317479,321649,326039,330471,334809,339349,343970,348614,353362,358036,362874,367652,372529,377528,382675,387792,393062,398293,403543,408853,414404,419963,425685,431234,436952,442734,448621,454523,460550,466796,473077,479452,485849,492336,498928,505600,512591,519485,526408,533500,540851,548239,555757,563477,571095,578943,586824,594825,602916,611192,619409,627949,636557,645318,654119,662953,672174,681346,690649,700050
1,1,1,1,1,1,4,7,9,12,13,17,20,24,28,35,40,45,54,60,72,83,90,98,112,121,134,148,154,162,169,182,191,198,208,219,221,228,238,243,252,261,268,274,284,290,293,296,300,306,311,313,318,326,334,339,346,359,362,374,383,395,406,419,423,431,438,447,464,471,481,496,510,524,541,556,569,580,594,605,618,630,642,654,665,681,700,716,724,736,747,756,763,778,788,806,811,821,831,850,862,872,885,896,909,915,927,937,945,953,967,977,1004,1013,1025,1035,1055,1077,1097,1113,1130,1150,1164,1183,1197,1215,1229,1245,1263,1283,1300,1318,1331,1351,1366,1377,1392,1402,1410,1424,1437,1456,1466,1480,1500,1513,1524,1537,1555,1575,1598,1611,1630,1644,1659,1676,1692,1701,1712,1729,1741,1759,1770,1783,1798,1813,1822,1836,1848,1859,1867,1879,1892,1912,1924,1943,1956,1967,1984,1999,2010,2032,2048,2065,2081,2104,2121,2135,2143,2162,2187,2201,2224,2250,2272,2291,2311,2328,2355,2379,2404,2435,2459,2487,2511,2549,2584,2613,2643,2676,2709,2743,2779,2807,2848,2881,2908,2942,2976,2995,3018,3037,3061,3074,3099,3118,3141,3167,3198,3229,3245,3276,3304,3331,3351,3370,3395,3415,3435,3461,3492,3516,3551,3584,3617,3654,3693,3725,3757,3790,3824,3856,3891,3946,3989,4025,4072,4118,4158,4199,4239,4285,4330,4369,4406,4444,4488,4534,4581,4632,4671,4710,4745,4788,4827,4860,4903,4946,4977,5007,5050,5085,5118,5157,5196,5226,5248,5282,5311,5347,5374,5407,5441,5474,5506,5535,5565,5598,5637,5680,5713,5748,5780,5819,5850,5901,5946,5983,6036,6079,6132,6183,6233,6280,6328,6382,6444,6506,6581,6637,6705,6764,6829,6902,6979,7042,7104,7181,7245,7333,7399,7481,7554,7639,7721,7802,7885,7986,8068,8145,8235,8323,8428,8523,8638,8751,8866,8964,9057,9151,9280,9369,9513,9639,9749,9853,9979,10105,10232,10372,10492,10607,10748,10882,10998,11146,11294,11437,11573,11742,11916,12084,12263,12436,12581,12772,12951,13122,13318,13496,13669,13867,14060,14240,14431,14625,14828,15064,15279,15468,15689,15924,16127,16355,16586,16811,17038,17283,17484,17709,17939,18186,18421,18659,18913,19168,19420,19712,19977,20265,20556,20868,21166,21475,21780,22084,22416,22714,23041,23400,23728,24096,24436,24779,25153,25517,25927,26299,26706,27162,27577,28007,28447,28874,29243,29680,30162,30642,31099,31533,32016,32502,32955,33457,33969,34468,35001,35516,36043,36574,37107,37634,38188,38722,39283,39805,40336,40924,41520,42099,42706,43304,43932,44546,45156,45788,46413,47078,47769,48422,49108,49806,50519,51261,52014,52741,53547,54299,55155,55953,56755,57552,58389,59262,60150,60963,61930,62923,63890,64799,65790,66772,67807,68847,69817,70878,71975
1,1,1,1,1,3,4,5,7,10,12,15,16,19,23,26,30,34,38,45,49,54,64,78,93,106,115,118,131,145,153,161,169,181,191,199,206,217,223,229,243,250,253,258,264,268,274,277,280,286,291,293,297,300,305,309,313,315,317,326,331,335,342,347,354,363,368,377,385,388,402,413,430,451,465,487,503,519,544,566,596,617,649,681,709,746,780,820,859,907,960,998,1049,1101,1143,1195,1239,1287,1345,1405,1470,1526,1595,1640,1708,1772,1848,1934,2015,2084,2151,2222,2310,2394,2492,2566,2651,2741,2851,2936,3027,3119,3209,3297,3395,3498,3609,3719,3836,3944,4049,4155,4249,4363,4472,4580,4695,4815,4930,5033,5155,5300,5439,5574,5705,5868,6018,6139,6291,6457,6626,6773,6952,7121,7290,7470,7651,7844,8074,8282,8477,8691,8879,9081,9289,9508,9712,9929,10170,10396,10625,10915,11157,11408,11643,11914,12209,12499,12778,13070,13383,13688,13980,14335,14665,14981,15337,15698,16042,16437,16809,17226,17619,18030,18436,18873,19314,19765,20211,20664,21178,21682,22190,22716,23254,23727,24254,24798,25365,25951,26552,27131,27718,28306,28934,29559,30219,30893,31531,32214,32889,33551,34249,34900,35582,36241,36936,37630,38344,39101,39876,40632,41395,42139,42937,43729,44497,45342,46180,46988,47772,48639,49465,50386,51253,52160,53097,54061,55006,55999,57014,58013,58960,59983,61028,62098,63088,64119,65170,66230,67349,68473,69612,70760,71885,73098,74267,75579,76909,78096,79458,80805,82048,83372,84733,86146,87527,88935,90374,91792,93277,94765,96315,97845,99349,100943,102547,104129,105774,107364,109023,110711,112449,114232,116042,117763,119577,121433,123255,125060,127089,128988,130972,133021,135052,136973,138980,141003,143062,145181,147279,149470,151583,153813,155978,158273,160691,163015,165443,167865,170366,172834,175399,178057,180689,183324,185932,188547,191262,193970,196762,199602,202444,205344,208139,210999,213892,216820,219774,222833,225859,228997,232146,235332,238494,241793,245109,248518,251953,255415,259068,262691,266314,270029,273763,277478,281376,285380,289341,293207,297181,301262,305404,309544,313751,317982,322211,326546,330879,335267,339822,344392,349029,353466,358135,362732,367439,372220,376982,381786,386591,391502,396600,401621,406660,411748,416960,422174,427466,432720,438274,443657,449011,454516,460014,465847,471692,477601,483547,489597,495669,501663,507807,514037,520397,526819,533472,540118,546657,553457,560243,567109,573940,581005,588271,595592,602752,610264,617734,625361,633115,641150,648910,656892,664778,672770,680937,689236,697605,706084,714796,723682,732498,741595,750518,759607,768783,778219,787735,797355,807129,816899,826852,836858,847116,857523,868087,878802,889443,900385,911416,922764,934202,945816,957499,969430,981432,993469,1005739,1018247,1030853,1043612,1056367,1069254,1082449,1095786,1109178,1122642,1136481,1150375,1164427,1178984,1193472,1207983,1222772,1237778,1252764,1268069,1283464,1298818,1314765,1330779,1346979,1363263,1379487,1396125,1412943,1430208,1447522,1464889,1482723,1500521,1518473,1536823,1555058,1573789,1592323
1,1,2,2,4,10,11,12,12,15,16,19,23,27,32,38,40,47,50,55,61,70,74,77,90,101,109,117,131,138,150,158,166,173,180,183,191,205,210,222,229,240,251,259,265,270,277,285,289,293,303,311,320,332,343,350,362,375,388,398,410,433,443,467,485,502,518,531,553,566,581,609,646,675,702,730,761,781,809,838,864,886,914,936,963,996,1033,1068,1098,1128,1166,1198,1233,1259,1285,1322,1352,1391,1422,1458,1494,1525,1556,1594,1629,1666,1701,1743,1783,1825,1860,1899,1951,1993,2037,2074,2107,2141,2193,2234,2275,2319,2375,2420,2454,2500,2565,2624,2679,2734,2791,2847,2929,3000,3066,3126,3202,3273,3362,3441,3519,3600,3659,3767,3870,3934,4005,4097,4194,4292,4392,4493,4592,4689,4797,4904,4999,5115,5217,5320,5426,5537,5676,5810,5935,6058,6192,6318,6466,6598,6736,6874,7012,7164,7322,7492,7641,7821,7998,8189,8373,8568,8768,8987,9203,9427,9640,9847,10073,10300,10576,10845,11114,11317,11571,11851,12118,12431,12729,13021,13306,13610,13932,14221,14528,14838,15152,15467,15779,16090,16379,16695,17033,17345,17690,18026,18369,18720,19088,19390,19748,20117,20447,20812,21153,21531,21917,22287,22685,23062,23462,23878,24263,24718,25141,25551,26007,26433,26893,27329,27792,28284,28769,29257,29777,30280,30858,31430,31999,32505,33122,33725,34383,35031,35675,36363,37052,37719,38377,39082,39804,40555,41251,41988,42692,43427,44096,44849,45593,46363,47147,47893,48682,49468,50246,51092,51860,52701,53514,54371,55233,56097,56969,57866,58815,59771,60799,61796,62770,63793,64782,65793,66936,67970,69040,70077,71202,72336,73480,74626,75803,76985,78074,79290,80585,81817,83060,84265,85528,86782,88109,89472,90734,92014,93436,94816,96180,97514,98968,100534,102039,103622,105132,106780,108378,110004,111645,113276,114985,116721,118493,120312,122207,124087,126049,128100,130116,132098,134248,136347,138393,140573,142737,144897,147128,149393,151715,154040,156396,158759,161155,163572,166039,168515,170905,173472,176012,178597,181297,183931,186701,189441,192302,195164,198115,201129,204227,207228,210394,213601,216787,220015,223503,226728,230126,233609,237057,240595,244189,247773,251485,255224,258938,262756,266683,270590,274519,278408,282526,286497,290555,294702,298956,303174,307594,311972,316478,321089,325769,330377,335131,339939,344902,349838,354841,359957,365323,370761,376106,381679,387321,393199,399103,405070,411060,417103,423159,429514,435674,442046,448440,454962,461434,467954,474643,481313,488128,495148,502198,509316,516518,523768,531211,538790,546453,554127,561870,569825,577850,586088,594226,602644,611233,619840,628521,637352,646334,655475,664604,674137,683739,693356,702931,712727,722777,732986,743316,753790,764314,774891,785699,796691,807782,818947,830303,841913,853426,865123,877054,889007,901291,913487,925640,937907,950427,963167,976055,988990,1002424,1015802,1029395,1043128,1057044,1071131,1085259,1099744,1114291,1128866,1143665,1158587,1173724,1188894,1204259,1219744,1235218,1251105,1266960
1,1,1,1,1,1,1,3,4,4,4,4,4,4,7,7,7,7,7,7,11,11,11,12,13,17,17,19,21,24,25,25,26,30,34,38,41,43,51,58,66,70,78,88,97,108,114,119,129,136,152,161,178,190,202,220,235,248,269,276,289,304,318,333,347,371,385,401,415,432,448,465,481,492,506,524,538,554,568,586,602,614,634,650,670,686,709,719,740,769,787,809,836,864,882,906,926,958,976,999,1016,1030,1047,1072,1101,1127,1155,1180,1214,1254,1286,1325,1352,1384,1414,1449,1483,1535,1586,1626,1669,1721,1765,1813,1866,1919,1969,2027,2065,2121,2164,2220,2265,2302,2347,2406,2465,2516,2583,2631,2692,2753,2812,2868,2928,2979,3057,3137,3211,3283,3361,3456,3541,3632,3728,3838,3950,4038,4139,4229,4346,4455,4567,4673,4793,4902,5000,5120,5231,5366,5497,5632,5763,5903,6039,6172,6296,6441,6578,6707,6847,6964,7112,7261,7424,7582,7761,7909,8100,8271,8417,8588,8750,8925,9088,9253,9420,9606,9779,9955,10127,10318,10515,10724,10921,11107,11305,11513,11731,11933,12132,12320,12531,12757,12975,13199,13416,13635,13863,14096,14314,14540,14761,14969,15236,15478,15725,15951,16199,16439,16704,16976,17248,17528,17812,18066,18336,18612,18897,19155,19472,19758,20097,20405,20698,21011,21318,21636,21951,22283,22577,22902,23202,23480,23794,24097,24375,24665,24959,25270,25566,25850,26167,26497,26812,27170,27511,27844,28242,28570,28907,29262,29621,30003,30372,30733,31155,31581,32010,32444,32860,33297,33740,34220,34639,35098,35529,35984,36444,36924,37382,37866,38325,38809,39270,39751,40222,40721,41256,41759,42250,42772,43298,43830,44379,44910,45458,46001,46535,47081,47682,48265,48838,49439,50038,50596,51148,51727,52307,52927,53548,54153,54811,55466,56128,56784,57484,58156,58848,59530,60261,60989,61707,62457,63256,63972,64706,65432,66223,67040,67830,68611,69401,70247,71188,72064,72907,73749,74562,75453,76363,77224,78164,79137,80097,81175,82197,83246,84296,85359,86404,87478,88532,89684,90772,91955,93151,94403,95662,96968,98223,99555,100869,102212,103657,105074,106483,107951,109395,110856,112293,113834,115297,116874,118436,119982,121643,123418,125158,126877,128639,130467,132311,134162,136068,138007,139945,142008,144053,146230,148274,150410,152637,154858,157119,159314,161640,164009,166527,169004,171429,173936,176506,179236,181884,184611,187385,190179,193011,195877,198701,201568,204416,207393,210436,213514,216515,219579,222742,225953,229167,232451,235729,239040,242338,245724,249082,252621,256099,259606,263200,266759,270409,274082,277784,281466,285273,289094,293033,296885,300835,304949,309224,313368,317543,321874,326272,330676,335192,339700,344252,348917,353565,358277,363023,367811,372757,377693,382845,387897,393063,398353,403687,409122,414679,420367,426118,431840,437669,443440,449356,455375,461542,467927,474282,480826,487253,493870,500397,507136,513666,520244,527186,534159,541197,548232,555327
1,1,2,2,6,11,13,15,17,21,25,30,40,48,57,70,81,93,111,124,139,152,176,189,203,217,235,261,291,317,337,364,385,412,442,461,484,504,533,558,584,615,645,673,699,732,749,775,802,826,857,883,903,929,957,989,1023,1050,1087,1111,1134,1167,1200,1232,1270,1309,1345,1374,1418,1467,1514,1559,1603,1657,1707,1742,1792,1841,1894,1948,1997,2048,2094,2136,2181,2240,2289,2355,2413,2466,2521,2571,2645,2697,2759,2852,2937,3003,3065,3136,3224,3320,3403,3493,3587,3674,3759,3862,3962,4039,4124,4205,4315,4395,4492,4602,4691,4780,4884,4983,5073,5171,5271,5349,5428,5508,5632,5737,5841,5974,6066,6173,6289,6413,6530,6654,6776,6916,7053,7177,7302,7455,7589,7728,7868,8020,8171,8330,8459,8595,8729,8892,9060,9232,9394,9564,9738,9921,10105,10267,10428,10609,10803,11008,11217,11400,11617,11838,12022,12234,12451,12680,12884,13103,13315,13516,13720,13951,14164,14401,14647,14897,15141,15391,15638,15900,16109,16377,16651,16901,17138,17401,17681,17925,18155,18428,18705,18985,19242,19534,19788,20071,20335,20603,20857,21144,21451,21744,22034,22339,22614,22920,23228,23528,23826,24089,24404,24715,25035,25379,25665,25999,26330,26693,27077,27434,27798,28175,28532,28897,29264,29648,30026,30374,30793,31173,31564,31974,32385,32837,33222,33591,33996,34435,34880,35302,35781,36248,36698,37177,37667,38145,38680,39168,39694,40205,40755,41301,41820,42413,43005,43559,44111,44702,45299,45865,46474,47088,47719,48381,49028,49671,50300,50963,51647,52319,53034,53729,54446,55196,55928,56684,57409,58198,58974,59725,60459,61188,61951,62756,63531,64343,65171,66043,66880,67696,68536,69348,70213,71107,71976,72881,73800,74663,75479,76350,77223,78115,79018,79933,80860,81768,82663,83585,84562,85481,86492,87444,88468,89484,90528,91511,92567,93589,94676,95808,96912,97977,99125,100253,101471,102617,103817,104976,106146,107404,108674,109868,111121,112469,113733,114979,116244,117586,118922,120239,121606,122954,124256,125625,126901,128260,129720,131217,132678,134160,135617,137091,138647,140197,141730,143298,144843,146510,148154,149737,151406,153037,154701,156495,158316,160087,161888,163757,165587,167447,169231,171138,172987,174863,176764,178711,180719,182681,184678,186729,188789,190845,192926,194967,197083,199160,201356,203556,205727,207943,210250,212545,214983,217353,219698,222112,224586,227094,229672,232181,234852,237509,240179,242949,245652,248375,251132,253897,256815,259743,262760,265754,268807,271942,275090,278204,281486,284744,288038,291452,294908,298384,301918,305485,309150,312751,316508,320145,323936,327820,331653,335551,339452,343444,347512,351618,355705,359883,363999,368156,372317,376475,380651,385017,389281,393703,398216,402719,407176,411764,416387,421042,425815,430296,435139,439904,444808,449856,454728,459738,464976,470105,475505,480991,486357,491897,497541,503059,508816,514677,520727,526697,532843,539054,545253,551847,558395,565004,571695,578600,585559,592641,599840,607135,614480,621984,629736,637475,645236,653103,661191
1,1,1,1,1,1,1,1,1,2,3,5,5,5,6,7,12,15,19,23,25,28,29,30,32,34,41,46,52,57,64,70,75,88,92,101,108,111,123,135,143,156,179,188,196,209,219,237,248,270,287,302,319,333,350,378,400,417,432,453,483,509,546,566,587,608,628,653,681,708,730,764,789,818,842,884,917,952,987,1018,1061,1098,1125,1168,1223,1268,1311,1364,1407,1455,1493,1532,1593,1639,1693,1741,1803,1866,1940,1999,2070,2135,2227,2314,2399,2482,2563,2645,2730,2830,2922,3039,3168,3269,3382,3510,3630,3774,3899,4044,4174,4338,4505,4637,4796,4937,5106,5293,5437,5590,5756,5934,6120,6285,6458,6641,6830,7028,7221,7420,7628,7834,8027,8249,8461,8672,8881,9110,9338,9562,9802,10072,10357,10600,10842,11126,11427,11688,11961,12252,12549,12855,13155,13454,13729,14057,14384,14724,15079,15383,15695,15995,16333,16706,17021,17376,17721,18077,18456,18845,19213,19601,19994,20392,20794,21191,21652,22124,22539,22993,23472,23939,24439,24932,25427,25923,26390,26899,27390,27860,28392,28947,29476,30006,30574,31092,31667,32203,32790,33388,34048,34668,35256,35870,36554,37239,37922,38620,39245,39940,40616,41368,42056,42724,43462,44212,44980,45730,46486,47326,48197,49060,49907,50810,51767,52644,53610,54539,55561,56535,57546,58559,59574,60613,61787,62921,64039,65213,66434,67698,68879,70194,71459,72689,73929,75200,76513,77893,79301,80643,81982,83436,84836,86281,87732,89219,90702,92125,93652,95260,96891,98498,100173,101882,103575,105336,107073,108924,110664,112525,114396,116290,118228,120248,122260,124262,126235,128367,130502,132727,134964,137269,139553,141905,144195,146520,148901,151329,153697,156178,158514,161034,163558,166122,168756,171356,173942,176719,179525,182385,185296,188127,191081,194208,197362,200445,203594,206801,209933,213213,216616,220063,223520,227046,230599,234123,237685,241326,245008,248629,252254,256098,259963,263657,267638,271425,275269,279302,283385,287521,291784,296076,300415,304710,309170,313747,318346,323071,327805,332634,337581,342656,347793,353097,358451,363702,369136,374641,380134,385703,391366,397141,403105,409005,414898,420832,426878,432939,439238,445517,451867,458522,465023,471584,478210,484757,491631,498569,505452,512395,519489,526533,533869,541322,548628,556112,563507,571209,578874,586815,594822,602930,610971,619323,627824,636312,645045,653615,662595,671618,680577,689826,699321,708936,718795,728655,738592,748585,758746,768975,779421,790236,800877,811885,822969,834490,845777,857407,869089,880916,892972,905064,917549,929874,942374,954832,967565,980220,993419,1006715,1020172,1033722,1047237,1061160,1074880,1089026,1103220,1117729,1132241,1146971,1161996,1176892,1192255,1207741,1223343,1239004,1254888,1271023,1287289,1303948,1320540,1337357,1354423,1371478,1388820,1406335,1423921,1441579,1459696,1478093,1496522,1515042,1533784,1552478,1571779,1591131,1610579,1630067,1649927,1670018,1690297,1711005,1731909,1752894,1773628,1794818,1816518,1838207,1860064,1882349,1904954,1927787,1950742,1973944,1997416,2021059,2045353,2069457,2094226,2119195,2144341,2169941,2195484,2221152,2247310,2273332,2299784
1,1,1,2,2,2,2,5,6,10,11,11,11,12,16,18,20,21,25,25,30,34,41,46,55,59,67,77,95,105,115,123,135,149,160,174,187,198,209,220,231,241,262,275,294,308,320,335,353,367,378,396,413,434,454,473,502,534,565,592,615,641,667,688,728,754,785,826,858,891,914,957,989,1017,1054,1083,1106,1133,1164,1192,1223,1265,1309,1355,1398,1429,1465,1510,1542,1583,1625,1667,1702,1746,1798,1843,1898,1930,1977,2022,2064,2121,2177,2222,2261,2314,2368,2418,2468,2513,2556,2618,2676,2716,2774,2838,2903,2977,3036,3111,3193,3287,3354,3432,3510,3621,3715,3802,3906,3988,4074,4174,4266,4356,4465,4566,4675,4793,4896,4988,5092,5205,5316,5435,5521,5647,5773,5895,6026,6159,6292,6412,6546,6676,6795,6914,7057,7194,7332,7469,7615,7798,7951,8107,8261,8429,8583,8733,8902,9055,9192,9370,9560,9734,9906,10083,10244,10423,10595,10771,10939,11120,11288,11478,11682,11857,12042,12247,12434,12643,12843,13031,13248,13456,13653,13856,14048,14257,14474,14702,14952,15178,15414,15635,15889,16140,16410,16658,16922,17202,17470,17747,18051,18325,18586,18891,19204,19533,19826,20157,20486,20802,21148,21507,21849,22208,22588,22944,23327,23692,24097,24478,24912,25313,25667,26105,26539,26994,27463,27901,28357,28800,29257,29723,30206,30682,31158,31635,32142,32666,33204,33716,34279,34799,35316,35890,36472,37043,37596,38177,38693,39263,39857,40456,41076,41646,42198,42824,43428,44081,44694,45335,45987,46633,47241,47911,48548,49215,49903,50652,51334,52008,52762,53504,54240,55027,55766,56523,57255,58077,58844,59626,60434,61263,62085,62910,63740,64608,65438,66307,67178,68027,68918,69789,70595,71474,72413,73307,74287,75232,76198,77167,78188,79174,80158,81194,82167,83230,84302,85446,86481,87606,88720,89879,91064,92258,93424,94647,95901,97152,98351,99637,100916,102249,103596,104969,106404,107878,109305,110726,112227,113723,115253,116732,118171,119749,121290,122841,124410,125977,127544,129198,130852,132534,134267,135961,137708,139474,141240,143087,144931,146756,148647,150573,152470,154421,156410,158467,160521,162629,164763,166879,169131,171346,173576,175874,178236,180675,183096,185544,188034,190551,193137,195763,198424,201078,203848,206663,209470,212350,215268,218269,221305,224298,227311,230325,233460,236579,239730,242970,246078,249507,252877,256243,259653,263105,266664,270120,273717,277359,280998,284676,288398,292130,296106,300062,304112,308052,312081,316008,320158,324288,328534,332875,337219,341665,346169,350661,355344,359983,364722,369585,374500,379524,384509,389597,394841,400029,405478,410876,416333,421916,427479,433182,438843,444738,450761,456713,462740,468860,475074,481256,487624,494100,500621,507292,513914,520660,527398,534357,541231,548451,555674,563094,570518,578077,585608,593374,601231,609170,617142,625448,633620,642096,650463,659157,667906,676767,685477,694643,703814,713257,722714,732274,741858,751715,761443,771646,781821,792061,802595,813269,823795,834789,845793,857029,868156
1,1,1,1,1,1,1,2,2,2,3,4,5,6,7,8,9,9,11,11,13,14,16,19,23,27,30,34,41,48,52,61,69,76,84,95,102,110,116,125,131,146,156,171,181,196,201,206,212,222,231,237,243,250,257,264,269,274,282,288,291,295,301,313,323,333,342,354,359,377,388,401,416,426,442,453,468,486,507,526,556,577,600,624,642,672,698,724,749,788,824,869,907,945,976,1010,1054,1098,1137,1175,1214,1254,1301,1345,1390,1440,1475,1509,1543,1593,1648,1695,1733,1773,1819,1878,1930,1998,2052,2111,2170,2232,2293,2360,2418,2467,2540,2626,2703,2777,2848,2932,3022,3082,3176,3268,3366,3456,3555,3629,3739,3841,3952,4064,4163,4267,4364,4455,4547,4657,4769,4869,5002,5127,5239,5337,5451,5576,5694,5819,5952,6082,6195,6332,6481,6614,6740,6898,7044,7203,7361,7544,7710,7873,8029,8207,8376,8571,8775,8968,9154,9334,9529,9716,9910,10133,10344,10572,10816,11085,11323,11544,11805,12028,12298,12537,12792,13089,13360,13634,13930,14187,14500,14757,15061,15331,15599,15877,16190,16516,16854,17193,17507,17852,18173,18517,18864,19201,19559,19926,20280,20663,21012,21396,21741,22106,22523,22922,23350,23795,24233,24664,25103,25584,26071,26579,27053,27511,27964,28485,29021,29528,30085,30628,31189,31796,32384,32997,33565,34146,34768,35420,36046,36612,37227,37871,38530,39226,39930,40638,41373,42082,42793,43528,44247,44992,45704,46488,47276,48059,48842,49598,50356,51210,52028,52835,53695,54559,55438,56364,57244,58153,59065,60059,61033,61961,62961,63945,64978,65951,67007,67988,69059,70117,71182,72226,73340,74517,75589,76676,77763,78877,80044,81243,82477,83700,84924,86137,87443,88750,90015,91323,92619,94053,95473,96869,98354,99805,101280,102789,104224,105753,107345,108948,110536,112202,113876,115553,117209,118888,120655,122424,124105,125905,127700,129523,131335,133196,134997,136857,138750,140728,142732,144710,146725,148773,150770,152882,155020,157256,159494,161747,163980,166289,168691,171186,173581,176010,178568,181110,183685,186271,188859,191551,194215,197045,199838,202665,205699,208610,211569,214669,217820,220965,224139,227349,230530,233759,236948,240329,243725,247203,250625,254272,257946,261583,265270,269002,272756,276704,280615,284545,288479,292371,296408,300680,304857,309095,313411,317809,322072,326578,331053,335525,340261,344968,349769,354597,359577,364567,369643,374786,379971,385223,390670,395991,401492,407086,412788,418361,424203,430105,436001,442015,448263,454513,460832,467317,473733,480191,486794,493529,500157,507042,513995,521137,528246,535469,542839,550434,557947,565521,573360,581172,588953,597097,605212,613493,621945,630315,638947,647560,656290,665191,674257,683429,692614,702033,711497,721135,730963,741082,750922,760934,771029,781093,791389,801809,812222,822948,833748,844743,855739,867104,878424,890077,901988,913573,925514,937723,950191,962543,975149,987796,1000803,1013833,1027326,1040690,1054201,1067772,1081604,1095544,1109613,1124173,1138844,1153589,1168618
1,1,1,1,1,2,4,6,10,14,16,19,22,23,29,34,42,50,58,64,78,91,101,115,126,143,158,171,183,200,212,228,242,254,271,291,312,331,350,382,414,438,458,479,509,534,561,581,605,631,660,690,724,764,790,807,831,858,906,932,963,998,1027,1055,1078,1107,1130,1155,1185,1205,1237,1271,1299,1334,1380,1415,1453,1494,1538,1584,1631,1675,1729,1774,1822,1872,1923,1962,2024,2081,2141,2196,2257,2321,2384,2448,2516,2574,2644,2697,2776,2856,2923,3002,3078,3149,3238,3319,3411,3494,3570,3678,3779,3881,3984,4083,4181,4297,4409,4536,4662,4781,4915,5045,5179,5309,5433,5596,5744,5876,6025,6167,6311,6455,6619,6782,6948,7088,7261,7431,7605,7772,7955,8119,8301,8496,8659,8848,9033,9219,9413,9609,9789,9991,10197,10396,10602,10820,11026,11246,11425,11661,11882,12078,12315,12562,12794,13025,13281,13517,13778,14021,14292,14536,14776,15017,15252,15496,15774,16053,16315,16576,16826,17107,17404,17659,17918,18163,18434,18702,18988,19298,19613,19888,20196,20486,20797,21133,21491,21845,22201,22550,22872,23252,23639,24063,24452,24824,25233,25658,26084,26479,26941,27417,27895,28354,28839,29333,29814,30355,30891,31392,31976,32515,33064,33598,34160,34737,35332,35901,36525,37122,37744,38367,39013,39613,40209,40877,41519,42182,42814,43481,44189,44899,45553,46159,46840,47524,48209,48916,49628,50374,51095,51823,52585,53317,54085,54826,55599,56328,57089,57867,58655,59407,60199,61055,61889,62691,63557,64383,65277,66149,67021,67905,68924,69892,70829,71829,72868,73915,74963,76072,77211,78260,79397,80588,81793,83002,84205,85467,86761,88013,89299,90641,91951,93245,94591,95996,97334,98799,100222,101732,103236,104699,106258,107842,109451,110963,112472,114150,115797,117456,119166,120906,122616,124470,126262,128116,129916,131808,133702,135659,137560,139531,141519,143524,145639,147671,149722,151865,154081,156291,158469,160732,163038,165297,167686,170125,172543,175044,177471,180051,182661,185372,188096,190849,193649,196484,199268,202121,205048,208009,210919,213969,217043,220185,223323,226466,229543,232790,236121,239487,242672,245992,249328,252750,256370,259840,263377,267023,270510,274098,277897,281667,285437,289297,293190,297152,301022,305060,309150,313314,317516,321822,326254,330675,335198,339840,344435,349289,354216,359230,364347,369336,374552,380017,385379,390908,396425,401998,407772,413552,419490,425429,431449,437612,443739,450040,456414,462864,469295,475873,482352,489098,495941,502843,509959,517103,524393,531746,539180,546686,554428,561973,569694,577494,585518,593448,601496,609744,618064,626426,634900,643591,652172,660798,669660,678567,687537,696435,705677,714896,724361,733801,743244,752965,762806,772702,782639,792625,802788,813102,823340,833737,844416,855305,865940,877098,888097,899402,910607,922223,933873,945431,957286,969365,981476,993859,1006327,1018787,1031474,1044190,1057194,1070230,1083550,1097204,1110886,1124616,1138322,1152182,1166477,1180888,1195617,1210359,1225282,1240394,1255555,1270801,1286709,1302613,1318655,1334784,1351098,1367716,1384309,1401187,1418311
1,1,1,1,1,1,1,2,2,3,4,6,6,7,11,17,20,21,21,23,24,26,29,31,38,47,58,64,68,75,80,89,95,106,116,121,132,141,154,162,171,177,186,191,199,207,215,224,228,233,240,243,245,251,256,262,265,266,271,273,276,281,294,300,306,312,316,322,335,338,349,362,374,379,391,398,410,416,422,433,440,449,460,473,479,487,501,513,519,527,534,538,544,550,555,563,570,575,580,587,590,595,603,610,617,627,630,636,649,658,664,680,687,700,707,722,734,745,758,768,779,797,810,828,841,859,881,904,923,941,958,973,990,1009,1027,1041,1059,1075,1095,1112,1127,1139,1153,1176,1196,1210,1224,1239,1263,1276,1292,1308,1318,1346,1370,1393,1413,1438,1452,1470,1497,1517,1546,1570,1614,1647,1683,1716,1751,1785,1821,1856,1889,1920,1966,2015,2062,2110,2162,2211,2267,2319,2373,2440,2499,2562,2616,2682,2729,2782,2847,2911,2979,3046,3129,3192,3267,3332,3410,3483,3562,3646,3727,3787,3859,3927,4007,4075,4157,4243,4341,4446,4523,4619,4718,4804,4901,5000,5095,5182,5293,5398,5495,5600,5712,5851,5989,6103,6241,6375,6499,6642,6776,6917,7087,7228,7368,7509,7662,7800,7951,8103,8258,8400,8565,8733,8897,9051,9192,9387,9533,9691,9861,10032,10173,10332,10492,10681,10873,11039,11215,11379,11547,11731,11931,12128,12354,12522,12736,12914,13120,13324,13548,13764,13958,14185,14383,14594,14820,15021,15262,15484,15709,15919,16138,16356,16588,16797,17019,17271,17522,17760,17994,18249,18514,18822,19093,19360,19670,19953,20267,20577,20879,21190,21513,21871,22203,22538,22924,23258,23646,24045,24397,24780,25178,25602,26003,26399,26827,27279,27690,28141,28615,29114,29591,30062,30534,31058,31544,32093,32601,33133,33678,34195,34759,35298,35829,36392,37033,37607,38196,38774,39390,39939,40516,41146,41776,42414,43065,43781,44472,45143,45799,46510,47192,47872,48579,49290,50052,50762,51485,52226,52972,53740,54507,55260,56075,56834,57613,58356,59158,59916,60765,61600,62492,63378,64246,65194,66118,67059,68006,68947,69920,70926,71939,72989,74005,75048,76081,77206,78266,79372,80486,81652,82816,84022,85252,86522,87762,89057,90416,91805,93171,94606,96008,97447,98902,100345,101831,103357,104849,106454,108066,109648,111374,113123,114783,116529,118214,119984,121794,123601,125438,127275,129094,130954,132798,134753,136668,138579,140596,142574,144598,146612,148685,150779,152878,155128,157340,159601,161932,164317,166616,169043,171484,173997,176521,178937,181502,184139,186838,189517,192254,194996,197752,200567,203498,206369,209312,212251,215306,218442,221465,224552,227637,230701,233881,237134,240467,243834,247157,250485,253869,257390,261063,264727,268339,272070,275913,279717,283580,287499,291398,295574,299569,303809,308040,312399,316750,321045,325569,330034,334742,339324,344081,348705,353495
1,1,1,1,3,4,5,5,7,7,8,10,12,13,13,16,20,26,32,37,44,54,66,74,80,88,94,109,117,129,139,150,169,189,203,219,240,258,275,292,307,327,350,373,397,419,438,452,470,496,524,549,575,597,629,649,673,697,723,752,786,819,852,878,912,953,987,1040,1071,1120,1167,1203,1266,1317,1369,1423,1472,1507,1548,1602,1655,1703,1764,1822,1882,1932,1993,2032,2103,2167,2234,2286,2348,2405,2468,2551,2621,2688,2762,2834,2897,2964,3065,3147,3238,3319,3412,3496,3584,3682,3779,3869,3972,4079,4175,4273,4391,4515,4648,4767,4863,4983,5087,5205,5346,5464,5596,5723,5845,5985,6124,6269,6412,6534,6668,6789,6922,7076,7240,7401,7529,7666,7806,7967,8119,8300,8476,8648,8810,8989,9175,9374,9558,9779,9980,10201,10399,10585,10807,11024,11256,11544,11813,12057,12308,12567,12801,13100,13366,13678,13969,14288,14621,14926,15246,15553,15875,16196,16545,16869,17223,17551,17905,18250,18578,18925,19310,19710,20061,20458,20845,21211,21586,21955,22349,22726,23132,23542,23923,24323,24735,25209,25686,26177,26615,27096,27582,28120,28614,29158,29708,30248,30856,31412,31977,32564,33180,33777,34391,35057,35696,36446,37080,37774,38453,39172,39911,40612,41342,42107,42836,43598,44412,45207,46020,46774,47578,48400,49247,50067,50886,51770,52676,53560,54495,55427,56400,57399,58410,59389,60381,61445,62487,63586,64648,65746,66871,67996,69110,70219,71370,72585,73737,74887,76085,77340,78552,79783,81026,82317,83484,84753,86029,87304,88532,89889,91277,92596,93947,95387,96827,98252,99646,101121,102604,104110,105626,107154,108734,110368,111992,113664,115389,117101,118891,120677,122461,124253,126078,127861,129735,131624,133540,135518,137540,139594,141653,143767,145802,147826,149975,152108,154276,156503,158694,160850,163093,165436,167857,170121,172566,174866,177359,179850,182227,184765,187364,189957,192495,195078,197739,200402,203180,205885,208617,211382,214160,216971,219754,222634,225557,228500,231514,234497,237634,240772,243915,247080,250351,253544,256832,260152,263545,266836,270354,273808,277288,280828,284486,288141,291781,295553,299329,303141,307063,311013,315010,319020,322986,326920,330964,335085,339282,343513,348007,352552,357032,361579,366273,371035,375787,380543,385493,390342,395371,400489,405784,411121,416416,421792,427318,432857,438401,444162,450117,455993,462055,468248,474460,480728,487116,493622,500075,506724,513488,520181,527073,534188,541322,548448,555692,563054,570502,578142,585683,593644,601614,609675,617865,626202,634622,643280,651802,660301,669077,677760,686772,695781,705110,714378,723751,733405,743122,752956,762832,772976,783241,793822,804251,815091,825738,836639,847653,858738,870077,881408,893048,904791,916717,928785,940699,952853,965093,977448,989820,1002448,1015303,1028269,1041329,1054528,1067856,1081295,1095136,1108948,1123043,1137324,1151735,1166226,1180946,1195789,1210938,1226236,1241995,1257689,1273644,1289809,1306295,1322965,1340079,1356891,1374157,1391565,1409417,1427618,1445826,1464316,1482980,1501612,1520386,1539117,1558452,1577830,1597236,1617034,1636812,1656933,1677171
1,1,1,5,6,7,8,10,12,13,13,14,17,21,25,27,29,32,34,45,49,55,65,73,82,90,99,107,120,128,142,151,161,172,181,193,208,227,233,246,259,271,286,302,320,331,345,361,377,397,415,432,453,474,499,520,548,566,592,620,635,654,678,706,733,758,783,813,845,874,908,954,992,1018,1053,1089,1141,1182,1230,1271,1315,1367,1399,1435,1475,1528,1581,1623,1668,1723,1776,1817,1861,1918,1988,2045,2106,2166,2240,2293,2340,2413,2480,2555,2637,2718,2808,2891,2975,3050,3143,3229,3303,3394,3491,3588,3658,3757,3849,3952,4048,4174,4264,4352,4452,4551,4642,4731,4832,4934,5051,5159,5271,5378,5464,5582,5706,5814,5938,6072,6207,6333,6466,6581,6710,6826,6961,7084,7220,7365,7494,7623,7747,7884,8015,8147,8301,8445,8608,8754,8912,9066,9244,9418,9580,9770,9961,10141,10329,10543,10774,10989,11216,11455,11682,11926,12208,12505,12773,13041,13287,13533,13797,14068,14377,14662,14971,15281,15593,15944,16267,16603,16983,17367,17768,18129,18528,18948,19366,19795,20192,20601,21018,21428,21889,22368,22794,23204,23624,24060,24501,24934,25414,25882,26287,26746,27244,27724,28215,28678,29165,29652,30207,30693,31213,31731,32246,32786,33322,33936,34514,35112,35724,36320,36948,37595,38231,38861,39568,40244,40930,41638,42371,43078,43791,44560,45297,46016,46771,47519,48288,49100,49856,50681,51530,52364,53200,54093,54952,55828,56777,57679,58621,59539,60484,61428,62347,63275,64312,65342,66358,67367,68398,69450,70441,71473,72550,73566,74642,75730,76879,78066,79269,80423,81695,82960,84186,85428,86712,88025,89376,90721,92097,93495,94916,96343,97777,99256,100650,102190,103691,105209,106727,108278,109886,111502,113133,114803,116516,118185,119980,121654,123406,125132,126933,128712,130603,132417,134266,136197,138125,140074,141982,143968,145969,148030,150169,152132,154215,156301,158450,160651,162771,165048,167235,169535,171908,174318,176806,179220,181674,184100,186655,189285,191969,194554,197301,200007,202813,205703,208558,211376,214343,217491,220585,223663,226778,229866,233133,236349,239546,242834,246134,249533,253016,256483,259936,263500,267102,270731,274299,277929,281601,285332,289185,293032,296778,300650,304543,308627,312622,316746,320993,325265,329559,333992,338348,342933,347502,351959,356672,361475,366172,371073,375902,380990,386170,391318,396511,401811,407097,412517,418049,423647,429377,435007,440641,446397,452286,458254,464286,470342,476590,482827,489082,495433,501932,508336,514938,521395,528192,535026,541915,548785,555985,563101,570525,577946,585499,593037,600723,608584,616562,624513,632695,641064,649689,658282,667125,675989,685058,694093,703154,712383,721819,731282,740780,750521,760583,770522,780563,790775,801040,811372,821955,832703,843682,854701,865795,876901,888205,899727,911338,922997,935032,946896,959144,971590,984183,996812,1009650,1022599,1035855,1049047,1062583,1076461,1090516,1104558,1118676,1133098,1147789,1162857,1178049,1193444,1208790,1224457,1240086,1255893,1271913,1288242,1304926,1321787,1338631,1355443,1372635,1389891,1407574
1,1,1,1,1,1,4,6,7,9,10,12,12,13,13,15,17,17,17,17,17,18,19,21,26,27,28,31,32,36,41,48,52,60,64,67,73,75,80,86,90,98,102,112,118,124,134,142,149,160,171,180,184,189,198,202,211,218,223,233,243,249,253,257,262,270,283,292,295,302,311,318,331,349,359,370,381,390,402,412,427,449,458,465,483,491,500,508,514,527,535,537,545,555,562,566,576,586,593,599,603,610,616,621,628,635,649,660,668,683,691,696,705,719,726,735,740,752,763,779,790,794,803,811,826,840,854,866,878,886,894,908,925,938,959,975,991,1010,1028,1043,1058,1076,1091,1116,1136,1160,1173,1200,1218,1243,1269,1293,1312,1337,1356,1377,1408,1439,1465,1496,1520,1537,1554,1576,1597,1624,1652,1682,1717,1745,1781,1818,1852,1883,1916,1951,1997,2036,2067,2106,2147,2190,2231,2273,2314,2369,2414,2475,2523,2578,2629,2673,2718,2788,2842,2906,2963,3033,3095,3156,3226,3288,3355,3391,3471,3522,3585,3642,3703,3773,3829,3905,3975,4048,4108,4163,4232,4290,4367,4443,4517,4586,4672,4738,4810,4881,4950,5043,5129,5200,5280,5372,5459,5564,5647,5744,5855,5940,6031,6135,6231,6332,6452,6578,6695,6813,6930,7051,7164,7281,7409,7546,7668,7787,7934,8074,8206,8351,8487,8622,8753,8888,9032,9165,9317,9461,9628,9782,9950,10112,10257,10429,10600,10763,10941,11097,11255,11401,11579,11721,11886,12065,12237,12399,12582,12778,12956,13128,13313,13483,13664,13842,14034,14232,14419,14604,14813,15003,15208,15395,15603,15800,15991,16197,16406,16603,16789,17003,17215,17430,17667,17906,18128,18378,18627,18871,19136,19386,19601,19846,20079,20313,20581,20832,21086,21316,21553,21802,22057,22309,22568,22819,23090,23349,23653,23921,24205,24475,24762,24994,25285,25573,25861,26172,26474,26814,27108,27402,27698,28043,28404,28743,29120,29491,29895,30276,30646,31042,31464,31861,32259,32706,33124,33539,33991,34408,34822,35268,35763,36233,36759,37262,37728,38245,38763,39279,39812,40350,40870,41391,41925,42514,43091,43681,44270,44883,45492,46138,46769,47437,48115,48828,49551,50265,50979,51740,52538,53303,54105,54903,55731,56546,57403,58286,59207,60096,61013,62008,63019,64073,65090,66162,67219,68302,69416,70512,71629,72787,74004,75186,76409,77655,78857,80174,81487,82821,84145,85503,86826,88269,89718,91180,92636,94086,95531,97055,98587,100191,101793,103496,105083,106782,108451,110197,111980,113704,115519,117338,119158,120966,122793,124814,126885,128923,131060,133171,135269,137502,139725,141978,144184,146510,148901,151261,153678,156174,158723,161124,163655,166194,168857,171534,174251,176877,179604,182379,185256,188191,191090,194049,196973,199983,202964,206084,209181,212394,215616,218876,222160,225556,228946,232442,236046,239674,243424,247059,250790
1,1,1,2,4,5,6,6,7,11,15,17,20,22,26,30,32,34,38,40,42,43,45,52,56,59,66,69,70,77,79,80,82,86,93,99,102,111,120,128,137,142,149,157,165,171,175,182,195,209,221,231,241,256,272,282,301,316,334,353,377,401,423,456,488,523,562,595,634,672,717,754,789,831,870,913,969,1017,1071,1122,1166,1205,1256,1310,1356,1395,1440,1492,1519,1584,1626,1671,1723,1763,1795,1830,1879,1926,1957,1993,2037,2089,2144,2193,2229,2277,2327,2400,2445,2496,2559,2611,2669,2722,2773,2831,2884,2941,2996,3072,3132,3197,3256,3328,3393,3463,3545,3619,3691,3764,3861,3961,4043,4124,4219,4309,4384,4448,4544,4623,4720,4802,4903,4992,5077,5173,5262,5369,5475,5574,5690,5784,5870,5972,6072,6175,6317,6433,6559,6674,6801,6931,7050,7191,7307,7429,7568,7704,7848,7988,8119,8275,8431,8614,8768,8933,9107,9324,9537,9750,9953,10181,10414,10620,10841,11063,11314,11527,11755,11973,12217,12489,12718,12982,13252,13523,13770,14042,14298,14577,14857,15125,15418,15715,15983,16261,16551,16838,17161,17456,17766,18085,18416,18757,19102,19421,19737,20076,20410,20745,21096,21471,21842,22255,22653,23074,23480,23871,24297,24721,25124,25568,26001,26417,26838,27319,27736,28193,28663,29135,29635,30123,30616,31087,31570,32089,32615,33143,33672,34223,34785,35364,35885,36439,37013,37612,38255,38916,39604,40280,40946,41614,42270,42974,43707,44423,45168,45933,46737,47489,48309,49150,49986,50884,51766,52706,53600,54474,55355,56281,57165,58065,58935,59833,60739,61704,62674,63579,64548,65533,66513,67548,68570,69686,70785,71893,73005,74086,75246,76413,77629,78851,80024,81231,82466,83753,85027,86274,87569,88935,90302,91666,93047,94465,95883,97307,98763,100273,101851,103394,104984,106576,108172,109891,111600,113364,115078,116806,118616,120465,122312,124130,126135,128200,130191,132122,134148,136282,138421,140588,142741,145026,147273,149545,151921,154326,156768,159387,161919,164509,167051,169681,172374,175141,177818,180661,183581,186448,189433,192369,195380,198391,201505,204622,207758,210857,214164,217457,220838,224320,227862,231434,235072,238662,242316,246029,249838,253673,257631,261619,265571,269697,273918,278177,282435,286716,291060,295409,299674,304105,308632,313262,317834,322570,327317,332164,337024,341966,346969,351943,357066,362346,367726,373013,378464,384018,389514,395180,400842,406686,412625,418683,424810,431019,437304,443662,450254,456775,463500,470364,477360,484422,491495,498738,506230,513690,521254,528833,536797,544566,552418,560490,568849,577390,585876,594597,603235,612086,621103,630037,639246,648563,658062,667639,677300,687019,696779,706853,716830,727005,737332,747685,758283,768685,779503,790326,801538,812567,823822,835223,846665,858363,870224,882163,894205,906402,918737,931378,943947,956726,969817,983145,996863,1010630,1024548,1038516,1052614,1066845,1081216,1095565,1110487,1125498,1140681,1155910,1171322,1187057,1202912,1219093,1235296,1251615,1268219,1284995,1301800,1318771,1336228,1353901,1371218
1,1,1,1,1,1,5,5,6,6,12,17,25,30,32,42,50,60,71,85,97,106,115,127,138,148,157,174,190,202,218,226,240,257,264,277,295,310,319,338,355,371,394,410,429,440,451,465,481,505,519,529,546,567,578,590,601,614,626,648,664,683,699,725,750,778,813,838,864,879,909,940,969,1000,1029,1062,1092,1124,1156,1186,1213,1245,1271,1314,1354,1389,1422,1463,1506,1554,1584,1624,1661,1696,1740,1775,1810,1860,1897,1953,1993,2035,2072,2128,2178,2231,2280,2327,2369,2425,2474,2522,2587,2634,2686,2745,2807,2872,2935,2988,3056,3131,3202,3270,3326,3382,3447,3530,3620,3688,3768,3854,3916,3988,4062,4142,4208,4286,4371,4448,4540,4655,4763,4869,4974,5088,5193,5303,5406,5526,5635,5749,5855,5972,6095,6237,6356,6469,6587,6729,6874,6994,7182,7334,7478,7642,7790,7948,8073,8230,8432,8618,8826,9013,9186,9380,9582,9787,10013,10220,10439,10652,10884,11103,11344,11583,11832,12057,12313,12548,12793,13054,13305,13573,13814,14120,14383,14638,14919,15199,15482,15759,16062,16378,16664,16945,17267,17596,17933,18317,18667,19010,19395,19756,20117,20497,20848,21222,21619,22013,22403,22837,23267,23713,24116,24531,24971,25403,25832,26286,26760,27247,27731,28257,28751,29274,29838,30421,30988,31580,32231,32880,33467,34149,34785,35435,36113,36813,37535,38248,39003,39810,40589,41384,42183,42944,43795,44632,45457,46252,47131,48012,48880,49822,50758,51686,52724,53736,54712,55762,56814,57842,58907,59931,61024,62116,63212,64307,65415,66553,67698,68895,70072,71332,72500,73774,75080,76370,77709,79028,80447,81906,83321,84776,86227,87732,89323,90874,92436,94085,95687,97426,99172,100912,102692,104491,106329,108244,110126,112062,113987,115961,117904,119916,121877,123867,125947,128026,130082,132090,134217,136396,138692,141010,143206,145532,147816,150256,152694,155092,157500,160020,162615,165239,167877,170580,173192,175936,178734,181480,184393,187270,190167,193305,196343,199433,202550,205690,208820,211953,215174,218564,221877,225281,228668,232225,235726,239241,242834,246530,250181,253901,257740,261610,265694,269683,273706,277783,281979,286067,290236,294652,299085,303580,308164,312779,317501,322268,327112,332241,337244,342222,347354,352526,357843,363157,368603,374021,379570,385289,391059,396770,402506,408419,414493,420769,427050,433333,439680,445955,452488,458953,465541,472298,479140,486025,493043,500143,507307,514638,522042,529696,537256,545006,552850,560624,568612,576742,584870,593078,601476,609780,618200,626805,635421,644238,653043,662007,670952,680342,689739,699182,708646,718413,728244,738282,748213,758042,768236,778459,788790,799288,809902,820408,831188,841988,852943,864068,875300,886780,898329,909833,921478,933209,944912,956865,969061,981306,993894,1006379,1019113,1032082,1045163,1058201,1071603,1084939,1098526,1112376,1125926,1139898,1153878,1167985,1182224,1196515,1211300,1226102,1241189,1256328,1271796,1287551,1303074,1318966,1334831,1350837,1367114,1383487,1400552,1417170,1434177,1451413,1468668,1486254,1504076,1521947,1539656,1557670,1576020
1,1,3,4,5,7,8,11,14,14,17,20,22,32,37,43,49,54,68,78,86,96,102,112,120,127,135,143,156,168,177,188,200,210,225,237,245,252,271,284,293,306,319,327,343,361,376,400,417,436,455,473,492,512,539,554,584,612,643,667,701,739,760,788,813,851,894,930,969,1010,1049,1087,1139,1195,1244,1288,1333,1375,1424,1461,1507,1557,1603,1658,1719,1776,1827,1871,1911,1968,2025,2072,2129,2191,2254,2307,2377,2456,2531,2582,2669,2753,2819,2904,2993,3081,3162,3241,3332,3415,3483,3558,3638,3734,3821,3908,4010,4115,4187,4253,4311,4395,4458,4551,4640,4719,4805,4876,4952,5023,5102,5187,5267,5352,5418,5503,5569,5648,5729,5818,5910,6013,6117,6210,6295,6406,6526,6626,6733,6842,6934,7045,7154,7229,7340,7441,7551,7643,7733,7845,7957,8042,8134,8220,8322,8408,8506,8618,8717,8808,8917,9027,9137,9237,9334,9448,9579,9688,9805,9936,10064,10179,10316,10458,10600,10709,10873,11043,11189,11346,11517,11691,11869,12058,12247,12467,12669,12863,13088,13280,13490,13709,13932,14125,14331,14570,14825,15077,15330,15586,15830,16074,16344,16595,16849,17118,17365,17643,17979,18231,18487,18776,19070,19364,19664,19966,20268,20586,20874,21187,21501,21832,22146,22508,22838,23177,23522,23835,24197,24536,24906,25288,25684,26056,26442,26828,27258,27668,28129,28573,29045,29535,29979,30407,30867,31261,31747,32257,32712,33196,33692,34214,34720,35248,35751,36269,36802,37391,37956,38512,39042,39607,40197,40770,41351,41974,42568,43199,43863,44544,45203,45905,46611,47327,48029,48766,49492,50279,51032,51843,52565,53368,54161,54999,55803,56661,57495,58319,59179,60034,60920,61859,62760,63687,64651,65577,66570,67521,68520,69593,70643,71641,72695,73786,74918,76067,77243,78402,79521,80711,81982,83160,84339,85546,86759,88042,89322,90601,91880,93214,94475,95893,97256,98599,99971,101337,102682,104092,105467,106868,108314,109859,111377,112986,114526,116111,117593,119122,120791,122509,124132,125840,127552,129405,131127,132929,134720,136516,138394,140402,142370,144350,146359,148347,150343,152336,154348,156370,158483,160544,162668,164826,166988,169129,171353,173629,175935,178219,180518,182855,185240,187642,190161,192658,195122,197698,200318,203045,205779,208557,211248,214030,216908,219807,222747,225756,228817,231929,234955,238028,241198,244460,247739,251081,254415,257761,261195,264629,268099,271613,275196,278925,282489,286178,289919,293715,297556,301337,305229,309235,313364,317306,321316,325245,329377,333577,337878,342138,346381,350730,355278,359862,364549,369211,373909,378809,383695,388491,393509,398601,403661,408798,414031,419310,424558,429935,435442,440946,446479,452237,458099,463935,469952,476134,482314,488591,494877,501305,507772,514326,521022,527745,534563,541445,548526,555689,562971,570344,577838,585380,593217,601101,609023,617114,625137,633225,641514,649791,658361,667090,675808,684645,693534,702575,711628,720842,730128,739658,749188,758862,768800,778675,788683,798912,809355,819763,830203
1,1,2,3,3,4,7,10,14,14,15,17,18,18,18,18,20,21,25,26,30,36,39,40,42,44,46,53,54,60,66,72,82,91,99,103,107,119,129,135,146,153,161,167,175,186,194,207,217,220,229,240,254,263,273,292,309,319,338,350,362,376,397,416,435,457,477,501,523,548,563,590,616,639,662,687,708,742,776,805,829,860,890,922,963,1005,1047,1082,1108,1154,1201,1252,1288,1341,1393,1453,1492,1533,1571,1613,1673,1721,1768,1819,1880,1946,2002,2049,2105,2175,2239,2292,2343,2402,2458,2538,2611,2665,2728,2800,2876,2959,3040,3101,3174,3256,3330,3402,3500,3590,3667,3757,3856,3946,4028,4132,4229,4324,4433,4568,4683,4806,4907,5023,5128,5257,5379,5522,5637,5778,5900,6024,6162,6300,6439,6568,6732,6875,7051,7203,7346,7514,7680,7826,8008,8187,8332,8482,8648,8804,8978,9161,9325,9504,9680,9848,10030,10226,10390,10574,10757,10956,11163,11366,11573,11803,12026,12228,12493,12725,12953,13178,13419,13677,13917,14183,14482,14749,15041,15332,15597,15890,16184,16461,16795,17080,17446,17775,18072,18415,18741,19090,19403,19762,20106,20483,20799,21151,21533,21887,22259,22613,22970,23339,23690,24057,24363,24737,25121,25535,25924,26343,26701,27107,27511,27934,28327,28695,29143,29598,30065,30504,30949,31427,31859,32373,32895,33393,33891,34452,34995,35553,36124,36697,37285,37910,38490,39090,39755,40366,41035,41717,42356,43028,43720,44454,45159,45849,46564,47301,48060,48827,49648,50494,51362,52209,53088,53995,54885,55804,56744,57717,58729,59814,60834,61882,62882,63903,64982,66103,67156,68267,69378,70481,71569,72671,73787,74948,76137,77301,78463,79576,80756,81973,83133,84327,85610,86849,88065,89287,90609,91921,93295,94576,95969,97307,98731,100185,101651,103175,104684,106273,107853,109504,111156,112782,114463,116228,118045,119839,121696,123686,125544,127510,129504,131532,133571,135646,137833,139860,142066,144303,146497,148780,151034,153299,155621,157983,160341,162761,165220,167709,170119,172580,175187,177908,180494,183182,185936,188726,191667,194494,197447,200378,203485,206635,209800,212977,216209,219604,223003,226444,229961,233644,237365,241175,245035,248884,252707,256664,260809,264969,269243,273466,277816,282327,286733,291375,295933,300569,305358,310153,314943,319835,324672,329621,334640,339810,345027,350277,355635,360921,366385,371930,377435,382978,388554,394391,400109,406064,411981,417914,424015,430102,436455,442776,449193,455710,462435,469202,476025,483061,489890,497064,504222,511346,518714,526250,533895,541450,549083,556850,564846,572980,581280,589531,597876,606379,614876,623630,632592,641435,650584,659793,669025,678404,687945,697650,707256,717032,727047,736907,747106,757177,767480,777839,788419,799029,810129,821212,832111,843422,854932,866469,878214,889952,901806,913934,926169,938747,951548,964178,976845,989831,1003162,1016321,1029976,1043948,1057989,1072005,1086229,1100359,1114954,1129649,1144447,1159539,1174698,1190078,1205682,1221499,1237197,1253294,1269831,1286441,1303085,1319855,1337000
1,1,1,2,3,4,5,6,8,10,13,14,17,21,21,22,23,23,23,26,27,31,37,41,44,49,54,61,69,72,74,88,96,102,112,128,136,143,150,161,175,179,187,194,203,211,219,227,233,243,251,257,262,269,282,295,301,312,322,329,336,347,358,380,394,413,432,452,471,492,512,535,561,587,620,649,674,698,727,755,795,815,849,880,909,942,975,1004,1036,1071,1096,1136,1163,1201,1238,1282,1323,1355,1379,1407,1434,1462,1499,1533,1567,1599,1636,1676,1714,1744,1778,1808,1866,1903,1947,1981,2030,2070,2113,2149,2196,2242,2281,2329,2367,2418,2474,2522,2582,2632,2666,2715,2769,2816,2875,2931,2984,3033,3086,3150,3195,3230,3278,3330,3386,3433,3487,3548,3596,3641,3698,3747,3799,3861,3921,3976,4035,4105,4153,4212,4279,4338,4398,4474,4552,4622,4701,4769,4825,4898,4970,5049,5102,5183,5242,5311,5373,5424,5486,5552,5616,5670,5723,5768,5828,5883,5930,5980,6026,6075,6125,6168,6213,6255,6295,6332,6372,6411,6444,6485,6521,6568,6612,6658,6695,6745,6787,6836,6890,6952,6999,7044,7101,7158,7216,7272,7335,7389,7450,7505,7570,7631,7704,7760,7828,7885,7942,8001,8067,8119,8176,8240,8305,8357,8418,8481,8549,8598,8661,8717,8779,8836,8900,8946,9008,9071,9137,9178,9225,9278,9350,9423,9495,9563,9639,9734,9800,9890,9966,10035,10137,10224,10314,10406,10480,10569,10674,10762,10865,10961,11058,11158,11262,11371,11463,11560,11663,11748,11828,11898,11985,12073,12184,12290,12387,12508,12617,12720,12841,12946,13070,13186,13309,13422,13555,13663,13793,13922,14053,14178,14313,14435,14567,14699,14861,15004,15130,15243,15367,15513,15620,15755,15893,16017,16154,16293,16468,16600,16755,16915,17063,17234,17387,17568,17720,17912,18075,18254,18446,18644,18849,19023,19223,19444,19667,19900,20088,20295,20514,20752,21012,21252,21498,21788,22055,22330,22594,22855,23107,23392,23665,23947,24239,24542,24849,25162,25479,25797,26138,26470,26793,27118,27481,27875,28202,28558,28899,29287,29629,30002,30355,30743,31150,31580,32030,32472,32926,33390,33852,34334,34840,35349,35831,36338,36868,37401,37977,38520,39051,39634,40248,40826,41383,41959,42542,43148,43785,44388,44968,45586,46179,46795,47498,48114,48742,49376,49953,50593,51233,51937,52627,53364,54045,54817,55502,56222,56941,57618,58324,59071,59824,60541,61263,62009,62736,63509,64345,65161,65966,66739,67582,68379,69199,70002,70880,71717,72608,73529,74412,75341,76287,77257,78285,79286,80249,81274,82308,83369,84458,85583,86706,87907,89044,90191,91324,92508,93754,94911,96067,97246,98423,99678,100905,102148,103423,104716,106082,107363,108669,110046,111385,112804,114277,115777,117292,118829,120304,121810,123372,124922,126447,128097,129738,131391,133065,134800,136503,138302,140086,141905,143724,145477,147351,149281,151209,153117,155126
1,1,4,5,8,9,12,14,17,17,22,26,27,31,37,41,43,50,58,66,71,81,89,95,109,115,119,130,136,151,160,168,186,190,197,204,215,219,228,239,249,262,272,283,299,313,326,347,361,373,393,409,431,453,467,482,504,531,559,593,624,651,683,704,737,767,806,835,878,903,948,978,1019,1058,1097,1141,1186,1230,1266,1305,1354,1386,1425,1464,1498,1536,1573,1611,1657,1711,1746,1801,1840,1900,1951,2009,2053,2099,2153,2203,2250,2311,2375,2431,2489,2559,2611,2685,2755,2829,2892,2963,3035,3110,3193,3257,3348,3427,3509,3602,3699,3792,3885,3978,4087,4202,4301,4395,4487,4594,4699,4828,4937,5068,5213,5336,5482,5657,5789,5964,6133,6292,6443,6622,6779,6955,7124,7291,7477,7653,7830,8027,8228,8440,8660,8867,9100,9318,9531,9752,9983,10193,10413,10634,10862,11110,11322,11550,11803,12071,12331,12597,12845,13101,13374,13642,13896,14155,14394,14672,14962,15231,15502,15803,16084,16370,16642,16929,17226,17535,17833,18176,18474,18769,19068,19431,19777,20160,20527,20934,21360,21775,22177,22614,23058,23527,24002,24500,25019,25508,26001,26532,27070,27666,28232,28833,29450,30064,30677,31369,32032,32755,33469,34184,34948,35765,36601,37397,38187,39071,39926,40809,41647,42521,43497,44505,45455,46436,47496,48492,49570,50636,51691,52755,53853,54959,56041,57196,58312,59501,60687,61861,63005,64205,65433,66694,67948,69184,70483,71827,73173,74510,75888,77264,78618,79987,81400,82896,84323,85749,87214,88733,90233,91793,93375,94962,96624,98229,99896,101605,103296,104973,106621,108385,110091,111883,113655,115592,117507,119377,121212,123158,125186,127193,129204,131262,133383,135463,137608,139759,141923,144104,146377,148564,150826,153045,155301,157633,159994,162406,164719,167041,169369,171801,174280,176757,179323,181895,184434,187058,189684,192289,195049,197746,200489,203297,206081,209024,211907,214790,217802,220798,223870,226929,229994,233229,236518,239801,243198,246687,250122,253611,257203,260833,264553,268386,272204,276010,279857,283855,287891,292036,296182,300246,304523,308789,313217,317551,321932,326306,330962,335516,340137,344714,349503,354243,359175,364089,369181,374148,379262,384413,389564,394785,400090,405389,410882,416514,422128,427796,433517,439230,445131,451055,456959,463012,469066,475089,481466,487993,494525,500995,507717,514317,521193,528262,535092,542063,549244,556442,563853,571313,578730,586172,594001,601708,609535,617561,625790,633914,642194,650538,659152,667739,676494,685350,694438,703669,713051,722274,731962,741611,751405,761278,771234,781344,791528,801808,812177,822958,833725,844548,855792,866970,878288,889481,901216,912867,924835,936865,949155,961443,973746,986445,999036,1011792,1024747,1037897,1051128,1064470,1078159,1091798,1105579,1119395,1133603,1147907,1162185,1176801,1191759,1206506,1221717,1236995,1252225,1267842,1283816,1299814,1315975,1332412,1348848,1365325,1382029,1398768,1415754,1432850,1450343,1467947,1485584,1503157,1520947,1539272,1557326,1575704,1594233,1613225,1632170,1651535,1671010,1690931,1710466,1730536,1750752,1770912,1791458,1812415,1833586,1855041,1876623
1,1,1,1,1,1,1,4,7,10,13,13,16,17,20,20,21,24,29,31,36,44,46,50,57,63,66,78,90,103,115,121,130,136,141,148,162,164,177,185,194,207,214,225,232,241,248,258,276,280,290,308,316,332,346,357,368,384,392,408,425,439,449,467,485,504,524,540,557,576,597,620,633,658,683,702,727,755,786,826,856,887,921,959,982,1026,1056,1088,1135,1171,1217,1259,1303,1349,1388,1419,1452,1494,1527,1555,1598,1638,1669,1705,1744,1782,1831,1864,1900,1935,1970,2000,2039,2077,2125,2167,2205,2237,2280,2311,2362,2402,2466,2504,2557,2614,2659,2700,2762,2809,2857,2906,2949,3008,3053,3115,3180,3259,3321,3387,3454,3518,3588,3647,3718,3788,3865,3947,4015,4102,4179,4257,4326,4406,4477,4557,4647,4739,4860,4952,5057,5125,5217,5301,5386,5477,5552,5645,5741,5834,5952,6074,6167,6266,6374,6472,6574,6684,6795,6910,7001,7102,7210,7309,7416,7532,7641,7739,7846,7965,8053,8165,8277,8371,8472,8582,8691,8794,8895,9007,9127,9267,9384,9482,9609,9753,9867,10001,10112,10239,10391,10554,10732,10885,11055,11216,11372,11550,11725,11882,12033,12203,12347,12543,12745,12937,13113,13321,13512,13706,13902,14098,14281,14474,14649,14857,15047,15249,15451,15658,15875,16073,16267,16462,16676,16875,17070,17282,17479,17673,17901,18113,18336,18557,18780,19020,19257,19498,19749,19975,20232,20471,20746,21033,21325,21591,21858,22147,22443,22722,23047,23356,23636,23918,24226,24565,24882,25233,25553,25857,26164,26484,26819,27161,27452,27748,28009,28300,28649,28959,29259,29537,29849,30142,30450,30751,31044,31383,31692,32016,32326,32692,33075,33384,33700,34020,34370,34739,35108,35508,35884,36258,36597,37006,37345,37735,38097,38503,38862,39223,39592,40002,40405,40795,41215,41637,42054,42473,42912,43314,43722,44176,44622,45091,45553,46027,46530,46985,47502,47998,48530,49039,49554,50085,50595,51150,51718,52327,52932,53507,54135,54732,55372,56046,56721,57423,58072,58775,59439,60110,60874,61657,62340,63082,63766,64508,65255,65997,66749,67533,68256,69091,69935,70765,71528,72344,73130,73934,74823,75698,76555,77421,78312,79168,80036,80929,81857,82821,83815,84754,85645,86632,87636,88589,89621,90752,91839,92955,94095,95223,96383,97576,98790,100062,101335,102613,103927,105292,106616,107933,109384,110898,112377,113890,115387,116915,118448,120020,121585,123242,124864,126488,128134,129736,131489,133194,134778,136506,138182,139904,141671,143389,145112,146807,148612,150442,152306,154108,155968,157856,159810,161757,163724,165755,167699,169806,171937,174107,176453,178647,180811,183086,185415,187758,190158,192662,195076,197576,200098,202628,205208,207877,210575,213292,216165,218965,221841,224733,227588,230509,233385,236322,239283,242260,245373,248595,251733,254942,258122,261362,264705,268079,271512,275007,278430,282079,285608,289265,293064,296837,300626,304547,308421,312242,316212,320178,324203
1,1,1,1,1,1,4,6,7,10,11,15,18,21,26,27,28,33,38,41,46,51,63,72,80,85,101,112,119,127,137,143,157,172,184,202,217,232,245,261,272,290,314,336,362,370,385,405,438,474,497,526,555,581,607,629,657,686,720,768,810,853,897,933,984,1032,1076,1125,1180,1232,1279,1347,1401,1466,1512,1561,1632,1689,1733,1782,1836,1892,1963,2024,2091,2140,2193,2246,2304,2367,2433,2495,2555,2617,2693,2759,2809,2874,2940,3003,3059,3125,3187,3257,3334,3409,3478,3565,3633,3704,3758,3833,3880,3949,4030,4116,4186,4252,4331,4397,4462,4537,4610,4691,4770,4845,4911,4987,5051,5133,5189,5263,5342,5429,5503,5577,5652,5738,5827,5942,6030,6140,6240,6355,6456,6591,6709,6832,6941,7074,7200,7315,7442,7566,7688,7829,7943,8096,8226,8373,8487,8649,8800,8925,9075,9229,9417,9585,9744,9913,10063,10215,10358,10553,10731,10916,11078,11256,11455,11618,11817,12000,12184,12348,12539,12720,12896,13105,13296,13516,13739,13946,14151,14356,14554,14773,14985,15192,15434,15642,15860,16080,16291,16501,16702,16944,17172,17374,17600,17834,18068,18264,18513,18749,18981,19193,19429,19638,19894,20127,20366,20610,20872,21109,21338,21612,21876,22113,22365,22635,22901,23133,23415,23686,23984,24252,24504,24804,25079,25351,25633,25902,26199,26473,26791,27092,27362,27654,27963,28237,28541,28828,29155,29468,29808,30172,30481,30813,31152,31474,31796,32161,32511,32874,33284,33670,34074,34497,34886,35259,35712,36150,36564,37001,37445,37886,38321,38751,39218,39665,40112,40599,41063,41542,42031,42521,43053,43554,44080,44571,45060,45558,46110,46675,47280,47871,48472,49023,49638,50220,50900,51541,52204,52878,53566,54297,55026,55717,56488,57204,57911,58644,59379,60120,60894,61693,62456,63190,63992,64818,65698,66528,67295,68113,68934,69733,70550,71347,72172,73049,73942,74808,75738,76676,77524,78459,79425,80428,81395,82402,83368,84412,85425,86535,87606,88739,89830,90874,91997,93117,94249,95408,96664,97876,99119,100397,101633,102925,104263,105510,106743,108071,109425,110782,112099,113493,114839,116251,117693,119119,120547,122016,123520,124997,126557,128107,129663,131221,132825,134399,135939,137613,139241,140953,142653,144420,146111,147900,149720,151564,153415,155392,157281,159120,161078,163206,165286,167301,169344,171423,173602,175733,177856,180115,182443,184788,187252,189630,192050,194519,197021,199592,202196,204853,207532,210141,212850,215558,218364,221161,224006,227052,230039,233132,236227,239387,242418,245542,248816,252013,255263,258523,261956,265317,268739,272229,275699,279342,283039,286717,290443,294280,298113,301990,305935,309804,313786,317909,321959,326150,330345,334746,339124,343514,348063,352596,357194,361841,366659,371449,376308,381489,386534,391885,397135,402513,408001,413313,418950,424632,430504,436415,442380,448554,454658,460912,467263,473693,480251,486936,493640,500524,507379,514300,521339,528330,535438,542705,549889,557320,564794,572548,580180,587872,595629,603573,611453
1,1,1,2,2,2,4,5,6,6,7,14,15,17,22,26,28,32,35,37,44,49,58,69,77,82,90,103,117,126,144,154,160,174,191,203,221,236,243,256,270,282,297,316,332,351,368,376,392,411,427,441,457,476,486,505,523,542,559,578,590,607,629,652,674,691,703,727,741,770,790,809,836,856,880,892,912,941,968,992,1012,1049,1075,1098,1130,1157,1203,1235,1266,1301,1340,1369,1411,1453,1491,1526,1572,1619,1666,1717,1773,1830,1885,1935,1976,2035,2099,2167,2228,2289,2370,2424,2492,2563,2640,2713,2782,2854,2905,2973,3043,3092,3165,3234,3308,3366,3427,3486,3555,3618,3677,3732,3790,3849,3911,3968,4022,4072,4118,4186,4240,4300,4361,4424,4495,4564,4629,4677,4750,4809,4864,4910,4968,5034,5111,5196,5257,5341,5406,5488,5573,5650,5742,5814,5903,5981,6065,6161,6268,6354,6437,6517,6610,6729,6834,6921,7036,7138,7241,7343,7449,7559,7663,7762,7870,7968,8101,8207,8327,8459,8601,8720,8860,8997,9141,9272,9423,9563,9711,9871,10033,10181,10340,10489,10635,10821,10980,11171,11330,11490,11681,11844,12042,12204,12382,12573,12757,12943,13127,13313,13470,13645,13829,14015,14190,14344,14511,14710,14897,15093,15278,15458,15653,15853,16034,16239,16427,16635,16817,17019,17247,17440,17677,17886,18101,18372,18637,18868,19142,19368,19633,19867,20142,20382,20628,20889,21120,21386,21638,21895,22157,22448,22719,22985,23294,23566,23854,24162,24423,24715,25035,25357,25659,25935,26241,26585,26879,27237,27595,27944,28296,28687,29053,29416,29781,30161,30551,30968,31361,31720,32173,32614,33070,33509,33931,34344,34791,35244,35717,36193,36664,37137,37576,38074,38513,39042,39607,40149,40682,41216,41783,42375,42958,43541,44127,44740,45414,46010,46668,47310,47966,48643,49314,50011,50674,51370,52105,52838,53590,54372,55118,55895,56645,57431,58225,59065,59900,60731,61649,62487,63366,64244,65084,65955,66823,67669,68591,69458,70360,71314,72213,73111,73978,74857,75744,76716,77598,78591,79602,80557,81466,82449,83414,84379,85368,86380,87436,88506,89519,90608,91662,92860,93989,95143,96298,97562,98766,99994,101237,102481,103703,104977,106254,107535,108786,110058,111414,112746,114148,115531,116898,118335,119821,121327,122840,124377,126006,127540,129142,130811,132448,134232,135971,137757,139528,141387,143186,145079,146994,148885,150865,152879,154965,157010,159168,161275,163404,165664,167951,170207,172367,174708,177162,179614,182071,184523,186938,189408,191958,194596,197337,200099,202750,205432,208099,210976,213727,216661,219535,222532,225526,228600,231655,234837,237992,241285,244524,247812,251138,254628,258223,261767,265434,269211,272949,276741,280720,284547,288557,292679,296803,301016,305246,309578,313954,318353,322654,327157,331716,336301,341024,345689,350341,355042,359932,364778,369687,374660,379676,384663,389735,394809,399944,405217,410514,416039,421587,427003,432483,438095,443735,449573,455550,461545,467846,474187,480554
1,1,2,2,3,5,7,7,8,10,11,16,23,24,28,31,34,37,46,52,59,64,74,83,85,96,109,119,130,143,148,151,163,173,183,194,199,210,220,230,243,257,274,283,299,311,320,332,353,371,392,413,441,464,486,508,529,556,581,609,640,668,716,759,811,869,926,964,1011,1063,1113,1164,1223,1288,1346,1395,1450,1496,1549,1606,1661,1730,1785,1839,1889,1948,1998,2055,2138,2195,2249,2312,2386,2464,2527,2592,2649,2723,2804,2889,2969,3043,3121,3202,3280,3358,3434,3513,3624,3725,3836,3931,4031,4126,4237,4321,4437,4539,4656,4754,4859,4980,5093,5194,5302,5415,5531,5646,5784,5899,6011,6156,6267,6402,6541,6656,6786,6916,7042,7163,7305,7434,7561,7697,7814,7949,8063,8214,8332,8452,8566,8700,8846,8960,9074,9195,9306,9430,9549,9689,9807,9940,10056,10187,10295,10422,10579,10712,10845,10993,11135,11271,11441,11580,11722,11880,12027,12162,12323,12478,12638,12795,12975,13138,13314,13495,13676,13827,14014,14227,14423,14631,14860,15078,15272,15483,15679,15901,16132,16336,16573,16815,17052,17275,17510,17751,18006,18243,18491,18750,18997,19248,19517,19778,20036,20310,20562,20868,21140,21452,21754,22046,22350,22641,22966,23263,23555,23830,24112,24413,24735,25055,25397,25720,26085,26448,26775,27102,27458,27846,28183,28575,28939,29305,29624,29998,30403,30791,31187,31591,31997,32403,32819,33293,33742,34210,34638,35118,35607,36136,36634,37091,37616,38126,38687,39188,39729,40248,40768,41323,41866,42417,42965,43528,44106,44644,45179,45742,46281,46878,47473,48013,48615,49231,49827,50438,51086,51716,52379,53034,53690,54357,55009,55689,56393,57099,57821,58520,59249,60047,60862,61630,62422,63260,64085,64885,65712,66530,67374,68271,69194,70035,70919,71843,72816,73773,74734,75678,76660,77663,78600,79578,80557,81507,82522,83523,84616,85748,86837,88004,89110,90239,91359,92525,93693,94923,96146,97471,98686,99966,101229,102574,103966,105342,106745,108202,109674,111160,112697,114254,115820,117364,118895,120524,122194,123842,125617,127311,129021,130767,132546,134392,136228,138111,140034,141953,143797,145758,147737,149771,151834,153873,155927,158147,160228,162410,164548,166839,169194,171548,174038,176365,178848,181361,183894,186457,189005,191480,194000,196646,199408,202174,205019,207770,210587,213510,216563,219646,222650,225827,229007,232247,235541,238875,242206,245569,249061,252680,256237,259827,263648,267446,271264,275163,279145,283069,287067,291081,295227,299452,303743,307959,312294,316785,321394,325987,330644,335346,339947,344687,349488,354460,359446,364451,369628,374736,379951,385234,390439,395996,401549,407113,412724,418468,424345,430319,436490,442692,448916,455261,461447,467704,474202,480742,487350,494092,500898,507802,514821,522024,529036,536375,543786,551114,558642,566240,574023,581807,589723,597741,605941,614183,622528,631165,639842,648763,657702,666838,676044,685264,694642,704396,714127,724067,734052,743942,753988,764360,774587,785002,795635,806328,817037,827995,838991,850151,861493
1,1,1,1,1,5,6,8,9,10,11,14,14,19,20,22,27,28,28,34,39,41,47,50,60,65,66,70,78,84,95,102,106,109,116,131,139,151,162,174,177,195,204,211,215,232,243,257,269,285,295,301,314,327,349,370,387,404,425,439,462,478,499,526,547,581,602,627,646,669,698,735,774,812,842,882,910,934,976,1014,1050,1095,1125,1160,1207,1252,1294,1341,1373,1409,1449,1491,1547,1590,1652,1701,1750,1796,1856,1913,1961,2015,2069,2124,2179,2232,2291,2364,2418,2476,2537,2592,2652,2717,2793,2885,2972,3047,3129,3218,3315,3419,3509,3606,3715,3836,3928,4040,4149,4258,4360,4483,4618,4745,4865,4995,5114,5247,5363,5469,5583,5716,5836,5954,6059,6186,6283,6406,6538,6659,6791,6904,7025,7149,7280,7417,7559,7687,7827,7986,8146,8292,8431,8607,8755,8915,9081,9243,9422,9586,9793,9975,10169,10368,10579,10810,11036,11262,11479,11733,11979,12225,12462,12724,12974,13208,13456,13679,13920,14169,14432,14718,14991,15243,15494,15745,16048,16309,16617,16894,17180,17490,17825,18124,18431,18754,19074,19393,19747,20047,20408,20768,21136,21491,21848,22198,22578,22944,23317,23728,24112,24522,24929,25309,25726,26155,26579,27015,27413,27844,28262,28737,29180,29654,30084,30530,31014,31517,32056,32594,33160,33723,34266,34817,35372,35916,36486,37084,37717,38373,39000,39661,40302,40957,41649,42363,43058,43772,44505,45261,46009,46709,47455,48220,48937,49667,50443,51223,52000,52794,53570,54384,55254,56097,56968,57833,58743,59635,60505,61382,62290,63194,64141,65102,66053,66981,67920,68898,69896,70958,71988,73004,74066,75107,76161,77214,78292,79350,80483,81550,82646,83802,84956,86097,87238,88414,89599,90792,91931,93125,94439,95720,96969,98314,99699,101022,102368,103721,105231,106675,108176,109656,111118,112634,114189,115711,117319,118779,120393,121995,123568,125210,126862,128528,130212,132055,133780,135533,137361,139211,141126,143080,144979,146875,148826,150730,152691,154719,156702,158773,160881,162957,165174,167243,169405,171608,173864,176145,178479,180772,183126,185482,187925,190395,192885,195367,197949,200465,203091,205814,208643,211458,214236,217071,220028,222934,225841,228837,231918,235024,238316,241368,244595,247927,251239,254697,258070,261511,265097,268535,272223,275815,279608,283251,287008,290785,294636,298582,302603,306576,310658,314704,318801,322932,327178,331378,335734,340042,344372,348756,353233,357646,362155,366671,371346,375972,380739,385548,390490,395421,400370,405585,410748,415990,421330,426662,432040,437525,442939,448562,454253,459994,465785,471817,477781,483689,489826,495991,502292,508477,514815,521295,527803,534379,541111,548021,555017,562003,569107,576274,583374,590810,598260,605789,613395,621260,628992,636924,645058,653049,661191,669529,678092,686642,695393,704227,713202,722343,731484,740753,750182,759815,769586,779483,789426,799642,809771,820021,830625,841156,851836,862631,873712,884851,895943,907267,919071,930815,942498,954461,966642,978904,991217,1003588,1015922,1028622,1041263
1,1,1,1,1,1,1,2,3,4,4,7,9,11,14,16,20,22,24,24,29,33,43,54,66,72,78,83,93,98,102,107,117,129,140,149,157,163,172,183,189,195,197,205,208,214,222,231,236,240,251,260,266,276,292,298,307,322,338,346,355,365,378,385,396,408,424,438,451,463,475,487,493,504,515,525,535,546,565,570,585,608,635,657,674,694,719,739,762,786,808,829,849,866,890,907,924,936,953,976,993,1014,1040,1066,1099,1124,1145,1169,1206,1225,1252,1282,1315,1340,1385,1422,1453,1495,1543,1582,1626,1666,1702,1746,1794,1844,1903,1948,2010,2074,2143,2209,2270,2349,2405,2481,2555,2627,2720,2807,2903,2995,3099,3191,3271,3377,3486,3595,3707,3813,3935,4054,4184,4324,4457,4588,4739,4876,5016,5154,5303,5451,5595,5720,5893,6031,6185,6330,6447,6588,6779,6945,7119,7309,7458,7622,7790,7963,8151,8339,8522,8715,8950,9148,9351,9562,9823,10059,10287,10529,10764,11014,11259,11514,11790,12076,12391,12686,12985,13277,13614,13914,14252,14575,14939,15254,15603,15938,16309,16684,17050,17407,17813,18197,18622,19065,19481,19930,20357,20809,21221,21701,22178,22672,23130,23638,24161,24697,25211,25710,26281,26809,27383,27923,28489,29118,29755,30360,31016,31678,32318,32947,33621,34350,35013,35667,36390,37167,37944,38720,39533,40392,41193,42000,42822,43691,44561,45435,46330,47259,48084,48993,49941,50949,51927,52813,53823,54813,55866,56902,57895,58978,60009,61039,62086,63102,64178,65329,66454,67576,68707,69877,71033,72287,73504,74806,76098,77406,78682,80010,81446,82893,84285,85747,87297,88858,90395,91983,93545,95235,96896,98619,100304,102031,103723,105533,107375,109120,110915,112699,114502,116407,118350,120361,122399,124413,126393,128435,130551,132649,134799,136995,139235,141531,143797,145953,148273,150612,152908,155209,157543,159953,162342,164846,167204,169775,172242,174827,177436,180001,182599,185165,187848,190537,193230,196025,198766,201590,204377,207317,210235,213141,216204,219239,222162,225254,228432,231626,234869,238148,241445,244803,248128,251634,255165,258659,262358,266039,269699,273424,277211,280943,284743,288585,292479,296486,300443,304348,308472,312593,316756,320922,325134,329486,333956,338418,342976,347449,352046,356630,361325,366058,370884,375806,380854,385932,391034,396208,401413,406695,412189,417679,423196,428840,434486,440274,446114,452019,458086,464033,470140,476228,482521,488701,494934,501377,507763,514298,520970,527417,534378,541151,548125,555256,562335,569530,576894,584109,591556,599000,606509,614373,622051,629972,637981,645962,654103,662242,670758,679186,687832,696370,704921,713765,722677,731678,740717,749937,759294,768765,778287,787798,797614,807419,817285,827348,837570,847839,858281,868637,879145,889684,900459,911366,922413,933510,944673,956195,967648,979274,991239,1003015,1015119,1027293,1039375,1051566,1064132,1076740,1089546,1102677,1115935,1129203,1142672,1156315,1170067,1183940,1197928,1212262,1226730,1241274,1255957,1270664,1285454,1300587,1315978,1331489,1347043
1,1,1,1,1,1,1,1,3,6,9,10,12,15,18,19,19,20,23,25,27,27,29,36,38,40,49,54,60,70,78,89,96,102,112,119,131,142,154,165,173,181,200,217,223,230,238,245,252,261,270,279,287,292,300,313,326,335,343,353,364,387,408,419,440,465,484,505,524,543,559,578,593,611,631,652,675,706,724,740,761,783,807,832,853,868,897,919,937,961,977,996,1017,1032,1053,1078,1100,1124,1151,1184,1213,1237,1265,1294,1325,1340,1375,1391,1420,1450,1472,1504,1546,1570,1599,1627,1652,1682,1723,1744,1770,1795,1836,1871,1904,1935,1961,2002,2042,2089,2145,2185,2226,2277,2313,2374,2431,2472,2517,2580,2629,2681,2746,2799,2837,2895,2944,3000,3052,3112,3175,3222,3272,3321,3380,3439,3490,3534,3583,3657,3723,3782,3842,3923,3981,4062,4138,4203,4281,4352,4437,4514,4605,4686,4786,4876,4955,5061,5157,5229,5332,5416,5504,5600,5693,5809,5921,6033,6125,6219,6331,6429,6557,6667,6787,6898,7017,7153,7267,7382,7500,7653,7806,7936,8079,8222,8358,8518,8682,8840,8992,9144,9328,9513,9687,9879,10056,10252,10455,10640,10818,11046,11221,11400,11620,11835,12037,12259,12458,12699,12929,13167,13398,13643,13889,14107,14348,14599,14862,15109,15407,15703,15958,16243,16508,16777,17053,17330,17622,17891,18165,18428,18750,19107,19473,19822,20125,20494,20809,21117,21434,21795,22168,22519,22876,23267,23652,24055,24458,24849,25292,25735,26152,26566,26983,27420,27863,28296,28750,29176,29660,30123,30619,31109,31598,32089,32589,33081,33602,34145,34683,35227,35774,36350,36917,37546,38127,38786,39377,39993,40617,41217,41890,42544,43240,43971,44668,45360,46090,46798,47525,48261,48994,49765,50459,51251,52033,52827,53638,54437,55286,56102,56937,57771,58615,59510,60393,61296,62172,63071,64004,64938,65868,66880,67887,68966,69963,70979,72039,73121,74192,75335,76463,77591,78740,79967,81162,82360,83647,84918,86131,87390,88682,89991,91307,92584,93854,95224,96625,98057,99471,100936,102389,103881,105400,107007,108545,110159,111718,113281,114888,116609,118314,120060,121829,123642,125422,127322,129204,131189,133177,135139,137146,139104,141151,143183,145273,147514,149746,151951,154210,156522,158949,161345,163807,166354,168828,171336,173844,176428,179079,181863,184695,187579,190412,193482,196411,199374,202468,205452,208483,211565,214696,217908,221199,224578,227996,231425,234899,238393,242037,245773,249561,253277,257067,260947,264890,268910,272888,276919,281145,285249,289478,293785,298115,302516,306918,311350,315769,320388,324976,329719,334527,339387,344209,349086,353991,359077,364103,369297,374588,379926,385401,390959,396547,402199,408054,413808,419905,425937,432238,438551,445047,451503,458082,464803,471659,478485,485497,492575,499589,506858,514187,521492,528875,536496,544169,552019,560034,568119,576127,584273,592654,601092,609657,618361,626962,635909,644819,653917,662957,672288,681736,691199,700743,710726,720692
1,1,3,3,3,6,7,11,12,14,16,20,25,26,29,33,36,38,45,55,64,80,93,100,122,132,149,165,177,193,217,238,254,275,297,319,331,351,378,391,406,423,433,456,477,503,520,538,563,582,606,626,642,661,686,710,737,766,790,813,837,872,900,942,980,1017,1062,1119,1179,1240,1283,1330,1392,1439,1495,1550,1608,1666,1726,1792,1859,1924,1970,2026,2077,2141,2198,2256,2307,2376,2438,2488,2538,2600,2658,2722,2796,2870,2930,2998,3069,3149,3222,3304,3390,3478,3563,3650,3729,3815,3914,4020,4130,4237,4355,4477,4580,4686,4797,4912,5046,5188,5334,5473,5603,5737,5880,6027,6188,6324,6454,6593,6761,6906,7053,7214,7375,7518,7657,7823,7975,8145,8305,8498,8650,8786,8957,9144,9343,9523,9728,9929,10140,10327,10515,10730,10923,11143,11354,11582,11808,12026,12211,12434,12701,12936,13196,13430,13668,13890,14138,14368,14592,14831,15070,15294,15519,15741,16019,16253,16482,16700,16927,17125,17360,17584,17793,18000,18231,18449,18689,18937,19152,19367,19602,19815,20033,20271,20510,20760,21040,21297,21583,21843,22114,22386,22643,22921,23221,23539,23852,24168,24489,24799,25145,25487,25800,26138,26519,26866,27191,27564,27948,28302,28666,29032,29383,29773,30141,30577,30961,31362,31741,32183,32612,33023,33454,33856,34271,34694,35123,35580,36029,36434,36897,37368,37813,38293,38768,39233,39686,40226,40747,41246,41780,42319,42867,43421,44017,44562,45151,45700,46206,46755,47347,47901,48523,49146,49750,50358,50968,51608,52240,52840,53486,54135,54812,55462,56109,56778,57484,58191,58830,59512,60189,60906,61588,62314,63048,63789,64591,65380,66205,67038,67869,68693,69574,70414,71297,72188,73124,74117,75131,76126,77080,78082,79037,80030,80961,82011,83004,84130,85184,86221,87224,88292,89365,90490,91636,92755,93838,94963,96145,97345,98583,99831,101103,102371,103631,104951,106332,107689,109042,110457,111905,113382,114890,116470,118073,119588,121238,122853,124526,126275,127974,129727,131651,133525,135402,137241,139163,141046,143021,145119,147140,149245,151361,153479,155641,157846,160107,162365,164605,166949,169296,171612,174106,176507,178888,181393,183875,186393,188910,191478,194022,196656,199371,202098,204811,207599,210359,213176,215967,218818,221721,224686,227719,230724,233828,237006,240194,243422,246732,250072,253343,256739,260126,263543,267173,270625,274231,277888,281590,285417,289236,293121,297002,300993,304938,309053,313456,317595,321829,326299,330630,335217,339898,344544,349361,354211,359172,364306,369344,374600,379835,385208,390611,396091,401850,407464,413258,419156,425096,431277,437459,443764,450065,456488,462915,469565,476196,482904,489580,496391,503298,510232,517325,524522,531650,538974,546602,554146,561810,569570,577343,585200,593112,601235,609346,617649,625878,634282,642804,651520,660155,668951,677922,687179,696283,705452,714858,724159,733601,743372,753027,763050,773241,783366,793725,804126,814536,825273,836133,847007,858138,869356,880863,892426,903986,915803,927859,940038,952222,964560,977059,989885,1002684
1,1,1,1,1,4,6,6,9,9,9,12,15,19,26,29,30,32,40,45,49,58,65,70,74,80,93,110,122,138,147,157,163,174,181,190,200,209,228,241,253,269,285,308,325,336,353,365,378,391,407,425,441,458,468,480,487,502,512,524,534,545,564,572,590,602,617,631,647,662,676,688,702,717,734,754,766,781,800,817,842,863,886,908,945,971,998,1018,1055,1085,1124,1142,1172,1199,1227,1270,1297,1331,1382,1420,1465,1510,1544,1581,1621,1667,1720,1780,1827,1881,1942,2000,2053,2118,2190,2246,2309,2383,2460,2519,2571,2639,2721,2791,2866,2944,3006,3069,3147,3206,3307,3386,3477,3554,3641,3728,3818,3896,3981,4081,4168,4264,4356,4449,4543,4637,4722,4815,4924,5018,5109,5220,5316,5418,5504,5604,5702,5827,5917,6023,6128,6244,6372,6494,6594,6714,6846,6975,7075,7195,7303,7424,7546,7692,7856,7988,8148,8302,8461,8588,8740,8908,9030,9194,9342,9495,9663,9826,9993,10165,10322,10499,10690,10874,11063,11250,11416,11585,11788,11964,12174,12401,12609,12821,13022,13218,13421,13625,13854,14096,14340,14555,14776,15010,15241,15484,15732,15979,16240,16466,16742,16990,17259,17497,17739,18015,18260,18481,18715,18949,19167,19404,19636,19842,20075,20312,20536,20748,20990,21206,21418,21665,21867,22127,22347,22573,22795,23063,23326,23576,23872,24172,24468,24759,25025,25337,25659,26018,26366,26708,27055,27446,27807,28178,28567,28947,29330,29677,30113,30541,30973,31394,31783,32185,32644,33050,33518,33965,34480,34959,35453,35928,36444,36986,37503,38047,38573,39124,39685,40223,40810,41385,42006,42550,43172,43833,44516,45192,45875,46582,47295,47949,48704,49411,50154,50906,51647,52453,53267,54062,54899,55680,56492,57348,58237,59099,60008,60869,61834,62727,63637,64546,65540,66476,67425,68470,69489,70475,71484,72581,73625,74732,75844,76919,78050,79215,80336,81461,82613,83785,84957,86213,87389,88633,89874,91192,92485,93843,95185,96545,97866,99207,100636,101983,103354,104804,106285,107887,109430,111083,112689,114282,115900,117635,119333,121168,122961,124812,126609,128489,130386,132353,134299,136278,138304,140345,142535,144645,146689,148913,151060,153187,155378,157629,159927,162319,164641,167043,169418,171855,174359,176938,179496,182120,184767,187420,190079,192788,195443,198118,200881,203817,206786,209771,212781,215825,218902,221967,225084,228291,231460,234764,238054,241312,244732,248085,251565,255038,258528,262078,265570,269100,272766,276556,280387,284173,288058,291913,295850,299845,303852,307929,312137,316373,320765,325067,329530,334063,338527,343209,347835,352555,357319,362154,367027,372072,377053,382271,387449,392703,397966,403490,408941,414442,420047,425670,431448,437332,443304,449307,455521,461552,467758,473972,480187,486449,492849,499324,505914,512467,519143,526019,533081,540042,547257,554644,562023,569468,577113,584700,592650,600609,608912,617118,625244,633572,642037,650706,659350,668191,677191,686127,695336,704581,713884,723337,732666
1,1,2,2,3,3,4,8,9,13,13,13,14,16,16,17,20,21,22,24,28,33,40,43,46,50,54,55,58,63,63,64,64,64,64,65,66,69,72,78,81,83,86,89,95,98,103,105,107,111,118,121,125,129,137,150,161,169,176,184,191,200,206,219,232,243,256,265,274,289,300,313,327,338,356,373,390,411,431,449,474,501,530,548,572,599,625,657,682,715,748,778,801,829,862,876,908,929,956,985,1021,1057,1094,1117,1146,1164,1200,1229,1256,1284,1301,1326,1360,1396,1436,1477,1510,1547,1598,1643,1693,1729,1763,1808,1855,1912,1967,2015,2076,2130,2177,2245,2297,2365,2413,2460,2522,2579,2634,2700,2764,2806,2870,2933,2997,3057,3126,3188,3257,3317,3412,3492,3576,3657,3725,3799,3844,3916,4006,4089,4169,4260,4341,4408,4504,4573,4646,4736,4828,4907,4980,5066,5140,5229,5309,5382,5454,5544,5656,5739,5829,5919,6041,6167,6269,6395,6496,6598,6707,6808,6929,7030,7165,7279,7420,7551,7682,7802,7936,8079,8202,8330,8455,8589,8733,8859,9008,9158,9309,9452,9597,9761,9903,10064,10242,10401,10571,10746,10917,11075,11238,11421,11612,11819,11983,12168,12353,12554,12776,13002,13212,13439,13660,13900,14109,14355,14612,14861,15112,15394,15659,15929,16219,16492,16754,17024,17309,17575,17909,18205,18460,18739,19038,19379,19658,19937,20240,20539,20896,21247,21579,21869,22153,22485,22826,23160,23475,23812,24121,24450,24794,25109,25504,25895,26254,26621,26991,27331,27706,28069,28469,28873,29230,29634,30052,30489,30894,31347,31769,32198,32632,33082,33528,34000,34464,34911,35356,35803,36243,36719,37179,37672,38154,38653,39134,39646,40138,40642,41117,41629,42125,42632,43175,43753,44303,44817,45402,45923,46504,47118,47733,48332,48902,49551,50124,50756,51423,52059,52670,53283,53923,54567,55291,55989,56684,57417,58134,58827,59565,60342,61110,61943,62769,63553,64350,65192,66040,66925,67856,68756,69759,70665,71592,72560,73519,74485,75488,76529,77624,78685,79763,80853,81922,83007,84151,85314,86487,87636,88836,89984,91227,92460,93653,94943,96150,97434,98734,100105,101477,102855,104330,105713,107190,108593,110101,111629,113195,114775,116450,118057,119640,121328,123025,124710,126485,128244,130058,131931,133804,135795,137796,139788,141778,143816,145877,147997,150142,152282,154525,156704,158881,161216,163513,165945,168382,170804,173299,175814,178319,180858,183367,185935,188612,191291,193931,196667,199364,202157,205033,207781,210592,213524,216334,219278,222166,225100,228143,231267,234355,237501,240618,243824,247144,250439,253861,257231,260708,264154,267676,271254,274865,278531,282293,286035,289876,293748,297721,301691,305743,309909,314005,318318,322594,326965,331465,336037,340809,345400,350132,354764,359616,364668,369602,374627,379767,385061,390283,395520,401037,406506,411996,417528,423117,428878,434729,440507,446529,452499,458624,464856,471082,477414,483722,490169,496787,503443,510042
1,1,1,1,3,4,4,6,9,13,15,17,20,26,31,36,40,46,50,55,58,71,76,83,97,104,119,127,135,146,158,169,187,198,212,225,235,248,266,288,315,332,345,365,382,401,417,442,472,497,522,539,561,585,609,634,662,685,714,737,756,789,818,857,891,919,942,966,997,1019,1046,1085,1118,1143,1174,1201,1229,1255,1277,1309,1343,1378,1413,1450,1478,1516,1551,1581,1623,1660,1693,1727,1760,1804,1846,1886,1926,1960,2000,2045,2093,2147,2196,2236,2283,2330,2392,2446,2517,2583,2645,2698,2769,2821,2877,2937,2999,3052,3128,3186,3262,3347,3439,3518,3620,3694,3784,3880,3977,4083,4189,4301,4423,4513,4634,4773,4899,5005,5144,5264,5367,5489,5630,5745,5875,6012,6147,6300,6429,6564,6704,6856,7007,7171,7329,7494,7650,7798,7943,8105,8247,8408,8558,8718,8878,9027,9177,9345,9474,9651,9787,9946,10100,10305,10450,10638,10816,10984,11138,11330,11523,11710,11880,12074,12265,12459,12676,12887,13112,13326,13551,13789,14046,14311,14552,14829,15132,15408,15682,15979,16277,16605,16922,17242,17611,17928,18279,18620,18966,19311,19681,20051,20418,20813,21235,21622,22031,22460,22880,23328,23761,24205,24697,25206,25701,26218,26768,27304,27825,28357,28889,29462,30070,30642,31256,31894,32512,33168,33821,34509,35194,35826,36509,37239,37972,38666,39357,40085,40773,41535,42312,43092,43911,44732,45519,46330,47183,48041,48880,49777,50651,51522,52519,53456,54389,55341,56327,57344,58386,59416,60454,61463,62571,63636,64685,65831,66964,68130,69272,70405,71554,72788,74031,75294,76550,77814,79114,80530,81914,83347,84835,86300,87868,89408,90953,92542,94228,95839,97570,99202,100927,102654,104455,106407,108250,110081,111972,113810,115717,117640,119576,121680,123692,125767,127861,130002,132213,134369,136529,138737,140977,143285,145639,147970,150360,152749,155158,157650,160141,162727,165221,167861,170514,173227,176032,178899,181770,184687,187616,190706,193735,196837,200043,203106,206148,209406,212690,216086,219379,222828,226210,229718,233378,237070,240633,244409,248115,251812,255594,259439,263471,267410,271553,275672,279806,284063,288273,292617,297055,301502,305955,310494,315102,319667,324238,329004,333746,338668,343601,348605,353777,358884,363953,369242,374522,379973,385407,391036,396601,402291,408149,413960,419836,425915,432096,438135,444320,450574,457045,463483,469998,476619,483292,490206,497143,504061,511154,518238,525545,532971,540447,548120,555921,563640,571565,579495,587572,595653,603985,612312,620740,629385,638240,647193,656194,665343,674679,683906,693311,702953,712777,722681,732462,742332,752384,762618,773108,783648,794498,805344,816208,827072,838284,849291,860603,872005,883388,894762,906414,918228,930104,942124,954182,966116,978411,990770,1003306,1015820,1028542,1041409,1054353,1067330,1080534,1093868,1107289,1120750,1134529,1148705,1162898,1177131,1191533,1206135,1220795,1235466,1250213,1265287,1280557,1295575,1311039,1326706,1342325,1358106,1374245,1390286,1406560,1423088,1439758,1456504,1473409,1490643,1507828,1525369,1543068,1561024,1579058,1597244,1615672
1,1,1,1,2,3,4,6,8,9,10,10,10,11,11,12,12,14,14,15,16,17,17,21,21,24,24,26,31,32,34,38,42,48,52,59,64,72,79,84,91,95,104,111,118,130,137,148,155,170,181,188,202,210,222,235,247,261,275,289,299,311,324,342,362,380,404,427,456,485,514,531,565,599,637,670,714,747,786,825,858,898,935,961,1000,1033,1081,1116,1161,1214,1249,1279,1310,1346,1390,1428,1458,1492,1530,1559,1598,1642,1678,1721,1762,1793,1842,1889,1937,1978,2026,2073,2126,2178,2223,2279,2323,2380,2437,2490,2547,2599,2661,2733,2793,2866,2941,3008,3095,3151,3202,3270,3339,3413,3507,3587,3663,3736,3817,3908,3975,4071,4144,4236,4316,4419,4519,4611,4702,4786,4905,5014,5126,5220,5322,5428,5541,5643,5762,5870,5979,6085,6193,6302,6410,6535,6649,6791,6938,7056,7205,7342,7471,7604,7756,7898,8051,8202,8359,8521,8672,8843,9005,9147,9310,9486,9639,9817,9994,10175,10363,10545,10738,10933,11107,11284,11468,11669,11846,12048,12242,12448,12640,12875,13088,13302,13523,13763,14022,14271,14513,14756,14995,15258,15516,15806,16098,16411,16705,17034,17334,17630,17957,18222,18528,18866,19181,19515,19859,20188,20580,20932,21296,21678,22061,22438,22793,23205,23601,24016,24412,24830,25287,25723,26210,26646,27085,27567,28060,28529,28966,29442,29943,30406,30871,31366,31801,32319,32795,33333,33853,34405,34962,35483,36058,36603,37228,37837,38458,39068,39654,40285,40905,41554,42140,42747,43470,44130,44766,45457,46186,46872,47560,48262,49004,49702,50409,51172,51890,52698,53436,54163,54960,55733,56568,57331,58150,59006,59810,60627,61445,62299,63146,64035,64844,65758,66676,67526,68422,69347,70295,71209,72213,73186,74211,75229,76251,77364,78381,79489,80616,81725,82876,84026,85136,86280,87503,88752,89993,91224,92457,93688,95007,96274,97573,98894,100261,101624,102941,104388,105795,107255,108707,110115,111667,113165,114733,116303,117852,119450,121083,122718,124389,126137,127886,129608,131384,133215,135019,136836,138684,140603,142508,144404,146294,148328,150454,152454,154490,156614,158696,160924,163158,165323,167597,169830,172113,174453,176867,179247,181632,184101,186677,189232,191834,194416,197058,199666,202328,205000,207760,210474,213335,216232,219130,222116,225086,228106,231228,234464,237697,240915,244141,247369,250763,254028,257395,260823,264267,267814,271358,274946,278598,282478,286318,290127,294026,297925,301973,305976,310129,314248,318468,322628,326905,331229,335589,340095,344573,349197,353847,358565,363255,368025,372791,377784,382830,387819,392907,398138,403399,408790,414306,419908,425517,431254,436870,442641,448511,454599,460733,466886,473225,479502,485976,492493,499093,505743,512420,519172,526151,533223,540371,547813,555261,562773,570324,577858,585846,593676,601703,609893,618282,626699,635040,643522,652082,660874,669710,678621,687604,696991,706496,715880,725485,735173,745063,755003,764870,774908,785168,795624,806274,817019,827767,838694,849630
1,1,1,1,2,2,3,4,5,7,8,8,8,8,8,9,9,9,11,14,16,19,21,22,22,22,22,25,30,31,36,40,42,53,57,60,69,79,91,103,113,122,129,148,157,165,172,182,190,200,211,220,227,234,240,243,244,248,255,261,268,276,283,295,306,316,327,344,353,363,375,389,399,411,428,448,470,485,501,512,531,549,568,588,605,621,643,673,703,735,756,779,805,827,845,864,887,906,934,952,977,1000,1015,1038,1058,1079,1101,1127,1150,1171,1195,1222,1243,1255,1278,1295,1322,1355,1371,1398,1421,1450,1485,1508,1540,1576,1610,1647,1683,1716,1744,1777,1810,1844,1874,1909,1952,1983,2021,2055,2094,2125,2180,2230,2271,2321,2383,2427,2485,2542,2604,2667,2732,2800,2856,2922,2980,3037,3100,3158,3226,3290,3356,3417,3471,3531,3605,3672,3727,3791,3851,3916,3978,4026,4098,4146,4203,4268,4326,4386,4445,4512,4575,4636,4712,4792,4861,4927,5005,5081,5145,5226,5300,5382,5465,5530,5622,5696,5781,5871,5953,6036,6114,6192,6293,6371,6438,6519,6593,6675,6750,6834,6919,7009,7115,7220,7309,7396,7471,7552,7623,7730,7819,7931,8020,8120,8220,8312,8417,8528,8636,8732,8863,8970,9099,9212,9336,9444,9575,9710,9843,9982,10110,10233,10368,10539,10682,10820,10966,11127,11283,11439,11587,11732,11873,12011,12171,12331,12482,12646,12800,12926,13055,13197,13339,13470,13617,13762,13923,14093,14240,14391,14570,14732,14894,15042,15195,15379,15528,15703,15888,16056,16235,16428,16599,16787,16958,17166,17358,17564,17736,17944,18171,18379,18602,18809,19002,19186,19392,19600,19837,20074,20295,20533,20772,20999,21225,21451,21701,21953,22214,22469,22736,22991,23251,23495,23732,24030,24274,24564,24809,25073,25318,25585,25872,26121,26407,26681,26945,27234,27522,27858,28179,28461,28797,29095,29418,29777,30106,30418,30728,31038,31363,31685,32045,32372,32719,33037,33357,33675,33998,34347,34679,35016,35347,35673,36009,36365,36701,37034,37380,37758,38094,38463,38819,39198,39590,39950,40304,40711,41101,41522,41916,42374,42782,43213,43646,44097,44560,44981,45459,45900,46422,46868,47350,47831,48353,48879,49383,49904,50440,50960,51514,52031,52613,53195,53771,54324,54912,55503,56126,56704,57313,57922,58557,59213,59871,60529,61184,61846,62572,63251,63967,64708,65415,66119,66874,67686,68524,69381,70249,71115,72005,72918,73859,74820,75731,76693,77736,78802,79851,80904,82010,83129,84240,85394,86524,87702,88945,90155,91415,92692,93959,95333,96665,97933,99268,100689,102071,103463,104925,106414,107989,109515,111099,112668,114216,115890,117598,119329,121081,122778,124660,126530,128349,130193,132065,133932,135940,137917,139970,142042,144112,146196,148308,150402,152550,154780,156936,159177,161512,163753,165964,168263,170597,172936,175361,177757,180220,182701,185266,187819,190490,193041,195686,198395,201120
1,1,1,3,4,6,12,13,15,18,21,21,23,25,29,36,41,45,51,58,67,75,85,90,99,113,121,129,134,139,148,154,164,174,184,194,201,207,213,218,223,228,238,244,250,258,264,269,272,275,287,296,299,302,309,313,323,329,338,345,357,364,372,387,411,428,443,456,461,478,489,509,529,544,571,590,614,647,672,701,730,747,784,807,836,858,882,914,943,966,995,1022,1058,1090,1117,1149,1168,1199,1218,1250,1266,1284,1310,1337,1360,1394,1427,1456,1490,1535,1561,1597,1627,1657,1703,1752,1785,1836,1888,1920,1951,1992,2035,2084,2130,2164,2204,2243,2280,2336,2385,2419,2457,2512,2546,2592,2641,2690,2729,2781,2824,2893,2941,2987,3031,3072,3136,3194,3251,3299,3353,3405,3458,3516,3583,3650,3723,3800,3875,3943,4006,4070,4148,4227,4300,4389,4453,4530,4617,4703,4776,4858,4952,5047,5141,5237,5320,5395,5487,5580,5673,5776,5903,5995,6111,6214,6302,6390,6495,6608,6711,6820,6962,7075,7179,7309,7417,7525,7644,7780,7900,8008,8129,8229,8345,8461,8582,8710,8859,8983,9106,9250,9377,9528,9682,9815,9965,10148,10292,10440,10632,10807,10973,11150,11302,11470,11681,11867,12051,12259,12465,12669,12893,13125,13356,13569,13793,13998,14211,14441,14678,14907,15148,15427,15664,15935,16185,16429,16679,16918,17175,17435,17692,17967,18228,18542,18784,19046,19307,19569,19834,20097,20372,20633,20930,21181,21441,21730,22015,22316,22601,22898,23177,23481,23774,24059,24361,24694,25013,25364,25677,26003,26356,26712,27052,27409,27795,28129,28515,28906,29302,29673,30087,30512,30921,31362,31782,32202,32621,33033,33450,33851,34254,34732,35193,35656,36116,36569,37028,37470,37944,38436,38959,39455,39998,40534,40995,41512,42044,42589,43137,43702,44264,44773,45331,45926,46523,47180,47844,48469,49128,49761,50432,51101,51736,52458,53135,53789,54448,55184,55875,56581,57363,58082,58824,59578,60340,61104,61903,62746,63560,64383,65211,66025,66887,67748,68614,69522,70498,71444,72365,73274,74199,75198,76150,77165,78152,79171,80278,81339,82431,83518,84593,85624,86706,87757,88883,90053,91232,92490,93676,94958,96167,97497,98856,100170,101515,102912,104262,105655,107133,108624,110114,111674,113262,114845,116486,118105,119738,121354,123057,124791,126509,128258,130070,131983,133813,135719,137629,139489,141348,143292,145268,147196,149099,151062,153137,155197,157266,159400,161555,163753,165919,168080,170388,172627,174909,177262,179627,181964,184403,186815,189334,191853,194333,196817,199361,201941,204552,207263,209956,212724,215535,218353,221239,224198,227117,230096,233200,236227,239312,242455,245711,248984,252262,255758,259256,262792,266402,270088,273769,277514,281349,285288,289294,293396,297483,301640,305789,309983,314225,318555,322822,327129,331597,336062,340568,345225,349904,354663,359498,364319,369235,374320,379605,384847,390085,395396,400847,406303,411785,417289,422930,428757,434546,440374,446385
1,1,1,1,2,4,4,6,8,10,15,16,18,21,25,30,32,36,40,47,52,59,68,75,78,87,99,108,111,117,128,138,151,157,160,166,172,185,198,205,210,218,222,231,237,243,248,255,257,267,280,284,290,304,313,318,328,344,349,358,368,380,391,403,415,431,454,474,489,501,529,552,580,604,625,649,682,717,756,794,821,843,872,895,929,960,995,1032,1058,1095,1130,1165,1197,1239,1263,1290,1320,1353,1383,1415,1456,1500,1525,1552,1600,1648,1689,1721,1765,1796,1845,1904,1944,1993,2050,2100,2140,2201,2250,2293,2349,2405,2461,2526,2590,2648,2726,2812,2906,2979,3059,3143,3226,3318,3407,3503,3584,3697,3804,3902,4004,4100,4215,4328,4429,4518,4628,4719,4828,4949,5043,5152,5280,5370,5465,5597,5705,5818,5945,6049,6173,6269,6387,6495,6602,6703,6826,6935,7047,7138,7239,7346,7451,7570,7662,7767,7852,7949,8077,8193,8304,8405,8513,8644,8763,8898,9022,9135,9283,9441,9598,9766,9926,10085,10244,10403,10567,10716,10925,11097,11305,11496,11699,11914,12113,12312,12514,12703,12902,13084,13276,13490,13676,13865,14064,14253,14435,14612,14819,15030,15246,15474,15695,15905,16137,16378,16623,16836,17063,17312,17567,17843,18125,18398,18690,19003,19315,19598,19902,20241,20601,20948,21321,21710,22061,22448,22870,23291,23703,24139,24567,24978,25390,25813,26267,26718,27179,27669,28210,28676,29151,29617,30138,30638,31114,31651,32157,32699,33274,33877,34467,35041,35602,36179,36787,37355,38010,38633,39241,39873,40505,41226,41941,42628,43374,44135,44910,45688,46510,47352,48191,49079,49985,50873,51844,52830,53775,54721,55719,56690,57668,58724,59737,60748,61820,62881,64048,65170,66284,67434,68606,69750,70896,72088,73420,74703,75979,77289,78575,79904,81326,82705,84080,85513,86924,88450,89955,91471,92961,94610,96252,97822,99396,101006,102664,104289,106037,107810,109537,111376,113170,114989,116843,118668,120568,122451,124391,126355,128262,130334,132358,134403,136489,138521,140671,142890,145146,147393,149663,151958,154252,156647,159017,161456,163914,166439,168894,171463,174110,176769,179470,182196,184984,187787,190668,193573,196479,199462,202561,205633,208869,212140,215399,218514,221824,225255,228597,231937,235509,239156,242673,246463,250283,254085,257980,261858,265885,270041,274085,278276,282588,286936,291162,295511,299890,304378,308896,313536,318268,323136,327952,332957,337779,342704,347878,352934,358279,363745,369099,374493,380055,385608,391300,396976,402863,409158,415353,421549,427838,433969,440364,446965,453667,460514,467398,474316,481316,488603,495841,503241,510589,518230,525853,533487,541386,549305,557485,565703,573850,582322,590930,599609,608386,617327,626361,635449,644559,653870,663213,672755,682381,692244,702112,711993,722154,732454,743048,753491,763838,774509,785249,796276,807213,818303,829400,840739,852226,863823,875752,887605,899594,911956,924416,936778,949388,961974,974803,987805,1000982,1014142,1027730,1041231,1055105,1069068,1083319,1097565,1112014
1,1,1,1,1,2,2,4,6,7,8,11,11,11,12,16,16,17,17,19,19,21,27,35,40,42,48,51,59,73,80,92,104,116,127,144,160,176,192,216,244,263,291,315,338,368,397,421,446,467,501,524,559,594,620,649,683,721,749,785,811,850,884,920,952,1002,1032,1065,1089,1117,1153,1194,1233,1288,1323,1363,1401,1446,1491,1530,1561,1592,1631,1668,1691,1732,1773,1815,1858,1895,1933,1991,2037,2075,2115,2148,2193,2236,2273,2324,2377,2422,2473,2522,2564,2603,2643,2690,2741,2793,2852,2896,2949,2994,3047,3105,3160,3211,3252,3301,3341,3376,3411,3456,3511,3570,3625,3689,3742,3809,3886,3953,4034,4102,4187,4276,4355,4440,4527,4632,4732,4825,4934,5038,5126,5210,5305,5395,5498,5613,5739,5862,5975,6089,6217,6336,6456,6590,6728,6837,6946,7082,7219,7363,7504,7629,7765,7923,8065,8235,8402,8592,8776,8951,9136,9329,9514,9717,9903,10104,10296,10499,10700,10930,11151,11395,11635,11868,12119,12331,12568,12824,13088,13323,13590,13844,14100,14375,14653,14936,15240,15511,15805,16127,16383,16699,16965,17279,17610,17938,18222,18538,18844,19160,19465,19792,20150,20523,20882,21210,21560,21972,22334,22685,23071,23471,23831,24240,24664,25098,25523,25989,26426,26874,27338,27771,28219,28682,29142,29637,30111,30628,31155,31665,32232,32796,33389,33996,34615,35233,35838,36471,37126,37761,38397,39067,39743,40382,41057,41740,42460,43122,43826,44567,45269,46023,46741,47424,48131,48842,49576,50262,51009,51754,52509,53303,54164,55013,55823,56708,57604,58484,59370,60293,61174,62058,62980,63865,64817,65764,66725,67685,68693,69693,70747,71830,72875,73996,75124,76226,77384,78526,79688,80879,82084,83288,84527,85819,87185,88415,89747,91090,92390,93816,95284,96702,98190,99656,101133,102621,104212,105764,107340,108976,110718,112472,114152,115885,117683,119565,121397,123371,125325,127271,129257,131221,133333,135381,137501,139599,141927,144140,146366,148631,150908,153296,155687,158165,160626,163051,165592,168057,170630,173177,175933,178693,181411,184204,186982,189848,192784,195751,198639,201664,204745,207787,210887,214036,217279,220492,223802,227056,230399,233828,237273,240666,244097,247672,251185,254767,258346,262023,265777,269527,273368,277165,281283,285457,289624,293819,298015,302355,306604,310942,315264,319656,324115,328667,333400,338180,342922,347737,352579,357511,362442,367493,372588,377927,383322,388740,394101,399678,405277,411065,416707,422567,428393,434292,440061,446131,452299,458756,465144,471649,478161,484839,491653,498501,505547,512442,519602,526680,533870,541293,548532,556134,563974,571780,579682,587701,595767,603888,612175,620403,628932,637398,646101,654877,663814,672792,681936,691219,700292,709720,719282,728935,738671,748662,758764,768908,779165,789357,799865,810461,821103,831954,843050,854107,865335,876802,888261,899951,911739,923624,935791,948205,960939,973444,986039,999045,1012082,1025428,1038737,1052301,1066072,1079834,1093796,1107968,1122426,1136786,1151495,1166285,1181251,1196470,1211710,1227114,1242665
1,1,1,1,1,1,1,3,4,7,8,9,14,17,22,25,29,32,39,44,49,52,61,68,76,87,91,96,102,116,127,135,147,154,162,170,181,192,204,218,223,243,258,267,281,292,309,331,338,355,372,402,427,449,470,495,528,558,588,618,644,668,708,748,777,806,840,881,918,946,985,1033,1076,1106,1145,1181,1226,1271,1308,1343,1381,1419,1472,1516,1569,1621,1685,1732,1800,1854,1915,1973,2029,2082,2156,2237,2318,2403,2474,2557,2637,2722,2802,2883,2969,3039,3132,3215,3302,3402,3496,3596,3702,3812,3909,3999,4109,4210,4318,4450,4548,4644,4771,4889,4993,5111,5251,5363,5499,5648,5800,5939,6073,6209,6341,6490,6621,6770,6898,7048,7200,7349,7496,7642,7796,7972,8131,8281,8421,8580,8771,8978,9174,9391,9579,9764,9954,10177,10389,10614,10845,11053,11264,11494,11737,11981,12232,12488,12734,12951,13156,13398,13632,13901,14162,14397,14649,14864,15099,15355,15624,15891,16124,16408,16671,16940,17183,17451,17748,18011,18245,18520,18789,19055,19325,19596,19856,20112,20409,20718,20999,21294,21587,21880,22202,22499,22781,23104,23395,23726,24023,24345,24699,25017,25335,25675,25981,26307,26657,27019,27324,27681,28007,28337,28682,29031,29371,29730,30053,30381,30744,31099,31458,31833,32216,32539,32900,33293,33634,34013,34374,34782,35193,35641,36048,36451,36866,37304,37773,38230,38669,39166,39650,40124,40631,41153,41692,42277,42796,43382,43973,44538,45118,45701,46282,46917,47625,48326,48972,49718,50466,51191,51920,52696,53483,54288,55064,55828,56674,57531,58386,59192,60096,61003,61901,62793,63749,64690,65684,66685,67672,68655,69696,70727,71776,72861,73939,75000,76095,77209,78357,79527,80706,81880,83122,84408,85692,86932,88179,89428,90726,92018,93404,94796,96174,97570,98975,100368,101812,103313,104870,106413,108024,109636,111258,112865,114449,116087,117743,119450,121227,122966,124719,126556,128394,130275,132187,134112,136013,137905,139848,141895,143911,145877,147958,150044,152172,154355,156570,158832,161075,163370,165629,167882,170178,172545,174970,177446,179986,182549,185040,187597,190166,192842,195542,198197,200953,203606,206337,209179,211946,214786,217794,220588,223567,226642,229698,232809,235984,239204,242454,245768,249006,252333,255685,259184,262662,266216,269750,273338,276992,280674,284490,288375,292235,296170,300235,304274,308312,312487,316676,320988,325384,329832,334255,338775,343388,348021,352876,357738,362614,367476,372421,377458,382399,387589,392782,398018,403454,409027,414483,419979,425618,431316,437028,442731,448645,454607,460564,466481,472457,478616,484532,490824,497258,503618,510277,516826,523552,530235,537076,544212,551410,558650,565927,573385,580789,588425,596115,604025,612078,620257,628227,636510,644894,653365,662049,670711,679570,688480,697596,706863,716056,725427,734781,744430,754188,764086,774191,784430,794590,805039,815471,826246,837236,848379,859578,871025,882418,894084,905842,917825,929972,941920,954164,966562,979120,991768,1004655,1017689,1030760,1044009,1057501,1070903,1084437,1098287,1112087
1,1,1,1,2,3,4,4,6,11,12,13,15,17,19,23,26,30,36,40,46,49,52,55,57,61,74,88,96,105,111,119,128,135,143,149,154,163,174,184,190,194,199,204,208,214,223,228,234,247,249,253,259,268,274,276,280,286,294,299,305,313,322,333,337,349,358,367,384,404,422,433,450,468,493,511,541,566,587,609,645,673,698,719,749,780,807,836,864,884,913,944,971,1000,1020,1050,1081,1094,1118,1148,1177,1209,1249,1281,1337,1370,1411,1450,1499,1549,1599,1648,1699,1764,1820,1875,1924,1993,2056,2114,2184,2250,2319,2373,2445,2510,2581,2659,2719,2802,2874,2952,3041,3109,3182,3252,3333,3413,3480,3558,3630,3708,3782,3860,3932,4013,4082,4153,4242,4318,4398,4480,4561,4647,4745,4842,4930,5017,5115,5219,5337,5434,5552,5660,5785,5895,6018,6131,6237,6367,6498,6624,6761,6874,6983,7120,7259,7413,7541,7708,7849,7993,8133,8276,8425,8576,8716,8861,9024,9199,9358,9526,9702,9898,10073,10276,10471,10646,10848,11063,11256,11481,11700,11895,12114,12325,12537,12742,12963,13157,13382,13587,13770,13981,14200,14426,14618,14834,15042,15274,15470,15689,15928,16155,16381,16653,16903,17107,17371,17603,17863,18105,18371,18635,18918,19193,19466,19779,20091,20372,20688,20995,21322,21664,21972,22306,22645,22984,23327,23663,24007,24356,24708,25058,25410,25787,26178,26548,26977,27349,27746,28138,28570,29028,29480,29927,30406,30854,31305,31809,32296,32771,33271,33772,34267,34803,35318,35859,36409,36964,37530,38059,38569,39151,39668,40256,40833,41395,41975,42583,43221,43840,44425,45034,45640,46259,46922,47575,48230,48856,49515,50176,50869,51520,52138,52839,53507,54191,54867,55561,56253,56936,57630,58370,59161,59882,60671,61457,62230,63021,63830,64619,65435,66216,67089,67888,68787,69683,70562,71459,72340,73393,74354,75399,76428,77389,78350,79419,80498,81595,82674,83811,84931,86130,87318,88496,89705,90978,92277,93515,94804,96157,97499,98859,100222,101561,103008,104519,106050,107547,109037,110559,112042,113538,115130,116689,118213,119819,121433,123064,124665,126224,127919,129586,131205,132925,134659,136441,138180,139982,141765,143495,145260,147114,148916,150812,152727,154612,156483,158367,160364,162338,164365,166453,168537,170622,172816,175025,177286,179673,181977,184442,186759,189350,191843,194398,197031,199757,202518,205480,208265,211218,214191,217188,220284,223324,226447,229633,232866,236080,239368,242742,246134,249545,252977,256433,259947,263583,267202,270822,274489,278134,281832,285563,289428,293193,297260,301091,305195,309097,313149,317296,321501,325725,330048,334509,338940,343561,348164,352793,357459,362196,367005,371838,376834,381886,387042,392242,397347,402526,407971,413452,418823,424144,429539,435025,440670,446334,452235,458080,463857,469749,475750,481780,487912,494051,500402,506876,513261,519815,526467,533214,540045,547115,554009,561057,568389,575578,583013,590666,598307,606192,613935,621872,630043,638153,646230
1,1,1,1,2,2,4,5,10,12,15,16,21,24,32,37,43,50,54,60,66,71,77,89,97,102,119,127,138,155,165,174,183,189,204,218,227,242,256,270,283,294,301,315,328,349,362,377,396,414,438,461,478,505,533,554,590,612,635,674,710,750,784,828,868,902,941,978,1020,1059,1104,1149,1206,1254,1294,1357,1407,1458,1514,1553,1618,1672,1741,1806,1886,1961,2032,2106,2187,2276,2363,2466,2569,2647,2756,2851,2955,3083,3183,3294,3391,3498,3607,3723,3849,3973,4116,4269,4413,4550,4707,4850,5016,5165,5329,5495,5645,5804,5955,6131,6291,6460,6642,6824,6990,7169,7342,7513,7677,7877,8037,8207,8389,8562,8750,8918,9109,9278,9460,9652,9845,10055,10247,10459,10658,10858,11071,11295,11518,11745,11972,12220,12473,12736,13007,13268,13508,13787,14081,14376,14682,14993,15289,15595,15907,16252,16582,16906,17229,17600,17924,18281,18631,19031,19370,19732,20165,20588,20997,21415,21829,22277,22721,23195,23690,24165,24627,25084,25570,26087,26622,27206,27753,28281,28874,29450,30029,30599,31226,31817,32398,33046,33700,34349,35011,35716,36404,37131,37823,38558,39315,40051,40834,41646,42421,43291,44137,44947,45817,46664,47512,48340,49206,50097,50994,51926,52957,53937,54903,55884,56877,57917,58981,60087,61186,62289,63473,64635,65799,67003,68225,69479,70677,71962,73261,74597,76005,77370,78867,80317,81800,83319,84842,86326,87917,89517,91146,92803,94598,96439,98228,100040,101894,103789,105710,107579,109519,111596,113707,115799,117951,120126,122303,124574,126797,129034,131340,133761,136110,138460,140848,143231,145731,148276,150761,153343,155893,158501,161188,163931,166577,169468,172165,175016,177993,180829,183714,186830,189958,193095,196350,199568,202872,206179,209473,212809,216199,219729,223138,226703,230317,234097,237817,241611,245552,249323,253218,257137,261236,265296,269646,273842,278120,282330,286653,291107,295669,300355,305071,309697,314565,319408,324406,329365,334429,339616,344667,349909,355279,360666,366168,371741,377449,383233,389136,395080,400915,406967,413156,419409,425758,432236,438736,445188,451775,458309,464928,471870,478789,485698,492847,500016,507254,514570,521955,529581,537319,545063,552951,560866,568897,577074,585298,593690,602107,610690,619343,628137,636857,645764,654995,664161,673680,683194,692970,702690,712399,722432,732428,742501,752688,763141,773610,784269,794859,805857,816836,827996,839342,850657,862217,873803,885425,897483,909613,921638,933943,946290,958972,971644,984445,997344,1010512,1023976,1037651,1051416,1065250,1079378,1093697,1108135,1122787,1137505,1152410,1167352,1182697,1198146,1213858,1229869,1245847,1262103,1278182,1294756,1311496,1328249,1345257,1362675,1380204,1397991,1415693,1433480,1451824,1470197,1489074,1508029,1527109,1546546,1565971,1585752,1605876,1626035,1646420,1667148,1687800,1708597,1729934,1751463,1773079,1794873,1817245,1839484,1862289,1885042,1908243,1931518,1955098,1978889,2003011,2027358,2051800,2076523,2101334,2126319,2151769,2177287,2203041,2229251,2255451,2281980,2308798,2335566,2362907,2390115,2417441,2445213,2473045,2501201,2529683,2558434,2587585,2616828,2646060,2675558,2705444,2735427,2765670,2795929,2826667
1,1,1,1,1,1,3,6,7,7,9,13,17,20,25,27,34,39,46,55,57,66,73,81,91,97,102,110,117,123,129,136,147,159,170,176,183,196,207,220,230,239,247,264,278,296,313,326,344,355,375,392,406,429,455,473,501,521,548,565,591,621,648,689,724,757,791,822,863,896,931,961,1003,1046,1078,1116,1162,1210,1263,1303,1354,1391,1438,1485,1536,1590,1635,1686,1741,1794,1844,1892,1936,1988,2044,2102,2144,2196,2248,2312,2356,2418,2470,2538,2600,2660,2709,2760,2809,2841,2898,2954,2994,3044,3087,3135,3175,3221,3275,3315,3360,3414,3454,3494,3543,3590,3639,3688,3723,3760,3808,3848,3899,3957,4006,4041,4096,4150,4220,4277,4329,4410,4470,4518,4583,4654,4722,4803,4875,4961,5050,5130,5227,5318,5423,5516,5612,5690,5807,5910,6029,6150,6282,6398,6537,6684,6805,6939,7085,7232,7370,7494,7642,7796,7967,8117,8258,8407,8553,8692,8838,8985,9142,9298,9480,9662,9832,9985,10160,10353,10515,10676,10848,11041,11222,11427,11627,11847,12078,12313,12540,12788,13048,13288,13567,13841,14102,14378,14665,14961,15279,15580,15871,16163,16483,16786,17136,17446,17775,18097,18422,18774,19120,19462,19788,20138,20488,20815,21158,21459,21786,22130,22470,22832,23186,23536,23877,24229,24631,25006,25400,25808,26208,26615,27035,27475,27896,28328,28807,29252,29762,30261,30759,31232,31784,32306,32862,33420,33981,34519,35075,35671,36278,36880,37486,38124,38768,39425,40035,40692,41364,42039,42719,43435,44134,44838,45492,46214,46938,47740,48519,49246,49969,50694,51409,52185,52977,53715,54482,55247,56085,56903,57730,58586,59474,60373,61265,62153,63063,64009,64917,65865,66858,67788,68735,69722,70748,71808,72904,74008,75125,76228,77351,78489,79579,80704,81879,83083,84351,85601,86881,88266,89566,90909,92239,93595,95017,96421,97789,99187,100637,102083,103513,105027,106534,108118,109614,111183,112811,114363,115973,117628,119314,120984,122656,124376,126111,127756,129517,131218,133063,134841,136750,138714,140641,142563,144559,146531,148436,150371,152475,154573,156699,158809,160969,163129,165349,167521,169781,172106,174359,176564,178884,181174,183557,185939,188425,190894,193469,195982,198574,201185,203787,206540,209115,211859,214646,217398,220276,223128,225997,228880,231798,234814,237890,241051,244224,247389,250656,253876,257132,260338,263560,266888,270357,273708,277246,280911,284405,287994,291627,295213,298945,302734,306587,310493,314426,318497,322541,326768,331104,335351,339532,344005,348601,353330,357767,362501,367377,372314,377341,382312,387381,392484,397655,402774,408128,413536,418981,424634,430160,435862,441509,447181,453057,459040,465078,471224,477274,483551,489752,496164,502508,508913,515440,522106,528935,535855,542672,549702,556652,563706,570958,578237,585401,592882,600217,607579,615290,622986,630663,638304,646384,654449,662595,670841,679165,687588,696023,704629,713303,722050,730899,739873,748936,758114,767361,776795,786227,795751,805499,815147,825148,835150,845187,855368,865827
1,1,1,3,4,6,7,8,8,8,10,17,22,23,24,30,33,42,48,54,56,69,79,84,89,102,105,114,123,132,141,154,167,176,190,200,206,216,226,243,258,271,293,307,324,342,354,378,405,441,466,490,514,544,563,594,622,647,684,711,738,777,822,856,886,914,949,980,1010,1036,1065,1105,1133,1163,1192,1223,1259,1293,1318,1357,1394,1422,1472,1512,1547,1590,1621,1672,1716,1770,1816,1858,1904,1949,2002,2051,2106,2156,2203,2251,2312,2363,2413,2466,2516,2563,2636,2700,2760,2819,2898,2956,3018,3091,3153,3212,3280,3353,3434,3501,3586,3661,3738,3827,3906,3978,4066,4145,4222,4312,4394,4484,4565,4631,4733,4812,4895,4981,5061,5158,5279,5375,5471,5583,5686,5772,5873,5964,6050,6143,6252,6360,6476,6589,6705,6825,6939,7039,7148,7263,7383,7504,7622,7756,7907,8035,8174,8299,8413,8556,8671,8811,8972,9080,9212,9356,9487,9613,9755,9872,10024,10143,10279,10431,10585,10738,10874,11035,11180,11333,11461,11640,11778,11934,12114,12302,12475,12672,12864,13030,13217,13382,13556,13762,13927,14125,14314,14485,14675,14864,15051,15246,15452,15629,15806,15975,16169,16354,16540,16734,16963,17189,17388,17612,17819,18050,18305,18555,18783,19018,19278,19524,19781,20061,20320,20591,20849,21146,21429,21694,21970,22251,22562,22849,23133,23451,23747,24055,24385,24701,25024,25352,25712,26055,26401,26729,27093,27452,27801,28139,28486,28869,29265,29669,30082,30482,30873,31276,31674,32117,32529,32997,33416,33880,34353,34831,35316,35786,36292,36808,37347,37846,38356,38869,39426,39978,40551,41095,41644,42239,42790,43369,43982,44589,45198,45798,46402,46989,47575,48198,48827,49527,50196,50895,51620,52300,52977,53704,54450,55170,55878,56613,57335,58093,58830,59615,60414,61181,61955,62796,63593,64414,65241,66058,66949,67843,68770,69682,70623,71535,72462,73428,74405,75392,76368,77425,78455,79560,80583,81644,82655,83732,84862,85918,87012,88139,89229,90379,91569,92797,94077,95334,96589,97872,99252,100625,102007,103433,104871,106332,107785,109329,110839,112410,114009,115650,117328,119021,120763,122491,124297,126146,128007,129834,131751,133649,135568,137602,139604,141583,143678,145731,147888,150076,152141,154348,156672,158993,161179,163386,165623,167878,170221,172671,175136,177658,180130,182601,185241,187902,190461,193236,196000,198712,201538,204477,207453,210425,213472,216565,219644,222649,225687,228880,232111,235434,238727,242128,245476,248891,252425,255961,259543,263149,266816,270487,274236,277986,281868,285762,289674,293599,297552,301609,305628,309843,314042,318402,322669,326931,331379,335827,340258,344824,349401,354053,358725,363625,368344,373229,378172,383316,388214,393327,398442,403640,408964,414350,419733,425073,430565,436150,441732,447485,453188,459027,464863,470871,476999,483242,489362,495740,502142,508575,515234,521843,528407,535170,541911,548980,556043,563310,570579,577975,585342,592935,600645,608350,616245,624166,632364,640646,648969,657406,666029,674887,683706
1,1,3,5,5,7,8,11,15,16,21,29,39,52,60,65,77,86,101,112,125,136,154,169,190,209,227,255,285,314,339,376,411,440,460,485,514,543,574,596,623,661,689,739,772,809,843,882,926,971,1015,1062,1107,1153,1204,1261,1313,1377,1427,1485,1558,1616,1686,1741,1817,1871,1939,1997,2071,2152,2237,2304,2376,2437,2506,2585,2647,2723,2820,2910,3001,3102,3217,3316,3398,3484,3585,3692,3811,3917,4019,4136,4246,4362,4476,4579,4692,4830,4946,5068,5189,5291,5392,5522,5650,5774,5909,6038,6171,6335,6495,6662,6827,6989,7154,7319,7503,7682,7861,8047,8243,8420,8616,8799,9005,9217,9440,9625,9850,10056,10287,10509,10722,10922,11110,11320,11548,11749,11977,12187,12402,12600,12816,12997,13179,13368,13604,13835,14034,14254,14495,14687,14936,15155,15387,15621,15852,16090,16335,16613,16895,17150,17435,17734,18043,18365,18691,19009,19318,19646,19991,20313,20639,21003,21380,21724,22116,22492,22876,23244,23592,23974,24369,24788,25172,25566,25970,26396,26810,27184,27615,28064,28498,28970,29501,29940,30394,30846,31361,31866,32321,32844,33339,33857,34379,34924,35493,36035,36580,37162,37722,38310,38874,39425,40007,40658,41259,41857,42484,43144,43779,44428,45056,45760,46429,47098,47776,48523,49242,49937,50694,51509,52347,53186,53983,54792,55724,56642,57612,58552,59494,60473,61421,62338,63386,64364,65386,66417,67433,68470,69475,70505,71582,72677,73775,74831,75875,76921,78049,79131,80261,81418,82548,83692,84869,86085,87339,88534,89743,90981,92343,93710,95040,96424,97845,99236,100695,102219,103661,105089,106628,108129,109665,111224,112806,114428,116050,117749,119476,121152,122883,124644,126404,128236,129959,131808,133705,135601,137479,139519,141433,143369,145413,147525,149565,151638,153804,155905,158092,160349,162649,164871,167129,169415,171747,174030,176469,178778,181222,183777,186322,188896,191514,194125,196799,199413,202145,204815,207600,210518,213494,216363,219398,222469,225676,228815,232053,235245,238554,241851,245173,248567,252041,255599,259237,262924,266695,270491,274288,278225,282173,286109,290050,294084,298223,302308,306407,310660,314962,319285,323654,328141,332647,337120,341676,346367,351059,355978,361000,366103,371203,376335,381600,386990,392513,397972,403482,409061,414745,420508,426356,432358,438495,444693,450855,456937,463119,469401,475769,482285,488733,495380,502177,508986,515977,522991,529932,537080,544340,551612,558898,566336,573995,581812,589608,597472,605643,613775,622062,630396,638874,647283,655851,664590,673434,682220,691219,700439,710016,719483,729083,738831,748508,758569,768350,778431,788738,799063,809630,820514,831162,842167,853109,864358,875675,887079,898933,910848,922540,934500,946688,958979,971236,984025,996893,1009929,1022773,1036039,1049396,1062854,1076393,1090295,1104077,1118285,1132645,1146911,1161516,1176156,1191102,1205892,1220900,1236162,1251726,1267133,1283077,1298922,1315213,1331533,1347974,1364493,1381102,1397931,1415155,1432597,1450204,1467811,1485498,1503300,1521460,1539937,1558578,1577080,1596170,1615249,1634502,1653845,1673330,1693253,1713341,1733587,1754140,1774867,1795465,1816420,1837550,1859140,1881015
1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,6,7,9,10,12,16,16,16,16,16,19,22,27,30,35,37,38,42,44,47,54,56,57,60,64,72,77,88,96,101,110,113,121,133,141,149,161,171,183,192,196,202,212,218,227,238,253,263,271,283,295,312,333,349,364,392,400,419,436,450,465,482,496,513,536,556,572,586,604,629,657,673,693,713,736,759,781,805,831,870,902,931,961,993,1023,1045,1083,1120,1158,1193,1235,1266,1304,1343,1395,1445,1490,1540,1587,1623,1673,1721,1784,1847,1890,1937,1980,2037,2088,2149,2207,2250,2305,2362,2416,2472,2521,2570,2637,2700,2757,2814,2890,2959,3036,3097,3188,3266,3351,3436,3525,3623,3730,3826,3910,3993,4107,4209,4305,4436,4556,4680,4808,4919,5053,5162,5283,5413,5529,5633,5750,5885,6000,6126,6256,6376,6492,6621,6740,6864,6996,7121,7271,7403,7552,7701,7884,8052,8216,8405,8593,8774,8957,9156,9311,9514,9698,9907,10123,10323,10532,10767,10983,11217,11416,11673,11919,12143,12375,12621,12913,13171,13432,13699,13993,14260,14520,14797,15108,15388,15664,15943,16186,16483,16796,17095,17402,17691,17983,18329,18630,18955,19294,19627,19964,20300,20624,20972,21319,21710,22085,22475,22839,23242,23667,24115,24582,25004,25442,25844,26222,26648,27059,27528,27905,28395,28817,29244,29685,30141,30596,31032,31512,31991,32483,32965,33515,34048,34529,35023,35550,36061,36574,37088,37582,38090,38685,39241,39801,40369,40981,41614,42232,42856,43463,44117,44760,45431,46065,46772,47448,48193,48906,49549,50283,51030,51753,52466,53192,53882,54638,55417,56201,57010,57824,58628,59438,60286,61112,61959,62829,63719,64596,65532,66469,67378,68275,69235,70120,71149,72136,73092,74083,75086,76132,77164,78257,79358,80412,81534,82681,83832,85019,86200,87405,88660,89871,91154,92446,93774,95114,96495,97933,99356,100750,102190,103661,105123,106613,108142,109711,111260,112766,114332,115899,117594,119256,120984,122626,124331,126067,127819,129561,131366,133188,135032,136876,138632,140646,142559,144445,146452,148476,150496,152569,154744,156883,159130,161276,163499,165793,168119,170468,172797,175194,177643,180190,182682,185190,187731,190410,193181,195937,198791,201548,204387,207179,210090,213072,215947,218890,221875,225004,228206,231320,234467,237701,241049,244496,247924,251344,254823,258369,261938,265605,269319,273101,276863,280794,284762,288762,292807,296976,301162,305421,309560,313968,318379,322837,327382,331938,336505,341245,346113,350933,355834,360869,365876,371059,376231,381368,386620,391918,397309,402715,408161,413539,419207,424771,430526,436422,442249,448291,454429,460575,466777,472968,479331,485779,492417,498992,505859,512756,519823,527014,534253,541734,549296,556856,564462,572143,580097,588195,596226,604408,612856,621310,629812,638387,647147,656143,665113,674083,683290,692482,701907,711270,720767,730448,740239,750237,760154,770430,780459,790785,801247,811976,822560,833620,844376,855579,866769
1,1,1,2,3,4,5,8,9,11,13,14,16,17,18,19,24,29,34,40,46,49,58,67,76,83,91,94,106,115,122,130,134,142,149,154,165,178,184,195,204,213,217,225,231,235,241,244,248,253,262,269,274,281,281,290,292,297,301,306,320,326,337,344,351,368,378,387,400,406,427,438,448,463,477,495,513,531,550,569,590,608,623,639,670,704,722,754,782,812,832,870,898,932,969,1006,1042,1081,1115,1158,1211,1268,1315,1354,1424,1488,1535,1584,1636,1712,1773,1848,1917,1994,2055,2139,2221,2284,2360,2450,2534,2618,2704,2790,2884,2982,3083,3191,3299,3390,3485,3604,3734,3860,3976,4090,4215,4351,4492,4636,4765,4925,5058,5228,5403,5594,5764,5967,6124,6318,6515,6705,6894,7118,7324,7527,7738,7939,8144,8359,8561,8756,9003,9234,9455,9669,9904,10152,10405,10643,10870,11126,11379,11637,11918,12173,12476,12772,13069,13387,13671,14023,14331,14682,15046,15408,15750,16110,16457,16808,17179,17580,17992,18388,18874,19294,19754,20247,20720,21200,21742,22237,22769,23342,23901,24447,25040,25618,26193,26790,27450,28060,28690,29343,30020,30633,31320,31985,32658,33336,34037,34788,35509,36211,36943,37693,38407,39148,39930,40753,41518,42290,43060,43789,44612,45435,46302,47104,48003,48821,49577,50449,51367,52193,53080,53988,54879,55729,56644,57598,58613,59535,60574,61546,62562,63556,64576,65609,66672,67713,68751,69894,71001,72194,73349,74549,75767,77036,78330,79621,80892,82217,83601,84963,86311,87691,89110,90444,91911,93473,94928,96335,97866,99431,100951,102495,104050,105601,107132,108732,110422,112105,113795,115499,117212,118916,120766,122574,124432,126364,128278,130241,132248,134254,136269,138156,140175,142232,144301,146423,148672,150903,153159,155356,157670,159965,162351,164736,167158,169510,171967,174417,176865,179418,181965,184412,186926,189502,192112,194853,197529,200316,203107,206022,208917,211704,214557,217457,220436,223458,226534,229640,232802,236006,239301,242719,246140,249459,252994,256489,260091,263710,267417,271261,274936,278884,282819,286830,290820,294883,298975,303110,307247,311593,315991,320262,324841,329371,333982,338555,343360,348037,352776,357551,362469,367433,372466,377582,382735,387777,393017,398095,403481,408939,414436,419934,425468,431183,436858,442688,448603,454432,460417,466450,472555,478733,484903,491224,497647,504188,510778,517401,523993,530897,537543,544384,551356,558402,565512,572743,580077,587557,595100,602545,610199,618094,625829,633711,641933,649937,658020,666328,674776,683238,691925,700703,709418,718191,727164,736312,745656,755051,764660,774230,783951,793616,803671,813726,823945,834478,845102,855612,866161,877016,888004,899035,910177,921548,933030,944645,956289,968066,979927,992048,1004363,1016736,1029237,1041603,1054293,1067466,1080631,1093971,1107253,1120812,1134461,1148211,1162334,1176220,1190592,1204957,1219462,1234176,1249202,1264164,1279617,1295207,1310997,1326757,1342757,1358818,1375296,1391989,1408503,1425299,1442463,1459591,1477079,1494539,1512083,1530003,1548228,1566610,1585235,1604249,1622815,1641709,1661023
1,1,2,5,7,8,9,11,11,14,18,21,24,27,27,30,35,38,48,52,59,65,74,78,86,97,108,114,124,130,137,143,151,157,172,177,187,192,198,207,211,220,227,236,240,245,256,260,266,274,286,299,312,323,331,336,347,354,360,372,392,401,415,430,446,464,485,510,528,534,557,579,598,633,658,691,721,738,768,797,833,859,885,916,943,974,994,1017,1046,1079,1115,1142,1171,1198,1223,1263,1289,1322,1354,1382,1415,1451,1498,1534,1574,1618,1647,1685,1737,1778,1809,1857,1903,1939,1979,2008,2053,2101,2155,2212,2260,2316,2380,2431,2486,2543,2605,2682,2743,2801,2869,2936,3021,3092,3166,3236,3305,3370,3441,3527,3607,3701,3799,3893,4001,4107,4204,4301,4402,4517,4612,4727,4857,4975,5085,5225,5358,5489,5620,5763,5912,6053,6204,6338,6487,6624,6775,6916,7108,7268,7433,7592,7746,7909,8078,8253,8429,8617,8789,8962,9132,9319,9512,9670,9851,10065,10289,10493,10688,10879,11078,11268,11461,11705,11918,12140,12388,12639,12886,13131,13375,13627,13854,14131,14401,14666,14962,15250,15542,15788,16061,16344,16588,16852,17129,17411,17681,17991,18267,18576,18888,19158,19462,19755,20010,20273,20573,20862,21161,21453,21744,22052,22322,22621,22931,23237,23600,23909,24255,24558,24896,25223,25604,25994,26350,26743,27122,27519,27927,28341,28775,29214,29683,30170,30643,31155,31643,32193,32713,33248,33764,34238,34786,35333,35876,36488,37072,37645,38189,38783,39414,40023,40630,41248,41901,42553,43215,43930,44565,45240,46032,46764,47482,48231,49002,49784,50575,51265,52042,52850,53628,54435,55280,56106,57026,57956,58839,59740,60657,61637,62564,63492,64491,65468,66481,67528,68560,69618,70696,71803,72904,74026,75147,76219,77356,78504,79624,80796,82018,83297,84445,85653,86923,88189,89463,90801,92087,93506,94902,96278,97667,99069,100504,101968,103475,104952,106469,108020,109577,111162,112771,114313,115960,117620,119230,120926,122648,124341,126114,127804,129520,131261,133021,134855,136669,138440,140276,142139,144126,146071,148079,150129,152109,154106,156222,158353,160467,162674,164852,167127,169387,171709,173965,176256,178562,180993,183369,185807,188232,190729,193255,195780,198289,200899,203494,206193,208939,211605,214388,217220,220089,222892,225875,228890,231929,234930,238014,241008,244178,247332,250609,253894,257271,260776,264175,267603,271132,274739,278269,281875,285750,289627,293441,297408,301393,305468,309564,313587,317914,322253,326619,331263,335743,340392,345090,349946,354681,359729,364606,369835,374955,380245,385633,391066,396603,402147,407894,413662,419510,425295,431148,437289,443480,449644,455976,462234,468707,475251,482023,488730,495496,502346,509358,516655,523976,531282,538721,546083,553612,561257,568961,576837,584673,592755,600937,609128,617270,625614,633997,642605,651275,659949,668948,677768,686532,695585,704899,714203,723742,733294,743057,753069,763133,773416,783742,794136,804745,815359,826188,836742,847848,858954,870180,881520,892909,904342,916101
1,1,1,1,1,1,3,3,4,5,6,7,7,8,10,13,18,22,23,26,26,30,32,34,34,40,54,62,70,78,85,90,103,110,119,126,136,143,154,164,171,184,193,200,213,219,231,239,247,258,262,273,281,290,293,303,322,335,345,362,375,393,407,432,444,464,487,518,550,573,601,625,663,697,728,762,795,830,860,894,947,982,1032,1084,1141,1188,1227,1285,1347,1389,1438,1485,1547,1602,1669,1752,1825,1882,1960,2029,2090,2168,2255,2333,2408,2484,2568,2642,2734,2802,2875,2957,3030,3104,3165,3240,3307,3388,3439,3494,3558,3620,3681,3744,3814,3891,3966,4026,4095,4163,4237,4296,4351,4397,4476,4525,4602,4683,4774,4830,4915,4997,5063,5129,5197,5280,5361,5448,5539,5628,5710,5778,5861,5930,5999,6083,6153,6216,6295,6356,6421,6471,6552,6631,6704,6778,6845,6912,6978,7055,7142,7223,7298,7374,7461,7542,7625,7706,7828,7916,8021,8118,8222,8330,8442,8539,8649,8756,8883,9007,9123,9233,9351,9461,9580,9700,9821,9970,10095,10219,10341,10458,10584,10712,10850,10978,11115,11240,11371,11488,11636,11799,11940,12086,12248,12393,12542,12692,12865,13034,13213,13361,13527,13697,13864,14039,14211,14373,14558,14734,14922,15128,15327,15542,15762,15957,16160,16393,16585,16797,17009,17215,17463,17671,17888,18143,18348,18597,18834,19070,19289,19529,19764,20001,20251,20508,20761,20978,21210,21432,21693,21946,22222,22473,22755,23047,23327,23557,23846,24109,24406,24704,25011,25294,25571,25873,26167,26491,26795,27084,27419,27729,28050,28355,28667,29014,29380,29752,30088,30480,30861,31235,31611,32021,32452,32880,33325,33810,34236,34701,35148,35597,36086,36611,37086,37593,38104,38627,39175,39699,40178,40738,41301,41885,42430,43026,43631,44264,44892,45531,46191,46836,47480,48204,48915,49552,50363,51076,51829,52551,53308,54056,54863,55692,56519,57422,58283,59142,60002,60831,61774,62674,63578,64508,65427,66391,67400,68357,69298,70296,71296,72339,73428,74508,75637,76757,77918,79075,80225,81405,82685,83900,85242,86533,87918,89199,90506,91899,93310,94688,96181,97662,99146,100740,102314,103952,105530,107126,108714,110447,112156,113844,115586,117352,119128,120894,122802,124694,126591,128545,130410,132430,134369,136367,138475,140440,142439,144555,146666,148741,150943,153102,155353,157672,159902,162171,164463,166797,169195,171659,174061,176541,179137,181729,184432,187109,189851,192641,195449,198292,201195,204077,207144,210293,213401,216540,219735,222966,226252,229618,233072,236476,239954,243346,246912,250376,254058,257735,261548,265392,269316,273157,277094,281006,285133,289310,293551,297761,302008,306344,310737,315256,319717,324359,328995,333656,338338,343104,348188,353045,357945,362797,367741,373002,378246,383504,388805,394314,399820,405403,411008,416735,422550,428375,434176,440104,446157,452319,458421,464834,471082,477424,483984,490669,497326,504051,510816,517705,524796,532009,539242,546587,554067,561581,568974,576773,584549
1,1,1,1,1,4,5,6,7,12,16,20,25,31,34,36,39,45,48,51,59,63,66,74,78,89,94,105,114,125,137,151,167,177,185,189,200,210,222,237,246,258,269,278,283,296,309,327,344,371,394,408,421,443,471,490,520,544,574,591,607,645,670,700,730,764,805,844,872,907,947,981,1010,1046,1074,1104,1140,1172,1204,1236,1271,1308,1343,1383,1424,1448,1488,1527,1570,1619,1655,1696,1749,1784,1830,1885,1948,1993,2047,2099,2143,2198,2260,2315,2379,2462,2559,2635,2732,2828,2917,3020,3131,3219,3332,3434,3540,3653,3772,3891,4019,4144,4279,4415,4529,4662,4782,4926,5031,5172,5297,5435,5583,5725,5873,6016,6155,6304,6427,6569,6701,6837,6960,7088,7224,7357,7481,7618,7767,7907,8049,8167,8293,8434,8574,8709,8860,9001,9157,9291,9438,9577,9717,9884,10025,10184,10344,10514,10677,10828,10990,11158,11303,11455,11625,11793,11947,12122,12287,12471,12654,12839,13047,13215,13392,13565,13737,13917,14097,14246,14426,14604,14797,14969,15146,15301,15453,15622,15796,15977,16164,16322,16485,16676,16860,17032,17245,17440,17633,17813,18016,18214,18412,18637,18847,19047,19246,19444,19648,19832,20042,20285,20506,20744,20977,21185,21408,21668,21872,22057,22279,22501,22726,22945,23185,23468,23719,23955,24213,24476,24766,25011,25258,25527,25797,26070,26352,26629,26942,27218,27527,27855,28185,28528,28861,29202,29563,29918,30258,30626,30993,31337,31674,32045,32447,32821,33198,33601,33974,34347,34731,35096,35491,35869,36269,36660,37052,37447,37862,38270,38724,39155,39587,40050,40472,40911,41379,41851,42308,42783,43333,43848,44386,44906,45422,45984,46563,47102,47625,48164,48714,49307,49879,50448,51043,51655,52268,52869,53507,54109,54725,55321,55946,56582,57223,57890,58570,59225,59906,60630,61312,62042,62789,63587,64352,65109,65901,66708,67522,68334,69192,70030,70874,71737,72610,73463,74334,75213,76159,77077,77981,78890,79798,80705,81672,82714,83698,84674,85678,86684,87686,88671,89656,90718,91795,92959,94076,95258,96418,97621,98757,99967,101159,102350,103610,104809,106093,107348,108582,109880,111166,112478,113851,115174,116526,117885,119334,120710,122090,123529,124998,126450,127935,129465,130992,132549,134120,135710,137284,138924,140601,142255,143855,145546,147292,148979,150782,152525,154283,156107,157984,159864,161776,163767,165745,167747,169768,171892,174017,176223,178352,180534,182658,184886,187221,189551,191887,194317,196659,199186,201747,204178,206718,209282,211905,214557,217239,219940,222692,225493,228256,231078,233892,236800,239784,242699,245734,248845,251886,254950,258075,261205,264420,267626,270851,274222,277701,281115,284666,288185,291717,295396,299083,302773,306531,310566,314526,318558,322605,326654,330762,334923,339264,343639,348224,352819,357483,362032,366728,371550,376438,381184,386242,391215,396507,401572,406768,412124,417542,422879,428272,433805,439605,445231,451057,456888,462800,468932,475071,481258,487556,493892,500318,506775,513399,520056,527061
1,1,1,1,1,1,1,2,3,5,5,6,8,9,10,13,17,17,18,23,25,27,28,30,32,36,44,45,51,57,67,71,77,82,94,104,115,124,135,144,154,166,179,186,192,194,200,205,215,222,237,245,260,264,272,282,302,321,337,361,375,393,409,433,450,465,487,509,533,570,602,629,657,690,716,741,774,806,842,866,900,946,986,1017,1036,1065,1094,1124,1139,1164,1179,1205,1240,1276,1302,1324,1345,1366,1412,1446,1484,1509,1547,1574,1611,1663,1696,1740,1789,1853,1905,1951,2001,2064,2116,2164,2216,2276,2335,2398,2456,2517,2586,2668,2737,2813,2885,2952,3015,3088,3170,3232,3310,3376,3456,3532,3612,3699,3794,3864,3951,4029,4105,4194,4301,4402,4503,4602,4695,4794,4911,5024,5153,5265,5386,5517,5630,5790,5941,6083,6218,6371,6516,6678,6826,6949,7075,7215,7362,7523,7669,7793,7930,8092,8240,8369,8503,8662,8809,8942,9099,9237,9379,9503,9653,9817,9952,10108,10271,10432,10602,10737,10903,11069,11223,11376,11553,11714,11878,12038,12226,12414,12608,12819,13027,13230,13415,13635,13869,14086,14322,14528,14753,14995,15229,15468,15719,15949,16203,16507,16773,17008,17276,17563,17852,18140,18419,18686,18973,19267,19526,19785,20102,20380,20658,20957,21248,21559,21894,22208,22525,22839,23162,23462,23786,24120,24461,24810,25193,25523,25866,26206,26584,26951,27314,27661,28028,28378,28758,29137,29524,29895,30277,30658,31075,31516,31940,32352,32810,33264,33690,34143,34567,35028,35468,35933,36429,36926,37419,37907,38375,38902,39423,39930,40466,41041,41549,42099,42685,43276,43883,44452,45042,45664,46253,46889,47517,48130,48728,49363,49966,50594,51290,51974,52670,53337,54030,54753,55474,56173,56910,57636,58343,59119,59850,60597,61349,62160,62956,63777,64669,65484,66394,67259,68146,69112,70042,70956,71843,72770,73723,74658,75631,76655,77641,78668,79699,80722,81738,82768,83853,84851,85914,87022,88080,89253,90366,91453,92537,93694,94845,96046,97247,98442,99642,100826,102010,103260,104570,105794,107087,108476,109877,111164,112579,113924,115319,116802,118260,119754,121205,122685,124207,125747,127246,128812,130378,132022,133659,135359,136994,138687,140419,142142,143856,145578,147462,149266,151015,152874,154729,156639,158610,160541,162539,164563,166604,168682,170830,173056,175154,177350,179607,181891,184191,186485,188863,191270,193747,196311,198890,201549,204108,206754,209479,212275,215016,217837,220735,223691,226654,229629,232689,235793,238972,242180,245447,248686,251992,255377,258714,262129,265610,269123,272634,276270,279896,283621,287362,291075,294825,298655,302502,306422,310296,314256,318309,322407,326569,330699,335053,339335,343605,347968,352427,356924,361584,366272,370919,375673,380636,385467,390440,395299,400415,405565,410747,416070,421561,426982,432510,438197,444060,449756,455585,461669,467687,473913,480143,486512,492939,499460,505915,512748,519438,526351,533346,540453,547602,554842,562078,569461,576852,584402,592180,600193,607998
1,1,2,2,3,5,7,9,13,15,15,16,17,18,19,20,23,27,27,29,33,37,42,49,56,65,70,73,78,90,102,107,114,120,132,139,147,154,162,169,181,186,195,210,220,227,236,251,256,268,277,291,300,308,329,343,357,377,390,405,418,426,437,457,473,484,494,507,519,536,550,561,573,590,604,622,636,651,670,681,697,718,738,760,787,821,851,876,916,952,985,1025,1066,1103,1140,1187,1224,1253,1274,1316,1362,1408,1457,1499,1566,1611,1652,1702,1754,1811,1871,1919,1969,2017,2074,2126,2190,2247,2313,2364,2414,2461,2523,2576,2622,2685,2775,2852,2929,3000,3080,3171,3275,3378,3460,3547,3639,3732,3833,3926,4019,4125,4238,4332,4418,4515,4612,4707,4816,4926,5061,5179,5300,5424,5536,5654,5785,5914,6072,6204,6356,6501,6646,6812,6992,7146,7327,7494,7666,7828,8026,8205,8414,8630,8828,9032,9214,9436,9646,9874,10103,10345,10597,10850,11100,11336,11563,11794,12048,12275,12501,12735,13000,13255,13494,13727,13975,14221,14465,14748,14997,15285,15572,15859,16165,16470,16758,17046,17388,17702,18038,18377,18718,19052,19417,19767,20111,20487,20871,21246,21616,21954,22333,22704,23108,23501,23915,24319,24748,25141,25561,25987,26433,26864,27350,27790,28228,28730,29143,29630,30124,30603,31129,31646,32217,32755,33301,33815,34417,35005,35583,36151,36741,37314,37936,38543,39204,39894,40534,41222,41913,42615,43354,44057,44806,45563,46375,47131,47869,48719,49551,50375,51229,52043,52889,53762,54623,55500,56383,57302,58258,59217,60176,61133,62114,63086,64098,65076,66171,67205,68206,69257,70364,71449,72496,73579,74669,75760,76867,77977,79111,80259,81440,82605,83822,84976,86156,87384,88586,89805,91053,92337,93607,94903,96281,97653,99020,100483,101907,103410,104962,106462,108067,109702,111397,113075,114807,116625,118479,120350,122273,124168,126071,128074,130118,132212,134359,136441,138583,140751,142977,145187,147411,149703,152057,154425,156774,159208,161787,164278,166820,169454,172078,174682,177382,180049,182830,185542,188391,191162,194056,196925,199990,202975,205968,208959,212023,215124,218274,221411,224706,227934,231264,234596,237926,241406,244852,248421,251908,255438,259040,262761,266499,270335,274101,278047,281862,285922,290028,294239,298308,302510,306796,310997,315415,319824,324307,328930,333532,338215,342960,347822,352551,357475,362648,367674,372683,377944,383299,388651,393934,399400,404969,410432,415992,421614,427550,433535,439513,445587,451748,457917,464093,470567,477110,483678,490277,497004,503767,510652,517580,524697,531945,539358,546722,554327,561925,569575,577463,585595,593774,602034,610347,618495,627149,635684,644275,653014,661859,671026,680175,689446,699011,708508,717934,727693,737443,747204,756981,767001,777125,787339,797694,808167,818599,829104,839800,850540,861453,872336,883469,894758,906203,917784,929097,940741,952494,964479,976495,988538,1000905,1013302,1025908,1038655,1051485,1064287,1077374,1090380,1103829,1117102,1130417,1143974,1157689,1171576,1185587,1199913,1214193
1,1,1,2,3,5,6,6,7,9,9,10,10,11,14,24,30,37,47,51,57,74,87,94,103,109,114,123,129,139,148,160,169,172,180,183,196,203,209,212,223,235,243,250,258,262,268,277,291,299,302,317,321,328,337,353,364,378,396,409,423,433,451,456,473,488,497,508,522,534,547,561,578,587,593,602,623,645,656,673,691,708,722,744,777,803,827,853,882,914,945,972,998,1027,1062,1100,1129,1150,1180,1212,1242,1269,1299,1328,1354,1386,1418,1441,1475,1492,1518,1541,1555,1575,1597,1629,1645,1670,1686,1713,1750,1781,1808,1845,1874,1905,1935,1961,1981,1994,2015,2051,2082,2119,2147,2178,2201,2235,2265,2302,2332,2364,2394,2426,2453,2489,2525,2555,2580,2623,2661,2701,2743,2786,2837,2882,2929,2968,3016,3068,3112,3165,3223,3298,3354,3403,3459,3519,3578,3642,3709,3788,3869,3957,4031,4110,4187,4261,4352,4422,4494,4581,4665,4738,4825,4897,4970,5043,5139,5221,5310,5385,5462,5538,5602,5689,5755,5824,5906,5993,6071,6169,6246,6326,6423,6529,6632,6730,6826,6936,7034,7138,7257,7362,7492,7610,7742,7870,7986,8093,8220,8344,8462,8614,8757,8898,9033,9148,9268,9400,9535,9636,9769,9885,10011,10117,10230,10368,10481,10614,10710,10841,10982,11131,11274,11420,11542,11662,11794,11935,12058,12208,12372,12548,12705,12864,13028,13208,13394,13593,13766,13962,14132,14361,14598,14791,15001,15230,15467,15706,15954,16179,16418,16656,16908,17150,17410,17664,17938,18191,18475,18768,19055,19336,19606,19928,20222,20549,20867,21188,21523,21849,22173,22496,22858,23197,23557,23956,24323,24713,25102,25492,25869,26301,26736,27164,27615,28104,28579,29057,29530,30019,30519,31015,31523,32046,32573,33087,33594,34164,34713,35256,35788,36364,36910,37461,38030,38592,39158,39703,40313,40893,41474,42107,42739,43352,43959,44581,45178,45778,46404,47048,47639,48260,48884,49535,50210,50847,51564,52288,52940,53708,54398,55135,55918,56689,57443,58202,58963,59722,60565,61348,62117,62899,63681,64499,65327,66126,66937,67767,68642,69487,70384,71296,72142,73034,73954,74868,75753,76667,77683,78631,79613,80623,81695,82730,83806,84842,85926,87061,88210,89380,90453,91606,92788,94027,95338,96598,97910,99193,100598,102016,103458,104893,106310,107785,109193,110703,112218,113738,115308,116925,118609,120188,121779,123480,125203,126931,128712,130533,132245,134058,135788,137615,139509,141322,143159,145057,147057,148977,150934,152940,154980,157014,159151,161100,163132,165290,167525,169705,171929,174289,176461,178675,181014,183422,185923,188417,190942,193495,195986,198543,201231,203940,206753,209608,212435,215253,218205,221188,224233,227261,230273,233489,236662,239837,243025,246353,249741,253165,256602,260092,263634,267206,270795,274421,278082,281774,285657,289534,293456,297397,301333,305429,309588,313629,317918,322207,326542,330907,335361,339933,344488,349109,353831,358722,363567
1,1,1,1,5,5,6,6,6,8,8,9,11,13,13,14,15,15,15,15,15,15,15,19,22,25,26,26,28,33,36,37,39,46,53,62,64,71,80,87,92,98,109,129,140,146,156,161,168,178,183,189,194,209,214,221,228,237,245,248,258,267,276,281,291,294,304,312,319,328,335,340,345,351,363,368,376,379,385,389,399,407,415,426,434,441,449,464,474,483,491,498,506,517,527,532,541,546,550,556,559,563,567,573,574,576,576,578,582,586,587,589,593,598,601,603,606,609,613,613,614,617,618,621,624,628,635,637,643,645,651,655,659,667,674,685,696,706,714,726,741,751,762,776,785,794,806,818,831,841,847,854,872,883,891,901,905,913,928,932,938,941,949,956,967,972,980,984,988,993,997,1004,1009,1015,1020,1027,1037,1048,1056,1062,1074,1090,1102,1111,1120,1132,1145,1155,1170,1187,1207,1229,1257,1280,1301,1333,1362,1389,1417,1450,1470,1503,1531,1569,1587,1613,1628,1648,1684,1724,1756,1778,1800,1828,1855,1879,1913,1938,1968,1997,2036,2074,2105,2143,2170,2205,2237,2272,2314,2341,2372,2408,2436,2463,2509,2547,2576,2608,2637,2677,2712,2751,2799,2839,2883,2931,2981,3032,3078,3127,3174,3224,3279,3337,3388,3446,3493,3555,3603,3658,3707,3761,3823,3890,3957,4044,4124,4200,4280,4349,4438,4517,4598,4680,4772,4877,4975,5069,5172,5268,5376,5475,5562,5678,5769,5857,5962,6070,6192,6298,6429,6549,6661,6772,6891,7028,7139,7266,7368,7490,7614,7738,7891,8033,8178,8327,8466,8616,8793,8954,9128,9286,9441,9631,9829,10007,10187,10363,10543,10733,10931,11114,11304,11524,11687,11853,12077,12289,12491,12694,12881,13097,13308,13491,13695,13929,14148,14349,14584,14800,15000,15241,15482,15705,15956,16199,16454,16725,16977,17208,17471,17722,17995,18274,18527,18799,19066,19333,19603,19891,20181,20517,20805,21098,21386,21716,22011,22329,22611,22901,23168,23440,23767,24064,24384,24685,25052,25374,25778,26107,26467,26840,27194,27526,27933,28321,28698,29077,29490,29919,30346,30795,31215,31659,32100,32529,32937,33384,33837,34288,34746,35185,35659,36144,36601,37061,37526,37991,38476,38948,39382,39911,40407,40921,41438,41964,42541,43105,43643,44175,44779,45394,46060,46694,47348,48036,48698,49389,50069,50809,51527,52237,53004,53725,54470,55186,55919,56681,57425,58181,58956,59723,60553,61324,62140,62947,63738,64582,65445,66325,67209,68119,69060,70006,70927,71895,72882,73902,74920,75956,76945,77976,78969,80075,81177,82215,83304,84363,85502,86721,87848,89052,90198,91388,92617,93866,95130,96340,97568,98791,100036,101324,102719,104035,105350,106690,108101,109475,110907,112365,113801,115344,116831,118395,119956,121520,123105
1,1,1,1,2,3,6,7,10,10,10,10,11,16,17,17,18,22,30,30,34,35,38,42,46,50,55,61,66,74,86,93,103,117,128,139,148,155,167,173,184,195,204,215,226,231,240,249,258,275,286,299,307,314,328,345,357,377,389,404,416,430,445,457,472,486,497,514,529,538,555,569,592,604,613,620,633,642,651,664,676,701,726,735,746,759,779,795,817,840,857,879,897,926,965,989,1018,1049,1086,1116,1153,1203,1253,1295,1342,1377,1430,1466,1523,1579,1638,1699,1758,1818,1885,1941,2011,2063,2129,2193,2271,2334,2398,2489,2549,2602,2649,2725,2786,2849,2906,2981,3049,3122,3192,3263,3340,3423,3509,3609,3699,3791,3884,3971,4066,4167,4262,4365,4477,4590,4702,4822,4944,5045,5184,5320,5436,5566,5690,5827,5958,6075,6199,6327,6443,6579,6731,6900,7059,7221,7396,7549,7711,7859,8025,8198,8358,8526,8699,8854,9022,9190,9351,9525,9679,9839,9996,10162,10330,10501,10668,10845,11041,11203,11368,11557,11739,11900,12090,12296,12516,12722,12928,13146,13380,13625,13888,14161,14408,14683,14969,15238,15496,15822,16105,16426,16739,17072,17386,17694,18050,18378,18728,19033,19395,19787,20199,20627,21008,21441,21868,22254,22662,23080,23482,23884,24322,24768,25231,25740,26225,26705,27154,27655,28160,28679,29128,29709,30219,30735,31280,31831,32383,32944,33548,34152,34719,35285,35897,36481,37126,37751,38343,38940,39577,40224,40880,41571,42237,42918,43586,44265,44945,45662,46371,47119,47874,48608,49389,50180,50965,51791,52571,53385,54170,55020,55859,56753,57658,58603,59515,60493,61446,62415,63414,64391,65471,66535,67619,68646,69742,70790,71836,72979,74054,75165,76257,77418,78563,79758,80918,82102,83338,84521,85753,87024,88216,89493,90875,92248,93588,94950,96346,97726,99112,100519,101921,103291,104673,106096,107537,108957,110481,112000,113465,115055,116564,118129,119630,121280,122936,124594,126174,127699,129415,131080,132790,134492,136305,138117,139944,141859,143736,145680,147576,149460,151383,153359,155325,157243,159263,161349,163389,165385,167529,169703,171790,173990,176226,178449,180819,183066,185341,187675,190003,192373,194680,197098,199576,202008,204599,207156,209775,212443,215178,217734,220354,223039,225869,228715,231619,234460,237345,240256,243195,246252,249212,252283,255496,258763,262057,265370,268782,272291,275820,279360,282918,286488,290120,293727,297475,301251,305120,309052,313031,317014,321092,325235,329380,333526,337923,342157,346548,350892,355306,359683,364260,368911,373454,378129,382842,387545,392435,397413,402449,407440,412432,417461,422764,427962,433239,438764,444249,449901,455725,461631,467398,473349,479482,485682,492104,498493,504988,511537,518301,524890,531628,538502,545392,552460,559326,566489,573646,580814,588335,595875,603522,611178,619051,626926,634779,642845,651190,659573,668154,676584,685409,694194,703137,712045,721291,730517,739825,749120,758694,768504,778382,788508,798713,808825,819101,829766,840403,851311,862111,872948,884337
1,1,1,1,1,2,2,3,7,7,10,16,16,23,23,25,26,27,30,40,44,49,52,57,64,68,76,80,97,107,121,129,134,142,152,155,167,175,184,195,207,215,227,231,236,246,255,266,281,295,306,322,340,356,369,385,401,419,438,465,489,518,542,563,593,625,649,679,714,738,763,790,831,858,890,922,949,984,1027,1067,1113,1162,1207,1243,1293,1335,1389,1440,1474,1531,1574,1627,1667,1718,1765,1829,1887,1932,1976,2022,2059,2125,2173,2228,2279,2330,2382,2436,2487,2536,2601,2660,2714,2779,2848,2925,2977,3036,3101,3156,3236,3310,3383,3448,3525,3601,3673,3760,3833,3922,4011,4109,4192,4281,4366,4454,4548,4624,4719,4822,4904,4991,5087,5179,5261,5357,5436,5531,5617,5699,5778,5856,5964,6053,6146,6240,6333,6414,6504,6586,6671,6754,6834,6917,6993,7104,7200,7295,7372,7464,7546,7627,7711,7803,7894,7988,8077,8174,8258,8368,8477,8592,8701,8791,8900,8992,9094,9206,9332,9467,9592,9724,9848,9986,10098,10238,10387,10519,10659,10810,10938,11071,11217,11358,11498,11659,11818,12000,12142,12302,12474,12632,12798,12971,13133,13303,13455,13631,13787,13942,14109,14285,14457,14643,14822,14983,15157,15340,15506,15680,15840,16028,16224,16424,16629,16812,17021,17228,17456,17665,17875,18098,18332,18552,18796,19027,19277,19527,19761,20021,20299,20587,20864,21123,21391,21658,21966,22248,22556,22847,23150,23501,23796,24102,24430,24781,25104,25450,25786,26154,26508,26880,27239,27582,27918,28264,28622,29006,29379,29786,30193,30567,30967,31367,31765,32190,32624,33023,33442,33862,34304,34734,35142,35583,36071,36512,36954,37387,37837,38277,38767,39187,39689,40124,40599,41051,41496,41963,42435,42921,43380,43844,44357,44802,45255,45733,46216,46690,47224,47720,48195,48696,49218,49757,50280,50842,51384,51967,52529,53119,53734,54303,54909,55525,56172,56837,57505,58149,58836,59506,60179,60927,61608,62278,63010,63704,64471,65185,65846,66584,67377,68125,68882,69619,70366,71114,71861,72644,73483,74236,75022,75799,76542,77425,78324,79213,80100,80964,81904,82838,83767,84679,85621,86621,87613,88607,89645,90639,91735,92820,93880,94983,96105,97233,98341,99525,100707,101890,103070,104228,105396,106626,107870,109108,110421,111657,112948,114163,115450,116786,118103,119441,120869,122303,123695,125147,126593,128090,129506,130993,132499,134069,135646,137159,138765,140434,142136,143737,145457,147146,148828,150511,152282,154065,155839,157615,159479,161381,163226,165116,167118,169068,171008,172981,175005,177061,179129,181317,183434,185612,187786,189935,192175,194439,196841,199320,201739,204191,206750,209397,211920,214546,217205,219858,222630,225414,228201,231012,233920,236916,239844,242874,245983,249145,252399,255547,258712,262000,265350,268762,272266,275726,279142,282617,286139,289744,293249,296947,300679,304492,308305,312311,316299,320409,324532,328718,333047,337345,341685,346110,350640,355053,359690,364566,369354,374225,379015
1,1,5,5,6,6,9,9,10,13,16,17,17,22,26,34,41,49,52,57,67,75,79,92,103,120,129,135,151,163,182,205,228,251,266,289,304,316,333,359,383,408,434,453,474,494,516,543,580,615,650,685,721,748,772,799,837,863,887,926,962,987,1018,1047,1087,1120,1164,1193,1235,1280,1305,1332,1369,1397,1430,1464,1496,1523,1562,1597,1622,1647,1667,1685,1703,1729,1750,1764,1786,1805,1823,1840,1867,1900,1915,1941,1967,1993,2023,2040,2073,2097,2122,2151,2179,2218,2250,2282,2305,2337,2371,2399,2436,2469,2508,2555,2611,2652,2701,2749,2788,2833,2902,2952,3007,3060,3135,3211,3249,3305,3366,3417,3478,3560,3619,3702,3771,3847,3926,3998,4059,4143,4243,4323,4410,4494,4600,4690,4801,4887,5000,5100,5189,5290,5399,5501,5597,5696,5805,5919,6036,6156,6269,6398,6510,6611,6729,6854,7002,7131,7270,7399,7528,7652,7806,7939,8070,8209,8345,8474,8628,8785,8955,9101,9264,9410,9536,9684,9825,9947,10102,10243,10385,10536,10686,10848,11025,11148,11303,11453,11610,11799,11947,12131,12299,12485,12672,12850,13016,13210,13413,13596,13812,14017,14221,14416,14623,14843,15068,15299,15485,15708,15931,16168,16372,16620,16878,17127,17362,17611,17885,18126,18374,18667,18938,19235,19486,19782,20064,20403,20696,21008,21326,21652,21983,22319,22692,23038,23432,23787,24177,24542,24942,25363,25767,26168,26578,27004,27468,27940,28373,28810,29270,29755,30196,30664,31138,31662,32216,32725,33241,33756,34267,34840,35424,36025,36591,37163,37758,38375,39010,39656,40321,40962,41623,42267,42884,43496,44143,44803,45498,46241,46974,47680,48433,49141,49895,50650,51426,52194,53015,53849,54710,55594,56458,57360,58265,59206,60104,61001,61955,62886,63839,64852,65829,66826,67791,68792,69809,70907,71902,72949,74057,75177,76305,77446,78613,79807,81036,82172,83326,84515,85806,87106,88431,89698,91057,92359,93627,95067,96386,97797,99179,100553,101982,103474,104893,106283,107777,109209,110679,112162,113673,115165,116732,118255,119868,121474,123097,124685,126330,128018,129790,131475,133294,135089,136898,138737,140706,142590,144506,146373,148468,150503,152652,154778,157019,159176,161449,163684,166094,168471,170928,173384,175908,178389,180799,183489,186158,188849,191687,194505,197348,200256,203235,206150,209102,212181,215223,218372,221421,224710,227925,231263,234675,238047,241591,245219,248727,252277,255930,259636,263396,267210,271142,275042,279019,283240,287319,291599,295639,299963,304268,308629,313013,317470,322114,326683,331383,335972,340657,345487,350308,355062,360152,365217,370212,375300,380638,385854,391218,396630,402085,407591,413192,418867,424570,430561,436481,442347,448462,454473,460617,466967,473255,479606,485993,492535,499129,505804,512487,519275,526306,533275,540429,547432,554671,562054,569477,577074,584634,592360,600201,608000,616026,624323,632673,640898,649299,657604,666230,674830,683682,692462,701417,710514,719881,729215,738432,747958,757798,767715,777753,787700,797971,808368,819080
1,1,1,1,1,2,2,2,2,2,2,5,7,9,11,12,13,14,19,21,22,27,31,34,36,44,46,51,60,67,68,72,75,80,87,96,105,113,121,133,137,143,151,158,164,173,190,197,208,215,223,231,236,245,255,261,269,273,280,286,293,296,301,307,313,320,327,343,353,368,382,393,405,420,441,465,485,500,520,538,556,589,612,641,671,701,724,765,792,828,858,899,935,979,1033,1075,1104,1148,1197,1245,1293,1342,1397,1447,1496,1539,1574,1615,1651,1700,1751,1788,1831,1873,1912,1951,1994,2040,2086,2140,2193,2233,2278,2321,2367,2425,2469,2526,2554,2595,2635,2685,2734,2776,2823,2887,2932,2997,3055,3113,3189,3261,3340,3407,3476,3543,3595,3652,3745,3827,3905,3981,4067,4174,4265,4373,4452,4540,4655,4747,4828,4932,5051,5151,5256,5369,5491,5593,5708,5832,5979,6120,6248,6389,6539,6695,6859,7023,7171,7349,7507,7689,7853,8023,8210,8397,8589,8792,8986,9182,9390,9579,9792,10024,10264,10466,10692,10930,11170,11391,11641,11898,12166,12398,12657,12893,13166,13407,13689,13995,14269,14564,14836,15147,15426,15715,15988,16256,16546,16881,17206,17493,17806,18138,18474,18821,19107,19436,19733,20055,20428,20761,21124,21503,21838,22198,22573,22983,23364,23740,24118,24513,24900,25322,25724,26135,26578,27047,27515,27994,28477,28960,29439,29887,30371,30890,31343,31837,32381,32883,33417,33964,34520,35074,35688,36289,36879,37568,38223,38851,39514,40197,40896,41525,42195,42917,43598,44269,44972,45736,46482,47263,48071,48922,49709,50537,51348,52179,52996,53783,54638,55463,56369,57278,58148,59081,59998,60914,61894,62832,63753,64695,65678,66658,67697,68705,69740,70772,71760,72870,73981,75110,76280,77402,78586,79761,80945,82113,83286,84543,85778,87143,88447,89745,91018,92316,93658,94998,96361,97750,99180,100619,102106,103585,105057,106603,108209,109732,111341,112830,114373,115944,117553,119185,120803,122482,124159,125955,127731,129494,131282,133121,134976,136817,138669,140651,142638,144646,146693,148776,150908,153053,155227,157408,159632,161839,164170,166554,168985,171506,173973,176421,178915,181414,184030,186659,189298,192041,194802,197499,200335,203068,205860,208782,211882,214926,218004,221143,224277,227570,230868,234174,237502,240847,244209,247705,251147,254713,258369,261967,265726,269438,273262,277113,281077,285159,289144,293208,297408,301582,305834,310231,314492,318942,323319,327822,332441,336941,341646,346385,351228,355940,360882,365716,370878,375904,381168,386499,391826,397351,403034,408654,414342,420070,425935,431845,437816,443826,450087,456205,462420,468756,475179,481869,488395,495124,501816,508825,515852,522870,530196,537563,545006,552578,560213,567838,575438,583228,591363,599366,607478,615896,624486,633136,641688,650535,659228,668143,677024,686212,695501,704772,714047,723514,733081,742800,752541,762364,772381,782398,792358,802571,812865,823319,833907,844559,855579,866552,877462,888689,900223,911459,922990,934862,946623,958512,970768
1,1,1,3,4,5,6,8,8,9,10,13,14,17,18,19,23,25,27,30,35,44,51,61,71,75,83,94,108,116,125,137,148,162,174,189,202,214,228,240,262,279,293,317,328,346,367,384,403,419,441,454,470,485,502,516,535,551,573,588,597,605,622,634,646,664,682,702,715,727,748,760,777,789,815,830,845,859,887,909,929,950,962,985,1000,1019,1041,1066,1084,1108,1134,1155,1172,1193,1220,1246,1266,1287,1310,1333,1361,1390,1408,1428,1446,1469,1501,1527,1554,1595,1627,1666,1712,1755,1799,1851,1904,1973,2022,2081,2134,2187,2255,2300,2364,2431,2488,2555,2619,2706,2776,2844,2938,3017,3095,3190,3268,3361,3439,3528,3631,3737,3841,3966,4090,4172,4274,4390,4501,4602,4700,4802,4929,5060,5183,5293,5431,5536,5658,5793,5906,6044,6165,6287,6418,6547,6680,6816,6954,7081,7222,7356,7496,7638,7778,7914,8056,8168,8312,8429,8548,8690,8837,8965,9113,9241,9369,9524,9667,9799,9970,10093,10243,10365,10494,10644,10760,10894,11024,11158,11306,11439,11595,11740,11905,12057,12236,12392,12557,12704,12871,13061,13223,13360,13530,13652,13791,13936,14092,14258,14413,14586,14734,14914,15083,15266,15436,15593,15770,15967,16179,16412,16605,16819,17007,17237,17467,17676,17916,18158,18378,18626,18877,19123,19379,19636,19885,20135,20383,20628,20895,21155,21411,21670,21946,22220,22490,22743,23016,23243,23496,23754,24023,24297,24557,24801,25048,25317,25594,25867,26143,26409,26706,26974,27259,27569,27850,28156,28442,28761,29113,29413,29746,30101,30476,30845,31198,31569,31988,32359,32752,33146,33578,34004,34414,34850,35311,35745,36170,36584,37082,37565,38030,38459,38918,39398,39855,40318,40773,41199,41636,42111,42617,43092,43577,44057,44516,45022,45461,45960,46442,46986,47474,47961,48484,49012,49532,50043,50623,51143,51780,52399,52988,53571,54187,54837,55496,56135,56816,57573,58253,58947,59665,60391,61134,61885,62640,63400,64216,64988,65817,66612,67495,68317,69140,69987,70920,71838,72714,73560,74462,75350,76265,77181,78164,79070,80015,80984,82005,83028,84027,85062,86062,87093,88143,89258,90339,91443,92533,93618,94743,95871,97013,98089,99245,100409,101611,102812,104075,105287,106496,107725,109054,110321,111707,112995,114339,115638,117067,118487,119850,121266,122747,124246,125708,127288,128831,130343,131901,133463,135110,136758,138494,140161,141875,143593,145338,147098,148894,150696,152618,154427,156360,158263,160222,162319,164447,166539,168746,170819,172937,175123,177425,179646,181994,184447,186792,189100,191499,193949,196402,198799,201319,203954,206456,209031,211627,214291,216948,219669,222384,225175,227957,230800,233640,236524,239432,242369,245405,248495,251532,254628,257799,260933,264183,267582,270873,274222,277605,281077,284650,288321,292038,295686,299498,303384,307318,311304,315303,319297,323431,327666,331889,336241,340717,344995,349460,354013,358592,363370,368032,372753,377793,382867,387946,393060,398233
1,1,3,5,5,6,9,12,13,15,15,15,15,17,19,20,22,25,30,32,36,41,49,52,58,66,71,82,88,103,113,125,138,154,166,181,197,222,245,268,301,320,347,372,391,410,433,460,501,551,591,635,671,712,746,783,825,864,907,961,1007,1055,1097,1165,1209,1261,1328,1383,1434,1484,1542,1606,1673,1732,1800,1866,1934,2009,2072,2139,2223,2297,2378,2467,2538,2611,2675,2738,2809,2898,2979,3066,3174,3258,3358,3461,3552,3650,3759,3856,3970,4080,4184,4289,4402,4525,4650,4779,4914,5038,5152,5290,5439,5589,5730,5879,6048,6205,6372,6511,6681,6855,7020,7203,7389,7550,7746,7931,8123,8341,8529,8723,8895,9079,9252,9444,9638,9833,10014,10215,10410,10610,10830,11048,11249,11457,11657,11874,12108,12314,12588,12837,13106,13349,13617,13869,14090,14386,14661,14925,15217,15512,15802,16110,16427,16745,17064,17394,17759,18141,18493,18849,19196,19556,19924,20305,20688,21114,21554,21979,22419,22860,23297,23734,24202,24654,25071,25567,26055,26496,26961,27444,27939,28440,28963,29414,29892,30379,30915,31412,31904,32397,32906,33413,33917,34411,34913,35442,35927,36454,36995,37555,38098,38661,39246,39843,40478,41103,41773,42428,43129,43823,44494,45205,45917,46716,47503,48291,49037,49865,50665,51518,52375,53185,54059,54927,55811,56689,57576,58484,59372,60270,61206,62204,63226,64217,65227,66243,67286,68304,69341,70356,71388,72476,73500,74578,75694,76816,77911,79045,80230,81325,82509,83644,84908,86121,87339,88628,89866,91098,92354,93682,95045,96328,97749,99122,100506,101968,103442,104930,106402,107856,109401,110902,112470,113963,115530,117112,118690,120308,121950,123692,125436,127178,128942,130696,132503,134351,136207,138010,139895,141760,143720,145618,147566,149604,151669,153710,155833,157974,160118,162274,164482,166767,169031,171370,173744,176097,178572,181031,183588,186138,188793,191386,194128,196805,199593,202265,205079,207867,210804,213711,216700,219836,222951,226038,229129,232359,235595,238766,242008,245451,248811,252269,255808,259369,263057,266705,270474,274301,278150,282046,286057,290034,294132,298320,302563,306848,311133,315487,319965,324464,329170,333781,338548,343366,348278,353126,358055,363141,368245,373431,378618,383979,389421,394746,400189,405622,411270,416834,422478,428278,434163,440031,445996,452071,458314,464633,471091,477477,483866,490334,496980,503812,510750,517927,525007,532410,539647,547066,554644,562350,570175,578026,585992,594124,602381,610651,618804,627369,636062,644658,653319,662070,671044,680276,689407,698590,708015,717390,727052,736755,746511,756339,766271,776116,786152,796553,806896,817623,828367,839204,850351,861515,872887,884147,895729,907493,919484,931603,943637,955983,968454,981184,993844,1006647,1019751,1032898,1046351,1059801,1073462,1087152,1101080,1114978,1129138,1143117,1157567,1172205,1187061,1201901,1217051,1232266,1247604,1263154,1278859,1294996,1311311,1327609,1344018,1360647,1377389,1394484,1411650,1429176,1446924,1464678,1482851,1501241,1519537,1538122,1556611,1575296,1594093,1613217,1632803,1652306,1671891,1691717,1711788,1732134,1752632,1773288,1794095,1815290,1836754,1858251,1880191
1,1,1,1,1,1,1,3,3,5,6,7,7,8,10,13,15,18,18,20,26,31,35,41,48,54,55,62,67,74,84,90,96,101,115,119,124,132,140,153,159,168,175,192,209,217,224,230,240,250,266,273,282,299,311,320,326,345,360,376,388,402,415,425,449,466,474,490,508,524,548,583,599,622,637,666,688,713,740,773,799,839,872,911,936,978,1001,1027,1066,1095,1130,1177,1225,1263,1320,1373,1430,1485,1531,1596,1653,1715,1748,1803,1842,1884,1927,1972,2018,2065,2106,2154,2195,2233,2270,2305,2342,2377,2415,2459,2506,2554,2598,2646,2697,2742,2780,2831,2884,2933,2997,3058,3121,3186,3257,3317,3375,3447,3511,3571,3637,3683,3742,3796,3858,3925,3981,4049,4124,4181,4256,4318,4393,4462,4515,4580,4647,4694,4757,4815,4879,4932,4999,5060,5112,5166,5228,5294,5355,5423,5492,5545,5609,5665,5733,5810,5889,5977,6053,6124,6204,6282,6368,6451,6549,6656,6745,6845,6939,7052,7161,7269,7383,7492,7609,7700,7828,7940,8077,8183,8299,8432,8561,8675,8795,8922,9050,9194,9316,9436,9578,9718,9874,10003,10147,10302,10449,10628,10797,10970,11143,11298,11472,11637,11840,12027,12205,12408,12599,12831,13033,13241,13467,13674,13881,14128,14363,14595,14825,15069,15321,15568,15837,16082,16340,16601,16889,17174,17433,17713,17987,18262,18534,18791,19071,19368,19652,19937,20213,20543,20814,21060,21312,21619,21910,22205,22511,22816,23137,23472,23803,24162,24486,24795,25104,25442,25784,26123,26475,26884,27247,27616,27968,28326,28699,29098,29484,29877,30295,30692,31081,31485,31863,32291,32737,33159,33588,34041,34437,34888,35362,35796,36266,36741,37203,37693,38202,38695,39223,39710,40231,40761,41284,41831,42376,42944,43493,44029,44593,45202,45812,46407,47044,47666,48243,48846,49493,50137,50820,51458,52116,52795,53522,54269,55005,55703,56410,57172,57922,58682,59477,60315,61096,61917,62768,63596,64490,65363,66286,67166,68020,69021,69970,70828,71752,72766,73770,74851,75898,76974,78024,79115,80213,81355,82435,83556,84658,85776,86976,88105,89293,90519,91729,93021,94203,95585,96804,98145,99449,100773,102134,103546,104930,106288,107729,109122,110636,112090,113565,115131,116686,118240,119792,121323,122828,124469,126108,127764,129458,131120,132776,134516,136295,138070,139887,141672,143509,145406,147297,149291,151270,153236,155231,157277,159381,161493,163696,165955,168175,170502,172831,175180,177519,179967,182466,184956,187480,190019,192532,195119,197781,200445,203198,206004,208719,211566,214433,217359,220344,223348,226284,229363,232406,235601,238708,241920,245206,248388,251864,255121,258535,261918,265614,269319,273125,276883,280736,284660,288736,292716,296865,301055,305249,309505,313757,318294,322791,327324,331750,336318,341084,345802,350520,355421,360381,365372,370447,375356,380488,385658,390925,396371,401801,407230,412986,418629,424222,429965,435830,441669,447699,453741,460115,466273,472714,478995,485516
1,1,1,1,1,3,4,6,7,8,9,10,11,13,18,21,23,30,34,36,39,42,48,57,66,74,80,90,103,111,120,129,142,153,166,178,192,205,217,225,234,245,254,260,275,288,303,312,324,337,346,365,383,394,411,425,442,456,476,503,523,546,562,591,611,635,653,674,706,728,755,779,810,846,884,920,961,1015,1053,1088,1135,1170,1216,1251,1294,1346,1406,1462,1514,1586,1647,1697,1755,1816,1870,1928,1996,2057,2126,2191,2261,2328,2378,2436,2507,2573,2639,2711,2789,2860,2924,3001,3098,3170,3244,3319,3397,3483,3560,3645,3717,3817,3931,4030,4113,4198,4308,4398,4490,4593,4705,4797,4902,5009,5116,5225,5338,5467,5576,5692,5807,5925,6061,6201,6325,6445,6601,6748,6888,7033,7185,7346,7499,7655,7801,7971,8129,8295,8446,8618,8776,8949,9107,9306,9480,9636,9799,9988,10184,10362,10563,10799,10992,11206,11407,11656,11885,12115,12382,12624,12892,13145,13444,13708,13995,14272,14567,14867,15179,15513,15788,16106,16399,16702,17060,17407,17773,18134,18478,18841,19221,19581,19923,20323,20705,21051,21434,21852,22246,22643,23037,23444,23929,24392,24841,25297,25745,26234,26705,27182,27672,28207,28671,29168,29671,30140,30651,31170,31661,32198,32695,33291,33841,34377,34913,35492,36052,36570,37145,37737,38345,38921,39503,40106,40664,41197,41793,42430,43049,43701,44336,44971,45631,46275,46915,47579,48200,48894,49575,50312,51023,51712,52470,53228,53976,54748,55576,56367,57181,58013,58795,59640,60513,61372,62261,63180,64048,64922,65864,66846,67772,68705,69677,70629,71636,72638,73642,74703,75809,76848,77926,79041,80138,81202,82375,83480,84635,85773,86944,88152,89383,90590,91865,93189,94559,95844,97097,98481,99815,101237,102671,104119,105508,106923,108357,109867,111355,112825,114349,115945,117486,119111,120642,122306,123943,125582,127308,128976,130720,132434,134165,135917,137639,139481,141308,143171,145024,146922,148854,150818,152851,154902,156940,159041,161174,163316,165500,167639,169781,171992,174235,176505,178876,181200,183593,186068,188425,190852,193397,195941,198347,200871,203350,205955,208458,211141,213762,216478,219234,221899,224867,227702,230545,233485,236424,239322,242354,245415,248629,251921,255220,258485,261749,265235,268662,272179,275839,279408,283107,286893,290596,294274,298268,302172,306069,310064,314061,318114,322364,326733,330980,335374,339828,344300,348734,353368,358012,362678,367466,372174,377123,382077,387117,392039,397115,402318,407433,412636,418065,423473,428891,434336,439855,445436,451106,456842,462679,468573,474721,480894,486955,493116,499211,505443,511785,518157,524631,531198,537861,544564,551304,558158,565195,572233,579244,586456,593924,601272,608776,616066,623766,631497,639393,647249,655173,663059,671346,679463,687915,696298,704891,713551,722330,731265,740338,749377,758348,767605,776877,786083,795530,805103,814602,824145,833869,843760,853902,864053,874317,884610,895087,905592,916244,927107,938026,949142,960220,971378,982697,994058,1005682,1017445,1029119,1041089,1053399,1065661,1077907
1,1,1,1,4,6,8,11,13,14,14,15,17,22,27,31,38,39,43,51,63,70,76,88,95,100,114,125,144,156,168,177,184,196,208,222,235,247,259,278,291,309,329,346,361,383,398,416,439,451,470,482,505,532,546,564,587,604,636,663,678,705,724,749,773,793,823,855,875,913,939,987,1023,1060,1100,1139,1179,1218,1264,1316,1365,1423,1466,1533,1588,1642,1695,1751,1812,1865,1921,1984,2040,2093,2158,2236,2307,2388,2455,2529,2588,2663,2728,2801,2896,2981,3067,3135,3217,3292,3380,3493,3579,3668,3771,3868,3967,4060,4163,4256,4365,4451,4566,4669,4763,4863,4963,5084,5199,5309,5404,5514,5615,5733,5849,5965,6063,6171,6286,6384,6485,6580,6695,6799,6904,7023,7125,7261,7372,7486,7616,7753,7877,8013,8150,8276,8425,8580,8712,8866,9044,9221,9382,9541,9709,9899,10064,10272,10471,10684,10910,11128,11327,11548,11792,11971,12176,12371,12580,12822,13039,13265,13486,13738,13986,14234,14480,14765,15019,15293,15596,15892,16193,16486,16793,17096,17416,17714,18037,18392,18731,19090,19425,19750,20127,20517,20934,21314,21692,22081,22525,22954,23371,23783,24222,24660,25098,25566,26046,26516,26954,27401,27858,28348,28840,29317,29811,30293,30832,31334,31885,32445,33026,33582,34136,34684,35289,35854,36464,37062,37690,38294,38903,39540,40183,40858,41474,42173,42883,43625,44378,45133,45894,46689,47516,48367,49150,49974,50826,51705,52639,53542,54380,55259,56178,57127,58027,59031,60009,61023,62044,63062,64080,65139,66170,67283,68330,69422,70558,71649,72793,73890,75103,76292,77465,78708,79923,81145,82473,83733,85075,86505,87919,89278,90686,92128,93543,95068,96636,98149,99743,101303,103009,104675,106338,108036,109710,111521,113219,114952,116849,118771,120659,122525,124420,126319,128352,130297,132390,134421,136487,138495,140644,142811,144927,147055,149180,151382,153615,155805,158104,160523,162817,165090,167413,169841,172220,174626,177055,179573,182190,184824,187464,190082,192787,195588,198260,200963,203851,206738,209570,212375,215291,218377,221446,224607,227859,231076,234314,237664,241039,244460,247963,251451,255190,258888,262478,266215,269955,273756,277644,281506,285419,289478,293600,297729,301903,306111,310337,314581,318923,323293,327683,331991,336578,341107,345703,350432,355159,359957,364856,369810,374946,380043,385138,390424,395778,401243,406768,412377,418075,423883,429577,435547,441786,447966,454055,460389,466747,472980,479468,486039,492573,499373,506203,513110,520197,527308,534459,541511,549051,556542,564061,571521,579025,586707,594526,602423,610259,618168,626276,634162,642329,650585,659036,667687,676258,684801,693491,702195,711143,720170,729109,738214,747529,756856,766346,775906,785513,795389,805444,815691,825911,836293,846949,857520,868241,879099,890000,900990,912381,923693,935024,946698,958415,970262,982423,994552,1006929,1019445,1032134,1044868,1057536,1070645,1083913,1097219,1110626,1124128,1137722,1151581,1165607,1179996,1194137,1208414,1223116,1238125,1253168,1268269,1283618,1299017,1314860,1330629,1346732,1362871,1379027,1395449,1411940
1,1,1,1,1,2,3,3,3,4,5,9,10,10,10,12,12,12,14,22,28,29,33,38,40,52,59,61,69,76,89,104,111,124,131,139,152,161,175,187,196,204,213,225,241,248,257,268,282,299,317,332,340,361,375,386,394,409,423,430,447,465,483,500,521,535,551,569,583,603,618,644,663,692,714,738,765,803,847,885,920,952,982,1015,1038,1080,1122,1159,1190,1249,1293,1337,1378,1414,1457,1499,1557,1603,1650,1700,1749,1797,1856,1901,1965,2014,2064,2122,2178,2249,2312,2404,2461,2519,2577,2649,2740,2801,2860,2939,3010,3077,3142,3228,3297,3361,3430,3500,3568,3637,3732,3809,3899,3977,4060,4144,4253,4360,4461,4569,4678,4788,4906,5012,5122,5253,5396,5508,5645,5792,5932,6047,6177,6338,6498,6683,6815,6976,7138,7277,7454,7613,7782,7948,8114,8280,8463,8659,8828,8984,9133,9298,9471,9649,9852,10017,10202,10417,10634,10864,11071,11296,11496,11707,11912,12102,12320,12562,12811,13020,13244,13495,13721,13964,14183,14389,14640,14875,15128,15362,15643,15900,16169,16462,16740,16995,17245,17511,17766,18045,18293,18552,18833,19098,19392,19688,19990,20280,20561,20817,21116,21442,21761,22110,22430,22796,23139,23509,23846,24176,24537,24898,25284,25649,26071,26518,26956,27385,27831,28257,28758,29252,29729,30230,30739,31221,31720,32206,32740,33262,33791,34347,34937,35467,36028,36620,37235,37833,38447,39101,39776,40398,41007,41638,42236,42883,43571,44238,44907,45601,46299,47001,47710,48419,49155,49914,50667,51414,52237,53041,53893,54734,55643,56540,57486,58484,59452,60404,61377,62385,63410,64508,65535,66639,67786,68873,70057,71273,72498,73719,75009,76297,77606,78965,80347,81696,83122,84497,85958,87494,89049,90616,92215,93786,95425,97075,98626,100283,101940,103688,105461,107224,109074,110857,112598,114442,116346,118258,120101,122093,124098,126206,128244,130328,132392,134498,136623,138746,140878,143034,145241,147444,149756,152058,154375,156734,159074,161475,163977,166445,168913,171450,173950,176494,179165,181742,184412,187084,189780,192535,195342,198201,200971,203864,206837,209873,212777,215765,218708,221843,225002,228222,231497,234678,238003,241339,244700,248115,251615,255024,258612,262208,265791,269409,273073,276874,280711,284503,288222,292063,295954,299805,303700,307675,311684,315668,319841,324024,328291,332571,336993,341426,345677,350330,354817,359349,364134,368948,373660,378589,383502,388603,393691,398926,404246,409610,414903,420298,425656,431043,436556,442238,447912,453738,459522,465378,471387,477391,483564,489842,496028,502383,508844,515291,521849,528475,535200,541897,548879,555793,562961,569986,577270,584635,592089,599654,607339,615065,622949,630827,638980,647193,655537,664058,672639,681351,690126,699113,708067,717044,726389,735822,745353,754990,764840,774609,784619,794688,805059,815512,826004,836678,847336,857972,868927,879979,891041,902324,913692,925212,936832,948568,960256,972065,984192,996350,1008653,1021285,1033928,1046804,1059722,1072770,1085976,1099594,1113025,1126943,1140903
1,1,1,2,2,2,4,6,6,8,10,12,14,18,21,23,28,29,32,38,43,49,59,64,69,75,80,95,100,109,128,137,152,171,185,201,215,231,257,275,304,326,347,364,388,405,424,445,455,471,487,505,515,525,536,556,575,597,614,633,645,667,682,702,719,736,744,756,774,786,810,822,837,855,874,890,902,920,935,953,966,983,995,1007,1029,1045,1063,1075,1091,1103,1113,1134,1157,1175,1193,1209,1234,1257,1278,1297,1308,1328,1355,1386,1410,1434,1464,1480,1505,1528,1560,1585,1610,1637,1666,1691,1719,1757,1800,1837,1858,1901,1948,1994,2043,2109,2168,2225,2291,2366,2431,2493,2554,2614,2697,2749,2822,2912,2989,3070,3157,3234,3313,3408,3487,3563,3653,3742,3835,3929,4026,4132,4229,4313,4416,4496,4582,4677,4787,4887,4980,5066,5163,5276,5373,5469,5575,5676,5781,5895,6016,6142,6237,6344,6454,6581,6688,6824,6957,7095,7215,7336,7502,7640,7788,7934,8097,8224,8357,8521,8636,8786,8937,9098,9259,9420,9565,9718,9879,10065,10240,10418,10594,10813,10994,11186,11376,11550,11745,11969,12191,12405,12634,12848,13046,13261,13502,13762,13981,14237,14487,14760,15064,15327,15609,15882,16162,16455,16745,17030,17323,17620,17949,18291,18617,18954,19343,19718,20074,20453,20853,21261,21633,22055,22473,22940,23368,23828,24272,24715,25209,25712,26204,26700,27179,27658,28156,28662,29161,29704,30214,30749,31325,31871,32430,33043,33603,34195,34791,35459,36077,36752,37416,38071,38753,39484,40193,40906,41634,42402,43208,44033,44782,45624,46406,47214,48153,49034,49968,50911,51853,52839,53827,54812,55806,56874,57895,59002,60135,61231,62443,63655,64824,65986,67301,68499,69751,70987,72281,73618,74914,76244,77521,78863,80259,81679,83061,84508,85893,87393,89002,90548,92204,93805,95457,97219,98974,100736,102505,104334,106184,108025,109996,111950,114061,116042,118081,120192,122388,124510,126722,128956,131152,133467,135836,138118,140448,142869,145321,147848,150410,152898,155474,158125,160860,163622,166345,169048,171946,174859,177584,180533,183317,186326,189364,192484,195554,198558,201660,204912,207991,211253,214535,217805,221219,224535,227956,231551,235056,238664,242190,245771,249418,253108,256936,260845,264752,268550,272572,276551,280428,284559,288770,292840,297149,301493,305780,310310,314772,319247,323844,328533,333305,338219,343132,347970,352922,357961,363182,368365,373670,379092,384608,390043,395730,401345,407132,413086,419051,425056,430960,436942,442928,449141,455346,461859,468292,474925,481531,488144,494891,501682,508618,515586,522681,529853,536969,544183,551476,558937,566422,573976,581612,589436,597172,605033,612954,621061,629288,637525,645827,654287,662683,671252,679813,688535,697376,706390,715562,724664,733842,743344,752752,762304,772012,781792,791737,801742,811944,822304,832763,843327,853985,864671,875615,886636,897648,908887,920311,931884,943508,955286,967235,979343,991718,1004191,1016664,1029239,1041943,1054834,1067843,1081052,1094257,1107863,1121220,1135097,1149169
1,1,1,1,1,1,1,1,2,2,4,4,6,8,9,14,19,25,29,34,43,51,57,65,74,84,95,106,122,127,137,148,157,162,173,180,192,203,209,220,228,241,246,249,257,263,277,293,307,313,323,336,344,351,359,371,379,385,398,414,423,435,442,449,457,471,478,488,494,504,513,527,539,548,562,567,575,582,589,597,605,619,632,643,656,671,683,699,719,734,749,763,788,813,834,856,877,890,905,925,933,951,965,979,996,1021,1040,1068,1083,1105,1115,1131,1142,1159,1176,1201,1216,1236,1252,1273,1290,1304,1315,1328,1344,1360,1386,1413,1439,1457,1489,1522,1549,1575,1603,1623,1655,1692,1725,1776,1809,1836,1868,1906,1947,1977,2011,2052,2079,2113,2148,2177,2208,2241,2269,2289,2315,2343,2361,2380,2408,2424,2441,2473,2495,2523,2543,2565,2589,2610,2627,2649,2682,2710,2741,2773,2806,2838,2872,2906,2937,2984,3016,3054,3091,3134,3179,3234,3289,3335,3381,3418,3462,3512,3562,3607,3662,3704,3739,3791,3844,3906,3958,4009,4071,4132,4197,4251,4312,4378,4445,4512,4565,4611,4678,4744,4823,4899,4975,5044,5137,5209,5260,5333,5418,5509,5594,5691,5796,5880,5973,6060,6146,6250,6364,6499,6627,6726,6836,6965,7084,7228,7336,7460,7595,7736,7871,8001,8134,8267,8404,8510,8626,8766,8919,9056,9189,9341,9478,9621,9775,9892,10053,10230,10422,10585,10741,10903,11072,11231,11420,11593,11752,11921,12077,12235,12402,12548,12693,12858,13034,13180,13342,13486,13630,13815,13996,14147,14309,14485,14653,14821,14996,15197,15372,15534,15701,15900,16095,16297,16515,16688,16890,17103,17292,17488,17666,17876,18079,18285,18483,18693,18915,19135,19331,19546,19751,19942,20166,20366,20591,20810,21044,21254,21470,21693,21934,22152,22353,22560,22770,23004,23228,23440,23654,23880,24126,24342,24577,24822,25053,25291,25533,25759,26010,26255,26521,26801,27047,27325,27613,27846,28105,28389,28707,29007,29305,29615,29919,30236,30557,30882,31218,31556,31928,32274,32634,33025,33399,33777,34157,34523,34974,35395,35806,36239,36648,37067,37536,38026,38505,38952,39393,39901,40381,40905,41432,42004,42526,43100,43676,44261,44864,45491,46144,46803,47483,48132,48857,49576,50287,50994,51696,52489,53247,53968,54836,55675,56515,57349,58224,59040,59941,60802,61719,62625,63565,64511,65543,66597,67595,68593,69655,70681,71711,72777,73779,74896,75940,77042,78137,79256,80379,81487,82649,83769,84895,86123,87203,88403,89573,90809,92047,93292,94537,95796,97015,98310,99617,100937,102280,103671,105029,106402,107861,109323,110771,112293,113848,115404,117026,118633,120220,121892,123622,125344,127128,128892,130632,132461,134235,136012,137863,139725,141603,143641,145581,147402,149301,151305,153320,155400,157439,159488,161603,163716,165934,168042,170242,172351,174626,176868,179143,181479,183865,186286,188716
1,1,1,1,1,1,3,5,7,10,10,13,14,15,23,27,32,38,41,45,48,59,63,73,85,90,96,102,108,116,122,129,143,152,158,167,175,182,187,193,199,203,212,222,229,237,250,258,262,274,284,290,297,303,313,321,332,339,351,365,380,395,404,415,431,447,460,478,493,502,518,543,564,590,611,632,658,680,708,737,768,792,816,843,867,895,933,967,992,1024,1055,1097,1138,1167,1204,1235,1284,1319,1361,1418,1464,1510,1568,1619,1663,1724,1795,1846,1909,1966,2020,2068,2131,2177,2242,2308,2364,2420,2480,2535,2589,2658,2718,2781,2835,2885,2949,3004,3067,3123,3196,3260,3334,3399,3465,3533,3605,3675,3747,3827,3896,3970,4027,4091,4155,4207,4293,4359,4428,4499,4571,4634,4689,4772,4853,4927,5001,5074,5148,5232,5314,5389,5474,5566,5655,5762,5879,5975,6078,6187,6281,6385,6507,6614,6748,6868,7005,7125,7230,7368,7493,7610,7738,7883,8009,8124,8280,8418,8560,8709,8850,8977,9118,9278,9424,9575,9716,9876,10026,10172,10309,10467,10636,10797,10962,11144,11316,11498,11671,11848,12036,12211,12402,12589,12766,12964,13147,13325,13534,13730,13959,14161,14374,14599,14826,15043,15289,15506,15717,15946,16167,16389,16607,16817,17018,17258,17525,17760,17967,18227,18465,18717,18951,19207,19438,19672,19895,20142,20388,20639,20912,21158,21423,21687,21937,22215,22482,22761,23059,23312,23612,23902,24183,24502,24804,25127,25445,25799,26142,26501,26863,27228,27594,27942,28325,28723,29116,29538,29929,30345,30736,31115,31542,31985,32433,32906,33345,33853,34277,34716,35156,35637,36111,36616,37100,37630,38169,38696,39232,39801,40365,40912,41504,42012,42554,43135,43711,44287,44820,45408,46011,46630,47291,47934,48563,49137,49749,50440,51081,51767,52487,53242,53943,54660,55468,56192,56911,57624,58386,59168,59937,60745,61556,62419,63271,64073,64926,65753,66625,67509,68367,69234,70090,70986,71951,72881,73811,74741,75686,76672,77605,78551,79545,80547,81593,82596,83642,84748,85810,86950,88054,89205,90371,91592,92820,94069,95294,96626,97934,99298,100647,102028,103472,104867,106311,107715,109267,110704,112224,113866,115433,117052,118741,120420,122082,123806,125567,127292,129100,130899,132762,134606,136476,138413,140291,142180,144074,145987,147872,149851,151968,153967,156059,158097,160213,162350,164493,166735,168862,171072,173443,175896,178357,180829,183243,185728,188175,190622,193154,195688,198279,200893,203595,206452,209168,212043,215001,217889,220825,223806,226762,229760,232832,235947,239073,242397,245701,249062,252469,255944,259391,262956,266574,270203,273876,277615,281531,285336,289298,293271,297380,301602,305868,310201,314553,319079,323496,327985,332756,337498,342229,347023,351974,356902,361952,367058,372016,377163,382403,387688,393128,398606,404114,409712,415392,421100,426892,432837,438759,444832,450973,457038,463276,469612,475957,482258,488718,495268,502051,508673,515506,522419,529406,536437,543635,550915,558333
1,1,1,1,1,1,4,5,9,9,9,10,13,17,20,25,27,33,38,46,50,56,68,74,84,94,103,113,120,130,140,146,155,160,169,175,180,192,204,215,221,228,232,236,241,253,263,270,279,289,302,314,321,332,353,371,377,386,397,408,423,438,451,466,482,497,506,516,531,543,558,570,592,611,631,647,664,677,686,708,731,752,773,791,812,837,858,882,908,935,953,983,1019,1044,1080,1110,1134,1174,1210,1247,1279,1317,1352,1393,1425,1479,1511,1545,1579,1614,1660,1696,1733,1789,1828,1871,1903,1940,1983,2025,2057,2100,2150,2201,2251,2295,2334,2368,2415,2457,2507,2542,2605,2648,2681,2735,2788,2828,2890,2939,2989,3045,3088,3144,3187,3262,3330,3383,3446,3492,3553,3605,3669,3732,3808,3863,3933,4010,4083,4156,4245,4314,4383,4464,4554,4638,4729,4803,4882,4946,5022,5109,5182,5265,5353,5428,5511,5587,5681,5752,5842,5931,6012,6095,6209,6306,6407,6532,6654,6757,6879,7010,7138,7255,7387,7526,7647,7800,7933,8081,8216,8344,8490,8627,8746,8879,9023,9183,9346,9494,9637,9785,9920,10076,10222,10364,10511,10694,10861,11038,11198,11379,11574,11765,11924,12113,12296,12468,12689,12922,13120,13334,13544,13781,14038,14265,14501,14773,15040,15296,15550,15810,16107,16387,16667,16942,17235,17541,17821,18155,18482,18782,19112,19456,19792,20191,20549,20909,21248,21614,21981,22376,22765,23172,23535,23897,24289,24632,24996,25394,25789,26156,26549,26983,27374,27818,28256,28684,29120,29554,29972,30405,30836,31288,31736,32200,32680,33184,33661,34201,34715,35270,35819,36366,36918,37451,37980,38550,39096,39713,40301,40929,41531,42173,42818,43465,44132,44757,45448,46131,46798,47428,48054,48717,49400,50129,50841,51556,52282,53047,53786,54532,55331,56130,56986,57818,58612,59441,60292,61153,61984,62859,63778,64672,65584,66522,67457,68428,69397,70372,71354,72345,73330,74378,75418,76482,77535,78670,79772,80820,81948,83203,84429,85646,86911,88189,89435,90737,92063,93325,94648,95900,97290,98654,100018,101447,102901,104326,105860,107368,108827,110390,112016,113612,115283,116988,118735,120474,122313,124159,126039,127870,129717,131731,133660,135548,137482,139493,141499,143650,145692,147745,149818,152028,154266,156490,158849,161097,163495,165875,168305,170740,173149,175623,178053,180619,183268,185814,188477,191158,193916,196647,199399,202091,204867,207645,210533,213422,216378,219373,222351,225279,228362,231493,234656,237846,241076,244424,247811,251199,254667,258167,261631,265260,268879,272658,276388,280219,284034,287990,291911,295872,300028,304410,308712,313002,317398,321797,326154,330624,335229,339886,344669,349414,354242,359130,364033,368991,374039,379164,384384,389748,395307,400845,406328,411962,417590,423377,429207,435104,441107,447228,453476,459865,466335,472854,479476,486071,492939,499915,507026,514136,521431,528676,536180,543600,551216,559038,566899,574819,582864,590960,599110,607501,615888,624381,632997
1,1,1,1,1,1,5,5,6,8,9,11,12,12,18,19,23,29,33,39,45,52,58,67,71,78,84,95,109,119,129,136,147,152,164,169,175,186,199,206,216,228,234,239,247,260,268,283,290,299,304,313,321,332,343,361,369,384,391,401,416,425,433,440,456,467,478,491,502,513,526,541,554,563,576,589,604,618,630,639,650,664,676,692,705,722,738,755,778,792,811,830,838,860,881,900,914,934,957,977,997,1026,1052,1072,1093,1114,1126,1155,1173,1189,1217,1234,1251,1266,1295,1317,1347,1372,1406,1446,1473,1501,1536,1565,1601,1632,1668,1708,1730,1776,1814,1848,1896,1939,1978,2019,2065,2108,2141,2188,2228,2277,2314,2362,2408,2441,2486,2518,2549,2589,2626,2663,2713,2757,2797,2849,2899,2966,3023,3064,3107,3149,3200,3263,3306,3373,3427,3481,3550,3608,3655,3717,3777,3834,3901,3956,4017,4078,4130,4185,4251,4318,4362,4424,4488,4552,4622,4688,4741,4808,4877,4944,5012,5089,5172,5265,5348,5446,5523,5635,5726,5816,5925,6029,6145,6243,6359,6479,6568,6666,6780,6920,7077,7192,7302,7441,7552,7662,7784,7919,8056,8194,8327,8457,8629,8774,8906,9048,9185,9346,9482,9671,9809,9933,10058,10179,10323,10464,10597,10736,10844,10978,11093,11233,11355,11511,11628,11761,11897,12036,12169,12298,12436,12593,12753,12909,13059,13229,13395,13565,13730,13904,14087,14258,14429,14598,14790,15003,15174,15354,15522,15699,15862,16067,16252,16441,16619,16799,16972,17161,17333,17497,17678,17905,18109,18315,18534,18762,18967,19168,19401,19623,19872,20128,20353,20571,20835,21085,21339,21604,21862,22145,22407,22706,22977,23271,23601,23893,24223,24530,24818,25136,25451,25783,26087,26438,26774,27095,27443,27772,28132,28503,28891,29259,29642,30060,30462,30861,31252,31639,32066,32518,32987,33469,33904,34312,34760,35206,35685,36177,36644,37124,37614,38113,38620,39138,39609,40172,40659,41161,41713,42248,42789,43298,43888,44433,44992,45546,46132,46691,47306,47953,48607,49217,49894,50526,51094,51758,52453,53134,53787,54478,55152,55879,56632,57398,58118,58885,59609,60343,61076,61846,62607,63416,64197,65061,65836,66727,67556,68419,69350,70266,71149,72090,73065,74070,75061,75980,76927,77917,78915,79937,81056,82058,83133,84263,85359,86438,87602,88729,89926,91132,92337,93553,94751,96005,97243,98516,99759,101039,102402,103820,105224,106697,108127,109645,111159,112829,114457,116081,117787,119486,121202,122999,124797,126618,128491,130379,132294,134261,136186,138144,140120,142083,144125,146236,148356,150468,152559,154769,157044,159283,161517,163791,166145,168478,170852,173320,175690,178112,180594,183113,185761,188487,191131,193845,196496,199235,202051,204949,207814,210672,213635,216626,219630,222701,225764,228905,232099,235314,238522,241923,245335,248837,252349,256010,259697,263379,267176,270885,274679,278514,282406,286472,290496,294620,298749
1,1,1,4,4,4,8,13,16,16,19,22,27,29,33,35,43,52,61,77,82,97,106,115,126,134,142,149,161,171,188,198,217,227,241,257,277,297,315,337,358,387,413,439,470,507,542,578,611,650,684,735,774,809,856,903,959,1017,1073,1125,1180,1237,1299,1363,1435,1495,1557,1631,1714,1765,1837,1912,1982,2063,2125,2208,2296,2381,2444,2533,2606,2697,2783,2857,2932,3004,3083,3151,3220,3282,3351,3422,3488,3554,3623,3700,3783,3865,3930,4000,4081,4172,4270,4371,4465,4547,4672,4775,4868,4986,5092,5203,5331,5440,5556,5675,5792,5936,6053,6173,6284,6384,6486,6612,6717,6864,6988,7128,7270,7398,7535,7687,7824,7957,8087,8237,8387,8535,8697,8827,8966,9132,9306,9469,9617,9771,9928,10096,10274,10469,10649,10835,11028,11215,11434,11658,11849,12053,12285,12500,12725,12975,13169,13391,13621,13829,14043,14255,14469,14665,14869,15065,15246,15456,15657,15894,16131,16384,16624,16861,17091,17322,17586,17853,18077,18313,18580,18825,19090,19360,19615,19901,20195,20464,20745,21033,21308,21557,21820,22124,22467,22782,23089,23361,23645,23983,24281,24609,24957,25302,25671,26030,26358,26698,27070,27442,27791,28160,28549,28922,29335,29777,30147,30557,30948,31378,31821,32303,32773,33251,33683,34179,34652,35139,35590,36067,36592,37086,37553,38089,38622,39139,39686,40208,40767,41316,41838,42441,42991,43565,44162,44757,45389,45981,46597,47245,47871,48511,49155,49844,50538,51269,51987,52720,53423,54213,54992,55807,56644,57478,58268,59069,59927,60818,61721,62649,63540,64454,65320,66304,67256,68190,69208,70215,71202,72286,73299,74392,75569,76735,77874,79034,80220,81453,82666,83912,85145,86426,87684,88975,90303,91658,93016,94419,95834,97313,98709,100124,101586,103049,104541,106085,107681,109227,110837,112403,113992,115568,117130,118786,120447,122130,123820,125555,127366,129139,130992,132891,134778,136638,138653,140656,142652,144718,146686,148835,150955,153100,155277,157584,159877,162213,164484,166879,169173,171586,174036,176518,178961,181479,184023,186555,189230,191879,194492,197176,199909,202711,205584,208464,211294,214284,217179,220222,223396,226510,229513,232778,236080,239351,242709,246014,249547,253053,256611,260226,263924,267710,271515,275441,279274,283235,287260,291300,295353,299439,303620,307836,312017,316186,320554,325089,329617,334348,338932,343688,348494,353246,358074,363128,368008,373073,378252,383570,388807,394229,399624,405027,410677,416417,422088,427973,433929,439903,446061,452283,458584,464989,471355,477907,484428,491164,497847,504541,511499,518391,525495,532501,539461,546861,554254,561846,569281,576897,584499,592477,600409,608424,616421,624531,632627,640897,649161,657851,666547,675184,684072,692909,701841,710957,720323,729764,739260,748909,758530,768102,778030,787951,797991,808085,818363,828645,839044,849760,860446,871034,881779,892620,903675,915066,926414,937803,949401,960947,972647,984521,996407,1008797,1021094,1033718,1046435,1059234,1072327,1085436,1098808,1112217,1125750,1139583,1153409,1167694,1182000,1196444,1211083,1225629,1240477,1255244,1270362
1,1,1,1,2,2,3,5,6,7,8,10,13,16,18,23,28,34,35,38,49,59,63,73,83,91,105,113,123,131,145,158,164,174,183,192,196,202,209,218,224,229,240,252,259,263,267,276,282,294,300,306,317,327,339,347,358,365,377,390,400,426,450,466,481,504,539,569,597,617,636,659,693,725,754,784,827,857,892,928,975,1035,1082,1128,1176,1235,1273,1312,1354,1402,1450,1495,1541,1591,1639,1698,1752,1813,1862,1908,1957,2018,2068,2115,2178,2245,2298,2351,2393,2459,2514,2565,2628,2682,2770,2846,2927,2999,3070,3145,3216,3286,3382,3482,3561,3646,3725,3799,3882,3969,4085,4171,4259,4339,4447,4558,4660,4767,4849,4937,5040,5142,5253,5334,5421,5497,5591,5681,5783,5889,5959,6037,6120,6205,6285,6358,6435,6505,6591,6665,6745,6818,6908,6978,7052,7137,7220,7309,7400,7498,7574,7686,7778,7882,7992,8092,8219,8331,8428,8537,8658,8767,8920,9040,9152,9268,9402,9541,9672,9781,9906,10033,10174,10301,10440,10562,10697,10847,11006,11145,11299,11449,11598,11720,11876,12059,12205,12367,12527,12668,12841,13009,13182,13349,13537,13719,13895,14085,14256,14460,14643,14834,15029,15259,15493,15704,15947,16179,16428,16648,16900,17160,17430,17683,17975,18269,18521,18814,19132,19450,19771,20064,20383,20692,21019,21337,21655,22019,22363,22717,23064,23455,23832,24179,24586,24945,25314,25735,26167,26616,27059,27451,27878,28315,28753,29218,29707,30205,30655,31177,31669,32169,32699,33271,33790,34399,34946,35496,36047,36651,37242,37815,38387,39004,39627,40229,40834,41477,42136,42794,43514,44193,44903,45630,46252,46974,47704,48409,49101,49865,50680,51432,52217,52980,53801,54605,55438,56267,57088,57923,58768,59678,60582,61441,62276,63215,64145,65039,66013,66996,68024,69036,70082,71131,72218,73295,74420,75498,76596,77737,78910,80064,81232,82487,83732,84969,86253,87481,88653,89897,91179,92462,93764,95030,96380,97698,99031,100366,101802,103152,104503,105987,107340,108703,110090,111546,113003,114544,116056,117658,119196,120728,122231,123824,125479,127071,128664,130359,132058,133703,135429,137088,138881,140704,142558,144461,146317,148230,150174,152090,154045,156116,158121,160197,162179,164304,166470,168627,170939,173109,175435,177796,180098,182464,184866,187391,189854,192395,194997,197556,200171,202880,205552,208255,210911,213658,216523,219312,222194,225076,228070,231172,234257,237458,240707,243887,247060,250235,253651,257172,260632,264100,267825,271526,275256,279000,282894,286806,290801,294765,298882,302938,307175,311520,315869,320307,324729,329286,333799,338341,343050,347830,352790,357601,362585,367707,372907,378204,383410,388931,394346,399967,405655,411415,417193,422997,428945,434793,440759,446762,452906,459079,465353,471762,478317,485007,491586,498423,505380,512341,519402,526758,534197,541775,549272,556980,564747,572521,580526,588569,596714,605091,613360,621781,630467,639287,648130,657220,666207,675487,684677,694332,704047,713879,723727,733883,744003
1,1,3,4,9,9,11,12,20,23,26,33,39,46,53,56,61,64,70,77,87,99,108,116,124,130,140,156,169,174,180,182,185,192,197,209,213,221,227,234,238,247,250,254,261,267,272,274,278,283,288,290,294,294,300,303,308,317,327,331,340,349,355,362,374,383,394,407,422,433,456,469,487,507,528,554,581,599,621,648,671,697,721,749,776,799,819,862,898,939,971,997,1024,1058,1091,1129,1162,1194,1228,1269,1301,1329,1360,1392,1428,1467,1500,1531,1561,1600,1636,1665,1701,1739,1783,1809,1851,1878,1902,1931,1957,1993,2025,2051,2087,2121,2168,2205,2249,2286,2329,2356,2396,2440,2479,2518,2561,2610,2658,2703,2748,2800,2840,2888,2950,3007,3047,3102,3165,3235,3294,3352,3404,3461,3529,3586,3644,3709,3771,3824,3886,3953,4013,4087,4164,4229,4301,4364,4420,4498,4580,4659,4740,4839,4917,5001,5091,5179,5262,5349,5453,5547,5620,5717,5809,5893,5993,6089,6180,6276,6376,6462,6555,6653,6759,6859,6971,7061,7154,7266,7353,7465,7566,7672,7785,7897,7986,8096,8220,8324,8431,8528,8643,8749,8866,8955,9084,9209,9341,9477,9607,9737,9873,10003,10136,10295,10455,10592,10773,10955,11133,11338,11545,11723,11923,12128,12333,12520,12748,12952,13200,13405,13614,13854,14075,14306,14591,14864,15135,15416,15718,16009,16274,16566,16876,17190,17492,17799,18103,18427,18738,19051,19429,19743,20063,20418,20767,21130,21489,21819,22166,22505,22850,23219,23642,24018,24376,24736,25128,25500,25909,26308,26691,27092,27508,27948,28338,28741,29144,29597,30019,30469,30898,31330,31768,32222,32724,33194,33688,34190,34677,35188,35674,36194,36711,37242,37807,38395,39010,39585,40238,40865,41511,42179,42832,43454,44136,44784,45482,46195,46879,47577,48258,48982,49702,50451,51199,51962,52761,53589,54409,55216,56026,56849,57675,58528,59414,60293,61180,62091,63013,63928,64861,65812,66786,67768,68782,69826,70876,71901,72888,73893,74976,76053,77147,78169,79289,80373,81506,82625,83747,84844,85982,87194,88375,89606,90843,92123,93373,94647,95869,97217,98521,99842,101234,102654,104118,105525,107038,108478,109939,111522,113126,114693,116258,117804,119439,121140,122769,124463,126268,127969,129709,131451,133317,135205,137065,138932,140810,142786,144851,146809,148858,150880,152929,155081,157268,159492,161715,163964,166167,168428,170752,173154,175455,177841,180337,182804,185271,187746,190473,193022,195615,198218,200957,203634,206408,209273,212087,214993,217986,220981,224117,227134,230186,233298,236488,239646,242953,246343,249760,253184,256846,260347,263922,267635,271288,275063,278898,282801,286803,290724,294705,298846,303004,307125,311541,315881,320241,324742,329174,333689,338135,342619,347228,351917,356715,361371,366262,370930,375737,380699,385723,390670,395726,400960,406088,411431,416693,422024,427281,432672,438102,443576,449142,454816,460471,466125,471822,477716,483722,489808,495949,502103,508267,514504,520898
1,1,1,1,1,4,5,6,9,11,12,22,28,32,34,39,48,52,61,68,78,87,95,99,111,119,128,138,146,152,162,169,174,182,191,202,212,219,229,233,243,249,258,262,266,273,282,289,300,314,331,338,348,354,365,367,373,379,389,399,408,419,431,451,459,471,491,508,515,528,545,561,570,585,596,612,634,650,670,692,723,746,769,798,816,834,869,886,910,938,958,989,1012,1043,1080,1112,1137,1167,1196,1223,1249,1288,1311,1344,1366,1397,1429,1461,1495,1520,1546,1568,1596,1625,1648,1675,1705,1736,1772,1797,1826,1851,1888,1915,1939,1976,2009,2044,2076,2118,2155,2200,2237,2276,2320,2364,2406,2445,2508,2556,2607,2655,2714,2768,2807,2847,2889,2922,2974,3035,3071,3114,3161,3202,3247,3275,3314,3352,3390,3440,3484,3529,3562,3602,3642,3689,3735,3777,3827,3875,3937,3982,4039,4082,4125,4189,4266,4348,4415,4493,4558,4633,4710,4795,4899,4998,5081,5166,5261,5348,5430,5501,5605,5694,5783,5874,5967,6049,6150,6229,6309,6387,6479,6594,6692,6799,6902,7011,7107,7236,7346,7470,7600,7733,7853,7968,8102,8226,8367,8499,8655,8776,8952,9112,9272,9455,9647,9816,10009,10186,10394,10606,10792,11018,11210,11439,11670,11890,12102,12339,12558,12817,13062,13288,13565,13797,14043,14331,14626,14895,15146,15433,15705,15977,16210,16463,16722,17027,17296,17551,17851,18152,18469,18786,19094,19391,19717,20057,20402,20783,21153,21486,21906,22302,22684,23056,23460,23900,24359,24810,25228,25707,26145,26573,27036,27517,27954,28433,28921,29438,29984,30515,31026,31601,32163,32764,33328,33926,34559,35157,35833,36503,37178,37847,38581,39277,40052,40811,41552,42303,43074,43827,44633,45403,46284,47131,48050,48978,49929,50810,51714,52623,53611,54613,55686,56733,57754,58887,60024,61119,62293,63483,64661,65842,67067,68259,69427,70649,71924,73188,74443,75696,76987,78320,79627,80950,82293,83682,85101,86535,88007,89459,90919,92418,93990,95585,97204,98811,100402,102090,103820,105524,107207,108962,110777,112739,114668,116645,118580,120600,122635,124676,126748,128942,131090,133288,135470,137716,139958,142316,144610,146894,149368,151815,154303,156830,159391,162079,164766,167511,170249,172932,175840,178658,181580,184445,187345,190331,193344,196435,199485,202540,205661,208811,212022,215228,218586,221903,225226,228584,231984,235344,238860,242354,245951,249456,253106,256809,260497,264107,267883,271721,275700,279721,283651,287753,291861,296022,300162,304370,308586,312830,317217,321721,326001,330620,335232,339901,344636,349494,354286,359218,364263,369354,374541,379802,385156,390535,396154,401866,407622,413403,419416,425613,431717,438001,444331,450664,457121,463656,470191,477049,484114,490895,498011,505195,512529,519944,527418,535045,542593,550564,558495,566251,574317,582482,590705,599151,607623,616087,624697,633454,642201,651118,660098,669246,678434,687811,697112,706613,716189,726291,736073,746082,756397,766717,777183
1,1,1,1,1,3,6,15,17,20,25,28,31,34,39,42,43,47,52,58,62,70,77,79,88,96,106,112,124,132,139,148,156,164,175,182,192,204,214,225,233,248,256,261,274,283,300,306,321,331,339,353,370,395,415,438,460,491,511,538,563,588,613,646,676,714,736,770,799,837,864,895,920,950,988,1015,1050,1077,1121,1152,1183,1212,1241,1277,1312,1339,1365,1414,1460,1501,1539,1591,1645,1703,1760,1823,1886,1934,1979,2048,2120,2191,2251,2334,2409,2472,2530,2614,2696,2763,2831,2915,2990,3057,3120,3204,3295,3361,3445,3529,3604,3682,3753,3835,3917,4001,4077,4157,4244,4358,4448,4544,4645,4752,4868,4978,5118,5229,5375,5523,5658,5770,5914,6069,6232,6399,6546,6691,6848,7016,7184,7366,7555,7744,7936,8133,8332,8525,8733,8941,9129,9342,9532,9743,9954,10162,10367,10613,10844,11094,11355,11597,11839,12074,12324,12575,12849,13121,13379,13677,13977,14239,14536,14828,15146,15429,15726,16044,16370,16690,17067,17405,17783,18111,18520,18901,19285,19686,20068,20474,20864,21275,21691,22118,22513,22943,23396,23875,24309,24764,25210,25713,26188,26661,27163,27616,28126,28633,29146,29697,30282,30824,31382,31913,32485,33047,33612,34223,34802,35404,36027,36661,37253,37876,38508,39158,39804,40442,41114,41780,42430,43140,43821,44522,45231,45966,46714,47473,48207,48987,49787,50639,51512,52410,53349,54262,55196,56164,57179,58140,59170,60244,61286,62365,63470,64649,65783,66859,67995,69142,70441,71676,72936,74193,75500,76793,78098,79350,80731,82062,83431,84736,86135,87475,88901,90358,91772,93134,94564,96015,97476,98990,100525,102055,103522,105105,106608,108245,109868,111491,113169,114784,116510,118228,119935,121753,123589,125398,127241,129140,131033,132960,134901,136914,138932,141015,143165,145305,147352,149417,151561,153810,156068,158319,160641,162936,165281,167631,169939,172365,174854,177377,179835,182417,184988,187574,190243,192852,195565,198317,201208,204058,206876,209865,212787,215807,218908,222058,225246,228385,231741,235085,238515,242069,245709,249374,253075,256918,260706,264594,268645,272691,276861,280928,285204,289512,293825,298036,302448,306846,311438,316099,320732,325329,329985,334881,339779,344712,349618,354809,360043,365358,370778,376306,381778,387449,393062,398856,404623,410457,416383,422357,428237,434402,440752,447112,453338,459800,466199,472760,479394,486019,492811,499619,506676,513776,520909,528274,535751,543236,550861,558515,566429,574210,582229,590117,598612,607257,615831,624414,633198,642081,650826,659723,668968,678205,687680,697128,706848,716548,726308,736252,746260,756282,766435,776846,787455,797831,808358,819130,830018,841038,852096,863442,874997,886540,898245,910071,922102,934262,946493,958897,971442,984142,997147,1010191,1023427,1036721,1050083,1063801,1077612,1091556,1105548,1119907,1134331,1149066,1163797,1178495,1193636,1208898,1224468,1240150,1255773,1271674,1287645,1303834,1320167,1336687,1353395,1369792,1386752,1403980,1421502,1439257,1457234,1475299,1493401,1511619,1529928,1548751,1567364,1586628,1605774,1625163,1644850,1664497,1684554
1,1,1,1,1,1,3,5,5,10,15,19,21,24,27,29,38,48,56,67,71,81,88,95,105,109,123,138,147,163,174,190,205,219,233,243,258,274,288,309,324,338,360,379,403,422,445,461,489,514,535,555,588,615,642,674,713,743,776,806,850,885,928,966,1016,1065,1103,1177,1210,1268,1314,1373,1417,1456,1502,1555,1611,1661,1719,1767,1841,1893,1946,2007,2060,2123,2170,2235,2305,2349,2410,2480,2535,2597,2670,2726,2780,2862,2921,2989,3058,3135,3220,3282,3363,3437,3515,3601,3681,3760,3844,3932,4015,4084,4163,4245,4324,4418,4509,4609,4697,4776,4869,4968,5063,5163,5269,5382,5485,5575,5702,5811,5914,6017,6123,6250,6375,6495,6619,6755,6902,7023,7154,7272,7410,7541,7697,7861,8003,8164,8321,8484,8632,8786,8941,9104,9255,9431,9608,9777,9943,10103,10285,10459,10616,10780,10950,11104,11267,11441,11599,11784,11983,12179,12370,12569,12763,12938,13137,13343,13551,13777,13978,14202,14406,14622,14839,15074,15306,15553,15791,16040,16288,16520,16760,17013,17268,17525,17791,18054,18342,18606,18871,19141,19432,19729,20021,20282,20557,20846,21126,21455,21727,22008,22313,22610,22932,23294,23615,23969,24273,24612,24952,25298,25654,26022,26389,26755,27097,27478,27819,28160,28561,28951,29329,29729,30168,30612,31024,31459,31910,32344,32840,33331,33823,34334,34872,35386,35894,36469,37050,37607,38171,38772,39396,39976,40601,41208,41892,42497,43146,43839,44475,45166,45948,46614,47335,48071,48819,49600,50343,51155,51935,52755,53578,54379,55129,55965,56786,57694,58593,59535,60394,61296,62265,63219,64136,65101,66144,67176,68140,69171,70184,71242,72338,73396,74475,75642,76753,77921,79085,80204,81412,82686,83921,85145,86393,87696,88992,90333,91674,93071,94458,95878,97331,98785,100198,101645,103136,104752,106345,107992,109590,111286,112932,114614,116368,118171,120049,121803,123680,125575,127510,129499,131447,133414,135454,137589,139715,141910,144075,146316,148559,150867,153202,155562,157903,160323,162802,165215,167765,170288,172934,175586,178271,180999,183766,186510,189286,192140,195070,197997,200819,203819,206959,209951,213118,216210,219363,222552,225858,229142,232504,235812,239287,242735,246129,249651,253207,256700,260401,264091,267810,271632,275469,279243,282997,286926,290949,295018,299130,303317,307680,311958,316356,320758,325172,329695,334294,338955,343644,348392,353290,358145,363074,368073,372941,377907,383133,388252,393441,398616,404104,409594,415196,420904,426587,432242,438270,444269,450187,456231,462332,468527,474925,481353,487862,494437,501119,507735,514579,521532,528767,535968,543331,550746,558301,565823,573434,581238,588997,596828,604882,612982,621234,629646,638159,646913,655827,664580,673285,682419,691698,701124,710578,720183,729891,739605,749534,759406,769698,779716,790130,800520,811200,822064,833080,844375,855564,867040,878632,890241,902047,914149,926267,938676,951042,963810,976699,989405,1002605,1015706,1028918,1042447,1056109,1069895,1083791,1098055,1112308,1127134,1141704,1156573,1171614,1186848,1202216,1217702,1233302
1,1,4,6,6,8,11,12,14,16,20,25,29,33,37,41,49,52,58,64,68,75,84,89,96,106,121,132,145,152,159,169,176,186,195,212,220,240,253,264,279,304,324,341,365,380,405,427,450,472,495,516,548,577,598,632,657,672,693,706,725,744,765,794,814,829,851,870,887,902,913,937,958,973,994,1016,1039,1058,1079,1106,1133,1165,1186,1214,1238,1269,1303,1331,1362,1407,1450,1499,1547,1582,1622,1665,1707,1752,1788,1826,1880,1921,1970,2037,2091,2140,2207,2256,2297,2354,2403,2452,2505,2555,2610,2657,2717,2782,2844,2888,2944,3005,3066,3128,3189,3245,3311,3361,3423,3490,3560,3619,3683,3759,3843,3925,3996,4073,4134,4198,4270,4360,4461,4560,4642,4763,4872,4995,5100,5232,5342,5467,5577,5693,5817,5940,6087,6226,6371,6516,6675,6831,6984,7137,7271,7432,7572,7743,7911,8073,8230,8396,8544,8714,8874,9014,9176,9314,9448,9595,9744,9885,10065,10210,10382,10539,10712,10892,11030,11201,11371,11523,11718,11887,12053,12246,12425,12619,12793,12983,13181,13404,13596,13796,14047,14257,14481,14706,14936,15176,15406,15644,15879,16116,16393,16656,16925,17221,17493,17752,17998,18270,18528,18770,19051,19328,19637,19914,20189,20488,20775,21058,21366,21669,21960,22268,22548,22862,23198,23538,23847,24187,24523,24843,25232,25579,25938,26295,26690,27071,27474,27844,28261,28648,29013,29428,29831,30221,30641,31020,31429,31823,32246,32665,33079,33507,33951,34352,34767,35199,35663,36092,36553,37012,37437,37909,38404,38891,39358,39823,40313,40777,41227,41748,42262,42730,43235,43747,44306,44837,45353,45900,46476,47036,47645,48211,48855,49492,50127,50795,51439,52131,52820,53507,54228,54931,55617,56345,57098,57824,58662,59465,60286,61107,61918,62781,63645,64495,65370,66252,67148,68061,68978,69875,70889,71816,72753,73741,74728,75722,76717,77665,78646,79662,80735,81822,82952,84039,85139,86223,87388,88564,89750,91000,92203,93413,94614,95888,97158,98472,99808,101203,102550,103977,105388,106836,108343,109837,111367,112874,114447,115996,117571,119248,120896,122504,124165,125825,127572,129226,131072,132808,134585,136364,138180,139966,141814,143683,145498,147427,149292,151271,153237,155287,157438,159508,161603,163725,165911,168051,170426,172775,175077,177438,179885,182377,184940,187493,190098,192827,195507,198320,201091,204016,206839,209769,212728,215751,218846,221951,225193,228397,231670,235019,238352,241592,244980,248386,251792,255214,258780,262357,265874,269405,273093,276762,280501,284186,287943,291898,295759,299720,303632,307709,311932,316055,320233,324510,328767,333260,337812,342414,347017,351717,356421,361278,366113,370984,376031,381221,386478,391675,397068,402466,407836,413345,418872,424467,430208,436006,441891,447776,453618,459706,465882,472166,478476,484946,491464,498054,504708,511571,518455,525256,532175,539463,546612,554002,561530,569252,577040,584943,592977,600922,609286,617522,625964,634584,643346,651992,660774,669792,678905,688183,697567,706978,716591
1,1,1,2,3,7,8,9,10,14,21,21,25,27,33,36,38,42,47,51,56,62,68,75,80,85,91,101,110,120,128,133,143,153,159,168,176,186,191,198,204,209,213,221,225,232,247,256,268,272,279,284,294,296,302,307,315,326,333,344,357,368,377,386,400,414,434,444,459,478,493,506,525,539,550,575,594,614,632,651,670,692,720,736,762,781,797,822,841,874,897,920,950,984,1013,1042,1083,1111,1155,1192,1224,1264,1304,1342,1379,1428,1472,1529,1585,1623,1663,1702,1748,1792,1828,1865,1901,1935,1978,2011,2040,2069,2111,2147,2183,2212,2242,2257,2286,2305,2336,2364,2393,2421,2457,2484,2518,2541,2580,2606,2640,2673,2713,2744,2782,2820,2844,2882,2910,2939,2973,3004,3039,3063,3094,3133,3170,3213,3255,3303,3340,3376,3413,3457,3496,3536,3572,3608,3654,3702,3742,3793,3852,3894,3934,3984,4042,4116,4177,4232,4298,4368,4438,4507,4583,4668,4751,4833,4916,5008,5081,5157,5245,5317,5402,5485,5579,5679,5770,5879,5989,6081,6164,6271,6389,6498,6588,6686,6781,6891,7003,7112,7215,7328,7449,7542,7650,7761,7917,8024,8131,8246,8389,8500,8619,8765,8900,9019,9134,9251,9366,9498,9633,9752,9882,10007,10173,10319,10454,10589,10740,10882,11049,11221,11398,11587,11771,11961,12142,12324,12513,12703,12887,13073,13280,13495,13723,13943,14185,14418,14641,14882,15091,15353,15568,15840,16102,16359,16630,16889,17202,17514,17810,18099,18384,18658,18953,19249,19561,19896,20224,20558,20925,21314,21683,22034,22354,22733,23088,23427,23784,24156,24538,24921,25322,25729,26096,26490,26909,27342,27733,28152,28566,28979,29376,29791,30218,30604,31012,31498,32003,32445,32895,33346,33843,34336,34858,35369,35867,36391,36904,37400,37936,38516,39130,39703,40284,40864,41504,42130,42769,43406,44025,44695,45404,46116,46808,47512,48276,49071,49840,50601,51419,52246,53032,53860,54681,55589,56489,57383,58321,59295,60255,61313,62312,63349,64426,65510,66599,67659,68776,69925,71102,72316,73545,74753,76028,77281,78562,79845,81115,82477,83792,85196,86563,87930,89326,90734,92180,93674,95149,96640,98126,99630,101253,102844,104449,106069,107635,109334,111030,112761,114434,116152,118001,119782,121596,123437,125311,127248,129189,131217,133203,135197,137191,139260,141389,143517,145710,147982,150241,152624,154893,157196,159549,161860,164296,166750,169211,171717,174260,176768,179435,182010,184637,187380,190140,192872,195713,198581,201511,204416,207459,210438,213463,216516,219678,222743,225842,229000,232218,235560,238931,242297,245741,249234,252666,256261,259930,263602,267355,271197,274942,278835,282814,286705,290633,294655,298753,302829,307022,311252,315653,320068,324428,328951,333509,338028,342656,347372,352300,357154,362075,367076,372039,377147,382312,387586,392915,398177,403608,408999,414527,420187,425959,431834,437716,443663,449682,455851,462133,468545,474992,481521,488118,494835,501810
1,1,1,1,1,1,2,4,8,10,15,16,18,22,25,26,31,35,41,54,58,68,78,86,99,108,122,135,155,165,179,188,201,225,249,267,286,300,319,341,354,379,394,412,427,454,470,488,506,528,548,566,594,617,636,655,675,695,725,743,766,794,817,844,869,909,938,968,998,1030,1075,1111,1145,1164,1202,1251,1297,1332,1382,1414,1458,1500,1538,1576,1621,1662,1702,1742,1787,1825,1870,1908,1946,1998,2058,2102,2145,2204,2243,2293,2355,2408,2463,2518,2563,2622,2688,2751,2802,2867,2918,2979,3018,3082,3151,3210,3280,3348,3402,3470,3538,3611,3687,3758,3828,3904,3973,4042,4101,4168,4252,4348,4438,4501,4579,4675,4753,4846,4943,5020,5112,5201,5284,5381,5478,5569,5653,5744,5847,5944,6042,6128,6231,6313,6417,6519,6615,6703,6804,6899,7006,7122,7237,7341,7463,7578,7692,7808,7927,8033,8152,8286,8422,8541,8656,8810,8923,9059,9196,9320,9463,9616,9746,9883,10005,10114,10237,10368,10495,10622,10758,10883,10991,11146,11286,11422,11548,11672,11804,11949,12081,12228,12360,12490,12623,12767,12911,13081,13237,13402,13533,13675,13839,13976,14126,14307,14480,14672,14852,14989,15168,15341,15519,15697,15874,16091,16275,16433,16635,16819,17007,17219,17421,17617,17806,18010,18209,18399,18599,18816,19032,19254,19443,19626,19801,19996,20193,20407,20598,20820,21045,21263,21477,21706,21928,22171,22398,22642,22883,23096,23340,23602,23843,24060,24325,24599,24863,25107,25380,25687,25955,26233,26504,26824,27113,27394,27666,27944,28258,28564,28874,29191,29495,29768,30069,30393,30669,30960,31274,31593,31909,32270,32582,32910,33235,33552,33893,34234,34576,34940,35295,35631,35974,36336,36678,37072,37440,37834,38214,38604,39021,39431,39873,40256,40674,41085,41498,41927,42371,42823,43284,43723,44211,44679,45176,45679,46157,46637,47126,47623,48158,48676,49173,49689,50212,50728,51273,51828,52391,52967,53510,54093,54711,55330,55951,56622,57269,57909,58570,59205,59823,60450,61130,61866,62553,63284,64021,64793,65539,66362,67165,67918,68670,69451,70234,71023,71844,72635,73479,74356,75219,76096,76933,77786,78680,79600,80551,81466,82408,83334,84310,85295,86332,87330,88370,89388,90411,91403,92373,93451,94532,95676,96761,97859,98959,100068,101185,102322,103566,104691,106017,107296,108625,109930,111247,112563,113878,115288,116615,118024,119444,120885,122303,123751,125294,126766,128357,129943,131513,133133,134799,136411,138082,139813,141543,143246,144997,146792,148565,150338,152088,153908,155734,157623,159599,161539,163485,165427,167436,169494,171560,173621,175801,178042,180213,182506,184724,187005,189326,191751,194247,196682,199163,201669,204126,206718,209330,211934,214518,217175,219839,222565,225316,228037,230830,233712,236549,239426,242330,245284,248220,251361,254376,257540,260696,263972,267164,270420,273723,277053,280408,283963,287398,290924,294442,298067,301715,305417,309164,313008,316973,320869,324819,328785,332703,336802,340987
1,1,1,1,1,4,5,7,7,10,10,13,20,28,39,47,50,59,59,63,67,75,83,93,103,117,126,131,143,155,165,174,181,196,218,231,239,255,261,267,286,301,315,332,350,368,387,406,429,446,472,503,537,568,600,625,650,676,715,746,786,820,869,902,942,989,1030,1078,1135,1204,1265,1316,1386,1434,1505,1575,1625,1689,1736,1802,1870,1930,2004,2068,2133,2211,2279,2352,2436,2519,2601,2676,2753,2834,2924,3006,3075,3170,3264,3369,3477,3574,3687,3791,3909,4037,4181,4296,4449,4592,4710,4867,5026,5197,5385,5599,5764,5950,6136,6317,6503,6674,6884,7083,7272,7485,7733,7956,8171,8385,8605,8820,9093,9332,9589,9822,10082,10337,10592,10842,11092,11349,11591,11868,12157,12421,12690,12981,13301,13631,13919,14231,14560,14917,15242,15579,15988,16363,16719,17099,17458,17804,18192,18597,19015,19432,19866,20297,20757,21173,21654,22145,22621,23139,23628,24093,24627,25154,25687,26190,26736,27278,27818,28383,28891,29451,30015,30622,31171,31785,32408,32963,33545,34175,34793,35442,36120,36782,37480,38211,38882,39640,40390,41191,41972,42804,43666,44548,45435,46344,47221,48116,48993,49872,50810,51752,52714,53695,54680,55651,56656,57750,58785,59783,60816,61876,62974,64140,65200,66359,67554,68729,69879,71001,72167,73406,74716,75948,77239,78587,79963,81307,82666,83998,85333,86640,88005,89401,90889,92299,93825,95317,96781,98270,99801,101397,102925,104521,106151,107833,109431,111065,112696,114465,116187,117903,119745,121561,123444,125270,127234,129151,131070,133027,135044,137121,139249,141232,143230,145323,147400,149517,151670,154007,156361,158666,160953,163312,165764,168140,170646,173162,175655,178169,180739,183338,185969,188636,191319,194152,197000,199796,202682,205656,208639,211673,214673,217791,220972,224237,227499,230779,234244,237752,241188,244594,248091,251654,255299,258981,262637,266261,270004,273800,277647,281598,285500,289367,293430,297540,301638,305683,309920,314265,318583,323045,327313,331764,336124,340658,345248,349868,354623,359374,364327,369260,374140,379132,384366,389572,394761,400137,405497,410947,416497,422071,427600,433375,439200,444973,450766,456605,462649,468546,474665,480750,486977,493354,499529,506061,512675,519359,525970,532760,539641,546621,553538,560631,567871,575057,582273,589911,597592,605215,613042,620964,628959,637147,645387,653785,662154,670674,679320,688180,697093,706417,715578,724787,734365,743941,753681,763517,773419,783581,793985,804315,814783,825314,836203,847113,858156,869367,880494,891728,903411,915173,926898,938900,950806,962987,975266,987630,1000345,1013114,1026086,1039213,1052449,1065819,1079348,1093106,1106901,1121061,1134760,1148679,1162733,1177195,1191811,1206457,1221137,1236067,1251322,1266485,1282024,1297514,1313169,1328976,1344851,1361260,1377829,1394248,1411069,1428015,1445177,1462494,1480068,1497638,1515286,1533332,1551445,1569877,1588351,1607002,1625963,1645268,1664669,1684358,1704171,1724131,1744481,1764909,1785797,1806661,1827711,1849163,1870792,1892363,1914100,1936269,1958609,1981149,2003853,2026865,2050088,2073232,2096935,2120612,2144703,2168830,2193685,2218373,2243518,2268588,2293952,2319332,2345031,2370883,2396567
1,1,1,1,2,4,4,6,7,8,8,9,9,11,11,12,16,20,23,28,31,35,40,42,46,53,65,76,84,94,108,115,121,125,140,151,164,178,186,188,191,199,215,220,231,245,255,268,283,304,319,328,344,362,376,397,417,438,462,477,498,514,533,547,567,590,621,648,672,695,738,776,819,854,887,923,951,980,1010,1046,1077,1109,1152,1190,1237,1275,1328,1363,1412,1456,1492,1544,1591,1636,1681,1723,1761,1802,1849,1897,1947,1991,2039,2073,2111,2139,2176,2218,2256,2308,2341,2389,2432,2484,2527,2569,2604,2659,2694,2751,2809,2876,2936,2995,3063,3130,3183,3246,3301,3373,3441,3494,3568,3662,3732,3801,3869,3932,4012,4103,4181,4252,4315,4378,4442,4521,4596,4679,4756,4828,4894,4979,5032,5102,5176,5256,5328,5407,5476,5540,5616,5691,5762,5831,5904,5970,6045,6111,6186,6266,6352,6445,6536,6624,6730,6802,6898,6992,7074,7181,7274,7376,7489,7597,7696,7810,7913,8034,8138,8250,8363,8495,8600,8722,8836,8948,9092,9229,9377,9517,9680,9840,9996,10128,10303,10457,10651,10832,11021,11193,11375,11575,11775,11966,12164,12365,12561,12767,12975,13198,13415,13655,13869,14080,14317,14573,14762,14985,15215,15442,15640,15881,16146,16343,16580,16811,17034,17279,17481,17709,17930,18165,18437,18715,18961,19237,19500,19744,20025,20307,20598,20910,21203,21481,21785,22091,22388,22697,22995,23345,23656,23970,24304,24630,24951,25283,25620,25981,26368,26725,27084,27484,27902,28312,28728,29190,29607,30047,30519,30954,31424,31931,32423,32896,33423,33953,34483,34986,35528,36065,36571,37181,37739,38342,38965,39614,40271,40908,41499,42030,42638,43242,43872,44504,45124,45755,46409,47123,47761,48452,49121,49861,50567,51274,51988,52741,53527,54313,55113,55911,56750,57539,58413,59242,60113,60995,61887,62837,63750,64676,65660,66670,67688,68717,69732,70792,71814,72865,73980,75043,76136,77245,78351,79460,80589,81713,82855,84058,85275,86456,87694,88936,90182,91443,92717,93937,95258,96641,98028,99434,100878,102267,103774,105260,106881,108454,110053,111694,113370,115152,116900,118645,120469,122314,124233,126210,128273,130275,132363,134426,136597,138751,140953,143126,145392,147710,150033,152404,154756,157183,159578,161965,164421,166917,169525,172064,174535,177247,179977,182720,185637,188520,191494,194367,197413,200473,203538,206657,209810,212982,216218,219524,222849,226220,229621,233077,236492,240039,243578,247217,250853,254517,258271,262009,265896,269813,273750,277586,281686,285704,289782,293942,298008,302177,306492,310678,315109,319677,324251,328910,333573,338430,343354,348182,353080,358185,363464,368674,373900,379223,384615,390158,395732,401379,407120,412838,418820,424821,431098,437281,443586,449825,456088,462572,469102,475638,482348,488969,495608,502630,509454,516638,523838,530923,538260,545545,553091,560779,568521,576260,584308,592158,600145,608124,616270,624575,632839,641312,650024,658711,667481,676383,685374,694507,703746,712976,722292
1,1,1,3,5,9,9,12,14,17,23,29,32,40,48,55,61,71,81,95,112,131,145,157,184,198,222,236,244,264,282,302,325,340,362,386,414,439,458,476,515,529,559,588,614,640,670,704,737,760,796,829,856,880,910,935,967,997,1028,1061,1115,1162,1203,1252,1295,1346,1392,1434,1474,1529,1578,1629,1693,1737,1797,1857,1919,1973,2039,2116,2170,2234,2300,2372,2448,2527,2603,2686,2751,2819,2915,3002,3085,3178,3270,3365,3458,3550,3652,3760,3871,3964,4071,4166,4258,4361,4462,4561,4660,4761,4860,4969,5100,5244,5377,5527,5642,5792,5922,6049,6193,6333,6479,6611,6736,6871,7025,7171,7343,7492,7651,7823,7965,8109,8282,8452,8601,8766,8919,9112,9278,9487,9679,9875,10068,10273,10466,10674,10857,11100,11304,11526,11735,11965,12177,12418,12619,12831,13070,13342,13598,13826,14067,14332,14574,14833,15082,15356,15625,15922,16183,16477,16741,17017,17301,17606,17888,18164,18452,18739,19070,19374,19709,20015,20333,20641,20939,21284,21636,21978,22270,22600,22934,23287,23643,23976,24320,24652,25036,25413,25788,26155,26538,26949,27355,27764,28201,28594,28993,29407,29853,30292,30758,31214,31703,32153,32615,33099,33578,34072,34602,35137,35664,36268,36838,37433,38008,38622,39193,39757,40349,40940,41561,42199,42808,43444,44039,44642,45243,45898,46519,47159,47847,48484,49120,49778,50456,51130,51839,52564,53220,53934,54659,55394,56150,56918,57668,58497,59265,60051,60985,61845,62702,63549,64432,65337,66243,67213,68153,69123,70057,71054,72131,73189,74219,75305,76422,77549,78648,79763,80939,82085,83324,84649,85985,87262,88612,89975,91383,92770,94187,95654,97060,98511,99977,101504,103070,104629,106254,107886,109525,111267,113045,114810,116597,118414,120249,122072,123954,126005,127946,129869,132019,134107,136106,138239,140380,142571,144685,146833,149077,151311,153525,155795,158073,160489,162971,165457,167858,170429,172908,175628,178250,180979,183700,186468,189249,192048,195045,197957,201110,204256,207443,210727,213973,217287,220620,223969,227391,230820,234431,237950,241647,245367,249087,252718,256654,260568,264494,268555,272552,276684,280866,285104,289390,293479,297714,302049,306450,310930,315432,319914,324353,328926,333625,338502,343411,348280,353264,358286,363472,368566,373714,379088,384505,389937,395437,401160,406884,412615,418587,424662,430869,437180,443592,449941,456447,462960,469654,476448,483140,490174,497112,504238,511436,518743,526140,533581,541300,548903,556816,564850,572737,580767,588906,597363,605639,613983,622423,631133,639842,648830,657906,666816,676142,685383,694790,704410,714170,724161,734076,744310,754478,764771,775321,786093,796973,808050,819180,830624,842003,853815,865581,877448,889453,901634,913982,926523,939145,952166,965278,978581,992038,1005565,1019046,1032719,1046470,1060552,1074911,1089439,1104084,1118831,1133546,1148673,1163919,1179455,1195126,1210768,1226614,1242600,1258921,1275414,1292128,1308792,1326015,1343140,1360419,1377892,1395459,1413345,1431302,1449398,1467712,1486267,1505018,1524094,1543068,1562595,1582386,1602314,1622330,1642610,1662961,1683327,1704039,1724820,1745967
1,1,1,3,8,8,10,11,12,17,20,25,30,38,39,41,48,56,61,65,74,80,88,99,105,110,121,124,128,131,141,150,159,166,172,182,195,205,217,220,229,238,243,250,264,268,276,281,289,298,308,314,327,339,349,354,368,380,391,404,416,436,454,470,484,504,520,539,560,584,605,630,654,676,697,727,747,778,808,839,874,896,925,957,982,999,1027,1054,1093,1125,1156,1171,1202,1230,1265,1299,1327,1356,1390,1421,1448,1487,1525,1557,1600,1649,1685,1720,1752,1796,1845,1901,1946,1998,2046,2096,2145,2184,2227,2289,2353,2408,2467,2519,2566,2608,2664,2717,2778,2836,2893,2974,3024,3114,3192,3247,3318,3380,3466,3547,3634,3694,3762,3836,3918,4018,4096,4186,4271,4369,4466,4537,4629,4719,4814,4915,5002,5098,5210,5319,5402,5500,5610,5732,5839,5954,6061,6176,6280,6384,6509,6633,6756,6903,7027,7158,7278,7413,7539,7673,7801,7945,8110,8255,8421,8580,8748,8915,9102,9268,9426,9604,9768,9928,10098,10274,10455,10627,10810,11008,11195,11374,11565,11742,11935,12101,12310,12506,12700,12901,13068,13246,13431,13610,13797,13984,14151,14324,14524,14732,14939,15122,15304,15493,15698,15873,16052,16232,16429,16634,16846,17061,17298,17497,17701,17919,18184,18469,18693,18932,19210,19448,19726,20012,20312,20633,20947,21244,21527,21810,22145,22476,22782,23120,23465,23813,24157,24493,24864,25198,25539,25932,26341,26734,27133,27522,27917,28338,28786,29212,29655,30092,30532,30990,31444,31900,32389,32899,33402,33875,34398,34890,35406,35938,36489,37031,37603,38159,38743,39314,39876,40450,40966,41555,42186,42849,43465,44096,44721,45373,46043,46707,47372,48095,48776,49448,50181,50968,51766,52538,53309,54116,54936,55759,56593,57416,58262,59154,60062,60951,61897,62908,63855,64796,65774,66804,67816,68880,69881,70914,71963,73108,74266,75427,76509,77680,78810,80003,81224,82382,83582,84778,85997,87296,88598,89887,91313,92624,93963,95379,96710,98096,99477,100880,102329,103844,105307,106911,108538,110132,111686,113286,114914,116591,118189,119844,121498,123187,124933,126728,128541,130345,132184,134013,135966,137861,139801,141728,143618,145646,147715,149840,151941,154042,156298,158505,160785,163041,165376,167740,170281,172807,175251,177899,180413,183053,185723,188388,191128,193921,196793,199818,202770,205696,208724,211650,214695,217731,220782,223921,227122,230452,233732,237110,240528,244045,247525,251138,254753,258320,261984,265745,269518,273465,277330,281265,285219,289281,293385,297591,301851,306145,310598,314992,319512,324127,328788,333426,338053,342771,347537,352357,357263,362343,367420,372599,377756,383137,388429,393708,399121,404707,410364,415910,421671,427522,433422,439355,445391,451427,457570,463774,470086,476396,482904,489302,495849,502484,509144,515961,522976,530053,537288,544525,551962,559559,567157,574869,582806,590835,599008,607228,615580,624019,632507,641056,649768,658555,667349,676445,685566,694711,703933,713282,722761,732399,742203
1,1,1,1,1,1,1,1,2,3,4,6,7,8,8,9,13,15,20,22,22,23,23,28,31,39,39,47,55,63,74,81,98,120,134,150,171,194,215,235,260,282,311,348,373,391,411,444,475,508,541,580,607,636,679,719,757,791,842,885,926,970,1011,1054,1098,1131,1180,1230,1280,1317,1365,1414,1474,1526,1584,1642,1706,1766,1833,1886,1943,2012,2069,2134,2196,2256,2315,2383,2448,2520,2584,2660,2715,2782,2863,2937,3007,3083,3158,3248,3324,3404,3476,3544,3637,3715,3794,3874,3959,4046,4145,4237,4333,4450,4569,4685,4788,4893,4986,5094,5214,5341,5498,5635,5775,5925,6071,6202,6348,6502,6651,6813,6989,7170,7340,7514,7679,7861,8039,8250,8467,8665,8883,9085,9307,9534,9768,9995,10243,10485,10752,10996,11269,11521,11777,12044,12318,12598,12879,13165,13499,13776,14105,14444,14788,15150,15515,15870,16210,16568,16976,17339,17746,18193,18590,19020,19425,19862,20250,20704,21156,21566,22073,22547,23056,23535,24045,24542,25050,25551,26046,26577,27102,27652,28200,28765,29354,29923,30506,31120,31695,32321,32961,33605,34300,34972,35660,36330,37019,37757,38524,39272,40000,40756,41564,42326,43079,43928,44764,45609,46471,47405,48286,49176,50175,51132,52100,53105,54093,55051,56062,57092,58146,59224,60282,61420,62568,63665,64837,65999,67224,68471,69722,70998,72269,73610,74973,76347,77762,79135,80479,81845,83255,84724,86096,87621,89060,90574,92077,93638,95224,96853,98410,100075,101706,103301,104878,106468,108107,109762,111430,113103,114907,116747,118573,120368,122207,124187,126179,128205,130342,132407,134583,136725,139014,141320,143536,145770,148255,150629,153147,155718,158170,160794,163431,166036,168679,171442,174204,177058,179885,182748,185592,188527,191546,194606,197695,200846,204072,207244,210477,213774,217103,220489,223945,227411,231003,234556,238083,241770,245453,249233,252885,256658,260526,264400,268484,272590,276658,280828,285057,289474,293963,298564,302995,307552,312367,317112,322009,326987,331956,337138,342371,347612,353079,358628,364174,369683,375213,380886,386672,392809,398867,404907,411075,417421,423915,430496,437170,443833,450688,457605,464466,471534,478815,486124,493500,500998,508604,516323,524211,532269,540372,548431,556638,565015,573596,581890,590567,599339,608280,617243,626231,635506,644741,654138,663541,673135,682717,692447,702317,712294,722368,732594,742948,753291,763839,774646,785332,796156,807336,818426,829638,840950,852449,863796,875505,887140,899113,911418,923742,936186,948696,961095,973833,986685,1000111,1013423,1026876,1040584,1054384,1068573,1082704,1097338,1111879,1126588,1141509,1156519,1171597,1187072,1202829,1218682,1234623,1250575,1266912,1283305,1300344,1317137,1334420,1351427,1368794,1386579,1404443,1422452,1440568,1459002,1477603,1496433,1515385,1534469,1553541,1573352,1593326,1613463,1633857,1654336,1675077,1695681,1716872,1738165,1759483,1781248,1803247,1825379,1847910,1870347,1892931,1915702,1938820,1962100,1985638,2009594,2033701,2057737,2082145,2106282,2130717,2155640,2180854,2205985,2231206,2256810,2282142,2307765,2333722,2360053,2386187,2412453,2438670,2465220,2492264,2519538,2546873,2574378,2601928,2629928,2657927
1,1,1,1,2,2,2,2,2,3,4,9,14,14,14,14,15,18,23,30,39,45,52,60,63,74,79,85,90,98,105,123,133,147,156,172,183,194,212,223,232,248,266,277,286,305,318,333,347,364,376,386,400,420,437,457,476,489,505,523,549,580,600,629,657,682,705,727,765,802,842,886,922,958,997,1028,1060,1099,1131,1174,1221,1255,1303,1348,1402,1453,1508,1565,1620,1686,1754,1818,1885,1959,2029,2102,2177,2258,2346,2434,2507,2583,2675,2758,2855,2957,3063,3170,3268,3375,3502,3620,3744,3902,4051,4196,4354,4496,4638,4817,5008,5169,5352,5533,5703,5878,6061,6222,6404,6608,6811,7006,7198,7395,7564,7754,7949,8123,8316,8489,8671,8847,9048,9248,9429,9607,9813,10006,10228,10427,10636,10850,11045,11233,11433,11655,11906,12133,12373,12584,12791,13004,13213,13453,13657,13920,14159,14403,14658,14935,15208,15485,15742,16002,16266,16527,16762,17032,17323,17601,17902,18202,18508,18800,19110,19435,19760,20068,20427,20786,21122,21491,21817,22152,22506,22884,23266,23590,23947,24343,24757,25115,25514,25961,26372,26774,27186,27630,28032,28420,28865,29301,29705,30154,30575,30992,31412,31895,32349,32814,33264,33726,34189,34630,35100,35557,36024,36504,36963,37413,37883,38403,38914,39471,40018,40524,41092,41682,42269,42856,43445,44069,44716,45408,46052,46687,47333,48066,48753,49487,50195,50983,51741,52524,53341,54132,54909,55777,56601,57502,58374,59294,60188,61093,62045,62979,63920,64833,65824,66783,67712,68688,69658,70728,71801,72801,73847,74857,75944,77046,78156,79261,80377,81514,82686,83855,85098,86264,87476,88695,89884,91087,92265,93480,94772,96057,97403,98792,100149,101526,102807,104118,105492,106949,108373,109849,111407,112918,114455,116039,117669,119231,120852,122525,124180,125965,127744,129636,131383,133191,135088,136929,138805,140732,142695,144689,146633,148690,150746,152804,154879,157133,159298,161472,163698,165980,168182,170346,172643,175075,177503,179988,182511,185011,187522,190110,192758,195525,198384,201150,203928,206741,209567,212395,215245,218143,221174,224261,227434,230586,233787,236955,240212,243521,246910,250296,253811,257317,260907,264588,268308,272026,275816,279684,283600,287608,291714,295936,300161,304457,308842,313391,317791,322200,326759,331510,336366,341106,345971,350909,355882,361029,366319,371692,377018,382494,388104,393734,399288,405023,410872,416781,422868,428897,434998,441085,447503,453875,460346,466992,473706,480412,487254,494181,501143,508233,515315,522460,529645,537208,544719,552403,560176,567964,575945,583957,592045,600307,608681,617285,625805,634413,643247,652174,661236,670345,679320,688783,698117,707508,717249,726978,736956,747123,757182,767297,777456,787874,798502,809079,819896,830723,841917,853205,864437,875925,887312,899029,910902,922942,935082,947596,960107,972820,985701,998573,1011825,1025146,1038416,1051705,1065295,1079097,1092946,1107029,1121394,1135885,1150418,1165010,1179981,1194914,1210060,1225045,1240457,1256225,1272035,1287867,1303948,1320224,1336604,1353347,1370080,1387146,1404332,1421609,1438972,1456488,1474423
1,1,1,4,4,7,10,11,11,12,14,19,20,24,26,27,29,34,40,43,47,49,56,60,67,70,79,88,93,102,103,115,123,138,150,165,170,176,189,203,210,218,228,234,239,249,266,279,293,301,311,319,333,345,355,370,380,393,407,425,435,447,465,480,489,502,516,543,559,572,590,603,620,631,652,671,694,710,733,764,785,817,833,863,884,908,941,961,994,1035,1060,1094,1128,1165,1190,1228,1266,1315,1350,1383,1431,1462,1495,1532,1573,1600,1638,1674,1713,1748,1776,1806,1832,1864,1893,1940,1964,1995,2024,2070,2109,2155,2202,2246,2283,2323,2365,2407,2445,2486,2539,2583,2624,2665,2706,2761,2807,2848,2905,2958,2994,3045,3101,3179,3261,3328,3399,3462,3527,3593,3672,3742,3824,3906,3992,4085,4182,4282,4379,4493,4597,4707,4821,4912,5031,5148,5289,5395,5523,5649,5792,5941,6088,6224,6380,6532,6688,6842,7009,7185,7368,7530,7711,7890,8090,8271,8478,8659,8874,9083,9322,9521,9726,9944,10189,10426,10658,10894,11124,11398,11632,11872,12121,12368,12626,12910,13192,13478,13732,14008,14279,14560,14863,15145,15459,15763,16055,16370,16685,17024,17348,17645,17993,18307,18636,18963,19266,19602,19951,20278,20634,20975,21315,21707,22046,22411,22805,23167,23530,23915,24338,24769,25176,25630,26085,26524,26976,27477,27897,28380,28846,29314,29814,30311,30821,31371,31920,32514,33049,33584,34167,34733,35290,35870,36432,37024,37622,38209,38775,39348,39983,40583,41196,41824,42464,43097,43700,44429,45062,45732,46423,47171,47856,48549,49292,50001,50817,51572,52345,53221,54041,54814,55695,56484,57313,58166,59030,59954,60811,61722,62635,63556,64485,65466,66368,67338,68325,69258,70232,71202,72197,73183,74199,75260,76301,77341,78400,79399,80496,81588,82675,83820,84980,86163,87386,88598,89799,91043,92298,93752,95133,96462,97891,99355,100764,102225,103642,105122,106641,108215,109778,111371,112941,114455,116034,117710,119370,121136,122833,124537,126270,128082,129903,131781,133697,135566,137491,139428,141486,143508,145594,147795,149806,151886,154079,156355,158663,161010,163356,165728,168193,170706,173121,175532,178087,180626,183299,185976,188650,191405,194116,196883,199647,202492,205407,208340,211314,214345,217445,220592,223754,226945,230289,233695,237029,240582,244007,247510,251156,254882,258585,262388,266281,270164,274160,278267,282360,286578,290800,295046,299516,303955,308411,312732,317286,321765,326441,330895,335563,340331,345220,350091,355198,360231,365324,370482,375813,381143,386552,392029,397632,403350,409071,414961,420866,426757,432802,439016,445269,451628,457972,464432,471107,477835,484682,491554,498623,505758,512906,520209,527554,535081,542719,550368,558077,565775,573820,581702,589932,598334,606695,615213,623744,632407,641180,650133,659121,668155,677126,686459,695628,705122,714900,724603,734402,744200,754153,764409,774619,785061,795634,806144,816870,827514,838371,849601,860807,872298,884066,895932,907788,920087,932453,944793,957183,969665,982664
1,1,1,2,3,5,7,7,8,10,11,14,16,20,21,25,27,29,33,39,44,47,55,60,63,74,81,87,91,101,108,113,117,125,132,139,145,153,158,167,171,178,184,192,197,202,206,215,221,231,243,253,266,277,281,291,294,302,310,320,326,337,363,383,402,420,442,458,487,511,543,573,606,645,668,692,719,755,790,831,863,897,927,955,982,1015,1046,1087,1138,1177,1216,1254,1298,1332,1374,1412,1466,1522,1569,1633,1685,1748,1813,1868,1932,1982,2049,2122,2173,2238,2291,2367,2436,2491,2551,2616,2668,2718,2780,2850,2916,2975,3036,3101,3173,3244,3314,3367,3450,3534,3591,3670,3747,3806,3881,3958,4029,4111,4209,4281,4361,4432,4504,4578,4656,4742,4835,4937,5029,5133,5225,5326,5426,5524,5610,5729,5841,5935,6030,6116,6219,6341,6463,6583,6728,6875,7012,7147,7294,7455,7582,7713,7850,7993,8166,8335,8499,8693,8874,9045,9232,9408,9602,9771,9979,10212,10432,10646,10862,11059,11308,11530,11762,12005,12265,12536,12818,13058,13357,13626,13894,14196,14469,14755,15033,15337,15639,15943,16280,16579,16912,17195,17525,17845,18150,18455,18794,19124,19462,19813,20137,20474,20828,21172,21527,21887,22274,22653,23060,23449,23869,24304,24729,25131,25528,25939,26352,26775,27192,27612,28031,28477,28915,29368,29854,30333,30762,31253,31718,32215,32685,33157,33650,34132,34652,35155,35667,36165,36712,37269,37761,38309,38824,39376,39956,40498,41085,41692,42287,42885,43465,44141,44816,45482,46156,46807,47527,48219,48885,49574,50270,50996,51770,52535,53319,54098,54911,55719,56564,57344,58238,59115,60011,60887,61754,62674,63609,64582,65597,66596,67601,68681,69716,70760,71795,72873,73964,75088,76194,77377,78538,79674,80811,82004,83212,84410,85586,86853,88170,89542,90880,92215,93555,94962,96304,97800,99290,100739,102289,103792,105301,106781,108307,109857,111466,113052,114608,116198,117843,119544,121252,122928,124630,126353,128199,129991,131790,133627,135418,137255,139177,141127,143009,144870,146756,148636,150593,152625,154737,156816,158843,160875,163022,165167,167238,169475,171737,174074,176322,178649,180899,183183,185587,187961,190415,192944,195551,198059,200682,203295,205927,208597,211270,214152,217055,219971,222879,225783,228721,231699,234757,237861,240944,244122,247341,250468,253609,256792,260034,263492,266917,270399,274054,277700,281259,284894,288605,292365,296111,299916,303825,307780,311763,315839,320104,324311,328607,332943,337308,341727,346320,350805,355360,360035,364784,369576,374525,379411,384349,389372,394487,399915,405218,410540,415933,421488,427022,432717,438381,444152,449981,455822,461727,467740,473897,480028,486149,492231,498568,505052,511549,518081,524698,531536,538313,545299,552230,559401,566742,574178,581590,589099,596810,604620,612597,620589,628622,636559,644940,653264,661827,670326,678802,687621,696509,705556,714640,723943,733519,742888,752354,762091,771721,781691,791552,801778,811968,822415,833126,843464,854189,865113,876206,887180,898508,909728,921253
1,1,1,1,1,1,1,3,3,6,7,7,7,7,8,8,8,8,10,13,14,15,15,15,16,21,25,30,32,32,42,47,52,58,64,72,80,100,110,116,122,132,142,147,154,160,167,179,186,195,202,215,224,233,242,246,258,271,281,291,304,323,344,357,365,384,403,426,447,476,495,515,533,563,583,600,622,640,666,681,709,731,751,788,816,845,858,887,905,924,953,985,1008,1031,1063,1087,1113,1142,1167,1205,1233,1269,1304,1349,1387,1427,1460,1505,1554,1606,1668,1727,1779,1829,1882,1961,2024,2108,2170,2246,2312,2385,2452,2526,2604,2681,2759,2834,2907,2974,3046,3106,3179,3261,3351,3426,3511,3602,3689,3766,3869,3950,4045,4129,4214,4298,4385,4473,4551,4658,4753,4856,4956,5077,5169,5271,5379,5495,5604,5701,5815,5913,6017,6134,6255,6380,6463,6597,6725,6866,6977,7111,7258,7399,7521,7660,7814,7950,8091,8229,8376,8534,8672,8839,8987,9144,9308,9469,9639,9807,9965,10145,10329,10495,10668,10859,11021,11206,11410,11610,11847,12087,12329,12566,12820,13072,13309,13558,13816,14119,14417,14675,14951,15205,15498,15786,16109,16364,16674,16992,17307,17641,17963,18254,18596,18927,19283,19613,19998,20326,20658,21014,21354,21699,22044,22395,22719,23105,23470,23819,24181,24584,24970,25372,25809,26206,26626,27105,27557,28027,28474,28934,29382,29831,30356,30818,31291,31750,32260,32777,33232,33702,34182,34700,35186,35662,36194,36754,37267,37852,38393,38949,39555,40128,40733,41336,41938,42515,43151,43759,44418,45079,45735,46415,47106,47809,48473,49165,49871,50596,51359,52150,52920,53721,54532,55345,56194,57058,57896,58722,59542,60424,61285,62157,63103,63947,64869,65762,66701,67598,68515,69423,70346,71232,72176,73113,74069,75034,76057,77119,78107,79129,80254,81295,82349,83410,84525,85704,86799,87975,89155,90333,91544,92821,93999,95230,96587,97818,99062,100335,101638,102931,104238,105531,106868,108270,109717,111139,112561,113994,115442,116924,118389,119857,121376,122901,124442,126027,127609,129211,130878,132595,134375,136068,137846,139626,141443,143348,145261,147182,149116,151054,153031,154977,157080,159098,161136,163301,165389,167603,169910,172094,174381,176696,179072,181486,183842,186269,188674,191188,193724,196387,198999,201615,204305,206998,209786,212600,215523,218508,221488,224521,227642,230761,234018,237309,240713,244061,247431,250849,254433,258094,261646,265159,268897,272642,276464,280266,284304,288182,292211,296271,300440,304605,308929,313168,317503,321936,326445,330974,335493,340219,344966,349810,354622,359518,364635,369679,374831,379883,385233,390565,395930,401433,406883,412558,418283,424128,430066,436125,442161,448401,454482,460692,467090,473542,480093,486669,493352,500150,506955,513706,520694,527765,534964,542327,549663,557154,564909,572681,580486,588358,596201,604035,612310,620619,629097,637705,646344,655164,664077,672993,681990,691246,700707,710162,719810,729505,739355,749403,759797,770271,780747,791429,801867,812743,823726
1,1,1,1,4,6,7,8,11,13,15,16,16,22,25,29,32,39,43,53,59,68,75,84,92,107,113,126,136,143,153,159,168,180,196,208,219,233,244,255,260,266,276,285,297,305,317,331,344,356,365,369,382,388,399,403,416,427,441,455,468,481,488,509,526,533,545,558,570,582,601,617,635,647,665,698,720,737,764,781,800,821,848,868,900,924,955,982,1008,1042,1071,1098,1136,1170,1214,1249,1289,1334,1375,1426,1471,1518,1570,1628,1680,1737,1803,1875,1950,2025,2092,2160,2217,2294,2385,2454,2534,2620,2712,2787,2898,3003,3114,3199,3292,3405,3504,3607,3722,3841,3928,4047,4143,4268,4376,4501,4599,4724,4857,4976,5105,5231,5386,5494,5640,5797,5954,6080,6208,6335,6464,6606,6759,6923,7099,7257,7421,7591,7785,7963,8151,8356,8542,8724,8917,9109,9313,9527,9763,9983,10225,10473,10695,10935,11190,11425,11659,11903,12163,12413,12691,12967,13237,13502,13765,14045,14339,14622,14914,15192,15511,15851,16178,16462,16786,17102,17443,17767,18101,18484,18830,19191,19569,19909,20247,20607,20999,21389,21760,22137,22537,22977,23426,23856,24267,24714,25163,25626,26079,26565,27044,27488,27980,28479,29001,29514,30002,30563,31067,31614,32158,32740,33275,33804,34331,34873,35443,35991,36553,37144,37759,38367,38963,39565,40209,40856,41531,42177,42809,43479,44150,44839,45579,46275,46999,47759,48491,49219,49996,50768,51576,52398,53225,54044,54843,55728,56549,57344,58200,59059,59955,60844,61754,62679,63593,64512,65506,66431,67441,68426,69399,70480,71563,72659,73773,74911,76062,77213,78338,79496,80715,81919,83101,84297,85475,86815,88123,89423,90804,92158,93540,94966,96410,97884,99326,100751,102282,103827,105323,106913,108474,110104,111756,113333,115117,116802,118544,120247,122064,123852,125778,127643,129453,131385,133380,135384,137445,139457,141541,143518,145671,147904,150093,152332,154603,156946,159179,161432,163859,166266,168726,171190,173693,176257,178713,181299,183827,186377,188972,191653,194420,197167,199988,202861,205730,208669,211637,214614,217677,220723,223855,227033,230115,233259,236524,239772,243156,246505,249947,253453,256956,260463,264097,267746,271346,275101,278850,282649,286527,290482,294416,298446,302387,306485,310776,315081,319207,323557,328055,332468,336927,341429,346091,350634,355263,360094,365033,369990,375006,379940,385064,390348,395622,401032,406485,412103,417794,423468,429099,434985,440888,446982,452843,458843,465031,471274,477588,483975,490474,497134,503726,510397,517122,523768,530685,537583,544547,551647,558817,566180,573562,581198,588854,596402,604358,612192,620147,628260,636352,644650,652979,661498,670127,678879,687621,696547,705639,714854,724186,733761,743244,753017,763020,773198,783553,793955,804592,815312,826223,837192,848344,859665,871017,882762,894377,906357,918556,930808,942945,955368,967965,980474,993271,1006211,1019227,1032453,1045904,1059488,1073167,1086963,1100873,1114965,1129265,1143838,1158552,1173397,1188197,1203334,1218582,1233948,1249661,1265595,1281730,1297715,1314190,1330792,1347521
1,1,1,5,7,9,11,12,13,15,20,21,23,31,37,40,44,54,58,66,71,75,78,88,100,108,112,114,124,131,137,145,160,166,176,186,192,202,209,217,227,235,238,249,252,260,272,282,296,304,322,340,354,370,396,413,427,448,473,491,516,545,581,612,644,681,720,752,796,845,880,925,975,1028,1059,1101,1146,1190,1232,1262,1306,1336,1381,1418,1452,1487,1533,1581,1623,1659,1688,1727,1768,1801,1838,1868,1909,1955,1998,2035,2096,2143,2186,2245,2297,2352,2395,2451,2504,2556,2621,2670,2741,2810,2869,2933,3007,3079,3145,3212,3285,3365,3429,3500,3579,3666,3752,3839,3931,4012,4104,4192,4288,4404,4509,4636,4740,4850,4937,5043,5157,5269,5386,5512,5639,5757,5868,5975,6096,6208,6327,6443,6569,6709,6854,6990,7123,7246,7391,7524,7677,7824,7963,8098,8249,8414,8565,8711,8875,9015,9169,9324,9493,9655,9801,9974,10138,10314,10472,10630,10800,10972,11133,11299,11464,11627,11804,11977,12159,12350,12542,12733,12910,13105,13284,13480,13672,13863,14082,14276,14500,14705,14955,15192,15407,15623,15882,16131,16395,16634,16905,17183,17438,17723,18006,18287,18608,18903,19204,19476,19787,20075,20377,20691,20991,21297,21632,21953,22242,22605,22958,23306,23665,23995,24379,24746,25149,25518,25903,26301,26728,27134,27542,27936,28349,28756,29175,29599,30058,30514,30984,31484,31987,32456,32958,33442,33952,34433,34899,35382,35906,36456,36975,37506,38014,38563,39120,39709,40278,40842,41407,42003,42559,43126,43724,44319,44918,45533,46142,46840,47533,48209,48875,49549,50254,50939,51652,52350,53080,53864,54602,55360,56091,56861,57696,58472,59254,60068,60860,61663,62528,63379,64196,65064,65904,66786,67672,68558,69460,70387,71319,72262,73159,74075,75016,75994,76957,77937,78950,79936,81016,82107,83126,84201,85331,86443,87577,88695,89853,91037,92239,93486,94614,95836,97082,98326,99599,100980,102280,103596,104923,106313,107707,109091,110453,111957,113385,114908,116379,117934,119488,121020,122489,123939,125514,127160,128786,130451,132082,133783,135434,137128,138841,140570,142401,144261,146181,148039,149979,152016,153999,155970,158037,160117,162182,164410,166618,168782,171046,173333,175600,177921,180234,182725,185154,187667,190207,192769,195406,198005,200681,203291,206066,208827,211572,214444,217458,220446,223283,226264,229303,232476,235569,238716,241906,245065,248322,251627,254866,258171,261633,265170,268572,272129,275662,279229,283049,286725,290527,294354,298235,302108,306190,310155,314321,318518,322770,327071,331531,335981,340508,345040,349647,354249,358993,363827,368820,373934,379061,384257,389589,394920,400275,405781,411248,417000,422828,428675,434642,440653,446846,453084,459462,465943,472431,478859,485478,492195,498914,505733,512517,519448,526510,533674,540925,548197,555655,563253,570848,578530,586263,594232,602234,610287,618538,626765,635259,643850,652347,660915,669538,678367,687237,696210,705306,714582,723952,733465,743101,752667,762614,772533,782253,792505,802690,813001,823522
1,1,3,3,3,3,4,4,5,5,5,7,7,7,9,9,9,9,10,12,14,18,18,22,27,35,46,54,62,71,80,90,95,101,108,115,124,135,143,151,161,172,181,196,205,206,217,229,231,239,250,269,279,293,302,315,333,341,364,381,397,412,438,471,500,523,548,581,605,644,675,701,731,760,795,840,866,901,935,961,992,1030,1064,1091,1127,1158,1193,1228,1254,1285,1314,1342,1382,1417,1450,1488,1520,1555,1597,1624,1664,1711,1756,1798,1855,1904,1933,1984,2035,2084,2127,2180,2224,2287,2337,2387,2452,2506,2554,2608,2657,2705,2756,2799,2840,2880,2930,2976,3029,3068,3113,3154,3193,3239,3288,3347,3399,3455,3495,3535,3588,3622,3676,3724,3788,3831,3881,3944,4005,4070,4136,4201,4280,4334,4415,4501,4575,4650,4742,4812,4902,5004,5087,5189,5294,5381,5487,5580,5663,5744,5837,5940,6043,6137,6226,6325,6413,6500,6608,6707,6811,6923,6995,7091,7196,7292,7401,7527,7640,7777,7898,8006,8135,8247,8363,8500,8636,8782,8908,9037,9185,9346,9487,9640,9803,9940,10130,10276,10436,10599,10748,10919,11092,11283,11491,11654,11826,12006,12192,12403,12626,12866,13098,13307,13536,13768,14004,14236,14489,14754,15025,15283,15550,15830,16098,16366,16663,16947,17251,17606,17905,18188,18457,18770,19055,19371,19685,20037,20384,20730,21079,21446,21829,22233,22620,23003,23376,23784,24168,24632,25058,25490,25932,26425,26860,27361,27850,28344,28851,29327,29862,30413,30966,31522,32105,32662,33213,33823,34413,35060,35694,36434,37108,37817,38520,39247,39948,40688,41446,42179,42943,43704,44510,45258,46064,46902,47725,48573,49457,50289,51119,52013,52937,53809,54681,55521,56430,57357,58279,59218,60162,61084,62040,63042,64067,65151,66145,67155,68193,69238,70314,71429,72576,73793,74989,76107,77349,78587,79797,81099,82399,83714,85041,86424,87871,89253,90662,92109,93510,95017,96493,98018,99469,101064,102663,104252,105834,107392,108970,110622,112279,113949,115695,117424,119209,120925,122679,124540,126371,128258,130126,132113,134012,135987,138028,139987,142095,144241,146381,148608,150809,153026,155229,157475,159835,162186,164659,167127,169613,172112,174662,177180,179782,182360,185007,187752,190525,193297,196126,198968,201929,204727,207699,210587,213599,216720,219849,222878,226091,229357,232618,235832,239090,242434,245782,249236,252739,256162,259791,263376,267045,270701,274422,278202,282042,285795,289614,293646,297622,301723,305903,310162,314365,318730,323119,327488,331976,336552,341130,345692,350509,355470,360328,365189,370263,375293,380547,385801,391107,396559,401973,407469,413083,418677,424373,430088,435812,441757,447845,453915,460101,466296,472402,478675,485248,491704,498380,505059,511942,518725,525581,532691,539743,546968,554241,561623,569238,576824,584624,592546,600392,608466,616727,624954,633344,641771,650579,659341,668113,677295,686591,696033,705535,715022,724694,734676,744445,754415,764390,774620,784962,795511,806153,816762,827582,838446,849344
1,1,1,1,4,8,10,11,12,16,17,22,26,30,36,49,53,62,74,86,101,110,118,128,136,150,162,168,183,201,219,231,248,263,276,294,302,315,328,346,368,382,399,417,433,450,467,489,508,525,538,557,580,598,611,626,645,671,702,727,756,786,816,845,891,917,956,1001,1038,1076,1106,1150,1200,1252,1299,1362,1426,1490,1548,1620,1676,1747,1806,1878,1943,2006,2076,2146,2223,2292,2348,2420,2496,2568,2655,2729,2798,2884,2961,3040,3111,3195,3268,3339,3412,3485,3558,3641,3721,3801,3864,3945,4034,4116,4210,4288,4364,4440,4530,4610,4688,4772,4866,4965,5062,5150,5248,5361,5464,5573,5679,5798,5924,6029,6149,6254,6389,6520,6636,6769,6902,7039,7158,7300,7431,7568,7731,7875,8052,8197,8336,8482,8625,8774,8941,9099,9255,9409,9594,9776,9935,10140,10343,10511,10673,10856,11062,11247,11427,11613,11807,12035,12250,12468,12669,12857,13070,13266,13483,13698,13898,14118,14334,14560,14763,14992,15226,15462,15719,15978,16240,16498,16729,17013,17297,17589,17878,18172,18470,18744,19034,19379,19684,20009,20314,20659,20962,21274,21613,21945,22261,22606,22934,23265,23620,23971,24282,24626,24983,25342,25730,26115,26523,26942,27312,27716,28139,28572,29023,29446,29867,30323,30777,31161,31639,32080,32571,33030,33498,33994,34499,34996,35476,36023,36533,37046,37584,38086,38682,39199,39775,40332,40893,41455,42011,42621,43234,43818,44404,45043,45677,46314,46974,47626,48259,48927,49575,50202,50837,51465,52124,52741,53447,54169,54841,55515,56207,56922,57644,58330,59071,59791,60489,61223,61973,62660,63391,64113,64931,65733,66515,67352,68163,69013,69812,70675,71540,72396,73266,74236,75143,76057,77052,78003,78944,79966,80939,81862,82895,83974,85000,86071,87147,88210,89322,90431,91511,92697,93803,94913,96122,97332,98496,99746,101004,102187,103422,104643,105920,107157,108448,109692,111048,112349,113703,115106,116498,117903,119321,120788,122253,123744,125271,126735,128244,129855,131468,133048,134699,136460,138193,139949,141753,143663,145480,147356,149237,151173,153120,155131,157151,159163,161254,163410,165582,167769,169999,172248,174496,176836,179069,181428,183749,186152,188589,191059,193496,196026,198631,201184,203870,206555,209217,212016,214850,217563,220399,223267,226134,229057,232123,235124,238196,241322,244548,247797,251005,254219,257480,260893,264235,267754,271383,274943,278631,282387,286193,290062,293971,297915,301992,306193,310304,314570,318923,323378,327824,332362,336850,341541,346249,351000,355784,360618,365612,370666,375824,381031,386282,391831,397223,402890,408552,414277,420067,426007,431786,437884,444070,450158,456472,462744,469285,475871,482537,489408,496377,503434,510462,517696,525123,532526,540119,547823,555498,563242,571222,579154,587364,595533,603680,612031,620412,628962,637676,646437,655401,664294,673470,682568,691900,701150,710683,720420,730260,739886,749698,759625,769607,780005,790453,801095,811825,822347,833292,844233,855250,866470,877844,889298,900898,912633,924297,935998,948064,960286,972599
1,1,1,1,1,2,4,5,5,6,8,9,10,12,13,14,17,22,23,28,29,32,34,40,46,50,55,65,67,74,86,98,104,112,120,124,134,141,150,161,170,178,187,200,206,211,216,222,232,236,244,247,255,262,265,269,272,273,282,287,293,294,298,301,308,308,313,321,322,324,328,333,336,343,348,352,355,368,377,394,410,418,432,443,457,468,479,494,512,524,536,555,579,598,613,634,659,677,697,724,755,782,811,843,870,904,937,973,1005,1039,1066,1098,1132,1161,1200,1236,1267,1315,1358,1394,1422,1466,1499,1536,1568,1608,1644,1672,1706,1743,1773,1807,1840,1872,1913,1945,1985,2020,2056,2101,2137,2170,2204,2246,2276,2313,2353,2407,2459,2492,2545,2591,2644,2696,2752,2820,2876,2938,2997,3048,3103,3176,3254,3323,3399,3465,3544,3625,3700,3783,3855,3930,4029,4112,4189,4285,4369,4458,4569,4669,4758,4856,4959,5072,5167,5280,5386,5483,5591,5702,5819,5920,6044,6175,6312,6424,6545,6653,6789,6932,7077,7241,7419,7577,7747,7908,8106,8273,8448,8625,8816,9008,9186,9393,9631,9834,10043,10243,10468,10659,10858,11098,11344,11571,11814,12051,12268,12497,12699,12937,13154,13392,13625,13855,14089,14352,14605,14839,15071,15365,15623,15930,16233,16502,16789,17051,17324,17582,17858,18152,18424,18666,18942,19249,19553,19851,20133,20422,20738,21049,21324,21653,21985,22300,22627,22977,23312,23644,23967,24331,24700,25065,25466,25848,26259,26684,27111,27530,27961,28378,28822,29270,29690,30109,30550,31007,31474,31993,32442,32961,33432,33886,34401,34893,35379,35865,36358,36923,37421,37967,38467,38980,39529,40121,40643,41231,41806,42437,43074,43702,44334,45049,45782,46533,47227,48002,48737,49528,50290,51073,51894,52657,53480,54342,55148,55988,56852,57694,58526,59423,60259,61133,62033,62941,63879,64832,65738,66711,67645,68586,69581,70596,71615,72605,73640,74683,75867,76950,78088,79162,80259,81381,82539,83716,84949,86130,87387,88630,89862,91155,92501,93835,95216,96625,98008,99519,101011,102588,104183,105758,107338,108918,110535,112091,113786,115426,117074,118815,120567,122320,124219,126160,128109,130081,132051,134023,136014,138047,140150,142300,144532,146807,149212,151534,153990,156460,158974,161522,164132,166825,169499,172275,175095,177911,180816,183717,186600,189660,192742,195932,199221,202591,205901,209214,212594,216096,219676,223226,226775,230527,234316,238256,242161,246163,250196,254272,258447,262623,266905,271087,275421,279799,284141,288566,293044,297701,302232,306816,311502,316280,321115,326094,331098,336286,341466,346827,352195,357619,363032,368670,374329,379971,385778,391652,397660,403562,409731,416027,422188,428460,434970,441378,448020,454747,461519,468572,475572,482680,489979,497085,504414,511790,519278,527041,534914,542766,550692,558700,566746,574878,583009,591331,599898,608405,617012,625774,634638,643576,652446,661776,671071,680363,689892,699279,708786,718473,728096
1,1,1,1,1,1,1,1,4,7,8,10,10,10,13,19,22,30,31,35,42,53,64,74,84,95,102,106,116,127,133,144,149,153,162,172,178,186,196,208,227,237,247,253,262,274,285,293,310,322,337,358,377,401,427,453,480,501,524,541,558,580,605,627,654,687,716,733,759,787,811,843,869,891,921,943,965,984,1009,1030,1057,1086,1116,1131,1169,1200,1223,1244,1273,1300,1323,1348,1376,1395,1425,1460,1499,1529,1561,1585,1615,1649,1684,1719,1760,1790,1823,1861,1893,1925,1962,2009,2039,2083,2125,2174,2218,2268,2307,2360,2400,2445,2494,2546,2588,2631,2678,2724,2773,2821,2866,2913,2961,3008,3051,3088,3134,3179,3212,3259,3294,3327,3376,3415,3448,3482,3518,3551,3591,3623,3659,3689,3722,3761,3805,3849,3886,3928,3971,4011,4050,4087,4135,4170,4223,4277,4318,4371,4420,4456,4496,4543,4586,4626,4665,4702,4737,4789,4828,4863,4902,4940,4988,5029,5072,5111,5155,5194,5227,5262,5290,5322,5368,5405,5446,5485,5526,5560,5608,5652,5687,5727,5763,5800,5843,5877,5911,5959,6003,6038,6079,6124,6173,6210,6256,6311,6361,6405,6448,6498,6553,6610,6667,6718,6764,6822,6884,6949,7007,7075,7141,7193,7261,7332,7389,7456,7517,7580,7649,7719,7788,7860,7930,7986,8042,8094,8153,8221,8294,8364,8439,8516,8574,8641,8711,8772,8843,8896,8956,9027,9110,9182,9239,9300,9364,9438,9498,9561,9634,9702,9752,9820,9892,9948,10011,10079,10139,10212,10282,10369,10445,10520,10591,10659,10735,10818,10897,10981,11061,11132,11224,11311,11403,11501,11578,11662,11735,11838,11924,12014,12107,12204,12294,12417,12513,12617,12717,12836,12949,13071,13187,13313,13433,13549,13676,13812,13919,14037,14181,14329,14449,14583,14712,14845,14977,15109,15261,15405,15580,15747,15910,16044,16200,16373,16527,16693,16844,16989,17150,17309,17468,17631,17787,17954,18128,18279,18429,18575,18745,18890,19067,19228,19387,19540,19694,19866,20033,20209,20361,20510,20662,20816,20955,21100,21246,21410,21550,21691,21835,22009,22127,22255,22409,22547,22699,22847,23000,23150,23304,23474,23652,23817,23988,24150,24329,24513,24696,24884,25095,25284,25464,25686,25875,26074,26279,26491,26713,26926,27166,27402,27640,27898,28165,28428,28680,28935,29229,29497,29823,30145,30411,30697,31021,31341,31661,31984,32285,32579,32876,33212,33569,33914,34277,34611,34979,35332,35677,36032,36377,36737,37150,37547,37939,38341,38746,39143,39512,39908,40326,40773,41239,41696,42135,42573,43018,43464,43898,44389,44879,45358,45860,46367,46925,47454,48030,48580,49117,49674,50284,50894,51486,52097,52718,53382,54096,54713,55377,56080,56762,57480,58188,58944,59707,60471,61296,62077,62951,63798,64676,65584,66524,67412,68388,69413,70446,71515,72573,73666,74857,76010,77204,78356,79562,80814,82060,83292,84522
1,1,1,1,1,1,1,4,4,6,6,6,7,7,10,11,15,18,23,27,34,39,44,47,51,55,60,68,70,74,81,88,91,98,109,123,128,136,145,165,180,192,210,228,240,255,266,275,289,301,316,336,363,388,413,438,459,480,505,530,553,578,612,643,669,701,723,763,800,853,892,928,972,1016,1064,1103,1145,1190,1239,1281,1333,1383,1443,1489,1532,1601,1661,1705,1757,1817,1869,1919,1968,2023,2082,2130,2196,2257,2318,2372,2425,2484,2546,2613,2672,2723,2787,2849,2908,2986,3055,3111,3179,3245,3332,3406,3486,3573,3662,3745,3815,3886,3982,4085,4174,4252,4349,4425,4526,4600,4704,4806,4913,4990,5072,5141,5215,5282,5359,5436,5531,5613,5681,5749,5823,5905,5987,6072,6167,6237,6322,6400,6487,6578,6669,6771,6861,6954,7054,7144,7254,7379,7497,7621,7755,7879,8001,8130,8268,8418,8538,8671,8798,8948,9106,9253,9389,9552,9706,9875,10036,10177,10327,10473,10620,10770,10929,11077,11234,11395,11572,11738,11902,12083,12242,12410,12554,12723,12894,13084,13238,13424,13589,13758,13932,14105,14276,14482,14676,14850,15017,15191,15371,15568,15752,15939,16119,16311,16534,16742,16945,17176,17420,17645,17868,18099,18330,18596,18860,19144,19400,19667,19934,20239,20497,20788,21072,21375,21658,21977,22257,22564,22843,23127,23431,23702,23998,24287,24571,24849,25146,25423,25716,26012,26309,26607,26887,27213,27525,27834,28181,28523,28836,29187,29564,29913,30285,30645,31022,31420,31818,32249,32621,33028,33424,33835,34218,34672,35109,35552,35970,36390,36870,37346,37810,38301,38796,39298,39776,40208,40726,41200,41737,42251,42773,43334,43889,44491,45050,45591,46170,46744,47348,47944,48541,49176,49786,50405,51053,51727,52350,53033,53698,54382,55030,55721,56418,57104,57760,58389,59076,59747,60464,61186,61925,62706,63514,64341,65215,66030,66874,67728,68581,69472,70389,71339,72286,73239,74234,75263,76254,77242,78252,79236,80300,81362,82472,83581,84686,85810,86976,88127,89318,90464,91679,92887,94137,95403,96658,97945,99255,100580,101903,103272,104644,106088,107531,108995,110401,111839,113310,114778,116303,117831,119328,120868,122462,124111,125801,127427,129094,130776,132490,134261,136057,137866,139700,141446,143301,145207,147146,149110,151064,153133,155182,157174,159230,161239,163291,165386,167542,169696,171905,174156,176379,178695,180954,183301,185663,188177,190640,193343,196045,198626,201249,204065,206869,209694,212671,215589,218616,221573,224690,227796,231021,234247,237504,240833,244212,247595,251008,254439,257927,261482,265021,268779,272500,276210,280000,283827,287750,291464,295397,299369,303382,307380,311317,315444,319624,323860,328108,332363,336741,341125,345626,350125,354727,359365,364127,368990,373858,378806,383732,388737,393882,398974,404137,409511,414957,420459,425825,431314,436872,442615,448386,454252,460103,466094,472247,478596,484885,491267,497831,504385,511014,517661,524403,531294,538174,545234,552134,559301,566590,573814,581377,588943,596638
1,1,1,1,2,2,3,5,6,7,8,8,10,11,13,17,23,26,27,30,37,42,46,51,56,60,63,71,76,85,95,104,116,129,135,152,169,178,194,222,235,249,257,270,291,304,319,329,346,364,378,402,416,444,460,483,495,516,526,542,553,569,591,613,637,660,677,701,717,740,771,801,820,838,854,879,903,923,933,954,977,1000,1028,1049,1075,1099,1125,1149,1168,1186,1207,1221,1248,1281,1308,1331,1358,1383,1414,1444,1483,1522,1560,1607,1645,1679,1706,1747,1784,1818,1866,1909,1955,2004,2051,2096,2141,2194,2239,2279,2334,2382,2433,2479,2520,2581,2618,2673,2721,2776,2818,2862,2914,2978,3029,3081,3130,3184,3249,3329,3391,3443,3490,3541,3599,3664,3725,3779,3858,3928,3988,4057,4128,4204,4274,4337,4394,4442,4515,4579,4641,4712,4775,4837,4897,4958,5028,5095,5175,5243,5314,5393,5455,5530,5607,5690,5752,5830,5912,5995,6087,6166,6252,6349,6442,6545,6626,6731,6840,6962,7063,7166,7269,7398,7521,7654,7788,7945,8106,8252,8379,8530,8671,8830,8973,9111,9261,9400,9543,9692,9838,9959,10092,10236,10387,10504,10636,10791,10932,11081,11215,11332,11484,11633,11788,11929,12084,12227,12384,12541,12714,12871,13046,13220,13379,13545,13723,13917,14100,14280,14450,14618,14805,14994,15185,15397,15587,15777,15943,16145,16369,16592,16811,17029,17243,17452,17688,17893,18101,18343,18567,18840,19125,19380,19616,19866,20123,20375,20654,20921,21234,21531,21832,22137,22423,22713,23010,23297,23604,23891,24215,24533,24841,25125,25424,25732,26052,26371,26674,27038,27349,27681,28009,28329,28670,29012,29358,29733,30110,30457,30843,31202,31622,31993,32362,32718,33111,33518,33915,34304,34683,35080,35501,35893,36308,36731,37147,37576,38005,38440,38837,39293,39734,40169,40617,41075,41507,41978,42437,42892,43376,43847,44324,44821,45351,45863,46417,46955,47502,48035,48576,49143,49730,50324,50947,51599,52213,52835,53465,54087,54761,55401,56045,56704,57365,58096,58785,59490,60199,60951,61690,62447,63184,63924,64691,65419,66222,67016,67803,68612,69413,70224,71053,71901,72725,73598,74450,75366,76337,77267,78246,79261,80277,81276,82291,83376,84413,85463,86549,87667,88826,89965,91127,92353,93510,94708,95930,97187,98411,99599,100928,102156,103397,104665,105927,107184,108439,109743,111048,112333,113637,115003,116383,117749,119143,120500,121916,123298,124711,126167,127672,129146,130643,132149,133600,135194,136772,138366,140004,141588,143257,144967,146700,148434,150207,151908,153786,155503,157371,159157,161046,162973,164789,166646,168650,170586,172664,174673,176718,178814,180897,182946,185129,187274,189496,191692,193872,196240,198594,201002,203331,205703,208040,210427,212863,215318,217836,220292,222760,225348,227888,230522,233057,235678,238379,241071,243811,246566,249278,252197,255122,257984,260979,263966,267034,270147,273392,276683,279885,283191,286678,290182,293577,297146,300706,304364,308054
1,1,2,4,6,7,10,13,15,18,20,26,30,37,47,50,55,64,69,73,78,84,92,98,108,121,128,135,155,163,172,179,192,198,210,215,221,230,235,243,248,253,257,260,268,273,280,287,292,297,311,317,324,333,339,343,349,358,376,396,413,422,438,453,464,473,495,522,541,572,601,622,638,652,675,691,710,737,762,797,825,847,872,894,915,943,970,1000,1040,1068,1100,1134,1165,1210,1250,1282,1311,1356,1393,1434,1472,1520,1561,1593,1633,1680,1722,1787,1825,1864,1900,1936,1979,2022,2077,2118,2167,2211,2252,2296,2352,2405,2455,2515,2569,2612,2686,2744,2786,2848,2922,2972,3041,3120,3195,3267,3349,3410,3480,3550,3595,3660,3725,3790,3862,3920,4005,4087,4155,4244,4330,4420,4517,4611,4702,4774,4880,4973,5056,5144,5229,5326,5409,5509,5628,5761,5873,5977,6090,6206,6304,6417,6542,6667,6795,6920,7055,7173,7289,7420,7549,7687,7822,7937,8039,8183,8329,8461,8631,8780,8953,9121,9290,9449,9620,9798,9966,10173,10382,10571,10763,10973,11177,11348,11556,11741,11909,12109,12309,12516,12718,12948,13187,13421,13660,13919,14153,14413,14643,14858,15098,15325,15573,15828,16052,16292,16562,16830,17091,17379,17656,17925,18208,18489,18758,19043,19341,19636,19928,20244,20552,20868,21182,21507,21826,22138,22510,22867,23203,23577,23950,24319,24722,25139,25554,25925,26344,26741,27124,27530,27939,28373,28812,29245,29678,30119,30563,31010,31499,31951,32394,32899,33386,33869,34382,34847,35369,35867,36408,36912,37424,37955,38443,38996,39599,40165,40731,41316,41860,42491,43063,43642,44232,44860,45463,46106,46754,47381,48036,48705,49394,50133,50852,51543,52295,53028,53734,54438,55224,55883,56631,57403,58161,58979,59738,60583,61406,62229,63086,63959,64855,65748,66629,67557,68462,69404,70393,71375,72345,73364,74342,75369,76458,77428,78483,79571,80653,81731,82920,84073,85199,86403,87621,88800,89991,91239,92460,93669,94929,96259,97575,98859,100188,101534,102858,104262,105709,107197,108669,110096,111609,113158,114742,116299,117924,119512,121126,122734,124388,126087,127788,129501,131257,133019,134758,136561,138371,140244,142120,144012,145876,147790,149686,151627,153685,155648,157656,159729,161895,163966,166173,168507,170753,173031,175404,177846,180293,182734,185201,187699,190294,192865,195444,198091,200785,203544,206260,209050,211877,214820,217703,220646,223614,226650,229701,232865,235954,239262,242497,245695,248999,252395,255968,259407,262982,266511,270157,273836,277458,281318,285025,288852,292802,296817,300698,304780,308931,312939,317122,321276,325641,329913,334325,338688,343073,347644,352184,356828,361471,366264,371139,376088,380907,385771,390813,395910,401109,406299,411650,416931,422274,427801,433502,439253,444973,450855,456727,462810,468811,475043,481445,487879,494369,500808,507376,513952,520808,527570,534365,541399,548600,555870,563243,570629,578296,585877,593534,601512,609682,617529,625738,633945,642327,650867,659525,668136,676661
1,1,1,3,4,4,5,7,10,16,19,20,23,24,29,32,37,46,53,62,66,75,83,95,101,112,120,133,140,147,157,171,183,191,204,212,219,228,234,241,244,251,259,266,274,284,295,309,325,339,352,356,366,384,394,411,430,446,463,483,504,526,548,582,614,637,660,689,705,729,757,780,807,827,858,901,926,947,974,995,1025,1047,1066,1096,1133,1167,1189,1219,1260,1288,1317,1344,1374,1410,1444,1476,1497,1532,1576,1611,1654,1697,1740,1780,1813,1847,1881,1917,1957,2006,2054,2098,2148,2194,2252,2295,2341,2394,2436,2498,2558,2622,2675,2730,2774,2823,2873,2924,2977,3025,3071,3114,3165,3227,3305,3353,3391,3420,3457,3499,3549,3591,3637,3675,3715,3768,3816,3870,3914,3951,3992,4025,4076,4109,4160,4204,4243,4286,4328,4389,4426,4480,4553,4617,4685,4724,4773,4823,4892,4973,5044,5117,5198,5283,5358,5442,5508,5587,5676,5767,5858,5934,6010,6105,6221,6335,6430,6546,6685,6811,6947,7063,7180,7311,7438,7574,7738,7877,8039,8188,8350,8488,8660,8842,9028,9241,9448,9629,9825,10049,10271,10460,10691,10934,11143,11360,11606,11844,12086,12315,12580,12821,13077,13343,13609,13901,14189,14491,14796,15067,15351,15638,15907,16216,16538,16871,17192,17538,17872,18190,18533,18862,19177,19492,19810,20131,20452,20808,21195,21546,21857,22194,22525,22885,23239,23580,23941,24298,24662,25058,25442,25824,26193,26565,26924,27340,27736,28165,28537,28939,29356,29787,30213,30654,31080,31527,32000,32481,32970,33462,33925,34401,34892,35386,35928,36474,37042,37627,38227,38801,39419,40024,40691,41346,41996,42694,43349,44022,44688,45399,46121,46834,47522,48249,48985,49713,50452,51234,52006,52871,53733,54590,55402,56201,57119,57990,58949,59863,60810,61759,62748,63723,64635,65611,66620,67637,68678,69730,70834,71926,73014,74082,75195,76378,77637,78848,80050,81276,82559,83843,85192,86528,87957,89329,90746,92175,93621,95076,96587,98105,99599,101144,102777,104377,106015,107621,109291,110970,112569,114183,115899,117658,119476,121284,123046,124888,126668,128571,130474,132476,134461,136524,138590,140643,142628,144795,146946,149235,151550,153802,156150,158541,160967,163415,165953,168439,170949,173540,176175,178668,181388,184123,186947,189731,192569,195468,198383,201275,204363,207441,210483,213647,216819,220103,223329,226620,229998,233338,236726,240133,243630,247257,250840,254499,258194,261840,265533,269196,272923,276810,280672,284582,288590,292635,296741,300803,304921,309088,313290,317575,322025,326541,331120,335560,340212,344887,349569,354229,359234,364176,369093,374080,379117,384408,389747,395121,400510,406114,411638,417331,423143,429040,434901,440985,447002,453255,459514,465771,471962,478243,484786,491380,498042,504674,511400,518174,525195,532144,539268,546391,553917,561217,568592,575970,583584,591189,598937,606732,614522,622540,630538,638524,646729,654960,663375,671915,680608,689222,698000,706767,715547,724382,733548,742704,752030,761523,770993
1,1,1,1,1,3,3,7,9,12,14,14,19,26,30,37,43,44,49,54,61,70,84,96,104,119,132,146,158,177,196,206,222,233,248,266,283,297,319,336,353,377,404,423,446,462,483,507,533,568,589,616,633,664,700,727,761,790,815,847,876,908,950,987,1020,1059,1096,1134,1179,1230,1274,1317,1363,1400,1440,1491,1549,1606,1671,1744,1816,1890,1960,2042,2113,2204,2286,2377,2469,2551,2632,2712,2793,2886,2980,3069,3163,3261,3351,3444,3549,3652,3753,3837,3936,4022,4113,4233,4338,4441,4551,4643,4734,4837,4942,5045,5140,5260,5391,5512,5628,5759,5899,6021,6140,6261,6402,6543,6673,6813,6952,7089,7252,7392,7553,7690,7813,7948,8106,8266,8418,8575,8708,8865,9000,9142,9288,9416,9565,9723,9864,10032,10195,10359,10533,10692,10866,11013,11203,11408,11610,11833,12023,12222,12418,12625,12830,13035,13227,13439,13629,13829,14034,14229,14427,14648,14847,15057,15283,15513,15720,15938,16156,16371,16595,16816,17068,17324,17556,17808,18061,18301,18550,18846,19132,19420,19695,20014,20317,20629,20928,21228,21531,21838,22168,22494,22844,23161,23476,23848,24219,24568,24914,25253,25558,25913,26302,26640,26960,27307,27657,28002,28342,28692,29027,29431,29834,30234,30611,31008,31392,31790,32183,32627,33083,33538,33952,34406,34814,35291,35721,36193,36663,37094,37549,38025,38455,38908,39379,39801,40276,40749,41197,41681,42177,42658,43110,43611,44084,44615,45115,45580,46085,46589,47126,47650,48251,48782,49380,49971,50583,51204,51865,52498,53156,53786,54438,55146,55822,56517,57258,57966,58715,59464,60234,60980,61774,62504,63292,64105,64960,65802,66618,67445,68299,69151,70015,70839,71715,72562,73408,74279,75133,76062,76979,77844,78779,79682,80542,81469,82377,83288,84223,85149,86097,87135,88157,89206,90276,91348,92423,93533,94710,95831,96977,98180,99461,100708,101969,103235,104575,105879,107287,108671,109998,111423,112850,114347,115805,117268,118819,120348,121874,123414,125006,126547,128205,129840,131440,133158,134853,136618,138358,140206,142038,143916,145725,147701,149748,151752,153815,155815,157928,160038,162151,164310,166549,168834,171150,173559,175947,178264,180734,183161,185774,188430,191108,193614,196197,198987,201780,204581,207422,210227,213242,216302,219388,222461,225529,228565,231790,234886,238032,241353,244754,248027,251512,255141,258730,262364,265972,269579,273275,277088,280905,284786,288730,292766,296845,300961,304993,309189,313453,317664,321925,326298,330693,335255,339803,344369,348907,353601,358429,363379,368139,373046,378016,383037,388177,393265,398581,403900,409240,414708,420257,425701,431345,437073,442761,448679,454699,460555,466717,472875,479118,485583,492106,498645,505208,512036,518773,525562,532428,539477,546518,553659,560976,568421,575870,583458,591063,598850,606741,614699,622614,630807,639159,647513,656143,664684,673288,682077,690932,700060,709274,718474,728020,737682,747357,757136,766982,777065,787200,797451,807950,818417,829137,839829,850779,861891,873144,884318,895872,907405,919023,930831,942769
1,1,1,1,1,3,5,5,7,9,12,16,16,16,16,17,17,17,20,22,24,24,25,27,32,36,43,49,55,61,65,69,75,80,97,104,111,123,137,150,155,168,176,184,192,198,207,222,228,239,246,250,260,264,271,278,286,290,299,304,308,315,320,321,324,328,336,345,348,352,359,365,374,378,384,391,401,413,424,428,441,454,465,480,494,505,516,530,540,548,558,568,585,598,610,625,640,650,663,686,699,708,723,738,744,749,762,765,777,788,801,813,822,836,848,854,860,871,876,889,897,909,916,922,928,933,935,941,951,961,967,977,985,991,997,998,1002,1006,1017,1025,1029,1034,1044,1054,1060,1077,1088,1106,1113,1127,1147,1165,1187,1205,1223,1240,1265,1288,1313,1341,1361,1385,1409,1438,1463,1484,1510,1535,1556,1581,1612,1636,1661,1685,1712,1725,1741,1762,1776,1792,1816,1831,1842,1861,1875,1892,1917,1935,1959,1972,1999,2026,2049,2079,2113,2141,2178,2211,2238,2281,2324,2372,2428,2483,2527,2579,2611,2658,2714,2763,2809,2865,2916,2979,3024,3068,3122,3183,3244,3301,3359,3423,3482,3557,3636,3714,3796,3885,3955,4021,4105,4185,4255,4353,4442,4527,4628,4717,4811,4903,4999,5078,5179,5274,5364,5471,5564,5704,5793,5901,6008,6138,6250,6362,6475,6600,6710,6824,6938,7073,7190,7304,7424,7555,7694,7797,7907,8044,8159,8269,8399,8511,8631,8741,8854,8973,9093,9220,9323,9436,9529,9626,9730,9833,9962,10071,10178,10274,10366,10488,10611,10714,10821,10947,11050,11159,11279,11397,11510,11627,11743,11868,12001,12130,12264,12373,12512,12652,12808,12942,13094,13245,13414,13547,13682,13833,13970,14121,14250,14382,14521,14668,14819,14962,15093,15229,15398,15543,15689,15858,16022,16163,16307,16461,16620,16786,16955,17122,17292,17481,17641,17858,18064,18240,18456,18667,18864,19058,19272,19493,19693,19928,20170,20404,20621,20821,21053,21274,21486,21716,21960,22198,22439,22673,22916,23166,23394,23641,23900,24163,24448,24718,24971,25251,25527,25780,26045,26306,26569,26845,27130,27395,27686,27990,28291,28585,28868,29173,29479,29832,30145,30447,30754,31025,31327,31641,31957,32275,32578,32895,33190,33531,33852,34170,34494,34839,35164,35510,35891,36239,36609,36977,37363,37730,38100,38476,38852,39230,39624,40015,40374,40769,41116,41512,41911,42313,42773,43236,43703,44137,44594,45060,45589,46051,46507,46989,47509,48014,48533,49036,49571,50111,50616,51141,51686,52238,52780,53317,53883,54454,55045,55657,56234,56859,57490,58167,58826,59472,60111,60789,61432,62085,62738,63487,64235,64976,65678,66383,67124,67846,68593,69333,70059,70806,71548,72337,73099,73892,74685,75474,76247,76986,77786,78644,79460,80329,81191,82075,82990,83917,84819,85733,86652,87618,88625,89593,90601
1,1,1,1,1,3,4,6,10,11,13,14,16,17,20,23,25,30,33,45,51,54,59,65,74,80,86,91,105,113,124,132,138,154,164,170,179,188,195,202,210,215,223,233,241,251,258,266,268,274,281,291,302,308,314,327,333,344,350,354,364,379,386,393,401,413,423,434,447,460,468,487,498,513,534,540,550,564,572,590,602,617,637,659,678,696,719,736,758,777,805,837,861,894,913,947,977,1019,1059,1090,1134,1188,1235,1286,1334,1389,1448,1497,1561,1636,1707,1777,1851,1930,1989,2044,2099,2164,2222,2276,2343,2403,2454,2540,2595,2643,2700,2767,2842,2910,2978,3045,3109,3160,3248,3338,3408,3450,3536,3611,3678,3753,3822,3911,4011,4079,4159,4242,4342,4440,4526,4620,4711,4798,4891,4982,5056,5154,5250,5351,5449,5558,5659,5757,5887,6015,6126,6261,6354,6496,6620,6747,6883,7040,7195,7336,7495,7651,7802,7943,8104,8250,8405,8556,8719,8874,9056,9216,9387,9553,9726,9887,10046,10224,10417,10601,10784,10970,11143,11307,11501,11701,11873,12045,12224,12401,12595,12799,12963,13138,13290,13457,13630,13793,13970,14129,14315,14461,14630,14821,15014,15209,15440,15650,15826,16037,16243,16434,16639,16862,17086,17310,17576,17803,18029,18258,18502,18767,19007,19281,19557,19818,20085,20345,20638,20873,21134,21421,21703,21979,22266,22527,22799,23052,23358,23639,23964,24233,24526,24806,25144,25446,25726,26053,26357,26655,27003,27337,27633,27956,28282,28617,28947,29252,29559,29878,30198,30531,30866,31190,31544,31860,32150,32460,32802,33104,33428,33760,34115,34461,34842,35228,35607,35971,36366,36744,37135,37559,37991,38380,38789,39245,39665,40113,40569,40976,41448,41948,42411,42901,43376,43874,44327,44824,45324,45852,46349,46872,47382,47943,48519,49091,49662,50233,50795,51362,51971,52589,53217,53841,54465,55121,55746,56426,57116,57785,58449,59192,59888,60597,61336,62073,62803,63580,64313,65098,65858,66653,67503,68358,69215,70078,70994,71889,72809,73760,74723,75631,76585,77501,78459,79503,80497,81513,82540,83619,84766,85862,87002,88174,89427,90612,91838,93102,94338,95611,96833,98088,99445,100832,102149,103524,104953,106392,107784,109205,110553,111923,113342,114752,116112,117553,118993,120481,122052,123546,125117,126646,128281,129858,131440,133071,134682,136315,137965,139602,141283,142943,144745,146536,148324,150220,152214,154111,156123,158047,160129,162177,164208,166229,168251,170322,172499,174606,176835,179089,181339,183549,185779,188046,190482,192868,195277,197700,200222,202807,205462,208103,210749,213343,216051,218756,221456,224295,227149,229989,232823,235804,238789,241774,244742,247737,250861,254053,257321,260521,263853,267078,270454,273818,277347,280844,284323,287964,291600,295221,299013,302836,306684,310628,314526,318570,322607,326794,330950,335125,339256,343496,347791,352048,356511,361106,365774,370404,375048,379847,384572,389519,394383,399486,404590,409718,414882,420219,425693,431064,436671
1,1,2,2,2,7,9,13,17,22,25,30,30,40,43,51,59,64,78,87,97,109,115,125,139,145,153,161,164,169,178,190,201,221,240,249,263,273,289,299,317,326,337,346,366,382,403,423,442,465,482,499,518,531,545,559,574,598,612,629,654,671,683,703,730,756,777,820,855,886,917,942,976,1004,1037,1083,1122,1180,1227,1262,1294,1340,1392,1435,1484,1537,1589,1648,1700,1770,1828,1903,1973,2043,2108,2178,2266,2345,2405,2482,2562,2635,2698,2776,2844,2922,2990,3059,3122,3188,3265,3349,3434,3536,3604,3683,3767,3835,3900,3981,4048,4126,4194,4258,4335,4410,4484,4568,4662,4753,4832,4932,5032,5126,5220,5344,5438,5521,5625,5723,5810,5932,6014,6118,6220,6324,6423,6520,6620,6736,6838,6929,7025,7121,7222,7313,7414,7498,7586,7674,7769,7865,7950,8041,8120,8207,8302,8387,8466,8558,8667,8772,8889,8997,9101,9207,9308,9432,9558,9667,9785,9922,10049,10186,10316,10458,10577,10691,10821,10954,11095,11232,11382,11510,11662,11798,11928,12124,12275,12439,12603,12775,12948,13115,13297,13477,13655,13826,14017,14229,14428,14625,14827,15058,15285,15531,15750,15958,16178,16417,16644,16872,17127,17381,17654,17953,18221,18487,18732,18989,19263,19539,19818,20105,20401,20698,20985,21291,21564,21886,22196,22490,22822,23121,23449,23780,24111,24445,24794,25108,25497,25875,26258,26665,27070,27442,27835,28263,28685,29119,29532,29928,30361,30793,31199,31668,32124,32553,33011,33475,33922,34360,34828,35290,35748,36193,36688,37171,37657,38151,38633,39125,39644,40120,40590,41106,41610,42152,42695,43249,43794,44384,44935,45524,46133,46711,47349,47927,48541,49182,49864,50517,51176,51889,52583,53304,54031,54736,55501,56249,56958,57681,58418,59152,59912,60698,61502,62348,63123,63913,64767,65593,66376,67207,68081,68931,69795,70610,71485,72388,73297,74242,75153,76037,76965,77917,78913,79922,80888,81851,82890,83993,85024,86069,87088,88149,89200,90314,91395,92474,93618,94737,95861,96984,98181,99348,100571,101748,102946,104159,105375,106615,107879,109159,110491,111746,113094,114476,115964,117358,118815,120297,121779,123275,124847,126420,128006,129598,131217,132827,134525,136149,137923,139660,141399,143268,145068,146951,148764,150683,152693,154617,156590,158732,160823,162897,165059,167217,169503,171792,174061,176338,178660,181027,183429,185862,188309,190810,193423,196063,198749,201422,204208,206950,209694,212620,215497,218467,221586,224714,227824,230993,234332,237646,241048,244413,247854,251478,255157,258846,262610,266389,270311,274268,278233,282339,286441,290692,294926,299269,303568,308018,312592,317175,321621,326278,330911,335453,340275,345100,350121,355106,360270,365238,370405,375695,381109,386433,392025,397567,403240,409041,414834,420572,426439,432612,438708,444918,451330,457694,464276,470793,477424,484353,491328,498299,505375,512362,519571,526824,534301,541798,549597,557465,565200,572860,580928,589278,597600,606116,614567,623286,631991,640810,649753,658850,668015
1,1,1,2,4,7,10,12,15,16,21,25,27,30,33,37,43,49,56,66,72,81,86,95,104,114,126,133,139,144,153,159,166,176,182,187,193,200,211,216,219,222,227,235,249,260,269,277,286,291,297,301,310,316,323,327,334,336,338,343,350,356,364,365,370,378,384,392,402,420,428,445,460,465,472,481,492,502,507,511,514,522,530,544,553,563,570,576,583,590,601,613,617,631,635,640,649,667,681,692,702,710,720,737,746,764,778,799,824,838,856,870,889,908,927,951,966,992,1014,1045,1068,1092,1117,1137,1155,1188,1212,1232,1256,1276,1310,1337,1354,1377,1404,1429,1460,1483,1510,1531,1555,1576,1600,1620,1646,1676,1699,1723,1739,1762,1780,1795,1817,1838,1865,1887,1909,1929,1950,1971,1989,2001,2025,2046,2073,2088,2112,2131,2155,2175,2199,2226,2247,2277,2317,2355,2391,2421,2453,2481,2503,2539,2566,2588,2617,2648,2686,2724,2761,2797,2834,2874,2917,2951,2984,3027,3048,3084,3123,3169,3211,3248,3284,3332,3380,3438,3488,3534,3581,3628,3682,3726,3784,3835,3893,3938,3999,4069,4119,4171,4225,4276,4326,4377,4435,4489,4552,4599,4645,4698,4766,4823,4881,4929,4973,5044,5097,5164,5218,5269,5319,5374,5417,5470,5526,5571,5623,5686,5746,5810,5868,5935,5994,6051,6122,6204,6261,6325,6395,6465,6537,6598,6698,6772,6838,6921,7004,7088,7171,7260,7349,7429,7517,7603,7683,7755,7834,7916,8005,8103,8199,8293,8383,8479,8570,8667,8769,8875,8987,9091,9201,9330,9434,9554,9701,9827,9975,10123,10265,10406,10560,10723,10876,11054,11215,11398,11574,11775,11971,12174,12392,12618,12826,13019,13239,13440,13631,13849,14068,14313,14543,14776,15019,15259,15493,15716,15946,16203,16467,16693,16948,17216,17500,17719,17999,18305,18604,18889,19221,19537,19819,20100,20436,20789,21096,21402,21725,22089,22412,22782,23139,23495,23835,24221,24614,24986,25326,25698,26079,26470,26851,27223,27620,27983,28400,28792,29213,29592,30001,30429,30837,31230,31661,32067,32496,32968,33445,33868,34343,34834,35305,35809,36252,36772,37265,37787,38370,38905,39452,40077,40633,41210,41829,42456,43063,43709,44318,44968,45620,46294,47000,47701,48397,49104,49825,50554,51231,51951,52706,53445,54205,54979,55731,56489,57348,58185,59030,59816,60638,61502,62365,63253,64115,65014,65899,66800,67730,68688,69679,70629,71618,72638,73634,74665,75762,76859,77925,78999,80069,81156,82295,83469,84657,85867,87047,88239,89463,90644,91892,93182,94527,95827,97151,98460,99807,101244,102640,104083,105512,107047,108386,109832,111277,112778,114324,115949,117497,119102,120740,122447,124150,125910,127669,129404,131192,132965,134899,136801,138714,140711,142619,144646,146735,148854,150958,153063,155228,157419,159672,161929,164217,166527,168911,171251,173519,175916,178431
1,1,1,1,1,1,1,2,4,5,6,7,11,16,19,24,24,31,35,39,47,49,56,65,73,80,86,92,102,115,119,124,131,139,146,157,166,174,183,193,202,212,221,231,241,250,259,268,279,285,294,305,317,323,334,343,362,374,383,400,410,421,435,454,471,486,501,524,541,564,584,604,632,650,673,693,716,730,745,765,793,822,840,869,888,922,959,985,1011,1038,1060,1082,1111,1143,1172,1201,1229,1257,1288,1319,1348,1375,1410,1448,1486,1518,1555,1586,1629,1665,1698,1727,1784,1821,1866,1915,1968,2018,2061,2104,2160,2212,2276,2344,2407,2462,2530,2592,2665,2735,2810,2889,2956,3017,3090,3157,3227,3312,3396,3467,3549,3644,3737,3812,3890,3975,4059,4165,4264,4374,4470,4570,4654,4740,4855,4956,5058,5181,5293,5388,5491,5616,5771,5897,6045,6186,6336,6486,6617,6775,6932,7080,7235,7405,7620,7814,7995,8172,8348,8569,8815,9054,9284,9512,9760,10001,10272,10515,10771,11020,11276,11510,11750,12024,12329,12584,12875,13188,13505,13790,14072,14371,14674,15000,15311,15607,15895,16196,16529,16875,17256,17599,17928,18283,18626,18965,19287,19650,19993,20359,20712,21031,21421,21786,22164,22546,22936,23340,23730,24113,24546,24992,25427,25858,26342,26816,27316,27842,28326,28820,29326,29843,30303,30806,31336,31914,32447,33001,33564,34139,34717,35330,35976,36626,37199,37844,38506,39173,39848,40534,41258,41969,42727,43455,44195,44926,45703,46534,47354,48157,48964,49811,50614,51497,52299,53197,54045,54898,55875,56855,57804,58741,59693,60715,61740,62762,63770,64801,65822,66973,68067,69112,70172,71279,72406,73553,74690,75848,76992,78150,79324,80515,81735,82999,84278,85508,86816,88057,89338,90709,92085,93471,94919,96357,97800,99247,100742,102315,103855,105382,106965,108635,110381,112117,113904,115660,117545,119402,121218,123083,125007,126930,128833,130845,132829,134831,136905,138882,141057,143247,145507,147667,149914,152243,154633,156989,159383,161839,164357,166846,169410,172011,174661,177343,180242,183045,185897,188782,191628,194534,197443,200438,203407,206598,209753,212916,216083,219336,222616,225960,229253,232555,235985,239370,242883,246331,249897,253325,256898,260527,264211,267869,271562,275424,279291,283127,286979,290899,294859,298965,303000,307050,311285,315540,319988,324383,328826,333291,337757,342424,347061,351845,356871,361700,366778,371833,377101,382293,387502,393026,398510,403954,409594,415476,421216,427201,433239,439525,445798,452309,458941,465513,472171,478941,485742,492714,499593,506811,513882,521203,528568,536184,543828,551606,559310,567139,575155,582943,591108,599448,607781,616217,624853,633465,642183,651163,660227,669438,678963,688614,698170,708046,717863,727944,738049,748362,758691,769324,779852,790757,801770,812829,824209,835674,847342,858956,870910,882899,895015,907298,919840,932325,945029,958140,970868,984292,997778,1011066,1024765,1038387,1052155,1066122,1080293,1094627,1109030,1123712,1138461,1153573,1168541,1183695,1198944,1214343,1230139,1246099,1261988,1278209,1294682
1,1,3,6,8,8,8,10,12,14,19,19,22,24,28,31,35,41,50,53,61,68,73,82,90,100,110,118,129,138,140,148,157,171,179,186,198,205,220,225,232,237,241,243,256,264,270,275,282,293,300,310,321,333,338,344,351,355,365,374,384,390,403,413,423,438,448,462,473,484,494,512,528,546,571,586,608,629,648,670,691,716,735,760,788,806,834,854,880,903,923,941,966,991,1014,1037,1067,1092,1126,1143,1175,1209,1245,1275,1333,1373,1401,1447,1492,1537,1573,1617,1668,1714,1754,1797,1840,1887,1946,1988,2041,2113,2190,2242,2303,2357,2432,2479,2531,2596,2647,2707,2775,2823,2886,2939,3008,3069,3130,3193,3245,3302,3369,3415,3471,3522,3569,3621,3685,3732,3791,3846,3909,3953,4008,4069,4127,4175,4228,4289,4353,4417,4482,4550,4620,4698,4778,4858,4938,5022,5118,5200,5285,5366,5445,5508,5603,5674,5748,5856,5944,6027,6105,6216,6311,6395,6490,6584,6689,6788,6885,6993,7116,7228,7339,7455,7585,7716,7851,7982,8111,8254,8397,8537,8668,8794,8921,9027,9155,9304,9453,9594,9724,9857,9992,10119,10270,10392,10541,10678,10826,10981,11137,11319,11491,11661,11822,11994,12136,12310,12498,12685,12875,13054,13216,13409,13599,13835,14062,14265,14516,14755,14988,15233,15510,15739,16001,16239,16500,16719,16958,17232,17524,17851,18112,18413,18719,18982,19263,19533,19842,20147,20487,20813,21148,21455,21780,22065,22396,22685,23018,23351,23671,24003,24321,24643,25003,25307,25621,25939,26286,26632,26989,27331,27682,28020,28350,28685,29083,29489,29887,30275,30675,31086,31516,31929,32351,32747,33202,33629,34029,34445,34879,35320,35753,36187,36650,37114,37583,38055,38533,39008,39516,39986,40505,41040,41582,42131,42667,43299,43855,44452,45042,45640,46274,46906,47595,48220,48893,49566,50212,50907,51592,52320,53057,53780,54500,55240,55938,56756,57538,58342,59140,59923,60761,61544,62305,63156,64013,64854,65729,66614,67478,68319,69192,70085,70965,71790,72725,73671,74646,75644,76659,77617,78642,79646,80668,81729,82868,84006,85103,86273,87356,88455,89559,90781,91989,93221,94509,95754,96993,98218,99520,100867,102229,103605,105004,106405,107817,109305,110762,112213,113723,115169,116673,118271,119841,121381,122931,124521,126125,127743,129364,131046,132805,134588,136374,138185,139985,141850,143756,145668,147620,149588,151576,153670,155639,157739,159866,162096,164221,166532,168765,171090,173364,175686,178103,180485,182904,185351,187952,190510,193091,195748,198404,201166,203803,206555,209394,212311,215175,218068,220933,223815,226852,229872,232944,235986,239272,242374,245533,248651,251827,255121,258459,261924,265360,268986,272565,276320,280089,284035,287848,291787,295679,299773,303979,308111,312368,316593,320992,325380,329888,334460,339025,343603,348345,353108,358021,363031,367984,373072,378157,383322,388596,394007,399394,404950,410549,416066,421777,427684,433530,439334,445533,451673,457814
1,1,1,1,1,1,1,2,3,5,8,11,12,13,14,17,21,26,29,35,37,38,40,49,54,62,69,77,85,96,100,109,119,130,140,149,160,169,181,188,198,205,211,223,236,248,257,272,283,295,312,321,334,349,361,373,383,393,400,413,419,435,448,466,477,485,498,508,516,532,538,544,550,562,570,578,586,597,600,606,612,621,625,627,633,641,648,651,655,660,667,674,683,686,694,700,710,724,745,758,770,784,796,827,852,870,893,911,936,965,996,1028,1061,1091,1113,1153,1196,1236,1275,1316,1356,1403,1454,1496,1534,1585,1630,1689,1737,1790,1851,1923,1988,2050,2123,2178,2253,2323,2383,2456,2526,2596,2662,2738,2824,2907,2985,3062,3159,3235,3322,3413,3490,3583,3691,3788,3896,3991,4092,4186,4290,4389,4491,4616,4734,4843,4954,5087,5229,5342,5464,5594,5706,5832,5946,6091,6221,6351,6485,6616,6759,6913,7059,7226,7392,7543,7715,7864,8029,8185,8354,8499,8668,8808,8957,9110,9265,9466,9635,9798,9967,10135,10336,10511,10730,10892,11073,11262,11453,11654,11867,12108,12352,12545,12754,12948,13159,13365,13594,13856,14100,14343,14594,14852,15115,15362,15636,15905,16190,16488,16804,17117,17435,17733,18058,18382,18737,19067,19453,19837,20241,20663,21057,21461,21884,22308,22754,23176,23592,24068,24537,25001,25471,25945,26445,26957,27471,27979,28456,28978,29494,30003,30519,31041,31557,32059,32589,33122,33602,34129,34673,35216,35750,36301,36874,37474,38054,38637,39208,39758,40306,40947,41558,42181,42808,43443,44060,44662,45321,45978,46610,47260,47942,48631,49305,50065,50762,51487,52247,52956,53688,54462,55230,56025,56877,57670,58494,59329,60165,61029,61855,62780,63659,64616,65598,66519,67505,68570,69533,70570,71644,72766,73852,74905,75978,77096,78230,79486,80706,81926,83198,84442,85666,86971,88299,89652,90963,92390,93750,95123,96576,98009,99519,101053,102621,104172,105678,107285,108874,110526,112158,113875,115627,117380,119178,120997,122808,124642,126494,128401,130333,132387,134481,136657,138831,140968,143153,145326,147662,150001,152373,154797,157295,159801,162284,164798,167436,170173,172894,175649,178421,181325,184218,187134,190153,193163,196255,199441,202729,206126,209370,212714,216078,219517,223069,226589,230194,233798,237590,241473,245305,249235,253153,257122,261146,265192,269287,273486,277797,282008,286280,290614,295106,299554,303949,308512,313115,317564,322263,326938,331668,336449,341409,346206,351169,356255,361342,366664,371841,377139,382403,387837,393353,398944,404708,410393,416195,422031,427900,433945,440075,446200,452443,458736,465217,471810,478461,485142,492003,498991,506035,513038,520200,527449,534585,541926,549406,557011,564692,572414,580355,588179,596224,604429,612742,621175,629487,638100,646781,655461,664331,673492,682762,692002,701452,710893,720596,730553,740510,750484,760515,770855,781261,791961,802727,813434,824265,835387,846562,857805,869168,880740,892187,904139,916018,928177,940177
1,1,4,5,8,11,14,16,19,20,23,28,31,34,39,43,48,60,63,68,79,84,92,101,113,127,137,150,162,176,182,197,200,209,222,236,252,268,279,299,317,335,352,367,384,394,409,424,451,475,492,512,532,549,566,579,599,622,645,669,690,712,730,757,775,796,821,845,870,890,920,947,963,988,1011,1035,1060,1084,1111,1131,1153,1177,1206,1231,1250,1272,1293,1311,1325,1348,1365,1386,1404,1417,1432,1449,1469,1489,1505,1524,1538,1553,1571,1596,1617,1630,1651,1662,1681,1699,1720,1740,1774,1790,1821,1849,1886,1912,1933,1965,1997,2029,2069,2104,2150,2184,2236,2305,2362,2403,2451,2503,2555,2600,2656,2705,2742,2786,2828,2884,2943,3003,3063,3128,3196,3245,3301,3371,3443,3501,3563,3630,3707,3783,3848,3936,4024,4119,4206,4283,4355,4476,4567,4664,4793,4891,5008,5126,5229,5331,5466,5595,5724,5841,5968,6106,6236,6392,6525,6667,6804,6971,7133,7291,7446,7597,7760,7925,8100,8271,8454,8630,8816,8999,9207,9390,9572,9755,9945,10133,10342,10539,10734,10909,11079,11251,11485,11676,11878,12081,12293,12502,12674,12881,13071,13272,13461,13698,13932,14136,14372,14596,14817,15051,15268,15486,15740,15935,16134,16383,16602,16850,17081,17282,17527,17752,17974,18226,18476,18718,18958,19219,19520,19791,20080,20343,20611,20886,21183,21474,21763,22066,22379,22671,22984,23267,23611,23908,24225,24548,24865,25192,25530,25858,26192,26537,26926,27282,27645,28003,28399,28749,29125,29474,29866,30238,30601,30998,31395,31835,32243,32675,33138,33557,33927,34335,34739,35191,35586,36000,36408,36856,37299,37730,38183,38622,39088,39554,40042,40548,41100,41602,42138,42656,43190,43763,44315,44943,45560,46190,46790,47425,48066,48689,49369,50027,50717,51441,52131,52817,53518,54233,54989,55747,56464,57241,57966,58730,59513,60304,61108,61905,62669,63508,64310,65132,66007,66878,67771,68705,69608,70535,71432,72332,73221,74105,75069,76009,76955,77967,78920,79929,80923,81924,82952,83991,84983,86055,87149,88232,89339,90439,91615,92704,93816,95036,96246,97434,98626,99928,101189,102440,103717,105079,106376,107753,109129,110472,111859,113244,114644,116099,117582,119067,120573,122148,123741,125344,126945,128615,130269,131880,133651,135383,137171,138984,140706,142582,144450,146332,148185,150001,151989,153917,155921,157964,160037,162158,164249,166391,168555,170776,172914,175145,177368,179663,182089,184508,187025,189444,191995,194675,197319,200089,202827,205596,208351,211260,214256,217278,220375,223524,226697,230014,233267,236723,240176,243561,247150,250775,254440,258108,261870,265785,269657,273598,277639,281668,285875,290046,294323,298527,302917,307226,311610,316079,320436,324970,329512,334052,338765,343528,348325,353277,358267,363108,368082,373166,378331,383544,388727,393934,399239,404684,410090,415605,421112,426872,432792,438652,444669,450860,457029,463310,469679,476058,482468,489044,495644,502445,509290,516252,523231,530451,537946,545181,552562
1,1,1,1,4,4,7,9,13,16,17,19,19,21,26,28,32,40,43,54,60,67,76,83,95,100,105,112,116,122,125,131,140,147,150,159,164,169,174,179,183,189,195,199,204,211,218,224,231,237,246,252,256,258,262,266,270,275,284,290,293,295,299,300,303,313,318,323,328,335,342,348,354,356,366,373,380,388,402,411,420,424,440,454,471,490,509,527,552,569,601,626,667,698,736,769,801,839,870,887,914,955,996,1047,1088,1129,1176,1231,1268,1330,1387,1434,1469,1512,1565,1617,1667,1714,1765,1806,1853,1908,1968,2017,2072,2141,2199,2261,2317,2377,2436,2494,2552,2618,2674,2757,2815,2889,2949,3000,3075,3135,3194,3266,3334,3411,3475,3549,3615,3689,3752,3833,3898,3988,4064,4132,4218,4317,4402,4485,4571,4653,4738,4824,4883,4954,5028,5128,5229,5315,5401,5502,5592,5698,5803,5899,6000,6088,6196,6284,6383,6468,6575,6682,6788,6903,6988,7113,7226,7326,7437,7546,7643,7744,7836,7941,8040,8131,8233,8335,8434,8540,8653,8779,8903,9011,9115,9247,9377,9489,9622,9739,9847,9968,10106,10227,10356,10488,10610,10753,10876,11008,11121,11238,11367,11487,11601,11750,11886,12031,12159,12308,12471,12600,12745,12881,13001,13143,13313,13454,13618,13775,13934,14082,14244,14408,14571,14742,14920,15071,15252,15426,15629,15834,16041,16261,16476,16709,16937,17146,17361,17583,17791,18005,18241,18463,18701,18925,19203,19441,19685,19931,20180,20437,20726,21009,21269,21523,21782,22070,22320,22577,22890,23167,23444,23721,24036,24320,24630,24945,25267,25578,25879,26214,26544,26841,27192,27562,27954,28336,28715,29084,29480,29905,30283,30744,31193,31635,32059,32516,32979,33459,33935,34362,34852,35314,35805,36293,36812,37319,37813,38348,38922,39470,40031,40577,41121,41674,42241,42796,43403,43929,44502,45126,45749,46400,47004,47631,48250,48877,49520,50172,50819,51475,52121,52768,53428,54091,54766,55444,56157,56870,57589,58257,58993,59690,60401,61122,61894,62684,63472,64245,65024,65825,66631,67451,68351,69220,70105,70983,71872,72762,73623,74542,75508,76531,77542,78538,79549,80574,81594,82728,83873,84986,86104,87225,88382,89599,90800,92016,93268,94547,95853,97205,98479,99814,101196,102669,104156,105548,107021,108519,109956,111456,113039,114550,116117,117731,119364,121021,122665,124294,125991,127685,129316,130980,132679,134343,136083,137789,139642,141461,143324,145173,147054,148915,150867,152768,154726,156707,158801,160902,162944,164999,167094,169327,171514,173777,176034,178392,180766,183076,185410,187638,190161,192667,195242,197810,200372,202945,205519,208174,210924,213621,216403,219221,222105,225008,227881,230741,233798,236769,239823,242821,245952,249136,252393,255683,259060,262325,265576,269079,272517,276063,279601,283285,286899,290647,294383,298049,301972,305880,309825,313827,317946,322089,326360,330576,334858,339135,343426,347822,352346,356836,361341,365996,370641
1,1,1,1,1,2,3,4,4,5,6,11,13,16,22,24,25,30,32,34,37,41,45,49,53,63,66,75,79,89,100,109,115,123,130,145,156,164,173,182,195,206,218,233,249,271,284,297,316,334,346,362,379,396,406,421,433,452,468,488,498,510,529,536,546,553,559,577,584,601,616,632,646,663,675,691,709,717,734,747,768,782,798,817,843,864,888,915,941,978,1008,1037,1069,1094,1118,1136,1166,1195,1235,1274,1311,1350,1390,1431,1469,1495,1527,1554,1580,1614,1644,1675,1708,1735,1786,1825,1869,1906,1947,1997,2042,2092,2140,2167,2207,2238,2288,2342,2392,2444,2498,2550,2603,2659,2715,2780,2846,2902,2955,3023,3085,3145,3202,3266,3307,3375,3435,3507,3569,3632,3697,3758,3846,3924,3997,4075,4131,4216,4298,4374,4479,4572,4678,4781,4886,4980,5096,5192,5309,5446,5584,5730,5892,6033,6176,6308,6447,6617,6770,6928,7101,7271,7440,7616,7793,7998,8182,8341,8543,8713,8901,9097,9280,9459,9668,9833,10005,10196,10410,10608,10817,11004,11220,11416,11630,11833,12057,12258,12505,12719,12961,13176,13401,13619,13882,14171,14408,14659,14930,15195,15462,15723,15990,16286,16539,16822,17099,17369,17622,17907,18205,18522,18796,19085,19358,19642,19910,20178,20452,20712,20970,21240,21532,21818,22096,22407,22711,22981,23255,23557,23850,24146,24444,24766,25111,25422,25768,26089,26446,26816,27193,27533,27889,28276,28680,29033,29396,29754,30121,30519,30901,31318,31794,32238,32723,33185,33689,34165,34690,35206,35746,36291,36834,37385,37954,38541,39164,39763,40420,40998,41597,42214,42837,43565,44291,44969,45678,46359,47094,47837,48629,49435,50195,50974,51760,52586,53411,54276,55168,56029,56900,57790,58697,59695,60661,61688,62721,63707,64766,65903,67023,68132,69289,70444,71602,72837,74051,75294,76560,77864,79193,80535,81827,83122,84613,86037,87494,88932,90451,92015,93549,95120,96643,98289,99952,101667,103434,105205,106995,108766,110543,112484,114387,116270,118222,120102,122035,124009,126010,128056,130097,132142,134326,136459,138596,140776,142976,145248,147511,149904,152254,154665,157155,159650,162183,164729,167260,169970,172640,175348,178064,180938,183700,186637,189533,192525,195385,198354,201388,204480,207568,210693,213855,217092,220393,223746,227138,230605,234071,237599,241180,244761,248464,252106,255816,259629,263414,267205,271051,274995,279084,283118,287269,291495,295791,300155,304532,308830,313276,317772,322395,327019,331717,336373,341116,345928,350823,355676,360796,365778,371053,376214,381372,386640,391966,397431,402969,408465,414093,419953,425837,431750,437631,443554,449740,456196,462694,469113,475740,482379,489231,495953,502818,509739,516988,524150,531485,538874,546410,554042,561797,569623,577579,585507,593586,601892,610145,618654,627211,635878,644718,653729,662727,671796,681100,690455,699984,709415,719167,728981,739041,749184,759321,769440,779773,790163,800781,811641,822462,833315,844489,855670,867148,878689,890385,902143,914117
1,1,1,3,5,5,7,8,10,16,18,19,19,23,29,34,39,43,47,50,55,58,62,68,80,91,101,112,126,131,146,154,162,169,172,181,188,196,211,222,232,242,249,260,266,275,281,289,299,306,318,329,342,354,361,370,381,397,413,424,438,457,485,502,522,545,576,598,615,645,666,685,723,746,779,811,842,877,927,964,1001,1040,1089,1135,1179,1234,1281,1325,1382,1421,1467,1521,1578,1628,1686,1740,1796,1858,1913,1963,2022,2082,2160,2253,2331,2401,2479,2569,2628,2685,2759,2821,2884,2955,3038,3117,3189,3259,3334,3421,3508,3581,3648,3721,3791,3863,3931,4003,4104,4190,4274,4355,4431,4543,4634,4733,4830,4916,5018,5131,5243,5370,5500,5601,5710,5804,5946,6087,6203,6321,6464,6618,6739,6864,6991,7139,7283,7440,7574,7746,7897,8056,8209,8375,8554,8734,8899,9102,9287,9480,9672,9881,10084,10286,10545,10781,11019,11266,11538,11755,11999,12302,12578,12860,13113,13388,13659,13953,14259,14573,14874,15194,15545,15901,16250,16635,17007,17387,17766,18139,18537,18941,19363,19807,20242,20708,21177,21666,22162,22673,23210,23732,24269,24845,25422,25997,26560,27129,27743,28383,29033,29701,30403,31036,31721,32432,33112,33752,34437,35125,35857,36602,37351,38084,38831,39593,40348,41117,41873,42621,43428,44195,44992,45789,46601,47415,48240,49051,49946,50793,51628,52591,53564,54452,55376,56307,57292,58243,59245,60286,61289,62336,63373,64425,65510,66566,67658,68739,69869,71072,72235,73398,74561,75763,76963,78107,79351,80587,81879,83134,84355,85606,86863,88141,89469,90789,92191,93511,94925,96320,97793,99265,100682,102193,103761,105227,106721,108292,109895,111508,113165,114855,116487,118250,120009,121825,123563,125372,127254,129083,131028,132962,134868,136857,138844,140914,142999,145034,147154,149266,151418,153687,156030,158439,160811,163182,165583,168078,170567,172965,175537,178047,180534,183240,185948,188851,191681,194541,197459,200438,203440,206567,209523,212661,215900,219251,222518,225868,229129,232457,235896,239422,242932,246509,250120,253774,257427,261111,264772,268526,272436,276406,280366,284411,288457,292565,296634,300835,305067,309260,313620,318009,322348,326729,331274,335998,340669,345418,350095,354930,359557,364400,369325,374334,379500,384643,389712,394967,400351,405651,411077,416554,422135,427810,433712,439449,445452,451406,457467,463672,469929,476241,482596,489150,495686,502365,509200,516250,523217,530305,537633,544825,552253,559679,567355,575055,582862,590882,598952,607031,615164,623586,632082,640645,649186,657949,666974,675997,685209,694514,703818,713089,722390,731707,741087,750529,760180,770213,780195,790250,800441,810873,821325,831919,842744,853642,864513,875701,887023,898729,910362,922254,934208,946008,958581,970851,983497,996397,1009448,1022645,1035781,1049403,1062869,1076833,1090508,1104672,1119048,1133516,1147952,1162830,1177788,1192993,1208209,1223455,1239076,1254864,1270660,1286879,1303120,1319556,1336166,1353133,1370177,1387447,1405040,1422722,1440863,1458885,1477218,1495865,1514506,1533517,1552863,1572426,1592017,1611993,1632050
1,1,1,1,1,1,1,2,2,3,5,8,9,9,10,11,12,14,16,16,22,23,26,26,29,30,34,36,41,44,48,54,58,60,62,67,80,84,93,96,106,114,123,128,135,141,145,154,162,168,172,178,182,187,195,200,207,217,221,228,244,248,254,259,263,274,280,288,296,301,307,318,327,331,340,351,357,361,372,379,387,395,401,414,428,439,447,454,467,477,485,495,509,513,523,534,543,549,565,575,588,593,596,602,608,621,632,646,655,665,676,694,703,712,719,727,740,755,771,783,788,797,812,827,843,865,894,913,931,939,954,969,987,1003,1024,1049,1064,1081,1109,1125,1140,1158,1178,1194,1216,1237,1257,1285,1301,1315,1343,1367,1390,1406,1422,1435,1445,1459,1473,1488,1505,1531,1558,1583,1605,1619,1645,1666,1690,1717,1742,1774,1804,1831,1862,1893,1929,1954,1988,2007,2026,2064,2094,2130,2159,2189,2213,2251,2287,2312,2342,2368,2401,2434,2476,2505,2545,2584,2629,2673,2725,2764,2822,2865,2914,2949,2986,3027,3072,3116,3173,3217,3263,3292,3335,3389,3441,3481,3520,3573,3617,3658,3705,3755,3796,3834,3872,3922,3973,4019,4065,4105,4147,4222,4296,4345,4391,4455,4520,4588,4659,4733,4807,4874,4942,5010,5089,5179,5248,5334,5421,5512,5604,5694,5782,5873,5950,6034,6119,6216,6308,6404,6495,6570,6663,6773,6868,6968,7094,7189,7302,7406,7517,7603,7712,7820,7936,8052,8156,8274,8400,8512,8634,8774,8896,9017,9147,9267,9386,9486,9629,9755,9880,10012,10119,10258,10402,10529,10642,10777,10882,10992,11136,11251,11394,11502,11656,11786,11933,12060,12201,12336,12476,12602,12756,12907,13089,13234,13412,13577,13769,13952,14113,14287,14472,14666,14863,15041,15247,15428,15652,15860,16054,16280,16501,16727,16969,17210,17455,17692,17940,18206,18459,18747,19030,19320,19603,19863,20132,20456,20731,21005,21318,21586,21877,22173,22443,22736,23044,23351,23655,23981,24308,24633,24953,25308,25669,26030,26405,26773,27167,27510,27885,28279,28661,29049,29492,29865,30273,30721,31129,31574,32022,32472,32917,33342,33806,34296,34790,35269,35693,36161,36649,37124,37581,38086,38578,39115,39617,40176,40711,41218,41782,42329,42844,43406,44000,44591,45162,45759,46322,46955,47585,48231,48884,49568,50238,50953,51698,52426,53184,53931,54708,55455,56282,57062,57897,58721,59522,60361,61197,62079,62936,63792,64681,65578,66460,67374,68312,69195,70133,71082,72084,73081,74094,75084,76079,77208,78262,79367,80472,81610,82729,83891,85061,86257,87454,88648,89857,91069,92391,93686,94971,96305,97702,99067,100523,101962,103388,104936,106490,107984,109524,111032,112629,114233,115813,117473,119183,120871,122610,124457,126306,128168,130018,131957,133844,135775,137814,139886,141907,143953,145990,148040,150094,152239,154349
1,1,1,1,1,1,1,1,1,2,4,6,8,11,12,13,13,15,15,18,21,22,25,29,33,42,45,50,57,63,72,79,85,96,105,112,121,130,136,148,158,164,173,178,186,194,201,207,211,219,227,239,243,250,265,275,279,286,294,304,313,320,332,349,360,369,377,385,397,406,418,430,445,455,463,472,483,497,501,504,516,524,533,548,556,564,575,584,591,601,612,628,639,652,669,674,682,694,711,735,761,778,801,826,854,881,903,936,963,981,1005,1030,1056,1079,1107,1138,1160,1194,1220,1248,1275,1321,1356,1393,1438,1482,1525,1566,1602,1652,1697,1748,1801,1851,1895,1949,2000,2052,2108,2146,2201,2257,2296,2365,2424,2467,2511,2565,2610,2668,2730,2777,2833,2901,2959,3022,3094,3169,3239,3314,3385,3463,3555,3628,3716,3820,3925,4012,4106,4188,4306,4400,4485,4619,4726,4847,4971,5103,5220,5341,5495,5640,5779,5945,6090,6240,6392,6547,6691,6859,7015,7166,7341,7511,7677,7836,7992,8175,8351,8511,8686,8886,9073,9259,9464,9702,9896,10089,10288,10507,10729,10940,11172,11396,11631,11847,12090,12334,12587,12846,13105,13355,13608,13893,14131,14424,14693,14934,15226,15519,15798,16103,16406,16673,16942,17238,17517,17847,18160,18463,18771,19058,19380,19668,19981,20258,20573,20879,21173,21510,21840,22143,22487,22827,23168,23516,23860,24154,24523,24871,25228,25583,25951,26305,26674,27031,27431,27830,28178,28571,28952,29342,29670,30068,30474,30860,31238,31641,31993,32337,32708,33084,33447,33811,34227,34634,35054,35456,35871,36281,36678,37070,37453,37870,38285,38682,39127,39568,40027,40535,41027,41534,42061,42573,43095,43621,44154,44655,45186,45755,46353,46922,47528,48132,48737,49372,50013,50629,51266,51956,52682,53346,54073,54777,55529,56281,57072,57880,58678,59530,60360,61247,62138,62983,63872,64744,65655,66550,67522,68499,69545,70498,71522,72534,73579,74658,75720,76772,77905,78965,80060,81184,82334,83542,84765,85989,87263,88526,89762,91065,92342,93733,95078,96482,97867,99294,100814,102354,103826,105304,106857,108467,110103,111776,113414,115054,116771,118475,120204,122009,123853,125730,127668,129542,131430,133413,135426,137435,139508,141611,143729,145928,148121,150282,152421,154648,157009,159377,161741,164178,166518,168914,171238,173694,176198,178649,181177,183806,186536,189197,191807,194541,197350,200171,202932,205758,208686,211787,214733,217795,220846,223935,227085,230332,233641,236965,240434,243877,247436,251013,254653,258369,262050,265866,269695,273656,277651,281614,285586,289677,293811,298039,302287,306537,310897,315165,319559,324010,328538,333129,337682,342207,346878,351594,356423,361366,366086,371044,376054,381144,386278,391510,396959,402270,407640,413107,418627,424280,430004,435857,441778,447799,453793,459994,466201,472633,479141,485712,492338,499080,505807,512718,519895,527145,534287,541524,548895,556278,563769,571333,578933,586791,594751,602903,611260,619302,627497
1,1,1,2,3,3,6,6,10,11,13,15,17,20,24,33,40,46,53,63,76,89,95,110,122,134,145,157,167,183,192,209,219,226,236,255,276,290,311,330,354,376,393,408,434,451,471,503,525,559,581,613,649,682,719,748,793,823,853,878,900,925,952,988,1025,1057,1082,1115,1135,1163,1193,1226,1251,1271,1298,1315,1337,1366,1399,1427,1457,1486,1513,1531,1559,1593,1617,1651,1692,1725,1759,1814,1864,1905,1955,2009,2082,2145,2201,2268,2327,2397,2484,2560,2625,2698,2782,2857,2935,3022,3105,3202,3271,3340,3428,3510,3588,3680,3778,3881,3979,4064,4174,4292,4389,4482,4566,4665,4809,4927,5033,5158,5285,5423,5539,5679,5825,5989,6124,6272,6445,6602,6764,6930,7091,7230,7381,7550,7735,7938,8109,8296,8493,8694,8894,9099,9325,9526,9737,9968,10199,10415,10655,10905,11162,11402,11626,11883,12099,12354,12614,12871,13125,13392,13639,13894,14163,14444,14697,14959,15217,15514,15810,16120,16415,16710,17035,17361,17690,18018,18314,18646,19004,19399,19721,20092,20483,20863,21236,21588,21953,22324,22725,23132,23553,23976,24448,24846,25270,25697,26132,26595,26999,27446,27922,28396,28910,29413,29891,30430,30959,31463,31987,32537,33089,33666,34224,34813,35432,36058,36718,37380,37978,38614,39291,39925,40550,41256,41949,42668,43354,44063,44802,45526,46289,47022,47777,48548,49333,50142,50981,51773,52538,53452,54289,55086,55960,56822,57669,58523,59414,60359,61255,62189,63171,64161,65183,66251,67304,68368,69419,70553,71736,72858,74008,75253,76475,77719,78959,80207,81499,82780,84114,85443,86796,88138,89518,90879,92383,93907,95435,97077,98676,100269,101896,103563,105308,107014,108748,110500,112269,114090,115961,117765,119651,121641,123535,125457,127504,129529,131507,133588,135649,137734,139826,142021,144176,146346,148573,150778,153062,155316,157651,159993,162266,164625,167028,169425,171942,174431,176943,179464,182026,184589,187273,189893,192600,195341,198129,200999,203869,206630,209514,212545,215558,218551,221640,224732,227911,231109,234370,237737,241159,244562,248028,251572,255103,258734,262419,266055,269744,273533,277387,281299,285142,289076,293120,297010,301151,305288,309528,313734,318020,322342,326831,331337,335844,340424,345081,349711,354395,359202,364125,369095,374069,379123,384209,389456,394787,400256,405526,410856,416332,421880,427363,432972,438722,444623,450472,456451,462418,468409,474536,480636,486923,493245,499518,505978,512447,519016,525646,532412,539259,546253,553314,560409,567440,574792,582212,589748,597318,604782,612669,620732,628663,636770,644880,653027,661325,669628,678058,686693,695432,704171,713160,722188,731315,740392,749624,759261,768868,778584,788455,798399,808465,818822,829291,839792,850317,861057,871656,882589,893944,905198,916635,928123,939760,951811,963853,975762,988040,1000395,1013042,1025866,1038788,1051919,1065172,1078537,1091915,1105455,1119208,1133194,1147342,1161537,1175885,1190502,1205168,1220371,1235408,1250715,1266156,1281880,1297585,1313428,1329667,1345693,1362049,1378507,1395045,1411838,1428694,1445794,1462846,1480189,1497721,1515326,1533037
1,1,1,1,1,1,1,3,5,6,8,8,10,11,15,21,25,30,39,44,51,54,65,73,85,90,102,109,119,136,141,146,154,164,173,186,189,202,207,213,222,232,244,249,253,257,260,268,271,273,277,278,282,287,291,294,297,301,306,310,314,319,323,325,327,330,334,336,338,344,350,355,359,365,370,380,387,398,405,410,422,441,458,474,487,502,516,527,544,560,579,602,627,649,671,700,723,744,775,804,833,869,887,914,953,981,1010,1038,1070,1110,1143,1181,1210,1248,1286,1326,1355,1392,1424,1459,1493,1526,1564,1598,1637,1685,1725,1776,1818,1869,1927,1970,2020,2077,2120,2161,2212,2263,2329,2390,2454,2515,2563,2624,2681,2748,2812,2871,2938,3003,3060,3117,3196,3283,3362,3435,3524,3606,3698,3772,3842,3925,4020,4110,4214,4318,4392,4500,4608,4702,4807,4907,5002,5107,5204,5295,5404,5511,5594,5690,5788,5887,5992,6113,6200,6309,6406,6494,6593,6698,6793,6896,7009,7130,7246,7357,7482,7606,7728,7856,7976,8120,8239,8364,8498,8626,8750,8874,9017,9163,9274,9409,9564,9723,9869,10026,10195,10362,10513,10663,10834,11001,11158,11344,11556,11756,11910,12123,12334,12522,12701,12881,13092,13314,13527,13759,13996,14236,14489,14731,14998,15219,15501,15777,16031,16309,16621,16914,17213,17545,17842,18164,18474,18767,19110,19427,19745,20081,20437,20765,21108,21482,21823,22190,22537,22851,23178,23540,23912,24277,24647,25049,25451,25885,26279,26678,27095,27524,27934,28360,28779,29213,29717,30191,30706,31242,31764,32326,32889,33440,34023,34595,35225,35814,36420,37034,37625,38243,38879,39536,40187,40847,41551,42255,42923,43631,44330,45012,45740,46501,47179,47921,48694,49411,50190,50925,51661,52448,53279,54072,54917,55741,56602,57482,58342,59202,60114,61065,61952,62893,63870,64783,65798,66763,67751,68751,69777,70838,71891,72995,74099,75126,76229,77404,78543,79712,80945,82165,83432,84694,85905,87164,88449,89734,90973,92297,93692,94997,96379,97767,99146,100581,102037,103520,104925,106481,107938,109508,111003,112638,114197,115723,117385,119024,120669,122331,124008,125643,127394,129169,130915,132729,134611,136494,138403,140319,142308,144368,146294,148377,150442,152553,154638,156852,159035,161309,163594,165897,168197,170518,172947,175495,178162,180771,183370,186092,188929,191725,194569,197438,200345,203344,206432,209519,212592,215734,218836,222053,225441,228765,232171,235594,239167,242689,246243,249865,253509,257253,260901,264759,268577,272537,276362,280378,284453,288488,292688,296927,301260,305584,309998,314449,318988,323693,328370,333030,337723,342478,347311,352334,357381,362430,367477,372668,377936,383443,388881,394450,400106,405833,411572,417530,423518,429619,435776,442168,448602,455042,461676,468246,475096,482020,489166,496327,503665,510844,518330,525800,533261,541001,548785,556694,564709,572769,580911,589313,597559,605848,614210,622905,631598,640490,649341,658302,667358,676552,685813
1,1,1,1,4,6,6,9,10,12,14,15,16,18,18,23,27,32,36,43,46,53,56,64,74,79,86,96,104,116,122,137,141,162,172,184,196,208,213,221,232,247,256,265,271,282,288,297,309,318,321,333,353,377,406,424,446,474,493,514,546,573,614,646,675,707,736,790,830,874,921,973,1019,1056,1113,1159,1205,1255,1303,1352,1413,1454,1510,1551,1592,1638,1682,1736,1780,1827,1871,1923,1970,2034,2098,2155,2216,2293,2359,2427,2496,2572,2655,2734,2811,2893,2975,3076,3169,3263,3361,3466,3576,3679,3786,3886,4010,4104,4207,4332,4441,4549,4690,4790,4890,5000,5100,5206,5314,5400,5496,5598,5708,5834,5964,6090,6202,6315,6442,6563,6707,6840,6953,7092,7224,7357,7489,7634,7770,7918,8082,8216,8366,8509,8657,8815,9009,9171,9344,9529,9700,9864,10053,10239,10422,10636,10843,11044,11259,11479,11710,11927,12134,12334,12556,12794,13061,13316,13602,13881,14160,14419,14697,14969,15258,15511,15819,16116,16445,16712,16980,17290,17616,17948,18294,18622,18958,19316,19678,20053,20422,20797,21197,21553,21927,22336,22727,23106,23493,23911,24346,24798,25271,25689,26163,26624,27110,27577,28090,28577,29055,29517,30062,30569,31050,31588,32143,32622,33160,33707,34206,34705,35230,35789,36315,36905,37445,37993,38542,39134,39713,40296,40901,41527,42123,42810,43468,44100,44772,45458,46133,46792,47449,48169,48874,49560,50257,50967,51715,52442,53157,53912,54690,55448,56217,56997,57750,58509,59283,60055,60873,61707,62593,63467,64366,65265,66179,67084,67979,68862,69828,70814,71727,72717,73788,74788,75843,76893,77995,79038,80160,81361,82544,83678,84793,85993,87150,88417,89644,90880,92207,93505,94785,96053,97381,98694,100143,101531,102966,104449,105873,107350,108809,110281,111764,113252,114822,116432,118026,119617,121199,122886,124621,126386,128168,129909,131682,133521,135374,137286,139184,141089,143011,145018,146896,148873,150831,152810,154709,156766,158837,160921,163059,165253,167454,169672,171862,174089,176323,178645,180965,183283,185669,187978,190377,192891,195331,197779,200307,202893,205575,208187,210872,213524,216253,218966,221670,224447,227250,230026,232905,235733,238627,241456,244372,247492,250491,253578,256703,259920,263079,266320,269599,273032,276496,279909,283480,287044,290535,294032,297622,301310,305099,308869,312701,316668,320590,324590,328520,332640,336788,340890,345089,349363,353819,358171,362659,367107,371566,376182,380880,385513,390254,395078,399965,404918,409998,415251,420424,425504,430929,436377,441888,447321,452814,458516,464219,469850,475854,481815,487839,493925,500175,506329,512665,519084,525482,531963,538522,545137,551902,558707,565590,572662,579800,586936,594362,601805,609292,617032,624666,632495,640484,648618,656888,665065,673479,681967,690571,699347,708229,717403,726553,735946,745299,754702,764361,774032,783779,793748,803825,814140,824423,834893,845543,856227,867060,877977,889048,900325,911633,923011,934678,946437,958220,970121,982316,994676,1007292,1020015,1032932,1045899,1058881,1072185,1085738,1099057,1112718
1,1,1,1,1,1,1,4,5,6,6,7,9,11,12,13,14,15,16,19,20,24,29,32,36,37,43,45,55,62,69,81,95,105,111,121,129,141,150,164,179,191,205,223,237,246,268,286,301,317,332,355,371,388,404,424,449,459,488,516,540,557,573,595,622,654,681,707,725,753,791,820,852,877,899,919,956,995,1021,1044,1079,1114,1152,1184,1205,1239,1267,1304,1335,1368,1406,1438,1474,1508,1539,1566,1598,1636,1676,1708,1745,1784,1842,1893,1937,1987,2030,2076,2129,2174,2232,2275,2332,2378,2422,2475,2531,2609,2661,2721,2792,2852,2908,2979,3044,3124,3188,3271,3341,3412,3471,3552,3634,3706,3792,3871,3939,4036,4120,4197,4273,4351,4436,4517,4640,4742,4834,4923,5029,5145,5251,5353,5471,5575,5665,5776,5882,5999,6144,6280,6415,6546,6665,6801,6946,7076,7202,7342,7478,7612,7765,7920,8095,8242,8399,8551,8706,8857,9010,9186,9344,9516,9680,9848,9995,10146,10313,10500,10671,10834,10995,11149,11335,11516,11685,11874,12080,12258,12434,12619,12798,13013,13210,13405,13601,13799,14033,14266,14494,14716,14949,15186,15430,15662,15907,16151,16418,16675,16939,17197,17490,17769,18040,18326,18623,18906,19216,19510,19791,20116,20436,20754,21044,21320,21661,21962,22283,22588,22894,23224,23529,23880,24236,24593,24921,25276,25649,26024,26385,26744,27128,27506,27872,28234,28607,28988,29386,29729,30138,30505,30911,31316,31722,32163,32615,33087,33543,34004,34483,34981,35521,36042,36555,37064,37623,38193,38749,39335,39865,40485,41081,41677,42286,42882,43514,44176,44830,45527,46194,46857,47583,48318,49065,49826,50541,51283,52039,52851,53608,54409,55169,56037,56829,57603,58407,59263,60143,60961,61879,62800,63679,64647,65575,66512,67457,68372,69339,70345,71286,72196,73222,74220,75233,76274,77291,78333,79348,80436,81546,82607,83700,84789,86006,87140,88276,89459,90678,91866,93063,94347,95509,96806,98116,99387,100804,102130,103501,104858,106218,107562,108951,110455,111894,113377,114892,116469,118055,119628,121293,122930,124659,126424,128148,129842,131634,133401,135179,137011,138822,140690,142684,144631,146556,148573,150583,152549,154603,156671,158725,160818,162981,165212,167380,169575,171716,173933,176246,178524,180801,183226,185551,187929,190323,192767,195243,197727,200238,202771,205350,207979,210616,213336,216028,218824,221658,224458,227408,230282,233337,236454,239610,242737,245846,249041,252257,255495,258893,262322,265785,269220,272721,276250,279893,283603,287311,290985,294793,298646,302519,306474,310456,314386,318455,322522,326646,330927,335110,339335,343716,348185,352744,357304,361891,366522,371417,376329,381431,386484,391636,396799,402122,407616,413093,418574,424132,429659,435420,441302,447186,453237,459369,465573,471807,478227,484593,490999,497568,504150,510838,517631,524442,531267,538028,544999,551958,559166,566474,573857,581318,588702,596268,603941,611625,619610,627577,635641,643833,652071,660490,668918,677294,685967,694717,703792,712982,722274,731588
1,1,1,3,6,8,10,11,13,18,21,25,29,31,34,37,40,41,50,53,60,70,72,76,79,90,102,114,125,136,143,154,161,169,177,179,192,201,217,230,242,251,260,269,286,302,310,323,337,355,372,382,394,404,424,442,454,475,494,504,517,530,551,566,584,603,628,649,666,688,717,740,770,799,826,862,890,915,945,968,987,1018,1059,1090,1127,1170,1199,1228,1269,1312,1347,1396,1430,1461,1503,1548,1597,1633,1664,1710,1733,1776,1809,1850,1886,1935,1971,2001,2038,2088,2122,2166,2200,2232,2262,2295,2323,2355,2382,2416,2454,2481,2518,2549,2567,2596,2624,2661,2690,2725,2764,2789,2820,2842,2882,2924,2963,2995,3021,3063,3097,3119,3154,3180,3217,3251,3277,3316,3351,3379,3416,3456,3493,3517,3549,3587,3621,3658,3692,3731,3776,3804,3838,3874,3902,3935,3970,3999,4035,4072,4097,4131,4175,4211,4244,4274,4303,4336,4366,4392,4428,4469,4497,4536,4572,4607,4657,4711,4763,4810,4842,4893,4952,5010,5062,5122,5179,5248,5306,5373,5439,5492,5551,5608,5675,5734,5782,5856,5928,5985,6046,6118,6193,6278,6348,6417,6502,6571,6645,6721,6799,6876,6951,7029,7099,7178,7253,7357,7423,7509,7599,7673,7749,7821,7902,7985,8071,8153,8237,8327,8421,8526,8598,8699,8797,8888,8996,9104,9227,9362,9472,9606,9732,9885,10024,10159,10303,10445,10595,10745,10913,11102,11267,11438,11593,11759,11934,12103,12265,12440,12605,12764,12954,13133,13284,13461,13596,13766,13918,14101,14249,14396,14545,14725,14895,15052,15218,15373,15531,15687,15839,16018,16206,16371,16543,16714,16920,17117,17301,17489,17681,17892,18110,18310,18510,18721,18907,19146,19387,19602,19834,20050,20239,20488,20703,20923,21173,21420,21646,21911,22145,22398,22639,22903,23145,23406,23692,23964,24214,24497,24798,25099,25406,25728,26042,26377,26746,27098,27428,27767,28118,28436,28812,29179,29556,29953,30306,30706,31050,31437,31831,32251,32655,33073,33487,33898,34361,34789,35264,35764,36244,36748,37248,37739,38266,38790,39337,39907,40450,41060,41638,42226,42882,43539,44166,44862,45546,46220,46875,47577,48348,49152,49881,50672,51422,52234,53016,53835,54666,55483,56349,57238,58122,59056,60048,60926,61886,62953,63991,65031,66034,67039,68175,69283,70517,71652,72846,74009,75192,76402,77676,78967,80208,81513,82812,84143,85584,87059,88450,89865,91346,92857,94275,95833,97398,98953,100691,102273,104044,105783,107540,109360,111212,113028,114892,116814,118781,120694,122648,124721,126746,128888,130970,133093,135241,137490,139706,141919,144160,146493,148754,151129,153514,155927,158389,160810,163345,165805,168402,170987,173619,176298,178996,181699,184550,187402,190214,193086,195955,199025,202038,205205,208314,211469,214637,217846,221263,224623,228039,231604,235229,238803,242480,246162,249871,253597,257484,261401,265387,269414,273346,277452,281579,285848,290116,294361,298751
1,1,1,5,7,8,9,10,10,13,14,17,22,26,27,30,35,37,44,49,55,62,67,70,79,84,94,104,117,128,144,160,184,206,226,247,271,289,320,350,389,422,451,490,524,573,624,668,719,762,818,858,904,971,1036,1099,1155,1219,1282,1355,1416,1474,1541,1609,1664,1732,1799,1851,1927,2004,2087,2168,2244,2318,2405,2481,2565,2667,2770,2880,2979,3093,3205,3303,3392,3485,3621,3739,3877,4008,4157,4306,4448,4600,4756,4917,5073,5236,5400,5565,5744,5905,6073,6257,6434,6610,6794,7003,7190,7374,7573,7745,7972,8175,8381,8602,8805,9060,9261,9487,9700,9894,10112,10323,10577,10819,11084,11332,11557,11797,12023,12257,12517,12798,13082,13341,13604,13855,14129,14423,14727,15067,15376,15720,16005,16333,16641,16929,17267,17607,17969,18290,18658,19006,19373,19749,20157,20519,20937,21316,21724,22154,22583,23029,23452,23880,24320,24842,25321,25770,26274,26788,27302,27805,28335,28850,29369,29957,30520,31078,31677,32265,32856,33473,34085,34728,35325,35978,36611,37236,37827,38429,39082,39804,40488,41164,41856,42541,43240,43955,44685,45396,46093,46841,47627,48416,49189,50009,50777,51576,52425,53243,54131,55044,55975,56886,57755,58663,59596,60572,61642,62670,63665,64671,65687,66687,67758,68756,69778,70888,71993,73115,74288,75417,76559,77750,78926,80152,81421,82686,84011,85272,86653,87976,89395,90738,92164,93670,95088,96478,97940,99410,100880,102429,103927,105482,107077,108752,110387,112054,113718,115396,117048,118735,120377,122050,123781,125606,127420,129174,130996,132847,134803,136783,138740,140757,142775,144773,146918,149041,151126,153249,155387,157584,159821,161999,164280,166505,168926,171204,173532,175955,178450,180942,183505,186049,188603,191176,193770,196415,199204,202010,204778,207606,210497,213257,216132,219005,221948,224905,227855,231016,234125,237283,240394,243526,246686,249905,253254,256371,259660,262997,266350,269685,273075,276579,280082,283635,287251,290851,294491,298311,302063,305850,309804,313734,317817,321930,326290,330493,334758,339217,343689,348369,353188,357804,362575,367606,372719,377818,382966,388228,393454,398900,404670,410255,416079,421742,427630,433458,439529,445629,451733,458143,464546,471131,477887,484657,491439,498173,505104,512082,519055,526250,533485,540832,548328,556012,563715,571507,579421,587422,595504,603738,611913,620394,628931,637526,646252,655233,664293,673392,682601,692096,701588,711342,721070,730738,740627,750761,761007,771150,781519,792006,802702,813482,824442,835442,846695,858059,869567,881040,892547,904195,916167,928216,940730,953109,965906,978622,991628,1004728,1017931,1031334,1045081,1058855,1073117,1087528,1102217,1116818,1131630,1146495,1161583,1176864,1192223,1207964,1223740,1239670,1255777,1272267,1288952,1305954,1322901,1339881,1357181,1374925,1392661,1410467,1428724,1447138,1465490,1484473,1503390,1522634,1542135,1561647,1581470,1601316,1621388,1641628,1662194,1683076,1704193,1725076,1746494,1767946,1789860,1811682,1833866,1856188,1878828,1901705,1924659,1947596,1971329,1994943,2018875,2043376,2067893,2092650,2117359,2142294,2167529,2192984,2218839,2244800,2271225,2297617,2324297,2351354,2378503,2405653,2433299,2461315,2489306,2517518,2546289
1,1,1,1,1,1,1,2,3,3,3,4,6,7,10,12,17,20,23,33,41,49,55,60,69,71,82,91,95,109,119,126,146,159,171,188,201,219,242,260,281,303,328,363,379,407,427,447,475,512,558,597,631,671,716,755,793,827,869,920,966,1013,1063,1111,1170,1221,1277,1339,1392,1451,1510,1582,1647,1706,1779,1841,1898,1976,2051,2124,2192,2268,2327,2395,2467,2528,2597,2675,2743,2808,2879,2945,3011,3092,3152,3211,3272,3341,3400,3458,3525,3584,3639,3701,3769,3822,3890,3958,4021,4093,4163,4217,4291,4367,4434,4520,4589,4678,4750,4823,4903,4987,5076,5145,5226,5305,5393,5485,5578,5671,5765,5877,5981,6072,6172,6272,6395,6518,6628,6728,6831,6946,7061,7178,7298,7400,7512,7633,7752,7874,7963,8097,8241,8388,8528,8660,8797,8944,9106,9244,9404,9564,9718,9879,10048,10230,10413,10602,10817,10985,11196,11406,11611,11842,12046,12247,12468,12714,12942,13197,13468,13721,13985,14263,14520,14779,15080,15339,15629,15916,16196,16533,16860,17204,17562,17860,18183,18496,18839,19151,19467,19820,20154,20559,20896,21249,21637,22011,22413,22808,23206,23609,24013,24432,24849,25288,25694,26118,26568,27021,27425,27930,28359,28836,29288,29741,30281,30775,31229,31705,32199,32722,33272,33784,34254,34752,35244,35760,36321,36883,37398,37963,38516,39039,39593,40169,40733,41310,41884,42466,43085,43665,44266,44887,45569,46208,46847,47516,48196,48907,49553,50252,51020,51692,52415,53128,53871,54667,55408,56232,57100,57916,58792,59615,60419,61235,62054,62917,63816,64763,65671,66571,67520,68364,69314,70301,71305,72382,73374,74422,75451,76535,77620,78787,79920,81070,82313,83512,84726,85908,87145,88405,89687,90999,92294,93689,95019,96384,97837,99276,100680,102077,103573,105027,106510,107998,109551,111143,112730,114420,116073,117707,119451,121182,122966,124733,126474,128306,130078,131860,133720,135596,137417,139310,141236,143205,145264,147311,149335,151410,153425,155647,157797,160022,162184,164516,166734,169074,171414,173822,176233,178827,181332,183850,186447,189151,191801,194583,197361,200119,202892,205829,208866,211777,214830,217967,221098,224196,227376,230700,233975,237268,240559,243899,247227,250723,254286,257656,261209,264788,268447,272183,275827,279594,283437,287321,291293,295340,299351,303376,307522,311713,315950,320346,324781,329327,333829,338329,342930,347601,352435,357203,362017,367065,372044,377077,382129,387179,392300,397616,402840,408189,413636,419006,424785,430333,435958,441776,447538,453354,459371,465314,471439,477610,483632,489881,496220,502823,509426,516116,522863,529646,536591,543599,550612,557801,565146,572517,579996,587512,595090,602912,610790,618763,626726,634913,642999,651455,659924,668428,676956,685777,694520,703567,712707,722189,731479,740881,750505,760121,769846,779670,789659,799711,810094,820477,830818,841290,851893,862642,873233,884089,895102,906357,917611,929028,940667,952191,964017,976071,987970,1000209,1012764,1025401,1038193,1051019,1064127,1077299,1090597,1103885,1117423,1131379,1145350,1159138,1173153,1187723,1202296
1,1,1,1,2,2,4,4,8,8,9,9,11,13,18,20,22,23,27,37,39,40,46,47,53,57,61,65,72,77,82,90,97,101,117,119,128,137,141,151,160,169,177,189,198,207,214,220,231,238,247,257,267,279,287,293,298,311,332,345,368,383,399,416,438,465,487,503,526,552,579,598,627,653,686,723,751,796,827,864,896,933,973,1018,1060,1097,1135,1179,1221,1268,1310,1358,1396,1429,1477,1532,1576,1620,1661,1710,1754,1800,1855,1917,1966,2002,2057,2099,2160,2214,2264,2320,2389,2448,2522,2578,2639,2704,2768,2824,2889,2956,3025,3087,3159,3233,3313,3381,3461,3540,3618,3694,3761,3837,3924,4006,4090,4159,4229,4323,4396,4470,4567,4664,4764,4856,4951,5054,5160,5272,5382,5505,5631,5753,5893,6022,6147,6302,6462,6628,6787,6956,7135,7304,7465,7639,7823,7993,8168,8351,8517,8704,8885,9096,9314,9516,9683,9876,10099,10319,10540,10791,11033,11252,11467,11700,11956,12217,12450,12705,12936,13182,13408,13667,13925,14198,14477,14776,15048,15312,15580,15882,16164,16473,16756,17056,17330,17607,17939,18251,18589,18921,19290,19656,20044,20396,20759,21163,21578,22002,22455,22892,23335,23807,24298,24777,25258,25727,26234,26764,27307,27847,28353,28885,29436,29961,30449,30992,31516,32110,32757,33348,33938,34552,35168,35784,36434,37102,37718,38400,39053,39702,40368,41021,41684,42368,43070,43820,44491,45223,45953,46667,47346,48102,48855,49612,50377,51191,51970,52797,53584,54441,55263,56162,57058,57875,58778,59662,60559,61505,62406,63382,64329,65316,66380,67493,68540,69684,70744,71893,73041,74166,75322,76530,77730,79009,80273,81494,82782,84075,85394,86748,88117,89451,90756,92191,93544,94950,96382,97834,99288,100814,102274,103763,105270,106755,108288,109795,111309,112920,114570,116215,117918,119589,121342,123077,124750,126576,128406,130249,132094,133967,135874,137793,139756,141772,143795,145800,147926,149963,152137,154301,156520,158719,161021,163381,165764,168222,170738,173214,175684,178300,180925,183525,186234,188940,191710,194461,197370,200324,203251,206162,209187,212258,215405,218566,221748,224958,228276,231619,235045,238445,241842,245304,248800,252283,255873,259571,263236,266843,270446,274122,277857,281740,285701,289681,293580,297474,301273,305337,309574,313767,318021,322315,326534,330877,335245,339635,344178,348689,353169,357939,362688,367518,372402,377293,382287,387388,392531,397731,402798,408057,413336,418675,424087,429629,435256,440725,446480,452244,458102,463926,469829,475686,481858,487993,494038,500261,506490,512798,519192,525645,532057,538517,545166,551836,558625,565564,572610,579466,586447,593556,600871,608106,615510,622931,630479,638355,646166,653915,661889,670106,678361,686798,695231,703728,712503,721247,730158,739237,748369,757631,767103,776570,786385,796055,805880,816023,826259,836538,846834,857351,868125,878838,889644,900685,911680,922925,934283,945825,957249,968725,980475,992341,1004336,1016490,1028649,1041051,1053587,1066270,1079106,1091947,1105029,1118130,1131433,1144942,1158580
1,1,1,3,6,6,8,8,15,19,20,22,30,33,41,48,55,60,63,73,78,89,96,107,121,125,135,144,155,165,174,183,195,204,217,224,231,241,251,261,270,274,284,290,293,299,306,312,326,334,345,356,370,376,388,399,412,427,437,455,467,477,490,507,520,539,567,585,619,642,669,692,721,747,781,821,849,878,911,950,993,1033,1074,1121,1166,1213,1258,1302,1351,1399,1456,1503,1566,1625,1708,1757,1820,1873,1946,2006,2078,2149,2206,2275,2338,2401,2473,2541,2600,2672,2743,2809,2880,2952,3032,3093,3160,3227,3299,3367,3426,3478,3558,3628,3689,3765,3838,3908,3979,4055,4124,4188,4254,4339,4424,4511,4618,4719,4808,4904,5001,5086,5191,5302,5437,5547,5662,5771,5873,5991,6096,6225,6347,6461,6568,6671,6784,6927,7034,7163,7293,7435,7560,7717,7850,7961,8092,8235,8381,8527,8705,8839,9003,9166,9313,9486,9624,9809,9963,10133,10302,10469,10625,10793,10952,11123,11301,11500,11677,11869,12054,12254,12434,12639,12843,13047,13253,13432,13627,13817,14028,14217,14413,14614,14814,15009,15197,15406,15608,15803,15990,16177,16358,16527,16744,16934,17132,17351,17586,17811,18044,18268,18461,18704,18932,19159,19393,19614,19872,20140,20401,20666,20919,21187,21491,21780,22076,22381,22703,22998,23287,23614,23924,24205,24508,24859,25166,25481,25805,26119,26443,26774,27093,27444,27755,28066,28417,28750,29096,29444,29791,30108,30446,30795,31136,31453,31814,32169,32535,32904,33261,33665,34045,34441,34839,35233,35666,36102,36541,36942,37391,37847,38269,38775,39266,39732,40195,40679,41172,41682,42179,42728,43260,43814,44380,44968,45536,46108,46716,47341,47990,48586,49184,49814,50451,51131,51850,52520,53194,53885,54604,55324,56029,56806,57548,58303,59109,59887,60662,61477,62266,63087,63915,64743,65569,66437,67335,68275,69152,70037,70955,71850,72742,73668,74613,75561,76552,77574,78587,79615,80696,81745,82884,83986,85129,86291,87457,88687,89879,91056,92285,93532,94807,96187,97488,98837,100191,101573,102996,104395,105794,107281,108754,110223,111713,113212,114743,116228,117771,119365,121014,122618,124230,125844,127462,129081,130734,132379,134108,135733,137477,139153,140838,142546,144308,146018,147862,149668,151547,153338,155256,157090,159033,160918,162764,164685,166733,168704,170691,172726,174736,176834,179009,181039,183142,185435,187646,189850,192046,194279,196598,198923,201286,203574,205860,208350,210753,213290,215814,218345,220934,223565,226157,228745,231422,234089,236862,239673,242464,245210,248084,250984,253826,256734,259713,262818,265838,268988,272281,275642,278793,282129,285465,288908,292322,295644,299138,302725,306365,310117,313917,317753,321513,325418,329216,333095,337059,341210,345336,349379,353531,357686,361972,366270,370710,375122,379563,384301,388930,393698,398424,403175,408074,412969,418125,423256,428403,433658,438976,444259,449673,455196,460808,466466,472183,478007,484019,490141,496082,502149,508454,514825,521139,527630,534218,540897,547627
1,1,1,2,4,5,5,7,8,9,10,12,13,16,16,16,16,16,16,18,19,21,22,24,28,28,28,28,30,35,38,44,48,53,56,61,66,76,87,99,109,120,135,147,162,171,180,191,205,214,221,236,248,262,274,288,304,326,340,361,378,399,420,440,466,490,517,548,585,624,663,706,732,779,815,863,913,956,1003,1058,1114,1176,1233,1291,1342,1397,1446,1484,1544,1602,1656,1705,1758,1821,1867,1928,1997,2057,2110,2163,2239,2320,2410,2480,2550,2612,2675,2733,2829,2910,2999,3101,3177,3264,3356,3456,3570,3667,3755,3879,3990,4101,4210,4304,4435,4572,4681,4806,4919,5045,5181,5308,5448,5598,5734,5864,6007,6140,6291,6410,6529,6676,6826,6989,7144,7291,7437,7559,7717,7862,8020,8178,8331,8488,8662,8826,8989,9158,9320,9492,9644,9856,10041,10229,10434,10635,10861,11057,11258,11514,11762,11987,12215,12438,12671,12928,13207,13434,13706,13973,14223,14489,14745,15005,15308,15600,15862,16152,16412,16690,16990,17268,17552,17822,18129,18423,18741,19070,19370,19667,19990,20267,20635,20940,21268,21599,21904,22247,22593,22911,23265,23603,23903,24233,24579,24946,25306,25648,26035,26385,26749,27156,27501,27879,28283,28699,29104,29500,29950,30384,30793,31230,31662,32130,32576,33039,33485,33931,34411,34914,35434,35995,36508,37064,37624,38180,38716,39286,39853,40423,41050,41691,42325,42937,43534,44144,44748,45349,45991,46668,47263,47965,48586,49275,49958,50610,51285,51966,52629,53307,54032,54810,55548,56341,57146,57919,58704,59549,60401,61295,62172,63083,64000,64960,65907,66865,67839,68802,69801,70856,71938,72962,73968,75118,76160,77269,78384,79479,80653,81863,83068,84259,85518,86709,87968,89163,90478,91705,93052,94355,95718,97109,98486,99830,101269,102728,104196,105671,107178,108761,110328,111889,113487,115106,116764,118424,120136,121909,123686,125472,127226,129046,131019,132926,134906,136847,138872,140854,142937,145013,147134,149310,151423,153538,155704,157943,160273,162532,164841,167180,169596,171945,174341,176772,179285,181850,184394,186961,189639,192350,195100,197862,200779,203659,206490,209376,212283,215288,218308,221354,224476,227584,230938,234093,237442,240774,244058,247412,250775,254268,257714,261233,264876,268480,272126,275881,279745,283566,287510,291544,295543,299577,303652,307842,312074,316357,320692,325112,329490,333940,338534,343029,347793,352583,357514,362537,367440,372689,377913,383120,388394,393734,399160,404710,410380,416253,422124,428037,433987,439969,446136,452381,458845,465253,471908,478585,485305,492205,499002,506188,513230,520379,527660,535005,542430,549843,557311,565140,573010,580834,588680,596635,604774,613083,621547,629964,638542,647246,655955,664673,673480,682600,691762,700949,710252,719724,729306,738931,748824,758812,768918,779130,789307,799650,810125,820701,831295,842296,853376,864415,875634,887096,898647,910214,921882,933540,945711,957749,970092,982661,995307,1007899,1020790,1033746,1046829,1060207,1073630,1087329,1101075,1114813,1128704,1142954,1157235,1171724,1186437,1201169,1216165
1,1,1,1,1,1,1,2,5,6,8,10,11,11,13,15,18,22,24,26,29,35,39,44,48,59,69,81,85,96,107,118,123,128,138,148,153,165,178,184,196,208,219,229,238,250,265,271,274,285,297,308,318,334,341,351,363,372,387,407,427,445,458,479,496,518,542,565,594,616,645,672,698,724,753,784,822,861,883,919,941,981,1017,1053,1088,1123,1169,1206,1247,1273,1304,1343,1378,1423,1461,1497,1529,1565,1613,1667,1713,1748,1785,1825,1868,1902,1950,1990,2033,2080,2117,2172,2224,2274,2340,2402,2458,2525,2596,2676,2732,2807,2883,2945,3006,3070,3141,3219,3291,3346,3442,3537,3603,3689,3769,3840,3920,3994,4088,4190,4279,4370,4469,4555,4661,4757,4879,4981,5100,5224,5345,5452,5583,5711,5843,5984,6110,6253,6405,6540,6684,6837,6986,7142,7319,7489,7641,7804,8002,8183,8354,8547,8686,8866,9053,9207,9380,9543,9724,9885,10070,10239,10420,10603,10779,10956,11146,11366,11576,11753,11953,12147,12356,12556,12762,12989,13194,13416,13643,13914,14153,14404,14639,14908,15173,15466,15772,16052,16367,16625,16905,17201,17480,17744,18059,18358,18677,18978,19313,19638,19962,20299,20669,21020,21357,21736,22119,22541,22971,23391,23780,24182,24590,24988,25440,25893,26328,26777,27215,27622,28113,28573,29067,29503,29941,30362,30851,31323,31800,32276,32796,33326,33843,34366,34890,35412,35924,36435,36936,37442,37927,38457,38988,39568,40122,40670,41226,41782,42361,42966,43551,44143,44712,45342,45964,46606,47244,47905,48600,49285,49932,50600,51286,51971,52675,53400,54070,54819,55564,56326,57100,57836,58617,59434,60222,61049,61854,62730,63585,64506,65410,66346,67316,68288,69225,70235,71229,72342,73333,74435,75515,76616,77764,78870,80005,81194,82306,83535,84733,85901,87123,88393,89570,90820,92121,93382,94594,95901,97247,98648,99989,101363,102773,104200,105620,106987,108463,109938,111463,112993,114582,116085,117763,119495,121193,122865,124572,126342,128041,129815,131629,133444,135323,137135,139021,140936,142887,144798,146775,148836,150926,152980,155045,157214,159372,161598,163858,166070,168358,170578,172878,175293,177720,180221,182617,185059,187550,190072,192685,195304,197975,200637,203428,206094,208909,211728,214625,217595,220491,223472,226382,229445,232533,235595,238793,242031,245271,248645,251971,255411,258832,262305,265813,269290,272936,276552,280264,284074,287911,291752,295660,299569,303529,307460,311505,315621,319959,324205,328487,333026,337468,341966,346693,351279,356170,360976,365800,370729,375798,380791,385922,391128,396505,401746,407142,412570,418166,423787,429350,435050,440931,446861,452865,458812,464946,471146,477472,483716,490198,496509,503149,509666,516389,523199,530127,537166,544222,551325,558505,565775,573247,580724,588296,595996,603797,611711,619634,627720,635836,644074,652535,661012,669596,678277,687157,696061,705111,714408,723704,733130,742580,752329,762132,772011,782027,792230,802370,812922,823373,833975,844788,855870,866888,878055,889311,900755,912202
1,1,1,1,1,1,1,4,5,8,8,11,11,12,12,12,12,12,13,15,19,21,23,26,34,37,43,50,60,67,72,78,84,89,96,109,116,124,127,140,151,157,164,167,173,184,196,200,206,212,223,233,243,255,260,274,280,291,303,310,320,332,350,365,373,388,401,420,438,446,463,481,489,501,514,531,546,561,581,595,612,633,661,697,720,746,771,801,828,855,882,927,973,1011,1055,1090,1131,1166,1207,1262,1313,1365,1421,1473,1549,1618,1683,1760,1838,1902,1957,2048,2136,2206,2287,2356,2422,2483,2557,2634,2700,2760,2830,2897,2957,3009,3074,3161,3225,3285,3343,3409,3470,3556,3612,3685,3763,3842,3923,4004,4082,4165,4254,4346,4438,4533,4636,4747,4863,4951,5060,5179,5277,5399,5525,5658,5786,5905,6032,6156,6273,6402,6532,6650,6798,6934,7086,7234,7388,7547,7695,7865,8019,8170,8367,8542,8726,8893,9081,9264,9476,9678,9876,10067,10260,10456,10660,10894,11072,11261,11471,11672,11877,12093,12305,12523,12750,12973,13178,13427,13671,13921,14135,14360,14603,14854,15105,15357,15570,15817,16086,16335,16582,16842,17074,17326,17565,17832,18086,18361,18650,18933,19239,19529,19806,20107,20414,20717,21030,21389,21688,22049,22394,22739,23056,23416,23730,24106,24446,24823,25230,25627,25993,26414,26810,27244,27642,28054,28486,28951,29441,29898,30360,30823,31303,31804,32285,32771,33280,33776,34292,34804,35326,35864,36363,36921,37440,37976,38537,39086,39657,40233,40797,41377,41967,42540,43127,43755,44367,44981,45633,46295,46964,47682,48412,49120,49839,50548,51296,52064,52821,53633,54457,55245,55998,56869,57706,58501,59349,60225,61081,62027,62922,63908,64872,65865,66807,67839,68878,69933,70908,71953,72993,74050,75108,76151,77240,78374,79493,80606,81721,82842,83991,85114,86360,87551,88760,89939,91148,92449,93721,95020,96290,97624,98866,100202,101537,102914,104244,105636,107020,108416,109803,111237,112794,114301,115854,117363,118967,120508,122061,123606,125202,126833,128532,130235,131934,133670,135404,137169,138916,140792,142614,144534,146379,148388,150389,152337,154265,156314,158311,160384,162513,164681,166792,168952,171154,173403,175688,177994,180295,182688,185013,187471,189946,192458,194994,197602,200335,203057,205897,208609,211366,214296,217132,220126,223090,226006,228971,231960,235006,238056,241143,244333,247456,250660,253982,257391,260846,264251,267690,271107,274656,278256,281917,285766,289587,293426,297175,301066,305004,309161,313221,317282,321331,325484,329617,333950,338270,342591,347141,351596,356249,360928,365619,370352,375168,380013,384966,390112,395144,400380,405573,411098,416509,422122,427721,433412,439074,444924,450879,457010,463127,469415,475811,482215,488703,495306,502068,508846,515681,522757,529878,536967,544118,551553,559052,566583,574275,582147,590097,598083,606236,614481,622784,631275,639806,648392,657250,666105,674937,684050,693197,702584,712221,721814,731759,741902,751885,762088,772280,782695,793309,804070,814736,825507,836524
1,1,2,5,8,9,11,13,14,17,20,25,29,30,37,40,42,49,54,62,64,66,71,78,84,89,99,104,112,118,126,141,157,166,175,185,191,197,205,209,218,227,236,247,258,267,272,278,285,292,304,313,326,337,354,364,376,387,394,405,415,434,441,455,475,489,511,521,530,543,566,588,598,617,639,664,685,712,727,748,766,801,832,851,882,906,936,957,988,1013,1044,1062,1086,1112,1134,1162,1188,1218,1255,1288,1320,1359,1384,1421,1452,1494,1521,1580,1633,1690,1741,1785,1839,1900,1939,1994,2059,2112,2179,2255,2323,2386,2446,2520,2614,2686,2763,2845,2934,3020,3115,3206,3313,3432,3564,3680,3807,3925,4054,4179,4297,4425,4536,4649,4765,4870,5003,5144,5288,5423,5558,5691,5823,5961,6108,6238,6354,6520,6662,6842,7000,7160,7333,7491,7642,7830,7982,8151,8315,8488,8645,8799,8962,9128,9329,9512,9686,9862,10050,10214,10382,10523,10691,10863,11042,11217,11385,11565,11739,11930,12101,12263,12434,12604,12768,12978,13183,13380,13580,13787,14004,14246,14483,14725,14940,15190,15409,15633,15894,16124,16372,16638,16905,17181,17455,17727,18010,18295,18584,18905,19222,19555,19928,20273,20577,20916,21269,21586,21921,22283,22613,22978,23377,23743,24140,24496,24898,25266,25646,26034,26428,26847,27258,27675,28068,28449,28915,29366,29829,30256,30707,31168,31613,32011,32479,32919,33409,33905,34331,34780,35253,35709,36174,36681,37178,37697,38222,38742,39257,39789,40367,40931,41487,42094,42680,43280,43908,44508,45141,45746,46398,47046,47766,48448,49159,49874,50593,51311,52039,52789,53509,54246,54984,55794,56578,57424,58254,59109,59941,60779,61699,62582,63448,64349,65327,66250,67200,68183,69125,70082,71099,72081,73070,74089,75146,76253,77369,78467,79603,80786,81881,83024,84168,85335,86502,87760,89054,90310,91608,92909,94255,95664,97041,98473,99906,101376,102891,104428,105954,107547,109166,110827,112575,114291,116036,117812,119649,121424,123266,125073,127060,129082,130970,132887,134862,136950,139048,141172,143415,145563,147871,150047,152296,154548,156820,159160,161559,163963,166338,168906,171554,174096,176624,179310,182027,184838,187669,190467,193324,196342,199282,202337,205372,208477,211660,214912,218247,221492,224882,228350,231822,235365,239007,242580,246247,249880,253614,257386,261276,265127,269132,273043,276910,280989,285062,289282,293517,297748,302125,306521,311025,315678,320295,324981,329776,334669,339477,344458,349549,354774,360073,365509,370948,376452,381908,387608,393273,399161,405065,411103,417207,423346,429508,435682,441877,448443,455028,461483,468289,475039,481884,488742,495810,502863,509938,517226,524719,532152,539791,547639,555452,563430,571284,579450,587716,595956,604535,613158,621945,630896,639996,649047,658353,667653,677065,686534,696290,706226,716183,726246,736254,746419,756886,767331,777938,788745,799742,810693,822007,833204,844808,856481,868383,880492,892671,905007,917573,930116,942829,955764,968935,982227,995635,1009295,1023267,1037284,1051346
1,1,1,1,1,2,4,6,8,8,9,10,16,18,24,29,34,41,47,54,63,74,79,86,97,109,121,131,144,156,173,188,200,211,228,236,250,258,268,284,301,310,320,338,362,389,407,422,447,466,501,530,553,581,609,650,677,712,765,815,867,919,973,1037,1099,1150,1211,1279,1347,1390,1443,1499,1568,1643,1706,1771,1836,1893,1960,2027,2082,2143,2189,2246,2298,2352,2398,2451,2504,2566,2629,2688,2754,2819,2877,2948,3013,3085,3153,3237,3321,3392,3477,3573,3667,3755,3846,3943,4018,4129,4213,4302,4404,4491,4586,4670,4779,4883,4966,5085,5181,5287,5396,5513,5613,5718,5848,5946,6043,6148,6265,6372,6473,6596,6719,6837,6935,7052,7164,7293,7419,7529,7661,7779,7920,8052,8187,8324,8461,8609,8745,8896,9038,9166,9299,9448,9578,9712,9852,10012,10179,10352,10505,10659,10796,10960,11117,11279,11460,11618,11799,11973,12154,12368,12550,12754,12937,13144,13362,13585,13799,14024,14200,14425,14649,14869,15101,15337,15563,15805,16052,16280,16519,16767,16989,17233,17450,17709,17974,18205,18462,18712,18992,19218,19490,19723,20004,20259,20513,20788,21083,21370,21652,21936,22216,22514,22812,23104,23451,23754,24055,24393,24765,25115,25483,25867,26248,26611,27001,27385,27794,28149,28554,28981,29420,29835,30274,30724,31189,31657,32126,32619,33146,33642,34121,34631,35118,35612,36145,36649,37191,37736,38307,38868,39453,40062,40632,41234,41876,42527,43213,43887,44555,45258,45979,46693,47437,48185,49017,49819,50581,51437,52253,53112,53980,54886,55822,56717,57652,58627,59673,60710,61732,62759,63840,64946,66097,67222,68354,69552,70685,71986,73309,74574,75823,77137,78399,79696,80924,82223,83571,84940,86342,87724,89104,90517,91935,93386,94851,96384,97946,99505,101053,102545,104037,105655,107266,108861,110491,112224,113926,115612,117393,119242,121077,122864,124693,126564,128343,130172,132027,133896,135944,137979,139972,142094,144232,146399,148466,150605,152720,154948,157155,159410,161617,163887,166221,168548,170833,173211,175683,178073,180522,183051,185601,188028,190634,193223,195786,198508,201155,204012,206808,209626,212541,215405,218313,221185,224120,227172,230248,233448,236619,239790,243026,246253,249601,253011,256286,259782,263323,266912,270384,274031,277722,281499,285281,289114,292911,296853,300792,304843,308857,313060,317331,321575,325924,330329,334846,339398,343974,348593,353279,358194,362963,367862,372819,377799,382928,388110,393425,398649,404141,409685,415094,420720,426326,432071,437975,443911,449710,455672,461871,468112,474485,480879,487274,493624,500206,506955,513752,520674,527401,534278,541243,548376,555602,563118,570481,578205,585812,593647,601472,609493,617646,625776,634203,642680,651222,659936,668636,677407,686466,695355,704669,713978,723409,732880,742469,752398,762324,772375,782741,793107,803522,814008,824534,835193,846121,857097,868292,879425,890849,902547,914242,925853,937798,949768,962057,974602,987072,999754,1012750,1025663,1038524,1051800,1065473,1078981,1092721,1106650,1120761,1134953,1149327,1164286,1179267,1194391,1209757
1,1,5,6,8,9,9,9,12,19,28,41,46,51,55,60,67,74,78,88,96,105,114,124,133,148,162,166,187,193,202,207,213,223,231,240,247,254,261,266,275,284,287,291,292,301,307,313,322,329,335,343,352,365,379,395,409,424,433,444,460,481,499,535,547,575,592,618,638,658,680,704,737,763,788,822,848,866,895,929,944,974,1000,1025,1054,1080,1114,1146,1173,1209,1240,1272,1304,1333,1363,1401,1432,1458,1493,1516,1548,1576,1612,1645,1683,1720,1752,1786,1824,1854,1890,1920,1957,1999,2032,2075,2104,2149,2192,2244,2279,2318,2357,2401,2436,2474,2521,2570,2618,2666,2712,2755,2796,2828,2866,2907,2950,2989,3035,3075,3124,3164,3209,3255,3302,3355,3393,3434,3467,3515,3560,3616,3676,3730,3779,3842,3893,3954,4000,4061,4107,4172,4231,4301,4373,4437,4500,4554,4634,4710,4781,4849,4913,4997,5067,5142,5211,5276,5349,5431,5513,5571,5658,5743,5849,5946,6026,6112,6207,6286,6380,6472,6586,6668,6779,6878,6979,7094,7195,7315,7415,7532,7646,7751,7876,8009,8144,8255,8392,8544,8681,8820,8959,9091,9228,9365,9506,9651,9771,9913,10048,10187,10333,10483,10630,10785,10946,11076,11229,11389,11520,11676,11809,11974,12132,12292,12477,12675,12837,13034,13241,13412,13600,13818,14028,14223,14426,14650,14864,15082,15329,15558,15775,16001,16210,16463,16745,17025,17287,17552,17825,18095,18371,18651,18906,19224,19506,19797,20078,20353,20634,20887,21192,21511,21791,22095,22414,22722,23055,23400,23714,24029,24341,24685,25017,25380,25785,26131,26524,26911,27307,27699,28124,28521,28960,29416,29854,30317,30773,31258,31734,32207,32698,33195,33650,34111,34582,35112,35625,36153,36683,37298,37829,38404,38991,39645,40170,40757,41330,41945,42579,43206,43820,44449,45060,45659,46337,47016,47701,48379,49076,49786,50478,51160,51843,52587,53309,54052,54822,55604,56340,57092,57857,58645,59479,60258,61106,61892,62757,63633,64535,65482,66459,67394,68260,69251,70165,71147,72145,73168,74140,75132,76207,77325,78450,79606,80730,81922,83065,84254,85539,86761,87939,89216,90496,91807,93086,94440,95891,97245,98714,100120,101518,102928,104420,105908,107409,108969,110536,112139,113747,115448,117095,118737,120481,122085,123760,125522,127252,129058,130867,132700,134604,136543,138384,140259,142211,144185,146159,148098,150136,152192,154278,156412,158645,160852,163044,165236,167461,169735,172067,174475,176854,179208,181594,184176,186726,189293,191869,194570,197244,199961,202703,205510,208290,211202,214194,217145,220307,223372,226630,229797,233152,236388,239682,243023,246446,249963,253602,257228,261001,264712,268500,272375,276275,280203,284253,288224,292455,296652,300948,305208,309582,314058,318599,323302,327896,332680,337412,342245,347145,352088,357288,362578,367822,373072,378380,383872,389233,394742,400273,405961,411496,417281,423198,429098,435025,441091,447140,453382,459527,465838,472123,478650,485299,492097,498836
1,1,1,1,7,10,12,12,14,16,18,19,23,28,33,33,39,45,50,58,71,88,98,113,124,135,150,167,180,203,218,239,254,268,283,304,334,352,377,401,420,444,465,490,522,536,567,594,620,649,688,718,749,784,805,833,862,894,916,951,972,1001,1029,1051,1081,1116,1142,1172,1195,1229,1268,1304,1339,1371,1402,1429,1453,1489,1528,1563,1598,1626,1660,1702,1728,1788,1838,1877,1931,1977,2017,2062,2104,2161,2222,2274,2328,2381,2442,2505,2576,2644,2716,2776,2853,2924,3000,3086,3169,3263,3345,3430,3516,3602,3700,3806,3930,4041,4138,4239,4369,4511,4636,4764,4891,5020,5171,5315,5458,5599,5742,5886,6052,6195,6357,6521,6671,6837,6990,7154,7308,7448,7596,7740,7878,8046,8223,8402,8583,8761,8912,9072,9245,9404,9602,9767,9955,10154,10360,10573,10793,10991,11202,11429,11658,11878,12134,12386,12649,12899,13166,13440,13705,13995,14307,14594,14892,15227,15514,15829,16177,16496,16824,17153,17485,17840,18164,18508,18860,19221,19565,19933,20294,20686,21048,21436,21859,22272,22660,23085,23487,23942,24368,24821,25288,25704,26161,26655,27172,27654,28125,28623,29157,29718,30234,30773,31298,31840,32391,32951,33500,34012,34537,35169,35780,36334,36904,37486,38069,38658,39252,39825,40487,41105,41760,42437,43075,43740,44397,45051,45768,46506,47234,47955,48670,49406,50160,50965,51776,52582,53369,54271,55146,56013,56923,57804,58719,59749,60758,61727,62775,63830,64872,65968,67014,68169,69284,70377,71534,72660,73807,74994,76148,77373,78636,79881,81195,82475,83724,84983,86298,87582,88884,90275,91671,93026,94445,95893,97389,98834,100295,101819,103260,104761,106341,107890,109472,111000,112627,114289,115917,117651,119376,121073,122793,124555,126244,128010,129805,131574,133422,135257,137086,138930,140829,142685,144563,146532,148419,150349,152409,154459,156517,158505,160608,162726,164771,166972,169134,171314,173500,175676,177944,180285,182698,185165,187686,190078,192608,195130,197750,200358,203077,205855,208587,211305,214086,216941,219847,222799,225846,228857,231882,235030,238140,241392,244480,247803,251071,254178,257475,260924,264451,267771,271349,274944,278414,282075,285735,289360,293066,296781,300572,304462,308303,312284,316223,320227,324225,328338,332544,336765,341063,345343,349739,354165,358719,363254,367976,372725,377478,382339,387324,392273,397413,402609,407996,413423,418771,424187,429800,435456,441163,446939,452809,458604,464492,470578,476682,482867,489084,495539,501985,508460,515077,521647,528154,535008,541639,548406,555722,562624,569760,577001,584399,591880,599391,606698,614562,622362,630286,638368,646587,654707,662783,671109,679497,688040,696662,705485,714386,723649,732772,741865,751305,760885,770565,780281,790148,800175,810284,820546,830702,841325,852054,862974,873754,884882,896104,907531,919091,930758,942665,954523,966629,978919,991418,1003946,1016566,1029365,1042394,1055364,1068667,1081954,1095425,1109222,1123009,1136926,1151100,1165428,1180004,1194384,1209119,1224018,1239172,1254263,1269719,1285320,1301263,1317000,1333048,1349122,1365350,1381870,1398749,1415516,1432783
1,1,1,1,2,6,7,9,11,12,15,16,17,24,26,29,36,45,49,56,63,73,80,93,103,116,127,136,142,152,158,167,174,187,196,203,217,225,233,245,255,265,273,280,292,308,319,332,346,358,366,385,400,409,422,441,453,465,478,493,512,523,537,552,569,583,605,623,634,657,676,691,718,742,764,786,820,847,887,915,933,971,1008,1053,1088,1129,1161,1204,1232,1267,1301,1339,1385,1422,1471,1523,1561,1593,1644,1699,1757,1814,1871,1921,1982,2043,2090,2159,2218,2275,2343,2402,2462,2513,2598,2655,2729,2792,2862,2957,3036,3118,3191,3296,3379,3461,3553,3638,3736,3846,3950,4045,4160,4260,4379,4487,4608,4745,4877,5004,5120,5260,5401,5565,5710,5852,6005,6147,6333,6498,6655,6816,6985,7183,7355,7527,7718,7880,8026,8183,8345,8509,8642,8797,8936,9050,9192,9342,9511,9690,9866,10024,10186,10346,10521,10703,10872,11071,11240,11411,11589,11791,11992,12201,12417,12638,12864,13083,13289,13524,13734,13955,14180,14391,14637,14848,15063,15284,15490,15721,15959,16200,16423,16653,16903,17133,17379,17592,17846,18086,18344,18596,18844,19138,19402,19671,19944,20238,20500,20843,21159,21464,21790,22080,22394,22734,23093,23425,23796,24133,24477,24867,25235,25603,25918,26234,26598,26975,27357,27732,28113,28477,28858,29209,29583,29967,30318,30720,31092,31507,31912,32322,32752,33175,33602,34028,34482,34890,35340,35761,36180,36622,37038,37522,37978,38466,38930,39416,39891,40372,40852,41296,41797,42293,42796,43313,43794,44315,44816,45309,45841,46358,46869,47383,47952,48501,49049,49655,50288,50914,51511,52104,52753,53429,54095,54732,55391,56088,56789,57442,58087,58748,59458,60168,60855,61546,62259,62942,63668,64341,65100,65860,66609,67360,68102,68870,69646,70392,71175,72027,72832,73628,74432,75239,76121,76985,77867,78714,79547,80526,81421,82329,83297,84273,85192,86182,87103,88140,89151,90154,91135,92138,93157,94191,95226,96278,97338,98434,99525,100627,101762,102936,104117,105202,106344,107554,108727,109956,111203,112482,113744,114999,116221,117507,118844,120159,121490,122902,124229,125634,126964,128327,129712,131170,132639,134177,135659,137131,138591,140099,141631,143188,144782,146472,148128,149767,151515,153146,154876,156689,158517,160361,162232,164014,165866,167800,169732,171747,173801,175806,177917,180065,182183,184385,186578,188890,191110,193378,195656,197939,200299,202606,204993,207436,209774,212365,214838,217334,219844,222436,225014,227550,230230,232956,235680,238343,241124,243929,246708,249588,252533,255431,258409,261537,264658,267736,270997,274190,277421,280777,284056,287558,290912,294388,297940,301554,305342,309248,313115,317043,320963,325029,329112,333278,337463,341708,346182,350709,355020,359588,364237,368900,373622,378474,383479,388454,393497,398570,403809,408855,414087,419306,424692,430129,435717,441491,447347,453230,459160,465217,471213,477245,483604,489896,496321,502932,509632,516393,523165,530173,537116,544203,551252,558556,565869,573182,580719
1,1,3,5,6,8,9,11,12,13,15,15,15,16,19,23,25,32,35,41,51,55,62,65,80,87,105,124,135,147,159,170,180,194,207,216,231,243,250,255,266,272,290,296,304,319,335,352,370,380,396,416,428,445,463,483,500,509,533,541,567,589,606,629,648,673,699,719,743,771,792,823,845,886,923,962,1001,1025,1044,1076,1108,1133,1160,1192,1225,1256,1289,1318,1341,1361,1392,1414,1450,1492,1524,1545,1581,1600,1637,1673,1715,1746,1789,1842,1882,1939,1979,2022,2075,2117,2167,2210,2274,2317,2375,2434,2481,2533,2591,2648,2709,2774,2822,2877,2914,2972,3021,3081,3135,3183,3232,3285,3338,3402,3450,3522,3583,3640,3709,3778,3850,3934,4003,4091,4177,4264,4374,4453,4548,4657,4770,4870,4964,5036,5112,5196,5273,5352,5431,5510,5599,5682,5754,5824,5893,5981,6049,6128,6234,6321,6405,6474,6544,6629,6720,6826,6911,7008,7090,7190,7288,7377,7462,7553,7646,7756,7887,7995,8112,8220,8320,8452,8565,8700,8833,8988,9123,9251,9403,9535,9668,9809,9944,10087,10228,10384,10554,10730,10903,11061,11222,11410,11580,11752,11927,12114,12278,12440,12613,12809,12998,13211,13423,13595,13798,14006,14205,14409,14625,14835,15034,15276,15491,15732,15972,16219,16430,16649,16901,17098,17334,17585,17834,18104,18346,18601,18827,19118,19378,19623,19927,20223,20563,20868,21203,21508,21853,22177,22527,22877,23239,23615,24015,24418,24793,25187,25579,25968,26368,26809,27199,27659,28104,28575,29060,29525,30035,30499,30988,31466,32027,32518,33060,33575,34095,34652,35235,35820,36472,37077,37680,38330,38975,39670,40333,41050,41742,42425,43104,43824,44563,45273,45991,46786,47550,48352,49151,49993,50797,51596,52470,53322,54159,54980,55856,56694,57557,58428,59321,60157,61074,62017,62934,63824,64783,65731,66657,67663,68581,69568,70618,71708,72780,73880,74944,76063,77159,78295,79363,80554,81729,82953,84128,85408,86646,87955,89235,90602,91862,93167,94507,95915,97269,98671,100023,101448,102913,104392,105902,107474,109039,110546,112095,113755,115402,117087,118745,120564,122346,124188,126064,127871,129758,131757,133764,135782,137940,140078,142157,144340,146587,148804,151176,153583,155882,158282,160654,163139,165636,168163,170656,173300,176010,178650,181297,184015,186792,189483,192222,195118,197978,200900,203839,206882,209955,213015,216102,219218,222395,225579,228789,232083,235436,238912,242342,245890,249342,252952,256592,260362,264203,268021,271909,276026,279991,284110,288146,292265,296498,300901,305157,309582,314088,318604,323263,327890,332643,337558,342467,347471,352324,357311,362612,367797,373209,378617,383937,389529,395062,400549,406245,411982,417884,423839,429809,435790,441976,448233,454498,460999,467490,473987,480612,487406,494224,501155,508192,515312,522634,529839,537353,544920,552641,560414,568180,575888,583944,591915,600009,608408,616808,625245,634005,642721,651568,660684,669899,679098,688533,697911,707592,717072,726971,736800,746820,756877,767141
1,1,2,4,8,10,10,12,18,21,24,26,29,37,44,48,53,58,63,70,76,80,93,100,108,114,121,132,143,149,154,161,171,181,191,199,206,216,228,235,244,254,261,274,288,306,317,332,351,366,386,406,429,452,465,485,507,525,546,564,587,607,630,643,670,696,729,744,756,776,797,813,835,860,877,898,924,947,978,1008,1040,1061,1094,1117,1142,1171,1202,1239,1264,1296,1333,1374,1404,1427,1463,1502,1530,1566,1592,1626,1661,1693,1724,1753,1792,1825,1852,1886,1923,1949,1977,2018,2062,2095,2133,2172,2203,2225,2249,2279,2311,2349,2379,2408,2450,2493,2525,2550,2583,2622,2674,2712,2766,2814,2861,2909,2964,3007,3064,3112,3165,3229,3288,3328,3390,3431,3484,3548,3620,3665,3718,3773,3841,3902,3958,4013,4077,4139,4213,4268,4345,4409,4481,4577,4672,4756,4855,4936,5023,5102,5204,5316,5402,5484,5598,5711,5832,5962,6066,6174,6306,6423,6532,6649,6759,6881,6989,7106,7224,7340,7457,7563,7688,7803,7919,8049,8190,8332,8466,8582,8716,8837,9002,9153,9300,9456,9616,9761,9930,10103,10276,10450,10611,10767,10921,11104,11292,11467,11666,11852,12052,12243,12466,12670,12868,13072,13270,13466,13648,13863,14085,14309,14556,14835,15068,15331,15586,15837,16043,16271,16516,16783,17053,17334,17619,17909,18220,18533,18799,19065,19336,19634,19909,20183,20461,20759,21056,21331,21623,21901,22167,22451,22713,22992,23286,23589,23884,24202,24544,24854,25190,25523,25875,26197,26535,26855,27199,27550,27918,28286,28648,29075,29427,29816,30229,30631,31042,31434,31874,32259,32653,33116,33576,33972,34422,34903,35344,35793,36273,36764,37246,37766,38299,38840,39393,39972,40516,41061,41676,42266,42869,43498,44106,44698,45410,46092,46721,47439,48167,48890,49636,50356,51143,51919,52686,53472,54266,55117,55923,56725,57583,58436,59299,60177,61083,62053,62970,63887,64879,65907,66882,67901,68929,69951,71015,72141,73225,74298,75389,76504,77602,78772,79955,81115,82370,83561,84750,86070,87320,88553,89903,91275,92608,93942,95279,96641,97955,99444,100791,102183,103631,105089,106611,108109,109620,111139,112687,114296,115870,117527,119109,120691,122296,123919,125594,127219,128882,130597,132287,134091,135863,137616,139482,141209,143019,144915,146819,148695,150677,152668,154603,156581,158593,160660,162701,164823,166933,169018,171135,173355,175584,177746,179914,182207,184449,186746,189110,191405,193796,196236,198622,201123,203635,206171,208760,211355,213944,216601,219297,221977,224667,227546,230337,233118,235982,238952,241914,244934,248005,250992,254142,257245,260370,263555,266905,270155,273498,276964,280391,283899,287578,291191,294860,298530,302412,306311,310217,314190,318225,322313,326470,330699,334990,339340,343877,348324,352878,357531,362174,366869,371778,376730,381626,386565,391640,396884,402099,407313,412643,418034,423306,428682,434242,439783,445485,451054,456797,462783,468691,474777,480797,486971,493147,499474,505927,512405,518930
1,1,3,3,7,9,10,11,11,13,17,20,21,23,26,30,32,39,41,44,51,52,58,69,82,90,99,105,115,125,130,140,151,157,168,178,184,195,202,205,211,218,223,231,233,237,245,251,257,259,261,267,272,278,281,285,287,289,292,295,297,306,312,316,318,323,331,341,346,352,358,360,369,376,381,384,393,398,412,422,435,447,468,487,504,516,529,550,573,593,606,615,643,665,698,717,735,756,778,796,820,835,854,875,894,914,939,957,972,996,1022,1047,1076,1110,1140,1164,1187,1213,1249,1271,1300,1322,1343,1365,1397,1416,1438,1465,1496,1511,1545,1562,1578,1605,1640,1662,1694,1722,1746,1778,1793,1822,1848,1863,1894,1926,1960,2000,2046,2085,2122,2164,2197,2238,2274,2317,2368,2417,2468,2525,2583,2637,2698,2747,2796,2843,2900,2960,3026,3081,3145,3212,3278,3333,3394,3468,3532,3607,3694,3772,3856,3927,3995,4071,4152,4229,4318,4410,4495,4572,4648,4736,4822,4906,4998,5077,5178,5246,5346,5450,5540,5629,5708,5786,5873,5962,6038,6119,6197,6272,6369,6468,6558,6657,6723,6804,6871,6964,7061,7132,7223,7294,7381,7481,7576,7658,7774,7841,7925,8047,8154,8236,8339,8436,8524,8639,8717,8812,8902,9038,9147,9261,9367,9470,9571,9678,9810,9938,10030,10145,10247,10371,10495,10616,10742,10874,11012,11157,11307,11454,11601,11754,11885,12050,12214,12368,12549,12709,12885,13068,13262,13451,13640,13832,14024,14221,14414,14634,14850,15078,15309,15533,15766,15979,16260,16494,16739,17019,17273,17566,17839,18143,18455,18770,19076,19408,19767,20163,20510,20865,21223,21591,21984,22375,22718,23090,23463,23878,24266,24659,25065,25504,25910,26332,26801,27235,27734,28194,28667,29207,29698,30172,30654,31163,31665,32179,32714,33274,33857,34443,35003,35554,36130,36740,37379,37988,38641,39269,39835,40463,41111,41787,42427,43101,43796,44467,45152,45835,46588,47349,48090,48834,49636,50453,51282,52140,52952,53771,54635,55463,56341,57207,58112,58993,59902,60747,61698,62616,63618,64585,65608,66549,67544,68568,69577,70654,71663,72717,73742,74807,75924,77051,78218,79356,80509,81675,82877,84094,85399,86702,88002,89334,90677,91934,93252,94759,96201,97676,99173,100646,102092,103528,105052,106530,108130,109705,111389,113063,114772,116462,118145,119922,121727,123556,125457,127312,129225,131086,132976,134941,136884,138869,140821,142868,144917,147004,149108,151285,153511,155727,158008,160297,162584,164871,167180,169557,172014,174515,176965,179442,182052,184628,187304,189934,192738,195631,198411,201144,203957,206712,209595,212595,215582,218656,221652,224815,227999,231196,234527,237842,241192,244612,248035,251533,255139,258738,262428,266073,269839,273660,277607,281429,285358,289410,293422,297579,301749,305979,310146,314465,318780,323291,327785,332364,337098,341982,346739,351476,356346,361309,366302,371440,376595,381973,387366,392708,398280
1,1,1,1,1,3,4,4,5,6,6,6,6,7,7,10,10,17,20,26,28,35,36,41,48,56,57,63,70,76,86,94,106,113,124,129,133,147,159,171,176,182,189,196,200,207,212,217,226,234,241,250,254,257,260,264,264,265,270,275,279,289,289,296,299,302,309,311,315,319,325,327,339,355,369,379,392,403,413,428,441,458,471,491,510,528,553,567,598,625,659,682,704,726,757,788,828,861,886,914,941,978,1002,1041,1072,1113,1149,1184,1226,1265,1302,1337,1375,1418,1458,1500,1545,1590,1632,1682,1744,1794,1859,1925,1991,2080,2151,2230,2310,2408,2515,2618,2726,2834,2932,3040,3170,3289,3404,3535,3664,3785,3912,4051,4180,4315,4443,4580,4729,4868,5018,5184,5335,5476,5653,5816,5984,6144,6322,6512,6696,6878,7065,7275,7475,7635,7846,8058,8283,8507,8729,8968,9192,9394,9635,9862,10147,10365,10637,10904,11186,11416,11674,11926,12163,12416,12655,12924,13177,13438,13684,13966,14233,14490,14728,14979,15233,15477,15723,16017,16297,16540,16800,17075,17353,17597,17888,18126,18381,18647,18934,19192,19429,19680,19920,20199,20471,20717,20995,21279,21541,21806,22091,22353,22609,22868,23146,23410,23717,24001,24298,24618,24950,25265,25565,25865,26215,26572,26874,27199,27544,27863,28183,28526,28887,29214,29561,29902,30261,30580,30952,31333,31728,32129,32474,32877,33252,33649,34056,34428,34822,35221,35638,36058,36451,36886,37290,37709,38148,38572,39039,39532,39967,40459,40927,41399,41878,42417,42904,43435,43939,44443,44986,45543,46108,46678,47263,47815,48424,48990,49608,50261,50908,51560,52263,52906,53590,54245,54955,55673,56355,57058,57771,58512,59216,59943,60645,61413,62202,62999,63755,64528,65302,66155,67048,67901,68710,69545,70368,71231,72150,73064,74010,74992,75956,76916,77910,78940,79972,80954,81978,83010,84140,85297,86464,87564,88727,89895,91068,92272,93431,94641,95878,97130,98456,99796,101113,102469,103796,105114,106543,107971,109362,110808,112358,113907,115398,116897,118422,120029,121642,123234,124878,126493,128202,129784,131492,133216,134959,136791,138605,140414,142280,144272,146276,148290,150300,152339,154432,156569,158625,160827,163086,165396,167630,169987,172407,174825,177161,179595,182061,184512,186995,189570,192269,195025,197758,200554,203424,206363,209195,212149,215178,218131,221149,224289,227419,230588,233879,237184,240565,243896,247315,250816,254369,257875,261509,265202,268940,272735,276588,280464,284552,288514,292491,296559,300736,305009,309305,313601,317997,322522,327080,331698,336428,341245,346104,351012,356059,361243,366347,371575,376822,382250,387763,393432,399162,404968,410763,416786,422902,429024,435308,441588,447964,454594,461152,467825,474670,481628,488596,495715,502697,509896,517189,524672,532196,539801,547465,555205,562769,570557,578214,586325,594418,602595,610839,619156,627884,636388,645076,653895,662883,671944,681199,690459,699859,709424,719169,729079,738957,748833,758852,769196,779834,790521,801238
1,1,1,1,1,1,1,1,1,3,3,5,8,10,11,15,18,20,20,22,23,23,25,25,26,28,30,33,35,42,47,53,57,61,65,67,74,78,85,86,97,105,109,116,127,135,143,146,154,159,169,180,194,206,224,241,253,272,284,305,327,347,370,389,410,438,469,501,523,545,572,602,634,661,688,717,746,770,795,827,858,888,921,943,984,1022,1064,1106,1149,1196,1236,1282,1331,1382,1432,1492,1548,1614,1687,1750,1815,1884,1967,2061,2147,2222,2304,2378,2455,2538,2628,2697,2782,2860,2944,3026,3098,3177,3263,3343,3410,3496,3581,3662,3749,3816,3896,3981,4081,4147,4228,4328,4403,4499,4583,4680,4765,4878,4964,5060,5158,5257,5350,5426,5538,5622,5720,5819,5931,6032,6132,6245,6341,6442,6558,6642,6737,6843,6955,7036,7146,7242,7357,7468,7583,7700,7803,7922,8022,8135,8254,8371,8510,8626,8766,8901,9041,9172,9295,9423,9585,9730,9869,10028,10202,10362,10516,10682,10840,11031,11192,11345,11511,11646,11843,12006,12154,12327,12508,12677,12866,13041,13214,13377,13561,13738,13910,14091,14244,14426,14603,14754,14958,15138,15313,15513,15718,15908,16105,16295,16508,16727,16923,17129,17316,17564,17776,17985,18206,18445,18683,18936,19191,19443,19681,19933,20183,20420,20665,20921,21185,21438,21674,21963,22228,22496,22742,23069,23354,23623,23926,24235,24539,24868,25180,25482,25821,26178,26541,26915,27249,27625,27979,28340,28701,29081,29504,29914,30302,30671,31096,31520,31968,32411,32830,33273,33686,34132,34560,35018,35468,35928,36418,36957,37458,37958,38453,38961,39477,40053,40654,41238,41737,42267,42843,43409,44001,44594,45210,45809,46457,47089,47729,48367,49025,49666,50354,51048,51734,52419,53074,53753,54416,55154,55919,56659,57422,58130,58873,59656,60417,61203,61997,62858,63696,64574,65447,66385,67305,68248,69217,70193,71188,72225,73318,74356,75392,76511,77674,78808,79936,81140,82354,83535,84773,85980,87246,88552,89815,91144,92463,93776,95078,96408,97766,99153,100566,101965,103352,104745,106198,107677,109184,110636,112140,113652,115150,116673,118265,119766,121329,122971,124596,126220,127881,129530,131265,133021,134799,136552,138312,140156,141946,143767,145689,147645,149588,151599,153730,155793,157968,160148,162446,164719,167084,169378,171776,174199,176666,179129,181798,184527,187317,190093,192964,195771,198633,201587,204569,207596,210545,213627,216810,220010,223137,226435,229836,233331,236699,240136,243771,247323,250902,254524,258329,262255,266049,269888,273869,277765,281789,285884,290042,294178,298444,302767,307075,311559,316072,320573,325057,329622,334250,339041,343946,348859,353879,358886,363938,369101,374231,379444,384778,390039,395430,401009,406612,412245,417818,423614,429568,435370,441383,447532,453810,459947,466337,472753,479215,485719,492490,499408,506321,513159,520090,527186,534460,541461,548787,556171,563547,570930,578390,586098,593733,601506,609420,617527,625644,633825,642052,650541,659076,667610,676306,685026,693666
1,1,4,5,6,7,8,12,15,19,23,26,30,36,43,53,59,65,72,77,83,89,96,107,120,127,133,144,155,168,178,186,192,204,214,224,236,249,264,278,289,297,318,333,347,362,384,402,423,453,473,499,523,554,581,610,639,677,703,733,765,798,826,862,891,922,963,1001,1044,1083,1120,1147,1196,1228,1266,1304,1352,1391,1435,1474,1517,1564,1616,1644,1676,1722,1763,1817,1862,1902,1946,1991,2039,2086,2137,2197,2265,2327,2380,2438,2498,2554,2614,2673,2726,2782,2834,2885,2952,3011,3067,3114,3172,3232,3298,3360,3422,3491,3558,3617,3683,3743,3797,3862,3925,3997,4062,4121,4192,4264,4326,4396,4452,4519,4595,4661,4735,4787,4861,4931,4999,5067,5129,5203,5279,5339,5417,5499,5578,5652,5758,5876,5968,6057,6138,6240,6338,6456,6555,6649,6755,6854,6967,7081,7184,7290,7388,7501,7607,7720,7839,7959,8072,8178,8283,8390,8493,8622,8726,8833,8937,9055,9156,9273,9367,9450,9553,9656,9766,9895,10034,10148,10270,10382,10494,10617,10749,10875,11000,11127,11253,11400,11542,11670,11820,11959,12089,12243,12395,12584,12775,12938,13120,13287,13452,13619,13802,13969,14165,14350,14525,14700,14896,15094,15297,15498,15711,15897,16089,16279,16486,16703,16906,17116,17322,17524,17726,17931,18134,18340,18558,18780,19031,19245,19462,19692,19928,20175,20406,20659,20885,21148,21397,21666,21933,22216,22475,22760,23047,23350,23653,23935,24276,24613,24929,25270,25624,25973,26337,26681,27048,27402,27780,28154,28529,28943,29341,29720,30105,30529,30992,31433,31904,32345,32851,33298,33767,34251,34761,35279,35807,36289,36841,37368,37863,38416,38985,39550,40136,40725,41299,41900,42519,43223,43881,44524,45183,45810,46473,47183,47877,48544,49232,49932,50664,51438,52215,52959,53742,54558,55337,56115,56930,57745,58592,59395,60185,61027,61880,62705,63596,64445,65336,66251,67126,68036,68984,69932,70932,71869,72916,73916,74926,75950,76990,78049,79086,80151,81170,82232,83370,84478,85681,86833,87974,89205,90484,91734,93048,94350,95733,97086,98545,99991,101455,102960,104482,105985,107500,108999,110572,112215,113811,115455,117148,118890,120618,122327,124056,125779,127596,129477,131363,133328,135178,137158,139204,141112,143118,145200,147338,149487,151696,153940,156280,158622,160982,163478,165951,168389,171015,173596,176201,178931,181635,184445,187251,190111,192942,195899,198936,202064,205216,208407,211573,214856,218234,221559,224871,228405,231925,235602,239271,242937,246638,250464,254320,258179,262145,266146,270246,274394,278578,282771,287047,291328,295648,300067,304479,308912,313470,317908,322562,327295,332138,336878,341800,346695,351776,356956,362134,367361,372581,378103,383619,389171,394802,400589,406386,412192,418075,424147,430324,436578,442966,449546,456069,462545,469133,475883,482624,489447,496383,503387,510361,517574,524674,531976,539287,546975,554534,562262,569918,577780,585655,593744,601881,610127,618642,626987,635478,644158,652883,661602,670523,679494,688832
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1,1,1,1,1,3,4,8,9,11,14,16,20,23,27,30,35,39,50,55,62,62,70,76,80,91,103,122,137,155,169,180,198,220,241,265,286,315,344,369,400,434,465,497,541,563,596,628,661,684,724,771,800,834,869,902,937,963,1003,1048,1089,1127,1168,1213,1251,1308,1381,1443,1516,1586,1651,1716,1792,1880,1957,2043,2133,2217,2312,2409,2482,2556,2639,2717,2801,2874,2941,3025,3101,3186,3257,3344,3413,3477,3556,3629,3695,3767,3833,3895,3950,4009,4066,4142,4210,4281,4348,4422,4494,4562,4623,4695,4771,4847,4913,4979,5040,5116,5186,5248,5326,5431,5503,5580,5651,5722,5798,5877,5974,6063,6150,6245,6347,6440,6539,6656,6767,6884,6983,7097,7229,7351,7485,7615,7733,7840,7950,8077,8192,8312,8419,8557,8675,8772,8895,9027,9155,9270,9393,9528,9650,9768,9900,10029,10169,10277,10401,10535,10683,10827,10971,11108,11231,11370,11503,11663,11818,11955,12117,12268,12436,12592,12781,12931,13130,13323,13494,13695,13873,14056,14219,14403,14585,14774,14925,15126,15297,15483,15664,15865,16068,16259,16431,16585,16766,16958,17148,17334,17548,17713,17903,18096,18280,18454,18650,18837,19040,19209,19409,19630,19829,20035,20250,20471,20694,20891,21099,21299,21508,21731,21949,22184,22416,22658,22898,23146,23383,23607,23844,24068,24325,24573,24831,25093,25362,25622,25908,26152,26439,26739,27028,27354,27670,28003,28357,28652,29013,29345,29711,30056,30442,30828,31224,31632,32041,32454,32882,33308,33756,34220,34691,35211,35699,36190,36712,37239,37759,38316,38872,39412,40000,40573,41183,41792,42382,42951,43591,44185,44773,45399,46102,46792,47432,48078,48849,49567,50217,50928,51592,52293,53025,53786,54549,55302,56072,56874,57641,58408,59199,60001,60809,61620,62518,63431,64271,65154,66027,66973,67869,68743,69693,70655,71595,72583,73606,74623,75663,76738,77841,78983,80087,81182,82329,83547,84693,85895,87094,88416,89660,91016,92310,93624,94984,96360,97759,99214,100759,102223,103690,105285,106878,108517,110155,111761,113500,115288,117050,118801,120652,122421,124249,126181,128179,130155,132146,134229,136292,138311,140447,142571,144702,147035,149361,151726,154121,156530,158931,161442,164002,166631,169268,171901,174630,177425,180327,183107,185930,188862,191849,194798,197892,200935,204088,207210,210406,213638,216982,220286,223681,227111,230571,234052,237555,241124,244765,248506,252167,256033,259950,263772,267893,271948,276078,280272,284436,288674,293051,297410,301815,306310,310903,315562,320140,324850,329759,334649,339572,344524,349394,354448,359626,364796,369962,375199,380256,385692,391069,396484,401992,407542,413049,418623,424506,430291,436187,442020,447897,453899,460048,466251,472570,478833,485165,491637,498282,504947,511700,518465,525312,532344,539300,546496,553622,560716,568080,575391,582865,590623,598144,606046,613958,622052,630168,638468,647046,655488,663978,672606,681373,690326,699496,708712,717925,727422,737166,746772,756529,766411,776658,786688,797181,807650,818350,829100,839977,851094,862085
1,1,3,3,3,6,9,14,15,16,16,19,29,32,37,41,44,47,48,57,68,75,87,94,106,114,121,131,137,141,152,159,164,173,180,184,194,202,210,216,219,227,236,244,254,265,276,282,286,291,301,311,320,326,329,331,333,342,354,366,376,387,402,416,429,445,455,466,486,496,513,522,546,564,588,618,643,671,704,725,758,783,819,854,889,927,969,999,1046,1085,1121,1159,1219,1250,1279,1317,1353,1384,1425,1459,1496,1529,1563,1593,1632,1667,1699,1740,1777,1811,1852,1887,1919,1960,1999,2035,2067,2112,2143,2185,2237,2287,2337,2390,2436,2485,2550,2607,2672,2724,2783,2846,2914,2990,3062,3140,3220,3304,3392,3471,3537,3612,3685,3780,3874,3982,4085,4190,4295,4389,4479,4572,4676,4787,4886,4996,5117,5215,5331,5452,5572,5693,5816,5949,6075,6214,6352,6477,6625,6764,6914,7093,7245,7381,7545,7724,7884,8061,8246,8418,8585,8747,8925,9072,9250,9425,9619,9808,10016,10234,10413,10625,10839,11028,11232,11463,11679,11903,12132,12380,12619,12853,13062,13302,13551,13786,14046,14301,14562,14797,15060,15327,15588,15875,16169,16458,16734,17041,17353,17672,18035,18372,18713,19021,19380,19765,20118,20513,20908,21281,21692,22052,22448,22876,23286,23697,24137,24571,25008,25444,25927,26371,26843,27364,27901,28420,28975,29506,30050,30588,31175,31720,32310,32957,33598,34230,34882,35526,36173,36888,37525,38253,38978,39693,40453,41222,42022,42763,43559,44374,45155,45968,46811,47646,48460,49382,50299,51213,52200,53172,54203,55213,56226,57274,58332,59335,60418,61496,62553,63645,64714,65811,66935,68119,69252,70484,71749,73009,74230,75527,76780,78091,79391,80672,81968,83276,84603,85947,87418,88751,90115,91572,93066,94550,96007,97543,99085,100626,102187,103682,105308,106905,108524,110195,111872,113583,115368,117107,118892,120681,122517,124376,126230,128047,129972,131876,133829,135833,137810,139900,141876,143983,146145,148289,150411,152660,154874,157135,159343,161701,164033,166445,168853,171268,173824,176362,179039,181659,184309,187053,189777,192563,195437,198355,201393,204346,207443,210552,213600,216756,220030,223340,226626,229943,233270,236646,240103,243636,247150,250746,254376,258015,261799,265455,269292,273070,276884,280792,284765,288907,293015,297158,301509,305955,310485,314932,319417,323996,328659,333251,337951,342762,347646,352517,357450,362566,367663,372901,378116,383396,388672,394037,399510,405080,410749,416592,422378,428149,433988,439934,446007,452220,458374,464668,471094,477435,484296,490829,497713,504638,511441,518446,525542,532640,539855,547278,554686,562247,569779,577486,585185,593117,601200,609323,617498,625698,634013,642587,651250,659935,668651,677560,686654,695686,704937,714117,723681,733163,742707,752436,762483,772627,782835,793172,803571,814207,825057,835749,846689,857874,869130,880480,892026,903797,915354,927370,939486,951908,964253,976711,989329,1001958,1014842,1027865,1040960,1054182,1067703,1081544,1095445,1109392,1123676,1137826,1152222,1166775,1181601,1196810,1211861
1,1,1,1,2,4,10,12,13,14,16,19,22,24,27,33,37,42,45,51,59,69,70,73,82,86,95,97,108,112,122,135,149,153,161,173,189,200,210,213,224,234,240,253,258,270,281,296,303,316,328,341,351,366,375,388,406,417,427,436,445,456,467,475,480,485,492,503,507,512,521,531,538,549,557,563,577,587,593,605,608,617,620,628,633,637,646,655,664,672,687,700,708,714,717,726,742,751,760,770,782,794,807,835,847,865,882,900,914,933,948,969,991,1008,1035,1053,1072,1095,1125,1145,1176,1199,1224,1251,1279,1305,1336,1366,1393,1428,1472,1505,1529,1568,1603,1634,1676,1695,1719,1758,1790,1826,1858,1904,1943,1972,1990,2017,2060,2090,2130,2159,2193,2227,2271,2311,2355,2394,2442,2475,2510,2555,2615,2663,2729,2777,2831,2881,2935,2986,3044,3111,3172,3218,3278,3351,3417,3484,3554,3630,3711,3789,3857,3922,4010,4061,4125,4193,4269,4348,4427,4507,4589,4680,4768,4871,4967,5069,5174,5273,5369,5490,5600,5735,5864,5996,6136,6262,6406,6553,6699,6844,6986,7160,7313,7451,7635,7804,7961,8162,8344,8497,8664,8860,9049,9243,9457,9661,9851,10063,10269,10488,10699,10923,11153,11370,11593,11823,12060,12326,12574,12800,13046,13299,13549,13798,14039,14311,14596,14897,15201,15480,15781,16139,16451,16810,17145,17486,17824,18193,18564,18960,19347,19748,20125,20511,20948,21353,21744,22143,22566,22999,23400,23854,24285,24759,25215,25626,26022,26473,26932,27398,27865,28348,28849,29330,29840,30334,30891,31422,31933,32443,32962,33504,34112,34647,35247,35878,36456,37109,37755,38410,39093,39808,40494,41182,41890,42632,43318,44061,44851,45621,46380,47154,47944,48753,49607,50434,51248,52146,52998,53852,54720,55612,56508,57399,58272,59229,60151,61058,61972,62941,63840,64771,65762,66759,67752,68777,69799,70888,71963,73112,74140,75219,76361,77489,78592,79832,81039,82229,83422,84698,86075,87446,88762,90096,91399,92813,94251,95743,97209,98669,100245,101853,103458,105064,106654,108282,109941,111590,113290,115002,116608,118314,120121,121894,123676,125559,127446,129314,131229,133130,135096,137015,139077,141125,143218,145329,147429,149492,151671,153763,155873,158068,160247,162538,164786,167024,169306,171578,174030,176441,178816,181221,183697,186199,188799,191327,193958,196691,199393,202132,204905,207635,210411,213323,216230,219187,222092,225122,228198,231195,234316,237613,240816,244026,247365,250694,254011,257554,261047,264576,268061,271685,275387,279153,282892,286673,290570,294529,298538,302695,306848,311073,315330,319501,323792,328099,332557,337141,341779,346469,351323,356027,360913,365902,370871,375953,381040,386274,391661,397115,402608,408138,413672,419268,425203,430947,436811,442921,449082,455331,461627,468101,474611,481096,487749,494649,501380,508209,515090,522013,529050,536044,543295,550741,558249,565916,573561,581301,589158,597102,605228,613312,621536,629845,638149
1,1,2,3,5,8,10,10,13,13,13,15,18,20,23,28,32,39,42,45,49,52,55,59,65,70,74,77,84,92,98,112,120,132,144,163,177,187,204,219,236,254,279,301,322,339,371,393,413,428,452,476,509,537,561,582,612,645,673,691,728,758,779,814,849,880,914,949,989,1033,1072,1109,1142,1171,1213,1256,1306,1348,1408,1454,1494,1530,1582,1627,1672,1711,1750,1801,1840,1873,1927,1973,2033,2092,2142,2195,2260,2317,2365,2436,2495,2541,2588,2652,2714,2772,2837,2899,2975,3052,3126,3209,3280,3377,3469,3563,3654,3744,3817,3917,4016,4134,4244,4348,4448,4554,4640,4739,4832,4936,5040,5155,5267,5368,5471,5588,5694,5806,5918,6028,6137,6242,6345,6463,6593,6717,6817,6949,7069,7199,7338,7448,7575,7718,7851,7979,8109,8251,8395,8524,8646,8787,8931,9067,9218,9370,9517,9678,9842,10008,10155,10309,10495,10692,10852,11066,11273,11445,11629,11815,12022,12232,12418,12620,12833,13033,13250,13457,13680,13920,14175,14395,14611,14853,15079,15316,15545,15790,16048,16303,16552,16822,17094,17379,17685,18005,18310,18612,18941,19269,19599,19937,20293,20649,21030,21403,21807,22168,22578,22969,23382,23769,24185,24600,25022,25437,25858,26287,26743,27228,27714,28166,28606,29077,29567,30074,30597,31099,31564,32106,32645,33170,33756,34301,34876,35456,36060,36677,37285,37864,38492,39163,39769,40433,41079,41708,42372,43024,43737,44431,45103,45814,46497,47209,47957,48716,49456,50195,50923,51712,52495,53361,54191,55055,55901,56745,57599,58538,59399,60312,61245,62174,63101,64085,65054,65996,67075,68081,69081,70092,71161,72237,73309,74428,75564,76737,77900,79056,80275,81509,82745,83937,85183,86433,87753,89127,90499,91785,93163,94560,95949,97387,98849,100302,101729,103092,104488,105942,107398,108983,110416,111847,113328,114907,116437,117986,119570,121150,122803,124425,126051,127744,129476,131203,132951,134691,136446,138313,140287,142110,144054,145958,147911,149856,151866,153964,156102,158250,160434,162557,164741,167057,169391,171675,173966,176324,178641,181092,183521,186075,188581,191184,193793,196439,199107,201762,204568,207300,210131,212963,215805,218808,221826,224834,227824,230863,233966,237253,240454,243739,247008,250342,253804,257192,260640,264234,267953,271573,275265,279019,282911,286985,291044,295176,299241,303435,307624,312043,316438,320957,325464,329995,334633,339291,343955,348699,353463,358418,363423,368365,373453,378811,384092,389303,394813,400180,405800,411291,417029,422983,428906,434869,440970,447138,453417,459816,466293,472830,479393,486072,492780,499636,506504,513568,520679,527711,534914,542299,549694,557210,564883,572789,580644,588527,596750,604781,613036,621254,629672,638096,646726,655501,664392,673397,682474,691714,701009,710397,719991,729850,739504,749486,759403,769599,779838,790294,800774,811384,822224,832999,844046,855162,866587,878173,889701,901198,913113,924960,937002,949150,961336,973719,986394,999286,1012325,1025304,1038445,1051759,1065212,1079126,1092642,1106433,1120713,1135183,1149702,1164314,1179377
1,1,4,5,5,7,9,10,12,13,19,22,24,28,32,36,40,43,45,50,55,62,71,79,92,100,111,125,130,136,145,157,162,175,179,186,201,207,218,233,241,250,264,278,289,304,311,318,326,339,353,366,376,393,405,413,420,440,456,478,492,510,529,554,572,591,606,625,646,664,681,701,717,732,749,762,786,806,831,850,870,895,917,946,968,993,1016,1040,1062,1100,1135,1172,1198,1227,1258,1292,1319,1352,1381,1414,1463,1498,1545,1588,1630,1669,1719,1770,1821,1881,1942,1988,2035,2078,2134,2196,2243,2312,2370,2439,2509,2559,2615,2672,2727,2797,2856,2932,3004,3082,3159,3225,3297,3380,3458,3551,3631,3721,3841,3932,4014,4109,4223,4305,4418,4530,4640,4748,4861,4981,5077,5168,5255,5367,5481,5583,5697,5807,5915,6045,6179,6300,6401,6507,6624,6754,6894,7035,7149,7299,7462,7617,7765,7930,8076,8231,8404,8582,8746,8936,9118,9307,9489,9666,9854,10045,10215,10406,10598,10797,10977,11165,11370,11580,11797,12004,12231,12414,12634,12852,13084,13338,13600,13866,14113,14354,14598,14875,15129,15400,15683,15997,16275,16559,16836,17102,17431,17678,17995,18300,18628,18952,19269,19638,20017,20376,20720,21075,21445,21815,22194,22568,22954,23357,23791,24187,24576,24979,25390,25842,26268,26723,27210,27691,28155,28631,29133,29680,30230,30831,31390,31926,32525,33145,33756,34329,34923,35507,36117,36726,37392,38006,38637,39355,40039,40724,41390,42096,42788,43526,44272,44972,45745,46502,47214,48013,48763,49565,50370,51162,51936,52787,53649,54496,55372,56312,57209,58058,58943,59818,60803,61743,62690,63709,64711,65697,66743,67786,68863,69965,71140,72285,73446,74620,75740,76936,78179,79352,80522,81798,83031,84284,85562,86802,88088,89415,90738,92112,93428,94730,96238,97650,99164,100648,102187,103721,105320,106990,108569,110240,111811,113493,115268,117070,118818,120588,122456,124342,126189,128102,130062,132118,134188,136257,138360,140441,142635,144841,146982,149265,151577,153883,156229,158622,161101,163633,166137,168707,171310,173859,176443,179122,181833,184539,187303,189999,192809,195601,198537,201460,204465,207513,210657,213748,216896,220026,223254,226604,229983,233320,236828,240276,243901,247426,251014,254589,258339,262008,265843,269743,273728,277729,281767,285761,289903,294150,298453,302809,307289,311836,316298,320741,325371,330116,334817,339673,344588,349519,354522,359500,364628,369863,375069,380423,385863,391145,396672,402317,407951,413747,419475,425410,431241,437061,443023,449131,455420,461565,467854,474233,480683,487145,493873,500547,507302,514134,521036,527950,535095,542266,549522,557086,564496,572208,579960,587695,595693,603782,611963,620091,628419,636966,645452,654061,662848,671915,680929,689891,699041,708407,717825,727467,737161,747084,757118,767189,777400,787606,798067,808685,819428,830197,840941,851882,862983,874118,885513,897067,908768,920660,932468,944539,956596,968496,980737,993156,1005645,1018322,1031090,1043724,1056660,1069814,1082982,1096362,1109704,1123112,1136589
1,1,1,1,1,1,2,2,2,4,5,5,7,8,11,14,15,17,19,26,30,35,36,45,50,53,65,73,83,91,94,105,114,122,128,138,148,154,164,175,185,198,208,213,224,232,242,253,265,275,288,300,309,315,330,343,350,366,382,397,416,437,456,476,492,513,527,545,571,589,609,644,675,703,726,744,771,806,835,858,890,920,955,983,1011,1035,1070,1096,1119,1152,1182,1204,1216,1243,1271,1295,1326,1367,1415,1455,1490,1531,1562,1613,1668,1709,1750,1818,1862,1917,1986,2047,2102,2158,2228,2307,2375,2429,2491,2546,2623,2695,2756,2843,2924,3005,3087,3164,3247,3347,3429,3512,3598,3699,3793,3865,3951,4037,4131,4236,4320,4401,4480,4556,4629,4714,4822,4913,5018,5124,5226,5319,5393,5498,5595,5687,5772,5882,5985,6089,6188,6287,6390,6498,6624,6728,6862,6995,7108,7247,7399,7526,7668,7806,7989,8133,8280,8451,8619,8784,8948,9154,9376,9583,9803,10024,10230,10468,10711,10955,11160,11393,11625,11865,12114,12358,12629,12868,13135,13407,13672,13925,14209,14526,14853,15169,15525,15828,16157,16486,16818,17167,17503,17836,18167,18488,18832,19191,19525,19876,20240,20569,20917,21220,21569,21922,22270,22629,22954,23303,23682,24053,24403,24781,25151,25517,25916,26267,26615,26992,27352,27743,28173,28595,29006,29452,29871,30275,30702,31154,31623,32070,32546,33021,33484,33961,34432,34899,35385,35905,36414,36890,37366,37869,38355,38857,39354,39878,40477,41042,41568,42138,42670,43226,43742,44334,44938,45556,46158,46796,47418,48047,48699,49344,49941,50569,51284,51934,52632,53319,54030,54704,55387,56163,56884,57718,58498,59288,60050,60889,61709,62507,63397,64250,65083,66012,66936,67853,68792,69733,70648,71601,72555,73567,74547,75538,76540,77489,78541,79597,80622,81695,82755,83850,84975,86069,87196,88323,89483,90650,91868,93081,94325,95568,96740,97985,99239,100581,101929,103315,104625,106034,107465,108868,110293,111810,113330,114894,116418,118030,119579,121192,122811,124414,126071,127766,129419,131078,132811,134564,136331,138182,140017,141831,143731,145719,147715,149761,151748,153823,155883,158027,160241,162363,164637,166955,169157,171452,173821,176143,178501,180936,183373,185907,188471,191164,193848,196556,199363,202109,204859,207679,210628,213605,216608,219673,222790,225953,229179,232391,235656,238820,242091,245497,248847,252270,255777,259312,262876,266534,270219,273885,277596,281404,285322,289172,293080,297122,301145,305255,309320,313508,317744,322064,326396,330892,335264,339853,344394,349113,353835,358562,363356,368195,373336,378456,383707,388792,394048,399340,404829,410288,415798,421339,427019,432641,438360,444269,450158,456008,461957,468128,474283,480498,486744,493249,499717,506208,512805,519647,526320,533340,540214,547234,554196,561513,568702,576194,583665,591223,598983,606773,614679,622788,631009,639285,647577,656097,664558,673265,682190,690994,700157,709353,718526,727908,737373,747051,756883,766893,776908,787211,797608,808124,818764,829681,840687
1,1,1,3,4,6,8,10,10,11,14,17,19,22,23,26,27,34,38,39,41,44,46,51,60,65,72,80,87,91,99,109,116,122,128,138,149,160,172,180,194,202,208,214,223,225,231,236,245,255,262,273,284,288,299,309,318,327,333,343,350,360,375,391,406,417,435,448,456,473,486,511,529,540,567,578,598,615,639,652,664,678,689,705,719,739,762,775,792,803,815,838,863,878,896,921,944,963,996,1020,1045,1068,1102,1125,1159,1197,1228,1267,1301,1339,1374,1406,1445,1474,1513,1569,1600,1655,1693,1730,1772,1813,1862,1899,1936,1971,2019,2060,2099,2141,2185,2218,2272,2316,2367,2411,2449,2496,2533,2571,2622,2664,2711,2755,2811,2854,2905,2943,2996,3046,3082,3122,3160,3205,3248,3288,3333,3394,3442,3509,3564,3620,3676,3741,3823,3881,3948,4031,4096,4162,4238,4324,4414,4496,4582,4695,4786,4887,4970,5053,5150,5263,5378,5499,5590,5670,5770,5891,5998,6106,6198,6312,6434,6532,6645,6771,6886,7011,7108,7225,7340,7453,7593,7727,7851,7989,8141,8267,8418,8577,8731,8895,9081,9292,9471,9624,9822,10014,10222,10444,10639,10859,11047,11274,11488,11736,11959,12194,12424,12652,12860,13115,13371,13624,13879,14141,14392,14667,14907,15172,15441,15711,15972,16244,16511,16773,17047,17314,17613,17897,18178,18477,18780,19092,19421,19750,20084,20417,20760,21092,21478,21865,22215,22618,23012,23417,23777,24165,24561,24946,25362,25775,26199,26613,27067,27485,27901,28343,28834,29276,29700,30127,30592,31046,31485,31933,32398,32938,33415,33942,34491,35028,35579,36137,36673,37213,37791,38333,38944,39542,40132,40772,41429,42095,42749,43418,44116,44804,45482,46227,46991,47693,48428,49203,50010,50805,51650,52484,53362,54282,55178,56058,56946,57834,58799,59738,60705,61675,62588,63533,64557,65571,66560,67561,68567,69586,70591,71618,72751,73860,74948,76053,77175,78333,79584,80829,82053,83344,84609,85936,87204,88486,89865,91184,92506,93857,95269,96696,98158,99648,101086,102581,104089,105614,107211,108774,110309,111867,113456,115027,116669,118309,119995,121646,123355,125134,126932,128712,130531,132408,134271,136203,138087,140007,142016,143972,146010,148109,150213,152214,154266,156385,158492,160707,162998,165314,167613,169902,172417,174752,177146,179643,182184,184770,187399,189975,192704,195437,198131,200880,203696,206591,209387,212283,215176,218210,221233,224226,227394,230560,233886,237135,240505,243874,247200,250596,254065,257478,260977,264575,268278,271912,275630,279375,283042,286926,290829,294730,298922,303037,307113,311312,315642,319994,324467,328837,333294,337771,342342,347151,351891,356914,361759,366744,371785,376907,381976,387157,392426,397716,403035,408531,413941,419415,425074,430932,436692,442800,448834,454830,460902,467021,473252,479526,485960,492368,499010,505636,512366,519219,526219,533316,540434,547528,554873,562362,569904,577540,585333,593135,601114,609352,617790,626220,634696,643321,652287
1,1,1,2,2,2,2,3,5,5,8,8,10,14,15,15,17,19,23,24,29,31,33,39,44,47,60,68,78,81,89,99,109,122,133,144,153,164,174,183,193,205,215,221,231,244,258,274,288,299,309,321,330,345,357,372,392,414,435,456,473,484,504,520,538,561,577,591,601,618,628,645,662,680,695,710,722,748,759,773,792,812,837,857,885,906,922,944,968,992,1024,1049,1087,1123,1154,1199,1223,1259,1301,1347,1390,1451,1505,1547,1597,1652,1713,1768,1810,1865,1921,1973,2020,2076,2132,2198,2263,2323,2378,2434,2490,2551,2600,2658,2728,2789,2863,2925,2991,3050,3135,3206,3270,3332,3400,3472,3555,3648,3733,3825,3920,4008,4088,4157,4237,4321,4420,4511,4602,4701,4796,4884,4987,5084,5180,5294,5388,5475,5579,5714,5809,5928,6027,6121,6218,6319,6445,6563,6686,6819,6948,7069,7211,7345,7484,7618,7754,7899,8051,8209,8331,8485,8646,8808,8962,9095,9236,9415,9585,9747,9927,10085,10260,10431,10623,10798,11017,11175,11365,11578,11753,11951,12125,12348,12517,12719,12968,13172,13413,13660,13915,14170,14406,14664,14905,15158,15414,15643,15928,16209,16510,16790,17094,17396,17704,18013,18311,18681,19016,19341,19715,20096,20447,20831,21200,21563,21933,22325,22752,23174,23594,24015,24441,24876,25314,25778,26261,26718,27181,27684,28160,28694,29194,29677,30193,30718,31242,31797,32295,32828,33372,33929,34459,34996,35600,36169,36787,37386,37991,38617,39269,39881,40492,41181,41846,42512,43211,43901,44540,45234,45916,46601,47251,47938,48637,49323,50074,50771,51496,52261,52998,53745,54517,55336,56146,56987,57797,58607,59390,60217,61039,61942,62784,63706,64589,65433,66373,67333,68279,69269,70235,71241,72263,73315,74408,75463,76547,77590,78715,79871,80960,82193,83356,84523,85729,86958,88154,89425,90757,92130,93503,94867,96237,97545,99072,100521,102022,103499,105005,106571,108083,109689,111281,112891,114484,116033,117643,119228,120882,122573,124341,126054,127818,129641,131428,133224,135132,137122,139092,141036,142961,144992,147042,149174,151298,153499,155709,158007,160388,162683,164968,167327,169784,172259,174812,177290,179799,182376,185086,187728,190391,193035,195862,198590,201417,204306,207176,210054,212957,215951,219006,222014,225099,228247,231493,234682,237883,241151,244490,247834,251359,254813,258289,261757,265265,268762,272300,276003,279719,283411,287285,291163,295084,299079,302970,306856,310889,314919,319054,323207,327396,331508,335900,340305,344586,349004,353563,358157,362656,367368,371969,376699,381655,386673,391705,396735,401922,407079,412510,417855,423347,429049,434748,440496,446491,452391,458335,464548,470772,476966,483301,489634,496177,502670,509363,516288,523124,529928,536918,543969,551079,558222,565612,572959,580522,588195,596014,603795,611793,619703,627819,636005,644304,652857,661535,670116,678936,687845,696880,706045,715409,725015,734504,744191,753957,763949,774092,784378,794684,805183,815674,826323,837157,848193,859166,870360,881680
1,1,1,1,3,3,4,4,5,5,5,8,9,12,14,14,14,14,14,14,14,16,18,23,27,28,33,36,40,44,49,54,56,62,67,78,90,97,102,113,124,134,141,154,167,177,187,199,213,226,239,251,261,278,289,306,323,345,355,370,387,405,425,447,477,501,527,544,562,584,606,627,651,674,706,733,760,775,806,821,844,866,890,915,936,962,983,1002,1017,1038,1063,1088,1107,1130,1157,1177,1205,1217,1232,1250,1269,1292,1322,1360,1385,1409,1431,1458,1483,1510,1546,1584,1623,1650,1681,1718,1744,1775,1807,1831,1852,1870,1908,1936,1955,1995,2022,2049,2073,2102,2130,2151,2183,2218,2255,2286,2318,2342,2369,2401,2438,2475,2504,2537,2568,2611,2657,2696,2728,2771,2816,2847,2890,2938,2988,3036,3089,3128,3165,3205,3251,3282,3321,3362,3399,3430,3459,3505,3535,3571,3603,3635,3686,3728,3767,3805,3848,3901,3945,3993,4050,4109,4172,4228,4292,4351,4414,4484,4542,4603,4663,4752,4815,4869,4930,4995,5082,5148,5212,5277,5348,5417,5476,5555,5600,5673,5737,5813,5891,5970,6052,6134,6199,6270,6339,6417,6491,6556,6623,6687,6754,6828,6904,6981,7069,7132,7222,7314,7388,7472,7566,7661,7750,7853,7942,8070,8176,8304,8409,8529,8644,8789,8922,9054,9195,9336,9462,9625,9775,9938,10094,10258,10433,10608,10794,10948,11100,11276,11461,11650,11861,12068,12264,12467,12660,12877,13086,13289,13515,13711,13942,14170,14430,14692,14926,15175,15425,15697,15946,16215,16479,16737,16997,17275,17572,17845,18147,18455,18725,18997,19301,19613,19903,20196,20476,20746,21073,21357,21656,21949,22281,22614,22947,23312,23663,23991,24347,24689,25036,25376,25706,26078,26416,26831,27218,27593,27973,28403,28790,29195,29594,29947,30361,30797,31245,31668,32141,32577,33015,33449,33910,34398,34853,35335,35830,36370,36927,37472,38026,38583,39151,39713,40255,40819,41370,41951,42558,43155,43722,44277,44896,45531,46129,46748,47361,48006,48654,49295,49981,50706,51384,52062,52729,53452,54150,54898,55653,56385,57146,57919,58711,59489,60292,61098,61888,62677,63433,64246,65035,65872,66699,67537,68430,69303,70211,71124,72022,72926,73869,74770,75698,76669,77668,78718,79681,80668,81716,82781,83830,84926,86051,87191,88386,89564,90758,91979,93243,94437,95683,96945,98338,99682,101044,102412,103862,105370,106841,108317,109905,111455,112964,114554,116112,117732,119366,121051,122653,124336,126098,127886,129635,131477,133324,135194,137226,139107,141092,143061,145104,147166,149257,151379,153446,155569,157746,160045,162305,164597,166909,169292,171574,173971,176402,178816,181175,183613,186140,188683,191235,193776,196330,198923,201557,204337,207043,209745,212672,215542,218384,221341,224332,227404,230432,233634,236697,239807,243069,246427,249824,253300,256680,260219,263673,267181,270823,274439,278106,281850,285620,289494,293383,297440,301619,305757,309737,313893,318021
1,1,1,3,5,7,9,10,13,16,20,23,26,26,33,38,44,49,51,52,52,59,66,76,90,98,109,117,124,131,138,144,151,161,167,174,184,192,199,203,210,216,223,232,238,248,257,265,270,276,280,287,290,294,297,300,305,307,309,316,320,329,333,339,344,349,358,365,373,380,383,395,404,418,430,438,449,455,465,476,481,489,504,517,529,540,555,569,584,598,612,625,638,654,668,684,701,718,741,757,773,794,808,824,836,859,881,898,910,922,932,950,967,985,1010,1034,1067,1089,1114,1150,1188,1217,1243,1281,1308,1351,1379,1415,1463,1526,1579,1621,1679,1735,1790,1854,1916,1981,2048,2109,2192,2271,2382,2472,2570,2651,2737,2831,2928,3033,3143,3252,3368,3471,3572,3686,3793,3899,4015,4117,4239,4366,4462,4596,4732,4862,4993,5110,5229,5365,5488,5614,5737,5848,5959,6100,6235,6368,6501,6639,6783,6916,7079,7217,7332,7465,7611,7768,7910,8064,8197,8334,8477,8616,8768,8931,9069,9234,9408,9538,9669,9816,9960,10114,10269,10406,10557,10706,10871,11018,11188,11372,11528,11679,11857,12046,12227,12415,12596,12810,12999,13217,13453,13697,13958,14190,14448,14736,15000,15297,15590,15897,16200,16528,16829,17157,17459,17788,18129,18450,18747,19060,19375,19685,19972,20284,20583,20905,21217,21491,21812,22107,22399,22698,23004,23301,23598,23917,24233,24560,24844,25196,25536,25886,26227,26549,26888,27243,27602,27986,28357,28728,29104,29479,29894,30280,30674,31070,31527,31934,32371,32786,33300,33761,34232,34729,35229,35688,36167,36689,37211,37701,38225,38740,39243,39795,40321,40886,41477,42055,42626,43304,43890,44481,45091,45724,46359,46957,47574,48217,48938,49632,50310,51059,51770,52486,53245,54043,54825,55611,56369,57161,57928,58749,59603,60493,61365,62319,63213,64123,64998,65841,66726,67704,68562,69497,70490,71465,72431,73385,74408,75391,76425,77466,78503,79554,80594,81707,82799,83830,84982,86157,87344,88558,89817,90970,92206,93491,94754,95934,97244,98580,99867,101178,102492,103816,105121,106385,107750,109071,110469,111822,113334,114775,116191,117700,119175,120640,122230,123724,125283,126926,128485,130173,131913,133682,135377,137042,138794,140588,142359,144160,146010,147829,149692,151624,153481,155466,157362,159356,161334,163335,165330,167532,169662,171797,173997,176144,178410,180761,183014,185369,187653,190079,192581,195093,197592,200132,202687,205244,207921,210575,213162,215902,218686,221475,224366,227190,230119,232964,235933,238912,241903,244861,248009,251190,254391,257766,261082,264392,267849,271321,274828,278430,282110,285864,289549,293252,297055,300878,304753,308573,312525,316507,320502,324561,328497,332587,336727,341000,345185,349596,353956,358400,362901,367389,371922,376528,381154,385881,390720,395588,400472,405441,410386,415368,420461,425701,430940,436218,441556,446961,452483,458065,463675,469349,475301,481182,487341,493377,499466,505766,511980,518273,524688,531137,537823
1,1,1,1,2,5,9,9,15,18,23,32,40,44,58,67,74,88,101,114,131,140,155,172,199,212,230,250,276,300,329,345,375,402,426,444,465,491,519,539,565,592,615,641,672,697,727,743,756,775,789,806,829,851,879,906,930,956,992,1011,1038,1077,1109,1147,1174,1221,1256,1293,1342,1380,1419,1459,1497,1536,1574,1619,1674,1726,1779,1827,1884,1962,2017,2086,2167,2243,2314,2379,2460,2545,2637,2709,2787,2877,2953,3053,3153,3257,3354,3460,3584,3682,3798,3896,3988,4102,4207,4318,4438,4569,4671,4779,4886,4998,5116,5208,5319,5422,5510,5596,5697,5787,5885,5980,6070,6182,6311,6427,6527,6620,6731,6823,6941,7062,7181,7327,7446,7567,7700,7886,8036,8181,8309,8474,8648,8810,8958,9123,9305,9472,9641,9783,9938,10100,10270,10437,10607,10767,10942,11091,11254,11409,11579,11757,11928,12097,12243,12429,12596,12766,12945,13139,13312,13487,13694,13883,14092,14307,14528,14759,14980,15226,15466,15691,15941,16197,16464,16717,16991,17238,17465,17746,18006,18302,18571,18845,19132,19431,19706,19959,20288,20590,20915,21215,21550,21882,22171,22510,22832,23159,23488,23852,24173,24537,24870,25206,25585,25944,26308,26732,27168,27567,27977,28371,28823,29306,29761,30262,30750,31305,31849,32376,32908,33491,34054,34650,35238,35851,36488,37116,37713,38394,39050,39744,40442,41147,41847,42594,43300,44018,44775,45519,46275,47032,47854,48652,49494,50300,51150,52004,52878,53720,54606,55533,56451,57364,58323,59299,60209,61189,62153,63139,64171,65136,66201,67195,68337,69359,70388,71529,72642,73765,74831,75969,77132,78226,79416,80629,81822,83071,84332,85566,86865,88123,89375,90714,91953,93234,94526,95854,97169,98627,100090,101491,102934,104405,105902,107319,108879,110483,112065,113645,115167,116760,118361,120045,121740,123411,125184,126960,128742,130623,132559,134381,136371,138337,140320,142330,144432,146560,148614,150700,152870,155039,157274,159689,162030,164373,166789,169231,171639,174001,176500,179030,181591,184238,186895,189594,192352,195176,198043,200869,203764,206697,209724,212749,215820,218978,222116,225316,228626,231852,235215,238551,241979,245473,249008,252573,256258,259958,263760,267598,271432,275388,279311,283303,287295,291534,295688,299969,304307,308695,313164,317638,322290,326905,331599,336270,341070,346108,351066,356167,361239,366435,371731,376987,382294,387645,393042,398561,403901,409543,415143,420791,426734,432683,438651,444746,450887,457170,463462,469903,476339,483015,489566,496027,502901,509737,516642,523541,530720,537823,545187,552756,560354,567895,575618,583386,591334,599081,607137,615114,623355,631490,639719,648311,656845,665469,674103,683044,692164,701163,710463,719849,729172,738683,748469,758304,768258,778415,788767,799363,809946,820818,831690,842363,853466,864574,876033,887568,899076,910889,922600,934771,946943,959171,971728,984036,996717,1009587,1022551,1035634,1048945,1062236,1075525,1089253,1102919,1116893,1131215,1145583,1160193,1174842,1189288,1204204,1219221,1234350,1249575,1265438,1281141,1297054,1312973,1329220,1345435,1361894,1378732,1395481,1412517
1,1,1,1,1,2,3,3,4,5,9,10,15,18,24,27,32,40,47,54,63,70,76,93,102,111,123,134,144,152,161,170,180,191,203,216,232,243,257,266,282,296,316,333,351,373,388,410,431,454,471,487,504,524,543,559,577,599,618,644,667,678,707,735,754,771,802,835,860,889,911,932,954,971,994,1014,1032,1054,1072,1088,1115,1138,1155,1180,1197,1213,1234,1246,1256,1285,1307,1321,1342,1358,1376,1394,1417,1433,1452,1458,1475,1500,1517,1532,1560,1576,1599,1622,1640,1661,1688,1720,1737,1755,1771,1791,1813,1831,1853,1880,1900,1920,1942,1965,1992,2015,2040,2073,2099,2120,2149,2174,2194,2216,2246,2276,2305,2331,2363,2399,2422,2449,2478,2508,2537,2568,2595,2616,2647,2685,2718,2763,2791,2819,2854,2883,2911,2950,3000,3032,3074,3116,3148,3190,3231,3268,3309,3353,3405,3455,3499,3549,3603,3657,3708,3766,3812,3868,3916,3970,4031,4095,4159,4211,4268,4316,4367,4432,4515,4583,4628,4692,4754,4818,4874,4939,5001,5067,5135,5197,5262,5345,5419,5479,5566,5646,5726,5807,5901,5986,6067,6163,6266,6376,6483,6584,6701,6819,6931,7067,7186,7312,7420,7536,7671,7793,7915,8050,8199,8338,8473,8612,8755,8857,8999,9133,9255,9388,9521,9648,9772,9899,10030,10151,10293,10447,10583,10734,10896,11038,11173,11323,11475,11652,11837,12011,12147,12325,12500,12671,12882,13047,13261,13451,13659,13890,14132,14359,14571,14810,15026,15284,15537,15757,16035,16310,16588,16860,17123,17384,17661,17969,18278,18575,18886,19236,19566,19916,20273,20640,20965,21322,21671,22053,22441,22810,23172,23555,23973,24361,24817,25233,25679,26142,26546,27001,27442,27901,28394,28828,29269,29716,30155,30580,31102,31638,32171,32700,33219,33770,34348,34869,35456,36089,36680,37330,37946,38584,39245,39941,40683,41372,42100,42818,43584,44335,45115,45849,46636,47470,48265,49082,49928,50801,51675,52588,53471,54347,55290,56183,57140,58126,59104,60089,61086,62130,63099,64070,65074,66136,67117,68173,69163,70172,71222,72268,73324,74341,75443,76524,77666,78874,80024,81289,82505,83714,84939,86208,87465,88785,90106,91445,92787,94159,95616,97183,98634,100138,101637,103122,104805,106415,108137,109772,111551,113347,115106,116885,118680,120509,122308,124114,125979,127890,129812,131822,133851,135891,137900,139989,142013,144133,146259,148506,150664,152944,155245,157552,159888,162298,164744,167225,169699,172143,174695,177331,180041,182686,185376,188034,190830,193704,196622,199510,202504,205439,208552,211690,214847,217970,221233,224507,227843,231158,234475,237871,241380,244837,248478,251976,255530,259175,262954,266660,270416,274283,278134,282008,285934,289974,293903,298008,301986,306112,310256,314436,318580,322927,327314,331686,335990,340417,345017,349681,354363,359103,363918,368705,373656,378598,383682,388887,394076,399290,404527,409978,415504,420933,426581,432169,437823,443680,449569,455444,461423,467597,473806
1,1,3,8,9,10,13,17,23,32,36,39,43,51,58,66,77,88,95,104,116,129,138,148,161,176,188,192,205,212,225,242,254,269,291,306,324,345,364,376,405,431,444,458,476,495,513,533,562,590,614,647,672,711,742,779,811,845,889,928,955,989,1032,1071,1113,1153,1192,1235,1280,1323,1368,1402,1451,1499,1543,1601,1656,1713,1764,1811,1866,1922,1978,2040,2113,2173,2246,2317,2390,2462,2541,2603,2666,2730,2789,2879,2953,3043,3132,3218,3302,3395,3472,3563,3651,3761,3886,3984,4089,4189,4313,4432,4546,4661,4784,4905,5034,5168,5280,5404,5509,5631,5742,5889,6034,6153,6274,6407,6545,6682,6833,6980,7124,7259,7395,7557,7704,7863,8032,8225,8421,8602,8782,8970,9168,9353,9548,9769,10001,10224,10460,10730,10977,11210,11458,11705,11969,12233,12494,12769,13046,13318,13581,13881,14170,14470,14763,15087,15396,15706,16073,16389,16682,16988,17269,17630,17967,18304,18627,18974,19277,19608,19941,20268,20653,20969,21345,21747,22123,22512,22867,23264,23707,24098,24509,24928,25402,25872,26301,26699,27169,27638,28139,28626,29061,29544,30015,30464,30940,31412,31893,32381,32874,33408,33957,34526,35059,35579,36121,36664,37240,37847,38461,39041,39649,40255,40853,41469,42098,42776,43419,44058,44711,45340,46013,46674,47326,48074,48776,49484,50244,50991,51764,52548,53350,54073,54934,55806,56666,57527,58381,59305,60191,61137,62078,63026,64065,65069,66108,67107,68183,69264,70359,71442,72610,73757,74904,76148,77356,78526,79826,81078,82400,83722,85040,86365,87709,89056,90456,91820,93231,94640,96203,97719,99298,100849,102450,104142,105846,107503,109181,110871,112618,114278,116049,117839,119582,121407,123293,125227,127051,128943,130913,132838,134809,136799,138817,140887,143001,145217,147450,149670,151885,154069,156371,158648,160999,163444,165923,168338,170838,173385,176032,178641,181253,183990,186697,189424,192243,195158,198025,201023,203983,206912,209887,212923,216126,219367,222617,225865,229076,232393,235757,239148,242670,246117,249685,253189,256678,260224,263995,267621,271336,275182,279079,283013,286978,291057,295176,299243,303401,307630,311885,316132,320458,324907,329315,333804,338441,343075,347679,352480,357381,362369,367375,372566,377662,382855,388129,393408,398972,404566,410059,415773,421507,427441,433382,439396,445399,451598,457891,464369,470955,477409,484060,490763,497588,504587,511542,518555,525877,533260,540548,548051,555611,563265,571225,579172,586952,595090,603168,611439,619730,628203,636708,645413,654207,663222,672194,681348,690565,699975,709539,719128,728756,738637,748795,758967,769229,779478,789806,800528,811254,822109,833082,844505,855692,867123,878670,890381,902185,913964,926132,938142,950558,962872,975403,988039,1000831,1013733,1026925,1040090,1053415,1067017,1080571,1094353,1108290,1122336,1136577,1150899,1165267,1179866,1194624,1209645,1224796,1240217,1255764,1271564,1287650,1303785,1319918,1336395,1352867,1369454,1386275,1403334,1420974,1438802,1456609,1474549,1492673,1511028,1529561,1548150,1567232,1586466,1605830,1625387,1645147,1665070,1685502,1706075,1726798,1747656,1768801,1789995,1811626
1,1,1,1,3,4,6,6,8,9,12,12,12,14,15,15,17,18,23,24,28,29,32,34,38,44,46,48,49,54,60,63,68,74,79,87,96,100,105,117,126,132,141,151,161,172,190,200,211,221,236,255,263,278,293,308,323,351,372,392,409,431,461,486,514,548,572,603,637,665,698,736,773,818,865,909,970,1018,1090,1162,1220,1277,1349,1415,1480,1553,1611,1687,1754,1827,1907,1980,2050,2120,2196,2269,2330,2396,2447,2518,2571,2630,2677,2752,2808,2875,2937,3013,3074,3151,3228,3314,3388,3471,3561,3670,3770,3878,3949,4052,4143,4248,4361,4484,4596,4713,4824,4942,5053,5175,5316,5435,5557,5682,5806,5927,6048,6199,6336,6469,6623,6780,6935,7110,7290,7485,7660,7853,8043,8262,8456,8670,8893,9127,9334,9578,9818,10025,10283,10532,10745,10977,11212,11453,11694,11928,12174,12412,12661,12906,13173,13440,13660,13910,14174,14433,14692,14973,15252,15511,15795,16081,16372,16684,16986,17310,17646,18009,18354,18715,19033,19373,19745,20089,20458,20850,21210,21569,21915,22293,22676,23027,23427,23828,24242,24632,25017,25435,25854,26306,26683,27127,27539,27992,28439,28866,29315,29778,30242,30691,31146,31652,32124,32650,33154,33686,34243,34803,35393,35941,36586,37174,37746,38370,38991,39666,40330,41021,41665,42351,43060,43830,44598,45332,46092,46862,47619,48421,49230,50067,50957,51875,52731,53598,54527,55427,56319,57254,58205,59168,60105,61110,62070,63046,63982,64953,66032,67084,68123,69179,70226,71317,72385,73479,74575,75721,76776,77951,79145,80308,81570,82794,84133,85366,86735,88023,89370,90749,92172,93485,94910,96284,97744,99214,100768,102292,103811,105364,106974,108633,110341,112091,113791,115531,117357,119182,121038,122898,124724,126606,128496,130549,132455,134441,136444,138484,140673,142879,144988,147176,149260,151535,153785,156146,158531,160974,163438,165736,168234,170719,173323,175941,178488,181091,183729,186274,188958,191561,194317,196963,199831,202665,205621,208522,211584,214652,217770,220917,224075,227235,230575,233932,237223,240714,244137,247720,251369,255061,258796,262630,266482,270266,274089,278168,282221,286365,290495,294617,298875,303219,307568,311942,316345,320875,325373,329903,334619,339274,343940,348747,353545,358472,363348,368377,373386,378566,383717,388946,394367,399853,405514,410880,416430,422013,427771,433481,439369,445261,451330,457384,463427,469558,475831,482240,488664,495273,501865,508581,515232,521881,528753,535670,542556,549674,556750,564010,571310,578775,586420,594188,602057,609992,617898,626124,634310,642579,651016,659598,668086,676972,686128,695311,704366,713643,723043,732493,742162,751898,761688,771901,782076,792287,802741,813385,824087,835110,845969,856908,867986,879175,890744,902447,914285,926184,938293,950516,962918,975443,987902,1000972,1014107,1027312,1040488,1053947,1067587,1081250,1095320,1109452,1123806,1138237,1152904,1167943,1182981,1198036,1213632,1229436,1245207,1261262,1277469,1293725,1310160,1327104,1343991,1361137,1378269,1395961,1413574,1431545,1449410,1467855,1486382,1504918,1523701,1542414,1561546,1580729,1600141
1,1,1,3,4,6,9,10,11,14,16,18,27,32,42,52,56,62,72,77,86,95,102,108,113,126,133,139,152,160,171,176,187,198,206,214,229,237,245,249,256,267,277,283,290,295,301,314,322,332,342,351,363,374,389,403,415,426,434,444,454,462,473,485,494,508,518,532,546,555,563,578,584,592,599,608,619,625,634,642,650,655,663,672,677,685,699,705,724,741,761,771,789,801,817,836,863,880,899,921,956,982,1008,1032,1065,1098,1141,1180,1224,1259,1286,1329,1368,1411,1447,1500,1537,1582,1643,1702,1751,1795,1844,1890,1962,2008,2072,2134,2190,2259,2317,2386,2458,2521,2590,2651,2723,2809,2904,2992,3088,3177,3270,3347,3433,3537,3628,3725,3819,3920,4033,4150,4269,4379,4494,4596,4722,4835,4961,5083,5207,5305,5431,5558,5657,5758,5881,5996,6118,6211,6313,6406,6505,6616,6713,6830,6930,7028,7128,7236,7341,7481,7612,7727,7852,7971,8102,8237,8382,8512,8662,8791,8924,9071,9218,9369,9503,9653,9799,9934,10079,10276,10404,10525,10689,10819,10973,11142,11294,11450,11575,11732,11872,12014,12167,12341,12490,12675,12826,12958,13120,13287,13442,13618,13799,13952,14101,14260,14427,14597,14787,14971,15169,15334,15530,15738,15931,16143,16332,16525,16716,16921,17115,17326,17530,17718,17923,18141,18364,18579,18810,19033,19282,19526,19772,20016,20280,20565,20849,21122,21435,21689,22009,22295,22627,22992,23320,23664,24034,24373,24704,25064,25430,25788,26192,26576,26928,27317,27683,28081,28468,28826,29251,29684,30116,30545,30968,31384,31798,32232,32669,33096,33516,33965,34396,34855,35338,35799,36258,36700,37153,37584,38096,38602,39052,39576,40063,40561,41036,41515,41997,42502,43009,43527,44066,44570,45064,45615,46095,46614,47144,47704,48261,48796,49350,49904,50506,51070,51656,52302,52967,53585,54273,54941,55577,56266,56907,57552,58222,58897,59654,60369,61088,61812,62496,63245,63944,64689,65486,66278,67024,67804,68618,69482,70279,71082,71934,72817,73669,74570,75499,76469,77414,78397,79400,80446,81477,82532,83663,84786,85928,87015,88122,89223,90432,91612,92863,94136,95394,96586,97850,99156,100511,101821,103143,104548,105887,107304,108684,110119,111603,113139,114685,116208,117701,119265,120800,122395,124060,125643,127306,128989,130711,132529,134290,136144,138042,139918,141899,143698,145574,147513,149486,151461,153565,155629,157703,159830,162024,164208,166400,168633,170892,173199,175552,177884,180241,182659,185143,187637,190220,192874,195407,197948,200509,203062,205675,208327,211040,213724,216438,219231,221985,224796,227655,230557,233399,236210,239125,242082,245010,247984,251115,254176,257371,260560,263707,266950,270248,273684,277101,280634,284198,287894,291522,295102,299007,302712,306733,310708,314641,318578,322634,326800,331028,335196,339500,343783,348021,352254,356812,361344,365851,370494,375043,379816,384637,389485,394345,399285,404263,409107,414162,419215,424446,429579,434810
1,1,1,1,1,5,6,8,10,12,15,21,25,27,32,37,42,48,53,65,68,80,90,95,105,117,133,145,159,174,186,200,208,225,236,249,265,277,291,312,319,340,360,379,388,410,422,445,468,494,509,537,554,569,582,611,642,661,679,698,719,732,755,768,778,799,820,839,854,866,878,901,912,923,939,948,966,979,999,1012,1027,1040,1052,1070,1094,1119,1142,1158,1172,1194,1217,1248,1268,1286,1313,1345,1378,1411,1454,1484,1514,1558,1594,1626,1656,1691,1737,1781,1832,1871,1920,1960,2015,2059,2113,2163,2200,2233,2294,2351,2404,2444,2488,2546,2597,2644,2693,2752,2833,2889,2953,3016,3069,3147,3215,3280,3366,3449,3533,3615,3693,3775,3857,3946,4059,4156,4259,4360,4456,4548,4660,4793,4927,5047,5170,5301,5426,5560,5715,5857,6002,6158,6311,6462,6624,6771,6947,7112,7264,7434,7592,7770,7941,8144,8328,8510,8702,8910,9113,9314,9507,9716,9911,10139,10336,10570,10810,11032,11240,11468,11680,11882,12091,12317,12494,12730,12947,13154,13352,13583,13815,14036,14261,14491,14741,14975,15191,15437,15637,15883,16117,16362,16579,16833,17098,17357,17601,17850,18139,18391,18702,18978,19274,19573,19872,20167,20450,20758,21023,21329,21633,21945,22264,22545,22847,23163,23506,23875,24225,24577,24902,25230,25583,25930,26279,26675,27074,27445,27824,28250,28667,29071,29476,29857,30298,30730,31158,31635,32105,32551,33020,33466,33933,34430,34922,35407,35931,36457,37007,37525,38101,38615,39176,39702,40260,40786,41329,41872,42463,43036,43594,44149,44758,45341,45917,46502,47105,47687,48336,48952,49587,50170,50853,51589,52260,52913,53640,54303,55019,55710,56432,57204,57942,58730,59520,60346,61134,61970,62787,63604,64432,65272,66128,67002,67928,68830,69755,70663,71629,72565,73510,74501,75517,76527,77564,78548,79653,80675,81703,82714,83859,84967,86089,87184,88301,89488,90648,91886,93060,94379,95624,96904,98175,99473,100779,102130,103521,104930,106226,107726,109137,110569,112013,113455,114898,116313,117851,119416,120945,122461,123979,125585,127160,128904,130662,132338,134063,135785,137520,139261,141003,142835,144737,146646,148583,150487,152371,154358,156394,158336,160442,162494,164556,166688,168766,170922,173155,175420,177681,180006,182377,184649,187112,189598,192026,194481,196933,199584,202178,204699,207370,210086,212766,215475,218224,221059,223948,226843,229824,232772,235891,238864,241907,245105,248196,251289,254599,257919,261318,264828,268376,271895,275504,279172,282836,286625,290506,294352,298143,302050,306003,309945,313999,318063,322152,326339,330534,334864,339124,343532,347935,352409,356922,361785,366488,371372,376118,381214,386209,391387,396627,401802,407135,412498,417870,423395,428903,434557,440100,445946,451849,457777,463800,470096,476570,483097,489814,496197,502870,509592,516279,523089,530126,537173,544271,551382,558636,565842,573283,580736,588281,595734,603538,611163,618939,626808,635028,643224,651518,659971,668479,677030,685600,694521,703344,712346,721448
1,1,4,6,8,8,9,11,15,17,18,21,23,28,32,37,45,53,57,60,68,73,82,86,91,97,106,118,131,140,148,158,163,171,182,191,197,205,211,219,221,228,231,238,245,246,250,254,261,266,270,275,279,284,286,289,293,299,307,309,313,315,322,339,349,365,375,383,402,411,427,443,460,474,485,506,526,548,577,605,635,663,695,725,743,769,797,823,859,886,921,952,984,1028,1065,1104,1146,1193,1227,1261,1298,1335,1373,1423,1460,1508,1558,1621,1664,1705,1750,1799,1827,1868,1908,1953,2007,2053,2100,2141,2173,2226,2266,2300,2353,2395,2440,2487,2528,2588,2626,2664,2731,2780,2831,2889,2948,3005,3051,3111,3175,3243,3308,3359,3431,3493,3561,3627,3709,3776,3849,3912,3982,4041,4109,4179,4224,4280,4338,4401,4462,4520,4565,4621,4701,4755,4809,4863,4918,4973,5019,5090,5137,5193,5266,5328,5399,5464,5543,5623,5709,5788,5854,5939,6030,6119,6209,6294,6388,6485,6577,6660,6759,6875,6982,7093,7172,7290,7399,7506,7601,7727,7844,7946,8055,8172,8290,8430,8572,8693,8817,8951,9079,9215,9329,9458,9589,9731,9851,9989,10140,10273,10433,10572,10727,10863,11026,11203,11367,11530,11693,11823,11983,12145,12312,12479,12646,12821,12960,13136,13305,13492,13683,13871,14087,14286,14491,14696,14888,15114,15349,15570,15776,16054,16317,16571,16808,17055,17292,17541,17792,18043,18357,18627,18931,19189,19469,19764,20072,20382,20702,20985,21302,21601,21915,22222,22567,22877,23203,23536,23877,24248,24615,24976,25336,25676,26023,26405,26755,27101,27474,27848,28219,28588,28957,29340,29720,30107,30517,30947,31342,31752,32176,32609,33033,33495,33960,34398,34836,35230,35689,36157,36618,37065,37560,38011,38478,38982,39448,39939,40448,40946,41449,42000,42514,43063,43645,44220,44798,45357,45974,46594,47240,47910,48569,49245,49964,50654,51325,52003,52684,53444,54197,55066,55830,56595,57413,58226,59063,59871,60674,61532,62353,63184,63970,64792,65672,66538,67457,68317,69240,70158,70993,71859,72755,73670,74587,75508,76457,77383,78287,79250,80241,81186,82155,83155,84198,85196,86252,87301,88422,89418,90494,91549,92574,93675,94826,95972,97108,98327,99552,100759,101938,103198,104436,105712,106905,108224,109570,110976,112410,113811,115217,116710,118157,119646,121163,122650,124219,125779,127398,129009,130651,132302,134111,135817,137637,139474,141482,143201,145056,146910,148821,150676,152700,154583,156481,158499,160540,162511,164608,166656,168745,170937,173123,175403,177716,179970,182267,184558,186906,189251,191672,194129,196704,199242,201798,204405,207141,209865,212687,215487,218297,221094,224055,226967,229869,232870,235917,238906,242009,245155,248396,251761,255186,258544,261930,265455,268926,272376,275946,279512,283184,286813,290536,294455,298355,302276,306309,310210,314315,318445,322590,326722,330870,335162,339582,344013,348431,352937,357558,362292,367109,371808,376666,381570,386534
1,1,1,1,1,3,4,7,9,12,12,15,16,18,18,21,25,27,30,34,36,42,45,49,58,67,73,80,89,93,107,122,133,146,165,177,187,200,215,224,242,260,278,296,310,331,353,376,401,431,453,477,504,531,551,572,602,630,652,679,703,736,766,801,827,854,886,911,941,960,991,1023,1055,1074,1100,1117,1145,1163,1186,1202,1222,1250,1270,1295,1325,1346,1381,1407,1445,1472,1508,1537,1581,1621,1660,1694,1748,1798,1838,1888,1949,1998,2052,2109,2159,2219,2277,2325,2394,2454,2515,2576,2631,2688,2753,2820,2893,2958,3012,3065,3129,3198,3260,3317,3373,3415,3472,3529,3592,3645,3699,3767,3820,3892,3957,4021,4079,4143,4186,4252,4327,4386,4440,4508,4562,4620,4685,4747,4800,4871,4941,5009,5068,5148,5216,5294,5361,5440,5513,5590,5681,5767,5830,5904,5985,6058,6136,6196,6276,6348,6414,6502,6595,6680,6786,6886,6987,7068,7150,7266,7389,7500,7601,7703,7817,7918,8035,8171,8286,8413,8553,8685,8843,8972,9118,9256,9395,9562,9751,9926,10101,10264,10417,10596,10790,10957,11137,11310,11489,11657,11836,12008,12214,12415,12626,12841,13059,13261,13467,13677,13890,14122,14363,14580,14811,15070,15338,15602,15846,16101,16336,16648,16935,17229,17493,17819,18133,18427,18730,19041,19347,19689,19990,20297,20628,20981,21345,21688,22018,22360,22727,23133,23503,23900,24301,24694,25141,25557,25988,26411,26829,27281,27694,28152,28640,29107,29582,30097,30587,31121,31650,32188,32737,33369,33954,34551,35148,35762,36323,36981,37647,38303,38958,39632,40313,41050,41735,42462,43154,43921,44613,45329,46069,46764,47516,48276,49045,49892,50739,51561,52384,53251,54135,55025,55919,56779,57737,58688,59674,60523,61505,62595,63640,64651,65700,66746,67857,69062,70240,71418,72625,73805,75064,76348,77632,78924,80167,81490,82941,84257,85665,87140,88634,90136,91629,93175,94658,96222,97840,99445,101038,102757,104351,106073,107723,109415,111151,112894,114755,116502,118392,120278,122168,124047,126061,128176,130268,132442,134705,136927,139197,141479,143755,146074,148428,150804,153287,155657,158101,160587,163156,165744,168301,170890,173596,176218,179041,181811,184508,187176,189891,192789,195580,198426,201305,204271,207290,210321,213403,216538,219681,222877,226000,229263,232533,235822,239192,242639,246123,249532,253051,256669,260435,264218,268054,271789,275540,279513,283502,287549,291571,295711,299885,304149,308523,312873,317286,321860,326421,331137,335783,340645,345460,350431,355409,360392,365578,370813,376072,381465,386953,392557,398022,403685,409369,415268,421269,427278,433293,439453,445709,452184,458529,465186,471915,478662,485580,492532,499690,506676,513743,521060,528294,535908,543422,551258,559193,567164,575305,583230,591507,599722,607950,616532,624970,633752,642532,651517,660545,669497,678738,687889,697363,707049,716818,726735,736933,746823,756954,767072,777390,787908,798810,809633,820498,831471,842514,853729,865269,876715,888130,899959,911698,923733,935774,948092,960886
1,1,1,1,1,3,7,7,8,9,10,10,15,22,23,23,23,24,26,36,44,46,50,55,58,68,80,83,92,100,109,115,129,141,152,165,177,191,210,233,238,259,274,287,303,321,340,351,364,382,397,417,434,452,470,493,513,528,551,571,588,608,626,648,669,692,720,749,780,802,823,856,882,900,929,961,981,1004,1035,1064,1087,1116,1140,1165,1187,1214,1246,1274,1298,1325,1359,1400,1430,1458,1487,1517,1546,1577,1608,1627,1669,1699,1731,1752,1784,1816,1851,1877,1903,1929,1947,1978,2002,2033,2066,2098,2125,2157,2192,2220,2239,2256,2284,2303,2323,2346,2361,2381,2409,2436,2458,2479,2502,2524,2550,2564,2588,2617,2645,2679,2705,2731,2761,2807,2833,2862,2902,2922,2942,2980,3009,3038,3075,3103,3141,3191,3232,3270,3317,3348,3392,3425,3470,3515,3550,3594,3645,3683,3736,3775,3805,3853,3897,3931,3962,4019,4078,4135,4185,4235,4309,4378,4444,4503,4586,4663,4745,4826,4906,4999,5094,5207,5323,5437,5553,5680,5800,5926,6050,6183,6305,6451,6595,6766,6916,7062,7193,7335,7485,7630,7801,7980,8147,8313,8490,8689,8871,9081,9258,9451,9656,9844,10029,10238,10471,10683,10902,11116,11329,11555,11784,12050,12276,12523,12768,13017,13293,13524,13790,14013,14262,14506,14774,15036,15308,15569,15823,16101,16385,16666,16936,17251,17515,17822,18123,18448,18779,19127,19478,19811,20148,20515,20869,21238,21637,22025,22436,22853,23265,23671,24036,24445,24864,25283,25723,26135,26594,27044,27483,27929,28358,28802,29256,29696,30146,30592,31032,31511,31951,32386,32842,33316,33777,34262,34775,35265,35795,36283,36814,37323,37877,38405,38932,39509,40113,40678,41255,41848,42416,43042,43667,44305,44971,45600,46285,46932,47591,48287,48982,49681,50424,51108,51824,52585,53358,54104,54869,55663,56445,57207,58003,58839,59646,60491,61373,62225,63035,63901,64741,65603,66519,67391,68350,69280,70274,71305,72235,73232,74284,75373,76480,77570,78680,79790,80944,82073,83340,84572,85856,87150,88477,89827,91219,92573,93896,95338,96761,98220,99642,101070,102562,104123,105657,107206,108803,110365,111959,113544,115158,116769,118459,120051,121793,123575,125329,127079,128913,130718,132561,134470,136360,138309,140279,142208,144175,146260,148352,150407,152525,154738,156885,159053,161273,163544,165960,168336,170749,173297,175829,178300,180884,183585,186189,188927,191585,194297,197106,199913,202793,205660,208624,211603,214561,217573,220650,223684,226879,230091,233314,236463,239781,243090,246434,249885,253385,256929,260431,264022,267629,271403,275225,279102,282964,286970,291062,295074,299153,303236,307498,311686,316046,320444,324830,329204,333776,338416,343088,347747,352524,357317,362333,367453,372528,377711,383013,388209,393493,398940,404345,409883,415516,421313,427157,433035,439021,444813,450862,457142,463461,469755,476180,482824,489425,496186,502908,509816,516806,523803,530912,538094,545290,552623,560104,567618,575186,582929,590847
1,1,1,1,1,1,2,2,3,5,5,6,6,6,7,7,10,13,17,22,23,25,27,31,32,35,39,43,51,58,64,77,86,94,105,119,134,149,162,176,187,204,221,243,269,290,321,340,370,392,428,462,498,548,586,633,678,711,748,796,843,892,931,967,1011,1063,1103,1157,1191,1231,1282,1330,1371,1420,1483,1528,1574,1619,1682,1744,1800,1859,1930,1985,2040,2093,2158,2231,2295,2348,2418,2481,2540,2623,2693,2761,2827,2882,2950,3034,3116,3199,3266,3342,3409,3494,3581,3677,3765,3870,3962,4047,4146,4242,4359,4479,4570,4702,4806,4908,5016,5139,5254,5377,5491,5593,5706,5824,5927,6066,6213,6346,6486,6629,6750,6875,7023,7153,7281,7418,7567,7727,7880,8021,8177,8341,8485,8614,8751,8881,9015,9161,9311,9448,9588,9712,9860,9979,10117,10252,10422,10576,10727,10893,11019,11168,11333,11474,11647,11798,11967,12116,12266,12447,12628,12808,12990,13166,13334,13520,13706,13929,14139,14373,14589,14799,15024,15277,15487,15715,15946,16214,16466,16724,17000,17267,17563,17812,18125,18417,18697,18991,19265,19558,19871,20183,20477,20798,21098,21431,21759,22081,22436,22779,23073,23425,23797,24140,24508,24849,25189,25567,25982,26367,26778,27135,27537,27953,28364,28803,29229,29658,30085,30511,30936,31378,31811,32292,32748,33178,33644,34153,34635,35150,35640,36159,36720,37237,37777,38346,38890,39431,40011,40613,41260,41902,42542,43199,43856,44565,45246,45878,46554,47245,47983,48699,49496,50269,51036,51777,52582,53432,54312,55206,56063,56932,57798,58744,59725,60678,61625,62569,63563,64563,65547,66594,67658,68772,69918,71098,72201,73335,74529,75638,76815,78060,79322,80568,81868,83172,84538,85877,87214,88493,89835,91149,92590,94022,95455,96954,98360,99917,101391,102843,104345,105890,107488,109036,110591,112277,113919,115594,117326,118944,120651,122364,124124,125871,127743,129464,131377,133195,135083,136934,138833,140846,142815,144799,146706,148734,150824,152805,154800,156878,158942,161068,163245,165435,167722,169971,172244,174538,176776,179124,181505,183953,186453,189025,191599,194207,196883,199458,202136,204833,207600,210292,213065,215811,218770,221700,224685,227715,230775,233762,236824,239960,243010,246216,249478,252795,256195,259661,263133,266708,270370,274040,277807,281701,285514,289437,293351,297247,301281,305418,309610,313765,318065,322413,326964,331463,336036,340545,345277,350093,354764,359420,364261,369118,373998,379016,384035,389188,394361,399543,404886,410185,415592,421167,426758,432512,438211,444031,450047,456097,462043,468312,474372,480771,487125,493683,500226,506983,513860,520686,527653,534731,541975,549418,556977,564667,572340,580176,588024,596046,603992,612261,620422,628944,637555,646243,655202,664156,673170,682522,691547,700910,710640,720363,730235,740178,750360,760654,771032,781508,792008,802855,813841,825072,836256,847700,859064,870572,882400,894512,906605,918782,931150,943773,956472,969212,982125,994927,1008300,1021711,1035140,1048666,1062494,1076349,1090321,1104680,1119041,1133834,1148571,1163420,1178456,1193418,1208614
1,1,1,4,4,7,9,10,10,14,16,22,27,30,33,37,38,39,39,41,45,49,54,63,75,91,97,110,125,138,151,170,193,203,217,228,243,259,276,292,312,329,341,357,376,394,416,430,444,462,482,496,510,536,555,582,607,641,675,700,739,771,798,825,856,902,943,996,1044,1099,1153,1201,1248,1299,1354,1410,1452,1501,1547,1593,1648,1697,1744,1809,1865,1917,1986,2059,2111,2182,2245,2329,2395,2466,2536,2603,2674,2740,2797,2851,2926,3002,3065,3139,3221,3292,3357,3430,3501,3579,3637,3727,3808,3887,3962,4055,4142,4245,4335,4433,4537,4643,4745,4851,4967,5082,5193,5315,5415,5500,5593,5691,5807,5932,6058,6165,6275,6385,6504,6612,6728,6835,6937,7058,7161,7283,7403,7519,7630,7723,7851,7972,8112,8262,8408,8562,8714,8839,8998,9151,9309,9455,9608,9769,9952,10149,10308,10482,10653,10849,11035,11266,11444,11661,11869,12066,12289,12492,12683,12888,13137,13352,13572,13766,13971,14183,14408,14613,14845,15070,15289,15500,15745,15955,16162,16370,16578,16811,17047,17309,17526,17754,18020,18285,18533,18737,18987,19235,19485,19731,19983,20232,20460,20707,20956,21181,21439,21677,21970,22256,22533,22810,23092,23358,23620,23870,24137,24419,24705,24961,25240,25548,25867,26203,26528,26864,27192,27502,27844,28175,28507,28840,29200,29580,29936,30330,30680,31064,31458,31844,32206,32618,33011,33443,33849,34280,34721,35194,35654,36097,36561,37051,37551,38053,38499,39042,39546,40057,40566,41085,41644,42233,42830,43401,44031,44679,45333,45997,46654,47337,48071,48780,49500,50240,50987,51686,52433,53162,53946,54723,55578,56398,57194,57960,58772,59585,60474,61317,62172,63078,63970,64829,65689,66580,67471,68425,69418,70366,71307,72309,73342,74374,75387,76480,77523,78671,79805,80883,82003,83155,84308,85485,86672,87806,89044,90246,91549,92821,94119,95428,96729,98109,99485,100833,102265,103685,105185,106664,108193,109760,111277,112864,114445,116071,117766,119469,121214,122974,124750,126575,128360,130225,132176,134136,136136,138148,140126,142210,144378,146519,148600,150870,153020,155301,157575,159912,162275,164684,167137,169645,172166,174606,177195,179902,182509,185292,187991,190855,193742,196683,199662,202617,205537,208588,211746,214900,218053,221351,224595,227957,231277,234673,238283,241699,245212,248832,252513,256198,259866,263717,267630,271754,275629,279663,283843,288122,292425,296683,300990,305392,309960,314563,319269,323995,328756,333688,338494,343535,348632,353886,359116,364410,369864,375367,381039,386839,392606,398515,404592,410587,416807,423247,429596,436029,442663,449470,456104,462905,469926,476894,484009,491305,498534,505902,513345,520950,528565,536450,544288,552283,560378,568664,576849,585157,593424,601939,610447,619316,628072,637049,646151,655423,664792,674300,684070,693775,703754,713645,723638,734083,744346,754870,765654,776620,787488,798679,810319,821595,833072,844786,856621,868751,880815,893010,905242,917860,930740,943811,956679,969791,983404,996949,1010626,1024375,1038355,1052504,1066935
1,1,1,1,1,4,5,6,6,6,6,6,7,7,10,15,19,26,31,36,40,50,63,71,80,87,97,106,117,131,145,158,184,201,217,235,265,291,307,333,360,389,421,454,476,521,555,607,657,714,763,808,868,917,961,1004,1047,1102,1147,1200,1256,1304,1347,1385,1430,1487,1528,1580,1623,1662,1717,1768,1807,1862,1916,1971,2024,2073,2123,2179,2234,2284,2344,2400,2450,2513,2581,2627,2686,2762,2821,2899,2950,3013,3072,3139,3209,3255,3336,3388,3452,3515,3580,3631,3681,3758,3811,3877,3948,4011,4074,4137,4198,4258,4300,4352,4397,4475,4528,4592,4651,4717,4777,4839,4899,4957,5030,5095,5168,5230,5311,5392,5480,5551,5645,5742,5835,5942,6030,6133,6241,6333,6440,6542,6632,6737,6846,6969,7098,7214,7347,7461,7595,7696,7822,7935,8046,8160,8271,8390,8501,8635,8772,8904,9044,9190,9332,9505,9691,9863,10066,10229,10398,10579,10737,10920,11103,11267,11456,11688,11876,12102,12299,12497,12697,12948,13159,13388,13612,13828,14059,14272,14512,14771,15000,15254,15518,15796,16080,16359,16648,16949,17263,17566,17885,18220,18540,18881,19183,19519,19841,20190,20527,20896,21251,21625,21967,22329,22690,23050,23454,23847,24273,24726,25116,25551,25994,26442,26929,27386,27840,28327,28874,29432,29927,30457,31032,31607,32213,32790,33444,34050,34667,35345,36050,36658,37345,38034,38753,39414,40152,40881,41614,42369,43076,43819,44578,45335,46080,46881,47693,48524,49350,50179,50984,51844,52711,53600,54471,55376,56309,57247,58226,59197,60192,61222,62276,63319,64409,65502,66585,67665,68800,69905,70988,72176,73328,74550,75789,76992,78226,79457,80687,81920,83226,84513,85846,87205,88595,89987,91413,92821,94303,95751,97237,98728,100238,101753,103312,104944,106520,108122,109802,111469,113193,114952,116630,118388,120159,121935,123735,125596,127509,129451,131438,133524,135500,137469,139542,141609,143746,145792,147989,150120,152375,154572,156861,159193,161564,163835,166224,168649,171066,173578,176092,178692,181291,183902,186487,189201,191958,194719,197432,200164,203048,205908,208774,211728,214674,217662,220672,223802,226945,230199,233389,236656,239911,243309,246737,250117,253526,256999,260555,264112,267795,271471,275128,278854,282660,286537,290440,294435,298464,302518,306608,310652,314795,319050,323430,327718,332144,336609,341033,345582,350158,354995,359786,364701,369731,374763,379691,384704,389756,395090,400420,405719,411032,416466,422028,427724,433486,439228,445063,451048,457034,463038,469187,475318,481610,488109,494727,501374,508029,514869,521686,528510,535395,542433,549555,556926,564169,571550,579010,586496,594107,601845,609599,617542,625757,633918,642211,650601,659077,667481,676052,684669,693327,702092,711018,720012,729084,738047,747344,756734,766209,775718,785409,795309,805323,815166,825197,835490,845738,856207,866735,877191,887925,898917,909872,921117,932356,943816,955337,967089,978892,990925,1002987,1015290,1027640,1040259,1052941,1065943,1079054,1092532,1105754,1119232,1132782,1146338,1160365,1174675,1189025,1203425,1217986,1232997,1247875,1262956,1278198
1,1,1,1,3,4,10,12,16,18,23,25,25,32,36,37,40,48,52,61,69,79,86,92,101,113,121,132,139,146,159,175,188,199,211,220,244,252,264,274,294,314,338,360,379,397,417,449,468,483,506,526,551,570,596,617,645,662,686,722,742,769,789,821,850,872,900,923,935,952,984,1007,1026,1052,1080,1101,1125,1147,1174,1202,1234,1267,1294,1319,1348,1370,1395,1419,1444,1465,1498,1525,1558,1585,1603,1635,1661,1691,1723,1744,1774,1805,1839,1873,1908,1939,1971,2005,2045,2092,2148,2184,2230,2273,2318,2383,2422,2462,2509,2551,2597,2649,2711,2761,2816,2870,2931,2987,3042,3098,3145,3196,3240,3291,3340,3369,3403,3445,3487,3520,3563,3603,3629,3672,3709,3765,3803,3854,3898,3947,4004,4041,4093,4156,4210,4256,4305,4369,4444,4504,4561,4620,4688,4746,4823,4867,4921,4983,5054,5125,5176,5241,5301,5391,5462,5535,5599,5659,5749,5817,5897,5961,6035,6119,6197,6274,6337,6401,6463,6530,6601,6690,6755,6833,6899,6993,7070,7156,7232,7305,7392,7474,7538,7624,7700,7782,7857,7920,8019,8094,8172,8248,8327,8414,8492,8573,8640,8720,8806,8907,8989,9057,9152,9233,9329,9417,9507,9590,9683,9765,9854,9957,10047,10180,10291,10386,10491,10605,10705,10836,10946,11087,11222,11339,11456,11605,11722,11872,12019,12166,12308,12471,12633,12789,12958,13131,13289,13447,13620,13788,13977,14180,14366,14570,14743,14937,15128,15301,15495,15710,15934,16130,16349,16564,16774,16960,17178,17392,17626,17842,18080,18321,18546,18789,19039,19323,19580,19795,20067,20297,20545,20797,21055,21329,21594,21863,22144,22425,22694,22983,23247,23563,23829,24112,24461,24769,25062,25340,25662,25977,26308,26613,26963,27319,27678,28028,28375,28726,29066,29397,29713,30083,30465,30842,31237,31648,32023,32428,32833,33231,33650,34067,34448,34880,35366,35821,36250,36734,37230,37653,38139,38624,39112,39624,40126,40674,41218,41767,42291,42848,43431,43990,44551,45147,45720,46301,46835,47419,48043,48656,49282,49911,50629,51333,52024,52775,53511,54241,54999,55774,56531,57360,58161,58982,59798,60651,61532,62385,63246,64112,65019,65949,66858,67798,68764,69741,70702,71682,72746,73841,74824,75921,77031,78135,79273,80472,81632,82798,83956,85217,86446,87725,88969,90325,91679,93071,94453,95795,97164,98548,99914,101427,102874,104327,105754,107170,108741,110280,111739,113354,114925,116553,118161,119796,121416,123100,124764,126460,128182,129950,131715,133552,135332,137159,138989,140858,142841,144809,146786,148785,150807,152944,155122,157290,159469,161613,163896,166242,168528,170850,173197,175646,178079,180569,183124,185628,188214,190859,193544,196193,198886,201596,204420,207255,210168,213016,215821,218691,221647,224604,227597,230665,233691,236806,239809,242897,246068,249244,252547,255911,259226,262739,266141,269607,273061,276576,280069,283731,287516,291256,295148,299162,303036,307112,311216,315389,319574
1,1,1,1,1,2,4,5,5,6,7,7,7,7,7,8,10,10,13,14,15,17,20,26,27,28,35,38,45,48,58,68,75,87,90,98,110,117,128,135,143,151,161,178,185,192,201,217,229,243,253,270,285,296,314,322,337,356,373,388,403,418,433,452,470,485,495,516,540,558,577,597,629,650,679,702,726,756,793,814,847,879,904,945,972,1014,1042,1073,1103,1129,1161,1197,1244,1286,1323,1357,1382,1419,1461,1506,1560,1591,1634,1684,1713,1764,1808,1871,1916,1963,2015,2066,2126,2181,2231,2281,2336,2395,2472,2532,2593,2656,2715,2783,2846,2904,2982,3040,3123,3182,3259,3329,3399,3471,3544,3629,3705,3775,3841,3929,4015,4086,4162,4251,4347,4450,4535,4647,4750,4850,4953,5048,5157,5253,5355,5471,5592,5709,5834,5939,6057,6177,6300,6427,6544,6667,6802,6946,7084,7218,7364,7514,7678,7852,8018,8209,8400,8572,8759,8960,9162,9349,9506,9695,9896,10091,10304,10483,10669,10875,11075,11261,11464,11670,11886,12096,12303,12497,12694,12895,13123,13343,13547,13760,13996,14226,14440,14666,14880,15128,15386,15648,15896,16119,16366,16612,16880,17156,17425,17723,18024,18295,18585,18898,19216,19556,19862,20196,20496,20804,21157,21488,21833,22141,22438,22766,23097,23434,23776,24159,24509,24861,25220,25565,25927,26295,26651,27023,27371,27712,28064,28445,28841,29248,29623,30003,30394,30777,31189,31593,32013,32398,32783,33196,33634,34052,34466,34902,35342,35801,36260,36718,37202,37684,38185,38703,39222,39691,40203,40748,41298,41815,42414,42993,43569,44110,44665,45239,45821,46448,47063,47701,48330,48930,49527,50149,50800,51476,52129,52776,53420,54032,54702,55313,56009,56653,57239,57867,58500,59125,59769,60445,61149,61857,62566,63271,63966,64646,65344,66064,66810,67589,68377,69148,69895,70702,71487,72317,73130,73935,74751,75607,76464,77358,78230,79075,79996,80929,81884,82861,83860,84860,85871,86924,87919,88917,89972,91032,92104,93173,94307,95435,96573,97736,98893,100115,101316,102506,103750,105021,106312,107611,108936,110280,111695,113108,114466,115891,117287,118694,120191,121739,123342,124884,126449,128096,129673,131265,132918,134530,136211,137918,139658,141470,143252,145059,146769,148667,150489,152331,154230,156216,158192,160162,162197,164153,166209,168321,170407,172513,174617,176807,178916,181157,183347,185649,188001,190413,192810,195319,197745,200093,202563,204982,207592,210208,212868,215552,218262,220982,223790,226562,229303,232208,235160,238097,241109,244158,247261,250310,253442,256683,259902,263165,266481,269783,273145,276662,280114,283583,287235,290856,294651,298496,302378,306266,310204,314209,318227,322364,326404,330623,334852,339195,343664,348030,352569,357144,361684,366428,371136,375856,380765,385690,390682,395481,400557,405749,410831,416026,421283,426682,432090,437762,443308,449054,454811,460675,466528,472541,478613,484782,490928,497395,503663,510214,516790,523483,530338,537214,544088,551155,558130,565232,572632,580144,587564
1,1,4,7,7,8,10,12,14,17,22,30,33,34,36,37,43,51,62,69,79,93,103,112,125,135,144,156,169,182,201,222,230,243,265,282,301,323,342,366,390,405,429,450,465,487,501,517,538,558,583,603,622,645,668,696,723,749,768,796,825,847,875,901,939,974,1001,1032,1061,1089,1134,1175,1212,1255,1291,1345,1394,1442,1492,1549,1583,1625,1676,1727,1779,1833,1878,1938,1989,2035,2088,2156,2211,2280,2352,2422,2497,2584,2661,2747,2833,2940,3044,3134,3209,3299,3384,3482,3559,3665,3758,3856,3954,4049,4151,4260,4369,4455,4571,4680,4790,4902,5028,5173,5309,5439,5596,5732,5852,5996,6146,6292,6446,6611,6772,6937,7100,7269,7428,7604,7786,7976,8163,8373,8560,8779,9008,9217,9414,9636,9843,10066,10288,10504,10713,10923,11164,11392,11623,11866,12120,12400,12648,12936,13182,13459,13771,14060,14359,14646,14952,15255,15568,15867,16155,16471,16798,17095,17424,17744,18076,18383,18708,18999,19350,19661,20019,20377,20715,21100,21465,21865,22226,22607,23006,23436,23838,24253,24684,25093,25544,25991,26478,26947,27451,27949,28444,28907,29385,29870,30425,30993,31515,32075,32644,33200,33800,34408,35044,35665,36260,36864,37523,38090,38752,39390,40120,40810,41512,42202,42913,43572,44265,45006,45742,46472,47254,48019,48775,49594,50390,51231,52020,52829,53679,54524,55378,56205,57048,57998,58917,59869,60804,61748,62713,63608,64579,65550,66561,67598,68617,69663,70689,71800,72869,74004,75131,76317,77491,78646,79811,81047,82281,83516,84788,86137,87449,88823,90146,91508,92861,94318,95788,97196,98696,100312,101834,103348,104900,106485,108108,109701,111355,113016,114643,116296,118046,119753,121580,123324,125165,127080,128953,130834,132776,134705,136615,138595,140693,142746,144810,146960,149101,151322,153516,155765,158104,160447,162853,165290,167867,170412,172915,175439,177988,180621,183346,186040,188843,191709,194553,197380,200343,203326,206372,209515,212605,215807,219041,222307,225653,228952,232343,235819,239310,242815,246431,250001,253607,257330,261125,264906,268732,272711,276744,280760,284871,288872,293042,297212,301451,305789,310231,314709,319106,323696,328351,333015,337869,342836,347716,352611,357667,362726,367948,373090,378376,383734,389240,394728,400271,405731,411406,417099,422897,428809,434647,440676,446876,453042,459221,465552,471941,478405,484857,491533,498319,505004,511773,518601,525639,532693,539984,547396,554945,562598,570069,577794,585664,593635,601573,609696,617854,626201,634534,642898,651632,660381,669204,678138,687260,696332,705715,715178,724728,734455,744375,754476,764743,775065,785444,795695,806300,817135,827914,839208,850552,861818,873353,885035,896906,909142,921433,933678,946243,959000,971718,984692,997947,1011162,1024540,1038033,1051869,1065693,1079861,1094036,1108486,1123158,1137865,1152523,1167552,1182696,1198278,1213602,1229057,1245075,1261256,1277369,1293765,1310455,1327401,1344657,1362037,1379559,1397143,1415095,1433116,1451446,1469786,1488695,1507372,1526290,1545528,1565025,1584568,1604574,1624749,1644775,1665271,1686181,1707332,1728423,1749774,1771420,1793248,1815369,1837555
1,1,5,6,10,10,14,17,20,22,27,28,30,33,36,40,44,44,46,50,51,54,56,60,66,76,83,91,94,97,105,112,118,126,131,140,145,158,168,183,192,204,215,226,236,249,262,280,293,307,321,335,355,364,380,396,413,428,450,474,484,500,512,524,543,566,585,598,612,631,641,654,668,686,697,713,728,739,752,767,774,782,788,798,811,819,830,840,848,862,866,870,874,883,889,895,900,908,914,921,928,945,952,961,975,986,994,1005,1015,1033,1047,1059,1086,1103,1125,1142,1164,1184,1205,1225,1251,1280,1315,1338,1374,1401,1433,1461,1481,1521,1543,1577,1619,1656,1691,1727,1750,1777,1811,1836,1868,1904,1932,1958,1989,2013,2041,2068,2095,2122,2153,2180,2208,2238,2265,2298,2333,2369,2417,2445,2471,2512,2536,2558,2578,2601,2625,2649,2676,2709,2739,2765,2792,2824,2852,2884,2912,2931,2963,2994,3031,3067,3119,3161,3202,3248,3283,3316,3350,3398,3437,3486,3523,3565,3606,3657,3715,3770,3822,3879,3932,3981,4038,4090,4143,4201,4242,4286,4336,4394,4439,4477,4528,4580,4623,4688,4734,4803,4877,4929,4993,5047,5107,5171,5226,5277,5346,5414,5480,5539,5608,5688,5762,5841,5910,6001,6080,6148,6224,6300,6386,6460,6555,6649,6751,6851,6959,7066,7173,7279,7384,7494,7614,7729,7874,7979,8107,8260,8414,8571,8718,8851,9005,9156,9335,9505,9650,9803,9948,10129,10284,10477,10662,10833,11002,11171,11331,11517,11684,11867,12045,12242,12436,12610,12800,13003,13181,13367,13558,13769,13955,14145,14339,14576,14774,14959,15151,15375,15598,15816,16018,16235,16456,16666,16894,17115,17337,17552,17789,18024,18266,18479,18729,18972,19191,19436,19690,19929,20172,20416,20688,20954,21204,21454,21739,21986,22236,22483,22717,22958,23185,23429,23682,23941,24195,24449,24725,24973,25240,25499,25735,25964,26241,26489,26760,27039,27317,27583,27862,28170,28451,28731,29025,29309,29622,29941,30280,30611,30953,31332,31709,32082,32459,32788,33205,33595,33981,34395,34810,35254,35709,36171,36617,37038,37490,37948,38413,38912,39421,39944,40474,40992,41531,42048,42602,43158,43740,44361,45006,45576,46198,46813,47443,48067,48725,49404,50048,50686,51379,52057,52800,53504,54285,55023,55761,56520,57285,58067,58845,59658,60463,61326,62147,62963,63808,64715,65631,66522,67429,68389,69314,70295,71305,72270,73253,74263,75335,76388,77490,78615,79785,80935,82103,83217,84478,85730,86930,88211,89532,90853,92177,93493,94879,96298,97748,99089,100483,101861,103317,104829,106395,107858,109453,111100,112725,114319,115985,117718,119419,121142,122885,124641,126480,128346,130195,132095,134040,135997,137972,140009,142047,144036,146088,148176,150264,152420,154503,156632,158887,161097,163310,165575,167823,170158,172464,174817,177186,179652,182087,184622,187139,189772,192418,195072,197855,200609,203436
1,1,1,1,1,1,3,4,6,8,8,12,15,17,20,21,27,34,37,41,47,54,60,72,87,102,111,119,130,141,157,170,182,196,212,225,236,254,272,292,308,319,336,356,378,391,416,432,450,471,493,512,539,556,575,602,617,636,651,674,693,710,728,754,775,811,839,878,912,949,976,1010,1043,1079,1129,1160,1198,1242,1289,1332,1378,1430,1492,1536,1597,1640,1703,1763,1816,1883,1955,2010,2090,2183,2257,2333,2424,2502,2598,2698,2777,2868,2963,3055,3137,3242,3335,3450,3573,3675,3785,3895,3994,4103,4224,4337,4452,4590,4743,4877,5023,5171,5344,5476,5623,5779,5960,6114,6249,6397,6560,6752,6919,7092,7293,7458,7618,7796,7984,8148,8327,8511,8688,8876,9045,9241,9453,9635,9833,10036,10259,10473,10661,10891,11123,11342,11569,11767,11956,12203,12461,12696,12951,13171,13444,13708,13938,14168,14408,14661,14911,15176,15449,15706,15954,16211,16505,16805,17090,17395,17682,17983,18298,18604,18922,19247,19555,19876,20212,20573,20924,21313,21632,21952,22319,22705,23094,23446,23840,24224,24635,25062,25495,25871,26271,26687,27100,27528,27937,28371,28798,29253,29691,30123,30569,31053,31551,32036,32510,32989,33484,34009,34531,35057,35602,36178,36732,37309,37850,38403,38967,39483,40046,40616,41238,41851,42436,43078,43676,44337,45031,45687,46361,47007,47636,48286,48936,49611,50294,51012,51735,52434,53185,53918,54697,55414,56170,56957,57710,58500,59271,60115,60957,61773,62583,63401,64356,65254,66136,67047,67938,68874,69821,70747,71694,72678,73654,74615,75653,76631,77634,78659,79667,80696,81769,82849,84022,85104,86205,87333,88473,89614,90841,92032,93237,94535,95826,97137,98476,99768,101126,102515,103944,105360,106855,108372,109826,111381,112925,114446,116037,117688,119322,120933,122588,124265,125983,127639,129300,130969,132701,134476,136285,137943,139851,141719,143590,145504,147407,149371,151366,153333,155368,157504,159594,161726,163878,166057,168307,170612,172853,175213,177665,180123,182686,185183,187720,190383,193030,195601,198303,200923,203727,206615,209475,212310,215221,218118,221100,224130,227191,230191,233358,236583,239863,243120,246354,249801,253253,256635,260170,263823,267389,271089,274845,278599,282417,286322,290227,294221,298335,302421,306662,310942,315298,319765,324478,329001,333709,338418,343316,348230,353279,358287,363363,368555,373940,379353,384753,390154,395706,401332,406925,412601,418482,424412,430233,436152,442158,448338,454531,460819,467307,473750,480254,487188,494025,500860,507813,514969,522115,529285,536819,544477,552053,559725,567818,575785,583942,592226,600520,608988,617450,626068,634742,643583,652627,661922,671237,680645,690079,699603,709246,719052,729119,739152,749198,759479,769720,780171,790703,801257,812156,823242,834543,845653,856856,868347,879942,891692,903364,915213,927220,939110,951395,963891,976393,989043,1002050,1015156,1028619,1042169,1055670,1069136,1082888,1097263,1111391,1125423,1140041,1154937,1169825,1184968,1200085,1215490,1231409,1247432,1263597,1279843,1296393,1313036,1329662,1346448,1363908,1381271,1398466,1416056,1434109
1,1,1,1,1,2,4,6,8,9,14,15,18,22,26,30,37,47,53,57,64,73,84,92,100,106,112,118,129,139,154,161,165,175,194,204,212,218,229,236,241,250,259,263,270,277,283,289,297,304,310,314,318,325,335,346,354,363,372,381,384,392,403,412,426,436,448,454,463,471,479,490,498,513,517,532,545,556,569,582,595,604,615,625,637,654,667,685,707,727,738,753,764,783,809,837,860,887,912,943,969,1000,1026,1045,1072,1104,1137,1177,1205,1232,1268,1310,1349,1386,1428,1454,1495,1546,1592,1639,1683,1731,1776,1820,1864,1905,1942,1995,2038,2082,2128,2192,2254,2302,2371,2434,2490,2551,2611,2660,2724,2787,2849,2922,2982,3040,3114,3179,3257,3314,3385,3459,3522,3588,3661,3723,3793,3859,3928,4000,4060,4123,4194,4257,4332,4412,4487,4564,4638,4720,4806,4908,4981,5058,5128,5226,5312,5392,5493,5596,5698,5798,5911,5996,6105,6210,6323,6446,6569,6705,6819,6952,7100,7260,7403,7536,7703,7861,8027,8166,8323,8488,8666,8851,9034,9240,9455,9638,9863,10048,10268,10506,10709,10903,11160,11368,11603,11857,12097,12353,12592,12839,13098,13356,13622,13840,14092,14347,14618,14878,15129,15390,15677,15981,16293,16598,16912,17212,17521,17791,18076,18375,18730,19020,19347,19691,20013,20364,20677,21048,21397,21757,22130,22482,22847,23187,23534,23895,24270,24636,25051,25488,25876,26295,26721,27111,27520,27925,28312,28736,29214,29659,30123,30533,30982,31432,31882,32345,32794,33278,33767,34241,34700,35216,35696,36191,36741,37277,37817,38330,38822,39361,39866,40451,41020,41594,42145,42727,43307,43910,44522,45126,45725,46344,46971,47567,48217,48884,49510,50179,50817,51481,52121,52769,53443,54151,54860,55539,56245,56949,57650,58425,59149,59917,60761,61537,62310,63137,63968,64871,65793,66725,67559,68458,69428,70360,71300,72308,73322,74320,75306,76325,77437,78527,79668,80760,81884,83057,84212,85375,86656,87909,89148,90411,91755,93132,94522,95915,97338,98846,100308,101769,103278,104755,106288,107866,109540,111090,112733,114382,116062,117723,119473,121225,122988,124828,126689,128539,130404,132435,134411,136361,138342,140309,142387,144452,146451,148657,150840,153092,155344,157552,159854,162189,164475,166669,168970,171342,173672,176068,178527,180884,183337,185865,188355,190891,193418,196020,198630,201257,203962,206787,209577,212519,215434,218411,221375,224437,227550,230711,233948,237282,240568,243926,247406,250881,254529,258271,261880,265609,269293,273162,277018,280865,284758,288614,292602,296627,300736,304872,309070,313322,317607,321924,326290,330644,335075,339495,343862,348457,353035,357694,362337,367176,371988,376913,381868,386969,392217,397482,402744,408073,413443,418895,424287,429893,435839,441759,447602,453675,459689,465855,472200,478289,484726,491059,497573,504161,510862,517559,524292,531324,538457,545563,552807,560061,567441,575035,582545,590193,598176,606149,614232,622500,630775,639012,647361
1,1,1,1,1,1,1,1,2,3,5,5,6,7,10,12,14,16,25,30,33,37,42,44,56,64,78,85,98,116,133,143,158,172,190,204,224,248,272,293,318,338,365,388,414,439,458,480,504,523,541,554,577,597,625,650,677,702,738,754,789,834,859,895,937,989,1033,1073,1121,1163,1203,1248,1297,1343,1383,1416,1465,1512,1558,1605,1649,1687,1733,1775,1822,1870,1919,1967,2008,2056,2103,2163,2227,2289,2343,2401,2463,2524,2603,2680,2745,2825,2902,2986,3072,3157,3251,3361,3444,3522,3615,3704,3809,3907,4023,4149,4238,4338,4469,4601,4726,4861,4990,5112,5250,5376,5500,5625,5769,5935,6049,6204,6365,6512,6663,6797,6947,7114,7262,7421,7582,7750,7899,8059,8234,8416,8579,8757,8944,9173,9352,9543,9737,9941,10182,10377,10608,10817,11055,11273,11520,11772,11999,12262,12512,12780,13050,13332,13612,13872,14170,14483,14815,15113,15423,15774,16098,16471,16829,17201,17595,17957,18384,18780,19235,19673,20127,20567,21009,21492,21935,22404,22819,23273,23740,24217,24725,25188,25713,26172,26662,27195,27669,28157,28671,29190,29735,30273,30828,31369,31948,32530,33106,33678,34245,34840,35469,36138,36761,37409,38027,38674,39295,39972,40659,41311,42017,42720,43370,44059,44799,45497,46236,46970,47665,48472,49210,49955,50667,51385,52137,52919,53702,54504,55266,56121,56931,57792,58655,59547,60464,61326,62242,63146,64074,64997,65931,66919,67902,68830,69853,70809,71889,73011,74064,75113,76161,77194,78295,79362,80462,81641,82776,83928,85137,86396,87611,88776,90064,91374,92754,94110,95448,96860,98243,99678,101170,102724,104245,105762,107308,108881,110480,112031,113574,115187,116878,118557,120162,121918,123647,125370,127136,128919,130736,132535,134401,136178,138149,140087,141937,143924,145914,147865,149856,151779,153842,155921,158010,160057,162262,164413,166557,168805,171126,173494,175827,178116,180471,182866,185160,187566,190034,192544,195081,197634,200214,202920,205558,208206,210905,213625,216341,219103,221968,224866,227732,230747,233688,236578,239673,242847,245999,249083,252357,255672,259041,262343,265764,269342,272939,276507,280234,284010,287864,291880,295782,299908,304042,308234,312477,316834,321324,325655,330203,334878,339620,344259,349133,353814,358724,363548,368519,373590,378761,383954,389167,394608,400032,405392,410983,416647,422203,427867,433632,439487,445502,451430,457476,463592,469796,476174,482634,489226,495818,502215,508963,515879,522691,529561,536670,543968,551267,558754,566320,573861,581634,589395,597255,605348,613553,621733,629968,638552,646983,655649,664488,673408,682578,691725,701130,710685,720227,729904,739655,749525,759541,769624,779690,790088,800618,811182,821937,832836,843858,855010,866239,877878,889325,900970,912631,924433,936548,948894,961398,974102,986888,999746,1012825,1026149,1039622,1053356,1067279,1081298,1095455,1109754,1123853,1138798,1153644,1168832,1184130,1199604,1215105,1231008,1247036,1263385,1279853,1296307,1312908,1329799,1346940,1364099,1381729,1399665,1417671,1435488,1453937,1472360,1490965,1509771,1528813,1548129,1567902,1587726,1607934,1627976,1648370
1,1,1,1,1,1,3,5,6,8,9,10,11,13,14,16,18,19,20,23,24,31,37,41,43,51,59,65,72,77,81,92,96,100,110,115,123,133,136,144,148,154,165,175,187,191,198,208,217,228,235,244,253,263,281,292,302,311,320,329,336,360,378,395,406,419,429,446,463,482,501,524,553,598,627,668,708,747,771,811,846,890,943,986,1038,1122,1184,1235,1291,1351,1426,1493,1566,1641,1715,1800,1870,1951,2026,2109,2186,2262,2339,2438,2501,2575,2653,2750,2835,2923,3020,3132,3245,3343,3433,3531,3630,3732,3831,3917,4022,4135,4221,4320,4423,4520,4632,4759,4871,4972,5086,5195,5309,5429,5543,5652,5779,5915,6058,6200,6342,6472,6602,6736,6876,7021,7142,7300,7468,7605,7737,7878,8024,8167,8335,8473,8623,8758,8884,9026,9157,9318,9443,9592,9728,9879,10037,10187,10343,10483,10631,10780,10937,11084,11253,11431,11603,11775,11965,12155,12323,12511,12702,12933,13124,13337,13544,13728,13928,14153,14389,14633,14886,15158,15408,15679,15945,16219,16551,16808,17078,17350,17635,17908,18182,18430,18733,19006,19279,19555,19833,20127,20408,20702,20971,21242,21552,21826,22103,22425,22710,23045,23385,23735,24071,24403,24705,25042,25356,25695,26022,26360,26690,27044,27405,27747,28097,28445,28838,29208,29590,29942,30332,30725,31106,31502,31889,32300,32683,33127,33520,33944,34416,34849,35272,35720,36211,36701,37188,37699,38159,38632,39087,39638,40175,40672,41182,41734,42286,42842,43416,44004,44543,45116,45751,46350,46929,47559,48149,48752,49435,50021,50721,51433,52108,52772,53476,54157,54890,55594,56345,57104,57898,58690,59430,60236,61029,61936,62798,63666,64571,65440,66386,67237,68113,68991,69924,70849,71790,72766,73740,74737,75704,76757,77776,78808,79901,80965,82075,83170,84289,85375,86507,87632,88845,90072,91245,92479,93677,94897,96159,97394,98752,100032,101350,102727,104016,105344,106698,108069,109426,110866,112321,113735,115182,116750,118296,119865,121414,122934,124519,126105,127708,129356,131012,132707,134384,136171,137967,139671,141576,143474,145366,147216,149120,151053,152943,154906,156920,158981,161129,163372,165596,167764,170013,172271,174564,176911,179298,181765,184235,186712,189233,191814,194280,196953,199560,202323,205074,207874,210683,213489,216387,219214,222102,225022,228024,231061,234039,237140,240227,243363,246539,249651,252927,256135,259330,262629,265995,269379,272862,276287,279751,283199,286733,290145,293764,297367,300953,304684,308444,312316,316205,320096,324001,328007,332111,336189,340227,344408,348794,353188,357582,362008,366489,371074,375749,380493,385364,390205,395190,400023,404992,410028,415131,420257,425485,430825,436289,441763,447133,452641,458340,464047,469907,475768,481710,487714,493848,499905,506224,512365,518672,525137,531528,537997,544565,551300,557972,564888,571773,578814,585991,593077,600241,607395,614773,622253,629794,637315,645006,652855,660677,668855,676853,685119,693516,701990,710694,719485,728282,737291,746472,755646,765116,774535,784178
1,1,1,4,4,8,16,21,27,31,34,35,40,51,61,72,84,95,101,107,114,120,132,138,156,167,178,195,202,215,221,232,241,250,254,267,281,291,301,318,336,354,375,396,411,433,456,487,516,546,582,623,654,682,717,748,778,806,830,857,878,904,924,957,985,1018,1042,1080,1116,1145,1170,1205,1226,1257,1301,1332,1371,1398,1444,1477,1516,1565,1611,1655,1699,1752,1813,1869,1951,2001,2054,2139,2200,2279,2364,2476,2585,2682,2779,2884,2988,3086,3189,3303,3404,3525,3627,3737,3851,3964,4080,4195,4317,4424,4547,4665,4775,4879,4993,5104,5226,5337,5474,5612,5710,5832,5954,6057,6177,6293,6417,6519,6652,6783,6907,7025,7144,7261,7404,7526,7650,7792,7909,8057,8189,8326,8446,8598,8758,8892,9025,9172,9333,9492,9643,9798,9971,10142,10315,10490,10669,10848,11031,11180,11349,11551,11779,11985,12193,12380,12599,12830,13055,13269,13503,13751,13980,14231,14460,14728,14968,15175,15444,15708,15973,16257,16534,16793,17037,17290,17521,17811,18087,18423,18719,19040,19371,19694,20030,20406,20757,21111,21536,21906,22274,22638,23051,23466,23881,24292,24732,25132,25564,26030,26436,26923,27428,27960,28437,28929,29419,29944,30471,30990,31576,32106,32662,33219,33806,34418,35022,35647,36245,36845,37501,38109,38746,39362,40024,40712,41434,42134,42828,43597,44367,45124,45913,46688,47505,48324,49161,49989,50877,51787,52645,53496,54397,55344,56309,57292,58253,59253,60268,61297,62363,63391,64502,65578,66656,67803,68973,70138,71267,72503,73745,74976,76202,77440,78764,80067,81428,82767,84095,85511,86883,88350,89841,91282,92789,94245,95820,97315,98871,100486,102084,103768,105428,107152,108954,110671,112497,114355,116238,118220,120139,122153,124127,126129,128211,130287,132479,134665,136923,139278,141594,143951,146361,148828,151328,153826,156391,158897,161544,164239,166947,169731,172507,175358,178150,181162,184050,186975,189940,193010,196167,199265,202341,205541,208864,212233,215610,219051,222609,226220,229866,233525,237206,240830,244619,248403,252217,256091,260041,264016,268091,272195,276272,280427,284685,288983,293473,297845,302375,306859,311577,316265,321100,325909,330746,335609,340684,345767,350863,356090,361458,366719,372158,377619,383078,388658,394415,400278,406179,412111,418287,424462,430727,437050,443346,449931,456481,463101,469983,476779,483854,490903,497769,504929,512219,519554,527096,534578,542206,549873,557804,565854,573962,582205,590332,598774,607344,616126,624928,633974,642842,652080,661458,671019,680584,690260,700004,709974,720046,730308,740507,751033,761523,772319,783073,793969,805054,816204,827346,838775,850213,861937,873956,886041,898307,910768,923515,936365,949496,962609,975747,989246,1002764,1016594,1030532,1044776,1059073,1073306,1088036,1102951,1117905,1133250,1148551,1164228,1180017,1196057,1212524,1228689,1245213,1262049,1279099,1296305,1313983,1331532,1349034,1366940,1385098,1403585,1422309,1441085,1459945,1478919,1498044,1517281,1536980,1556948,1577043,1597644,1618365,1638894,1659846,1681336,1702969,1724782,1746901,1769232,1791760,1814253,1837587,1860448,1884197,1907982,1931907
1,1,1,3,4,6,8,9,12,12,12,16,18,23,25,26,29,33,36,37,44,48,50,57,65,71,81,92,99,105,115,128,136,147,159,165,178,185,193,203,214,225,234,241,251,257,265,271,277,280,290,300,309,315,324,336,346,360,374,383,390,401,420,437,450,463,483,501,517,541,557,571,603,626,646,666,696,721,753,785,815,847,863,897,931,965,1000,1027,1056,1099,1136,1173,1209,1256,1302,1342,1397,1438,1483,1518,1561,1615,1663,1704,1751,1794,1828,1886,1938,1989,2048,2106,2175,2237,2307,2368,2443,2510,2600,2677,2755,2827,2911,2999,3091,3193,3283,3378,3489,3603,3704,3802,3899,4026,4147,4250,4361,4485,4594,4722,4837,4953,5087,5202,5312,5445,5578,5696,5829,5963,6073,6226,6348,6476,6619,6755,6877,7002,7128,7274,7409,7533,7686,7834,7963,8110,8277,8420,8581,8746,8897,9063,9225,9387,9527,9708,9895,10090,10286,10472,10669,10880,11088,11296,11515,11729,11931,12157,12382,12617,12852,13118,13366,13611,13876,14098,14375,14634,14916,15191,15474,15740,16021,16284,16556,16836,17145,17435,17723,18088,18402,18727,19043,19346,19653,19968,20316,20650,21037,21383,21747,22146,22471,22848,23224,23637,24017,24391,24764,25135,25500,25865,26276,26701,27153,27606,28079,28527,28982,29494,29986,30472,30973,31499,32073,32582,33150,33726,34275,34853,35428,36060,36667,37316,37969,38612,39309,39984,40680,41398,42097,42831,43496,44190,44885,45687,46414,47204,47928,48639,49408,50204,51020,51836,52615,53443,54264,55088,55980,56851,57757,58635,59516,60383,61256,62171,63095,63982,64918,65875,66841,67834,68905,69922,70929,72024,73084,74173,75239,76331,77478,78658,79777,80899,82038,83227,84433,85717,86993,88231,89435,90695,91982,93216,94392,95640,96942,98248,99552,100903,102251,103626,104963,106408,107870,109294,110711,112173,113662,115139,116663,118267,119864,121504,123117,124772,126449,128139,129957,131675,133450,135223,137017,138903,140721,142602,144567,146464,148445,150415,152471,154569,156687,158800,160910,163085,165295,167410,169670,171827,173962,176270,178532,180791,183037,185325,187697,190190,192612,195166,197601,200245,202724,205312,207875,210574,213318,216107,218968,221728,224674,227597,230546,233531,236585,239730,242832,245976,249223,252470,255767,259048,262396,265862,269295,272581,276036,279670,283244,286852,290692,294483,298255,302079,305926,309931,313907,317713,321739,325877,330001,334167,338368,342659,347052,351343,355834,360259,364708,369239,373855,378514,383230,388043,392630,397515,402327,407363,412362,417377,422498,427804,433049,438317,443705,449177,454640,460092,465843,471681,477751,483783,489893,496069,502396,508586,514962,521306,527719,534282,541065,547961,554857,561757,568861,576071,583319,591015,598630,606159,613803,621597,629437,637435,645683,654062,662488,670966,679428,688147,696994,705890,714959,724108,733329,742773,752325,761846,771715,781827,791895,802200,812642,823203,833857,844767,855766,866727,877789,889243,900943,912594,924500,936686,949003,961540,974051
1,1,1,5,5,7,11,14,16,19,20,22,23,29,35,38,39,46,52,56,62,69,74,86,93,106,116,124,139,150,166,178,197,212,236,257,294,316,342,360,388,412,437,463,491,515,547,576,597,622,645,669,700,724,750,778,806,842,867,897,933,963,990,1016,1046,1070,1098,1122,1143,1177,1207,1239,1280,1320,1350,1388,1431,1457,1493,1525,1557,1596,1643,1685,1717,1763,1811,1867,1909,1953,1992,2043,2105,2151,2199,2241,2297,2346,2399,2461,2507,2555,2616,2677,2723,2773,2820,2881,2940,2979,3034,3080,3131,3175,3227,3279,3342,3411,3459,3506,3553,3596,3652,3709,3768,3828,3894,3961,4036,4089,4143,4214,4288,4350,4421,4494,4592,4668,4738,4824,4912,5001,5085,5187,5276,5387,5477,5585,5704,5819,5943,6054,6174,6301,6433,6564,6688,6842,6994,7133,7290,7451,7600,7760,7911,8078,8244,8407,8557,8705,8869,9021,9198,9383,9556,9747,9935,10110,10283,10449,10607,10790,10956,11131,11312,11503,11705,11882,12071,12265,12470,12642,12839,13032,13214,13417,13599,13807,14052,14271,14496,14691,14911,15128,15368,15599,15839,16072,16319,16556,16795,17030,17285,17553,17834,18099,18335,18608,18858,19116,19351,19581,19816,20040,20266,20484,20700,20949,21168,21398,21610,21846,22083,22319,22540,22760,22980,23209,23449,23691,23922,24178,24407,24667,24906,25150,25424,25682,25951,26186,26453,26705,26971,27231,27510,27775,28045,28317,28581,28867,29130,29441,29710,29981,30259,30553,30872,31171,31461,31750,32035,32337,32652,32988,33324,33656,33985,34317,34636,34985,35307,35675,36004,36298,36684,37037,37407,37739,38130,38492,38854,39200,39551,39944,40295,40687,41073,41456,41840,42255,42624,43043,43475,43911,44373,44840,45309,45792,46304,46812,47371,47920,48463,49020,49567,50132,50668,51239,51809,52458,53080,53707,54307,54976,55629,56282,56947,57656,58375,59140,59865,60578,61335,62090,62872,63598,64378,65146,65906,66668,67487,68364,69229,70062,70850,71743,72649,73559,74418,75331,76223,77106,78023,79016,79946,80916,81847,82806,83786,84783,85745,86757,87803,88825,89839,90903,91981,93019,94121,95262,96364,97584,98722,99924,101221,102470,103706,104975,106289,107645,108988,110348,111747,113212,114590,115994,117532,119045,120649,122179,123662,125214,126839,128475,130102,131741,133448,135163,136863,138654,140390,142126,143901,145706,147506,149333,151209,153088,154999,157031,158985,161024,163043,165129,167141,169190,171287,173448,175612,177735,179952,182278,184589,186934,189248,191661,194106,196579,199111,201605,204137,206678,209257,211910,214521,217155,219780,222492,225341,228057,230826,233783,236714,239557,242606,245649,248693,251722,254967,258148,261312,264505,267784,271035,274349,277792,281154,284724,288182,291734,295384,299088,302882,306589,310498,314320,318213,322222,326163,330241,334465,338668,342964,347414,351769,356253,360799,365338,370053,374778,379618,384406,389233,394103,399128,404202,409379,414628,419768,424921,430365,435755,441263,446882,452695,458445,464192
1,1,1,1,1,1,1,3,4,4,5,6,12,16,16,20,20,20,22,33,37,43,48,57,64,68,76,82,96,108,119,131,145,153,157,163,175,187,193,202,212,223,230,236,247,255,262,270,280,285,289,294,303,305,308,317,328,335,345,358,365,381,389,404,424,437,447,462,477,501,522,537,560,575,604,642,666,694,723,752,776,813,840,874,906,936,961,987,1012,1033,1064,1096,1132,1158,1183,1202,1231,1268,1295,1332,1374,1409,1455,1497,1548,1595,1633,1675,1713,1762,1813,1851,1895,1950,2001,2051,2101,2152,2193,2248,2285,2338,2383,2423,2471,2519,2569,2613,2671,2732,2781,2837,2916,2976,3032,3083,3154,3209,3275,3343,3421,3501,3572,3659,3735,3829,3911,3995,4088,4156,4243,4330,4433,4515,4617,4708,4811,4911,5037,5140,5256,5376,5487,5611,5732,5852,5963,6098,6217,6350,6466,6613,6756,6916,7060,7208,7353,7504,7656,7802,7943,8096,8269,8417,8598,8764,8922,9083,9267,9440,9625,9803,9965,10117,10302,10476,10662,10825,10972,11113,11296,11487,11683,11898,12108,12323,12517,12713,12925,13122,13330,13587,13806,14022,14244,14473,14703,14960,15210,15465,15702,15949,16211,16486,16730,17000,17263,17545,17851,18171,18486,18797,19123,19426,19784,20161,20505,20901,21290,21656,22069,22447,22863,23281,23675,24108,24521,24931,25369,25758,26184,26657,27089,27532,27997,28453,28943,29422,29869,30384,30836,31288,31771,32269,32762,33250,33775,34252,34776,35286,35806,36317,36889,37430,37959,38496,39123,39724,40305,40922,41539,42133,42721,43344,43987,44635,45276,45958,46618,47290,48021,48712,49439,50131,50888,51611,52396,53145,53907,54695,55478,56298,57128,57910,58714,59573,60462,61251,62092,62904,63798,64717,65642,66568,67478,68408,69383,70355,71353,72373,73421,74496,75544,76553,77617,78724,79809,80873,82000,83210,84408,85634,86873,88106,89357,90685,92000,93375,94692,96080,97435,98865,100310,101752,103146,104613,106050,107554,108961,110511,112063,113612,115228,116751,118355,119995,121591,123287,124952,126676,128365,130056,131803,133619,135434,137266,139174,141181,143041,145021,147065,149138,151215,153425,155605,157774,160105,162396,164786,167165,169547,171973,174548,177079,179655,182249,184810,187411,190086,192715,195355,198135,200865,203618,206462,209384,212315,215237,218236,221227,224320,227510,230773,233975,237191,240538,243784,247178,250539,254024,257621,261022,264596,268275,272083,275930,279706,283597,287503,291503,295530,299615,303737,307913,312279,316696,321130,325633,330241,334762,339333,343973,348710,353403,358201,363049,367941,372853,377822,382785,387844,393089,398423,403752,409133,414595,420185,425698,431355,436939,442679,448502,454458,460376,466385,472520,478611,484874,491332,497709,504106,510809,517484,524230,530846,537763,544860,551989,559134,566356,573694,581349,588831,596458,604211,612160,620242,628257,636284,644634,653032,661515,669917,678424,687242,695976,704902,713963,723065,732379,741982,751449,761136,770868,780756,790659,800851
1,1,1,1,1,1,1,1,3,5,7,10,15,18,20,25,30,35,43,47,58,66,76,84,90,104,118,133,148,159,172,182,193,201,211,222,237,248,260,276,288,300,312,325,339,357,375,395,413,431,456,482,502,517,538,560,583,609,629,661,690,710,733,759,790,819,839,874,908,944,975,1006,1036,1071,1107,1142,1179,1222,1276,1324,1377,1422,1473,1533,1591,1665,1716,1784,1831,1885,1955,2032,2121,2209,2288,2365,2446,2534,2617,2700,2783,2870,2980,3078,3187,3294,3386,3500,3597,3705,3797,3901,4012,4102,4217,4311,4423,4521,4641,4742,4851,4972,5092,5217,5333,5463,5579,5722,5883,6026,6148,6280,6422,6566,6729,6875,7025,7164,7321,7479,7652,7849,8014,8178,8358,8557,8770,8960,9154,9366,9591,9810,10009,10232,10454,10668,10888,11109,11342,11584,11832,12100,12365,12618,12868,13156,13458,13748,14027,14323,14623,14902,15208,15540,15887,16196,16489,16784,17114,17447,17776,18111,18464,18812,19161,19503,19828,20179,20561,20936,21276,21646,22008,22377,22756,23147,23520,23951,24350,24727,25109,25551,25944,26343,26745,27163,27612,28107,28554,29001,29516,30027,30513,30981,31470,31976,32473,32963,33536,34073,34606,35187,35744,36303,36864,37411,38017,38589,39172,39797,40458,41083,41774,42432,43115,43794,44462,45158,45843,46550,47275,48021,48733,49478,50162,50901,51631,52401,53240,54043,54880,55688,56566,57403,58290,59193,60075,60956,61885,62875,63871,64844,65819,66878,67945,68960,69998,71087,72288,73396,74509,75671,76846,78002,79178,80391,81594,82833,84023,85234,86518,87907,89212,90603,92013,93466,94929,96459,97926,99434,101081,102638,104250,105931,107609,109293,111053,112829,114629,116504,118384,120336,122281,124242,126247,128275,130342,132444,134553,136732,138926,141182,143418,145706,148015,150398,152735,155179,157522,159879,162368,164880,167394,169969,172518,175088,177707,180301,182990,185663,188349,191123,193930,196868,199843,202883,205950,208939,212145,215347,218624,221985,225279,228711,232152,235679,239147,242866,246506,250211,253956,257828,261615,265503,269321,273459,277589,281652,285930,290182,294460,298852,303271,307633,312143,316699,321407,326113,330980,335868,340816,345909,351048,356199,361424,366628,372067,377584,383145,388756,394339,400171,405991,411848,417904,423972,430019,436149,442388,448742,455026,461469,468036,474664,481296,488172,495057,502255,509336,516564,523763,531132,538563,546143,553789,561604,569508,577415,585495,593645,601893,610281,618838,627406,636087,644589,653370,662373,671542,680823,690047,699390,708870,718557,728348,738361,748436,758557,768765,779142,789688,800341,811308,822113,832867,844061,855381,866719,878444,890156,901805,913844,926261,938743,951521,964109,976698,989782,1002839,1015957,1029381,1043102,1056823,1070885,1084863,1099058,1113452,1127776,1142369,1157197,1172086,1187136,1202388,1217944,1233484,1249045,1264911,1280990,1297179,1313537,1329896,1346588,1363510,1380607,1397849,1415377,1433014,1450859,1468806,1486925,1505379,1523766,1542538,1561745,1580894,1600513,1620092,1639779,1659812,1680039,1700511,1721062,1741719,1762861,1783889,1805432,1827028
1,1,1,4,5,6,8,11,13,16,18,21,25,31,33,36,38,40,41,49,51,57,62,69,78,88,96,101,103,109,118,125,134,146,154,161,175,182,191,197,202,207,214,218,222,228,232,237,242,247,253,258,261,267,270,274,282,285,287,292,295,298,300,302,309,315,326,336,342,348,353,359,368,378,387,392,402,414,424,429,440,446,451,459,466,476,481,488,500,507,518,526,537,547,555,569,580,589,600,611,625,638,651,659,675,695,717,734,754,772,796,822,834,860,882,904,924,949,967,987,1017,1043,1066,1094,1124,1145,1162,1181,1201,1224,1248,1273,1301,1335,1354,1378,1419,1455,1495,1527,1564,1620,1646,1688,1722,1775,1828,1877,1933,1991,2066,2125,2186,2247,2308,2363,2432,2506,2575,2646,2716,2778,2853,2936,3008,3073,3132,3211,3273,3360,3432,3519,3599,3697,3796,3885,3972,4071,4160,4254,4345,4449,4564,4681,4781,4907,5017,5120,5245,5360,5482,5607,5729,5860,5999,6144,6309,6449,6583,6746,6882,7041,7212,7387,7543,7732,7894,8074,8246,8409,8607,8792,8956,9163,9347,9537,9722,9944,10136,10347,10575,10780,11016,11225,11448,11652,11878,12103,12353,12567,12815,13106,13361,13624,13911,14201,14497,14751,15065,15371,15685,16035,16352,16701,17036,17382,17739,18114,18506,18879,19256,19608,19981,20361,20757,21147,21542,21945,22365,22782,23160,23583,24005,24429,24847,25305,25789,26265,26694,27178,27660,28217,28742,29249,29749,30228,30759,31255,31800,32317,32843,33403,33942,34475,35011,35559,36163,36742,37321,37890,38494,39071,39661,40308,40917,41538,42167,42799,43466,44187,44874,45602,46343,47104,47836,48686,49426,50206,51044,51842,52744,53628,54531,55483,56439,57448,58417,59419,60421,61427,62512,63549,64648,65734,66883,67976,69075,70244,71392,72517,73724,74919,76219,77476,78816,80189,81527,82910,84396,85872,87355,88872,90418,91983,93558,95179,96878,98560,100203,101926,103612,105443,107270,109082,110901,112700,114540,116474,118310,120168,122055,123975,125886,127793,129677,131632,133667,135739,137756,139853,141945,144035,146057,148285,150457,152752,155021,157323,159640,162017,164330,166682,169159,171682,174300,176893,179458,182088,184567,187302,189985,192568,195305,198057,200868,203733,206609,209586,212516,215591,218717,221779,224882,228013,231220,234463,237680,241079,244463,247939,251359,254842,258317,261893,265532,269197,272865,276527,280358,284134,288036,291932,295770,299789,303867,307901,312125,316346,320607,324899,329334,333835,338464,343179,347800,352476,357402,362335,367400,372347,377321,382515,387818,393145,398706,404259,409770,415345,420993,426688,432376,438200,444275,450234,456498,462547,468745,475174,481540,488089,494582,501182,507797,514612,521449,528405,535373,542573,549834,557154,564619,572094,579633,587412,595132,603075,611140,619183,627359,635553,644161,652972,661744,670574,679416,688490,697664,707004,716472,726074,735737,745639,755701,765935,776203,786512,796800
1,1,1,1,1,3,5,6,8,10,14,14,14,15,18,22,28,32,33,39,42,45,47,50,54,62,72,77,86,97,107,120,127,139,152,169,187,202,219,239,255,277,297,312,321,337,362,392,411,436,466,500,519,550,583,613,639,671,699,754,795,832,871,892,932,959,987,1025,1062,1099,1145,1186,1234,1265,1311,1348,1391,1441,1487,1526,1580,1626,1665,1715,1767,1808,1844,1888,1946,2000,2052,2108,2169,2224,2282,2326,2387,2447,2523,2587,2641,2686,2752,2802,2854,2903,2958,3023,3073,3117,3175,3260,3330,3400,3468,3532,3591,3648,3709,3767,3842,3921,3987,4054,4134,4211,4285,4359,4423,4494,4566,4633,4698,4777,4861,4948,5032,5105,5185,5271,5346,5423,5508,5619,5701,5785,5880,5961,6041,6137,6211,6293,6367,6454,6526,6622,6711,6798,6892,6976,7069,7164,7264,7367,7453,7529,7616,7712,7816,7927,8030,8136,8243,8343,8436,8549,8645,8753,8883,8997,9105,9268,9386,9497,9612,9728,9866,10003,10178,10335,10494,10660,10832,10995,11167,11340,11485,11644,11824,12004,12200,12402,12589,12762,12965,13165,13342,13534,13747,13941,14114,14323,14516,14723,14926,15126,15346,15560,15759,15928,16119,16321,16537,16706,16885,17067,17254,17445,17660,17878,18083,18316,18524,18728,18917,19138,19349,19551,19753,19954,20187,20439,20650,20878,21116,21362,21601,21850,22077,22328,22580,22816,23086,23342,23574,23804,24085,24317,24589,24840,25121,25368,25617,25883,26140,26417,26650,26915,27191,27434,27724,28024,28352,28605,28906,29177,29482,29772,30061,30385,30693,31022,31339,31695,32027,32354,32682,32983,33321,33657,33974,34302,34690,35043,35380,35752,36110,36473,36858,37272,37617,37991,38342,38699,39075,39432,39801,40199,40609,41022,41478,41862,42265,42691,43137,43567,43983,44394,44852,45325,45804,46265,46798,47273,47771,48264,48784,49319,49844,50356,50934,51517,52094,52696,53288,53899,54559,55177,55855,56556,57270,58041,58725,59424,60166,60927,61678,62503,63306,64141,64968,65824,66667,67567,68497,69433,70385,71309,72287,73291,74305,75297,76354,77397,78451,79521,80626,81729,82836,84020,85209,86360,87617,88795,90048,91338,92613,93908,95222,96497,97807,99150,100469,101848,103297,104830,106316,107813,109427,110939,112539,114131,115745,117345,118999,120613,122266,123999,125761,127510,129316,131097,132913,134817,136739,138728,140648,142616,144544,146561,148549,150522,152433,154471,156521,158643,160727,162886,165043,167154,169393,171591,173835,176141,178479,180925,183513,185987,188531,191021,193567,196312,199073,201879,204708,207502,210447,213255,216185,219127,222139,225107,228132,231196,234333,237477,240810,244093,247336,250615,253937,257396,260799,264368,267839,271428,274958,278619,282330,286087,289901,293699,297559,301648,305713,309795,313900,318128,322468,326718,331026,335437,339939,344458,349134,353820,358526,363318,368233,373045,378058,383247,388413,393573,398643,403910,409302,414754,420282,425784,431337,437159,443038,448850,454745,460815,466970
1,1,1,2,4,5,7,10,10,10,11,12,12,12,12,14,18,19,22,26,27,28,31,32,33,36,41,45,50,55,63,64,70,72,77,83,90,95,100,105,111,121,130,138,145,150,158,165,167,172,177,181,190,201,204,211,223,227,235,240,244,248,253,259,269,273,277,279,284,285,285,286,288,294,303,306,309,311,315,316,321,327,333,338,347,353,359,362,363,365,369,375,382,384,390,397,402,407,413,430,437,449,459,474,486,502,519,532,542,562,573,587,597,612,625,645,668,693,710,730,756,785,811,841,871,900,922,957,989,1030,1068,1111,1153,1199,1232,1277,1333,1372,1404,1442,1486,1527,1569,1613,1667,1703,1739,1786,1843,1885,1929,1970,2018,2076,2128,2182,2235,2292,2338,2397,2465,2529,2595,2674,2757,2840,2919,3020,3106,3207,3314,3408,3494,3600,3727,3844,3961,4072,4172,4279,4401,4512,4635,4728,4843,4969,5078,5209,5324,5455,5587,5715,5828,5976,6134,6293,6446,6594,6728,6881,7025,7189,7347,7506,7678,7846,8022,8200,8393,8556,8747,8927,9105,9293,9493,9704,9918,10121,10310,10542,10775,10991,11214,11480,11728,11988,12216,12473,12762,13025,13322,13615,13896,14227,14526,14845,15145,15485,15799,16092,16414,16764,17090,17421,17769,18104,18425,18758,19092,19446,19780,20124,20525,20922,21288,21694,22064,22443,22809,23209,23609,24004,24400,24782,25193,25578,25995,26433,26850,27264,27684,28134,28627,29092,29532,29990,30477,30954,31408,31871,32370,32860,33352,33837,34334,34870,35398,35897,36421,36948,37529,38085,38590,39196,39727,40307,40892,41486,42108,42783,43356,43995,44682,45366,46034,46701,47406,48156,48911,49706,50526,51342,52165,52942,53794,54650,55550,56421,57337,58294,59205,60170,61181,62155,63142,64134,65141,66193,67255,68338,69417,70466,71580,72683,73806,74911,76131,77340,78589,79773,81052,82341,83689,85054,86381,87754,89177,90607,92022,93446,94934,96460,98002,99625,101246,102913,104622,106364,108036,109772,111507,113299,115084,116880,118714,120636,122606,124514,126422,128437,130455,132508,134555,136615,138737,140808,142935,145159,147309,149623,151871,154137,156556,159020,161332,163878,166392,169023,171613,174242,176909,179680,182417,185287,188194,191110,194118,197061,199923,203011,206094,209353,212529,215720,219062,222456,225937,229426,233011,236657,240287,244047,247728,251462,255273,259131,263099,267197,271364,275439,279620,283858,288092,292479,296801,301310,305854,310501,315211,319896,324637,329457,334375,339273,344353,349502,354616,359838,365106,370366,375689,381062,386426,391890,397525,403164,408975,414745,420600,426465,432635,438804,444981,451179,457459,464022,470476,477043,483821,490787,497854,504911,512018,519396,526868,534090,541597,549299,557120,565131,572999,581135,589276,597520,605833,614305,622842,631606,640445,649312,658400,667813,676977,686391,695889,705555,715257,725169,735329,745689,755767,766068,776683,787193,797998,809049,820244
1,1,1,1,1,3,5,5,6,6,8,13,17,19,21,28,30,38,42,51,58,64,73,87,96,102,111,119,129,142,147,150,160,168,184,192,200,206,215,217,222,229,237,244,254,261,268,275,280,293,303,310,317,330,344,355,366,374,382,395,410,426,441,450,458,468,474,489,509,517,530,541,548,572,586,602,615,634,644,656,668,680,695,712,734,755,783,814,830,858,871,889,916,941,973,1011,1037,1077,1101,1120,1150,1174,1204,1231,1261,1303,1337,1367,1399,1439,1463,1494,1540,1576,1610,1642,1668,1713,1752,1792,1836,1885,1930,1976,2028,2072,2119,2170,2234,2289,2335,2395,2455,2525,2591,2650,2722,2786,2861,2941,3030,3104,3200,3284,3384,3480,3588,3671,3778,3879,3986,4085,4189,4283,4412,4542,4658,4763,4909,5013,5131,5252,5370,5498,5634,5761,5892,6032,6165,6289,6435,6582,6708,6851,6993,7165,7328,7488,7650,7839,8025,8200,8394,8596,8784,8987,9174,9404,9594,9815,10050,10296,10521,10743,10974,11248,11509,11739,11982,12215,12473,12714,12925,13188,13455,13730,13994,14237,14504,14805,15064,15355,15628,15922,16189,16460,16734,17030,17329,17604,17934,18255,18588,18890,19236,19563,19874,20181,20506,20823,21126,21484,21804,22147,22498,22815,23139,23466,23806,24136,24484,24878,25253,25651,26028,26411,26821,27187,27582,27998,28456,28906,29369,29803,30250,30700,31140,31610,32104,32653,33150,33669,34228,34794,35347,35935,36478,37071,37664,38189,38744,39327,39955,40557,41207,41858,42522,43174,43800,44456,45142,45831,46494,47232,48017,48721,49495,50263,50991,51770,52543,53290,54063,54850,55660,56489,57274,58097,58895,59694,60531,61352,62249,63155,64051,64886,65720,66597,67500,68459,69358,70325,71259,72210,73199,74196,75159,76171,77142,78056,79083,80124,81105,82166,83221,84306,85394,86508,87581,88682,89804,90974,92119,93310,94444,95630,96868,98053,99233,100546,101917,103161,104432,105742,107043,108359,109674,111015,112351,113744,115116,116480,117879,119346,120735,122224,123708,125214,126708,128222,129750,131323,132886,134456,136100,137724,139348,141019,142660,144348,146093,147779,149489,151249,152998,154914,156707,158498,160412,162345,164317,166303,168342,170349,172373,174422,176544,178706,180871,183012,185223,187537,189894,192161,194509,196928,199455,202006,204589,207178,209763,212408,215021,217802,220460,223062,225883,228599,231402,234322,237177,240016,242857,245764,248751,251819,254826,257897,260970,264187,267376,270475,273716,277037,280396,283739,287279,290723,294215,297811,301433,304954,308767,312437,316247,320071,323989,327953,331873,335886,340154,344229,348423,352709,357023,361428,365829,370316,374794,379313,383816,388385,393115,397832,402572,407352,412239,417038,421993,426959,431988,437097,442248,447394,452711,457984,463416,468841,474349,479901,485444,491018,496676,502418,508221,514110,520023,526058,532222,538345,544577,551008,557269,563705,570239,576851,583513,590441,597374,604477,611626,618787,626167,633491,640826,648341,656015
1,1,1,1,1,1,1,3,5,6,6,6,8,12,16,19,20,25,30,35,41,46,49,54,58,62,65,68,78,83,92,101,107,118,126,136,142,151,157,164,172,179,187,193,199,205,211,219,224,232,236,243,249,254,258,262,263,266,268,272,274,277,280,286,294,296,302,311,314,321,328,335,349,355,362,375,385,394,411,423,436,443,460,473,495,509,524,539,558,575,600,618,634,652,670,690,701,716,728,737,751,763,782,793,802,819,835,848,858,868,883,894,901,909,917,928,939,946,953,962,975,982,993,1003,1014,1029,1041,1055,1073,1087,1101,1120,1139,1156,1165,1178,1193,1210,1222,1234,1251,1268,1291,1305,1324,1337,1352,1369,1379,1393,1412,1421,1435,1445,1457,1470,1489,1507,1524,1532,1540,1546,1571,1590,1606,1619,1629,1642,1652,1680,1703,1726,1750,1781,1810,1845,1871,1907,1939,1973,1996,2027,2059,2088,2117,2157,2190,2233,2273,2309,2349,2393,2441,2479,2530,2578,2626,2666,2712,2770,2815,2871,2925,2998,3050,3107,3182,3246,3313,3383,3446,3505,3580,3655,3736,3793,3881,3944,4034,4111,4176,4250,4317,4404,4482,4566,4630,4724,4805,4898,5004,5089,5176,5265,5354,5447,5529,5611,5699,5776,5880,5986,6087,6204,6320,6427,6538,6645,6760,6880,7002,7120,7237,7382,7536,7653,7803,7942,8088,8245,8414,8551,8727,8909,9068,9245,9411,9573,9755,9922,10111,10314,10503,10654,10827,11009,11212,11382,11579,11786,12013,12216,12418,12614,12807,13012,13223,13434,13647,13868,14110,14318,14542,14803,15047,15299,15547,15788,16064,16295,16519,16755,17063,17364,17634,17920,18211,18498,18752,19048,19334,19640,19968,20312,20653,20988,21372,21770,22110,22482,22867,23241,23661,24099,24505,24938,25383,25841,26333,26818,27323,27826,28343,28883,29427,29977,30540,31135,31697,32285,32829,33403,34016,34662,35277,35882,36513,37113,37811,38466,39098,39774,40404,41120,41825,42576,43372,44037,44774,45544,46341,47124,47896,48723,49516,50313,51191,52079,52930,53755,54697,55574,56434,57264,58144,59047,59920,60861,61832,62798,63753,64730,65706,66703,67739,68800,69914,70966,72094,73243,74371,75583,76813,78059,79249,80584,81927,83249,84554,85832,87110,88413,89842,91217,92569,93996,95409,96872,98372,99945,101536,103118,104836,106484,108170,109906,111634,113403,115225,117021,118832,120648,122597,124518,126532,128440,130487,132545,134600,136740,138878,141031,143237,145455,147685,150061,152419,154709,157042,159368,161734,164140,166491,168927,171367,173877,176403,178971,181612,184274,187035,189768,192495,195354,198237,201036,203956,206870,209870,212832,215941,219049,222151,225356,228679,231952,235372,238750,242225,245652,249270,252863,256481,260231,264005,267871,271788,275749,279891,284011,288176,292362,296596,300922,305320,309820,314469,319095,323856,328601,333312,338274,343223,348378,353330,358564,363829
1,1,1,1,2,5,8,13,15,23,29,32,36,44,53,58,74,86,98,105,111,115,127,136,143,149,159,166,174,184,196,207,216,225,240,246,257,267,279,287,300,317,331,349,370,391,407,419,441,461,477,502,526,552,577,600,630,656,691,719,754,785,815,852,889,929,972,1005,1039,1073,1100,1145,1189,1240,1304,1352,1405,1450,1503,1572,1644,1709,1774,1840,1902,1963,2037,2127,2225,2307,2404,2510,2599,2699,2784,2870,2971,3070,3176,3281,3389,3513,3637,3738,3874,3990,4113,4223,4344,4460,4592,4702,4861,4985,5119,5244,5369,5514,5660,5790,5927,6071,6189,6333,6466,6621,6764,6913,7082,7224,7382,7506,7690,7862,8028,8202,8369,8529,8718,8898,9070,9238,9391,9555,9735,9908,10078,10237,10426,10602,10810,11022,11212,11395,11611,11826,12008,12193,12403,12590,12801,13036,13269,13506,13750,14006,14247,14515,14727,14962,15223,15494,15722,15963,16236,16540,16843,17088,17384,17650,17931,18168,18444,18717,19018,19321,19605,19903,20232,20504,20821,21136,21433,21741,22026,22339,22633,22948,23250,23576,23922,24216,24523,24846,25176,25517,25836,26132,26419,26732,27077,27409,27730,28031,28383,28721,29061,29402,29775,30108,30471,30804,31137,31519,31899,32267,32634,33019,33355,33736,34147,34567,34945,35388,35827,36285,36696,37115,37558,38031,38532,39001,39477,39981,40442,40929,41446,41980,42503,42984,43493,43996,44514,45043,45570,46182,46814,47410,48006,48622,49207,49821,50441,51139,51816,52503,53147,53845,54517,55240,55964,56620,57331,58066,58815,59559,60319,61113,61849,62598,63372,64203,65045,65860,66667,67462,68371,69237,70098,70929,71768,72625,73461,74354,75224,76125,77000,77906,78801,79720,80659,81599,82524,83479,84437,85436,86351,87388,88398,89397,90456,91497,92562,93659,94769,95834,96868,97991,99124,100238,101362,102508,103679,104873,106092,107290,108481,109625,110848,112065,113348,114571,115848,117174,118506,119766,121121,122540,123893,125290,126715,128123,129545,131065,132548,133947,135475,137024,138550,140083,141589,143163,144820,146411,148023,149649,151287,153010,154734,156496,158354,160186,162106,164013,166059,168184,170321,172406,174611,176741,178932,181137,183358,185607,187986,190427,192850,195335,197795,200276,202835,205448,208097,210767,213605,216461,219261,222080,225072,228047,231078,234038,237170,240345,243652,246924,250210,253512,256857,260197,263774,267190,270741,274324,277981,281774,285549,289221,293085,296912,301042,305125,309207,313418,317553,321791,326191,330622,335233,339907,344574,349171,353896,358682,363582,368571,373609,378925,384315,389604,395005,400401,405889,411566,417327,423225,429181,435187,441306,447612,453838,460206,466786,473283,479911,486541,493353,500342,507421,514704,521858,529292,536873,544592,552446,560300,568101,575925,584169,592678,601075,609752,618246,626984,635875,644828,653799,662801,672232,681560,691015,700561,710268,720100,729985,740088,750543,760785,771243,781642,792470,803289,814440,825531,836804,848523,860103,871672,883388,895523,907582,919653,932077,944576,957155,969966,982758
1,1,1,1,2,4,4,4,4,5,9,13,16,22,30,31,34,41,44,53,63,77,87,98,108,124,139,152,170,181,197,214,234,257,275,294,314,330,352,377,392,412,425,441,464,486,506,526,553,568,587,606,630,651,683,706,735,763,798,825,867,888,929,960,987,1013,1048,1086,1116,1148,1198,1239,1267,1308,1347,1378,1414,1459,1515,1562,1617,1665,1713,1781,1841,1902,1964,2033,2094,2161,2232,2313,2384,2469,2553,2642,2727,2794,2872,2960,3037,3104,3182,3266,3357,3446,3518,3619,3728,3840,3949,4048,4180,4301,4412,4534,4656,4797,4924,5062,5225,5380,5536,5699,5879,6049,6232,6439,6624,6818,7027,7245,7460,7683,7935,8165,8425,8691,8958,9239,9513,9781,10052,10328,10623,10907,11196,11500,11816,12118,12455,12760,13087,13440,13786,14169,14531,14903,15275,15651,16061,16460,16858,17276,17705,18133,18547,19017,19474,19894,20389,20860,21324,21849,22354,22877,23415,23874,24377,24891,25433,25970,26549,27141,27717,28295,28841,29399,30021,30613,31268,31897,32527,33161,33776,34428,35098,35815,36482,37139,37824,38534,39253,39978,40718,41417,42179,42908,43640,44389,45125,45882,46667,47464,48214,48996,49782,50586,51367,52205,52962,53755,54556,55408,56274,57206,58124,59015,59873,60769,61698,62677,63700,64717,65738,66797,67865,68926,69988,71099,72285,73495,74594,75737,76992,78170,79425,80748,81947,83228,84551,85816,87081,88467,89844,91237,92543,93898,95297,96763,98203,99590,101058,102601,104144,105667,107282,108903,110518,112169,113860,115558,117336,119083,120901,122785,124605,126517,128415,130373,132360,134416,136482,138564,140659,142713,144878,147178,149408,151650,153898,156212,158506,160825,163134,165537,167987,170359,172743,175231,177697,180115,182711,185197,187716,190281,192842,195479,198120,200898,203634,206287,208990,211807,214566,217577,220521,223385,226301,229391,232370,235526,238761,241955,245139,248403,251841,255216,258548,261992,265580,269114,272737,276441,280130,283944,287785,291724,295612,299650,303656,307650,311717,315879,320151,324421,328746,333204,337712,342145,346686,351367,356102,360703,365557,370326,375254,380203,385206,390392,395786,401071,406352,411812,417147,422713,428286,433948,439748,445638,451493,457521,463488,469698,475926,482117,488375,494842,501328,508011,514653,521445,528284,535460,542796,549946,557409,564788,572136,579698,587469,595318,603129,611307,619517,627822,636136,644555,652997,661669,670575,679577,688645,697795,706929,716347,725790,735312,745101,754943,764858,774912,785116,795527,806112,816676,827651,838647,849775,860861,872194,883551,895170,906757,918712,930755,943035,955222,967665,980076,992626,1005442,1018500,1031407,1044710,1058127,1071518,1085072,1098880,1112871,1127024,1141153,1155710,1170296,1185067,1199803,1214773,1230103,1245454,1260910,1276729,1292518,1308707,1324874,1341275,1357909,1374651,1391611,1408796,1425889,1443241,1460989,1478668,1496697,1514781,1533300,1551837,1570720,1589548,1608964,1628442,1647988,1667828,1687911,1707910,1728041,1748573,1769184,1790156,1811345,1832468,1854348,1876150,1897956,1920230,1942579,1965265,1988247,2011682,2035175,2058573,2082349,2106473,2130847,2155056,2179876,2204976
1,1,1,1,1,3,3,4,5,7,8,10,11,13,13,16,17,26,30,30,31,33,36,42,47,54,60,71,79,86,95,102,108,118,131,141,152,162,170,185,191,202,217,230,240,251,263,278,287,290,304,316,327,343,356,370,388,407,423,435,456,464,481,493,504,517,530,549,567,589,614,638,666,680,698,726,749,763,798,823,850,881,916,939,974,999,1038,1074,1111,1154,1208,1248,1291,1329,1370,1414,1457,1490,1538,1573,1625,1661,1713,1753,1824,1865,1902,1948,2001,2058,2120,2185,2237,2284,2356,2420,2490,2576,2653,2741,2815,2887,2953,3026,3109,3184,3288,3375,3472,3564,3667,3778,3877,3968,4094,4175,4260,4386,4500,4606,4733,4846,4958,5093,5230,5342,5476,5591,5704,5830,5963,6115,6265,6425,6574,6744,6896,7067,7207,7388,7572,7750,7934,8136,8290,8464,8669,8882,9062,9254,9456,9656,9858,10048,10246,10465,10687,10907,11169,11415,11652,11873,12121,12377,12636,12911,13181,13445,13755,14030,14288,14571,14879,15181,15483,15798,16123,16455,16811,17158,17492,17838,18153,18468,18772,19082,19368,19707,19994,20311,20617,20933,21259,21609,21966,22328,22666,23002,23351,23706,24073,24470,24831,25186,25590,25964,26375,26757,27177,27615,28024,28449,28868,29303,29746,30192,30649,31092,31573,32071,32552,33041,33493,33971,34477,34956,35491,36018,36600,37129,37692,38266,38839,39391,40001,40603,41250,41906,42563,43219,43893,44590,45232,45963,46644,47354,48065,48802,49621,50427,51233,52045,52834,53629,54404,55243,56119,56962,57837,58730,59655,60584,61497,62375,63342,64244,65198,66114,67103,68069,69120,70195,71304,72416,73512,74631,75729,76881,77997,79238,80373,81569,82788,83982,85198,86497,87738,89067,90344,91693,93085,94346,95764,97093,98506,99941,101363,102853,104311,105741,107184,108696,110192,111716,113182,114621,116198,117685,119282,120940,122654,124353,126157,127801,129570,131321,133075,134889,136675,138500,140399,142261,144270,146261,148219,150188,152209,154214,156276,158411,160574,162750,164942,167222,169477,171748,174053,176470,178852,181376,183908,186454,188897,191537,194097,196736,199427,202138,204897,207706,210548,213435,216347,219315,222361,225539,228568,231694,234852,238181,241383,244601,247973,251310,254779,258277,261807,265439,268955,272550,276221,279960,283717,287518,291449,295398,299330,303249,307350,311450,315723,320015,324319,328896,333299,337762,342297,346849,351614,356424,361360,366282,371446,376648,381831,387237,392695,398029,403540,409062,414621,420372,426089,431910,437663,443640,449709,455698,461984,468347,474797,481338,487708,494451,500976,507689,514464,521472,528493,535483,542522,549585,556769,564037,571359,578676,586098,593608,601212,609027,617016,625017,633097,641376,649838,658223,666961,675681,684332,693209,702305,711392,720484,729910,739312,748744,758602,768442,778256,788195,798599,808913,819393,829939,840684,851535,862621,873656,884924,896193,907653,918904,930607,942250,954241,966214,978399,990803,1003146,1015659,1028399,1041402,1054552,1068079,1081654,1095361,1109190
1,1,1,2,3,5,7,7,8,11,12,13,13,18,18,19,27,28,32,38,46,48,53,61,67,75,82,90,104,110,115,122,130,135,149,166,176,183,195,200,216,225,240,248,258,263,278,289,302,314,326,338,351,364,377,396,410,431,447,466,484,506,529,549,568,584,606,627,642,664,681,704,717,741,759,778,803,822,842,871,887,919,936,966,982,1000,1021,1050,1081,1115,1154,1185,1218,1247,1278,1314,1343,1380,1410,1447,1476,1506,1532,1572,1606,1633,1670,1706,1746,1772,1801,1841,1868,1891,1921,1951,1998,2039,2069,2101,2130,2180,2215,2254,2299,2348,2396,2449,2496,2542,2602,2661,2709,2783,2843,2884,2939,2987,3043,3088,3134,3168,3227,3280,3322,3382,3433,3485,3539,3606,3668,3731,3811,3892,3955,4032,4106,4194,4287,4374,4471,4552,4641,4747,4845,4966,5067,5189,5321,5444,5591,5701,5813,5956,6099,6207,6363,6537,6676,6809,6943,7076,7217,7352,7491,7644,7798,7942,8078,8228,8374,8526,8675,8838,8981,9114,9241,9386,9517,9670,9800,9961,10137,10284,10429,10567,10719,10873,11052,11219,11372,11541,11685,11852,12013,12155,12307,12461,12622,12788,12957,13118,13245,13404,13565,13717,13908,14094,14247,14404,14556,14732,14894,15054,15236,15423,15612,15806,16004,16214,16398,16585,16832,17038,17281,17523,17761,17979,18251,18474,18690,18960,19248,19535,19826,20070,20353,20629,20934,21251,21564,21851,22141,22460,22760,23098,23430,23777,24094,24403,24710,25027,25367,25690,26050,26390,26725,27079,27446,27813,28160,28528,28902,29258,29661,30068,30490,30867,31284,31689,32108,32552,32975,33447,33894,34400,34911,35406,35898,36441,37002,37582,38164,38761,39352,39944,40532,41120,41737,42361,42963,43621,44266,44936,45637,46333,47005,47699,48360,49108,49905,50670,51467,52209,52974,53775,54572,55311,56145,56960,57823,58721,59597,60474,61344,62233,63152,64145,65110,66079,67028,67988,69052,70120,71153,72144,73207,74243,75331,76460,77546,78708,79867,81016,82192,83419,84703,85943,87200,88513,89813,91128,92478,93776,95115,96506,97957,99411,100819,102326,103782,105354,106970,108634,110291,111989,113584,115290,117029,118758,120533,122307,124028,125893,127710,129622,131500,133444,135399,137433,139425,141491,143616,145735,147911,150046,152203,154350,156547,158811,161205,163532,165908,168361,170745,173220,175736,178289,180911,183513,186194,188923,191571,194292,197018,199921,202788,205673,208624,211658,214742,217956,221170,224376,227734,231050,234440,237894,241444,245004,248626,252221,256023,259754,263577,267454,271421,275447,279463,283632,287779,292176,296527,300892,305308,309729,314274,318973,323661,328446,333275,338201,343157,348120,353254,358413,363687,369011,374369,379914,385432,391008,396618,402280,408011,413708,419705,425811,431880,438105,444392,450763,457198,463665,470428,477196,483957,490933,498068,505140,512456,519883,527281,534787,542495,550360,558231,566234,574351,582583,590855,599316,607720,616456,625150,634046,643076
1,1,1,1,1,1,1,1,3,4,5,8,9,9,9,10,10,10,10,11,12,14,15,16,20,20,22,27,30,31,38,46,51,54,56,64,68,74,76,81,85,89,94,105,115,119,131,140,148,162,173,175,182,190,195,203,209,213,217,223,228,241,246,248,249,255,258,264,274,278,285,292,301,306,309,310,321,327,336,347,358,365,373,383,401,413,429,442,461,478,503,524,539,560,581,596,620,639,660,693,708,736,769,803,831,864,889,923,959,995,1018,1053,1084,1120,1160,1185,1218,1258,1301,1337,1372,1411,1456,1492,1527,1556,1584,1605,1643,1699,1756,1801,1851,1898,1946,2007,2055,2109,2159,2215,2280,2342,2406,2480,2544,2609,2683,2744,2808,2867,2926,2984,3052,3131,3199,3272,3350,3423,3511,3575,3643,3734,3816,3884,3969,4061,4146,4251,4359,4461,4568,4695,4834,4954,5076,5193,5315,5458,5599,5749,5882,6004,6155,6280,6436,6579,6715,6865,6999,7152,7300,7454,7584,7724,7865,8001,8147,8288,8439,8595,8755,8901,9087,9284,9452,9604,9788,9941,10111,10265,10435,10605,10802,10963,11139,11321,11477,11663,11832,12028,12190,12351,12529,12701,12876,13050,13244,13439,13627,13818,13987,14174,14370,14569,14760,14983,15186,15392,15601,15793,16021,16229,16453,16689,16914,17146,17361,17595,17823,18122,18380,18647,18941,19254,19561,19869,20155,20490,20780,21077,21414,21761,22134,22527,22904,23249,23642,24032,24386,24752,25137,25526,25905,26284,26683,27095,27509,27927,28368,28813,29273,29725,30190,30668,31105,31585,32079,32533,32985,33456,33931,34432,34875,35355,35861,36337,36890,37391,37944,38528,39102,39652,40230,40827,41397,41973,42487,43069,43640,44273,44845,45461,46080,46685,47322,47941,48548,49224,49893,50568,51274,51994,52684,53385,54090,54823,55553,56316,57051,57787,58567,59348,60136,60888,61698,62527,63370,64221,65077,65943,66821,67728,68675,69577,70514,71530,72522,73539,74574,75629,76632,77669,78748,79816,80907,82022,83194,84376,85564,86751,87962,89237,90497,91831,93180,94577,96027,97440,98837,100349,101824,103299,104809,106336,107947,109558,111168,112761,114482,116093,117807,119470,121230,122982,124678,126499,128332,130173,132052,134020,136044,138030,140040,142074,144165,146253,148401,150545,152745,154974,157218,159396,161663,163960,166280,168641,171140,173631,176110,178758,181364,183946,186549,189295,192058,194802,197526,200343,203248,206125,208995,211937,214802,217776,220814,223916,227058,230284,233550,236824,240256,243649,247088,250645,254234,257896,261494,265231,269066,272981,276848,280909,285133,289270,293533,297804,302044,306486,310869,315469,320015,324591,329429,334237,339021,344049,349164,354422,359632,364930,370347,375851,381457,387145,392911,398716,404863,410904,417172,423409,429672,436149,442578,449164,455814,462496,469263,476275,483060,490215,497355,504680,512159,519709,527182,534760,542501,550392,558303,566559,574883,583316,591750,600372,609176,617954,627043
1,1,1,1,1,1,2,4,8,11,16,18,21,25,39,45,50,59,66,68,70,75,76,80,84,90,97,113,126,135,145,153,166,172,185,192,206,214,225,235,247,255,266,282,294,306,319,336,349,368,388,402,414,435,453,476,495,523,544,572,598,623,657,685,721,753,789,816,846,876,904,930,958,979,1005,1040,1069,1102,1137,1166,1200,1232,1249,1269,1297,1321,1347,1377,1401,1424,1445,1466,1486,1510,1534,1543,1560,1576,1596,1614,1634,1639,1646,1668,1682,1697,1719,1741,1757,1785,1801,1811,1821,1839,1860,1885,1911,1934,1960,1979,2001,2038,2073,2103,2127,2161,2205,2238,2270,2307,2345,2370,2408,2442,2483,2515,2545,2580,2608,2648,2687,2736,2772,2819,2852,2893,2929,2957,2994,3024,3066,3099,3134,3179,3217,3263,3292,3337,3371,3421,3463,3516,3577,3625,3676,3728,3773,3817,3866,3930,3987,4046,4104,4175,4248,4310,4381,4460,4535,4593,4660,4740,4834,4916,5007,5077,5159,5247,5343,5437,5545,5654,5750,5838,5959,6057,6177,6282,6388,6500,6591,6709,6813,6942,7060,7145,7265,7370,7490,7607,7726,7846,7987,8113,8245,8375,8506,8615,8737,8869,9017,9170,9322,9458,9605,9747,9892,10048,10209,10395,10573,10750,10932,11141,11325,11489,11671,11851,12058,12286,12500,12700,12914,13132,13353,13567,13811,14026,14238,14477,14686,14929,15196,15472,15731,16022,16291,16606,16855,17146,17423,17733,18068,18368,18701,19001,19357,19714,20079,20460,20863,21274,21666,22088,22501,22956,23421,23886,24335,24786,25262,25715,26197,26650,27109,27624,28105,28654,29172,29689,30222,30745,31330,31853,32442,32982,33528,34078,34600,35142,35731,36311,36907,37509,38111,38707,39304,39925,40499,41115,41773,42377,42997,43662,44313,44921,45606,46270,46916,47588,48257,48929,49620,50365,51098,51856,52571,53284,54048,54816,55586,56346,57134,57891,58733,59468,60212,60990,61808,62653,63530,64402,65221,66035,66884,67809,68678,69596,70467,71394,72360,73254,74180,75152,76116,77097,78147,79178,80116,81165,82150,83222,84367,85417,86523,87605,88764,89872,90997,92143,93229,94460,95646,96908,98188,99476,100702,101950,103279,104621,105898,107279,108655,110082,111541,112986,114498,116059,117615,119222,120776,122443,124148,125858,127675,129369,131133,132837,134615,136417,138254,140156,141991,143945,145859,147725,149678,151673,153714,155697,157721,159826,161935,164088,166237,168354,170480,172587,174784,177104,179267,181558,183818,186154,188478,190837,193250,195573,197945,200413,202913,205441,207982,210489,213034,215562,218123,220739,223334,226010,228776,231484,234431,237161,240138,243033,245935,248938,251913,254960,258103,261147,264263,267406,270598,273787,277087,280350,283745,287096,290501,293995,297553,301160,304775,308401,312049,315780,319539,323364,327252,331173,335206,339295,343398,347695,351861,356100,360323,364569,369019,373414,377729,382300,386983,391544,396236,400979,405724,410489,415444,420445,425340,430363,435447,440556,445695
1,1,3,3,3,3,3,4,5,8,11,13,17,20,25,27,29,29,32,35,41,48,54,59,68,79,88,97,107,122,134,149,167,179,188,196,207,219,231,244,255,268,279,296,314,326,339,350,358,371,375,384,394,407,415,426,437,452,458,468,476,489,501,506,513,524,535,545,560,574,586,607,625,641,659,672,690,700,717,740,762,784,815,851,876,915,952,991,1024,1079,1116,1165,1205,1269,1324,1378,1429,1491,1551,1628,1686,1769,1827,1897,1961,2025,2084,2155,2210,2292,2363,2421,2489,2553,2627,2680,2745,2806,2864,2928,2990,3072,3162,3239,3316,3396,3489,3570,3640,3728,3820,3921,4013,4109,4209,4300,4398,4488,4590,4688,4787,4918,5026,5131,5241,5346,5471,5597,5723,5837,5950,6059,6182,6294,6432,6560,6696,6845,6976,7113,7271,7408,7535,7673,7823,7962,8107,8267,8390,8521,8658,8793,8944,9119,9304,9480,9674,9852,10027,10203,10391,10601,10776,10986,11201,11420,11632,11857,12066,12300,12516,12747,12979,13230,13460,13710,13952,14180,14436,14657,14911,15190,15418,15666,15903,16161,16414,16663,16963,17230,17534,17836,18126,18457,18761,19116,19463,19777,20142,20525,20892,21256,21573,21940,22313,22702,23044,23424,23808,24212,24621,25077,25517,25994,26412,26888,27353,27832,28301,28762,29235,29751,30237,30758,31276,31814,32339,32894,33471,34045,34562,35153,35694,36240,36840,37458,38028,38619,39213,39847,40413,41072,41692,42340,43059,43709,44404,45059,45718,46433,47125,47855,48606,49372,50182,51034,51787,52551,53323,54148,54957,55799,56653,57501,58372,59203,60067,60951,61850,62704,63632,64519,65389,66285,67172,68099,68991,69926,70826,71758,72721,73754,74786,75759,76716,77756,78769,79889,81003,82053,83220,84377,85557,86693,87863,89009,90278,91466,92714,94000,95326,96575,97949,99339,100683,102055,103456,104919,106384,107827,109313,110786,112298,113870,115427,116970,118619,120224,121897,123673,125397,127185,128966,130801,132735,134513,136428,138304,140185,142162,144180,146142,148176,150197,152280,154320,156397,158449,160528,162547,164710,166924,169038,171241,173483,175686,177939,180208,182618,184927,187331,189779,192331,194777,197291,199768,202354,204951,207630,210215,212869,215733,218616,221467,224414,227285,230391,233386,236413,239501,242719,245893,249195,252594,256056,259524,262956,266570,270248,273934,277745,281532,285341,289275,293336,297409,301605,305654,309846,314152,318460,322888,327437,332042,336744,341383,346126,351003,355808,360803,365873,370970,376129,381318,386590,391990,397503,403075,408687,414346,420198,426001,431681,437706,443635,449705,456013,462230,468641,475174,481859,488671,495584,502431,509446,516602,523723,530999,538267,545731,553149,560833,568557,576439,584412,592262,600375,608651,616858,625161,633658,642379,651148,660068,668905,677648,686663,695729,705177,714822,724530,734239,744074,753869,763786,773832,783990,794200,804860,815539,826018,836926,847812,859046,870214,881599,893124,904765,916624,928622,940767,952882,965022,977394,990016,1002511,1015437
1,1,1,1,2,6,6,7,8,9,11,12,18,18,22,24,27,29,32,36,39,48,53,55,60,67,74,79,92,100,108,117,124,132,145,159,175,192,209,223,241,256,273,288,306,328,354,371,394,413,446,466,502,519,534,562,582,608,624,646,677,698,722,750,773,794,822,858,893,934,969,993,1021,1051,1085,1103,1128,1163,1194,1231,1262,1301,1348,1391,1419,1452,1485,1523,1575,1621,1677,1718,1763,1806,1844,1890,1943,1993,2052,2112,2165,2229,2274,2331,2369,2425,2497,2558,2623,2684,2747,2819,2873,2939,3001,3072,3126,3200,3268,3336,3415,3493,3580,3646,3723,3808,3895,3975,4072,4168,4260,4370,4475,4593,4694,4803,4924,5025,5131,5238,5350,5469,5564,5686,5802,5927,6048,6186,6319,6427,6544,6659,6762,6889,7002,7117,7239,7350,7475,7575,7678,7790,7908,8024,8134,8248,8379,8482,8597,8698,8794,8903,9017,9127,9258,9372,9499,9624,9755,9892,10004,10139,10260,10381,10526,10659,10802,10928,11077,11249,11400,11561,11703,11824,11979,12129,12258,12420,12573,12696,12852,13016,13175,13316,13481,13647,13801,13951,14106,14260,14429,14603,14762,14932,15103,15260,15441,15597,15759,15946,16139,16330,16508,16696,16900,17100,17260,17456,17643,17864,18061,18286,18510,18719,18954,19214,19411,19618,19844,20086,20343,20573,20804,21034,21277,21519,21777,22035,22298,22550,22795,23074,23358,23636,23946,24208,24515,24841,25108,25406,25702,26001,26333,26650,26999,27364,27747,28119,28462,28820,29171,29498,29872,30263,30607,31020,31432,31827,32200,32643,33065,33528,33965,34411,34904,35362,35845,36351,36890,37421,37952,38469,39003,39503,40076,40631,41183,41763,42406,42949,43547,44139,44709,45319,45934,46542,47201,47851,48534,49190,49917,50576,51282,51992,52674,53395,54160,54907,55660,56413,57202,57981,58843,59640,60533,61425,62345,63253,64149,65116,66105,67026,68023,69055,70117,71187,72243,73277,74325,75370,76420,77566,78635,79894,81106,82267,83418,84634,85823,86986,88240,89449,90672,91940,93218,94592,95904,97285,98637,100114,101606,103084,104543,106008,107448,108938,110428,111960,113522,115138,116744,118414,120103,121803,123481,125121,126858,128623,130417,132157,133997,135759,137742,139594,141535,143452,145453,147479,149510,151547,153655,155728,157887,160082,162372,164609,166941,169145,171485,173882,176197,178718,181289,183805,186315,188960,191622,194280,196922,199676,202528,205281,208110,211088,214082,217025,219978,223070,226310,229508,232712,235996,239378,242708,246065,249541,253054,256612,260122,263732,267358,270948,274725,278535,282485,286284,290175,294119,298113,302141,306267,310472,314754,319097,323456,327727,332174,336683,341369,346219,350928,355817,360790,365767,370910,376044,381429,386754,392235,397720,403235,408886,414524,420343,426235,432172,438075,444084,450172,456362,462561,468848,475274,481594,488095,494752,501494,508274,515227,522338,529363,536459,543730,550821,558211,565674,573302,581031,588945,596744,604695,612435,620689,628775,637067,645292,653779
1,1,1,1,2,4,4,5,6,7,10,10,10,12,16,19,22,29,37,41,49,61,68,78,89,98,115,125,140,154,170,184,202,215,227,241,258,276,300,331,355,377,413,440,469,491,524,549,578,617,653,691,726,768,809,835,869,916,954,995,1034,1068,1125,1159,1207,1267,1321,1364,1406,1472,1525,1598,1678,1739,1797,1857,1933,1996,2069,2128,2187,2263,2342,2427,2501,2589,2673,2773,2828,2920,3006,3088,3170,3251,3332,3409,3513,3587,3689,3794,3872,3952,4040,4133,4220,4311,4414,4499,4593,4694,4800,4900,5004,5122,5234,5329,5439,5545,5656,5768,5882,5988,6090,6201,6302,6421,6546,6673,6785,6924,7068,7223,7364,7483,7621,7756,7908,8049,8218,8363,8490,8640,8801,8954,9116,9282,9442,9648,9850,10028,10202,10377,10588,10811,11026,11224,11452,11637,11843,12054,12254,12417,12611,12825,13024,13207,13388,13585,13776,13984,14197,14427,14655,14846,15058,15269,15489,15716,15927,16159,16414,16664,16894,17161,17429,17701,17987,18253,18549,18857,19142,19411,19713,20024,20372,20698,21027,21358,21697,22017,22377,22714,23099,23429,23800,24150,24480,24857,25221,25609,25986,26356,26747,27116,27539,27959,28377,28841,29257,29708,30113,30591,31028,31470,31922,32396,32916,33372,33830,34303,34789,35344,35851,36364,36876,37356,37844,38337,38867,39389,39898,40385,40874,41418,41908,42406,42946,43462,44013,44574,45134,45769,46302,46851,47471,48084,48692,49371,49995,50684,51347,52065,52753,53445,54151,54893,55646,56520,57353,58236,59079,59995,60831,61783,62664,63588,64499,65445,66456,67461,68444,69448,70441,71503,72466,73468,74548,75630,76671,77727,78795,79874,80961,82029,83119,84206,85288,86470,87631,88804,90046,91298,92544,93838,95120,96465,97802,99152,100527,101884,103288,104776,106210,107692,109182,110698,112240,113783,115329,116923,118646,120326,122075,123876,125685,127525,129280,131253,133169,135087,137105,139031,141028,143042,145166,147316,149367,151561,153662,155932,158105,160430,162746,165024,167303,169612,171960,174404,176779,179320,181894,184478,187099,189682,192322,194981,197724,200574,203354,206329,209236,212166,215174,218097,221161,224255,227440,230650,233806,237008,240469,243763,247141,250571,254045,257523,261139,264795,268500,272227,275827,279661,283550,287342,291220,295126,299150,303154,307128,311311,315364,319561,323792,327939,332223,336608,340974,345392,349986,354602,359322,364034,368732,373595,378516,383506,388470,393618,398769,404141,409508,415029,420468,426123,431836,437519,443259,449113,455118,461100,467181,473446,479899,486481,493203,500151,507097,513985,521130,528322,535576,542933,550375,558035,565767,573505,581307,589211,597391,605633,613919,622368,630859,639518,648424,657338,666312,675287,684743,694079,703665,713299,722980,732809,742786,752923,763182,773432,784190,794694,805453,816325,827333,838325,849794,861368,872700,884323,896308,908229,920353,932589,944780,957167,969704,982743,995821,1009091,1022493,1036172,1049852,1063767,1077962,1092157,1106559,1121319,1136013,1150630,1165770,1180785,1196282,1211779,1227501,1243437,1259486,1275582,1292135
1,1,1,1,1,3,3,3,5,6,7,7,7,8,10,13,15,16,17,18,22,26,29,35,36,36,37,41,45,55,59,67,78,84,90,98,109,120,123,134,146,151,158,166,181,189,198,204,211,216,224,234,240,246,250,259,262,266,278,286,293,299,308,314,319,322,327,328,334,341,351,357,363,368,373,374,383,393,400,406,417,421,425,437,446,458,471,480,489,499,508,516,525,540,549,551,561,571,580,590,598,616,627,636,653,666,681,697,705,718,732,748,765,797,818,842,862,882,901,914,928,949,966,987,1003,1021,1034,1054,1069,1084,1107,1122,1133,1147,1166,1184,1207,1228,1245,1262,1289,1323,1345,1362,1382,1403,1422,1455,1472,1498,1529,1560,1587,1612,1641,1666,1703,1730,1776,1813,1846,1875,1907,1932,1959,1989,2016,2040,2072,2099,2120,2149,2172,2212,2242,2279,2308,2335,2370,2416,2445,2476,2510,2539,2586,2623,2664,2721,2773,2819,2870,2914,2961,2995,3044,3087,3130,3175,3221,3261,3304,3358,3392,3439,3486,3531,3563,3600,3638,3668,3709,3759,3798,3840,3867,3908,3947,3991,4026,4067,4117,4156,4195,4237,4290,4327,4369,4418,4450,4509,4556,4598,4640,4686,4727,4772,4818,4876,4929,4970,5019,5074,5143,5189,5246,5293,5349,5419,5474,5541,5612,5687,5759,5826,5895,5950,6005,6076,6150,6211,6282,6355,6428,6494,6565,6641,6725,6799,6862,6952,7020,7098,7179,7234,7315,7399,7496,7576,7656,7738,7818,7906,8015,8093,8179,8271,8349,8437,8514,8597,8684,8778,8860,8952,9053,9153,9254,9355,9442,9547,9659,9771,9871,9968,10076,10198,10306,10413,10524,10642,10767,10886,10991,11130,11248,11383,11505,11647,11766,11919,12067,12204,12334,12465,12590,12738,12889,13021,13169,13282,13442,13570,13729,13867,14021,14166,14309,14460,14642,14817,14961,15094,15254,15437,15625,15794,15964,16133,16292,16459,16638,16826,17012,17211,17418,17606,17808,17978,18171,18357,18555,18762,18967,19154,19352,19541,19744,19927,20122,20362,20564,20785,21007,21237,21468,21679,21908,22132,22349,22570,22767,23035,23293,23554,23817,24077,24314,24569,24843,25115,25425,25688,25971,26266,26562,26836,27135,27457,27800,28143,28491,28848,29174,29534,29885,30272,30637,31013,31405,31774,32123,32502,32895,33296,33694,34116,34533,34935,35329,35726,36152,36629,37107,37581,38065,38545,39021,39508,40016,40518,41003,41516,42020,42579,43098,43634,44171,44759,45349,45900,46496,47055,47650,48276,48883,49523,50150,50780,51400,52049,52685,53375,54061,54680,55376,56000,56698,57383,58097,58804,59511,60273,61025,61784,62584,63367,64174,64986,65881,66738,67707,68600,69506,70477,71398,72285,73272,74279,75254,76290,77317,78288,79376,80499,81624,82761,83882,85031,86212,87442,88619,89787,91061,92263,93523,94784,96017
1,1,3,4,6,8,11,14,16,17,22,27,30,32,37,43,49,59,67,74,75,79,83,89,97,110,121,129,141,153,162,172,182,189,195,201,210,226,234,241,250,255,265,280,288,292,297,302,309,318,322,330,335,341,349,356,368,377,396,408,418,437,443,461,481,491,506,529,556,584,610,628,648,666,692,716,748,769,803,832,855,879,910,940,968,1003,1041,1068,1099,1133,1158,1182,1210,1237,1263,1289,1318,1340,1363,1387,1415,1446,1469,1492,1519,1541,1559,1580,1605,1632,1667,1696,1717,1741,1763,1800,1841,1883,1922,1954,1990,2025,2072,2099,2131,2161,2200,2233,2267,2308,2346,2377,2416,2459,2491,2528,2566,2602,2639,2672,2708,2735,2769,2794,2820,2849,2887,2919,2954,2980,3007,3045,3084,3112,3149,3190,3225,3270,3313,3347,3383,3436,3477,3509,3561,3606,3660,3708,3752,3795,3855,3912,3981,4033,4076,4140,4209,4261,4316,4391,4440,4508,4577,4634,4703,4745,4812,4867,4912,4978,5022,5087,5149,5207,5268,5333,5394,5463,5530,5586,5653,5721,5772,5824,5896,5980,6047,6116,6181,6261,6346,6420,6512,6597,6717,6820,6922,6998,7099,7199,7284,7392,7473,7573,7680,7773,7892,7995,8093,8213,8345,8454,8581,8703,8831,8948,9071,9213,9348,9489,9627,9771,9929,10064,10222,10361,10535,10694,10857,11013,11202,11381,11564,11751,11929,12103,12266,12451,12635,12842,13034,13246,13448,13649,13846,14032,14256,14480,14701,14879,15080,15308,15521,15743,15956,16173,16416,16657,16857,17081,17313,17550,17788,18048,18301,18544,18787,19045,19307,19560,19841,20108,20381,20659,20950,21260,21545,21884,22186,22476,22797,23097,23404,23739,24076,24408,24742,25083,25441,25789,26142,26481,26828,27146,27495,27847,28240,28624,29004,29357,29757,30158,30519,30908,31286,31688,32070,32494,32897,33329,33801,34234,34718,35217,35684,36196,36664,37149,37630,38108,38599,39129,39603,40146,40653,41213,41760,42294,42823,43351,43885,44493,45104,45687,46299,46907,47510,48092,48744,49310,49924,50553,51171,51804,52466,53174,53821,54498,55145,55863,56590,57332,58021,58718,59484,60243,61007,61756,62545,63333,64122,64923,65761,66570,67460,68330,69184,70086,70958,71804,72686,73602,74569,75528,76425,77382,78419,79377,80367,81330,82311,83319,84355,85381,86432,87504,88517,89617,90720,91922,93048,94242,95417,96607,97808,99058,100361,101643,102900,104210,105570,106910,108221,109707,111146,112609,114030,115570,117070,118509,120047,121621,123172,124700,126295,127952,129611,131249,132916,134556,136270,137904,139643,141414,143191,144900,146738,148589,150408,152309,154237,156196,158209,160242,162318,164377,166418,168564,170795,173004,175242,177491,179669,181884,184151,186390,188879,191345,193808,196329,198959,201550,204121,206770,209525,212332,215070,217869,220693,223499,226428,229421,232422,235560,238673,241819,245050,248293,251518,254706,257990,261354,264799,268294,271731,275192,278775
1,1,1,1,3,4,5,6,8,10,10,11,12,15,24,27,31,34,36,50,57,63,66,74,79,88,100,108,118,132,150,158,170,181,194,205,212,224,235,251,261,285,296,314,332,340,352,368,383,401,424,440,446,474,496,518,532,554,575,605,627,662,691,731,765,790,819,844,872,905,940,973,996,1031,1055,1074,1112,1142,1172,1200,1233,1265,1296,1335,1373,1423,1464,1497,1543,1590,1634,1675,1731,1793,1846,1910,1967,2034,2096,2168,2238,2300,2365,2424,2481,2549,2631,2715,2802,2861,2947,3015,3104,3163,3238,3310,3384,3448,3508,3591,3684,3755,3821,3905,3973,4076,4158,4240,4317,4395,4481,4574,4680,4786,4894,5005,5087,5205,5322,5441,5574,5709,5852,5988,6130,6271,6408,6548,6711,6855,7013,7179,7339,7490,7643,7786,7972,8127,8273,8448,8643,8824,9027,9190,9362,9536,9717,9934,10125,10340,10540,10739,10945,11137,11356,11554,11757,11971,12211,12439,12655,12878,13100,13327,13579,13818,14045,14254,14478,14706,14984,15239,15486,15739,15986,16276,16507,16744,17003,17312,17604,17906,18188,18480,18771,19051,19353,19650,20010,20330,20655,20959,21319,21647,21997,22356,22721,23089,23463,23813,24173,24566,24942,25338,25724,26137,26543,27009,27455,27873,28311,28728,29189,29636,30081,30585,31016,31483,31952,32434,32915,33404,33897,34382,34853,35387,35877,36394,36888,37359,37883,38401,38935,39465,40049,40625,41166,41715,42270,42837,43355,43949,44558,45145,45730,46372,46913,47522,48187,48792,49433,50096,50756,51359,52024,52690,53377,54080,54803,55545,56314,57055,57784,58587,59386,60206,60977,61836,62712,63521,64373,65304,66256,67165,68100,69065,69990,70998,72000,73002,74076,75143,76096,77142,78186,79274,80377,81545,82724,83878,85071,86197,87365,88606,89865,91115,92363,93631,94943,96316,97657,99051,100422,101888,103351,104888,106372,107943,109529,111068,112642,114302,115949,117627,119461,121203,122902,124686,126557,128410,130237,132195,134082,136140,138149,140130,142047,144075,146183,148322,150420,152539,154683,156955,159184,161552,163914,166400,168820,171214,173751,176337,178955,181656,184304,187114,189955,192734,195609,198577,201582,204646,207772,210896,214091,217325,220653,223976,227397,230709,234017,237482,241031,244582,248146,251714,255437,259161,262898,266701,270560,274412,278405,282437,286536,290681,294921,299269,303573,307933,312413,316921,321350,325904,330576,335341,340139,344840,349754,354573,359563,364696,369694,374785,379911,385327,390739,396197,401720,407240,412831,418337,423928,429704,435576,441358,447249,453355,459508,465596,471813,478105,484493,490806,497243,503741,510344,517088,523876,530756,537706,544578,551766,559162,566407,573945,581441,589080,596863,604740,612707,620752,628978,637566,645951,654467,663135,671940,680780,689902,699094,708272,717788,727155,736772,746375,756144,765950,776005,786158,796214,806409,816884,827373,838009,848902,859841,870707,881761,892988,904318,915438,926835,938348,950155,962171,974172,986383,998682,1010945,1023419,1036120,1048876,1061745,1074593,1087851,1101072
1,1,1,3,4,4,7,7,9,9,10,12,14,16,23,27,29,33,38,39,45,48,54,60,68,72,84,91,104,114,127,136,148,164,178,187,200,218,228,240,240,258,265,285,295,313,321,339,351,365,378,400,423,451,473,495,519,537,562,582,611,642,669,698,730,755,795,834,866,903,943,986,1038,1069,1112,1151,1189,1229,1270,1304,1349,1383,1418,1454,1495,1530,1562,1603,1627,1655,1693,1721,1752,1790,1824,1851,1894,1928,1954,1978,2018,2049,2082,2121,2152,2192,2232,2270,2307,2350,2398,2434,2472,2503,2551,2588,2637,2686,2736,2778,2823,2861,2902,2955,3010,3059,3114,3163,3226,3284,3341,3398,3464,3529,3577,3644,3711,3782,3849,3925,3993,4087,4171,4241,4321,4397,4493,4586,4666,4743,4842,4935,5026,5098,5185,5286,5381,5478,5579,5691,5789,5902,6019,6121,6201,6302,6400,6512,6622,6722,6842,6939,7055,7165,7285,7418,7533,7671,7781,7922,8030,8148,8275,8392,8528,8645,8777,8887,9030,9144,9291,9437,9573,9714,9865,10000,10143,10297,10442,10613,10780,10945,11126,11307,11474,11637,11819,12000,12207,12395,12558,12757,12939,13134,13335,13549,13752,13969,14167,14358,14558,14780,14973,15188,15429,15639,15843,16073,16305,16516,16748,17004,17273,17510,17747,18001,18217,18453,18699,18929,19153,19375,19615,19861,20144,20388,20618,20884,21128,21380,21671,21956,22247,22560,22914,23200,23514,23841,24169,24504,24817,25147,25494,25839,26209,26581,26968,27353,27710,28140,28533,28993,29476,29914,30364,30811,31287,31779,32325,32865,33365,33912,34454,34973,35567,36129,36689,37262,37858,38452,38981,39591,40204,40766,41332,41911,42525,43183,43813,44438,45058,45663,46267,46926,47568,48160,48853,49509,50191,50889,51548,52228,52933,53692,54480,55212,55981,56779,57602,58439,59296,60178,61119,62041,62957,63883,64871,65857,66885,67896,68892,69905,70971,72077,73153,74245,75341,76426,77620,78760,79936,81102,82256,83445,84594,85732,86943,88133,89382,90630,91888,93206,94572,95893,97287,98646,99994,101453,102949,104397,105850,107342,108813,110319,111845,113480,115088,116699,118345,119978,121674,123404,125014,126753,128589,130411,132227,134119,135984,137933,139833,141780,143787,145837,147910,150003,152037,154169,156289,158504,160784,163073,165398,167765,170191,172655,175120,177647,180205,182880,185761,188582,191460,194303,197073,199907,202834,205833,208985,211979,215080,218221,221438,224588,227939,231305,234532,237849,241276,244841,248233,251801,255345,259117,262811,266595,270482,274403,278360,282297,286357,290462,294676,298993,303283,307615,312205,316745,321469,326179,330962,335608,340325,345292,350223,355195,360270,365402,370736,376008,381340,386786,392484,398151,403829,409582,415426,421317,427444,433642,439996,446350,452567,458947,465421,471988,478589,485297,492124,498885,505686,512653,519868,527084,534435,541844,549233,556693,564270,571905,579730,587754,595985,604215,612531,621058,629564,638121,646763,655687,664551,673584,682768,692128,701652,711362,720954
1,1,1,1,1,2,3,4,7,7,8,9,12,18,22,26,29,34,39,49,62,67,74,78,87,96,102,110,121,130,139,148,153,168,184,192,198,208,223,235,242,249,256,263,272,283,294,311,322,333,342,359,369,381,395,412,422,447,458,468,484,500,512,522,551,559,571,586,607,631,646,671,684,712,733,755,771,796,818,840,846,861,888,908,935,965,985,1002,1027,1055,1085,1109,1134,1150,1176,1195,1235,1256,1293,1327,1364,1398,1430,1463,1508,1552,1591,1636,1679,1719,1763,1805,1842,1878,1916,1953,2001,2046,2101,2156,2205,2249,2309,2361,2412,2475,2520,2566,2621,2692,2751,2823,2896,2950,3009,3071,3135,3197,3259,3341,3427,3514,3587,3664,3745,3820,3891,3963,4023,4082,4149,4213,4279,4337,4396,4475,4551,4614,4673,4747,4811,4875,4947,5007,5087,5146,5213,5282,5344,5397,5478,5550,5629,5700,5768,5842,5920,5985,6054,6121,6196,6274,6357,6423,6500,6588,6673,6769,6856,6943,7043,7142,7245,7334,7445,7540,7621,7718,7805,7888,7988,8092,8181,8285,8383,8499,8612,8729,8831,8932,9048,9169,9286,9414,9536,9654,9764,9904,10018,10166,10299,10430,10550,10677,10782,10926,11068,11205,11374,11506,11667,11819,11962,12115,12274,12419,12605,12781,12942,13109,13293,13480,13675,13876,14078,14287,14520,14762,14991,15210,15419,15648,15879,16144,16433,16721,16994,17281,17547,17861,18125,18398,18698,19003,19344,19666,19948,20256,20547,20856,21178,21475,21815,22138,22469,22786,23119,23444,23769,24114,24449,24795,25147,25523,25846,26245,26622,26961,27329,27714,28100,28495,28876,29240,29641,30030,30432,30897,31340,31801,32226,32663,33118,33559,34016,34462,34956,35437,35918,36433,36929,37457,37977,38514,39096,39665,40276,40924,41534,42120,42739,43396,44060,44744,45375,46032,46717,47407,48046,48744,49428,50164,50873,51617,52336,53086,53834,54612,55380,56194,56966,57723,58492,59296,60140,60957,61831,62687,63564,64432,65338,66205,67185,68177,69118,70108,71119,72096,73098,74120,75119,76203,77281,78392,79496,80649,81759,82872,84050,85192,86386,87538,88758,90049,91303,92598,93922,95251,96562,97973,99363,100807,102235,103632,105063,106535,108081,109635,111157,112719,114303,115925,117589,119212,120906,122581,124360,126078,127877,129729,131605,133491,135437,137408,139341,141371,143514,145671,147750,149858,152039,154241,156405,158727,160976,163329,165912,168366,170893,173521,176042,178741,181487,184108,186853,189577,192446,195449,198485,201512,204613,207626,210723,213982,217236,220419,223684,227047,230511,233855,237278,240768,244244,247783,251439,255193,259022,262811,266716,270677,274607,278580,282591,286660,290784,295070,299435,303815,308176,312541,317046,321612,326134,330853,335692,340702,345642,350745,355694,360743,365941,371162,376517,381937,387363,392809,398211,403823,409517,415127,420968,426757,432740,438724,444726,450885,457144,463407,469837,476355,482968,489722,496576,503410,510461,517737,524974
1,1,2,2,7,9,10,14,15,20,26,32,38,45,52,56,63,67,70,76,84,93,100,106,116,123,132,148,159,172,191,203,225,239,250,269,282,290,306,315,329,347,368,382,401,412,425,444,458,468,481,493,506,521,541,559,572,599,617,634,649,673,692,716,743,779,822,872,921,963,1004,1050,1089,1131,1170,1211,1253,1294,1347,1410,1482,1538,1599,1659,1726,1779,1840,1912,1969,2018,2079,2158,2226,2297,2364,2440,2521,2582,2650,2726,2813,2885,2964,3074,3180,3262,3353,3448,3552,3649,3750,3854,3966,4073,4179,4281,4402,4522,4624,4729,4863,4986,5110,5232,5369,5497,5634,5766,5906,6046,6188,6326,6472,6650,6798,6955,7148,7313,7489,7664,7848,8038,8250,8429,8641,8880,9111,9327,9544,9777,9989,10220,10431,10664,10910,11155,11420,11656,11897,12170,12400,12661,12897,13157,13434,13686,13955,14265,14529,14814,15097,15378,15635,15936,16238,16555,16847,17186,17527,17886,18227,18579,18971,19354,19752,20138,20505,20884,21298,21750,22163,22589,23014,23440,23896,24321,24765,25212,25684,26139,26625,27106,27576,28070,28555,29010,29489,29994,30518,30991,31488,32002,32560,33064,33602,34175,34733,35324,35843,36427,36989,37562,38122,38715,39310,39927,40550,41149,41785,42397,42996,43655,44295,44928,45595,46276,46983,47707,48423,49117,49820,50534,51269,52020,52768,53488,54297,55044,55761,56524,57308,58111,58908,59728,60596,61483,62359,63266,64190,65125,66132,67116,68139,69178,70170,71228,72245,73319,74447,75601,76660,77772,78983,80217,81483,82647,83821,85038,86266,87538,88754,90065,91450,92834,94150,95522,96920,98250,99736,101210,102661,104080,105662,107165,108684,110235,111791,113350,114966,116597,118226,119828,121434,123056,124753,126451,128240,130008,131827,133689,135567,137440,139380,141298,143346,145365,147512,149666,151770,153930,156151,158316,160534,162887,165225,167570,169964,172475,175022,177581,180204,182943,185523,188144,190879,193628,196488,199395,202237,205102,208126,211143,214287,217381,220600,223811,227213,230505,233839,237270,240637,244145,247736,251403,255061,258795,262546,266361,270180,274201,278194,282418,286605,290798,295074,299475,303943,308388,312957,317423,322084,326753,331452,336270,341001,346007,351153,356314,361435,366706,371893,377393,382801,388179,393765,399180,404833,410537,416300,422082,428054,434022,440371,446628,452914,459256,465856,472430,479083,485808,492608,499531,506644,513731,520881,528352,535645,543164,550728,558582,566458,574397,582488,590591,598843,607304,615621,624357,633164,642155,651120,660217,669383,678629,687886,697310,706883,716678,726555,736551,746715,756838,767076,777493,787859,798412,809037,819771,830663,841794,852934,864200,875695,887156,899032,910878,922911,935268,947582,960181,972872,985821,998920,1012286,1025734,1039544,1053572,1067762,1081839,1096317,1110859,1125489,1140533,1155637,1171179,1186549,1202132,1217872,1233868,1250077,1266693,1283290,1299904,1316660,1333886,1351074,1368745,1386168,1404042,1421771,1440061,1458370,1476734,1495489,1514255,1533301,1552567,1572093,1591779,1611560,1631502,1651476,1671663,1692376,1713147,1734081,1755317
1,1,4,5,5,8,10,10,10,11,11,13,15,17,19,19,19,19,19,23,25,27,28,30,31,33,35,38,43,45,47,53,56,66,75,81,84,86,94,106,112,121,129,135,139,152,166,178,189,196,201,206,218,224,232,238,246,250,256,265,267,274,279,284,288,293,296,303,309,313,316,316,320,325,332,336,344,353,360,371,376,385,393,411,423,433,449,465,486,512,535,554,570,602,623,649,678,698,727,743,770,806,838,868,901,935,970,998,1029,1071,1112,1150,1181,1223,1254,1289,1328,1380,1424,1474,1513,1558,1610,1660,1708,1757,1812,1867,1915,1970,2024,2083,2137,2190,2246,2300,2354,2413,2477,2534,2600,2659,2723,2786,2843,2896,2948,3020,3074,3150,3220,3285,3348,3408,3485,3538,3600,3667,3730,3791,3848,3921,4005,4077,4171,4263,4349,4436,4523,4620,4709,4794,4904,5003,5095,5176,5254,5348,5448,5556,5645,5733,5840,5957,6061,6166,6260,6359,6433,6518,6608,6694,6794,6887,6978,7066,7177,7276,7371,7462,7567,7671,7779,7897,7988,8090,8189,8313,8397,8504,8621,8739,8857,8957,9070,9195,9304,9425,9550,9683,9811,9936,10056,10165,10288,10404,10531,10640,10766,10876,11015,11138,11279,11400,11529,11676,11816,11957,12095,12227,12359,12506,12648,12784,12941,13081,13246,13390,13535,13696,13858,14010,14171,14354,14514,14656,14829,15013,15193,15374,15536,15714,15887,16062,16244,16436,16607,16800,16990,17173,17387,17607,17829,18042,18227,18451,18646,18829,19014,19252,19465,19679,19901,20129,20369,20639,20883,21117,21348,21570,21809,22032,22310,22575,22825,23085,23357,23645,23926,24232,24533,24836,25174,25534,25885,26246,26585,26999,27407,27820,28190,28586,29032,29498,29961,30405,30855,31283,31748,32190,32701,33144,33650,34125,34616,35086,35541,36041,36543,37043,37593,38144,38688,39233,39792,40371,40958,41593,42250,42891,43510,44174,44825,45536,46234,46944,47694,48460,49213,49974,50715,51477,52226,53083,53876,54758,55580,56416,57239,58078,58974,59852,60695,61642,62528,63503,64467,65437,66416,67397,68387,69409,70414,71456,72501,73532,74558,75566,76610,77702,78802,80012,81199,82385,83562,84747,85910,87071,88277,89551,90835,92118,93462,94821,96260,97668,99107,100545,101922,103383,104973,106540,108096,109678,111194,112820,114446,116088,117833,119559,121240,122965,124746,126574,128289,130152,132080,134009,135916,137885,139870,141872,143936,145918,148084,150240,152311,154549,156696,158940,161197,163467,165711,168013,170356,172727,175053,177472,179978,182465,184889,187357,189911,192493,195124,197880,200524,203271,206110,208866,211740,214620,217526,220519,223431,226456,229577,232751,235873,239089,242316,245663,249062,252565,256134,259689,263311,266964,270530,274305,278101,281861,285721,289630,293565,297583,301752,305727,309851,314159,318636,323077,327562,332049,336579,341283,346031,350678,355490,360346,365284,370373,375249,380338,385515,390768,396114
1,1,1,1,4,4,8,10,12,13,14,14,19,20,22,25,28,29,33,37,40,45,49,51,64,72,77,84,91,98,107,111,120,129,137,148,153,161,167,178,186,197,208,215,222,229,239,252,263,277,286,302,317,331,345,357,367,392,409,426,437,458,472,490,517,536,566,601,633,667,700,730,766,798,831,854,879,894,917,945,974,1000,1024,1052,1093,1123,1143,1162,1195,1221,1247,1270,1307,1328,1356,1394,1438,1486,1517,1549,1579,1619,1670,1703,1759,1800,1861,1911,1974,2032,2087,2140,2213,2272,2341,2406,2476,2545,2617,2702,2779,2864,2951,3035,3121,3222,3313,3402,3489,3583,3658,3765,3858,3953,4047,4137,4236,4345,4434,4541,4625,4730,4841,4919,5016,5123,5242,5336,5437,5536,5636,5738,5851,5977,6106,6239,6362,6499,6629,6760,6914,7056,7212,7403,7534,7706,7883,8060,8249,8442,8628,8824,9001,9180,9383,9596,9805,9995,10189,10352,10540,10742,10944,11136,11345,11545,11762,11983,12209,12406,12631,12852,13081,13276,13494,13721,13940,14195,14460,14718,14958,15231,15486,15748,16030,16279,16543,16807,17089,17386,17698,18002,18297,18643,18990,19348,19703,20054,20427,20806,21217,21648,22084,22524,22933,23368,23813,24239,24689,25150,25631,26095,26564,27024,27484,27992,28447,28909,29389,29851,30319,30818,31311,31823,32335,32842,33303,33867,34355,34903,35515,36110,36695,37295,37944,38635,39264,39915,40606,41314,42032,42784,43546,44289,45022,45837,46664,47467,48326,49147,50015,50895,51810,52675,53506,54346,55265,56131,57078,57971,58857,59821,60758,61783,62745,63675,64711,65741,66705,67778,68842,69914,71004,72130,73297,74389,75549,76753,78004,79218,80473,81750,83058,84382,85710,86956,88338,89763,91120,92571,93978,95408,96828,98197,99662,101147,102680,104231,105736,107292,108852,110460,112126,113805,115479,117231,118892,120656,122429,124262,126112,127915,129769,131665,133639,135545,137518,139526,141521,143696,145772,147953,150164,152381,154677,157051,159337,161694,164134,166519,168900,171285,173770,176331,178978,181678,184397,187138,189875,192684,195448,198264,201100,204047,207090,210132,213181,216307,219456,222640,225924,229206,232417,235834,239167,242545,246062,249548,253116,256808,260319,264000,267671,271476,275213,278884,282794,286781,290835,294747,298795,302841,307060,311309,315641,320001,324420,328901,333497,337995,342703,347442,352129,356997,361871,366884,371965,377091,382194,387525,392919,398216,403698,409201,414791,420548,426280,432133,438094,444047,450133,456260,462395,468652,475183,481795,488301,494920,501441,508324,515218,522038,529033,536041,543179,550439,557736,565131,572661,580231,588001,595635,603341,611408,619494,627696,635984,644279,652734,661416,669960,678677,687544,696546,705568,714877,724042,733454,742978,752772,762564,772338,782250,792231,802480,812914,823373,833764,844388,855229,866043,877266,888334,899518,911068,922744,934406,946278,958379,970609,983121,995485,1008109,1020698,1033941,1047096,1060339,1073651,1087075,1100751,1114667,1128825,1142925,1157114,1171695,1186302,1201015
1,1,1,1,1,1,1,2,3,5,6,8,12,14,17,22,31,34,40,43,53,60,65,71,82,88,96,105,113,117,125,136,144,151,154,160,169,179,186,191,199,205,211,221,227,233,237,242,244,253,255,263,270,275,284,290,291,299,305,314,320,326,332,338,343,350,361,371,376,384,395,404,410,421,431,439,442,452,461,468,476,484,488,496,505,514,519,529,537,548,558,565,575,585,595,598,603,606,614,621,633,642,656,661,668,686,696,711,729,742,763,778,800,818,851,874,902,927,958,983,1009,1037,1071,1101,1130,1153,1176,1211,1237,1263,1302,1337,1367,1392,1422,1465,1500,1548,1585,1631,1668,1711,1753,1814,1872,1914,1969,2012,2068,2130,2181,2244,2309,2358,2423,2482,2548,2596,2655,2719,2784,2862,2936,3006,3066,3131,3216,3293,3360,3418,3487,3575,3661,3741,3823,3907,3995,4080,4153,4250,4360,4467,4569,4694,4815,4922,5033,5142,5262,5397,5514,5652,5801,5929,6079,6233,6391,6547,6715,6875,7083,7264,7428,7608,7783,7958,8156,8370,8569,8821,9040,9282,9521,9768,10033,10312,10567,10838,11139,11421,11708,11999,12305,12585,12881,13169,13515,13837,14177,14496,14845,15226,15575,15941,16298,16687,17048,17451,17828,18234,18674,19062,19445,19842,20302,20739,21190,21583,22019,22470,22936,23390,23830,24301,24758,25223,25658,26178,26684,27212,27695,28239,28750,29315,29870,30447,31080,31684,32277,32865,33506,34172,34839,35563,36243,36957,37697,38431,39158,39939,40702,41507,42312,43170,43979,44760,45550,46445,47271,48139,49029,49920,50849,51765,52743,53707,54653,55654,56611,57621,58652,59687,60786,61805,62910,63987,65120,66208,67314,68426,69583,70863,72069,73259,74555,75840,77097,78365,79657,80956,82333,83723,85085,86468,87893,89280,90702,92173,93590,95064,96571,98016,99492,101032,102601,104095,105620,107237,108888,110514,112189,113908,115638,117391,119145,120952,122735,124589,126432,128372,130310,132291,134255,136293,138285,140227,142297,144340,146502,148586,150699,152933,155031,157326,159547,161830,164049,166460,168854,171300,173811,176310,178861,181472,184153,186918,189727,192520,195347,198139,201047,204121,207168,210192,213284,216351,219504,222681,225967,229240,232510,235858,239177,242555,246018,249535,253171,256866,260521,264173,267939,271810,275883,279910,283891,287972,292129,296310,300627,304844,309151,313605,318090,322774,327356,332157,336931,341713,346527,351567,356595,361671,366836,372081,377380,382879,388288,393836,399437,405040,410600,416542,422441,428255,434279,440308,446643,453021,459316,465793,472312,478929,485457,492189,499129,506036,513065,520190,527362,534741,542266,549841,557414,565053,572797,580639,588802,597059,605328,613682,622053,630549,639370,648231,657145,666253,675401,684638,694076,703583,712966,722516,732266,742290,752334,762618,772863,783156,793656,804429,815094,826144,837166,848418,859923,871422,882992,894796,906874,919074,931272,943625,956087,968952,981846,995053,1008158
1,1,1,2,3,4,5,5,5,6,6,6,7,8,10,11,11,12,14,15,15,16,17,17,20,22,25,33,39,44,48,59,64,72,81,83,89,101,107,114,125,133,143,159,170,175,191,207,224,236,250,268,284,304,329,343,357,384,403,424,449,479,503,532,568,599,634,665,709,752,802,843,885,944,992,1044,1092,1156,1214,1277,1335,1392,1457,1528,1603,1661,1729,1783,1887,1946,2032,2111,2178,2266,2344,2443,2528,2616,2720,2804,2892,2992,3091,3205,3307,3412,3524,3637,3744,3868,4007,4110,4229,4350,4459,4611,4728,4870,4991,5121,5266,5373,5506,5636,5757,5900,6036,6163,6316,6464,6620,6787,6919,7074,7232,7384,7544,7708,7898,8062,8240,8406,8593,8789,8999,9222,9430,9633,9849,10093,10318,10573,10858,11101,11352,11626,11905,12165,12423,12682,12977,13270,13528,13807,14088,14392,14654,14920,15219,15523,15833,16145,16425,16731,17067,17390,17712,18049,18392,18721,19072,19412,19764,20155,20531,20918,21328,21726,22095,22495,22851,23268,23688,24074,24502,24940,25398,25854,26325,26796,27244,27718,28174,28620,29077,29565,30048,30555,31060,31529,32023,32500,33023,33559,34102,34661,35171,35680,36151,36678,37211,37801,38377,38947,39521,40079,40654,41306,41881,42517,43106,43745,44394,45046,45659,46267,46934,47578,48234,48869,49540,50239,50896,51631,52360,53082,53801,54535,55275,56054,56796,57604,58412,59242,60034,60810,61634,62463,63338,64232,65131,66056,66966,67899,68889,69888,70905,71908,72929,74001,75061,76133,77242,78360,79439,80556,81754,82941,84113,85391,86681,87922,89188,90538,91749,93047,94317,95679,97070,98452,99892,101331,102684,104196,105650,107158,108657,110129,111570,113069,114586,116102,117574,119078,120634,122218,123883,125489,127147,128875,130507,132243,134024,135889,137761,139673,141560,143567,145627,147666,149756,151870,154010,156198,158443,160755,163068,165307,167563,169904,172343,174697,176980,179508,182080,184661,187246,189765,192400,195095,197733,200401,203150,205916,208686,211597,214470,217399,220445,223417,226413,229482,232560,235648,238857,241967,245143,248413,251756,255160,258619,262008,265475,268992,272611,276167,279839,283694,287541,291532,295470,299446,303447,307575,311845,316091,320405,324780,329123,333522,337992,342433,347071,351668,356369,361040,365953,370708,375644,380578,385585,390793,396004,401313,406529,411917,417353,422793,428151,433903,439679,445581,451413,457399,463499,469606,475771,482138,488668,495184,501821,508443,515362,522200,529206,536429,543531,550653,557962,565417,573016,580634,588322,596170,604061,612141,619915,627980,636197,644590,652863,661419,670169,678920,687590,696434,705189,714127,723262,732545,741970,751549,761135,770942,780762,790700,800666,810941,821133,831429,841775,852254,863064,873904,885005,895904,906982,918252,929534,940882,952550,964020,975758,987847,999941,1012235,1024575,1036999,1049589,1062292,1075212,1087899,1100914,1114083,1127401,1140774,1154386,1168298,1182396,1196515,1210612,1224803,1239185,1253784,1268548,1283436,1298427,1313556,1328779,1344349,1360029,1375679,1391550,1407601,1423564,1440036,1456640
1,1,1,1,1,3,3,9,9,10,10,11,11,14,18,22,26,27,31,36,47,52,55,60,67,76,83,88,96,104,114,127,135,141,155,169,179,197,207,231,248,268,281,301,324,351,371,398,422,449,473,513,545,592,614,657,696,720,772,799,840,873,912,935,979,1022,1053,1094,1131,1166,1197,1223,1267,1304,1347,1381,1420,1457,1499,1547,1600,1636,1676,1717,1760,1802,1841,1893,1935,1985,2028,2070,2121,2170,2222,2273,2318,2353,2398,2449,2508,2555,2606,2653,2695,2745,2800,2860,2916,2952,3009,3063,3127,3175,3229,3293,3350,3393,3444,3497,3562,3623,3685,3754,3817,3875,3926,4001,4075,4136,4217,4285,4361,4444,4518,4607,4703,4778,4859,4933,5021,5081,5174,5252,5341,5439,5525,5626,5744,5845,5955,6036,6123,6230,6347,6439,6541,6634,6745,6843,6955,7065,7168,7300,7400,7499,7633,7742,7862,7970,8081,8182,8289,8413,8523,8658,8785,8894,9041,9167,9291,9415,9538,9664,9810,9942,10065,10190,10332,10496,10636,10779,10922,11069,11224,11377,11512,11652,11800,11958,12121,12275,12439,12583,12732,12880,13029,13165,13312,13467,13623,13778,13933,14082,14222,14376,14557,14738,14897,15091,15248,15432,15583,15750,15924,16122,16335,16546,16724,16918,17085,17269,17485,17688,17901,18112,18327,18513,18713,18935,19130,19364,19598,19826,20040,20264,20483,20724,20933,21154,21416,21679,21927,22197,22461,22722,22974,23229,23511,23769,24062,24323,24635,24915,25213,25521,25805,26078,26359,26663,26947,27218,27508,27806,28077,28406,28714,29017,29348,29678,29994,30316,30636,30987,31342,31675,32032,32395,32717,33039,33344,33678,34031,34410,34776,35143,35506,35888,36216,36587,36981,37391,37808,38235,38672,39170,39616,40089,40548,41056,41557,42105,42616,43122,43666,44223,44792,45360,45926,46497,47078,47652,48261,48869,49514,50117,50746,51394,51997,52645,53301,53948,54606,55241,55905,56553,57177,57895,58605,59303,60022,60728,61479,62200,62983,63737,64460,65221,65953,66665,67408,68168,69005,69848,70716,71551,72387,73215,74090,74961,75835,76719,77605,78520,79351,80260,81176,82078,83035,83959,84931,85888,86859,87883,88850,89849,90895,91918,93031,94069,95097,96209,97399,98555,99671,100829,102034,103289,104534,105775,107035,108367,109701,111111,112480,113805,115214,116639,118140,119636,121115,122775,124360,125959,127600,129249,130918,132645,134314,136052,137840,139623,141516,143434,145328,147234,149119,151072,152976,154952,156994,158979,161001,163022,165122,167287,169423,171629,173857,176138,178330,180605,182866,185093,187389,189726,192115,194492,196973,199373,201882,204503,207159,209677,212423,215009,217709,220475,223240,226025,228931,231832,234871,237914,240989,243985,247152,250240,253414,256758,260080,263339,266807,270348,273935,277597,281299,285028,288784,292491,296448,300346,304308,308389,312463,316596,320854,325084,329465,333864,338417,342822,347495,352112,356836,361578,366377,371242,376328,381313,386456,391498,396794,402126,407409,412857,418385
1,1,1,1,1,1,1,3,5,5,5,6,7,8,11,11,14,17,21,25,31,34,38,42,46,55,60,64,74,80,86,94,109,117,127,138,146,153,166,176,188,198,204,215,227,236,244,251,256,263,267,276,281,288,295,300,305,312,321,325,335,346,357,370,377,394,405,417,435,452,471,496,511,539,554,580,596,619,642,659,676,696,709,734,758,786,802,828,855,892,923,946,992,1029,1071,1112,1154,1190,1229,1270,1322,1363,1418,1470,1532,1585,1620,1674,1738,1792,1849,1900,1942,2004,2062,2119,2168,2229,2278,2330,2372,2420,2467,2520,2563,2601,2638,2680,2734,2776,2814,2852,2891,2927,2970,3001,3041,3070,3109,3148,3192,3244,3286,3331,3381,3426,3463,3504,3555,3606,3649,3694,3749,3805,3850,3883,3929,3971,4012,4070,4128,4180,4246,4321,4383,4440,4503,4571,4634,4718,4789,4868,4965,5049,5135,5225,5301,5393,5464,5548,5636,5730,5830,5933,6037,6128,6201,6283,6369,6452,6527,6606,6706,6801,6894,6965,7046,7118,7213,7307,7391,7466,7556,7633,7710,7791,7869,7940,8031,8112,8202,8285,8362,8454,8540,8630,8731,8812,8916,9002,9101,9203,9302,9397,9496,9605,9723,9820,9900,10007,10127,10243,10361,10500,10640,10788,10910,11035,11152,11267,11385,11501,11598,11718,11833,11952,12081,12213,12324,12436,12548,12650,12790,12908,13019,13132,13233,13346,13435,13548,13643,13750,13877,13987,14095,14204,14331,14450,14546,14668,14778,14899,14995,15132,15261,15385,15519,15626,15761,15907,16052,16200,16346,16534,16680,16811,16978,17137,17324,17518,17715,17913,18082,18258,18462,18641,18806,19026,19221,19407,19559,19740,19931,20152,20354,20543,20764,20978,21196,21393,21609,21820,22030,22257,22523,22769,23020,23277,23532,23749,23991,24240,24500,24768,25057,25313,25617,25897,26172,26454,26755,27055,27365,27689,28001,28336,28644,28956,29314,29659,29993,30320,30643,31000,31364,31722,32069,32437,32782,33169,33552,33953,34336,34743,35105,35493,35865,36342,36801,37227,37683,38136,38570,39061,39542,39994,40487,41037,41558,42096,42612,43090,43597,44136,44686,45238,45824,46388,46999,47598,48183,48780,49392,49985,50629,51248,51900,52604,53286,53983,54696,55484,56215,56974,57726,58463,59280,60060,60875,61682,62556,63392,64234,65094,66004,66952,67841,68778,69707,70663,71576,72571,73533,74566,75586,76696,77728,78836,79918,81081,82140,83280,84412,85598,86754,87960,89143,90488,91701,92996,94266,95587,96901,98202,99637,100978,102379,103809,105248,106639,108161,109590,111085,112592,114061,115499,116990,118602,120085,121664,123203,124865,126486,128130,129819,131570,133359,135196,137007,138859,140686,142599,144555,146529,148621,150736,152825,154949,157131,159358,161626,163933,166189,168577,170965,173425,175854,178316,180745,183292,185880,188548,191241,193966,196758,199398,202255,205138,208088,210997,213961,216999,219980,223171,226358,229430,232657
1,1,1,1,1,1,3,6,8,9,10,11,14,17,18,19,20,23,25,28,29,36,42,53,62,70,79,92,101,110,120,128,138,144,155,167,181,188,202,214,227,238,247,262,272,289,307,324,338,353,369,395,414,430,455,475,502,533,557,588,625,659,686,710,739,767,796,833,866,899,931,961,997,1037,1071,1105,1142,1170,1206,1241,1297,1338,1385,1418,1459,1495,1527,1573,1611,1649,1684,1734,1783,1846,1887,1930,1970,2026,2069,2114,2168,2214,2265,2333,2389,2456,2507,2552,2606,2664,2736,2786,2840,2915,2960,3019,3078,3147,3204,3261,3302,3355,3416,3480,3547,3610,3679,3744,3807,3871,3947,4014,4082,4162,4240,4324,4397,4488,4570,4644,4729,4821,4900,4984,5082,5179,5266,5365,5477,5563,5660,5763,5879,5985,6098,6181,6295,6400,6498,6608,6692,6786,6890,6982,7107,7243,7358,7464,7571,7682,7794,7906,8039,8175,8300,8420,8560,8673,8781,8915,9045,9172,9301,9429,9567,9722,9842,9990,10153,10287,10423,10547,10703,10873,11028,11181,11334,11519,11677,11852,12032,12206,12387,12559,12764,12914,13112,13315,13510,13691,13873,14072,14266,14460,14661,14891,15093,15309,15557,15766,16030,16255,16488,16736,16980,17271,17560,17817,18094,18386,18676,18962,19285,19601,19936,20234,20519,20838,21197,21537,21864,22184,22528,22886,23209,23567,23925,24272,24646,24962,25291,25642,25998,26344,26694,27043,27415,27777,28136,28531,28871,29212,29577,29949,30290,30672,31039,31458,31840,32243,32627,33005,33422,33802,34232,34659,35097,35522,35947,36409,36852,37303,37793,38275,38762,39263,39784,40307,40851,41439,41999,42574,43205,43767,44342,44973,45586,46200,46878,47525,48141,48816,49477,50154,50797,51463,52171,52878,53574,54317,55052,55792,56552,57284,57983,58785,59532,60318,61090,61863,62705,63554,64329,65177,65934,66691,67532,68405,69243,70089,70953,71855,72709,73554,74454,75308,76197,77180,78074,79007,79954,80912,81873,82832,83890,84840,85842,86846,87850,88943,89996,91056,92112,93209,94263,95372,96517,97632,98759,99954,101101,102239,103430,104630,105859,107103,108395,109692,110906,112187,113543,114803,116066,117375,118679,120054,121425,122739,124111,125494,126960,128497,129985,131378,132917,134561,136220,137861,139532,141261,143019,144775,146579,148425,150250,152062,153939,155882,157944,159932,161990,164140,166326,168571,170892,173138,175477,177775,180148,182510,184923,187243,189647,192085,194567,197157,199744,202335,205001,207699,210454,213292,216263,219227,222246,225304,228394,231543,234805,238127,241443,244724,248071,251551,254962,258458,261952,265585,269259,272925,276719,280461,284286,288186,292146,296058,300213,304376,308500,312774,316925,321287,325541,330063,334689,339264,343975,348788,353609,358402,363405,368271,373343,378418,383556,388717,394016,399416,404843,410442,416019,421672,427524,433202,439182,445262,451320,457592,463843,470105,476554,483050,489650,496307,502947,509793,516729,523687,530753,537761,544967,552254,559550,567069,574413,581939,589616
1,1,2,4,5,7,7,8,9,9,11,13,14,16,18,20,27,31,36,39,43,49,57,67,75,82,84,92,98,106,110,120,128,133,143,150,162,171,180,190,196,204,214,221,230,240,249,257,269,277,285,295,314,330,343,364,379,388,404,420,441,457,471,500,528,549,576,600,622,651,681,710,741,767,800,813,840,859,886,936,962,1008,1049,1087,1132,1173,1221,1260,1302,1346,1404,1458,1499,1543,1601,1654,1701,1770,1839,1902,1964,2037,2114,2191,2264,2331,2410,2494,2578,2654,2736,2819,2905,2977,3059,3147,3250,3344,3426,3513,3609,3689,3775,3845,3940,4022,4098,4207,4312,4407,4512,4628,4746,4842,5001,5118,5215,5333,5477,5612,5743,5865,5993,6101,6237,6366,6484,6625,6768,6905,7049,7188,7320,7487,7606,7763,7906,8053,8193,8325,8463,8635,8763,8900,9044,9200,9349,9503,9673,9834,9986,10160,10302,10473,10657,10808,10982,11178,11356,11561,11762,11975,12172,12352,12546,12747,12956,13168,13368,13597,13834,14038,14261,14473,14672,14879,15100,15318,15544,15779,16026,16281,16525,16773,17039,17294,17546,17798,18044,18306,18573,18841,19120,19375,19659,19924,20197,20475,20750,21029,21302,21590,21870,22139,22427,22694,22980,23236,23489,23746,24012,24293,24578,24844,25116,25400,25706,25989,26268,26584,26885,27206,27542,27885,28237,28577,28921,29296,29667,30051,30440,30807,31202,31605,32013,32403,32837,33267,33682,34115,34546,35014,35485,35978,36451,36947,37434,37949,38490,38994,39533,40061,40597,41145,41703,42266,42832,43443,44098,44740,45392,46072,46744,47461,48173,48922,49612,50320,50992,51736,52511,53315,54085,54964,55745,56603,57458,58295,59152,59977,60864,61721,62659,63640,64593,65537,66576,67621,68625,69675,70785,71890,72988,74161,75292,76418,77604,78751,79985,81230,82490,83771,85070,86356,87705,89128,90522,91936,93395,94790,96275,97766,99281,100850,102417,104059,105621,107303,108975,110589,112329,114078,115827,117572,119350,121136,122915,124831,126684,128611,130615,132573,134534,136506,138542,140623,142745,144854,146947,149122,151341,153632,155945,158275,160567,162918,165219,167670,170160,172616,175140,177791,180441,183081,185842,188599,191348,194232,197082,200065,203044,206061,209130,212356,215516,218697,221877,225130,228386,231643,234991,238527,242081,245681,249282,252929,256745,260461,264277,268081,271870,275839,279733,283794,287939,292054,296231,300407,304589,308764,313030,317356,321772,326247,330780,335249,339813,344528,349366,354106,358943,363945,368925,374058,379137,384436,389523,394657,400061,405422,410898,416409,422003,427613,433371,439254,445024,450955,456840,462892,468955,475201,481400,487760,494006,500430,506802,513543,520347,527176,534144,541164,548303,555437,562817,570058,577523,585153,592835,600586,608477,616402,624519,632654,640877,649278,657804,666341,674888,683626,692363,701526,710635,719707,729052,738505,748105,757619,767466,777323,787404,797634,807720,818138,828352,839051,849786,860586,871628,882682,893867,905121,916361,927995,939449,951076,962918
1,1,1,1,1,2,3,3,3,5,5,7,7,7,8,9,10,11,11,11,12,15,21,23,29,32,38,40,41,42,45,52,59,63,70,81,87,95,98,108,117,122,131,139,147,156,164,174,181,189,200,204,210,224,249,261,275,289,308,323,335,351,371,398,416,435,458,479,506,535,563,590,629,658,680,710,747,777,811,851,891,931,972,1016,1063,1114,1157,1200,1236,1282,1322,1357,1406,1452,1492,1523,1567,1604,1645,1683,1725,1763,1803,1839,1866,1905,1943,1977,2030,2085,2128,2192,2234,2288,2354,2424,2472,2536,2594,2668,2733,2808,2874,2960,3052,3137,3217,3312,3411,3490,3592,3686,3783,3862,3947,4056,4166,4257,4342,4452,4559,4664,4770,4877,5012,5124,5220,5338,5455,5598,5713,5838,5957,6101,6236,6382,6560,6716,6862,7016,7177,7348,7509,7656,7818,8002,8172,8371,8551,8714,8887,9052,9225,9438,9649,9856,10063,10281,10488,10716,10927,11145,11369,11567,11772,11969,12195,12396,12627,12865,13087,13320,13560,13779,14036,14265,14520,14756,15004,15246,15500,15771,16031,16298,16569,16851,17146,17451,17779,18112,18453,18762,19091,19415,19762,20125,20459,20893,21257,21649,22032,22437,22829,23222,23661,24117,24582,25067,25555,26064,26554,27074,27614,28164,28727,29309,29907,30517,31163,31749,32367,32996,33581,34222,34835,35496,36190,36866,37560,38230,38982,39678,40410,41081,41860,42599,43397,44185,44968,45751,46511,47348,48198,49051,49858,50733,51605,52479,53372,54260,55230,56195,57152,58087,59070,60061,61066,62101,63114,64236,65319,66488,67561,68647,69747,70896,72025,73227,74427,75641,76891,78192,79442,80797,82115,83447,84822,86277,87618,88970,90415,91878,93364,94801,96306,97800,99298,100872,102459,104168,105801,107546,109297,111051,112763,114499,116425,118333,120311,122289,124357,126384,128394,130509,132613,134789,136899,139080,141275,143514,145847,148045,150369,152754,155178,157595,160054,162502,165030,167483,170008,172640,175374,178029,180829,183710,186561,189548,192654,195653,198807,201925,205193,208414,211674,215009,218449,221893,225343,228929,232573,236323,240074,243806,247590,251468,255367,259255,263207,267329,271468,275757,279903,284264,288456,292704,297134,301617,306104,310730,315254,319835,324364,329136,333984,338883,343832,348765,353735,358835,364121,369240,374450,379801,385251,390743,396327,402121,407739,413549,419398,425194,431271,437369,443549,449823,456163,462672,469161,475730,482232,489018,495737,502685,509826,516912,523862,531153,538561,545986,553574,561323,569227,577224,585202,593226,601326,609583,617994,626614,635104,643763,652571,661527,670356,679205,688350,697449,706805,716180,725644,735463,745182,755108,765235,775444,785725,796062,806405,816948,827760,838710,849862,861035,872439,883900,895558,907409,919113,931109,943363,955799,968262,980833,993670,1006744,1020037,1033305,1046838,1060370,1074122,1088037,1102126,1116559,1130961,1145684,1160667,1175840,1190876,1206181,1221734,1237361,1253259,1269246,1285156,1301091,1317333,1334100,1350814,1367700,1385153,1402431,1419853,1437194,1454729,1472510,1490672
1,1,1,1,2,5,9,11,13,17,18,22,26,26,28,34,35,43,46,49,58,65,74,79,84,92,104,111,122,130,140,148,170,182,189,198,207,211,215,220,226,229,236,243,252,255,262,268,275,283,288,292,299,304,313,317,325,334,339,345,352,360,374,382,394,404,413,427,441,452,463,474,488,499,516,534,547,561,582,594,621,638,654,668,683,698,718,740,769,790,819,850,877,903,937,963,989,1032,1074,1132,1188,1236,1290,1333,1399,1462,1510,1574,1617,1666,1725,1788,1843,1895,1969,2019,2081,2135,2191,2252,2313,2385,2456,2502,2568,2644,2717,2774,2842,2919,3008,3092,3174,3255,3333,3403,3496,3595,3686,3783,3892,4002,4112,4218,4326,4445,4564,4680,4808,4954,5075,5215,5371,5488,5617,5761,5897,6063,6205,6347,6504,6652,6822,6997,7139,7295,7447,7603,7759,7914,8130,8319,8482,8658,8834,9021,9194,9362,9545,9720,9906,10091,10262,10438,10613,10809,10993,11159,11354,11541,11730,11935,12132,12342,12542,12733,12928,13144,13350,13559,13786,13999,14203,14400,14625,14821,15039,15262,15508,15727,15971,16211,16450,16716,16976,17240,17519,17771,18029,18289,18563,18822,19074,19348,19651,19932,20235,20572,20894,21202,21515,21851,22185,22517,22879,23213,23588,23944,24333,24678,25053,25428,25779,26131,26494,26911,27289,27677,28085,28478,28865,29249,29627,30008,30438,30896,31315,31716,32151,32574,32998,33446,33868,34328,34759,35187,35654,36109,36594,37066,37534,38046,38562,39055,39584,40137,40666,41228,41826,42422,43019,43616,44202,44776,45401,46026,46688,47252,47907,48531,49188,49825,50451,51132,51754,52425,53048,53703,54418,55129,55827,56543,57225,57884,58570,59265,59985,60718,61381,62112,62897,63649,64453,65242,66043,66878,67645,68447,69306,70176,70999,71875,72739,73646,74599,75516,76411,77320,78244,79253,80195,81190,82175,83145,84121,85128,86120,87087,88157,89167,90163,91217,92260,93369,94476,95592,96784,97950,99201,100426,101652,102873,104163,105403,106701,107998,109291,110686,112019,113367,114824,116260,117637,119085,120548,122017,123554,125099,126700,128263,129852,131482,133177,134802,136593,138228,139837,141625,143352,145157,146977,148775,150681,152492,154350,156216,158115,160142,162133,164204,166335,168452,170474,172624,174669,176779,179013,181328,183578,185900,188264,190706,193128,195570,198125,200663,203326,206010,208698,211469,214270,217105,220058,222904,225908,228892,232030,235165,238313,241477,244721,247925,251167,254612,258059,261528,264967,268546,272043,275702,279382,283067,286851,290649,294618,298682,302824,306921,311193,315533,319744,324053,328489,333020,337793,342349,347056,351944,356923,361876,366986,372053,377267,382431,387612,392943,398268,403684,409053,414669,420278,425871,431610,437331,443224,449121,455183,461366,467645,473901,480239,486694,493271,499897,506655,513478,520358,527288,534404,541650,548933,556161,563571,571262,578916,586925,594790,602858,611043,619513,628138,636721,645228,654081,663037,672025,681073
1,1,3,5,8,9,10,13,17,19,21,23,25,26,26,32,35,43,46,50,54,61,70,75,85,94,105,114,120,125,136,141,151,163,176,190,199,210,219,223,229,241,249,254,260,266,273,279,290,294,308,321,333,343,350,355,361,372,389,402,423,437,449,459,472,493,505,515,538,566,595,614,635,648,676,704,737,767,809,842,872,909,931,956,986,1018,1060,1098,1127,1148,1178,1207,1230,1249,1278,1310,1354,1383,1401,1428,1457,1481,1506,1533,1567,1596,1639,1680,1717,1746,1779,1815,1846,1892,1924,1962,2011,2051,2099,2152,2213,2272,2325,2394,2464,2519,2577,2641,2713,2772,2838,2897,2965,3037,3115,3174,3227,3309,3392,3469,3546,3610,3700,3790,3865,3945,4007,4101,4182,4256,4341,4445,4518,4615,4688,4786,4903,4996,5092,5192,5295,5418,5534,5636,5719,5812,5931,6042,6171,6276,6397,6512,6654,6797,6927,7076,7212,7338,7470,7631,7809,7936,8080,8212,8351,8502,8655,8840,9007,9186,9366,9557,9738,9932,10113,10304,10483,10669,10860,11072,11286,11514,11732,11969,12197,12422,12637,12854,13109,13348,13621,13862,14079,14311,14558,14802,15088,15374,15627,15865,16107,16384,16636,16917,17215,17473,17724,17999,18266,18559,18857,19129,19407,19663,19928,20200,20475,20763,21079,21350,21642,21954,22242,22569,22886,23208,23549,23878,24195,24510,24841,25179,25480,25832,26190,26553,26902,27231,27595,27940,28282,28670,29061,29463,29820,30228,30622,31019,31399,31799,32210,32624,33074,33469,33919,34383,34883,35340,35854,36356,36801,37368,37887,38455,39029,39620,40238,40830,41472,42127,42803,43436,44084,44768,45471,46121,46847,47573,48292,49047,49764,50524,51260,51968,52726,53508,54317,55104,55874,56670,57448,58306,59119,59943,60798,61619,62439,63376,64260,65168,66112,67002,67976,68951,69983,70986,72025,73074,74151,75251,76318,77465,78617,79745,80949,82147,83411,84635,85895,87200,88522,89849,91179,92553,94001,95397,96813,98228,99630,101073,102507,103979,105481,107142,108645,110160,111708,113285,114884,116528,118157,119840,121528,123215,124854,126568,128338,130084,131886,133731,135674,137535,139454,141541,143491,145499,147534,149742,151912,154151,156411,158688,161056,163375,165825,168303,170845,173542,176114,178751,181445,184223,186902,189643,192380,195217,198168,201024,204033,207135,210254,213386,216479,219702,223037,226333,229658,232907,236268,239717,243151,246707,250296,253953,257753,261654,265633,269596,273640,277641,281695,285871,290091,294357,298778,303272,307790,312411,317118,321943,326716,331445,336401,341408,346315,351462,356649,361806,367086,372542,378048,383580,389199,394867,400532,406328,412299,418391,424459,430576,436818,443114,449578,455977,462558,469188,475849,482502,489401,496252,503212,510102,517195,524363,531690,539171,546465,554022,561778,569484,577440,585432,593496,601785,610072,618417,626938,635635,644359,653200,662220,671343,680316,689581,698809,708333,717923,727476,737351,747227,757274,767575,777740,788357,798884,809325,819825
1,1,1,1,1,1,1,3,6,7,7,7,8,8,8,9,10,11,11,14,15,17,22,25,28,32,36,42,45,52,56,58,63,71,75,85,99,107,113,118,126,138,152,161,180,191,203,212,225,237,256,281,294,308,320,349,364,381,393,402,411,429,440,455,483,501,518,537,548,568,583,602,621,650,670,685,715,734,764,793,825,844,872,897,923,939,973,1000,1028,1046,1079,1116,1147,1177,1201,1228,1254,1285,1307,1346,1378,1401,1434,1463,1484,1512,1547,1588,1615,1646,1665,1685,1711,1746,1786,1816,1853,1889,1937,1984,2026,2080,2123,2178,2242,2284,2329,2389,2444,2509,2589,2650,2712,2786,2853,2921,2993,3067,3130,3212,3288,3362,3439,3511,3585,3679,3765,3844,3920,3999,4078,4167,4246,4330,4420,4522,4614,4710,4823,4943,5054,5173,5259,5385,5495,5600,5727,5826,5964,6074,6196,6332,6466,6593,6738,6860,6987,7122,7250,7367,7519,7663,7816,7955,8075,8221,8368,8502,8632,8777,8903,9035,9154,9300,9448,9598,9754,9914,10058,10217,10372,10546,10697,10847,11027,11198,11359,11540,11704,11871,12025,12201,12368,12544,12718,12897,13101,13276,13455,13652,13829,14007,14165,14332,14503,14675,14855,15020,15199,15373,15534,15701,15844,16026,16213,16372,16565,16761,16947,17118,17326,17516,17721,17896,18061,18242,18427,18603,18759,18970,19166,19378,19563,19771,19964,20181,20366,20558,20771,21000,21282,21518,21748,21997,22247,22462,22705,22976,23278,23580,23834,24107,24390,24671,24952,25246,25549,25825,26125,26406,26720,26991,27264,27583,27892,28167,28437,28759,29063,29387,29669,29985,30268,30585,30916,31208,31535,31833,32149,32442,32755,33064,33407,33722,34045,34395,34764,35134,35492,35833,36200,36520,36917,37291,37671,38068,38433,38830,39228,39652,40097,40474,40896,41346,41760,42220,42646,43079,43507,43963,44425,44865,45302,45821,46300,46803,47284,47789,48322,48821,49299,49838,50379,50907,51438,51988,52571,53170,53756,54367,54936,55511,56136,56779,57408,58029,58652,59332,60004,60635,61328,62007,62646,63383,64044,64805,65525,66240,66964,67736,68539,69343,70147,70961,71788,72602,73362,74228,75100,75955,76841,77737,78651,79610,80510,81508,82466,83484,84424,85403,86410,87474,88569,89630,90694,91762,92828,93940,95080,96219,97452,98666,99862,101082,102277,103552,104811,106134,107437,108778,110011,111428,112794,114261,115689,117146,118603,120110,121630,123161,124715,126228,127886,129498,131099,132760,134437,136115,137881,139686,141505,143267,145155,147168,149107,151087,153100,155156,157189,159343,161559,163764,166034,168356,170661,173102,175542,178073,180628,183106,185766,188487,191149,193916,196736,199657,202522,205342,208268,211356,214417,217513,220692,223844,227172,230522,233875,237402,240823,244360,248062,251709,255444,259189,262985,266867,270786,274828,278898,282991,287230,291532,295720,300033,304477,308925,313444,317966,322759,327512,332213,336978,341926,346849,351862,357050,362251
1,1,1,1,1,5,5,6,8,8,9,11,12,12,20,22,23,24,27,27,29,34,38,43,48,55,60,62,69,76,81,87,89,94,97,107,113,119,121,126,130,139,151,161,173,181,189,202,207,216,222,231,241,246,249,256,267,275,289,300,310,322,331,343,356,373,381,391,398,413,427,440,454,462,472,482,495,513,522,538,546,558,570,579,594,607,625,639,652,661,680,698,715,726,752,776,801,829,859,891,914,949,974,1002,1036,1066,1093,1122,1159,1201,1252,1317,1367,1416,1464,1523,1577,1627,1675,1731,1794,1848,1917,1993,2054,2127,2197,2272,2360,2438,2499,2566,2631,2694,2767,2863,2952,3034,3159,3245,3340,3445,3533,3636,3752,3860,3956,4060,4166,4274,4373,4486,4601,4680,4794,4904,5026,5120,5239,5344,5474,5605,5713,5846,5950,6073,6214,6355,6485,6610,6745,6887,7016,7129,7265,7393,7542,7685,7814,7941,8083,8210,8352,8459,8588,8727,8875,9006,9159,9289,9428,9573,9731,9890,10044,10212,10367,10536,10717,10912,11109,11322,11534,11734,11932,12156,12378,12559,12769,12989,13211,13440,13689,13928,14206,14453,14710,14995,15236,15470,15742,15992,16265,16553,16798,17079,17358,17654,17955,18248,18552,18865,19205,19492,19826,20138,20461,20808,21153,21506,21839,22150,22524,22859,23218,23568,23915,24276,24652,24998,25353,25729,26113,26489,26881,27236,27622,28033,28457,28908,29339,29757,30203,30655,31157,31606,32069,32571,33077,33556,34071,34586,35091,35612,36105,36625,37188,37738,38315,38848,39425,39994,40553,41125,41729,42341,42946,43578,44210,44820,45455,46132,46812,47518,48192,48927,49611,50345,51083,51830,52625,53369,54188,54999,55808,56628,57449,58283,59114,59959,60781,61628,62473,63394,64271,65148,66016,66916,67854,68711,69597,70477,71396,72403,73365,74354,75308,76301,77279,78286,79273,80323,81357,82428,83534,84700,85816,86928,88145,89294,90457,91686,92862,94157,95410,96617,97782,99110,100340,101608,102882,104183,105514,106856,108133,109444,110785,112155,113486,114880,116195,117539,118874,120220,121654,122996,124429,125917,127381,128828,130302,131838,133381,134910,136440,137940,139484,141062,142672,144303,146011,147758,149446,151219,153092,154948,156721,158661,160612,162613,164582,166675,168723,170818,173019,175206,177502,179740,181987,184268,186592,188987,191392,193825,196404,198879,201459,204047,206711,209381,211997,214714,217438,220206,223001,225924,228849,231746,234755,237911,241033,244239,247370,250603,253839,257077,260247,263535,266831,270294,273789,277327,280768,284330,287948,291660,295298,299125,302834,306652,310450,314384,318429,322411,326531,330634,334754,338924,343132,347463,351827,356159,360509,364961,369428,373918,378607,383167,387872,392678,397432,402178,406977,411826,416764,421788,426859,432086,437326,442597,447814,453422,458996,464458,470111,475780,481445,487194,493037,499029,505069,511142,517312,523661,530183,536677,543405,550190,556803,563797,570773,577837,585113,592476,600007,607445,615123
1,1,1,1,1,1,3,7,8,9,12,13,13,15,17,25,31,36,47,54,59,67,75,81,93,97,108,119,135,143,154,165,174,186,194,208,224,236,247,253,261,281,288,304,314,326,339,354,364,371,387,402,417,429,446,483,514,549,571,594,633,669,696,739,787,836,891,952,1010,1072,1117,1175,1231,1295,1353,1421,1493,1563,1621,1686,1766,1839,1924,1997,2061,2142,2212,2310,2390,2473,2559,2645,2730,2821,2896,2985,3083,3176,3274,3359,3470,3594,3709,3828,3922,4040,4177,4303,4399,4523,4664,4817,4971,5103,5260,5395,5559,5711,5857,6036,6209,6347,6514,6681,6835,6998,7163,7348,7531,7698,7893,8080,8249,8431,8610,8808,9002,9204,9414,9631,9845,10090,10312,10534,10751,10970,11211,11430,11655,11873,12101,12320,12551,12776,12995,13236,13464,13734,13998,14264,14502,14754,15031,15303,15601,15863,16101,16400,16661,16962,17226,17524,17841,18139,18416,18696,18993,19300,19588,19925,20240,20530,20852,21195,21582,21922,22274,22581,22948,23294,23663,24050,24419,24793,25166,25570,25985,26380,26772,27134,27546,27971,28357,28793,29184,29596,30010,30416,30847,31302,31759,32226,32670,33143,33626,34121,34629,35153,35630,36122,36681,37208,37738,38257,38808,39386,39978,40584,41162,41762,42381,43048,43675,44335,44978,45664,46373,47079,47761,48434,49122,49857,50556,51278,52065,52776,53528,54277,55125,55924,56763,57617,58486,59334,60200,61160,62085,63018,63914,64821,65780,66747,67686,68668,69646,70636,71679,72751,73759,74822,75846,76902,77965,79134,80216,81346,82481,83680,84808,85976,87271,88521,89804,91068,92343,93623,94944,96292,97688,99149,100507,101938,103409,104855,106374,107881,109470,111083,112665,114311,115932,117650,119413,121176,122893,124659,126439,128153,130001,131807,133667,135517,137392,139281,141206,143192,145150,147120,149215,151281,153346,155589,157767,159959,162182,164339,166536,168869,171159,173515,175942,178457,180966,183480,185956,188474,191105,193739,196442,199139,201847,204487,207304,209979,212893,215708,218568,221541,224649,227624,230595,233653,236775,240009,243222,246514,249864,253069,256498,259945,263417,266952,270622,274246,278008,281746,285450,289314,293148,297087,301063,305069,309046,313027,317066,321260,325342,329540,333715,337976,342264,346575,350984,355488,360032,364566,369346,374106,379043,383945,389023,394074,399165,404228,409518,414819,420158,425600,431254,436881,442704,448589,454517,460485,466725,472885,479168,485564,491881,498354,504862,511583,518329,525209,532031,539092,546221,553389,560416,567834,575073,582727,590278,598031,605760,613693,621528,629478,637641,645925,654154,662470,670970,679690,688432,697366,706198,715130,724128,733339,742780,752175,761898,771496,781080,790928,801064,811219,821598,832064,842798,853314,864293,875252,886371,897602,909038,920258,931826,943409,955353,967150,979081,991278,1003750,1016305,1028970,1041717,1054635,1067625,1080965,1094283,1107651,1121273,1135233,1148924,1163095,1177290,1191826,1206568,1221319,1236530,1251870,1267519,1283155,1298907,1314959,1331068,1347261,1363539,1379956,1396666,1413691,1430848,1448310,1465889,1483468
1,1,1,1,1,1,1,2,2,3,5,7,9,9,10,10,13,15,15,18,18,24,28,30,34,39,47,55,58,61,64,73,81,90,95,105,110,120,128,142,150,159,176,188,194,212,226,244,257,272,289,304,315,328,340,361,375,394,412,429,453,466,483,512,538,561,594,622,652,680,713,751,784,822,862,898,938,975,1018,1067,1102,1136,1168,1214,1253,1299,1338,1379,1411,1464,1508,1558,1594,1638,1671,1713,1748,1784,1835,1872,1919,1976,2026,2087,2128,2175,2225,2263,2313,2366,2416,2466,2513,2553,2593,2636,2667,2704,2764,2816,2863,2923,2970,3030,3078,3115,3160,3196,3239,3296,3358,3404,3446,3493,3555,3605,3665,3726,3771,3828,3874,3926,3987,4057,4121,4188,4273,4352,4424,4513,4599,4688,4765,4853,4937,5015,5098,5188,5278,5385,5494,5586,5675,5787,5906,6011,6131,6243,6363,6471,6596,6696,6801,6919,7035,7142,7275,7409,7556,7678,7804,7948,8093,8236,8391,8542,8691,8838,8986,9142,9283,9463,9653,9818,9968,10134,10323,10481,10639,10814,10990,11181,11373,11583,11782,11960,12142,12329,12570,12822,13012,13250,13476,13727,13940,14146,14374,14631,14891,15138,15415,15703,16000,16243,16528,16825,17109,17417,17721,18031,18338,18667,18988,19336,19674,20021,20351,20695,21039,21369,21711,22067,22423,22803,23165,23554,23926,24306,24707,25071,25476,25913,26342,26756,27184,27620,28089,28539,28966,29435,29909,30373,30871,31353,31860,32387,32910,33474,34017,34540,35068,35622,36190,36798,37327,37925,38544,39144,39743,40421,41036,41644,42291,42941,43596,44234,44868,45497,46174,46808,47422,48112,48751,49425,50188,50950,51629,52348,53064,53773,54539,55275,56043,56790,57530,58293,59056,59864,60596,61401,62216,63067,63886,64744,65633,66522,67464,68426,69377,70362,71318,72372,73402,74494,75531,76609,77647,78765,79911,81015,82162,83320,84487,85647,86866,88089,89257,90482,91786,93111,94420,95651,97015,98374,99741,101086,102565,104076,105521,107025,108573,110143,111688,113278,114835,116462,118172,119893,121685,123442,125193,126976,128727,130602,132466,134342,136227,138177,140217,142300,144310,146436,148485,150643,152830,155121,157444,159705,162061,164522,166911,169291,171752,174201,176706,179316,181843,184541,187278,190069,192925,195658,198505,201349,204318,207361,210402,213466,216545,219796,223004,226162,229427,232698,236037,239324,242692,246191,249808,253444,257153,260850,264579,268392,272272,276119,280055,283974,288116,292208,296498,300712,305018,309348,313866,318442,323072,327707,332360,337073,341925,346742,351627,356460,361494,366565,371651,376895,382142,387433,392850,398283,403778,409327,415047,420834,426637,432632,438595,444706,450958,457259,463571,469915,476541,483106,489732,496630,503583,510608,517809,525074,532468,539843,547443,554988,562728,570709,578649,586641,594799,603110,611397,619779,628291,637023,645701,654480,663642,672679,682116,691611,701242,710891,720537,730417,740691,750841,760975,771188,781569,792105,802768,813738,824716,835927,847033
1,1,1,1,1,2,3,5,7,8,10,11,14,17,22,26,37,42,55,61,68,73,81,91,104,128,136,148,159,179,184,198,211,223,238,247,261,278,291,310,329,346,356,373,391,405,416,425,430,439,446,457,476,488,495,503,514,523,535,548,553,558,565,571,580,583,588,596,605,606,614,618,624,634,641,653,661,674,681,688,693,707,721,741,760,782,801,817,837,851,871,889,915,949,972,1005,1026,1061,1096,1139,1171,1214,1259,1287,1332,1380,1423,1476,1516,1552,1593,1639,1694,1734,1779,1820,1855,1903,1950,2003,2050,2092,2145,2196,2255,2311,2376,2435,2504,2561,2650,2717,2791,2873,2940,3038,3115,3184,3271,3375,3453,3540,3620,3701,3782,3855,3939,4031,4119,4215,4314,4415,4508,4618,4719,4808,4910,5018,5150,5287,5423,5568,5696,5831,5994,6147,6320,6516,6680,6834,7018,7196,7417,7601,7834,8055,8317,8565,8780,9041,9268,9513,9804,10085,10370,10648,10896,11139,11387,11661,11930,12212,12515,12780,13070,13344,13623,13898,14171,14469,14797,15105,15417,15724,16061,16402,16697,17032,17350,17682,17994,18347,18684,19047,19409,19796,20190,20584,20952,21367,21759,22126,22529,22991,23433,23845,24285,24761,25237,25712,26193,26723,27227,27686,28180,28691,29205,29728,30234,30767,31342,31929,32496,33086,33687,34384,35007,35616,36274,36932,37578,38237,38924,39554,40207,40869,41584,42286,42976,43720,44457,45203,46023,46855,47660,48481,49295,50075,50857,51714,52603,53486,54439,55297,56211,57065,57989,58941,59828,60843,61906,62940,63955,64963,66048,67100,68187,69295,70331,71424,72571,73746,74819,76015,77232,78410,79587,80819,81984,83207,84403,85637,86860,88124,89386,90652,91990,93365,94692,96194,97585,99015,100465,101864,103286,104821,106369,107902,109477,111093,112715,114294,116052,117749,119478,121234,123050,124837,126686,128585,130460,132449,134390,136443,138480,140586,142709,144887,147128,149386,151582,153881,156201,158506,160943,163384,165891,168317,170864,173526,176192,178864,181513,184255,186954,189591,192481,195246,198118,201024,204062,206994,209952,212880,215985,219186,222269,225443,228678,231877,235120,238501,241921,245337,248935,252493,256083,259753,263592,267323,271123,274957,278728,282666,286743,290790,294946,299179,303386,307680,312031,316376,320902,325539,330208,334951,339684,344497,349311,354230,359329,364468,369678,374841,380151,385462,390958,396508,402166,407989,413797,419678,425655,431578,437650,443844,450172,456405,462822,469172,475528,482218,488821,495668,502618,509526,516533,523574,530802,538052,545394,552829,560401,567920,575717,583616,591462,599471,607572,615766,624008,632454,640887,649466,658054,666758,675773,684963,694109,703193,712564,722083,731527,741319,751095,761037,771291,781532,791678,802286,812790,823683,834573,845575,856616,867779,879246,890800,902608,914539,926412,938550,950741,963143,975548,988317,1001005,1013610,1026775,1040024,1053585,1067127,1080714,1094388,1108244,1122076,1136153,1150182,1164519,1178728,1193259,1207778,1222596,1237820,1252994,1268341,1283792
1,1,5,5,6,9,11,14,17,23,30,36,38,46,48,54,56,62,68,76,83,87,99,104,116,128,137,146,156,171,184,193,200,210,212,224,231,243,247,253,256,263,269,273,276,278,286,291,297,302,307,313,320,326,333,340,346,353,360,366,373,379,390,393,404,417,425,434,450,461,481,493,503,516,525,541,552,575,590,608,635,651,676,691,708,726,748,774,798,821,833,848,868,884,903,919,934,966,990,1010,1033,1055,1083,1114,1140,1162,1188,1224,1251,1278,1312,1338,1374,1395,1427,1449,1471,1493,1512,1540,1571,1600,1633,1658,1684,1715,1744,1775,1804,1845,1878,1912,1938,1973,2002,2027,2061,2094,2122,2151,2188,2212,2244,2291,2319,2367,2409,2447,2488,2528,2570,2611,2643,2684,2730,2776,2823,2871,2918,2962,3005,3058,3125,3174,3238,3297,3363,3428,3491,3542,3610,3676,3758,3833,3902,3961,4044,4112,4176,4251,4312,4401,4472,4543,4623,4694,4766,4872,4962,5038,5114,5186,5262,5327,5409,5471,5570,5661,5760,5857,5955,6045,6142,6264,6375,6490,6617,6732,6858,6982,7103,7227,7346,7491,7639,7779,7931,8052,8176,8302,8419,8545,8685,8823,8944,9091,9252,9410,9531,9663,9807,9941,10094,10259,10425,10592,10743,10891,11023,11185,11317,11490,11673,11840,12014,12205,12387,12560,12751,12957,13137,13319,13497,13678,13873,14067,14247,14449,14620,14831,15014,15220,15404,15614,15818,16018,16218,16430,16626,16799,17006,17211,17448,17655,17862,18083,18279,18487,18706,18939,19159,19363,19572,19771,19992,20198,20426,20647,20865,21102,21338,21597,21867,22106,22349,22607,22854,23134,23376,23645,23930,24189,24464,24739,25042,25342,25598,25867,26147,26463,26733,27028,27356,27660,28012,28331,28628,28950,29268,29612,29940,30300,30666,31064,31431,31778,32113,32524,32906,33345,33756,34168,34587,34964,35364,35783,36188,36594,37024,37471,37939,38375,38899,39400,39899,40343,40807,41278,41782,42288,42810,43330,43864,44406,44996,45552,46083,46699,47320,47915,48523,49158,49783,50457,51136,51807,52523,53206,53835,54565,55269,55941,56700,57440,58234,59042,59823,60618,61416,62173,62956,63777,64645,65511,66355,67227,68108,69032,69906,70803,71736,72630,73549,74539,75551,76529,77567,78615,79662,80696,81705,82794,83835,84923,86092,87233,88353,89525,90674,91915,93088,94301,95485,96687,98002,99243,100502,101825,103124,104453,105824,107145,108557,109946,111406,112868,114320,115861,117290,118811,120323,121847,123345,124916,126471,128099,129743,131468,133147,134856,136603,138384,140134,141937,143728,145589,147404,149222,151068,153018,155015,156981,158980,161018,163142,165246,167421,169623,171883,174125,176492,178820,181196,183639,186145,188579,191091,193594,196306,198983,201622,204391,207228,210110,213034,215923,218919,221931,224968,228123,231313,234414,237573,240840,244119,247479,250843,254276,257658,261185,264764,268531,272201,276044,279822,283613,287364
1,1,3,4,7,7,8,10,10,11,11,14,14,17,21,24,30,39,44,46,50,54,59,65,68,71,73,87,92,98,113,124,140,157,167,177,191,206,214,233,249,265,281,301,317,341,362,372,383,402,427,454,471,485,513,524,543,552,575,595,613,638,667,685,717,741,764,790,831,859,892,922,951,991,1026,1052,1078,1114,1149,1189,1232,1265,1304,1344,1386,1429,1457,1512,1563,1602,1651,1703,1753,1794,1824,1867,1908,1969,2012,2062,2110,2147,2191,2244,2316,2375,2423,2474,2518,2585,2652,2710,2763,2813,2874,2938,3012,3092,3162,3223,3306,3399,3477,3541,3629,3715,3811,3913,4016,4105,4202,4306,4401,4527,4632,4732,4826,4928,5033,5151,5262,5395,5500,5633,5743,5883,6016,6144,6271,6409,6553,6666,6787,6914,7062,7218,7354,7490,7626,7759,7901,8031,8151,8300,8472,8626,8788,8924,9074,9227,9369,9514,9662,9838,10007,10181,10378,10549,10735,10941,11100,11284,11473,11644,11831,12019,12213,12420,12596,12783,12980,13187,13406,13625,13827,14024,14224,14415,14660,14840,15049,15280,15491,15725,15940,16183,16411,16631,16838,17093,17330,17581,17852,18098,18355,18628,18861,19131,19382,19648,19919,20185,20429,20704,20984,21264,21500,21797,22085,22362,22624,22896,23168,23439,23728,24046,24314,24605,24949,25249,25550,25894,26229,26546,26882,27217,27524,27866,28230,28614,28979,29357,29747,30146,30546,30977,31413,31839,32271,32739,33212,33654,34104,34605,35138,35663,36185,36689,37191,37746,38304,38822,39359,39911,40519,41064,41604,42169,42740,43359,43923,44464,45053,45662,46289,46926,47553,48147,48753,49396,50083,50740,51441,52104,52759,53440,54120,54831,55539,56263,56952,57704,58416,59155,59933,60791,61603,62407,63216,64075,64884,65773,66674,67548,68445,69324,70219,71152,72094,73034,74044,75098,76175,77171,78254,79283,80331,81404,82495,83631,84828,85966,87094,88353,89569,90840,92105,93438,94710,96090,97448,98858,100266,101714,103151,104573,106066,107583,109195,110771,112358,113976,115583,117212,118886,120680,122387,124131,125865,127653,129462,131346,133218,135096,137016,138987,140884,142774,144662,146566,148469,150486,152472,154563,156674,158817,160920,163033,165188,167369,169597,171906,174247,176653,179034,181367,183777,186226,188678,191050,193476,195990,198613,201075,203767,206433,209073,211733,214520,217301,220001,222689,225547,228445,231347,234362,237419,240429,243571,246732,250081,253374,256629,260027,263322,266703,270108,273735,277298,280850,284427,288182,291822,295473,299354,303205,307175,311182,315235,319256,323226,327366,331602,335864,340198,344538,349101,353567,358088,362742,367422,372274,377016,381772,386805,391849,396929,402044,407101,412318,417623,423031,428352,433850,439472,445055,450720,456435,462205,468101,474071,480139,486270,492501,498811,505227,511756,518269,524890,531737,538673,545696,552668,559950,567427,574969,582421,590084,597901,605727,613573,621746,629897,638360,646824,655491,664164,672789,681841,690896,700020,709173,718449,728051,737730,747268,757067
1,1,1,1,1,1,2,3,4,5,7,9,15,17,18,22,22,27,28,32,38,44,49,55,62,67,76,86,93,103,109,122,135,150,171,181,191,211,226,235,248,268,292,303,318,329,342,362,383,404,426,447,470,489,517,554,565,589,625,648,694,721,740,764,807,829,873,918,954,990,1033,1077,1140,1182,1221,1281,1333,1389,1434,1485,1528,1577,1617,1676,1737,1802,1858,1924,1987,2065,2129,2201,2279,2361,2428,2494,2572,2654,2719,2801,2894,2984,3076,3175,3268,3356,3460,3555,3660,3765,3874,3979,4098,4185,4306,4420,4545,4676,4809,4945,5082,5218,5353,5487,5641,5808,5950,6097,6230,6354,6520,6670,6811,6972,7109,7258,7421,7582,7712,7844,7998,8163,8322,8490,8668,8851,9014,9182,9352,9520,9687,9876,10060,10225,10414,10592,10772,10960,11164,11379,11556,11750,11946,12164,12359,12532,12750,12992,13208,13408,13647,13882,14113,14359,14607,14825,15081,15306,15539,15801,16061,16312,16552,16779,17062,17343,17655,17951,18253,18552,18808,19118,19430,19762,20060,20372,20739,21065,21388,21701,22042,22396,22731,23101,23489,23878,24235,24642,25018,25427,25832,26221,26622,26992,27402,27854,28286,28722,29146,29627,30090,30567,31035,31538,32026,32531,33025,33557,34074,34624,35139,35744,36332,36950,37535,38148,38782,39419,39995,40678,41278,42006,42684,43398,44103,44853,45535,46277,47012,47776,48615,49423,50206,51013,51814,52673,53540,54398,55249,56135,57008,57884,58813,59749,60736,61664,62628,63650,64668,65618,66636,67631,68637,69709,70782,71890,72922,73992,75037,76121,77228,78366,79526,80723,81952,83198,84310,85568,86819,88086,89354,90731,92071,93439,94794,96148,97426,98837,100249,101645,103083,104501,106003,107533,109048,110593,112201,113849,115505,117114,118788,120535,122304,124004,125823,127646,129468,131307,133208,135181,137115,139046,141079,143065,145130,147222,149304,151407,153562,155729,157980,160239,162512,164756,167055,169387,171748,174087,176503,178879,181338,183809,186376,188891,191464,194203,196960,199701,202557,205457,208258,211188,214012,216955,219960,223189,226363,229635,232948,236267,239674,243102,246638,250112,253749,257464,261068,264778,268504,272254,276052,280137,284151,288038,291936,296045,300168,304341,308614,313073,317429,321994,326520,331106,335854,340582,345351,350319,355308,360254,365455,370472,375690,381003,386449,391905,397544,403142,408863,414468,420241,426039,432078,438147,444379,450655,457004,463375,469794,476352,482959,489584,496436,503397,510375,517473,524656,531857,539164,546508,553944,561654,569486,577456,585553,593680,602043,610169,618512,626891,635494,644321,653044,661975,671108,680474,689535,698962,708498,718186,728025,737964,747947,758285,768711,779124,789724,800612,811411,822403,833510,844927,856272,867915,879461,891378,903304,915356,927782,940127,952779,965604,978545,991527,1004564,1017928,1031226,1044951,1058831,1072676,1086856,1101210,1115695,1130197,1144922,1159911,1174808,1189658,1204950,1220402,1235894,1251621,1267412,1283177,1299434,1315844,1332372,1349093,1366089,1382945,1400145,1417036,1434372,1451887,1469569,1487291,1505585
1,1,4,5,6,8,10,11,14,17,17,21,25,28,34,43,50,52,65,71,77,83,90,96,106,115,127,137,145,156,166,180,194,210,223,235,248,258,275,294,310,329,346,362,376,389,409,428,444,453,478,496,523,537,558,581,610,638,665,685,713,740,768,789,811,855,887,927,966,1008,1044,1077,1108,1155,1204,1251,1290,1328,1377,1430,1483,1526,1574,1623,1676,1715,1763,1810,1854,1902,1942,1992,2045,2105,2179,2228,2289,2354,2418,2483,2538,2596,2663,2728,2790,2857,2919,2988,3073,3143,3224,3325,3410,3482,3566,3648,3729,3818,3905,3984,4073,4157,4248,4349,4462,4556,4650,4752,4852,4947,5048,5141,5247,5355,5448,5540,5637,5717,5794,5895,5977,6070,6151,6250,6330,6416,6489,6579,6670,6756,6837,6916,6989,7070,7168,7273,7363,7457,7559,7667,7764,7871,7965,8067,8167,8263,8360,8465,8577,8690,8770,8876,8983,9079,9177,9271,9383,9498,9605,9745,9880,9993,10133,10275,10417,10549,10684,10814,10941,11097,11213,11367,11527,11667,11800,11965,12127,12311,12479,12640,12792,12944,13129,13287,13460,13620,13777,13953,14107,14278,14466,14625,14792,14986,15171,15376,15567,15759,15976,16205,16413,16631,16848,17066,17276,17519,17762,18039,18318,18585,18851,19120,19365,19634,19907,20187,20429,20684,20972,21262,21529,21765,22039,22284,22532,22806,23066,23354,23619,23864,24147,24429,24716,24991,25283,25545,25841,26133,26440,26747,27053,27382,27723,28045,28366,28683,29003,29321,29635,29938,30273,30601,30975,31335,31699,32036,32398,32771,33176,33556,33924,34337,34729,35144,35569,35988,36467,36959,37456,37901,38385,38906,39401,39918,40418,40942,41533,42119,42705,43314,43933,44539,45170,45778,46414,47036,47738,48443,49129,49848,50577,51268,52001,52721,53512,54279,55024,55814,56595,57394,58207,59011,59854,60712,61507,62354,63248,64139,65021,65950,66791,67727,68617,69551,70590,71578,72633,73647,74702,75752,76792,77892,78937,79996,81131,82239,83434,84557,85766,86941,88164,89392,90650,91896,93113,94463,95826,97182,98520,99827,101258,102644,104080,105518,107020,108486,109943,111443,112957,114515,116096,117704,119372,121036,122791,124544,126291,128058,129776,131641,133485,135391,137302,139258,141259,143221,145204,147202,149274,151324,153410,155604,157800,160045,162179,164303,166623,168922,171298,173778,176251,178757,181250,183768,186296,188900,191525,194204,196960,199684,202440,205311,208277,211281,214250,217236,220434,223670,226891,230223,233433,236853,240274,243795,247341,250825,254390,258069,261806,265677,269466,273202,277109,281020,285098,289256,293418,297621,301938,306160,310548,314969,319393,323951,328504,333092,337795,342435,347324,352138,356984,362030,367217,372572,377857,383281,388631,394239,399732,405337,410905,416816,422775,428804,434917,441132,447431,453818,460207,466868,473485,480151,486947,493718,500631,507602,514737,521763,529024,536493,544130,551832,559575,567383,575221,583172,591360,599554,608109,616698,625252,633958,642750,651728,660591,669718,678797
1,1,1,1,1,1,1,2,7,8,10,16,21,22,24,28,35,40,49,60,72,81,95,102,110,119,133,141,155,166,180,192,200,212,229,243,254,258,266,270,279,286,288,292,296,299,306,314,320,333,349,355,368,381,389,401,409,415,421,429,434,441,456,462,467,473,482,492,501,509,521,531,551,559,565,581,590,603,617,637,649,660,672,686,699,710,728,742,756,780,796,817,844,863,883,900,923,941,959,976,995,1012,1031,1051,1077,1106,1124,1148,1165,1179,1207,1230,1267,1275,1298,1323,1347,1376,1404,1425,1446,1464,1487,1522,1553,1587,1614,1645,1669,1699,1723,1765,1806,1842,1862,1886,1930,1980,2011,2048,2075,2107,2134,2181,2221,2259,2313,2365,2414,2459,2518,2571,2629,2699,2759,2820,2894,2957,3010,3087,3164,3252,3323,3408,3493,3583,3682,3772,3854,3959,4074,4154,4258,4366,4455,4542,4649,4735,4826,4941,5067,5180,5298,5387,5478,5608,5735,5872,5976,6097,6225,6341,6484,6604,6751,6883,7031,7169,7335,7464,7615,7779,7940,8101,8262,8447,8658,8855,9032,9235,9456,9675,9888,10093,10309,10534,10767,10995,11246,11483,11746,11969,12205,12444,12702,12971,13260,13562,13808,14086,14378,14682,14986,15297,15606,15940,16266,16557,16890,17232,17557,17910,18272,18629,18947,19287,19634,20041,20394,20764,21142,21449,21810,22125,22447,22821,23213,23583,23971,24312,24698,25067,25432,25811,26183,26611,27008,27411,27822,28186,28578,28981,29396,29848,30278,30710,31139,31608,32076,32497,32996,33459,33960,34406,34913,35393,35909,36440,36917,37450,38025,38598,39105,39649,40195,40764,41328,41910,42492,43081,43652,44216,44813,45392,45981,46570,47130,47756,48346,48965,49539,50160,50831,51488,52178,52833,53476,54150,54904,55604,56329,57063,57777,58455,59138,59901,60590,61289,62031,62776,63565,64356,65110,65844,66635,67416,68253,69029,69840,70670,71510,72407,73289,74195,75094,76017,76924,77867,78892,79881,80845,81861,82951,84044,85059,86140,87175,88282,89412,90574,91629,92770,93945,95096,96246,97368,98541,99757,100944,102144,103363,104633,105937,107220,108533,109845,111177,112605,113995,115423,116881,118358,119885,121421,122966,124497,126159,127789,129439,131092,132807,134579,136392,138172,139968,141851,143638,145403,147273,149201,151111,153125,155133,157131,159233,161289,163330,165487,167592,169842,172109,174361,176687,179078,181483,183925,186469,189046,191563,194142,196736,199340,201976,204685,207535,210371,213123,216032,218899,221873,224849,227797,230879,233976,237035,240231,243366,246566,249810,253123,256581,259985,263241,266617,269960,273451,277072,280608,284172,287804,291462,295267,299085,302951,306802,310753,314803,318832,322798,326814,330953,335237,339465,343763,348042,352506,357123,361784,366406,371098,375887,380683,385572,390410,395402,400463,405558,410625,415944,421299,426812,432327,437895,443585,449296,455222,461201,467098,473199,479307,485593,491910,498335,504761,511287,517955,524604
1,1,1,2,2,5,7,8,10,10,10,12,14,16,18,20,20,21,22,23,24,27,27,27,27,32,33,33,36,41,46,53,57,64,68,75,79,89,95,102,112,122,128,137,149,160,166,173,182,187,195,206,211,219,223,226,233,236,241,244,252,262,271,281,287,295,303,309,313,318,325,332,341,349,355,364,376,385,397,403,416,422,439,446,454,467,479,486,496,504,518,537,547,568,583,607,629,658,692,723,745,768,799,822,846,875,913,936,970,1002,1036,1071,1104,1130,1165,1201,1240,1283,1316,1340,1380,1414,1450,1497,1532,1576,1612,1657,1706,1752,1799,1851,1913,1964,2020,2071,2124,2203,2265,2318,2381,2436,2491,2572,2655,2740,2815,2880,2949,3027,3093,3172,3240,3322,3409,3484,3565,3637,3730,3826,3900,3998,4106,4204,4309,4396,4510,4597,4680,4785,4900,4991,5084,5197,5311,5408,5517,5625,5756,5894,6049,6162,6315,6456,6577,6697,6817,6941,7075,7220,7352,7499,7654,7818,7973,8143,8286,8449,8587,8753,8925,9074,9223,9407,9572,9756,9914,10078,10276,10447,10619,10804,11002,11188,11362,11563,11778,11980,12192,12396,12609,12818,13071,13272,13498,13725,13957,14183,14441,14651,14928,15198,15455,15742,15995,16232,16495,16739,16999,17240,17510,17798,18078,18338,18634,18886,19153,19410,19688,19966,20229,20486,20758,21043,21303,21556,21826,22115,22395,22679,22974,23322,23629,23932,24248,24569,24851,25192,25539,25887,26221,26576,26933,27298,27696,28050,28450,28866,29250,29630,30032,30437,30844,31246,31697,32160,32632,33110,33602,34080,34559,35086,35605,36113,36648,37179,37704,38234,38782,39392,40026,40563,41153,41713,42286,42933,43532,44147,44781,45466,46071,46724,47333,47943,48618,49267,49939,50629,51299,52038,52831,53525,54299,55063,55802,56581,57375,58163,58907,59704,60541,61420,62285,63114,64005,64913,65796,66722,67704,68632,69590,70583,71597,72567,73590,74671,75739,76868,77986,79078,80209,81275,82435,83614,84854,86052,87189,88454,89713,90942,92245,93547,94903,96340,97685,99042,100379,101771,103231,104673,106146,107718,109269,110847,112427,114042,115712,117326,118975,120691,122403,124197,126014,127906,129788,131745,133674,135706,137627,139671,141736,143746,145800,147924,150088,152384,154686,157017,159271,161632,164113,166481,168944,171372,173854,176371,178918,181516,184115,186717,189339,191948,194628,197363,200125,202844,205752,208628,211585,214539,217581,220579,223662,226701,229855,233072,236260,239479,242771,246048,249443,252822,256329,259779,263294,266899,270605,274387,278075,281901,285613,289449,293440,297368,301293,305378,309606,313841,318120,322471,326751,331185,335733,340325,344847,349549,354249,359044,364036,368968,373952,379089,384176,389407,394730,400148,405442,411075,416877,422553,428382,434303,440344,446456,452612,458868,465253,471729,478305,484997,491643,498454,505405,512417,519495,526653,533795,541292,548676,556187,563893,571689,579437,587394,595447,603647,612058
1,1,1,1,1,1,1,1,2,4,4,5,7,8,11,13,16,18,24,28,29,34,39,43,47,53,68,80,89,99,107,113,118,124,133,149,161,173,188,204,215,233,245,258,270,279,288,308,324,339,347,359,367,384,401,417,435,459,482,503,519,538,560,579,607,624,648,662,691,714,732,749,769,784,803,822,843,862,878,900,910,928,952,978,993,1014,1028,1052,1072,1091,1109,1138,1153,1176,1195,1214,1244,1276,1307,1329,1352,1383,1414,1442,1477,1509,1534,1564,1604,1641,1671,1712,1754,1799,1857,1896,1944,1987,2028,2085,2126,2188,2243,2309,2354,2411,2468,2539,2610,2670,2732,2804,2878,2932,3002,3069,3122,3194,3258,3322,3382,3453,3503,3558,3614,3674,3718,3793,3858,3911,3973,4013,4081,4128,4173,4226,4278,4328,4381,4424,4465,4535,4587,4644,4692,4743,4797,4848,4903,4967,5019,5062,5118,5172,5222,5283,5333,5381,5425,5487,5562,5613,5669,5718,5767,5822,5885,5937,5990,6049,6104,6145,6201,6248,6299,6341,6393,6471,6539,6615,6669,6740,6818,6894,6960,7020,7093,7181,7252,7323,7402,7482,7552,7613,7670,7759,7834,7907,7982,8061,8143,8212,8288,8367,8447,8518,8593,8656,8742,8821,8887,8975,9047,9135,9216,9292,9353,9427,9498,9568,9631,9705,9780,9848,9919,9978,10051,10119,10201,10287,10368,10441,10519,10600,10679,10769,10877,10958,11032,11113,11223,11335,11423,11520,11608,11689,11763,11876,11983,12091,12210,12316,12412,12516,12616,12746,12863,12965,13100,13235,13358,13487,13609,13746,13874,14016,14140,14266,14378,14514,14644,14779,14909,15043,15189,15343,15502,15638,15753,15863,15982,16103,16235,16380,16529,16681,16827,16960,17094,17262,17409,17562,17712,17890,18059,18226,18388,18553,18750,18923,19109,19290,19497,19672,19865,20089,20288,20479,20687,20899,21109,21288,21500,21730,21941,22188,22437,22690,22925,23162,23408,23633,23867,24117,24333,24588,24835,25111,25385,25610,25868,26108,26348,26630,26864,27103,27356,27602,27873,28134,28403,28673,28973,29243,29537,29831,30105,30424,30735,31043,31342,31708,32015,32320,32691,33068,33423,33789,34140,34520,34853,35276,35662,36087,36465,36892,37332,37762,38197,38579,39009,39496,39965,40411,40889,41343,41794,42267,42719,43209,43716,44184,44703,45215,45766,46300,46853,47394,47964,48549,49169,49755,50357,51007,51695,52333,53059,53762,54460,55173,55905,56714,57551,58340,59160,59985,60799,61633,62476,63357,64241,65107,65990,66881,67758,68652,69572,70450,71361,72300,73236,74193,75147,76097,77064,78074,79068,80126,81215,82227,83287,84297,85358,86457,87524,88635,89764,90928,92080,93263,94407,95562,96807,98080,99354,100624,101937,103280,104622,105972,107374,108775,110178,111596,112967,114397,115818,117287,118766,120300,121863,123502,125135,126787,128432,130192,131930,133694,135460,137223,139113,141082,143010,144988,147033,149150,151226
1,1,1,1,1,3,3,5,6,13,16,21,24,33,39,42,45,57,63,70,80,88,100,114,123,129,134,147,161,172,189,198,211,222,233,250,260,275,295,311,320,330,343,364,382,397,408,422,440,455,481,503,526,551,576,603,631,661,689,720,751,791,826,860,905,945,984,1023,1062,1094,1125,1168,1202,1237,1277,1324,1362,1392,1437,1487,1528,1570,1609,1655,1701,1759,1809,1867,1926,2002,2060,2105,2167,2229,2298,2367,2417,2472,2541,2609,2674,2736,2798,2859,2918,2981,3049,3142,3226,3316,3407,3488,3560,3639,3727,3827,3914,3997,4097,4189,4291,4397,4485,4594,4706,4812,4908,5016,5130,5245,5332,5445,5540,5645,5725,5842,5955,6062,6171,6286,6415,6530,6658,6764,6861,6959,7090,7218,7337,7461,7590,7724,7886,8006,8144,8284,8438,8580,8745,8904,9057,9209,9356,9524,9685,9829,9960,10098,10222,10389,10542,10691,10841,11000,11160,11309,11465,11617,11776,11935,12083,12266,12432,12612,12761,12944,13111,13272,13430,13619,13817,14020,14237,14456,14669,14874,15083,15265,15482,15712,15945,16149,16405,16626,16865,17110,17361,17558,17756,17989,18226,18464,18732,18963,19194,19450,19712,19952,20214,20484,20751,21035,21314,21614,21921,22226,22571,22899,23200,23551,23915,24224,24599,24971,25354,25691,26082,26497,26874,27248,27613,27987,28373,28728,29089,29508,29867,30302,30719,31072,31463,31883,32273,32637,33044,33459,33843,34233,34646,35074,35494,35913,36368,36788,37254,37737,38215,38683,39147,39668,40183,40757,41319,41900,42435,42994,43599,44204,44841,45419,46060,46698,47342,48025,48656,49353,50080,50814,51466,52185,52928,53687,54412,55216,56020,56819,57686,58566,59414,60251,61163,62085,63006,63941,64905,65915,66843,67811,68744,69728,70704,71722,72725,73710,74782,75889,76991,78146,79237,80376,81497,82588,83777,85000,86197,87408,88600,89833,91053,92317,93632,94950,96289,97702,99095,100499,101960,103432,104901,106407,107937,109502,110976,112517,114216,115793,117466,119098,120771,122433,124105,125873,127676,129447,131195,132951,134724,136617,138480,140372,142275,144268,146213,148202,150151,152263,154266,156413,158540,160619,162747,164971,167198,169408,171731,174001,176306,178579,180963,183300,185709,188147,190713,193195,195654,198124,200794,203313,205958,208629,211365,214071,216820,219616,222431,225291,228217,231180,234247,237341,240407,243656,246916,250203,253582,256963,260273,263714,267234,270923,274652,278378,282187,286006,290011,293881,297894,302008,306096,310319,314588,318796,323159,327539,332078,336688,341352,346020,350707,355415,360275,365268,370415,375514,380809,386052,391382,396717,402216,407808,413311,419067,424667,430552,436514,442716,448872,454961,461356,467786,474222,480819,487508,494368,501242,508263,515346,522546,529918,537270,544804,552529,560259,568135,576177,584138,592273,600502,608879,617269,625719,634432,643329,652049,661005,670024,679048,688273,697509,706943,716582,726314,736282,746196,756310,766559,776999,787410,798051,808948,820043,831148,842294,853753,865266,876999,888629
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1,1,1,1,1,1,1,1,4,4,4,5,5,6,6,6,7,7,9,11,12,12,12,12,13,14,20,24,25,29,32,36,38,39,41,43,47,53,60,66,72,78,90,101,117,124,130,136,148,159,172,181,192,196,208,221,230,239,253,267,292,304,324,332,346,367,383,397,412,428,444,459,479,506,530,552,581,611,640,664,688,717,743,775,803,835,872,904,937,967,994,1015,1045,1085,1127,1161,1187,1220,1259,1294,1328,1360,1384,1428,1462,1491,1529,1576,1618,1661,1695,1734,1772,1819,1864,1906,1949,2006,2053,2104,2151,2194,2249,2297,2356,2424,2483,2537,2601,2660,2732,2800,2871,2941,3021,3090,3159,3244,3345,3438,3523,3618,3695,3777,3874,3964,4074,4197,4312,4426,4541,4652,4762,4859,4956,5069,5192,5286,5389,5508,5628,5732,5826,5933,6055,6156,6251,6368,6479,6577,6666,6772,6892,7022,7142,7260,7390,7513,7648,7784,7910,8024,8150,8287,8414,8540,8690,8811,8939,9097,9228,9387,9548,9724,9878,10033,10205,10384,10559,10738,10906,11091,11276,11480,11690,11924,12112,12318,12566,12793,13054,13303,13559,13804,14040,14321,14604,14858,15117,15385,15683,15938,16205,16507,16780,17080,17361,17676,17963,18268,18581,18903,19215,19555,19892,20209,20521,20868,21209,21600,21954,22301,22674,23052,23448,23825,24202,24594,25018,25427,25830,26237,26681,27095,27575,28018,28483,28979,29445,29924,30350,30858,31336,31814,32316,32782,33298,33870,34408,34978,35564,36106,36656,37247,37852,38415,39019,39643,40256,40874,41579,42223,42946,43646,44315,45049,45786,46523,47287,48071,48809,49610,50413,51205,52010,52888,53755,54620,55550,56518,57454,58389,59315,60252,61206,62220,63171,64183,65189,66192,67239,68235,69237,70320,71298,72421,73504,74624,75756,76855,78015,79201,80427,81569,82712,83931,85127,86311,87554,88824,90061,91354,92657,93999,95418,96802,98124,99555,101016,102502,104035,105643,107194,108727,110304,111896,113674,115432,117098,118908,120700,122529,124289,126136,128024,129901,131881,133842,135882,137914,140009,142126,144279,146430,148661,150867,153119,155359,157699,160110,162569,164934,167376,170000,172584,175240,177854,180608,183227,185980,188772,191518,194287,197109,200002,202840,205908,208954,212085,215117,218265,221376,224637,227848,231116,234301,237541,240888,244360,247803,251216,254696,258269,261783,265426,269018,272721,276484,280340,284239,288148,292155,296189,300371,304384,308644,312854,317124,321392,325756,330266,334780,339365,343922,348548,353222,357995,362729,367637,372459,377549,382604,387806,393063,398405,403714,409195,414669,420193,425844,431573,437348,443160,449140,455163,461331,467284,473403,479643,486053,492326,498804,505417,512085,518799,525754,532887,539889,546987,554130,561418,568800,576425,584032,591954,599566,607208,615022,623085,631364,639446,647962,656703,665548,674332,683434,692384,701683,710840,720065,729577,739313,749223,759200,769201,779246,789443,799888,810317,821059,831761,842791,853976,865086,876310,887630,899005
1,1,1,1,1,3,5,6,6,8,10,14,17,20,24,28,37,40,47,53,59,62,69,75,81,94,100,107,117,123,134,142,156,163,172,181,185,194,198,208,216,219,224,232,239,246,252,256,264,269,278,284,293,300,314,328,338,349,359,369,380,389,406,417,433,454,479,497,520,548,564,587,607,629,647,672,691,711,747,774,802,823,845,883,910,940,967,1009,1043,1062,1096,1123,1159,1193,1233,1279,1317,1349,1400,1462,1517,1568,1611,1666,1716,1777,1838,1898,1957,2004,2068,2125,2184,2248,2318,2380,2430,2475,2537,2612,2680,2732,2781,2834,2894,2959,3011,3066,3138,3208,3291,3356,3435,3511,3587,3671,3755,3851,3937,4023,4123,4206,4291,4395,4486,4595,4698,4791,4900,4996,5105,5201,5298,5418,5531,5629,5766,5880,5998,6110,6228,6334,6446,6561,6698,6809,6936,7074,7204,7336,7464,7620,7759,7888,8026,8151,8297,8444,8578,8708,8853,9017,9202,9352,9519,9693,9862,10017,10191,10367,10579,10753,10946,11116,11304,11511,11695,11878,12061,12268,12466,12679,12893,13126,13366,13586,13839,14058,14279,14493,14723,14975,15241,15482,15701,15989,16243,16489,16734,17021,17313,17591,17874,18176,18469,18749,19036,19316,19621,19922,20251,20577,20879,21215,21551,21874,22206,22516,22830,23159,23503,23888,24246,24619,24974,25310,25684,26035,26391,26767,27180,27583,27964,28382,28821,29274,29704,30139,30571,31031,31479,31960,32381,32885,33432,34005,34539,35058,35634,36193,36788,37408,37993,38586,39223,39856,40457,41088,41659,42290,42980,43582,44242,44898,45545,46205,46847,47511,48147,48795,49477,50154,50880,51526,52237,52907,53627,54331,55007,55727,56461,57261,58015,58769,59579,60383,61155,61960,62788,63657,64430,65304,66126,66987,67823,68626,69421,70304,71153,71958,72810,73657,74555,75407,76288,77138,78078,78991,79942,80866,81755,82717,83666,84703,85679,86727,87780,88795,89897,91039,92198,93348,94447,95648,96890,98111,99396,100781,102082,103438,104809,106312,107806,109251,110724,112347,113883,115442,117031,118711,120397,122029,123686,125387,127144,128866,130655,132500,134316,136153,138062,139939,141934,143950,145956,147957,150085,152131,154235,156314,158458,160660,162956,165269,167596,169996,172334,174796,177296,179836,182388,185039,187668,190314,193150,195944,198743,201573,204419,207318,210168,213120,216094,219204,222359,225504,228704,231968,235233,238578,241916,245364,248832,252360,255993,259850,263597,267312,271223,275249,279244,283237,287254,291321,295627,299885,304246,308627,313095,317530,322040,326599,331194,335940,340662,345623,350448,355565,360494,365650,370886,376049,381373,386805,392425,398045,403647,409375,415108,421095,426922,432831,438917,445160,451545,457947,464479,471125,477934,484886,491855,498771,505955,513188,520627,528125,535644,543357,551053,558928,566863,574716,582862,590865,598938,607291,615802,624479,633226,641899,650953,660215,669335,678536,687889,697479,707223,716966,726902,737099,747433,757768,768308,778989,789796,800795,812004
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1,1,1,3,5,6,8,8,8,10,12,12,13,19,25,30,34,44,50,59,68,76,84,97,107,119,138,153,163,177,197,214,233,252,268,290,308,322,334,350,361,377,386,399,416,431,444,464,476,495,512,522,540,554,571,590,609,629,653,674,705,726,745,770,792,833,871,901,924,957,987,1024,1061,1091,1131,1157,1195,1241,1276,1325,1370,1427,1471,1533,1589,1641,1713,1768,1842,1899,1975,2031,2104,2196,2266,2338,2421,2489,2555,2630,2684,2756,2831,2910,2990,3065,3145,3217,3300,3387,3466,3553,3630,3713,3798,3894,3980,4069,4177,4271,4361,4439,4527,4641,4755,4860,4958,5051,5162,5281,5386,5504,5620,5727,5847,5954,6071,6198,6330,6448,6559,6691,6799,6943,7083,7218,7359,7520,7664,7822,7973,8139,8301,8478,8639,8782,8952,9143,9316,9506,9702,9889,10061,10245,10412,10591,10799,10988,11156,11349,11572,11774,12002,12225,12461,12704,12915,13163,13400,13643,13876,14120,14345,14588,14855,15111,15385,15633,15898,16179,16467,16741,16994,17271,17539,17824,18069,18359,18640,18956,19278,19577,19876,20196,20519,20832,21151,21493,21789,22118,22481,22824,23179,23513,23875,24248,24639,25038,25438,25862,26302,26737,27171,27661,28132,28596,29100,29558,30057,30588,31106,31607,32147,32749,33272,33807,34344,34891,35446,36088,36669,37305,37951,38533,39195,39845,40455,41123,41815,42507,43136,43824,44491,45192,45898,46592,47216,47924,48691,49456,50134,50916,51700,52431,53218,53965,54764,55597,56441,57242,58117,58909,59754,60623,61511,62447,63370,64283,65213,66179,67139,68133,69150,70124,71152,72132,73119,74212,75310,76380,77506,78628,79797,80927,82095,83297,84559,85818,87108,88415,89796,91151,92552,93895,95217,96586,98006,99526,101066,102581,104118,105652,107260,108848,110456,112088,113780,115454,117141,118873,120645,122417,124177,126060,127937,129837,131859,133916,135836,137829,139858,141876,144010,146158,148322,150482,152670,155003,157381,159838,162204,164560,166988,169500,172029,174652,177325,180058,182829,185539,188418,191180,193946,196986,199936,202833,205792,208919,212078,215317,218495,221742,225022,228312,231674,235140,238671,242246,245908,249482,253286,257059,260940,264848,268742,272756,276834,280942,285071,289210,293527,297898,302314,306835,311277,315871,320382,324981,329598,334431,339287,344185,349178,354281,359418,364572,369751,374947,380298,385726,391221,396803,402583,408344,414223,420006,425850,431824,438055,444251,450505,456963,463472,470047,476711,483356,490168,496972,504085,511159,518510,525965,533393,540937,548615,556278,564142,572113,580173,588086,596143,604262,612808,621127,629718,638292,646999,655850,664755,673778,682840,692004,701158,710788,720303,730146,739798,749686,759677,769669,780178,790680,801247,811764,822374,833263,844231,855375,866634,877992,889368,900898,912538,924359,936312,948447,960842,973213,985697,998262,1010899,1023851,1036819,1049848,1063107,1076527,1089965,1103609,1117467,1131347,1145451,1159833,1174620,1189403,1204337,1219400,1234523,1249873,1265208,1280897,1296736,1312756,1329026,1345274,1361801,1378693,1395587
1,1,1,1,1,1,1,1,2,2,6,9,11,12,14,15,19,23,26,28,31,37,39,39,49,56,63,67,73,82,92,100,104,115,126,133,147,154,164,177,185,193,204,208,210,220,225,231,234,241,247,254,257,263,267,270,279,285,291,298,304,308,314,319,326,331,336,340,348,353,365,377,391,403,412,423,431,442,457,472,492,503,515,536,556,572,594,608,627,654,676,692,704,718,735,761,785,808,837,858,875,897,928,959,992,1017,1054,1082,1113,1143,1180,1221,1260,1304,1359,1396,1441,1490,1543,1594,1643,1693,1747,1805,1874,1947,2025,2085,2157,2215,2266,2337,2404,2469,2551,2625,2698,2764,2826,2902,2973,3033,3090,3165,3237,3300,3379,3457,3536,3638,3723,3821,3909,3998,4081,4172,4240,4330,4414,4507,4603,4703,4799,4905,5001,5101,5220,5342,5456,5567,5673,5785,5901,6020,6152,6269,6407,6524,6674,6813,6963,7094,7234,7379,7552,7708,7862,8017,8179,8319,8470,8625,8782,8955,9111,9268,9457,9628,9809,9971,10162,10373,10558,10742,10955,11147,11390,11597,11796,12003,12226,12452,12678,12900,13124,13341,13542,13756,13977,14193,14433,14688,14910,15188,15435,15663,15899,16144,16371,16609,16876,17119,17381,17646,17946,18185,18471,18767,19053,19334,19603,19902,20205,20500,20818,21143,21442,21741,22043,22373,22699,23064,23410,23756,24121,24492,24876,25261,25626,26045,26441,26875,27307,27812,28255,28747,29211,29682,30137,30574,31037,31573,32091,32614,33149,33745,34345,34895,35467,36025,36577,37152,37715,38305,38897,39511,40118,40753,41396,42050,42738,43445,44173,44857,45572,46274,47042,47818,48613,49436,50264,51090,51908,52814,53664,54519,55463,56348,57317,58246,59246,60188,61172,62120,63079,64081,65132,66175,67263,68307,69325,70454,71662,72793,73905,75108,76316,77479,78724,80012,81231,82570,83954,85307,86677,88072,89443,91006,92440,93901,95392,96809,98316,99835,101423,102955,104494,106154,107766,109418,111103,112929,114722,116429,118234,120079,121945,123843,125873,127854,129796,131867,133851,135962,138105,140262,142503,144725,146980,149383,151742,154172,156580,159054,161479,164005,166646,169294,171835,174467,177156,179846,182570,185383,188172,191083,193999,196923,199765,202758,205808,208930,211992,215270,218499,221838,225165,228574,232032,235618,239250,242951,246696,250408,254236,258237,262299,266416,270559,274819,279121,283465,287822,292206,296686,301305,305875,310475,315278,320111,325043,330001,335009,339984,345212,350333,355657,360983,366477,371940,377365,383064,388711,394413,400315,406311,412276,418456,424554,430821,437223,443600,450109,456652,463334,470069,476808,483765,490793,497927,505082,512419,519885,527284,534896,542481,550184,558058,565908,574042,582423,590814,599143,607582,616140,624789,633551,642519,651419,660417,669696,679212,688550,698348,708003,717759,727802,738129,748355,758633,769256,779774,790548,801364,812248,823317,834721,846209,857678,869386,881120,892955,904820,916876,929108,941325,953611
1,1,1,1,2,3,5,5,6,11,14,15,15,18,19,21,27,34,40,46,53,66,70,75,80,88,102,110,116,127,141,152,163,169,174,183,195,203,214,220,229,234,241,246,255,260,267,271,276,279,284,291,294,301,304,307,309,312,319,323,327,333,340,342,347,355,367,374,383,395,406,422,432,441,457,475,497,515,535,554,572,586,600,616,640,668,690,716,730,756,776,798,823,837,863,879,899,922,946,968,991,1020,1043,1074,1102,1134,1159,1177,1212,1239,1275,1316,1344,1378,1422,1464,1509,1546,1590,1631,1675,1712,1756,1806,1849,1890,1930,1966,1999,2041,2085,2135,2166,2216,2253,2292,2332,2374,2418,2465,2518,2572,2621,2680,2743,2796,2858,2909,2981,3037,3101,3175,3269,3333,3428,3510,3593,3671,3748,3814,3878,3987,4066,4158,4231,4333,4416,4498,4577,4669,4752,4833,4908,4981,5077,5142,5226,5300,5385,5456,5533,5610,5679,5750,5819,5875,5949,6002,6060,6118,6177,6239,6296,6362,6418,6483,6546,6598,6665,6721,6766,6839,6899,6956,7024,7080,7161,7214,7295,7382,7474,7553,7635,7711,7799,7879,7979,8059,8145,8245,8356,8464,8557,8657,8759,8867,8999,9111,9221,9327,9423,9525,9642,9757,9866,9982,10105,10220,10353,10482,10604,10715,10848,10985,11112,11247,11380,11530,11660,11817,11959,12105,12283,12419,12574,12739,12892,13064,13252,13422,13602,13781,13950,14133,14311,14519,14677,14877,15102,15307,15528,15762,15990,16241,16466,16720,16990,17266,17508,17809,18071,18361,18634,18934,19281,19587,19885,20201,20519,20843,21184,21497,21788,22119,22405,22727,23058,23381,23720,24055,24387,24729,25112,25447,25771,26117,26458,26788,27150,27536,27881,28261,28644,29049,29472,29874,30300,30716,31134,31551,32004,32446,32899,33374,33881,34358,34860,35360,35847,36294,36784,37316,37855,38350,38852,39412,39909,40481,41008,41515,42061,42579,43155,43766,44335,44956,45523,46124,46722,47371,48019,48707,49395,50092,50813,51546,52233,52968,53710,54488,55219,56028,56819,57655,58527,59387,60244,61024,61890,62776,63643,64554,65406,66358,67276,68160,69081,69968,70890,71844,72844,73881,74893,75919,77041,78056,79163,80287,81410,82527,83685,84830,85981,87165,88423,89698,90964,92254,93540,94910,96251,97619,99056,100507,101989,103470,105016,106539,108087,109641,111313,113011,114698,116472,118141,119846,121617,123419,125319,127262,129206,131154,133095,135170,137246,139407,141506,143652,145893,148174,150534,152899,155324,157715,160218,162705,165297,168026,170861,173679,176512,179311,182171,185151,188190,191284,194455,197609,200877,204102,207530,211033,214429,218025,221570,225113,228825,232540,236363,240272,244268,248129,252200,256321,260410,264493,268656,272867,276994,281342,285713,290363,294775,299365,304074,308783,313504,318285,323168,328232,333308,338509,343737,349072,354372,359779,365125,370877,376688,382425,388406,394378,400500,406697,412922,419091,425488
1,1,1,1,1,2,3,4,6,6,9,10,11,13,16,17,23,27,29,33,37,45,52,58,67,75,80,88,94,99,107,120,129,135,143,155,164,177,188,198,209,218,230,238,248,254,261,267,281,289,302,312,329,342,346,358,369,380,398,416,423,434,448,457,471,485,504,518,530,548,566,576,591,608,633,649,672,695,715,743,770,789,806,827,854,871,900,933,954,981,1005,1040,1064,1087,1109,1132,1159,1181,1213,1230,1247,1271,1290,1313,1338,1363,1393,1417,1444,1476,1510,1537,1576,1601,1625,1656,1686,1717,1767,1815,1866,1903,1959,2001,2046,2096,2145,2201,2248,2293,2346,2398,2450,2489,2534,2582,2634,2664,2717,2753,2804,2848,2897,2936,2979,3027,3069,3103,3154,3205,3266,3307,3358,3408,3458,3508,3571,3628,3689,3762,3826,3903,3971,4039,4111,4179,4257,4348,4436,4513,4608,4681,4783,4855,4931,5024,5109,5200,5276,5369,5445,5522,5618,5715,5800,5875,5968,6072,6154,6272,6379,6476,6599,6700,6812,6923,7042,7173,7280,7398,7522,7655,7808,7954,8124,8264,8399,8556,8718,8883,9073,9235,9413,9585,9780,9960,10182,10388,10583,10787,11031,11261,11480,11695,11904,12109,12347,12594,12838,13084,13324,13595,13862,14153,14422,14670,14919,15198,15451,15698,15979,16226,16515,16827,17143,17420,17744,18033,18368,18702,19081,19440,19797,20146,20487,20831,21155,21504,21833,22175,22563,22904,23273,23640,24004,24362,24728,25064,25440,25812,26187,26557,26952,27315,27701,28076,28451,28892,29283,29710,30140,30551,30979,31407,31846,32294,32748,33153,33615,34067,34530,35007,35479,35963,36433,36919,37348,37835,38337,38813,39347,39867,40369,40874,41388,41920,42420,42945,43545,44104,44634,45176,45733,46343,46955,47569,48179,48861,49544,50184,50855,51529,52221,52907,53637,54373,55142,55865,56580,57325,58102,58964,59724,60551,61409,62241,63117,63951,64795,65676,66554,67417,68317,69215,70181,71147,72124,73089,74098,75165,76240,77283,78339,79368,80429,81495,82654,83748,84870,85992,87140,88255,89384,90536,91726,92940,94160,95419,96564,97797,99044,100337,101704,103100,104372,105737,107104,108445,109819,111250,112733,114221,115671,117226,118748,120305,121780,123387,125044,126672,128366,130110,131917,133653,135396,137181,139008,140828,142780,144706,146656,148478,150403,152433,154383,156427,158557,160557,162656,164820,166841,168940,171164,173321,175528,177771,179950,182212,184482,186891,189298,191770,194228,196714,199159,201715,204247,206893,209587,212298,215043,217871,220757,223612,226457,229476,232579,235564,238775,241841,244997,248258,251431,254710,258008,261421,264670,268099,271567,275061,278559,282164,285844,289531,293364,297160,300978,304794,308741,312708,316769,320911,325021,329228,333502,337936,342328,346767,351317,355929,360638,365252,369972,374844,379779,384603,389618,394710,399756,405018,410311,415716,421097,426418,431899,437316,442867,448529,454151,459845,465722,471486,477365,483324,489379,495539,501782
1,1,1,1,3,4,7,7,9,11,16,19,24,29,30,35,41,47,49,55,59,64,71,75,81,90,103,112,120,125,134,143,154,162,171,176,187,195,202,209,219,223,235,242,252,255,258,274,280,288,305,312,323,336,345,358,380,398,420,439,462,483,511,525,549,575,609,629,649,675,702,729,754,786,826,856,893,918,956,986,1008,1039,1078,1112,1138,1176,1198,1236,1261,1293,1327,1364,1412,1443,1479,1516,1562,1606,1642,1692,1726,1765,1815,1859,1908,1955,2018,2073,2120,2178,2243,2295,2360,2410,2477,2530,2590,2664,2741,2826,2893,2969,3042,3111,3194,3259,3327,3382,3452,3509,3577,3650,3725,3790,3863,3934,3996,4061,4153,4221,4302,4389,4471,4546,4638,4726,4831,4935,5029,5110,5222,5320,5421,5544,5666,5773,5877,6000,6100,6221,6338,6464,6585,6708,6849,6979,7102,7246,7401,7538,7671,7809,7968,8098,8234,8386,8537,8655,8804,8942,9071,9205,9322,9462,9603,9735,9857,10010,10138,10266,10380,10518,10648,10771,10903,11026,11168,11308,11469,11620,11772,11920,12064,12209,12346,12500,12640,12805,12966,13110,13276,13444,13619,13788,13962,14117,14322,14501,14707,14914,15109,15316,15518,15713,15903,16104,16325,16565,16816,17076,17306,17563,17808,18063,18323,18572,18824,19066,19332,19604,19893,20145,20417,20666,20953,21223,21479,21752,22024,22317,22617,22924,23201,23484,23759,24063,24373,24679,24974,25266,25581,25866,26180,26462,26774,27098,27423,27752,28043,28333,28651,28949,29255,29557,29868,30211,30562,30897,31296,31641,32018,32381,32748,33102,33482,33835,34218,34616,35015,35485,35936,36394,36879,37336,37845,38340,38820,39337,39875,40402,40935,41477,41997,42579,43173,43780,44434,45056,45740,46348,46975,47618,48316,49048,49731,50412,51101,51816,52513,53242,53979,54640,55425,56147,56927,57739,58515,59252,60114,60893,61689,62436,63286,64076,64927,65767,66634,67554,68465,69359,70263,71178,72126,73109,74098,75032,75995,76980,78009,79061,80082,81197,82275,83377,84517,85655,86780,87896,89070,90307,91491,92705,93966,95224,96507,97716,99019,100401,101779,103062,104468,105798,107312,108757,110167,111644,113145,114668,116219,117879,119438,121080,122688,124358,126114,127821,129647,131419,133183,135060,136931,138769,140699,142684,144599,146603,148662,150784,152923,155102,157261,159421,161671,164076,166333,168688,171073,173554,176053,178481,181143,183664,186284,188994,191734,194499,197197,199933,202724,205580,208453,211409,214424,217467,220518,223698,226826,229979,233122,236258,239464,242944,246277,249692,253241,256770,260374,264047,267574,271308,275013,278801,282683,286658,290692,294786,298878,303065,307319,311422,315715,320006,324425,328868,333484,337988,342609,347255,351949,356675,361476,366433,371370,376325,381472,386585,391796,397036,402351,407794,413253,418748,424188,429709,435602,441421,447193,453217,459354,465504,471831,478219,484714,491288,497849,504561,511393,518298,525363,532401,539604,546692,553904,561334,568752,576236,583824
1,1,1,1,1,5,6,8,10,17,21,28,33,38,39,42,53,59,73,86,94,103,112,125,139,154,172,187,211,221,233,256,268,285,296,312,331,357,384,399,427,450,474,497,509,535,556,578,596,619,639,669,687,713,728,751,769,787,800,813,828,848,867,881,897,920,937,951,971,986,1000,1010,1029,1052,1071,1097,1113,1136,1164,1185,1212,1233,1251,1287,1313,1346,1362,1394,1419,1440,1469,1503,1541,1568,1604,1634,1664,1689,1716,1747,1780,1827,1870,1901,1947,1991,2037,2082,2139,2189,2243,2300,2366,2414,2479,2538,2608,2678,2740,2811,2876,2955,3043,3121,3209,3295,3416,3518,3616,3708,3823,3935,4044,4142,4251,4347,4478,4597,4717,4852,4972,5084,5203,5335,5463,5587,5712,5837,5968,6102,6226,6374,6536,6675,6807,6953,7078,7213,7334,7493,7639,7794,7950,8108,8265,8407,8588,8753,8936,9106,9271,9438,9618,9798,9972,10177,10386,10561,10745,10931,11119,11299,11483,11661,11824,12001,12178,12368,12558,12740,12932,13141,13344,13540,13762,13936,14141,14377,14586,14837,15033,15274,15512,15759,16003,16241,16476,16730,17007,17247,17519,17804,18062,18363,18603,18884,19162,19430,19737,20014,20310,20624,20922,21253,21560,21860,22158,22461,22773,23088,23448,23734,24101,24414,24796,25143,25467,25807,26141,26511,26881,27239,27601,27972,28370,28759,29166,29564,29952,30311,30704,31117,31538,31954,32368,32787,33229,33662,34112,34539,35000,35460,35924,36373,36849,37378,37879,38367,38880,39400,39877,40372,40889,41381,41939,42449,42978,43544,44113,44631,45188,45734,46327,46928,47523,48153,48798,49466,50129,50829,51500,52170,52891,53541,54259,54992,55696,56411,57174,57895,58691,59446,60235,61039,61849,62602,63395,64169,64993,65810,66583,67418,68258,69090,69868,70731,71581,72464,73342,74229,75114,76015,76900,77841,78800,79735,80659,81575,82574,83519,84517,85520,86457,87435,88495,89520,90632,91783,92899,94028,95123,96241,97452,98663,99949,101180,102419,103682,105074,106416,107784,109040,110371,111754,113127,114586,115948,117454,119019,120536,122021,123571,125136,126714,128310,129904,131474,133178,134813,136522,138338,140117,141937,143779,145670,147522,149383,151285,153285,155260,157330,159300,161393,163576,165679,167860,170082,172256,174450,176804,179235,181561,183962,186496,189083,191651,194283,196936,199674,202439,205221,208167,211130,214087,217042,220050,223192,226304,229357,232591,235871,239168,242434,245771,249327,252880,256449,260108,263836,267685,271348,275237,279172,283124,287250,291384,295426,299614,303806,307925,312159,316477,320822,325317,330025,334716,339245,343807,348521,353241,358284,363283,368166,373237,378381,383485,388541,393825,399209,404719,410497,416274,421969,427627,433351,439293,445304,451412,457768,464066,470466,476866,483524,490089,496700,503683,510646,517646,524718,531939,539066,546420,553866,561546,569447,577275,585264,593014,601034,609353,617762,626084,634529,642998,651738,660571,669508,678482,687436,696680,706122,715608,725357,735041,744802,754803,764915
1,1,1,2,3,5,10,11,12,12,13,14,21,22,24,26,28,32,41,45,53,59,68,81,92,103,109,118,128,139,148,159,170,186,196,206,219,230,240,247,257,269,283,300,311,322,333,356,368,383,396,406,435,456,480,502,532,560,592,607,637,677,707,744,784,826,875,904,959,996,1048,1093,1152,1213,1268,1321,1370,1412,1476,1528,1574,1622,1680,1735,1791,1845,1891,1949,2027,2098,2162,2217,2285,2332,2393,2446,2523,2585,2654,2719,2785,2863,2925,2990,3057,3129,3200,3250,3303,3356,3425,3493,3556,3633,3718,3787,3860,3927,4003,4083,4158,4237,4296,4364,4440,4512,4596,4686,4801,4871,4962,5043,5135,5235,5327,5427,5520,5649,5734,5850,5987,6114,6237,6365,6491,6629,6773,6895,6994,7129,7273,7389,7508,7648,7789,7899,8029,8142,8259,8403,8519,8632,8768,8902,9050,9169,9281,9390,9517,9648,9809,9972,10134,10289,10447,10622,10779,10950,11124,11300,11481,11672,11877,12082,12280,12471,12693,12863,13103,13308,13543,13769,13987,14231,14491,14762,15062,15343,15600,15883,16157,16443,16760,17028,17322,17643,17962,18252,18578,18867,19209,19539,19842,20167,20489,20828,21119,21459,21818,22157,22513,22863,23233,23535,23864,24196,24578,24898,25243,25611,25963,26322,26724,27125,27524,27936,28372,28840,29281,29724,30138,30592,31071,31559,32008,32521,33035,33560,34071,34559,35085,35612,36166,36720,37287,37850,38479,39059,39683,40304,40902,41558,42196,42814,43475,44135,44812,45452,46104,46789,47471,48140,48820,49483,50187,50940,51671,52377,53106,53872,54680,55467,56273,57124,57982,58886,59741,60632,61599,62471,63467,64423,65438,66459,67509,68538,69582,70672,71787,72943,74155,75313,76534,77812,79036,80273,81547,82928,84234,85648,87076,88472,89874,91203,92668,94049,95457,96943,98446,99951,101475,102980,104525,106221,107853,109388,111043,112702,114381,116115,117906,119859,121687,123549,125468,127423,129451,131384,133482,135604,137677,139807,142023,144268,146409,148710,151023,153303,155783,158222,160709,163222,165807,168270,170895,173551,176246,178978,181669,184419,187216,190089,193075,196110,199128,202292,205404,208535,211680,214902,218261,221605,224924,228201,231516,234983,238523,242101,245603,249239,252940,256739,260466,264352,268302,272338,276288,280391,284514,288830,293117,297562,302033,306522,311054,315614,320234,325060,329866,334869,339779,344840,349923,355076,360300,365558,370931,376430,381971,387608,393266,399224,405174,411172,417279,423453,429571,435910,442211,448611,455115,461568,468157,474883,481670,488465,495380,502422,509475,516584,523613,530856,538266,545519,552975,560552,568219,575973,583814,591646,599628,607751,615930,624183,632587,641303,649959,658615,667461,676382,685346,694473,703648,712927,722227,731831,741423,751166,761161,771241,781539,792216,802887,813480,824338,835386,846591,857783,869276,880907,892762,904556,916278,928337,940543,952636,965131,977743,990478,1003420,1016205,1029388,1042851,1056453,1069847,1083684,1097646,1111658,1125915,1140255,1154776,1169257,1183892,1198956,1214110,1229365,1244718
1,1,1,1,1,1,3,3,6,7,7,10,12,14,15,20,23,28,35,41,46,53,58,65,73,78,89,101,110,117,123,129,143,161,181,197,213,229,243,261,279,293,308,329,357,379,406,420,443,471,496,530,557,591,628,660,690,727,771,820,863,911,959,1004,1056,1097,1138,1178,1236,1287,1344,1389,1435,1493,1555,1607,1649,1693,1747,1797,1841,1891,1948,2005,2068,2127,2193,2268,2341,2402,2456,2514,2586,2645,2710,2785,2849,2902,2970,3049,3130,3194,3264,3336,3415,3485,3567,3645,3722,3792,3854,3928,3999,4084,4155,4243,4321,4408,4506,4601,4687,4778,4858,4948,5050,5167,5264,5366,5459,5552,5650,5742,5858,5971,6091,6200,6335,6459,6606,6743,6877,7005,7124,7255,7387,7526,7647,7789,7912,8050,8163,8286,8413,8544,8673,8828,8977,9129,9291,9446,9596,9765,9933,10100,10282,10473,10650,10812,11005,11206,11394,11578,11767,11961,12167,12363,12562,12764,12969,13180,13395,13590,13795,13993,14205,14426,14641,14849,15078,15288,15501,15743,15963,16192,16442,16682,16920,17144,17404,17613,17866,18096,18394,18644,18933,19235,19513,19789,20085,20399,20673,20948,21270,21569,21867,22172,22464,22783,23059,23342,23629,23932,24253,24596,24914,25238,25585,25929,26300,26670,27049,27406,27750,28114,28483,28859,29283,29648,30037,30503,30884,31274,31668,32083,32516,32972,33413,33867,34294,34738,35204,35679,36165,36666,37135,37559,38049,38526,39021,39521,40027,40520,41061,41612,42185,42795,43369,43923,44501,45053,45651,46232,46854,47476,48096,48746,49400,50067,50739,51403,52037,52705,53347,54013,54697,55472,56197,56885,57631,58378,59144,59870,60603,61340,62145,62893,63653,64466,65275,66115,66953,67815,68663,69554,70414,71329,72167,73133,74047,74985,75942,76907,77910,78889,79880,80903,81941,82992,84077,85138,86220,87310,88492,89632,90805,91982,93171,94310,95560,96749,97972,99211,100467,101814,103117,104418,105777,107168,108500,109871,111362,112814,114256,115793,117236,118781,120342,121888,123480,125130,126880,128547,130299,132048,133846,135694,137549,139384,141317,143294,145246,147221,149219,151199,153254,155337,157434,159469,161597,163770,165846,167975,170164,172387,174659,176975,179302,181657,184116,186492,188830,191310,193754,196297,198771,201407,204021,206597,209265,211987,214809,217654,220518,223389,226319,229259,232161,235177,238225,241348,244486,247803,251035,254424,257821,261378,264802,268356,271920,275549,279288,282991,286842,290776,294601,298504,302536,306637,310701,314827,318987,323253,327560,331824,336069,340490,344946,349468,354099,358839,363533,368360,373127,377930,382953,388001,392921,398122,403335,408541,413932,419306,424656,430181,435744,441392,447211,453000,458804,464698,470705,476593,482818,489200,495479,501787,508201,514689,521208,527939,534813,541762,548670,555521,562592,569761,577025,584363,591656,599087,606654,614282,622087,630083,638166,646150,654384,662703,671113,679753,688450,697045,705964,714812,723767,732878,742061,751473,760952,770605,780530,790295,800283,810479,820592,830815,841274
1,1,1,3,5,8,12,12,15,15,15,17,20,23,29,32,38,42,46,52,61,64,70,76,82,93,108,120,130,142,149,162,176,190,196,209,220,231,238,245,257,263,272,279,296,310,318,324,332,337,352,370,387,397,410,423,436,449,473,487,504,531,549,560,580,597,614,626,649,671,691,718,731,745,764,789,807,827,855,873,892,917,937,962,991,1014,1044,1067,1095,1120,1155,1187,1211,1238,1278,1324,1365,1410,1444,1475,1516,1563,1614,1665,1716,1771,1825,1882,1946,1998,2047,2119,2167,2224,2284,2346,2397,2448,2502,2553,2620,2695,2774,2859,2923,2991,3065,3149,3241,3322,3411,3511,3611,3711,3799,3904,3996,4092,4196,4306,4413,4506,4611,4717,4821,4925,5028,5126,5221,5324,5406,5529,5632,5719,5815,5898,5979,6073,6156,6234,6337,6441,6537,6630,6737,6827,6905,6993,7073,7152,7242,7329,7432,7516,7624,7714,7804,7899,8029,8147,8270,8373,8466,8576,8702,8839,8971,9120,9286,9428,9610,9772,9921,10087,10262,10441,10638,10819,10994,11207,11395,11577,11782,12001,12195,12407,12608,12812,13033,13248,13461,13663,13894,14107,14344,14579,14809,15052,15254,15502,15741,15972,16209,16415,16643,16885,17141,17409,17673,17937,18212,18465,18763,19086,19354,19632,19955,20252,20552,20865,21175,21486,21825,22185,22525,22849,23195,23513,23859,24188,24539,24884,25219,25528,25881,26272,26647,27046,27406,27810,28191,28574,28968,29338,29719,30117,30506,30929,31337,31735,32132,32590,33048,33494,33947,34438,34892,35394,35868,36311,36809,37351,37863,38403,38889,39400,39963,40539,41114,41712,42315,42893,43540,44169,44812,45466,46120,46789,47460,48168,48842,49506,50246,50960,51673,52457,53208,53981,54786,55622,56474,57384,58283,59220,60097,61024,61991,62916,63880,64874,65876,66848,67917,69038,70104,71159,72211,73287,74366,75439,76606,77771,78903,80015,81114,82293,83430,84607,85753,86927,88142,89404,90627,91911,93148,94382,95728,97132,98486,99851,101276,102758,104222,105714,107225,108854,110467,112000,113613,115303,116964,118656,120401,122219,124034,125838,127706,129655,131573,133601,135590,137605,139621,141723,143929,146073,148232,150464,152609,154839,157052,159467,161859,164163,166595,169062,171530,174002,176530,179089,181646,184357,187021,189683,192392,195154,197946,200865,203771,206807,209791,212839,215890,219131,222248,225558,228820,232180,235760,239405,243171,246859,250578,254354,258246,262085,266082,270107,274056,278126,282296,286511,290798,295182,299491,303891,308509,313117,317778,322499,327161,331900,336841,341787,346691,351842,356992,362210,367506,372870,378312,383690,389177,394780,400551,406334,412234,418187,424142,430215,436403,442780,449189,455641,462224,468878,475700,482711,489703,496858,504019,511295,518679,526009,533581,541221,549090,557060,564984,573183,581390,589606,597925,606494,615176,623855,632674,641394,650411,659567,668896,678324,687876,697554,707204,717192,726962,736946,747250,757480,768122,778369,789018,799635,810379,821298,832203
1,1,2,2,4,6,6,7,8,10,10,10,10,14,17,20,22,30,34,38,46,53,63,66,71,78,84,92,101,112,124,132,139,151,161,169,179,186,194,199,211,215,219,222,225,234,241,252,258,265,278,293,301,312,332,350,376,392,410,421,441,460,479,502,524,545,565,586,616,638,663,682,717,751,790,819,842,891,924,953,993,1020,1061,1096,1138,1179,1215,1255,1306,1364,1403,1446,1474,1524,1567,1614,1653,1692,1727,1768,1825,1858,1904,1944,1975,2004,2035,2069,2103,2130,2162,2194,2224,2262,2313,2367,2430,2498,2552,2588,2654,2715,2773,2834,2912,2970,3049,3117,3185,3254,3316,3372,3433,3506,3575,3663,3742,3829,3887,3974,4066,4145,4238,4319,4412,4497,4590,4695,4772,4868,4965,5081,5186,5307,5404,5529,5636,5764,5907,6052,6188,6335,6475,6620,6765,6912,7060,7216,7396,7560,7717,7896,8081,8259,8425,8587,8782,8958,9129,9338,9544,9745,9939,10132,10322,10540,10758,10960,11171,11383,11616,11865,12113,12334,12564,12824,13072,13335,13604,13879,14127,14402,14691,14961,15226,15532,15817,16126,16456,16784,17070,17374,17704,18028,18360,18670,19023,19385,19730,20077,20445,20800,21153,21504,21868,22275,22657,23006,23421,23809,24224,24635,25036,25492,25931,26367,26813,27264,27724,28186,28643,29084,29568,30065,30601,31162,31695,32238,32738,33278,33829,34370,34943,35546,36123,36740,37420,38040,38673,39338,39984,40635,41303,42013,42657,43343,44032,44762,45474,46185,46892,47645,48360,49106,49899,50733,51514,52276,53064,53856,54671,55449,56280,57147,57992,58880,59745,60595,61518,62427,63274,64172,65097,66038,66954,67887,68875,69862,70918,71891,72944,73988,75073,76166,77222,78303,79455,80508,81637,82828,84030,85218,86479,87714,88948,90155,91431,92701,94025,95335,96648,97996,99347,100678,102136,103529,104838,106277,107690,109159,110589,112113,113616,115121,116695,118211,119772,121347,123036,124647,126316,128029,129697,131408,133094,134778,136528,138238,140004,141780,143521,145373,147257,149092,151031,152818,154683,156648,158592,160647,162585,164565,166582,168673,170820,172924,175049,177195,179433,181707,184027,186407,188838,191258,193693,196230,198770,201345,203996,206631,209383,212119,214820,217634,220504,223451,226473,229343,232411,235350,238400,241460,244615,247765,251043,254286,257442,260748,264138,267450,270897,274425,277961,281529,285044,288587,292249,295975,299711,303601,307406,311257,315274,319367,323394,327484,331547,335686,340027,344253,348554,352997,357493,362011,366630,371264,376057,380928,385790,390715,395664,400802,405843,410976,416239,421614,427048,432417,437855,443412,449143,454934,460690,466483,472386,478333,484420,490512,496609,502800,509151,515420,521796,528103,534761,541216,547890,554599,561427,568273,575158,582413,589533,596875,604229,611629,619182,626824,634521,642247,650304,658384,666523,674924,683278,691829,700341,709118,717668,726410,735252,744340,753495,762811,772090,781598,791234,800917,810811,820588,830446,840616,850973,861255,871836,882549,893329
1,1,1,1,1,1,4,4,4,5,6,9,9,9,9,10,12,13,18,21,23,25,33,37,39,39,40,41,43,51,61,68,72,86,98,108,118,131,140,148,163,176,188,201,206,224,234,250,271,283,302,315,327,357,374,393,407,426,445,457,471,490,504,516,532,546,558,574,589,607,624,641,660,676,690,699,725,737,747,764,775,785,796,805,824,843,860,868,877,885,888,894,901,915,926,932,943,955,962,971,982,991,996,1000,1015,1024,1037,1048,1060,1071,1084,1095,1109,1123,1146,1169,1182,1206,1234,1248,1268,1291,1314,1336,1355,1376,1394,1416,1437,1462,1496,1530,1568,1593,1631,1664,1702,1739,1771,1806,1832,1859,1897,1933,1966,2001,2039,2076,2108,2139,2179,2215,2253,2301,2342,2383,2427,2479,2529,2576,2628,2676,2730,2780,2823,2876,2933,2991,3056,3116,3179,3254,3335,3415,3499,3599,3679,3751,3846,3929,4007,4097,4183,4260,4336,4422,4513,4612,4700,4785,4855,4944,5015,5109,5196,5279,5384,5482,5586,5678,5777,5881,5964,6091,6205,6316,6413,6524,6648,6758,6868,6981,7119,7236,7348,7484,7612,7744,7868,8000,8181,8314,8444,8589,8736,8924,9086,9232,9403,9558,9728,9912,10097,10265,10452,10635,10838,11035,11252,11444,11653,11878,12101,12305,12538,12728,12942,13164,13416,13675,13919,14187,14439,14702,14964,15229,15518,15799,16061,16353,16598,16877,17171,17484,17796,18108,18418,18733,19085,19374,19727,20088,20406,20732,21081,21452,21817,22224,22651,23036,23404,23818,24216,24624,25069,25483,25881,26335,26745,27191,27636,28081,28554,29017,29448,29902,30338,30806,31277,31759,32216,32668,33147,33649,34141,34612,35130,35623,36173,36712,37259,37800,38403,38952,39583,40103,40700,41342,41944,42534,43164,43825,44463,45145,45821,46473,47090,47837,48524,49230,49921,50577,51278,51969,52657,53367,54120,54894,55616,56430,57196,57915,58681,59484,60280,61074,61866,62700,63530,64403,65298,66118,66953,67783,68680,69655,70651,71576,72504,73523,74507,75500,76540,77580,78647,79716,80773,81887,83007,84117,85252,86451,87630,88836,90024,91211,92438,93743,95028,96289,97631,98996,100345,101734,103134,104625,106121,107555,109026,110534,111992,113506,115035,116618,118231,119829,121528,123195,124888,126630,128252,130040,131795,133654,135529,137428,139293,141375,143361,145278,147287,149334,151474,153567,155774,157978,160250,162553,164846,167219,169658,172078,174486,176940,179389,182017,184578,187264,190017,192815,195636,198323,201155,204080,207003,209934,213000,216099,219134,222234,225503,228684,231869,235188,238530,241964,245357,248914,252468,255947,259694,263497,267271,271038,274801,278764,282826,286879,290991,295088,299208,303469,307808,312058,316357,320766,325161,329730,334335,339066,343836,348629,353420,358399,363422,368492,373700,378953,384252,389737,395361,401019,406732,412331,418137,424005,429894,435927,441989,448031,454146,460315,466790,473143,479476,486055,492780
1,1,1,2,3,3,3,8,10,10,10,12,13,13,13,13,13,17,20,20,26,30,35,42,44,46,52,59,68,77,86,96,106,108,114,124,139,148,160,170,178,190,198,210,219,223,231,233,244,252,257,261,271,279,284,287,289,296,303,310,316,321,330,339,349,356,366,375,386,400,413,424,436,464,484,503,514,539,568,590,631,664,699,728,762,800,840,872,901,938,980,1011,1062,1106,1148,1190,1218,1246,1288,1331,1362,1421,1450,1489,1521,1556,1595,1622,1657,1685,1709,1743,1772,1805,1828,1866,1903,1938,1968,2006,2049,2097,2139,2178,2217,2266,2298,2342,2383,2420,2480,2519,2572,2614,2662,2714,2767,2829,2874,2931,2982,3037,3097,3156,3219,3268,3330,3394,3470,3534,3596,3669,3740,3823,3890,3965,4048,4125,4194,4276,4353,4449,4531,4619,4699,4790,4873,4974,5057,5153,5255,5341,5448,5557,5663,5769,5874,5986,6091,6193,6295,6410,6531,6654,6769,6863,6951,7048,7154,7260,7356,7449,7532,7625,7705,7811,7882,7976,8051,8135,8208,8297,8374,8460,8547,8628,8720,8795,8877,8958,9042,9135,9225,9320,9402,9487,9577,9674,9764,9858,9950,10036,10120,10199,10295,10381,10472,10588,10689,10796,10915,11016,11136,11251,11368,11488,11606,11731,11850,11971,12088,12207,12307,12428,12566,12683,12804,12932,13068,13201,13327,13452,13573,13697,13831,13968,14119,14259,14428,14565,14727,14928,15072,15255,15400,15573,15769,15956,16148,16338,16535,16734,16909,17100,17330,17554,17751,17980,18224,18466,18692,18919,19146,19407,19670,19901,20132,20386,20641,20884,21143,21403,21641,21895,22157,22429,22695,22951,23191,23461,23699,23967,24263,24510,24771,25034,25294,25579,25822,26096,26368,26623,26918,27209,27506,27804,28105,28432,28795,29149,29526,29882,30261,30693,31100,31533,31969,32418,32858,33322,33772,34252,34741,35294,35820,36334,36909,37408,38003,38566,39178,39737,40325,40958,41553,42183,42754,43355,43961,44605,45234,45846,46461,47172,47845,48533,49189,49905,50661,51377,52116,52913,53694,54546,55384,56181,57056,57866,58721,59598,60452,61368,62305,63250,64290,65337,66324,67330,68439,69560,70662,71739,72831,73935,75058,76225,77424,78624,79793,81017,82277,83457,84753,86047,87261,88600,89966,91295,92671,94054,95444,96859,98219,99680,101235,102712,104252,105843,107396,108970,110534,112115,113802,115392,117058,118749,120447,122101,123788,125574,127351,129116,130937,132734,134489,136338,138173,140063,142010,143871,145910,147802,149728,151781,153854,155867,157916,160118,162208,164367,166634,168876,171190,173490,175787,178123,180607,183003,185469,187936,190509,193143,195738,198321,201108,203825,206596,209356,212282,215246,218190,221211,224287,227387,230567,233663,236870,240042,243423,246718,250152,253589,257108,260758,264330,268049,271677,275391,279197,283117,287180,291390,295420,299510,303708,307956,312261,316760,321332,325976,330749,335453,340195,345124,350030,354982,359958
1,1,1,1,1,2,4,4,5,6,10,13,13,16,18,21,23,24,25,27,28,29,33,37,40,40,44,49,53,56,59,67,73,80,85,92,98,106,118,125,133,142,154,167,178,190,205,218,240,256,263,273,283,296,322,338,359,370,390,407,421,434,456,472,491,512,523,537,555,573,588,599,620,641,659,674,694,715,734,748,765,798,823,845,880,909,939,971,1000,1035,1065,1106,1153,1180,1213,1255,1297,1336,1379,1421,1469,1502,1543,1593,1644,1675,1723,1771,1817,1861,1896,1938,1977,2022,2070,2112,2153,2201,2244,2290,2336,2396,2444,2490,2527,2590,2628,2673,2729,2792,2852,2914,2947,2994,3043,3083,3141,3199,3253,3309,3368,3417,3467,3516,3563,3609,3657,3705,3762,3795,3853,3915,3974,4029,4076,4129,4194,4257,4316,4383,4439,4501,4576,4654,4734,4812,4880,4953,5029,5115,5193,5271,5347,5411,5491,5570,5669,5768,5865,5956,6053,6150,6249,6337,6439,6532,6620,6712,6818,6915,7035,7150,7282,7396,7521,7662,7822,7967,8123,8271,8419,8556,8724,8908,9072,9260,9423,9596,9747,9928,10071,10235,10397,10579,10743,10911,11064,11255,11438,11610,11786,11944,12100,12248,12417,12580,12761,12962,13190,13373,13608,13789,14025,14254,14473,14717,14949,15216,15471,15725,15983,16252,16507,16816,17112,17393,17693,17983,18276,18591,18889,19208,19551,19860,20182,20509,20838,21212,21553,21884,22251,22620,23030,23435,23811,24218,24614,25017,25425,25847,26244,26694,27135,27597,28031,28469,28917,29392,29907,30400,30903,31389,31910,32397,32907,33455,34004,34546,35103,35669,36272,36862,37437,38042,38654,39330,39971,40627,41233,41878,42500,43211,43886,44589,45247,45944,46663,47352,48100,48876,49621,50323,51113,51937,52719,53505,54347,55206,56017,56882,57738,58554,59513,60362,61309,62221,63147,64112,65093,66083,67124,68123,69124,70166,71237,72348,73398,74518,75679,76836,77973,79134,80358,81565,82804,84064,85356,86558,87938,89277,90650,92008,93335,94685,96098,97475,98932,100356,101770,103271,104817,106286,107820,109331,110845,112408,114002,115713,117334,118983,120599,122325,124018,125726,127508,129313,131125,133004,134958,136845,138756,140764,142801,144831,146846,148926,151040,153166,155334,157493,159697,161977,164307,166718,169140,171579,173989,176504,179041,181637,184228,186867,189507,192184,194759,197466,200253,202987,205764,208633,211567,214353,217164,220054,223019,226008,229062,232193,235302,238414,241618,245005,248286,251651,255082,258517,262044,265637,269295,273008,276750,280558,284418,288169,292098,296117,300220,304331,308652,312914,317269,321583,326106,330564,335120,339843,344518,349271,354049,358853,363824,368847,373936,379108,384200,389370,394649,399938,405255,410821,416439,422102,427784,433619,439599,445714,451756,458018,464142,470295,476593,483175,489732,496254,502949,509737,516688,523613,530828,538016,545190,552575,560151,567631,575132,582579,590145,597957,605828,613959,622080,630300,638537,646880,655090,663324,672009
1,1,1,1,1,5,7,8,10,11,12,14,20,25,29,33,36,43,48,51,54,57,64,76,91,96,103,107,114,124,131,138,149,162,171,182,190,200,206,218,234,243,250,255,269,282,292,297,301,312,319,326,335,348,361,375,390,400,408,420,432,442,457,470,483,494,513,543,555,575,599,621,647,672,704,721,745,778,803,828,862,894,937,976,1023,1053,1106,1151,1196,1234,1263,1308,1368,1426,1473,1505,1565,1624,1689,1739,1782,1834,1897,1962,2025,2090,2143,2217,2296,2363,2428,2501,2574,2654,2722,2793,2863,2953,3037,3131,3223,3340,3435,3529,3624,3717,3811,3917,4031,4147,4237,4361,4478,4603,4741,4876,4986,5113,5251,5386,5511,5646,5796,5905,6064,6180,6343,6464,6633,6804,6951,7111,7262,7419,7567,7746,7901,8063,8216,8404,8577,8747,8919,9092,9246,9429,9593,9755,9918,10125,10305,10480,10700,10877,11084,11275,11475,11668,11882,12082,12279,12502,12696,12891,13066,13281,13512,13753,13985,14202,14427,14658,14895,15123,15374,15586,15810,16042,16295,16508,16733,16992,17225,17472,17741,17987,18228,18504,18780,19041,19349,19672,19968,20239,20549,20840,21133,21460,21762,22070,22378,22726,23034,23394,23744,24155,24498,24869,25256,25631,26024,26415,26851,27268,27680,28118,28541,29008,29473,29924,30362,30790,31246,31714,32212,32703,33179,33645,34131,34681,35233,35760,36283,36870,37425,38014,38607,39203,39780,40401,41050,41669,42321,42986,43601,44221,44846,45502,46202,46861,47574,48286,48955,49704,50417,51152,51896,52627,53460,54229,55005,55761,56541,57341,58166,59004,59882,60765,61659,62551,63488,64431,65349,66309,67302,68327,69321,70350,71437,72504,73591,74779,75897,77112,78303,79446,80660,81841,83085,84333,85625,86914,88258,89579,90876,92233,93618,94949,96294,97697,99083,100567,102078,103537,105003,106555,108164,109737,111318,112966,114597,116258,117854,119620,121397,123232,125071,126876,128709,130632,132520,134381,136354,138375,140376,142392,144455,146499,148610,150684,152900,155128,157401,159634,162013,164324,166643,169051,171542,174062,176526,179066,181613,184170,186830,189498,192210,195042,197801,200651,203535,206474,209563,212705,215934,219044,222149,225381,228658,232042,235440,238794,242342,245916,249472,253032,256802,260497,264295,268209,272098,276004,280050,284210,288368,292552,296937,301238,305753,310339,314771,319248,323921,328575,333308,338242,343059,348053,353161,358221,363311,368621,373860,379218,384651,390056,395743,401343,407166,413213,419137,425329,431547,437975,444276,450743,457367,463905,470640,477478,484418,491345,498453,505590,512929,520155,527538,535023,542731,550224,557962,565839,573767,581828,590011,598233,606576,614864,623304,631971,640407,649086,658015,666858,676068,685026,694268,703572,712957,722382,732047,741670,751425,761222,771298,781508,791729,801985,812355,822901,833411,844168,855034,866091,877215,888328,899617,910995,922672,934350,946278,958419,970504,982950,995444,1008042,1020456,1033351,1046287,1059300,1072453,1085874,1099449,1113249,1127114,1141047,1155042
1,1,1,1,4,6,11,12,14,15,19,27,34,40,45,48,52,57,65,73,81,93,101,117,127,139,147,155,169,184,191,198,208,214,226,238,247,259,270,273,282,289,296,303,309,319,330,346,352,359,370,380,393,406,422,439,456,470,490,513,529,537,558,572,603,634,666,690,706,725,754,774,811,835,868,903,939,977,1011,1049,1085,1129,1164,1210,1244,1284,1335,1369,1402,1438,1474,1501,1530,1575,1600,1641,1676,1715,1747,1789,1814,1837,1876,1914,1965,1989,2015,2047,2078,2119,2159,2205,2247,2286,2338,2393,2433,2475,2523,2587,2643,2691,2749,2797,2846,2896,2961,3028,3098,3162,3225,3292,3372,3423,3498,3558,3632,3708,3784,3847,3926,4003,4076,4157,4234,4309,4383,4467,4559,4615,4700,4759,4845,4927,5018,5117,5217,5314,5420,5533,5631,5717,5802,5910,6009,6112,6216,6309,6429,6566,6698,6821,6955,7099,7234,7376,7496,7646,7791,7901,8024,8147,8278,8398,8540,8659,8809,8932,9064,9195,9336,9476,9616,9748,9887,10036,10190,10359,10541,10715,10891,11074,11228,11413,11627,11838,12060,12265,12484,12693,12922,13184,13479,13753,14018,14302,14560,14831,15090,15370,15659,15968,16259,16534,16820,17090,17378,17658,17959,18257,18556,18807,19101,19400,19659,19960,20236,20552,20882,21194,21489,21812,22126,22479,22797,23115,23483,23836,24196,24566,24957,25300,25719,26117,26541,26982,27410,27854,28303,28722,29179,29620,30072,30536,31018,31527,32043,32588,33106,33621,34140,34735,35336,35889,36458,37093,37706,38351,38991,39623,40295,40966,41658,42298,43023,43762,44580,45376,46170,46984,47751,48525,49316,50162,51003,51788,52623,53513,54367,55241,56119,57035,57909,58827,59779,60716,61643,62561,63535,64539,65624,66602,67661,68800,69855,70954,72094,73252,74423,75650,76864,78103,79325,80675,81957,83248,84536,85853,87269,88633,89944,91249,92578,93943,95396,96840,98267,99771,101256,102824,104390,105992,107655,109182,110846,112476,114211,115888,117589,119326,121069,122820,124663,126547,128410,130322,132243,134266,136333,138434,140531,142623,144805,146988,149191,151447,153738,156065,158416,160906,163343,165794,168368,170907,173546,176201,178877,181726,184611,187541,190416,193447,196550,199713,202902,206044,209256,212468,215667,218886,222075,225545,229019,232432,235808,239334,242968,246615,250277,253909,257669,261461,265286,269209,273173,277119,281036,285017,289023,293086,297228,301386,305722,310118,314481,318979,323473,328038,332604,337212,341917,346847,351693,356541,361534,366558,371747,376976,382292,387520,392822,398148,403576,409276,414813,420558,426412,432166,438144,444106,450110,456203,462421,468777,475150,481645,488159,494728,501526,508265,515171,522215,529258,536275,543516,550844,558177,565599,573252,580796,588518,596463,604309,612243,620419,628648,636826,645256,653820,662447,671216,680055,688826,697830,706793,716060,725375,734735,743999,753730,763458,773220,783252,793163,803174,813356,823671,834174,844635,855382,865961,876756,887677,898948,910185,921452,933058
1,1,1,1,2,7,9,10,11,14,14,17,18,19,22,26,28,33,38,43,46,50,56,66,75,90,110,125,147,157,172,182,199,202,217,236,257,278,305,334,357,389,418,448,469,494,523,550,582,609,636,664,701,728,750,776,797,825,852,879,905,946,985,1016,1070,1110,1144,1185,1222,1269,1315,1355,1403,1447,1495,1539,1585,1629,1683,1735,1793,1850,1899,1957,2029,2084,2165,2231,2303,2370,2427,2491,2557,2629,2716,2814,2884,2968,3043,3124,3206,3308,3403,3504,3619,3745,3837,3943,4076,4207,4336,4465,4590,4713,4842,4974,5113,5242,5393,5520,5666,5807,5970,6116,6273,6436,6583,6753,6881,7056,7243,7409,7589,7771,7929,8092,8227,8371,8544,8722,8895,9064,9239,9376,9549,9721,9893,10067,10252,10447,10627,10805,11018,11208,11381,11580,11757,11931,12108,12291,12449,12654,12855,13050,13247,13462,13679,13880,14098,14304,14515,14736,14993,15231,15473,15739,15972,16250,16495,16744,16993,17256,17535,17813,18112,18429,18669,18970,19290,19629,19974,20320,20642,20960,21311,21675,22027,22381,22753,23077,23488,23875,24292,24714,25100,25494,25918,26348,26767,27197,27650,28134,28560,29050,29517,29981,30484,30963,31486,32013,32598,33123,33719,34270,34839,35397,35992,36574,37156,37760,38333,38996,39651,40282,40914,41540,42183,42853,43496,44148,44779,45483,46239,46951,47655,48405,49051,49777,50506,51257,51999,52770,53532,54325,55111,55927,56766,57616,58468,59306,60232,61108,61991,62932,63863,64826,65803,66866,67842,68895,69984,71116,72268,73414,74566,75736,76914,78116,79318,80516,81842,83140,84433,85708,86993,88333,89669,91004,92420,93853,95249,96677,98169,99660,101179,102727,104233,105864,107459,109083,110768,112481,114182,115843,117626,119435,121255,123046,124975,126833,128802,130758,132648,134705,136652,138715,140705,142798,144851,146941,149039,151150,153306,155406,157577,159744,162031,164355,166808,169158,171638,174029,176580,179049,181657,184333,186920,189685,192501,195403,198337,201322,204306,207291,210265,213457,216663,219800,223096,226411,229702,233048,236403,239864,243365,246830,250338,253743,257283,260790,264251,267905,271597,275324,279121,282950,286804,290944,295053,299170,303381,307552,311862,316240,320732,325270,329774,334433,339259,344008,348847,353836,358987,364116,369028,374316,379765,385244,390886,396449,402101,407812,413750,419568,425440,431468,437456,443595,449834,456231,462618,469137,475702,482419,489376,496119,503007,509971,516946,523998,531062,538278,545679,553144,560626,568279,575850,583542,591242,599234,607325,615290,623494,631734,640020,648491,656932,665569,674385,683200,692224,701153,710222,719679,729362,738952,748561,758570,768618,778738,789057,799401,809922,820463,831227,842302,853327,864574,875803,887062,898618,910238,921885,933563,945354,957556,969720,982273,995038,1007358,1020149,1033025,1046160,1059297,1072664,1086129,1099571,1113313,1127228,1141007,1155227,1169697,1184114,1198741,1213481,1228450,1243548,1258854,1274329,1290189,1306078,1322276,1338594,1355168,1371929,1388586,1405602,1422925,1440170,1457923,1475673,1493590,1511981,1530118,1548803,1567387,1586383
1,1,1,1,2,4,5,5,10,12,12,13,14,15,15,16,17,18,20,21,25,27,30,33,37,43,48,50,56,59,62,65,68,74,79,87,92,99,106,116,130,141,152,161,169,178,188,194,203,208,214,228,246,255,267,281,291,307,326,335,346,359,376,390,409,427,449,468,481,495,515,533,552,565,587,611,630,652,669,681,697,715,738,756,769,792,808,836,861,885,909,933,964,984,1016,1046,1076,1117,1151,1185,1221,1261,1307,1354,1384,1421,1468,1514,1554,1613,1662,1698,1747,1788,1828,1873,1919,1965,2006,2046,2083,2126,2161,2205,2251,2300,2348,2402,2452,2500,2538,2584,2619,2647,2687,2734,2781,2819,2874,2931,2975,3030,3075,3120,3169,3219,3272,3325,3387,3453,3532,3587,3653,3718,3787,3867,3934,4016,4108,4185,4259,4352,4451,4516,4598,4679,4773,4859,4948,5022,5095,5188,5294,5390,5467,5558,5634,5708,5814,5912,6002,6102,6201,6291,6396,6487,6583,6675,6759,6870,6951,7062,7175,7268,7370,7450,7563,7654,7768,7879,7976,8086,8198,8290,8406,8509,8605,8724,8843,8964,9082,9191,9314,9451,9575,9716,9845,9983,10132,10322,10480,10639,10815,10947,11108,11288,11478,11661,11843,12019,12180,12349,12533,12726,12947,13126,13329,13549,13782,13972,14199,14429,14645,14863,15114,15373,15612,15817,16065,16316,16590,16837,17086,17354,17630,17904,18178,18458,18771,19054,19334,19630,19934,20232,20548,20880,21210,21533,21861,22219,22606,22972,23422,23810,24201,24605,24999,25425,25878,26346,26815,27307,27796,28274,28752,29271,29798,30303,30821,31349,31914,32477,33069,33712,34337,34896,35503,36139,36775,37387,38007,38644,39320,39980,40649,41354,42066,42791,43477,44142,44862,45543,46267,47036,47743,48462,49209,49955,50686,51446,52196,52953,53742,54517,55390,56253,57127,57954,58799,59691,60570,61409,62272,63141,64063,64966,65907,66867,67824,68812,69798,70770,71800,72853,73860,74910,76003,77101,78175,79336,80452,81608,82731,83846,85017,86233,87502,88787,90103,91340,92645,94003,95325,96762,98164,99656,101066,102575,104106,105614,107112,108748,110437,112094,113820,115545,117323,119077,120903,122696,124483,126304,128159,129993,131891,133781,135662,137694,139679,141653,143691,145757,147806,149927,152070,154273,156548,158816,161199,163506,165975,168439,170885,173487,176091,178751,181337,183994,186656,189378,192101,194933,197804,200599,203523,206366,209245,212320,215381,218537,221649,224624,227701,230798,234048,237233,240568,243802,247183,250638,254080,257560,261113,264654,268256,271946,275679,279368,283206,286950,290981,295117,299184,303288,307347,311637,315988,320293,324669,329147,333642,338229,342702,347451,352171,357127,361917,366777,371761,376768,381879,387151,392455,397853,403157,408409,413936,419497,425045,430626,436335,442129,447894,453793,459758,465932,471937,478199,484544,491007,497369,503966,510764,517632,524476,531491,538595,545805,553086,560436,567944,575558,583264,591012,599034,606928,615081
1,1,1,1,3,3,3,3,5,7,8,11,13,13,13,19,23,24,30,35,43,46,54,59,70,83,88,97,110,121,129,135,146,153,167,181,190,203,210,215,221,227,232,239,253,260,264,270,282,288,294,302,307,319,328,331,338,344,355,369,377,387,398,410,420,430,441,452,466,477,485,489,498,505,510,528,536,541,556,574,586,598,610,624,638,646,658,676,690,700,722,735,746,760,781,799,817,834,852,868,883,900,927,946,972,995,1024,1047,1066,1088,1124,1153,1179,1213,1239,1264,1289,1321,1353,1391,1417,1454,1503,1546,1579,1612,1647,1680,1713,1760,1796,1844,1887,1928,1974,2017,2054,2093,2133,2183,2231,2272,2319,2360,2420,2469,2524,2590,2631,2694,2776,2837,2910,2963,3008,3063,3114,3185,3258,3309,3381,3436,3508,3568,3638,3713,3785,3855,3948,4037,4123,4186,4290,4386,4464,4549,4652,4752,4856,4969,5074,5185,5315,5463,5598,5721,5853,5996,6109,6254,6401,6536,6683,6838,6992,7138,7298,7427,7562,7717,7857,8015,8182,8357,8504,8646,8793,8950,9097,9262,9416,9571,9705,9875,10004,10152,10330,10530,10699,10860,11043,11204,11382,11548,11682,11862,12011,12180,12346,12533,12728,12903,13093,13290,13507,13719,13933,14136,14353,14556,14777,14978,15205,15421,15607,15835,16079,16329,16544,16761,17015,17250,17491,17731,17964,18238,18479,18746,19027,19277,19558,19825,20082,20368,20633,20900,21195,21480,21751,22059,22347,22633,22904,23201,23466,23759,24079,24359,24668,24964,25283,25583,25875,26187,26491,26819,27160,27497,27812,28199,28577,28933,29285,29610,29937,30328,30670,31005,31384,31750,32100,32447,32821,33195,33547,33986,34330,34700,35088,35476,35871,36263,36683,37079,37481,37890,38327,38777,39254,39741,40243,40696,41196,41725,42260,42775,43314,43869,44415,45000,45579,46140,46729,47277,47827,48417,49027,49650,50269,50882,51545,52180,52807,53441,54104,54731,55393,56044,56670,57352,58055,58774,59487,60255,61010,61710,62406,63195,63929,64668,65423,66260,67049,67840,68616,69437,70275,71113,71972,72840,73698,74576,75476,76369,77300,78173,79093,80021,81032,82000,83076,84052,85157,86230,87339,88471,89602,90779,91959,93167,94392,95674,96949,98183,99438,100699,101991,103338,104761,106225,107611,109075,110533,111973,113400,114905,116431,117945,119541,121116,122693,124362,125966,127568,129170,130794,132529,134350,136056,137761,139561,141333,143134,144989,146827,148735,150665,152599,154672,156726,158791,160987,163099,165179,167319,169498,171765,174060,176444,178884,181334,183745,186227,188697,191201,193799,196450,199154,201964,204836,207677,210500,213485,216464,219496,222572,225631,228720,231946,235121,238458,241839,245202,248621,252063,255585,259111,262788,266447,270154,274036,277828,281630,285617,289672,293779,297981,302126,306305,310567,314850,319201,323540,327944,332415,337061,341659,346451,351158,355801,360629,365568,370470,375450,380619,385835,391117
1,1,1,1,3,4,7,9,10,13,14,15,18,20,22,22,25,31,33,39,40,42,47,56,62,73,78,87,96,102,111,120,131,141,146,156,163,167,170,176,185,190,195,199,209,219,230,240,252,262,273,290,296,312,330,344,362,384,397,412,426,443,459,485,513,534,568,603,627,656,677,710,740,775,817,844,876,899,926,954,994,1021,1058,1089,1120,1149,1190,1219,1265,1308,1351,1390,1434,1473,1515,1555,1597,1630,1673,1716,1760,1805,1855,1903,1955,1989,2034,2072,2109,2148,2209,2265,2318,2374,2421,2463,2514,2553,2607,2655,2702,2757,2792,2847,2896,2945,3002,3071,3127,3197,3273,3339,3406,3478,3542,3619,3689,3770,3855,3950,4015,4081,4152,4234,4317,4397,4497,4574,4668,4765,4853,4945,5034,5134,5217,5300,5385,5481,5577,5678,5780,5876,5991,6088,6184,6293,6412,6521,6637,6791,6909,7022,7166,7300,7451,7585,7722,7885,8031,8192,8361,8508,8667,8826,8981,9132,9261,9413,9573,9726,9897,10076,10261,10408,10611,10796,10962,11123,11292,11487,11667,11853,12043,12221,12401,12589,12789,12983,13185,13423,13616,13807,14078,14326,14549,14763,15013,15287,15553,15828,16107,16403,16726,17063,17360,17668,18018,18327,18646,19011,19344,19721,20094,20479,20872,21271,21657,22042,22439,22833,23224,23597,23993,24434,24826,25233,25735,26165,26645,27151,27629,28096,28590,29062,29564,30144,30668,31209,31765,32382,32981,33599,34269,34890,35509,36158,36784,37448,38143,38822,39505,40180,40932,41679,42356,43085,43801,44537,45279,46033,46789,47559,48354,49184,50051,50884,51725,52596,53493,54416,55329,56305,57298,58278,59348,60408,61484,62522,63627,64708,65795,66913,68048,69220,70496,71673,72907,74202,75479,76860,78164,79488,80831,82196,83500,84854,86239,87657,89061,90465,91978,93488,94970,96464,98063,99684,101282,102840,104487,106110,107724,109413,111244,112995,114830,116639,118462,120272,122269,124092,125982,127870,129980,131989,134051,136143,138324,140507,142750,144994,147216,149519,151812,154098,156430,158869,161245,163728,166249,168747,171410,174098,176763,179408,182057,184753,187437,190212,193015,195887,198799,201842,204885,207953,211129,214296,217599,220813,224199,227541,231091,234593,238236,241861,245604,249261,253055,256871,260742,264784,268767,272910,276994,281174,285413,289696,294079,298450,302868,307396,311796,316236,320937,325598,330326,335177,340170,345166,350145,355215,360388,365650,370991,376539,381995,387566,393221,399025,404845,410772,416703,422702,428854,435226,441654,448113,454460,461031,467868,474763,481555,488464,495504,502811,509994,517303,524780,532466,540153,547959,555660,563614,571694,580041,588290,596823,605393,614190,623102,632222,641285,650542,659867,669384,679123,689098,698944,709075,719319,729875,740235,750739,761569,772538,783522,794678,806103,817750,829368,841244,853242,865448,877829,890337,902858,915659,928846,941990,955004,968230,981783,995364,1009463,1023636,1038013,1052534,1067113,1081929,1096682,1111634,1126949,1142402,1158108,1174015,1190272,1206651,1223318
1,1,1,1,1,2,3,7,8,10,11,12,14,14,16,20,20,24,31,36,45,49,53,65,75,82,97,109,116,124,135,142,156,165,174,186,194,203,214,226,242,250,266,285,306,322,338,358,379,411,438,459,479,507,537,561,605,640,681,712,750,781,815,841,888,922,949,984,1025,1076,1118,1158,1196,1232,1286,1335,1375,1426,1474,1524,1573,1629,1675,1731,1796,1862,1932,1990,2043,2105,2159,2228,2290,2362,2407,2470,2546,2638,2703,2779,2847,2944,3028,3107,3182,3266,3356,3435,3535,3625,3719,3787,3870,3963,4038,4116,4209,4300,4392,4474,4546,4617,4700,4790,4865,4947,5038,5112,5177,5255,5339,5411,5499,5577,5673,5753,5815,5893,5972,6045,6131,6201,6304,6383,6465,6571,6668,6765,6869,6951,7055,7143,7253,7338,7418,7527,7642,7736,7847,7961,8052,8170,8275,8395,8495,8583,8693,8783,8895,9007,9126,9217,9322,9431,9542,9636,9734,9837,9945,10056,10156,10258,10369,10458,10576,10677,10804,10922,11058,11198,11321,11454,11571,11703,11840,11965,12093,12220,12349,12491,12638,12781,12928,13079,13201,13337,13502,13655,13811,13960,14089,14230,14382,14530,14703,14863,15012,15182,15337,15530,15712,15889,16074,16266,16464,16673,16901,17115,17343,17570,17794,18032,18255,18496,18738,18994,19232,19459,19682,19956,20206,20445,20700,20963,21197,21446,21696,21954,22211,22492,22741,22992,23264,23556,23807,24110,24398,24709,25004,25268,25556,25837,26132,26469,26773,27127,27445,27737,28065,28409,28736,29062,29390,29768,30130,30451,30764,31126,31493,31875,32239,32601,32995,33359,33711,34095,34455,34868,35291,35737,36178,36604,37041,37479,37916,38365,38869,39381,39862,40381,40839,41345,41880,42444,42959,43459,44044,44564,45096,45677,46201,46750,47347,47900,48477,49014,49601,50152,50685,51280,51907,52505,53116,53723,54318,54939,55548,56175,56841,57513,58138,58822,59525,60273,61005,61713,62455,63208,63955,64680,65463,66269,67042,67883,68715,69546,70425,71318,72174,73010,73930,74876,75782,76642,77566,78514,79525,80536,81560,82558,83567,84568,85563,86568,87673,88717,89773,90928,92105,93347,94586,95782,97063,98281,99483,100733,102023,103332,104669,106002,107378,108768,110214,111698,113087,114550,116016,117541,119066,120583,122154,123729,125463,127081,128692,130373,132013,133762,135422,137152,138924,140704,142465,144366,146238,148138,150077,152083,154005,155939,157882,159824,161928,164057,166076,168219,170348,172630,174809,177034,179259,181516,183769,186040,188449,190808,193237,195752,198241,200724,203359,205952,208669,211491,214241,217024,219809,222681,225626,228554,231591,234640,237635,240827,243921,247208,250439,253675,257023,260515,263996,267452,271057,274691,278446,282130,285787,289540,293435,297246,301178,305093,309149,313275,317425,321531,325683,329864,334161,338459,342828,347226,351641,356183,360703,365304,370016,374720,379522,384306,389190,394091,399172,404160,409335,414644,420000,425321,430609,435959,441513,447121,452637,458372,464029,469889,475848
1,1,3,4,6,10,10,12,13,15,18,18,20,21,21,22,27,38,44,48,52,53,57,64,65,67,72,79,85,94,96,106,120,126,132,140,151,164,172,188,197,217,234,253,266,277,293,324,350,361,379,399,429,460,486,511,534,560,574,592,623,667,707,731,769,804,838,873,904,944,992,1031,1077,1117,1154,1185,1227,1270,1327,1379,1425,1488,1547,1608,1684,1753,1802,1860,1926,1996,2079,2141,2207,2283,2353,2428,2510,2578,2650,2727,2806,2891,2977,3066,3161,3244,3330,3401,3487,3573,3677,3771,3863,3937,4005,4093,4192,4283,4381,4460,4558,4651,4739,4840,4951,5067,5165,5292,5416,5522,5628,5742,5867,6008,6141,6259,6388,6522,6654,6781,6907,7040,7164,7299,7430,7580,7727,7878,8033,8175,8317,8465,8602,8732,8866,9011,9162,9300,9424,9564,9687,9830,9969,10120,10277,10398,10540,10678,10830,10984,11122,11261,11394,11536,11677,11828,11975,12147,12320,12451,12626,12795,12975,13147,13323,13494,13664,13831,13999,14178,14357,14528,14716,14910,15095,15318,15530,15751,15956,16180,16390,16600,16837,17061,17288,17518,17725,17919,18164,18408,18684,18927,19174,19390,19613,19833,20085,20327,20575,20813,21048,21301,21554,21794,22061,22310,22612,22888,23153,23450,23723,23982,24259,24538,24855,25140,25431,25740,26047,26373,26680,27007,27357,27729,28075,28412,28807,29168,29557,29934,30328,30675,31057,31471,31883,32308,32701,33103,33481,33874,34281,34699,35130,35559,35966,36405,36863,37303,37732,38226,38731,39276,39780,40272,40795,41305,41884,42448,42964,43516,44043,44625,45217,45836,46476,47144,47812,48530,49262,49948,50707,51439,52215,52971,53737,54552,55386,56249,57157,58067,58980,59865,60858,61810,62848,63865,64820,65939,67055,68147,69322,70475,71765,72990,74197,75452,76660,78044,79392,80745,82072,83402,84814,86232,87754,89192,90699,92174,93767,95392,96997,98511,100126,101688,103314,104958,106603,108281,109927,111653,113322,115028,116785,118452,120189,122036,123811,125603,127400,129240,131050,132865,134671,136514,138432,140382,142411,144394,146442,148476,150498,152524,154664,156851,159083,161293,163493,165736,168062,170433,172752,175144,177714,180248,182707,185227,187827,190389,193070,195793,198594,201340,204193,207066,209825,212669,215510,218495,221463,224534,227543,230685,233769,236811,240053,243201,246345,249683,252985,256296,259632,263015,266556,270044,273745,277355,280912,284637,288325,292194,296068,299992,303953,308023,312112,316270,320491,324772,329073,333407,337881,342319,346779,351248,355905,360671,365350,370050,374910,379881,384842,389976,395193,400369,405664,410962,416307,421836,427216,432800,438400,444139,450037,456066,461979,468042,474201,480477,486551,492894,499297,505895,512486,519062,525829,532632,539338,546332,553575,560838,568130,575416,582876,590574,598350,606029,613949,622029,630165,638550,646859,655371,664065,672817,681677,690621,699700,708787,718179,727763,737292,747140,756918,766837,777001,787137,797389,807731,818349,828826,839811,850525,861495,872610,884069,895406,907023
1,1,1,1,1,3,4,5,5,8,10,11,17,19,21,24,26,30,30,32,41,46,48,53,55,61,70,78,86,93,100,108,116,131,141,147,153,163,170,175,185,192,201,207,214,218,224,231,237,238,243,245,250,253,256,261,268,272,277,281,288,295,303,309,314,321,325,330,339,346,352,362,369,376,384,393,403,416,423,426,440,449,461,472,479,485,493,505,509,518,538,551,558,573,579,593,608,623,635,650,676,693,708,736,753,770,791,808,838,867,901,934,955,984,1026,1053,1098,1132,1167,1204,1236,1282,1318,1362,1401,1452,1496,1555,1605,1651,1700,1752,1807,1860,1906,1966,2018,2088,2146,2211,2280,2348,2418,2473,2560,2641,2700,2782,2854,2929,3015,3098,3179,3264,3345,3443,3548,3652,3745,3830,3930,4049,4174,4304,4425,4522,4630,4743,4846,4953,5085,5212,5331,5448,5574,5716,5835,5969,6110,6268,6449,6593,6747,6899,7063,7259,7411,7596,7771,7963,8185,8413,8638,8867,9101,9346,9589,9827,10064,10330,10590,10841,11086,11351,11620,11888,12178,12455,12735,13001,13331,13641,13909,14221,14516,14845,15164,15460,15786,16099,16423,16780,17146,17508,17856,18219,18603,18985,19400,19841,20245,20676,21088,21540,21964,22371,22812,23240,23684,24152,24582,25054,25483,25966,26488,26973,27464,27950,28473,28960,29465,29994,30519,31096,31653,32184,32759,33341,33953,34566,35138,35789,36475,37146,37781,38447,39154,39851,40563,41328,42058,42810,43514,44250,45010,45769,46573,47360,48106,48938,49719,50539,51345,52155,52974,53824,54671,55558,56364,57177,58020,58880,59778,60617,61528,62447,63366,64322,65306,66301,67300,68259,69280,70303,71360,72357,73422,74404,75511,76555,77685,78686,79780,80894,82031,83229,84416,85610,86769,87995,89164,90312,91531,92779,93971,95182,96438,97673,98933,100211,101527,102792,104131,105446,106808,108148,109467,110821,112284,113668,115026,116477,118017,119566,121105,122690,124282,125908,127654,129363,130976,132668,134426,136215,138071,139938,141753,143733,145612,147689,149769,151819,153889,156027,158199,160367,162540,164790,167099,169374,171652,173926,176232,178594,180917,183356,185859,188407,190985,193647,196270,198918,201764,204548,207486,210390,213284,216308,219352,222490,225600,228748,232138,235446,238793,242149,245534,249038,252608,256074,259612,263189,266896,270546,274221,278002,281848,285656,289556,293359,297301,301278,305266,309365,313502,317615,321785,326199,330483,334860,339324,343913,348582,353252,357978,362801,367728,372609,377552,382634,387807,393101,398327,403583,409052,414455,419898,425397,430908,436563,442234,448021,453803,459649,465575,471531,477731,483993,490244,496525,502992,509619,516160,523029,529839,536807,543710,550920,557937,565246,572591,579932,587523,595129,602859,610635,618651,626695,634830,643178,651472,659953,668504,677157,685883,694777,703870,712900,722238,731537,740993,750708,760392,770145,780194,790460,800566,810853,821368,831980,842561,853347,864331,875513,886571,898114,909606
1,1,3,6,7,9,11,12,12,17,19,19,21,22,25,25,28,32,33,42,47,53,63,71,77,87,94,105,117,124,131,143,149,161,172,185,199,207,213,222,233,243,257,263,276,287,294,305,312,318,328,330,335,345,353,362,371,376,384,393,402,410,414,422,425,433,442,451,456,471,481,491,506,514,523,538,550,567,578,600,618,630,651,666,685,706,726,747,773,794,813,827,837,859,867,882,894,905,927,948,973,983,997,1011,1025,1038,1052,1068,1081,1099,1119,1147,1170,1196,1218,1239,1265,1290,1305,1330,1352,1383,1410,1440,1466,1497,1529,1564,1595,1630,1673,1707,1734,1786,1829,1869,1913,1941,1978,2011,2051,2091,2145,2183,2242,2280,2330,2375,2414,2451,2493,2532,2565,2615,2670,2718,2775,2818,2882,2935,2991,3034,3090,3129,3176,3225,3284,3351,3410,3470,3520,3588,3649,3703,3758,3832,3900,3986,4061,4143,4214,4294,4388,4454,4541,4626,4707,4793,4881,4970,5060,5146,5238,5311,5402,5488,5571,5687,5782,5877,5971,6071,6165,6257,6367,6475,6581,6685,6807,6907,7020,7151,7272,7389,7506,7639,7764,7920,8070,8207,8354,8480,8630,8793,8945,9100,9245,9401,9583,9758,9941,10101,10280,10475,10661,10838,11029,11234,11438,11635,11816,12017,12238,12449,12681,12904,13124,13329,13545,13780,13998,14253,14493,14729,14950,15167,15420,15648,15901,16137,16372,16615,16855,17114,17390,17661,17931,18207,18468,18734,19002,19302,19587,19869,20176,20484,20812,21107,21451,21784,22130,22480,22836,23217,23585,23957,24342,24721,25135,25531,25914,26323,26731,27167,27605,27990,28473,28915,29364,29840,30337,30788,31257,31688,32198,32691,33269,33784,34291,34859,35425,36008,36593,37098,37627,38174,38696,39262,39797,40353,40939,41538,42119,42682,43321,43966,44574,45208,45907,46494,47145,47794,48476,49142,49783,50485,51199,51925,52661,53407,54128,54793,55502,56237,56988,57724,58447,59210,60008,60733,61490,62263,63010,63798,64520,65353,66130,66984,67816,68728,69644,70546,71459,72369,73260,74203,75151,76111,77071,78078,79114,80204,81243,82327,83407,84543,85669,86834,87996,89125,90360,91512,92661,93824,95049,96316,97500,98683,99946,101217,102468,103731,105084,106369,107719,109073,110479,111934,113321,114759,116214,117707,119236,120678,122150,123725,125303,126861,128565,130271,131873,133541,135193,136956,138726,140515,142338,144227,146012,147957,149827,151775,153694,155691,157676,159735,161791,163859,165964,168025,170046,172205,174407,176655,179013,181288,183672,186154,188562,191095,193667,196280,198842,201492,204117,206886,209744,212533,215377,218274,221139,224082,227189,230198,233351,236533,239773,242966,246221,249443,252753,256163,259634,263192,266682,270152,273679,277218,280908,284487,288180,291819,295595,299461,303302,307222,311247,315202,319167,323299,327455,331670,335876,340273,344667,349160,353743,358475,363155,367997,372755,377613,382633,387683,392734,397882,403071
1,1,2,3,4,6,8,11,14,19,22,22,23,26,29,35,41,51,57,60,64,69,76,82,91,101,108,117,129,143,151,160,175,188,205,213,226,236,241,253,266,284,304,319,333,353,377,398,419,444,477,508,545,589,614,649,695,755,797,852,887,932,962,1002,1054,1102,1154,1214,1262,1317,1375,1426,1478,1542,1610,1673,1728,1784,1862,1930,1990,2056,2109,2156,2237,2314,2386,2473,2534,2625,2710,2804,2879,2954,3061,3127,3216,3317,3385,3464,3558,3661,3739,3833,3933,4022,4126,4224,4306,4406,4496,4590,4685,4775,4890,4994,5090,5196,5317,5418,5515,5634,5743,5834,5932,6024,6115,6236,6335,6424,6521,6614,6709,6808,6877,6967,7053,7135,7221,7305,7387,7479,7575,7684,7788,7878,7995,8092,8179,8294,8400,8511,8617,8727,8866,8998,9115,9254,9381,9521,9662,9815,9950,10103,10259,10398,10540,10701,10850,11011,11173,11337,11485,11649,11806,11967,12131,12285,12433,12593,12770,12932,13113,13268,13466,13629,13785,13975,14147,14299,14475,14656,14827,14975,15145,15279,15465,15636,15802,15959,16134,16317,16495,16659,16820,16988,17136,17311,17459,17638,17823,18017,18206,18395,18596,18809,18995,19216,19413,19617,19790,20005,20218,20435,20640,20828,21048,21252,21455,21647,21860,22088,22302,22512,22732,22950,23168,23384,23603,23864,24096,24340,24598,24850,25082,25338,25633,25878,26162,26494,26822,27136,27465,27784,28106,28460,28837,29217,29575,29959,30319,30721,31116,31541,31962,32405,32849,33290,33742,34183,34586,35020,35455,35867,36372,36829,37293,37773,38272,38777,39285,39809,40372,40927,41454,42002,42519,43077,43637,44212,44809,45419,46013,46671,47295,47997,48658,49391,50089,50754,51440,52183,52903,53657,54415,55204,55979,56774,57580,58434,59296,60171,61001,61881,62751,63651,64544,65478,66408,67346,68298,69275,70271,71293,72366,73337,74427,75508,76617,77755,78905,80092,81225,82483,83632,84872,86166,87404,88660,90034,91325,92633,93981,95341,96741,98143,99478,100948,102424,103863,105378,106895,108407,109958,111560,113167,114782,116429,118103,119842,121579,123316,125085,126912,128790,130748,132739,134861,136934,138991,141130,143223,145445,147669,149937,152321,154654,157052,159480,162029,164570,167225,169818,172497,175179,177888,180642,183469,186293,189194,192156,195060,198101,201158,204251,207329,210534,213704,216766,219990,223197,226538,229887,233315,236828,240228,243849,247479,251074,254745,258605,262374,266070,270007,273888,277811,281822,285896,290137,294463,298826,303155,307462,311835,316297,320801,325408,330167,334814,339515,344293,349147,353992,358844,363681,368745,373812,378897,384042,389282,394780,400243,405863,411382,416909,422664,428376,434294,440441,446593,452723,459012,465495,471931,478607,485375,492128,499054,506035,513012,520090,527283,534512,541989,549435,556991,564868,572840,580794,588721,596692,604875,613233,621613,630186,638916,647775,656600,665612,674817,683950,693228,702660,712213,722105,731843,741754,751679,761801,772305,782795,793348,804071,814850,825895,837096,848456
1,1,1,1,1,2,2,5,6,9,9,10,12,17,23,29,30,32,37,45,52,56,64,66,72,77,85,98,112,128,140,150,166,182,197,210,217,229,242,258,270,290,303,318,328,342,362,376,386,403,416,432,441,454,470,482,494,503,513,522,529,541,559,566,578,593,604,619,632,643,658,672,690,715,735,758,781,804,827,849,870,901,934,960,993,1029,1064,1102,1146,1175,1213,1252,1282,1326,1357,1404,1450,1489,1519,1566,1602,1645,1681,1716,1751,1786,1825,1860,1890,1935,1966,2011,2043,2081,2120,2173,2206,2252,2296,2341,2390,2447,2486,2535,2595,2655,2701,2749,2808,2872,2922,2976,3045,3107,3181,3240,3299,3374,3453,3521,3593,3660,3717,3794,3870,3939,3999,4067,4143,4220,4290,4363,4422,4491,4553,4608,4674,4754,4828,4918,4994,5101,5184,5299,5396,5487,5588,5705,5816,5920,6044,6148,6269,6393,6499,6621,6750,6897,7008,7118,7251,7380,7542,7664,7793,7952,8092,8243,8399,8559,8707,8839,8988,9154,9328,9483,9656,9824,10000,10204,10384,10574,10757,10943,11132,11331,11535,11716,11865,12092,12282,12499,12719,12936,13161,13356,13598,13780,14000,14218,14454,14695,14921,15145,15391,15640,15878,16113,16377,16636,16903,17181,17471,17762,18042,18329,18630,18933,19240,19589,19875,20180,20472,20781,21096,21430,21745,22085,22422,22802,23166,23534,23896,24247,24601,24985,25398,25779,26218,26660,27070,27502,27906,28348,28795,29288,29753,30231,30753,31247,31756,32273,32787,33321,33863,34424,34956,35528,36114,36678,37284,37885,38543,39219,39802,40399,41057,41741,42374,43048,43749,44424,45147,45837,46513,47254,47977,48676,49437,50168,50878,51716,52545,53352,54131,54896,55679,56530,57341,58201,59093,60014,60898,61799,62714,63645,64582,65536,66546,67488,68481,69515,70539,71507,72505,73558,74584,75637,76747,77856,78961,80087,81202,82335,83556,84709,85924,87167,88412,89673,90972,92271,93599,95018,96432,97836,99239,100702,102197,103680,105197,106699,108273,109821,111499,113030,114734,116369,118020,119752,121456,123136,124889,126660,128510,130270,132101,133903,135778,137640,139493,141441,143315,145194,147174,149191,151229,153179,155245,157298,159428,161551,163774,165963,168182,170467,172743,175011,177318,179575,181949,184443,186825,189285,191784,194258,196749,199341,201836,204531,207244,210024,212864,215639,218509,221334,224288,227193,230310,233423,236482,239731,242943,246206,249643,253052,256580,260128,263802,267477,271123,274820,278644,282474,286361,290263,294240,298267,302449,306579,310760,315040,319392,323800,328200,332719,337378,342071,346834,351586,356389,361103,365928,370920,375975,380947,386174,391411,396509,401804,407154,412589,418084,423736,429348,435016,440759,446661,452484,458340,464275,470331,476371,482616,488971,495252,501712,508282,514846,521614,528248,535066,541970,548959,555933,563023,570118,577448,585092,592645,600244,608044,615707,623686,631771,639883,648168,656577,664968,673571,682178,690794,699574,708600,717664,726682,736033
1,1,1,2,4,7,8,12,16,19,28,35,43,57,67,78,86,91,103,105,116,128,146,163,178,199,225,236,251,268,283,306,328,350,366,388,404,426,444,461,485,509,534,558,579,597,620,646,668,704,737,764,795,821,867,917,951,992,1048,1106,1144,1194,1237,1288,1337,1406,1470,1532,1610,1691,1771,1845,1921,2006,2091,2176,2276,2364,2435,2513,2592,2672,2759,2866,2945,3046,3141,3241,3330,3427,3509,3593,3674,3756,3827,3904,3967,4042,4129,4209,4287,4363,4425,4494,4571,4649,4740,4809,4881,4970,5053,5143,5214,5293,5361,5463,5563,5664,5776,5879,5978,6094,6208,6293,6409,6516,6649,6763,6885,6995,7094,7196,7324,7464,7591,7731,7907,8056,8194,8346,8494,8669,8857,9028,9229,9416,9611,9805,10032,10246,10456,10667,10882,11085,11283,11510,11750,11999,12250,12505,12780,13026,13294,13597,13866,14146,14427,14698,14969,15213,15527,15803,16080,16382,16685,17002,17294,17577,17866,18181,18470,18786,19087,19386,19668,19967,20287,20587,20892,21205,21539,21834,22173,22510,22848,23211,23573,23952,24335,24695,25029,25394,25749,26142,26513,26891,27295,27696,28067,28445,28784,29189,29624,30022,30428,30816,31223,31617,32019,32440,32858,33294,33717,34157,34610,35084,35561,36026,36513,37015,37449,37968,38453,38957,39443,39971,40463,40981,41491,42034,42583,43146,43703,44259,44852,45388,45978,46596,47221,47798,48432,49080,49676,50318,50973,51647,52292,52952,53642,54345,55011,55699,56459,57172,57938,58639,59370,60114,60930,61692,62500,63337,64138,64947,65786,66581,67372,68189,69022,69869,70723,71618,72550,73442,74347,75319,76288,77287,78293,79326,80311,81312,82364,83429,84575,85630,86687,87770,88870,90033,91233,92502,93742,95025,96287,97612,98878,100162,101520,102943,104315,105728,107129,108570,110013,111558,113037,114507,116032,117600,119204,120826,122360,123985,125628,127192,128885,130553,132347,134117,135899,137712,139537,141480,143269,145152,146970,148874,150862,152784,154703,156754,158862,160937,163037,165251,167430,169620,171934,174216,176623,178952,181343,183814,186289,188800,191351,193949,196576,199253,201951,204655,207394,210252,213192,216157,219102,222172,225249,228471,231712,234930,238269,241720,245064,248464,251946,255450,259030,262555,266213,269765,273528,277355,281207,285042,288919,292743,296683,300670,304659,308821,313065,317416,321668,326065,330437,334902,339351,343973,348692,353388,358251,363044,367942,372905,377980,383108,388347,393573,398982,404377,410041,415651,421188,427038,432835,438738,444599,450654,456711,462759,469034,475306,481885,488466,495037,501714,508496,515374,522298,529167,536292,543487,550749,558296,565815,573345,581046,588768,596810,604737,612814,620971,629423,637848,646266,654987,663772,672729,681776,690737,699838,709161,718698,728145,737941,747732,757490,767423,777678,787944,798183,808673,819356,830200,841319,852481,863708,875024,886527,898182,910132,922260,934300,946636,959126,971509,984244,997133,1010145,1023093,1036371,1049904,1063559,1077502,1091433,1105359,1119926,1134356,1149050,1163696,1178685,1193889,1209496,1225268,1241129
1,1,1,1,2,5,5,7,7,9,11,12,12,13,14,15,16,22,25,27,33,38,44,46,49,53,58,61,64,72,82,92,96,103,111,128,134,141,150,160,167,179,186,195,200,212,223,233,243,254,263,271,280,291,300,310,319,326,338,347,364,374,382,397,407,423,436,452,463,480,494,512,531,553,570,599,634,670,694,718,753,784,818,839,870,913,958,997,1038,1078,1119,1162,1211,1254,1293,1337,1382,1428,1477,1516,1566,1620,1678,1754,1820,1890,1949,2003,2062,2127,2177,2238,2298,2375,2448,2538,2615,2683,2744,2822,2899,2997,3078,3166,3262,3352,3444,3531,3624,3713,3818,3928,4017,4120,4224,4330,4449,4561,4677,4784,4917,5036,5156,5284,5414,5545,5685,5835,5969,6130,6275,6421,6587,6756,6919,7078,7228,7419,7577,7758,7916,8107,8265,8455,8644,8833,9001,9190,9383,9579,9785,10013,10193,10400,10585,10791,11011,11243,11441,11678,11912,12151,12389,12632,12893,13182,13454,13736,14011,14275,14546,14834,15133,15450,15755,16050,16387,16708,17010,17331,17642,17961,18314,18625,18952,19277,19650,20048,20377,20745,21130,21530,21924,22354,22745,23156,23624,24062,24495,24970,25436,25884,26390,26902,27449,27967,28533,29063,29616,30209,30793,31394,31971,32544,33149,33803,34461,35124,35728,36411,37088,37769,38479,39171,39853,40556,41272,42021,42760,43484,44246,45053,45850,46637,47492,48335,49131,50014,50853,51692,52554,53409,54304,55249,56144,57054,58018,58996,60009,61028,62046,63081,64131,65184,66207,67251,68305,69450,70598,71732,72867,74041,75221,76424,77723,79016,80221,81491,82814,84139,85524,86931,88286,89636,91060,92506,94038,95496,97044,98503,99981,101541,103157,104757,106315,107958,109561,111182,112777,114442,116183,117987,119815,121596,123467,125274,127200,129008,130912,132897,134817,136803,138739,140809,142825,144800,146901,149006,151080,153247,155473,157633,159945,162289,164721,167210,169590,172140,174684,177261,179838,182546,185217,187989,190781,193641,196596,199696,202678,205830,208944,212072,215338,218674,222036,225419,228968,232392,236009,239686,243381,247122,250895,254591,258406,262346,266238,270147,274072,278169,282220,286370,290586,295020,299349,303673,307987,312559,316973,321496,326114,330854,335525,340405,345237,350242,355289,360304,365543,370816,376262,381616,387175,392804,398523,404140,409895,415753,421689,427867,434106,440484,446911,453393,459931,466351,472960,479675,486380,492986,499777,506693,513852,520869,528063,535320,542583,549822,557283,564980,572626,580331,588292,596326,604533,612937,621404,629883,638406,647194,656160,665171,674291,683513,692823,702323,711855,721571,731372,741499,751558,761763,772041,782588,793319,803988,814754,825891,836813,847853,859172,870672,882060,893675,905167,916796,928710,940794,952949,965222,977760,990406,1003185,1016104,1029249,1042397,1055930,1069445,1083179,1097099,1111074,1125179,1139632,1154040,1168808,1183505,1198672,1213656,1229041,1244521,1260323,1276142,1292008,1308040,1324436,1340860,1357467,1374154,1391070,1408126,1425613,1442715,1460290,1477995,1495786,1513416,1531676
1,1,1,1,1,4,4,4,4,4,5,6,8,9,11,13,14,15,17,18,24,27,32,39,42,47,47,50,52,56,62,69,76,91,101,110,117,134,143,153,160,165,168,176,192,199,207,220,230,238,244,253,262,278,284,296,307,308,315,324,335,343,357,364,373,385,403,424,442,454,471,492,512,533,550,575,598,624,650,672,702,721,748,774,796,814,825,851,886,910,938,965,983,1019,1052,1089,1122,1151,1176,1200,1233,1267,1298,1333,1369,1414,1450,1493,1536,1575,1606,1652,1696,1735,1784,1824,1868,1916,1979,2040,2102,2157,2221,2272,2339,2421,2494,2569,2652,2769,2855,2942,3027,3121,3220,3301,3389,3467,3568,3665,3757,3864,3946,4033,4134,4240,4350,4438,4520,4596,4673,4765,4852,4955,5058,5160,5249,5371,5485,5595,5725,5844,5962,6070,6205,6331,6464,6630,6782,6919,7063,7196,7343,7493,7647,7794,7924,8079,8243,8403,8577,8747,8901,9036,9188,9322,9467,9625,9778,9928,10088,10238,10393,10560,10728,10918,11097,11253,11422,11587,11793,11991,12178,12378,12556,12766,12990,13180,13381,13589,13836,14093,14320,14562,14794,15026,15280,15558,15799,16051,16310,16566,16848,17123,17400,17660,17941,18228,18500,18810,19121,19419,19735,20056,20380,20707,21059,21401,21796,22150,22515,22919,23348,23749,24151,24543,24987,25360,25772,26251,26701,27162,27632,28098,28563,29043,29539,30029,30517,31020,31503,32049,32578,33075,33581,34080,34573,35129,35705,36244,36777,37351,37895,38516,39122,39670,40278,40871,41463,42058,42635,43213,43863,44485,45124,45783,46451,47098,47731,48421,49065,49676,50326,51022,51707,52395,53108,53875,54604,55296,56047,56788,57530,58319,59071,59853,60626,61386,62168,62941,63778,64590,65397,66249,67144,68061,68977,69856,70727,71649,72543,73459,74406,75444,76426,77467,78484,79601,80671,81764,82840,83969,85107,86231,87349,88460,89616,90825,91990,93250,94433,95671,96954,98280,99631,101027,102372,103727,105057,106464,107880,109368,110899,112377,113922,115445,116997,118568,120269,121938,123578,125212,126915,128747,130492,132285,134216,136110,137888,139887,141852,143871,145820,147822,149886,151960,154033,156090,158164,160367,162517,164688,166955,169262,171545,173955,176238,178593,181027,183397,185967,188466,191201,193905,196511,199186,201951,204734,207586,210309,213161,216066,219070,222127,225150,228181,231290,234492,237704,240975,244276,247563,250822,254025,257411,260913,264496,268116,271751,275404,279071,282893,286758,290658,294637,298686,302699,306755,310799,315104,319392,323880,328372,332927,337504,342116,347019,351814,356604,361575,366615,371727,377037,382248,387575,392901,398320,403823,409446,415062,420572,426172,431877,437742,443689,449702,455708,461810,467885,474318,480769,487273,493761,500489,507122,513885,520797,527746,534800,541841,548836,556157,563454,570869,578452,586119,593834,601755,609653,617667,625713,634133,642341,650894,659443,667989,676744,685678,694549,703823,713027,722484,732050,741932,751753,761873,771908
1,1,1,1,1,2,3,3,5,7,7,10,11,13,14,14,16,18,20,21,25,26,30,32,34,38,40,42,42,47,52,54,59,68,75,79,89,96,105,114,124,131,140,153,167,177,188,204,216,227,237,243,256,265,274,284,293,303,310,317,328,333,342,360,381,401,417,436,457,483,510,526,546,559,586,614,651,675,716,748,806,854,891,935,978,1028,1081,1131,1183,1248,1283,1332,1381,1421,1478,1522,1570,1618,1663,1697,1739,1775,1815,1853,1895,1931,1982,2026,2065,2097,2133,2186,2237,2296,2358,2418,2470,2536,2582,2636,2703,2776,2837,2911,2979,3057,3130,3206,3279,3340,3413,3471,3558,3635,3713,3789,3867,3938,4007,4088,4160,4235,4305,4377,4458,4536,4611,4695,4772,4829,4898,4987,5090,5178,5276,5381,5446,5539,5642,5755,5864,5973,6077,6195,6324,6444,6577,6730,6869,7012,7170,7326,7497,7654,7823,7980,8162,8357,8542,8752,8941,9158,9355,9572,9780,9978,10177,10409,10625,10830,11090,11309,11560,11815,12076,12346,12606,12864,13170,13482,13798,14096,14397,14654,14956,15253,15588,15897,16231,16555,16901,17244,17616,17955,18295,18656,18990,19368,19710,20075,20439,20813,21205,21567,21961,22359,22741,23124,23536,23929,24283,24641,25016,25430,25857,26284,26691,27117,27524,27955,28395,28825,29275,29714,30190,30645,31079,31501,31940,32407,32864,33326,33853,34346,34839,35353,35859,36353,36848,37346,37866,38405,38981,39530,40126,40669,41266,41824,42389,42996,43570,44181,44840,45518,46191,46853,47508,48204,48947,49624,50421,51128,51881,52592,53370,54118,54902,55729,56554,57379,58165,59039,59864,60715,61570,62441,63311,64207,65100,65938,66768,67640,68502,69414,70301,71311,72204,73097,74070,74978,75927,76946,77944,79022,80028,81069,82136,83196,84290,85265,86407,87520,88627,89762,90982,92133,93387,94561,95776,97015,98350,99681,100911,102228,103585,104898,106276,107634,109016,110427,111853,113292,114808,116343,117935,119478,121058,122602,124183,125781,127486,129247,131065,132807,134622,136406,138173,139974,141793,143709,145617,147569,149538,151558,153608,155623,157790,159919,162091,164188,166341,168600,170827,173172,175423,177780,180164,182521,184926,187394,189975,192609,195275,197924,200525,203147,205942,208729,211507,214361,217216,220055,223091,226051,229071,232195,235300,238475,241717,245023,248357,251759,255124,258465,261963,265410,268899,272521,276105,279772,283476,287290,291046,294836,298773,302784,306832,310778,314982,319162,323355,327723,332066,336620,341114,345712,350343,355080,359743,364616,369474,374366,379475,384736,389981,395276,400478,405809,411118,416535,422066,427642,433393,439159,444895,450835,456798,462705,468765,475091,481401,487708,494095,500453,506898,513583,520273,527101,533949,540984,547863,554925,562136,569529,576978,584538,592220,599865,607478,615530,623623,632029,640365,649022,657648,666315,675143,684195,693501,703003,712396,721861,731378,741123,751043,761103,771417,781662,792151,802866,813619,824255,835324,846541,857962,869319,880717
1,1,3,5,5,6,6,8,11,14,15,18,20,21,26,31,37,47,52,60,66,76,81,95,104,111,122,125,130,141,157,169,178,189,202,219,236,252,266,280,298,319,346,364,385,413,443,466,504,531,562,597,630,659,697,725,753,808,861,904,952,993,1037,1073,1117,1165,1204,1270,1336,1384,1432,1480,1519,1575,1621,1677,1722,1792,1850,1914,1987,2052,2112,2168,2236,2311,2369,2445,2541,2622,2684,2761,2834,2911,2989,3058,3120,3197,3282,3351,3423,3507,3584,3668,3747,3840,3931,4018,4108,4200,4295,4381,4474,4570,4667,4753,4862,4952,5036,5113,5211,5299,5401,5503,5597,5700,5798,5914,6019,6120,6207,6315,6410,6503,6619,6727,6831,6965,7073,7172,7264,7377,7491,7596,7691,7794,7901,8000,8086,8190,8297,8408,8510,8618,8721,8828,8931,9009,9111,9217,9334,9441,9555,9662,9782,9897,9993,10100,10199,10321,10424,10539,10666,10768,10884,11008,11143,11271,11405,11512,11642,11793,11941,12079,12201,12374,12516,12674,12828,12982,13155,13302,13478,13641,13804,13971,14152,14317,14502,14719,14898,15118,15304,15517,15710,15910,16128,16335,16573,16761,16984,17258,17529,17775,18037,18282,18520,18745,19021,19274,19556,19821,20069,20333,20632,20924,21220,21565,21857,22140,22459,22772,23086,23397,23735,24061,24396,24722,25068,25376,25741,26083,26412,26774,27131,27555,28003,28388,28760,29165,29597,29945,30353,30799,31217,31636,32108,32583,33021,33507,33997,34510,35039,35534,36072,36582,37110,37622,38152,38692,39232,39750,40344,40922,41507,42070,42625,43207,43799,44383,44946,45560,46213,46864,47463,48152,48770,49401,50030,50682,51413,52117,52790,53475,54156,54904,55626,56321,57030,57710,58443,59151,59846,60577,61294,62044,62710,63410,64163,64900,65642,66372,67149,67955,68677,69451,70239,71021,71913,72734,73577,74463,75394,76300,77232,78147,79108,80080,81048,82070,83107,84142,85222,86296,87355,88455,89572,90662,91811,93007,94144,95282,96477,97636,98836,100107,101346,102646,103913,105261,106571,107943,109294,110624,112022,113442,114830,116248,117718,119194,120764,122233,123711,125290,126844,128308,129938,131631,133320,134974,136633,138314,140033,141776,143536,145285,147068,148902,150803,152664,154642,156637,158641,160601,162649,164647,166730,168810,170837,172965,175121,177370,179647,181930,184171,186572,189013,191477,193926,196400,198955,201487,204017,206633,209285,211963,214703,217422,220218,223063,225948,228872,231897,234934,237999,241095,244351,247551,250810,254299,257660,261019,264418,267972,271544,275138,278685,282281,285888,289704,293385,297169,301085,305001,309024,313080,317181,321352,325487,329803,334039,338298,342683,347071,351395,355797,360242,364731,369171,373716,378395,383267,388108,392926,397737,402646,407628,412575,417738,422898,428140,433445,438866,444317,449883,455665,461349,467172,472906,478666,484382,490258,496285,502278,508396,514731,521156,527640,534208,540965,547724,554482,561320,568251,575357,582486,589669,597084,604546,611961,619473,627122,634788,642692,650715,658829,666875
1,1,1,1,1,3,4,7,10,13,15,25,28,35,37,39,41,45,53,61,67,72,82,88,105,123,135,154,167,175,186,192,211,224,247,269,293,311,328,346,366,389,416,448,465,496,528,555,567,596,631,651,680,700,725,757,782,805,833,856,891,928,944,965,988,1028,1049,1065,1099,1128,1158,1187,1217,1256,1299,1332,1369,1404,1456,1505,1544,1584,1635,1696,1760,1829,1883,1937,1998,2057,2129,2197,2262,2322,2384,2458,2525,2583,2667,2740,2817,2894,2968,3040,3127,3206,3294,3389,3460,3544,3620,3711,3793,3875,3947,4034,4118,4197,4275,4362,4446,4531,4623,4704,4782,4866,4945,5035,5143,5235,5319,5411,5506,5597,5668,5764,5854,5954,6061,6178,6281,6376,6496,6616,6750,6864,6969,7089,7241,7378,7527,7673,7839,7973,8105,8247,8392,8524,8659,8793,8944,9115,9247,9392,9545,9721,9891,10070,10275,10450,10621,10818,11033,11254,11478,11686,11878,12071,12286,12491,12718,12937,13180,13387,13599,13808,14015,14234,14466,14710,14953,15207,15441,15665,15909,16169,16422,16689,16952,17213,17492,17775,18041,18320,18614,18852,19119,19416,19723,20026,20337,20621,20928,21231,21558,21873,22196,22551,22896,23247,23589,23938,24301,24662,25015,25349,25718,26086,26455,26849,27238,27598,28024,28417,28821,29210,29606,29989,30367,30791,31221,31644,32090,32504,32923,33382,33824,34268,34706,35155,35661,36165,36696,37136,37611,38104,38635,39123,39702,40257,40830,41411,42045,42666,43275,43857,44474,45108,45773,46441,47103,47755,48423,49125,49855,50571,51387,52135,52894,53738,54580,55443,56254,57117,58024,58949,59919,60890,61864,62848,63848,64859,65863,66898,67908,68967,70002,71056,72184,73270,74422,75587,76696,77874,79074,80289,81471,82692,83887,85130,86409,87711,89013,90330,91717,93113,94614,96087,97525,98992,100451,101948,103499,105040,106559,108062,109676,111333,112929,114572,116195,117830,119502,121220,122906,124604,126355,128068,129934,131674,133468,135405,137330,139357,141341,143397,145544,147713,149753,151848,154104,156314,158505,160823,163078,165409,167867,170322,172818,175311,177860,180345,182885,185555,188145,190860,193577,196397,199245,202000,204859,207713,210683,213657,216665,219596,222747,225997,229254,232475,235742,238895,242155,245582,248883,252224,255735,259326,262893,266597,270126,273749,277466,281263,285014,288803,292601,296623,300680,304726,308757,312792,316909,320968,325205,329417,333696,338018,342279,346680,351258,355738,360324,364948,369616,374406,379252,384121,389149,394217,399246,404313,409553,414868,420150,425594,431063,436689,442232,448117,453984,459847,465801,471694,477877,484096,490593,497086,503523,510153,516821,523467,530322,537445,544342,551597,558913,566330,573893,581523,589300,597045,604953,613007,621129,629343,637566,646041,654557,663210,671883,680552,689375,698268,707352,716510,725727,735014,744603,754238,764002,773583,783600,793670,803988,814229,824690,835430,846220,857080,868268,879438,890758,902266,913773,925537,937567,949960,962107,974364,986889,999574,1012397,1025382,1038381,1051831,1065199
1,1,1,2,2,4,4,5,6,10,12,12,12,12,12,14,14,15,16,17,17,20,23,24,25,26,27,32,38,44,48,51,56,58,62,69,76,84,94,101,110,120,123,135,145,161,169,183,192,198,202,211,216,226,230,237,241,246,251,257,263,270,272,281,289,299,312,328,348,364,377,395,413,432,452,477,499,533,561,582,605,636,664,690,722,748,783,809,836,862,891,917,952,986,1027,1062,1090,1126,1163,1194,1233,1261,1300,1337,1380,1432,1479,1518,1570,1613,1658,1700,1732,1778,1816,1864,1917,1968,2016,2050,2080,2126,2176,2222,2267,2301,2341,2372,2413,2457,2502,2540,2586,2617,2654,2687,2732,2762,2786,2818,2842,2884,2926,2960,2997,3041,3082,3119,3164,3205,3252,3285,3324,3361,3413,3450,3502,3553,3601,3648,3705,3768,3821,3879,3937,3993,4052,4111,4187,4263,4329,4388,4444,4515,4590,4644,4713,4777,4844,4908,4986,5040,5109,5187,5256,5324,5363,5436,5505,5568,5626,5703,5787,5876,5953,6030,6102,6184,6253,6328,6394,6479,6573,6640,6724,6797,6882,6978,7059,7141,7241,7328,7428,7521,7610,7684,7767,7850,7932,8025,8122,8203,8295,8394,8488,8600,8697,8797,8891,9007,9106,9203,9311,9414,9527,9643,9760,9887,10013,10137,10267,10397,10531,10659,10805,10928,11060,11182,11304,11431,11573,11700,11853,11989,12130,12243,12405,12561,12723,12880,13021,13174,13343,13509,13689,13895,14059,14239,14432,14616,14809,15010,15199,15405,15618,15795,15995,16234,16465,16703,16924,17169,17398,17648,17927,18176,18440,18727,19006,19294,19573,19868,20154,20465,20793,21101,21400,21702,22039,22358,22691,22982,23327,23649,24018,24368,24706,25007,25348,25724,26090,26459,26830,27229,27614,27995,28354,28786,29217,29634,30106,30598,31052,31494,31975,32448,32970,33500,34002,34532,35122,35674,36245,36828,37417,38025,38664,39249,39895,40551,41194,41861,42576,43251,43944,44600,45320,46044,46744,47432,48127,48823,49590,50381,51181,51907,52744,53565,54421,55274,56140,57057,57978,58897,59841,60846,61820,62826,63836,64822,65833,66885,67927,69065,70171,71264,72401,73584,74723,75940,77124,78314,79566,80810,82101,83383,84674,85982,87343,88744,90119,91536,93006,94443,95957,97472,99033,100598,102144,103650,105233,106843,108481,110025,111676,113340,115122,116978,118824,120724,122550,124460,126396,128353,130374,132425,134468,136583,138757,140878,143072,145252,147538,149845,152095,154397,156803,159143,161519,163961,166496,169031,171621,174184,176765,179393,182039,184754,187535,190298,193237,196189,199094,202080,205034,208178,211215,214391,217674,220943,224233,227632,231122,234501,238037,241551,245180,248803,252467,256170,259923,263716,267479,271426,275419,279506,283706,287899,292212,296426,300831,305164,309480,313920,318627,323410,328137,332899,337743,342596,347733,352733,357809,363100,368222,373553,378862,384354,389849,395365,400911,406721,412423,418278,424280,430168,436157
1,1,1,1,3,5,7,10,15,17,18,21,22,28,32,41,45,51,56,64,71,77,87,101,111,127,136,147,162,176,188,198,218,234,250,264,279,291,312,338,356,374,399,418,433,457,476,503,523,539,561,593,625,645,672,697,722,754,786,812,840,865,893,923,949,985,1022,1056,1096,1122,1164,1190,1207,1243,1268,1294,1343,1367,1407,1453,1496,1553,1595,1640,1694,1746,1800,1857,1909,1983,2057,2125,2195,2277,2362,2440,2516,2599,2679,2750,2837,2920,3007,3104,3178,3250,3339,3413,3502,3582,3663,3757,3857,3945,4050,4129,4226,4327,4413,4509,4606,4701,4778,4868,4966,5075,5176,5275,5376,5476,5581,5668,5760,5873,5998,6112,6242,6365,6502,6607,6745,6890,7024,7166,7306,7457,7603,7792,7968,8156,8329,8483,8655,8833,9046,9242,9469,9691,9919,10141,10373,10654,10898,11157,11417,11685,11950,12224,12469,12755,13044,13322,13606,13926,14203,14481,14772,15074,15344,15654,15979,16243,16526,16849,17192,17518,17821,18153,18489,18825,19195,19564,19931,20329,20758,21139,21565,21950,22349,22746,23186,23637,24063,24530,25015,25468,25959,26432,26923,27360,27840,28353,28897,29433,29967,30518,31041,31621,32149,32693,33265,33808,34377,34930,35472,36067,36681,37289,37910,38553,39125,39761,40380,41053,41715,42329,42997,43683,44354,45037,45759,46430,47162,47917,48620,49331,50065,50849,51588,52377,53193,54009,54852,55680,56523,57311,58153,59007,59857,60717,61650,62587,63516,64409,65358,66280,67205,68158,69152,70166,71182,72278,73303,74339,75423,76579,77638,78711,79894,81037,82188,83459,84736,86018,87391,88744,90150,91548,92907,94287,95676,97160,98669,100242,101746,103322,104969,106538,108185,109838,111474,113216,115019,116846,118637,120362,122134,123900,125728,127614,129545,131481,133377,135347,137255,139138,141115,143077,145161,147080,149157,151232,153359,155507,157720,159870,162057,164257,166478,168785,171084,173492,175909,178316,180799,183323,185974,188514,191123,193789,196506,199259,202005,204846,207764,210623,213585,216620,219715,222748,225724,228713,231902,235045,238301,241546,244843,248128,251577,255063,258452,261905,265365,268943,272537,276152,279872,283634,287344,291235,294990,298905,302938,307034,311105,315231,319424,323698,327832,332147,336530,341007,345623,350335,355047,359808,364665,369596,374546,379731,384909,390107,395367,400816,406209,411656,417254,422995,428637,434421,440256,446171,452181,458339,464550,470867,477297,483835,490509,497173,503854,510570,517629,524787,532064,539299,546823,554294,561737,569445,577297,585396,593469,601605,609828,618304,626863,635458,644093,652953,661757,670719,679680,688822,698139,707481,717137,726785,736684,746482,756455,766525,776918,787422,798174,808820,819715,830718,841812,853221,864613,876327,888239,900271,912655,925032,937690,950212,963252,976002,989223,1002625,1016268,1029863,1043965,1057881,1071952,1086333,1100834,1115406,1130227,1145104,1160168,1175233,1190436,1205975,1221822,1237752,1253965,1270219,1286622,1303008,1319470,1335894,1352913,1370088,1387399,1405152,1422956,1440881,1458903,1477088,1495728,1514530,1533381,1552477,1571813
1,1,1,1,2,2,3,3,4,4,5,8,10,11,12,13,15,17,20,24,27,31,35,40,49,54,61,67,71,75,86,91,100,114,121,136,146,155,163,174,185,196,205,212,222,231,249,267,277,290,306,315,333,352,362,378,390,412,440,469,489,517,549,586,616,653,686,722,745,777,806,834,863,886,935,973,1013,1061,1099,1148,1190,1237,1277,1323,1368,1415,1465,1512,1555,1608,1668,1722,1775,1823,1882,1939,2031,2087,2151,2214,2282,2332,2394,2444,2500,2556,2607,2646,2711,2774,2848,2910,2976,3040,3099,3156,3218,3271,3342,3382,3437,3493,3552,3623,3691,3794,3875,3957,4054,4154,4239,4323,4408,4518,4610,4728,4824,4924,5024,5123,5226,5318,5424,5532,5655,5752,5842,5935,6060,6159,6282,6390,6497,6608,6713,6815,6924,7036,7134,7232,7363,7473,7586,7699,7817,7930,8055,8158,8257,8365,8503,8613,8734,8851,8984,9101,9243,9378,9511,9633,9768,9902,10038,10191,10317,10467,10609,10745,10883,11021,11177,11343,11512,11678,11831,12002,12173,12374,12546,12741,12902,13097,13265,13460,13672,13886,14080,14284,14493,14709,14920,15121,15367,15627,15865,16118,16353,16592,16815,17068,17277,17523,17772,17999,18230,18454,18689,18904,19131,19352,19569,19777,20000,20214,20452,20666,20906,21155,21370,21603,21844,22086,22339,22578,22799,23053,23294,23542,23793,24069,24341,24596,24891,25175,25458,25762,26116,26423,26754,27113,27439,27777,28147,28500,28871,29254,29621,29991,30382,30785,31261,31694,32103,32559,33000,33460,33910,34420,34922,35386,35863,36356,36845,37327,37828,38381,38884,39398,39948,40497,41057,41635,42168,42715,43245,43805,44366,44947,45597,46193,46757,47333,47944,48531,49153,49728,50324,50927,51578,52195,52839,53532,54213,54897,55527,56171,56890,57633,58358,59037,59775,60528,61316,62069,62811,63605,64382,65282,66103,66944,67830,68713,69599,70470,71391,72366,73336,74298,75213,76199,77174,78158,79167,80215,81245,82327,83441,84592,85687,86826,87963,89157,90384,91656,92913,94249,95545,96867,98263,99701,101055,102382,103781,105187,106634,108096,109510,111036,112635,114169,115807,117385,119037,120743,122450,124223,125875,127638,129397,131208,132978,134834,136734,138622,140546,142508,144448,146442,148468,150563,152616,154784,156975,159086,161284,163469,165739,168148,170450,172815,175204,177649,180092,182594,185071,187610,190180,192744,195476,198200,200908,203770,206623,209377,212295,215269,218248,221248,224370,227526,230726,233981,237317,240692,244050,247448,250940,254474,258178,261958,265827,269687,273524,277339,281404,285556,289846,294085,298329,302605,307062,311389,315969,320424,325147,329718,334452,339228,344199,349184,354268,359415,364646,369898,375197,380726,386246,391908,397747,403514,409274,415324,421378,427395,433568,439918,446371,452605,459113,465596,472284,479082,485862,492830,499940,507017,514049,521290,528386,535734,543227,550984,558574,566270,574033,582039,590276,598635,606831,615346,623846,632439,641294,650164,659096,668132,677259
1,1,1,1,2,3,7,7,8,9,9,10,13,15,18,20,22,27,30,33,35,43,47,59,68,74,81,89,99,106,113,123,134,144,155,164,174,188,197,209,220,232,240,255,273,281,297,312,326,345,359,369,387,401,431,455,492,514,551,578,612,644,674,711,749,780,821,856,886,928,966,1004,1041,1086,1129,1169,1222,1269,1326,1374,1418,1467,1518,1571,1619,1678,1736,1785,1839,1903,1958,2002,2066,2126,2193,2256,2316,2382,2448,2517,2597,2668,2735,2805,2877,2949,3020,3091,3173,3252,3321,3395,3484,3558,3623,3698,3797,3876,3971,4055,4136,4217,4302,4406,4493,4605,4715,4819,4924,5015,5122,5237,5366,5473,5599,5704,5822,5930,6058,6177,6293,6415,6560,6691,6823,6977,7121,7249,7384,7517,7658,7801,7951,8086,8245,8397,8567,8740,8908,9056,9226,9417,9597,9780,9958,10150,10332,10518,10713,10929,11116,11300,11500,11713,11924,12127,12328,12539,12780,12998,13239,13485,13728,13959,14201,14457,14698,14949,15186,15420,15705,15983,16242,16501,16792,17084,17375,17668,17978,18279,18586,18904,19211,19518,19842,20164,20514,20851,21171,21536,21889,22250,22640,22979,23332,23711,24080,24465,24857,25255,25659,26110,26502,26922,27327,27748,28178,28642,29087,29566,30034,30518,31061,31548,32069,32599,33126,33673,34172,34713,35297,35884,36430,37043,37640,38235,38801,39400,40043,40654,41272,41924,42567,43253,43921,44618,45328,46043,46836,47605,48368,49146,49904,50727,51548,52414,53288,54216,55146,56001,56896,57860,58778,59696,60667,61607,62590,63588,64589,65630,66680,67704,68731,69773,70866,71936,73073,74224,75351,76470,77625,78823,79977,81155,82369,83619,84923,86230,87505,88717,90031,91302,92654,94061,95457,96788,98141,99523,100925,102393,103850,105259,106676,108160,109670,111225,112792,114363,115963,117604,119198,120828,122418,124112,125790,127439,129163,130967,132746,134573,136400,138317,140237,142133,144111,146118,148094,150154,152328,154519,156671,158811,161069,163309,165569,167905,170239,172544,174898,177441,179867,182425,184893,187468,190123,192709,195352,198014,200806,203494,206178,209095,211888,214843,217709,220593,223537,226530,229573,232634,235714,238746,241815,244954,248195,251397,254557,257834,261263,264651,268077,271545,275033,278668,282265,285903,289672,293393,297201,301158,305003,308931,312994,317213,321408,325569,329925,334434,338808,343269,347801,352474,357208,361834,366706,371534,376420,381300,386338,391444,396603,401815,407041,412306,417770,423288,428815,434220,439852,445551,451293,457147,463002,468837,475049,481092,487358,493752,500034,506497,513088,519689,526471,533053,539724,546438,553479,560498,567593,574956,582336,589802,597139,604679,612371,619892,627759,635810,643849,651924,660285,668693,677221,685808,694581,703367,712447,721536,730663,740014,749568,759181,769077,779054,789207,799403,809642,820188,830707,841329,852174,863165,874180,885438,896860,908506,920015,932023,944078,956250,968455,980883,993528,1006235,1019223,1032419,1045621,1059278,1072775,1086262,1100436,1114164,1128426,1142974,1157482,1172422,1187528
1,1,1,1,1,1,1,3,6,6,7,11,11,14,19,24,26,28,31,39,47,54,60,67,76,81,90,104,115,122,130,151,157,167,171,184,189,199,208,217,220,222,227,234,235,241,250,256,265,272,281,286,296,312,323,340,350,366,381,394,400,415,433,438,455,474,492,505,527,550,569,581,597,624,643,666,695,728,752,782,817,853,881,916,954,991,1027,1056,1097,1138,1195,1243,1302,1342,1388,1433,1480,1532,1596,1645,1705,1759,1801,1846,1909,1958,2008,2041,2102,2145,2192,2241,2291,2340,2405,2460,2515,2558,2614,2666,2720,2773,2828,2870,2923,2973,3017,3075,3129,3183,3250,3305,3355,3410,3467,3534,3608,3673,3758,3831,3907,3975,4046,4143,4209,4285,4362,4436,4533,4610,4693,4793,4882,4972,5076,5179,5289,5391,5490,5611,5702,5798,5901,5989,6093,6186,6304,6427,6531,6620,6726,6819,6940,7046,7175,7301,7407,7539,7682,7829,7977,8097,8247,8385,8520,8654,8803,8976,9162,9316,9470,9637,9821,9983,10150,10342,10516,10719,10897,11076,11285,11480,11681,11854,12060,12259,12474,12681,12885,13067,13263,13507,13736,13981,14232,14467,14677,14919,15169,15418,15643,15873,16136,16340,16617,16845,17117,17363,17616,17861,18117,18378,18646,18908,19156,19405,19671,19978,20249,20553,20823,21087,21375,21686,22003,22345,22659,22985,23315,23640,23996,24390,24740,25084,25448,25804,26170,26590,26995,27378,27735,28159,28567,28947,29401,29848,30274,30711,31139,31634,32114,32584,33032,33486,33937,34435,34914,35395,35899,36423,36942,37503,38007,38604,39157,39707,40275,40819,41345,41872,42426,42965,43549,44171,44712,45282,45953,46577,47157,47789,48427,49102,49747,50433,51096,51792,52460,53139,53830,54516,55252,55973,56717,57467,58208,58988,59804,60646,61385,62206,63059,63974,64904,65842,66779,67758,68675,69671,70668,71624,72577,73556,74577,75662,76644,77701,78762,79820,80918,81972,83087,84231,85336,86388,87546,88708,89895,91081,92220,93373,94631,95832,97075,98364,99669,101011,102364,103726,105115,106484,107909,109299,110697,112146,113555,115023,116530,118084,119667,121195,122815,124440,126029,127641,129322,131014,132745,134495,136343,138145,139956,141853,143690,145506,147379,149284,151210,153137,155167,157278,159343,161372,163536,165664,167827,169964,172128,174433,176695,179097,181476,183842,186328,188752,191307,193797,196299,198879,201371,204026,206642,209390,212116,214951,217833,220798,223756,226716,229758,232874,236006,239152,242422,245590,248971,252393,255715,259108,262676,266235,269923,273550,277244,281096,284916,288752,292659,296577,300537,304517,308617,312637,316746,320970,325109,329377,333839,338370,342877,347415,352172,356943,361651,366493,371388,376298,381343,386338,391471,396756,401955,407382,412824,418471,424048,429712,435374,441226,447143,453154,459259,465462,471747,478155,484565,490921,497481,504091,510946,517723,524764,531764,538850,545956,553336,560687,568220,575682,583162,590753,598459,606335,614305,622496,630848,639287,647781
1,1,1,1,5,8,9,10,13,17,21,25,30,34,39,45,52,59,69,72,82,88,99,105,115,128,138,152,170,179,190,205,219,235,245,258,276,290,308,323,342,353,366,385,401,416,429,444,469,485,503,518,539,548,560,578,598,626,647,672,690,704,721,738,755,777,805,835,855,874,891,913,938,960,982,1011,1044,1070,1099,1116,1143,1170,1200,1219,1249,1277,1308,1334,1361,1387,1417,1448,1488,1519,1552,1580,1613,1643,1674,1706,1746,1774,1801,1837,1879,1909,1952,1985,2023,2061,2104,2152,2181,2209,2252,2297,2331,2376,2416,2447,2494,2538,2570,2617,2663,2716,2766,2826,2890,2972,3035,3106,3174,3248,3335,3426,3514,3614,3721,3818,3906,3988,4065,4156,4254,4341,4417,4496,4590,4687,4782,4883,4966,5064,5162,5250,5331,5428,5520,5627,5719,5836,5924,6035,6129,6239,6340,6440,6539,6647,6760,6867,7009,7135,7267,7360,7488,7586,7731,7849,7987,8114,8265,8374,8514,8640,8770,8919,9081,9219,9347,9480,9615,9767,9914,10080,10220,10378,10512,10686,10841,11015,11165,11312,11483,11637,11810,11974,12149,12352,12546,12732,12916,13096,13301,13511,13715,13919,14130,14345,14544,14800,15039,15270,15501,15736,15973,16233,16479,16739,16998,17289,17573,17872,18191,18487,18787,19147,19465,19789,20117,20464,20815,21172,21518,21862,22279,22632,22979,23330,23683,24065,24444,24823,25192,25564,25932,26291,26655,27030,27425,27822,28240,28677,29119,29519,30016,30426,30895,31331,31780,32265,32766,33276,33787,34337,34843,35386,35874,36353,36974,37560,38148,38760,39397,39975,40634,41282,41913,42553,43193,43839,44491,45225,45945,46706,47425,48232,49002,49808,50557,51355,52110,52941,53823,54655,55479,56278,57167,58049,58967,59837,60712,61585,62490,63395,64293,65199,66097,67022,67994,68889,69863,70918,71940,72990,73995,74986,76054,77079,78235,79312,80383,81493,82669,83861,85047,86314,87500,88837,90162,91549,92925,94293,95650,97080,98634,100146,101694,103196,104738,106398,108075,109713,111440,113176,114892,116684,118514,120319,122132,124076,126104,128117,130115,132169,134216,136296,138479,140663,142840,144989,147187,149559,151928,154370,156757,159359,161739,164333,166926,169565,172274,175036,177786,180480,183240,186091,188992,192083,195096,198157,201214,204248,207441,210638,213953,217282,220717,224145,227496,230965,234404,237908,241636,245261,248997,252756,256606,260598,264580,268586,272591,276691,280816,285181,289503,293882,298372,302884,307326,311966,316635,321406,326188,331059,336112,341193,346345,351545,356772,361937,367284,372768,378094,383807,389312,394993,400821,406543,412407,418305,424287,430255,436580,443012,449347,455846,462297,469021,475958,482713,489764,496876,504021,511181,518497,525928,533840,541505,549298,557188,565359,573300,581452,589761,598260,606796,615373,624210,633174,642151,651373,660623,669999,679430,689017,698619,708233,718170,728324,738539,748749,758924,769389,780029,790763,801809,812831,824116,835465,847175,858851,870769,882782,894833,907183
1,1,1,1,1,1,1,2,3,4,5,8,8,12,13,14,16,19,20,24,27,36,42,49,59,63,77,86,92,97,105,119,125,130,140,149,156,169,183,192,201,216,228,243,258,266,287,299,311,328,351,369,384,421,450,479,507,542,575,601,636,670,698,731,752,793,819,862,905,942,978,1010,1032,1061,1100,1136,1173,1206,1241,1279,1320,1350,1393,1440,1491,1524,1569,1600,1645,1688,1740,1788,1854,1913,1972,2033,2102,2154,2202,2274,2337,2399,2453,2520,2588,2653,2717,2778,2840,2899,2961,3005,3066,3126,3199,3277,3334,3388,3449,3502,3562,3616,3679,3737,3781,3839,3903,3964,4033,4115,4200,4276,4364,4455,4533,4626,4735,4832,4925,5025,5122,5209,5320,5444,5569,5692,5825,5946,6071,6220,6365,6504,6629,6781,6951,7090,7240,7411,7559,7707,7852,7998,8170,8342,8491,8659,8833,9021,9195,9355,9529,9739,9908,10070,10254,10423,10593,10794,10997,11197,11400,11590,11808,12013,12227,12439,12628,12844,13066,13289,13525,13783,14053,14303,14574,14862,15129,15420,15699,15977,16281,16582,16885,17185,17495,17790,18098,18400,18708,18992,19302,19621,19946,20290,20586,20927,21218,21476,21783,22111,22412,22724,23053,23311,23609,23912,24231,24531,24865,25167,25483,25814,26158,26470,26813,27157,27504,27863,28210,28572,28924,29312,29702,30083,30469,30860,31293,31724,32190,32599,33056,33527,33957,34423,34871,35288,35713,36145,36560,37030,37470,37907,38333,38778,39219,39700,40144,40646,41133,41570,42031,42488,42984,43449,43904,44368,44865,45425,45949,46472,47036,47546,48090,48606,49205,49730,50298,50929,51573,52175,52789,53436,54014,54658,55323,56008,56663,57301,58007,58699,59386,60033,60739,61446,62190,62893,63626,64344,65128,65889,66640,67419,68200,69028,69828,70679,71515,72357,73214,74065,74937,75810,76724,77641,78545,79441,80320,81257,82217,83158,84076,85021,85962,86921,87891,88837,89781,90736,91672,92681,93715,94776,95835,96816,97835,98869,99918,100953,101962,103020,104098,105211,106382,107568,108771,109964,111194,112492,113741,115038,116328,117643,118961,120313,121695,122945,124354,125739,127179,128627,130105,131614,133128,134620,136125,137669,139278,140904,142559,144212,145852,147514,149237,150979,152755,154504,156229,158002,159756,161559,163434,165341,167131,168953,170789,172686,174630,176645,178622,180595,182599,184700,186806,188830,190898,193147,195334,197554,199705,201933,204242,206657,209000,211506,214035,216524,219039,221514,224100,226736,229358,231971,234705,237460,240245,243053,245893,248784,251660,254694,257752,260772,263779,266957,270057,273315,276491,279807,283162,286625,290185,293716,297460,301230,304929,308810,312643,316709,320765,324736,328821,332899,337160,341496,345873,350361,354867,359274,363889,368508,373336,378218,383064,388012,393069,398226,403330,408578,413837,419149,424635,430143,435597,441239,447019,452751,458656,464566,470498,476416,482631,488901,495123,501477,507909,514400,520872,527540,534284,541272,548094,555001,562126,569363,576687,584047,591546
1,1,4,6,6,9,14,16,21,24,31,35,41,54,63,69,76,86,103,110,115,121,129,139,152,165,180,186,200,208,213,219,226,234,253,266,276,286,298,308,319,336,357,373,400,416,433,463,488,518,536,569,590,630,667,702,730,770,821,857,898,937,980,1018,1063,1099,1136,1174,1215,1257,1293,1327,1372,1411,1448,1492,1523,1559,1595,1620,1658,1697,1744,1784,1831,1877,1913,1951,2000,2035,2083,2126,2166,2208,2257,2300,2333,2378,2427,2476,2525,2581,2639,2695,2751,2809,2867,2926,2982,3047,3103,3161,3237,3296,3366,3432,3504,3579,3650,3720,3791,3865,3946,4028,4120,4198,4284,4372,4460,4553,4669,4776,4905,4996,5117,5236,5350,5491,5620,5740,5853,5979,6120,6246,6388,6527,6671,6832,6968,7117,7252,7401,7573,7730,7919,8100,8273,8462,8646,8839,9040,9245,9457,9684,9903,10129,10353,10603,10832,11087,11319,11585,11851,12096,12370,12632,12860,13128,13393,13650,13903,14179,14436,14702,14982,15273,15535,15808,16085,16380,16675,16968,17265,17561,17869,18193,18512,18834,19178,19520,19857,20185,20545,20918,21290,21658,22043,22445,22888,23269,23668,24063,24484,24873,25329,25803,26261,26689,27147,27571,28042,28489,28932,29396,29891,30403,30916,31417,31914,32442,32955,33460,34020,34582,35136,35688,36225,36763,37343,37926,38515,39126,39711,40313,40914,41550,42199,42841,43447,44138,44773,45410,46030,46679,47359,48028,48748,49467,50178,50866,51588,52295,53066,53897,54621,55397,56181,56963,57801,58600,59478,60362,61270,62234,63174,64122,65093,66044,66977,68009,68984,70029,71088,72219,73323,74503,75680,76851,78060,79241,80400,81678,82935,84272,85640,87026,88430,89801,91180,92600,94068,95565,97125,98718,100288,101988,103528,105206,106813,108439,110144,111824,113511,115265,117057,118865,120663,122512,124379,126237,128132,130017,131932,133878,135898,137958,140016,142096,144244,146323,148548,150763,152978,155340,157693,160014,162384,164787,167259,169768,172328,174901,177552,180182,182914,185673,188463,191227,194047,196793,199665,202637,205580,208613,211687,214824,218108,221214,224546,227807,231042,234381,237780,241344,244808,248298,252045,255723,259331,263098,266957,270780,274666,278597,282613,286776,290959,295340,299729,304021,308496,312944,317409,322022,326618,331290,336103,340848,345651,350585,355526,360451,365386,370419,375542,380793,386193,391540,397001,402439,408106,413746,419484,425309,431120,437098,443208,449410,455691,462035,468465,474923,481637,488298,495051,501786,508616,515504,522634,529756,537166,544587,552049,559551,567075,574848,582599,590548,598563,606747,614918,623381,631973,640615,649305,658157,666967,676022,685248,694588,704052,713647,723305,733273,743307,753531,763795,774177,784812,795427,806390,817233,828093,839134,850420,862134,873756,885506,897510,909532,921628,933650,945971,958615,971527,984620,997860,1010869,1024328,1037860,1051671,1065619,1079701,1093691,1108090,1122574,1137435,1152108,1167291,1182466,1197736,1213046,1228764,1244486,1260538,1276619,1292976,1309582,1326343,1342863,1360002,1376976,1394216,1411693,1429649,1447240,1465180
1,1,1,1,1,4,6,8,10,10,13,14,16,19,24,27,33,37,40,40,46,52,58,60,69,71,80,95,98,105,108,116,124,133,147,154,160,165,177,186,189,198,204,210,216,225,233,242,247,257,268,271,277,281,287,302,308,318,326,336,345,353,365,373,385,403,422,440,470,492,511,533,546,568,610,649,682,715,747,785,819,852,895,919,952,1004,1056,1118,1179,1226,1281,1354,1423,1492,1562,1629,1707,1760,1827,1903,1991,2057,2136,2210,2281,2357,2426,2496,2562,2639,2726,2806,2898,2991,3095,3183,3267,3353,3432,3522,3611,3701,3787,3875,3968,4046,4145,4250,4332,4430,4526,4624,4733,4841,4931,5028,5149,5269,5395,5491,5613,5709,5833,5966,6106,6227,6332,6476,6596,6722,6852,6984,7113,7247,7363,7504,7645,7777,7926,8045,8179,8314,8458,8613,8747,8900,9034,9179,9331,9459,9620,9744,9906,10058,10228,10391,10538,10715,10870,11038,11189,11369,11525,11690,11844,12002,12206,12392,12577,12785,12964,13124,13306,13489,13673,13869,14051,14247,14432,14592,14777,14975,15196,15377,15543,15745,15931,16118,16322,16531,16734,16966,17176,17413,17628,17873,18102,18303,18528,18747,19005,19249,19472,19720,19968,20200,20448,20690,20923,21159,21383,21636,21886,22105,22372,22608,22856,23130,23379,23616,23880,24162,24419,24698,24999,25295,25608,25906,26207,26495,26787,27084,27403,27711,28002,28329,28637,28983,29287,29599,29898,30197,30538,30879,31193,31527,31887,32247,32584,32939,33299,33659,34012,34381,34758,35131,35551,35913,36330,36754,37166,37553,37971,38382,38825,39240,39725,40191,40647,41105,41593,42061,42526,43009,43516,44014,44539,45037,45538,46022,46494,47000,47526,48069,48587,49102,49596,50115,50642,51209,51773,52362,52919,53541,54211,54822,55445,56058,56665,57334,58022,58688,59360,60034,60731,61473,62167,62868,63582,64372,65142,65894,66661,67473,68250,69093,69921,70730,71641,72486,73393,74317,75198,76117,77061,77971,78916,79820,80732,81802,82789,83830,84924,86026,87162,88276,89490,90714,91906,93132,94396,95676,96955,98292,99608,100949,102318,103681,105110,106506,107903,109509,110996,112467,114067,115697,117266,118938,120585,122296,123995,125756,127472,129202,131034,132812,134627,136332,138180,139936,141752,143605,145571,147456,149402,151301,153234,155187,157254,159225,161243,163286,165432,167511,169690,171767,173937,176117,178375,180686,183093,185433,187819,190225,192599,195051,197537,200103,202650,205259,207919,210620,213431,216223,219029,221917,224772,227773,230639,233695,236853,239934,243062,246270,249396,252661,256007,259327,262772,266201,269759,273358,276944,280545,284194,287887,291602,295248,299062,302934,306838,310744,314725,318822,322866,327020,331132,335470,339782,344100,348402,352798,357373,361885,366394,371204,376031,380822,385569,390540,395463,400522,405691,410903,416242,421671,427035,432495,438086,443652,449366,455170,461128,467027,473030,479240,485460,491761,498190,504689,511300,518266,525113,532136,539162,546362,553590
1,1,1,1,1,1,4,6,7,8,9,11,15,17,19,19,22,26,30,33,35,39,39,44,49,52,57,66,70,77,87,91,99,109,111,116,120,127,137,148,155,170,179,189,200,214,221,234,246,254,263,277,292,304,323,337,353,371,389,404,423,449,471,502,526,552,576,605,638,683,726,754,785,816,857,888,938,971,1004,1038,1088,1136,1182,1235,1295,1355,1407,1456,1495,1550,1609,1661,1712,1768,1816,1865,1911,1965,2018,2084,2153,2211,2273,2347,2395,2448,2507,2559,2626,2695,2752,2823,2888,2941,2994,3058,3103,3167,3236,3308,3376,3449,3504,3557,3608,3669,3732,3784,3843,3920,3981,4036,4100,4145,4212,4256,4313,4382,4442,4511,4571,4637,4699,4758,4820,4872,4940,5011,5084,5166,5238,5323,5402,5477,5555,5639,5722,5800,5872,5950,6031,6119,6209,6299,6389,6486,6579,6679,6767,6840,6931,7007,7106,7203,7293,7376,7467,7549,7628,7706,7775,7858,7941,8027,8116,8205,8290,8383,8483,8565,8647,8718,8813,8904,9005,9091,9186,9275,9382,9475,9584,9718,9833,9974,10113,10251,10380,10513,10668,10814,10977,11136,11299,11487,11677,11847,12015,12183,12385,12584,12781,12993,13216,13430,13626,13834,14070,14297,14510,14747,14972,15204,15438,15684,15930,16181,16465,16712,16961,17215,17470,17735,17998,18280,18564,18845,19124,19381,19665,19913,20197,20463,20713,20991,21268,21554,21824,22118,22389,22705,23005,23302,23610,23926,24253,24577,24941,25326,25689,26039,26400,26749,27125,27487,27829,28247,28630,29035,29437,29857,30237,30681,31090,31513,31966,32430,32898,33315,33776,34285,34736,35212,35681,36222,36714,37260,37761,38278,38801,39318,39901,40478,41051,41651,42240,42854,43528,44144,44774,45417,46092,46794,47499,48220,48959,49700,50435,51195,51934,52767,53586,54375,55203,56051,56850,57654,58483,59320,60118,60997,61905,62767,63675,64612,65634,66545,67538,68464,69417,70402,71366,72358,73424,74448,75505,76562,77559,78704,79865,80986,82249,83390,84611,85919,87109,88382,89676,90907,92182,93466,94865,96232,97597,99000,100477,101913,103376,104874,106369,107954,109504,111098,112723,114394,116144,117846,119638,121394,123157,125093,126887,128793,130690,132634,134607,136654,138705,140748,142770,144939,147086,149231,151518,153876,156255,158539,160904,163290,165654,168033,170496,173035,175677,178266,180907,183659,186351,189013,191723,194528,197213,200136,203066,206013,208875,211824,214848,217825,220908,224002,227125,230297,233607,236880,240181,243609,247023,250335,253864,257413,261091,264767,268483,272159,275911,279802,283698,287736,291846,296014,300122,304252,308519,312876,317350,321956,326430,331101,335746,340538,345341,350198,355117,360129,365167,370118,375364,380517,385831,391155,396504,402078,407685,413261,419151,424977,430931,436850,442956,449064,455347,461679,467910,474425,481077,487841,494647,501631,508591,515721,523011,530433,537794,545250,552705,560368,568073,575757,583930,591920,600246,608399,616586,625011,633793,642443,651365
1,1,1,1,1,1,1,1,2,2,3,4,6,8,10,11,12,12,12,14,14,19,23,30,38,40,45,54,56,57,59,59,62,70,83,93,106,121,132,145,157,167,176,187,201,210,231,250,277,298,316,335,352,372,394,425,441,468,490,520,546,582,601,624,661,680,714,742,771,801,825,860,904,938,959,986,1024,1064,1102,1132,1157,1192,1229,1269,1310,1342,1383,1423,1464,1503,1557,1610,1662,1705,1751,1800,1854,1902,1946,2000,2044,2101,2160,2234,2286,2334,2392,2446,2498,2557,2612,2677,2740,2810,2873,2941,3014,3092,3156,3231,3301,3376,3464,3541,3617,3709,3799,3897,3991,4080,4183,4262,4357,4451,4530,4618,4702,4790,4873,4965,5059,5143,5223,5321,5410,5488,5574,5648,5720,5813,5925,6031,6136,6230,6347,6462,6580,6715,6820,6949,7071,7199,7331,7465,7598,7740,7881,8039,8198,8383,8536,8682,8822,8975,9136,9289,9443,9616,9772,9932,10125,10307,10491,10671,10865,11028,11179,11328,11511,11671,11851,12049,12222,12410,12636,12828,13051,13263,13468,13692,13918,14134,14344,14561,14785,15012,15221,15452,15683,15921,16144,16394,16624,16877,17134,17371,17643,17927,18181,18461,18744,19026,19296,19581,19878,20198,20491,20821,21134,21464,21815,22122,22470,22780,23146,23507,23894,24251,24624,25024,25424,25796,26214,26621,27078,27534,27984,28461,28946,29380,29824,30294,30777,31314,31818,32343,32876,33437,33968,34553,35118,35700,36329,36876,37495,38150,38841,39457,40105,40736,41390,42069,42709,43405,44108,44818,45563,46261,47047,47782,48492,49264,50000,50759,51488,52215,53005,53850,54688,55550,56428,57326,58243,59178,60120,61151,62140,63191,64214,65288,66313,67364,68424,69540,70653,71883,73071,74284,75466,76717,77993,79237,80502,81759,83105,84415,85685,86961,88319,89721,91138,92505,93863,95215,96661,98126,99651,101121,102580,104125,105741,107425,109125,110839,112684,114440,116234,118018,119984,121844,123714,125694,127685,129686,131673,133694,135823,137961,140107,142313,144531,146705,149003,151312,153717,156098,158555,161009,163548,166108,168659,171246,173949,176697,179419,182319,185217,188077,190980,194021,197045,200127,203295,206433,209686,212856,216031,219299,222638,226004,229415,232836,236240,239702,243279,246833,250564,254218,257919,261613,265414,269374,273344,277333,281346,285525,289570,293837,298017,302381,306806,311196,315620,320275,325008,329812,334645,339681,344640,349845,355146,360386,365852,371324,376772,382291,388006,393687,399404,405223,411213,417229,423379,429537,435717,441895,448242,454552,460924,467384,474130,480739,487621,494450,501409,508497,515712,523007,530496,538029,545536,553277,561352,569394,577554,585901,594407,602790,611410,620283,629348,638252,647277,656672,666002,675442,685052,694771,704713,714706,724749,734976,745296,755719,766108,776711,787376,798257,809135,820117,831250,842738,854069,865471,877079,888778,900708,912830,925204,937472,949998,962450,975136,988117,1001358,1014652,1028010,1041788,1055582,1069614,1083688,1098095,1112449,1127056,1141719,1156560,1171795
1,1,1,1,2,2,2,3,4,4,6,8,9,9,9,9,9,9,9,10,13,18,19,22,25,29,35,37,41,49,54,58,62,65,71,76,83,98,108,114,123,132,144,157,172,185,191,200,208,222,235,246,254,267,284,301,316,330,353,366,390,408,426,443,463,481,503,527,551,582,621,648,684,708,742,772,804,835,866,905,946,989,1018,1057,1106,1148,1183,1239,1281,1324,1373,1417,1471,1536,1581,1635,1685,1735,1780,1827,1886,1938,1991,2039,2090,2142,2211,2262,2330,2377,2438,2496,2556,2634,2718,2791,2863,2936,3026,3097,3171,3239,3331,3434,3523,3620,3725,3831,3932,4029,4128,4238,4356,4487,4589,4713,4834,4968,5100,5227,5378,5523,5686,5852,6009,6177,6364,6547,6689,6852,7041,7213,7382,7552,7734,7896,8091,8266,8427,8626,8816,9011,9197,9420,9624,9837,10061,10284,10513,10755,10990,11228,11482,11759,12056,12375,12673,12942,13267,13595,13916,14247,14577,14948,15261,15569,15902,16246,16618,16994,17367,17791,18153,18544,18934,19374,19794,20226,20661,21106,21558,21976,22425,22899,23349,23810,24306,24798,25297,25795,26286,26839,27339,27831,28351,28834,29343,29866,30382,30901,31444,32021,32573,33139,33725,34298,34925,35560,36187,36827,37488,38171,38835,39500,40202,40880,41600,42367,43091,43849,44607,45414,46299,47152,48009,48853,49762,50673,51569,52458,53358,54275,55212,56114,57048,57941,58864,59769,60760,61700,62693,63654,64700,65686,66687,67684,68705,69688,70734,71836,72905,74036,75155,76299,77543,78782,79919,81128,82357,83639,84845,86100,87385,88712,90124,91452,92860,94298,95761,97206,98610,100104,101569,103089,104625,106058,107689,109329,110918,112517,114158,115827,117530,119213,120968,122735,124507,126319,128226,130136,132035,133925,135879,137882,139877,141859,143946,146055,148162,150280,152370,154540,156739,158953,161251,163472,165792,168111,170407,172735,175121,177512,179955,182420,184941,187464,190055,192744,195520,198332,201150,203936,206627,209493,212448,215324,218298,221380,224476,227649,230769,234080,237398,240784,244230,247734,251329,254878,258437,262176,265916,269770,273618,277471,281378,285415,289350,293386,297383,301599,305764,310020,314316,318556,322943,327492,331852,336380,340951,345648,350295,354987,359783,364530,369516,374576,379607,384655,389771,394982,400387,405780,411264,416937,422629,428332,434067,439848,446001,452093,458376,464828,471205,477662,484325,491025,497948,504992,511929,519107,526337,533629,541005,548390,555909,563562,571302,579079,587180,595196,603192,611480,619726,628202,636544,645166,653612,662289,671016,680063,689134,698423,707748,717265,726762,736300,746084,755996,766074,776195,786583,797114,807870,818517,829170,839959,850935,862303,873604,885071,896840,908621,920377,932254,944345,956535,968761,981576,994306,1007095,1019922,1032929,1046045,1059322,1072626,1086299,1100119,1114204,1128326,1142390,1156769,1171243,1185863,1200519,1215394,1230692,1245905,1261301,1276844,1292602,1308402,1324776,1340999,1357696,1373944,1390626,1407621,1424848,1442048,1459517,1476925,1494786,1512544,1530565,1549129,1567670,1586356
1,1,1,2,4,6,7,11,11,12,12,13,17,25,33,42,43,50,53,58,62,74,81,90,97,102,106,112,124,137,150,161,172,184,192,204,219,232,244,253,263,288,308,334,357,376,402,419,442,473,508,530,550,578,605,644,684,722,752,785,822,864,904,936,975,1024,1073,1108,1171,1226,1263,1329,1386,1450,1501,1557,1619,1676,1740,1801,1862,1912,1974,2055,2112,2170,2231,2282,2333,2397,2458,2525,2594,2650,2719,2781,2864,2932,2991,3064,3130,3190,3252,3317,3387,3444,3517,3585,3660,3740,3813,3895,3972,4054,4153,4231,4326,4399,4492,4583,4667,4747,4833,4928,5018,5121,5200,5292,5393,5484,5588,5722,5842,5958,6061,6159,6255,6375,6480,6591,6726,6845,6956,7064,7167,7268,7394,7489,7605,7737,7869,7978,8095,8232,8379,8469,8602,8707,8822,8967,9085,9226,9366,9486,9611,9757,9916,10071,10225,10393,10540,10721,10878,11057,11256,11447,11624,11792,11986,12171,12334,12529,12709,12877,13102,13293,13494,13681,13890,14095,14303,14527,14727,14921,15163,15370,15562,15781,16020,16235,16481,16715,16945,17170,17406,17669,17935,18174,18436,18686,18945,19230,19502,19787,20076,20366,20648,20919,21186,21458,21736,21996,22289,22587,22837,23134,23416,23715,23978,24248,24531,24802,25071,25317,25596,25887,26158,26450,26741,27066,27384,27663,27972,28288,28601,28898,29201,29505,29821,30122,30427,30791,31111,31449,31761,32126,32445,32791,33136,33460,33815,34211,34591,34989,35380,35779,36133,36525,36913,37317,37719,38184,38605,39030,39439,39855,40344,40817,41300,41790,42260,42770,43303,43839,44400,44988,45542,46114,46678,47287,47899,48529,49165,49823,50451,51162,51841,52548,53277,54037,54782,55538,56334,57163,58013,58882,59790,60753,61644,62606,63508,64477,65467,66455,67479,68606,69721,70868,71955,73113,74297,75522,76777,78072,79379,80698,81959,83239,84621,85959,87377,88755,90196,91632,93086,94604,96188,97773,99315,100968,102589,104291,105921,107701,109427,111223,113055,114904,116836,118705,120601,122594,124619,126604,128655,130758,132857,135074,137214,139393,141647,143861,146212,148519,150946,153396,155793,158313,160749,163280,165808,168386,171067,173769,176457,179228,181954,184766,187628,190578,193621,196599,199627,202759,205857,208943,212077,215227,218371,221565,224966,228386,231717,235054,238543,242028,245616,249328,252968,256848,260823,264603,268554,272601,276807,281018,285320,289693,294180,298629,303304,307914,312628,317410,322207,327094,332016,337136,342392,347676,352976,358387,363925,369620,375324,381109,386965,392841,398951,404996,411095,417516,423940,430110,436682,443161,449788,456633,463339,470244,477170,484391,491514,498818,506386,513885,521470,529107,537072,544994,552916,561039,569306,577580,586270,594964,603484,612392,621269,630375,639586,648796,658286,667874,677670,687372,697332,707381,717490,727784,738168,748511,759173,769834,780768,791632,802611,813810,825201,836870,848413,860123,871754,883748,895645,907580,919743,932128,944541,957171,969792,982577,995380,1008598,1021789,1034998,1048445
1,1,1,1,1,2,5,7,9,10,13,14,17,25,28,39,48,53,60,68,75,88,92,102,115,123,134,152,162,171,188,203,213,222,235,248,259,267,278,299,312,327,340,354,370,387,406,424,450,469,493,513,540,569,595,611,643,668,705,729,760,803,838,867,908,938,973,1014,1044,1085,1118,1156,1195,1227,1257,1299,1340,1388,1439,1481,1521,1566,1604,1644,1687,1733,1775,1825,1877,1926,1992,2055,2120,2181,2257,2323,2395,2472,2541,2629,2704,2794,2899,2992,3089,3188,3288,3399,3510,3598,3690,3765,3861,3954,4050,4152,4258,4352,4444,4545,4641,4733,4814,4897,4992,5082,5172,5257,5337,5439,5528,5626,5716,5787,5899,5999,6090,6172,6258,6349,6423,6503,6586,6671,6754,6828,6911,6992,7079,7158,7231,7328,7434,7520,7593,7666,7775,7878,7973,8080,8185,8279,8381,8470,8582,8725,8848,8969,9089,9232,9377,9515,9669,9838,10007,10179,10363,10547,10738,10930,11115,11306,11495,11701,11892,12106,12334,12547,12736,12956,13209,13461,13695,13934,14177,14420,14682,14934,15189,15437,15683,15934,16198,16421,16680,16950,17187,17485,17737,18015,18307,18618,18937,19200,19493,19771,20054,20338,20625,20944,21256,21545,21858,22168,22498,22828,23128,23450,23793,24128,24455,24791,25118,25458,25801,26133,26472,26855,27213,27601,27979,28373,28768,29179,29572,30033,30465,30908,31333,31756,32180,32598,33043,33494,33931,34382,34870,35346,35794,36231,36699,37161,37609,38069,38514,38987,39490,39976,40454,40926,41414,41893,42387,42866,43384,43931,44423,44986,45529,46087,46661,47232,47783,48334,48964,49556,50153,50743,51372,51990,52618,53267,53977,54647,55274,55955,56677,57442,58178,58908,59613,60370,61174,61886,62612,63361,64136,64994,65760,66555,67346,68139,69014,69758,70569,71403,72214,73056,73928,74851,75731,76565,77447,78360,79281,80195,81103,82064,83002,83993,85058,86057,87013,88034,89110,90241,91292,92341,93499,94584,95796,97001,98274,99484,100729,101953,103264,104564,105909,107241,108528,109908,111296,112729,114182,115642,117025,118405,119866,121325,122776,124353,125971,127554,129133,130766,132528,134235,135972,137767,139525,141248,143100,144913,146669,148557,150369,152312,154322,156315,158317,160283,162276,164288,166411,168619,170857,173105,175403,177688,180011,182339,184612,187056,189494,192025,194484,197065,199640,202217,204955,207652,210412,213205,216026,218858,221811,224800,227800,230861,234044,237248,240545,243825,247031,250286,253675,257128,260653,264213,267768,271329,274990,278694,282402,286228,290191,294091,298025,302063,306183,310179,314278,318552,322954,327274,331593,335984,340281,344756,349266,353876,358513,363259,368049,372922,377826,382767,387771,392818,397836,403084,408296,413663,419124,424746,430315,436069,441890,447763,453658,459620,465609,471704,477805,484037,490428,497004,503716,510487,517198,524157,531012,537898,544955,552070,559337,566763,574107,581625,589093,596766,604314,612030,619850,627753,635755,643917,652197,660685,669160,677912,686700,695635,704430,713350,722537
1,1,3,5,7,10,16,19,24,30,38,41,47,56,60,70,85,95,99,111,126,139,146,155,159,169,177,183,191,196,206,212,220,227,237,244,251,260,265,271,274,283,291,300,311,323,332,345,353,365,381,396,404,417,429,440,460,472,484,498,516,534,545,574,583,609,640,661,687,717,740,771,797,821,847,867,901,934,960,1002,1036,1070,1105,1146,1178,1220,1256,1293,1333,1373,1418,1454,1503,1562,1601,1640,1674,1705,1746,1796,1834,1869,1912,1963,2003,2046,2083,2127,2174,2211,2253,2286,2329,2375,2423,2465,2500,2536,2579,2621,2670,2705,2755,2814,2858,2899,2943,3006,3067,3114,3161,3206,3253,3298,3348,3424,3502,3570,3635,3709,3785,3855,3923,4002,4087,4172,4267,4348,4445,4554,4661,4777,4868,4966,5084,5191,5304,5419,5554,5683,5814,5927,6053,6180,6298,6450,6559,6670,6818,6958,7082,7226,7369,7482,7631,7770,7922,8071,8205,8379,8535,8684,8844,9032,9203,9383,9564,9778,9996,10215,10426,10632,10851,11106,11337,11591,11817,12067,12318,12559,12790,13034,13296,13546,13794,14090,14363,14659,14905,15182,15441,15730,16022,16306,16601,16907,17218,17488,17782,18078,18421,18740,19060,19360,19698,20030,20394,20700,21027,21372,21747,22133,22499,22871,23269,23657,24032,24438,24820,25226,25662,26062,26501,26928,27349,27736,28176,28590,29042,29478,29921,30337,30840,31263,31694,32157,32642,33094,33553,34038,34523,35039,35534,36051,36535,37021,37495,37977,38484,38992,39492,40070,40678,41251,41788,42346,42926,43489,44058,44651,45274,45919,46555,47169,47822,48420,49082,49721,50406,51013,51716,52400,53049,53754,54469,55205,55952,56690,57387,58095,58808,59613,60408,61113,61844,62618,63399,64173,64968,65739,66532,67323,68158,68960,69810,70718,71602,72512,73421,74388,75301,76259,77197,78165,79076,80018,81063,82120,83187,84269,85346,86421,87576,88713,89893,91113,92330,93613,94961,96179,97475,98792,100153,101553,102911,104316,105710,107102,108572,110030,111451,112889,114450,115957,117584,119168,120801,122366,124006,125635,127323,129008,130732,132545,134318,136106,137877,139725,141620,143559,145578,147453,149446,151413,153363,155433,157468,159476,161607,163736,165882,168068,170343,172605,174916,177311,179702,182107,184552,187119,189586,192270,194830,197521,200275,203053,205748,208517,211438,214347,217271,220209,223230,226320,229327,232448,235562,238724,241966,245183,248413,251649,254928,258231,261609,265010,268400,271948,275478,279128,282989,286752,290497,294449,298415,302354,306388,310660,314906,319191,323636,327958,332417,336922,341473,346058,350807,355689,360519,365472,370514,375682,380825,386098,391194,396455,401787,407191,412647,418155,423821,429399,435168,441079,446933,452849,458873,464968,471096,477264,483464,489843,496316,502877,509507,516156,523163,529975,536961,544011,551060,558306,565662,573309,580963,588535,596313,604112,611944,620101,628359,636602,645116,653868,662427,671267,680189,689056,698138,707435,716648,726093,735333,744750,754423,764178,774082
1,1,1,1,2,2,4,6,8,8,10,10,10,10,10,12,19,24,30,36,43,49,58,65,75,81,87,96,107,109,119,131,141,157,165,176,182,190,199,207,217,227,237,245,251,257,261,274,282,291,302,317,331,337,346,358,375,385,392,404,427,439,452,462,480,498,510,526,551,569,591,610,631,643,662,689,715,749,785,811,845,880,920,959,1002,1051,1089,1131,1170,1219,1261,1308,1355,1399,1440,1499,1554,1595,1638,1686,1744,1785,1837,1887,1939,1981,2044,2097,2147,2193,2247,2308,2368,2422,2474,2527,2568,2636,2704,2762,2819,2886,2947,3008,3075,3154,3217,3296,3369,3418,3487,3534,3595,3675,3753,3823,3900,3965,4045,4115,4199,4273,4353,4433,4521,4623,4718,4806,4897,4981,5066,5171,5263,5370,5467,5568,5670,5773,5893,6007,6116,6235,6353,6463,6584,6722,6858,6980,7099,7242,7389,7532,7669,7827,7966,8099,8257,8411,8564,8747,8925,9098,9250,9412,9547,9719,9890,10067,10252,10427,10615,10817,11021,11226,11413,11620,11836,12044,12275,12512,12771,13018,13241,13476,13740,14002,14292,14563,14838,15124,15400,15699,16021,16327,16678,17025,17338,17661,18008,18350,18732,19100,19500,19876,20256,20709,21124,21606,22068,22506,22957,23398,23850,24314,24804,25326,25852,26433,26981,27601,28164,28747,29331,29926,30581,31211,31812,32459,33131,33743,34395,35022,35637,36344,37085,37827,38562,39303,40021,40808,41538,42291,43009,43820,44627,45475,46321,47134,47977,48857,49780,50632,51511,52452,53409,54295,55253,56241,57250,58263,59289,60319,61276,62329,63343,64568,65693,66832,67997,69209,70443,71752,73063,74348,75661,77016,78361,79770,81173,82670,84138,85635,87074,88671,90289,91891,93575,95210,96906,98634,100369,102102,103862,105622,107526,109447,111359,113330,115307,117309,119309,121329,123400,125494,127616,129817,132035,134213,136482,138788,141118,143457,145834,148313,150792,153425,156010,158693,161384,164038,166795,169444,172270,175135,177998,181026,184052,187198,190286,193582,196849,200136,203445,206980,210384,213900,217402,220908,224490,228260,232062,235824,239675,243587,247488,251449,255378,259417,263667,268011,272158,276454,280721,285177,289502,294007,298403,303078,307750,312514,317281,322118,327035,332169,337331,342674,347862,353273,358556,364139,369733,375447,381176,387023,392991,398838,404926,411025,417273,423373,429649,436064,442646,449327,455989,462619,469312,476169,483240,490193,497317,504503,511463,518755,526058,533608,541093,548703,556307,564119,571986,579928,588018,596280,604685,613017,621480,629860,638447,647172,656158,665101,674123,683419,692751,702340,711815,721438,731283,741294,751576,761744,771941,782225,792887,803512,814213,825144,836148,847349,858591,870079,881523,893383,905033,917029,929240,941652,954019,966433,979112,991863,1004890,1017837,1031078,1044295,1057612,1071292,1085008,1099118,1113151,1127208,1141409,1155827,1170231,1185033,1199882,1214734,1229977,1245152,1260914,1276721,1292663,1308790,1325218,1341620,1358423,1375377,1392268,1409578,1426961,1444530,1462318,1480634,1498847,1517526,1536471
1,1,1,2,5,6,8,10,11,12,12,12,15,16,18,21,22,23,24,27,29,30,38,41,53,58,68,76,82,88,94,101,111,121,135,143,154,167,174,181,194,202,215,227,235,245,250,258,264,274,286,300,311,319,328,340,357,373,392,402,428,451,471,491,517,543,563,585,611,640,680,729,778,815,857,895,928,965,999,1035,1072,1111,1143,1202,1252,1304,1349,1388,1427,1477,1522,1569,1615,1661,1698,1739,1794,1848,1916,1984,2042,2098,2153,2217,2272,2334,2395,2462,2523,2604,2673,2756,2854,2950,3040,3130,3217,3321,3418,3529,3651,3762,3867,3981,4073,4172,4275,4377,4481,4581,4683,4792,4911,5050,5165,5312,5447,5569,5701,5845,5977,6131,6249,6385,6524,6684,6824,6977,7115,7270,7448,7624,7781,7974,8167,8372,8562,8760,8965,9154,9359,9584,9773,10006,10248,10474,10700,10936,11154,11383,11611,11849,12079,12328,12580,12825,13063,13305,13547,13775,14027,14268,14526,14753,15036,15303,15575,15864,16159,16489,16774,17092,17382,17714,18026,18320,18672,19002,19316,19673,20008,20363,20722,21083,21429,21778,22158,22531,22916,23298,23722,24085,24500,24915,25326,25757,26213,26666,27106,27564,28028,28472,28980,29420,29914,30386,30880,31370,31880,32387,32920,33459,33963,34531,35070,35601,36157,36742,37277,37822,38418,39009,39618,40205,40796,41398,42045,42614,43228,43898,44529,45190,45857,46493,47149,47806,48465,49114,49727,50425,51114,51787,52500,53220,53942,54691,55438,56167,56983,57773,58561,59306,60081,60886,61714,62572,63422,64238,65144,66010,66854,67747,68659,69606,70583,71460,72399,73339,74321,75295,76270,77222,78320,79357,80405,81449,82486,83600,84699,85795,87002,88151,89241,90411,91597,92834,94060,95319,96663,97957,99291,100587,101938,103335,104730,106170,107571,109023,110516,112039,113575,115132,116755,118382,120000,121723,123412,125201,126981,128842,130630,132449,134320,136256,138189,140079,142038,144097,146052,148114,150186,152278,154395,156484,158683,160853,163100,165314,167628,169888,172201,174513,176911,179309,181741,184241,186775,189442,192037,194728,197351,200129,202999,205797,208679,211519,214459,217418,220419,223367,226455,229522,232584,235789,239006,242209,245516,248821,252220,255727,259026,262490,265962,269565,273196,276854,280465,284158,287973,291826,295815,299689,303595,307686,311753,315789,319906,324084,328379,332650,337057,341393,345861,350386,354926,359506,364112,368836,373669,378613,383528,388541,393530,398680,403980,409122,414439,419806,425383,430883,436633,442347,448269,454115,460202,466283,472397,478795,485205,491591,498030,504570,511380,518268,525141,532020,539039,546240,553524,560878,568255,575757,583298,591153,599014,606921,614882,623019,631220,639466,647784,656119,664754,673179,681846,690723,699457,708526,717603,726669,736153,745628,755213,764828,774489,784488,794504,804706,814896,825344,835544,845995,856842,867684,878721,889771,900925,912117,923569,935294,947156,959144,971213,983483,995650,1008294,1020798,1033643,1046263,1059278,1072455,1085915,1099617,1113482,1127381,1141714,1155714
1,1,3,4,5,7,9,9,10,10,13,13,18,23,26,32,38,47,50,53,65,74,83,91,102,109,117,127,138,147,158,167,175,185,195,201,215,226,229,236,246,254,263,266,274,284,288,292,298,310,318,322,325,338,343,350,352,356,366,374,382,393,406,418,435,446,459,471,488,502,520,542,563,594,618,633,653,678,707,742,774,804,832,851,872,892,910,932,958,979,1003,1019,1039,1062,1084,1106,1128,1153,1171,1202,1221,1238,1252,1274,1299,1322,1350,1375,1400,1427,1452,1472,1494,1516,1548,1581,1607,1634,1667,1705,1742,1775,1813,1858,1889,1930,1971,2034,2074,2123,2160,2221,2278,2343,2389,2444,2496,2555,2623,2679,2744,2808,2861,2917,2981,3043,3112,3173,3229,3299,3366,3439,3520,3597,3668,3755,3826,3902,3966,4047,4111,4179,4255,4328,4392,4462,4517,4595,4668,4739,4811,4894,4966,5044,5121,5197,5282,5368,5459,5536,5616,5691,5770,5850,5931,6016,6102,6190,6294,6401,6490,6569,6665,6762,6860,6954,7065,7170,7287,7395,7527,7656,7793,7902,8036,8178,8311,8432,8569,8702,8832,8967,9106,9244,9399,9547,9669,9816,9935,10075,10206,10350,10480,10601,10731,10865,11013,11121,11264,11397,11527,11657,11790,11934,12085,12235,12384,12529,12675,12817,12967,13131,13290,13465,13673,13832,14021,14220,14412,14592,14799,14987,15161,15356,15550,15743,15973,16180,16397,16605,16817,17025,17230,17466,17698,17952,18194,18471,18726,18993,19253,19538,19827,20113,20411,20708,21021,21352,21711,22066,22404,22739,23109,23488,23866,24256,24659,25054,25432,25832,26226,26632,27032,27462,27810,28230,28668,29071,29521,29969,30395,30864,31310,31751,32232,32730,33238,33703,34215,34759,35227,35744,36260,36799,37312,37837,38409,38968,39579,40160,40775,41373,41973,42551,43174,43847,44517,45127,45853,46505,47238,47898,48563,49290,50003,50764,51512,52259,53100,53880,54715,55573,56409,57323,58221,59167,60150,61141,62116,63067,64111,65139,66234,67346,68484,69563,70691,71777,72995,74158,75328,76594,77766,79049,80273,81588,82876,84152,85445,86755,88111,89514,90862,92242,93706,95209,96721,98187,99675,101208,102771,104393,105996,107672,109319,111013,112692,114475,116319,118125,120014,121835,123680,125642,127478,129386,131378,133365,135296,137314,139237,141365,143402,145603,147705,149808,151978,154145,156342,158656,160980,163270,165614,167913,170258,172728,175295,177850,180324,182964,185637,188351,191073,193774,196528,199308,202164,205076,208086,211009,214006,217200,220306,223486,226696,229966,233193,236620,240131,243580,247149,250785,254318,258007,261678,265475,269228,273189,277147,281179,285263,289515,293807,298016,302332,306671,311090,315653,320196,324858,329600,334457,339219,344119,348912,353969,359117,364475,369744,374903,380347,385904,391476,397201,402923,408790,414708,420732,426639,432600,438678,444817,451115,457588,464111,470586,477130,483927,490684,497528,504565,511572,518663,526012,533371,540791,548327
1,1,1,1,1,1,2,3,5,6,8,9,10,11,11,11,11,11,11,11,14,16,22,28,33,36,42,47,52,58,67,74,85,93,105,112,120,127,139,145,153,158,167,173,178,187,197,206,209,221,231,242,245,255,266,273,280,294,313,332,350,367,390,409,422,448,468,480,506,535,557,579,599,628,655,690,728,771,794,826,868,909,957,997,1030,1077,1122,1171,1217,1277,1339,1393,1443,1510,1582,1648,1712,1777,1842,1914,1991,2064,2135,2213,2278,2361,2444,2519,2594,2671,2740,2833,2928,3009,3099,3165,3255,3339,3431,3507,3591,3665,3734,3810,3897,3990,4093,4164,4241,4332,4424,4491,4575,4664,4753,4856,4967,5073,5163,5259,5374,5477,5577,5691,5796,5926,6026,6150,6270,6394,6515,6654,6797,6948,7085,7218,7359,7485,7641,7782,7928,8102,8251,8419,8552,8728,8877,9047,9230,9404,9567,9720,9892,10053,10207,10375,10551,10716,10872,11037,11228,11400,11576,11746,11934,12122,12306,12486,12647,12815,13006,13198,13386,13590,13785,13991,14185,14400,14614,14804,14984,15216,15425,15640,15856,16096,16330,16571,16795,17022,17244,17468,17665,17903,18150,18393,18634,18874,19130,19425,19729,20007,20289,20578,20853,21149,21431,21712,21999,22343,22634,22926,23278,23594,23953,24302,24661,25044,25415,25763,26157,26544,26895,27312,27717,28195,28603,29039,29454,29904,30359,30809,31250,31704,32164,32622,33075,33565,34064,34544,35030,35509,35996,36504,37034,37552,38072,38644,39211,39755,40380,40971,41536,42143,42737,43381,44010,44671,45354,46032,46740,47431,48077,48823,49580,50324,51140,51891,52664,53450,54223,55054,55900,56669,57504,58365,59241,60118,61000,61904,62815,63765,64745,65685,66665,67693,68685,69721,70812,71921,73036,74147,75226,76348,77504,78749,79967,81252,82477,83691,84981,86270,87590,88942,90277,91609,93058,94447,95913,97390,98823,100320,101795,103331,104952,106496,108069,109642,111311,112961,114598,116336,118147,119914,121767,123609,125504,127437,129314,131223,133169,135175,137181,139273,141383,143537,145733,147960,150211,152485,154764,157189,159553,161843,164129,166563,169027,171532,174085,176590,179183,181718,184289,186940,189682,192391,195175,197934,200713,203516,206219,209105,211990,214993,218111,221286,224437,227548,230626,233855,237161,240447,243879,247266,250704,254131,257582,261117,264780,268438,272140,275962,279854,283741,287727,291733,295792,299880,304075,308383,312616,316925,321434,325991,330502,335175,339779,344485,349327,354251,359246,364247,369314,374333,379552,384686,389929,395287,400602,406072,411516,416999,422487,428138,433746,439586,445383,451411,457438,463526,469861,476336,482693,489191,495793,502400,509208,516190,523001,530049,537180,544376,551780,559279,566874,574546,582268,590087,598137,606214,614500,622625,631014,639343,647863,656615,665572,674451,683472,692518,701844,711179,720903,730477,740105,749974,759859,769763,779893,790234,800636,811297,821857,832671,843524,854577,865706,877206,888539,900241,911785,923523,935466,947455,959786,972189,984731
1,1,3,5,6,8,9,10,11,11,11,13,15,16,17,19,21,25,27,29,29,29,29,29,31,32,32,35,38,41,43,48,51,56,61,67,71,73,84,88,95,103,109,119,124,128,138,145,156,165,171,181,187,196,205,217,224,231,239,251,258,266,269,281,288,300,316,332,352,364,375,402,422,453,472,495,506,516,538,555,573,596,622,645,661,686,708,724,742,770,785,809,827,844,859,873,895,913,927,950,975,993,1015,1039,1060,1089,1115,1140,1165,1193,1209,1236,1264,1290,1320,1351,1389,1415,1454,1497,1536,1569,1614,1652,1697,1748,1799,1842,1882,1948,2001,2051,2104,2159,2218,2271,2310,2363,2407,2445,2489,2535,2568,2610,2658,2707,2753,2803,2836,2869,2911,2959,3003,3053,3099,3146,3197,3238,3280,3318,3369,3428,3492,3550,3607,3657,3714,3779,3825,3885,3958,4014,4078,4135,4184,4254,4316,4373,4454,4528,4586,4656,4720,4783,4854,4926,4994,5068,5153,5228,5304,5385,5460,5550,5628,5743,5839,5927,6016,6103,6204,6299,6412,6518,6641,6766,6897,7016,7141,7281,7422,7581,7711,7852,7996,8120,8267,8411,8584,8743,8904,9078,9246,9414,9550,9729,9876,10036,10216,10381,10566,10761,10935,11109,11285,11489,11690,11871,12091,12329,12527,12737,12937,13145,13365,13619,13822,14048,14282,14548,14832,15118,15357,15634,15885,16162,16468,16790,17056,17341,17640,17940,18235,18545,18864,19162,19491,19826,20173,20513,20867,21207,21567,21872,22191,22535,22888,23240,23607,23960,24360,24717,25085,25439,25829,26200,26548,26902,27252,27642,28047,28408,28805,29209,29608,29978,30402,30822,31237,31672,32145,32595,33065,33527,34009,34518,34993,35446,35946,36434,36927,37484,38085,38610,39232,39801,40369,40952,41554,42112,42682,43288,43892,44485,45129,45747,46403,47068,47735,48383,49063,49736,50445,51167,51959,52705,53486,54239,55068,55784,56544,57348,58202,59014,59834,60690,61542,62419,63328,64267,65167,66080,67044,67933,68898,69847,70869,71912,72911,73913,75008,76166,77204,78319,79449,80607,81733,82889,84090,85325,86561,87729,88984,90297,91616,92981,94333,95718,97158,98699,100238,101765,103378,104948,106613,108315,109961,111646,113362,115168,116945,118806,120690,122510,124370,126313,128294,130250,132283,134290,136342,138407,140538,142661,144791,146988,149134,151335,153569,155922,158200,160506,162879,165202,167561,170138,172638,175165,177732,180462,183264,186017,188803,191622,194532,197464,200352,203300,206321,209366,212482,215644,218856,222059,225305,228728,232163,235619,239117,242664,246286,249947,253678,257511,261156,265076,269213,273307,277304,281533,285752,290094,294406,298811,303273,307850,312414,317131,321975,326770,331612,336642,341591,346715,351989,357210,362414,367595,372899,378310,383792,389334,394912,400512,406258,412203,417928,424080,430136,436336,442560,448756,454960,461427,467941,474546,481224,487921,494732,501567,508549,515457,522386,529427,536733,544166,551715
1,1,1,3,6,7,9,10,14,14,14,21,24,27,41,49,58,67,71,79,85,93,107,116,128,130,146,156,169,176,187,200,215,229,255,271,285,297,307,322,333,355,362,378,388,401,421,437,467,490,510,531,558,581,597,627,653,689,720,747,770,808,838,868,894,922,948,989,1022,1048,1078,1121,1160,1199,1236,1288,1328,1372,1418,1464,1510,1573,1634,1684,1742,1812,1859,1918,1985,2069,2128,2179,2245,2301,2385,2443,2501,2585,2678,2757,2825,2893,2986,3073,3154,3240,3334,3418,3501,3594,3676,3753,3840,3942,4042,4117,4203,4293,4374,4467,4566,4662,4753,4842,4930,5032,5147,5240,5354,5470,5598,5705,5830,5949,6068,6191,6315,6435,6570,6694,6813,6941,7073,7216,7359,7504,7644,7781,7925,8108,8276,8430,8615,8817,8977,9134,9291,9474,9659,9865,10036,10232,10429,10631,10842,11049,11271,11482,11710,11924,12142,12350,12590,12834,13060,13309,13537,13799,14027,14292,14535,14823,15042,15302,15539,15817,16057,16315,16557,16804,17081,17355,17610,17907,18224,18529,18844,19188,19519,19833,20172,20514,20864,21218,21597,21990,22375,22698,23093,23513,23924,24330,24772,25229,25645,26089,26551,26998,27462,27940,28369,28863,29361,29887,30389,30895,31403,31929,32479,32980,33503,34023,34556,35082,35613,36129,36741,37309,37909,38490,39095,39742,40382,41034,41695,42355,42997,43640,44284,44926,45664,46364,47123,47932,48716,49491,50325,51117,51937,52772,53607,54491,55379,56296,57275,58244,59170,60151,61116,62078,63096,64196,65292,66329,67451,68621,69760,70900,72053,73178,74339,75609,76838,78095,79323,80605,81923,83289,84556,85885,87224,88576,89924,91313,92790,94274,95694,97136,98609,100117,101758,103405,105006,106684,108331,110048,111897,113635,115455,117300,119128,121035,123048,124978,126987,129034,131180,133349,135561,137675,139886,142158,144559,146947,149382,151795,154199,156741,159346,162005,164590,167406,170221,172963,175790,178729,181616,184585,187613,190619,193832,197081,200297,203554,206881,210118,213638,217108,220586,224176,227803,231588,235325,239170,243006,246886,250828,254872,258774,262917,266973,271257,275488,279850,284081,288472,292838,297366,301940,306494,311107,315775,320422,325203,329964,334788,339810,344774,349874,355036,360132,365300,370531,375884,381158,386619,392219,397671,403254,408902,414594,420349,426224,432300,438505,444599,450806,457029,463493,469966,476597,483320,490042,496909,504001,511153,518351,525568,532955,540377,548033,555653,563464,571269,579277,587273,595467,603821,612207,620654,629088,637773,646420,655221,664112,673135,682332,691886,701388,710914,720547,730420,740383,750406,760616,770793,781134,791329,802035,812684,823450,834512,845659,856867,868025,879458,890734,902303,913986,925856,937683,949620,961871,974368,986738,999209,1011887,1024782,1037902,1050886,1064200,1077534,1090743,1104283,1117924,1131762,1145829,1160043,1174445,1189139,1203992,1218908,1233898,1249097,1264565,1279853,1295480,1311371,1327320,1343631,1359687,1376080,1392724,1409651,1426314,1443514,1460853,1478055,1495623,1513355,1530963,1549264,1567294,1585554,1603945,1622622,1641597
1,1,1,1,1,1,1,5,8,9,10,10,10,10,12,14,17,17,20,23,24,26,27,31,36,43,47,51,53,56,62,67,69,75,85,93,99,104,112,121,131,143,150,156,164,176,191,203,214,226,240,249,265,278,298,310,325,342,354,367,384,406,428,446,463,481,499,512,537,552,570,589,610,639,665,696,722,750,783,803,838,861,893,935,964,1003,1041,1082,1130,1180,1220,1266,1310,1355,1402,1455,1500,1551,1593,1639,1712,1754,1822,1857,1908,1979,2044,2123,2201,2284,2360,2433,2505,2580,2663,2736,2814,2895,2981,3061,3144,3214,3307,3389,3465,3539,3627,3705,3789,3869,3952,4045,4145,4234,4306,4402,4484,4603,4700,4808,4919,5023,5124,5235,5357,5464,5574,5670,5797,5918,6042,6174,6299,6451,6578,6703,6842,6978,7124,7269,7399,7549,7684,7834,7992,8115,8237,8364,8505,8639,8784,8914,9078,9243,9361,9542,9695,9857,10011,10184,10349,10505,10672,10863,11009,11197,11397,11581,11805,12000,12204,12417,12627,12850,13078,13304,13559,13827,14061,14306,14561,14845,15138,15426,15771,16077,16378,16679,16994,17301,17616,17952,18285,18651,19007,19394,19781,20174,20580,20989,21399,21825,22279,22711,23124,23569,24001,24414,24887,25331,25762,26273,26767,27213,27707,28176,28659,29165,29685,30180,30697,31192,31705,32290,32837,33413,33911,34494,35039,35622,36183,36773,37340,37869,38467,39032,39592,40202,40790,41408,42032,42634,43244,43859,44452,45095,45722,46322,46961,47622,48253,48917,49612,50296,50912,51539,52227,52899,53598,54351,55065,55747,56501,57284,58002,58722,59506,60271,61046,61910,62733,63538,64404,65232,66137,67024,67954,68883,69784,70721,71742,72745,73775,74833,75918,77008,78080,79247,80431,81614,82769,83985,85273,86571,87846,89104,90343,91640,92968,94329,95642,97049,98412,99734,101122,102506,103895,105353,106775,108166,109554,111103,112623,114132,115641,117172,118773,120334,121947,123605,125331,127048,128811,130585,132336,134222,136069,137969,139908,141884,143914,145941,148020,150103,152257,154432,156601,158871,161110,163408,165720,168155,170485,172944,175422,177882,180382,182959,185527,188119,190743,193399,196131,198902,201630,204483,207393,210420,213338,216234,219212,222306,225401,228490,231593,234773,238012,241327,244693,247956,251490,254933,258468,261978,265540,269196,272835,276581,280360,284143,288107,292148,296216,300321,304422,308619,312889,317106,321452,325989,330485,334958,339520,344148,348925,353924,358742,363587,368514,373522,378667,383947,389218,394632,399987,405353,410784,416378,421900,427714,433456,439398,445505,451550,457617,463730,469878,476286,482827,489215,495852,502501,509300,516094,522971,529926,536901,544016,551261,558551,566094,573624,581415,589195,597021,604911,612898,620851,629118,637486,645827,654245,663135,672034,680837,690060,699262,708627,718029,727538,737175,747102,757161,767346,777484,787883,798492,809138,820157,831106,842215,853248,864695,876249,888141,899940,911888,924131,936323,948786,961426,974254,987250,1000457,1013684,1027254,1040574
1,1,1,4,4,4,7,7,7,7,15,23,25,36,36,42,51,58,68,79,89,97,103,108,118,127,143,154,168,179,197,210,223,235,243,259,273,288,301,317,330,341,365,387,416,442,467,496,525,552,582,616,648,691,730,763,798,833,877,921,957,993,1040,1073,1114,1157,1200,1242,1279,1312,1349,1387,1424,1461,1489,1515,1553,1595,1627,1655,1686,1725,1753,1781,1819,1849,1883,1911,1939,1974,2003,2036,2074,2104,2135,2168,2212,2234,2286,2323,2360,2395,2430,2474,2517,2563,2619,2659,2709,2756,2809,2871,2918,2963,3025,3089,3169,3221,3283,3347,3432,3491,3583,3662,3733,3810,3910,4003,4116,4234,4344,4446,4558,4652,4769,4868,5002,5121,5237,5359,5500,5651,5772,5890,6010,6138,6270,6401,6533,6643,6764,6905,7035,7191,7339,7473,7608,7735,7874,8013,8149,8262,8398,8526,8659,8818,8972,9097,9256,9384,9550,9715,9882,10029,10180,10359,10537,10704,10889,11091,11294,11492,11683,11912,12130,12359,12575,12808,13068,13330,13596,13863,14125,14386,14647,14951,15199,15495,15773,16044,16361,16654,16931,17223,17517,17791,18078,18390,18653,18929,19201,19493,19755,20025,20295,20572,20848,21111,21368,21654,21938,22250,22558,22862,23168,23473,23789,24105,24402,24748,25079,25410,25744,26067,26406,26753,27100,27464,27815,28187,28607,28994,29363,29738,30192,30629,31057,31442,31867,32295,32722,33185,33657,34095,34584,35033,35488,35946,36461,36924,37449,37930,38463,38994,39551,40093,40607,41152,41710,42277,42865,43462,44085,44676,45338,45991,46640,47333,48018,48705,49393,50094,50795,51533,52323,53045,53846,54594,55377,56154,56930,57751,58571,59444,60337,61207,62105,63029,63971,64942,65872,66891,67903,68962,69986,71139,72215,73320,74494,75642,76901,78172,79469,80715,81994,83264,84578,85950,87251,88567,89978,91388,92828,94277,95689,97173,98624,100151,101659,103233,104791,106425,108096,109727,111448,113106,114882,116617,118373,120200,121988,123860,125669,127598,129524,131544,133598,135604,137594,139655,141671,143739,145904,148090,150276,152480,154663,156859,159172,161515,163838,166308,168726,171240,173797,176471,179025,181624,184245,186829,189571,192360,195229,198045,200948,203952,206975,210039,212997,216151,219350,222572,225772,229094,232469,235982,239479,243069,246514,250130,253823,257458,261214,265060,268989,272822,276815,280833,284922,289255,293452,297713,301999,306494,310959,315455,320018,324755,329536,334283,339143,344050,349079,354126,359133,364452,369703,374994,380273,385625,391045,396529,402063,407770,413498,419197,425130,431143,437263,443286,449443,455782,462194,468616,475081,481462,487791,494461,501284,508280,515250,522027,529041,536222,543539,550865,558298,565790,573478,581033,588834,596701,604779,612869,621131,629332,637748,646328,655177,664101,673099,682257,691441,700699,710317,719997,729716,739671,749616,759689,769906,780371,790892,801320,812040,822886,833909,844971,856317,867667,879153,890723,902714,914815,927043,939315,951755,964080,976773,989873,1002886,1016056,1029339,1042691,1056219,1069941,1083781
1,1,2,2,5,5,7,7,8,8,8,8,8,8,9,13,18,22,26,28,30,36,39,41,43,49,57,62,70,78,94,104,113,118,129,133,143,153,161,167,180,189,204,213,220,224,235,238,241,247,255,261,266,269,273,276,279,282,287,291,300,303,310,313,315,318,322,331,340,350,356,366,384,397,407,424,435,445,454,465,482,494,501,514,530,557,579,591,613,636,657,675,694,720,739,773,810,841,881,927,978,1029,1068,1133,1176,1233,1288,1343,1398,1449,1507,1561,1627,1680,1734,1779,1832,1890,1955,2015,2075,2122,2196,2251,2312,2371,2420,2487,2542,2581,2639,2689,2751,2822,2883,2946,2998,3057,3114,3173,3235,3302,3361,3436,3504,3574,3661,3728,3803,3889,3967,4058,4148,4233,4328,4419,4519,4622,4721,4830,4935,5047,5136,5248,5367,5466,5569,5676,5780,5890,6012,6127,6238,6335,6450,6574,6678,6782,6885,6992,7127,7248,7376,7516,7670,7795,7959,8095,8235,8387,8520,8660,8799,8956,9109,9266,9432,9603,9760,9936,10113,10289,10490,10679,10837,11024,11211,11416,11592,11762,11949,12165,12403,12611,12817,13004,13209,13415,13609,13821,14026,14235,14426,14662,14886,15107,15311,15511,15730,15968,16178,16416,16643,16870,17102,17360,17599,17808,18073,18291,18523,18775,19024,19251,19504,19764,20014,20282,20561,20815,21098,21362,21627,21922,22208,22451,22711,23001,23302,23630,23933,24253,24545,24845,25151,25440,25766,26060,26430,26755,27092,27403,27766,28109,28463,28841,29188,29613,29968,30381,30775,31172,31599,31972,32412,32838,33288,33748,34217,34673,35152,35623,36128,36611,37127,37591,38116,38646,39163,39705,40312,40826,41378,41938,42505,43105,43710,44315,44886,45525,46154,46773,47396,48061,48734,49406,50114,50819,51551,52270,53012,53773,54556,55376,56166,57014,57853,58678,59536,60420,61310,62183,63051,64036,64952,65901,66877,67826,68769,69776,70843,71821,72868,73916,75025,76031,77075,78205,79344,80469,81615,82716,83844,85080,86298,87567,88765,90035,91310,92569,93956,95313,96751,98133,99561,100974,102511,103978,105440,106998,108561,110073,111613,113223,114786,116405,117983,119594,121172,122795,124480,126097,127747,129513,131217,133032,134811,136608,138383,140211,142066,144001,146038,148043,150049,152048,154072,156138,158150,160352,162585,164713,166931,169186,171413,173757,176020,178347,180662,183115,185546,188056,190627,193132,195702,198210,200829,203513,206225,209002,211768,214602,217549,220598,223531,226560,229675,232796,235991,239254,242528,245760,249154,252498,255954,259379,262918,266377,270050,273684,277430,281138,284832,288628,292550,296444,300375,304496,308646,312807,317081,321404,325632,329934,334360,338898,343486,348161,352803,357694,362518,367472,372595,377598,382920,388245,393658,399026,404565,410056,415754,421511,427337,433209,439279,445234,451256,457455,463765,470468,476924,483536,490184,497176,504094,511030,518290,525347,532575,540121,547703,555358,563009,570802,578615,586559,594483
1,1,1,1,1,5,6,7,9,12,12,15,25,29,34,38,47,52,58,67,75,80,88,93,105,116,121,132,139,150,154,161,169,174,182,188,193,202,208,212,216,222,233,244,251,259,262,269,278,283,291,299,306,313,322,325,327,335,344,361,372,379,388,397,407,416,437,448,463,485,502,523,547,577,608,637,668,702,737,768,799,825,860,896,927,951,993,1037,1063,1095,1130,1166,1197,1232,1268,1299,1330,1362,1390,1431,1464,1500,1548,1585,1637,1682,1716,1756,1802,1848,1894,1938,1999,2053,2107,2148,2198,2264,2309,2374,2425,2472,2536,2600,2674,2750,2831,2900,2982,3079,3153,3248,3337,3422,3518,3613,3703,3794,3884,3985,4070,4151,4226,4322,4416,4543,4649,4758,4861,4983,5103,5221,5331,5438,5539,5671,5793,5930,6076,6233,6378,6507,6647,6786,6916,7093,7256,7416,7577,7737,7910,8098,8262,8440,8587,8761,8947,9126,9291,9469,9650,9821,9981,10135,10331,10482,10655,10835,11026,11211,11384,11569,11743,11921,12113,12298,12512,12719,12898,13077,13284,13476,13678,13883,14105,14310,14527,14758,14982,15203,15431,15658,15859,16057,16292,16536,16789,16996,17214,17457,17673,17866,18082,18297,18525,18750,18940,19177,19391,19617,19870,20112,20368,20673,20928,21198,21468,21729,22012,22312,22613,22927,23213,23504,23826,24172,24500,24827,25158,25478,25784,26109,26483,26825,27171,27525,27842,28189,28519,28875,29222,29545,29891,30237,30561,30957,31316,31676,32066,32419,32828,33207,33616,34005,34372,34757,35148,35572,36026,36408,36841,37242,37679,38121,38557,39058,39546,40079,40537,41018,41540,42053,42573,43060,43565,44128,44713,45229,45807,46374,46981,47562,48179,48780,49394,49998,50640,51272,51889,52534,53195,53887,54519,55185,55863,56567,57300,57976,58697,59375,60106,60865,61571,62304,63045,63863,64612,65373,66223,67005,67793,68621,69412,70255,71149,72022,72851,73707,74624,75576,76521,77469,78455,79450,80383,81404,82446,83437,84527,85609,86742,87904,89082,90309,91483,92688,93907,95168,96476,97789,99089,100425,101743,103178,104535,105819,107206,108582,110029,111438,112998,114478,116009,117661,119363,120956,122663,124302,125918,127692,129449,131249,133037,134929,136849,138729,140715,142725,144699,146735,148791,150900,153025,155283,157498,159709,161997,164281,166563,168878,171323,173768,176200,178696,181193,183696,186268,188943,191665,194358,197058,199988,202789,205559,208445,211283,214200,217035,219948,223011,226109,229175,232364,235602,238858,242112,245507,248848,252212,255625,259242,262776,266357,269950,273695,277460,281324,285132,289060,292897,296927,301045,305173,309287,313582,317801,322126,326575,331079,335627,340166,344854,349594,354299,359129,364009,369001,374029,379130,384183,389387,394665,400004,405195,410795,416346,421994,427592,433316,439174,445106,451088,457125,463194,469365,475458,481727,488184,494623,501054,507442,514054,520671,527411,534256,541148,548205,555461,562596,569899,577334,584500,591948,599644,607480,615510,623692
1,1,1,2,2,3,3,4,6,6,7,11,15,19,21,22,24,25,26,27,30,31,36,41,46,52,62,68,74,80,86,92,104,115,130,133,141,143,148,155,163,168,173,181,192,197,202,206,214,222,231,237,244,252,252,258,263,270,274,279,283,286,286,286,288,293,299,300,304,310,311,317,320,324,328,330,336,341,347,355,362,365,372,375,384,393,397,401,413,420,435,446,458,476,490,495,505,523,537,551,565,584,600,617,633,652,671,690,709,724,735,763,785,808,836,864,891,916,939,975,1004,1040,1070,1096,1122,1150,1195,1225,1256,1294,1340,1377,1409,1453,1496,1535,1581,1614,1665,1716,1763,1818,1859,1918,1957,2017,2053,2098,2147,2205,2262,2307,2350,2401,2468,2532,2582,2650,2705,2764,2827,2905,2975,3028,3095,3157,3207,3255,3315,3360,3412,3489,3544,3587,3640,3691,3749,3807,3868,3921,3978,4023,4076,4132,4190,4266,4332,4403,4459,4539,4607,4683,4763,4861,4950,5039,5116,5198,5284,5387,5463,5554,5657,5752,5877,5967,6071,6183,6279,6398,6520,6623,6741,6841,6984,7119,7265,7394,7514,7668,7801,7933,8090,8232,8384,8557,8706,8837,8980,9135,9282,9429,9598,9746,9909,10080,10263,10431,10588,10754,10891,11042,11225,11382,11554,11735,11920,12125,12322,12526,12748,12961,13177,13389,13587,13789,14025,14231,14467,14700,14941,15175,15395,15661,15924,16210,16512,16781,17070,17314,17604,17894,18193,18467,18779,19112,19391,19705,20008,20325,20684,21051,21430,21781,22176,22547,22960,23352,23807,24218,24634,25107,25607,26084,26561,27060,27548,28051,28567,29123,29658,30200,30755,31298,31878,32437,33023,33629,34235,34851,35460,36030,36635,37319,37935,38678,39313,39988,40681,41326,42037,42788,43544,44264,44960,45707,46479,47210,47994,48799,49639,50446,51264,52074,52882,53674,54569,55430,56295,57247,58178,59101,60029,60989,61999,63008,64042,65028,66054,67173,68258,69352,70545,71710,72924,74127,75366,76625,77788,79083,80431,81731,83117,84549,85992,87490,89030,90554,92061,93627,95075,96568,98271,99910,101578,103176,104936,106674,108410,110134,111959,113704,115508,117354,119253,121216,123133,125130,127189,129231,131489,133670,135869,138210,140522,142890,145173,147474,149910,152438,154976,157463,159974,162568,165218,167862,170550,173394,176161,178965,181900,184924,187977,190949,194032,197235,200452,203609,206790,210055,213409,216790,220220,223793,227324,230944,234592,238092,241754,245439,249149,252985,256823,260720,264619,268504,272569,276545,280584,284622,288770,293015,297406,301763,306137,310661,315312,319946,324541,329213,333969,338746,343543,348409,353391,358340,363378,368604,373754,378982,384267,389665,395072,400525,406099,411722,417412,423235,429124,435002,441031,447159,453288,459663,466046,472458,479040,485577,492302,499125,506153,513154,520373,527790,535132,542450,549868,557153,564862,572402,580348,588347,596398,604506,612750,621243,629536
1,1,1,1,1,1,1,4,5,7,7,8,11,14,18,23,25,28,32,37,43,50,53,60,69,77,85,89,97,106,112,123,137,156,162,177,188,196,208,225,246,259,274,293,305,320,333,356,373,390,417,437,463,485,506,520,539,556,575,601,628,652,672,693,714,736,759,783,805,835,866,893,924,953,979,1012,1048,1084,1119,1163,1214,1251,1299,1359,1420,1468,1524,1582,1626,1672,1722,1777,1836,1900,1963,2028,2083,2134,2206,2279,2342,2426,2506,2577,2656,2722,2797,2884,2968,3078,3146,3220,3302,3384,3481,3550,3629,3705,3782,3875,3964,4063,4144,4245,4354,4447,4544,4638,4730,4838,4951,5058,5165,5266,5368,5480,5589,5708,5844,5979,6108,6252,6391,6536,6668,6793,6963,7110,7291,7469,7650,7833,8016,8186,8389,8588,8801,9015,9238,9476,9694,9948,10202,10447,10720,10975,11278,11540,11832,12145,12477,12793,13101,13426,13787,14112,14450,14801,15178,15562,15920,16287,16671,17049,17446,17867,18317,18732,19140,19591,20037,20480,20914,21390,21883,22372,22804,23302,23770,24253,24774,25271,25794,26295,26806,27324,27804,28347,28869,29439,29976,30523,31127,31733,32297,32902,33485,34076,34691,35316,35942,36561,37216,37898,38575,39277,40057,40757,41457,42170,42917,43674,44415,45151,45969,46776,47623,48501,49307,50173,51091,52019,52891,53858,54795,55790,56749,57756,58772,59800,60838,61883,62919,64006,65094,66201,67240,68310,69465,70566,71708,72854,74062,75263,76495,77642,78843,80020,81270,82617,83896,85222,86532,87840,89159,90483,91831,93214,94635,96084,97530,98980,100508,101946,103464,104983,106585,108245,109832,111401,113055,114687,116388,118032,119671,121301,123040,124797,126591,128442,130278,132050,133920,135790,137693,139565,141512,143609,145673,147816,149905,152026,154159,156413,158651,160915,163194,165589,167900,170365,172845,175322,177789,180325,182869,185483,188070,190838,193629,196334,199110,201891,204709,207596,210465,213410,216404,219453,222537,225671,228766,231963,235194,238475,241796,245149,248566,252087,255507,259010,262649,266335,270068,273774,277668,281484,285489,289542,293663,297784,301923,306115,310486,315048,319413,323919,328440,333069,337704,342473,347347,352376,357336,362466,367590,372685,377980,383352,388724,394206,399637,405134,410754,416369,422092,427823,433724,439659,445697,451797,457891,464078,470212,476337,482718,489180,495700,502128,508987,515829,522933,529934,536954,544031,551225,558623,566230,573795,581345,589195,597156,605359,613595,621914,630220,638574,647062,655474,664307,672961,682016,691059,700334,709583,719039,728603,738152,747825,757674,767688,777763,787970,798169,808630,819270,829990,840681,851519,862581,873709,884913,896339,907918,919539,931233,943174,955188,967236,979559,992100,1004601,1017416,1030172,1043246,1056451,1069551,1082914,1096682,1110600,1124556,1138784,1153033,1167252,1181366,1195772,1210384,1225284,1240150,1255249,1270518,1285944,1301384,1316902,1332558,1348453,1364391,1380580,1397029,1413355,1429911,1446664,1463817,1480827,1498011,1515286,1532722,1550219,1568178,1586158,1604362,1622791,1641269,1659939,1678765,1698231,1717555,1737397
1,1,1,1,2,5,8,8,11,13,13,13,13,14,15,15,15,17,17,18,21,21,27,27,30,31,32,34,39,45,52,61,69,78,91,102,107,119,130,142,152,160,170,183,186,190,198,208,211,220,228,240,248,257,272,290,308,319,326,342,368,383,400,420,435,457,481,508,528,555,576,598,625,651,684,716,748,771,799,827,855,884,916,955,994,1029,1068,1105,1155,1192,1233,1272,1323,1364,1398,1436,1471,1525,1571,1606,1642,1689,1735,1772,1819,1861,1908,1947,1985,2022,2066,2121,2170,2220,2270,2327,2390,2452,2519,2582,2642,2711,2774,2840,2901,2975,3058,3129,3226,3307,3381,3459,3553,3645,3768,3869,3980,4094,4206,4290,4397,4527,4653,4788,4927,5051,5200,5349,5481,5623,5786,5930,6105,6294,6488,6656,6823,7005,7199,7383,7560,7782,7984,8198,8430,8660,8911,9116,9383,9633,9902,10166,10455,10761,11064,11380,11682,11984,12283,12606,12928,13242,13585,13909,14239,14612,14962,15303,15646,15998,16355,16693,17040,17437,17795,18174,18528,18895,19270,19673,20062,20421,20788,21179,21555,21958,22425,22813,23273,23716,24139,24582,25057,25533,26019,26462,26983,27451,27959,28438,28969,29527,30037,30539,31091,31609,32170,32682,33250,33847,34434,35065,35661,36328,37016,37610,38262,38890,39566,40260,40962,41626,42327,43006,43712,44413,45107,45835,46518,47235,47957,48668,49408,50155,50844,51560,52280,52985,53755,54516,55303,56075,56854,57700,58513,59330,60195,61019,61876,62709,63654,64586,65509,66426,67411,68376,69380,70410,71377,72376,73474,74573,75684,76814,77939,79138,80219,81403,82637,83814,85097,86347,87642,88976,90339,91683,93081,94470,95913,97311,98803,100315,101792,103321,104886,106499,108114,109673,111229,112762,114427,116122,117856,119596,121325,123052,124906,126729,128649,130479,132363,134307,136285,138330,140387,142425,144424,146539,148738,150949,153045,155270,157493,159811,162083,164417,166811,169309,171718,174172,176619,179118,181734,184318,186904,189443,192130,194780,197389,200152,202994,205765,208536,211419,214404,217368,220347,223310,226302,229421,232492,235642,238807,242166,245532,248901,252292,255787,259435,263043,266651,270422,274202,278021,281963,285865,289843,293933,298022,302139,306353,310666,314956,319253,323617,328174,332646,337255,341992,346594,351418,356322,361191,366299,371282,376358,381480,386684,392029,397413,402788,408336,414041,419711,425410,431164,437002,442838,448758,454751,460886,467184,473298,479480,485797,492196,498893,505428,512141,518882,525858,532934,540014,547029,554168,561370,568698,576193,583779,591532,599470,607169,615040,623170,631328,639640,647828,656220,664878,673385,682062,690799,699617,708459,717377,726461,735775,744885,754283,763783,773409,783188,792956,802933,813108,823270,833550,844152,854716,865628,876499,887431,898513,909892,921320,933139,945094,957192,969312,981584,993970,1006672,1019515,1032459,1045703,1059155,1072599,1086550,1100143,1114187,1128556,1142856,1157030,1171699,1186568,1201598,1216840,1232234,1248019,1263768,1279788,1295975,1312009,1328392,1345118,1361922,1379073
1,1,1,3,6,7,9,12,18,23,28,35,41,47,57,70,78,86,96,109,116,121,127,141,154,164,176,187,194,205,213,224,227,235,247,261,270,278,290,298,314,330,349,374,386,401,423,445,467,493,507,536,557,583,614,646,684,723,771,815,866,903,943,1000,1058,1104,1151,1198,1248,1311,1363,1414,1487,1541,1579,1642,1706,1770,1837,1917,1999,2059,2119,2182,2239,2313,2387,2468,2547,2641,2712,2784,2856,2915,2975,3048,3124,3205,3290,3369,3439,3503,3593,3660,3723,3791,3854,3934,3998,4085,4172,4256,4337,4422,4501,4594,4697,4778,4873,4957,5046,5159,5270,5343,5445,5558,5663,5782,5892,6028,6137,6260,6398,6530,6683,6825,6963,7101,7232,7356,7517,7659,7807,7954,8090,8260,8430,8554,8716,8847,9008,9140,9294,9460,9647,9810,9989,10139,10305,10476,10648,10819,10988,11170,11356,11562,11742,11921,12104,12302,12484,12663,12862,13046,13266,13475,13696,13921,14164,14413,14608,14834,15030,15244,15448,15650,15891,16125,16352,16566,16821,17089,17357,17612,17882,18149,18412,18685,18951,19231,19508,19767,20051,20327,20612,20901,21207,21488,21773,22062,22380,22691,22990,23302,23634,23946,24257,24579,24907,25238,25573,25941,26290,26656,27022,27368,27742,28108,28491,28865,29202,29580,30027,30419,30872,31328,31756,32170,32593,33043,33531,34036,34540,35022,35513,35965,36464,36958,37491,38001,38471,38987,39525,40046,40597,41160,41724,42253,42801,43391,44001,44592,45194,45747,46337,46940,47548,48229,48895,49540,50236,50920,51630,52335,53042,53783,54517,55281,56011,56783,57550,58304,59071,59904,60744,61572,62429,63236,64063,64961,65829,66739,67644,68563,69564,70550,71561,72541,73564,74575,75621,76753,77884,79013,80158,81340,82486,83691,84939,86250,87501,88699,90024,91350,92649,93938,95305,96617,98061,99455,100880,102371,103852,105305,106837,108310,109855,111378,113048,114739,116356,118049,119779,121390,123091,124845,126586,128375,130190,132001,133857,135695,137573,139499,141345,143294,145244,147316,149332,151407,153470,155521,157618,159740,161946,164161,166466,168816,171070,173401,175816,178321,180835,183236,185762,188279,190825,193520,196247,198859,201501,204266,207065,209915,212736,215592,218363,221286,224277,227269,230230,233333,236438,239656,242861,246062,249452,252818,256171,259676,263158,266774,270459,274127,277915,281719,285626,289601,293587,297601,301682,305838,310107,314500,318807,323143,327657,332108,336657,341400,346070,350791,355657,360502,365554,370758,375786,380957,386269,391449,396804,402236,407748,413176,418650,424285,430122,436104,441991,448012,454129,460332,466637,472935,479485,486026,492622,499251,506012,512741,519570,526807,533837,541223,548673,556059,563520,570971,578453,586306,594135,602098,610198,618367,626549,634878,643274,651778,660238,668914,677737,686701,695696,704813,713977,723384,732816,742411,751957,761644,771381,781386,791784,802126,812396,822865,833385,844256,855381,866474,877683,889175,900913,912669,924408,936374,948460,960622,973190,985786,998735,1011632,1024803,1038165,1051688,1065211,1078855
1,1,5,6,7,11,13,15,19,26,28,34,39,41,44,49,54,62,67,71,77,82,88,96,105,112,117,122,133,140,150,157,163,169,175,184,195,201,204,209,218,226,233,239,243,252,254,262,272,278,285,294,298,304,307,311,313,318,324,324,329,334,346,351,356,362,370,377,380,390,395,401,411,415,430,445,460,476,498,516,535,547,567,586,604,626,649,667,694,721,739,766,793,819,854,877,900,925,963,981,1006,1034,1064,1092,1121,1149,1182,1210,1237,1254,1277,1299,1327,1345,1373,1390,1418,1434,1458,1484,1511,1539,1570,1587,1618,1656,1692,1725,1773,1812,1846,1889,1928,1973,2011,2059,2096,2133,2181,2242,2298,2356,2414,2462,2517,2576,2637,2700,2782,2830,2893,2966,3028,3090,3160,3225,3304,3397,3470,3534,3620,3704,3790,3860,3949,4040,4126,4224,4320,4421,4512,4607,4703,4794,4899,5001,5097,5187,5284,5376,5467,5598,5704,5812,5911,6014,6116,6226,6326,6442,6543,6640,6756,6873,6972,7096,7195,7316,7430,7548,7669,7809,7925,8065,8201,8319,8456,8601,8732,8859,8993,9152,9302,9448,9608,9753,9907,10059,10225,10393,10546,10719,10887,11072,11242,11457,11664,11874,12055,12264,12468,12709,12916,13149,13359,13603,13847,14099,14348,14581,14844,15091,15348,15631,15920,16185,16478,16812,17138,17485,17821,18149,18527,18894,19246,19627,19997,20393,20804,21198,21609,22044,22456,22880,23285,23690,24148,24582,25025,25505,25976,26413,26876,27322,27795,28274,28754,29287,29793,30297,30729,31211,31703,32245,32742,33294,33799,34340,34841,35434,36019,36571,37143,37761,38388,39011,39627,40315,40916,41535,42179,42818,43456,44099,44742,45461,46138,46879,47602,48332,49038,49857,50617,51369,52102,52914,53687,54507,55274,56064,56894,57743,58566,59451,60312,61139,62009,62993,63888,64772,65701,66630,67651,68637,69667,70639,71663,72674,73730,74799,75844,76884,77945,79040,80122,81292,82352,83473,84609,85764,86912,88147,89384,90604,91843,93040,94280,95544,96835,98178,99483,100811,102224,103718,105121,106534,108015,109456,110929,112421,113938,115580,117122,118733,120424,122118,123778,125548,127265,129048,130888,132713,134581,136449,138339,140336,142319,144287,146290,148392,150447,152469,154546,156537,158575,160844,162972,165164,167340,169660,172001,174366,176684,179101,181534,184029,186489,189075,191679,194296,196904,199509,202157,204857,207513,210199,213012,215771,218686,221726,224697,227719,230828,234069,237179,240403,243791,247128,250447,253867,257412,260890,264378,268024,271694,275408,279087,282896,286756,290650,294632,298673,302674,306700,310820,314934,319062,323352,327664,331986,336408,340773,345272,349659,354219,358751,363445,368156,372920,377756,382692,387646,392458,397359,402358,407368,412474,417779,422910,428158,433445,438951,444452,450084,455674,461256,466883,472785,478720,484656,490570,496534,502604,508723,514931,521116,527299,533635,540103,546614,553296,559980,566778,573470,580341,587492,594596
1,1,1,1,1,2,4,9,9,11,14,16,19,24,32,38,45,59,64,68,74,82,96,104,108,121,132,141,152,160,166,174,186,194,203,213,228,241,259,273,287,307,327,348,365,390,407,429,449,471,492,524,555,597,620,656,677,714,743,796,836,870,901,943,1001,1062,1109,1155,1217,1284,1349,1404,1458,1515,1577,1632,1690,1747,1807,1863,1911,1964,2017,2069,2124,2191,2258,2327,2400,2463,2510,2577,2644,2711,2766,2830,2911,2995,3074,3155,3239,3322,3404,3489,3569,3652,3722,3797,3861,3929,3988,4068,4143,4213,4284,4363,4431,4523,4602,4689,4776,4852,4947,5031,5135,5220,5322,5405,5527,5648,5754,5857,5993,6096,6211,6332,6455,6578,6698,6823,6942,7061,7195,7302,7422,7533,7640,7775,7905,8039,8176,8303,8420,8545,8702,8846,8985,9104,9231,9375,9504,9624,9772,9911,10048,10199,10393,10568,10725,10911,11090,11290,11474,11658,11820,12030,12251,12459,12668,12892,13109,13345,13579,13816,14010,14241,14447,14665,14888,15110,15349,15563,15775,16003,16245,16506,16738,16999,17236,17470,17697,17945,18175,18433,18668,18944,19218,19506,19768,20038,20307,20572,20855,21139,21404,21671,21954,22250,22540,22807,23121,23432,23744,24047,24368,24686,25021,25302,25603,25916,26239,26552,26884,27229,27575,27893,28207,28551,28859,29176,29510,29884,30224,30585,30930,31312,31663,32041,32412,32760,33128,33506,33892,34274,34654,35049,35443,35874,36294,36676,37087,37503,37920,38321,38725,39184,39636,40064,40525,41028,41495,41970,42505,43037,43528,44103,44668,45235,45823,46351,46908,47496,48089,48659,49297,49899,50562,51157,51830,52498,53172,53872,54563,55291,56038,56786,57554,58375,59123,59905,60758,61584,62474,63295,64173,65033,65934,66827,67760,68704,69650,70590,71528,72564,73564,74601,75633,76706,77749,78850,79952,81011,82140,83277,84436,85567,86732,87861,89029,90222,91473,92680,93938,95127,96318,97603,98911,100189,101565,102895,104181,105451,106793,108143,109579,110976,112410,113916,115420,116891,118342,119821,121418,123046,124641,126305,127942,129574,131337,132967,134673,136450,138276,140067,141988,143915,145856,147814,149748,151737,153754,155774,157827,159859,161935,164055,166259,168503,170693,172912,175261,177567,179837,182224,184710,187176,189588,192057,194594,197193,199829,202554,205219,207896,210773,213531,216298,219097,221958,224789,227621,230552,233597,236621,239669,242751,245858,249076,252240,255568,258921,262236,265568,268947,272571,276145,279651,283285,286938,290592,294410,298183,302000,305892,309878,313908,317962,322063,326142,330434,334737,339107,343598,348164,352657,357328,362135,367075,371953,376743,381794,386777,391843,397046,402371,407760,413141,418609,424237,429792,435460,441219,447210,453230,459328,465426,471588,477733,484068,490339,496842,503390,509976,516834,523626,530505,537431,544633,551816,559118,566590,574147,581822,589611,597381,605285,613270,621392,629721,638189,646616,655100,663606,672304,681142,689984,698954,708019,717238,726357,736007,745420,754968,764792,774520,784578,794566
1,1,1,1,1,1,1,5,6,7,9,11,12,15,20,21,23,24,24,24,26,29,30,31,32,40,47,49,53,60,64,72,79,85,89,94,102,110,121,133,144,154,162,170,182,193,203,214,224,230,236,242,251,257,269,281,293,301,308,316,324,331,349,361,373,393,403,417,434,452,467,484,497,514,537,553,577,602,619,639,666,696,715,740,776,807,836,858,885,915,944,978,1012,1053,1091,1127,1167,1217,1268,1297,1329,1362,1404,1448,1495,1540,1581,1634,1664,1720,1762,1812,1859,1904,1937,1988,2023,2090,2133,2175,2226,2275,2338,2384,2442,2517,2581,2643,2710,2791,2868,2938,3004,3071,3147,3238,3304,3387,3482,3554,3639,3727,3826,3906,3996,4074,4165,4276,4367,4443,4523,4626,4749,4850,4952,5085,5186,5303,5403,5485,5604,5726,5868,6012,6118,6251,6374,6477,6586,6695,6830,6956,7085,7211,7336,7464,7607,7764,7900,8052,8201,8339,8498,8665,8836,8989,9157,9319,9498,9655,9821,9997,10175,10351,10517,10700,10895,11109,11306,11489,11651,11835,12031,12231,12414,12608,12800,12992,13209,13373,13554,13736,13946,14120,14319,14514,14704,14905,15107,15333,15549,15757,15972,16180,16415,16634,16857,17099,17311,17518,17771,18003,18255,18503,18733,18989,19242,19488,19772,20043,20343,20625,20877,21153,21414,21689,21995,22267,22543,22824,23134,23461,23756,24044,24350,24688,25027,25411,25737,26115,26431,26829,27178,27587,27968,28331,28699,29097,29457,29851,30228,30616,31048,31424,31813,32243,32621,33035,33445,33874,34312,34743,35185,35597,36035,36489,36955,37426,37924,38352,38842,39323,39795,40309,40820,41370,41886,42410,42968,43558,44121,44666,45266,45810,46411,47008,47575,48161,48769,49375,50004,50626,51264,51925,52556,53239,53846,54542,55213,55851,56534,57282,57984,58748,59484,60150,60898,61613,62331,63130,63914,64649,65480,66259,67086,67925,68807,69641,70498,71447,72369,73300,74266,75249,76272,77313,78333,79365,80377,81473,82542,83647,84763,85890,87073,88191,89340,90501,91711,92899,94110,95362,96662,98025,99370,100719,101999,103360,104776,106171,107594,109076,110537,111942,113447,114941,116468,118033,119557,121117,122722,124368,125968,127620,129252,130798,132454,134106,135755,137427,139146,140877,142673,144529,146425,148243,150122,152057,153920,155863,157786,159662,161672,163707,165822,167977,170099,172279,174459,176579,178905,181228,183527,185800,188192,190545,192990,195436,197866,200345,202862,205362,207935,210495,213147,215734,218421,221100,223806,226558,229361,232137,235018,237889,240864,243741,246725,249720,252832,256006,259235,262406,265690,269096,272488,275938,279438,282951,286615,290343,294182,298043,301880,305725,309719,313839,317862,322032,326294,330597,334995,339538,343972,348487,353135,357775,362563,367409,372312,377266,382355,387555,392690,397878,403121,408413,413848,419428,424995,430807,436545,442235,448095,453944,459822,465901,472176,478323,484840,491214,497605,504301,511089,517824,524713,531637,538778
1,1,1,3,4,7,8,11,14,17,18,24,26,35,41,45,50,56,60,64,74,85,92,105,115,127,133,142,149,160,169,178,186,197,205,215,223,232,243,256,270,285,292,305,320,333,350,367,392,427,459,485,519,549,582,611,651,680,711,759,805,833,885,925,970,1003,1047,1098,1139,1186,1230,1285,1332,1381,1431,1479,1541,1607,1671,1726,1778,1836,1890,1953,2007,2049,2098,2159,2215,2270,2321,2366,2411,2475,2535,2594,2655,2721,2769,2833,2895,2961,3019,3075,3121,3191,3246,3313,3371,3431,3495,3547,3605,3670,3739,3799,3867,3929,4006,4078,4148,4214,4270,4339,4402,4461,4525,4594,4656,4739,4801,4879,4939,5013,5085,5160,5238,5330,5414,5507,5597,5681,5777,5883,5976,6076,6176,6278,6380,6494,6610,6727,6847,6952,7079,7200,7326,7448,7567,7702,7829,7971,8099,8244,8372,8527,8688,8836,8993,9135,9265,9412,9554,9717,9872,10029,10184,10365,10497,10651,10800,10968,11106,11285,11426,11595,11760,11936,12094,12253,12421,12571,12758,12930,13130,13300,13497,13664,13869,14071,14270,14456,14651,14833,15047,15248,15458,15679,15892,16076,16272,16484,16693,16876,17079,17294,17508,17711,17916,18146,18375,18624,18843,19076,19279,19521,19730,19942,20160,20399,20671,20910,21186,21437,21719,21960,22221,22474,22737,23004,23277,23573,23878,24182,24500,24817,25110,25431,25752,26061,26372,26688,27037,27390,27710,28069,28408,28718,29083,29456,29870,30254,30645,31014,31419,31839,32256,32685,33096,33562,33995,34436,34876,35388,35826,36259,36743,37265,37788,38359,38892,39429,39976,40499,41050,41667,42280,42873,43499,44118,44772,45397,46100,46774,47456,48135,48821,49486,50253,50999,51736,52504,53255,54052,54798,55557,56368,57135,57973,58713,59566,60317,61169,61973,62772,63634,64419,65252,66131,66982,67790,68635,69475,70329,71219,72117,72997,73876,74739,75644,76512,77350,78275,79260,80192,81202,82152,83157,84143,85102,86101,87179,88289,89361,90460,91523,92593,93669,94754,95800,96943,98116,99273,100469,101672,102888,104098,105358,106584,107874,109104,110395,111750,113126,114511,115863,117219,118652,120052,121512,123084,124531,126066,127566,129046,130587,132130,133709,135332,137009,138714,140328,142033,143737,145510,147181,148954,150751,152517,154289,156129,157926,159713,161567,163395,165265,167204,169194,171098,173069,175022,177010,179120,181248,183422,185700,187813,190030,192316,194594,196908,199389,201936,204460,207019,209629,212416,215168,217993,220694,223502,226299,229234,232180,235196,238203,241432,244585,247859,251117,254373,257860,261233,264668,268129,271737,275390,279005,282827,286629,290504,294359,298209,302088,306151,310378,314395,318669,323028,327462,331879,336371,340984,345781,350428,355197,360128,365142,370168,375276,380497,385998,391314,396660,402182,407674,413143,418709,424517,430278,436152,441995,447965,454099,460275,466454,472697,479060,485508,492035,498697,505497,512412,519471,526401,533472,540730,548014,555500,563094,570899,578823,586709,594787,602777,611115,619382
1,1,1,4,4,5,6,6,6,8,10,10,12,16,21,24,25,25,26,28,32,32,33,37,43,50,57,61,71,77,83,87,94,96,100,107,113,122,132,136,143,154,159,172,178,181,188,201,211,213,225,232,236,242,249,253,260,267,270,277,286,292,300,304,310,316,326,338,347,356,366,383,400,411,424,438,450,459,482,498,518,534,558,578,598,622,647,671,696,727,763,795,837,863,898,936,990,1026,1070,1110,1158,1216,1270,1316,1376,1423,1479,1534,1590,1653,1723,1789,1852,1915,1972,2038,2105,2169,2233,2299,2376,2439,2517,2594,2670,2753,2827,2895,2985,3077,3158,3246,3320,3394,3484,3557,3650,3741,3830,3930,4029,4139,4258,4367,4489,4618,4737,4877,4980,5108,5221,5356,5492,5632,5749,5868,6017,6157,6302,6445,6568,6720,6859,7011,7156,7293,7437,7589,7737,7925,8081,8262,8415,8586,8744,8925,9094,9290,9443,9644,9829,9986,10137,10302,10468,10629,10802,11016,11199,11391,11592,11783,11968,12200,12397,12592,12791,12979,13188,13395,13638,13871,14096,14311,14523,14754,15004,15260,15525,15791,16094,16364,16647,16940,17235,17517,17788,18031,18313,18611,18884,19195,19484,19789,20108,20401,20678,20984,21250,21541,21821,22122,22445,22747,23083,23454,23804,24142,24488,24814,25196,25504,25878,26228,26581,26948,27313,27692,28072,28409,28787,29220,29653,30060,30494,30918,31340,31773,32234,32668,33147,33598,34088,34565,35002,35485,35983,36460,36976,37460,37947,38453,38966,39513,40065,40656,41174,41711,42254,42781,43333,43930,44501,45049,45617,46227,46802,47433,48011,48597,49212,49882,50509,51119,51806,52419,53081,53741,54430,55103,55786,56529,57210,57888,58649,59325,60030,60727,61437,62173,62923,63676,64453,65305,66107,66897,67666,68554,69341,70129,70971,71864,72753,73672,74612,75549,76460,77374,78277,79198,80218,81164,82224,83347,84419,85459,86566,87628,88768,89939,91079,92241,93339,94565,95800,97004,98206,99441,100685,101970,103226,104477,105834,107173,108485,109869,111248,112655,114149,115582,117005,118547,120079,121666,123293,124847,126484,128207,129919,131593,133324,135069,136844,138692,140505,142431,144357,146271,148348,150333,152344,154392,156458,158664,160737,162886,165089,167272,169630,172010,174415,176916,179269,181779,184423,186899,189465,192041,194667,197277,200060,202762,205576,208560,211505,214623,217726,220922,224063,227271,230581,233963,237287,240668,244244,247744,251347,254932,258601,262347,266045,269764,273639,277545,281508,285539,289586,293753,297787,302054,306190,310542,314928,319309,323890,328441,333071,337828,342683,347536,352422,357550,362672,368028,373301,378736,384250,389906,395478,401263,406906,412801,418709,424748,430789,437175,443444,449891,456450,463009,469585,476382,483128,490040,496988,504049,511128,518252,525542,533083,540420,547984,555493,563152,571055,578803,586763,594912,603036,611236,619535,628067,636616,645221,654056,662858,671751,680792,689978,699340,708946,718598,728213,738005,748174,758433,768700
1,1,5,7,8,11,12,13,17,20,24,27,31,38,41,47,56,57,67,72,84,95,105,111,121,131,139,151,163,184,205,221,240,251,270,290,307,325,346,363,386,398,429,459,488,509,533,563,600,637,666,709,735,759,805,848,888,932,976,1021,1066,1105,1146,1177,1223,1263,1311,1342,1389,1428,1474,1515,1548,1582,1625,1677,1725,1762,1808,1845,1894,1932,1976,2017,2048,2086,2135,2184,2220,2254,2290,2333,2365,2403,2448,2479,2520,2573,2633,2668,2727,2782,2842,2894,2948,3005,3068,3134,3204,3277,3328,3415,3475,3551,3616,3698,3764,3826,3891,3978,4043,4117,4186,4269,4348,4422,4498,4588,4686,4756,4842,4937,5020,5105,5210,5290,5367,5468,5544,5629,5707,5785,5853,5947,6021,6095,6183,6266,6342,6424,6506,6567,6648,6734,6816,6912,7017,7103,7164,7247,7358,7435,7530,7623,7735,7859,7957,8061,8172,8289,8420,8561,8690,8820,8940,9055,9190,9323,9458,9589,9749,9876,10023,10186,10331,10465,10637,10769,10945,11080,11249,11414,11549,11681,11831,12000,12139,12291,12449,12605,12747,12895,13043,13202,13350,13494,13677,13824,13980,14134,14296,14452,14625,14783,14927,15099,15285,15447,15611,15797,15968,16148,16341,16529,16725,16912,17102,17265,17461,17636,17809,17985,18155,18315,18505,18699,18905,19094,19284,19496,19711,19933,20113,20327,20547,20756,20948,21136,21331,21528,21729,21991,22236,22509,22726,22979,23189,23439,23666,23921,24149,24377,24595,24821,25070,25318,25568,25800,26011,26265,26491,26705,26966,27211,27460,27688,27924,28218,28446,28685,28937,29176,29431,29661,29915,30161,30414,30657,30898,31148,31409,31697,31965,32238,32503,32766,33046,33328,33595,33884,34204,34466,34772,35052,35361,35647,35985,36307,36638,36975,37310,37642,38011,38363,38710,39062,39405,39742,40111,40466,40823,41207,41585,41964,42325,42703,43126,43509,43911,44329,44721,45101,45465,45880,46295,46679,47077,47465,47849,48272,48692,49098,49442,49825,50257,50679,51071,51445,51878,52286,52742,53192,53592,54003,54422,54827,55260,55701,56172,56653,57109,57577,58029,58517,58986,59494,60005,60513,61046,61559,62082,62629,63173,63760,64331,64862,65456,66050,66642,67255,67907,68537,69159,69758,70356,71026,71696,72360,73051,73763,74481,75230,75948,76722,77479,78212,78954,79732,80495,81247,82034,82842,83712,84523,85333,86191,87095,88004,88855,89675,90606,91550,92545,93464,94430,95402,96369,97349,98347,99367,100400,101484,102510,103624,104692,105762,106890,108004,109122,110351,111502,112688,113907,115121,116338,117594,118843,120093,121402,122687,124020,125387,126723,128046,129459,130858,132315,133768,135313,136864,138383,139949,141538,143176,144815,146496,148303,149987,151621,153441,155387,157275,159199,161117,163095,165067,167031,169058,171075,173128,175297,177442,179615,181845,184109,186459,188719,191136,193484,195966,198370,200853,203334,205865,208495,211166,213885,216602,219418,222298,225256,228146,231140,234071,237094,240214,243411
1,1,1,1,1,1,1,1,2,4,5,6,6,7,7,7,7,8,16,22,23,26,32,40,46,51,60,62,68,74,85,96,108,116,129,134,148,156,168,172,187,191,196,205,211,219,229,237,246,256,267,271,281,290,297,309,324,335,347,367,380,399,422,443,468,488,506,523,543,574,601,634,668,705,744,770,807,839,872,897,930,968,1015,1051,1096,1158,1209,1260,1313,1359,1404,1461,1529,1588,1638,1724,1791,1857,1931,2001,2072,2138,2201,2270,2335,2399,2469,2547,2620,2698,2759,2830,2908,2982,3062,3135,3208,3276,3353,3421,3482,3544,3613,3692,3769,3851,3923,3984,4078,4155,4243,4338,4420,4520,4626,4744,4866,4975,5100,5207,5348,5466,5577,5721,5851,5984,6125,6248,6401,6526,6681,6835,6977,7112,7263,7391,7532,7663,7804,7948,8117,8257,8389,8532,8691,8827,8949,9096,9261,9407,9551,9675,9811,9970,10121,10272,10424,10594,10755,10902,11042,11192,11334,11501,11646,11799,11932,12103,12251,12401,12539,12694,12872,13027,13201,13386,13538,13718,13853,14029,14187,14353,14510,14688,14822,14997,15149,15295,15457,15614,15766,15951,16103,16259,16441,16599,16767,16962,17117,17294,17474,17636,17782,17952,18138,18328,18502,18693,18856,19034,19225,19408,19587,19784,19967,20161,20351,20557,20756,20929,21127,21334,21540,21756,21973,22166,22377,22578,22791,23041,23267,23504,23759,24003,24242,24489,24733,24999,25230,25492,25765,26031,26301,26588,26892,27165,27498,27794,28103,28449,28771,29099,29433,29813,30179,30558,30944,31300,31672,32026,32385,32787,33168,33579,33991,34372,34776,35199,35607,36062,36540,36980,37391,37848,38317,38814,39289,39873,40341,40786,41294,41825,42323,42801,43309,43837,44351,44855,45413,45959,46526,47063,47617,48203,48823,49398,50003,50601,51296,51969,52659,53369,54022,54708,55458,56179,56953,57731,58499,59340,60151,61049,61910,62822,63708,64615,65540,66467,67415,68364,69362,70342,71334,72416,73441,74487,75623,76688,77839,79004,80174,81301,82488,83651,84795,86008,87190,88453,89667,90911,92207,93495,94828,96203,97651,99070,100478,101935,103447,104891,106344,107926,109483,111096,112642,114239,115849,117615,119263,120954,122699,124489,126259,127994,129765,131648,133413,135287,137147,139078,141000,142929,144955,146991,149074,151133,153207,155352,157459,159637,161865,164114,166239,168470,170729,173009,175387,177767,180237,182713,185173,187734,190331,192971,195613,198341,201137,204049,206810,209631,212539,215362,218339,221351,224437,227483,230538,233664,236835,240115,243280,246467,249737,253096,256358,259858,263268,266708,270253,273862,277481,281114,284759,288436,292115,295926,299809,303795,307884,311924,316010,320063,324149,328338,332707,336978,341286,345574,349994,354470,359054,363765,368429,372979,377915,382754,387739,392719,397779,402835,407940,413224,418494,423790,429230,434735,440290,445927,451646,457295,463108,468968,474767,480638,486560,492586,498580,504618,510757,517001,523366,529708,536252,542872,549466,556033,562860
1,1,1,1,1,3,5,6,8,10,10,15,19,21,24,28,33,35,37,43,44,53,62,70,84,93,96,101,112,119,128,137,141,154,164,173,181,189,199,212,217,221,226,232,239,246,257,263,267,273,281,285,290,297,306,315,319,322,327,333,337,346,355,356,359,363,370,378,383,394,406,414,423,432,439,444,450,453,457,465,472,479,484,490,494,504,509,515,522,526,532,542,548,555,559,562,566,570,574,579,583,585,586,587,589,590,593,597,598,601,608,611,613,618,621,625,629,633,638,641,645,654,668,676,685,690,699,706,714,724,739,745,752,773,786,801,818,827,837,845,868,891,908,924,950,965,986,1006,1028,1044,1083,1106,1131,1164,1191,1221,1238,1268,1301,1330,1359,1391,1437,1478,1507,1548,1587,1622,1662,1710,1742,1790,1826,1882,1920,1956,2010,2055,2088,2140,2180,2220,2257,2304,2346,2394,2440,2482,2532,2572,2627,2679,2723,2776,2831,2898,2960,3013,3084,3150,3200,3257,3327,3382,3442,3503,3562,3629,3689,3745,3809,3882,3933,3988,4048,4118,4190,4256,4328,4399,4472,4532,4627,4696,4779,4877,4933,5014,5086,5173,5248,5358,5439,5517,5609,5697,5795,5884,5977,6081,6179,6282,6404,6507,6606,6712,6828,6930,7032,7142,7253,7379,7506,7644,7768,7889,8019,8137,8271,8383,8495,8612,8714,8832,8947,9058,9166,9300,9404,9503,9630,9741,9861,9973,10091,10217,10338,10461,10607,10720,10842,10958,11068,11195,11326,11460,11602,11741,11881,12016,12169,12303,12449,12585,12768,12931,13087,13247,13404,13556,13723,13891,14049,14214,14370,14553,14762,14961,15144,15329,15497,15661,15846,16019,16226,16434,16597,16770,16968,17157,17333,17528,17707,17892,18062,18258,18474,18678,18842,19030,19221,19392,19581,19795,20014,20223,20435,20636,20834,21051,21295,21518,21773,22034,22255,22472,22697,22933,23170,23394,23615,23831,24081,24319,24532,24785,25020,25264,25493,25777,26029,26285,26548,26816,27081,27378,27636,27895,28200,28488,28780,29103,29422,29771,30114,30425,30771,31146,31546,31913,32315,32711,33072,33435,33854,34245,34718,35136,35615,36059,36516,36960,37432,37939,38460,38984,39532,40057,40598,41185,41737,42324,42885,43468,43987,44575,45183,45806,46373,46982,47645,48308,48950,49621,50298,50977,51692,52439,53153,53840,54588,55354,56138,56860,57637,58406,59152,59931,60741,61534,62346,63137,63944,64780,65663,66465,67274,68142,68994,69915,70789,71708,72584,73452,74383,75310,76242,77226,78186,79065,80041,80998,82026,83048,84136,85206,86277,87373,88543,89753,90993,92204,93509,94780,96100,97418,98747,100099,101443,102793,104200,105571,107029,108550,109943,111476,112996,114525,116064,117686,119207,120821,122406,124128,125830,127510,129189,131018,132791,134571,136383,138140,139977,141818,143715,145582,147456
1,1,1,1,1,1,1,3,5,6,8,9,13,13,13,15,15,15,22,25,28,31,38,42,45,51,57,64,69,74,82,94,101,107,118,126,136,145,163,175,185,198,207,219,224,233,246,258,274,286,292,312,334,346,365,381,402,426,444,473,491,510,531,553,582,608,626,654,681,715,748,781,817,852,891,932,976,1017,1070,1110,1149,1211,1283,1338,1392,1435,1480,1531,1586,1648,1698,1741,1797,1853,1909,1960,2029,2102,2187,2267,2335,2400,2463,2536,2603,2676,2752,2815,2894,2991,3061,3116,3194,3281,3368,3454,3552,3663,3779,3891,4001,4092,4207,4317,4432,4557,4670,4783,4908,5016,5133,5243,5359,5478,5601,5726,5876,5997,6144,6264,6406,6550,6696,6839,6960,7091,7233,7396,7543,7680,7810,7963,8136,8287,8456,8638,8795,8960,9118,9279,9461,9658,9873,10076,10267,10481,10676,10855,11086,11298,11533,11755,11996,12236,12478,12687,12903,13150,13413,13674,13941,14203,14483,14761,15017,15281,15572,15873,16201,16542,16891,17250,17594,17936,18346,18749,19143,19585,20038,20488,20901,21335,21807,22254,22693,23224,23656,24106,24595,25101,25606,26144,26675,27237,27795,28367,28914,29477,30013,30590,31193,31760,32349,32969,33588,34154,34743,35331,35952,36576,37231,37881,38542,39155,39816,40487,41149,41813,42468,43127,43776,44409,45052,45688,46428,47102,47779,48472,49156,49858,50577,51347,52070,52834,53614,54351,55072,55848,56666,57499,58373,59192,59990,60833,61674,62517,63360,64209,65100,66002,66983,67887,68808,69728,70655,71650,72677,73642,74696,75718,76771,77825,78890,80018,81163,82388,83499,84681,85893,87144,88390,89620,90872,92152,93504,94873,96280,97680,99066,100466,101887,103382,104891,106412,107938,109510,110984,112509,114107,115584,117299,118869,120536,122230,123987,125742,127525,129319,131143,132999,134941,136895,138846,140772,142782,144859,146905,149065,151309,153565,155816,158170,160459,162866,165289,167758,170246,172707,175319,177914,180674,183319,186093,188832,191612,194483,197378,200239,203259,206194,209195,212157,215208,218301,221485,224691,227799,230999,234364,237551,240891,244188,247646,251089,254545,258014,261639,265303,269049,272667,276501,280337,284112,288098,292025,296025,300087,304168,308274,312511,316726,321064,325390,329920,334286,338732,343300,347776,352278,356914,361638,366388,371077,375968,380869,385955,391049,396124,401329,406626,412048,417419,422809,428360,434103,439780,445554,451282,457217,463383,469421,475665,482045,488677,495206,501863,508459,515277,522088,528852,535912,543056,550213,557627,564998,572422,579869,587475,595260,602913,610823,618596,626649,634807,643014,651376,659737,668305,677058,685876,694764,703972,713073,722421,731775,741110,750843,760714,770599,780763,790949,801160,811703,822110,832687,843457,854356,865393,876544,887739,899223,910635,922212,933880,945653,957802,969945,982289,994758,1007360,1020107,1032910,1045696,1058918,1072192,1085575,1099282,1112859,1126619,1140539,1154439,1168593,1183018,1197494,1212084,1227057,1241860,1256778,1271983,1287242,1302966,1318925,1335027,1351150,1367367,1384003,1400680
1,1,1,2,2,6,6,8,8,9,11,11,11,11,11,11,13,13,13,14,15,18,21,24,29,30,33,35,39,43,48,54,61,64,69,76,86,92,98,102,111,126,135,144,153,160,165,174,183,190,199,212,219,225,232,236,244,253,259,266,274,280,291,307,320,326,335,348,364,385,402,435,449,475,500,530,567,596,629,664,694,725,760,801,838,872,906,938,975,1011,1053,1096,1132,1169,1199,1221,1244,1281,1309,1338,1354,1391,1411,1440,1470,1494,1519,1549,1580,1614,1635,1670,1702,1730,1762,1808,1826,1855,1891,1914,1941,1982,2021,2068,2110,2140,2184,2233,2268,2317,2355,2400,2451,2494,2550,2599,2659,2721,2794,2877,2957,3026,3100,3211,3300,3390,3508,3627,3729,3842,3973,4086,4212,4347,4479,4611,4764,4883,5027,5188,5355,5484,5629,5797,5936,6085,6255,6426,6611,6781,6954,7094,7272,7466,7663,7822,8012,8188,8376,8582,8775,8953,9148,9336,9514,9732,9957,10183,10437,10665,10905,11129,11343,11616,11901,12130,12424,12672,12957,13229,13480,13730,13993,14286,14590,14885,15188,15468,15788,16076,16379,16697,17045,17398,17730,18090,18475,18818,19169,19521,19893,20255,20649,21070,21484,21924,22403,22886,23380,23865,24357,24905,25443,25943,26497,27088,27695,28311,28960,29566,30177,30826,31467,32141,32843,33527,34210,34922,35632,36377,37110,37891,38681,39492,40292,41085,41949,42783,43603,44471,45381,46288,47212,48145,49043,49946,50838,51803,52721,53704,54688,55620,56623,57648,58732,59791,60798,61904,62934,63986,64995,66117,67274,68366,69452,70631,71798,73008,74145,75369,76566,77711,78917,80172,81432,82732,84012,85305,86615,88042,89426,90835,92345,93807,95244,96787,98355,99873,101494,103173,104722,106346,107970,109649,111413,113121,114903,116678,118594,120516,122488,124491,126513,128512,130610,132761,134890,137048,139263,141518,143765,146034,148397,150780,153292,155844,158314,160952,163541,166129,168825,171595,174429,177243,180092,182916,185768,188679,191612,194662,197631,200685,203832,206912,210057,213298,216591,219902,223244,226570,229989,233370,236804,240424,243948,247595,251181,254865,258623,262560,266481,270535,274583,278620,282761,286998,291364,295784,300236,304896,309425,314155,318955,323744,328573,333614,338848,343908,349074,354262,359512,364941,370390,375942,381509,387207,393098,399105,405098,411227,417369,423474,429771,436212,442650,449260,455757,462534,469253,475989,482941,490065,497131,504303,511785,519284,526744,534237,541831,549747,557570,565363,573376,581685,589857,598298,606798,615441,624183,632910,641769,650825,659962,669341,678842,688252,697715,707378,717169,727050,737139,747266,757402,767894,778325,788628,799211,809810,820679,831754,843005,854244,865451,876840,888533,900212,912025,923920,935971,948197,960406,972759,985202,997872,1010790,1023722,1036973,1050261,1063629,1077361,1091128,1105081,1119128,1133214,1147722,1162280,1176812,1191791,1206592,1221828,1237488,1253090,1268830,1284885,1301092,1317625,1334131,1350745,1367626,1385143,1402727,1420547,1438270,1456174,1474547,1492933,1511560
1,1,1,1,1,2,7,9,10,14,18,24,28,34,40,48,54,62,72,80,85,97,109,119,133,146,155,170,183,192,203,216,230,238,246,261,270,279,292,300,315,329,344,357,367,383,397,415,427,453,467,488,505,521,538,556,588,606,640,667,695,717,746,781,806,823,850,873,906,933,974,1010,1047,1078,1115,1170,1225,1270,1306,1359,1409,1454,1500,1554,1602,1652,1712,1771,1827,1868,1903,1954,2011,2070,2123,2185,2227,2284,2337,2399,2444,2493,2541,2599,2644,2705,2773,2836,2878,2938,2997,3069,3137,3200,3271,3324,3400,3486,3573,3651,3739,3826,3903,3978,4061,4170,4261,4358,4437,4526,4656,4750,4858,4962,5076,5198,5317,5442,5569,5673,5784,5910,6037,6160,6296,6446,6586,6716,6846,6971,7117,7246,7396,7544,7665,7803,7935,8074,8225,8377,8522,8695,8869,9057,9215,9366,9560,9714,9862,9998,10153,10341,10504,10733,10935,11154,11338,11555,11756,11988,12221,12447,12681,12919,13182,13399,13697,13990,14255,14539,14835,15121,15423,15731,16057,16403,16689,17041,17373,17690,18021,18402,18718,19061,19392,19733,20083,20421,20777,21125,21475,21837,22175,22542,22896,23307,23688,24097,24490,24907,25342,25729,26180,26571,26977,27473,27925,28352,28815,29289,29786,30315,30840,31362,31891,32447,32968,33541,34112,34656,35232,35819,36442,37050,37625,38209,38796,39406,40101,40740,41386,42025,42707,43372,44076,44760,45455,46220,46903,47647,48356,49120,49896,50620,51413,52256,53059,53824,54633,55449,56286,57127,57963,58820,59777,60760,61682,62614,63583,64548,65547,66552,67618,68592,69664,70741,71861,72973,74083,75279,76471,77641,78833,80000,81273,82510,83771,85098,86394,87674,89017,90338,91675,93032,94394,95789,97237,98746,100231,101686,103278,104783,106324,107922,109540,111150,112834,114546,116248,117955,119650,121467,123272,125120,126952,128839,130675,132569,134510,136543,138568,140531,142486,144520,146596,148704,150853,153077,155163,157376,159636,161946,164216,166447,168807,171209,173566,176049,178483,180985,183510,186047,188630,191143,193812,196477,199178,202059,204862,207790,210643,213643,216692,219739,222831,225903,229200,232395,235627,239029,242370,245841,249458,252867,256394,260015,263714,267309,271099,274977,278853,282638,286510,290565,294457,298524,302605,306690,310902,315115,319460,323786,328322,332721,337143,341844,346643,351393,356325,361147,366008,370995,376180,381360,386702,391999,397554,403129,408677,414439,420205,425970,431803,437789,443778,449885,455948,462159,468430,474902,481304,488052,494772,501764,508687,515788,522903,530150,537488,545036,552687,560258,568154,576078,584016,592084,600097,608419,616620,624876,633485,642118,650874,659608,668376,677246,686285,695221,704156,713388,722709,732241,741807,751583,761397,771480,781493,791689,802172,812718,823386,834201,845041,856075,867089,878375,889859,901363,913074,924818,936772,948995,961335,973728,986337,999020,1011851,1024952,1038089,1051559,1064985,1078572,1092470,1106426,1120561,1134812,1149359,1164157,1178929,1193788,1209013,1224373,1239920,1255662,1271542,1287768,1303736
1,1,1,1,1,1,1,1,3,3,3,5,6,9,12,14,16,19,22,26,31,37,42,51,59,65,70,77,84,87,95,101,113,129,134,138,144,152,165,174,182,193,205,212,224,230,233,245,254,261,271,280,292,297,305,310,316,325,333,345,360,373,385,398,414,427,439,452,464,482,498,520,541,564,595,623,646,665,687,708,735,763,790,813,842,871,894,922,946,967,997,1021,1039,1070,1103,1134,1169,1187,1211,1235,1265,1295,1318,1357,1389,1429,1468,1515,1564,1601,1644,1693,1740,1788,1831,1869,1897,1945,1984,2036,2077,2126,2171,2215,2264,2299,2348,2387,2441,2482,2524,2581,2644,2688,2752,2811,2867,2925,2984,3051,3120,3195,3268,3347,3434,3498,3594,3681,3761,3863,3958,4050,4131,4232,4329,4420,4530,4644,4746,4870,4982,5094,5218,5321,5454,5593,5754,5900,6041,6201,6376,6528,6674,6843,6979,7133,7289,7457,7611,7784,7939,8106,8272,8465,8640,8820,8992,9180,9361,9535,9701,9868,10069,10261,10447,10621,10850,11022,11226,11428,11647,11873,12071,12298,12526,12718,12973,13198,13427,13668,13932,14189,14451,14723,14966,15194,15442,15694,15936,16148,16394,16622,16875,17152,17420,17683,17956,18245,18497,18737,18983,19276,19577,19878,20202,20498,20798,21086,21398,21725,22012,22319,22626,22946,23265,23586,23909,24234,24593,24919,25238,25604,25957,26280,26643,26982,27335,27708,28075,28430,28829,29224,29623,30043,30496,30921,31331,31747,32196,32670,33144,33597,34104,34649,35163,35707,36264,36792,37341,37930,38473,39057,39634,40233,40848,41435,42078,42698,43341,44046,44750,45492,46170,46885,47568,48298,49077,49781,50503,51251,51961,52711,53447,54138,54885,55692,56434,57284,58102,58954,59779,60650,61504,62398,63275,64154,65106,66101,67018,67985,68947,69905,70925,71873,72887,73941,74984,76058,77150,78257,79417,80516,81670,82870,84096,85388,86619,87869,89114,90411,91699,93015,94341,95661,97054,98533,99937,101427,102949,104446,105957,107413,108980,110554,112079,113723,115355,116985,118653,120412,122126,123922,125745,127535,129329,131193,133051,134987,136872,138725,140682,142774,144848,146948,149102,151196,153335,155559,157749,159929,162196,164589,166912,169253,171554,173911,176293,178760,181188,183729,186242,188853,191525,194208,196861,199478,202197,204966,207730,210608,213582,216507,219440,222486,225657,228718,231803,234898,238100,241394,244682,248091,251542,254934,258363,261935,265497,269098,272756,276568,280359,284236,288151,291986,295913,299952,304031,308209,312317,316409,320641,324932,329318,333636,338327,342942,347565,352170,357007,361995,366836,371697,376748,381873,386922,392101,397368,402789,408155,413532,419094,424619,430303,436010,441809,447744,453613,459685,465869,472149,478469,484962,491418,497884,504632,511384,518302,525227,532302,539417,546636,553911,561409,568898,576556,584155,592075,600083,608005,616008,624229,632551,640887,649425,658038,666856,675775,684771,693866,702927,712032,721493,730919,740761,750771,760644,770825
1,1,6,6,8,9,9,12,12,16,20,20,21,22,25,27,30,34,39,46,50,55,64,68,71,75,80,89,103,113,118,125,133,140,150,164,180,186,198,210,216,228,236,242,259,270,281,293,302,312,325,338,346,362,375,395,409,422,438,455,469,483,504,522,540,558,582,608,626,647,676,706,731,753,776,804,835,857,886,929,983,1015,1050,1089,1128,1172,1209,1251,1286,1333,1383,1424,1459,1504,1537,1568,1604,1648,1690,1719,1748,1778,1821,1865,1893,1934,1987,2026,2066,2106,2156,2202,2242,2283,2327,2380,2432,2483,2536,2579,2634,2691,2750,2798,2872,2930,2995,3065,3141,3212,3282,3363,3437,3514,3604,3680,3782,3845,3925,4005,4104,4185,4280,4363,4444,4541,4632,4727,4822,4909,5009,5089,5181,5272,5378,5484,5578,5675,5780,5864,5950,6044,6142,6232,6316,6418,6506,6598,6686,6788,6866,6965,7070,7182,7294,7393,7494,7597,7696,7799,7900,8040,8169,8291,8429,8553,8698,8829,8974,9114,9247,9394,9563,9697,9843,10007,10179,10329,10493,10642,10786,10966,11134,11303,11496,11667,11842,12023,12181,12356,12553,12729,12923,13118,13302,13513,13728,13929,14136,14337,14551,14781,14985,15188,15417,15633,15867,16071,16300,16526,16776,17045,17331,17588,17857,18149,18418,18694,18972,19252,19552,19848,20155,20440,20723,21032,21324,21605,21893,22193,22521,22865,23183,23463,23773,24107,24450,24753,25091,25438,25787,26117,26471,26832,27161,27567,27935,28311,28669,29059,29465,29869,30270,30671,31061,31480,31921,32354,32793,33220,33678,34122,34574,35042,35516,36025,36532,37007,37557,38042,38538,39073,39653,40200,40753,41296,41814,42403,42975,43595,44171,44761,45350,45994,46608,47176,47812,48446,49078,49751,50420,51028,51714,52372,53040,53720,54436,55111,55890,56635,57360,58105,58906,59670,60521,61417,62217,63066,64015,64949,65817,66711,67613,68581,69539,70521,71494,72482,73480,74545,75648,76704,77745,78797,79910,81068,82210,83361,84521,85719,86912,88100,89333,90557,91798,93072,94415,95822,97188,98536,99867,101232,102665,104103,105550,107044,108633,110146,111686,113242,114857,116542,118168,119838,121601,123441,125223,127090,128914,130787,132602,134431,136348,138306,140284,142305,144297,146373,148416,150541,152624,154737,156962,159194,161512,163789,166119,168510,170914,173427,175928,178498,181081,183592,186232,188867,191542,194237,197009,199633,202369,205104,208015,210935,213845,216706,219648,222625,225650,228707,231823,235061,238320,241513,244738,248075,251541,255145,258578,262073,265646,269254,272938,276753,280500,284331,288336,292299,296373,300470,304587,308790,313164,317330,321664,326071,330531,334817,339338,343861,348464,353132,357739,362367,367152,372089,376947,381916,386907,392069,397245,402330,407490,412744,418201,423608,429156,434753,440455,446210,452013,457761,463791,469936,476024,482358,488661,494915,501387,507900,514627,521377,528199,535023,542028,549166,556394,563610,570876,578271,585597,593119,600711,608213,616120,623964,631766
1,1,1,1,1,1,4,6,7,7,8,10,10,12,16,20,25,32,40,47,49,54,58,60,71,78,90,101,107,115,128,137,146,155,167,176,185,192,198,207,216,227,242,251,270,284,300,313,330,357,376,398,418,437,464,499,531,565,592,626,666,703,743,787,830,872,917,966,1016,1085,1144,1210,1259,1314,1380,1435,1508,1566,1621,1698,1749,1806,1860,1929,2001,2061,2111,2174,2226,2270,2332,2393,2435,2490,2550,2601,2659,2714,2773,2814,2868,2906,2959,3004,3045,3094,3134,3174,3215,3257,3292,3327,3384,3437,3491,3544,3592,3646,3704,3749,3816,3880,3934,3991,4051,4102,4190,4254,4336,4422,4505,4584,4664,4753,4838,4931,5023,5104,5196,5287,5394,5500,5606,5717,5830,5944,6050,6145,6250,6346,6443,6544,6637,6727,6829,6922,7009,7100,7192,7304,7393,7485,7599,7713,7819,7926,8032,8153,8258,8395,8507,8618,8761,8896,9025,9168,9302,9465,9612,9777,9957,10152,10293,10446,10614,10789,10959,11149,11317,11500,11690,11860,12037,12206,12374,12555,12741,12922,13134,13355,13556,13761,13955,14183,14392,14607,14829,15045,15282,15513,15766,15990,16217,16443,16689,16929,17171,17403,17698,17976,18288,18532,18800,19076,19400,19707,20013,20324,20634,20945,21254,21584,21927,22234,22552,22886,23237,23578,23956,24304,24644,24983,25368,25719,26096,26460,26823,27170,27524,27896,28265,28642,29012,29403,29807,30217,30637,31072,31527,31980,32429,32884,33376,33854,34316,34818,35309,35841,36362,36878,37374,37919,38453,38998,39565,40145,40708,41300,41932,42529,43093,43742,44348,44986,45626,46305,47031,47775,48489,49210,49885,50618,51342,52099,52858,53586,54339,55093,55842,56631,57435,58222,59011,59779,60552,61373,62217,63068,63879,64725,65583,66479,67310,68150,69004,69879,70769,71707,72602,73519,74447,75428,76403,77394,78403,79421,80501,81583,82651,83772,84853,85967,87126,88284,89503,90734,91980,93206,94470,95736,97023,98316,99617,100988,102407,103777,105208,106644,108112,109510,111033,112528,113998,115522,117015,118543,120076,121643,123281,124857,126485,128096,129770,131441,133193,134954,136808,138597,140371,142134,144017,146006,147950,149991,151950,153958,156094,158254,160421,162581,164735,166973,169155,171360,173661,175968,178306,180711,183071,185446,187977,190496,193051,195568,198199,200841,203471,206151,208874,211798,214652,217528,220426,223317,226242,229316,232390,235453,238703,241860,245122,248442,251741,254991,258401,261827,265424,269119,272784,276405,280221,284036,287992,291848,295779,299725,303814,307912,312160,316247,320538,324894,329408,333908,338475,343026,347624,352400,357172,362101,367082,372138,377241,382235,387307,392544,397850,403353,408945,414584,420232,425940,431847,437845,444025,450126,456190,462487,468745,475195,481735,488433,495252,502027,508901,515894,523028,530246,537490,544845,552192,559760,567342,575040,583002,590877,598833,606839,614914,623326,631812,640270,648966,657479,666241,675109,684051,692832,701849,710771,719924,729401,738847,748433,757832,767536,777486
1,1,1,3,4,5,6,8,12,14,16,16,16,18,18,21,25,29,33,42,44,57,69,75,78,85,94,98,109,124,132,143,147,162,175,180,188,202,214,221,239,250,255,262,270,282,294,312,327,341,354,371,377,391,401,413,427,445,457,467,487,503,515,537,550,562,574,584,593,612,629,647,665,678,687,701,713,725,737,748,766,786,802,819,837,861,894,922,943,971,1012,1038,1068,1089,1131,1179,1218,1256,1308,1353,1412,1454,1510,1557,1610,1656,1714,1771,1832,1887,1949,2010,2081,2146,2206,2278,2339,2402,2474,2542,2610,2684,2751,2830,2914,2988,3075,3155,3248,3331,3406,3479,3555,3651,3737,3814,3907,3988,4071,4153,4250,4350,4474,4594,4704,4831,4952,5087,5221,5350,5471,5612,5758,5922,6073,6243,6419,6557,6723,6904,7069,7247,7438,7610,7796,7998,8206,8411,8620,8822,9015,9228,9426,9656,9847,10056,10304,10539,10771,10988,11215,11457,11678,11937,12198,12454,12729,12961,13246,13527,13835,14102,14351,14589,14851,15124,15427,15739,16023,16324,16586,16900,17200,17490,17758,18070,18391,18701,19041,19356,19709,20047,20396,20754,21102,21463,21859,22233,22625,22967,23389,23783,24164,24552,24976,25353,25751,26174,26590,27055,27474,27915,28344,28801,29265,29714,30184,30631,31073,31528,31967,32443,32900,33408,33926,34398,34892,35390,35915,36453,36970,37502,38028,38560,39059,39613,40171,40759,41335,41979,42605,43258,43907,44561,45226,45927,46659,47369,48162,48910,49721,50486,51294,52116,52928,53717,54530,55348,56232,57107,58033,58974,59886,60786,61670,62609,63552,64486,65480,66470,67442,68451,69494,70487,71528,72617,73719,74858,75976,77061,78208,79355,80494,81679,82855,84055,85271,86512,87757,89049,90329,91636,92951,94313,95618,96932,98295,99731,101159,102644,104104,105601,107106,108623,110138,111704,113302,114917,116551,118213,119973,121677,123355,125064,126841,128579,130356,132230,134048,135905,137907,139885,141777,143774,145766,147758,149797,151844,154003,156210,158439,160600,162941,165225,167528,169878,172141,174626,177210,179732,182255,184848,187432,189979,192704,195544,198294,201033,203943,206770,209722,212767,215745,218840,221951,224977,228155,231352,234580,237817,241131,244515,247788,251171,254582,258077,261553,265118,268777,272424,276109,279820,283767,287615,291544,295464,299474,303599,307737,311884,316093,320308,324797,329116,333522,338056,342625,347296,352176,357101,361957,366806,371964,377090,382312,387562,392789,398103,403486,409006,414494,420096,425769,431392,437070,443020,448949,454970,460972,467086,473377,479700,486181,492833,499389,506130,512968,519895,526888,533973,541211,548433,555888,563370,571135,578808,586474,594478,602313,610366,618475,626630,635014,643382,652006,660816,669578,678433,687529,696604,705694,714932,724463,734034,743924,753862,763956,774125,784334,794471,805017,815519,826631,837662,849039,860244,872039,883542,895119,906998,919225,931554,944028,956483,969121,982104,995056,1008222,1021489,1034920,1048453,1062266,1076444,1090443,1104717,1119094,1133862
1,1,1,2,3,4,4,6,7,9,9,9,9,9,11,17,20,23,27,35,43,47,51,57,62,71,77,90,102,108,118,134,144,152,159,170,183,191,194,201,210,217,221,229,239,251,263,280,286,298,308,314,323,332,343,355,366,381,401,420,435,450,475,494,507,527,540,561,585,608,637,665,692,713,733,761,786,800,831,861,877,909,931,955,989,1012,1042,1071,1097,1121,1150,1179,1214,1254,1292,1322,1359,1405,1444,1486,1520,1569,1611,1655,1693,1737,1782,1834,1876,1916,1958,2010,2070,2116,2161,2199,2254,2298,2345,2383,2442,2496,2545,2589,2660,2700,2748,2802,2850,2904,2966,3030,3081,3145,3216,3277,3353,3423,3495,3577,3653,3723,3801,3873,3965,4028,4102,4174,4261,4340,4425,4533,4621,4693,4777,4857,4954,5053,5131,5235,5334,5437,5543,5640,5755,5864,5965,6055,6145,6262,6380,6490,6598,6719,6830,6949,7053,7189,7314,7431,7521,7616,7724,7825,7939,8053,8159,8281,8403,8527,8635,8747,8878,9008,9130,9260,9399,9548,9664,9817,9972,10137,10283,10438,10612,10780,10973,11136,11330,11515,11714,11913,12108,12325,12546,12773,12999,13198,13407,13629,13838,14070,14312,14551,14827,15087,15358,15621,15902,16165,16445,16732,17005,17291,17582,17905,18231,18517,18823,19170,19503,19809,20150,20495,20821,21173,21525,21858,22218,22566,22926,23283,23694,24078,24493,24873,25264,25686,26118,26505,26953,27393,27851,28281,28728,29177,29652,30124,30632,31084,31544,32049,32598,33150,33683,34226,34745,35249,35829,36404,36957,37555,38139,38754,39382,40051,40676,41296,41949,42629,43328,44007,44720,45447,46175,46943,47663,48421,49209,50002,50836,51691,52557,53428,54239,55080,56017,56907,57860,58762,59760,60675,61655,62658,63666,64682,65728,66758,67773,68863,69956,70999,72092,73200,74369,75522,76727,77863,79010,80256,81386,82588,83749,84914,86117,87366,88685,89956,91253,92549,93852,95227,96557,97943,99340,100798,102232,103665,105119,106628,108185,109807,111390,113047,114660,116365,118039,119784,121505,123240,125072,126955,128786,130626,132562,134549,136496,138419,140420,142342,144363,146463,148599,150627,152763,154952,157107,159261,161427,163577,165820,168097,170353,172710,175010,177354,179850,182338,184808,187390,189900,192514,195139,197801,200404,203033,205680,208364,211073,213878,216690,219597,222416,225492,228373,231426,234450,237558,240699,243930,247142,250417,253759,257119,260455,263938,267452,271036,274777,278573,282400,286149,289965,293877,297869,301978,306040,310173,314414,318697,323104,327697,332237,336836,341466,346254,351069,355953,360994,365974,371029,376258,381519,386875,392273,397739,403344,408909,414593,420311,426135,431942,437895,443929,449927,456081,462218,468540,475000,481458,487974,494521,501026,507731,514523,521263,528126,535261,542372,549501,556824,564181,571610,579169,586746,594571,602477,610552,618496,626721,634958,643438,651983,660639,669317,678320,687395,696600,705780,715314,724754,734552,744550,754763,765090,775358,785697
1,1,1,1,1,4,6,9,9,11,12,14,17,18,19,25,31,36,37,43,50,57,61,67,69,71,78,86,95,108,117,126,138,143,155,166,171,177,186,197,211,224,233,251,261,272,281,294,307,314,325,341,355,366,378,395,408,423,443,453,469,478,501,520,540,563,591,615,630,655,676,695,716,741,759,789,811,844,878,911,950,973,1008,1043,1093,1138,1177,1228,1271,1318,1377,1435,1492,1547,1602,1657,1714,1772,1835,1898,1956,2022,2089,2147,2219,2288,2361,2435,2498,2566,2632,2704,2775,2846,2935,3020,3119,3210,3318,3407,3505,3590,3686,3776,3875,3988,4068,4166,4274,4373,4472,4590,4681,4798,4900,5019,5132,5226,5320,5413,5518,5635,5738,5853,5950,6039,6139,6238,6343,6464,6576,6703,6832,6965,7076,7214,7331,7460,7590,7739,7865,8016,8157,8286,8429,8596,8755,8928,9081,9230,9398,9554,9706,9893,10078,10236,10411,10593,10765,10938,11105,11293,11474,11671,11845,12047,12234,12440,12620,12799,12996,13203,13401,13599,13807,14038,14257,14499,14709,14915,15157,15371,15569,15797,15992,16218,16432,16640,16858,17091,17360,17596,17813,18045,18303,18583,18849,19105,19393,19710,20000,20282,20595,20939,21250,21600,21967,22289,22639,22991,23379,23804,24182,24596,25000,25391,25839,26276,26718,27132,27576,28003,28473,28932,29393,29879,30363,30890,31373,31843,32355,32849,33336,33852,34379,34891,35431,35967,36571,37134,37726,38306,38910,39545,40143,40754,41419,42106,42804,43516,44242,44976,45753,46540,47347,48129,48943,49748,50591,51463,52370,53259,54174,55071,56070,57052,58048,59043,60021,61141,62200,63240,64349,65457,66564,67750,68893,70004,71126,72327,73501,74754,75919,77172,78477,79806,81138,82451,83792,85085,86453,87804,89294,90732,92169,93622,95229,96845,98410,100042,101678,103413,105154,106876,108712,110481,112263,114157,116023,117898,119790,121754,123694,125736,127715,129752,131746,133799,135932,138022,140199,142293,144475,146707,148911,151128,153463,155778,158052,160467,162835,165294,167629,170088,172540,174972,177395,179951,182492,184990,187659,190333,192949,195628,198214,200918,203707,206479,209193,211961,214808,217718,220628,223600,226529,229484,232491,235653,238800,242021,245251,248387,251644,254991,258384,261816,265237,268784,272255,275810,279476,283059,286675,290263,294007,297749,301423,305305,309236,313123,317138,321102,325232,329369,333555,337746,341924,346202,350626,355080,359577,364068,368666,373450,378183,382927,387767,392726,397756,402975,408085,413346,418834,424153,429761,435428,441080,446846,452744,458539,464627,470594,476811,483185,489439,495924,502453,509093,515768,522354,529182,535986,542860,549819,556751,563878,570997,578247,585489,592907,600321,607827,615309,622815,630496,638396,646467,654472,662529,670739,679044,687709,696311,704801,713352,722327,731382,740428,749537,758845,768213,777744,787460,797383,807265,817387,827611,838000,848367,858892,869603,880414,891606,902653,913844,925174,936600,948168,959889,971760,983813,995966,1008366,1020858,1033591,1046411,1059385
1,1,1,1,2,3,5,5,7,7,7,9,11,13,20,26,28,32,37,41,49,55,65,74,84,90,100,115,131,156,178,194,214,238,254,274,303,318,339,351,372,390,412,431,448,473,490,507,531,556,569,586,605,625,641,656,675,697,723,742,763,790,810,825,845,877,901,914,931,954,968,990,1007,1027,1046,1062,1098,1121,1158,1185,1213,1237,1267,1289,1313,1332,1366,1388,1416,1446,1478,1513,1540,1574,1608,1640,1685,1713,1752,1780,1809,1837,1875,1919,1956,1987,2025,2058,2085,2120,2168,2212,2263,2313,2350,2386,2419,2456,2498,2539,2592,2636,2678,2728,2767,2825,2867,2905,2955,3011,3066,3121,3188,3251,3315,3382,3444,3503,3574,3641,3714,3783,3859,3937,4011,4093,4172,4259,4340,4430,4491,4566,4663,4746,4831,4926,4992,5078,5168,5241,5325,5408,5489,5572,5683,5795,5903,6006,6104,6204,6315,6409,6515,6610,6715,6817,6905,7019,7128,7228,7365,7485,7613,7732,7856,7995,8135,8282,8408,8519,8648,8779,8912,9061,9204,9331,9501,9645,9781,9927,10085,10233,10366,10523,10686,10857,11013,11162,11324,11481,11641,11819,11981,12143,12322,12520,12704,12879,13040,13255,13466,13673,13871,14070,14279,14492,14711,14937,15152,15387,15619,15885,16132,16417,16658,16910,17165,17388,17673,17953,18221,18500,18776,19064,19350,19650,19948,20274,20601,20940,21292,21661,22020,22367,22710,23077,23432,23829,24277,24685,25116,25548,25990,26469,26964,27408,27904,28425,28912,29450,29971,30537,31076,31621,32156,32760,33327,33919,34508,35098,35659,36313,36968,37602,38279,38902,39540,40181,40865,41557,42187,42904,43614,44344,45081,45795,46553,47331,48087,48886,49695,50470,51264,52072,52860,53712,54533,55393,56295,57119,57991,58939,59847,60815,61769,62737,63675,64669,65660,66652,67593,68672,69765,70844,71913,72948,74018,75115,76285,77428,78602,79799,81037,82291,83450,84646,85930,87239,88573,89899,91237,92572,93905,95269,96612,98009,99416,100920,102366,103801,105198,106730,108243,109728,111259,112854,114498,116135,117859,119605,121341,123072,124825,126585,128384,130148,132022,133951,135877,137791,139749,141760,143699,145707,147708,149686,151782,153829,155960,158110,160125,162199,164349,166479,168738,171014,173319,175655,177914,180284,182665,185118,187567,190073,192632,195270,197952,200663,203405,206102,208944,211881,214711,217662,220549,223583,226581,229596,232805,235857,239080,242408,245668,248941,252328,255666,258957,262469,265853,269291,272881,276509,280202,283834,287478,291275,295042,298785,302563,306356,310327,314386,318391,322480,326518,330775,335104,339346,343680,348072,352498,357065,361662,366437,371292,376147,381026,385948,390973,396145,401279,406517,411793,417193,422694,428348,433920,439633,445353,451223,457188,463069,469175,475269,481487,487697,494222,500698,507117,513680,520374,527081,534138,541060,548270,555478,562864,570167,577587,584955,592466,600024,607640,615382,623122,631263,639396,647676,656115,664712,673362,682176,690954,699828,708827,718313,727908
1,1,3,4,4,4,4,8,10,11,15,17,18,21,21,22,22,22,22,27,29,33,34,40,47,53,57,65,73,80,86,94,101,106,115,120,126,131,140,153,160,168,176,181,189,194,203,210,218,225,236,241,249,256,262,271,282,291,298,306,311,322,342,351,366,375,383,397,414,431,453,477,498,518,546,573,607,636,660,695,737,770,802,840,872,911,941,991,1050,1094,1136,1177,1227,1273,1317,1355,1403,1458,1505,1549,1591,1646,1724,1791,1844,1902,1968,2029,2094,2174,2239,2302,2377,2443,2517,2581,2644,2699,2763,2838,2902,2974,3054,3133,3197,3266,3345,3421,3503,3578,3661,3733,3790,3883,3953,4042,4127,4214,4285,4377,4463,4564,4667,4757,4857,4962,5059,5164,5275,5377,5508,5639,5759,5889,5986,6090,6206,6331,6467,6580,6711,6837,6960,7105,7235,7388,7541,7695,7836,8001,8169,8330,8494,8667,8829,8999,9196,9370,9553,9730,9931,10141,10337,10547,10769,10965,11170,11361,11584,11822,12051,12267,12529,12781,13014,13265,13475,13743,13996,14209,14463,14703,14955,15217,15467,15697,15919,16172,16429,16720,16995,17264,17525,17812,18089,18369,18642,18970,19241,19572,19890,20213,20536,20898,21226,21565,21920,22320,22711,23090,23548,23963,24402,24849,25317,25738,26198,26666,27098,27601,28125,28612,29115,29636,30160,30680,31225,31730,32308,32852,33390,33978,34573,35150,35766,36352,36913,37545,38156,38748,39362,39999,40617,41297,41939,42617,43243,43878,44594,45218,45884,46582,47271,47971,48684,49427,50163,50931,51761,52522,53323,54115,54907,55712,56543,57420,58226,59104,59993,60890,61783,62700,63579,64584,65558,66488,67433,68402,69361,70305,71281,72273,73275,74287,75324,76381,77517,78550,79612,80654,81767,82878,83983,85151,86351,87515,88719,89897,91083,92351,93569,94854,96141,97420,98753,100140,101498,102889,104291,105760,107258,108706,110291,111779,113357,114929,116510,118087,119707,121329,123092,124801,126479,128155,129858,131650,133451,135196,137028,138976,140793,142679,144546,146499,148457,150453,152425,154367,156489,158653,160757,162888,165049,167285,169643,171913,174315,176698,179128,181568,183996,186569,189205,191847,194507,197297,199964,202836,205711,208635,211605,214518,217613,220635,223693,226903,229955,233079,236229,239426,242795,246054,249510,252941,256427,259988,263476,267145,270946,274795,278538,282544,286386,290316,294398,298653,302844,307202,311556,315911,320415,324995,329613,334282,339029,343820,348655,353635,358677,363819,369065,374357,379771,385297,390755,396202,401649,407190,412850,418619,424589,430857,436987,443225,449559,455972,462593,469131,475735,482368,489188,496013,502955,509936,517091,524339,531682,539197,546694,554452,562130,569909,577928,585872,593992,602174,610511,618934,627553,636475,645331,654166,663155,672223,681436,690752,700204,709639,719263,729203,739077,749231,759317,769548,779956,790518,801373,812210,822963,833986,845149,856462,867955,879618,891315,903148,915009,927083,939452,951916,964359,977225,990202,1003272,1016611,1030082,1043743
1,1,1,1,2,2,2,4,4,7,9,11,12,15,19,22,23,30,35,38,43,48,54,57,63,79,91,100,119,127,140,152,168,184,198,215,234,249,275,294,316,330,351,379,404,430,456,475,501,532,561,591,636,674,703,741,784,813,854,886,913,957,992,1052,1087,1145,1191,1243,1294,1339,1378,1421,1477,1524,1574,1631,1667,1726,1773,1821,1867,1901,1954,1985,2040,2084,2126,2160,2198,2229,2265,2295,2332,2365,2401,2426,2455,2483,2512,2530,2561,2593,2613,2645,2674,2716,2742,2771,2801,2832,2858,2879,2910,2951,2992,3037,3065,3091,3124,3144,3179,3201,3227,3247,3265,3284,3302,3322,3343,3363,3385,3408,3433,3450,3469,3485,3501,3516,3531,3550,3562,3579,3597,3612,3620,3636,3647,3659,3674,3688,3698,3713,3733,3746,3760,3782,3795,3808,3820,3833,3852,3866,3880,3902,3927,3946,3965,3994,4014,4034,4054,4087,4115,4146,4183,4209,4244,4267,4291,4315,4347,4375,4409,4435,4461,4491,4524,4565,4594,4615,4645,4679,4723,4766,4801,4840,4890,4938,4982,5035,5083,5141,5187,5262,5336,5406,5478,5538,5610,5692,5765,5830,5901,5976,6066,6148,6225,6283,6346,6439,6517,6596,6682,6774,6857,6943,7033,7116,7203,7278,7362,7452,7549,7644,7745,7848,7934,8055,8173,8276,8359,8462,8551,8658,8752,8840,8936,9041,9115,9215,9299,9385,9470,9570,9659,9771,9866,9951,10048,10140,10238,10321,10435,10524,10639,10745,10858,10984,11101,11222,11372,11525,11652,11802,11948,12107,12278,12425,12609,12784,12961,13141,13335,13541,13714,13934,14125,14325,14559,14792,15013,15250,15463,15668,15867,16063,16280,16480,16705,16909,17121,17315,17515,17721,17925,18143,18350,18568,18785,19041,19284,19511,19739,19986,20248,20530,20788,21029,21309,21605,21916,22233,22536,22824,23124,23450,23759,24059,24393,24721,25051,25370,25682,26014,26365,26734,27125,27498,27847,28256,28687,29080,29461,29850,30263,30704,31137,31552,31980,32425,32906,33399,33876,34369,34841,35324,35828,36363,36933,37461,38014,38616,39167,39731,40357,40982,41593,42261,42940,43603,44233,44915,45623,46284,46983,47745,48518,49291,50064,50853,51672,52520,53309,54113,54991,55833,56739,57563,58534,59493,60400,61320,62305,63299,64314,65309,66321,67360,68375,69368,70416,71455,72496,73551,74700,75808,76997,78163,79192,80346,81516,82665,83843,85002,86237,87500,88775,90015,91334,92620,93966,95327,96713,98109,99507,100977,102454,103945,105441,107022,108612,110147,111703,113226,114807,116553,118167,119821,121599,123357,125076,126915,128745,130465,132385,134283,136222,138180,140180,142154,144218,146297,148398,150563,152713,154849,157015,159248,161436,163711,165898,168167,170475,172747,175156,177616,180013,182445,184911,187425,189884,192511,195093,197766,200520,203280,206008,208737,211499,214228,217122,220074,223082,226095,229138,232162,235287,238401,241598,244779,248014,251261,254570,257994,261328,264802,268223
1,1,1,5,8,12,12,15,16,22,24,28,31,35,44,46,46,48,52,59,64,69,76,83,89,99,108,123,131,138,148,163,173,181,188,194,202,206,215,227,230,233,238,240,247,248,252,256,263,271,275,281,284,289,296,299,302,303,307,317,322,333,341,344,347,349,356,362,367,374,380,388,399,405,417,427,432,438,450,466,479,489,502,512,523,540,555,573,590,605,618,638,653,670,685,707,723,744,772,796,820,840,873,897,921,953,982,1009,1045,1080,1117,1145,1188,1220,1252,1285,1324,1373,1422,1462,1513,1564,1610,1659,1713,1762,1831,1907,1976,2040,2119,2184,2254,2331,2411,2506,2607,2683,2767,2866,2974,3075,3169,3260,3360,3463,3567,3694,3819,3942,4055,4159,4272,4378,4471,4567,4682,4781,4872,4990,5108,5207,5314,5425,5550,5689,5796,5912,6016,6149,6270,6391,6520,6652,6781,6916,7054,7166,7287,7410,7547,7697,7833,7973,8148,8294,8447,8612,8757,8923,9068,9252,9417,9574,9757,9960,10132,10313,10493,10668,10880,11091,11307,11488,11661,11878,12081,12288,12513,12709,12926,13162,13366,13589,13824,14046,14302,14566,14815,15101,15377,15667,15945,16271,16546,16876,17163,17479,17812,18151,18501,18823,19183,19560,19942,20325,20704,21100,21482,21872,22262,22626,23037,23463,23886,24298,24710,25179,25611,26079,26550,26998,27432,27936,28399,28869,29340,29851,30390,30905,31426,31935,32455,33013,33620,34229,34806,35377,35964,36578,37156,37785,38414,39038,39693,40350,41056,41757,42413,43114,43796,44528,45237,45992,46806,47587,48364,49212,50011,50823,51664,52492,53312,54142,55026,55917,56808,57744,58674,59655,60644,61557,62476,63405,64363,65427,66483,67497,68518,69596,70654,71779,72936,74051,75291,76463,77612,78821,79984,81247,82485,83844,85156,86533,87944,89354,90764,92178,93663,95136,96657,98203,99759,101337,102952,104579,106316,108015,109772,111575,113296,115071,116898,118822,120764,122806,124757,126837,128868,130994,133138,135349,137610,139881,142200,144430,146776,149101,151458,153872,156313,158873,161382,163902,166535,169156,171869,174621,177479,180291,183189,186041,188940,191949,195102,198182,201303,204420,207514,210856,214136,217423,220867,224309,227744,231331,234917,238580,242470,246199,250029,253819,257698,261807,265869,269960,274185,278347,282613,286994,291351,295883,300472,305004,309755,314545,319289,324185,329000,334003,338888,343965,349073,354190,359374,364876,370334,375956,381537,387093,392727,398606,404499,410493,416518,422691,429001,435168,441493,447805,454304,460845,467531,474047,480715,487447,494288,501343,508256,515372,522548,529776,537153,544450,551881,559422,567288,575011,582809,590635,598684,606768,614981,623222,631621,640283,648804,657558,666244,675037,684149,693195,702506,711958,721342,730745,740366,750294,760086,769945,780074,790378,800655,811029,821525,832257,843179,854060,864921,876286,887467,898892,910367,922131,933798,945772,957881,970145,982614,995047,1007928,1020891,1034075,1047302,1060774,1074267,1087987
1,1,1,1,1,5,6,7,9,9,9,11,13,14,15,17,20,23,25,28,35,38,43,51,56,59,67,75,87,90,97,101,112,130,141,150,160,164,169,180,190,198,202,208,215,220,223,234,241,250,266,276,287,297,312,323,330,340,354,365,377,394,419,445,475,508,530,564,596,627,657,689,717,756,794,850,897,946,997,1060,1119,1176,1231,1273,1326,1381,1439,1502,1545,1608,1655,1724,1791,1843,1904,1968,2026,2085,2159,2215,2283,2351,2426,2497,2563,2640,2713,2798,2865,2937,3017,3099,3183,3266,3340,3440,3526,3601,3680,3771,3859,3962,4054,4145,4244,4330,4426,4527,4626,4767,4885,5009,5112,5226,5334,5461,5592,5715,5841,5984,6113,6257,6401,6553,6697,6862,7025,7195,7363,7532,7698,7883,8082,8250,8446,8662,8859,9045,9237,9455,9685,9905,10153,10356,10597,10838,11059,11314,11592,11833,12082,12339,12575,12867,13183,13444,13744,14018,14291,14586,14912,15220,15538,15848,16171,16511,16854,17199,17578,17977,18390,18764,19172,19616,20023,20441,20875,21351,21813,22266,22717,23164,23633,24125,24620,25093,25626,26121,26622,27140,27653,28118,28609,29109,29653,30159,30709,31226,31783,32329,32856,33404,33944,34534,35109,35638,36162,36759,37352,37928,38549,39133,39786,40412,41092,41715,42409,43079,43756,44477,45205,45959,46651,47452,48178,48943,49689,50485,51277,52053,52854,53712,54587,55468,56323,57179,57989,58909,59870,60830,61827,62862,63912,64932,65977,67081,68225,69317,70431,71633,72822,74052,75321,76513,77740,79009,80278,81609,82960,84371,85798,87292,88751,90211,91685,93259,94763,96311,97869,99513,101145,102801,104471,106173,107909,109702,111473,113280,115045,116863,118710,120614,122512,124493,126539,128503,130515,132628,134668,136810,139008,141321,143595,145913,148306,150733,153173,155671,158165,160727,163307,166019,168690,171471,174214,176963,179809,182652,185559,188568,191560,194609,197731,200890,204045,207400,210655,213960,217273,220697,224071,227472,231007,234580,238217,241902,245573,249397,253147,256946,260967,264957,268992,273128,277260,281500,285752,290115,294537,298957,303404,308105,312912,317588,322451,327323,332328,337526,342660,347840,353103,358403,363756,369132,374561,380247,385922,391608,397325,402973,408889,414852,420911,427085,433359,439709,446185,452655,459232,465797,472566,479412,486313,493260,500198,507305,514586,521971,529403,537026,544807,552564,560393,568202,576141,584196,592517,600824,609240,617659,626315,634998,643703,652840,662055,671520,680789,690335,700033,709839,719564,729740,739833,750024,760290,770715,781431,792266,803103,814119,825349,836502,847938,859397,871051,882949,894942,906904,919197,931415,943816,956405,969209,982007,995042,1008448,1021870,1035283,1048967,1062996,1076914,1091016,1105092,1119386,1134014,1148568,1163284,1178146,1192996,1208284,1223448,1238861,1254728,1270393,1286272,1302318,1318433,1334802,1351453,1368132,1385219,1402359,1419748,1437278,1454902,1472740,1490751,1508968,1527506,1546177,1565081,1584178,1603129,1622739,1642753,1662672,1682781,1703074,1723329,1743831,1764548,1785314,1806307,1827913,1849466,1871255,1893174
1,1,1,1,1,4,6,8,9,11,12,13,13,13,20,21,21,27,30,32,35,38,43,45,51,56,58,64,66,70,79,84,91,102,112,114,121,125,132,135,146,154,161,169,177,184,192,199,205,214,221,223,226,237,242,253,258,264,274,277,285,301,311,318,328,335,349,361,375,386,400,418,431,445,463,487,500,522,538,563,591,626,651,688,718,746,778,821,847,887,931,969,1009,1062,1112,1161,1212,1267,1336,1382,1448,1523,1597,1659,1722,1790,1864,1919,1986,2055,2117,2195,2257,2335,2403,2478,2539,2620,2693,2761,2837,2902,3000,3066,3121,3195,3267,3356,3435,3513,3584,3684,3768,3852,3920,3990,4067,4171,4267,4352,4444,4534,4612,4712,4806,4904,4984,5065,5158,5252,5338,5418,5521,5641,5774,5867,5982,6111,6215,6327,6436,6549,6689,6799,6906,7029,7148,7267,7383,7505,7632,7767,7878,7998,8126,8256,8385,8525,8661,8792,8943,9108,9265,9441,9607,9777,9933,10100,10280,10457,10669,10848,11059,11271,11481,11699,11897,12099,12305,12559,12796,13042,13282,13514,13777,14048,14279,14539,14830,15124,15399,15716,16026,16350,16660,16998,17351,17685,18024,18381,18699,19090,19471,19844,20213,20568,20960,21333,21721,22086,22447,22855,23241,23632,24060,24481,24892,25301,25687,26141,26573,26982,27423,27853,28343,28804,29280,29766,30239,30761,31271,31808,32328,32849,33411,33950,34494,35073,35694,36317,36974,37550,38210,38839,39468,40085,40745,41380,42032,42706,43370,44049,44737,45470,46193,46942,47711,48466,49215,50004,50803,51547,52348,53152,54029,54796,55635,56514,57455,58347,59236,60163,61118,62035,62993,63951,64953,65921,66952,68050,69074,70124,71233,72323,73398,74472,75618,76677,77823,79030,80159,81374,82522,83766,85033,86284,87527,88830,90077,91367,92620,93965,95353,96701,98152,99625,101037,102557,104063,105551,107130,108728,110319,112023,113767,115456,117229,119043,120875,122729,124742,126637,128635,130702,132658,134713,136802,138882,141090,143314,145489,147727,149989,152358,154748,157086,159505,161888,164329,166779,169310,171837,174332,176924,179523,182151,184822,187559,190375,193237,196094,198833,201716,204504,207523,210559,213591,216687,219802,222975,226170,229409,232684,236118,239474,242926,246485,249968,253574,257194,260880,264669,268489,272350,276151,280101,284134,287949,291907,296132,300322,304701,309013,313339,317710,322144,326687,331286,335907,340620,345252,349877,354693,359671,364667,369805,375028,380192,385417,390718,396179,401802,407370,413056,418773,424456,430359,436399,442424,448569,454971,461111,467475,473891,480496,487061,493647,500447,507287,514183,520977,527987,535136,542348,549623,557007,564342,571877,579335,586921,594778,602699,610650,618707,627094,635464,643973,652481,661107,669646,678614,687610,696553,705920,715411,724920,734651,744320,754468,764568,774669,785079,795575,805957,816641,827351,838348,849287,860336,871501,882965,894442,906032,917633,929439,941453,953419,965659,978059,990617,1003565,1016492,1029437,1042967,1056128,1069739,1083530
1,1,1,2,3,5,5,6,6,8,8,8,8,8,8,9,11,15,19,20,21,22,25,30,38,47,52,59,66,74,89,98,105,115,123,139,155,163,174,190,207,222,234,247,267,282,300,320,349,372,389,404,424,447,476,506,532,551,574,612,639,676,701,733,776,813,840,876,905,925,948,972,1006,1045,1080,1129,1173,1219,1264,1307,1350,1401,1446,1496,1542,1599,1646,1714,1780,1840,1906,1975,2031,2113,2208,2301,2389,2481,2571,2670,2761,2831,2934,3025,3140,3263,3377,3490,3621,3739,3847,3991,4114,4263,4389,4530,4657,4793,4937,5089,5254,5415,5555,5714,5876,6043,6196,6351,6522,6656,6809,7001,7172,7318,7494,7670,7822,8015,8192,8378,8564,8732,8884,9054,9214,9410,9583,9761,9927,10088,10263,10446,10626,10824,11010,11202,11376,11565,11783,11976,12189,12361,12534,12758,12984,13249,13473,13690,13929,14159,14422,14649,14892,15159,15411,15698,15949,16222,16507,16808,17112,17422,17704,18032,18365,18708,19057,19435,19777,20162,20534,20902,21310,21700,22090,22506,22913,23315,23721,24151,24603,25076,25559,26036,26480,26949,27413,27905,28455,28926,29429,29979,30470,30993,31526,32108,32728,33319,33912,34441,35029,35666,36273,36926,37593,38290,38964,39665,40375,41082,41812,42551,43293,44075,44830,45621,46444,47251,48135,48955,49804,50702,51566,52428,53344,54280,55242,56223,57216,58181,59190,60174,61256,62322,63380,64473,65526,66650,67786,68904,70016,71208,72419,73592,74758,76013,77266,78474,79754,81033,82319,83679,85037,86377,87740,89182,90661,92086,93554,95049,96528,98164,99764,101332,102890,104565,106169,107730,109344,111051,112783,114518,116258,118001,119780,121564,123425,125271,127113,128950,130762,132701,134746,136747,138756,140794,142930,145138,147367,149635,151820,154250,156538,158928,161326,163792,166373,168922,171550,174201,176888,179719,182462,185287,188142,191035,194051,197029,200069,203049,206138,209179,212256,215455,218682,221970,225204,228479,231825,235303,238771,242264,245828,249329,252911,256504,260180,263953,267733,271518,275324,279240,283184,287116,291195,295364,299412,303640,307944,312245,316608,320918,325476,330021,334606,339114,343876,348598,353347,358213,363172,368155,373136,378149,383370,388558,393984,399254,404630,410266,415623,421211,426953,432709,438607,444371,450357,456508,462722,468888,475007,481094,487338,493650,500043,506615,513217,519944,526799,533629,540620,547658,554730,561933,569129,576512,583946,591431,598958,606579,614247,622241,630200,638336,646749,655148,663643,672129,680679,689447,698347,707242,716393,725691,734933,744451,753903,763412,773268,783051,793085,803201,813356,823838,834303,844824,855437,866192,877230,888409,899525,910924,922204,933646,945302,956915,968736,980461,992492,1004767,1017238,1029781,1042242,1054901,1067594,1080630,1093745,1107218,1120676,1134290,1147974,1161970,1176083,1190408,1204929,1219457,1234118,1249449,1264661,1280091,1295756,1311486,1327425,1343532,1359640,1376016,1392709,1409785,1427080,1444407,1461859,1479667,1497475,1515690,1533875,1552585,1571449,1590249,1609301,1628698,1648108,1667699,1687751,1707813,1727798,1748160,1768513
1,1,1,1,1,1,2,4,4,5,5,5,6,6,6,9,11,13,13,17,20,22,25,37,45,55,59,68,77,87,95,101,110,116,121,142,151,159,170,179,189,193,201,211,220,229,233,237,244,257,264,276,289,300,307,314,322,331,343,353,365,371,387,399,412,423,439,452,471,484,506,526,552,568,583,602,617,639,664,680,705,723,751,779,806,836,859,887,924,956,991,1011,1049,1076,1100,1132,1157,1192,1227,1259,1300,1335,1364,1400,1426,1464,1511,1549,1581,1623,1656,1688,1730,1772,1803,1838,1879,1922,1978,2024,2073,2119,2156,2201,2253,2310,2364,2417,2475,2537,2586,2636,2688,2746,2811,2878,2942,3003,3063,3111,3191,3254,3323,3381,3448,3523,3585,3656,3718,3781,3849,3910,3967,4029,4086,4145,4215,4267,4318,4385,4451,4518,4586,4659,4734,4797,4850,4913,4971,5052,5117,5195,5266,5342,5408,5474,5555,5632,5706,5805,5880,5994,6093,6180,6288,6391,6505,6612,6710,6819,6946,7073,7193,7339,7488,7611,7741,7868,7992,8126,8254,8392,8514,8667,8812,8967,9117,9249,9414,9580,9750,9927,10110,10271,10443,10625,10821,11030,11188,11378,11579,11766,11965,12143,12316,12499,12714,12936,13122,13348,13588,13820,14052,14313,14524,14775,15007,15242,15524,15797,16034,16289,16557,16840,17097,17281,17560,17855,18140,18442,18716,19031,19332,19619,19948,20286,20588,20935,21226,21546,21909,22226,22540,22869,23217,23589,23965,24335,24693,25077,25460,25837,26228,26612,26998,27383,27775,28168,28620,29062,29524,29994,30451,30886,31342,31849,32330,32849,33353,33857,34352,34897,35458,36013,36617,37245,37841,38446,39052,39682,40365,40997,41650,42340,43000,43700,44333,45033,45721,46410,47139,47886,48590,49387,50194,50988,51746,52568,53386,54193,54997,55801,56615,57469,58354,59217,60102,60946,61874,62720,63604,64509,65412,66379,67311,68338,69357,70402,71429,72473,73505,74561,75715,76782,77937,79065,80290,81533,82802,83987,85205,86485,87772,89043,90349,91639,92987,94312,95741,97193,98597,100037,101546,103020,104509,106021,107556,109135,110748,112384,113986,115587,117331,119032,120710,122487,124270,125992,127778,129610,131490,133369,135303,137264,139202,141186,143194,145263,147360,149411,151612,153795,155979,158145,160362,162581,164972,167358,169707,172137,174600,177202,179798,182447,185182,187796,190536,193207,196054,198941,201891,204787,207797,210871,213909,217025,220265,223483,226681,230106,233434,236856,240447,244037,247595,251156,255030,258779,262628,266579,270608,274644,278871,282970,287295,291620,295983,300396,304919,309397,314000,318622,323273,327995,332908,337725,342535,347453,352431,357516,362735,368005,373234,378634,384074,389417,394876,400593,406152,411969,417978,423991,429955,436113,442382,448650,455113,461568,468236,474792,481475,488293,495175,502328,509421,516758,524038,531580,539403,547035,554818,562771,570733,578888,587192,595683,604342,612937,621604,630528,639581,648821,657996,667432,677059,686721,696543
1,1,1,2,3,3,6,6,6,9,11,14,14,17,18,22,26,29,33,39,46,53,57,68,72,80,86,93,101,108,122,134,148,157,166,177,190,201,219,233,249,258,264,275,295,315,325,340,351,366,379,390,405,416,429,444,454,461,476,486,494,510,521,527,541,553,564,579,588,594,608,623,639,653,667,685,703,722,741,756,775,793,816,840,862,881,908,936,961,990,1018,1050,1077,1109,1133,1161,1188,1215,1230,1261,1288,1312,1338,1379,1407,1438,1465,1495,1519,1540,1581,1614,1640,1672,1703,1735,1771,1812,1853,1895,1937,1990,2034,2084,2131,2183,2230,2268,2317,2353,2408,2460,2500,2545,2592,2634,2680,2730,2767,2798,2837,2886,2917,2962,2995,3036,3074,3115,3174,3224,3276,3329,3369,3410,3461,3512,3561,3627,3677,3729,3795,3853,3908,3968,4023,4072,4133,4184,4251,4312,4366,4429,4478,4525,4585,4658,4724,4790,4846,4896,4966,5034,5100,5157,5230,5292,5334,5401,5480,5555,5626,5683,5749,5830,5897,5958,6034,6113,6179,6261,6344,6425,6509,6594,6670,6748,6829,6930,7036,7131,7225,7313,7424,7524,7618,7695,7801,7906,8016,8124,8239,8345,8478,8595,8741,8859,8987,9121,9234,9357,9485,9623,9738,9867,9992,10104,10254,10394,10539,10676,10806,10926,11083,11221,11351,11484,11626,11752,11886,12019,12175,12313,12449,12585,12742,12916,13058,13184,13339,13493,13647,13806,13985,14148,14273,14458,14620,14799,14970,15130,15303,15471,15646,15843,16015,16212,16422,16599,16797,16967,17153,17333,17560,17785,18047,18285,18518,18756,19014,19234,19479,19713,19987,20265,20529,20848,21113,21404,21675,21968,22285,22600,22941,23293,23603,23953,24249,24596,24964,25323,25732,26152,26544,26930,27315,27699,28121,28530,28931,29363,29777,30186,30632,31093,31563,31998,32436,32908,33375,33899,34418,34923,35415,35943,36478,37081,37689,38305,38926,39510,40143,40765,41424,42030,42710,43383,44051,44718,45352,45975,46598,47236,47856,48522,49153,49786,50382,51006,51698,52356,53024,53687,54366,55063,55797,56548,57267,58028,58764,59498,60261,61049,61865,62695,63528,64370,65183,66021,66899,67782,68724,69669,70640,71607,72584,73619,74737,75781,76850,77961,79004,80175,81371,82575,83803,85026,86265,87603,88879,90174,91495,92825,94155,95517,96896,98272,99699,101124,102574,104075,105632,107239,108917,110586,112210,113911,115570,117328,119036,120804,122664,124462,126318,128239,130249,132255,134323,136405,138469,140477,142649,144788,146973,149296,151577,153933,156267,158616,160996,163518,166059,168665,171224,173832,176654,179415,182184,184948,187790,190646,193586,196638,199628,202691,205766,208992,212066,215259,218577,221889,225128,228436,231761,235137,238632,242270,245976,249642,253404,257131,260799,264621,268524,272456,276326,280308,284414,288603,292744,297012,301230,305513,309781,314348,318749,323243,327793,332416,337185,341876,346534,351428,356356,361258,366338,371487,376621
1,1,1,1,1,1,1,1,1,2,3,4,8,9,10,11,14,15,17,20,26,27,31,33,36,41,46,53,55,58,65,77,82,85,89,95,103,113,124,129,142,147,152,163,173,186,195,206,218,224,229,236,242,253,257,265,273,281,293,304,315,325,338,344,348,355,364,375,383,391,399,405,420,432,449,463,475,496,505,524,540,567,594,623,646,673,702,742,777,813,843,879,910,953,978,1012,1043,1072,1112,1148,1181,1220,1259,1292,1334,1370,1420,1460,1499,1536,1579,1623,1667,1722,1777,1840,1899,1948,2003,2058,2119,2182,2248,2313,2408,2472,2536,2607,2690,2778,2883,2963,3043,3125,3219,3305,3393,3491,3579,3684,3791,3895,4000,4095,4215,4314,4415,4514,4616,4732,4849,4958,5091,5211,5302,5435,5565,5689,5833,5979,6135,6294,6472,6651,6858,7035,7212,7387,7604,7807,7995,8189,8400,8628,8867,9122,9349,9605,9846,10115,10384,10689,10971,11245,11538,11841,12173,12492,12799,13100,13414,13783,14084,14431,14742,15050,15415,15785,16151,16481,16838,17215,17551,17931,18280,18687,19077,19488,19842,20280,20704,21179,21584,22069,22498,23019,23471,23958,24439,24926,25411,25915,26415,26923,27402,27932,28426,28971,29532,30080,30626,31138,31672,32243,32769,33340,33972,34558,35143,35778,36370,36975,37613,38249,38856,39582,40227,40932,41622,42322,43015,43753,44431,45158,45899,46657,47421,48217,49033,49831,50628,51481,52286,53169,53996,54828,55710,56593,57492,58356,59275,60202,61147,62134,63171,64173,65170,66217,67209,68308,69408,70559,71716,72808,73960,75117,76285,77492,78764,79991,81299,82600,83926,85299,86635,87972,89374,90733,92200,93624,95083,96566,98059,99568,101119,102619,104185,105844,107426,109035,110722,112350,114032,115716,117445,119165,120895,122661,124417,126224,127999,129853,131758,133722,135658,137614,139676,141722,143863,146089,148273,150443,152664,154905,157199,159444,161698,164017,166430,168822,171372,173952,176473,179137,181779,184490,187141,189955,192761,195579,198473,201374,204316,207341,210465,213489,216646,219860,223115,226457,229702,233010,236402,239802,243312,246795,250382,253941,257653,261332,265028,268975,272855,276737,280714,284749,288785,292982,297168,301514,305842,310230,314527,318890,323369,327787,332231,336793,341381,346325,351129,355906,360840,365891,370952,376040,381350,386659,392196,397647,403386,408948,414634,420401,426293,432125,438205,444242,450442,456522,462792,469140,475459,482016,488642,495338,502214,509175,516264,523311,530495,537889,545373,552608,560012,567651,575423,583364,591421,599378,607537,615825,624245,632631,641343,650159,659034,668098,677168,686447,695768,705300,714983,724577,734336,744255,754162,764387,774905,785630,796312,807022,817788,828747,839783,851049,862259,873623,885013,896540,908340,920205,932074,944211,956709,969265,981802,994592,1007474,1020493,1033604,1046633,1059935,1073320,1086797,1100555,1114484,1128252,1142477,1156743,1171202,1185890,1200801,1215609,1230791,1246031,1261360,1277099,1292964,1308839,1324962,1341240,1357504,1374408,1391306,1408291,1425520
1,1,1,4,4,8,11,12,14,19,23,25,33,39,42,48,53,60,70,75,84,92,96,100,111,118,127,138,145,155,168,186,197,206,213,226,244,264,277,290,309,330,344,363,387,405,443,459,476,496,523,547,569,597,622,650,683,703,726,739,762,784,804,834,855,878,901,927,955,986,1012,1032,1056,1074,1101,1126,1146,1162,1193,1215,1232,1260,1291,1314,1342,1372,1403,1442,1483,1518,1555,1603,1631,1677,1722,1781,1838,1885,1936,1992,2054,2126,2179,2244,2309,2367,2423,2473,2537,2596,2649,2721,2797,2860,2922,2979,3049,3124,3182,3245,3319,3380,3438,3518,3609,3667,3745,3830,3899,3976,4052,4136,4214,4296,4400,4487,4567,4644,4736,4811,4880,4967,5049,5136,5223,5330,5413,5517,5619,5692,5776,5861,5943,6030,6114,6204,6282,6362,6446,6516,6603,6679,6758,6833,6909,7007,7093,7159,7248,7324,7410,7480,7569,7657,7736,7841,7921,8017,8107,8197,8290,8396,8489,8590,8679,8798,8900,8998,9128,9245,9359,9489,9622,9719,9857,9960,10067,10186,10301,10445,10552,10674,10794,10923,11051,11162,11281,11421,11571,11701,11835,11989,12146,12292,12441,12591,12729,12873,13045,13199,13378,13535,13729,13903,14073,14241,14425,14601,14795,15015,15201,15421,15613,15847,16070,16291,16494,16695,16910,17118,17337,17572,17830,18089,18307,18556,18803,19057,19278,19550,19763,20020,20260,20525,20811,21088,21382,21654,21907,22181,22457,22738,23030,23325,23628,23969,24286,24579,24892,25211,25542,25869,26213,26581,26934,27335,27686,28049,28412,28847,29239,29598,29958,30350,30732,31128,31580,31992,32451,32886,33341,33764,34233,34735,35188,35681,36109,36586,37083,37567,38059,38538,39068,39589,40138,40640,41232,41776,42295,42855,43435,44037,44568,45128,45711,46306,46852,47456,48055,48630,49255,49844,50518,51118,51714,52295,52897,53588,54230,54879,55519,56174,56889,57579,58260,58956,59710,60429,61198,61936,62741,63590,64410,65206,66033,66860,67682,68552,69476,70432,71437,72426,73445,74391,75385,76400,77491,78511,79558,80648,81738,82863,83995,85137,86315,87557,88702,89876,91155,92460,93742,95041,96407,97806,99176,100601,102042,103500,104940,106489,108096,109721,111372,112995,114621,116347,118044,119842,121608,123479,125303,127220,129227,131245,133291,135356,137448,139504,141714,143872,146011,148235,150557,152802,155136,157431,159835,162256,164679,167095,169485,171995,174456,177009,179582,182208,184785,187603,190288,193111,195947,198797,201715,204636,207656,210616,213738,216791,219804,222850,226102,229219,232458,235765,239058,242347,245816,249359,252986,256637,260294,263923,267802,271667,275566,279576,283575,287601,291798,295938,300127,304322,308538,312925,317450,322024,326606,331189,335897,340747,345635,350691,355650,360731,365895,371097,376294,381633,386977,392336,397641,403223,408700,414365,420054,425721,431542,437507,443524,449801,456035,462391,468729,475194,481785,488397,494949,501914,508777,515723,522885,530063,537183,544609,551977,559614,567438
1,1,2,3,6,9,9,14,19,24,34,37,37,42,49,54,65,72,80,88,91,94,104,119,137,152,166,182,200,217,231,252,263,280,289,305,313,323,337,359,365,377,395,410,429,451,471,485,498,523,545,564,588,601,627,649,684,719,744,767,793,826,854,888,908,932,957,990,1019,1049,1074,1103,1139,1178,1210,1236,1272,1307,1344,1391,1423,1459,1499,1542,1578,1623,1676,1717,1770,1808,1851,1891,1931,1967,2008,2045,2082,2131,2180,2214,2279,2332,2385,2434,2487,2533,2588,2631,2700,2755,2809,2880,2945,3029,3104,3166,3225,3284,3351,3417,3492,3562,3639,3708,3783,3852,3927,4024,4119,4225,4316,4410,4521,4614,4727,4849,4960,5087,5196,5339,5454,5582,5731,5862,5988,6125,6262,6397,6556,6708,6827,6978,7115,7269,7424,7577,7748,7934,8087,8244,8414,8583,8758,8951,9113,9289,9457,9631,9785,9974,10161,10369,10566,10758,10954,11164,11357,11582,11829,12050,12279,12524,12761,13017,13239,13470,13723,13980,14211,14461,14745,14989,15241,15508,15752,16009,16238,16501,16756,17019,17321,17625,17926,18228,18528,18865,19179,19526,19831,20188,20527,20889,21244,21589,21927,22286,22657,23038,23434,23820,24205,24608,25017,25447,25884,26321,26736,27165,27622,28041,28487,28972,29431,29862,30337,30801,31264,31769,32270,32746,33289,33806,34322,34835,35422,35970,36503,37079,37660,38312,38990,39611,40256,40971,41596,42293,42986,43663,44424,45211,46046,46800,47583,48429,49274,50130,50998,51884,52747,53653,54543,55472,56452,57378,58316,59245,60180,61183,62197,63279,64348,65375,66436,67563,68651,69777,70941,72122,73261,74499,75725,76888,78136,79415,80783,82069,83408,84715,86072,87420,88877,90334,91791,93319,94820,96363,97873,99407,100992,102565,104225,105902,107488,109125,110828,112573,114287,115935,117673,119476,121305,123104,124907,126737,128537,130372,132296,134189,136106,137971,139960,141918,143935,145989,148090,150222,152408,154581,156753,158886,161141,163417,165730,168107,170478,172932,175364,177804,180263,182702,185235,187802,190495,193066,195667,198386,201068,203899,206663,209589,212586,215603,218540,221699,224771,227940,231162,234408,237725,241016,244408,247983,251471,254954,258531,262142,265894,269693,273521,277360,281170,285107,289090,293093,297293,301410,305576,309813,314135,318392,322861,327372,331910,336584,341157,345981,350763,355574,360474,365483,370568,375789,380924,386331,391818,397373,402916,408495,414328,420199,426083,432204,438317,444560,450904,457323,463846,470436,477217,483950,490985,497842,504851,511883,518998,526300,533567,540952,548501,556009,563552,571318,579209,587379,595626,603803,612137,620343,628687,637223,646009,654764,663802,672938,682117,691289,700803,710443,720100,730065,739906,749806,759992,770200,780660,791271,801884,812756,823594,834573,845643,856803,868075,879697,891390,903181,915222,927155,939350,951704,964159,976950,989636,1002565,1015636,1028820,1042380,1056089,1069854,1083575,1097528,1111809,1126347,1141150,1156140,1171028,1186250,1201651,1216994,1232474,1248284,1264275,1280501,1296715,1313132,1330071,1347132
1,1,1,1,1,3,5,5,7,8,9,10,15,16,18,20,22,26,37,40,44,53,62,67,73,83,89,101,108,123,133,150,162,177,185,201,217,232,248,259,266,279,296,312,328,346,368,383,408,428,445,468,483,505,536,563,587,605,635,669,704,738,763,805,828,855,888,919,944,972,1003,1027,1060,1095,1121,1157,1185,1218,1256,1302,1339,1377,1424,1464,1508,1566,1618,1675,1729,1783,1844,1904,1953,2016,2092,2161,2223,2296,2366,2436,2506,2573,2643,2716,2779,2851,2913,2967,3047,3118,3191,3260,3340,3428,3511,3606,3684,3776,3845,3926,4011,4101,4208,4298,4389,4485,4590,4710,4821,4942,5064,5193,5340,5478,5628,5765,5876,5999,6152,6307,6470,6633,6786,6936,7074,7210,7395,7557,7706,7900,8081,8249,8405,8562,8725,8898,9076,9247,9414,9614,9832,10009,10186,10351,10524,10764,10947,11126,11300,11476,11642,11821,12014,12206,12412,12622,12826,13006,13200,13406,13621,13836,14047,14261,14442,14646,14860,15070,15289,15511,15770,15982,16229,16443,16689,16907,17151,17386,17639,17901,18161,18439,18715,18989,19281,19610,19873,20144,20433,20719,21031,21344,21602,21901,22215,22471,22770,23077,23386,23677,24003,24318,24651,24965,25300,25651,25998,26380,26745,27109,27459,27836,28235,28591,28961,29337,29722,30084,30485,30934,31319,31724,32152,32584,32997,33421,33876,34313,34760,35200,35651,36116,36643,37120,37610,38135,38647,39137,39653,40199,40758,41307,41863,42418,42974,43539,44132,44750,45369,45959,46554,47223,47873,48456,49150,49787,50513,51160,51787,52465,53120,53813,54512,55236,55922,56680,57401,58206,58965,59780,60563,61406,62239,63031,63861,64697,65511,66411,67223,68137,69030,69975,70899,71835,72768,73731,74689,75589,76577,77558,78518,79535,80542,81571,82600,83681,84794,85910,87017,88053,89154,90335,91485,92617,93819,95110,96347,97633,98878,100196,101502,102832,104182,105483,106866,108201,109538,110932,112386,113890,115337,116738,118250,119776,121240,122789,124350,125938,127500,129154,130762,132368,133966,135570,137238,138846,140568,142296,144123,145952,147781,149632,151563,153475,155377,157279,159247,161193,163212,165336,167476,169560,171659,173826,175984,178274,180390,182530,184754,186995,189306,191583,193940,196223,198586,201001,203331,205836,208145,210596,213098,215652,218245,220784,223278,225924,228511,231255,233940,236542,239226,242047,244856,247664,250653,253617,256626,259672,262652,265654,268660,271628,274737,277852,280968,284136,287330,290604,293876,297083,300400,303713,307137,310679,314077,317493,321106,324752,328380,332080,335763,339369,343161,346979,350890,354976,359101,363222,367469,371624,375872,380231,384643,389053,393569,398114,402815,407501,412216,417039,421876,426831,431849,436958,442091,447289,452731,458147,463550,468902,474542,480246,485882,491782,497605,503540,509552,515521,521816,528057,534394,540931,547460,553983,560570,567414,574178,581026,588026,595277,602620,610090,617377,624600,632319,639959,647708,655502,663543,671578,679525,687685,695998,704519,713106,721585,730502
1,1,1,1,1,1,2,6,8,9,9,12,14,15,15,15,15,21,21,25,26,29,29,35,37,38,41,47,50,53,56,60,63,66,70,76,81,89,98,106,112,122,131,140,144,149,160,169,174,187,196,202,211,222,232,238,247,260,270,287,302,311,321,341,356,371,386,403,424,446,466,483,503,528,549,569,587,603,625,639,652,666,688,704,718,729,742,760,776,791,809,828,842,858,875,888,905,930,948,968,983,1008,1027,1056,1073,1099,1130,1149,1183,1213,1243,1275,1306,1329,1368,1407,1442,1490,1526,1558,1596,1631,1676,1716,1757,1791,1829,1870,1900,1941,1984,2022,2061,2099,2137,2170,2210,2250,2304,2343,2390,2439,2494,2545,2593,2635,2676,2734,2781,2825,2867,2911,2951,2998,3045,3079,3116,3147,3198,3250,3299,3332,3366,3408,3432,3474,3506,3541,3569,3602,3635,3664,3703,3742,3778,3819,3860,3905,3955,3995,4046,4090,4136,4182,4229,4284,4345,4405,4464,4523,4590,4663,4730,4813,4868,4937,4998,5086,5171,5248,5314,5391,5471,5549,5606,5696,5771,5855,5942,5997,6058,6137,6229,6304,6357,6439,6512,6578,6641,6721,6784,6856,6938,7017,7100,7166,7246,7327,7429,7530,7627,7730,7818,7910,8008,8109,8193,8300,8400,8495,8593,8705,8826,8934,9040,9172,9303,9419,9543,9673,9809,9913,10070,10219,10368,10516,10645,10763,10930,11068,11206,11323,11452,11571,11710,11863,11982,12138,12301,12449,12589,12720,12853,12991,13141,13265,13391,13533,13701,13845,13991,14140,14318,14481,14654,14796,14962,15105,15273,15444,15631,15823,16001,16179,16343,16515,16704,16877,17070,17280,17480,17682,17886,18084,18280,18497,18678,18876,19082,19257,19450,19632,19834,20031,20235,20416,20596,20776,20950,21134,21314,21501,21690,21876,22087,22275,22491,22679,22878,23060,23266,23465,23692,23891,24064,24264,24499,24664,24864,25059,25246,25482,25666,25892,26084,26295,26482,26682,26873,27086,27309,27525,27753,27962,28184,28378,28593,28812,29006,29211,29416,29619,29850,30074,30338,30575,30836,31096,31381,31664,31951,32226,32520,32799,33079,33388,33693,33958,34276,34581,34913,35230,35533,35879,36215,36572,36932,37303,37676,38033,38406,38781,39140,39490,39845,40208,40575,40968,41348,41741,42149,42534,42925,43305,43762,44195,44673,45105,45496,45922,46343,46771,47265,47749,48250,48710,49220,49717,50208,50708,51205,51753,52287,52843,53412,54033,54646,55254,55910,56546,57198,57860,58512,59128,59808,60510,61197,61900,62615,63403,64179,64879,65613,66319,67079,67864,68596,69353,70139,70904,71733,72566,73414,74226,75075,75936,76814,77744,78662,79594,80519,81490,82452,83502,84511,85576,86666,87765,88870,90008,91182,92413,93628,94844,96124,97422,98782,100130,101470,102820,104211,105630,107075,108517,109979,111421,112856,114326,115837,117374,118972,120558,122135,123754,125414,127041,128758
1,1,1,1,2,4,4,6,7,10,13,13,13,14,17,19,22,23,26,31,37,40,48,54,60,61,62,68,69,74,77,79,89,93,106,116,121,126,132,145,158,171,179,187,191,201,204,214,223,235,250,270,284,297,311,326,333,343,357,379,400,425,452,476,496,525,562,592,628,660,693,733,773,807,831,869,906,941,985,1023,1068,1102,1142,1180,1227,1275,1323,1373,1427,1476,1518,1577,1632,1681,1729,1778,1836,1911,1978,2049,2100,2162,2224,2295,2352,2420,2496,2580,2650,2730,2821,2892,2982,3060,3134,3196,3265,3349,3435,3494,3559,3635,3705,3773,3853,3920,3997,4062,4121,4196,4260,4324,4385,4443,4489,4556,4619,4698,4772,4852,4924,4984,5048,5127,5186,5264,5326,5396,5467,5558,5623,5711,5788,5849,5943,6021,6107,6188,6266,6339,6436,6515,6618,6685,6779,6868,6961,7049,7147,7259,7379,7492,7589,7682,7788,7909,8004,8137,8250,8399,8535,8642,8763,8897,9021,9147,9297,9428,9550,9706,9862,10029,10171,10321,10460,10636,10768,10919,11064,11246,11410,11580,11742,11905,12051,12196,12363,12531,12690,12855,13005,13164,13322,13474,13659,13817,14008,14171,14340,14525,14683,14879,15064,15242,15430,15633,15850,16033,16206,16404,16593,16796,16997,17218,17430,17660,17883,18100,18344,18582,18835,19102,19357,19624,19900,20197,20485,20775,21062,21377,21682,21995,22283,22590,22912,23225,23544,23879,24222,24608,24959,25352,25748,26132,26538,26952,27338,27734,28140,28594,29027,29473,29963,30429,30949,31402,31906,32389,32913,33470,33984,34548,35112,35689,36278,36864,37446,38022,38668,39246,39838,40422,40996,41656,42331,43031,43724,44405,45079,45773,46425,47129,47831,48571,49314,50043,50788,51572,52334,53060,53805,54595,55350,56129,56910,57727,58505,59337,60166,61045,61900,62717,63619,64494,65391,66248,67101,68072,69029,69956,70931,71937,72948,73940,74970,75974,77020,78055,79118,80261,81307,82377,83448,84575,85681,86890,88105,89289,90512,91739,92995,94264,95563,96893,98162,99562,100964,102341,103766,105241,106676,108166,109723,111318,112927,114578,116177,117732,119453,121156,122841,124620,126353,128240,130071,131988,133847,135834,137797,139809,141797,143791,145857,148081,150181,152323,154457,156623,158879,161176,163548,165993,168380,170812,173187,175694,178290,180941,183407,186052,188722,191494,194375,197232,200087,202998,205938,209000,212043,215139,218326,221548,224824,228101,231447,234967,238518,242007,245559,249187,252868,256609,260414,264224,268005,272018,276007,280096,284191,288409,292540,296763,300984,305391,309862,314423,319091,323843,328618,333312,338260,343162,348163,353058,358097,363310,368694,373989,379531,384955,390502,396220,402031,407691,413646,419663,425589,431818,437976,444255,450466,456839,463286,469900,476481,483210,489878,496726,503682,510819,517742,524828,532113,539489,546926,554465,562109,569792,577347,585112,592885,600899,608983,617280,625680,634220,642843,651623,660537,669386,678381,687463,696787,706139,715929,725683,735702
1,1,1,1,1,2,4,5,9,10,11,13,16,16,20,24,30,39,45,55,64,70,80,89,103,117,132,138,145,159,170,180,189,196,203,213,223,230,236,246,247,256,259,266,271,278,285,289,294,296,301,303,308,314,323,330,340,349,359,370,387,399,408,424,433,450,463,481,493,523,545,571,598,620,650,692,728,762,795,822,864,892,934,981,1022,1060,1116,1162,1208,1255,1294,1329,1366,1412,1458,1509,1554,1595,1650,1707,1752,1805,1853,1904,1954,2018,2067,2122,2175,2227,2284,2341,2418,2484,2572,2647,2721,2801,2883,2969,3055,3152,3250,3334,3445,3551,3658,3758,3864,3990,4088,4198,4324,4430,4553,4675,4801,4933,5056,5186,5316,5413,5530,5659,5785,5911,6051,6185,6328,6465,6605,6754,6904,7043,7203,7350,7524,7675,7849,8019,8206,8396,8597,8788,9025,9214,9452,9654,9867,10107,10308,10553,10815,11060,11290,11556,11831,12089,12362,12596,12856,13112,13395,13662,13966,14284,14566,14880,15176,15536,15881,16172,16473,16832,17181,17559,17935,18300,18691,19055,19431,19847,20249,20671,21101,21512,21928,22395,22874,23359,23871,24391,24873,25412,25920,26454,27024,27564,28174,28773,29352,29958,30605,31212,31865,32463,33085,33721,34384,35082,35743,36438,37158,37908,38620,39372,40067,40807,41519,42262,43056,43804,44616,45360,46109,46924,47697,48473,49285,50038,50846,51655,52443,53192,54043,54895,55773,56686,57538,58504,59387,60365,61295,62247,63161,64175,65179,66209,67191,68197,69317,70417,71452,72583,73711,74828,75953,77120,78274,79450,80650,81870,83035,84291,85534,86821,88114,89453,90794,92194,93514,94820,96177,97566,98974,100472,102005,103549,105180,106820,108536,110163,111882,113567,115271,116999,118784,120497,122322,124116,126004,127929,129861,131805,133793,135724,137809,139908,142100,144200,146369,148624,150770,153074,155387,157623,160086,162446,164810,167181,169685,172145,174628,177188,179688,182391,185150,187960,190685,193469,196245,199207,202165,204998,208040,211155,214247,217471,220674,223918,227252,230778,234163,237528,241030,244560,248097,251765,255455,259178,263012,266866,270733,274560,278543,282465,286484,290594,294679,298866,303276,307706,312174,316694,321145,325680,330394,335203,340080,344988,349873,354826,359865,364955,370113,375306,380767,386207,391750,397372,403063,408788,414622,420452,426442,432574,438727,444974,451276,457694,464186,470731,477240,484032,490908,497909,504793,511897,519063,526265,533410,540896,548424,556116,563800,571356,578982,586725,594804,602916,611201,619550,628116,636717,645298,654208,663093,671975,681193,690220,699527,709000,718578,728321,738131,748089,758235,768438,778794,789161,799755,810316,820972,832005,842823,854224,865553,877169,888874,900724,912582,924769,936887,949314,961964,974601,987475,1000481,1013558,1026836,1040168,1053872,1067450,1081478,1095281,1109272,1123428,1137734,1152092,1166873,1181782,1196650,1211790,1226956,1242178,1257614,1273131,1288794,1304779,1320920,1337090,1353258,1369960,1386664,1403507,1420381,1437569,1455008,1472493,1490339,1508396,1526767,1545161,1563699,1582613,1601674,1620968
1,1,1,1,1,1,1,1,3,3,4,5,6,7,7,8,11,14,19,22,24,27,29,32,39,40,49,56,64,72,79,85,96,107,117,126,134,140,152,157,161,172,182,194,199,208,211,218,230,237,244,255,265,274,284,297,309,322,334,343,361,378,397,419,432,459,479,504,520,539,568,594,627,656,697,738,773,822,857,897,944,985,1027,1070,1124,1173,1222,1278,1334,1377,1434,1490,1544,1613,1679,1734,1799,1874,1934,2011,2079,2152,2226,2289,2365,2429,2511,2580,2655,2727,2815,2898,2967,3048,3129,3192,3262,3336,3421,3492,3567,3655,3731,3807,3882,3966,4056,4139,4205,4283,4362,4442,4525,4598,4685,4766,4871,4968,5060,5150,5242,5335,5418,5517,5620,5708,5800,5912,6024,6127,6211,6316,6399,6504,6611,6715,6810,6918,7028,7108,7199,7289,7393,7504,7605,7716,7809,7909,8012,8108,8212,8307,8431,8538,8670,8789,8920,9051,9199,9352,9469,9600,9746,9892,10043,10223,10392,10567,10732,10911,11054,11241,11419,11600,11773,11929,12125,12276,12456,12653,12823,12990,13152,13321,13486,13645,13825,13983,14182,14398,14581,14768,14960,15156,15352,15571,15793,15992,16249,16477,16748,17000,17251,17478,17712,17959,18229,18512,18816,19113,19438,19772,20086,20438,20760,21127,21491,21849,22222,22611,22987,23402,23818,24199,24626,25048,25510,25990,26499,26963,27440,27927,28434,28920,29481,29981,30535,31092,31654,32231,32845,33438,34031,34578,35197,35812,36454,37140,37792,38487,39217,40004,40749,41450,42202,42945,43723,44458,45295,46131,47002,47800,48653,49501,50387,51297,52238,53118,54044,54961,55851,56819,57796,58698,59670,60627,61669,62739,63743,64760,65807,66861,67853,68958,70007,71154,72263,73333,74457,75638,76742,77904,79132,80348,81586,82836,84133,85386,86697,88045,89379,90745,92070,93560,94985,96398,97840,99356,100880,102471,104031,105714,107294,108920,110576,112261,113935,115633,117383,119138,120995,122906,124797,126709,128565,130466,132471,134516,136492,138564,140648,142784,144917,147053,149252,151422,153557,155844,158196,160526,162792,165144,167684,170073,172529,175030,177600,180225,182882,185472,188267,191107,193972,196879,199819,202759,205788,208863,212017,215138,218329,221479,224808,228090,231376,234798,238327,241832,245468,249228,252879,256650,260416,264189,268201,272261,276254,280318,284483,288696,292824,297256,301641,306050,310676,315319,319978,324666,329402,334258,339064,343949,349006,354013,359145,364299,369625,375037,380446,385941,391372,396889,402514,408320,413931,419790,425828,431792,437971,444150,450528,456798,463195,469437,476027,482594,489164,495805,502764,509776,516644,523847,530993,538245,545629,552897,560555,568082,575819,583595,591332,599247,607078,615217,623308,631624,639859,648373,657006,665723,674605,683552,692677,701964,711515,721156,730886,740625,750490,760624,770861,781179,791736,802371,813261,824022,834770,845927,857135,868488,879840,891553,903310,915157,927196,939337,951604,963880,976621,989518,1002410,1015267,1028483,1042030,1055424,1069143,1083116
1,1,1,1,1,2,4,6,10,12,13,13,13,16,17,17,24,30,34,39,42,52,53,59,62,66,73,83,88,96,105,111,120,132,140,146,151,160,164,174,180,189,199,209,217,232,238,247,261,268,277,292,304,313,328,337,351,368,380,395,414,421,438,462,479,503,535,560,585,611,648,679,706,736,764,794,819,850,879,907,941,973,999,1038,1066,1091,1127,1160,1191,1223,1263,1280,1313,1342,1376,1404,1440,1475,1511,1538,1564,1610,1654,1691,1735,1780,1827,1887,1931,1973,2026,2073,2119,2183,2235,2295,2353,2400,2451,2506,2559,2608,2674,2736,2792,2838,2883,2945,2990,3052,3143,3205,3283,3373,3440,3525,3614,3695,3765,3850,3944,4030,4134,4243,4331,4427,4537,4641,4750,4840,4942,5054,5171,5295,5403,5503,5622,5751,5872,6015,6140,6266,6385,6535,6675,6813,6958,7097,7240,7377,7532,7701,7879,8036,8206,8374,8537,8695,8889,9068,9272,9463,9625,9811,10001,10180,10375,10582,10770,10941,11127,11306,11497,11728,11939,12146,12397,12637,12868,13085,13326,13566,13811,14048,14289,14538,14810,15101,15375,15658,15898,16183,16482,16784,17057,17366,17628,17961,18284,18623,18926,19266,19641,19977,20317,20673,21045,21418,21780,22152,22512,22927,23329,23786,24213,24643,25073,25489,25936,26434,26916,27394,27878,28387,28877,29377,29870,30407,30949,31479,31997,32521,33054,33613,34203,34791,35417,35995,36589,37204,37820,38424,39074,39692,40304,40937,41649,42321,43043,43747,44465,45219,45954,46673,47418,48159,48969,49760,50519,51328,52121,52912,53709,54532,55343,56125,56902,57703,58499,59325,60206,61048,61939,62799,63697,64581,65431,66288,67148,68007,68960,69881,70854,71884,72852,73840,74850,75889,76966,78083,79220,80356,81530,82779,83996,85267,86539,87828,89165,90499,91893,93278,94657,96146,97601,99061,100606,102084,103606,105179,106804,108452,110091,111725,113429,115163,116905,118685,120458,122264,124067,125948,127811,129675,131635,133643,135592,137615,139558,141595,143613,145680,147822,149978,152206,154345,156557,158829,161086,163419,165746,168140,170659,173091,175538,178035,180526,183034,185593,188303,190997,193733,196418,199192,201968,204680,207507,210547,213422,216435,219512,222680,225704,228907,232202,235606,238976,242375,245779,249331,253009,256593,260338,264052,267922,271748,275701,279763,283788,287860,292005,296214,300492,304661,309007,313471,317843,322496,327144,331805,336582,341338,346224,351261,356253,361465,366665,371910,377228,382490,387809,393270,398658,404075,409668,415431,421276,427167,433128,439048,444988,451092,457405,463755,470213,476699,483366,490130,496947,503839,510681,517880,525061,532319,539708,547044,554461,561868,569630,577316,585141,593083,601084,609296,617544,625881,634309,643034,651568,660387,669187,678135,687214,696492,705911,715518,724971,734700,744556,754434,764392,774600,784927,795414,806008,816857,827650,838495,849615,860693,871985,883402,894939,906455,918297,930457,942622,955035,967476,979995,992694,1005546,1018422,1031615,1044677,1057811,1071290
1,1,3,4,5,8,9,12,15,25,27,30,34,40,49,57,64,82,94,103,116,130,144,157,172,181,193,199,213,224,236,249,258,269,280,298,304,321,329,347,358,371,390,407,438,458,473,491,511,535,556,582,610,635,658,673,692,708,742,764,781,808,829,854,872,899,929,960,982,1000,1022,1043,1060,1089,1120,1141,1172,1199,1221,1250,1281,1313,1343,1370,1407,1451,1501,1540,1592,1634,1673,1738,1794,1851,1917,1984,2043,2093,2171,2229,2299,2367,2425,2491,2566,2654,2740,2822,2912,3007,3094,3175,3269,3350,3444,3532,3633,3734,3836,3955,4065,4179,4283,4395,4518,4610,4710,4806,4914,5042,5150,5268,5395,5502,5616,5739,5846,5969,6076,6181,6324,6427,6543,6666,6796,6925,7069,7204,7341,7476,7624,7759,7881,8017,8160,8303,8456,8599,8731,8862,8991,9137,9281,9412,9546,9669,9817,9951,10095,10229,10369,10505,10641,10797,10956,11088,11252,11408,11576,11731,11864,12028,12182,12338,12514,12684,12842,12999,13148,13299,13464,13640,13812,13990,14181,14369,14558,14735,14912,15081,15259,15461,15630,15820,16024,16235,16430,16653,16862,17062,17262,17480,17676,17879,18060,18247,18455,18638,18820,19032,19254,19469,19663,19856,20095,20285,20462,20672,20891,21089,21306,21521,21752,21980,22203,22423,22628,22877,23118,23367,23630,23869,24152,24382,24600,24844,25076,25346,25626,25883,26198,26458,26716,26988,27252,27511,27792,28103,28369,28651,28929,29221,29512,29780,30079,30376,30664,30953,31240,31554,31873,32168,32468,32764,33109,33404,33718,34030,34350,34708,35030,35362,35707,36072,36408,36758,37119,37436,37823,38147,38516,38919,39306,39686,40029,40412,40789,41177,41583,41975,42365,42759,43179,43581,43990,44415,44835,45294,45698,46113,46590,47072,47508,47946,48404,48895,49379,49814,50289,50778,51278,51778,52303,52838,53339,53858,54371,54940,55461,55982,56528,57067,57609,58120,58699,59236,59786,60391,61016,61653,62224,62804,63439,64038,64706,65330,65980,66610,67290,67913,68659,69364,70040,70771,71487,72212,72943,73682,74414,75161,75857,76669,77396,78191,78955,79787,80618,81429,82275,83134,84032,84952,85851,86761,87652,88612,89489,90443,91379,92378,93317,94355,95322,96339,97329,98368,99438,100526,101612,102722,103840,105016,106167,107362,108544,109777,110946,112216,113467,114802,116050,117415,118743,120043,121449,122794,124265,125729,127169,128561,130006,131447,132941,134476,136062,137674,139276,140884,142437,144034,145694,147436,149263,151037,152833,154673,156552,158463,160405,162402,164503,166599,168653,170760,172777,174947,177148,179416,181733,183994,186192,188486,190906,193258,195633,198150,200652,203161,205747,208307,210863,213567,216246,218921,221675,224530,227429,230265,233262,236219,239234,242417,245513,248720,251968,255265,258660,261989,265386,268889,272545,276268,279883,283664,287388,291204,295041,298955,302958,307048,311153,315290,319385,323592,327737,332017,336412,340859,345395,349979,354541,359266,364024,368825,373674,378473,383366
1,1,1,1,1,1,5,6,8,9,14,17,20,20,22,24,30,34,42,53,58,72,76,89,102,113,122,130,137,141,150,161,169,176,184,193,203,208,212,216,225,235,253,269,272,279,289,302,315,320,335,348,359,370,378,394,409,421,432,449,471,493,513,535,559,577,601,626,648,676,703,742,772,808,841,872,906,953,992,1030,1073,1116,1162,1207,1252,1287,1325,1377,1415,1463,1504,1559,1602,1636,1684,1719,1761,1805,1843,1902,1943,1979,2024,2080,2133,2184,2234,2282,2345,2404,2460,2537,2599,2663,2734,2796,2852,2940,3014,3109,3215,3285,3381,3487,3581,3665,3782,3868,3981,4093,4217,4349,4481,4582,4708,4851,4987,5129,5261,5415,5557,5693,5836,5962,6135,6271,6419,6568,6710,6845,7000,7164,7327,7482,7640,7796,7954,8103,8268,8406,8578,8750,8924,9099,9254,9433,9595,9778,9971,10177,10372,10579,10792,10998,11220,11440,11649,11850,12063,12319,12547,12787,13034,13289,13551,13817,14087,14349,14638,14933,15231,15510,15821,16147,16465,16757,17060,17383,17702,18004,18334,18680,19032,19370,19702,20039,20400,20770,21129,21488,21891,22290,22658,23085,23513,23961,24411,24858,25269,25732,26182,26634,27093,27608,28149,28640,29143,29658,30200,30746,31309,31860,32398,32997,33589,34221,34798,35427,36055,36696,37354,38027,38701,39376,40074,40753,41470,42167,42865,43653,44443,45170,45901,46669,47422,48209,48999,49779,50601,51462,52388,53201,54095,54957,55867,56804,57732,58677,59648,60611,61665,62678,63773,64810,65818,66899,68035,69169,70312,71463,72585,73790,74888,76033,77216,78463,79761,81026,82282,83595,84890,86223,87614,88971,90369,91706,93072,94427,95851,97347,98868,100370,101891,103436,105005,106624,108241,109839,111359,113059,114777,116444,118295,120059,121889,123760,125632,127566,129620,131671,133743,135839,137927,140074,142126,144338,146604,148791,151104,153382,155700,157985,160362,162763,165274,167786,170229,172825,175437,178068,180746,183418,186118,188777,191506,194287,197076,199870,202717,205672,208522,211479,214401,217465,220573,223572,226753,229918,232999,236231,239542,242827,246191,249585,253117,256557,259969,263482,267058,270751,274494,278188,282089,285949,289782,293765,297729,301758,305672,309693,313903,317935,322154,326473,330905,335431,339945,344503,349039,353691,358364,363181,368133,373127,378245,383307,388446,393590,398653,403986,409206,414691,420174,425843,431572,437407,443277,449103,455030,461201,467352,473515,479779,486301,492823,499534,506255,513085,520058,527091,534104,541201,548531,555674,563035,570484,578085,585741,593669,601783,609862,617871,626120,634503,643053,651674,660359,669146,678104,687112,696132,705443,714933,724511,734121,744053,753871,763949,774145,784472,794973,805605,816277,826894,837772,848782,859921,871275,882691,894366,906112,917935,930055,942125,954423,966927,979485,992358,1005530,1018849,1032272,1045582,1058909,1072834,1086742,1100940,1114855,1129007,1143596,1158278,1173477,1188469,1203610,1219055,1234637,1250521,1266411,1282639,1298931,1315173,1331685,1348292,1364828,1381830,1399062,1416515,1434231
1,1,1,3,4,5,9,9,11,13,13,14,14,14,18,18,21,22,26,30,34,37,38,41,42,45,46,50,55,60,66,75,84,91,96,100,108,114,119,127,135,147,160,167,178,189,197,205,212,216,224,230,240,251,263,270,275,280,288,294,299,302,307,315,324,331,342,354,366,382,398,411,428,446,466,492,515,540,561,584,604,626,650,683,721,759,786,809,845,881,920,964,1003,1036,1077,1107,1144,1186,1222,1272,1336,1393,1469,1512,1599,1670,1749,1818,1892,1960,2034,2111,2201,2289,2378,2448,2519,2585,2676,2777,2853,2930,3026,3102,3191,3284,3377,3474,3566,3656,3749,3845,3952,4069,4179,4281,4397,4506,4628,4729,4855,4971,5094,5228,5331,5453,5578,5707,5838,5947,6068,6214,6363,6476,6605,6723,6861,6997,7144,7304,7456,7603,7756,7918,8066,8223,8407,8566,8716,8892,9087,9277,9459,9636,9830,10016,10191,10377,10587,10788,10972,11164,11365,11568,11774,11971,12189,12357,12544,12717,12927,13122,13320,13529,13705,13886,14067,14305,14520,14727,14917,15103,15318,15529,15735,15943,16184,16424,16658,16889,17124,17385,17641,17903,18182,18442,18759,19058,19339,19646,19908,20205,20523,20845,21125,21443,21764,22122,22437,22775,23089,23413,23756,24125,24480,24808,25165,25533,25897,26277,26616,26976,27334,27734,28089,28494,28890,29254,29677,30052,30500,30904,31344,31775,32227,32672,33129,33566,34016,34491,34919,35404,35825,36305,36825,37362,37867,38369,38898,39389,39906,40448,40950,41476,42005,42522,43076,43628,44197,44764,45404,45968,46550,47164,47814,48426,49025,49687,50345,51005,51723,52414,53147,53870,54600,55325,56089,56851,57608,58426,59195,60042,60901,61710,62569,63467,64312,65242,66189,67078,68047,68993,69970,70940,71965,72993,74095,75110,76183,77270,78400,79505,80650,81806,82938,84091,85254,86416,87610,88806,90060,91358,92680,93918,95252,96656,97959,99339,100812,102224,103619,105136,106629,108078,109596,111059,112545,114099,115607,117194,118839,120592,122317,123963,125597,127290,129035,130794,132551,134392,136222,137996,139874,141765,143631,145588,147477,149503,151469,153525,155549,157587,159632,161730,163810,166012,168109,170382,172658,174994,177378,179695,182133,184561,186980,189485,192009,194587,197149,199806,202439,205244,207949,210653,213405,216210,218934,221699,224755,227814,230864,234049,237132,240317,243577,246909,250277,253663,257000,260573,264095,267622,271262,274880,278557,282258,286158,290182,294119,298014,302105,306141,310293,314527,318743,323016,327318,331705,336073,340475,345007,349570,354359,359177,364065,368958,373931,378910,383960,389090,394184,399344,404642,409975,415413,421040,426748,432436,438320,444215,450061,455981,462000,468100,474310,480561,486848,493265,499916,506493,513024,519800,526740,533635,540766,547814,554970,562138,569434,576924,584717,592540,600417,608519,616548,624634,632825,641213,649769,658339,667073,675913,684753,693963,703019,712183,721480,730898,740479,750151,760031,769996,779978,790161,800409,810784,821292
1,1,1,1,1,1,1,1,2,5,5,6,7,8,12,18,29,34,44,48,57,65,68,73,79,87,99,104,116,122,131,147,163,166,179,191,200,212,222,233,241,250,262,273,287,296,307,319,329,347,362,379,395,412,426,449,465,500,520,543,579,612,643,688,715,756,790,829,878,919,966,1011,1061,1103,1162,1215,1269,1333,1404,1462,1516,1572,1649,1713,1790,1851,1919,1983,2053,2136,2210,2298,2381,2470,2546,2628,2695,2784,2866,2941,3049,3131,3229,3322,3395,3482,3580,3661,3765,3856,3982,4079,4189,4272,4367,4473,4575,4686,4823,4938,5066,5181,5296,5418,5537,5668,5782,5911,6046,6192,6344,6493,6638,6785,6948,7082,7236,7388,7543,7695,7870,8033,8189,8365,8531,8707,8891,9093,9273,9431,9621,9822,10004,10220,10405,10601,10799,10991,11206,11414,11610,11836,12046,12264,12474,12689,12905,13131,13368,13560,13757,13979,14179,14418,14650,14881,15129,15404,15650,15888,16164,16434,16750,17038,17297,17600,17866,18169,18457,18756,19099,19397,19750,20119,20472,20841,21215,21580,21912,22246,22608,22995,23360,23719,24092,24510,24912,25302,25728,26141,26567,26963,27402,27826,28284,28737,29199,29654,30143,30646,31157,31654,32155,32701,33209,33737,34266,34809,35359,35870,36467,36996,37600,38223,38802,39369,39968,40594,41204,41811,42481,43196,43850,44563,45176,45832,46468,47139,47841,48530,49266,49991,50712,51503,52277,53051,53800,54556,55339,56094,56860,57683,58537,59350,60172,61008,61843,62672,63521,64437,65386,66327,67271,68200,69162,70082,71053,72090,73079,74141,75263,76390,77456,78555,79745,80941,82146,83334,84549,85844,87131,88418,89723,91051,92399,93725,95113,96531,97868,99195,100667,102151,103589,105015,106581,108152,109625,111092,112689,114253,115801,117372,118926,120448,121975,123602,125213,126844,128515,130197,131842,133553,135259,136853,138517,140198,141934,143640,145483,147284,149175,150945,152849,154659,156512,158335,160186,162081,163981,165892,167870,169857,171954,174007,176139,178211,180357,182580,184859,187069,189381,191742,194066,196440,198912,201397,203891,206465,209058,211616,214206,216850,219570,222289,225110,227867,230721,233642,236523,239531,242547,245600,248664,251792,254979,258193,261477,264755,267990,271501,274968,278442,281997,285615,289312,293019,296701,300407,304282,308103,312043,315945,320106,324036,328092,332262,336440,340696,345060,349419,353792,358403,362998,367643,372441,377253,382014,387131,392225,397239,402318,407604,412784,418203,423626,429221,434926,440604,446460,452304,458372,464336,470374,476409,482557,488966,495337,501797,508363,514968,521579,528346,535227,542191,549341,556405,563750,570968,578448,585899,593575,601272,609084,616966,625009,633192,641411,649726,658223,666722,675458,683974,692822,701618,710620,719977,729135,738496,747884,757592,767217,776993,786806,796750,806844,817165,827403,837723,848196,858773,869412,880100,891148,901961,913140,924560,935949,947408,958767,970480,982443,994578,1006664,1018890,1031188,1043648,1056130,1069041,1081968,1094981,1108237,1121717,1135226,1148852,1162528,1176664,1190833
1,1,1,1,1,2,3,6,7,8,10,12,12,12,15,19,25,27,31,35,45,52,58,64,78,85,91,96,109,114,127,134,141,149,158,169,177,186,191,200,206,213,217,226,231,237,241,247,251,258,264,273,279,285,293,300,305,311,321,337,348,359,371,381,386,396,407,416,431,447,458,479,497,513,530,545,557,569,583,607,621,640,657,685,706,723,747,771,789,811,836,851,875,898,918,937,965,990,1021,1054,1092,1123,1158,1192,1226,1263,1305,1335,1368,1414,1455,1496,1533,1585,1619,1666,1711,1749,1790,1839,1878,1914,1945,1991,2036,2097,2133,2182,2226,2277,2329,2378,2420,2483,2549,2604,2656,2717,2777,2836,2909,2970,3045,3104,3168,3253,3340,3421,3507,3604,3687,3771,3865,3940,4025,4130,4228,4326,4425,4522,4618,4713,4817,4917,5014,5114,5226,5344,5472,5577,5709,5825,5970,6107,6255,6405,6559,6706,6840,6987,7143,7289,7440,7610,7766,7948,8115,8306,8494,8664,8848,9035,9236,9416,9623,9843,10051,10266,10498,10695,10909,11128,11369,11629,11878,12141,12378,12592,12843,13115,13375,13630,13888,14147,14441,14695,14985,15276,15576,15876,16194,16520,16852,17152,17462,17797,18113,18473,18826,19180,19532,19895,20263,20611,20997,21393,21828,22244,22684,23130,23567,24047,24499,24997,25491,25994,26514,27055,27603,28192,28748,29331,29939,30589,31199,31800,32413,33103,33781,34503,35150,35828,36546,37267,37944,38663,39376,40114,40905,41701,42434,43237,44043,44813,45609,46396,47219,48067,48892,49771,50605,51467,52364,53256,54111,54946,55747,56613,57464,58339,59256,60106,61021,61939,62873,63767,64686,65680,66643,67591,68602,69598,70595,71655,72738,73769,74810,75870,76928,78054,79225,80410,81608,82772,83937,85179,86443,87701,88993,90273,91609,92939,94290,95691,97054,98418,99827,101309,102761,104281,105688,107152,108604,110154,111727,113321,114935,116633,118329,120022,121733,123443,125115,126880,128735,130652,132532,134438,136425,138477,140468,142551,144737,146898,149144,151374,153628,155923,158175,160546,162972,165389,167698,170135,172561,175124,177693,180245,182837,185463,188077,190861,193623,196456,199403,202357,205314,208358,211514,214564,217722,220826,224084,227308,230668,234063,237508,240972,244493,248030,251673,255456,259059,262859,266837,270627,274564,278552,282572,286675,290722,294872,299090,303379,307719,312239,316804,321369,326037,330570,335261,340051,344761,349639,354655,359857,364995,370141,375204,380593,385867,391282,396632,402259,407898,413424,419121,425072,430976,436942,443071,449470,455836,462355,468833,475391,482036,488756,495619,502579,509735,516899,524254,531622,539168,546776,554487,562209,570069,578136,586135,594275,602569,610711,618970,627536,636083,644840,653652,662472,671606,680587,689892,699196,708628,718085,727763,737810,747732,757759,767728,778120,788608,799396,810190,821010,831948,843139,854750,866235,878104,889975,901948,914105,926369,938894,951405,964007,976936,990042,1003144,1016245,1029597,1043210,1056971,1070760,1084723
1,1,1,1,2,2,4,5,8,13,17,19,23,26,33,37,42,50,55,58,60,71,78,84,90,100,113,125,137,149,157,160,169,183,199,213,229,242,257,265,277,292,305,313,325,336,344,355,375,389,399,411,433,447,465,496,512,539,564,574,589,609,646,664,687,721,749,772,797,832,863,886,909,929,962,988,1004,1026,1047,1070,1092,1119,1145,1183,1217,1252,1277,1302,1334,1366,1396,1422,1459,1499,1534,1572,1618,1652,1698,1737,1766,1811,1845,1895,1949,1989,2021,2063,2102,2157,2197,2251,2294,2340,2392,2447,2496,2541,2595,2650,2697,2746,2789,2844,2905,2966,3028,3094,3152,3220,3281,3348,3408,3460,3519,3595,3665,3749,3829,3899,3952,4014,4065,4136,4197,4265,4330,4405,4473,4545,4623,4693,4770,4845,4933,5005,5091,5177,5258,5348,5434,5519,5609,5694,5800,5895,5989,6098,6192,6306,6411,6521,6619,6735,6830,6949,7043,7154,7264,7376,7469,7571,7669,7777,7879,7982,8093,8199,8303,8392,8503,8598,8700,8792,8893,9008,9127,9255,9372,9499,9623,9743,9861,9981,10103,10224,10342,10470,10601,10722,10875,10998,11131,11266,11405,11560,11683,11821,11970,12136,12287,12422,12566,12716,12857,13014,13176,13349,13491,13654,13825,13974,14127,14299,14463,14666,14862,15067,15251,15443,15655,15857,16072,16289,16497,16722,16941,17182,17432,17631,17841,18058,18293,18529,18758,18996,19248,19507,19739,19965,20243,20495,20749,21018,21274,21562,21849,22100,22365,22669,22978,23248,23545,23850,24150,24435,24756,25060,25368,25710,26010,26322,26642,26973,27289,27604,27951,28301,28688,29062,29422,29795,30152,30538,30951,31364,31770,32193,32612,32985,33394,33809,34258,34699,35161,35595,35997,36447,36922,37421,37890,38371,38818,39288,39753,40225,40729,41225,41740,42254,42785,43336,43824,44333,44919,45487,46025,46541,47087,47644,48182,48748,49319,49884,50491,51055,51713,52365,52979,53651,54313,55024,55710,56435,57130,57853,58630,59366,60125,60934,61720,62520,63328,64177,65074,66022,66926,67802,68715,69631,70587,71504,72421,73416,74424,75458,76467,77536,78652,79704,80788,81911,83029,84169,85312,86489,87700,88981,90218,91455,92745,93961,95285,96678,98049,99383,100781,102198,103644,105056,106529,107930,109473,110971,112484,114060,115699,117375,119077,120763,122420,124173,125941,127675,129455,131152,132919,134760,136625,138556,140424,142353,144302,146341,148308,150273,152298,154362,156517,158643,160741,162862,165021,167272,169433,171739,174047,176437,178791,181228,183719,186293,188920,191479,193969,196602,199245,201966,204675,207419,210196,213049,216082,219102,222107,225149,228332,231425,234517,237744,241021,244409,247739,251198,254699,258203,261599,265231,268753,272444,276096,279718,283549,287342,291226,295240,299248,303350,307420,311613,315723,319882,324100,328446,332956,337459,341951,346511,351132,355941,360830,365673,370614,375590,380733,385858,391132,396544,401951,407543,413112,418784,424517,430259,436102,442074,447927
1,1,1,1,1,1,1,1,1,4,6,8,10,11,12,13,13,16,19,19,20,20,22,23,26,28,32,38,42,48,52,58,68,76,85,99,106,114,121,135,143,146,154,164,172,182,188,194,204,214,217,226,238,253,263,268,276,286,291,310,316,325,336,343,356,369,381,388,398,414,428,445,471,491,517,534,557,583,621,649,679,708,735,760,787,825,850,880,917,951,980,1020,1052,1081,1117,1165,1203,1242,1280,1327,1381,1428,1470,1520,1568,1619,1675,1734,1794,1854,1919,1984,2049,2115,2174,2243,2309,2384,2451,2515,2590,2658,2733,2819,2909,2971,3031,3110,3189,3283,3375,3462,3554,3642,3730,3811,3895,3988,4069,4153,4259,4373,4481,4589,4689,4816,4927,5026,5132,5230,5328,5437,5534,5640,5741,5831,5937,6044,6179,6285,6402,6523,6633,6754,6883,7008,7152,7280,7434,7586,7746,7888,8030,8180,8322,8494,8633,8806,8981,9151,9312,9472,9660,9831,10003,10168,10342,10533,10722,10888,11094,11290,11472,11655,11837,12030,12229,12435,12640,12830,13009,13209,13407,13588,13770,13959,14145,14371,14578,14751,14955,15172,15374,15594,15834,16040,16286,16511,16758,16967,17220,17446,17693,17951,18241,18505,18752,19010,19277,19512,19788,20038,20320,20577,20835,21125,21390,21689,21961,22253,22540,22840,23101,23368,23642,23920,24209,24504,24782,25116,25431,25708,25968,26259,26557,26864,27165,27496,27799,28162,28483,28816,29186,29537,29896,30280,30641,31025,31456,31847,32272,32708,33127,33551,34000,34473,34931,35397,35871,36337,36864,37350,37825,38315,38824,39362,39892,40434,41001,41507,42078,42632,43204,43803,44387,44983,45575,46190,46858,47534,48169,48839,49489,50139,50863,51538,52176,52846,53533,54275,54939,55670,56433,57152,57933,58708,59445,60155,60856,61606,62332,63122,63895,64737,65503,66338,67125,68010,68831,69653,70510,71383,72285,73197,74078,74920,75773,76691,77629,78614,79639,80665,81673,82676,83674,84650,85672,86749,87824,88986,90081,91150,92265,93429,94693,95923,97229,98440,99735,101012,102338,103697,105086,106411,107797,109195,110651,112117,113542,115042,116549,118083,119595,121150,122734,124354,126061,127697,129350,131062,132757,134555,136314,138125,139916,141813,143728,145651,147715,149698,151767,153895,155999,158191,160406,162690,164890,167131,169362,171727,174084,176510,178944,181468,184018,186556,189115,191730,194346,196967,199724,202501,205316,208092,210968,213875,216672,219685,222650,225644,228791,231815,235031,238127,241436,244703,248002,251443,254833,258341,262005,265567,269210,272941,276706,280571,284523,288439,292477,296503,300610,304841,309074,313352,317730,322143,326603,331060,335688,340332,344998,349851,354653,359548,364598,369611,374738,379949,385282,390785,396347,401982,407655,413538,419341,425296,431376,437670,444011,450501,457085,463690,470321,477183,484018,490917,498001,505063,512290,519629,526994,534439,541961,549903,557670,565689,573860,581952,590399,598672,607149,615712,624246,632948,641611,650567,659424
1,1,4,5,8,11,14,17,19,23,25,27,28,30,31,33,35,43,53,63,73,78,84,91,96,108,116,125,137,141,151,158,164,171,182,193,206,213,218,228,238,243,250,257,262,265,269,275,280,283,292,297,301,305,309,315,321,329,330,332,338,346,349,353,360,368,373,381,391,397,413,429,441,458,478,501,529,552,580,602,625,653,669,689,714,741,772,798,828,875,913,953,994,1033,1064,1099,1142,1178,1209,1245,1287,1324,1356,1392,1421,1464,1504,1535,1572,1618,1660,1710,1760,1804,1858,1905,1954,2001,2047,2100,2158,2194,2240,2299,2351,2406,2467,2514,2574,2629,2675,2732,2787,2849,2906,2964,3040,3104,3176,3256,3315,3388,3458,3526,3608,3679,3748,3820,3885,3955,4026,4097,4158,4239,4329,4421,4509,4591,4682,4761,4825,4915,4997,5091,5198,5300,5407,5510,5605,5697,5791,5876,5974,6087,6196,6289,6417,6530,6633,6752,6868,6971,7069,7157,7260,7360,7466,7578,7681,7793,7896,8000,8122,8235,8331,8427,8563,8686,8819,8930,9047,9168,9287,9400,9518,9636,9743,9859,9970,10091,10226,10351,10449,10576,10711,10846,10975,11116,11263,11418,11571,11736,11906,12065,12222,12385,12555,12753,12932,13093,13273,13483,13687,13902,14116,14335,14561,14785,15018,15272,15534,15790,16025,16318,16585,16860,17135,17434,17727,18026,18326,18608,18935,19252,19599,19891,20222,20550,20886,21229,21571,21882,22213,22534,22855,23204,23561,23922,24255,24617,25040,25425,25840,26271,26709,27142,27580,28032,28510,28975,29447,29923,30430,30922,31452,31989,32504,33020,33558,34119,34692,35273,35857,36466,37099,37763,38406,39008,39623,40291,41039,41791,42496,43231,44008,44697,45479,46251,47107,47916,48725,49574,50416,51273,52117,52971,53894,54833,55794,56772,57756,58755,59785,60805,61851,62842,63950,65073,66217,67365,68485,69634,70837,72011,73274,74526,75792,77133,78396,79746,81104,82523,83873,85323,86781,88210,89627,91132,92643,94169,95727,97350,98937,100558,102209,103867,105527,107261,108950,110706,112508,114412,116319,118166,120070,121999,123992,125938,127885,129872,131985,134090,136229,138337,140432,142682,144947,147177,149379,151631,153990,156310,158683,161114,163583,166053,168488,170988,173485,176010,178669,181313,184011,186754,189584,192430,195236,198066,201018,203862,206750,209731,212777,215813,218799,221761,224874,227967,231152,234328,237443,240728,243921,247143,250383,253775,257121,260478,263920,267424,270968,274438,278014,281675,285361,289074,292756,296554,300399,304313,308294,312320,316323,320466,324615,328943,333443,337929,342379,346949,351557,356203,360951,365654,370545,375388,380354,385295,390414,395559,400951,406295,411627,417179,422679,428244,434049,439849,445720,451695,457659,463795,469920,476341,482746,489202,495843,502734,509586,516454,523510,530591,537871,545180,552640,560138,567704,575289,583041,590855,598764,606887,615292,623490,632095,640781,649543,658279,667207,676368,685582,694646,704157,713621,723283,732952,742897
1,1,1,3,4,7,11,15,17,19,20,23,28,31,38,48,56,63,72,80,91,99,107,116,125,134,150,164,177,201,220,242,263,280,304,316,341,367,392,429,464,494,521,550,583,616,644,676,707,747,777,810,842,870,900,937,962,991,1008,1033,1061,1094,1136,1174,1207,1232,1260,1293,1336,1378,1413,1452,1486,1541,1570,1624,1671,1707,1753,1806,1850,1893,1955,2006,2056,2107,2149,2206,2249,2315,2371,2435,2491,2559,2626,2685,2743,2812,2878,2942,3016,3097,3179,3253,3322,3391,3472,3553,3641,3714,3803,3897,3988,4089,4184,4286,4380,4469,4562,4658,4746,4821,4935,5053,5181,5306,5411,5531,5636,5764,5886,6018,6155,6290,6413,6540,6667,6789,6925,7060,7195,7316,7473,7604,7745,7888,8016,8161,8287,8407,8541,8701,8857,8999,9127,9259,9414,9556,9667,9852,10003,10128,10273,10382,10520,10672,10820,10976,11131,11267,11426,11581,11711,11867,12011,12173,12343,12519,12696,12850,13014,13196,13390,13572,13765,13940,14118,14310,14514,14714,14902,15105,15320,15511,15734,15944,16163,16395,16630,16862,17104,17340,17611,17829,18090,18357,18598,18857,19129,19380,19637,19908,20166,20419,20700,21006,21310,21613,21909,22193,22504,22800,23093,23366,23697,24044,24380,24685,25057,25377,25734,26078,26443,26806,27185,27520,27905,28283,28691,29118,29560,29973,30408,30870,31353,31793,32235,32726,33203,33679,34136,34624,35095,35594,36059,36581,37090,37618,38130,38650,39193,39707,40225,40818,41409,41969,42567,43183,43771,44403,45022,45631,46310,46968,47603,48346,49040,49782,50486,51275,52074,52928,53707,54556,55393,56253,57147,58040,58920,59825,60733,61694,62628,63555,64622,65581,66568,67496,68475,69519,70552,71570,72644,73654,74657,75723,76802,77853,78965,80031,81114,82222,83333,84470,85577,86724,87847,89016,90225,91475,92677,93923,95222,96580,97939,99223,100579,101981,103498,104915,106350,107813,109309,110863,112363,113912,115592,117300,119025,120764,122528,124199,125903,127725,129569,131391,133289,135205,137131,139100,141143,143178,145256,147375,149472,151685,153763,155965,158116,160273,162534,164802,167067,169298,171712,174156,176541,179008,181521,183989,186573,189201,191802,194438,197101,199849,202628,205388,208284,211185,214146,217125,220173,223180,226231,229471,232697,235898,239351,242664,246105,249558,252959,256456,260084,263760,267467,271306,275115,278978,283031,287065,291211,295355,299617,303861,308032,312429,316812,321306,325735,330432,335044,339747,344501,349509,354343,359311,364331,369497,374703,379911,385364,391081,396625,402217,407942,413799,419720,425753,431688,437791,444055,450267,456788,463448,469969,476742,483313,490264,497225,504274,511439,518586,525778,532926,540302,547641,555184,562791,570466,578367,586174,594038,601985,610076,618177,626408,634809,643488,652109,660912,669824,678835,687823,696921,706225,715783,725276,735174,744966,754850,764876,775025,785307,795764,806351,817240,827836,838872,849810,861050,872291,883689,895244,907058,918858,930790,942894,954888,967075,979508,992083,1004947,1017882,1030825,1044055
1,1,1,1,1,4,5,9,10,12,15,15,15,19,24,28,36,42,54,58,63,71,81,92,103,114,121,130,146,158,168,176,184,196,206,213,220,234,249,258,267,281,296,311,328,339,349,360,370,382,396,412,433,450,465,479,487,495,508,515,525,538,550,563,575,580,589,601,616,630,648,662,669,689,708,725,745,759,779,791,814,837,865,896,920,941,967,999,1019,1057,1096,1127,1167,1218,1271,1333,1390,1444,1494,1554,1609,1672,1732,1794,1852,1930,2003,2058,2127,2186,2249,2333,2402,2476,2552,2629,2683,2750,2818,2901,2974,3042,3111,3170,3229,3289,3370,3438,3519,3573,3642,3701,3736,3795,3867,3924,4006,4083,4155,4212,4277,4342,4401,4466,4540,4611,4679,4754,4819,4883,4978,5053,5147,5221,5290,5370,5446,5538,5636,5725,5800,5893,6000,6077,6166,6249,6358,6475,6572,6665,6784,6893,6999,7099,7196,7299,7418,7531,7660,7757,7880,7991,8136,8277,8414,8549,8701,8825,8936,9062,9195,9342,9474,9611,9736,9845,9987,10121,10252,10395,10535,10655,10782,10925,11061,11181,11321,11464,11595,11740,11873,12030,12175,12312,12464,12611,12726,12896,13032,13200,13371,13525,13677,13849,14039,14222,14363,14546,14728,14916,15100,15285,15468,15655,15870,16052,16244,16446,16642,16859,17055,17279,17502,17727,17928,18144,18382,18618,18840,19063,19275,19493,19719,19927,20121,20358,20573,20810,21040,21285,21510,21730,21968,22208,22473,22725,22983,23244,23515,23793,24068,24332,24583,24864,25157,25432,25740,26036,26338,26601,26932,27239,27521,27820,28147,28435,28758,29071,29395,29729,30078,30408,30763,31128,31519,31866,32277,32657,33053,33495,33921,34357,34792,35210,35650,36072,36493,36927,37401,37884,38371,38863,39358,39842,40295,40785,41266,41771,42271,42759,43230,43733,44271,44822,45352,45940,46487,46988,47518,48072,48676,49256,49846,50476,51066,51702,52320,52926,53551,54203,54879,55582,56270,56972,57591,58288,58994,59747,60464,61201,61916,62636,63372,64161,64898,65644,66424,67179,67987,68771,69619,70447,71268,72192,73041,74005,74908,75792,76703,77574,78500,79471,80405,81413,82401,83404,84423,85399,86414,87486,88502,89588,90670,91755,92848,94009,95259,96453,97648,98896,100149,101446,102800,104118,105443,106816,108222,109649,111073,112470,113957,115417,116797,118271,119664,121187,122662,124214,125755,127319,128903,130476,132060,133710,135441,137193,138886,140725,142558,144378,146159,148030,149896,151839,153847,155795,157849,159985,162099,164200,166417,168602,170783,172960,175278,177593,179956,182342,184771,187253,189764,192315,194918,197572,200184,202827,205586,208271,211024,213937,216838,219685,222614,225537,228407,231423,234522,237594,240769,243966,247198,250453,253799,257116,260425,263850,267361,270937,274478,277982,281597,285344,288933,292708,296382,300141,304124,308088,312156,316225,320214,324484,328829,333170,337610,341999,346375,350921,355548,360036,364790,369564,374467,379341,384260,389148,394195
1,1,1,1,1,1,1,3,3,5,6,6,7,7,9,14,18,21,21,21,21,24,30,32,36,42,48,55,60,66,71,80,92,97,99,103,114,123,125,137,148,160,168,178,184,194,205,216,222,228,236,244,246,249,257,262,266,280,287,298,306,319,328,334,338,343,348,355,367,369,382,395,409,420,431,439,448,461,476,487,501,522,542,559,585,601,621,644,662,678,695,724,744,760,784,805,831,844,870,885,909,935,953,977,1006,1037,1061,1091,1119,1149,1177,1216,1261,1302,1338,1370,1398,1433,1485,1525,1570,1615,1671,1718,1774,1835,1894,1954,2014,2072,2114,2163,2218,2273,2335,2392,2458,2517,2575,2637,2687,2741,2788,2839,2900,2945,3001,3061,3102,3159,3206,3249,3301,3351,3404,3474,3529,3581,3639,3697,3755,3827,3895,3966,4035,4105,4171,4244,4310,4373,4431,4498,4567,4635,4709,4770,4865,4933,5002,5064,5133,5227,5312,5392,5473,5572,5654,5745,5841,5942,6037,6160,6273,6407,6527,6662,6789,6923,7062,7204,7344,7523,7661,7811,7969,8110,8257,8406,8571,8734,8893,9066,9221,9376,9551,9711,9880,10044,10235,10417,10625,10792,10956,11161,11375,11573,11766,11970,12205,12422,12660,12869,13060,13316,13535,13775,13981,14218,14454,14702,14961,15215,15458,15702,15951,16182,16438,16700,16963,17218,17475,17738,18045,18323,18599,18900,19193,19511,19800,20188,20508,20861,21237,21609,22002,22371,22795,23216,23646,24107,24520,24999,25418,25930,26440,26904,27452,28012,28541,29098,29668,30265,30870,31544,32157,32790,33403,34036,34708,35408,36132,36835,37545,38286,38975,39756,40495,41220,41987,42745,43524,44345,45126,45944,46750,47623,48403,49235,50090,50928,51857,52749,53608,54484,55412,56322,57229,58165,59103,60021,61001,61993,63004,64010,65069,66136,67184,68227,69351,70467,71587,72755,73915,75111,76328,77585,78725,79900,81129,82397,83613,84926,86176,87458,88772,90075,91448,92810,94144,95504,96900,98303,99728,101206,102621,104105,105670,107200,108799,110429,112004,113646,115332,117029,118702,120387,122226,124090,125997,127868,129783,131749,133747,135786,137856,139984,142118,144345,146527,148831,151105,153458,155819,158207,160686,163145,165587,168074,170712,173278,175964,178619,181311,184016,186832,189683,192561,195499,198369,201369,204357,207453,210602,213742,216903,220165,223433,226826,230231,233636,237215,240742,244444,248088,251870,255620,259465,263451,267356,271427,275577,279715,284118,288429,292942,297558,302124,306712,311514,316289,321087,326128,331186,336417,341667,347090,352621,357978,363411,369179,374947,380764,386784,392770,398762,404889,411176,417490,423822,430211,436822,443460,450056,456956,463778,470610,477539,484761,491919,499052,506509,513929,521469,528982,536653,544434,552221,560205,568392,576530,584688,592828,601300,609764,618335,627017,635767,644639,653573,662814,671854,681166,690550,700026,709717,719422,729147,739029,749228,759390,769709,780075,790713,801455,812352,823299,834601
1,1,1,1,1,1,2,3,3,3,4,5,6,6,6,6,6,7,8,10,13,13,15,17,17,17,17,17,18,18,20,21,26,27,32,35,36,38,42,46,57,64,73,78,88,94,102,110,118,122,135,140,144,155,163,170,181,194,207,217,224,236,248,255,271,277,293,308,321,341,368,389,411,436,460,482,512,538,563,598,619,644,669,700,721,749,776,803,836,864,888,912,939,968,998,1024,1043,1076,1109,1135,1161,1190,1216,1241,1268,1291,1314,1341,1361,1379,1404,1427,1458,1480,1509,1524,1547,1580,1616,1650,1684,1710,1739,1775,1805,1835,1865,1893,1928,1952,1989,2019,2054,2086,2122,2159,2191,2224,2258,2288,2331,2361,2412,2454,2502,2536,2574,2620,2671,2703,2746,2790,2830,2882,2930,2979,3031,3081,3122,3185,3234,3276,3323,3370,3411,3457,3515,3561,3613,3675,3722,3792,3845,3907,3958,4004,4051,4106,4165,4213,4262,4324,4378,4441,4497,4558,4613,4686,4750,4798,4875,4938,5018,5090,5162,5226,5303,5377,5439,5514,5589,5651,5736,5816,5911,5981,6054,6140,6236,6342,6438,6545,6642,6748,6851,6954,7074,7176,7283,7415,7534,7647,7767,7879,7999,8125,8241,8356,8477,8599,8718,8847,8971,9082,9236,9388,9522,9669,9823,9960,10117,10260,10423,10564,10704,10851,11003,11147,11307,11485,11699,11887,12060,12225,12415,12597,12798,12998,13202,13428,13665,13907,14106,14319,14564,14804,15066,15331,15576,15833,16111,16370,16665,16939,17203,17489,17752,18027,18290,18587,18873,19161,19457,19740,20111,20400,20690,21043,21387,21710,22053,22386,22713,23101,23460,23799,24189,24577,24958,25347,25750,26170,26602,27068,27513,27942,28397,28831,29302,29788,30253,30752,31248,31793,32338,32862,33430,33986,34571,35232,35852,36539,37187,37883,38549,39268,39953,40678,41466,42236,42997,43752,44571,45404,46214,47058,47901,48692,49548,50406,51299,52225,53183,54146,55091,56047,57022,57988,58950,59951,60941,61978,63022,64095,65181,66308,67427,68562,69704,70832,71956,73146,74372,75584,76887,78175,79470,80834,82255,83640,85032,86435,87869,89283,90753,92210,93669,95110,96628,98177,99670,101273,102766,104295,105902,107520,109179,110857,112461,114187,115927,117674,119486,121244,123030,124894,126724,128568,130453,132494,134364,136280,138258,140296,142306,144418,146568,148695,150845,153050,155299,157513,159820,162145,164504,166839,169199,171629,174059,176550,179076,181608,184314,186961,189554,192263,195017,197717,200543,203375,206324,209127,212047,215027,218007,221029,224077,227165,230296,233356,236637,239825,242984,246324,249732,253060,256470,259987,263369,266811,270314,274025,277585,281202,284970,288708,292567,296434,300406,304358,308366,312401,316531,320728,324998,329379,333843,338315,342902,347304,351876,356517,361187,365892,370839,375767,380574,385620,390602,395745,400854,406099,411322,416669,422117,427653,433205,438788,444570,450304,456166,462131,468106,474109,480243,486563,493039
1,1,1,3,3,5,7,9,15,17,21,25,28,36,44,49,55,60,67,70,75,89,104,124,139,153,164,180,191,201,219,238,254,278,301,322,336,361,379,402,433,472,490,521,555,602,642,683,711,745,773,806,846,890,922,969,1009,1041,1082,1114,1156,1211,1247,1294,1339,1389,1449,1497,1564,1621,1677,1749,1831,1907,1980,2049,2107,2170,2246,2322,2390,2476,2556,2642,2740,2833,2934,3017,3121,3214,3320,3427,3533,3624,3728,3840,3951,4075,4174,4285,4401,4518,4646,4775,4908,5038,5190,5322,5441,5579,5685,5819,5957,6077,6219,6375,6534,6686,6843,6984,7119,7290,7444,7593,7776,7944,8137,8340,8587,8779,8998,9197,9431,9659,9881,10142,10376,10608,10895,11204,11475,11780,12073,12354,12648,12939,13251,13537,13853,14191,14534,14884,15247,15606,15968,16340,16724,17087,17511,17911,18299,18714,19131,19594,20020,20441,20882,21355,21812,22254,22748,23227,23701,24231,24750,25265,25798,26349,26866,27398,27959,28494,29062,29629,30176,30768,31348,31959,32558,33140,33702,34302,34937,35566,36229,36851,37475,38159,38862,39566,40301,41001,41717,42436,43211,43983,44788,45586,46308,47080,47886,48720,49589,50474,51338,52212,53143,54069,55000,55935,56934,57940,58975,60035,61094,62239,63385,64447,65625,66871,68119,69338,70580,71898,73170,74440,75738,77159,78475,79867,81263,82608,84002,85453,86862,88308,89803,91259,92754,94302,95807,97353,98935,100522,102084,103749,105468,107178,108940,110736,112500,114337,116174,117972,119865,121836,123738,125702,127653,129602,131609,133579,135656,137735,139776,141853,143985,146130,148346,150455,152695,155012,157231,159557,161821,164196,166581,168933,171383,173845,176356,178825,181310,183840,186406,189002,191596,194168,196817,199547,202364,205196,208087,211035,213977,216957,220113,223224,226329,229570,232601,235930,239212,242486,245945,249395,252962,256420,259978,263605,267306,270972,274620,278411,282209,286108,290074,294178,298292,302438,306623,310932,315145,319480,323831,328288,332822,337349,342122,346767,351587,356494,361434,366433,371699,376870,382244,387484,392797,398340,403925,409485,415046,420664,426411,432291,438146,444155,450122,456220,462345,468574,474887,481257,487699,494157,500756,507297,514108,520778,527546,534541,541385,548350,555618,562992,570489,577997,585551,593355,601200,609060,617155,625260,633639,642093,650718,659320,668260,677247,686257,695120,704436,713956,723262,732970,742801,752769,762586,772697,782838,793137,803533,813907,824594,835575,846677,857626,868776,879984,891363,902982,914648,926523,938372,950294,962676,974968,987550,1000288,1012967,1025904,1038979,1052289,1065853,1079371,1092886,1106460,1120331,1134413,1148573,1162991,1177430,1191886,1206442,1221087,1236168,1251363,1266672,1282057,1297408,1313145,1329021,1344940,1360843,1377227,1393725,1410441,1427254,1444244,1461359,1478835,1496234,1513883,1531580,1549597,1567649,1585986,1604433,1623332,1642327,1661642,1681154,1700523,1720175,1739979,1759964,1780032,1800238,1820395,1841493,1862405,1883355,1904828,1926594,1948253,1970179,1992504,2015021,2037811,2060546,2083840,2107119,2130732,2154397,2178512,2202653,2226718,2251043,2275944,2300912,2326091,2351532,2377152,2402853,2429103,2455522
1,1,2,4,6,10,10,12,14,23,26,30,31,36,44,53,65,73,90,102,109,117,130,152,167,197,208,230,244,258,282,296,318,336,352,375,386,408,424,444,463,483,498,520,540,561,577,616,639,667,689,712,733,762,787,810,848,891,935,975,1014,1061,1107,1154,1208,1266,1310,1360,1410,1457,1507,1556,1603,1651,1694,1749,1789,1844,1897,1933,1974,2008,2050,2118,2145,2190,2234,2282,2323,2359,2389,2434,2487,2528,2577,2613,2654,2692,2729,2767,2802,2843,2883,2923,2962,3005,3050,3082,3119,3156,3198,3247,3306,3347,3391,3445,3500,3545,3602,3651,3699,3769,3838,3903,3975,4041,4098,4149,4219,4276,4345,4406,4488,4552,4632,4695,4790,4884,4975,5062,5157,5248,5358,5445,5556,5671,5772,5877,5989,6091,6179,6302,6414,6506,6631,6752,6881,6968,7080,7195,7298,7412,7523,7643,7732,7830,7952,8055,8145,8259,8385,8512,8617,8717,8832,8938,9091,9206,9330,9469,9606,9751,9906,10038,10160,10299,10463,10623,10776,10923,11070,11235,11402,11598,11771,11950,12144,12326,12494,12701,12910,13112,13329,13543,13756,13976,14221,14443,14692,14950,15209,15453,15701,15953,16214,16474,16764,17073,17371,17671,17966,18256,18554,18852,19166,19495,19795,20108,20449,20788,21111,21442,21777,22113,22476,22806,23184,23535,23947,24340,24755,25154,25598,26028,26447,26907,27351,27810,28309,28782,29263,29716,30197,30689,31179,31690,32191,32711,33281,33848,34415,34993,35526,36123,36732,37318,37933,38576,39182,39783,40406,41035,41721,42380,43000,43688,44350,45049,45714,46412,47123,47899,48647,49365,50105,50890,51634,52459,53206,54026,54801,55596,56392,57240,58043,58899,59754,60582,61423,62304,63248,64176,65092,66026,66980,67971,68959,69932,70952,71997,73022,74082,75090,76146,77211,78255,79375,80565,81723,82802,84058,85252,86520,87790,89000,90234,91514,92785,94155,95435,96733,98065,99401,100725,102116,103463,104890,106331,107766,109225,110728,112100,113543,115153,116765,118332,119980,121569,123209,124955,126696,128423,130181,131947,133838,135619,137544,139452,141350,143256,145156,147145,149206,151221,153329,155393,157518,159711,161918,164023,166147,168404,170757,173080,175463,177823,180356,182897,185445,188023,190644,193276,195970,198738,201548,204313,207083,209950,212749,215722,218685,221629,224697,227760,230856,233886,237069,240225,243480,246653,249977,253311,256608,260022,263415,266915,270486,274046,277687,281376,285206,288921,292822,296686,300601,304760,308922,313033,317172,321338,325575,329931,334322,338676,343091,347527,352042,356660,361142,365810,370566,375351,380163,384896,389841,394774,399814,404878,410015,415190,420398,425797,431145,436556,442028,447576,453176,458966,464815,470603,476603,482586,488722,494874,501097,507165,513400,519847,526295,532879,539464,546219,553021,559898,566902,573977,581141,588165,595424,602690,610385,618004,625682,633430,641459,649523,657490,665739,674019,682517,691062,699788,708642,717528,726567,735642,745046,754390,763960,773374,783023,792825,802592,812462,822777,833234,843602
1,1,4,6,6,6,8,11,17,18,23,28,32,38,43,47,53,61,68,70,72,78,81,89,102,112,124,136,146,150,156,167,175,182,187,198,211,222,230,249,265,286,301,312,320,332,346,356,368,378,388,407,418,430,445,462,472,490,500,518,535,549,567,582,603,623,647,669,682,706,731,755,774,805,827,850,880,900,935,986,1031,1088,1141,1187,1223,1261,1295,1340,1388,1426,1488,1554,1619,1677,1737,1807,1875,1942,2015,2091,2167,2247,2337,2410,2492,2590,2683,2766,2855,2965,3058,3152,3238,3342,3412,3511,3619,3724,3834,3930,4025,4128,4250,4355,4458,4582,4684,4798,4931,5038,5151,5286,5417,5549,5690,5811,5934,6064,6210,6371,6531,6716,6891,7051,7227,7418,7591,7792,7989,8170,8362,8583,8800,9012,9220,9458,9686,9922,10152,10419,10668,10900,11151,11392,11637,11889,12139,12397,12668,12922,13187,13466,13765,14046,14318,14598,14888,15163,15465,15781,16122,16432,16761,17097,17410,17749,18062,18412,18776,19127,19458,19792,20141,20522,20934,21336,21749,22176,22577,22987,23437,23870,24345,24831,25320,25820,26325,26863,27424,28013,28597,29201,29785,30371,30975,31621,32257,32921,33646,34342,35087,35828,36548,37317,38072,38804,39601,40390,41204,42039,42920,43734,44583,45442,46362,47273,48185,49124,50133,51146,52168,53186,54217,55272,56311,57385,58432,59538,60657,61812,62899,64075,65222,66387,67532,68757,69974,71166,72425,73687,75012,76324,77613,78976,80308,81711,83133,84591,85991,87464,88937,90434,91968,93490,95057,96667,98239,99986,101592,103164,104712,106438,108165,109898,111589,113322,115097,116888,118727,120575,122381,124262,126206,128181,130070,132088,134015,136102,138273,140320,142471,144625,146840,149060,151388,153691,156116,158491,160867,163340,165827,168431,170960,173608,176266,178968,181707,184318,187088,189892,192823,195746,198579,201468,204439,207434,210465,213513,216663,219844,222931,226094,229364,232520,235801,239097,242619,246016,249477,253062,256600,260166,263812,267467,271337,275146,278975,282829,286758,290703,294853,298918,303090,307176,311435,315733,320097,324525,328993,333477,338043,342717,347360,351991,356795,361619,366530,371546,376545,381659,386818,391999,397301,402472,407878,413333,419117,424773,430648,436449,442442,448441,454466,460573,466829,473076,479361,485715,492268,498872,505515,512197,519129,526090,532979,540040,547179,554445,561635,569039,576596,584255,591796,599526,607269,615142,623021,630988,639120,647418,655678,664082,672437,680923,689581,698328,707156,716134,725252,734475,743725,752970,762430,771816,781344,791148,801031,811047,820961,830931,841372,851650,862398,872924,883603,894414,905471,916714,928045,939126,950835,962606,974465,986562,998632,1010917,1023286,1035634,1048349,1060993,1073821,1086776,1099938,1113318,1126841,1140508,1154276,1168522,1182790,1197156,1211815,1226194,1241229,1256348,1271247,1286444,1302053,1317630,1333280,1349410,1365380,1381543,1397953,1414362,1431357,1448371,1465514,1482852,1500362,1517998,1536063,1553890,1572059,1590279,1608870,1627456,1646144,1665333,1684469,1704041,1723555,1743483,1763758,1783888,1804143,1824670,1845412
1,1,1,1,1,3,7,8,10,13,15,20,23,25,27,33,35,38,41,43,51,57,63,70,77,82,91,97,105,114,121,126,135,142,151,163,176,191,213,226,235,247,258,264,277,298,315,334,350,366,387,407,422,442,455,480,512,536,561,580,611,646,676,711,746,771,803,845,873,897,932,969,1005,1047,1096,1152,1200,1249,1302,1346,1387,1445,1493,1540,1588,1639,1685,1734,1784,1823,1877,1920,1984,2038,2072,2130,2206,2255,2311,2375,2429,2495,2575,2638,2683,2735,2817,2885,2945,3013,3082,3157,3222,3279,3364,3433,3493,3565,3645,3742,3824,3922,4015,4117,4204,4316,4416,4510,4618,4730,4827,4943,5037,5134,5229,5338,5437,5552,5670,5787,5907,6026,6147,6256,6387,6502,6622,6739,6854,6991,7119,7260,7388,7518,7675,7809,7946,8074,8221,8368,8493,8631,8775,8934,9085,9257,9394,9567,9740,9923,10110,10304,10466,10669,10877,11042,11257,11461,11686,11885,12079,12289,12510,12736,12933,13149,13366,13622,13865,14129,14365,14642,14892,15149,15411,15669,15931,16207,16473,16777,17121,17428,17754,18045,18361,18700,19039,19367,19726,20077,20437,20799,21136,21488,21835,22192,22624,23050,23461,23913,24354,24779,25280,25730,26180,26634,27124,27631,28167,28672,29176,29691,30268,30839,31372,31945,32526,33127,33752,34371,35007,35627,36262,36861,37489,38144,38771,39437,40151,40819,41470,42099,42779,43463,44169,44813,45491,46170,46837,47584,48303,49001,49745,50500,51234,51948,52708,53435,54153,54941,55792,56638,57480,58283,59154,60026,60840,61729,62622,63462,64381,65343,66275,67233,68172,69155,70146,71117,72114,73172,74208,75230,76275,77367,78521,79640,80835,81938,83119,84340,85521,86760,87962,89244,90519,91826,93126,94435,95769,97126,98456,99882,101353,102818,104244,105745,107221,108801,110400,112004,113640,115365,117079,118800,120532,122303,124166,126045,127939,129864,131843,133776,135866,137762,139763,141984,144027,146134,148239,150437,152626,154835,157133,159354,161774,164159,166511,168887,171241,173688,176249,178813,181375,183919,186537,189213,191889,194619,197436,200254,203120,205989,208996,211913,214969,218045,221058,224166,227249,230389,233653,236965,240322,243613,246909,250381,253825,257202,260691,264344,268035,271722,275418,279082,282806,286615,290480,294435,298427,302383,306513,310560,314784,319074,323419,327844,332189,336629,341146,345669,350391,355182,359991,364754,369596,374498,379475,384484,389452,394525,399863,405248,410617,416020,421585,427156,432775,438473,444228,450255,456117,462193,468417,474675,481007,487459,493975,500526,507229,513913,520750,527668,534890,542104,549450,556946,564524,572066,579666,587454,595207,603193,611350,619500,627679,636109,644504,653301,662103,670953,679914,689184,698337,707741,717322,726940,736836,746708,756790,767072,777376,787993,798627,809585,820438,831491,842898,854333,865770,877274,889227,901275,913377,925795,938301,950799,963808,976900,990179,1003488,1017366,1031203,1044967,1059013,1073318,1087464,1102060,1116889,1131743,1146826,1162061,1177478,1192957,1208673,1224428,1240456,1256889
1,1,1,1,5,7,8,9,10,10,16,17,21,22,29,35,40,43,45,51,59,61,70,78,89,94,99,104,115,123,133,145,157,172,179,187,193,205,212,222,231,235,237,241,244,250,260,265,271,278,283,292,300,306,314,322,338,350,364,375,389,403,421,435,452,477,504,525,553,579,603,625,656,692,736,775,817,854,886,935,982,1018,1060,1108,1151,1197,1245,1298,1351,1410,1456,1513,1565,1626,1683,1729,1784,1836,1889,1946,1998,2069,2142,2210,2268,2326,2392,2453,2503,2580,2652,2728,2802,2880,2960,3039,3120,3183,3281,3358,3458,3551,3645,3734,3833,3942,4050,4163,4265,4374,4484,4582,4685,4795,4892,5003,5117,5232,5343,5457,5561,5679,5798,5921,6050,6174,6299,6460,6591,6725,6862,6975,7122,7268,7384,7565,7714,7872,8040,8236,8421,8598,8810,8993,9174,9366,9521,9757,9930,10142,10350,10540,10737,10941,11119,11323,11509,11741,11929,12135,12328,12546,12748,12972,13213,13452,13723,13990,14245,14514,14758,15044,15301,15551,15863,16166,16443,16729,17066,17409,17728,18066,18457,18837,19217,19594,19939,20331,20709,21106,21537,21960,22385,22868,23324,23767,24239,24699,25125,25587,26064,26533,27012,27555,28035,28525,29065,29601,30161,30704,31238,31776,32343,32880,33495,34102,34718,35372,36043,36668,37378,38080,38728,39370,40092,40827,41587,42317,43049,43820,44568,45338,46125,46901,47742,48563,49396,50273,51162,51998,52928,53849,54762,55707,56639,57575,58575,59587,60622,61669,62660,63705,64742,65800,66924,68019,69152,70207,71335,72471,73595,74743,75884,77039,78287,79518,80708,81909,83214,84459,85827,87151,88537,89939,91314,92762,94279,95813,97342,98885,100445,102000,103705,105384,107093,108791,110494,112327,114120,115962,117858,119745,121663,123604,125594,127542,129452,131363,133351,135431,137495,139523,141653,143696,145856,147974,150112,152254,154536,156728,158968,161378,163715,166095,168480,170931,173387,175914,178403,181024,183559,186226,188776,191452,194222,197018,199770,202643,205563,208551,211472,214509,217525,220680,223727,226880,230191,233400,236690,240032,243379,246884,250417,254011,257780,261435,265115,268816,272623,276556,280542,284601,288599,292638,296863,301184,305458,309840,314275,318686,323218,327757,332465,337212,342065,346994,351832,356796,361950,367051,372204,377337,382654,387941,393299,398669,404184,409751,415242,420948,426725,432534,438605,444439,450506,456628,462622,468793,474972,481300,487623,494157,500672,507252,513844,520699,527589,534434,541442,548512,555838,563108,570372,577765,585157,592692,600450,608401,616218,624371,632441,640401,648571,656933,665686,674168,682914,691824,700737,709681,718909,728117,737554,746877,756457,766215,776194,786130,796165,806347,816678,827154,837544,848317,859063,869840,880935,892176,903550,914942,926383,937993,949862,961657,973798,985978,998218,1010799,1023306,1035848,1048856,1061736,1074678,1087912,1101202,1114680,1128331,1142293,1156421,1170523,1184928,1199270,1213722,1228666,1243525,1258936,1274542,1290323,1306065,1321926,1338062,1354271,1370660,1387428,1404215,1421769,1439341
1,1,1,1,2,3,7,9,9,9,12,12,14,16,16,20,23,30,32,37,39,43,46,48,57,68,78,90,105,114,122,130,142,152,165,179,196,211,231,245,257,269,285,307,320,342,360,373,389,402,421,439,463,486,510,534,554,579,603,637,666,704,731,756,786,809,838,864,893,936,981,1026,1064,1106,1145,1182,1226,1266,1311,1355,1401,1440,1485,1540,1586,1633,1692,1729,1797,1852,1912,1979,2050,2119,2187,2250,2315,2369,2436,2513,2600,2716,2793,2871,2936,3005,3073,3160,3250,3339,3435,3529,3623,3717,3835,3935,4040,4132,4249,4348,4438,4528,4646,4747,4856,4968,5099,5202,5332,5451,5565,5671,5794,5905,6032,6136,6254,6369,6476,6583,6682,6792,6902,7003,7108,7224,7326,7421,7530,7641,7755,7856,7976,8082,8187,8316,8429,8549,8664,8792,8905,9015,9127,9239,9357,9478,9618,9757,9906,10053,10187,10310,10473,10628,10760,10925,11082,11245,11430,11605,11814,11983,12182,12384,12596,12802,13040,13232,13453,13673,13893,14135,14391,14646,14863,15134,15401,15658,15946,16251,16549,16876,17180,17503,17812,18117,18446,18755,19049,19352,19651,19937,20259,20571,20894,21213,21511,21815,22137,22428,22760,23070,23437,23782,24139,24471,24805,25158,25512,25861,26243,26643,26990,27380,27813,28210,28632,29040,29450,29852,30338,30790,31279,31699,32173,32658,33129,33616,34069,34584,35112,35622,36156,36687,37246,37778,38369,38932,39545,40120,40690,41386,42038,42754,43483,44207,44884,45610,46347,47116,47865,48643,49428,50296,51106,51890,52730,53595,54462,55354,56277,57246,58100,59051,59975,60891,61876,62915,63974,65028,66038,67160,68273,69360,70509,71650,72763,73905,75144,76350,77581,78820,80062,81368,82634,83937,85247,86566,87874,89253,90630,92030,93454,94892,96374,97911,99443,101062,102622,104219,105797,107412,109054,110813,112548,114273,116159,118028,119929,121923,123853,125860,127898,129887,131995,134119,136263,138452,140749,142895,145194,147528,149860,152240,154653,157109,159598,162141,164663,167201,169909,172598,175300,177987,180716,183410,186214,188974,191816,194583,197406,200248,203066,205955,208831,211865,214826,217866,220941,224016,227164,230333,233562,236819,240008,243371,246746,250214,253719,257197,260690,264294,268011,271656,275346,279053,282866,286705,290630,294495,298462,302597,306553,310663,314947,319252,323623,327911,332403,336959,341554,346276,351047,355943,360812,365728,370776,375998,381123,386289,391678,397062,402577,408031,413618,419216,424794,430421,436232,442258,448178,454301,460625,467056,473487,479931,486548,493179,499872,506730,513659,520795,528104,535456,542888,550624,558341,566175,573988,581916,589985,598276,606715,615209,623860,632656,641557,650565,659590,668600,677904,687538,697045,706753,716545,726521,736521,746673,756709,767289,777827,788642,799412,810338,821214,832250,843510,854955,866314,877902,889695,901649,913813,925853,938188,950557,962961,975680,988554,1001410,1014692,1027914,1041240,1054690,1068166,1082158,1096225,1110335,1124482,1139159,1153943,1168621,1183540,1198688,1214213,1229454,1244851
1,1,1,1,1,1,4,6,9,11,16,19,25,28,33,40,50,56,66,71,76,85,94,101,112,120,128,145,155,165,171,184,191,195,205,215,223,237,242,249,261,272,285,294,309,317,328,337,346,357,362,371,380,391,404,412,419,429,441,453,464,480,488,501,519,529,540,554,573,585,598,609,623,636,643,664,684,704,732,753,776,796,818,859,898,935,977,1014,1039,1079,1119,1154,1193,1232,1272,1314,1355,1396,1443,1488,1525,1560,1615,1654,1692,1733,1778,1820,1870,1905,1950,1999,2042,2092,2132,2183,2228,2272,2326,2378,2421,2474,2522,2581,2626,2674,2736,2776,2826,2862,2903,2956,3005,3058,3129,3182,3233,3298,3351,3408,3478,3543,3600,3659,3720,3773,3839,3890,3940,4008,4083,4157,4242,4317,4391,4469,4540,4632,4710,4796,4860,4945,5017,5076,5149,5222,5302,5393,5487,5576,5655,5749,5840,5931,6031,6124,6235,6326,6431,6529,6640,6736,6842,6972,7088,7218,7331,7448,7552,7676,7791,7919,8044,8185,8323,8488,8643,8803,8981,9153,9318,9472,9660,9839,10023,10203,10395,10602,10803,11022,11257,11463,11686,11915,12167,12398,12648,12902,13131,13387,13611,13844,14105,14372,14677,14967,15239,15529,15817,16113,16418,16724,17008,17310,17617,17902,18194,18486,18785,19059,19369,19672,19945,20251,20561,20868,21169,21482,21805,22135,22464,22779,23142,23507,23889,24234,24611,24959,25307,25679,26054,26444,26838,27255,27657,28081,28470,28893,29298,29744,30152,30565,31017,31412,31862,32336,32805,33259,33736,34191,34702,35199,35698,36225,36740,37197,37705,38246,38787,39291,39796,40351,40863,41347,41912,42485,42980,43490,44041,44650,45251,45864,46468,47021,47602,48220,48851,49408,50019,50621,51299,51962,52606,53255,53883,54516,55192,55893,56561,57249,57921,58609,59332,60069,60772,61499,62207,63006,63708,64455,65229,66016,66808,67653,68476,69348,70162,70983,71806,72662,73460,74371,75270,76165,77054,77998,78934,79886,80802,81783,82792,83790,84825,85847,86905,88029,89131,90190,91309,92479,93596,94782,95999,97304,98605,99868,101202,102541,103968,105437,106848,108373,109867,111442,113030,114603,116314,117995,119589,121350,123097,124852,126671,128444,130246,132026,133911,135770,137608,139495,141406,143385,145254,147227,149219,151177,153216,155299,157406,159509,161627,163786,166045,168232,170554,172909,175346,177709,180178,182648,185279,187934,190684,193320,195966,198734,201551,204406,207329,210285,213372,216454,219653,222841,226044,229258,232506,235714,239093,242434,245934,249330,252601,256152,259664,263411,267001,270751,274579,278404,282228,286161,290221,294285,298406,302447,306806,310953,315198,319521,323991,328488,333016,337526,342223,346914,351772,356524,361416,366389,371470,376659,381816,387340,392734,398387,403918,409576,415308,421073,426941,432952,439138,445396,451735,457993,464435,471064,477734,484560,491349,498282,505269,512404,519589,526805,534067,541562,548999,556602,564357,572070,580014,587849,595654,603893,612057
1,1,1,1,1,1,1,3,5,7,7,8,9,9,11,13,15,20,24,30,31,39,42,45,51,57,65,71,75,83,87,97,106,118,129,139,151,161,170,178,184,190,202,203,213,217,221,226,232,242,249,252,257,264,266,271,275,279,280,285,292,298,304,307,314,315,315,318,321,323,330,334,338,347,355,360,363,366,372,380,387,393,402,415,419,424,433,439,450,461,470,474,488,499,502,514,519,528,540,551,560,564,569,578,584,591,607,619,623,631,637,642,648,663,677,691,701,710,723,738,754,769,789,811,832,848,862,879,895,909,931,944,960,973,993,1007,1020,1036,1050,1077,1097,1107,1121,1135,1144,1158,1170,1179,1189,1198,1210,1223,1233,1241,1254,1267,1279,1288,1301,1306,1314,1319,1327,1336,1346,1356,1365,1371,1387,1399,1408,1420,1438,1459,1468,1477,1492,1503,1518,1533,1547,1553,1566,1586,1601,1612,1624,1634,1647,1661,1684,1705,1734,1752,1773,1799,1823,1845,1863,1886,1905,1934,1964,1993,2022,2046,2063,2087,2104,2122,2144,2170,2198,2219,2244,2265,2290,2303,2320,2341,2363,2387,2405,2422,2451,2476,2497,2520,2539,2554,2576,2591,2610,2623,2636,2661,2680,2704,2715,2739,2775,2795,2817,2849,2882,2900,2929,2968,2992,3026,3059,3085,3111,3142,3180,3223,3271,3311,3351,3395,3426,3471,3511,3559,3608,3655,3695,3741,3790,3836,3883,3941,3987,4045,4108,4166,4215,4275,4344,4405,4470,4524,4586,4643,4699,4765,4840,4905,4975,5045,5118,5194,5282,5358,5415,5488,5574,5648,5728,5805,5893,5974,6051,6140,6218,6288,6374,6444,6525,6630,6725,6828,6918,7029,7135,7228,7329,7430,7527,7630,7721,7813,7936,8025,8135,8258,8393,8542,8669,8786,8903,9022,9150,9273,9400,9518,9640,9761,9886,10013,10155,10273,10397,10522,10670,10796,10934,11067,11183,11312,11474,11612,11762,11922,12061,12215,12366,12521,12662,12825,12993,13152,13330,13512,13660,13837,14006,14188,14372,14550,14742,14945,15161,15379,15597,15819,16036,16243,16497,16741,16984,17246,17496,17755,18035,18284,18539,18794,19051,19307,19551,19784,20075,20336,20610,20887,21183,21467,21760,22061,22357,22653,22905,23240,23521,23799,24065,24353,24633,24937,25242,25534,25836,26139,26457,26779,27073,27377,27685,28031,28354,28640,28965,29287,29626,29946,30275,30609,30976,31285,31638,31940,32288,32596,32961,33316,33665,34017,34366,34733,35091,35426,35788,36129,36508,36848,37216,37591,37977,38323,38683,39073,39456,39865,40260,40701,41153,41536,41931,42391,42831,43299,43748,44220,44679,45123,45566,46085,46547,47027,47522,48008,48526,49036,49533,50032,50595,51112,51659,52258,52882,53509,54110,54749,55386,56022,56688,57406,58098,58832,59547,60320,61058,61776,62534,63311,64069
1,1,1,4,6,8,9,10,10,12,13,13,15,18,18,18,19,19,19,20,20,21,22,23,27,27,28,30,38,47,57,62,67,74,77,82,94,109,125,133,149,157,173,186,207,229,245,265,280,295,314,329,350,371,394,424,441,466,485,499,523,548,568,595,611,627,641,665,693,719,745,778,803,829,858,895,921,948,981,1015,1042,1073,1100,1122,1149,1162,1187,1211,1237,1264,1286,1304,1326,1353,1381,1406,1432,1464,1491,1514,1536,1561,1586,1618,1643,1677,1722,1766,1805,1841,1886,1934,1985,2037,2083,2134,2192,2237,2289,2362,2422,2475,2516,2569,2629,2679,2748,2799,2855,2900,2967,3036,3089,3152,3219,3280,3333,3392,3439,3498,3555,3605,3665,3733,3805,3879,3936,4000,4065,4140,4217,4299,4370,4450,4562,4663,4768,4853,4964,5050,5163,5283,5373,5481,5597,5712,5840,5959,6071,6203,6331,6464,6618,6770,6923,7051,7222,7339,7484,7653,7808,7937,8113,8281,8465,8626,8819,9017,9193,9380,9596,9833,10038,10269,10476,10662,10862,11098,11365,11582,11823,12086,12311,12554,12799,13040,13300,13571,13832,14122,14425,14723,14987,15275,15566,15838,16120,16397,16695,16963,17269,17585,17930,18284,18651,18995,19362,19748,20131,20506,20910,21305,21739,22168,22613,23080,23536,23980,24441,24932,25437,25883,26384,26882,27398,27893,28361,28897,29386,29897,30401,30929,31457,32014,32569,33141,33745,34303,34915,35548,36193,36860,37496,38134,38796,39466,40141,40817,41477,42200,42971,43679,44437,45152,45877,46608,47401,48244,49078,49909,50724,51655,52553,53448,54307,55194,56133,57032,58040,58986,59964,60960,61966,62997,63994,65059,66119,67145,68226,69316,70418,71563,72772,73920,75117,76325,77518,78827,80127,81446,82678,83979,85190,86583,87924,89291,90734,92152,93558,95046,96431,97897,99448,101042,102600,104248,105910,107707,109502,111227,112987,114791,116562,118457,120276,122158,124046,125948,127985,129960,131968,134055,136145,138321,140474,142679,144770,146925,149083,151281,153516,155750,158022,160497,162932,165366,167817,170233,172781,175392,178029,180678,183431,186157,188948,191727,194585,197516,200476,203443,206524,209597,212655,215851,219114,222329,225460,228867,232299,235663,239147,242632,246030,249553,253145,256758,260314,263942,267758,271577,275496,279463,283385,287362,291382,295506,299816,304031,308244,312606,317114,321615,326147,330678,335249,339908,344717,349485,354410,359409,364369,369466,374606,379726,384998,390310,395752,401276,406891,412415,418239,424189,430170,436135,442172,448225,454305,460585,466994,473377,479876,486505,493150,499959,506609,513292,520396,527588,534673,541893,549256,556638,564025,571496,579111,586960,594877,602838,610992,619285,627561,636071,644615,653206,661988,670965,679983,689259,698563,707799,717393,727108,736972,746750,756874,767046,777424,787852,798397,809094,819805,830478,841487,852533,863492,874630,886053,897797,909361,921205,933098,945013,957073,969390,981798,994315,1006958,1019717,1032638,1045426,1058665,1071852,1085294,1098749,1112563,1126292,1140339
1,1,1,1,1,1,1,1,3,3,5,7,9,11,13,13,14,15,16,17,18,23,27,33,37,42,46,51,58,65,67,75,92,97,105,120,129,138,144,152,163,169,174,186,194,204,217,227,241,249,266,280,294,313,329,344,356,373,389,403,423,446,463,479,500,522,553,574,611,629,654,683,710,744,767,798,831,861,891,921,952,989,1023,1046,1073,1096,1116,1153,1177,1203,1229,1257,1280,1300,1329,1352,1382,1409,1437,1459,1482,1509,1532,1559,1591,1625,1650,1682,1709,1736,1771,1803,1837,1868,1899,1935,1976,2013,2053,2094,2139,2169,2212,2249,2289,2320,2364,2410,2444,2484,2522,2556,2592,2634,2662,2710,2741,2792,2837,2876,2913,2961,3007,3061,3105,3154,3189,3241,3304,3366,3431,3476,3554,3637,3692,3762,3820,3880,3958,4021,4109,4180,4261,4341,4415,4492,4573,4649,4732,4805,4886,4954,5008,5083,5149,5232,5298,5375,5444,5509,5570,5634,5721,5805,5893,5964,6041,6126,6217,6282,6357,6438,6527,6627,6722,6812,6898,6987,7098,7187,7285,7372,7465,7566,7668,7751,7840,7961,8066,8172,8291,8407,8518,8646,8739,8852,8972,9093,9217,9348,9493,9624,9738,9886,10030,10167,10317,10473,10624,10759,10917,11060,11204,11352,11527,11681,11845,12006,12183,12357,12507,12679,12857,13027,13203,13389,13587,13794,14001,14183,14361,14551,14753,14935,15143,15349,15584,15821,16046,16301,16526,16765,17024,17283,17513,17755,18025,18293,18575,18838,19071,19332,19576,19817,20086,20340,20611,20887,21159,21441,21714,21988,22237,22490,22762,23065,23360,23669,23969,24286,24579,24859,25161,25484,25815,26140,26452,26774,27125,27471,27812,28164,28533,28908,29286,29661,30016,30423,30837,31254,31647,32045,32463,32878,33341,33786,34208,34661,35100,35566,36060,36547,37046,37498,37968,38435,38908,39439,39923,40417,40959,41488,42018,42563,43050,43522,44011,44474,44996,45502,46022,46578,47118,47694,48270,48865,49414,49980,50560,51180,51754,52358,53010,53617,54268,54872,55495,56149,56812,57483,58125,58830,59519,60177,60854,61567,62278,62924,63623,64346,65083,65794,66494,67271,68002,68784,69562,70344,71100,71878,72649,73431,74185,74967,75774,76671,77507,78410,79349,80248,81151,82087,83043,84022,84980,85919,86913,87884,88904,89861,90892,91956,93022,94072,95228,96327,97416,98501,99568,100831,102077,103258,104497,105724,106990,108282,109581,110940,112307,113621,114978,116422,117812,119253,120745,122232,123725,125254,126830,128453,130031,131657,133360,135036,136790,138561,140348,142201,143974,145821,147586,149421,151339,153248,155202,157171,159211,161126,163112,165143,167183,169246,171400,173541,175706,177825,180037,182204,184603,186882,189293,191691,194207,196678,199260,201792,204395,207000,209587,212278,215041,217858,220831,223775,226763,229688,232802,235808,239008,242303,245531,248840,252281,255646,259047,262426,265973,269448,273002,276658,280269,283928,287659,291479,295332,299127,303019
1,1,1,1,1,1,1,1,3,3,4,5,8,13,15,17,19,23,28,30,34,41,45,50,59,62,69,82,94,101,104,116,122,133,143,146,153,157,164,169,179,189,196,208,213,218,228,235,243,247,252,255,267,269,277,281,291,299,307,320,332,353,368,386,403,409,424,442,459,479,504,540,569,605,637,671,713,752,801,833,859,903,934,975,1004,1042,1080,1115,1154,1192,1227,1277,1324,1361,1405,1442,1488,1536,1586,1625,1674,1717,1773,1802,1850,1899,1941,1988,2045,2105,2169,2224,2293,2356,2415,2478,2549,2617,2692,2769,2852,2925,3004,3082,3182,3257,3342,3442,3537,3647,3730,3833,3921,4014,4102,4196,4298,4384,4478,4577,4694,4781,4854,4945,5032,5117,5207,5315,5416,5500,5596,5668,5746,5841,5931,6009,6101,6203,6314,6405,6512,6615,6730,6844,6969,7094,7209,7319,7449,7593,7724,7858,8008,8149,8305,8451,8623,8802,8975,9148,9322,9517,9682,9863,10065,10266,10488,10708,10914,11129,11330,11545,11784,11986,12221,12447,12675,12926,13196,13443,13724,13987,14272,14534,14793,15100,15376,15665,15990,16349,16715,17055,17424,17757,18129,18492,18891,19305,19737,20182,20569,20947,21372,21780,22233,22672,23143,23626,24126,24584,25067,25579,26091,26622,27149,27724,28270,28886,29448,30072,30644,31309,31951,32610,33288,33966,34644,35343,36073,36832,37622,38406,39226,39998,40859,41647,42519,43411,44269,45161,46101,47099,48083,49021,49959,50981,52047,53142,54165,55267,56371,57448,58564,59660,60781,61886,63052,64199,65429,66656,67863,69050,70304,71489,72708,73913,75236,76461,77718,79064,80362,81822,83180,84603,86019,87425,88916,90432,91943,93499,95035,96623,98239,99950,101583,103232,104970,106634,108421,110212,112052,113939,115813,117743,119702,121679,123689,125738,127911,130004,132145,134180,136376,138570,140813,143110,145456,147814,150213,152624,155091,157565,160092,162708,165380,167931,170526,173318,176086,178891,181800,184755,187697,190693,193708,196857,199986,203040,206196,209344,212649,215886,219268,222655,226117,229564,233095,236655,240316,243997,247764,251702,255517,259536,263451,267420,271483,275554,279741,284017,288379,292620,297097,301528,306084,310577,315139,319818,324500,329379,334201,339210,344084,349098,354197,359263,364552,369796,375199,380495,385963,391254,396674,402351,407937,413686,419447,425360,431208,437296,443276,449522,455756,462042,468374,474890,481365,488043,494577,501438,508368,515444,522620,529697,536978,544369,551779,559588,567294,575121,583179,591334,599434,607626,616155,624536,633186,641779,650631,659442,668405,677308,686506,695849,705255,714813,724484,733901,743608,753551,763567,773717,783931,794161,804464,814988,825729,836574,847552,858525,869718,881180,892679,904288,915986,928032,940034,952326,964765,977022,989581,1002222,1014976,1027911,1041085,1054457,1068076,1081738,1095447,1109417,1123514,1137844,1152004,1166650,1181373,1196316,1211392,1226709,1242061,1257747,1273640,1289610,1305726,1322127,1338698,1355519,1372447,1389801,1407189,1424722,1442556,1460460,1478879,1497203,1515630,1534347,1553249
1,1,1,1,2,3,3,7,7,8,9,9,12,12,15,18,19,20,22,25,32,38,44,47,51,58,65,69,73,78,85,97,106,115,126,138,146,159,169,176,185,190,195,203,211,220,226,236,239,245,250,255,256,257,260,266,267,272,277,281,286,290,293,295,297,299,304,312,314,316,321,324,330,339,345,349,351,359,367,372,381,389,402,412,424,431,441,453,470,485,499,519,538,564,582,604,633,653,666,692,707,733,759,784,810,831,854,879,901,923,943,969,999,1020,1040,1056,1074,1098,1115,1135,1157,1185,1204,1222,1238,1258,1288,1312,1335,1361,1403,1444,1469,1508,1552,1598,1647,1691,1748,1795,1841,1901,1955,2026,2078,2137,2199,2260,2333,2397,2443,2529,2598,2659,2742,2815,2904,3001,3089,3161,3226,3312,3389,3486,3596,3701,3788,3878,3948,4053,4152,4243,4333,4463,4579,4677,4785,4883,5010,5128,5266,5386,5504,5642,5751,5881,6004,6127,6230,6345,6456,6608,6726,6861,7019,7170,7294,7435,7587,7731,7885,8041,8216,8370,8554,8744,8909,9099,9286,9444,9620,9813,10042,10260,10449,10677,10909,11140,11311,11543,11763,11976,12197,12422,12644,12867,13065,13276,13505,13691,13917,14168,14382,14609,14876,15153,15416,15648,15913,16155,16431,16675,16914,17172,17420,17672,17962,18220,18510,18792,19065,19347,19629,19906,20193,20490,20797,21094,21422,21781,22148,22489,22844,23195,23547,23917,24283,24650,25039,25415,25811,26230,26665,27074,27506,27921,28358,28835,29224,29671,30133,30598,31031,31453,31916,32437,32913,33395,33920,34426,34932,35432,35959,36519,37080,37671,38260,38847,39412,40012,40674,41325,41955,42644,43350,44074,44802,45528,46333,47094,47940,48759,49616,50497,51383,52278,53170,54061,54937,55848,56763,57675,58663,59579,60565,61527,62498,63517,64514,65537,66496,67545,68584,69642,70749,71919,73029,74236,75443,76672,77905,79120,80451,81699,83001,84293,85639,86964,88296,89670,91130,92563,93958,95401,96830,98280,99782,101254,102755,104315,105870,107431,109017,110665,112273,114016,115741,117462,119134,120916,122639,124343,126155,127995,129879,131753,133651,135547,137468,139421,141434,143463,145506,147621,149740,151984,154206,156505,158674,161057,163356,165801,168225,170677,173195,175792,178414,180989,183547,186252,189041,191861,194688,197616,200517,203533,206591,209628,212770,215961,219187,222326,225595,228949,232256,235577,238904,242391,245855,249355,252992,256564,260331,263960,267868,271639,275543,279480,283458,287355,291195,295160,299179,303282,307486,311700,316038,320412,324824,329302,333858,338607,343331,348061,352960,357894,362911,368011,373134,378381,383644,389167,394615,400015,405680,411419,417206,423175,429144,435224,441415,447605,454120,460640,467134,473686,480361,487135,494015,501017,508002,515209,522632,529826,537447,544901,552665,560491,568389,576184,584333,592490,600730,609271,617483,625949,634380,642888,651607,660393,669347,678269,687364,696583,705705,714960,724290
1,1,1,1,1,2,4,4,6,6,6,8,10,12,14,18,22,24,25,26,26,30,33,35,37,41,48,53,64,71,79,92,100,107,112,118,123,138,144,158,165,171,179,184,194,199,206,213,219,227,233,245,260,265,276,282,297,306,316,335,343,355,368,381,401,422,445,469,495,533,564,598,637,669,696,723,755,789,816,843,873,909,946,975,1007,1044,1081,1112,1153,1185,1216,1256,1288,1337,1369,1413,1454,1491,1523,1553,1579,1607,1642,1676,1705,1732,1758,1797,1831,1868,1895,1917,1967,2002,2046,2087,2116,2156,2197,2244,2283,2315,2350,2411,2462,2513,2563,2635,2691,2745,2794,2847,2893,2935,2986,3056,3124,3184,3257,3311,3371,3436,3495,3545,3595,3650,3729,3791,3845,3911,3975,4040,4091,4145,4192,4246,4321,4397,4452,4518,4573,4626,4707,4779,4853,4928,4981,5044,5109,5173,5231,5296,5363,5441,5505,5552,5626,5706,5773,5842,5924,5995,6048,6105,6168,6228,6291,6351,6411,6479,6549,6620,6717,6798,6875,6967,7075,7175,7264,7351,7433,7543,7644,7734,7826,7918,8010,8106,8207,8305,8411,8529,8635,8741,8829,8933,9059,9188,9306,9426,9548,9674,9796,9910,10043,10165,10311,10468,10612,10758,10905,11048,11215,11367,11509,11687,11869,12031,12198,12366,12538,12731,12920,13111,13285,13472,13649,13843,14045,14251,14448,14653,14857,15062,15282,15504,15709,15919,16141,16360,16579,16784,16997,17210,17466,17721,17995,18237,18505,18757,19015,19262,19534,19841,20158,20465,20729,21041,21338,21650,21961,22269,22581,22912,23271,23610,23977,24324,24695,25082,25469,25859,26288,26662,27046,27437,27843,28242,28644,29089,29531,29973,30384,30813,31233,31683,32135,32601,33079,33540,34024,34506,34995,35489,35989,36474,37013,37555,38150,38702,39279,39852,40428,41006,41645,42234,42867,43476,44145,44819,45505,46154,46803,47445,48124,48796,49484,50114,50829,51509,52229,52957,53643,54397,55119,55885,56639,57364,58171,58972,59772,60555,61353,62195,63060,63921,64840,65747,66657,67564,68422,69356,70297,71265,72215,73179,74120,75095,76078,77026,78089,79122,80155,81163,82234,83289,84425,85569,86771,87946,89198,90381,91567,92772,94008,95250,96550,97939,99226,100531,101892,103261,104650,106066,107476,108900,110322,111728,113148,114654,116059,117556,119009,120540,122044,123593,125133,126718,128281,129806,131354,132927,134561,136201,137938,139589,141283,142985,144720,146463,148258,150074,151889,153805,155661,157497,159346,161250,163160,165199,167169,169222,171206,173275,175343,177412,179439,181558,183735,185880,188086,190302,192544,194832,197166,199511,201787,204119,206435,208884,211261,213710,216169,218700,221241,223823,226399,229003,231667,234418,237312,240057,242951,245792,248775,251648,254679,257654,260654,263742,266787,269914,273322,276608,279912,283383,286941,290321,293910,297645,301384,305191,309072,312938,316780,320682,324759,328970,333151,337297,341442,345685,349877,354214,358523,362949,367361
1,1,1,3,3,3,3,3,3,4,7,9,12,16,21,25,31,33,38,43,53,58,67,75,81,84,98,108,121,130,138,150,158,164,172,187,197,202,208,213,224,225,228,232,235,241,244,253,256,258,263,267,269,275,278,279,280,280,284,287,291,294,299,304,310,315,318,323,332,342,347,354,367,371,375,379,387,395,400,411,417,424,440,451,462,477,490,505,520,526,540,548,562,573,588,599,617,640,656,671,685,696,714,740,759,774,792,807,828,847,861,876,900,918,943,967,993,1030,1054,1083,1105,1134,1162,1191,1217,1245,1279,1311,1358,1394,1421,1450,1479,1519,1556,1592,1632,1664,1705,1738,1779,1813,1853,1879,1915,1958,2002,2044,2086,2136,2176,2234,2271,2306,2344,2390,2424,2460,2513,2566,2606,2656,2707,2753,2809,2851,2889,2956,3012,3067,3131,3195,3259,3332,3393,3454,3531,3612,3676,3750,3831,3905,3997,4073,4148,4225,4319,4416,4520,4603,4695,4774,4855,4932,5037,5140,5226,5317,5419,5524,5619,5707,5787,5887,5971,6062,6174,6273,6399,6488,6582,6682,6814,6950,7078,7210,7341,7437,7565,7690,7814,7954,8091,8228,8363,8500,8632,8749,8888,9030,9180,9326,9465,9618,9757,9878,10024,10178,10326,10468,10604,10725,10854,10996,11151,11319,11474,11604,11743,11901,12050,12211,12354,12489,12662,12837,13009,13142,13296,13445,13611,13767,13942,14127,14292,14500,14710,14892,15069,15264,15473,15709,15944,16161,16422,16656,16910,17139,17388,17661,17923,18213,18494,18790,19048,19361,19640,19943,20275,20575,20896,21191,21521,21821,22150,22504,22825,23167,23495,23829,24158,24533,24891,25203,25538,25865,26230,26632,27026,27431,27858,28317,28692,29109,29598,30046,30540,31077,31617,32135,32615,33112,33659,34187,34720,35247,35794,36342,36927,37514,38093,38730,39334,39935,40545,41172,41810,42400,43044,43665,44314,45042,45677,46353,47061,47730,48455,49184,49906,50624,51381,52146,52927,53639,54457,55280,56067,56867,57685,58593,59440,60342,61239,62131,62948,63809,64715,65644,66593,67584,68575,69528,70568,71593,72648,73676,74649,75733,76823,77892,79052,80140,81298,82516,83694,84869,86067,87286,88540,89824,91205,92496,93796,95137,96492,97891,99257,100706,102137,103634,105076,106569,108043,109620,111186,112793,114362,115934,117546,119182,120770,122436,124144,125887,127731,129582,131473,133318,135193,137074,139025,140985,142990,144996,147091,149211,151334,153493,155631,157876,160039,162331,164628,166932,169348,171709,174131,176470,178999,181422,183938,186514,189005,191564,194153,196810,199477,202158,204885,207770,210569,213436,216347,219376,222419,225424,228476,231650,234797,238126,241290,244564,247969,251341,254780,258289,261769,265242,268819,272597,276237,279927,283706,287503,291271,295089,298886,302899,306829,310751,314767,318905,323148,327338,331650,336052,340458,344788,349251,353724,358329,363129,367777,372674,377631,382873,387967
1,1,1,1,5,8,11,12,17,23,27,30,34,40,46,54,64,73,83,104,113,132,146,164,178,188,204,218,237,263,286,315,334,359,380,405,433,463,489,513,538,568,593,609,640,677,709,734,767,799,832,857,889,918,946,987,1035,1062,1092,1139,1179,1227,1272,1304,1333,1369,1395,1431,1471,1514,1548,1582,1624,1664,1704,1763,1812,1859,1909,1952,1986,2043,2088,2148,2231,2282,2336,2404,2476,2532,2601,2647,2707,2776,2831,2911,2979,3050,3142,3227,3332,3438,3534,3637,3737,3828,3920,4021,4138,4249,4363,4478,4601,4741,4860,4991,5101,5269,5393,5532,5664,5796,5923,6042,6154,6282,6424,6567,6673,6796,6923,7073,7231,7364,7482,7623,7764,7901,8050,8197,8342,8497,8633,8786,8917,9069,9237,9403,9549,9723,9910,10094,10309,10501,10694,10901,11121,11370,11620,11858,12116,12372,12629,12879,13140,13407,13716,14002,14283,14583,14853,15139,15482,15804,16111,16410,16722,17028,17358,17668,17998,18352,18675,19017,19375,19721,20034,20386,20733,21093,21451,21819,22200,22577,22987,23381,23807,24215,24604,25023,25427,25860,26259,26708,27121,27536,27984,28470,28913,29358,29833,30313,30801,31316,31840,32397,32915,33409,33892,34454,35000,35519,36033,36620,37200,37780,38331,38936,39521,40114,40746,41379,41981,42614,43265,43882,44514,45229,45916,46625,47383,48094,48857,49591,50355,51130,51916,52714,53497,54332,55162,55983,56853,57625,58478,59332,60169,61022,61924,62805,63702,64535,65390,66317,67208,68182,69084,70016,70968,72012,72980,73967,75023,76111,77102,78250,79316,80369,81446,82527,83701,84806,85867,87005,88178,89333,90482,91706,92913,94142,95342,96530,97784,98947,100170,101384,102680,103888,105170,106533,107884,109195,110477,111820,113175,114507,115870,117191,118611,120017,121483,122963,124440,125948,127449,129058,130615,132181,133811,135395,136977,138614,140314,142099,143858,145575,147348,149131,150916,152846,154668,156611,158575,160538,162476,164453,166496,168601,170725,172845,175009,177222,179472,181750,184054,186360,188752,191188,193577,196120,198751,201271,203869,206515,209158,211841,214620,217279,220118,223010,225934,228913,231741,234827,237861,240886,244090,247217,250348,253558,256874,260257,263686,267137,270705,274196,277846,281398,285003,288753,292554,296428,300286,304322,308398,312505,316664,320754,324925,329197,333572,337884,342504,346837,351306,355725,360284,364941,369591,374306,379086,384017,388940,393922,398814,403925,409067,414196,419429,424648,429885,435415,440880,446409,451963,457757,463572,469416,475331,481461,487646,493965,500135,506445,512953,519607,526239,532963,539760,546706,553620,560391,567614,574807,581875,589181,596440,603866,611427,618950,626853,634612,642491,650302,658446,666581,674807,683083,691463,699876,708478,717093,725696,734409,743359,752436,761544,770407,779654,789131,798469,808206,817755,827659,837599,847802,857882,868216,878874,889377,900082,910759,921598,932585,943912,955289,966772,978459,990356,1002420,1014429,1026914,1039491,1052131,1065021,1078088,1091179,1104359,1117726,1131261,1144724,1158609,1172562,1186807,1201401,1215928,1230574
1,1,1,1,1,1,4,5,6,8,9,9,11,11,13,21,24,27,29,30,30,32,33,34,35,40,44,52,56,59,65,73,82,91,98,106,111,121,127,135,150,155,167,171,181,191,199,212,221,224,230,242,250,259,281,291,301,311,323,336,346,355,367,376,389,398,411,423,439,450,457,468,478,488,496,504,514,520,529,545,558,570,582,593,601,608,618,623,633,635,639,648,655,662,668,676,684,697,703,709,721,737,751,760,771,789,796,804,810,819,830,840,856,867,874,888,896,902,914,921,930,937,942,946,957,961,967,975,980,986,994,1000,1003,1008,1015,1020,1026,1033,1036,1040,1044,1046,1050,1055,1056,1060,1063,1066,1067,1070,1072,1073,1074,1075,1075,1075,1075,1075,1075,1076,1076,1078,1078,1078,1079,1079,1080,1081,1082,1082,1082,1085,1085,1085,1085,1085,1085,1085,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
1,1,1,3,3,5,6,6,9,10,10,11,15,19,20,22,25,31,33,41,43,45,48,58,66,73,77,79,89,99,100,106,111,117,118,129,134,144,151,156,159,166,174,177,184,201,206,212,225,230,238,245,251,260,273,283,296,304,315,324,332,343,350,362,371,377,389,399,410,416,429,441,456,466,478,492,511,523,539,550,570,591,607,626,639,653,669,689,701,720,752,781,807,828,864,882,911,935,960,983,1012,1040,1072,1095,1121,1147,1172,1197,1217,1240,1265,1287,1316,1352,1378,1401,1425,1462,1494,1531,1565,1601,1651,1691,1721,1761,1816,1850,1898,1963,2028,2095,2144,2201,2260,2320,2386,2436,2503,2574,2646,2722,2806,2896,2991,3077,3162,3226,3303,3393,3504,3604,3725,3827,3923,4031,4149,4258,4362,4460,4564,4660,4778,4887,5012,5138,5266,5393,5534,5674,5781,5893,6034,6178,6307,6441,6566,6703,6825,6959,7100,7245,7400,7517,7641,7783,7910,8051,8177,8329,8471,8626,8750,8903,9040,9192,9344,9513,9665,9846,9998,10172,10359,10530,10709,10906,11083,11247,11441,11614,11810,12005,12233,12425,12636,12856,13063,13280,13461,13714,13948,14189,14464,14698,14949,15206,15469,15724,15975,16242,16496,16762,17039,17329,17608,17905,18172,18494,18782,19098,19408,19743,20042,20371,20699,21049,21352,21667,22008,22313,22662,23002,23367,23728,24091,24477,24870,25229,25604,26008,26404,26810,27224,27609,28032,28419,28808,29217,29665,30129,30622,31120,31615,32144,32652,33210,33779,34301,34874,35419,35968,36510,37105,37667,38243,38870,39465,40151,40800,41447,42050,42698,43326,44030,44665,45309,45973,46612,47289,47958,48651,49375,50125,50878,51593,52359,53094,53857,54588,55323,56116,56928,57745,58585,59401,60191,61047,61906,62778,63646,64593,65517,66462,67388,68360,69344,70367,71346,72404,73496,74521,75583,76716,77828,78999,80192,81359,82622,83786,85021,86292,87542,88867,90190,91571,92950,94278,95669,97075,98520,99990,101525,103039,104566,106091,107799,109399,111113,112799,114506,116231,118083,119852,121602,123495,125340,127199,129144,131121,133114,135030,136899,138991,141092,143223,145342,147541,149699,151873,154153,156390,158733,161135,163547,166042,168387,170836,173389,175982,178571,181255,183821,186582,189436,192135,194963,197846,200741,203651,206570,209616,212652,215799,218951,222232,225498,228813,232244,235643,238962,242468,246027,249568,253101,256818,260610,264409,268205,272013,275880,279742,283622,287570,291571,295655,299716,303787,308052,312318,316597,320991,325260,329670,334287,338795,343469,348099,352732,357465,362134,366973,371901,376692,381663,386668,391586,396764,401971,407258,412556,417868,423327,428856,434447,440022,445701,451493,457310,463229,469165,475266,481431,487690,493982,500345,506730,513391,519977,526719,533520,540214,547152,554003,560991,568061,575421,582654,590035,597541,605085,612742,620434,628403,636456,644401,652803,661207,669589,678038,686559,695362,703947,713117,722250,731376,740570,750047
1,1,1,1,1,1,1,1,2,4,5,6,9,9,10,12,15,20,22,24,30,34,40,46,52,57,63,76,89,100,110,122,136,153,177,195,212,228,243,268,289,312,335,352,374,393,422,443,470,487,511,528,548,570,591,610,632,662,685,714,730,755,779,803,833,871,887,918,943,976,1006,1031,1071,1100,1127,1161,1188,1223,1275,1309,1349,1393,1442,1488,1528,1562,1608,1657,1701,1751,1796,1843,1894,1944,1985,2034,2083,2142,2188,2243,2289,2329,2368,2413,2454,2499,2547,2588,2633,2675,2729,2756,2791,2835,2882,2921,2965,3011,3044,3089,3126,3176,3203,3248,3285,3335,3375,3410,3453,3492,3536,3593,3634,3678,3719,3771,3811,3862,3918,3970,4042,4089,4147,4210,4275,4321,4383,4441,4508,4584,4656,4720,4791,4876,4941,5011,5071,5141,5225,5296,5367,5431,5505,5587,5647,5714,5782,5860,5946,6023,6099,6164,6241,6318,6387,6479,6573,6640,6721,6782,6853,6924,7008,7105,7187,7276,7378,7472,7561,7663,7777,7894,8014,8126,8240,8354,8452,8568,8671,8786,8897,9002,9115,9220,9347,9464,9577,9697,9813,9962,10090,10226,10367,10512,10684,10866,11039,11190,11393,11572,11763,11955,12138,12336,12524,12718,12941,13131,13353,13546,13750,13983,14203,14445,14680,14937,15174,15414,15668,15915,16179,16420,16670,16908,17139,17381,17646,17907,18145,18427,18698,19006,19276,19552,19806,20088,20372,20655,20931,21220,21483,21780,22068,22348,22662,22936,23270,23546,23889,24202,24562,24878,25240,25606,25943,26308,26689,27058,27429,27849,28313,28737,29189,29643,30086,30551,31009,31470,31983,32445,32948,33475,33989,34511,35014,35544,36055,36578,37122,37683,38228,38766,39327,39865,40448,41065,41650,42305,42934,43527,44154,44792,45487,46188,46919,47656,48373,49103,49846,50619,51389,52127,52998,53758,54583,55386,56186,56999,57836,58671,59542,60388,61327,62233,63112,63977,64931,65927,66796,67791,68802,69785,70827,71838,72845,73913,74936,75998,77055,78136,79268,80455,81614,82809,84026,85219,86402,87718,89060,90426,91797,93216,94634,96011,97461,99017,100559,102119,103635,105238,106896,108529,110181,111972,113671,115391,117162,119009,120869,122714,124620,126525,128457,130460,132397,134397,136340,138411,140524,142575,144631,146780,148963,151224,153380,155605,157988,160352,162740,165182,167653,170190,172749,175271,177915,180492,183246,185921,188612,191388,194167,196979,199844,202803,205653,208561,211548,214455,217482,220538,223669,226789,229954,233152,236291,239631,243023,246404,249856,253359,257012,260644,264270,267938,271741,275645,279526,283441,287466,291503,295580,299748,303948,308255,312537,317048,321536,325972,330554,335201,339918,344650,349486,354376,359289,364285,369294,374383,379580,384833,390089,395501,400870,406246,411705,417314,422835,428583,434300,440166,446184,452234,458360,464517,470892,477352,484015,490772,497409,504240,510999,517817,524770,531920,539089,546452,553768,561162,568732,576137,583559,591246,599039,606770,614755,622843,630890
1,1,1,4,5,7,12,14,16,18,20,23,27,31,32,34,41,48,50,57,65,74,87,94,103,111,123,133,141,147,153,162,174,187,196,214,221,244,258,271,282,293,304,321,339,351,362,381,409,432,458,473,495,528,560,589,630,660,702,736,775,817,852,903,940,980,1028,1073,1130,1185,1248,1307,1353,1396,1451,1495,1544,1597,1640,1720,1790,1870,1943,2015,2080,2139,2217,2285,2346,2426,2507,2587,2673,2744,2818,2887,2962,3036,3113,3196,3300,3377,3457,3531,3634,3730,3825,3900,3997,4082,4184,4292,4398,4491,4593,4692,4792,4914,5028,5138,5252,5362,5498,5618,5757,5868,5994,6120,6231,6348,6462,6588,6719,6825,6950,7082,7199,7310,7441,7554,7672,7786,7917,8058,8196,8314,8420,8527,8649,8764,8871,8981,9096,9212,9335,9457,9589,9743,9868,10004,10138,10300,10435,10589,10757,10898,11048,11191,11330,11492,11643,11791,11972,12148,12319,12484,12648,12828,13007,13185,13368,13536,13710,13851,14027,14213,14400,14577,14769,14953,15140,15337,15527,15730,15906,16128,16346,16555,16759,16991,17233,17474,17697,17942,18167,18422,18667,18942,19187,19464,19755,20045,20308,20583,20870,21148,21436,21758,22059,22375,22696,23001,23315,23649,23968,24296,24650,24963,25285,25654,26000,26408,26793,27146,27529,27877,28233,28641,29043,29398,29782,30174,30556,30922,31305,31722,32124,32539,32961,33367,33820,34255,34713,35154,35606,36047,36550,36991,37459,37981,38522,39050,39583,40118,40632,41177,41750,42314,42844,43440,44014,44655,45278,45896,46541,47185,47849,48470,49148,49783,50443,51123,51836,52513,53229,53915,54675,55378,56101,56851,57550,58328,59105,59905,60656,61449,62214,62995,63839,64633,65482,66336,67173,68039,68922,69776,70638,71532,72476,73452,74390,75322,76314,77338,78388,79424,80522,81545,82662,83749,84858,86034,87204,88379,89553,90706,91893,93170,94390,95629,96915,98212,99534,100875,102233,103582,105016,106378,107790,109284,110804,112258,113755,115293,116836,118449,120006,121643,123328,125060,126822,128560,130283,132071,133855,135659,137497,139359,141292,143157,145065,147044,149008,151139,153175,155332,157474,159663,161807,163936,166242,168546,170861,173295,175703,178149,180632,183173,185769,188342,190943,193558,196266,198970,201709,204559,207397,210202,213031,215990,218872,221835,224864,228002,231016,234074,237194,240500,243719,247132,250480,253852,257332,260831,264313,267906,271606,275477,279273,283137,287002,290827,294704,298755,303046,307117,311455,315755,320121,324536,329051,333601,338332,343095,347906,352772,357748,362769,367935,373126,378348,383608,388941,394380,399977,405543,411121,416754,422351,428348,434204,440132,446205,452339,458501,464809,471105,477626,484215,490889,497628,504254,510937,518021,525028,532114,539417,546602,553917,561350,568919,576631,584389,592198,600000,607872,615859,624104,632282,640545,649014,657458,666041,674735,683602,692475,701486,710663,719902,729156,738526,747907,757697,767458,777493,787584,797953,808275,818551,829224,839772,850703,861925,873143,884449,896132,907798
1,1,2,4,8,8,10,12,13,22,24,25,25,25,29,35,48,53,60,64,74,81,88,91,94,99,114,131,140,152,161,176,187,194,201,213,228,234,239,249,259,271,279,291,298,311,325,344,363,382,395,413,433,457,475,490,508,527,546,575,607,635,669,698,726,753,792,829,877,915,944,978,1014,1059,1102,1139,1202,1242,1294,1336,1381,1430,1483,1530,1583,1624,1672,1738,1795,1860,1925,1975,2045,2119,2189,2250,2330,2396,2467,2565,2633,2715,2795,2888,2980,3060,3145,3239,3326,3428,3508,3585,3680,3760,3856,3945,4038,4141,4237,4331,4409,4508,4614,4701,4799,4896,4997,5090,5193,5297,5400,5516,5652,5760,5876,5993,6117,6258,6404,6537,6694,6837,6959,7085,7230,7406,7553,7739,7907,8075,8229,8391,8568,8742,8910,9098,9278,9458,9659,9852,10033,10228,10429,10637,10845,11064,11270,11481,11683,11903,12104,12291,12518,12732,12957,13191,13441,13713,13966,14189,14432,14722,15001,15294,15592,15821,16111,16401,16682,17007,17291,17594,17910,18203,18523,18801,19120,19431,19719,20069,20387,20699,21014,21323,21634,21993,22337,22726,23087,23464,23842,24191,24570,24935,25297,25674,26056,26470,26861,27265,27613,28031,28434,28837,29250,29680,30102,30565,30987,31419,31847,32282,32745,33217,33712,34181,34643,35119,35636,36114,36626,37167,37729,38276,38824,39391,39957,40535,41137,41753,42388,43035,43705,44388,45039,45721,46439,47147,47916,48709,49442,50211,51060,51896,52660,53470,54334,55180,56042,56832,57708,58569,59469,60335,61169,62062,63003,63927,64871,65785,66672,67637,68586,69564,70566,71592,72658,73752,74841,75915,77076,78223,79384,80607,81827,83125,84429,85752,86951,88286,89651,90978,92359,93715,95158,96595,98056,99565,101103,102596,104115,105719,107367,109020,110655,112401,114087,115826,117555,119358,121083,122916,124699,126525,128366,130310,132225,134125,136071,137960,139913,141887,143853,145842,147865,149911,152008,154083,156166,158275,160450,162690,164870,167084,169362,171746,174086,176481,178955,181299,183769,186377,188949,191535,194120,196782,199410,202191,204949,207719,210529,213366,216246,219237,222205,224996,227962,231011,234149,237201,240224,243400,246698,250037,253285,256747,260189,263654,267212,270875,274489,278212,282038,285832,289577,293540,297563,301469,305500,309615,313771,318055,322289,326678,331000,335284,339873,344514,349107,353748,358473,363275,368168,373107,378231,383363,388631,393923,399302,404781,410198,415870,421607,427457,433237,439055,445075,451142,457419,463598,469730,476033,482467,488879,495329,501961,508763,515551,522325,529286,536225,543392,550597,557745,565174,572530,580146,587767,595396,603200,611103,618991,626897,634914,643057,651605,660040,668788,677524,686351,695324,704396,713578,722756,732161,741778,751576,761290,771365,781384,791663,802033,812487,823238,834005,844871,856124,867332,878760,890192,901735,913490,925483,937606,949811,962190,974712,987295,999886,1012858,1025814,1039022,1052406,1065780,1079472,1093111,1107135,1120725,1134632,1148786,1163124,1177463,1191934,1206810,1221497,1236467,1251441
1,1,1,1,1,1,1,3,6,6,6,7,9,11,11,11,11,11,11,12,14,19,23,28,30,37,43,50,52,56,63,69,75,90,105,113,121,129,135,144,153,169,179,184,194,202,207,218,233,240,255,265,279,295,311,324,335,352,360,369,386,403,420,438,456,473,495,522,540,551,571,587,614,636,664,689,714,739,768,787,818,844,872,904,932,961,983,1005,1037,1058,1088,1109,1129,1165,1190,1218,1244,1264,1286,1314,1328,1351,1377,1399,1436,1466,1488,1525,1567,1598,1629,1669,1710,1769,1811,1848,1895,1931,1991,2045,2104,2167,2221,2289,2361,2420,2491,2569,2632,2705,2795,2887,2971,3046,3129,3213,3282,3361,3438,3538,3637,3726,3805,3900,4006,4106,4219,4323,4415,4540,4664,4782,4879,5003,5121,5242,5360,5493,5649,5787,5934,6084,6229,6371,6550,6706,6866,7041,7224,7413,7575,7763,7933,8117,8297,8476,8678,8874,9046,9228,9430,9655,9858,10068,10296,10520,10741,10986,11220,11459,11731,12033,12292,12575,12840,13135,13454,13737,14063,14411,14755,15080,15421,15762,16113,16494,16834,17197,17573,17969,18380,18784,19208,19622,20076,20539,20986,21447,21900,22348,22852,23335,23841,24373,24886,25441,25967,26464,27054,27613,28165,28749,29329,29922,30506,31102,31724,32357,33012,33603,34238,34899,35630,36334,37007,37666,38329,39043,39774,40525,41219,41945,42707,43472,44220,44983,45753,46537,47290,48083,48893,49703,50524,51356,52253,53207,54035,54914,55771,56699,57639,58625,59658,60654,61794,62811,63913,65040,66180,67333,68505,69663,70888,72111,73389,74717,76005,77243,78594,79855,81210,82553,83958,85359,86772,88273,89678,91194,92695,94262,95787,97307,98822,100414,101969,103668,105294,106954,108616,110336,112075,113736,115479,117243,119049,120869,122800,124626,126435,128273,130244,132125,134149,136152,138160,140168,142291,144372,146451,148668,150865,153097,155270,157516,159856,162209,164644,167024,169448,171951,174348,176957,179462,182081,184720,187392,190038,192826,195605,198415,201260,204139,207152,210207,213165,216265,219294,222353,225419,228546,231846,235113,238458,241848,245392,249016,252593,256202,259888,263654,267504,271348,275392,279371,283374,287509,291722,296036,300363,304745,309145,313593,318067,322736,327438,332210,336953,341866,346734,351759,356946,362134,367401,372713,378124,383627,389202,394745,400454,406195,412256,418222,424291,430592,436856,443215,449473,455928,462429,469137,475842,482613,489545,496475,503610,510751,517974,525203,532655,539967,547506,555068,562728,570413,578169,586179,594176,602147,610384,618675,627132,635674,644361,652969,661744,670616,679627,688763,698080,707392,716684,726240,736044,745722,755534,765439,775643,785858,796238,806550,817182,827760,838696,849440,860503,871676,882902,894147,905735,917436,929365,941347,953307,965394,977712,990241,1002730,1015598,1028291,1041110,1054236,1067406,1080587,1094231,1107892,1121598,1135428,1149624,1163881,1178267,1192785,1207364,1222130,1237486,1252788,1268341,1283799,1299769,1315811,1331951,1348065,1364449,1380986,1397848,1414645,1431829,1448994
1,1,1,1,1,2,4,5,6,7,7,10,11,12,16,20,26,34,39,51,56,61,71,82,87,95,109,118,135,153,169,176,193,206,221,241,258,278,289,303,323,344,362,386,407,421,445,464,496,527,555,590,625,658,686,723,757,805,847,890,936,978,1026,1075,1124,1170,1222,1279,1338,1398,1448,1499,1552,1614,1673,1733,1794,1860,1919,2004,2080,2140,2211,2283,2349,2429,2498,2574,2640,2709,2769,2827,2899,2966,3016,3077,3156,3233,3312,3385,3476,3554,3628,3707,3802,3896,4006,4112,4224,4319,4403,4513,4615,4723,4829,4940,5046,5158,5259,5377,5501,5616,5729,5848,5983,6107,6221,6349,6464,6585,6687,6817,6967,7113,7252,7391,7515,7655,7778,7927,8058,8211,8358,8507,8663,8822,8980,9159,9342,9525,9692,9857,10045,10247,10432,10627,10839,11029,11221,11438,11636,11823,12024,12242,12471,12740,12977,13172,13383,13608,13827,14055,14310,14548,14808,15045,15313,15594,15814,16055,16310,16542,16805,17044,17312,17603,17893,18167,18445,18770,19075,19368,19706,19991,20307,20637,20987,21303,21643,21990,22329,22698,23031,23380,23770,24128,24507,24878,25225,25595,25940,26336,26767,27204,27652,27999,28418,28861,29328,29732,30132,30592,31017,31493,31918,32374,32844,33331,33839,34333,34811,35281,35804,36319,36838,37356,37935,38497,39072,39623,40200,40754,41340,41981,42554,43188,43811,44420,45083,45713,46380,47018,47631,48291,48976,49670,50321,50998,51711,52373,53082,53795,54543,55248,55993,56741,57537,58333,59151,60002,60813,61666,62546,63475,64373,65303,66209,67148,68161,69239,70297,71375,72428,73526,74720,75873,77048,78139,79290,80496,81783,82993,84233,85476,86683,88022,89233,90579,91834,93087,94389,95766,97093,98501,99911,101314,102799,104125,105489,106973,108407,109834,111302,112846,114322,115889,117446,119014,120644,122316,124040,125680,127359,129052,130757,132576,134367,136174,138058,139868,141641,143496,145311,147249,149114,151017,152869,154839,156834,158789,160786,162801,164856,166940,169014,171111,173236,175477,177644,179950,182216,184539,186871,189251,191622,194086,196547,199081,201659,204336,206994,209707,212651,215382,218214,221028,223873,226818,229898,232800,235814,238932,242001,245149,248363,251661,254819,258239,261660,265024,268483,272023,275672,279324,283209,287034,290856,294685,298772,302820,307046,311190,315510,319876,324305,328820,333467,338078,342796,347623,352511,357416,362484,367649,372880,378068,383329,388559,393950,399448,404983,410546,416129,421818,427493,433403,439209,445137,451128,457271,463473,469887,476220,482788,489434,496048,502740,509568,516388,523321,530175,537212,544426,551683,559258,566660,574130,581761,589380,597224,605072,613065,621322,629512,637789,646138,654460,663067,671811,680504,689452,698561,707791,717013,726166,735393,744847,754529,764460,774408,784366,794663,805036,815420,826098,836660,847418,858336,869535,880785,892169,903575,915251,926932,938643,950518,962706,975077,987600,1000390,1013052,1025739,1038429,1051461,1064662,1078099,1091723,1105532,1119518,1133141,1147192,1161409,1175737,1190328,1205059,1219936,1234977
1,1,1,2,4,4,5,6,6,9,12,18,19,20,22,25,27,28,32,36,41,52,62,65,70,77,86,98,113,121,132,144,152,162,179,191,199,210,224,234,245,253,263,275,293,304,316,328,347,363,387,412,437,454,475,500,521,548,586,615,638,670,706,745,788,817,864,899,948,998,1048,1106,1152,1205,1257,1316,1369,1429,1487,1532,1596,1662,1724,1789,1861,1931,2004,2092,2166,2243,2322,2403,2474,2561,2655,2746,2828,2910,3014,3114,3219,3323,3433,3547,3637,3745,3851,3965,4072,4204,4315,4434,4570,4680,4817,4947,5075,5209,5325,5447,5590,5716,5862,6013,6146,6329,6458,6595,6722,6877,7036,7173,7306,7459,7611,7772,7901,8030,8159,8325,8471,8611,8736,8864,8986,9126,9254,9384,9523,9672,9793,9936,10100,10257,10422,10575,10721,10857,11021,11188,11336,11506,11697,11851,12016,12191,12375,12548,12744,12925,13089,13324,13484,13651,13842,14027,14221,14422,14613,14816,15001,15178,15376,15542,15748,15914,16118,16310,16484,16686,16866,17062,17255,17442,17646,17887,18114,18341,18541,18759,18970,19196,19431,19652,19881,20126,20383,20617,20882,21141,21432,21698,21991,22299,22583,22875,23184,23508,23785,24075,24395,24725,25016,25343,25690,26032,26363,26722,27108,27488,27882,28278,28653,29070,29462,29874,30289,30706,31148,31634,32095,32601,33065,33561,34035,34528,35018,35538,36053,36561,37087,37616,38148,38693,39218,39783,40317,40867,41459,42021,42625,43183,43760,44389,45021,45678,46326,46952,47532,48156,48794,49423,50071,50710,51393,52112,52742,53388,54053,54719,55409,56111,56808,57521,58241,58900,59590,60370,61139,61981,62708,63526,64355,65179,65997,66875,67756,68633,69544,70453,71407,72358,73287,74254,75221,76207,77220,78226,79283,80385,81504,82646,83717,84799,85945,87074,88191,89389,90500,91656,92805,94061,95281,96578,97864,99166,100453,101836,103146,104483,105883,107271,108757,110241,111752,113314,114767,116293,117889,119429,121003,122667,124301,125954,127654,129399,131055,132796,134568,136297,138094,139949,141735,143511,145424,147260,149162,151123,153035,154964,156921,158833,160844,162838,164916,167096,169243,171440,173613,175832,178087,180400,182703,185081,187470,189963,192421,194882,197380,199876,202592,205295,208051,210688,213408,216231,219151,222068,225010,227845,230831,233870,236967,240089,243291,246545,249746,253083,256392,259887,263219,266643,270139,273592,277261,280927,284538,288380,292104,295988,299821,303817,307857,312058,316359,320628,324904,329161,333505,337879,342356,346906,351479,356017,360749,365358,370267,375265,380203,385221,390225,395278,400551,405897,411239,416824,422334,427876,433410,439000,444798,450763,456716,462827,468892,475093,481405,487764,494155,500802,507349,514001,520714,527500,534476,541382,548550,555789,562991,570337,577757,585348,593055,600672,608545,616598,624795,632873,641359,649805,658314,667059,675950,684925,693953,703108,712531,722033,731556,740993,750554,760280,770124,780132,790203,800395,810767,821197,831824,842597,853630,864495,875413,886716,898024,909722,921422
1,1,1,1,3,4,6,7,7,8,8,8,10,11,16,19,29,39,48,54,64,72,81,86,101,112,122,138,149,153,164,174,183,191,201,211,215,227,232,239,243,250,262,279,294,305,316,324,342,352,367,381,390,403,418,435,453,478,496,516,530,547,570,589,605,623,647,678,703,735,762,786,806,843,878,901,928,962,991,1028,1063,1095,1135,1160,1196,1230,1271,1328,1372,1412,1459,1517,1578,1624,1679,1730,1787,1848,1909,1969,2036,2118,2191,2248,2326,2399,2461,2541,2614,2680,2750,2812,2898,2972,3039,3126,3207,3290,3355,3425,3494,3577,3660,3730,3792,3867,3939,4005,4084,4163,4229,4306,4386,4460,4510,4574,4637,4701,4774,4859,4948,5023,5107,5179,5259,5358,5436,5509,5593,5696,5781,5894,6011,6121,6234,6334,6451,6589,6708,6825,6958,7104,7238,7381,7526,7706,7881,8029,8195,8368,8527,8696,8846,8997,9148,9291,9438,9595,9739,9887,10043,10200,10348,10498,10654,10810,10952,11110,11288,11446,11598,11750,11915,12089,12254,12453,12656,12801,12957,13132,13310,13503,13716,13883,14060,14255,14429,14622,14811,15025,15228,15413,15596,15770,15950,16127,16344,16557,16748,16964,17179,17397,17582,17779,17985,18208,18398,18609,18829,19066,19317,19533,19778,20011,20244,20498,20752,21025,21276,21517,21799,22042,22276,22525,22769,23032,23278,23534,23795,24057,24324,24576,24851,25105,25362,25623,25885,26147,26419,26705,26968,27258,27507,27765,28051,28336,28615,28893,29192,29511,29836,30140,30411,30720,31037,31393,31705,32084,32427,32773,33148,33507,33851,34212,34615,35045,35437,35839,36271,36723,37189,37632,38099,38549,39006,39478,39940,40431,40908,41385,41856,42318,42827,43317,43829,44333,44812,45280,45765,46242,46781,47284,47778,48256,48773,49291,49788,50340,50871,51417,51944,52489,53038,53538,54113,54626,55163,55730,56275,56883,57478,58064,58682,59295,59940,60545,61175,61838,62485,63147,63808,64494,65170,65861,66563,67296,68033,68766,69520,70259,71023,71801,72644,73493,74305,75188,76083,76893,77852,78756,79656,80624,81490,82438,83377,84276,85176,86157,87119,88106,89187,90183,91178,92274,93329,94363,95421,96494,97579,98654,99818,100957,102182,103354,104622,105802,107070,108331,109701,110908,112266,113600,114906,116296,117724,119187,120704,122215,123752,125333,126922,128495,130059,131677,133378,135142,136876,138667,140489,142406,144210,146062,147994,149898,151875,153863,155986,157995,160094,162230,164496,166568,168818,171136,173380,175644,177965,180271,182627,185101,187590,190106,192646,195141,197772,200408,203076,205680,208523,211344,214203,217019,219869,222741,225676,228588,231627,234849,237974,241132,244490,247808,251155,254543,258059,261575,265147,268875,272514,276398,280238,284053,287997,291969,295969,300041,304221,308469,312723,317086,321451,325892,330281,334863,339427,343990,348676,353448,358144,362973,367945,373042,378078,383323,388677,394089,399486,405081,410785,416565,422464,428427,434539,440683,446903,453174,459489
1,1,1,1,1,1,1,1,1,2,3,4,8,11,17,17,17,17,20,24,29,35,39,50,51,59,71,76,83,93,102,112,121,131,140,149,156,162,179,193,208,217,225,236,244,253,259,270,282,291,308,321,334,356,375,392,405,422,434,448,462,475,487,508,524,546,563,583,604,631,657,690,709,731,765,804,844,878,919,958,989,1019,1069,1114,1149,1195,1238,1302,1356,1418,1460,1508,1567,1618,1661,1726,1772,1826,1883,1941,2000,2063,2111,2155,2206,2265,2325,2378,2417,2462,2495,2550,2606,2647,2695,2740,2793,2836,2875,2917,2955,2998,3048,3093,3135,3171,3206,3247,3297,3357,3406,3459,3509,3568,3636,3702,3753,3825,3896,3957,4030,4108,4184,4254,4325,4400,4493,4576,4653,4751,4815,4904,5013,5099,5195,5299,5388,5479,5571,5654,5743,5824,5906,5992,6080,6188,6281,6365,6467,6569,6653,6740,6818,6921,7016,7096,7171,7259,7356,7466,7562,7665,7766,7871,7957,8041,8137,8235,8332,8455,8573,8661,8763,8871,8983,9087,9189,9296,9420,9555,9682,9805,9919,10043,10159,10279,10377,10506,10615,10745,10878,10996,11106,11210,11321,11437,11560,11676,11776,11892,11990,12105,12216,12360,12497,12629,12763,12877,13021,13192,13348,13509,13636,13791,13955,14123,14287,14446,14627,14797,14963,15165,15345,15525,15721,15946,16153,16370,16583,16805,17042,17288,17533,17811,18028,18280,18521,18810,19093,19402,19645,19934,20206,20492,20820,21120,21403,21701,22002,22317,22618,22944,23272,23592,23911,24263,24596,24947,25322,25674,26025,26389,26778,27154,27534,27952,28363,28783,29179,29577,30003,30456,30906,31310,31756,32181,32667,33189,33701,34192,34721,35205,35719,36236,36800,37366,37905,38487,39072,39671,40226,40822,41426,42078,42712,43339,44016,44682,45371,46071,46750,47420,48148,48876,49627,50375,51179,51927,52732,53473,54240,55054,55930,56773,57636,58462,59318,60171,61054,61945,62770,63681,64552,65518,66453,67356,68417,69465,70489,71491,72523,73548,74580,75635,76731,77787,78844,80010,81154,82270,83447,84621,85828,87078,88308,89615,90847,92115,93424,94765,96193,97513,98888,100298,101702,103135,104595,106095,107559,109031,110538,112065,113600,115150,116684,118318,119888,121435,123055,124648,126215,127873,129485,131257,132979,134665,136434,138202,139932,141707,143529,145388,147249,149153,151148,153134,155108,157103,159178,161389,163594,165649,167877,170102,172265,174496,176873,179226,181637,184069,186532,189083,191635,194184,196871,199498,202152,204815,207503,210276,213235,216104,218984,221872,224859,227845,230964,234009,237129,240260,243430,246588,249900,253211,256534,260006,263389,266886,270442,273982,277615,281180,284884,288589,292360,296152,299967,303873,307694,311589,315596,319557,323767,327896,332033,336293,340674,345100,349412,353849,358434,363023,367659,372548,377312,382238,387277,392463,397791,402882,408264,413702,419495,425071,430723,436613,442615,448596,454769,460998,467307,473590,480065,486759,493390,500257,507102
1,1,2,4,4,6,8,12,12,13,14,16,16,16,16,16,16,16,24,26,28,28,29,35,39,42,53,57,59,63,65,67,69,74,80,89,97,107,119,124,141,152,164,175,183,192,210,218,226,230,243,251,256,264,275,285,290,294,303,312,330,338,352,365,368,381,388,398,405,415,428,444,456,469,481,487,499,514,532,543,554,565,578,589,595,609,623,630,639,645,651,662,669,688,699,715,720,730,737,746,755,773,786,808,823,834,849,865,884,903,930,952,977,994,1012,1034,1066,1094,1127,1161,1191,1234,1271,1315,1347,1395,1429,1460,1512,1563,1602,1646,1697,1749,1805,1860,1923,1998,2055,2113,2160,2223,2278,2340,2411,2474,2536,2606,2678,2753,2826,2898,2977,3059,3127,3212,3284,3360,3441,3523,3585,3681,3771,3859,3943,4045,4146,4245,4359,4478,4575,4656,4770,4872,4975,5078,5195,5311,5432,5539,5646,5777,5917,6037,6160,6275,6388,6525,6663,6785,6940,7075,7225,7389,7544,7697,7843,7985,8164,8353,8533,8705,8880,9056,9247,9448,9627,9803,9992,10184,10407,10603,10801,11009,11213,11439,11631,11822,12063,12288,12538,12774,13014,13287,13534,13802,14045,14266,14543,14820,15103,15373,15662,15992,16299,16610,16939,17315,17673,18025,18401,18752,19144,19519,19933,20343,20725,21099,21489,21910,22350,22801,23274,23764,24245,24717,25212,25658,26122,26563,27000,27467,27952,28433,28897,29372,29869,30334,30800,31280,31762,32230,32727,33265,33767,34282,34772,35307,35848,36433,36981,37584,38185,38802,39427,40022,40697,41358,42056,42752,43471,44230,44968,45648,46352,47114,47905,48729,49501,50303,51098,51970,52752,53592,54420,55222,56143,57005,57907,58745,59664,60566,61487,62418,63469,64425,65372,66406,67460,68528,69624,70806,71961,73190,74429,75638,76858,78145,79422,80729,82086,83459,84896,86314,87743,89236,90764,92228,93770,95320,96939,98582,100295,101956,103566,105354,107145,108963,110799,112679,114578,116519,118468,120472,122445,124580,126578,128685,130842,133070,135188,137443,139668,141850,144133,146466,148896,151301,153780,156258,158746,161336,163899,166476,169068,171658,174415,177179,180046,182900,185804,188710,191607,194508,197534,200676,203857,207145,210384,213746,217168,220714,224212,227754,231241,234953,238564,242232,245942,249941,253892,257866,261857,266047,270177,274336,278359,282650,286861,291296,295608,300067,304604,309251,313918,318545,323301,328072,333078,337952,342998,348098,353199,358428,363523,368789,374214,379625,385101,390575,396126,401784,407607,413338,419297,425331,431157,437367,443463,449604,455878,462206,468574,475083,481561,488272,495058,501969,508852,515725,522727,529698,536839,544209,551807,559234,566896,574637,582380,590369,598367,606557,614645,622859,631503,640109,648627,657250,666102,675028,683948,692976,702321,711664,721176,730982,740892,750963,760894,771162,781545,791901,802442,813130,823839,834888,845924,857170,868510,879934,891720,903401,915420,927525,939867,952348,964892
1,1,3,6,7,8,10,12,15,17,22,32,42,56,62,75,88,99,114,127,142,159,175,189,222,244,267,295,322,359,391,424,453,492,516,546,587,617,642,670,705,736,773,793,829,860,895,925,969,997,1042,1074,1112,1144,1175,1211,1251,1300,1338,1381,1427,1470,1518,1574,1629,1690,1754,1818,1886,1955,2019,2090,2165,2260,2341,2414,2479,2550,2625,2687,2762,2845,2906,2973,3043,3115,3190,3245,3308,3397,3476,3551,3624,3709,3805,3900,3987,4055,4149,4235,4325,4418,4504,4602,4694,4809,4928,5048,5165,5272,5381,5496,5616,5720,5826,5946,6068,6196,6318,6429,6582,6712,6821,6965,7096,7232,7360,7495,7634,7805,7955,8132,8301,8473,8656,8836,9016,9170,9355,9560,9780,9963,10155,10352,10549,10739,10945,11156,11382,11589,11820,12055,12279,12481,12695,12933,13190,13453,13702,13946,14223,14474,14731,14971,15249,15522,15784,16068,16327,16597,16874,17177,17459,17751,18089,18392,18699,18999,19279,19580,19915,20222,20511,20819,21127,21427,21711,21989,22304,22605,22939,23220,23539,23841,24165,24491,24811,25148,25483,25823,26137,26455,26794,27139,27500,27860,28206,28592,28990,29391,29806,30189,30604,31067,31494,31949,32401,32862,33353,33791,34250,34712,35200,35692,36179,36662,37143,37664,38183,38682,39211,39799,40343,40893,41431,41959,42534,43107,43751,44349,44966,45563,46174,46757,47357,47956,48560,49163,49807,50454,51063,51689,52361,52997,53634,54278,54939,55567,56203,56882,57520,58140,58841,59550,60230,60947,61729,62478,63272,64052,64810,65594,66454,67273,68076,68905,69721,70590,71477,72425,73326,74232,75155,76095,77014,77938,78944,79957,80992,82008,83051,84149,85199,86310,87450,88508,89670,90779,91910,93016,94155,95381,96520,97702,98947,100181,101423,102717,103920,105155,106438,107777,109085,110414,111736,113090,114514,115971,117373,118707,120179,121550,123057,124562,126122,127726,129306,130838,132453,134067,135658,137314,138995,140687,142439,144125,145891,147725,149501,151389,153233,155208,157122,158995,160958,162919,164977,167072,169197,171283,173334,175515,177729,179974,182189,184363,186669,188996,191350,193659,196070,198477,200843,203304,205715,208199,210780,213347,215915,218554,221170,223878,226518,229248,232125,234968,237783,240623,243488,246460,249375,252323,255446,258599,261770,265038,268276,271692,274950,278358,281905,285311,288936,292429,296182,299931,303694,307445,311316,315077,319030,323021,327238,331436,335700,339894,344188,348629,352936,357283,361848,366441,371096,375728,380495,385261,390189,395154,400029,405140,410322,415522,420764,426123,431598,437101,442651,448282,453911,459641,465604,471551,477656,483771,489992,496404,502721,509128,515578,522198,528994,535798,542636,549364,556293,563263,570309,577589,584929,592366,599983,607475,615071,622786,630712,638585,646561,654772,662977,671293,679594,688167,696751,705558,714302,723348,732428,741432,750813,760049,769640,779103,788807,798791,808798,818819,829027,839318,849957,860553,871591,882519,893699,904697,916159,927659,939347,951059,962900,974912,987235,999561,1011937,1024661,1037241,1050198,1063250
1,1,2,2,4,6,7,10,14,15,16,19,25,31,38,42,49,50,57,64,68,76,82,87,94,106,117,127,138,147,159,168,184,199,218,234,246,260,269,281,291,314,328,343,365,387,407,423,455,476,514,539,563,588,609,642,668,710,742,773,794,824,846,879,910,933,958,993,1014,1042,1071,1099,1128,1153,1184,1215,1237,1259,1293,1334,1363,1388,1421,1459,1504,1537,1567,1601,1653,1688,1728,1759,1797,1840,1881,1922,1970,2021,2070,2116,2153,2209,2250,2292,2346,2383,2420,2459,2501,2536,2577,2624,2663,2705,2743,2775,2825,2861,2894,2933,2965,3002,3031,3064,3107,3151,3177,3206,3251,3296,3338,3387,3430,3487,3536,3575,3622,3676,3731,3778,3831,3885,3932,3980,4035,4099,4141,4201,4251,4304,4372,4435,4489,4541,4605,4667,4710,4761,4811,4874,4939,4997,5058,5112,5170,5229,5282,5341,5394,5437,5494,5551,5602,5659,5730,5806,5865,5942,6004,6082,6144,6228,6309,6393,6467,6570,6659,6733,6835,6964,7064,7175,7289,7368,7485,7588,7681,7795,7917,8034,8151,8260,8376,8522,8633,8774,8898,9021,9176,9307,9437,9591,9732,9888,10043,10181,10322,10485,10630,10783,10931,11096,11273,11432,11621,11819,11982,12153,12302,12473,12639,12825,13009,13210,13410,13606,13819,14058,14266,14492,14718,14934,15163,15392,15619,15863,16101,16368,16624,16858,17128,17406,17714,17997,18293,18603,18878,19208,19483,19764,20043,20362,20661,20964,21248,21603,21911,22256,22563,22901,23226,23550,23851,24183,24525,24856,25195,25549,25879,26256,26560,26905,27269,27689,28081,28465,28811,29194,29572,30016,30413,30838,31239,31671,32130,32538,32981,33456,33909,34382,34828,35252,35736,36244,36750,37221,37686,38145,38653,39174,39722,40207,40751,41296,41802,42353,42919,43418,43949,44484,45034,45563,46129,46696,47307,47875,48511,49128,49740,50421,51082,51724,52348,53013,53735,54424,55083,55783,56514,57276,57997,58734,59481,60300,61134,61950,62752,63563,64358,65205,66081,67024,67937,68825,69776,70673,71589,72470,73480,74484,75506,76466,77537,78602,79611,80717,81822,82952,84091,85236,86365,87499,88666,89870,91082,92252,93459,94768,95998,97294,98646,100012,101343,102664,104084,105477,106899,108330,109787,111283,112836,114322,115936,117546,119090,120741,122413,124144,125887,127618,129417,131233,133007,134895,136734,138664,140624,142597,144643,146741,148892,151004,153212,155448,157735,159972,162374,164751,167159,169641,172182,174686,177130,179691,182302,184922,187465,190176,192866,195529,198335,201112,203921,206707,209533,212312,215236,218119,221060,224009,227023,230022,232935,236013,239070,242222,245382,248628,251931,255156,258511,261870,265251,268763,272296,275941,279675,283363,287304,291367,295316,299317,303373,307340,311502,315620,319902,324029,328288,332549,336927,341401,345951,350421,354945,359545,364244,369023,373668,378503,383320,388292,393345,398301,403411,408621,413848,419147,424483,430009,435537,441201,446826,452492,458262,464191,470097
1,1,1,1,1,3,4,7,8,9,9,9,9,10,11,12,14,19,24,27,31,34,39,39,40,46,48,52,55,58,63,69,72,79,85,95,104,110,122,131,140,148,157,166,176,182,194,204,213,219,224,237,249,258,261,267,278,292,308,326,338,349,361,372,391,400,420,440,460,474,491,509,524,540,568,594,626,648,670,693,719,747,768,791,820,849,884,910,956,983,1031,1073,1105,1135,1171,1206,1241,1290,1341,1383,1441,1479,1524,1588,1644,1702,1747,1801,1856,1922,1986,2043,2093,2149,2210,2271,2312,2368,2434,2482,2548,2603,2656,2719,2791,2855,2911,2963,3035,3095,3164,3229,3307,3369,3443,3527,3611,3693,3784,3876,3981,4077,4173,4251,4356,4450,4568,4668,4786,4908,5033,5140,5263,5382,5510,5607,5717,5837,5966,6069,6190,6321,6461,6571,6703,6832,6960,7105,7251,7388,7505,7631,7769,7906,8066,8193,8345,8497,8641,8817,8990,9166,9339,9532,9716,9897,10069,10247,10444,10634,10834,11050,11233,11433,11635,11856,12047,12263,12481,12699,12890,13098,13314,13512,13706,13882,14104,14312,14502,14711,14921,15115,15356,15602,15818,16061,16290,16516,16752,17002,17241,17463,17711,17974,18227,18506,18788,19043,19313,19585,19838,20142,20417,20718,21001,21248,21508,21785,22094,22389,22733,23026,23312,23625,23952,24227,24529,24882,25217,25555,25895,26239,26565,26902,27248,27595,27985,28339,28731,29064,29428,29800,30192,30615,31009,31438,31852,32296,32735,33160,33622,34112,34584,35082,35601,36108,36591,37108,37636,38116,38637,39194,39745,40292,40860,41432,41947,42536,43078,43667,44177,44745,45327,45904,46555,47125,47694,48268,48898,49521,50156,50819,51462,52102,52778,53452,54121,54798,55506,56299,57012,57830,58580,59312,60084,60922,61712,62532,63432,64293,65162,66020,66878,67760,68614,69510,70460,71407,72408,73363,74360,75381,76381,77367,78454,79522,80524,81641,82634,83730,84844,85987,87093,88219,89359,90503,91704,92870,94081,95298,96431,97605,98812,100023,101282,102563,103843,105094,106436,107688,108984,110323,111675,113054,114421,115813,117197,118612,120011,121460,122881,124374,125878,127404,128972,130613,132228,133846,135496,137103,138690,140364,142085,143767,145542,147284,149067,150773,152502,154280,156107,157904,159740,161625,163502,165418,167321,169385,171363,173366,175418,177442,179616,181895,184151,186317,188535,190886,193182,195508,197954,200342,202948,205529,208067,210681,213291,216053,218856,221717,224613,227548,230452,233411,236508,239666,242866,246094,249426,252744,256163,259496,263028,266573,270260,273850,277450,281064,284800,288475,292227,296129,300094,303957,308040,312193,316409,320727,325005,329310,333570,337969,342348,346745,351175,355769,360435,365237,369997,374738,379631,384506,389404,394460,399454,404544,409766,415101,420545,426012,431631,437389,443247,448917,454814,460701,466644,472799,478932,485217,491507,497851,504415,510993,517708,524519,531565,538330,545325,552445,559684,566910,574353,581906,589340,596995,604787
1,1,1,1,1,4,4,6,6,6,10,20,25,30,31,37,40,50,60,67,71,82,94,105,117,123,131,139,152,160,173,186,195,203,211,219,227,239,247,253,263,271,276,282,294,308,315,321,325,337,347,357,365,376,387,399,407,420,430,441,453,465,476,489,493,509,516,528,535,549,566,581,590,602,611,627,646,666,685,704,718,739,769,787,806,825,856,881,908,935,954,982,1011,1037,1056,1076,1092,1121,1146,1173,1199,1215,1237,1259,1280,1294,1312,1341,1365,1386,1416,1445,1475,1496,1538,1578,1616,1653,1684,1716,1748,1792,1829,1865,1902,1933,1965,2006,2056,2107,2145,2194,2240,2277,2316,2364,2404,2460,2513,2569,2637,2692,2764,2828,2889,2954,3037,3108,3181,3275,3349,3445,3532,3607,3705,3786,3860,3961,4035,4121,4194,4268,4360,4464,4569,4660,4756,4843,4951,5044,5155,5263,5378,5486,5583,5671,5766,5873,5975,6083,6203,6313,6447,6552,6654,6761,6881,7006,7122,7236,7354,7468,7567,7675,7790,7905,8021,8149,8264,8434,8601,8763,8908,9047,9171,9322,9456,9621,9793,9958,10149,10307,10485,10654,10826,11008,11193,11392,11568,11754,11952,12142,12335,12536,12729,12916,13124,13325,13531,13736,13939,14131,14311,14528,14741,14941,15123,15360,15590,15833,16064,16273,16483,16691,16911,17109,17346,17580,17820,18064,18311,18589,18859,19115,19380,19618,19890,20136,20391,20642,20907,21186,21492,21800,22089,22375,22649,22912,23219,23515,23849,24152,24498,24891,25231,25612,25952,26255,26602,26971,27366,27749,28114,28525,28921,29312,29709,30109,30550,30969,31426,31877,32316,32788,33202,33631,34052,34516,34957,35401,35877,36299,36734,37200,37666,38196,38665,39159,39663,40131,40648,41134,41620,42121,42639,43122,43607,44143,44657,45140,45700,46214,46779,47315,47834,48377,48937,49459,50083,50653,51207,51767,52352,52980,53619,54271,54899,55552,56215,56855,57508,58186,58834,59574,60275,61004,61755,62496,63256,64074,64928,65734,66544,67316,68134,69032,69912,70803,71723,72563,73473,74352,75248,76161,77122,78040,78963,79893,80897,81908,82948,83930,84966,86018,87101,88210,89309,90451,91546,92727,93935,95098,96265,97443,98693,100003,101357,102767,104129,105623,107029,108542,110059,111508,113080,114663,116294,117974,119584,121290,122982,124706,126483,128269,130003,131805,133643,135525,137398,139341,141274,143196,145108,147074,149079,151089,153088,155134,157188,159367,161410,163526,165632,167878,170082,172300,174629,176984,179402,181806,184258,186809,189445,191992,194712,197275,199906,202673,205402,208252,211138,214133,217169,220152,223114,226254,229418,232589,235955,239258,242560,245947,249466,252934,256450,260036,263526,267137,270755,274334,278003,281762,285707,289584,293515,297667,301807,305938,310157,314404,318704,323113,327496,331960,336648,341348,346069,350785,355615,360565,365513,370544,375757,380995,386245,391689,396923,402401,408012,413619,419286,425132,430956,436984,443056,449195,455281
1,1,1,1,2,3,3,5,7,7,8,9,10,10,10,12,13,13,19,22,25,29,34,37,38,42,45,45,48,50,56,60,67,74,84,87,93,100,105,112,115,125,137,145,154,163,173,180,189,201,207,214,218,225,228,233,242,245,247,251,253,256,261,269,277,278,284,286,288,295,297,300,301,301,302,305,311,312,315,316,318,319,319,320,321,321,321,322,324,324,324,324,328,330,332,333,334,334,334,335,335,335,335,337,338,342,344,344,346,348,348,350,352,355,356,358,361,363,366,370,373,377,382,386,394,405,408,415,426,430,444,455,460,470,480,488,501,515,526,537,551,555,566,574,583,592,606,618,630,638,649,661,678,695,705,722,735,754,771,786,804,815,834,846,864,881,903,918,935,957,980,1011,1039,1064,1090,1118,1147,1173,1204,1232,1272,1304,1338,1358,1395,1417,1441,1475,1510,1553,1585,1633,1664,1694,1741,1777,1809,1841,1884,1933,1980,2023,2069,2117,2162,2197,2255,2301,2350,2407,2453,2496,2538,2570,2617,2661,2708,2763,2817,2874,2931,2977,3034,3091,3157,3216,3278,3344,3401,3455,3517,3576,3635,3693,3756,3810,3874,3922,3985,4060,4128,4178,4238,4301,4352,4414,4480,4537,4595,4659,4717,4787,4853,4929,5004,5074,5164,5238,5343,5407,5486,5588,5686,5760,5827,5924,6038,6153,6256,6363,6464,6590,6727,6864,7018,7188,7338,7510,7645,7788,7964,8119,8281,8460,8635,8802,8973,9153,9361,9531,9721,9890,10064,10227,10395,10560,10715,10873,11049,11220,11385,11558,11715,11886,12073,12271,12462,12669,12844,13045,13248,13417,13629,13816,14031,14246,14444,14647,14857,15056,15264,15476,15694,15931,16130,16335,16567,16780,16998,17208,17476,17689,17902,18087,18317,18551,18792,19056,19263,19491,19724,19991,20253,20500,20748,21007,21277,21548,21797,22095,22372,22628,22913,23156,23476,23767,24084,24369,24687,24982,25283,25607,25925,26274,26614,26947,27273,27622,27938,28285,28636,28989,29336,29677,30033,30377,30722,31090,31434,31813,32151,32483,32831,33174,33552,33942,34348,34734,35124,35514,35914,36315,36762,37232,37720,38213,38658,39101,39602,40080,40580,41081,41595,42114,42664,43148,43651,44154,44661,45182,45717,46271,46830,47423,47968,48546,49173,49752,50335,50947,51573,52213,52868,53459,54105,54802,55493,56225,56914,57611,58340,59080,59906,60676,61464,62276,63070,63856,64756,65597,66457,67363,68239,69093,70047,71060,72025,73046,73992,75062,76099,77135,78210,79286,80337,81424,82555,83673,84834,85969,87105,88258,89410,90553,91811,93035,94280,95487,96754,97986,99276,100561,101822,103159,104518,105870,107189,108552,109895,111290,112730,114247,115812,117278,118829,120405,122034,123563,125176,126833,128451,130127,131780,133521,135318,137144,138961
1,1,1,1,1,2,3,3,3,3,6,7,7,8,13,13,15,20,30,35,45,48,53,56,62,69,77,93,102,108,121,131,141,145,153,163,175,188,197,202,213,220,232,243,251,269,276,289,302,318,334,342,356,374,390,412,433,452,478,511,534,566,596,628,658,691,728,766,804,847,886,920,961,1006,1053,1085,1129,1171,1221,1274,1329,1377,1428,1466,1504,1559,1610,1662,1712,1767,1813,1850,1893,1933,1975,2008,2048,2090,2125,2161,2204,2237,2273,2299,2341,2372,2399,2435,2466,2492,2526,2561,2605,2638,2671,2710,2743,2777,2816,2856,2895,2922,2964,3014,3062,3104,3158,3212,3272,3333,3375,3422,3470,3525,3588,3654,3721,3789,3876,3948,4020,4090,4164,4235,4306,4374,4449,4517,4602,4689,4770,4848,4926,4998,5082,5168,5250,5331,5401,5493,5592,5679,5772,5852,5952,6035,6116,6235,6311,6403,6507,6606,6698,6796,6892,6996,7104,7201,7311,7423,7541,7657,7769,7886,7990,8122,8246,8349,8479,8623,8770,8894,9036,9165,9323,9473,9631,9791,9936,10113,10268,10421,10584,10735,10907,11068,11244,11415,11594,11762,11926,12100,12285,12475,12685,12897,13115,13304,13502,13705,13904,14085,14298,14508,14722,14926,15154,15394,15598,15849,16083,16277,16514,16752,16991,17236,17502,17777,18046,18334,18611,18905,19207,19514,19845,20163,20476,20784,21136,21507,21861,22205,22591,22933,23284,23673,24052,24462,24828,25220,25587,26017,26445,26845,27282,27703,28163,28559,28935,29360,29777,30187,30649,31047,31491,31910,32385,32842,33282,33715,34164,34633,35072,35531,35986,36473,36925,37389,37858,38321,38764,39227,39717,40221,40701,41222,41692,42227,42675,43137,43671,44238,44767,45310,45847,46381,46944,47536,48097,48669,49253,49888,50510,51118,51763,52362,53006,53643,54319,54993,55660,56403,57098,57783,58518,59274,60012,60758,61544,62307,63162,64004,64826,65690,66526,67445,68367,69267,70222,71168,72107,73085,74098,75068,76030,77031,78015,79026,80078,81176,82317,83385,84489,85649,86792,87986,89154,90357,91535,92697,93913,95126,96371,97703,98986,100289,101663,103008,104370,105813,107292,108724,110124,111576,113096,114704,116316,117898,119604,121236,122898,124558,126282,128029,129869,131649,133477,135332,137200,139064,141094,143112,145143,147164,149132,151309,153416,155563,157772,160019,162340,164671,166966,169325,171826,174279,176766,179191,181793,184443,187065,189796,192445,195127,197925,200798,203622,206696,209631,212710,215737,218803,221922,225030,228225,231519,234801,238164,241516,244963,248394,251934,255497,259232,262953,266631,270396,274264,278104,282144,286127,290332,294473,298662,302813,307062,311454,315924,320432,324779,329486,334188,338890,343649,348455,353305,358287,363419,368389,373491,378612,383795,389157,394652,400048,405561,411171,416756,422429,428314,434135,440037,446087,452000,458216,464334,470650,477078,483616,490197,496878,503588,510390,517433,524261,531344,538405,545695,553226,560565,568114,575627,583514,591419,599345,607454,615833
1,1,1,1,2,3,5,7,7,15,16,19,23,26,28,32,34,36,39,46,53,59,70,80,85,96,107,117,127,139,147,163,175,183,193,199,212,226,231,246,257,274,284,307,324,346,360,381,396,416,434,448,473,497,527,545,578,604,641,679,710,759,801,835,882,941,983,1043,1095,1152,1203,1251,1308,1365,1417,1471,1522,1575,1615,1663,1712,1761,1813,1872,1919,1971,2020,2066,2115,2164,2213,2260,2307,2355,2400,2455,2507,2552,2580,2622,2672,2723,2768,2825,2885,2947,3010,3061,3106,3161,3208,3257,3311,3371,3419,3475,3528,3590,3639,3683,3733,3774,3824,3872,3930,3995,4038,4083,4131,4161,4197,4245,4295,4337,4389,4451,4490,4521,4580,4625,4672,4723,4791,4856,4916,4987,5056,5115,5180,5253,5320,5394,5461,5528,5603,5689,5767,5865,5933,5995,6076,6160,6239,6328,6408,6492,6569,6641,6710,6790,6892,6979,7064,7143,7235,7308,7378,7465,7543,7630,7713,7797,7873,7960,8060,8139,8216,8329,8410,8494,8566,8634,8721,8783,8871,8941,9024,9086,9159,9226,9302,9388,9493,9582,9685,9789,9890,9990,10093,10199,10323,10443,10563,10688,10809,10941,11091,11246,11373,11525,11666,11817,11957,12116,12266,12417,12560,12712,12841,12978,13113,13271,13420,13537,13665,13814,13936,14073,14197,14302,14424,14532,14665,14800,14911,15033,15147,15274,15401,15529,15664,15778,15903,16018,16132,16287,16411,16541,16665,16808,16957,17121,17292,17462,17625,17789,17941,18096,18251,18424,18603,18761,18943,19106,19283,19482,19679,19867,20025,20210,20390,20591,20771,20941,21136,21329,21507,21701,21912,22111,22305,22507,22703,22905,23120,23328,23546,23771,23985,24197,24441,24667,24906,25147,25399,25691,25938,26220,26500,26811,27084,27377,27677,27965,28262,28583,28926,29268,29637,29973,30282,30633,30974,31368,31739,32113,32461,32834,33217,33581,33987,34390,34751,35152,35515,35908,36281,36699,37111,37569,37987,38394,38851,39268,39706,40145,40605,41037,41493,41978,42452,42941,43465,43967,44507,45041,45600,46145,46712,47275,47877,48496,49159,49803,50431,51052,51729,52410,53094,53812,54525,55200,55901,56640,57378,58159,58947,59703,60511,61364,62168,63043,63884,64762,65667,66507,67467,68450,69382,70345,71359,72339,73344,74370,75345,76420,77516,78570,79699,80782,81929,83065,84224,85434,86653,87900,89144,90387,91592,92866,94087,95348,96594,97925,99245,100639,101993,103390,104838,106299,107764,109259,110822,112433,114022,115642,117276,118967,120644,122349,124106,125807,127552,129312,131171,133070,134969,136865,138869,140865,142810,144911,147034,149080,151277,153402,155634,157861,160143,162451,164774,167137,169534,172076,174486,176997,179598,182126,184780,187535,190224,192941,195566,198422,201173,204062,207014,209960,212953,216021,219080,222169,225194,228407,231597,234756,237961,241307,244640,248094,251557,255059,258611,262173,265852,269542,273305,277194,281184,285032,289119,293175,297257,301493,305669,309873,314238
1,1,1,1,1,2,2,3,4,4,6,8,11,17,17,19,19,19,20,26,29,34,39,44,50,55,62,68,74,78,90,97,107,116,122,131,139,149,160,171,190,202,212,217,226,238,248,255,264,270,276,291,308,325,340,353,369,383,398,418,443,456,473,498,530,562,595,620,656,682,712,737,777,810,843,878,905,930,964,1002,1036,1075,1103,1135,1165,1200,1230,1258,1298,1332,1359,1402,1434,1474,1512,1559,1606,1649,1695,1740,1773,1831,1878,1932,1992,2065,2119,2177,2232,2285,2352,2422,2497,2571,2653,2715,2793,2857,2926,3001,3083,3171,3255,3346,3426,3531,3625,3720,3816,3925,4037,4145,4264,4376,4480,4592,4714,4840,4977,5099,5211,5332,5463,5620,5746,5859,5999,6129,6269,6406,6531,6684,6840,6988,7145,7297,7458,7640,7814,7980,8163,8329,8521,8707,8863,9060,9263,9463,9636,9809,9955,10123,10312,10509,10682,10862,11053,11280,11494,11707,11930,12116,12296,12502,12699,12907,13137,13361,13562,13762,13959,14219,14408,14633,14860,15087,15285,15478,15708,15921,16172,16371,16582,16798,17002,17209,17414,17622,17849,18073,18282,18484,18686,18898,19118,19333,19538,19769,20006,20251,20472,20696,20959,21171,21387,21661,21900,22160,22428,22649,22883,23151,23407,23645,23913,24145,24445,24722,25003,25261,25573,25835,26114,26379,26666,26947,27235,27596,27869,28217,28505,28833,29158,29494,29804,30140,30476,30834,31203,31566,31943,32306,32682,33067,33418,33834,34235,34640,35083,35497,35926,36321,36762,37204,37631,38120,38602,39088,39613,40068,40542,41014,41532,41983,42499,43040,43572,44160,44733,45292,45868,46471,47115,47789,48426,49044,49711,50424,51119,51875,52622,53369,54133,54913,55653,56460,57280,58063,58929,59797,60638,61452,62318,63194,64122,65064,66024,66985,68012,68911,69900,70909,71928,73015,74083,75123,76114,77201,78349,79427,80502,81625,82758,84011,85216,86428,87668,89013,90360,91602,92936,94302,95699,97082,98570,100002,101514,102997,104478,105959,107510,109170,110851,112424,114037,115718,117388,119162,121004,122864,124679,126471,128276,130189,132208,134160,136131,138210,140335,142473,144581,146672,148876,151120,153308,155653,157981,160294,162675,165017,167514,169955,172448,175026,177520,180117,182734,185391,188015,190741,193525,196339,199217,202149,205166,208148,211201,214267,217427,220540,223726,227079,230396,233814,237161,240533,244020,247665,251380,255104,258781,262655,266554,270361,274228,278152,282255,286474,290692,294955,299216,303496,307887,312335,316799,321309,325895,330615,335362,340170,344986,349904,354904,359948,365261,370543,375916,381314,386763,392315,397951,403629,409342,415435,421437,427518,433805,440043,446393,452933,459627,466322,473126,479929,487012,494029,501142,508321,515757,523497,531459,539285,547174,555374,563646,572109,580546,589143,597784,606549,615449,624497,633550,642569,651860,661178,670612,680172,689918,699742,709607,719554,729480,739665,750044,760520,771148,781983,792787,803697,814797,825986,837229,848853,860441,872079,883866
1,1,1,1,1,1,1,1,3,4,5,5,8,9,9,10,14,18,25,27,32,36,41,45,53,57,62,73,81,99,112,120,129,141,150,160,172,182,193,205,221,230,236,244,261,277,294,313,328,342,358,380,392,407,419,433,458,469,479,488,500,507,520,538,553,569,585,592,607,623,631,644,668,689,712,737,761,785,808,835,861,882,908,939,962,986,1012,1039,1075,1112,1154,1176,1211,1237,1268,1302,1340,1374,1411,1462,1515,1556,1605,1650,1694,1749,1807,1853,1908,1961,2012,2075,2128,2185,2232,2287,2347,2413,2467,2526,2565,2611,2674,2744,2816,2872,2932,3005,3079,3156,3225,3314,3397,3481,3578,3671,3765,3869,3961,4049,4143,4252,4370,4488,4604,4716,4843,4977,5085,5207,5332,5453,5568,5672,5773,5899,6051,6204,6335,6460,6591,6734,6869,6994,7129,7276,7433,7583,7731,7881,8031,8174,8331,8465,8623,8774,8944,9091,9272,9429,9595,9746,9939,10081,10247,10421,10636,10810,10981,11180,11371,11564,11760,11964,12137,12317,12497,12684,12935,13164,13401,13619,13838,14069,14294,14535,14812,15084,15339,15585,15843,16082,16377,16633,16905,17224,17508,17797,18053,18341,18617,18929,19215,19527,19848,20138,20446,20757,21057,21376,21700,21990,22287,22609,22943,23265,23576,23857,24164,24460,24756,25061,25394,25688,26000,26316,26636,26974,27304,27711,28090,28494,28874,29265,29625,30025,30473,30904,31330,31780,32239,32687,33127,33567,33975,34440,34938,35405,35910,36374,36811,37298,37797,38282,38784,39287,39776,40311,40817,41321,41833,42335,42880,43386,43920,44472,45019,45582,46198,46738,47333,47971,48557,49164,49745,50396,51057,51747,52429,53133,53816,54527,55219,55946,56649,57394,58145,58920,59735,60509,61313,62104,62874,63706,64453,65261,66118,66973,67891,68831,69693,70615,71564,72517,73515,74531,75535,76504,77536,78594,79656,80720,81738,82809,83966,85107,86301,87475,88633,89827,90968,92151,93331,94658,95933,97274,98590,99975,101271,102594,103994,105409,106805,108251,109690,111168,112611,114148,115580,117102,118708,120237,121875,123566,125300,126918,128536,130189,131829,133548,135280,137052,138869,140678,142501,144350,146246,148163,150064,152024,153988,155987,157931,159875,162017,164149,166295,168440,170609,172874,175108,177399,179737,182133,184580,187012,189373,191850,194344,196820,199467,201929,204477,207231,209904,212551,215300,218152,220958,223839,226631,229515,232498,235473,238504,241580,244577,247737,250944,254233,257484,260749,263941,267246,270588,274050,277454,280865,284455,288135,291841,295678,299438,303414,307189,311156,315187,319273,323405,327541,331741,335901,340241,344694,349074,353504,358096,362747,367450,372033,376799,381689,386563,391492,396667,401871,407151,412248,417715,423269,428786,434186,439787,445560,451281,457307,463097,468985,474876,480974,487185,493480,499848,506333,512733,519318,525877,532542,539253,546086,552978,559864,566897,574072,581229,588512,595917,603484,611219,618901,626587,634450,642508,650541,658738,667021,675348
1,1,1,1,1,3,7,7,8,8,11,13,14,15,15,15,16,19,26,27,33,36,44,54,65,71,82,93,105,127,137,155,165,189,207,223,240,254,271,298,316,335,351,361,374,391,403,414,425,438,449,469,481,496,514,533,549,560,580,602,624,645,661,680,694,710,738,764,795,812,837,855,890,910,935,973,994,1016,1048,1089,1119,1155,1186,1215,1257,1293,1331,1382,1422,1453,1493,1529,1576,1616,1654,1701,1739,1784,1827,1874,1929,1990,2032,2090,2140,2206,2261,2305,2363,2437,2486,2546,2591,2649,2720,2799,2878,2925,2984,3051,3110,3178,3252,3331,3408,3470,3534,3592,3666,3741,3809,3878,3930,4001,4072,4140,4208,4270,4345,4424,4503,4585,4669,4767,4836,4937,5019,5099,5187,5269,5377,5501,5619,5739,5864,5979,6114,6223,6352,6504,6639,6796,6946,7099,7243,7398,7552,7701,7840,7996,8163,8321,8471,8629,8788,8955,9106,9247,9422,9596,9786,9951,10124,10318,10509,10698,10896,11084,11291,11498,11715,11926,12149,12373,12562,12759,12958,13178,13389,13608,13830,14055,14266,14487,14719,14981,15251,15472,15726,15986,16255,16493,16773,17058,17340,17639,17912,18217,18513,18851,19166,19477,19747,20098,20414,20751,21077,21415,21795,22148,22500,22860,23214,23558,23923,24281,24612,24996,25368,25750,26113,26506,26908,27329,27742,28117,28540,28984,29396,29867,30284,30691,31179,31635,32075,32571,33041,33507,34028,34541,35065,35626,36114,36620,37194,37766,38339,38946,39454,40030,40636,41211,41830,42436,43074,43704,44314,44949,45615,46248,46900,47546,48216,48948,49683,50402,51128,51889,52642,53404,54171,54936,55684,56503,57372,58215,59087,59974,60910,61805,62716,63586,64486,65468,66400,67372,68375,69367,70360,71335,72361,73397,74460,75474,76547,77629,78656,79672,80754,81843,82970,84071,85206,86378,87600,88809,89991,91248,92476,93705,95008,96248,97609,98966,100322,101775,103233,104651,106070,107567,109028,110484,112006,113467,115002,116536,118095,119623,121212,122784,124405,125964,127638,129229,130969,132697,134345,135994,137726,139478,141187,142970,144719,146538,148327,150140,152093,153938,155823,157715,159647,161559,163471,165442,167371,169339,171352,173328,175488,177511,179569,181695,183884,186030,188202,190456,192668,195030,197441,199849,202307,204922,207443,209971,212582,215356,218094,220887,223696,226545,229494,232451,235372,238384,241501,244555,247762,251010,254217,257439,260808,264204,267621,271154,274640,278221,281816,285497,289134,292845,296662,300460,304312,308282,312347,316324,320424,324447,328698,332861,337150,341557,345886,350292,354894,359596,364269,369063,373736,378486,383232,388156,393069,398051,403220,408427,413597,418894,424241,429715,435340,440955,446623,452375,458348,464177,470244,476308,482533,488943,495210,501628,508024,514543,521397,528129,534996,542033,549220,556115,563343,570700,578190,585758,593321,601055,608768,616628,624675,632824,641084,649473,657964,666425,675060,683949,692933,702064,711126,720279,729578,739131,748838,758662,768479,778454,788330
1,1,1,1,4,6,7,8,11,13,15,18,19,21,29,34,41,45,51,59,68,78,86,97,104,117,129,140,152,160,166,178,192,207,218,229,241,254,274,288,299,318,332,349,354,372,388,401,424,452,468,485,500,517,545,572,592,615,648,672,704,747,778,806,828,849,884,911,938,973,1007,1041,1070,1101,1133,1172,1202,1236,1272,1318,1365,1403,1434,1489,1530,1580,1622,1673,1710,1744,1792,1861,1908,1963,2021,2089,2153,2218,2278,2330,2401,2446,2509,2581,2671,2738,2793,2855,2925,2994,3046,3090,3143,3205,3251,3316,3380,3440,3515,3561,3638,3718,3793,3858,3923,3992,4059,4140,4222,4308,4387,4451,4511,4578,4653,4728,4802,4876,4966,5058,5137,5227,5299,5369,5454,5528,5609,5681,5755,5836,5907,5974,6037,6097,6173,6255,6350,6444,6553,6647,6740,6820,6912,7011,7118,7221,7333,7447,7563,7681,7779,7894,8017,8126,8243,8384,8510,8641,8777,8926,9074,9238,9381,9557,9729,9910,10080,10267,10468,10649,10865,11064,11263,11478,11696,11905,12095,12319,12524,12746,12958,13151,13372,13592,13806,14046,14288,14522,14729,14981,15227,15484,15743,15971,16222,16524,16775,17072,17355,17672,17993,18288,18599,18919,19240,19557,19854,20179,20515,20856,21211,21520,21835,22196,22566,22946,23272,23625,24022,24407,24797,25241,25675,26129,26524,26963,27375,27809,28204,28611,29063,29490,29955,30422,30910,31416,31876,32361,32859,33373,33862,34384,34904,35438,35944,36470,37037,37598,38171,38778,39354,39933,40567,41204,41846,42486,43162,43785,44463,45144,45855,46540,47242,47951,48643,49316,50042,50788,51537,52269,53017,53733,54484,55248,56008,56752,57567,58337,59168,60032,60839,61639,62455,63317,64210,65154,66043,66986,67930,68868,69880,70803,71799,72864,73903,74970,76015,77092,78166,79271,80434,81600,82821,84008,85237,86454,87719,89038,90398,91745,93084,94426,95786,97225,98675,100127,101552,102982,104484,106003,107561,109185,110787,112374,113988,115674,117362,119030,120719,122508,124254,126093,127821,129651,131551,133437,135306,137215,139229,141189,143160,145250,147226,149198,151224,153308,155434,157654,159796,162029,164251,166579,168955,171292,173688,176138,178606,181107,183673,186263,188853,191501,194162,196851,199573,202307,205083,207923,210872,213841,216894,219930,222918,225988,229171,232312,235604,238899,242204,245580,249142,252583,256165,259840,263583,267261,271132,274881,278794,282762,286871,290937,295091,299334,303669,307991,312414,316881,321451,326011,330631,335403,340206,345085,350134,355094,360333,365418,370643,375955,381444,387024,392595,398267,404127,410131,416196,422371,428733,435237,441536,447935,454590,461425,468192,475369,482473,489654,496931,504172,511575,519162,526783,534455,542283,550297,558322,566728,574994,583533,592197,600812,609483,618295,627148,636073,645332,654504,663841,673366,682941,692365,702266,712074,722074,732222,742352,752678,763030,773729,784310,794903,805808,816878,827937,839215,850480,861843,873294,885018,896833,908698,920452,932344,944670,957121,969729
1,1,2,2,2,2,3,6,6,10,13,16,19,20,22,24,30,33,45,51,59,67,75,83,96,105,111,125,141,154,166,180,192,214,231,251,268,289,307,326,348,366,381,396,420,438,453,471,489,508,526,539,555,583,598,608,628,654,681,713,732,754,778,807,828,853,877,904,932,961,1009,1053,1087,1113,1155,1188,1235,1280,1335,1378,1424,1469,1516,1557,1605,1666,1725,1789,1837,1892,1941,2003,2050,2110,2158,2227,2288,2344,2413,2479,2528,2585,2639,2715,2776,2850,2911,2984,3058,3137,3211,3287,3345,3418,3497,3582,3673,3757,3864,3949,4048,4156,4272,4389,4516,4630,4757,4888,5027,5157,5265,5422,5570,5698,5844,5973,6127,6280,6435,6587,6747,6902,7071,7206,7355,7527,7715,7873,8036,8206,8377,8547,8722,8907,9078,9268,9438,9608,9795,9991,10167,10361,10533,10760,10973,11189,11411,11642,11876,12057,12274,12479,12709,12945,13157,13378,13599,13817,14067,14324,14537,14772,15018,15283,15532,15812,16103,16388,16651,16913,17196,17483,17792,18076,18389,18703,19061,19405,19730,20085,20446,20822,21165,21511,21881,22225,22548,22881,23213,23565,23937,24299,24674,25052,25436,25801,26181,26547,26943,27294,27676,28087,28442,28859,29288,29740,30178,30609,31039,31514,31992,32478,32997,33546,34052,34602,35211,35799,36413,37002,37626,38281,38950,39628,40368,41062,41737,42482,43268,44033,44840,45642,46440,47294,48140,49053,49934,50846,51830,52818,53772,54815,55812,56897,58047,59187,60305,61445,62641,63849,65017,66218,67426,68689,70026,71363,72705,74081,75424,76844,78267,79718,81136,82603,84125,85565,87104,88693,90278,91879,93532,95230,96927,98658,100376,102031,103764,105533,107351,109201,111155,113060,115061,117022,119121,121265,123364,125496,127681,129910,132231,134500,136782,139263,141683,144148,146705,149162,151769,154389,157105,159798,162464,165192,168008,170940,173825,176695,179624,182599,185694,188713,191884,194935,198120,201318,204466,207718,211004,214368,217737,221151,224572,228126,231637,235256,238982,242723,246525,250416,254343,258326,262369,266406,270533,274662,278858,283254,287645,292031,296577,301195,305804,310487,315210,320019,324886,329810,334739,339628,344660,349830,354981,360270,365551,371048,376629,382272,387884,393628,399476,405384,411531,417633,423812,429977,436331,442917,449498,456239,463096,469958,476888,484006,490958,498101,505390,512814,520240,527902,535520,543324,551156,559135,567209,575464,583623,592216,600820,609535,618040,626724,635651,644763,653884,663085,672706,682246,691833,701468,711390,721558,731642,741780,752209,762516,773272,784176,795153,806204,817217,828536,839993,851391,863187,874830,886810,898929,911229,923576,936040,948647,961409,974197,987164,1000119,1013611,1026992,1040536,1054290,1068388,1082505,1096749,1110963,1125259,1139809,1154478,1169395,1184568,1199674,1214674,1229955,1245518,1261295,1277236,1293169,1309422,1325649,1342434,1359292,1376428,1393435,1410528,1427964,1445487,1463357,1481379,1499773,1518261,1536729,1555196,1574159,1593365,1612498,1631900,1651380,1671359,1691731,1712126,1732704,1753554,1774501,1795633,1816782,1838081,1859742,1881664
1,1,1,1,1,1,2,4,8,10,11,12,13,13,13,13,16,17,22,28,37,41,47,49,54,60,65,70,80,85,92,108,115,126,138,148,159,170,178,188,195,203,210,218,230,238,247,259,270,293,303,322,327,344,358,375,393,411,434,456,481,498,521,541,563,590,619,638,662,687,709,724,755,781,811,835,863,890,912,947,970,1005,1037,1074,1098,1129,1162,1192,1218,1246,1285,1319,1353,1382,1403,1430,1464,1503,1543,1574,1608,1644,1677,1716,1756,1799,1854,1903,1957,2001,2051,2101,2147,2192,2245,2308,2383,2434,2496,2567,2633,2692,2760,2844,2910,2983,3075,3137,3199,3280,3371,3448,3523,3616,3678,3756,3839,3918,4003,4091,4164,4251,4310,4373,4451,4535,4599,4661,4742,4816,4893,4989,5080,5152,5228,5311,5401,5476,5552,5644,5734,5833,5933,6035,6136,6226,6339,6437,6563,6693,6823,6945,7077,7198,7334,7464,7604,7751,7887,8028,8158,8300,8432,8580,8721,8880,9038,9203,9384,9551,9723,9897,10061,10235,10420,10624,10835,11010,11187,11375,11560,11762,11981,12190,12394,12597,12799,13002,13236,13424,13636,13833,14030,14234,14472,14674,14876,15110,15336,15549,15775,15984,16225,16410,16634,16874,17125,17358,17593,17818,18039,18265,18487,18683,18915,19113,19360,19582,19823,20059,20293,20530,20782,21041,21313,21563,21835,22070,22303,22587,22851,23144,23400,23677,23945,24265,24548,24870,25205,25536,25868,26204,26533,26852,27199,27567,27911,28264,28611,28988,29362,29705,30067,30417,30803,31157,31514,31906,32313,32666,33061,33483,33894,34261,34689,35106,35551,35995,36424,36868,37300,37755,38245,38737,39225,39716,40219,40704,41249,41813,42336,42924,43490,44056,44660,45269,45858,46473,47107,47722,48317,48925,49572,50265,50912,51621,52289,53009,53696,54396,55099,55771,56495,57167,57845,58581,59309,60095,60851,61667,62473,63243,64057,64898,65706,66596,67464,68348,69297,70237,71162,72108,73057,74047,75106,76216,77350,78466,79628,80730,81986,83087,84286,85523,86684,87964,89262,90557,91848,93191,94478,95846,97236,98634,99987,101345,102740,104234,105741,107182,108734,110217,111793,113439,115073,116699,118332,119999,121757,123458,125170,126925,128765,130599,132507,134382,136214,138120,140015,142074,144158,146254,148334,150438,152671,154842,157065,159360,161679,163919,166279,168697,171054,173495,176029,178582,181118,183733,186425,189123,191937,194701,197488,200350,203291,206256,209223,212313,215339,218348,221406,224425,227669,230945,234250,237496,240894,244264,247793,251288,254838,258464,262104,265804,269556,273450,277499,281558,285573,289612,293870,298163,302489,306924,311320,315715,320400,324964,329765,334526,339414,344166,349195,354251,359349,364481,369574,374845,380149,385578,391121,396615,402150,407659,413367,419145,424903,430709,436676,442827,448892,455104,461424,467815,474228,480770,487429,494204,500940,508102,515009,522022,529308,536702,544325,551851,559507,567388,575254,583232,591122,599302,607442,615818,624235,632744,641559
1,1,1,1,1,1,1,1,1,1,1,2,4,5,10,12,16,16,20,21,24,34,36,46,52,68,75,80,93,103,109,118,128,137,147,153,163,177,190,200,206,212,227,234,241,260,270,275,286,298,307,317,334,354,370,384,399,413,423,442,454,467,484,494,505,525,547,560,575,593,609,618,635,654,671,692,705,722,733,757,767,783,797,811,821,840,853,870,890,910,929,956,979,997,1015,1039,1075,1098,1123,1149,1163,1185,1208,1230,1253,1292,1320,1343,1373,1401,1427,1458,1485,1506,1531,1542,1559,1590,1614,1631,1654,1689,1707,1733,1763,1786,1801,1830,1867,1901,1928,1961,1994,2033,2072,2108,2145,2184,2231,2263,2317,2357,2401,2458,2501,2542,2597,2642,2699,2758,2813,2886,2937,2994,3064,3120,3188,3254,3318,3385,3457,3528,3587,3651,3728,3817,3881,3960,4025,4126,4219,4300,4375,4457,4534,4613,4696,4804,4871,4957,5039,5141,5245,5362,5459,5576,5682,5794,5928,6046,6179,6322,6451,6577,6739,6894,7043,7170,7365,7504,7667,7831,8019,8191,8381,8574,8769,8953,9153,9343,9548,9710,9878,10102,10315,10534,10744,10958,11190,11396,11629,11850,12106,12319,12579,12848,13089,13386,13657,13949,14216,14488,14775,15094,15401,15705,16018,16361,16698,17027,17384,17731,18062,18433,18811,19194,19546,19891,20262,20655,21032,21435,21855,22239,22637,23013,23465,23883,24354,24800,25230,25654,26078,26516,27006,27468,27921,28349,28804,29300,29770,30243,30750,31258,31775,32285,32795,33317,33875,34437,34983,35521,36093,36664,37255,37884,38487,39099,39732,40400,41032,41653,42320,42961,43604,44308,45081,45724,46421,47179,47879,48652,49409,50215,51013,51774,52592,53455,54207,54969,55814,56671,57595,58462,59318,60225,61094,61982,62895,63804,64750,65722,66633,67591,68607,69615,70636,71635,72682,73716,74801,75828,76898,77935,79057,80160,81292,82443,83571,84666,85799,87002,88121,89391,90612,91817,93094,94390,95740,97015,98320,99687,101010,102390,103840,105285,106721,108175,109615,111151,112672,114219,115834,117484,119134,120765,122435,124179,125995,127815,129646,131466,133418,135308,137259,139245,141268,143322,145422,147593,149764,152013,154261,156590,158946,161307,163669,166110,168613,171034,173476,176025,178623,181217,183848,186429,189092,191734,194446,197125,199874,202714,205558,208481,211441,214393,217308,220332,223579,226698,229906,233287,236555,239944,243387,246793,250289,253777,257473,261180,265028,268917,272720,276623,280563,284496,288632,292650,296910,301102,305553,310059,314601,319039,323523,328147,332895,337764,342714,347749,352751,357854,362921,368106,373272,378753,384229,389800,395479,401229,406960,412936,418902,424975,431320,437727,444145,450853,457563,464307,471081,478030,485177,492376,499585,506890,514193,521868,529530,537175,545182,553288,561595,569736,578285,586654,595090,603730,612623,621401,630340,639577,648937,658352,667973,677426,687193,697178,707219,717383,727725,738257,748927,759551,770645,781746,792964
1,1,1,5,6,7,8,11,12,13,16,16,18,20,25,26,30,31,33,34,41,46,49,59,65,74,86,93,104,115,124,128,134,144,149,156,167,180,191,203,209,220,229,242,255,259,267,276,282,291,308,321,338,353,371,390,416,443,452,478,500,515,543,565,588,608,647,677,718,758,789,813,858,895,926,966,1001,1033,1074,1120,1162,1206,1256,1312,1371,1421,1476,1528,1579,1623,1667,1734,1792,1867,1926,2007,2067,2157,2234,2326,2391,2461,2538,2614,2697,2779,2852,2911,2980,3041,3106,3195,3267,3357,3426,3491,3585,3676,3772,3844,3934,4023,4115,4207,4296,4375,4465,4549,4667,4775,4894,4981,5097,5208,5329,5424,5542,5658,5796,5918,6031,6178,6284,6396,6538,6681,6783,6918,7030,7148,7290,7415,7573,7719,7851,7980,8134,8287,8443,8620,8787,8947,9114,9287,9480,9651,9866,10079,10288,10493,10675,10874,11045,11223,11408,11602,11778,11975,12163,12350,12571,12776,13018,13215,13430,13654,13859,14063,14279,14507,14742,14954,15207,15451,15668,15892,16101,16354,16635,16913,17150,17411,17689,17968,18239,18509,18806,19063,19358,19612,19868,20169,20448,20730,21026,21320,21618,21935,22237,22565,22873,23202,23491,23829,24183,24500,24831,25162,25533,25885,26204,26570,26947,27299,27705,28108,28505,28902,29286,29715,30124,30550,30979,31391,31854,32326,32755,33220,33676,34162,34632,35107,35640,36154,36666,37185,37715,38183,38688,39203,39786,40308,40835,41377,41921,42501,43102,43662,44284,44924,45490,46042,46679,47301,47890,48502,49178,49808,50499,51199,51913,52671,53421,54149,54917,55756,56535,57366,58186,59061,59966,60855,61735,62634,63587,64532,65462,66456,67449,68486,69445,70408,71396,72359,73372,74362,75426,76470,77538,78645,79718,80808,81962,83064,84175,85336,86525,87684,88897,90127,91410,92689,93915,95184,96472,97809,99204,100568,101960,103391,104844,106340,107870,109394,110971,112661,114304,115977,117696,119416,121190,122918,124715,126614,128534,130535,132491,134571,136643,138705,140813,143088,145262,147505,149782,152201,154537,157010,159532,162001,164512,167105,169654,172356,175095,177740,180607,183487,186462,189344,192313,195385,198456,201581,204778,207909,211082,214249,217418,220649,223888,227128,230484,233702,237124,240512,244064,247571,251143,254688,258291,261916,265549,269222,273019,276908,280768,284637,288503,292546,296702,300802,305031,309217,313589,317916,322325,326858,331386,335901,340647,345380,350298,355242,360229,365163,370300,375365,380618,386002,391405,396831,402365,407976,413607,419305,424983,430895,437048,443018,449048,455244,461553,467977,474321,480727,487169,493657,500168,506866,513941,520976,528018,535121,542412,549805,557227,564940,572481,580346,588229,596165,604233,612406,620742,629263,637943,646588,655166,664053,672973,682107,691343,700730,710059,719585,729195,738910,748787,758756,768932,779206,789458,800070,810921,821745,832714,843780,854907,866025,877483,889139,900747,912608,924648,936718,949126,961658,974428,987188,1000140,1013299,1026477,1039774,1053223,1067002,1080568
1,1,1,1,1,1,2,2,3,6,9,10,13,13,13,17,22,23,26,31,34,43,46,48,50,58,60,70,77,87,102,111,121,133,142,151,157,169,188,197,208,219,225,237,252,265,279,286,303,310,323,337,349,366,384,399,413,434,446,475,495,511,541,561,585,622,650,673,706,731,766,796,835,862,901,935,960,995,1033,1055,1097,1121,1158,1199,1234,1262,1289,1317,1348,1370,1399,1438,1477,1514,1542,1576,1619,1665,1715,1769,1802,1839,1888,1944,2006,2063,2122,2177,2234,2283,2344,2410,2475,2536,2621,2711,2788,2866,2949,3022,3096,3163,3233,3302,3381,3461,3539,3636,3723,3798,3866,3950,4028,4117,4181,4274,4368,4453,4570,4668,4756,4857,4929,5038,5128,5229,5318,5402,5494,5584,5669,5774,5843,5928,6019,6111,6208,6303,6400,6488,6593,6702,6806,6906,7017,7131,7237,7324,7445,7546,7644,7758,7859,7971,8073,8177,8278,8382,8498,8618,8723,8831,8929,9053,9168,9278,9396,9534,9662,9790,9898,10046,10154,10277,10413,10543,10671,10809,10935,11073,11209,11333,11463,11618,11777,11916,12069,12210,12351,12503,12647,12791,12943,13115,13309,13468,13655,13831,13993,14190,14376,14582,14803,15017,15223,15434,15666,15909,16143,16389,16631,16846,17098,17367,17626,17889,18172,18475,18761,19057,19370,19696,19980,20298,20644,20984,21344,21667,22023,22368,22752,23127,23495,23835,24224,24610,25000,25403,25779,26182,26643,27025,27425,27836,28260,28687,29082,29518,29981,30422,30861,31284,31763,32226,32729,33198,33695,34180,34662,35177,35666,36170,36723,37223,37763,38331,38887,39451,39974,40561,41146,41731,42344,42959,43621,44232,44850,45517,46164,46816,47468,48119,48805,49508,50192,50887,51576,52273,53017,53747,54491,55253,56045,56824,57687,58530,59359,60170,61043,61961,62842,63737,64586,65470,66356,67284,68172,69068,70008,70953,71897,72827,73790,74783,75739,76709,77700,78644,79652,80633,81620,82602,83617,84658,85700,86763,87779,88828,89965,91073,92187,93342,94505,95727,96914,98104,99350,100639,101896,103155,104446,105761,107074,108498,109921,111338,112788,114238,115617,117133,118657,120132,121679,123235,124819,126420,128101,129691,131353,132929,134613,136337,138081,139819,141653,143449,145325,147165,149024,150870,152743,154637,156533,158503,160563,162602,164694,166777,168917,171038,173209,175466,177699,179981,182262,184529,186954,189366,191732,194208,196643,199206,201739,204440,207140,209843,212490,215174,217886,220706,223571,226514,229330,232277,235283,238229,241320,244448,247647,250978,254247,257592,260996,264420,267946,271493,275004,278712,282259,285969,289778,293637,297587,301398,305486,309556,313610,317819,322182,326713,331081,335553,340088,344574,349205,353817,358590,363501,368328,373366,378427,383603,388755,393885,399156,404656,410020,415386,420927,426516,432247,438094,443999,450011,456061,462164,468366,474681,481127,487712,494379,501012,507649,514512,521408,528437,535504,542598,549952,557456,564968,572671,580357,588340,596303,604442,612430
1,1,1,1,2,6,10,11,16,22,28,31,35,38,40,45,51,54,56,65,71,78,84,92,101,111,122,136,145,149,154,160,170,179,189,202,213,221,227,239,252,260,279,288,297,312,324,344,365,389,410,426,447,473,499,521,543,564,594,620,648,680,719,746,781,814,851,883,916,951,989,1032,1065,1102,1133,1160,1191,1223,1258,1295,1341,1376,1431,1468,1504,1546,1591,1637,1690,1738,1787,1833,1888,1960,2007,2045,2098,2143,2210,2273,2332,2379,2435,2485,2535,2593,2647,2700,2749,2799,2852,2918,2968,3032,3087,3142,3200,3247,3297,3360,3416,3480,3551,3627,3693,3765,3826,3908,3989,4080,4160,4231,4321,4398,4475,4578,4667,4785,4866,4947,5023,5123,5220,5337,5428,5525,5630,5732,5830,5939,6055,6182,6297,6430,6552,6678,6840,6978,7108,7270,7424,7557,7706,7851,7987,8123,8264,8441,8621,8781,8951,9123,9310,9493,9685,9864,10062,10241,10446,10625,10826,11008,11204,11368,11578,11808,12004,12234,12444,12652,12851,13039,13225,13414,13634,13861,14082,14301,14515,14738,14959,15212,15462,15686,15909,16156,16378,16592,16840,17046,17263,17529,17746,18033,18286,18535,18780,19057,19307,19571,19836,20097,20360,20619,20907,21210,21478,21780,22045,22326,22637,22940,23241,23537,23857,24161,24430,24730,25069,25397,25717,26035,26357,26674,27009,27373,27715,28063,28393,28702,29047,29409,29803,30153,30521,30902,31278,31635,32063,32477,32886,33312,33774,34202,34649,35087,35559,36008,36486,36960,37420,37881,38353,38777,39225,39733,40236,40733,41234,41731,42278,42798,43323,43801,44320,44848,45385,45884,46465,46980,47505,48039,48568,49152,49734,50316,50892,51540,52146,52677,53319,53942,54554,55212,55857,56481,57059,57695,58345,59017,59684,60385,61049,61761,62468,63168,63910,64642,65398,66173,66901,67624,68399,69162,69953,70797,71642,72469,73290,74159,74974,75863,76756,77630,78543,79448,80355,81308,82251,83249,84225,85141,86086,87064,88075,89058,90096,91115,92144,93171,94248,95351,96410,97553,98726,99840,100934,102095,103299,104481,105784,107038,108337,109643,110962,112279,113664,115131,116580,118083,119521,120987,122515,124006,125557,127180,128888,130543,132223,133954,135676,137423,139221,140960,142840,144660,146529,148381,150314,152280,154210,156172,158059,160081,162046,164104,166209,168374,170444,172583,174886,177190,179475,181855,184204,186649,189001,191457,193941,196499,199023,201499,204149,206803,209546,212317,214987,217768,220610,223500,226389,229338,232420,235467,238567,241708,244849,248120,251423,254724,258069,261487,264846,268404,271828,275464,279161,282724,286532,290390,294188,298092,302109,306111,310242,314375,318749,322959,327301,331693,336124,340538,344982,349580,354132,358906,363628,368432,373292,378079,383132,388258,393422,398780,404091,409598,415054,420588,426120,431887,437766,443805,449862,455897,462142,468399,474635,481223,487852,494508,501441,508388,515302,522461,529648,536890,544298,551633,559111,566865,574532,582359,590250,598296,606336,614556,622894
1,1,2,4,6,7,9,10,10,12,13,14,16,23,26,31,41,57,62,71,79,85,92,101,107,119,134,138,143,154,161,172,178,191,199,208,213,223,242,255,267,274,284,292,297,304,312,322,334,340,354,368,384,400,417,432,454,468,491,509,527,553,584,598,616,643,666,691,718,754,791,827,856,888,923,950,982,1014,1045,1084,1116,1148,1183,1220,1253,1289,1332,1353,1384,1418,1453,1489,1525,1550,1591,1646,1685,1729,1780,1817,1845,1886,1927,1967,1995,2033,2082,2129,2173,2204,2243,2291,2315,2352,2391,2433,2468,2506,2551,2591,2642,2684,2729,2766,2807,2854,2895,2929,2967,3008,3076,3128,3160,3197,3254,3289,3321,3371,3413,3462,3492,3531,3582,3625,3664,3710,3747,3802,3850,3887,3928,3962,4002,4046,4085,4127,4167,4205,4251,4285,4311,4344,4377,4397,4434,4455,4484,4506,4531,4551,4576,4596,4612,4625,4636,4657,4674,4692,4722,4741,4760,4778,4792,4804,4815,4824,4837,4855,4870,4894,4915,4933,4953,4967,4984,5003,5026,5049,5068,5087,5108,5129,5140,5160,5183,5207,5240,5270,5302,5336,5379,5413,5454,5490,5529,5582,5619,5657,5701,5750,5790,5854,5918,5973,6034,6089,6149,6221,6275,6346,6405,6475,6539,6607,6673,6744,6809,6886,6970,7040,7108,7177,7255,7351,7423,7494,7554,7629,7712,7775,7839,7917,8005,8075,8168,8235,8321,8389,8463,8529,8603,8683,8759,8835,8939,9040,9140,9252,9355,9468,9587,9712,9832,9940,10076,10200,10310,10412,10569,10683,10790,10914,11038,11139,11280,11403,11521,11639,11772,11914,12040,12171,12304,12456,12602,12744,12852,12967,13118,13253,13412,13556,13695,13847,14014,14176,14304,14450,14585,14740,14877,14996,15134,15298,15424,15566,15710,15845,15988,16126,16260,16391,16535,16674,16845,16993,17168,17338,17494,17650,17799,17961,18112,18248,18410,18563,18719,18916,19070,19243,19448,19663,19831,20004,20206,20428,20626,20830,21048,21257,21475,21702,21921,22156,22364,22605,22846,23118,23362,23628,23891,24149,24405,24683,24998,25297,25618,25936,26269,26614,26958,27240,27605,27949,28314,28719,29108,29514,29910,30289,30688,31114,31568,32025,32469,32932,33412,33882,34332,34817,35302,35795,36321,36859,37367,37896,38420,39030,39591,40155,40701,41266,41823,42403,42976,43548,44139,44797,45411,46083,46707,47340,47991,48666,49368,50070,50820,51587,52321,53091,53951,54744,55530,56313,57155,58010,58933,59819,60717,61663,62638,63564,64565,65494,66511,67514,68603,69680,70765,71841,72922,73967,75117,76219,77336,78519,79710,80909,82163,83368,84554,85813,87078,88378,89703,91069,92355,93646,95032,96426,97835,99309,100743,102258,103707,105320,106838,108346,109942,111637,113265,114898,116669,118347,120050,121775,123495,125342,127195,129037,130941,132853,134812,136777,138817,140863,142939,144983,147134,149247,151389,153617,155853,158126,160460,162869,165236
1,1,1,2,2,5,8,13,17,19,25,27,32,35,41,47,48,60,65,75,84,89,95,101,110,124,132,143,158,164,175,180,190,199,207,213,224,231,236,244,256,269,277,287,299,313,324,338,361,375,391,407,421,440,463,484,513,534,555,575,600,623,653,682,710,751,786,813,851,877,916,952,986,1021,1057,1091,1127,1159,1194,1228,1272,1314,1344,1377,1420,1454,1486,1531,1584,1630,1669,1715,1749,1784,1833,1885,1923,1984,2032,2091,2143,2193,2228,2277,2318,2383,2441,2493,2533,2576,2628,2668,2734,2789,2846,2899,2962,3024,3091,3138,3193,3272,3341,3416,3480,3562,3624,3692,3779,3875,3949,4037,4127,4230,4339,4449,4555,4653,4749,4871,4992,5121,5230,5374,5510,5636,5775,5910,6045,6161,6290,6411,6531,6646,6761,6882,7039,7162,7319,7451,7604,7746,7872,8008,8144,8302,8438,8575,8735,8889,9041,9198,9369,9541,9716,9879,10047,10206,10363,10531,10684,10871,11059,11240,11421,11601,11758,11932,12113,12296,12482,12681,12865,13081,13237,13412,13584,13752,13947,14112,14304,14504,14674,14847,15014,15186,15373,15558,15752,15952,16152,16341,16572,16760,16955,17158,17349,17557,17759,17983,18209,18449,18684,18897,19125,19355,19597,19823,20070,20347,20573,20840,21085,21346,21590,21877,22162,22436,22708,22956,23216,23525,23812,24102,24385,24678,24958,25258,25555,25861,26110,26413,26723,26995,27301,27635,27908,28209,28545,28864,29180,29506,29869,30217,30572,30948,31304,31699,32080,32488,32899,33337,33738,34216,34637,35095,35533,36017,36506,36985,37462,38006,38504,39021,39572,40120,40657,41170,41706,42291,42840,43427,44017,44656,45236,45879,46536,47227,47916,48596,49245,49957,50658,51388,52132,52900,53630,54416,55206,56021,56898,57692,58589,59478,60367,61194,62077,62995,63843,64775,65714,66652,67592,68569,69522,70553,71532,72511,73596,74650,75709,76860,77985,79105,80223,81405,82577,83827,85048,86277,87570,88819,90131,91437,92733,94111,95553,96930,98362,99809,101287,102782,104281,105762,107299,108949,110565,112171,113805,115385,116997,118596,120239,121958,123742,125514,127263,129060,130861,132614,134448,136241,138107,140056,141963,143978,145950,147936,149951,151962,153992,156128,158361,160512,162622,164814,167097,169337,171753,174124,176297,178745,181136,183571,186074,188502,191095,193519,196025,198665,201324,204029,206698,209461,212235,215086,217940,220869,223781,226786,229820,232966,236092,239183,242417,245592,248847,252133,255366,258853,262316,265769,269294,272869,276514,280136,283865,287632,291467,295396,299236,303308,307159,311177,315218,319356,323692,327920,332187,336580,341108,345423,349969,354555,359223,363912,368606,373397,378294,383341,388286,393461,398684,403903,409240,414458,419946,425531,431118,436819,442484,448286,454506,460505,466559,472765,478936,485315,491784,498376,504893,511619,518413,525393,532358,539431,546742,554149,561480,568916,576628,584302,592259,600041,607943,615814,624008,632288,640732,649126,657636,666260,674935,683768,692647,701736,710816
1,1,1,1,1,3,3,4,7,8,9,10,11,12,12,12,15,15,17,17,20,21,22,24,29,39,45,49,53,56,66,81,89,96,104,113,120,128,138,151,161,171,179,186,193,196,205,219,228,233,240,245,254,261,262,271,278,285,296,305,314,323,331,338,349,360,367,377,390,405,419,428,440,448,460,474,494,505,517,527,539,546,553,562,578,594,611,625,638,660,671,682,704,722,743,753,772,792,809,825,842,856,876,900,912,927,942,963,986,1016,1039,1057,1073,1094,1106,1128,1143,1161,1180,1215,1243,1276,1307,1345,1370,1393,1434,1468,1504,1537,1573,1606,1635,1672,1708,1745,1792,1843,1880,1927,1977,2030,2090,2148,2207,2267,2321,2376,2435,2495,2544,2597,2652,2717,2769,2829,2889,2954,3026,3085,3151,3213,3287,3366,3434,3502,3590,3671,3750,3833,3925,3990,4083,4197,4273,4341,4428,4494,4582,4670,4756,4856,4951,5028,5126,5223,5318,5400,5486,5579,5677,5769,5855,5973,6095,6190,6290,6399,6522,6624,6736,6840,6963,7066,7180,7276,7396,7511,7624,7737,7846,7968,8099,8207,8330,8440,8545,8674,8811,8956,9093,9239,9374,9496,9634,9775,9923,10065,10226,10368,10525,10678,10849,11021,11191,11368,11538,11719,11916,12076,12263,12458,12653,12850,13062,13264,13484,13702,13952,14192,14415,14653,14904,15147,15410,15675,15957,16217,16519,16793,17074,17337,17609,17893,18194,18515,18851,19155,19474,19805,20157,20478,20787,21099,21427,21803,22186,22520,22926,23340,23744,24163,24577,25008,25445,25895,26387,26817,27332,27814,28269,28716,29177,29686,30222,30694,31184,31710,32235,32788,33313,33826,34356,34926,35465,36056,36647,37199,37751,38321,38897,39482,40089,40661,41262,41861,42502,43123,43748,44398,45064,45743,46459,47167,47884,48615,49407,50200,50998,51798,52607,53405,54261,55074,55920,56829,57720,58663,59654,60618,61594,62556,63546,64543,65582,66546,67611,68709,69838,70980,72047,73197,74334,75518,76692,77866,79063,80276,81616,82882,84180,85514,86904,88285,89638,90938,92281,93663,95085,96478,97938,99336,100771,102319,103782,105313,106847,108487,110091,111702,113369,115013,116679,118401,120117,121872,123703,125536,127284,129117,130932,132751,134716,136689,138708,140731,142720,144745,146741,148857,150962,153171,155248,157369,159556,161752,163918,166100,168310,170653,172932,175300,177674,180028,182408,184817,187290,189743,192224,194774,197456,200085,202729,205409,208131,210901,213667,216490,219158,222037,224944,227711,230520,233378,236303,239296,242378,245420,248618,251745,254991,258167,261392,264575,267907,271272,274783,278277,281782,285368,288940,292528,296318,300107,303963,307895,311936,315968,320115,324315,328533,332896,337084,341521,345978,350437,355103,359812,364480,369302,374210,379197,384258,389420,394656,399958,405360,410741,416391,422037,427746,433478,439401,445368,451368,457455,463576,469745,476009,482431,488821,495333,501938,508731,515628,522379,529213
1,1,1,1,1,1,1,1,4,5,7,9,11,12,14,14,14,14,16,17,21,22,26,29,31,34,39,42,44,47,52,57,61,66,73,83,91,101,108,122,134,142,148,158,170,179,183,193,200,209,218,229,236,248,260,269,281,289,299,307,314,321,336,350,359,365,381,392,403,430,450,477,497,515,537,566,584,612,640,676,714,744,770,807,831,871,908,937,970,1000,1038,1076,1114,1162,1194,1232,1260,1296,1339,1386,1427,1458,1489,1526,1552,1597,1642,1681,1728,1764,1809,1857,1906,1954,1992,2037,2089,2124,2181,2231,2283,2344,2393,2458,2516,2568,2633,2690,2759,2811,2870,2943,3013,3077,3144,3217,3281,3347,3421,3484,3554,3610,3683,3756,3833,3910,3975,4051,4117,4184,4245,4324,4390,4461,4522,4588,4664,4722,4796,4868,4926,5017,5082,5175,5247,5337,5405,5494,5572,5655,5728,5823,5900,5996,6078,6182,6245,6341,6427,6498,6573,6660,6749,6828,6918,6996,7084,7173,7255,7334,7422,7523,7592,7673,7732,7828,7918,7995,8070,8155,8232,8317,8389,8469,8548,8636,8720,8802,8881,8963,9066,9151,9236,9318,9389,9482,9587,9673,9757,9842,9929,10014,10107,10208,10289,10379,10468,10587,10674,10744,10848,10974,11055,11151,11245,11332,11439,11531,11625,11731,11854,11967,12076,12197,12321,12449,12581,12697,12789,12922,13044,13185,13310,13461,13595,13725,13881,14044,14195,14355,14517,14678,14825,14974,15135,15293,15475,15647,15797,15962,16124,16297,16490,16674,16906,17078,17260,17443,17640,17859,18062,18268,18458,18668,18903,19115,19340,19536,19757,19996,20218,20448,20724,20989,21246,21521,21763,22011,22249,22498,22768,23053,23306,23582,23862,24160,24429,24741,25049,25319,25624,25943,26240,26515,26813,27105,27410,27687,27984,28255,28531,28810,29098,29434,29765,30077,30382,30694,31027,31356,31695,32049,32393,32735,33105,33460,33843,34195,34593,34994,35423,35852,36249,36677,37078,37487,37995,38447,38907,39408,39907,40386,40887,41401,41945,42457,42995,43526,44102,44685,45271,45875,46425,47006,47582,48205,48866,49535,50226,50900,51565,52267,53024,53808,54525,55311,56071,56882,57598,58331,59127,59920,60730,61553,62346,63172,64008,64865,65728,66601,67489,68422,69339,70255,71192,72163,73114,74085,75118,76117,77167,78198,79271,80416,81574,82711,83840,85033,86298,87521,88718,89923,91107,92303,93564,94812,96141,97424,98741,100129,101487,102850,104200,105619,107087,108532,109983,111427,112929,114489,116065,117683,119265,120938,122540,124246,125948,127690,129442,131208,133054,134924,136904,138782,140796,142820,144760,146815,148808,150917,153028,155115,157270,159390,161503,163662,165903,168181,170513,172811,175164,177467,179809,182206,184694,187190,189783,192353,195050,197801,200508,203296,206057,208915,211773,214680,217673,220722,223750,226929,230161,233532,236800,240100,243454,246886,250428,254036,257642,261334,264951,268598,272291,275999,279825,283734,287693
1,1,1,1,3,5,5,7,8,9,12,19,20,20,20,22,24,27,31,34,38,44,52,66,71,80,93,102,117,124,132,148,155,164,177,188,195,201,209,222,237,257,265,279,288,301,321,330,348,356,369,386,405,432,454,472,490,519,542,565,591,601,624,647,673,701,716,729,747,766,789,810,833,856,882,908,938,955,989,1016,1054,1085,1119,1158,1188,1224,1263,1303,1354,1409,1463,1502,1542,1586,1634,1689,1738,1791,1844,1888,1939,1999,2048,2105,2160,2222,2277,2322,2375,2437,2479,2531,2585,2646,2702,2754,2830,2899,2973,3045,3123,3190,3262,3327,3392,3479,3566,3644,3709,3796,3878,3955,4031,4133,4227,4297,4388,4479,4580,4684,4752,4857,4948,5056,5158,5251,5341,5452,5537,5637,5750,5864,5951,6059,6164,6271,6378,6486,6578,6700,6813,6923,7038,7148,7259,7367,7499,7633,7754,7873,7989,8127,8260,8407,8552,8666,8813,8961,9113,9252,9403,9564,9733,9885,10054,10233,10372,10520,10662,10831,10984,11125,11292,11455,11609,11791,11968,12130,12290,12444,12623,12775,12926,13084,13250,13422,13597,13768,13974,14159,14331,14530,14722,14920,15122,15334,15557,15743,15934,16138,16382,16638,16886,17125,17362,17619,17882,18136,18395,18658,18947,19257,19552,19842,20130,20414,20697,20994,21272,21587,21883,22192,22534,22859,23202,23537,23861,24249,24598,24966,25268,25586,25927,26297,26646,26998,27321,27703,28085,28463,28855,29239,29614,29993,30439,30817,31216,31662,32076,32459,32884,33301,33748,34182,34647,35083,35500,35968,36428,36914,37398,37878,38339,38838,39337,39854,40387,40960,41486,42066,42649,43207,43754,44331,44919,45558,46198,46817,47473,48159,48849,49520,50181,50834,51586,52297,53031,53799,54588,55358,56095,56877,57638,58495,59338,60185,61002,61883,62761,63568,64486,65419,66296,67197,68058,68988,69891,70845,71835,72811,73786,74786,75776,76792,77751,78722,79734,80872,81949,83031,84202,85330,86509,87658,88811,90012,91221,92461,93664,94944,96229,97570,98878,100200,101543,102957,104356,105770,107261,108803,110371,111954,113504,115110,116802,118476,120202,121947,123728,125547,127362,129175,131080,133039,134988,136970,138977,141009,143114,145277,147507,149755,152011,154358,156661,158931,161377,163792,166300,168825,171360,173834,176323,178901,181505,184207,186971,189776,192623,195449,198374,201355,204334,207317,210306,213384,216437,219555,222808,226087,229254,232610,235904,239348,242804,246387,250020,253615,257218,260910,264726,268535,272585,276532,280652,284774,288948,293252,297484,301896,306381,310902,315425,320037,324682,329427,334356,339466,344494,349576,354715,360034,365369,370781,376316,381995,387512,393298,399182,405195,411173,417271,423408,429698,435976,442394,448918,455641,462320,469015,475808,482970,489967,497142,504307,511588,518751,526149,533663,541084,548954,556800,564680,572763,580839,589127,597574,606085,614551,623451,632275,641169,650272,659597,669104,678612,688379,698402,708336,718396,728566,738951,749748,760340,770951,781694,792682
1,1,1,1,3,5,6,7,8,8,8,9,10,13,21,26,29,34,38,45,53,64,74,89,95,101,116,127,131,144,159,171,188,195,204,213,222,233,243,252,267,280,292,300,313,330,353,371,384,402,414,433,452,472,487,506,544,574,606,624,641,665,702,741,778,807,839,871,906,952,985,1019,1052,1084,1130,1155,1192,1221,1257,1288,1330,1354,1389,1413,1445,1475,1515,1551,1598,1634,1676,1717,1755,1797,1835,1878,1930,1979,2020,2063,2109,2140,2181,2223,2266,2311,2359,2415,2466,2515,2557,2617,2656,2708,2769,2827,2887,2943,2994,3044,3099,3141,3201,3245,3293,3345,3396,3465,3519,3584,3637,3699,3758,3808,3861,3907,3967,4027,4093,4148,4222,4302,4379,4448,4523,4598,4669,4744,4809,4894,4980,5046,5133,5246,5333,5432,5509,5595,5673,5766,5849,5933,6033,6114,6205,6303,6406,6506,6587,6680,6759,6855,6962,7056,7159,7274,7366,7466,7559,7665,7773,7867,7978,8123,8260,8383,8486,8601,8726,8846,8966,9089,9213,9326,9437,9577,9681,9820,9931,10053,10195,10298,10417,10537,10669,10808,10950,11084,11219,11351,11513,11690,11836,11991,12152,12314,12473,12642,12794,12974,13157,13341,13518,13692,13867,14070,14265,14474,14673,14858,15073,15296,15489,15712,15975,16198,16419,16697,16941,17186,17472,17753,18022,18282,18570,18876,19155,19454,19750,20073,20359,20637,20968,21275,21565,21869,22178,22460,22773,23082,23413,23788,24129,24431,24775,25111,25476,25837,26244,26608,27063,27497,27894,28291,28678,29125,29555,29979,30429,30875,31347,31779,32272,32769,33261,33769,34284,34799,35297,35851,36394,36896,37450,38041,38627,39207,39801,40382,40987,41603,42203,42840,43471,44103,44750,45436,46095,46768,47492,48217,48946,49688,50456,51239,51978,52718,53431,54206,55015,55868,56747,57538,58337,59164,59925,60794,61638,62551,63402,64259,65123,66024,66939,67866,68788,69775,70781,71750,72774,73725,74778,75778,76741,77848,78964,80035,81095,82210,83295,84438,85618,86795,87967,89175,90504,91838,93120,94417,95747,97173,98598,100031,101448,102905,104355,105814,107296,108839,110408,111969,113585,115201,116897,118639,120340,122086,123899,125654,127466,129288,131094,132971,134733,136566,138317,140166,142092,144050,146003,148035,150078,152153,154369,156569,158749,160949,163165,165536,167843,170312,172673,175044,177467,179946,182512,185039,187524,190150,192934,195592,198380,201170,203998,206959,209860,212834,215862,218983,222107,225341,228476,231719,234913,238269,241738,245198,248619,252148,255640,259251,262838,266475,270283,274064,277837,281608,285426,289266,293179,297127,301188,305285,309462,313628,317923,322208,326547,330992,335460,339915,344490,349251,353954,358712,363570,368441,373299,378297,383535,388856,393953,399195,404552,410119,415578,421152,426731,432255,437914,443679,449628,455690,461683,467857,474005,480205,486503,492961,499541,506214,512770,519327,526154,532946,539919,546938,553984,561302,568710,576120,583578,591341,598907,606734,614773,622677,630741
1,1,1,1,2,2,6,7,9,11,11,11,13,14,19,21,24,27,29,38,44,53,59,70,75,79,85,89,96,104,112,120,135,146,156,166,172,182,188,193,208,217,221,228,237,243,251,257,267,272,279,288,296,311,320,333,344,350,359,365,375,388,400,411,430,449,460,469,476,499,510,530,542,559,580,600,619,640,659,688,712,738,761,784,806,829,854,875,905,930,954,987,1012,1037,1055,1089,1120,1145,1164,1190,1223,1246,1287,1311,1341,1368,1401,1436,1475,1507,1546,1583,1623,1650,1678,1714,1748,1787,1825,1854,1895,1928,1969,2011,2064,2119,2160,2209,2262,2320,2391,2443,2500,2576,2650,2715,2798,2857,2926,2990,3060,3125,3203,3293,3372,3459,3540,3617,3693,3768,3847,3922,4011,4092,4185,4274,4364,4448,4555,4631,4715,4816,4902,4989,5106,5201,5293,5403,5486,5584,5675,5775,5880,5979,6089,6206,6292,6395,6501,6617,6746,6858,6954,7098,7223,7333,7458,7590,7717,7860,8035,8174,8334,8486,8647,8781,8963,9161,9344,9544,9746,9935,10115,10342,10529,10749,10978,11188,11422,11666,11930,12171,12437,12725,12990,13268,13548,13862,14158,14444,14723,15034,15338,15645,15965,16305,16656,17003,17342,17680,17991,18343,18669,19051,19442,19811,20220,20653,21081,21492,21912,22314,22720,23147,23583,24094,24621,25092,25558,26081,26627,27176,27684,28217,28809,29366,29931,30488,31080,31666,32250,32862,33465,34092,34771,35466,36138,36836,37534,38257,38966,39748,40535,41305,42099,42933,43781,44674,45580,46470,47436,48391,49279,50176,51110,52040,53025,54010,55014,56045,57055,58099,59158,60271,61376,62552,63691,64862,65986,67165,68394,69620,70960,72209,73551,74863,76163,77493,78870,80341,81725,83209,84704,86208,87817,89377,90932,92530,94127,95760,97406,99164,100945,102735,104484,106324,108200,110001,111881,113785,115761,117692,119674,121712,123769,125838,127893,130031,132180,134415,136561,138795,141051,143214,145515,147854,150185,152566,155001,157347,159740,162241,164743,167198,169800,172364,174970,177652,180455,183196,185951,188902,191785,194769,197614,200466,203408,206460,209545,212634,215729,218967,222337,225608,228898,232112,235312,238735,242201,245678,249116,252602,256049,259567,263094,266656,270402,274056,277751,281418,285262,289022,292965,296879,300785,304804,308803,312797,316935,321016,325187,329385,333645,337842,342083,346431,350919,355452,360074,364732,369453,374186,378992,383930,388900,393958,399022,404311,409648,414966,420415,425954,431576,437299,443137,448982,454831,461003,467128,473406,479607,485964,492448,498900,505574,512305,519074,525906,532982,539983,547118,554381,561822,569130,576804,584437,592007,599686,607720,615691,623810,632041,640221,648594,656882,665343,673775,682460,691336,700115,709174,718367,727687,737165,746447,755804,765117,774685,784367,794168,804215,814067,824230,834375,844636,854899,865447,875921,886752,897584,908621,919802,931032,942226,953722,965213,976987,988779,1000505,1012582,1024775,1037190,1049627,1062123,1074783,1087674,1100735
1,1,2,5,6,11,14,16,17,20,21,25,26,27,28,29,31,32,32,33,36,41,49,54,61,67,74,85,91,106,113,123,133,153,170,182,202,217,245,262,284,306,319,338,359,379,407,436,458,491,526,556,589,626,658,695,735,761,798,828,863,904,944,984,1023,1054,1101,1158,1206,1262,1309,1354,1412,1467,1538,1583,1637,1698,1770,1824,1887,1943,2012,2075,2158,2214,2265,2319,2386,2449,2513,2571,2638,2702,2771,2847,2936,3000,3083,3149,3210,3294,3376,3467,3566,3661,3756,3841,3952,4067,4195,4299,4415,4545,4650,4781,4917,5050,5166,5273,5411,5542,5670,5811,5961,6098,6256,6403,6580,6730,6876,7042,7201,7352,7506,7654,7827,8019,8202,8407,8599,8812,9018,9233,9446,9667,9892,10142,10388,10657,10930,11204,11459,11737,12019,12269,12547,12818,13123,13441,13709,13999,14289,14590,14875,15140,15453,15764,16077,16401,16705,17006,17324,17626,17943,18231,18597,18922,19277,19606,19941,20270,20567,20917,21270,21647,22046,22380,22777,23156,23525,23927,24310,24712,25093,25537,25940,26334,26768,27241,27692,28184,28638,29101,29578,30064,30539,31015,31540,32053,32586,33142,33657,34177,34718,35211,35742,36308,36909,37510,38162,38788,39399,40012,40584,41223,41891,42551,43265,43919,44617,45343,46079,46844,47637,48439,49263,50086,50915,51787,52704,53620,54567,55490,56498,57452,58438,59446,60442,61527,62568,63539,64589,65618,66677,67763,68876,69975,71035,72154,73256,74409,75592,76743,77876,79144,80331,81517,82693,83846,85043,86197,87432,88638,89845,91087,92370,93652,94908,96261,97532,98815,100115,101525,102835,104164,105589,107056,108563,110029,111537,113173,114709,116327,117959,119594,121294,122993,124594,126334,128096,129793,131524,133323,135262,137037,138820,140668,142516,144428,146373,148378,150420,152446,154526,156529,158618,160662,162794,164975,167251,169498,171744,174028,176271,178592,180978,183393,185871,188369,190814,193318,195976,198605,201261,204077,206858,209638,212353,215220,218112,220976,223988,226885,230014,233131,236203,239228,242407,245713,249061,252403,255797,259243,262773,266327,270070,273721,277516,281428,285277,289334,293430,297585,301729,306116,310566,315052,319616,324239,328773,333515,338336,343185,348125,353115,358135,363292,368543,373822,379340,384734,390152,395774,401451,407086,412837,418669,424457,430369,436426,442543,448985,455264,461716,468055,474723,481203,487945,494627,501358,508273,515248,522316,529588,537051,544597,552014,559376,566803,574704,582400,590291,598222,606516,614742,623066,631452,639853,648355,656996,665952,675017,684057,693114,702213,711572,721061,730467,740101,749662,759525,769593,779947,790145,800558,811068,821572,832365,842970,853979,864807,876053,887271,898705,910098,921970,933781,945664,957829,969975,982233,994901,1007494,1020129,1033202,1046210,1059555,1073080,1086505,1100176,1113863,1127969,1142298,1156668,1171118,1186009,1200651,1215855,1231062,1246412,1261748,1277259,1292852,1308843,1325014,1341128,1357365,1373952,1390568,1407655,1424695,1442035,1459533,1477283,1495226,1513206,1531570,1549994,1568696,1587589,1606887,1626123,1645512,1665060,1685049,1704931
1,1,1,1,1,1,1,3,5,6,9,9,11,13,14,17,24,30,33,38,39,48,57,63,70,75,84,100,107,117,128,138,146,160,163,172,178,185,197,210,216,222,231,238,242,255,265,273,283,290,303,318,327,335,349,359,372,384,398,416,429,448,468,485,500,514,528,551,573,599,627,650,686,715,747,774,793,817,844,878,915,944,977,1014,1044,1068,1105,1149,1186,1228,1254,1291,1329,1350,1381,1420,1465,1517,1561,1593,1636,1682,1743,1799,1854,1912,1974,2038,2104,2156,2205,2271,2336,2408,2475,2551,2626,2712,2795,2894,2983,3106,3191,3302,3406,3500,3600,3700,3799,3923,4010,4109,4220,4334,4446,4553,4679,4788,4913,5032,5136,5272,5389,5493,5617,5755,5882,6019,6152,6294,6429,6536,6666,6837,7008,7182,7350,7520,7692,7876,8069,8253,8437,8626,8809,9024,9241,9481,9713,9988,10248,10488,10728,10966,11208,11455,11695,11939,12182,12443,12695,12939,13186,13443,13701,13963,14248,14505,14778,15033,15286,15555,15866,16159,16461,16731,17028,17336,17628,17939,18243,18558,18880,19194,19489,19798,20147,20469,20816,21158,21526,21867,22262,22603,22994,23325,23720,24088,24482,24885,25270,25650,26071,26499,26934,27369,27768,28201,28611,29055,29472,29923,30382,30862,31355,31844,32337,32815,33283,33749,34295,34790,35289,35803,36311,36822,37345,37902,38403,38948,39471,40026,40612,41166,41759,42299,42892,43533,44154,44783,45406,46089,46796,47445,48181,48851,49522,50265,51038,51799,52553,53385,54181,55035,55789,56590,57441,58321,59205,60021,60965,61848,62749,63767,64728,65695,66670,67767,68738,69796,70794,71827,72950,74010,75135,76240,77385,78558,79739,80932,82138,83333,84565,85799,87198,88489,89850,91184,92587,93978,95405,96932,98327,99822,101368,102928,104470,106011,107612,109213,110794,112477,114112,115744,117423,119088,120888,122627,124356,126117,127972,129749,131571,133382,135232,137150,139167,141143,143152,145186,147252,149288,151359,153492,155611,157805,159888,162126,164386,166681,168993,171270,173663,176046,178437,180783,183180,185588,188082,190610,193196,195790,198432,201086,203749,206443,209277,212103,214974,217950,220817,223743,226656,229585,232573,235659,238787,242028,245293,248576,251895,255399,258856,262378,266089,269736,273434,277217,281044,284959,288930,293042,297004,301115,305328,309627,313975,318309,322577,327100,331501,336042,340638,345337,349952,354638,359361,364067,369047,374035,379201,384297,389382,394502,399733,405108,410561,416116,421798,427438,433107,438860,444885,451055,457088,463164,469454,475783,482198,488685,495298,501899,508604,515346,522344,529272,536280,543398,550641,558135,565676,573211,580917,588671,596501,604245,612236,620240,628176,636396,644743,653470,661871,670562,679347,688152,697155,706110,715223,724446,733804,743302,752767,762304,772182,782067,792425,802527,812872,823566,834106,844807,855562,866538,877794,888815,900167,911616,923117,934857,946450,958625,970783,982915,995043,1007262,1019778,1032520,1045528,1058397,1071530,1084760,1098146,1111802,1125310,1139196,1153106
1,1,1,1,6,9,11,12,14,14,15,19,24,30,40,45,52,57,63,74,80,86,96,104,116,123,130,137,146,158,168,173,181,189,199,204,216,226,231,234,242,243,248,254,256,265,274,281,283,285,288,293,300,303,309,313,321,329,333,337,339,343,350,356,361,366,375,391,409,420,435,452,463,472,489,498,510,522,535,553,571,590,602,629,649,669,700,719,747,758,780,801,819,830,849,873,892,914,941,965,989,1006,1024,1048,1073,1091,1112,1140,1167,1200,1224,1248,1281,1312,1349,1387,1419,1441,1479,1506,1534,1570,1614,1661,1697,1731,1762,1801,1840,1885,1915,1943,1982,2027,2080,2121,2171,2209,2255,2299,2343,2388,2438,2476,2524,2577,2626,2649,2690,2742,2802,2846,2889,2938,2994,3042,3087,3120,3162,3201,3240,3278,3319,3362,3399,3435,3482,3514,3552,3597,3643,3686,3736,3774,3806,3851,3887,3925,3962,3993,4043,4084,4133,4175,4211,4249,4292,4349,4398,4448,4500,4570,4606,4654,4711,4768,4819,4885,4937,4992,5051,5104,5171,5237,5298,5364,5437,5502,5566,5628,5699,5772,5842,5932,5996,6058,6120,6186,6258,6334,6407,6499,6579,6654,6758,6859,6926,7001,7106,7191,7264,7380,7456,7556,7642,7764,7875,7963,8071,8192,8321,8463,8643,8773,8922,9086,9224,9377,9540,9708,9866,10043,10212,10399,10606,10827,11033,11251,11483,11721,11954,12199,12448,12666,12891,13144,13380,13637,13868,14066,14330,14604,14846,15114,15384,15637,15890,16151,16383,16625,16868,17144,17404,17652,17937,18209,18457,18715,18989,19241,19510,19792,20102,20375,20654,20976,21252,21557,21884,22184,22510,22842,23177,23517,23840,24165,24552,24912,25261,25585,25988,26337,26713,27113,27527,27913,28319,28783,29212,29645,30080,30526,30975,31438,31891,32343,32801,33267,33754,34253,34719,35235,35757,36260,36760,37298,37819,38310,38846,39362,39875,40427,40957,41533,42109,42710,43286,43852,44476,45085,45742,46400,47069,47747,48446,49135,49872,50617,51348,52100,52879,53694,54472,55299,56128,56921,57817,58687,59535,60374,61282,62097,62989,63881,64833,65722,66642,67659,68638,69578,70569,71492,72477,73451,74415,75393,76370,77425,78509,79581,80664,81730,82792,83870,84953,86096,87205,88298,89500,90630,91803,92976,94153,95406,96598,97849,99092,100384,101681,103020,104373,105713,107141,108556,109989,111420,113007,114564,116122,117650,119186,120808,122396,124050,125783,127509,129250,131067,132832,134651,136493,138381,140346,142328,144314,146342,148441,150526,152615,154733,156892,159088,161313,163621,165878,168210,170597,173008,175514,178019,180583,183252,185848,188547,191224,193904,196644,199509,202421,205442,208383,211445,214536,217700,220877,224110,227345,230676,234032,237436,240712,244141,247699,251150,254683,258331,261942,265692,269397,273185,276971,280843,284705,288858,292836,296954,301066,305154,309425,313772,318061,322555,327080,331592,336141,340930,345709
1,1,1,1,3,6,9,9,11,11,12,14,14,16,19,19,20,24,30,31,35,46,50,56,61,65,71,81,84,90,103,108,117,126,137,148,155,171,183,196,213,226,242,254,267,280,288,303,315,328,344,355,377,401,431,454,483,516,545,570,596,614,641,666,689,722,762,794,816,862,887,925,967,998,1030,1062,1102,1142,1181,1221,1271,1323,1356,1390,1443,1479,1519,1573,1623,1683,1738,1794,1838,1898,1960,2018,2074,2132,2197,2248,2316,2376,2426,2496,2570,2654,2733,2804,2899,2968,3053,3139,3222,3319,3419,3504,3603,3702,3806,3897,3991,4087,4190,4317,4427,4525,4635,4748,4860,4969,5087,5180,5276,5370,5474,5578,5676,5785,5890,6008,6129,6256,6371,6499,6609,6731,6864,6986,7130,7263,7396,7545,7697,7839,7975,8109,8260,8421,8553,8682,8826,8965,9126,9287,9415,9565,9712,9867,10019,10166,10326,10495,10651,10802,10926,11076,11254,11406,11557,11734,11904,12076,12261,12423,12609,12755,12926,13102,13286,13472,13641,13838,14018,14213,14397,14593,14771,14946,15134,15324,15525,15734,15946,16149,16357,16589,16783,16982,17201,17434,17670,17927,18170,18394,18615,18842,19093,19325,19561,19790,20027,20253,20496,20754,21009,21253,21520,21788,22000,22249,22480,22728,22977,23237,23502,23732,24011,24254,24496,24774,25038,25320,25623,25901,26146,26370,26618,26876,27162,27445,27723,28025,28306,28584,28901,29205,29558,29864,30214,30515,30866,31192,31515,31842,32213,32572,32934,33320,33680,34104,34544,35010,35481,35922,36367,36868,37354,37834,38333,38874,39443,39976,40555,41144,41746,42361,42988,43614,44239,44872,45501,46163,46798,47446,48122,48806,49524,50236,50934,51652,52349,53105,53846,54597,55370,56104,56819,57566,58314,59080,59831,60637,61404,62184,62963,63810,64642,65458,66281,67134,68040,68898,69801,70684,71635,72618,73576,74648,75652,76622,77636,78661,79750,80813,81863,82936,84056,85181,86331,87438,88588,89710,90891,92062,93278,94448,95666,96907,98162,99464,100776,102169,103578,104964,106402,107860,109298,110764,112271,113866,115488,117048,118744,120350,121973,123620,125268,126986,128762,130557,132321,134053,135801,137625,139498,141378,143251,145056,146975,148920,150890,152820,154799,156821,158790,160837,162906,165154,167353,169466,171748,174068,176354,178705,181015,183402,185850,188243,190771,193295,195908,198550,201123,203708,206279,209015,211801,214612,217446,220295,223219,226201,229279,232427,235590,238895,242197,245522,248809,252199,255535,259030,262603,266184,269822,273418,277198,280963,284830,288776,292690,296589,300647,304651,308709,312772,316922,320992,325213,329456,333778,338079,342405,346776,351220,355662,360125,364723,369314,374259,379072,383906,388776,393678,398739,403980,409296,414733,420142,425598,431121,436826,442606,448550,454395,460361,466432,472576,478858,485186,491438,497938,504695,511371,518320,525159,532353,539534,546803,554165,561486,568894,576511,584151,591939,599814,607817,616079,624262,632693,641061,649525,658210,666794,675704,684542,693745
1,1,3,4,5,6,6,9,9,10,16,22,33,39,47,54,60,69,84,104,119,128,141,152,161,182,202,221,235,255,271,281,303,319,337,357,375,393,402,413,427,440,456,466,477,491,500,513,531,550,561,572,580,592,599,619,629,648,661,688,699,710,722,738,752,773,791,818,836,849,860,878,890,911,934,957,976,1003,1037,1062,1101,1125,1159,1183,1222,1259,1304,1342,1373,1406,1445,1486,1531,1583,1622,1676,1722,1776,1822,1869,1936,1996,2043,2096,2144,2197,2251,2302,2360,2419,2481,2542,2608,2674,2725,2790,2853,2927,3005,3066,3129,3202,3285,3373,3458,3554,3654,3738,3821,3912,3998,4094,4190,4288,4403,4532,4650,4744,4865,4979,5110,5223,5325,5424,5563,5696,5817,5934,6072,6217,6341,6472,6601,6723,6849,6993,7132,7285,7435,7599,7746,7888,8055,8227,8382,8568,8738,8912,9100,9282,9460,9633,9826,10024,10195,10374,10562,10756,10907,11115,11296,11464,11678,11854,12047,12227,12400,12576,12774,12956,13130,13308,13454,13624,13802,13965,14174,14391,14590,14785,14970,15170,15378,15579,15791,16024,16258,16484,16690,16904,17164,17388,17633,17863,18112,18396,18648,18905,19167,19427,19710,19973,20238,20490,20767,21028,21308,21589,21844,22155,22443,22735,23094,23419,23771,24109,24449,24795,25158,25530,25906,26271,26654,27057,27406,27808,28226,28643,29072,29573,30009,30513,31009,31494,31929,32449,32983,33572,34129,34678,35255,35841,36405,36977,37547,38153,38779,39377,39964,40585,41250,41898,42573,43201,43882,44574,45280,45988,46717,47419,48184,48920,49655,50440,51251,52041,52794,53562,54410,55248,56146,57035,57977,58861,59775,60686,61622,62587,63526,64516,65475,66476,67457,68481,69551,70660,71778,72909,74037,75213,76377,77461,78712,79906,81160,82446,83708,85141,86468,87829,89292,90677,92088,93517,95011,96514,97938,99475,101026,102582,104182,105803,107447,109108,110735,112510,114252,115998,117804,119604,121354,123127,125041,126968,128880,130818,132869,134862,136849,138935,141060,143246,145398,147577,149865,152170,154476,156846,159283,161701,164155,166681,169289,171894,174494,177228,179955,182676,185514,188575,191359,194279,197211,200242,203362,206320,209414,212574,215757,218926,222234,225438,228717,232067,235451,238920,242319,245866,249438,252953,256598,260160,263906,267821,271685,275519,279532,283513,287667,291701,295886,300156,304494,308936,313437,318044,322686,327409,332243,337249,342097,347091,352154,357223,362417,367698,373005,378437,384020,389729,395424,401063,406760,412674,418647,424672,430803,436903,443261,449765,456218,462593,469135,475686,482246,489059,495849,502775,509787,516948,524064,531247,538464,545859,553312,560779,568333,575993,583793,591758,599625,607670,615637,623775,632262,640610,648967,657436,665988,674676,683436,692382,701453,710467,719477,728614,737982,747294,756602,766411,776319,786286,796223,806469,816663,827237,837841,848578,859477,870404,881549,892789,904203,915680,927483,939290,950994,962960,975190,987554,1000181,1012739,1025374,1038276,1051279,1064573,1077919
1,1,1,1,1,1,6,8,8,8,8,13,17,22,26,32,36,43,49,61,70,74,82,93,99,100,109,114,123,128,134,137,150,168,176,185,190,197,211,223,232,245,248,255,263,270,282,292,300,305,314,326,333,340,344,349,357,361,372,382,386,392,398,413,422,434,446,462,478,489,499,506,523,533,548,557,582,591,611,619,637,646,655,675,689,709,728,739,756,771,789,809,820,846,866,898,920,945,970,987,1019,1052,1083,1111,1156,1178,1207,1235,1258,1282,1306,1334,1365,1398,1425,1445,1471,1487,1517,1547,1572,1600,1634,1660,1687,1715,1741,1766,1793,1827,1852,1878,1911,1953,1985,2013,2053,2090,2136,2179,2216,2251,2286,2331,2367,2404,2456,2503,2554,2612,2667,2732,2785,2857,2915,2961,3028,3084,3157,3221,3290,3356,3429,3490,3571,3664,3744,3808,3891,3978,4049,4139,4229,4316,4410,4510,4605,4717,4830,4934,5047,5151,5260,5353,5463,5577,5703,5804,5914,6031,6165,6290,6440,6574,6705,6817,6945,7089,7229,7392,7534,7664,7822,7994,8140,8308,8476,8653,8833,9004,9183,9343,9524,9704,9893,10096,10275,10486,10710,10937,11151,11360,11594,11819,12055,12253,12465,12696,12905,13105,13340,13587,13785,14019,14252,14511,14757,14978,15257,15538,15796,16066,16351,16640,16927,17223,17540,17822,18135,18451,18806,19158,19522,19913,20291,20650,21032,21456,21865,22267,22737,23169,23619,24021,24468,24902,25365,25822,26278,26707,27152,27638,28127,28604,29148,29673,30134,30653,31192,31722,32306,32836,33387,33930,34519,35137,35752,36315,36988,37683,38309,39009,39668,40325,41005,41739,42448,43130,43840,44576,45331,46061,46773,47582,48311,49119,49876,50656,51432,52176,52991,53775,54596,55426,56286,57199,58030,58970,59829,60711,61654,62591,63556,64549,65558,66567,67601,68691,69798,70899,71957,73057,74172,75267,76441,77582,78715,79977,81239,82450,83746,85070,86364,87697,89065,90428,91798,93163,94577,96101,97622,99123,100689,102258,103802,105358,107024,108662,110341,112090,113846,115610,117354,119170,120967,122813,124734,126628,128545,130459,132472,134528,136571,138654,140726,142802,144954,147094,149311,151530,153753,155988,158222,160570,162907,165317,167666,170096,172646,175134,177584,180139,182837,185443,188067,190688,193452,196312,199080,201899,204693,207586,210653,213683,216716,219804,222880,226067,229273,232508,235810,239218,242551,245929,249428,252930,256528,260138,263784,267320,271037,274687,278394,282223,286129,290001,294027,298044,302087,306217,310378,314572,318795,323140,327652,332078,336666,341202,345885,350554,355363,360269,365204,370126,375055,380032,385230,390297,395431,400731,406132,411521,416911,422559,428094,433766,439630,445532,451530,457568,463654,469775,476074,482327,488733,495217,501767,508385,515109,522005,529137,536135,543324,550615,557880,565331,572826,580346,588012,595712,603699,611707,619680,627894,636039,644455,653028,661581,670406,679207,687985,696904,706001,715293,724489,733813,743320
1,1,1,1,2,4,5,8,9,9,11,13,13,17,18,23,25,29,34,39,44,47,55,58,59,65,74,82,88,93,106,115,130,146,159,173,183,193,204,213,219,232,244,255,274,296,313,338,358,380,395,410,424,444,458,469,488,507,528,551,576,598,623,639,657,678,698,721,745,775,797,822,843,872,894,920,961,997,1032,1068,1091,1113,1149,1194,1234,1262,1302,1342,1378,1408,1436,1472,1503,1539,1559,1591,1623,1658,1696,1732,1764,1803,1837,1868,1899,1947,1985,2017,2054,2096,2145,2190,2240,2292,2340,2387,2442,2501,2554,2611,2672,2732,2807,2867,2934,3012,3081,3154,3240,3302,3376,3453,3521,3591,3663,3750,3827,3905,3985,4074,4137,4207,4299,4397,4472,4558,4655,4749,4825,4899,5004,5079,5171,5256,5338,5440,5532,5637,5732,5839,5947,6057,6154,6263,6357,6443,6551,6664,6768,6878,6983,7096,7211,7338,7449,7572,7706,7838,7970,8097,8219,8337,8449,8584,8731,8869,8996,9135,9273,9423,9569,9709,9861,10006,10151,10302,10455,10607,10779,10940,11099,11276,11431,11607,11777,11958,12116,12300,12477,12637,12807,13010,13214,13393,13611,13827,14028,14252,14449,14670,14877,15088,15324,15547,15782,15978,16180,16391,16602,16844,17027,17225,17421,17662,17868,18104,18288,18491,18710,18923,19118,19331,19548,19789,20014,20220,20439,20673,20914,21148,21389,21611,21857,22109,22358,22621,22846,23113,23375,23633,23876,24156,24448,24716,24990,25282,25584,25901,26235,26544,26856,27191,27558,27888,28235,28611,28937,29302,29660,30030,30383,30783,31147,31525,31904,32309,32698,33107,33501,33886,34313,34737,35156,35571,36001,36433,36874,37308,37686,38085,38527,38969,39433,39919,40367,40829,41294,41791,42292,42784,43251,43727,44205,44748,45252,45801,46359,46952,47519,48094,48698,49310,49913,50559,51164,51776,52376,53067,53807,54505,55216,55901,56622,57302,57990,58762,59505,60251,60986,61770,62505,63297,64130,64965,65801,66649,67523,68377,69236,70067,70996,71877,72803,73791,74750,75705,76673,77722,78703,79751,80703,81740,82825,83882,85038,86214,87310,88497,89704,90918,92100,93371,94629,95967,97311,98580,99920,101172,102498,103786,105194,106612,108052,109519,111028,112498,114016,115639,117153,118735,120343,121937,123623,125272,126927,128662,130379,132166,134026,135900,137821,139787,141728,143720,145624,147627,149682,151754,153987,156112,158282,160403,162581,164887,167160,169486,171825,174231,176667,179127,181600,184136,186702,189355,191997,194658,197360,200251,203075,205900,208887,211885,214717,217881,221089,224187,227358,230434,233673,237007,240248,243616,246995,250431,253829,257395,261079,264753,268359,272013,275688,279513,283291,287206,291170,295200,299311,303495,307651,312082,316630,321022,325708,330195,334911,339626,344343,349367,354473,359588,364812,370017,375392,380921,386658,392265,397959,403872,409732,415721,421696,427858,434094,440573,446961,453527,460079,466737,473415,480192,487188,494128,501005,508146,515322,522486,529776
1,1,4,5,9,11,12,14,17,18,18,18,18,19,19,24,27,34,39,43,48,54,60,66,76,81,87,93,100,113,121,134,146,155,163,169,180,186,193,196,206,215,220,231,238,245,258,266,277,294,304,312,317,323,333,341,352,361,378,393,409,421,441,455,470,492,512,533,560,581,609,635,655,682,717,746,773,803,827,850,879,908,944,986,1026,1055,1095,1125,1161,1194,1230,1267,1296,1333,1358,1393,1428,1460,1476,1524,1557,1585,1627,1651,1685,1714,1756,1785,1821,1853,1883,1918,1945,1989,2029,2066,2128,2185,2226,2287,2345,2403,2455,2504,2565,2612,2655,2712,2757,2799,2850,2898,2961,2994,3047,3103,3159,3207,3259,3304,3358,3425,3497,3557,3616,3665,3722,3763,3820,3879,3942,4004,4054,4113,4185,4238,4305,4370,4432,4499,4567,4645,4724,4795,4876,4956,5032,5119,5229,5323,5437,5532,5619,5722,5829,5932,6036,6146,6244,6349,6484,6617,6751,6883,7020,7161,7295,7450,7619,7792,7957,8121,8270,8446,8604,8775,8941,9125,9289,9492,9655,9825,10003,10191,10366,10545,10747,10957,11140,11329,11496,11709,11922,12147,12364,12591,12817,13032,13295,13528,13779,14016,14267,14515,14750,15004,15262,15500,15763,16064,16339,16637,16962,17285,17614,17939,18255,18548,18865,19227,19593,19970,20382,20765,21124,21500,21891,22323,22738,23180,23621,24059,24492,24925,25366,25821,26277,26698,27158,27624,28074,28557,29044,29564,30017,30515,30997,31501,32004,32477,33000,33501,34057,34601,35150,35656,36260,36850,37465,38036,38640,39253,39875,40493,41122,41801,42439,43121,43785,44486,45185,45915,46641,47342,48091,48858,49616,50416,51228,52009,52797,53628,54407,55225,56061,56891,57786,58705,59633,60572,61486,62449,63462,64438,65445,66426,67444,68520,69546,70633,71704,72799,73939,75059,76193,77373,78546,79691,80843,82047,83297,84587,85907,87279,88681,89979,91371,92782,94214,95634,97107,98596,100042,101588,103127,104673,106269,107850,109492,111119,112766,114448,116130,117877,119624,121338,123185,125008,126926,128755,130630,132645,134465,136365,138331,140273,142384,144445,146599,148727,150931,153196,155470,157712,160013,162388,164809,167211,169640,172160,174846,177432,180117,182886,185674,188552,191496,194419,197343,200363,203540,206603,209695,212827,216013,219355,222596,225953,229480,233060,236618,240316,243970,247663,251333,255069,258856,262778,266731,270706,274722,278844,283057,287288,291538,295823,300231,304769,309288,313927,318529,323296,328004,332797,337661,342453,347364,352522,357572,362790,367969,373173,378660,384282,390054,395798,401476,407328,413382,419315,425453,431569,437826,444080,450488,456816,463405,470114,476845,483620,490608,497580,504547,511700,518826,526289,533829,541429,549247,557159,565137,573203,581322,589672,598178,606675,615324,624219,633117,642160,651219,660350,669618,679120,688729,698355,708144,718149,728137,738283,748457,758910,769436,780038,790901,801754,812788,824029,835299,846753,858266,870033,881854,893803,906158,918378,930893
1,1,4,5,7,8,9,11,16,17,21,23,26,28,32,40,42,48,50,52,57,61,67,72,81,87,96,106,110,116,122,132,137,146,161,166,176,184,190,197,205,209,217,223,227,233,238,240,242,246,251,260,265,278,286,291,298,304,308,316,321,326,334,338,344,348,353,356,360,369,377,382,390,399,410,422,437,445,457,474,494,515,527,545,564,580,595,611,636,652,670,687,709,722,736,758,778,799,815,833,851,867,887,910,930,941,958,984,998,1024,1055,1086,1109,1147,1174,1215,1246,1277,1310,1344,1380,1407,1445,1467,1500,1530,1557,1592,1630,1678,1705,1734,1770,1801,1836,1870,1916,1961,1996,2041,2092,2139,2183,2225,2276,2319,2374,2419,2468,2531,2588,2653,2723,2794,2878,2949,3015,3103,3183,3261,3337,3422,3500,3584,3675,3787,3869,3985,4074,4168,4248,4354,4451,4544,4649,4758,4872,4978,5073,5167,5268,5382,5507,5629,5746,5858,5972,6086,6219,6330,6431,6549,6680,6802,6927,7046,7170,7285,7410,7534,7649,7794,7924,8066,8207,8355,8483,8619,8764,8891,9048,9187,9341,9498,9657,9810,9970,10131,10284,10479,10635,10815,10985,11178,11358,11558,11759,11960,12176,12384,12626,12861,13065,13290,13511,13782,14030,14292,14542,14822,15085,15367,15630,15904,16231,16546,16877,17200,17497,17816,18133,18442,18787,19121,19483,19805,20191,20547,20865,21238,21616,21999,22399,22823,23295,23708,24168,24620,25105,25579,26070,26580,27096,27655,28149,28699,29272,29846,30453,31050,31643,32270,32922,33546,34168,34879,35578,36281,36939,37676,38466,39225,39977,40735,41475,42176,42920,43675,44436,45227,46036,46848,47637,48394,49196,50023,50826,51663,52416,53289,54116,54998,55929,56776,57662,58564,59435,60378,61353,62268,63279,64294,65263,66271,67321,68439,69510,70635,71824,72920,74073,75314,76565,77851,79093,80341,81655,82943,84311,85667,86999,88335,89710,91068,92454,93813,95287,96742,98198,99670,101230,102757,104340,105916,107519,109162,110833,112479,114283,115985,117940,119765,121606,123515,125477,127531,129619,131666,133677,135871,138012,140207,142484,144706,147020,149288,151594,154006,156452,158959,161417,163976,166505,169134,171674,174283,176970,179726,182543,185338,188216,190993,193918,196880,199838,202822,205860,208958,212145,215338,218553,221888,225126,228647,232162,235747,239320,243112,246691,250520,254337,258318,262217,266357,270327,274433,278574,282770,287081,291395,295722,300100,304657,309172,313804,318545,323166,327892,332737,337684,342591,347513,352595,357551,362777,368002,373323,378645,384052,389445,394875,400398,406028,411775,417675,423535,429484,435442,441461,447655,453911,460166,466612,472940,479511,486178,492951,499682,506498,513443,520350,527386,534642,541824,549207,556790,564397,572157,579945,587825,595911,603994,611940,620312,628614,637254,645878,654470,663260,672229,681385,690562,699773,709053,718400,727895,737556,747299,757334,767659,777879,788126,798649,809172,819773,830496,841386
1,1,1,1,1,2,5,7,8,8,12,16,19,23,28,30,38,41,47,51,55,64,72,82,88,93,100,103,111,119,129,138,150,156,169,183,193,200,210,213,220,231,236,239,244,249,259,262,265,272,277,281,285,287,291,296,297,301,307,311,313,317,323,325,326,331,335,341,344,353,356,360,370,380,392,398,406,416,425,431,435,443,454,464,470,480,490,497,503,512,516,522,533,536,543,550,554,562,567,574,577,580,587,592,604,605,608,620,623,628,637,646,651,662,668,677,684,698,714,726,741,756,766,780,797,815,824,834,845,852,868,877,886,891,902,917,937,948,964,977,992,1005,1019,1042,1065,1082,1100,1118,1138,1155,1180,1198,1213,1221,1242,1267,1288,1312,1336,1364,1400,1435,1472,1507,1544,1567,1608,1652,1709,1753,1798,1843,1888,1944,2002,2061,2121,2183,2234,2310,2386,2437,2500,2564,2629,2686,2745,2812,2883,2945,3011,3079,3141,3207,3282,3356,3418,3496,3565,3653,3733,3814,3904,3993,4069,4158,4259,4343,4440,4523,4629,4738,4819,4909,4997,5105,5219,5334,5450,5547,5647,5762,5864,5993,6108,6215,6365,6475,6587,6698,6815,6951,7103,7247,7375,7510,7651,7777,7930,8074,8236,8398,8537,8691,8841,9001,9138,9299,9455,9603,9751,9911,10066,10224,10393,10561,10726,10891,11090,11276,11469,11664,11841,12034,12233,12422,12638,12846,13048,13256,13459,13668,13860,14109,14342,14586,14831,15074,15303,15542,15773,16029,16282,16525,16755,17010,17251,17501,17758,18011,18269,18517,18773,19070,19324,19611,19865,20151,20443,20763,21082,21422,21717,22054,22379,22708,23016,23332,23671,23998,24304,24648,24986,25332,25674,26070,26422,26782,27139,27499,27861,28228,28586,28967,29355,29724,30110,30516,30897,31244,31619,32030,32415,32860,33271,33683,34125,34547,34982,35438,35859,36333,36840,37302,37760,38221,38707,39173,39664,40205,40747,41297,41836,42394,42945,43503,44095,44688,45278,45879,46494,47186,47826,48467,49100,49711,50356,51074,51808,52508,53255,54013,54777,55581,56382,57148,57929,58727,59548,60381,61226,62121,63001,63859,64731,65634,66585,67488,68437,69429,70368,71363,72323,73259,74237,75287,76337,77373,78398,79534,80577,81667,82683,83766,84839,85937,87049,88256,89361,90548,91718,92928,94110,95264,96489,97723,99020,100333,101639,103030,104405,105738,107115,108409,109767,111191,112645,114063,115555,117032,118536,119995,121514,123055,124609,126196,127887,129564,131195,132861,134605,136235,138001,139831,141664,143507,145337,147213,148995,150950,152859,154843,156843,158904,161021,163194,165358,167485,169661,171925,174068,176292,178491,180780,183093,185506,187937,190421,192910,195378,197913,200500,203113,205674,208271,210961,213618,216369,219186,222037,224909,227813,230793,233794,236921,239996,243179,246326,249617,252896,256240,259742,263268,266812,270449,273914,277568
1,1,1,1,1,1,1,4,6,7,8,10,10,12,12,17,21,23,29,34,39,44,47,55,63,74,79,88,94,100,111,126,141,152,165,175,193,206,218,234,241,256,271,285,299,313,324,339,362,380,400,417,435,449,467,487,517,542,572,597,614,639,670,708,736,759,792,823,849,879,902,933,962,992,1021,1062,1100,1138,1172,1212,1243,1275,1305,1354,1382,1418,1467,1505,1554,1604,1642,1691,1735,1778,1834,1888,1944,2001,2050,2105,2166,2216,2287,2338,2395,2461,2513,2568,2608,2663,2716,2768,2816,2866,2933,3001,3064,3127,3191,3250,3304,3355,3408,3473,3523,3571,3626,3700,3780,3857,3926,3996,4076,4147,4221,4318,4418,4504,4587,4671,4770,4867,4969,5059,5161,5274,5369,5470,5572,5672,5783,5891,6006,6127,6238,6362,6503,6594,6722,6836,6954,7095,7212,7328,7442,7588,7738,7878,8007,8145,8269,8401,8536,8666,8792,8898,9054,9176,9322,9453,9606,9763,9923,10077,10212,10363,10516,10674,10822,10949,11115,11244,11390,11550,11707,11872,12026,12198,12343,12505,12649,12785,12947,13097,13261,13431,13581,13745,13907,14078,14251,14438,14617,14806,14976,15178,15382,15572,15762,15966,16180,16377,16583,16780,16995,17213,17468,17683,17876,18075,18301,18506,18739,18998,19218,19454,19707,19945,20152,20393,20635,20877,21134,21401,21658,21924,22192,22467,22730,22979,23288,23566,23851,24124,24421,24716,25031,25351,25664,25971,26314,26644,26982,27379,27765,28150,28503,28884,29271,29665,30067,30456,30875,31293,31733,32149,32571,32995,33452,33896,34366,34790,35272,35737,36156,36623,37106,37576,38012,38527,39044,39560,40097,40627,41174,41686,42204,42743,43335,43843,44434,44979,45598,46178,46770,47376,47985,48583,49214,49881,50471,51109,51739,52392,53075,53794,54543,55252,55918,56642,57349,58085,58818,59534,60296,61068,61896,62682,63462,64328,65176,66080,66985,67872,68709,69668,70622,71585,72532,73523,74599,75650,76679,77735,78863,79953,81096,82221,83376,84557,85722,86972,88186,89454,90784,92078,93427,94698,96033,97429,98773,100078,101513,102918,104378,105853,107285,108719,110244,111871,113515,115169,116803,118524,120243,122043,123836,125650,127522,129421,131303,133174,135249,137330,139396,141525,143669,145849,148063,150418,152747,155089,157454,159866,162300,164726,167204,169796,172335,174934,177529,180176,182893,185648,188467,191249,194099,196992,199753,202683,205618,208615,211729,214813,218006,221207,224525,227772,231143,234654,238139,241690,245305,249034,252734,256497,260381,264346,268314,272352,276380,280512,284783,288984,293426,297798,302165,306515,311053,315724,320431,325236,330017,334987,339894,344984,349980,355165,360469,365733,371190,376637,382138,387626,393295,399061,404978,410991,417044,423231,429271,435525,441822,448067,454567,460963,467505,474144,480810,487576,494374,501174,508107,515156,522194,529323,536579,543935,551436,559097,566842,574819,582855,590747,598699,606957,615227,623650,632252,640906,649478,658337,667372,676419,685706,695281,704853
1,1,1,1,4,5,6,9,11,13,13,15,20,22,25,29,33,38,43,49,53,60,67,71,79,89,102,109,115,121,131,138,154,168,182,193,203,217,232,249,259,272,295,307,336,352,374,407,434,448,467,492,509,533,565,602,629,661,692,731,770,818,847,882,912,966,1005,1040,1085,1137,1190,1240,1306,1354,1401,1450,1508,1575,1647,1716,1778,1839,1932,2010,2087,2177,2270,2348,2423,2504,2586,2669,2757,2829,2937,3036,3123,3211,3313,3425,3518,3588,3693,3792,3907,3995,4101,4224,4323,4440,4539,4645,4747,4863,4980,5095,5220,5335,5453,5562,5671,5796,5938,6063,6184,6313,6429,6552,6684,6816,6958,7070,7214,7341,7504,7649,7804,7955,8099,8263,8443,8614,8795,8984,9181,9350,9524,9721,9907,10090,10283,10463,10683,10886,11111,11321,11526,11731,11947,12177,12417,12619,12846,13085,13336,13562,13822,14067,14306,14574,14813,15052,15305,15568,15803,16045,16319,16609,16879,17153,17409,17675,17943,18219,18511,18816,19100,19380,19657,19929,20230,20542,20838,21158,21451,21755,22073,22439,22764,23090,23438,23762,24114,24488,24871,25194,25568,25912,26267,26652,27036,27384,27793,28159,28558,28947,29342,29708,30063,30462,30825,31205,31570,31913,32264,32612,32954,33317,33689,34027,34378,34721,35125,35532,35944,36299,36697,37092,37500,37900,38314,38752,39212,39634,40062,40494,40937,41391,41852,42361,42836,43319,43807,44259,44754,45254,45755,46265,46801,47364,47931,48500,49058,49652,50223,50798,51377,51986,52630,53248,53878,54508,55199,55858,56557,57288,57998,58731,59480,60216,60912,61686,62471,63303,64138,64992,65841,66710,67606,68492,69463,70416,71361,72378,73374,74338,75408,76422,77469,78567,79624,80769,81894,83007,84226,85354,86483,87770,89045,90295,91553,92851,94231,95613,97051,98431,99886,101456,102940,104499,106005,107563,109077,110644,112229,113888,115484,117154,118894,120651,122405,124168,126014,127786,129580,131526,133416,135329,137324,139357,141381,143424,145476,147516,149611,151787,153856,156086,158292,160499,162850,165184,167585,169961,172288,174716,177092,179657,182136,184685,187323,189939,192543,195279,197976,200734,203579,206461,209353,212290,215153,218175,221332,224315,227560,230847,234200,237572,240990,244472,247806,251355,254880,258470,262163,265901,269744,273543,277499,281436,285448,289452,293355,297593,301797,306059,310279,314567,318938,323299,327817,332472,337243,341871,346496,351380,356238,361211,366294,371442,376682,381822,386964,392286,397663,402908,408258,413814,419412,425163,431063,436913,442827,448801,454966,461312,467573,474182,480744,487315,494091,500974,507832,514798,521980,529166,536402,543694,551121,558629,566208,573731,581587,589552,597698,605715,614010,622380,630840,639386,648147,656896,665983,675036,684240,693524,702755,712262,721559,730928,740519,750340,760307,770593,780999,791358,802117,812907,823862,834942,846213,857523,868960,880734,892653,904679,916824,929264,941773,954375,967225,980332,993547,1006817,1020487,1034233,1048002,1061925,1076182,1090602,1105172,1119626,1134252,1149105,1164238,1179400,1194794
1,1,1,3,4,10,13,15,15,19,20,23,27,34,40,50,59,67,72,74,82,89,94,108,116,132,147,157,170,186,204,220,235,248,265,288,304,328,341,354,373,387,399,419,432,442,462,478,503,521,538,555,569,586,600,616,634,656,678,701,718,737,763,794,808,835,857,887,920,950,986,1028,1072,1108,1146,1179,1211,1245,1289,1332,1380,1420,1460,1513,1553,1605,1635,1664,1698,1739,1767,1797,1843,1876,1922,1959,1986,2013,2039,2063,2092,2130,2163,2195,2220,2246,2275,2305,2331,2373,2405,2441,2471,2505,2541,2571,2603,2631,2664,2700,2735,2771,2810,2840,2871,2910,2941,2985,3016,3044,3081,3120,3159,3204,3242,3282,3321,3363,3410,3451,3501,3542,3586,3626,3677,3723,3770,3819,3873,3928,3968,4022,4066,4106,4165,4217,4275,4328,4377,4427,4492,4544,4603,4668,4731,4794,4871,4930,5009,5081,5162,5236,5306,5361,5457,5556,5648,5718,5798,5889,5985,6077,6162,6267,6357,6471,6564,6656,6747,6868,6998,7105,7223,7360,7492,7629,7769,7908,8032,8160,8307,8438,8597,8751,8927,9088,9247,9425,9604,9784,9961,10117,10305,10489,10691,10882,11064,11286,11477,11676,11888,12095,12346,12574,12810,13041,13279,13521,13777,14029,14302,14561,14831,15111,15390,15686,15961,16247,16550,16845,17176,17490,17817,18142,18450,18782,19141,19473,19813,20164,20509,20889,21237,21613,21982,22397,22759,23105,23485,23836,24247,24617,25017,25442,25875,26302,26725,27151,27573,27991,28408,28801,29220,29642,30117,30564,31085,31574,32068,32562,33065,33566,34094,34661,35203,35794,36368,36989,37637,38261,38866,39513,40129,40796,41404,42031,42701,43409,44082,44816,45491,46180,46950,47680,48407,49152,49948,50701,51564,52398,53210,54049,54884,55735,56616,57486,58390,59322,60259,61237,62197,63210,64243,65268,66314,67363,68366,69453,70559,71711,72870,74045,75160,76335,77572,78886,80072,81345,82657,84032,85351,86699,88111,89541,91008,92535,94138,95747,97342,98922,100575,102219,103925,105650,107437,109234,111081,112891,114801,116800,118766,120763,122747,124823,126898,128893,131040,133181,135339,137536,139826,142124,144290,146436,148657,150900,153151,155435,157711,160065,162485,164974,167581,170096,172719,175339,178030,180778,183553,186242,188972,191888,194754,197701,200633,203593,206688,209874,213211,216366,219645,222889,226326,229808,233366,236855,240473,244048,247673,251433,255150,258895,262770,266675,270547,274599,278699,282755,286883,291063,295272,299603,303969,308429,312848,317393,321994,326616,331356,336031,340915,345697,350688,355667,360700,365799,370983,376349,381801,387268,392841,398363,403927,409714,415624,421589,427606,433762,439865,446018,452250,458771,465161,471802,478547,485243,492052,498878,505731,512740,519849,527000,534301,541650,549166,556794,564529,572388,580317,588389,596597,604851,613311,621976,630673,639538,648447,657501,666798,675964,685446,695155,705018,714779,724607,734804,745090,755489,765966,776829,787543,798495,809689,821047,832338,843902,855451
1,1,1,1,2,4,5,6,7,11,14,14,16,16,18,19,19,21,22,22,23,23,26,32,35,38,41,46,49,52,59,65,67,73,83,89,99,104,113,122,137,150,156,168,175,185,194,202,213,221,228,234,245,248,252,254,257,269,276,285,293,304,315,322,331,343,354,360,371,379,385,391,401,414,429,444,455,462,476,492,505,520,532,541,554,565,577,589,605,613,621,635,655,665,681,702,719,732,748,772,788,806,826,860,885,914,962,993,1030,1067,1108,1156,1200,1237,1286,1333,1380,1423,1470,1525,1568,1618,1679,1736,1794,1841,1885,1943,1993,2036,2074,2121,2171,2204,2260,2300,2340,2375,2413,2457,2498,2545,2586,2640,2692,2745,2784,2812,2853,2885,2935,2970,3007,3056,3105,3147,3188,3238,3277,3327,3374,3416,3464,3515,3561,3614,3679,3733,3798,3858,3904,3963,4024,4075,4149,4229,4296,4358,4410,4467,4525,4582,4647,4720,4780,4845,4918,4973,5032,5104,5174,5231,5301,5368,5419,5482,5555,5632,5697,5763,5835,5926,6003,6087,6165,6236,6316,6405,6497,6587,6657,6738,6816,6904,6992,7071,7146,7249,7327,7403,7489,7563,7647,7737,7810,7883,7954,8030,8084,8165,8222,8298,8376,8465,8533,8608,8709,8792,8875,8962,9055,9132,9231,9359,9445,9537,9639,9753,9871,9980,10105,10214,10310,10440,10574,10719,10865,11006,11124,11274,11413,11557,11680,11803,11942,12103,12246,12411,12558,12704,12843,12979,13139,13263,13419,13574,13732,13897,14020,14161,14301,14434,14615,14764,14916,15085,15238,15388,15561,15716,15859,16009,16168,16332,16475,16650,16814,16995,17173,17352,17551,17733,17934,18144,18332,18526,18744,18967,19195,19416,19616,19844,20085,20320,20548,20781,21027,21243,21488,21713,21955,22197,22411,22678,22972,23210,23481,23721,23984,24242,24536,24852,25146,25427,25721,25986,26292,26611,26935,27239,27586,27897,28241,28576,28942,29258,29622,29973,30338,30682,31053,31440,31824,32195,32569,32957,33368,33778,34189,34624,35021,35421,35846,36229,36663,37090,37513,37966,38383,38823,39293,39765,40245,40742,41257,41716,42218,42681,43217,43778,44325,44848,45412,45954,46515,47072,47669,48295,48910,49504,50131,50746,51363,52028,52662,53369,54007,54706,55357,56042,56713,57455,58157,58848,59553,60331,61083,61858,62658,63470,64329,65110,65926,66793,67680,68612,69525,70470,71457,72364,73292,74250,75246,76246,77290,78351,79307,80390,81487,82654,83790,84939,86110,87337,88489,89708,90998,92343,93643,94966,96326,97705,99143,100567,102006,103500,104993,106551,108072,109650,111174,112733,114388,116005,117650,119270,120917,122662,124419,126140,127966,129846,131800,133761,135746,137693,139600,141649,143700,145854,148014,150188,152395,154582,156863,159182,161484,163897,166254,168662,171043,173498,175909,178367,180903,183426,185932,188502,191149,193731,196345,199079,201802,204551,207346,210053,212780
1,1,1,1,1,1,4,6,7,10,13,15,16,19,22,27,30,35,40,48,56,64,77,86,99,106,118,120,124,129,140,151,155,167,173,186,196,207,211,215,221,230,233,240,253,264,272,278,291,297,306,310,319,328,344,358,372,388,402,420,446,471,494,511,541,569,602,640,664,701,734,775,826,888,934,988,1040,1072,1136,1172,1227,1292,1353,1414,1489,1558,1632,1696,1765,1815,1881,1948,2017,2084,2143,2220,2278,2358,2412,2481,2562,2627,2717,2795,2868,2943,3020,3107,3184,3256,3324,3408,3488,3561,3643,3715,3825,3907,3996,4081,4150,4251,4344,4448,4542,4628,4736,4812,4931,5007,5101,5194,5282,5351,5449,5535,5621,5738,5833,5925,6021,6127,6220,6298,6412,6508,6608,6705,6804,6926,7036,7159,7287,7425,7542,7669,7811,7948,8080,8209,8348,8474,8629,8786,8946,9116,9247,9413,9562,9729,9875,10009,10158,10319,10482,10646,10815,10972,11137,11297,11474,11680,11852,12035,12211,12399,12575,12792,12969,13163,13384,13600,13802,14024,14241,14467,14693,14915,15142,15368,15601,15856,16092,16333,16601,16853,17136,17436,17722,17991,18289,18598,18937,19246,19532,19842,20165,20521,20861,21213,21557,21893,22274,22647,23068,23467,23852,24261,24702,25125,25542,25949,26431,26843,27262,27681,28120,28591,29069,29540,30023,30471,30928,31383,31903,32441,32963,33507,34036,34578,35155,35701,36265,36870,37440,38033,38704,39397,40026,40660,41380,42087,42817,43496,44246,45000,45748,46537,47324,48146,48961,49814,50656,51487,52427,53310,54124,54949,55834,56722,57637,58583,59519,60534,61577,62572,63619,64653,65747,66811,67920,68967,70100,71215,72337,73478,74665,75848,76997,78181,79490,80620,81792,82981,84273,85504,86774,88122,89404,90729,92015,93314,94706,96077,97482,98923,100399,101867,103336,104791,106242,107707,109248,110815,112334,113975,115625,117298,118894,120529,122172,123886,125511,127322,129039,130771,132529,134222,136019,137841,139665,141424,143235,145058,147036,148942,150791,152771,154652,156632,158625,160616,162651,164682,166669,168769,170897,173042,175284,177492,179770,182115,184446,186841,189215,191662,194216,196830,199459,202179,204832,207488,210155,212831,215607,218536,221404,224348,227445,230385,233510,236597,239770,243074,246374,249632,252973,256280,259610,262948,266495,269908,273425,277135,280890,284598,288273,292108,295940,299821,303839,307738,311753,315871,320109,324258,328459,332793,337057,341446,345852,350394,354820,359401,363950,368636,373357,378121,383068,388078,393083,398176,403327,408575,413859,419221,424549,429786,435268,440756,446286,451817,457533,463294,469150,475204,481007,487002,493038,499131,505374,511676,517956,524354,530930,537518,544078,550823,557516,564491,571474,578549,585796,592927,600250,607603,614982,622640,630261,637966,645736,653825,662129,670533,678749,687186,695756,704457,713250,722266,731411,740500,749960,759345,769094,778621,788433,798298,808435,818653,828967,839210,849699,860354,871082,881919,893028,904204,915401,926856,938479,950257,961888,974001,986047,998285,1010407
1,1,1,1,3,5,5,6,7,8,8,9,9,13,15,16,16,16,16,18,18,21,22,32,34,34,38,43,47,53,60,63,75,84,93,99,106,119,129,139,154,174,189,208,219,237,257,278,307,325,348,361,369,390,413,440,471,488,519,552,575,606,629,659,686,714,738,772,794,818,845,881,907,931,963,987,1015,1047,1078,1105,1150,1180,1212,1246,1270,1303,1345,1381,1416,1445,1480,1518,1550,1582,1623,1651,1686,1734,1780,1830,1873,1917,1945,1985,2017,2059,2109,2164,2212,2255,2300,2346,2401,2460,2518,2571,2638,2717,2778,2852,2929,3003,3083,3156,3225,3293,3383,3461,3544,3617,3703,3768,3830,3910,3990,4054,4116,4189,4260,4334,4406,4462,4523,4597,4688,4740,4808,4882,4938,5009,5082,5169,5237,5305,5384,5453,5528,5594,5687,5756,5838,5924,6010,6097,6197,6291,6399,6514,6595,6691,6792,6898,7022,7132,7249,7355,7475,7599,7722,7821,7915,8024,8133,8236,8331,8441,8554,8669,8790,8916,9028,9161,9289,9454,9579,9705,9839,9965,10121,10264,10419,10571,10728,10880,11033,11208,11373,11551,11704,11898,12074,12241,12408,12601,12786,12991,13203,13405,13576,13783,14037,14257,14471,14730,14993,15233,15502,15783,16085,16346,16650,16952,17252,17594,17879,18231,18535,18892,19239,19615,19988,20365,20806,21201,21634,22008,22404,22829,23244,23692,24135,24547,24988,25439,25886,26316,26818,27247,27732,28213,28691,29178,29629,30099,30617,31072,31561,32094,32588,33086,33605,34160,34706,35270,35866,36454,37073,37660,38277,38890,39523,40167,40793,41499,42142,42813,43537,44254,44943,45679,46404,47171,47884,48652,49446,50275,51147,52004,52808,53618,54547,55424,56322,57282,58168,59045,59958,60909,61858,62845,63893,64891,65935,66993,68051,69122,70245,71378,72501,73626,74753,75876,77010,78231,79471,80653,81838,83027,84330,85581,86828,88023,89384,90653,91941,93193,94576,95934,97265,98644,100023,101421,102890,104351,105793,107268,108782,110287,111830,113326,114959,116531,118122,119713,121323,123049,124688,126365,128077,129878,131713,133506,135259,137060,138872,140800,142740,144717,146678,148644,150667,152738,154819,156942,159106,161346,163578,165866,168148,170502,172920,175270,177640,180161,182766,185391,188013,190730,193457,196281,199049,201773,204542,207394,210286,213185,216241,219378,222438,225536,228684,231829,235033,238217,241362,244563,247963,251357,254748,258246,261833,265496,269107,272842,276560,280380,284233,288166,292082,296042,299972,304008,308193,312446,316590,320900,325275,329908,334403,339122,343822,348551,353343,358328,363371,368384,373400,378503,383647,388881,394210,399710,405210,410826,416349,422066,427837,433680,439485,445341,451510,457620,463859,470061,476354,482802,489447,496122,502789,509670,516663,523720,530798,537996,545204,552455,559813,567399,575024,582773,590612,598510,606331,614362,622408,630694,639157,647583,655933,664469,673138,681938,690990,700018,709053,718493,728193,737815,747444,757323,767405,777456,787631,798003,808479,819160,829972
1,1,1,2,5,8,10,11,14,19,23,26,29,35,40,46,54,57,63,73,78,86,95,106,112,118,124,132,140,151,161,167,174,182,193,197,205,216,227,236,244,251,262,270,282,295,307,316,338,347,353,364,375,396,415,427,440,463,477,497,509,522,537,551,577,601,613,628,643,663,693,716,737,760,782,802,833,851,870,887,918,944,981,1020,1050,1079,1110,1138,1170,1210,1249,1285,1327,1355,1398,1437,1482,1517,1565,1621,1671,1724,1770,1802,1858,1903,1954,2009,2059,2107,2152,2198,2250,2308,2361,2404,2463,2520,2576,2638,2702,2770,2837,2902,2974,3044,3106,3169,3255,3315,3389,3465,3539,3623,3724,3821,3907,3997,4091,4175,4267,4354,4446,4537,4613,4716,4823,4912,5009,5138,5242,5355,5462,5565,5669,5775,5873,5966,6073,6179,6279,6383,6502,6616,6752,6882,7021,7137,7257,7389,7537,7676,7794,7927,8036,8169,8299,8429,8577,8718,8863,9025,9185,9350,9514,9656,9842,10006,10147,10322,10489,10645,10825,10989,11166,11348,11535,11713,11899,12106,12298,12493,12690,12875,13052,13254,13464,13678,13895,14096,14325,14557,14779,15028,15260,15520,15777,16055,16297,16548,16822,17060,17344,17626,17905,18168,18457,18742,19032,19355,19655,19968,20278,20621,20991,21352,21664,21980,22340,22709,23069,23463,23835,24205,24588,24973,25400,25773,26203,26622,27071,27524,27982,28447,28906,29392,29855,30351,30804,31315,31813,32297,32827,33388,33878,34412,34962,35517,36058,36613,37182,37745,38334,38943,39512,40106,40748,41343,41987,42572,43166,43776,44406,45026,45694,46331,46981,47669,48395,49112,49822,50542,51283,52000,52723,53477,54242,55037,55831,56635,57463,58284,59116,59997,60851,61787,62678,63618,64609,65527,66487,67432,68381,69369,70389,71453,72563,73615,74704,75854,77026,78120,79258,80423,81634,82868,84095,85353,86614,87924,89225,90524,91916,93205,94555,95915,97262,98643,100012,101506,103003,104445,105921,107377,108825,110363,111943,113491,115118,116797,118476,120202,121891,123624,125395,127233,129054,130947,132856,134707,136712,138674,140539,142424,144381,146558,148599,150744,152793,154930,157116,159332,161530,163863,166192,168486,170919,173294,175672,178029,180649,183108,185692,188380,190999,193733,196477,199275,202043,204876,207760,210716,213702,216827,219961,223093,226254,229431,232523,235705,238972,242307,245700,249300,252832,256421,260078,263767,267460,271110,274938,278839,282739,286834,290959,295154,299478,303813,308110,312523,316917,321460,326313,330949,335626,340429,345344,350162,355157,360191,365300,370483,375623,380829,386156,391424,396844,402356,407932,413614,419223,425193,431140,437006,443083,449217,455567,461870,468231,474914,481712,488291,495164,501991,508883,515894,523126,530472,537851,545331,552941,560489,568251,575917,583801,591896,600030,608150,616327,624680,632992,641560,650238,659110,667924,676850,685753,694936,704329,713532,722956,732605,742354,752137,762031,772069,782080,792208,802469,813070,823688,834428,845416,856507,867596,879043,890482
1,1,1,1,1,2,4,7,9,10,10,13,13,13,13,15,15,18,24,31,36,43,49,59,68,79,91,101,107,112,120,128,138,152,163,175,183,187,191,196,210,219,233,241,246,257,265,272,278,284,288,298,304,310,317,322,334,352,365,381,393,409,422,436,450,473,502,521,539,559,583,603,632,644,665,691,713,733,753,775,802,828,861,898,927,956,991,1024,1045,1078,1100,1125,1155,1187,1226,1259,1295,1344,1385,1425,1472,1526,1575,1621,1683,1742,1816,1865,1929,1994,2059,2128,2190,2257,2314,2399,2476,2552,2619,2678,2756,2820,2897,2988,3074,3145,3226,3292,3368,3441,3517,3591,3661,3770,3860,3938,4016,4103,4195,4269,4363,4456,4543,4617,4696,4766,4855,4935,5015,5096,5182,5250,5335,5424,5503,5599,5687,5779,5873,5974,6048,6137,6233,6316,6403,6508,6587,6681,6780,6884,6970,7061,7167,7282,7374,7482,7608,7719,7827,7929,8050,8172,8288,8393,8522,8675,8806,8944,9075,9207,9342,9491,9641,9809,9973,10145,10300,10460,10621,10786,10927,11096,11273,11429,11578,11748,11908,12061,12208,12353,12498,12652,12782,12955,13111,13240,13403,13567,13737,13873,14045,14201,14361,14503,14664,14856,15021,15162,15319,15493,15667,15854,16027,16229,16387,16572,16747,16936,17139,17313,17511,17708,17912,18113,18325,18535,18757,18986,19219,19435,19639,19873,20125,20356,20597,20867,21145,21433,21724,21972,22197,22478,22761,23051,23333,23671,23968,24273,24558,24896,25239,25554,25899,26221,26551,26891,27222,27560,27916,28293,28684,29068,29436,29828,30243,30636,31090,31489,31918,32330,32771,33238,33709,34121,34565,35051,35531,35993,36491,36998,37512,38036,38546,39079,39593,40171,40731,41355,41950,42529,43179,43823,44469,45133,45820,46442,47098,47741,48443,49170,49850,50575,51338,52138,52894,53741,54539,55387,56229,57060,57984,58884,59770,60659,61621,62574,63530,64497,65538,66531,67547,68582,69633,70740,71846,72919,74030,75210,76389,77582,78738,80030,81285,82457,83700,84947,86258,87613,88956,90244,91662,93056,94474,95942,97370,98855,100334,101843,103334,104780,106374,107990,109589,111207,112857,114593,116256,118017,119775,121584,123384,125163,127096,128970,130909,132885,134855,136824,138780,140919,142987,145161,147270,149469,151692,153964,156320,158732,161099,163470,165842,168266,170685,173162,175620,178122,180712,183353,185910,188537,191138,193938,196649,199491,202371,205171,208118,211031,214026,217130,220322,223595,226889,230122,233545,236853,240289,243811,247285,250813,254490,258104,261930,265779,269631,273594,277511,281569,285695,289786,293991,298049,302303,306551,310954,315361,319844,324357,328958,333669,338549,343350,348230,353132,358151,363047,368269,373290,378528,383721,389093,394502,399952,405452,411105,416798,422531,428305,434140,440119,446129,452154,458110,464481,470723,477162,483464,490052,496661,503362,510007,516858,523691,530632,537908,545133,552377,559869,567437,575161,582968,590829,598766,606795,614873,622987,631326
1,1,1,3,4,10,10,10,15,19,22,26,31,39,46,54,57,61,68,76,90,103,114,123,133,139,147,151,171,187,193,205,217,235,245,259,280,298,313,329,347,365,388,410,436,452,477,493,525,553,589,620,658,692,719,758,788,823,862,906,951,1000,1043,1080,1126,1190,1239,1291,1346,1411,1465,1512,1564,1624,1689,1743,1807,1884,1937,2008,2068,2127,2198,2267,2338,2404,2477,2556,2630,2709,2781,2852,2917,3000,3062,3134,3217,3301,3363,3441,3514,3602,3669,3753,3828,3912,3994,4067,4143,4223,4303,4397,4489,4575,4672,4759,4865,4951,5064,5173,5300,5419,5530,5650,5752,5877,6016,6146,6303,6420,6550,6657,6796,6911,7043,7170,7335,7451,7577,7722,7850,7964,8079,8189,8314,8473,8614,8746,8890,9010,9145,9290,9394,9540,9674,9815,9957,10115,10262,10404,10550,10704,10830,10950,11097,11234,11387,11541,11688,11850,11990,12129,12292,12456,12620,12790,12958,13117,13283,13447,13611,13828,13996,14165,14327,14511,14710,14902,15096,15281,15461,15675,15876,16093,16311,16535,16763,16977,17206,17460,17689,17918,18145,18379,18600,18854,19116,19343,19599,19876,20144,20421,20695,20978,21264,21557,21828,22172,22484,22791,23105,23452,23808,24193,24565,24930,25289,25621,25966,26367,26751,27143,27566,28023,28495,28919,29369,29793,30232,30675,31176,31679,32207,32720,33208,33776,34315,34814,35346,35900,36472,37016,37566,38126,38712,39322,39870,40443,41064,41687,42264,42868,43524,44155,44829,45455,46064,46731,47386,48047,48708,49365,50047,50746,51432,52050,52787,53459,54149,54873,55535,56279,56987,57740,58501,59263,60035,60838,61633,62473,63261,64080,64910,65787,66671,67521,68448,69279,70135,71033,72014,72953,73950,74981,75986,77023,78081,79130,80186,81295,82325,83409,84457,85501,86556,87631,88750,89807,90945,92038,93138,94250,95443,96640,97757,98957,100165,101444,102627,103811,105028,106334,107647,108952,110290,111612,112965,114347,115787,117221,118716,120118,121685,123263,124782,126333,127937,129532,131127,132803,134553,136359,138186,139993,141766,143629,145478,147309,149155,151013,152942,154927,156928,159021,161171,163363,165458,167491,169642,171854,174034,176184,178495,180873,183207,185607,188016,190538,193009,195506,198010,200572,203169,205819,208350,211007,213783,216571,219338,222139,225017,227960,230853,233949,237017,240071,243311,246551,249811,252989,256363,259656,263057,266445,269979,273501,277082,280699,284374,288237,292058,295945,299821,303792,307736,311642,315638,319721,323932,328309,332670,337085,341471,346016,350585,355298,360048,364739,369430,374336,379307,384206,389128,394243,399501,404744,409977,415326,420766,426213,431844,437346,443070,448893,454782,460742,466561,472589,478764,485114,491292,497444,503755,510153,516769,523392,530069,537010,543763,550734,557849,564917,572140,579477,586763,594251,601702,609272,617143,624977,632981,641062,649220,657534,665964,674350,683152,691890,700891,709893,718908,728339,737703,747200,756668,766345,776406,786758,797011,807188,817826,828386,839145,850049,861158,872290,883329
1,1,1,1,1,1,1,1,1,3,3,4,6,7,9,13,15,19,22,22,24,26,28,30,32,39,43,60,69,76,85,92,102,116,120,127,136,141,153,166,177,188,203,213,224,231,248,262,276,295,304,309,317,331,350,357,371,388,412,431,460,480,501,535,560,590,627,664,699,731,770,806,840,876,902,942,972,998,1031,1067,1103,1153,1191,1211,1242,1280,1306,1339,1368,1398,1427,1460,1506,1540,1577,1615,1650,1687,1716,1750,1785,1818,1856,1889,1929,1973,2024,2055,2093,2127,2168,2225,2273,2324,2354,2393,2435,2465,2503,2546,2578,2617,2663,2711,2747,2806,2861,2919,2974,3017,3072,3123,3170,3249,3315,3372,3443,3496,3535,3601,3657,3725,3772,3836,3900,3961,4020,4066,4112,4172,4245,4308,4391,4450,4505,4574,4641,4725,4800,4874,4951,5032,5123,5223,5321,5389,5458,5533,5631,5739,5819,5921,6011,6098,6219,6333,6419,6513,6623,6708,6813,6912,7034,7128,7244,7365,7477,7582,7675,7783,7877,7990,8077,8193,8319,8441,8569,8687,8795,8894,9007,9122,9248,9359,9468,9588,9695,9821,9948,10064,10178,10291,10412,10551,10681,10815,10967,11099,11246,11384,11541,11671,11821,11991,12120,12270,12413,12575,12733,12898,13055,13213,13376,13540,13701,13882,14056,14221,14406,14607,14794,15000,15202,15449,15634,15839,16043,16253,16468,16702,16942,17165,17394,17613,17859,18106,18344,18574,18827,19062,19324,19575,19854,20140,20413,20702,21013,21269,21566,21864,22148,22403,22711,22971,23238,23550,23795,24058,24322,24599,24873,25163,25451,25727,26007,26282,26571,26851,27160,27468,27790,28106,28396,28739,29060,29385,29719,30095,30432,30802,31172,31565,31921,32283,32638,33028,33428,33859,34238,34631,35012,35425,35825,36215,36626,37067,37469,37946,38404,38824,39269,39754,40252,40709,41167,41680,42223,42742,43275,43766,44296,44873,45471,46048,46591,47173,47761,48316,48874,49479,50086,50672,51248,51863,52458,53059,53701,54332,54924,55534,56167,56835,57483,58087,58712,59379,60013,60652,61326,61976,62644,63304,63984,64680,65417,66164,66900,67721,68475,69300,70068,70877,71771,72596,73418,74373,75360,76295,77231,78211,79221,80202,81238,82297,83341,84428,85522,86665,87777,88961,90092,91290,92502,93693,94966,96164,97395,98633,99942,101265,102636,103914,105304,106784,108104,109487,110971,112487,114009,115534,117079,118610,120244,121884,123558,125217,126889,128687,130439,132321,134098,135867,137780,139665,141595,143545,145623,147776,149944,152096,154364,156492,158748,161087,163350,165728,168096,170430,172736,175205,177674,180334,182901,185509,188096,190795,193498,196200,198959,201729,204632,207458,210372,213363,216378,219461,222574,225744,229007,232350,235670,239064,242601,246114,249638,253208,256807,260599,264284,268011,271794,275613,279676,283628,287561,291715,295792,300040,304328,308582,312850,317265,321748,326285,330922,335623,340454,345310,350047,354975,360053,365019,370201,375308,380532,385906,391274
1,1,1,1,1,2,2,7,12,12,13,13,15,16,24,36,41,48,56,63,65,75,83,93,101,109,116,127,137,150,163,177,195,210,228,239,247,261,284,290,303,325,338,353,371,389,417,445,472,510,542,582,616,662,715,766,819,869,926,985,1052,1121,1179,1222,1279,1318,1373,1432,1488,1529,1598,1650,1698,1748,1794,1857,1910,1961,2010,2059,2109,2164,2217,2267,2315,2365,2417,2477,2524,2579,2643,2700,2760,2829,2887,2954,3005,3066,3140,3203,3280,3348,3406,3474,3543,3594,3660,3722,3796,3871,3969,4047,4136,4232,4342,4417,4528,4617,4713,4818,4924,5011,5128,5220,5309,5408,5532,5630,5725,5833,5931,6046,6144,6260,6383,6492,6607,6728,6826,6930,7048,7163,7271,7397,7511,7623,7729,7849,7954,8082,8193,8319,8428,8559,8700,8841,8979,9130,9266,9408,9544,9661,9811,9966,10123,10275,10449,10622,10812,10994,11144,11317,11502,11699,11896,12092,12297,12501,12676,12879,13084,13291,13514,13750,13994,14245,14505,14738,14984,15241,15488,15745,15943,16174,16419,16670,16922,17206,17447,17705,17958,18228,18499,18743,18993,19252,19529,19813,20109,20413,20715,21006,21308,21598,21871,22167,22477,22809,23091,23397,23745,24048,24399,24752,25080,25456,25816,26194,26594,26982,27391,27806,28216,28631,29083,29522,29963,30391,30838,31270,31707,32135,32574,33035,33484,33967,34460,34944,35453,35971,36453,36953,37458,38032,38589,39134,39659,40265,40825,41397,41952,42585,43133,43732,44313,44958,45592,46206,46854,47444,48068,48690,49310,49983,50665,51369,51964,52606,53264,53869,54568,55284,55998,56690,57415,58151,58920,59583,60368,61147,61918,62688,63505,64323,65164,65995,66886,67755,68632,69578,70554,71488,72399,73390,74416,75447,76483,77539,78559,79603,80628,81651,82683,83772,84798,85877,86955,88046,89212,90376,91576,92782,93955,95183,96361,97652,98834,100091,101405,102731,104057,105413,106739,108090,109437,110838,112291,113729,115249,116731,118251,119779,121376,123013,124610,126157,127822,129414,131091,132838,134551,136316,138155,139926,141737,143590,145482,147507,149503,151464,153426,155516,157640,159703,161883,164096,166335,168559,170864,173132,175386,177731,180072,182430,184848,187296,189867,192325,194878,197472,200125,202864,205521,208184,211051,213831,216650,219519,222410,225406,228422,231380,234423,237520,240719,243941,247237,250494,253891,257271,260736,264283,267771,271358,275009,278777,282477,286247,290109,294114,297916,301935,306092,310257,314439,318752,323190,327815,332343,336934,341516,346221,351051,355902,360893,365934,371143,376195,381490,386838,392252,397813,403506,409283,414980,420813,426642,432554,438657,444850,451088,457577,463918,470370,476930,483525,490174,497177,504050,510948,518060,525221,532466,539799,547117,554553,562190,569885,577689,585596,593551,601776,610021,618341,626681,635359,644060,652871,661911,671083,680230,689577,699000,708562,718233,728096,738112,748375,758601,769003,779525,790260,801092,812302,823507,834762,846438,858080,870128,881964,894211,906460,919064,931602,944744,957687,971009
1,1,1,1,1,1,2,3,5,7,8,9,9,12,13,17,18,19,23,25,25,26,27,28,31,34,44,45,55,62,66,75,84,88,95,97,103,117,128,131,138,147,152,160,169,180,189,202,211,219,223,228,235,247,256,266,277,288,294,300,311,314,319,328,336,343,353,364,381,389,402,410,419,426,436,451,466,480,494,508,527,540,553,564,585,603,621,640,656,672,692,709,723,738,748,766,783,799,816,836,852,871,897,916,945,967,985,1002,1032,1054,1083,1108,1145,1170,1192,1221,1252,1281,1314,1349,1387,1429,1476,1511,1546,1582,1615,1647,1686,1715,1741,1787,1827,1865,1914,1950,1987,2021,2067,2113,2154,2214,2266,2313,2363,2408,2468,2512,2579,2637,2698,2762,2827,2883,2946,3022,3110,3201,3269,3347,3431,3513,3589,3656,3747,3836,3912,3980,4066,4140,4222,4286,4371,4479,4561,4638,4723,4804,4899,4974,5052,5147,5243,5332,5427,5526,5647,5753,5826,5914,5993,6078,6172,6266,6330,6438,6528,6620,6719,6806,6888,6994,7085,7182,7264,7344,7429,7510,7598,7702,7813,7895,8004,8112,8195,8305,8399,8500,8616,8715,8807,8906,8995,9100,9205,9296,9394,9488,9611,9722,9842,9956,10078,10221,10364,10502,10636,10777,10929,11081,11228,11397,11559,11703,11865,12029,12186,12333,12490,12674,12843,12997,13155,13350,13515,13694,13875,14050,14225,14387,14561,14735,14929,15132,15313,15498,15681,15882,16098,16303,16510,16727,16911,17112,17311,17519,17714,17920,18136,18320,18523,18750,18964,19176,19386,19607,19842,20078,20329,20565,20813,21074,21299,21587,21852,22136,22416,22729,23047,23334,23633,23966,24290,24618,24947,25297,25647,26028,26373,26707,27108,27461,27821,28180,28492,28872,29265,29630,29982,30367,30739,31106,31513,31869,32270,32650,33046,33431,33791,34191,34559,34949,35373,35782,36179,36608,37044,37447,37845,38299,38701,39129,39537,39984,40410,40822,41256,41733,42223,42670,43129,43594,44041,44535,45038,45527,46031,46542,47018,47517,48059,48595,49141,49698,50288,50853,51435,52023,52577,53167,53796,54432,55056,55684,56340,56984,57643,58348,59025,59709,60426,61138,61839,62547,63309,64000,64714,65457,66218,66899,67646,68362,69135,69858,70631,71439,72225,73013,73842,74658,75476,76307,77145,77950,78797,79675,80549,81364,82281,83137,84023,84975,85910,86902,87827,88826,89762,90717,91675,92701,93785,94872,95896,97058,98225,99361,100486,101592,102822,104067,105284,106533,107723,109010,110305,111609,112938,114236,115552,116947,118311,119709,121202,122653,124056,125550,127027,128581,130101,131655,133257,134870,136564,138223,139952,141609,143325,145058,146798,148585,150357,152166,153911,155848,157693,159562,161493,163523,165578,167586,169528,171522,173630,175763,177946,180135,182353,184673,186989,189364,191783,194030,196398,198802,201276,203751,206243,208940,211686,214401,217171,219962,222779,225590,228505,231374,234385
1,1,3,3,5,8,11,13,15,21,24,27,32,38,44,49,61,67,73,82,88,101,113,123,131,141,153,160,179,196,215,226,238,253,274,291,305,324,344,375,395,423,453,475,507,561,590,626,662,701,758,797,840,880,923,969,1012,1051,1113,1150,1204,1250,1281,1328,1372,1405,1438,1479,1514,1545,1580,1608,1645,1685,1730,1775,1808,1841,1879,1917,1961,1994,2035,2082,2124,2159,2200,2231,2288,2328,2385,2445,2497,2563,2608,2663,2720,2785,2852,2933,3015,3100,3193,3301,3400,3485,3605,3721,3833,3936,4081,4179,4318,4467,4606,4731,4866,4987,5117,5252,5393,5521,5659,5801,5947,6087,6222,6327,6473,6593,6714,6840,7000,7130,7291,7414,7541,7678,7806,7936,8085,8224,8379,8539,8683,8853,9019,9181,9329,9491,9679,9869,10020,10187,10351,10553,10736,10928,11098,11288,11477,11680,11867,12062,12211,12390,12568,12731,12913,13084,13255,13428,13605,13748,13924,14081,14247,14414,14576,14757,14915,15066,15216,15394,15551,15715,15870,16033,16212,16398,16589,16777,16960,17172,17366,17549,17770,17983,18200,18441,18711,18954,19182,19436,19674,19938,20201,20473,20759,21031,21322,21618,21925,22221,22508,22791,23084,23376,23693,23969,24273,24574,24892,25187,25498,25821,26128,26428,26780,27090,27402,27696,28056,28404,28742,29069,29410,29764,30108,30497,30848,31223,31610,32003,32362,32714,33083,33469,33841,34271,34692,35097,35517,35932,36325,36757,37197,37686,38159,38651,39123,39666,40186,40725,41259,41801,42341,42901,43472,44038,44671,45257,45902,46531,47221,47865,48526,49193,49874,50565,51234,51887,52575,53344,54142,54889,55653,56431,57224,58048,58835,59639,60526,61305,62204,63110,63996,64929,65856,66765,67716,68674,69691,70699,71721,72725,73814,74820,75960,77063,78245,79401,80570,81719,82875,83989,85116,86292,87512,88691,89912,91121,92340,93582,94851,96123,97372,98708,100024,101389,102729,104099,105451,106858,108309,109745,111179,112690,114218,115699,117186,118732,120350,121984,123621,125255,126983,128680,130395,132187,134075,135877,137792,139692,141707,143590,145474,147491,149583,151622,153725,155821,157940,160064,162246,164488,166688,169028,171310,173540,175922,178296,180694,183144,185638,188171,190710,193213,195830,198481,201097,203745,206335,209091,211948,214720,217604,220441,223255,226148,229137,232197,235275,238436,241599,244750,248050,251444,254665,257944,261388,264908,268470,271967,275587,279207,282845,286426,290135,293902,297750,301657,305603,309625,313599,317684,321925,326120,330306,334617,338896,343296,347673,352076,356629,361209,365891,370667,375442,380276,385177,390091,395044,400018,405114,410352,415815,421149,426755,432207,437783,443342,449116,454906,460918,466846,472925,479159,485261,491577,498106,504625,511175,517886,524645,531474,538369,545421,552514,559703,567164,574424,581906,589546,597314,605161,613025,621061,629231,637458,645917,654666,663386,672419,681246,690133,699170,708549,718236,727844,737565,747545,757496,767778,777979,788300,798843,809604,820267,831170,842421,853516,865091,876601,888391,900303,912229
1,1,1,1,1,2,5,10,13,13,13,14,20,21,23,26,30,36,38,44,46,48,53,59,65,72,73,77,86,94,103,109,117,130,138,147,153,162,172,182,191,199,202,206,214,219,226,230,232,238,245,252,254,259,260,263,267,270,270,271,273,277,283,286,288,289,290,294,296,298,299,300,303,304,307,308,311,313,314,314,315,317,317,320,322,324,325,328,331,336,341,342,346,348,353,359,365,370,375,388,394,399,413,423,430,446,460,475,482,503,508,520,528,541,554,566,576,593,613,625,645,664,677,691,703,720,736,750,760,775,793,810,820,841,856,874,892,908,929,953,970,992,1013,1040,1066,1102,1131,1156,1185,1217,1239,1267,1306,1332,1366,1394,1430,1464,1504,1540,1577,1622,1652,1691,1728,1774,1821,1863,1894,1943,1977,2005,2044,2087,2134,2177,2228,2290,2361,2411,2462,2498,2561,2629,2723,2794,2858,2920,2999,3061,3132,3209,3286,3368,3447,3509,3598,3675,3748,3823,3898,3967,4041,4113,4191,4282,4364,4464,4534,4615,4692,4777,4851,4937,5038,5129,5204,5293,5380,5464,5540,5639,5729,5825,5924,6034,6155,6246,6353,6455,6562,6671,6776,6881,6988,7104,7209,7316,7442,7576,7675,7808,7910,8011,8132,8247,8389,8493,8612,8750,8876,9000,9139,9285,9453,9600,9778,9928,10095,10242,10404,10560,10745,10926,11096,11281,11485,11667,11862,12088,12284,12483,12691,12905,13137,13343,13567,13767,13968,14175,14404,14647,14915,15177,15451,15686,15988,16252,16568,16869,17140,17456,17749,18026,18325,18629,18961,19275,19586,19859,20157,20475,20785,21098,21396,21695,22016,22319,22643,22983,23298,23644,23981,24325,24641,25007,25376,25730,26104,26497,26907,27319,27753,28176,28605,29024,29393,29852,30322,30771,31214,31675,32148,32626,33092,33624,34127,34667,35175,35678,36174,36739,37234,37844,38403,38971,39570,40120,40669,41242,41821,42414,43054,43680,44300,44939,45612,46289,46997,47648,48400,49079,49795,50494,51254,52043,52788,53527,54348,55182,56001,56834,57663,58569,59452,60366,61261,62214,63133,64105,65140,66161,67198,68294,69365,70468,71635,72804,73988,75168,76378,77558,78791,80119,81390,82661,84018,85419,86809,88220,89655,91208,92694,94210,95718,97249,98715,100347,101904,103542,105168,106901,108634,110332,112103,113931,115734,117523,119394,121157,123102,125070,126981,128952,130925,133018,135098,137229,139374,141504,143766,146034,148311,150661,153052,155583,158119,160551,163189,165806,168404,171083,173845,176681,179555,182463,185280,188367,191402,194389,197350,200368,203478,206629,209917,213317,216548,219966,223383,226775,230205,233597,237106,240636,244165,247863,251577,255413,259239,263048,267014,271118,275059,279238,283332,287537,291804,296180,300676,305098,309742,314373,319007,323645,328526,333250,338108,343044,348063,353131,358258,363545,368760,373995,379297,384794,390364
1,1,1,3,3,3,4,6,7,9,12,13,13,13,13,14,16,16,19,23,24,30,36,42,47,56,60,72,82,92,99,112,125,138,153,179,200,221,247,272,301,321,350,370,395,421,445,475,503,526,561,585,603,633,657,683,713,747,769,804,829,858,885,914,944,971,1001,1051,1083,1106,1142,1186,1229,1270,1319,1356,1392,1428,1482,1544,1611,1669,1720,1763,1815,1857,1911,1968,2028,2088,2133,2214,2266,2352,2425,2488,2538,2605,2671,2742,2811,2870,2948,3011,3084,3152,3231,3304,3362,3416,3468,3521,3579,3633,3705,3781,3851,3914,3980,4041,4115,4206,4274,4374,4477,4587,4681,4759,4853,4956,5060,5156,5265,5371,5466,5573,5703,5825,5923,6051,6182,6299,6436,6579,6714,6857,6996,7142,7266,7409,7555,7698,7856,8021,8167,8332,8515,8699,8876,9051,9238,9411,9602,9814,9995,10185,10402,10608,10835,11018,11246,11467,11692,11928,12173,12406,12665,12945,13188,13419,13713,13980,14232,14493,14778,15069,15341,15634,15897,16177,16437,16721,17037,17315,17616,17937,18237,18545,18846,19170,19477,19787,20074,20372,20667,20970,21323,21642,21919,22242,22589,22943,23290,23636,23969,24352,24697,25055,25461,25845,26235,26596,26956,27341,27689,28097,28512,28915,29373,29825,30248,30697,31124,31546,31988,32459,32905,33365,33859,34323,34891,35412,35936,36486,37048,37611,38173,38723,39278,39873,40492,41106,41730,42381,43012,43668,44365,45049,45758,46525,47266,48066,48874,49652,50501,51330,52172,53014,53850,54743,55662,56620,57570,58546,59531,60559,61627,62712,63776,64840,65900,67056,68251,69405,70576,71823,73037,74316,75601,76991,78310,79603,80940,82354,83714,85226,86656,88151,89588,91066,92588,94086,95597,97163,98699,100247,101964,103691,105404,107119,108859,110640,112435,114345,116208,118086,119982,121818,123864,125933,127946,130126,132185,134268,136415,138617,140951,143250,145641,147943,150287,152672,155097,157617,160158,162654,165216,167858,170571,173302,176019,178851,181637,184381,187064,189896,192767,195675,198627,201638,204745,207859,211053,214325,217571,220945,224327,227707,231239,234826,238448,242155,245949,249882,253780,257673,261713,265730,269850,274019,278453,282847,287157,291742,296311,300905,305489,310285,315131,319992,325020,329964,335063,340311,345519,350764,356056,361411,366726,372179,377769,383340,389024,394784,400530,406434,412432,418327,424515,430772,436951,443277,449496,455854,462362,469053,475552,482327,489184,495993,503101,510049,517152,524494,531787,539190,546558,554113,561842,569544,577334,585400,593541,601769,610085,618452,626898,635601,644310,653260,662017,671033,680129,689380,698785,708220,717742,727427,737042,747061,757097,767111,777547,787971,798391,808978,819666,830429,841308,852603,864030,875258,886875,898724,910671,922580,934644,947095,959297,971685,984237,997176,1009935,1022915,1036115,1049305,1062739,1076208,1089950,1103591,1117557,1131425,1145825,1160318,1175114,1189554,1204439,1219291,1234271,1249616,1265097,1280647,1296384,1312416,1328451,1344746,1361048,1377620,1394274,1411300,1428419,1445403,1462872,1480770,1498656,1516789,1534992
1,1,1,1,1,1,3,3,3,5,7,7,8,8,11,11,11,13,14,19,21,25,28,34,38,41,45,51,56,65,70,82,94,105,116,130,143,153,169,181,193,205,213,226,244,263,277,291,306,331,352,368,387,399,421,437,459,480,499,525,540,558,586,612,632,653,673,693,723,744,766,789,811,830,850,873,902,928,957,970,995,1009,1031,1059,1086,1106,1133,1160,1183,1203,1224,1247,1267,1283,1303,1313,1330,1344,1359,1373,1397,1424,1439,1463,1478,1497,1516,1532,1555,1577,1601,1623,1637,1654,1676,1700,1725,1754,1782,1810,1844,1865,1896,1930,1960,1998,2033,2077,2111,2149,2179,2216,2260,2309,2347,2386,2434,2483,2541,2590,2641,2688,2743,2792,2836,2898,2946,3016,3065,3122,3179,3232,3293,3355,3411,3487,3550,3615,3684,3748,3807,3865,3940,3997,4055,4116,4196,4258,4326,4399,4481,4553,4634,4709,4792,4892,4979,5077,5161,5271,5359,5463,5581,5695,5809,5944,6047,6196,6327,6465,6575,6705,6840,6984,7141,7301,7451,7586,7737,7889,8034,8183,8341,8510,8644,8805,8956,9114,9262,9412,9571,9735,9883,10047,10193,10348,10493,10637,10793,10950,11103,11256,11421,11581,11728,11866,12027,12202,12356,12516,12694,12853,13026,13199,13374,13561,13728,13900,14078,14251,14431,14599,14765,14958,15155,15363,15560,15743,15926,16114,16327,16526,16736,16940,17128,17307,17553,17763,18011,18248,18454,18669,18906,19155,19410,19639,19894,20156,20434,20708,20965,21213,21453,21746,21992,22273,22559,22828,23107,23383,23658,23920,24224,24545,24835,25152,25455,25775,26079,26412,26740,27080,27401,27733,28026,28382,28730,29100,29511,29892,30288,30695,31092,31505,31919,32341,32738,33171,33615,34037,34457,34899,35389,35856,36333,36843,37352,37880,38398,38918,39434,40008,40575,41190,41732,42300,42866,43484,44068,44643,45218,45807,46449,47080,47720,48359,48983,49620,50227,50922,51595,52260,52925,53598,54298,55042,55706,56421,57167,57877,58609,59353,60088,60857,61600,62403,63171,63949,64787,65620,66461,67319,68170,69043,69964,70878,71812,72746,73753,74711,75658,76649,77715,78784,79825,80895,81954,83095,84205,85266,86361,87490,88662,89818,91075,92269,93480,94726,95996,97229,98534,99767,101107,102486,103934,105313,106769,108189,109710,111137,112672,114173,115716,117271,118891,120502,122084,123783,125466,127135,128778,130534,132226,133992,135712,137514,139269,141090,142857,144727,146636,148532,150473,152429,154394,156372,158355,160351,162408,164501,166600,168770,170953,173177,175429,177800,180089,182322,184708,187046,189534,191999,194531,197117,199658,202297,204965,207698,210486,213285,215998,218826,221631,224548,227410,230331,233227,236298,239322,242221,245337,248555,251689,254887,258112,261332,264608,267853,271188,274576,277978,281325,284776,288361,292108,295832,299540,303271,307189,311230,315095,319157,323263,327410,331593,335811,340152,344429,348751,353302,357872,362484,367241,372036,376779,381691,386821
1,1,1,1,1,2,4,7,9,13,20,26,31,37,47,56,59,70,83,95,111,125,140,154,176,199,214,244,266,287,311,335,355,372,395,408,432,458,487,514,550,585,618,658,687,714,754,781,813,857,895,943,978,1014,1065,1102,1133,1178,1232,1270,1312,1353,1402,1460,1511,1573,1620,1684,1743,1789,1845,1881,1930,1969,2018,2075,2138,2209,2262,2319,2353,2407,2464,2518,2565,2625,2691,2740,2785,2834,2884,2940,3003,3068,3129,3178,3242,3309,3360,3433,3507,3583,3652,3719,3772,3821,3895,3945,4008,4087,4173,4249,4317,4383,4447,4513,4590,4661,4726,4804,4886,4958,5033,5099,5188,5274,5355,5435,5515,5617,5721,5835,5941,6034,6137,6257,6366,6464,6588,6701,6830,6950,7068,7179,7280,7428,7539,7651,7780,7895,8003,8107,8224,8344,8475,8590,8709,8848,8973,9101,9244,9381,9517,9663,9807,9945,10083,10217,10370,10524,10680,10850,11012,11164,11306,11463,11642,11798,11953,12118,12283,12446,12616,12795,12955,13133,13307,13493,13677,13848,14014,14201,14388,14582,14755,14938,15123,15318,15539,15733,15934,16176,16379,16612,16834,17026,17267,17473,17740,17975,18204,18435,18671,18967,19222,19515,19796,20065,20345,20639,20924,21210,21525,21857,22189,22473,22806,23134,23493,23841,24192,24532,24869,25202,25503,25860,26177,26532,26889,27240,27604,27982,28324,28690,29077,29443,29831,30257,30649,31044,31408,31806,32215,32639,33057,33472,33899,34327,34748,35222,35690,36135,36563,37024,37464,37889,38369,38830,39356,39841,40344,40829,41344,41888,42408,42925,43440,44021,44624,45203,45768,46340,46904,47462,48074,48691,49327,49975,50682,51392,52091,52820,53553,54247,54991,55749,56558,57395,58179,59001,59850,60674,61564,62418,63315,64249,65156,66126,67083,68048,69011,69968,70962,71901,72879,73950,75003,76085,77138,78224,79337,80421,81573,82723,83779,84945,86177,87326,88469,89695,90877,92088,93329,94655,95898,97146,98400,99776,101033,102350,103712,105051,106430,107837,109263,110658,112148,113567,114974,116511,118028,119612,121107,122694,124224,125809,127448,129034,130733,132467,134158,135901,137616,139440,141188,142968,144854,146721,148599,150518,152435,154442,156433,158469,160529,162619,164662,166828,169069,171202,173496,175872,178296,180619,183049,185515,188060,190629,193277,195998,198738,201510,204368,207212,210128,213080,216059,219026,222165,225400,228591,231787,234977,238294,241708,245080,248614,252154,255747,259313,262977,266761,270576,274425,278311,282187,286223,290251,294238,298255,302548,306870,311154,315443,319776,324187,328774,333322,338107,342974,347886,352805,357760,362772,367820,372923,378132,383417,388783,394116,399633,405128,410665,416431,422119,427853,433752,439528,445526,451639,457850,464108,470498,476804,483239,489777,496220,503057,509784,516655,523799,530733,537703,544835,552050,559429,566749,574205,581786,589546,597315,605368,613442,621494,629654,638081,646566,655074,663832,672751,681807,690979,700147,709434,718891,728456,737933,747793,757708,767833,777883,788118,798529,808825,819529,830445,841306
1,1,1,1,1,1,1,3,3,7,10,13,16,22,25,26,31,32,34,47,50,52,56,60,68,84,93,99,109,121,133,151,168,175,193,209,227,252,268,292,310,341,358,387,414,443,479,514,553,602,657,691,720,754,789,820,864,897,936,968,1010,1048,1094,1145,1187,1220,1264,1311,1353,1399,1456,1506,1538,1583,1626,1679,1734,1789,1829,1878,1925,1973,2043,2083,2142,2199,2243,2304,2366,2429,2482,2537,2590,2654,2709,2759,2811,2861,2918,2962,3007,3070,3125,3184,3233,3280,3335,3381,3434,3500,3544,3592,3669,3730,3782,3850,3891,3939,3981,4031,4084,4150,4211,4278,4346,4418,4482,4541,4612,4669,4724,4795,4855,4913,4996,5067,5124,5189,5257,5322,5393,5467,5534,5603,5673,5740,5801,5884,5964,6046,6126,6190,6263,6332,6411,6501,6561,6663,6753,6827,6911,7018,7115,7222,7343,7452,7538,7645,7747,7860,7974,8082,8183,8311,8451,8563,8674,8793,8918,9048,9151,9268,9413,9539,9678,9807,9941,10084,10201,10351,10504,10664,10812,10974,11122,11282,11432,11598,11740,11891,12059,12203,12348,12490,12656,12809,12974,13155,13318,13486,13638,13823,14003,14182,14373,14570,14749,14948,15133,15346,15575,15780,16033,16261,16482,16740,16974,17225,17486,17746,18021,18240,18465,18754,18995,19271,19505,19753,19979,20226,20492,20721,20958,21225,21462,21685,21979,22273,22551,22843,23141,23489,23799,24113,24413,24714,25019,25337,25667,26006,26305,26634,26990,27301,27657,28017,28348,28675,29021,29307,29643,29991,30320,30675,31001,31341,31681,32046,32414,32766,33140,33531,33920,34340,34716,35129,35563,35947,36330,36770,37198,37627,38040,38459,38936,39395,39847,40335,40820,41342,41805,42301,42801,43324,43829,44374,44951,45498,46056,46695,47291,47932,48589,49180,49831,50501,51106,51764,52445,53125,53853,54600,55328,56128,56897,57666,58465,59274,60097,60923,61730,62504,63348,64251,65125,66095,67056,67996,68970,69895,70849,71840,72814,73840,74838,75838,76909,77991,79088,80174,81266,82406,83567,84713,85858,87058,88267,89494,90743,91986,93296,94638,95913,97334,98655,99992,101357,102779,104107,105615,107054,108529,110008,111500,112969,114532,116115,117727,119313,120926,122548,124137,125758,127386,129111,130836,132454,134210,135981,137794,139665,141537,143444,145444,147432,149435,151436,153466,155550,157708,159835,162027,164266,166538,168844,171158,173596,176012,178413,181061,183476,186096,188711,191307,193900,196713,199447,202085,204891,207645,210536,213539,216494,219522,222525,225678,228787,232011,235151,238427,241702,245153,248535,251842,255378,258818,262346,265863,269464,273021,276748,280521,284242,288048,291862,295628,299410,303360,307549,311581,315627,319722,323865,327981,332206,336622,340998,345396,349925,354492,359130,363845,368613,373366,378234,383250,388459,393534,398666,404044,409341,414792,420353,425953,431544,437149,442913,448706,454634,460600,466661,472865,479092,485444,491780,498287,504921,511617,518324,525144,531920,538894,545921,553169,560561,567895,575375
1,1,1,1,1,3,5,6,6,6,10,13,20,25,29,35,41,50,54,58,63,67,77,89,102,109,115,129,136,151,166,178,196,214,222,236,253,270,289,301,318,334,350,372,386,406,415,430,447,465,490,496,505,515,525,537,553,573,586,601,625,639,644,657,667,679,695,712,724,739,759,779,792,814,830,847,873,894,908,931,947,958,972,988,1010,1026,1040,1071,1095,1124,1154,1187,1210,1238,1262,1299,1322,1351,1381,1410,1441,1477,1523,1554,1589,1618,1653,1694,1732,1768,1812,1858,1905,1943,1991,2037,2100,2161,2208,2264,2311,2365,2412,2458,2519,2574,2640,2694,2759,2827,2886,2959,3042,3114,3195,3262,3335,3407,3499,3555,3623,3701,3785,3866,3954,4041,4141,4219,4297,4387,4485,4568,4663,4733,4825,4910,4998,5117,5212,5313,5410,5514,5642,5762,5864,5968,6080,6181,6309,6440,6558,6688,6819,6961,7094,7206,7353,7491,7626,7783,7932,8092,8226,8381,8531,8668,8851,8996,9160,9330,9504,9675,9840,9994,10179,10364,10547,10704,10888,11084,11247,11406,11583,11786,11961,12171,12376,12596,12804,13012,13220,13418,13634,13849,14082,14299,14521,14768,14999,15223,15504,15757,16005,16264,16507,16755,17009,17230,17533,17791,18073,18334,18570,18862,19115,19377,19649,19915,20169,20459,20765,21024,21292,21592,21906,22226,22551,22842,23166,23481,23801,24130,24458,24766,25089,25413,25772,26134,26504,26837,27217,27625,27999,28386,28789,29150,29559,29990,30404,30824,31237,31650,32115,32554,33005,33402,33843,34295,34765,35256,35782,36253,36762,37324,37856,38402,38935,39428,39961,40511,41084,41640,42243,42884,43533,44180,44902,45550,46229,46934,47608,48317,49052,49818,50598,51356,52201,52996,53840,54736,55629,56495,57357,58237,59133,60066,60978,61923,62903,63891,64853,65889,66911,67950,69026,70051,71158,72285,73448,74595,75787,76956,78124,79371,80559,81844,83136,84398,85653,86988,88346,89774,91211,92655,94086,95585,97081,98643,100197,101739,103348,104972,106630,108365,110043,111694,113381,115116,116905,118697,120618,122557,124399,126260,128182,130155,132162,134152,136233,138319,140435,142556,144701,146919,149223,151486,153778,156170,158538,160963,163418,166023,168511,171018,173535,176139,178807,181555,184244,186994,189722,192505,195341,198309,201314,204304,207388,210407,213538,216605,219791,222958,226245,229387,232679,236055,239504,243097,246625,250113,253816,257475,261303,265059,269031,272983,277123,281258,285590,289954,294428,298713,303316,307910,312485,317252,322037,326860,331757,336832,341874,347070,352258,357618,362867,368250,373566,379075,384679,390485,396176,402030,407923,413769,419670,425675,431822,437966,444245,450627,456899,463413,469905,476528,482920,489602,496272,503198,510183,517065,524085,531159,538409,545762,552966,560433,568016,575682,583403,591269,599135,607267,615558,623907,632037,640591,649121,657730,666647,675669,684759,693942,703353,712952,722495,732468,742618,752650,763029,773251,783742,794398,805109,816028,827018,838202,849407
1,1,1,1,2,2,2,5,8,9,9,9,10,12,16,19,21,23,28,32,40,47,50,53,55,63,71,78,87,95,101,109,117,136,144,163,174,189,204,222,239,259,267,286,304,317,338,359,382,411,427,450,483,518,551,587,610,643,676,714,757,786,816,865,910,946,995,1033,1068,1114,1153,1198,1231,1285,1327,1382,1426,1473,1517,1551,1586,1632,1670,1720,1768,1802,1848,1888,1926,1957,2004,2049,2084,2108,2141,2188,2223,2265,2302,2348,2377,2410,2456,2495,2553,2600,2639,2679,2734,2781,2834,2883,2930,2993,3050,3113,3176,3243,3295,3360,3410,3481,3534,3606,3669,3731,3799,3879,3959,4033,4109,4163,4245,4322,4415,4514,4595,4693,4792,4858,4961,5055,5159,5252,5343,5444,5530,5603,5697,5813,5914,6009,6118,6216,6305,6401,6489,6583,6680,6802,6905,6989,7078,7170,7271,7367,7496,7586,7704,7808,7915,8033,8160,8286,8401,8542,8669,8797,8924,9058,9212,9349,9490,9643,9796,9938,10085,10253,10405,10572,10765,10934,11128,11338,11553,11749,11942,12137,12333,12528,12752,12978,13208,13467,13743,14006,14237,14464,14685,14960,15234,15488,15751,16009,16278,16547,16807,17086,17352,17655,17937,18236,18554,18855,19147,19452,19765,20090,20386,20690,21004,21326,21672,22010,22357,22707,23090,23421,23770,24132,24521,24870,25232,25601,25968,26353,26723,27104,27494,27901,28288,28702,29111,29524,29935,30374,30801,31232,31651,32090,32537,32998,33455,33932,34380,34871,35360,35863,36359,36842,37339,37889,38403,38981,39521,40062,40616,41189,41816,42418,43042,43640,44319,44996,45666,46395,47096,47829,48533,49329,50099,50857,51609,52389,53126,53939,54710,55455,56247,57020,57802,58621,59396,60206,60959,61862,62709,63550,64428,65280,66171,67030,67875,68813,69716,70692,71613,72622,73583,74584,75554,76550,77592,78614,79671,80712,81821,82857,83983,85118,86218,87421,88613,89780,91015,92221,93456,94678,96030,97351,98673,100024,101410,102795,104273,105728,107178,108615,110101,111690,113234,114932,116510,118154,119822,121451,123162,124880,126624,128331,130054,131851,133612,135460,137270,139132,141056,142991,144914,146875,148801,150784,152806,154709,156611,158622,160650,162600,164636,166789,168849,170937,173116,175250,177560,179823,182064,184387,186750,189050,191386,193739,196184,198746,201325,203831,206380,209020,211815,214599,217379,220187,223030,225861,228690,231655,234611,237596,240783,243893,246976,250132,253408,256799,260094,263324,266693,270085,273535,276984,280494,284099,287714,291490,295319,299129,303022,306994,310958,314995,319233,323432,327679,331999,336273,340685,345213,349806,354344,359033,363770,368682,373489,378413,383365,388330,393539,398747,404044,409478,414910,420379,426154,431886,437808,443828,450086,456139,462347,468599,475060,481588,488124,494807,501611,508320,515223,522252,529241,536375,543775,551196,558512,565996,573455,581229,588975,596764,604670,612614,620804,628883,637305,645792,654509,663119,671861,680859,690057,699317,708627,718164,727838,737676,747568,757641,767717
1,1,1,1,1,1,1,1,2,5,5,6,8,9,13,13,13,17,23,28,33,41,46,50,54,57,64,72,77,85,99,107,117,124,140,146,149,155,158,167,186,196,201,210,221,234,241,249,261,280,288,304,318,333,345,356,376,398,415,432,444,462,484,507,522,539,557,581,607,631,659,681,701,708,724,739,753,769,781,794,806,832,850,865,877,894,907,919,929,944,952,979,999,1011,1044,1085,1122,1166,1207,1233,1265,1287,1328,1373,1429,1482,1532,1581,1633,1690,1731,1793,1838,1897,1940,1990,2042,2098,2147,2194,2249,2282,2331,2378,2428,2469,2509,2558,2596,2640,2679,2721,2758,2793,2837,2869,2913,2965,3013,3048,3095,3131,3185,3245,3296,3352,3411,3479,3545,3608,3674,3725,3796,3862,3942,4011,4083,4149,4232,4297,4359,4434,4496,4559,4621,4692,4764,4828,4888,4932,5002,5084,5142,5218,5290,5376,5456,5524,5609,5708,5785,5880,5966,6055,6129,6211,6297,6374,6491,6609,6700,6805,6902,7003,7107,7203,7302,7392,7483,7576,7666,7770,7847,7953,8053,8144,8233,8335,8454,8546,8634,8737,8841,8932,9033,9125,9224,9323,9417,9523,9629,9722,9811,9901,10008,10107,10212,10303,10415,10520,10639,10757,10869,10964,11066,11184,11293,11401,11512,11636,11778,11906,12038,12174,12301,12426,12570,12693,12835,12962,13101,13230,13366,13507,13659,13789,13934,14074,14197,14333,14462,14602,14745,14890,15046,15201,15359,15491,15630,15800,15962,16121,16304,16476,16650,16800,17022,17218,17428,17619,17816,18036,18248,18462,18656,18877,19092,19311,19551,19796,20055,20326,20602,20875,21165,21444,21708,21995,22287,22605,22921,23242,23566,23922,24287,24625,24995,25352,25725,26076,26452,26863,27241,27623,28032,28450,28881,29329,29741,30179,30611,31033,31485,31953,32382,32864,33320,33819,34280,34788,35304,35830,36320,36854,37361,37913,38451,39035,39587,40141,40737,41345,41964,42570,43212,43891,44496,45165,45831,46455,47114,47789,48522,49238,50001,50779,51540,52342,53103,53935,54721,55476,56283,57162,57999,58852,59755,60674,61545,62473,63427,64397,65403,66423,67451,68530,69529,70630,71672,72797,73935,75114,76349,77528,78706,79956,81192,82495,83755,85034,86373,87748,89155,90580,91922,93332,94671,96060,97506,98968,100537,102022,103488,105043,106553,108051,109614,111166,112770,114365,116031,117766,119515,121214,122979,124684,126537,128316,130147,132012,133948,135892,137863,139861,141972,144004,146149,148241,150478,152696,154937,157206,159412,161776,164183,166558,168992,171380,173874,176414,178952,181503,184174,186825,189442,192139,194825,197639,200426,203383,206321,209304,212336,215391,218501,221625,224829,228078,231402,234660,237973,241337,244723,248326,251922,255576,259210,262808,266471,270222,273911,277844,281756,285687,289691,293582,297601,301810,305934,310142,314378,318701,323106,327512,332106,336700,341332,346047,350813,355558,360342,365413,370310,375445,380703,385816,391077
1,1,1,2,3,4,4,8,9,9,9,9,9,10,12,15,16,19,24,28,32,33,33,35,37,40,42,46,52,56,60,63,69,75,86,97,106,115,126,140,165,177,196,224,241,267,295,318,340,365,380,404,434,464,495,518,538,571,601,633,662,695,725,772,811,862,913,960,998,1059,1126,1188,1239,1299,1367,1425,1486,1564,1624,1707,1784,1847,1923,1997,2057,2127,2195,2269,2348,2419,2512,2593,2671,2741,2822,2899,2978,3065,3137,3220,3298,3363,3438,3502,3574,3656,3744,3840,3921,3998,4071,4159,4248,4334,4401,4499,4574,4670,4764,4854,4926,5017,5104,5183,5272,5360,5451,5543,5623,5706,5798,5878,5973,6078,6182,6279,6384,6486,6598,6699,6814,6911,7033,7149,7255,7374,7484,7585,7708,7849,7980,8106,8249,8393,8549,8718,8877,9037,9192,9344,9501,9670,9821,9979,10148,10296,10471,10650,10861,11079,11270,11438,11636,11835,12035,12225,12407,12625,12809,12996,13187,13381,13567,13768,13971,14181,14367,14563,14787,14981,15194,15417,15609,15865,16102,16368,16593,16866,17141,17361,17625,17878,18167,18402,18669,18929,19194,19447,19759,20033,20330,20625,20912,21231,21560,21867,22188,22499,22818,23132,23435,23763,24099,24408,24773,25127,25490,25857,26207,26529,26923,27278,27669,28043,28462,28846,29261,29654,30026,30431,30841,31235,31662,32070,32524,32992,33437,33875,34350,34791,35247,35721,36177,36647,37128,37611,38136,38660,39192,39705,40228,40738,41262,41828,42346,42901,43497,44036,44596,45163,45699,46286,46803,47424,48019,48617,49195,49795,50452,51054,51729,52381,53027,53660,54335,54979,55598,56295,57013,57754,58471,59191,59921,60637,61368,62118,62835,63560,64329,65074,65876,66651,67471,68228,69049,69880,70738,71636,72490,73355,74153,75039,75950,76867,77856,78883,79875,80885,81896,82914,84000,85083,86145,87285,88472,89653,90804,92000,93157,94361,95574,96854,98099,99442,100781,102134,103531,104933,106364,107771,109211,110656,112169,113703,115229,116795,118397,120017,121597,123288,124955,126574,128230,129885,131590,133410,135144,136877,138617,140415,142283,144140,145907,147745,149702,151580,153603,155618,157689,159759,161880,163971,165988,168026,170086,172312,174546,176785,178966,181242,183612,185878,188183,190539,192929,195421,197910,200342,202894,205489,208059,210685,213325,216028,218703,221512,224313,227204,230158,233149,236215,239302,242474,245719,248896,252251,255603,258981,262489,265971,269435,272998,276574,280292,284021,287782,291541,295443,299368,303429,307639,311728,315897,320145,324386,328826,333209,337652,342306,346883,351645,356468,361349,366240,371215,376376,381503,386671,391831,397090,402520,408125,413762,419412,425216,431116,436995,442963,448959,454889,461064,467310,473482,479725,486071,492530,499199,505765,512624,519491,526293,533336,540430,547602,554805,562445,569880,577433,585083,592954,600734,608646,616700,624902,633190,641434,649945,658385,667154,675937,684804,693680,702727,711892,721128,730585,740148,749787,759593,769585,779454,789657,800118,810530,821294,832029,843137
1,1,1,2,4,6,6,6,7,8,8,9,13,14,18,23,26,35,43,47,50,56,61,66,71,84,93,102,117,124,131,141,144,153,162,170,179,184,193,204,210,217,224,233,244,257,272,280,298,307,317,330,343,363,381,396,407,425,448,466,481,509,529,560,587,609,627,652,680,721,745,771,806,842,872,898,918,953,994,1034,1071,1114,1148,1196,1237,1279,1324,1376,1429,1483,1525,1554,1603,1647,1707,1768,1842,1889,1951,2008,2069,2132,2203,2259,2321,2381,2441,2503,2578,2653,2713,2776,2840,2913,2993,3063,3119,3212,3295,3386,3466,3546,3633,3712,3777,3866,3950,4025,4107,4183,4253,4324,4417,4507,4586,4669,4740,4811,4892,4970,5046,5126,5204,5297,5377,5464,5528,5604,5679,5766,5862,5925,6014,6098,6183,6258,6324,6403,6489,6575,6652,6746,6835,6923,7021,7116,7221,7327,7456,7548,7676,7796,7913,8051,8165,8286,8390,8524,8652,8787,8945,9078,9238,9367,9520,9664,9841,9989,10154,10315,10478,10678,10877,11088,11304,11538,11762,11986,12200,12441,12674,12917,13163,13404,13672,13950,14188,14430,14689,14984,15262,15546,15807,16065,16343,16625,16912,17224,17514,17803,18086,18392,18702,19003,19320,19638,19953,20275,20617,20973,21311,21632,21941,22304,22704,23059,23428,23821,24191,24549,24941,25350,25752,26130,26519,26955,27380,27786,28192,28627,29047,29487,29933,30425,30865,31286,31771,32195,32677,33123,33626,34064,34573,35102,35573,36081,36529,36972,37503,38001,38505,39074,39629,40192,40728,41268,41849,42461,43046,43700,44289,44917,45551,46183,46859,47553,48248,48933,49651,50390,51113,51835,52597,53319,54084,54892,55689,56558,57339,58139,58978,59836,60683,61543,62391,63249,64130,65026,65969,66865,67762,68753,69683,70648,71527,72469,73425,74357,75335,76309,77291,78364,79348,80367,81380,82369,83400,84473,85509,86594,87668,88729,89818,90900,92076,93295,94480,95615,96835,98089,99341,100538,101848,103152,104536,105912,107262,108676,110092,111522,112912,114302,115810,117296,118876,120441,122108,123751,125384,127026,128777,130502,132273,134050,135873,137737,139603,141553,143509,145452,147568,149591,151761,153851,156052,158308,160605,162927,165262,167569,169952,172465,174908,177345,179887,182525,185122,187771,190477,193277,196082,198822,201653,204434,207375,210250,213216,216216,219318,222462,225566,228600,231739,234992,238230,241703,245075,248522,252004,255473,259005,262589,266211,269875,273654,277443,281401,285194,288986,292778,296747,300767,304872,308935,313046,317154,321415,325711,330020,334408,338801,343225,347691,352152,356838,361462,366183,370944,375958,380972,385860,391064,396419,401567,406751,412130,417624,423190,428747,434513,440293,446096,452031,458103,464173,470267,476524,482895,489369,496043,502738,509582,516458,523500,530702,537857,545197,552636,560029,567669,575453,583337,591241,599260,607486,615726,624214,632659,641312,650022,658797,667690,676695,685765,694928,704200,713669,723265,733123,742838,752768,762606,772576,782858,793182,803700,814360
1,1,1,4,6,8,12,13,16,19,21,24,26,32,37,40,47,52,58,67,77,87,90,104,112,124,139,148,165,184,199,214,220,239,256,270,289,302,322,348,370,387,408,434,455,475,501,526,554,580,600,622,639,659,678,697,717,735,760,791,810,831,847,865,887,916,937,967,983,1004,1031,1062,1082,1106,1127,1144,1164,1192,1219,1243,1270,1299,1324,1351,1376,1402,1429,1456,1484,1510,1542,1569,1598,1624,1656,1691,1726,1759,1790,1823,1861,1897,1928,1970,2013,2053,2088,2124,2163,2201,2249,2296,2344,2400,2461,2526,2580,2634,2691,2768,2828,2897,2973,3027,3093,3163,3234,3313,3375,3457,3525,3591,3654,3745,3829,3902,3998,4066,4126,4202,4291,4368,4449,4544,4648,4740,4823,4907,5010,5113,5216,5326,5425,5535,5647,5757,5901,6030,6153,6292,6424,6568,6716,6849,6990,7112,7244,7390,7543,7725,7905,8056,8198,8345,8510,8660,8798,8952,9107,9275,9429,9586,9731,9902,10073,10218,10404,10564,10747,10904,11065,11248,11448,11630,11822,12057,12254,12462,12659,12885,13131,13376,13611,13841,14061,14264,14479,14703,14933,15183,15425,15634,15877,16115,16342,16543,16802,17026,17248,17483,17709,17952,18203,18464,18724,18992,19261,19537,19827,20105,20412,20712,21033,21355,21672,22002,22290,22628,22956,23296,23649,23986,24370,24743,25146,25484,25849,26202,26541,26912,27309,27702,28054,28469,28886,29315,29718,30138,30572,31007,31472,31962,32406,32914,33422,33916,34375,34911,35391,35916,36455,37036,37597,38179,38712,39321,39898,40469,41084,41687,42340,43004,43693,44416,45149,45840,46587,47304,47978,48686,49457,50205,51001,51821,52589,53357,54180,55004,55811,56646,57462,58338,59228,60105,60967,61820,62734,63643,64593,65522,66485,67433,68469,69492,70491,71476,72512,73575,74600,75705,76842,77970,79139,80298,81486,82684,83908,85100,86321,87621,88805,90010,91327,92652,93954,95302,96711,98142,99504,100897,102279,103659,105097,106575,108091,109536,110949,112374,113956,115551,117109,118618,120281,121870,123536,125199,126828,128548,130258,131982,133793,135539,137264,139005,140824,142743,144635,146513,148563,150482,152473,154486,156541,158556,160672,162861,165012,167206,169400,171654,173928,176269,178565,181045,183430,185941,188395,190932,193511,196124,198712,201410,204168,206989,209803,212687,215547,218411,221324,224325,227334,230353,233527,236746,239840,243100,246373,249701,253005,256487,259992,263563,267214,270982,274745,278514,282357,286254,290263,294235,298306,302465,306544,310749,314882,319183,323552,327922,332393,336996,341570,346195,350960,355572,360391,365313,370223,375146,380319,385427,390677,395922,401209,406653,412071,417784,423505,429248,435125,441238,447238,453411,459503,465761,472186,478539,485078,491694,498443,504999,511738,518597,525578,532636,539753,546966,554151,561334,568687,576097,583493,591052,598905,606721,614567,622686,630771,639019,647435,655708,664397,673076,681916,690660,699643,708560,717696,727038,736442,745767,755380,765020,774849,784777,795084,805223,815765
1,1,1,1,1,3,4,6,10,13,20,24,32,39,43,55,60,63,77,89,100,109,125,139,155,169,187,208,229,241,261,278,297,313,338,356,376,395,425,450,477,501,524,541,560,584,608,635,665,688,718,742,762,803,827,861,894,918,947,976,1006,1040,1091,1126,1170,1209,1255,1306,1353,1423,1489,1536,1597,1667,1731,1792,1851,1887,1959,2022,2083,2161,2233,2302,2371,2453,2514,2587,2655,2729,2811,2890,2953,3028,3110,3183,3261,3335,3407,3490,3590,3676,3751,3815,3891,3961,4055,4141,4220,4313,4395,4486,4565,4629,4697,4789,4883,4973,5063,5166,5243,5332,5411,5502,5595,5687,5786,5877,5993,6108,6233,6345,6467,6575,6701,6819,6938,7041,7169,7287,7405,7535,7666,7780,7890,7993,8085,8192,8279,8389,8494,8620,8738,8849,8961,9065,9170,9277,9378,9477,9588,9699,9797,9922,10044,10159,10252,10357,10502,10596,10721,10867,11005,11138,11277,11402,11534,11676,11830,11952,12082,12233,12380,12527,12671,12834,12986,13135,13275,13444,13614,13760,13901,14047,14179,14335,14493,14648,14780,14962,15113,15292,15445,15624,15771,15950,16128,16294,16474,16659,16842,17033,17248,17441,17668,17876,18105,18330,18555,18813,19064,19326,19604,19886,20152,20434,20696,20980,21249,21511,21804,22102,22420,22743,23051,23326,23630,23915,24212,24501,24774,25107,25410,25708,25997,26305,26608,26962,27289,27612,27939,28250,28576,28935,29248,29618,30008,30356,30731,31129,31535,31921,32338,32714,33120,33516,33939,34386,34844,35303,35771,36237,36712,37188,37680,38192,38629,39130,39659,40172,40686,41194,41712,42248,42771,43325,43879,44435,44998,45543,46165,46741,47331,47969,48601,49261,49915,50503,51286,51976,52701,53463,54217,54950,55712,56492,57332,58186,59028,59888,60723,61646,62591,63569,64564,65546,66473,67494,68450,69438,70498,71561,72643,73773,74936,76033,77216,78370,79562,80690,81864,82995,84203,85392,86662,87945,89165,90474,91762,93072,94428,95664,96986,98451,99925,101291,102700,104075,105515,106999,108547,110102,111675,113092,114694,116217,117852,119507,121118,122694,124323,126132,127888,129615,131452,133305,135125,137018,138963,140943,142908,144913,146902,148879,151023,153079,155263,157400,159455,161673,163872,166167,168474,170791,173175,175585,177900,180286,182710,185242,187736,190319,192967,195606,198421,201273,204203,207146,210117,213175,216307,219308,222501,225746,229013,232326,235755,239168,242691,246200,249778,253275,256834,260422,263977,267740,271365,275189,279119,283067,287034,290927,294940,298990,303058,307323,311424,315650,319828,324288,328738,333222,337841,342297,346886,351525,356259,361018,365789,370658,375622,380706,385749,390878,396110,401380,406691,412017,417400,423006,428687,434440,440203,445993,451878,457793,463738,469747,475948,482227,488620,494916,501397,507954,514466,521199,527950,534850,541790,548705,555671,562833,569916,577044,584301,591640,599145,606777,614491,622304,630164,637997,645791,654121,662379,670791,679197,687657,696259,705047,714072,723086,732271,741599,750842,760275,769810
1,1,1,1,3,3,3,4,6,8,10,11,12,14,14,16,18,22,24,28,31,33,34,37,38,40,40,42,45,51,54,60,67,78,83,87,100,105,116,120,131,141,148,153,163,168,174,180,191,198,210,224,232,235,251,265,275,285,297,311,334,350,357,378,401,412,437,456,479,514,531,554,581,616,644,674,707,745,786,822,861,904,934,969,1006,1045,1077,1113,1154,1183,1220,1245,1269,1313,1339,1373,1399,1428,1452,1479,1510,1526,1548,1584,1609,1639,1679,1708,1742,1783,1810,1833,1856,1880,1900,1932,1966,1990,2023,2058,2087,2123,2149,2180,2215,2249,2280,2303,2333,2370,2398,2428,2460,2488,2512,2557,2587,2619,2651,2696,2725,2757,2794,2830,2870,2901,2937,2969,3004,3028,3058,3097,3136,3173,3217,3259,3295,3336,3372,3425,3483,3544,3611,3680,3725,3792,3835,3909,3966,4030,4084,4154,4205,4274,4358,4437,4515,4592,4674,4775,4859,4934,5008,5112,5204,5303,5396,5517,5636,5736,5854,5966,6074,6188,6291,6424,6559,6681,6798,6929,7048,7174,7308,7434,7566,7705,7855,8033,8181,8341,8497,8660,8814,8984,9171,9336,9495,9647,9844,10019,10204,10402,10596,10800,11003,11170,11361,11588,11819,12013,12252,12492,12732,12976,13214,13438,13678,13971,14219,14436,14685,14950,15192,15494,15777,16067,16328,16618,16921,17211,17494,17807,18109,18409,18719,19019,19315,19643,19943,20262,20588,20942,21308,21683,22050,22415,22796,23183,23543,23940,24324,24738,25135,25529,25934,26338,26712,27123,27554,28015,28445,28894,29347,29842,30340,30826,31326,31871,32384,32907,33521,34074,34614,35189,35836,36478,37133,37830,38471,39140,39880,40610,41387,42144,42951,43743,44564,45413,46215,47091,47960,48807,49631,50548,51469,52470,53457,54422,55430,56403,57357,58379,59440,60448,61614,62731,63881,65040,66277,67510,68728,70048,71415,72755,74130,75532,76949,78333,79790,81323,82866,84518,86126,87792,89407,91093,92751,94427,96199,97958,99682,101404,103219,105049,106950,108810,110707,112600,114515,116480,118352,120372,122350,124330,126416,128475,130636,132796,135017,137245,139543,141914,144286,146674,149109,151623,154058,156657,159165,161786,164443,167058,169855,172682,175609,178556,181437,184367,187410,190602,193718,196916,200226,203537,206883,210196,213658,217189,220742,224404,228103,231961,235854,239797,243678,247648,251823,255960,260088,264318,268547,272838,277127,281579,286237,290892,295526,300116,304968,309654,314436,319421,324400,329352,334439,339645,344810,350183,355431,360754,366240,371756,377310,383071,388705,394426,400100,405976,411773,417918,423973,430166,436459,442890,449362,455893,462703,469248,475793,482532,489387,496386,503433,510565,517929,525283,532785,540280,547900,555641,563338,571138,579062,587075,595255,603446,611693,619876,628216,636744,645510,654284,663163,672306,681423,690684,699870,709321,718951,728505,738271,748168,758300,768421,778963,789484,800220,811017,821964,833004,844097,855473,867016,878693,890449,902200,914096
1,1,1,1,1,3,5,6,7,7,10,16,17,20,24,30,37,40,51,58,67,79,84,93,110,119,125,135,150,157,168,181,192,207,221,233,242,259,284,302,313,325,343,366,384,393,408,426,437,459,486,509,531,548,567,589,613,635,661,678,697,727,749,787,812,840,872,900,931,967,1005,1037,1069,1101,1126,1149,1183,1224,1247,1277,1321,1369,1399,1436,1467,1490,1519,1559,1607,1643,1688,1726,1751,1800,1845,1887,1935,1977,2023,2066,2108,2153,2196,2252,2299,2335,2379,2426,2474,2518,2557,2603,2647,2690,2738,2774,2818,2859,2894,2929,2964,3012,3052,3095,3138,3179,3222,3261,3314,3363,3409,3453,3517,3574,3626,3697,3741,3794,3867,3968,4053,4139,4225,4340,4446,4551,4657,4761,4899,4991,5104,5219,5360,5506,5659,5795,5924,6070,6234,6373,6514,6696,6846,7008,7163,7327,7508,7675,7857,8029,8182,8321,8473,8614,8762,8901,9055,9193,9343,9493,9647,9794,9968,10107,10264,10406,10580,10740,10919,11068,11248,11416,11567,11720,11909,12076,12243,12424,12595,12778,12951,13114,13295,13475,13661,13864,14062,14222,14386,14570,14766,14949,15132,15350,15560,15748,15930,16124,16365,16576,16781,17041,17266,17459,17683,17922,18137,18367,18579,18806,19050,19296,19581,19831,20094,20327,20565,20824,21072,21376,21684,21948,22228,22509,22810,23140,23439,23734,24079,24429,24803,25127,25459,25788,26138,26477,26807,27178,27528,27898,28259,28654,29046,29449,29833,30194,30605,30979,31396,31805,32173,32574,33003,33475,33911,34366,34815,35232,35681,36143,36618,37121,37624,38151,38694,39257,39823,40358,40967,41559,42144,42743,43376,43944,44652,45287,45937,46564,47257,47897,48586,49314,49981,50715,51423,52176,52921,53676,54417,55235,56070,56854,57647,58449,59259,60079,60891,61664,62495,63334,64269,65170,66110,66995,67939,68872,69813,70757,71731,72721,73726,74720,75701,76671,77692,78730,79739,80867,81942,83079,84238,85394,86603,87724,88940,90225,91410,92722,94006,95343,96621,98016,99372,100767,102136,103578,104999,106387,107816,109313,110844,112435,113983,115621,117137,118655,120338,122051,123724,125476,127242,129026,130864,132806,134756,136679,138640,140683,142651,144645,146674,148774,150895,153144,155337,157574,159844,162100,164460,166856,169168,171577,174105,176502,179029,181531,184007,186499,189073,191706,194384,197021,199685,202312,205026,207961,210830,213631,216397,219178,222045,224928,227908,230942,233907,236919,239953,242973,246171,249240,252447,255778,259089,262377,265743,269211,272712,276230,279798,283347,287042,290751,294442,298281,302226,306172,310164,314278,318549,322702,326895,331223,335575,340016,344412,348981,353501,358232,363015,367858,372705,377633,382641,387682,392757,397925,403160,408576,413996,419425,424969,430436,435911,441532,447163,452867,458697,464617,470578,476526,482500,488663,494867,501326,507629,513926,520324,526694,533228,539849,546527,553566,560372,567313,574534,581742,589123,596400,603789,611284,618869,626652,634520,642359,650466,658564,666779
1,1,2,5,6,9,9,10,11,11,13,13,13,17,19,22,26,28,32,36,43,44,49,55,67,73,77,88,97,106,115,124,131,139,149,158,161,169,177,190,203,205,211,221,232,245,254,265,272,279,294,302,315,329,336,350,364,374,383,389,401,413,432,438,451,461,468,485,500,511,522,536,555,564,579,599,618,636,652,668,684,707,731,749,777,789,805,831,866,890,918,935,960,989,1017,1045,1077,1108,1136,1170,1208,1241,1269,1294,1324,1357,1383,1417,1463,1497,1539,1568,1600,1634,1672,1721,1762,1795,1843,1890,1937,1990,2030,2072,2124,2195,2244,2307,2366,2425,2475,2517,2580,2661,2724,2810,2888,2972,3048,3113,3193,3265,3344,3435,3522,3611,3696,3761,3846,3947,4039,4117,4211,4304,4396,4493,4593,4688,4795,4906,5004,5120,5256,5400,5527,5653,5783,5928,6077,6216,6349,6485,6632,6767,6899,7045,7187,7332,7487,7648,7803,7950,8133,8289,8466,8643,8828,9054,9246,9479,9714,9965,10158,10393,10600,10815,11064,11304,11598,11873,12137,12412,12702,12992,13296,13585,13909,14218,14571,14870,15214,15564,15917,16263,16657,17068,17449,17827,18231,18657,19039,19471,19924,20329,20741,21154,21582,22008,22444,22906,23400,23875,24343,24813,25320,25838,26355,26873,27402,27926,28488,29060,29607,30168,30732,31302,31884,32501,33110,33717,34340,34976,35615,36247,36871,37482,38148,38748,39390,40031,40702,41372,42051,42754,43492,44231,44903,45575,46275,47081,47863,48667,49501,50317,51136,52000,52868,53771,54659,55561,56540,57505,58470,59494,60506,61531,62580,63654,64799,65854,66997,68205,69429,70604,71828,73039,74288,75611,76898,78197,79533,81004,82368,83851,85340,86813,88198,89656,91095,92570,94003,95481,97020,98512,100094,101647,103224,104788,106373,108032,109780,111495,113217,115055,116839,118571,120386,122105,123990,125865,127771,129763,131767,133721,135811,137898,140079,142273,144598,146867,149158,151428,153833,156302,158781,161239,163832,166458,169040,171568,174294,176993,179739,182482,185323,188233,191074,194129,197219,200150,203048,206049,208978,212011,215084,218206,221414,224688,227977,231348,234844,238228,241605,245021,248540,252181,255811,259584,263285,267127,271128,275103,279169,283233,287332,291552,295845,300239,304666,309238,313712,318353,323009,327539,332263,337033,341833,346723,351570,356466,361223,366250,371162,376363,381573,386839,392068,397344,402898,408213,413869,419384,424940,430650,436540,442419,448410,454470,460712,467044,473367,479905,486467,493152,499838,506695,513665,520694,527872,535045,542429,549826,557348,564844,572478,580086,587822,595728,603578,611648,619694,627894,636195,644531,652971,661480,669987,678716,687350,696292,705270,714538,723873,733279,742787,752411,762169,772116,782089,792364,802624,813325,823720,834518,845066,855949,866897,877866,889175,900256,911812,923535,935373,947102,959351,971450,983957,996449,1009207,1021994,1035072,1048381,1061799,1075387,1089113,1103268,1117339,1131599,1145929,1160721,1175501,1190665,1205927,1221337,1237155,1253175,1269112
1,1,1,1,1,1,1,1,4,4,8,11,11,13,14,14,14,16,17,18,23,24,26,31,39,42,46,55,62,75,82,93,104,111,116,117,126,133,145,149,155,168,175,184,192,200,206,216,226,234,236,239,244,246,255,258,267,273,275,278,285,288,293,298,301,310,315,321,326,336,342,352,360,374,384,394,415,429,451,459,463,480,494,512,531,551,565,582,603,617,635,652,679,700,730,758,782,819,840,866,892,913,936,956,975,991,1004,1022,1053,1073,1096,1114,1136,1165,1182,1200,1230,1249,1269,1296,1324,1343,1367,1394,1415,1445,1467,1500,1521,1548,1574,1590,1616,1655,1684,1723,1763,1807,1838,1877,1904,1953,2001,2044,2090,2144,2193,2241,2293,2348,2403,2470,2518,2594,2647,2713,2786,2838,2890,2929,2981,3038,3093,3147,3202,3270,3337,3395,3454,3526,3596,3664,3740,3806,3872,3954,4040,4118,4206,4279,4339,4426,4509,4595,4686,4763,4852,4939,5031,5113,5197,5291,5385,5462,5546,5650,5742,5835,5945,6044,6165,6261,6367,6470,6581,6693,6813,6933,7046,7160,7288,7437,7568,7699,7855,8002,8152,8296,8449,8602,8783,8930,9085,9246,9406,9566,9759,9941,10111,10283,10477,10677,10874,11064,11250,11431,11630,11829,12076,12284,12485,12724,12956,13180,13384,13583,13790,14049,14295,14552,14808,15067,15304,15564,15828,16093,16357,16642,16905,17165,17423,17680,17956,18214,18530,18778,19064,19370,19659,19964,20250,20575,20932,21244,21552,21898,22257,22596,22985,23350,23726,24113,24483,24853,25273,25651,26045,26421,26850,27237,27630,28048,28470,28886,29281,29663,30061,30493,30893,31322,31767,32185,32603,33017,33500,33973,34424,34887,35343,35796,36220,36676,37140,37611,38125,38581,39108,39576,40072,40592,41172,41691,42255,42777,43311,43885,44445,45044,45627,46199,46790,47414,48011,48632,49256,49935,50530,51166,51805,52502,53168,53941,54645,55323,56047,56756,57500,58262,59061,59829,60622,61431,62252,63136,63998,64898,65786,66656,67566,68463,69353,70327,71272,72229,73145,74087,75117,76175,77128,78144,79139,80234,81307,82399,83535,84670,85824,87024,88199,89382,90590,91912,93230,94475,95775,97139,98471,99849,101136,102511,103892,105293,106758,108169,109569,111045,112583,114109,115606,117154,118722,120249,121810,123448,125111,126680,128371,130099,131878,133640,135514,137285,139181,141023,142881,144856,146867,148856,150788,152883,154981,157040,159176,161385,163487,165654,167829,170082,172414,174673,176999,179272,181664,184008,186309,188714,191088,193594,195982,198424,200941,203419,205974,208660,211237,213866,216540,219270,222106,224912,227624,230348,233260,236199,239191,242187,245136,248247,251383,254637,257788,261079,264419,267740,271149,274475,277912,281403,285063,288614,292290,295983,299772,303681,307519,311382,315282,319243,323383,327488,331642,335952,340181,344457,348902,353493,358201,362987,367980,372713,377682,382785,387980,393172,398412,403770,409065
1,1,1,1,2,2,4,5,5,6,7,10,12,12,14,15,19,21,26,31,37,41,48,52,63,79,86,95,103,107,116,122,141,148,157,163,167,175,183,190,196,201,210,218,224,228,234,243,249,255,256,263,267,271,275,278,285,289,294,299,304,311,316,329,340,349,360,372,380,395,400,406,418,438,459,482,502,518,539,570,602,634,663,701,733,771,809,854,893,946,988,1035,1090,1126,1182,1242,1298,1358,1425,1488,1540,1594,1650,1703,1752,1820,1898,1956,2022,2095,2164,2223,2280,2356,2433,2489,2558,2621,2706,2777,2832,2903,2986,3046,3107,3162,3230,3302,3363,3435,3516,3600,3665,3733,3812,3888,3971,4081,4177,4270,4373,4483,4590,4687,4817,4918,5031,5148,5271,5391,5536,5676,5800,5955,6111,6267,6453,6631,6814,6973,7127,7292,7484,7670,7831,8014,8213,8374,8550,8733,8937,9108,9329,9548,9799,10041,10278,10512,10763,11015,11305,11568,11819,12071,12295,12588,12850,13133,13386,13662,13939,14219,14489,14785,15060,15333,15617,15930,16221,16525,16864,17206,17531,17879,18252,18580,18936,19323,19720,20174,20575,20980,21443,21828,22252,22663,23105,23522,23969,24419,24812,25258,25666,26120,26540,27006,27509,27999,28475,28958,29508,30043,30586,31186,31790,32408,32998,33537,34189,34838,35453,36117,36778,37477,38143,38822,39488,40194,40849,41584,42321,43079,43886,44663,45456,46227,47027,47861,48705,49487,50308,51188,52020,52860,53795,54757,55659,56574,57533,58456,59427,60356,61337,62307,63314,64330,65319,66424,67421,68450,69572,70659,71747,72847,73966,75065,76135,77306,78457,79661,80814,81958,83195,84430,85669,86978,88279,89639,90927,92185,93471,94822,96147,97500,98938,100326,101803,103224,104703,106203,107657,109262,110830,112329,114058,115648,117344,119042,120772,122453,124169,125963,127819,129714,131564,133437,135404,137314,139350,141380,143384,145405,147442,149461,151534,153595,155729,157844,160050,162135,164385,166539,168885,171170,173503,175841,178263,180567,182972,185511,187928,190439,193089,195689,198354,201044,203887,206689,209566,212474,215429,218435,221388,224535,227610,230891,234173,237580,240987,244345,247755,251372,254908,258484,262157,265808,269467,273199,277091,281006,284933,288909,292989,297077,301142,305472,309598,313939,318407,322815,327454,332125,336907,341610,346513,351470,356611,361834,366971,372374,377672,383173,388702,394301,399875,405580,411337,417273,423419,429546,435704,442038,448471,454842,461472,468095,474752,481667,488650,495518,502655,509876,517243,524690,532127,539736,547368,555196,563183,571058,579124,587238,595525,603930,612345,620745,629459,638287,647167,656375,665621,674854,684334,693931,703594,713375,723381,733533,743724,753946,764348,774892,785632,796357,807384,818361,829477,840837,852027,863390,874788,886478,898279,910369,922508,934663,947092,959601,972286,985130,998108,1011477,1024895,1038324,1051855,1065655,1079619,1093529,1107693,1121797,1136275,1150739,1165528,1180504,1195754,1210908,1226280,1241913,1257690,1273864,1289905,1305888,1322325,1338761,1355531,1372255,1389082
1,1,1,1,2,2,3,5,6,9,9,10,11,13,13,20,25,29,32,35,39,47,52,62,70,82,91,103,114,126,135,147,154,159,174,185,200,214,229,243,251,271,281,296,307,325,344,362,380,394,410,424,442,469,500,522,539,566,582,612,635,662,689,712,739,762,790,816,846,874,898,926,952,972,994,1019,1058,1081,1109,1125,1159,1192,1223,1249,1272,1299,1328,1352,1380,1407,1430,1457,1481,1503,1520,1542,1562,1579,1612,1634,1647,1668,1687,1698,1723,1739,1749,1769,1785,1804,1824,1844,1861,1872,1895,1920,1944,1966,1980,2001,2028,2059,2080,2114,2151,2184,2222,2259,2303,2334,2370,2416,2452,2490,2539,2582,2625,2664,2720,2779,2818,2861,2898,2927,2978,3026,3073,3132,3172,3210,3254,3315,3361,3416,3475,3513,3565,3614,3673,3724,3773,3830,3887,3940,4001,4066,4127,4202,4272,4325,4398,4463,4519,4588,4646,4715,4767,4823,4883,4940,5003,5069,5139,5212,5285,5355,5436,5527,5601,5670,5742,5825,5911,6018,6107,6216,6322,6408,6508,6629,6719,6823,6935,7080,7197,7318,7443,7556,7688,7817,7935,8064,8184,8307,8449,8584,8719,8826,8973,9124,9257,9424,9590,9747,9902,10064,10213,10396,10572,10759,10939,11135,11311,11512,11698,11885,12055,12272,12468,12682,12890,13084,13288,13516,13738,13963,14193,14430,14692,14940,15188,15443,15696,15954,16231,16476,16764,17020,17294,17579,17856,18127,18388,18669,18926,19219,19531,19824,20101,20413,20712,21029,21369,21663,22016,22371,22731,23080,23472,23830,24264,24691,25087,25533,25973,26431,26886,27330,27831,28299,28763,29250,29714,30209,30702,31241,31794,32368,32882,33475,34063,34631,35237,35813,36418,36989,37589,38196,38825,39472,40151,40880,41561,42300,43050,43764,44496,45255,46049,46840,47620,48432,49272,50102,50998,51879,52736,53649,54549,55498,56493,57525,58528,59509,60569,61633,62714,63762,64921,66035,67105,68233,69408,70651,71816,72945,74118,75344,76612,77944,79254,80506,81757,83128,84436,85753,87151,88530,89944,91348,92737,94134,95563,96995,98443,99895,101362,102940,104503,106044,107588,109196,110741,112379,114054,115729,117352,119069,120777,122480,124215,125993,127771,129523,131333,133135,134977,136888,138773,140691,142650,144632,146644,148537,150482,152510,154569,156702,158796,161038,163162,165431,167699,169972,172257,174569,176912,179365,181906,184481,187001,189520,192156,194850,197498,200253,203012,205950,208865,211755,214810,217946,220999,224135,227211,230478,233679,236893,240243,243603,247004,250433,254037,257605,261237,265073,268798,272649,276457,280327,284327,288272,292200,296416,300638,304892,309244,313606,318024,322688,327212,331884,336539,341350,346114,351118,356174,361382,366719,371965,377454,382862,388265,393858,399532,405364,411132,416982,422996,428949,435219,441308,447604,453973,460241,466623,473228,479706,486289,493070,499864,506644,513479,520722,527901,535279,542860,550454,558129,566015,574033,581956,589960,598164,606648,615123,623636
1,1,1,1,3,4,7,13,15,20,22,24,32,39,46,49,62,68,81,90,100,108,118,123,134,145,157,168,180,184,195,215,223,228,241,252,261,269,278,284,286,289,294,302,312,317,319,326,331,341,348,356,367,373,384,390,402,409,419,430,443,455,461,474,488,501,515,526,538,552,567,585,606,621,634,646,670,680,702,721,736,747,763,777,793,815,830,845,861,887,904,920,938,950,970,994,1020,1037,1054,1072,1093,1120,1148,1168,1193,1212,1240,1263,1291,1317,1340,1363,1396,1425,1453,1472,1507,1538,1570,1593,1625,1656,1692,1719,1743,1782,1807,1833,1862,1886,1919,1945,1968,1998,2029,2056,2080,2106,2143,2159,2191,2227,2260,2285,2316,2351,2373,2392,2418,2447,2479,2511,2555,2584,2621,2655,2692,2737,2774,2815,2854,2902,2961,3006,3069,3120,3182,3241,3297,3362,3436,3511,3602,3685,3768,3851,3919,4021,4111,4208,4289,4379,4481,4585,4671,4756,4846,4940,5035,5114,5219,5331,5453,5563,5675,5783,5907,6029,6149,6264,6393,6519,6643,6759,6871,6969,7090,7222,7368,7514,7663,7795,7937,8080,8215,8365,8501,8638,8798,8970,9124,9278,9447,9608,9784,9949,10126,10298,10481,10700,10878,11034,11238,11420,11629,11838,12042,12238,12452,12668,12888,13140,13371,13591,13848,14087,14320,14548,14814,15068,15324,15613,15908,16170,16441,16732,16991,17274,17573,17864,18162,18443,18747,19020,19344,19670,19968,20265,20578,20888,21200,21531,21852,22121,22424,22762,23096,23430,23752,24065,24426,24761,25127,25460,25784,26149,26517,26884,27242,27626,28019,28441,28865,29276,29700,30168,30611,31064,31559,32047,32506,33001,33482,34025,34579,35107,35629,36194,36781,37391,37957,38560,39157,39731,40344,40939,41564,42203,42860,43454,44091,44700,45324,45973,46645,47302,47981,48674,49321,50002,50694,51439,52171,52904,53620,54328,55085,55832,56603,57388,58136,58937,59801,60608,61456,62316,63200,64107,65002,65866,66755,67649,68627,69606,70686,71702,72784,73812,74821,75907,77032,78068,79211,80405,81569,82733,83901,85094,86306,87585,88812,90167,91434,92723,94014,95396,96772,98198,99669,101113,102510,103986,105533,107030,108502,109971,111526,113044,114528,116046,117678,119240,120855,122518,124188,125942,127649,129394,131125,132851,134621,136337,138162,139973,141803,143722,145693,147566,149592,151573,153511,155614,157679,159774,161893,163999,166198,168489,170722,173162,175496,177960,180334,182856,185452,187996,190666,193280,195959,198692,201416,204187,206961,209811,212741,215753,218762,221860,225013,228099,231331,234506,237731,241038,244319,247721,251240,254735,258215,261862,265564,269313,273064,276844,280642,284462,288407,292375,296446,300608,304801,309147,313484,317856,322375,326973,331650,336285,341031,345832,350596,355483,360412,365589,370697,375944,381135,386400,391667,396930,402405,408052,413797,419395,425115,430820,436747,442804,448971,455160,461524,467977,474449,481083,487781,494512,501145
1,1,1,2,3,4,7,12,13,17,19,21,26,30,39,48,54,58,72,83,91,102,106,113,124,129,140,158,177,189,203,212,228,247,265,283,308,326,349,369,398,421,447,468,490,502,527,553,576,602,631,670,700,727,758,799,831,863,903,939,982,1019,1058,1102,1151,1209,1250,1309,1352,1390,1435,1481,1532,1601,1663,1725,1785,1837,1913,1981,2044,2106,2171,2237,2293,2362,2430,2486,2555,2628,2698,2764,2847,2924,2998,3084,3162,3230,3308,3406,3496,3607,3705,3822,3943,4053,4160,4274,4384,4513,4634,4751,4890,5010,5155,5305,5448,5584,5701,5826,5961,6091,6220,6358,6493,6646,6759,6907,7073,7234,7402,7551,7706,7887,8039,8219,8392,8569,8728,8902,9086,9262,9452,9659,9871,10071,10256,10439,10629,10832,11045,11262,11487,11690,11913,12108,12307,12525,12754,12971,13187,13399,13610,13843,14063,14286,14479,14678,14880,15085,15317,15536,15740,15942,16195,16418,16645,16879,17106,17354,17616,17858,18117,18376,18637,18890,19155,19419,19730,20008,20278,20582,20860,21136,21464,21713,22003,22314,22621,22910,23260,23581,23932,24235,24580,24956,25286,25606,25981,26330,26687,27065,27405,27796,28189,28582,28996,29395,29812,30234,30700,31098,31534,31985,32458,32957,33433,33937,34398,34861,35400,35929,36408,36915,37401,37936,38443,38912,39439,39988,40561,41125,41695,42217,42822,43438,43988,44610,45238,45892,46512,47210,47907,48554,49245,49960,50663,51381,52093,52816,53562,54344,55148,55928,56753,57569,58363,59232,60107,61024,61953,62850,63814,64796,65782,66775,67798,68788,69846,70911,71939,73015,74084,75143,76290,77440,78555,79720,80898,82127,83357,84550,85783,87088,88375,89690,91044,92386,93707,95043,96424,97801,99273,100663,102095,103553,105097,106653,108224,109847,111387,113086,114695,116428,118185,119873,121616,123336,125191,127133,128904,130680,132591,134496,136478,138378,140384,142403,144400,146352,148410,150465,152533,154611,156723,158855,161051,163245,165541,167819,170175,172531,174849,177176,179537,181909,184299,186743,189312,191897,194440,197030,199682,202251,204984,207782,210532,213271,216227,219177,222101,225186,228194,231204,234285,237396,240498,243718,247069,250449,253718,257051,260500,264015,267704,271311,274963,278618,282316,286177,290017,293876,297786,301747,305920,310076,314263,318426,322718,327032,331349,335973,340480,345079,349780,354446,359402,364308,369097,373954,378922,384019,389117,394282,399663,404973,410460,415914,421475,427277,432889,438743,444638,450624,456703,462678,468848,475167,481426,487906,494426,501170,507894,514503,521391,528253,535172,542247,549564,556756,564213,571765,579223,586951,594661,602313,610349,618302,626346,634464,642586,650923,659372,667940,676722,685592,694729,703720,713047,722566,732146,741705,751498,761468,771677,781835,792566,803096,813570,824204,835282,846460,857804,869229,880792,892333,903808,915771,927783,939976,952173,964480,977033,989889,1002705,1015637,1028735,1041990,1055513,1069094,1083004,1096893,1110872,1124937,1139334,1153770,1168507,1183220,1198261,1213157,1228367,1243768,1259282,1274871,1290773,1306837,1323235
1,1,1,1,1,1,1,1,1,4,6,7,8,9,11,13,16,17,18,19,19,19,23,28,29,38,43,49,55,59,70,74,85,94,104,115,123,140,148,158,175,189,204,222,238,266,283,306,317,331,337,352,367,388,404,417,438,453,462,483,493,506,528,542,557,564,578,599,612,635,657,678,695,710,726,745,758,776,792,808,820,847,861,879,898,915,933,944,962,977,983,998,1010,1029,1057,1067,1086,1099,1115,1130,1143,1162,1186,1205,1222,1244,1269,1291,1317,1334,1353,1379,1398,1422,1450,1477,1493,1517,1539,1559,1578,1601,1622,1646,1680,1709,1736,1764,1782,1816,1846,1876,1909,1945,1985,2016,2057,2091,2134,2168,2216,2258,2299,2341,2376,2418,2456,2501,2531,2573,2626,2670,2741,2788,2828,2871,2912,2955,2999,3055,3105,3157,3208,3263,3310,3383,3450,3517,3585,3647,3708,3776,3832,3894,3969,4036,4112,4194,4283,4349,4430,4523,4604,4689,4773,4846,4929,5008,5101,5200,5290,5362,5469,5562,5651,5734,5847,5938,6032,6109,6188,6296,6385,6505,6589,6693,6788,6877,6984,7079,7182,7299,7419,7534,7643,7775,7927,8055,8195,8342,8475,8626,8750,8878,9007,9136,9285,9424,9572,9697,9845,9993,10163,10293,10430,10557,10702,10844,11002,11157,11298,11449,11605,11777,11930,12090,12246,12413,12597,12773,12922,13095,13255,13420,13597,13777,13945,14102,14245,14425,14579,14763,14926,15107,15292,15466,15651,15819,15999,16161,16350,16533,16721,16912,17112,17288,17473,17654,17825,18026,18240,18433,18629,18836,19033,19230,19415,19624,19814,20014,20229,20437,20634,20852,21071,21277,21504,21728,21940,22172,22378,22601,22839,23105,23341,23572,23846,24100,24376,24644,24895,25157,25457,25712,26031,26321,26633,26915,27209,27495,27806,28114,28432,28738,29036,29351,29680,29985,30293,30599,30909,31203,31510,31812,32153,32454,32767,33092,33417,33776,34120,34460,34799,35139,35508,35894,36258,36649,37040,37434,37838,38238,38692,39124,39590,40045,40525,41027,41482,41978,42490,42965,43519,44080,44615,45130,45676,46215,46829,47362,47890,48452,49059,49677,50296,50856,51450,52009,52622,53206,53810,54435,55072,55746,56427,57090,57755,58433,59080,59780,60466,61197,61966,62728,63444,64209,64973,65723,66516,67363,68151,68973,69807,70652,71500,72321,73174,74059,74920,75803,76696,77564,78450,79375,80321,81222,82172,83104,84022,85001,85944,86932,87948,88974,90004,90987,92013,93003,94048,95168,96313,97346,98475,99645,100839,102105,103337,104577,105887,107202,108597,109952,111340,112731,114181,115559,117080,118534,120106,121608,123086,124657,126252,127877,129589,131244,132890,134568,136294,138040,139793,141535,143344,145081,146962,148866,150784,152726,154639,156559,158592,160627,162712,164736,166820,168858,171040,173213,175334,177442,179667,181849,184087,186456,188858,191245,193490,195867,198320,200789,203287,205782,208402,211009,213659,216260,218930
1,1,1,1,1,1,1,5,7,7,11,12,13,14,16,17,18,21,21,21,22,27,31,33,38,42,47,48,53,58,63,68,73,80,87,100,109,117,126,137,143,152,163,178,186,198,211,230,246,264,271,290,311,324,346,369,389,404,424,440,462,486,510,531,550,576,601,619,638,652,679,717,746,775,806,835,864,898,931,969,1010,1056,1096,1153,1201,1256,1298,1344,1397,1449,1505,1554,1611,1670,1722,1798,1854,1904,1964,2007,2054,2103,2156,2217,2278,2323,2373,2426,2471,2536,2576,2619,2664,2711,2754,2805,2843,2887,2939,2985,3028,3079,3112,3165,3212,3261,3309,3358,3402,3468,3534,3589,3644,3708,3773,3828,3895,3966,4031,4101,4175,4241,4327,4396,4469,4554,4637,4732,4840,4924,5014,5100,5206,5302,5385,5496,5595,5686,5781,5880,5996,6093,6196,6306,6411,6503,6621,6720,6832,6948,7076,7205,7351,7495,7630,7770,7884,8010,8155,8326,8483,8648,8830,9010,9192,9380,9571,9790,9996,10162,10381,10607,10815,11045,11272,11478,11702,11933,12135,12382,12604,12824,13062,13283,13526,13794,14048,14300,14558,14797,15060,15286,15520,15762,16001,16247,16527,16800,17073,17319,17583,17852,18106,18338,18592,18870,19163,19411,19677,19966,20235,20520,20818,21090,21377,21697,22024,22343,22658,22948,23268,23628,23982,24365,24731,25119,25538,25918,26337,26745,27207,27638,28052,28530,28985,29478,29926,30377,30868,31405,31957,32488,32995,33516,34079,34657,35252,35873,36478,37029,37622,38229,38808,39399,40002,40636,41309,41960,42676,43386,44054,44695,45397,46060,46809,47479,48206,48953,49690,50450,51190,51967,52755,53562,54338,55151,56013,56748,57558,58330,59127,60024,60939,61833,62718,63642,64523,65434,66381,67354,68325,69363,70411,71443,72488,73593,74677,75775,76969,78107,79265,80479,81723,82976,84260,85582,86880,88265,89625,91028,92362,93784,95226,96572,97989,99519,101054,102570,104111,105627,107201,108875,110519,112128,113827,115480,117099,118763,120484,122163,123972,125817,127736,129597,131486,133476,135475,137519,139665,141743,143854,146045,148265,150478,152780,155053,157405,159819,162220,164626,167033,169530,172046,174582,177156,179804,182575,185300,188081,190899,193757,196533,199363,202304,205224,208255,211257,214340,217554,220687,223899,227162,230425,233771,237262,240715,244208,247754,251383,254923,258596,262278,265961,269869,273765,277569,281655,285647,289633,293815,297908,302154,306389,310839,315166,319655,324075,328645,333251,337986,342772,347539,352526,357579,362630,367941,373238,378634,384049,389416,394972,400482,405901,411556,417519,423374,429299,435408,441441,447718,454070,460374,466896,473423,480122,486670,493343,500173,507047,513889,520968,528191,535349,542655,550076,557475,564944,572546,580206,587916,595711,603523,611500,619651,627656,635826,644214,652763,661380,669922,678649,687458,696383,705374,714488,723702,733027,742631,752429,762153,772108,782063,792020,802210,812452,822735,833209,843835,854596,865560,876634,887690,898795,910145,921538,933334,945081
1,1,2,4,4,5,5,6,7,7,7,9,10,13,16,16,16,17,17,18,18,19,20,26,29,31,34,38,42,48,52,57,63,72,81,85,97,107,116,129,141,158,169,174,182,188,195,206,215,235,252,264,286,303,323,344,372,390,413,435,463,482,511,547,576,613,648,692,728,758,802,846,886,930,962,1001,1047,1086,1120,1170,1224,1294,1354,1398,1466,1532,1586,1656,1712,1765,1822,1866,1941,2011,2076,2129,2188,2241,2312,2392,2465,2525,2586,2652,2718,2794,2858,2925,2990,3075,3145,3221,3281,3358,3443,3525,3601,3685,3773,3858,3962,4065,4165,4274,4372,4503,4624,4743,4869,4987,5100,5220,5362,5490,5605,5743,5901,6083,6232,6395,6567,6720,6874,7060,7231,7409,7573,7756,7963,8174,8375,8581,8791,8974,9188,9400,9602,9830,10054,10303,10527,10766,11007,11263,11528,11798,12037,12310,12572,12855,13149,13445,13722,14003,14296,14579,14878,15188,15492,15821,16147,16482,16832,17202,17590,17950,18312,18698,19107,19444,19840,20238,20645,21047,21437,21871,22285,22691,23108,23546,24002,24472,24975,25464,25948,26427,26949,27444,27978,28484,29026,29559,30063,30602,31175,31765,32314,32894,33470,34031,34660,35258,35901,36555,37156,37758,38444,39139,39870,40535,41230,41893,42621,43328,44044,44780,45520,46294,47067,47853,48662,49451,50365,51225,52098,52966,53798,54720,55634,56595,57518,58413,59359,60405,61424,62386,63441,64499,65562,66707,67873,69075,70297,71474,72781,74001,75243,76487,77768,79086,80439,81863,83315,84748,86180,87647,89105,90565,92044,93544,95053,96690,98315,99984,101616,103272,104840,106510,108206,109919,111616,113362,115113,116860,118665,120439,122400,124344,126163,128034,130066,132033,134022,136066,138121,140289,142514,144662,146886,149124,151551,153840,156257,158586,160966,163395,165898,168388,170956,173636,176332,179025,181800,184715,187594,190486,193433,196364,199328,202386,205464,208598,211830,215114,218358,221694,225181,228517,231966,235476,239019,242543,246165,249869,253620,257366,261246,265120,269039,272959,277059,281179,285172,289195,293338,297564,301844,306305,310872,315402,319896,324550,329192,334071,338869,343852,348849,353910,358954,364211,369454,374835,380305,385681,391254,397045,402758,408625,414548,420492,426610,432739,438803,444938,451238,457687,464217,470849,477521,484105,490661,497554,504457,511435,518600,525650,532745,540169,547473,554825,562319,570075,577807,585722,593605,601771,609965,618197,626730,635087,643744,652401,661086,669813,678847,688039,697439,706815,716476,726427,736381,746569,756631,766492,776769,786916,797381,807920,818543,829289,840359,851492,862586,873698,885169,896411,908405,920223,932119,944397,956654,969136,981628,994335,1007214,1019990,1033319,1046579,1060056,1073622,1087312,1101616,1115587,1129887,1144286,1158966,1173598,1188477,1203663,1218864,1234148,1249898,1265751,1281758,1297889,1314283,1330743,1347399,1364459,1381538,1398744,1416002,1433745,1451754,1469625,1487704,1506005,1524464,1543099,1562167,1581213,1600787,1620243,1639991,1659960,1680233,1700751,1721274,1741869,1762876,1784111,1805629,1826983,1848301,1870023,1892104,1914343
1,1,1,1,2,3,5,6,7,7,7,7,7,7,10,12,13,15,19,20,21,23,23,23,25,27,29,34,41,44,50,56,65,71,82,91,98,110,119,127,141,152,159,166,174,185,198,206,212,220,226,238,241,248,261,264,271,274,282,287,298,307,318,329,339,351,364,374,380,390,398,407,417,432,450,463,475,488,499,518,530,551,573,596,612,637,662,683,695,719,742,777,796,814,840,864,884,905,928,965,992,1017,1039,1065,1083,1103,1136,1161,1192,1218,1249,1284,1325,1355,1398,1429,1476,1524,1559,1610,1655,1708,1756,1805,1856,1903,1958,2020,2075,2127,2195,2249,2316,2375,2429,2490,2555,2596,2657,2718,2783,2838,2901,2952,3017,3081,3142,3211,3266,3336,3397,3458,3539,3611,3682,3759,3836,3916,3988,4063,4145,4235,4313,4383,4452,4525,4612,4697,4760,4831,4927,5007,5104,5184,5284,5378,5465,5537,5623,5730,5833,5959,6058,6195,6291,6407,6543,6646,6772,6908,7058,7191,7336,7474,7637,7785,7951,8119,8282,8443,8628,8832,9019,9202,9354,9520,9720,9929,10149,10367,10584,10831,11036,11263,11475,11684,11914,12123,12363,12588,12813,13036,13283,13509,13763,14024,14266,14514,14732,14985,15251,15513,15760,16037,16295,16531,16796,17081,17366,17664,17954,18248,18551,18844,19167,19495,19780,20072,20384,20686,21010,21301,21649,21970,22311,22608,22901,23225,23564,23882,24192,24509,24804,25111,25439,25732,26033,26357,26686,26976,27309,27649,27990,28351,28669,29001,29343,29664,30032,30446,30841,31231,31599,32012,32411,32834,33265,33689,34072,34518,34932,35382,35843,36327,36807,37259,37685,38149,38587,39047,39505,40013,40525,41015,41546,42019,42529,43017,43542,44071,44561,45083,45611,46168,46726,47242,47786,48362,48927,49551,50131,50713,51378,52026,52667,53358,54015,54651,55328,56017,56664,57399,58102,58825,59568,60300,61036,61796,62559,63296,64088,64854,65636,66427,67236,68078,68877,69673,70520,71395,72245,73151,74009,74945,75809,76722,77666,78693,79751,80728,81799,82797,83934,84938,86098,87243,88402,89606,90802,92025,93271,94500,95728,97033,98418,99712,101045,102372,103759,105212,106633,108032,109457,110985,112489,114000,115577,117123,118730,120405,122062,123729,125446,127160,128927,130726,132605,134515,136421,138357,140319,142296,144305,146313,148279,150370,152503,154692,156932,159186,161455,163789,166031,168442,170846,173254,175746,178299,180771,183345,185878,188477,191202,193844,196656,199357,202089,204818,207661,210391,213212,216087,219065,221978,224949,227860,230954,234080,237162,240380,243586,246747,250118,253375,256771,260298,263824,267374,270993,274593,278330,282075,285734,289628,293531,297453,301483,305646,309746,313938,318226,322602,326982,331424,335867,340324,344855,349540,354101,358843,363587,368435,373427,378420,383558,388808,394042,399300,404647,410173,415783,421297,426973,432675,438601,444459,450539,456584,462898,469015,475174,481375,487803,494106,500565,507322,514032
1,1,2,4,4,6,7,9,11,13,16,20,20,26,30,40,51,54,59,63,66,71,76,86,101,105,110,125,130,142,157,164,177,182,194,198,203,209,213,220,231,242,250,258,266,275,284,290,299,312,322,338,347,353,361,372,381,391,396,401,411,418,427,438,444,451,461,467,476,490,504,517,527,537,549,555,566,574,584,590,605,617,626,638,649,657,665,683,707,726,749,767,800,824,854,882,910,932,964,997,1032,1075,1110,1143,1179,1221,1263,1298,1334,1370,1406,1456,1514,1549,1597,1651,1701,1758,1810,1872,1938,1995,2057,2112,2185,2253,2318,2396,2447,2496,2556,2603,2675,2739,2826,2888,2952,3034,3103,3171,3238,3304,3377,3465,3549,3621,3706,3796,3866,3980,4071,4164,4276,4382,4506,4645,4785,4906,5012,5143,5273,5398,5501,5631,5751,5877,6004,6118,6270,6420,6551,6680,6828,6962,7087,7232,7358,7491,7603,7727,7886,8021,8156,8311,8443,8575,8715,8838,8970,9116,9264,9423,9558,9731,9892,10050,10209,10371,10518,10665,10835,11014,11205,11363,11553,11740,11907,12093,12254,12450,12638,12836,13005,13208,13397,13591,13795,14026,14240,14465,14734,14998,15248,15495,15773,16008,16260,16532,16823,17138,17423,17728,18053,18377,18721,19036,19319,19644,19983,20317,20645,21005,21338,21708,22062,22444,22820,23203,23588,23989,24376,24780,25172,25528,25925,26354,26801,27224,27658,28089,28562,29049,29499,29963,30393,30861,31389,31923,32456,33006,33578,34127,34652,35191,35739,36314,36913,37559,38154,38793,39418,40067,40687,41361,42016,42668,43358,44048,44738,45449,46182,46896,47598,48351,49119,49914,50725,51563,52377,53237,54127,54981,55952,56898,57788,58696,59678,60683,61673,62762,63789,64851,65878,66924,68016,69092,70186,71320,72488,73650,74757,75828,77021,78208,79373,80654,81917,83139,84419,85730,87004,88331,89613,90877,92205,93606,94958,96348,97750,99156,100536,101967,103430,104896,106417,107970,109507,111053,112577,114195,115767,117361,118973,120571,122349,124043,125766,127559,129219,131025,132837,134637,136501,138349,140178,142086,143950,145817,147725,149716,151698,153735,155747,157743,159772,161923,164053,166182,168318,170558,172715,174939,177222,179459,181756,184185,186559,188921,191300,193712,196198,198723,201223,203749,206369,209139,211803,214605,217415,220178,223050,225909,228794,231750,234748,237690,240689,243741,246918,250158,253317,256557,259782,263095,266388,269644,273026,276357,279778,283285,286842,290430,293998,297566,301286,305021,308768,312566,316470,320375,324375,328463,332586,336816,341045,345347,349744,354058,358575,363001,367588,372200,376869,381617,386375,391152,396130,401166,406278,411398,416495,421746,427061,432460,437887,443276,448954,454465,460293,466068,471778,477609,483510,489636,495791,502021,508396,514720,521156,527510,533845,540320,546780,553516,560219,567212,574034,581081,588025,595142,602386,609466,616864,624211,631690,639192,646724,654517,662439,670372,678322,686218,694543,702731,710986,719490,728118
1,1,1,3,4,4,5,5,5,7,8,15,22,29,35,40,47,55,60,70,79,91,100,109,116,125,134,151,158,168,176,183,188,198,207,218,229,235,242,251,258,264,275,282,287,297,307,324,332,341,354,368,376,389,401,423,440,458,474,497,521,541,568,591,615,640,677,709,735,773,802,849,889,941,990,1039,1089,1138,1189,1229,1287,1346,1413,1486,1558,1610,1658,1729,1804,1872,1930,2018,2091,2176,2241,2310,2423,2500,2598,2709,2796,2890,2996,3105,3201,3287,3358,3465,3567,3656,3765,3839,3958,4054,4149,4239,4322,4400,4513,4633,4724,4819,4917,5031,5131,5232,5341,5445,5545,5667,5778,5894,5995,6103,6216,6329,6420,6526,6647,6749,6852,6959,7104,7198,7298,7410,7520,7611,7729,7829,7949,8061,8175,8290,8402,8531,8639,8746,8890,9001,9123,9233,9353,9469,9602,9742,9867,10011,10176,10336,10484,10629,10772,10933,11106,11243,11405,11559,11763,12006,12219,12400,12627,12859,13097,13343,13571,13811,14056,14324,14585,14842,15109,15383,15642,15931,16231,16508,16776,17046,17354,17660,17982,18296,18626,18968,19316,19642,20005,20353,20720,21076,21415,21753,22110,22445,22790,23167,23556,23926,24262,24678,25099,25496,25881,26284,26684,27130,27558,28024,28417,28861,29294,29739,30164,30634,31107,31605,32097,32615,33107,33590,34078,34611,35122,35677,36280,36834,37440,38059,38678,39326,39930,40581,41241,41934,42642,43366,44124,44896,45656,46398,47225,48010,48815,49627,50496,51331,52203,53092,53958,54845,55795,56677,57608,58504,59430,60422,61362,62339,63373,64409,65401,66489,67530,68612,69688,70754,71932,73008,74110,75272,76466,77628,78766,79913,81081,82338,83576,84779,86000,87328,88653,89872,91139,92426,93753,95092,96500,97905,99264,100769,102280,103701,105147,106693,108195,109702,111224,112723,114298,115979,117644,119360,121054,122766,124513,126330,128173,129921,131704,133585,135467,137355,139324,141192,143227,145166,147240,149326,151383,153555,155707,157932,160100,162384,164640,166958,169221,171575,174012,176444,178917,181381,183903,186554,189186,191875,194612,197403,200144,203021,205892,208785,211710,214667,217682,220752,223806,226925,230186,233387,236707,240009,243465,246817,250340,253915,257603,261320,264979,268773,272598,276541,280551,284552,288633,292820,296952,301263,305760,310184,314614,319120,323623,328324,333027,337710,342417,347237,352223,357228,362221,367352,372478,377624,382874,388230,393546,398981,404581,410186,415919,421530,427467,433353,439342,445416,451731,457964,464011,470503,477001,483578,490303,497302,504099,511049,518277,525473,532749,540218,547528,555054,562619,570521,578377,586227,594123,602248,610441,618765,627034,635416,644077,652616,661307,670202,679249,688286,697438,706628,716083,725628,735246,745094,754992,765073,775093,785343,795759,806205,816867,827729,838486,849535,860770,871903,882976,894238,905859,917518,929299,941185,952881,965005,977113,989521,1002012,1014691,1027410,1040415,1053384,1066369,1079558,1092966,1106222,1119948,1133802,1147750,1161632,1175757,1190170,1204827,1219567,1234441,1249571
1,1,1,1,1,2,5,7,8,8,8,8,11,13,15,16,20,26,30,33,40,46,51,60,63,69,78,89,97,108,116,123,129,133,143,158,169,180,190,202,213,222,231,241,248,255,263,275,286,297,307,318,339,360,373,389,404,433,455,474,499,519,542,568,590,619,643,669,698,726,753,776,805,833,866,888,908,940,959,985,1019,1047,1091,1121,1156,1188,1222,1253,1289,1325,1354,1386,1426,1460,1505,1545,1589,1617,1650,1697,1739,1787,1840,1880,1921,1965,2024,2083,2142,2198,2247,2326,2399,2465,2546,2617,2685,2774,2853,2935,3022,3117,3203,3291,3368,3467,3574,3684,3778,3897,4006,4129,4243,4349,4462,4585,4727,4857,4987,5102,5228,5363,5495,5658,5806,5945,6083,6204,6354,6501,6641,6826,6970,7111,7260,7421,7575,7733,7887,8047,8214,8381,8524,8683,8859,9027,9231,9435,9643,9863,10048,10271,10462,10672,10863,11083,11317,11525,11745,11944,12189,12432,12659,12947,13197,13461,13713,13945,14222,14492,14763,15028,15340,15633,15939,16253,16565,16892,17229,17534,17864,18225,18576,18959,19316,19677,20046,20440,20829,21211,21560,21945,22350,22760,23124,23536,23938,24365,24781,25210,25623,26078,26532,26981,27420,27830,28277,28736,29200,29670,30144,30625,31116,31614,32079,32571,33138,33671,34228,34792,35347,35929,36510,37119,37753,38367,39002,39698,40338,41030,41731,42451,43137,43838,44552,45340,46093,46885,47681,48442,49231,50045,50961,51893,52786,53765,54662,55592,56563,57548,58550,59606,60581,61684,62707,63738,64840,65922,67038,68200,69392,70578,71808,73046,74308,75545,76841,78105,79382,80642,81890,83241,84647,85988,87406,88759,90160,91655,93084,94630,96162,97658,99191,100825,102353,103993,105609,107197,108853,110588,112229,114039,115780,117523,119306,121123,122916,124707,126606,128496,130424,132406,134375,136374,138410,140514,142671,144876,147022,149161,151362,153555,155843,158106,160346,162651,165062,167431,169880,172282,174759,177265,179761,182298,184777,187382,190097,192788,195474,198239,201082,203926,206674,209592,212382,215311,218344,221402,224404,227556,230684,233729,236907,240052,243330,246577,249881,253285,256814,260347,263931,267563,271159,274687,278463,282375,286190,290053,293994,298075,302190,306317,310550,314860,319191,323619,328029,332512,337190,341793,346482,351289,356197,361210,366172,371284,376541,381646,386979,392440,397829,403315,409015,414796,420625,426502,432512,438500,444533,450704,456850,463164,469563,475939,482598,489159,495944,502728,509543,516259,523201,530230,537338,544470,551620,558911,566294,573844,581348,589187,596947,604810,612829,620972,628996,637183,645364,653918,662488,671248,680045,688848,697936,707158,716318,725898,735511,745219,755010,764889,774870,784978,795298,805694,816168,826980,837770,848818,859988,871226,882620,894187,905859,917418,929283,941107,953134,965326,977747,990179,1002498,1015096,1027838,1040473,1053454,1066543,1079901,1093284,1106791,1120479,1134456,1148706,1162815,1177292,1191915,1206672,1221827,1237205,1252183,1267779,1283361,1299160,1315295,1331655,1348164,1364788,1381557
1,1,1,1,1,2,3,4,5,5,5,5,6,7,12,15,18,19,21,24,27,34,42,48,59,72,81,93,106,110,122,133,151,165,184,202,207,220,237,254,267,278,289,309,325,336,353,369,394,409,426,446,466,485,501,519,535,555,572,599,626,655,685,715,735,774,800,828,864,907,943,981,1031,1076,1106,1148,1189,1235,1271,1314,1359,1408,1452,1502,1550,1606,1654,1711,1775,1854,1925,2005,2067,2140,2209,2266,2347,2414,2489,2571,2659,2757,2849,2931,3035,3125,3204,3278,3374,3463,3537,3625,3737,3832,3928,4042,4135,4241,4336,4430,4532,4641,4738,4847,4962,5063,5157,5277,5392,5500,5607,5723,5822,5913,6020,6143,6234,6367,6487,6595,6707,6819,6899,7022,7145,7244,7368,7483,7591,7710,7845,7975,8103,8207,8349,8490,8612,8742,8904,9054,9224,9410,9576,9741,9898,10074,10243,10396,10583,10786,11000,11179,11373,11557,11766,11954,12157,12348,12558,12766,12991,13202,13414,13632,13862,14100,14328,14525,14746,15000,15231,15480,15710,15940,16194,16479,16744,17031,17323,17576,17880,18166,18449,18710,19034,19361,19687,20048,20372,20722,21107,21465,21775,22112,22457,22812,23217,23619,24003,24416,24794,25183,25594,26037,26500,26981,27419,27885,28296,28738,29185,29667,30169,30666,31153,31669,32213,32773,33311,33885,34441,34998,35595,36206,36801,37383,38019,38638,39282,39926,40586,41196,41819,42486,43151,43875,44573,45280,45957,46676,47452,48245,48976,49744,50557,51334,52113,52964,53809,54674,55529,56395,57219,58066,59012,59946,60921,61947,62974,63971,64992,66082,67163,68266,69453,70590,71793,72976,74216,75452,76721,77959,79188,80420,81653,82962,84275,85624,86999,88333,89690,91058,92426,93802,95207,96658,98070,99513,101010,102491,103982,105474,107004,108575,110095,111720,113351,114969,116585,118233,119941,121685,123480,125174,126974,128817,130674,132506,134413,136250,138178,140144,142135,144138,146182,148229,150431,152613,154695,156865,159011,161219,163512,165840,168147,170616,172977,175249,177623,180062,182534,185016,187534,190000,192580,195218,197855,200614,203271,205997,208759,211497,214337,217126,219962,222900,225888,228899,232012,235144,238299,241615,244814,248135,251581,255007,258512,262064,265679,269386,273209,276949,280741,284590,288534,292577,296605,300689,304879,309074,313332,317603,322031,326334,330920,335394,339756,344384,349037,353750,358427,363202,368168,373064,378055,383188,388294,393430,398638,403876,409275,414698,420308,425847,431562,437200,443002,448976,455013,461153,467240,473569,479945,486374,493010,499737,506502,513327,520343,527441,534619,541904,549052,556446,563978,571637,579572,587478,595424,603651,611783,620191,628558,637043,645633,654206,663042,672241,681320,690561,699998,709479,719114,728796,738874,748810,759243,769499,779864,790649,801150,811805,822552,833706,844756,856139,867640,879005,890580,902403,914102,926241,938521,950932,963294,976026,988799,1001731,1014998,1028053,1041377,1054954,1068710,1082765,1097131,1111457,1125737,1140306,1155144,1170430,1185708,1201054,1216971,1233035,1249254,1265597,1282123
1,1,1,1,1,1,1,2,3,7,7,8,11,12,16,18,22,23,27,35,40,44,50,55,67,73,80,85,96,109,124,135,147,155,174,190,203,214,227,236,250,272,297,319,339,365,382,395,410,432,456,482,497,527,556,580,603,633,664,688,714,743,778,812,846,872,905,940,979,1024,1067,1101,1145,1187,1233,1269,1300,1330,1381,1417,1462,1496,1520,1549,1591,1623,1642,1668,1694,1724,1751,1779,1809,1828,1857,1886,1918,1944,1983,2005,2036,2061,2093,2123,2153,2184,2224,2253,2294,2321,2357,2386,2430,2477,2514,2561,2596,2638,2669,2731,2775,2833,2887,2939,3005,3063,3122,3178,3225,3303,3366,3423,3486,3559,3627,3706,3777,3848,3924,3974,4039,4116,4172,4250,4303,4354,4409,4473,4534,4597,4642,4693,4746,4797,4853,4904,4962,5022,5078,5132,5188,5241,5302,5366,5430,5492,5566,5629,5684,5756,5832,5904,6007,6083,6157,6253,6330,6417,6495,6579,6659,6744,6832,6922,7011,7096,7185,7267,7354,7447,7537,7626,7693,7791,7877,7966,8041,8126,8214,8297,8393,8484,8573,8667,8748,8868,8973,9091,9185,9274,9375,9471,9580,9684,9784,9886,10014,10144,10269,10400,10523,10637,10744,10867,10994,11122,11255,11380,11489,11620,11742,11855,11972,12106,12243,12400,12523,12676,12823,12933,13076,13206,13342,13475,13601,13762,13915,14051,14199,14372,14517,14675,14840,15004,15166,15319,15480,15642,15809,16002,16171,16359,16564,16757,16920,17115,17318,17525,17753,17938,18167,18418,18651,18919,19166,19414,19679,19943,20199,20483,20790,21071,21359,21650,21963,22291,22627,22965,23291,23644,23969,24300,24640,24987,25296,25654,26006,26342,26669,27007,27337,27683,28032,28402,28767,29155,29537,29881,30254,30633,31038,31441,31870,32285,32689,33131,33584,34022,34467,34919,35376,35856,36333,36788,37270,37696,38198,38702,39210,39702,40169,40645,41153,41618,42140,42675,43204,43737,44251,44816,45376,45953,46513,47144,47768,48371,48962,49577,50230,50904,51558,52223,52886,53599,54259,54936,55656,56333,57012,57739,58446,59208,59987,60725,61434,62271,63048,63853,64669,65511,66317,67159,67964,68839,69721,70681,71595,72545,73478,74427,75409,76400,77468,78498,79546,80636,81707,82881,83983,85113,86278,87456,88665,89967,91224,92506,93753,95026,96354,97725,99171,100525,101906,103284,104731,106174,107665,109111,110616,112075,113655,115204,116801,118366,120046,121725,123387,125023,126699,128406,130184,132025,133764,135646,137570,139522,141522,143551,145551,147568,149641,151794,153900,156159,158389,160555,162881,165265,167638,169971,172430,175027,177616,180183,182764,185286,187991,190631,193371,196141,198858,201721,204527,207550,210672,213690,216721,219915,223104,226347,229534,232824,236133,239446,242835,246392,250060,253552,257167,260852,264725,268512,272336,276294,280155,284283,288467,292650,296943,301212,305657,310122,314537,319142,323818,328500,333163,337973,343031,348131,353235,358318,363540,368719,373948,379261,384720
1,1,1,1,2,3,3,3,8,8,13,17,20,25,29,30,38,45,56,67,74,82,90,97,112,127,139,145,163,172,181,192,202,211,217,226,231,237,249,256,264,272,285,292,301,307,314,321,330,340,346,360,368,381,397,413,426,458,480,497,518,536,557,576,600,623,642,665,695,716,758,794,836,871,904,934,972,1000,1026,1054,1102,1143,1178,1221,1254,1295,1323,1367,1404,1442,1483,1529,1571,1615,1656,1701,1745,1793,1843,1893,1955,2008,2069,2126,2195,2259,2331,2400,2451,2532,2592,2667,2754,2836,2909,2994,3054,3139,3215,3301,3385,3469,3562,3632,3725,3818,3942,4032,4145,4250,4363,4470,4593,4697,4801,4906,5006,5097,5197,5303,5405,5519,5638,5763,5890,6009,6125,6242,6379,6501,6625,6732,6856,6982,7112,7230,7369,7510,7662,7823,7966,8116,8267,8407,8585,8714,8878,9034,9183,9344,9509,9700,9891,10059,10251,10444,10652,10856,11063,11274,11456,11639,11835,12043,12255,12476,12698,12944,13179,13423,13668,13906,14173,14424,14696,14946,15222,15494,15783,16078,16338,16605,16910,17199,17523,17834,18159,18482,18786,19111,19425,19749,20105,20450,20794,21139,21485,21854,22241,22624,22974,23360,23732,24132,24540,24933,25340,25716,26121,26531,26971,27422,27850,28339,28778,29252,29704,30155,30619,31114,31555,32060,32554,33057,33541,34023,34512,35002,35478,35977,36476,37002,37560,38064,38571,39107,39635,40175,40695,41282,41844,42460,43057,43664,44306,44976,45636,46291,46992,47696,48390,49069,49819,50525,51291,52033,52770,53521,54373,55165,55919,56681,57480,58284,59073,59877,60758,61575,62462,63368,64212,65148,66135,67047,67977,68998,70013,71028,72024,73047,74107,75224,76358,77487,78624,79741,80898,82089,83246,84489,85639,86887,88126,89353,90590,91824,93110,94416,95777,97172,98432,99827,101259,102604,103999,105405,106888,108408,110005,111505,113087,114617,116253,117920,119604,121281,123078,124837,126661,128539,130448,132379,134245,136175,138103,140141,142176,144352,146419,148541,150674,152819,155136,157400,159663,161987,164252,166671,169104,171561,174007,176575,179111,181652,184234,186928,189617,192282,195070,197905,200656,203566,206579,209476,212449,215439,218508,221546,224764,228114,231350,234700,238049,241463,244929,248493,252081,255707,259507,263140,266923,270851,274741,278627,282665,286882,291071,295365,299707,303992,308281,312763,317300,321816,326454,331209,336011,340956,346003,351027,356144,361454,366791,372179,377693,383222,388880,394771,400597,406474,412557,418565,424790,431079,437282,443783,450193,456959,463718,470396,477387,484223,491221,498108,505168,512408,519568,526973,534386,542027,549546,557187,564909,572929,580794,588914,597037,605215,613446,621935,630464,639191,648019,657082,666205,675396,684726,694110,703715,713515,723453,733466,743633,753950,764416,774971,785803,796633,807684,818804,830063,841392,853054,864741,876496,888727,900805,912868,925261,937706,950388,963101,975999,988763,1001802,1014777,1028180,1041655,1055462,1069245,1083354,1097602,1112090,1126409,1140986,1155819,1170784
1,1,2,3,5,6,10,14,17,21,26,31,43,44,46,52,55,59,68,72,82,92,104,108,117,125,142,146,156,168,179,191,204,214,219,224,228,237,246,253,258,264,271,276,281,285,289,291,297,304,307,310,315,319,320,323,327,330,332,332,335,340,345,351,355,357,360,364,366,372,373,374,379,381,382,386,389,394,396,397,403,405,411,415,417,421,426,432,444,453,465,472,479,497,507,520,530,557,574,590,611,632,657,678,696,718,740,764,790,808,824,847,875,895,912,926,942,963,974,992,1015,1033,1057,1077,1104,1125,1143,1163,1181,1199,1232,1267,1284,1312,1329,1353,1385,1411,1431,1453,1475,1501,1537,1563,1588,1613,1644,1672,1700,1723,1751,1782,1812,1846,1880,1906,1950,1986,2027,2058,2083,2113,2150,2179,2225,2270,2313,2351,2393,2445,2498,2535,2570,2616,2670,2717,2761,2813,2852,2910,2982,3050,3117,3191,3254,3325,3396,3468,3536,3626,3715,3816,3917,4018,4125,4236,4339,4450,4555,4657,4775,4873,4985,5101,5216,5340,5455,5562,5687,5818,5920,6042,6174,6295,6422,6535,6687,6819,6947,7107,7255,7428,7579,7742,7900,8078,8226,8406,8565,8733,8918,9106,9277,9471,9657,9835,10033,10209,10385,10575,10758,10930,11115,11310,11505,11703,11919,12117,12306,12488,12667,12863,13068,13289,13521,13730,13958,14188,14419,14659,14875,15159,15428,15681,15929,16197,16490,16774,17083,17378,17675,18010,18325,18646,18986,19295,19641,19982,20322,20669,21038,21419,21821,22205,22585,22971,23412,23842,24286,24728,25181,25669,26192,26695,27199,27695,28245,28787,29366,29971,30567,31188,31747,32366,32936,33594,34221,34840,35494,36111,36750,37360,37989,38632,39252,39866,40446,41063,41693,42310,42961,43563,44196,44802,45431,46028,46718,47379,48064,48743,49381,50028,50708,51399,52048,52813,53531,54296,55091,55833,56626,57406,58272,59135,60060,60935,61851,62753,63674,64653,65619,66608,67573,68633,69669,70782,71931,73046,74268,75400,76641,77857,79051,80254,81468,82723,84014,85371,86660,87996,89323,90646,91961,93310,94669,96067,97412,98825,100309,101740,103173,104615,106129,107614,109190,110755,112361,113986,115617,117368,119215,120934,122767,124619,126421,128250,130122,132114,134085,136095,138115,140219,142279,144319,146423,148558,150779,152995,155265,157583,159824,162135,164525,166936,169435,171940,174386,176947,179511,182182,184834,187592,190368,193169,195994,198810,201602,204548,207498,210586,213797,216880,219958,223145,226404,229668,232797,235996,239288,242659,246166,249538,252865,256444,260047,263732,267341,270999,274748,278578,282397,286343,290314,294316,298356,302433,306570,310891,315169,319407,323851,328321,332875,337545,342230,346927,351636,356443,361303,366146,371098,376314,381273,386435,391603,396869,402124,407531,413058,418527,424097,429647,435377,441167,446975,452863,458837,464744,470764,476858,483061,489221,495482,501807,508477,514979,521543
1,1,4,6,9,17,23,29,32,34,36,37,44,49,62,68,79,86,97,111,122,135,153,170,176,189,202,208,218,226,233,252,263,272,286,294,304,316,326,341,354,373,392,406,428,444,457,465,492,518,549,578,606,634,665,697,736,771,806,841,872,904,948,990,1038,1081,1124,1173,1214,1273,1336,1393,1435,1487,1536,1590,1641,1682,1746,1803,1873,1935,2004,2096,2170,2239,2311,2386,2471,2566,2658,2748,2834,2930,3031,3123,3218,3311,3421,3544,3655,3790,3893,3999,4130,4250,4352,4489,4612,4758,4910,5062,5192,5342,5459,5632,5796,5946,6110,6254,6433,6614,6770,6936,7104,7274,7468,7674,7859,8058,8258,8476,8684,8879,9063,9259,9432,9627,9838,10043,10243,10444,10644,10881,11119,11328,11562,11771,11978,12190,12408,12643,12858,13082,13315,13553,13776,14017,14268,14501,14728,14974,15244,15489,15754,15988,16226,16461,16693,16943,17174,17410,17658,17875,18115,18376,18631,18896,19181,19451,19698,19987,20235,20497,20774,21021,21306,21596,21860,22172,22498,22822,23139,23458,23796,24141,24452,24792,25144,25515,25856,26221,26545,26887,27288,27674,28019,28415,28817,29168,29553,29931,30327,30745,31164,31557,31983,32422,32847,33285,33700,34133,34562,35036,35542,36001,36457,36936,37416,37918,38383,38870,39365,39871,40389,40984,41568,42093,42655,43230,43867,44436,45032,45689,46285,46912,47543,48155,48814,49433,50039,50690,51377,52063,52761,53430,54077,54747,55445,56163,56874,57610,58373,59120,59826,60605,61347,62126,62981,63896,64742,65583,66434,67298,68252,69101,70023,70991,71914,72836,73747,74727,75762,76744,77787,78781,79812,80943,81957,83091,84202,85247,86374,87496,88686,89911,91065,92250,93468,94775,96175,97502,98844,100161,101497,102860,104321,105804,107208,108732,110190,111729,113180,114688,116209,117774,119351,120923,122561,124179,125817,127509,129216,130848,132557,134231,135976,137772,139541,141372,143204,145030,146944,148921,150899,152858,154898,157011,159087,161200,163305,165433,167709,169947,172182,174455,176776,179095,181523,183884,186403,188854,191323,193852,196447,199085,201683,204325,207024,209752,212540,215297,218042,220963,223934,227046,230141,233199,236226,239479,242777,246113,249428,252869,256491,259934,263506,267114,270820,274552,278218,282071,285916,289897,293876,297941,302023,305990,310092,314243,318595,322928,327239,331722,336276,340991,345661,350271,354959,359947,364820,369891,374896,380041,385127,390296,395497,400799,406067,411549,417126,422811,428419,434218,440087,445925,451943,457926,464065,470142,476428,482643,488889,495157,501731,508189,514793,521590,528370,535226,542162,549195,556360,563618,570835,578108,585464,593176,600910,608612,616441,624316,632259,640411,648779,657122,665658,674181,682795,691626,700562,709628,718665,727885,737270,746658,756120,765834,775363,785264,795081,805297,815510,825636,836169,846779,857391,868224,879114,890255,901495,912802,924329,935940,947929,959813,971662,983858,996189,1008614,1021248,1033959,1046617,1059633,1072907,1086475,1100088,1113682,1127585,1141689,1155770,1170023,1184694,1199416,1214491,1229626,1244946
1,1,1,1,1,3,3,5,8,8,8,9,11,12,12,12,12,12,14,15,16,17,19,21,23,26,30,33,41,43,45,51,58,66,70,81,85,95,100,105,114,120,125,133,137,150,166,186,205,223,233,250,259,279,290,308,328,352,375,404,430,457,490,514,535,567,609,633,664,699,738,779,805,832,873,904,939,978,1017,1052,1094,1131,1167,1201,1243,1291,1331,1372,1409,1436,1479,1518,1564,1602,1645,1677,1708,1755,1807,1852,1892,1922,1970,2017,2054,2096,2139,2184,2219,2260,2295,2344,2396,2432,2472,2510,2557,2606,2644,2682,2728,2774,2826,2892,2934,2977,3030,3071,3122,3173,3229,3279,3328,3383,3429,3476,3541,3591,3670,3724,3785,3853,3930,3986,4050,4102,4166,4225,4294,4370,4447,4518,4599,4671,4747,4826,4892,4957,5037,5116,5201,5299,5398,5494,5585,5688,5780,5878,5979,6106,6212,6325,6472,6592,6738,6884,7027,7164,7299,7440,7590,7727,7876,8031,8188,8323,8480,8655,8821,8997,9147,9320,9486,9680,9882,10066,10249,10460,10667,10873,11065,11287,11518,11730,11957,12210,12455,12698,12947,13205,13447,13707,13954,14231,14503,14753,15009,15263,15510,15769,16002,16287,16555,16844,17144,17448,17748,18074,18381,18711,19077,19415,19787,20153,20514,20854,21271,21643,22058,22441,22843,23285,23721,24175,24633,25089,25578,26081,26579,27070,27604,28095,28560,29097,29604,30159,30691,31203,31761,32295,32837,33387,33941,34486,34996,35544,36129,36673,37214,37751,38294,38878,39499,40115,40715,41260,41875,42520,43181,43816,44511,45206,45910,46622,47357,48127,48896,49689,50498,51277,52062,52800,53625,54496,55386,56272,57182,58048,58975,59908,60911,61821,62861,63833,64816,65779,66761,67840,68954,70066,71174,72310,73433,74580,75777,76946,78091,79324,80642,81912,83210,84508,85906,87275,88661,90113,91558,93006,94463,95974,97490,99032,100532,102162,103836,105437,107091,108722,110401,112099,113810,115576,117307,119049,120833,122616,124353,126213,128078,129906,131826,133747,135669,137743,139709,141777,143815,145897,148122,150320,152648,154904,157243,159567,162102,164538,167120,169718,172319,174875,177595,180389,183187,186028,188943,191889,194801,197824,200789,203916,207083,210211,213451,216726,220027,223401,226895,230407,234026,237574,241098,244710,248313,251979,255679,259532,263392,267222,271043,275026,279130,283229,287407,291564,295793,300118,304435,308810,313255,317620,322138,326784,331417,336217,340937,345721,350638,355605,360754,365806,371114,376336,381649,386996,392555,398018,403645,409356,415068,420723,426677,432573,438517,444632,450686,456744,463123,469545,476033,482548,489197,495912,502680,509701,516699,523770,530980,537995,545410,552832,560215,567841,575481,583267,591115,599049,607189,615423,623614,631730,639946,648652,657181,665995,674900,684055,693034,702232,711497,720717,730336,740055,749950,759940,770074,780256,790629,800964,811696,822426,833374,844396,855524,866901,878265,889910,901753,913588,925814,938075,950383,962895,975466,988214,1000908,1014151,1027346
1,1,1,1,1,1,1,3,3,3,4,7,11,11,11,13,13,14,14,17,19,22,26,33,40,46,61,71,83,90,99,107,116,123,132,141,148,164,184,196,205,218,232,247,265,276,289,304,318,342,365,387,410,442,464,484,506,535,562,589,611,644,665,687,711,734,778,806,837,882,908,944,981,1009,1046,1075,1117,1148,1188,1218,1248,1277,1313,1350,1376,1420,1451,1480,1518,1547,1583,1621,1650,1685,1708,1749,1776,1816,1853,1888,1924,1968,1997,2026,2063,2094,2134,2174,2200,2233,2270,2303,2340,2368,2415,2459,2494,2536,2573,2602,2640,2678,2712,2748,2779,2819,2858,2887,2914,2946,2970,3005,3041,3071,3118,3155,3200,3244,3273,3311,3350,3390,3425,3477,3522,3558,3610,3651,3688,3737,3790,3857,3894,3954,4009,4066,4122,4181,4231,4284,4335,4392,4444,4498,4546,4603,4667,4719,4776,4819,4877,4931,4995,5048,5104,5161,5223,5279,5323,5386,5424,5466,5533,5595,5659,5717,5786,5851,5920,5981,6046,6121,6216,6302,6393,6469,6566,6662,6759,6838,6941,7041,7133,7232,7342,7423,7519,7621,7730,7842,7960,8060,8176,8301,8451,8574,8697,8835,8970,9097,9249,9383,9530,9676,9814,9967,10152,10328,10484,10664,10837,11019,11211,11367,11553,11765,11950,12128,12319,12516,12720,12913,13108,13323,13521,13708,13924,14111,14314,14525,14755,14988,15206,15433,15668,15885,16127,16329,16541,16800,17075,17309,17551,17815,18062,18320,18576,18844,19105,19378,19649,19931,20201,20491,20761,21054,21313,21606,21893,22179,22464,22765,23063,23361,23669,23962,24268,24594,24866,25143,25461,25744,26056,26372,26681,26999,27309,27647,27986,28329,28678,29020,29361,29666,30008,30352,30720,31091,31501,31885,32256,32640,33018,33394,33757,34157,34519,34875,35246,35649,36021,36418,36802,37206,37608,38014,38395,38771,39173,39602,40028,40438,40898,41351,41836,42313,42790,43297,43807,44310,44831,45376,45885,46421,46989,47542,48126,48674,49233,49808,50401,51009,51569,52192,52769,53354,53935,54538,55117,55725,56303,56873,57512,58130,58746,59395,60021,60669,61326,61928,62582,63265,63964,64640,65305,65976,66652,67354,68096,68800,69553,70307,71061,71775,72504,73283,74048,74938,75775,76632,77474,78319,79191,80067,80942,81818,82706,83622,84560,85514,86450,87370,88285,89259,90258,91229,92216,93139,94185,95182,96199,97238,98248,99217,100302,101307,102332,103429,104515,105581,106670,107825,108946,110093,111248,112365,113449,114589,115785,117069,118286,119467,120688,121958,123200,124409,125667,126993,128354,129656,131021,132386,133751,135096,136501,137945,139325,140774,142282,143779,145257,146739,148204,149749,151273,152797,154403,155906,157536,159124,160668,162378,164010,165721,167477,169216,170982,172686,174507,176252,178075,179940,181831,183760,185786,187736,189673,191722,193770,195856,197945,200125,202373,204610,206909,209219,211637,214065,216557,219188,221700,224323,226923,229512,232315,235035,237919
1,1,2,2,3,3,4,6,6,7,7,7,8,9,12,13,15,20,21,22,22,28,32,36,37,39,41,45,53,60,67,78,87,94,103,114,122,137,148,157,166,178,193,201,213,222,230,241,252,263,276,289,304,316,333,348,360,377,399,415,441,468,494,521,535,561,591,621,652,673,695,734,764,797,832,855,881,917,955,991,1033,1074,1114,1153,1210,1257,1294,1339,1384,1431,1471,1518,1563,1617,1671,1734,1778,1831,1889,1944,1996,2042,2095,2147,2203,2267,2312,2371,2421,2494,2589,2658,2734,2824,2910,2985,3078,3156,3235,3328,3439,3524,3614,3744,3842,3945,4079,4232,4351,4478,4621,4765,4920,5082,5227,5403,5594,5757,5945,6124,6289,6457,6660,6837,7026,7244,7443,7688,7900,8119,8312,8535,8713,8935,9154,9360,9572,9801,10018,10208,10423,10670,10940,11176,11397,11643,11914,12170,12425,12693,12972,13260,13536,13824,14115,14366,14675,14991,15334,15711,16034,16347,16733,17091,17467,17839,18198,18567,18957,19355,19786,20191,20593,21024,21477,21923,22379,22817,23252,23688,24127,24646,25102,25563,26046,26511,26978,27410,27912,28374,28839,29269,29746,30194,30677,31129,31606,32102,32577,33088,33597,34119,34631,35175,35730,36248,36812,37383,37895,38560,39119,39749,40394,41046,41706,42409,43082,43757,44416,45108,45856,46601,47424,48208,49029,49800,50606,51441,52279,53169,54030,54909,55810,56742,57627,58560,59499,60423,61358,62332,63347,64424,65477,66536,67566,68646,69701,70741,71783,72872,74021,75100,76195,77332,78548,79740,80975,82195,83393,84690,86028,87271,88597,89958,91262,92675,94124,95623,97074,98456,99968,101561,103158,104773,106392,108055,109814,111501,113215,115013,116777,118657,120572,122464,124419,126329,128240,130196,132202,134240,136307,138359,140485,142645,144784,146971,149158,151467,153741,156041,158385,160689,163135,165594,168052,170678,173218,175799,178423,181186,183809,186626,189402,192228,195140,198141,201081,204077,207122,210280,213482,216718,219898,223191,226456,229851,233276,236741,240173,243627,247150,250691,254474,258228,261936,265746,269503,273410,277310,281353,285457,289512,293624,297887,302204,306499,310926,315361,319794,324274,328726,333239,337900,342596,347370,352140,357047,362011,367039,372298,377456,382755,387950,393389,398726,404313,409877,415595,421375,427213,433198,439127,445170,451230,457519,463630,469899,476330,482993,489648,496162,502987,509791,516693,523677,530892,538029,545242,552537,560080,567564,575021,582791,590470,598327,606302,614306,622474,630835,638979,647224,655789,664291,673164,682035,690845,699866,708958,718221,727557,737109,746711,756378,766283,776128,786053,795993,805940,816116,826413,836892,847613,858522,869332,880274,891454,902937,914373,925833,937788,949640,961537,973757,986394,998906,1011574,1024393,1037235,1050257,1063631,1077096,1090782,1104399,1118350,1132430,1147063,1161603,1176298,1191311,1206385,1221644,1237231,1252854,1268957,1284990,1301214,1317666,1334278,1351012,1367965,1385267,1402797,1420389,1438038,1455740,1473731,1492053,1510643,1529162,1547820,1566481,1585437,1604814,1624314,1643934,1663546,1683572
1,1,3,3,5,6,9,9,11,16,20,24,25,31,35,42,46,53,63,71,81,90,98,105,116,127,138,157,167,185,200,214,240,254,266,274,293,312,324,340,351,376,390,409,431,445,468,484,494,515,534,551,581,605,627,652,682,710,743,770,793,808,840,865,894,922,946,972,1008,1038,1066,1090,1127,1157,1186,1211,1238,1275,1301,1321,1361,1387,1412,1438,1468,1498,1532,1557,1578,1597,1625,1658,1693,1723,1753,1786,1826,1859,1888,1931,1965,2000,2032,2065,2109,2148,2187,2229,2280,2326,2368,2412,2458,2507,2545,2584,2623,2673,2709,2757,2800,2842,2878,2914,2951,3001,3037,3076,3117,3150,3181,3210,3243,3279,3321,3365,3394,3423,3454,3491,3531,3562,3594,3621,3652,3695,3725,3752,3784,3831,3879,3915,3959,3995,4041,4108,4166,4236,4293,4367,4448,4513,4585,4647,4711,4772,4826,4900,4960,5025,5106,5166,5235,5297,5359,5420,5495,5563,5630,5689,5749,5817,5867,5942,6024,6107,6184,6264,6330,6413,6492,6557,6634,6710,6778,6864,6932,7018,7094,7175,7273,7345,7442,7518,7601,7694,7774,7856,7951,8059,8161,8260,8345,8436,8522,8637,8730,8834,8934,9035,9134,9237,9348,9459,9570,9696,9804,9952,10068,10201,10327,10466,10595,10751,10877,11014,11149,11305,11454,11586,11738,11917,12100,12274,12472,12671,12882,13086,13282,13534,13752,14002,14270,14526,14765,15000,15290,15560,15866,16153,16447,16741,17063,17347,17669,18007,18348,18704,19036,19387,19707,20063,20442,20836,21194,21607,21980,22369,22755,23170,23587,24031,24452,24902,25312,25754,26173,26572,27001,27446,27871,28345,28781,29235,29729,30185,30639,31089,31554,32044,32551,33067,33565,34113,34644,35162,35730,36317,36892,37500,38078,38651,39253,39864,40476,41122,41751,42445,43125,43781,44483,45178,45890,46595,47317,48098,48819,49632,50418,51232,52006,52811,53646,54451,55225,56107,56978,57809,58678,59534,60508,61429,62342,63282,64252,65256,66269,67271,68256,69263,70301,71387,72435,73537,74633,75744,76806,77861,78997,80159,81349,82516,83702,84945,86178,87448,88710,89999,91372,92725,94125,95492,96934,98383,99839,101291,102833,104497,106110,107796,109432,111088,112838,114539,116347,118171,120016,121898,123735,125555,127487,129481,131490,133553,135564,137700,139780,141854,143945,146165,148354,150470,152682,154990,157277,159521,161817,164171,166500,168861,171175,173619,176118,178586,181096,183676,186243,188962,191688,194423,197151,199899,202643,205476,208364,211192,214219,217264,220442,223515,226570,229759,233021,236318,239607,242946,246318,249800,253206,256713,260209,263805,267454,271141,274919,278945,282974,286936,290980,295049,299095,303355,307689,312067,316378,320888,325542,330065,334619,339349,344059,348870,353718,358651,363695,368597,373682,378819,383919,389227,394633,400177,405529,411053,416599,422290,428092,434013,439941,446186,452364,458548,464827,471037,477443,484035,490460,496915,503639,510404,517405,524267,531258,538353,545652,552896,560214
1,1,1,1,1,2,3,3,3,5,7,10,12,14,14,16,17,19,20,21,27,37,44,48,52,63,72,78,88,99,108,128,142,153,165,176,188,197,214,230,242,255,269,284,293,303,315,329,339,353,368,386,400,425,444,465,487,502,524,544,569,593,622,656,690,709,735,772,797,834,873,912,946,984,1015,1062,1115,1168,1227,1292,1344,1408,1467,1524,1589,1651,1722,1770,1832,1901,1972,2034,2088,2161,2221,2298,2364,2427,2484,2532,2577,2634,2690,2762,2826,2883,2944,3005,3069,3130,3206,3282,3350,3414,3481,3532,3596,3656,3700,3760,3820,3878,3944,4014,4085,4154,4235,4301,4372,4463,4537,4607,4686,4748,4831,4908,4998,5084,5172,5257,5338,5434,5536,5634,5721,5805,5908,6008,6097,6183,6311,6422,6524,6620,6735,6841,6942,7045,7154,7269,7395,7497,7609,7714,7828,7958,8068,8183,8306,8437,8554,8666,8789,8934,9047,9193,9323,9442,9563,9687,9830,9959,10091,10239,10356,10521,10650,10794,10944,11091,11247,11388,11556,11716,11895,12052,12199,12354,12532,12691,12871,13050,13217,13360,13543,13735,13924,14131,14289,14501,14684,14884,15092,15308,15496,15702,15889,16108,16311,16524,16759,16981,17206,17429,17676,17906,18140,18380,18662,18932,19199,19474,19743,20040,20321,20627,20920,21200,21467,21754,22070,22362,22692,23012,23290,23627,23953,24319,24652,25036,25368,25715,26090,26432,26791,27198,27611,28015,28387,28803,29182,29602,29980,30392,30835,31261,31756,32240,32719,33242,33699,34194,34641,35134,35643,36188,36722,37198,37681,38213,38721,39280,39839,40399,40942,41512,42084,42641,43239,43821,44406,44989,45605,46263,46871,47536,48181,48818,49415,50050,50692,51352,51981,52666,53340,53980,54616,55253,55921,56558,57250,57965,58700,59409,60119,60850,61571,62332,63060,63767,64590,65320,66096,66920,67748,68582,69406,70210,71081,71956,72873,73670,74624,75584,76486,77363,78333,79289,80205,81173,82201,83186,84161,85198,86286,87358,88436,89518,90648,91731,92846,93973,95071,96270,97441,98627,99854,101065,102290,103493,104728,105994,107312,108606,109929,111294,112661,113980,115326,116724,118174,119560,121057,122581,124116,125633,127164,128777,130354,131945,133623,135294,136978,138642,140300,142016,143669,145408,147119,148922,150654,152454,154294,156161,158074,159984,161933,163847,165845,167758,169710,171744,173807,175825,177953,180066,182163,184292,186460,188670,190903,193096,195431,197787,200079,202523,204903,207323,209800,212255,214740,217402,219941,222639,225436,228223,230957,233747,236587,239391,242285,245153,248178,251128,254109,257168,260241,263465,266749,270071,273285,276718,280220,283731,287344,291044,294623,298379,302158,305873,309785,313620,317587,321598,325626,329769,333998,338279,342618,347143,351555,356130,360787,365384,370176,375033,379831,384704,389622,394651,399891,405086,410346,415765,421185,426637,432345,437933,443558,449222,455060,461086,467119,473378,479568,485942,492256,498683,505321,512023,518803,525517,532209,539293,546356,553527,560589
1,1,1,1,2,3,4,6,7,11,12,14,14,17,17,17,17,17,20,20,23,24,32,37,41,46,48,55,65,76,85,99,106,124,129,142,152,168,176,192,209,220,230,245,262,272,286,298,317,344,369,393,418,440,469,492,518,545,569,591,609,628,649,671,691,711,733,761,782,807,831,854,884,918,939,969,991,1015,1063,1099,1133,1170,1214,1255,1286,1327,1377,1414,1469,1524,1583,1638,1681,1723,1774,1814,1872,1931,1990,2038,2087,2140,2201,2250,2320,2373,2431,2483,2564,2629,2692,2773,2851,2925,3009,3091,3171,3250,3327,3388,3478,3570,3648,3747,3817,3894,3977,4068,4163,4251,4340,4436,4530,4639,4727,4840,4938,5043,5125,5225,5329,5439,5535,5647,5748,5879,6001,6131,6250,6363,6499,6642,6779,6889,7035,7189,7318,7472,7632,7783,7926,8072,8257,8419,8600,8785,8946,9139,9322,9496,9681,9875,10040,10206,10395,10577,10731,10947,11179,11399,11591,11802,11988,12212,12415,12615,12854,13090,13338,13574,13821,14084,14329,14578,14831,15089,15317,15597,15841,16104,16384,16658,16928,17199,17489,17738,18019,18296,18585,18872,19124,19410,19689,19971,20323,20632,20959,21276,21581,21909,22241,22580,22924,23274,23654,24040,24390,24787,25126,25484,25868,26259,26687,27095,27503,27931,28364,28786,29169,29587,30053,30500,30908,31404,31829,32291,32722,33196,33660,34153,34626,35073,35591,36107,36617,37171,37709,38257,38796,39330,39909,40482,41076,41654,42280,42943,43522,44193,44847,45500,46199,46888,47590,48302,49046,49782,50503,51257,52017,52801,53604,54372,55155,55981,56818,57640,58497,59316,60249,61135,62043,62976,63898,64745,65695,66603,67619,68533,69487,70507,71487,72532,73533,74556,75570,76671,77777,78880,80030,81157,82337,83466,84591,85686,86913,88144,89302,90471,91701,92901,94205,95513,96812,98077,99351,100692,102018,103311,104700,106118,107596,109029,110474,111983,113505,114972,116509,118017,119525,121173,122841,124495,126212,127947,129703,131458,133286,135096,136969,138877,140725,142703,144646,146698,148676,150660,152749,154774,156831,158980,161080,163222,165296,167464,169647,171869,174130,176267,178591,180820,183061,185356,187679,190069,192457,194798,197313,199787,202347,204912,207439,210025,212691,215489,218275,221206,224045,226907,229791,232765,235721,238784,241832,244961,248095,251274,254636,258019,261352,264837,268334,271993,275656,279388,283179,287089,291023,294879,298905,303010,307219,311414,315671,320054,324387,328693,333103,337550,342081,346686,351342,355991,360775,365663,370481,375287,380338,385386,390484,395611,400837,406160,411397,416845,422215,427790,433374,439052,444717,450558,456482,462552,468515,474629,480878,487134,493458,499776,506477,512955,519541,526218,532989,540007,547077,554083,561221,568285,575639,583159,590649,598169,605771,613650,621486,629473,637545,645796,654258,662888,671251,679848,688574,697356,706262,715287,724581,733970,743416,753020,762669,772411,782386,792274,802267,812511,822682,833061,843676,854289,865035,875868,886683,897796,908921,920140,931808
1,1,1,1,1,1,1,2,4,4,5,7,10,13,18,23,24,27,27,32,39,43,47,49,62,66,73,86,92,104,116,123,135,142,148,158,167,185,189,197,208,218,226,232,236,245,253,259,266,277,282,293,298,310,329,341,352,367,385,396,411,419,436,450,476,502,515,541,573,603,637,670,697,730,764,786,814,847,879,920,968,1002,1039,1091,1142,1180,1210,1250,1299,1355,1400,1435,1467,1517,1551,1590,1637,1689,1735,1783,1828,1873,1922,1987,2039,2083,2138,2180,2235,2289,2355,2419,2495,2556,2628,2716,2793,2855,2939,3039,3111,3196,3285,3374,3455,3549,3646,3747,3839,3958,4047,4152,4257,4375,4473,4587,4711,4802,4906,5005,5110,5207,5308,5397,5485,5574,5674,5748,5836,5922,6001,6080,6169,6249,6331,6408,6498,6580,6674,6748,6820,6915,7007,7109,7190,7272,7359,7454,7570,7666,7792,7907,8028,8140,8246,8346,8468,8545,8646,8766,8890,8991,9089,9212,9332,9456,9619,9744,9880,10006,10129,10271,10413,10566,10718,10861,11042,11200,11336,11494,11640,11836,12027,12201,12388,12572,12781,12976,13177,13373,13570,13767,13953,14150,14357,14559,14759,14979,15181,15406,15614,15845,16074,16305,16520,16734,16973,17220,17452,17686,17915,18162,18388,18577,18802,19074,19308,19556,19812,20094,20355,20645,20942,21241,21556,21841,22132,22432,22740,23057,23324,23655,23994,24300,24617,24970,25302,25609,25920,26275,26657,27011,27411,27812,28207,28580,28986,29355,29783,30218,30662,31094,31516,31941,32383,32826,33291,33755,34234,34705,35196,35658,36114,36536,36986,37470,37932,38427,38893,39390,39835,40365,40824,41315,41776,42272,42791,43351,43897,44418,44954,45505,46036,46603,47206,47815,48444,49055,49665,50286,50870,51505,52139,52776,53415,54104,54824,55486,56198,56933,57633,58353,59115,59877,60656,61443,62211,63055,63819,64709,65542,66322,67159,68019,68905,69771,70650,71559,72447,73311,74201,75118,76045,76965,77969,78964,79995,81059,82060,83029,84138,85243,86321,87409,88527,89635,90757,91929,93085,94253,95447,96631,97847,99073,100229,101444,102676,103955,105269,106601,107879,109255,110505,111901,113170,114478,115883,117321,118782,120198,121744,123235,124691,126198,127739,129319,130902,132531,134213,135900,137513,139189,140938,142662,144479,146309,148023,149861,151636,153427,155266,157158,159042,160943,162946,164892,166823,168741,170635,172649,174611,176694,178714,180761,182845,184901,186918,189021,191247,193437,195607,197689,199874,202052,204237,206441,208734,211040,213428,215806,218238,220707,223167,225630,228231,230792,233382,236042,238706,241462,244178,246935,249902,252769,255612,258662,261656,264665,267701,270841,273947,277166,280474,283769,287149,290488,293875,297316,300816,304273,307804,311443,315079,318796,322676,326666,330486,334363,338286,342228,346259,350381,354525,358617,362714,366979,371258,375613,380020,384483,389088,393633,398347,403171,407950,412782,417762,422715,427784,433034,438266,443764,449225,454757,460284,465987,471677
1,1,1,1,1,1,2,5,6,7,8,10,11,14,17,19,25,28,38,44,49,55,60,74,89,102,111,128,147,168,184,205,220,235,257,279,294,310,327,341,360,378,404,427,436,458,483,503,521,541,561,574,601,614,636,656,678,709,733,767,796,823,848,869,909,948,994,1030,1062,1109,1151,1194,1228,1273,1312,1360,1401,1440,1487,1537,1584,1636,1707,1749,1800,1843,1884,1926,1974,2025,2073,2108,2151,2198,2257,2311,2346,2399,2444,2492,2538,2586,2650,2698,2759,2816,2888,2962,3017,3065,3119,3181,3252,3306,3353,3409,3464,3522,3590,3642,3699,3758,3816,3883,3945,4006,4062,4131,4203,4270,4333,4398,4462,4533,4590,4645,4715,4785,4872,4949,5017,5079,5124,5205,5288,5366,5459,5551,5620,5726,5810,5885,5983,6065,6157,6252,6341,6449,6538,6630,6729,6847,6942,7041,7128,7227,7332,7433,7557,7684,7811,7925,8036,8164,8271,8399,8542,8690,8813,8949,9093,9248,9393,9515,9666,9829,9986,10141,10302,10471,10641,10801,10967,11116,11261,11426,11590,11747,11901,12074,12242,12437,12605,12807,13030,13227,13406,13594,13796,13972,14158,14345,14571,14777,14992,15177,15381,15596,15814,16055,16275,16497,16684,16939,17182,17418,17665,17892,18123,18397,18649,18950,19231,19502,19789,20044,20345,20642,20939,21235,21517,21798,22105,22465,22824,23182,23540,23887,24225,24551,24935,25359,25717,26111,26512,26942,27358,27750,28162,28583,29033,29529,29985,30480,30962,31430,31943,32475,32993,33494,33993,34554,35057,35560,36104,36643,37193,37762,38324,38887,39475,40050,40611,41231,41847,42502,43119,43754,44380,45057,45709,46386,47070,47751,48472,49222,49963,50748,51540,52300,53078,53887,54690,55489,56315,57134,57981,58864,59727,60581,61475,62295,63154,64077,64863,65716,66710,67619,68491,69432,70362,71309,72222,73143,74080,75041,76010,76962,78013,79080,80055,81124,82224,83263,84355,85437,86611,87700,88841,89949,91097,92238,93425,94558,95735,96863,98082,99285,100534,101707,102987,104232,105534,106878,108180,109530,110884,112321,113706,115139,116606,118059,119503,120991,122427,124015,125580,127260,128915,130421,132107,133820,135582,137348,139134,140906,142736,144572,146430,148343,150200,152095,154057,156077,158121,160184,162288,164458,166619,168780,170987,173243,175458,177809,180117,182490,184833,187268,189712,192198,194775,197370,199871,202542,205172,207951,210587,213309,216099,218834,221666,224612,227570,230567,233591,236577,239647,242724,245988,249253,252567,255845,259174,262627,266127,269712,273211,276782,280558,284286,288086,291943,295817,299813,303764,307872,312065,316277,320547,324760,328979,333381,337745,342237,346683,351258,355863,360484,365173,369914,374657,379601,384599,389689,394965,400165,405374,410582,415932,421311,426692,432273,438007,443835,449690,455769,461756,467926,473912,480166,486337,492821,499233,505699,512214,518872,525638,532327,539334,546417,553636,560861,568197,575407,582925,590446,598024,605778,613563,621436,629259,637479,645664,653845,662229,670653,679138
1,1,1,2,4,6,8,11,13,16,17,19,21,24,30,40,49,57,60,60,70,79,84,92,99,107,118,133,143,149,156,164,177,187,200,208,218,231,242,247,259,273,281,290,298,310,319,334,346,364,375,389,407,418,439,455,468,489,504,524,540,552,572,592,610,641,662,684,702,721,741,769,796,839,871,893,924,951,983,1010,1036,1065,1101,1129,1158,1190,1213,1248,1269,1293,1322,1354,1391,1422,1450,1477,1517,1562,1590,1620,1658,1697,1743,1777,1810,1844,1887,1920,1959,2000,2049,2099,2149,2198,2246,2291,2339,2393,2435,2478,2521,2560,2601,2649,2693,2739,2775,2816,2861,2909,2955,3008,3063,3129,3184,3263,3320,3396,3474,3549,3614,3690,3768,3856,3957,4035,4131,4231,4324,4433,4528,4633,4759,4873,4996,5111,5225,5373,5507,5645,5781,5930,6081,6207,6334,6469,6625,6778,6944,7118,7277,7427,7568,7718,7891,8084,8234,8385,8546,8720,8864,8996,9164,9310,9479,9624,9773,9932,10106,10292,10473,10641,10835,11009,11195,11372,11547,11749,11950,12124,12320,12506,12727,12934,13120,13355,13572,13789,14021,14232,14461,14711,14939,15189,15428,15688,15949,16221,16491,16750,17025,17299,17575,17868,18180,18490,18792,19112,19463,19794,20143,20487,20879,21267,21684,22120,22551,22963,23425,23881,24362,24804,25305,25819,26309,26816,27255,27752,28249,28732,29265,29743,30255,30740,31230,31737,32253,32809,33346,33827,34371,34944,35525,36098,36686,37260,37839,38440,39090,39728,40409,41050,41744,42405,43087,43820,44560,45274,46009,46737,47474,48287,49081,49905,50698,51534,52395,53293,54220,55159,56136,57114,58064,59003,59964,60973,61993,62984,63971,65020,66075,67204,68323,69409,70530,71668,72851,74049,75200,76378,77584,78827,80072,81360,82637,83938,85296,86585,87917,89295,90711,92217,93636,95064,96574,98085,99626,101274,102868,104486,106138,107882,109587,111464,113354,115299,117269,119273,121300,123351,125360,127510,129711,131903,134178,136487,138785,141149,143464,145830,148332,150743,153164,155726,158230,160867,163461,166201,168927,171727,174546,177402,180246,183208,186133,189044,192046,195002,198000,201057,204159,207277,210415,213598,216748,220027,223318,226698,230109,233514,236914,240487,244096,247752,251374,254950,258692,262495,266371,270320,274350,278346,282289,286502,290628,294937,299320,303696,308159,312744,317315,321946,326629,331230,335932,340662,345602,350569,355676,360799,365941,371224,376486,381785,387401,392807,398358,403938,409914,415832,421609,427594,433646,439764,445802,452052,458361,464789,471341,477875,484598,491451,498470,505499,512544,519787,526976,534370,541765,549300,556937,564743,572713,580783,588897,597050,605488,613705,622323,631048,639876,648692,657896,667068,676177,685533,695094,704684,714327,724159,734224,744225,754649,764840,775286,785687,796459,807328,818159,829306,840265,851615,863101,874713,886276,897946,909859,921964,934222,946530,959136,971751,984383,997348,1010371,1023666,1037155,1050847,1064607,1078491,1092560,1106849,1121320,1135916,1150792,1165932,1180865
1,1,1,1,1,1,2,4,5,6,7,7,8,10,13,16,19,19,20,25,27,34,40,45,52,58,68,75,83,97,105,115,120,138,145,150,162,175,191,199,206,214,230,236,243,256,266,282,304,327,346,366,390,410,439,467,487,512,537,574,610,648,677,707,743,775,817,865,907,955,995,1036,1088,1125,1188,1237,1277,1314,1363,1412,1471,1534,1591,1651,1711,1776,1823,1884,1943,2009,2071,2132,2205,2253,2317,2364,2412,2466,2532,2579,2632,2678,2739,2805,2850,2905,2956,3000,3064,3117,3160,3220,3273,3321,3378,3408,3453,3503,3554,3605,3655,3707,3755,3814,3852,3912,3965,4017,4072,4128,4199,4254,4300,4349,4406,4462,4516,4576,4633,4684,4733,4782,4833,4882,4952,5002,5043,5112,5171,5227,5279,5346,5400,5460,5522,5581,5635,5715,5779,5846,5917,5981,6050,6120,6192,6243,6307,6365,6426,6495,6565,6624,6698,6785,6852,6921,6998,7054,7138,7220,7297,7398,7488,7577,7663,7739,7839,7942,8051,8146,8236,8327,8417,8523,8616,8725,8833,8969,9058,9149,9266,9372,9488,9600,9709,9814,9955,10059,10183,10310,10425,10563,10720,10876,11024,11167,11321,11475,11634,11797,11937,12102,12235,12417,12587,12727,12915,13088,13265,13458,13660,13854,14024,14207,14384,14572,14742,14916,15090,15271,15486,15682,15892,16093,16283,16489,16691,16904,17130,17340,17537,17747,17985,18225,18432,18675,18885,19096,19313,19538,19797,20028,20272,20540,20795,21022,21259,21513,21778,22033,22279,22546,22835,23121,23397,23687,23955,24213,24513,24823,25135,25475,25793,26124,26461,26844,27204,27540,27922,28333,28688,29048,29446,29870,30241,30682,31086,31488,31949,32380,32831,33236,33669,34095,34531,34978,35422,35874,36346,36797,37235,37722,38181,38628,39100,39605,40078,40622,41138,41689,42229,42767,43296,43855,44410,44974,45498,46075,46687,47253,47848,48480,49109,49765,50408,51020,51653,52299,52965,53621,54324,55009,55723,56422,57131,57879,58617,59369,60168,60908,61657,62462,63270,64072,64924,65732,66620,67512,68423,69305,70222,71162,72042,72925,73836,74723,75673,76642,77637,78680,79745,80888,81989,83052,84073,85185,86269,87358,88536,89635,90762,91888,93039,94275,95506,96742,97985,99245,100505,101825,103140,104451,105761,107140,108536,109938,111305,112633,113986,115432,116876,118313,119812,121319,122861,124438,126009,127602,129203,130908,132516,134207,135928,137711,139495,141269,143117,144997,146910,148842,150685,152657,154625,156556,158574,160621,162703,164781,166876,168990,171114,173333,175550,177748,179957,182231,184608,187055,189531,191967,194362,196909,199429,201963,204459,206946,209484,212103,214801,217582,220340,223235,226089,229000,231922,234919,237921,241066,244177,247267,250407,253583,256865,260098,263388,266901,270277,273861,277339,280914,284564,288398,292239,296059,300082,304028,308083,312117,316236,320341,324671,329110,333575,337961,342559,347105,351783,356471,361261,366051,371050,376026,381026,386028,391187,396349,401508
1,1,1,1,3,6,6,8,10,13,14,18,19,21,27,32,33,40,50,55,61,72,75,86,94,102,109,115,121,127,135,146,153,159,170,179,187,196,201,207,215,221,231,242,250,261,274,285,297,310,323,333,337,351,362,380,399,416,434,453,475,491,516,546,582,611,634,669,702,735,760,793,827,862,881,910,953,995,1043,1083,1119,1158,1188,1228,1278,1332,1385,1442,1499,1554,1613,1679,1740,1814,1879,1955,2017,2081,2144,2204,2267,2341,2449,2538,2615,2691,2768,2848,2934,3022,3120,3214,3306,3405,3515,3616,3726,3828,3923,4059,4186,4302,4423,4550,4677,4808,4955,5094,5221,5356,5493,5637,5783,5897,6034,6175,6301,6429,6560,6692,6837,6993,7115,7232,7366,7495,7610,7739,7861,7971,8103,8259,8405,8546,8677,8812,8982,9141,9296,9454,9614,9770,9932,10115,10307,10498,10685,10892,11101,11307,11507,11691,11916,12146,12349,12548,12806,13025,13203,13431,13660,13903,14148,14365,14608,14871,15114,15385,15635,15887,16176,16419,16681,16941,17239,17529,17759,18020,18285,18569,18861,19130,19430,19739,20041,20332,20612,20906,21200,21492,21782,22028,22336,22618,22937,23241,23556,23863,24174,24508,24813,25137,25484,25784,26106,26419,26749,27089,27428,27770,28097,28461,28843,29206,29602,29999,30407,30872,31256,31707,32100,32522,32962,33427,33851,34259,34745,35175,35602,36072,36576,37029,37514,38026,38514,38968,39491,39960,40421,40888,41393,41916,42440,42980,43519,44009,44556,45100,45635,46206,46773,47363,47929,48534,49145,49816,50465,51141,51757,52411,53095,53804,54505,55209,55941,56701,57417,58163,58934,59711,60480,61299,62058,62873,63700,64561,65395,66258,67079,67898,68827,69720,70657,71602,72561,73506,74480,75501,76598,77638,78714,79779,80877,82033,83212,84403,85626,86805,88018,89223,90479,91735,92969,94278,95612,97001,98383,99779,101234,102637,104053,105456,107003,108537,110011,111641,113240,114861,116425,118036,119694,121339,123015,124672,126413,128154,129868,131684,133457,135326,137189,139107,140969,142890,144842,146835,148745,150726,152764,154830,156949,159015,161117,163227,165402,167534,169750,172035,174221,176438,178706,181026,183427,185746,188109,190558,192902,195317,197884,200495,203075,205672,208191,210873,213577,216263,219076,221923,224899,227897,230832,233922,236926,240006,243176,246419,249691,253072,256402,259793,263247,266692,270263,273819,277436,281192,285006,288826,292736,296594,300500,304508,308400,312477,316659,320880,325070,329408,333760,338253,342852,347386,351981,356676,361433,366232,371130,376056,381039,385972,391042,396182,401480,406866,412299,417742,423221,428791,434445,440160,445935,451963,457864,463991,470086,476284,482404,488737,495117,501493,508044,514686,521302,528095,534947,541793,548717,555950,562869,570152,577507,584953,592485,600125,607890,615583,623448,631194,639094,647121,655458,663767,672016,680266,688808,697413,706173,715030,723997,732943,742012,751384,760698,770233,779582,789374,799391,809243,819141,829302,839548,849799,860410,871024,881768,892751,903831
1,1,1,2,2,3,5,5,7,9,9,10,12,15,18,26,29,31,33,41,44,52,60,70,73,78,88,95,102,108,114,119,130,137,147,156,169,177,189,202,213,222,237,246,254,266,274,286,294,305,317,327,342,356,373,391,404,424,447,459,479,505,520,543,561,581,611,632,652,674,696,712,730,746,757,774,788,810,823,841,852,863,876,893,917,934,952,961,975,993,1014,1029,1040,1063,1080,1093,1109,1134,1153,1167,1178,1193,1214,1230,1249,1266,1286,1302,1316,1331,1355,1386,1405,1427,1441,1463,1490,1509,1535,1554,1582,1602,1627,1657,1686,1722,1757,1789,1820,1847,1871,1901,1932,1961,1991,2033,2079,2108,2150,2199,2246,2287,2331,2367,2414,2458,2521,2578,2632,2680,2753,2819,2874,2924,2992,3046,3098,3170,3240,3302,3369,3452,3529,3596,3685,3765,3837,3920,4001,4072,4145,4232,4333,4396,4469,4538,4620,4706,4778,4854,4936,5026,5106,5201,5270,5347,5437,5532,5635,5733,5845,5961,6059,6159,6254,6362,6469,6569,6686,6804,6918,7035,7149,7266,7400,7528,7674,7825,7959,8105,8231,8362,8500,8641,8818,8969,9139,9308,9472,9631,9818,9977,10114,10259,10419,10563,10708,10870,11036,11187,11363,11519,11651,11784,11921,12084,12219,12353,12498,12649,12787,12913,13060,13195,13344,13495,13661,13824,13983,14157,14345,14536,14700,14877,15066,15251,15463,15666,15870,16080,16319,16522,16758,16993,17244,17486,17737,17979,18239,18510,18788,19062,19336,19622,19930,20190,20436,20704,20994,21264,21555,21882,22209,22471,22746,23033,23325,23612,23938,24258,24572,24909,25251,25553,25892,26234,26621,26980,27319,27667,28023,28408,28799,29176,29569,29981,30388,30830,31240,31632,32048,32490,32920,33335,33784,34232,34680,35112,35576,36038,36490,36971,37420,37937,38410,38833,39289,39733,40222,40677,41145,41602,42113,42633,43128,43628,44114,44630,45155,45671,46193,46719,47215,47722,48263,48832,49374,49920,50496,51033,51615,52152,52719,53282,53889,54455,55074,55693,56276,56886,57560,58198,58841,59512,60182,60834,61529,62278,63018,63753,64496,65206,65985,66748,67490,68274,69111,69903,70688,71525,72316,73097,74011,74886,75765,76598,77423,78223,79078,79954,80847,81786,82726,83659,84624,85652,86651,87699,88698,89789,90915,91998,93172,94260,95428,96657,97914,99190,100468,101817,103112,104464,105837,107257,108673,110181,111646,113154,114667,116220,117735,119273,120832,122499,124130,125810,127478,129260,130984,132740,134456,136235,138040,139897,141778,143651,145541,147527,149484,151510,153561,155700,157786,160005,162225,164455,166748,169028,171273,173636,175945,178387,180782,183145,185601,188073,190635,193200,195788,198301,200963,203640,206313,209085,211890,214541,217393,220134,222928,225747,228653,231663,234611,237735,240895,244109,247223,250488,253749,257096,260433,263876,267284,270746,274239,277841,281524,285156,288878,292523,296395,300248,304193,308111,312110,316197,320231
1,1,1,2,3,5,5,5,8,10,13,14,16,17,19,23,29,35,37,38,39,42,44,47,49,58,64,72,75,78,84,90,101,109,115,124,130,144,152,161,168,170,180,187,192,199,208,215,223,228,234,238,246,250,258,264,268,270,274,279,281,288,291,295,301,301,305,307,307,309,311,312,314,315,317,321,322,324,326,327,331,332,333,333,336,338,340,340,342,347,351,353,356,362,363,367,373,377,378,381,388,391,393,395,406,419,430,435,445,457,473,493,506,520,528,542,557,573,586,604,612,636,646,669,697,716,742,771,806,845,866,901,939,967,1016,1042,1078,1123,1159,1201,1247,1296,1336,1387,1450,1518,1578,1632,1685,1729,1773,1810,1871,1928,1980,2029,2076,2134,2189,2241,2292,2354,2409,2462,2518,2565,2612,2667,2716,2758,2801,2859,2920,2967,3029,3064,3120,3176,3234,3288,3339,3387,3442,3491,3552,3609,3678,3743,3827,3886,3937,4028,4113,4182,4272,4347,4419,4499,4563,4658,4747,4818,4894,4983,5073,5151,5251,5338,5407,5500,5582,5672,5785,5866,5946,6031,6120,6209,6317,6410,6530,6610,6705,6798,6923,7055,7176,7295,7417,7527,7667,7814,7960,8080,8201,8360,8489,8647,8809,8988,9153,9325,9510,9695,9877,10082,10310,10527,10743,10984,11227,11478,11703,11960,12172,12420,12668,12908,13169,13415,13694,13958,14250,14519,14769,15038,15288,15559,15831,16106,16380,16679,16961,17234,17552,17856,18183,18476,18813,19097,19406,19718,20042,20340,20682,21013,21335,21655,22017,22354,22721,23057,23374,23714,24039,24402,24772,25127,25495,25857,26274,26672,27039,27457,27880,28286,28681,29077,29476,29869,30281,30723,31171,31600,32024,32455,32847,33332,33759,34188,34656,35102,35573,36043,36490,36974,37439,37909,38377,38890,39338,39796,40292,40768,41271,41770,42351,42930,43472,44022,44634,45211,45809,46364,46943,47568,48210,48841,49490,50187,50896,51627,52319,53038,53819,54534,55303,56081,56847,57612,58342,59130,59939,60766,61514,62351,63125,63964,64800,65609,66459,67338,68244,69049,69842,70727,71630,72527,73429,74333,75270,76203,77165,78093,79006,79918,80906,81883,82918,83875,84833,85773,86745,87727,88734,89821,90880,91950,93085,94162,95272,96400,97528,98750,100018,101212,102445,103669,104921,106229,107579,108903,110305,111735,113140,114592,116075,117562,119132,120721,122273,123884,125450,126986,128515,130160,131812,133538,135299,137066,138835,140558,142429,144379,146267,148169,150203,152132,154217,156265,158317,160437,162612,164766,166980,169152,171470,173901,176273,178692,181135,183643,186150,188689,191298,193919,196633,199382,202238,205066,207889,210801,213645,216645,219689,222770,225868,229056,232270,235441,238775,242065,245443,248859,252307,255761,259368,262945,266721,270476,274339,278303,282255,286186,290144,294194,298329,302526,306785,311149,315491,319869,324349,328975,333480,338063,342680
1,1,1,3,4,8,10,10,11,11,12,15,17,23,26,32,37,40,52,62,67,75,82,90,97,106,114,118,124,140,149,155,167,177,192,202,214,222,231,247,263,281,296,317,331,346,363,387,404,426,441,466,490,506,531,550,575,598,623,650,686,706,743,768,810,855,899,946,1007,1053,1103,1161,1220,1282,1343,1436,1500,1584,1650,1728,1796,1885,1987,2062,2158,2253,2327,2421,2500,2574,2672,2762,2839,2912,2987,3071,3143,3214,3293,3367,3442,3526,3609,3689,3760,3836,3906,4004,4103,4210,4299,4407,4502,4579,4657,4729,4825,4914,5011,5121,5235,5337,5452,5573,5679,5787,5908,6018,6139,6266,6395,6521,6653,6754,6883,6990,7092,7216,7346,7490,7633,7764,7886,8022,8159,8297,8427,8567,8703,8821,8948,9085,9198,9326,9465,9583,9717,9842,9959,10106,10237,10362,10484,10618,10752,10878,10994,11115,11233,11374,11493,11623,11735,11859,12000,12142,12272,12407,12550,12699,12868,13036,13200,13360,13514,13687,13858,14038,14227,14400,14565,14752,14961,15135,15347,15514,15687,15886,16075,16250,16416,16577,16774,16988,17186,17369,17552,17732,17915,18097,18305,18515,18707,18887,19054,19234,19426,19614,19826,20025,20266,20458,20661,20832,21041,21238,21443,21625,21836,22052,22271,22487,22694,22916,23145,23367,23595,23803,24023,24215,24464,24721,24982,25255,25529,25812,26076,26357,26652,26989,27337,27651,27976,28330,28691,29014,29375,29753,30127,30511,30892,31266,31633,32019,32428,32794,33179,33599,33989,34410,34835,35278,35752,36178,36616,37060,37552,38040,38539,39002,39495,40000,40531,41086,41623,42175,42738,43294,43920,44486,45029,45600,46178,46806,47368,47925,48508,49099,49695,50317,50961,51623,52253,52901,53615,54304,54983,55722,56468,57195,57915,58635,59397,60094,60844,61622,62356,63150,63917,64687,65483,66280,67082,67866,68654,69417,70208,71044,71852,72649,73495,74295,75124,75949,76834,77662,78549,79395,80285,81209,82132,83037,83934,84859,85753,86670,87641,88562,89574,90567,91547,92566,93615,94648,95708,96828,97990,99106,100194,101346,102443,103566,104648,105810,107023,108317,109594,110895,112186,113463,114778,116078,117409,118678,120103,121556,123076,124525,125981,127519,128997,130540,132060,133696,135408,137052,138757,140533,142239,144098,145996,147908,149827,151788,153770,155785,157845,159990,162175,164336,166552,168814,171130,173406,175669,177927,180268,182630,185068,187475,189952,192324,194865,197472,200017,202676,205286,207985,210702,213462,216359,219280,222068,224968,227958,230997,233991,237150,240231,243377,246657,249908,253167,256477,259929,263384,266815,270269,273838,277484,281214,284911,288559,292228,295958,299862,303763,307728,311794,315859,320063,324253,328534,332849,337170,341540,346094,350579,355127,359729,364341,368997,373793,378675,383473,388494,393582,398750,404165,409419,414901,420347,426081,431746,437452,443204,449247,455292,461429,467523,473712,480094,486704,493183,499772,506464,513325,520042,526986,534002,541182,548269,555664,562970,570366,577933,585355
1,1,2,3,3,8,10,12,13,18,21,25,32,34,39,43,49,53,61,67,73,76,82,91,102,116,121,128,135,148,152,158,166,176,193,204,216,233,243,255,275,296,316,334,353,379,406,425,446,467,501,534,558,586,619,643,677,708,730,768,794,826,852,886,918,953,993,1026,1055,1087,1106,1132,1161,1201,1228,1262,1291,1320,1349,1379,1409,1442,1462,1482,1515,1544,1581,1613,1644,1681,1713,1754,1794,1832,1861,1909,1940,1992,2047,2112,2160,2218,2278,2354,2411,2490,2574,2645,2721,2814,2884,2944,3016,3088,3162,3236,3303,3392,3475,3547,3640,3709,3793,3875,3935,4010,4087,4152,4218,4295,4369,4451,4516,4592,4668,4745,4816,4877,4948,5021,5099,5185,5262,5355,5442,5528,5612,5695,5783,5886,5987,6082,6180,6290,6382,6483,6586,6688,6801,6918,7039,7169,7302,7433,7540,7648,7759,7862,7994,8112,8255,8388,8554,8695,8842,8976,9116,9275,9412,9555,9700,9858,10010,10175,10337,10476,10620,10792,10953,11123,11309,11454,11621,11799,11998,12185,12363,12548,12745,12930,13148,13354,13594,13837,14062,14261,14472,14697,14937,15169,15422,15670,15932,16187,16421,16660,16899,17143,17385,17645,17875,18113,18365,18624,18853,19102,19346,19611,19873,20163,20419,20687,20949,21254,21532,21848,22144,22437,22761,23033,23350,23708,24036,24374,24675,25038,25353,25719,26054,26396,26762,27139,27505,27853,28217,28582,28955,29356,29702,30073,30483,30880,31265,31666,32060,32512,32915,33325,33755,34216,34661,35105,35601,36084,36534,37044,37532,38066,38568,39085,39592,40108,40651,41172,41717,42269,42804,43330,43881,44380,44978,45551,46130,46736,47307,47884,48462,49107,49722,50351,51009,51694,52376,53037,53666,54306,54996,55735,56442,57132,57839,58634,59373,60116,60838,61614,62368,63068,63873,64717,65562,66371,67162,67981,68844,69713,70588,71388,72336,73169,74091,75012,76010,76987,77961,78957,79962,81027,82081,83151,84229,85364,86581,87742,88958,90106,91363,92586,93776,95052,96344,97648,98923,100242,101478,102784,104164,105502,106861,108239,109742,111174,112649,114161,115675,117209,118683,120230,121906,123531,125168,126799,128450,130104,131797,133460,135226,137033,138854,140706,142553,144372,146226,148149,150150,152086,154155,156210,158330,160474,162653,164779,167004,169202,171422,173655,175893,178274,180627,183027,185407,187807,190363,192844,195322,197907,200566,203201,205882,208513,211141,213921,216673,219530,222411,225334,228357,231394,234298,237403,240496,243528,246697,249875,253186,256582,259935,263298,266771,270383,274112,278010,281926,285845,289799,293884,297986,302195,306453,310591,314868,319198,323555,327878,332472,337037,341578,346243,350857,355771,360582,365485,370370,375408,380542,385695,391034,396223,401536,406828,412201,417723,423330,429043,434909,440851,446825,452937,459000,465258,471442,477829,484485,491133,497969,504722,511513,518531,525641,533048,540232,547672,555062,562489,570148,577847,585666,593676,601690,609765,618109,626435,635075,643638,652273,660946,669798
1,1,2,2,4,8,9,12,13,18,23,25,26,31,35,41,48,53,70,80,91,100,110,120,130,140,154,163,175,187,196,210,220,240,251,269,280,295,305,318,340,355,376,395,414,433,457,479,504,532,561,591,627,655,687,724,755,779,817,847,880,906,939,973,1004,1026,1049,1075,1115,1160,1194,1231,1266,1302,1343,1384,1428,1473,1534,1580,1607,1648,1691,1740,1787,1825,1871,1918,1981,2044,2089,2140,2196,2246,2301,2351,2413,2464,2520,2574,2639,2681,2737,2793,2858,2918,2980,3037,3099,3153,3216,3278,3346,3420,3475,3552,3624,3682,3736,3808,3876,3958,4032,4107,4193,4288,4379,4440,4527,4624,4717,4801,4881,4963,5065,5159,5256,5363,5446,5539,5655,5738,5831,5939,6019,6129,6233,6351,6445,6538,6643,6767,6881,6999,7121,7232,7338,7457,7567,7679,7804,7924,8030,8157,8298,8435,8588,8711,8853,9001,9151,9317,9477,9623,9802,9967,10153,10336,10511,10687,10892,11073,11281,11495,11696,11916,12149,12340,12554,12786,13021,13257,13511,13772,14022,14268,14499,14767,15025,15301,15580,15828,16093,16374,16666,16961,17269,17576,17902,18193,18511,18855,19178,19513,19895,20259,20638,20998,21436,21838,22230,22628,23078,23516,23928,24376,24825,25288,25772,26251,26753,27257,27755,28230,28727,29241,29762,30231,30729,31255,31807,32352,32903,33484,34054,34630,35238,35796,36389,36932,37572,38188,38879,39554,40192,40886,41531,42196,42932,43678,44421,45135,45842,46550,47289,48066,48799,49552,50294,51109,51906,52710,53558,54371,55273,56123,56957,57801,58654,59586,60490,61407,62361,63311,64305,65296,66304,67334,68415,69505,70687,71824,72990,74165,75316,76486,77690,78912,80126,81333,82659,83881,85209,86477,87807,89165,90495,91802,93139,94591,96021,97422,98836,100273,101697,103236,104689,106209,107736,109313,110857,112490,114144,115794,117521,119253,120995,122781,124577,126381,128243,130135,132061,133980,135996,138010,139901,141899,143819,145858,147963,150010,152047,154150,156203,158237,160397,162508,164629,166798,169073,171341,173651,175919,178216,180493,182925,185280,187678,190025,192487,194978,197389,199871,202539,205069,207666,210399,213078,215891,218594,221381,224123,227088,230010,232887,235891,238884,241885,244901,248146,251234,254452,257773,261065,264395,267883,271374,274914,278635,282265,285999,289798,293739,297648,301631,305707,309927,314130,318392,322902,327375,331848,336452,340988,345665,350299,355111,359949,364742,369731,374755,379721,384748,390074,395362,400741,406136,411685,417149,422760,428369,434089,439967,445802,451893,457993,464219,470350,476758,483217,489757,496373,503031,509793,516668,523647,530694,537815,544991,552197,559661,567097,574560,582224,589921,597710,605571,613401,621486,629511,637760,646211,654430,662715,671187,679865,688412,697182,705967,715017,724006,733056,742112,751459,760669,770269,779914,789708,799794,809893,820178,830407,840845,851401,862044,872860,883865,894853,906199,917523,928957,940592,952172,964088,976236,988443,1000578,1012897,1025526,1038198,1050724,1063761,1076946,1089956,1103227,1116651
1,1,1,1,1,1,4,4,4,6,7,8,10,14,16,20,24,27,30,30,34,37,44,49,54,58,65,71,87,99,108,120,135,150,160,173,180,184,197,204,213,225,230,247,251,257,262,269,283,302,313,319,333,347,357,375,388,407,421,439,453,471,492,512,528,551,582,596,614,636,677,700,720,753,784,823,851,884,917,950,969,1003,1037,1068,1102,1131,1172,1208,1244,1268,1295,1336,1370,1401,1428,1454,1481,1513,1549,1573,1595,1627,1654,1689,1728,1767,1799,1829,1883,1921,1963,2008,2040,2091,2130,2178,2214,2259,2301,2350,2397,2438,2478,2521,2557,2600,2642,2679,2724,2765,2796,2820,2848,2888,2934,2974,3017,3049,3088,3125,3154,3203,3247,3305,3337,3389,3439,3489,3540,3595,3653,3699,3752,3831,3880,3938,4014,4070,4150,4216,4295,4391,4460,4563,4643,4728,4804,4881,4959,5038,5123,5208,5288,5359,5434,5521,5595,5682,5760,5877,5955,6046,6137,6222,6314,6410,6491,6588,6664,6749,6846,6967,7057,7158,7263,7358,7455,7554,7665,7769,7860,7971,8078,8189,8266,8363,8480,8582,8684,8791,8894,9007,9116,9217,9318,9424,9526,9637,9739,9858,9953,10050,10150,10264,10375,10462,10564,10668,10749,10844,10934,11041,11154,11249,11347,11454,11563,11679,11800,11910,12003,12136,12255,12374,12484,12592,12722,12850,12982,13128,13259,13390,13512,13645,13785,13900,14054,14206,14359,14526,14661,14805,14951,15086,15231,15385,15542,15699,15842,15990,16157,16332,16505,16662,16806,16975,17134,17305,17480,17657,17864,18039,18229,18433,18642,18831,19062,19283,19476,19719,19958,20255,20496,20796,21068,21347,21611,21917,22235,22527,22826,23128,23473,23817,24170,24529,24868,25216,25590,25983,26367,26761,27097,27445,27838,28243,28630,28984,29405,29845,30272,30700,31103,31552,31968,32362,32825,33256,33748,34208,34700,35199,35666,36164,36641,37134,37634,38181,38754,39313,39873,40448,41002,41572,42127,42696,43288,43884,44472,45106,45772,46433,47101,47729,48399,49101,49801,50514,51256,51939,52629,53322,54068,54800,55580,56375,57143,57929,58690,59484,60341,61144,61952,62718,63533,64335,65120,65939,66781,67642,68485,69334,70157,71064,72001,72938,73819,74761,75688,76645,77631,78569,79627,80646,81704,82711,83741,84830,85926,87068,88171,89310,90445,91537,92603,93771,94859,96011,97213,98384,99596,100779,101991,103118,104304,105527,106749,107969,109171,110486,111801,113166,114402,115669,116888,118211,119549,120871,122229,123556,124832,126149,127555,128965,130383,131850,133328,134822,136358,137905,139447,140978,142612,144221,145844,147507,149171,150872,152555,154249,155990,157832,159642,161520,163347,165270,167204,169059,171010,173073,175161,177268,179419,181594,183868,186054,188258,190542,192762,195131,197561,199915,202450,204929,207496,210106,212729,215416,218229,220895,223725,226581,229452,232429,235454,238533,241611,244747,247919,251129,254372,257583,261067,264435,267917,271320,274777
1,1,1,2,3,5,5,6,8,9,12,12,12,16,18,21,24,27,35,39,43,49,49,52,56,66,75,88,93,101,106,117,129,144,155,166,173,179,182,206,214,230,245,260,275,287,302,319,334,344,353,375,389,408,423,439,451,466,486,506,523,537,555,569,583,603,634,662,694,729,759,785,811,847,881,913,948,987,1014,1052,1094,1128,1167,1205,1239,1274,1303,1339,1380,1404,1435,1477,1515,1546,1576,1605,1636,1669,1697,1724,1743,1770,1801,1816,1850,1873,1893,1918,1946,1983,2011,2043,2068,2101,2146,2178,2215,2258,2293,2352,2400,2456,2516,2571,2630,2685,2753,2819,2875,2935,3003,3078,3144,3203,3249,3327,3388,3463,3521,3602,3665,3732,3801,3870,3929,3993,4057,4120,4181,4245,4310,4372,4428,4483,4543,4604,4651,4723,4782,4855,4917,4986,5034,5096,5152,5206,5261,5308,5368,5417,5486,5538,5606,5658,5707,5775,5840,5894,5956,6018,6087,6144,6206,6265,6343,6408,6458,6527,6580,6638,6715,6797,6880,6945,7023,7105,7211,7295,7397,7479,7574,7669,7757,7857,7969,8074,8187,8295,8405,8525,8640,8763,8868,9003,9130,9257,9373,9503,9629,9769,9920,10051,10182,10334,10474,10621,10749,10918,11074,11265,11412,11575,11754,11915,12066,12213,12389,12539,12705,12880,13061,13231,13389,13572,13729,13888,14054,14204,14369,14545,14705,14868,15008,15191,15342,15469,15620,15777,15937,16115,16295,16464,16628,16797,16980,17136,17322,17495,17682,17860,18028,18215,18426,18620,18810,18980,19142,19344,19542,19712,19906,20110,20301,20510,20707,20914,21090,21295,21492,21712,21911,22126,22358,22575,22807,23013,23243,23478,23708,23938,24164,24394,24628,24902,25134,25370,25624,25892,26122,26385,26702,26969,27251,27555,27801,28073,28371,28665,28953,29262,29576,29895,30185,30482,30843,31189,31520,31867,32232,32607,32991,33338,33711,34080,34446,34844,35170,35535,35945,36364,36780,37174,37566,38032,38418,38832,39233,39636,40086,40513,40939,41369,41792,42245,42678,43141,43622,44092,44566,45061,45558,46046,46567,47082,47641,48218,48785,49343,49935,50462,51099,51737,52336,52907,53553,54200,54823,55481,56109,56847,57572,58240,59003,59731,60458,61223,61967,62738,63528,64330,65123,66006,66842,67654,68495,69338,70163,71014,71941,72837,73768,74687,75612,76538,77512,78447,79407,80441,81503,82492,83474,84515,85544,86631,87697,88786,89842,90967,92164,93298,94446,95596,96809,97981,99260,100530,101858,103164,104500,105846,107157,108574,110038,111517,112921,114446,116019,117527,119072,120680,122336,123958,125655,127426,129163,130973,132724,134530,136407,138297,140193,142196,144105,146130,148200,150271,152341,154488,156636,158792,160974,163104,165355,167525,169795,172107,174442,176801,179210,181598,184021,186442,188970,191552,194176,196822,199435,202130,204846,207573,210492,213380,216300,219359,222389,225539,228558,231772,235068,238294,241684,244970,248294,251734,255237,258809,262435
1,1,1,1,1,1,3,6,9,12,14,17,17,19,19,22,24,27,28,30,32,35,38,40,43,48,52,63,66,73,82,87,98,103,112,124,132,135,143,152,160,169,181,188,204,218,224,237,246,263,270,283,295,304,312,329,343,356,370,392,415,426,441,459,472,489,507,523,537,547,565,583,602,622,634,652,667,683,695,709,719,740,757,767,781,797,813,831,852,871,885,898,920,935,958,981,997,1021,1041,1056,1079,1098,1118,1138,1159,1183,1203,1231,1250,1279,1297,1326,1369,1399,1427,1457,1496,1526,1566,1617,1658,1710,1750,1800,1847,1899,1939,1995,2043,2096,2163,2215,2275,2338,2399,2462,2529,2585,2644,2696,2765,2831,2895,2952,3008,3073,3143,3200,3266,3331,3400,3487,3562,3649,3739,3817,3910,3990,4074,4167,4264,4341,4442,4539,4641,4736,4835,4926,5034,5163,5275,5386,5496,5615,5734,5826,5937,6048,6156,6297,6420,6558,6700,6826,6948,7069,7185,7301,7429,7595,7748,7876,7998,8140,8282,8427,8562,8708,8861,9012,9161,9326,9478,9654,9816,9987,10175,10390,10577,10785,10968,11183,11351,11554,11757,11978,12184,12401,12634,12830,13079,13290,13541,13787,13998,14252,14502,14734,14979,15197,15441,15659,15961,16216,16487,16755,17054,17302,17565,17881,18163,18490,18802,19078,19422,19778,20117,20481,20819,21214,21575,21921,22275,22656,23070,23488,23889,24272,24679,25061,25502,25961,26397,26845,27260,27692,28127,28593,29100,29529,30058,30584,31077,31576,32044,32521,33038,33594,34086,34647,35195,35758,36325,36901,37512,38095,38688,39345,39967,40631,41234,41890,42532,43164,43836,44500,45166,45810,46455,47206,47934,48664,49435,50152,50905,51654,52405,53216,53945,54715,55496,56287,57131,57906,58778,59602,60485,61308,62178,63071,63942,64902,65842,66822,67761,68726,69673,70622,71601,72580,73561,74529,75505,76498,77494,78550,79567,80648,81771,82896,84037,85162,86344,87573,88774,89977,91156,92395,93669,94915,96222,97537,98883,100156,101528,102911,104273,105580,106966,108428,109748,111122,112535,114029,115557,117017,118527,120047,121635,123215,124773,126403,128033,129651,131366,133008,134696,136385,138219,139923,141645,143455,145306,147126,149038,150854,152768,154636,156596,158609,160582,162555,164521,166566,168660,170728,172919,175096,177304,179537,181718,184090,186415,188801,191216,193604,196147,198635,201235,203949,206568,209272,211916,214709,217434,220252,223059,226007,228936,232054,235164,238226,241518,244712,247953,251318,254826,258346,261997,265659,269326,273089,276822,280763,284634,288556,292541,296637,300644,304830,308941,313132,317317,321570,325997,330330,334859,339429,344017,348667,353373,358211,363121,367975,372960,378169,383209,388413,393829,399270,404776,410410,416014,421642,427329,433138,438980,444935,451146,457422,463715,470134,476637,483334,490081,496783,503558,510445,517474,524484,531335,538442,545658,552955,560422,567997,575669,583310,591106,598967,606859,615091,623284,631556,640054,648677,657279
1,1,1,3,4,6,8,8,8,11,16,18,21,24,27,30,35,37,46,54,67,75,81,88,98,117,125,138,151,161,170,183,193,204,210,222,233,244,253,269,286,304,316,339,351,371,392,415,432,452,471,495,507,535,557,581,608,635,663,689,720,760,801,848,876,921,956,1002,1033,1071,1097,1128,1159,1200,1238,1278,1316,1364,1410,1460,1508,1558,1614,1657,1701,1755,1812,1871,1928,1988,2052,2134,2209,2270,2341,2394,2466,2558,2632,2705,2795,2878,2959,3040,3127,3226,3328,3428,3523,3618,3713,3796,3903,3988,4077,4184,4303,4422,4520,4627,4739,4868,4988,5109,5255,5375,5492,5584,5704,5839,5967,6081,6209,6373,6517,6652,6800,6930,7080,7225,7358,7524,7679,7803,7943,8074,8230,8371,8533,8691,8837,8956,9113,9280,9452,9622,9787,9973,10168,10336,10496,10666,10843,10998,11170,11328,11472,11648,11839,12012,12197,12360,12527,12704,12885,13066,13243,13400,13563,13759,13912,14089,14289,14502,14713,14939,15145,15374,15577,15783,15984,16211,16441,16674,16883,17143,17393,17659,17925,18195,18466,18739,19034,19305,19561,19825,20127,20459,20792,21106,21438,21770,22120,22461,22813,23192,23560,23982,24386,24808,25227,25670,26130,26593,27032,27499,28018,28480,28962,29467,30030,30538,31045,31560,32090,32618,33161,33697,34257,34836,35384,35949,36482,37041,37649,38277,38899,39563,40169,40838,41497,42133,42754,43401,44094,44786,45479,46209,46911,47625,48341,49066,49873,50628,51413,52273,53146,54078,54973,55895,56849,57766,58708,59686,60648,61678,62689,63717,64691,65739,66776,67798,68899,69923,70978,71990,73160,74271,75388,76534,77708,78855,80018,81155,82344,83553,84772,85969,87233,88544,89845,91133,92457,93777,95138,96535,97964,99397,100866,102322,103818,105295,106783,108273,109833,111454,113016,114654,116353,118019,119691,121471,123225,125144,127108,128891,130757,132655,134586,136542,138460,140395,142448,144553,146704,148878,151030,153211,155438,157645,159965,162330,164677,166988,169497,171933,174404,176862,179360,181843,184427,187089,189636,192330,195050,197820,200580,203408,206251,209047,211992,214920,217857,220823,223841,226920,230064,233238,236524,239740,243077,246391,249912,253454,256891,260546,264221,267841,271513,275340,279110,282879,286772,290597,294578,298622,302701,306850,311028,315332,319539,323900,328210,332699,337353,342052,346678,351474,356317,361307,366292,371367,376623,381748,387020,392331,397776,403237,408912,414632,420404,426170,432052,438141,444151,450294,456496,462621,468967,475568,482095,488574,495141,501864,508751,515738,522815,529857,537087,544409,551769,559397,567120,574791,582703,590761,598731,606970,615103,623437,632108,640593,649089,657875,666476,675374,684359,693407,702696,712195,721641,731199,741075,751092,761146,771343,781464,791788,802275,812692,823342,834128,845064,856136,867449,878841,890457,902211,913975,925847,937706,949943,962227,974785,987184,999799,1012452,1025323,1038261,1051482,1064685,1077891,1091473,1104748,1118538,1132355,1146483,1160616,1174997,1189359,1204054,1218812,1233699,1248796,1264074,1279405,1295073
1,1,1,1,1,1,1,1,3,5,7,8,8,8,9,13,16,20,22,24,25,28,32,36,39,42,50,60,65,69,78,83,87,97,106,119,135,149,163,178,193,207,221,245,265,283,304,325,340,359,373,392,413,440,472,495,522,543,568,589,617,645,670,705,735,760,788,805,837,872,903,928,949,970,995,1022,1056,1092,1112,1147,1173,1210,1240,1276,1316,1351,1389,1432,1470,1510,1543,1567,1611,1668,1697,1750,1796,1838,1900,1943,2001,2046,2101,2148,2215,2271,2337,2394,2462,2516,2593,2663,2712,2779,2844,2926,3016,3091,3159,3224,3281,3363,3426,3512,3590,3674,3746,3814,3896,3980,4056,4134,4221,4291,4361,4440,4523,4615,4708,4828,4941,5051,5151,5241,5338,5458,5554,5661,5774,5884,5973,6091,6185,6273,6386,6495,6579,6688,6786,6913,7018,7126,7239,7338,7448,7523,7617,7725,7826,7928,8025,8118,8223,8322,8434,8538,8650,8738,8829,8914,9013,9122,9246,9329,9429,9542,9644,9748,9877,10008,10121,10256,10400,10527,10649,10784,10931,11068,11218,11389,11524,11687,11833,11969,12113,12271,12423,12578,12733,12902,13071,13239,13388,13566,13731,13907,14083,14290,14464,14647,14823,15036,15230,15428,15606,15810,16025,16241,16457,16689,16903,17104,17343,17556,17789,18055,18321,18564,18831,19074,19314,19566,19803,20062,20309,20580,20839,21080,21361,21648,21932,22188,22471,22753,23071,23358,23649,23963,24293,24587,24899,25243,25564,25902,26189,26512,26851,27210,27566,27940,28294,28657,29031,29444,29868,30308,30733,31184,31563,31963,32363,32807,33267,33731,34212,34714,35236,35725,36242,36749,37289,37824,38380,38937,39508,40088,40658,41289,41904,42534,43170,43803,44449,45099,45740,46437,47080,47786,48449,49143,49846,50558,51291,51966,52678,53395,54070,54749,55459,56184,56934,57628,58424,59232,59960,60747,61531,62328,63083,63903,64724,65511,66386,67229,68048,68882,69713,70590,71477,72381,73267,74223,75145,76087,77070,78038,79003,79954,80948,81979,83021,84070,85140,86158,87246,88329,89408,90471,91578,92730,93886,95055,96151,97345,98555,99693,100876,102130,103438,104729,106075,107373,108725,110062,111466,112857,114185,115650,117184,118651,120182,121719,123267,124803,126399,127908,129520,131229,132891,134586,136325,138070,139753,141600,143437,145207,146967,148781,150718,152581,154497,156403,158348,160295,162272,164266,166383,168421,170451,172466,174603,176696,178892,181142,183288,185571,187791,190063,192402,194792,197150,199613,202047,204596,207122,209737,212389,215094,217823,220594,223400,226330,229284,232213,235244,238267,241315,244323,247464,250680,253892,257188,260499,263897,267346,270882,274571,278233,281989,285690,289590,293586,297582,301756,305871,310049,314302,318523,322837,327166,331892,336575,341261,345901,350593,355411,360257,365282,370327,375369,380428,385566,390774,395993,401231,406579,411895,417364,422821,428415,434015,439781,445575,451429,457453,463637,469913,476288,482674,488972,495531,502129,508926,515629,522564,529557,536676
1,1,1,1,1,1,1,1,1,3,6,7,8,8,8,11,13,13,13,14,18,29,32,38,43,49,57,66,75,84,94,109,114,122,132,140,162,177,186,196,204,213,222,229,241,248,256,260,270,278,291,296,308,323,338,350,368,386,407,425,440,474,509,537,571,600,645,682,713,746,792,841,883,935,991,1042,1082,1136,1189,1240,1283,1336,1391,1442,1494,1553,1605,1656,1714,1780,1844,1897,1952,2005,2050,2101,2151,2193,2248,2299,2355,2412,2470,2536,2604,2671,2732,2790,2849,2913,2980,3048,3120,3189,3257,3306,3370,3422,3492,3573,3635,3711,3801,3883,3968,4058,4140,4212,4290,4388,4490,4589,4687,4765,4869,4957,5057,5152,5254,5363,5464,5545,5633,5724,5821,5939,6038,6147,6264,6364,6478,6580,6696,6806,6901,7002,7130,7235,7340,7439,7554,7654,7746,7864,7974,8099,8220,8351,8484,8605,8751,8850,8997,9126,9268,9392,9522,9674,9846,9986,10122,10258,10417,10551,10704,10856,10999,11185,11358,11542,11692,11863,12040,12237,12420,12604,12804,13014,13242,13488,13724,13988,14265,14519,14752,15002,15257,15529,15794,16086,16388,16699,17040,17357,17687,18017,18358,18695,19059,19417,19799,20168,20576,20981,21380,21751,22171,22567,23033,23438,23938,24402,24878,25358,25869,26341,26823,27281,27766,28227,28722,29241,29778,30266,30810,31331,31881,32456,33000,33547,34126,34684,35269,35887,36480,37101,37713,38414,39123,39820,40515,41198,41959,42699,43394,44204,44974,45778,46540,47365,48207,49046,49895,50768,51655,52541,53475,54412,55351,56265,57241,58248,59278,60301,61398,62434,63504,64590,65657,66783,67954,69096,70272,71431,72600,73790,74999,76236,77504,78706,79993,81278,82563,83885,85202,86445,87794,89188,90529,91907,93231,94633,96033,97488,98923,100384,101889,103438,104941,106517,108047,109610,111173,112845,114496,116185,117888,119567,121258,122994,124766,126526,128305,130200,132133,134065,136010,137971,139951,141926,143874,145860,147968,150190,152373,154470,156694,158988,161167,163338,165565,167879,170238,172604,174986,177389,179776,182227,184768,187321,190015,192701,195401,198089,200925,203784,206656,209628,212726,215817,219010,222201,225494,228904,232326,235720,239207,242721,246308,250058,253764,257530,261369,265212,269249,273306,277456,281577,285815,289821,294049,298341,302686,307080,311646,316160,320772,325351,330010,334704,339498,344343,349173,354127,359098,364148,369458,374646,379963,385268,390815,396388,402002,407605,413215,418998,424902,430711,436783,443042,449227,455557,462081,468633,475298,482064,488658,495465,502299,509383,516543,523942,531416,538914,546507,554145,561888,569734,577501,585569,593636,601823,610190,618583,627068,635732,644334,653203,662190,671202,680165,689295,698497,707678,717070,726551,736210,745937,755867,765934,776076,786118,796593,807093,817633,828340,839294,850386,861703,873067,884476,896013,907889,919752,931865,944083,956299,968724,981429,994205,1006891,1020000,1033142,1046327,1059807,1073257,1086861,1100817,1114946,1129111,1143442,1158184,1172741,1187706,1202802,1218029,1233395
1,1,1,1,6,6,7,7,8,10,11,13,16,16,17,18,19,22,22,22,22,22,24,24,26,26,26,26,26,30,31,32,33,35,36,36,36,37,39,41,41,46,48,52,53,56,60,61,65,72,80,87,93,103,111,117,127,133,147,155,166,175,188,202,221,256,271,296,318,335,351,370,390,417,455,487,511,544,574,593,621,647,673,700,722,753,777,799,832,868,904,941,981,1013,1052,1095,1128,1185,1230,1274,1307,1363,1403,1446,1491,1543,1579,1604,1641,1696,1746,1795,1838,1885,1929,1968,2003,2026,2060,2097,2143,2175,2211,2250,2287,2335,2364,2404,2444,2489,2529,2574,2627,2675,2749,2811,2870,2940,3007,3080,3165,3234,3308,3376,3461,3555,3642,3725,3806,3921,4000,4079,4176,4267,4362,4466,4572,4694,4800,4903,4989,5109,5214,5330,5443,5562,5666,5756,5868,5986,6103,6215,6349,6502,6617,6730,6859,6979,7097,7237,7387,7527,7714,7861,7993,8148,8289,8425,8597,8766,8924,9078,9234,9413,9565,9706,9896,10069,10229,10387,10559,10707,10861,11007,11185,11342,11517,11704,11875,12057,12264,12452,12629,12797,12999,13186,13351,13538,13728,13936,14135,14333,14527,14758,14979,15205,15438,15675,15926,16177,16412,16686,16931,17180,17475,17732,18018,18307,18599,18881,19168,19472,19802,20091,20397,20739,21044,21358,21673,21999,22342,22665,23015,23348,23680,24018,24378,24766,25134,25513,25882,26254,26633,27018,27411,27848,28283,28720,29105,29593,30030,30448,30851,31354,31832,32294,32748,33204,33687,34198,34744,35244,35757,36286,36809,37374,37898,38464,39060,39635,40240,40836,41474,42054,42738,43371,44061,44766,45456,46207,46966,47802,48534,49302,50153,50949,51799,52658,53514,54481,55405,56368,57350,58340,59261,60221,61196,62209,63226,64259,65336,66409,67460,68512,69687,70788,71893,73012,74085,75259,76461,77611,78775,79990,81218,82510,83820,85111,86401,87661,88974,90263,91595,92858,94262,95656,97094,98530,99961,101371,102831,104349,105948,107411,108971,110570,112073,113672,115373,117078,118777,120504,122203,123999,125818,127695,129572,131511,133518,135541,137545,139748,141885,144006,146226,148441,150679,152951,155283,157568,159909,162155,164493,166895,169344,171817,174388,176969,179609,182201,184788,187476,190270,193124,195911,198735,201575,204582,207705,210734,213867,217012,220170,223311,226606,229969,233405,236814,240346,243927,247417,251074,254768,258664,262556,266491,270542,274619,278807,282987,287204,291486,295801,300299,304648,309231,313636,318049,322667,327356,332041,336919,341787,346655,351547,356475,361443,366478,371524,376741,381881,387129,392478,398001,403356,408843,414357,420238,426104,432001,437781,443752,449755,455944,462217,468481,474935,481613,488291,495077,501747,508547,515440,522374,529441,536567,543847,551025,558431,565863,573520,581234,589137,597076,605184,613502,621709,630014,638465,646919,655706,664560,673512,682437,691458,700826,710034,719370,728933,738542,748289,757928,767869,777786,787886,797975,808095
1,1,1,2,3,4,4,6,9,11,14,15,18,23,25,27,30,32,39,42,47,52,57,65,70,76,87,94,108,113,123,134,142,157,168,183,195,215,228,237,257,269,291,309,320,332,346,362,378,388,400,415,431,445,471,486,500,513,526,550,569,590,605,625,643,668,690,708,729,756,784,810,834,864,902,930,966,998,1033,1084,1119,1146,1180,1230,1272,1310,1353,1390,1437,1479,1520,1566,1610,1670,1727,1787,1857,1918,1978,2048,2126,2212,2300,2388,2492,2602,2702,2805,2890,2991,3106,3214,3335,3459,3598,3714,3853,3975,4093,4224,4368,4489,4612,4738,4881,5009,5153,5283,5415,5563,5692,5825,5949,6073,6202,6329,6469,6613,6744,6893,7018,7145,7280,7456,7591,7763,7926,8085,8276,8445,8623,8801,8982,9168,9331,9535,9726,9911,10097,10250,10447,10654,10847,11037,11236,11415,11616,11817,11998,12223,12431,12657,12878,13129,13372,13603,13820,14061,14312,14561,14796,15050,15296,15545,15824,16086,16356,16641,16918,17178,17448,17729,17998,18291,18602,18868,19149,19400,19677,19983,20293,20634,20978,21296,21598,21935,22264,22576,22933,23303,23686,24084,24445,24782,25123,25528,25916,26296,26686,27072,27452,27827,28211,28596,28990,29384,29754,30122,30492,30875,31287,31717,32144,32562,32958,33365,33785,34225,34679,35149,35592,36105,36570,37044,37545,38068,38586,39113,39645,40166,40756,41362,41955,42574,43164,43730,44329,44947,45619,46263,46916,47611,48333,49050,49807,50557,51248,51988,52731,53490,54288,55069,55899,56748,57622,58462,59326,60258,61149,62070,62992,63966,64901,65841,66808,67754,68759,69774,70829,71835,72900,73892,74959,76033,77115,78253,79416,80556,81700,82910,84094,85283,86464,87680,88965,90164,91426,92710,93989,95267,96594,97932,99281,100669,102091,103535,104974,106514,107999,109602,111118,112669,114305,115872,117519,119084,120784,122489,124295,126001,127780,129499,131232,132964,134857,136700,138633,140569,142425,144314,146266,148224,150234,152172,154206,156223,158358,160414,162587,164749,166981,169258,171500,173831,176188,178531,180928,183359,185785,188124,190680,193134,195708,198325,201002,203588,206267,208933,211717,214541,217357,220287,223283,226196,229225,232185,235260,238438,241441,244529,247679,250923,254279,257489,260863,264288,267726,271258,274966,278480,282001,285703,289529,293440,297239,301200,305198,309301,313468,317563,321658,325945,330265,334754,339326,343906,348592,353192,357804,362544,367345,372234,377391,382447,387664,392993,398426,403910,409496,415075,420736,426564,432458,438398,444328,450417,456584,462941,469313,475783,482447,489068,495876,502647,509663,516542,523651,530944,538154,545758,553369,560999,568740,576726,584651,592783,601077,609465,617983,626544,635285,644248,653159,662416,671540,680917,690504,700128,709994,719871,729824,739923,750179,760604,771097,781839,792732,803649,814849,826196,837591,849197,860736,872626,884492,896608,908742,921101,933545,946295,959170,972089,985236,998453,1011882,1025719,1039566,1053635,1067737,1082189,1096552,1111140,1125813,1140656,1155565,1170809,1185968
1,1,1,1,1,4,5,8,9,9,11,11,17,21,27,32,34,35,40,44,49,59,69,76,78,89,100,114,124,133,143,151,159,167,175,187,196,208,217,229,234,241,247,258,266,273,275,283,290,295,301,305,310,321,327,328,331,339,345,353,356,366,375,379,386,391,398,406,411,424,432,440,454,466,479,488,497,506,523,538,554,569,583,598,615,634,654,667,685,700,711,739,758,787,811,829,848,874,904,918,941,972,1013,1049,1081,1115,1140,1172,1204,1242,1289,1333,1374,1408,1452,1519,1560,1617,1684,1741,1807,1862,1917,1975,2020,2078,2140,2199,2270,2341,2394,2475,2544,2612,2687,2745,2804,2881,2942,3014,3082,3150,3219,3303,3395,3472,3547,3630,3707,3784,3863,3963,4057,4123,4207,4295,4395,4489,4593,4674,4766,4864,4947,5053,5144,5252,5349,5427,5535,5645,5735,5821,5908,6017,6107,6206,6301,6406,6506,6632,6745,6847,6940,7026,7140,7232,7348,7443,7563,7680,7803,7936,8068,8212,8339,8460,8571,8709,8854,8993,9145,9307,9470,9618,9765,9931,10090,10271,10447,10600,10784,10935,11111,11264,11462,11639,11829,12007,12176,12342,12515,12680,12844,12997,13162,13353,13515,13714,13914,14103,14267,14433,14603,14771,14981,15161,15369,15560,15773,16012,16226,16451,16694,16912,17141,17364,17620,17882,18118,18369,18620,18881,19122,19406,19696,19996,20259,20568,20863,21173,21489,21826,22162,22516,22866,23237,23626,24002,24408,24833,25261,25666,26096,26627,27099,27608,28099,28612,29111,29647,30200,30766,31302,31889,32498,33076,33647,34287,34911,35580,36191,36858,37564,38206,38842,39461,40110,40774,41425,42087,42745,43475,44182,44911,45640,46360,47090,47844,48608,49319,50085,50867,51608,52427,53224,53995,54751,55558,56380,57206,58031,58886,59737,60592,61534,62402,63297,64146,65047,65988,66928,67858,68821,69828,70857,71871,72928,74004,75124,76153,77262,78395,79531,80659,81872,83085,84338,85556,86792,88084,89342,90628,91899,93200,94510,95924,97354,98853,100366,101890,103411,104992,106545,108106,109763,111379,112968,114683,116311,118021,119729,121437,123213,125018,126748,128641,130505,132398,134233,136150,138111,140128,142165,144225,146385,148536,150616,152713,154857,157113,159255,161552,163846,166164,168631,171173,173619,176083,178656,181213,183860,186500,189213,191967,194736,197568,200435,203344,206208,209119,212115,215169,218248,221333,224397,227539,230732,233942,237274,240567,244010,247421,250835,254178,257638,261112,264630,268297,271870,275576,279491,283354,287280,291304,295271,299335,303540,307693,311936,316090,320458,324833,329289,333875,338413,343123,347934,352776,357607,362588,367473,372540,377746,383091,388420,393777,399146,404653,410388,416104,421774,427479,433216,439090,445033,451159,457277,463544,469710,476232,482715,489411,496067,502739,509486,516353,523258,530180,537199,544472,551829,559096,566414,573674,581301,589012,596885,604685,612564,620622,628941,637094,645482,654009,662668,671402,680229
1,1,1,1,3,3,4,5,6,7,8,8,8,9,9,12,14,15,15,17,17,20,26,31,34,42,49,55,63,67,71,82,87,99,111,118,125,136,143,150,154,160,173,181,190,196,203,214,218,232,245,248,260,276,286,301,307,318,329,342,359,379,397,413,433,449,474,491,508,527,543,557,587,611,633,654,675,695,715,746,772,804,831,862,888,908,932,952,973,997,1023,1045,1073,1087,1108,1127,1154,1179,1201,1228,1246,1270,1283,1299,1323,1341,1358,1387,1419,1451,1478,1506,1534,1564,1599,1632,1662,1697,1735,1764,1787,1814,1856,1901,1945,1990,2033,2081,2119,2157,2206,2250,2285,2322,2358,2389,2433,2470,2522,2567,2599,2651,2702,2748,2797,2833,2885,2939,2998,3059,3121,3173,3227,3286,3351,3418,3473,3524,3593,3660,3726,3794,3844,3914,3971,4058,4134,4206,4272,4339,4400,4462,4544,4621,4711,4803,4889,4992,5097,5201,5286,5385,5493,5617,5755,5876,5998,6122,6247,6389,6531,6661,6798,6947,7095,7240,7385,7533,7690,7827,7971,8113,8264,8419,8552,8700,8841,8982,9124,9276,9417,9553,9693,9851,10025,10183,10329,10500,10647,10816,10947,11101,11256,11409,11564,11722,11875,12021,12166,12322,12489,12662,12813,12985,13146,13289,13493,13677,13846,14020,14216,14412,14637,14831,15037,15251,15474,15726,15962,16187,16439,16682,16932,17178,17395,17670,17931,18211,18489,18744,19005,19300,19604,19901,20201,20479,20806,21109,21412,21756,22060,22379,22708,23025,23340,23684,24002,24323,24639,24993,25352,25740,26120,26495,26905,27275,27664,28051,28466,28883,29322,29776,30237,30716,31219,31707,32188,32662,33149,33610,34126,34642,35137,35603,36111,36670,37256,37833,38411,39029,39591,40206,40811,41427,42049,42714,43366,44133,44866,45650,46443,47206,47980,48802,49628,50482,51309,52158,53082,53933,54882,55800,56757,57670,58651,59686,60735,61763,62801,63877,64964,66086,67212,68308,69436,70559,71690,72848,74024,75201,76358,77529,78705,79941,81181,82429,83736,85040,86452,87804,89142,90514,91883,93381,94810,96290,97779,99217,100695,102257,103736,105296,106845,108442,110128,111739,113345,115067,116795,118521,120319,122102,124011,125873,127845,129706,131698,133750,135819,137927,140020,142255,144478,146757,149115,151484,153931,156458,159013,161504,164066,166736,169387,172070,174859,177645,180422,183217,186232,189188,192143,195184,198391,201482,204642,207885,211211,214636,218063,221585,225198,228830,232508,236247,240059,243916,247944,251895,255930,259932,264111,268216,272493,276845,281193,285655,290089,294658,299438,304168,309014,313841,318815,323877,329098,334348,339442,344701,350057,355579,361194,366836,372685,378563,384459,390395,396513,402784,409062,415543,421891,428225,434881,441416,448241,454906,461860,468736,475757,482836,489974,497369,504691,511964,519639,527400,535152,543004,550920,559169,567357,575542,583965,592453,601236,609937,618765,627647,636742,645845,655139,664373,673785,683413,693069,702884,712784
1,1,1,1,1,1,3,7,12,13,18,22,25,29,35,37,46,57,64,69,76,85,94,99,114,124,141,157,164,176,196,217,236,252,273,290,304,321,339,358,373,390,407,428,447,465,484,504,528,546,562,585,604,621,641,651,679,703,726,748,774,790,813,837,853,874,901,919,938,964,990,1012,1032,1058,1081,1110,1140,1167,1196,1230,1258,1294,1322,1355,1374,1391,1411,1436,1468,1500,1538,1560,1583,1612,1631,1656,1673,1690,1706,1728,1746,1768,1785,1809,1822,1841,1856,1877,1902,1923,1949,1976,2011,2030,2068,2093,2119,2149,2161,2183,2211,2232,2266,2302,2330,2352,2389,2412,2445,2482,2514,2543,2566,2598,2627,2666,2689,2724,2752,2790,2820,2878,2913,2947,2985,3022,3060,3111,3142,3184,3226,3266,3306,3346,3384,3431,3470,3511,3537,3577,3617,3652,3688,3723,3756,3787,3813,3835,3859,3897,3928,3956,3978,4002,4027,4053,4069,4096,4116,4135,4153,4172,4184,4214,4239,4269,4294,4318,4349,4369,4393,4420,4447,4465,4489,4515,4543,4576,4600,4633,4659,4688,4721,4756,4788,4822,4853,4898,4938,4977,5005,5042,5087,5124,5167,5208,5243,5280,5316,5354,5403,5449,5493,5532,5573,5606,5652,5703,5743,5788,5834,5884,5936,5980,6030,6105,6159,6219,6292,6354,6401,6473,6535,6605,6671,6737,6803,6882,6961,7041,7116,7204,7278,7356,7455,7539,7631,7731,7838,7936,8023,8128,8222,8334,8449,8556,8661,8764,8865,8984,9108,9226,9337,9463,9575,9693,9805,9920,10024,10130,10252,10372,10513,10638,10771,10899,11033,11146,11280,11408,11514,11621,11744,11874,12031,12198,12335,12480,12640,12780,12922,13075,13263,13419,13566,13734,13918,14112,14269,14442,14615,14785,14989,15158,15335,15504,15670,15875,16062,16253,16443,16626,16816,16996,17202,17368,17569,17759,17938,18133,18328,18520,18734,18934,19154,19340,19550,19774,20017,20244,20483,20716,20943,21176,21413,21648,21888,22165,22440,22711,22978,23255,23516,23787,24057,24364,24716,25016,25309,25616,25937,26280,26611,26937,27242,27573,27906,28223,28596,28973,29319,29726,30107,30488,30889,31299,31690,32117,32528,33006,33439,33861,34339,34809,35290,35790,36274,36774,37250,37755,38254,38747,39326,39852,40371,40892,41465,42000,42572,43133,43730,44303,44898,45492,46041,46648,47244,47882,48528,49135,49769,50376,51054,51676,52338,53020,53680,54378,55116,55828,56540,57311,58103,58882,59601,60389,61138,61922,62608,63394,64191,64986,65795,66631,67442,68295,69156,69997,70873,71827,72748,73665,74577,75467,76433,77457,78497,79453,80515,81552,82618,83654,84668,85687,86778,87873,88979,90096,91133,92218,93383,94446,95579,96669,97844,98964,100236,101415,102660,103892,105118,106315,107595,108914,110217,111534,112899,114299,115686,117100,118575,120025,121562,123044,124560,126075,127627,129180,130707,132321,133934,135604,137250,138934,140729,142590,144363
1,1,1,2,4,5,7,7,7,7,9,10,13,15,17,22,26,30,38,39,45,56,61,71,77,88,93,102,108,121,125,133,146,156,165,179,185,196,199,210,217,225,233,241,246,256,268,281,290,300,309,328,340,355,369,387,406,417,425,439,460,478,495,509,531,561,581,597,621,649,671,696,719,754,794,822,841,868,891,924,957,989,1018,1043,1074,1103,1142,1171,1196,1226,1251,1282,1312,1330,1365,1390,1417,1445,1476,1493,1526,1549,1587,1628,1657,1690,1723,1769,1814,1857,1887,1919,1958,2012,2064,2117,2167,2218,2273,2321,2374,2437,2504,2564,2634,2711,2778,2853,2933,3017,3088,3158,3239,3304,3387,3466,3550,3628,3697,3795,3863,3940,4022,4114,4197,4270,4332,4413,4488,4549,4622,4710,4800,4870,4971,5062,5165,5257,5339,5435,5520,5617,5721,5824,5927,6017,6147,6254,6384,6508,6608,6721,6839,6951,7078,7210,7348,7477,7611,7726,7864,7988,8117,8250,8395,8545,8712,8878,9022,9172,9335,9493,9669,9844,10017,10189,10384,10564,10782,10984,11182,11384,11619,11875,12075,12316,12546,12787,13035,13269,13525,13789,14059,14324,14582,14841,15095,15396,15704,15970,16273,16591,16893,17225,17511,17807,18100,18416,18718,19044,19388,19719,20005,20322,20655,20974,21326,21681,22003,22356,22682,23048,23390,23737,24039,24380,24701,25036,25350,25693,26014,26365,26714,27044,27378,27734,28112,28471,28875,29301,29706,30094,30515,30970,31445,31914,32444,32949,33385,33851,34346,34860,35411,35919,36487,37015,37562,38082,38618,39192,39753,40349,40895,41518,42120,42699,43277,43871,44499,45110,45699,46288,46928,47629,48277,48931,49569,50233,50879,51514,52188,52868,53549,54250,54969,55690,56422,57097,57861,58596,59403,60192,60946,61711,62464,63230,64052,64821,65649,66503,67329,68159,69003,69862,70758,71632,72543,73539,74520,75460,76422,77351,78304,79245,80248,81278,82295,83311,84339,85385,86475,87565,88622,89702,90853,91965,93094,94292,95466,96613,97829,99040,100221,101518,102835,104118,105387,106726,108229,109597,110984,112414,113846,115330,116800,118365,119858,121345,122966,124615,126236,127867,129542,131223,132935,134627,136281,137942,139732,141495,143299,145100,146954,148822,150721,152630,154587,156464,158491,160478,162488,164549,166639,168765,170904,173084,175245,177462,179610,181919,184258,186616,189005,191451,193859,196341,198980,201608,204274,206855,209502,212290,215151,218009,220944,223818,226781,229790,232766,235840,238963,242140,245366,248712,252119,255536,258991,262544,266055,269662,273405,277131,280909,284759,288676,292653,296720,300771,304915,309011,313290,317608,322053,326545,331205,335818,340352,345141,349975,354865,359906,364880,370095,375265,380534,385795,391048,396393,401796,407173,412829,418561,424189,430026,435707,441542,447465,453486,459639,465868,472104,478340,484812,491324,497944,504773,511773,518754,525982,533211,540598,548097,555683,563655,571470,579420,587532,595905,604171,612742,621252,630168,639065,648088,657140,666374,675654
1,1,1,3,5,7,7,7,9,9,12,14,14,18,19,21,22,23,23,26,27,34,36,43,48,53,60,67,75,77,85,99,109,122,135,144,156,173,186,196,208,222,231,245,259,276,297,317,328,343,356,367,380,397,404,418,432,446,458,467,477,491,505,517,526,546,559,572,583,600,610,619,630,647,664,682,695,713,727,750,772,787,810,834,853,880,901,928,955,975,987,1002,1020,1037,1067,1085,1103,1135,1150,1168,1194,1209,1241,1264,1289,1313,1344,1369,1398,1423,1452,1488,1518,1545,1579,1604,1643,1667,1694,1729,1756,1784,1833,1860,1886,1923,1961,2001,2032,2067,2113,2160,2187,2222,2266,2303,2340,2377,2411,2465,2501,2548,2590,2640,2678,2725,2764,2807,2842,2891,2941,2997,3044,3103,3174,3230,3287,3342,3403,3462,3524,3611,3678,3754,3827,3905,3980,4052,4132,4201,4255,4345,4436,4511,4590,4674,4768,4849,4950,5029,5108,5200,5300,5379,5481,5555,5650,5748,5853,5964,6070,6164,6283,6377,6488,6604,6721,6839,6961,7077,7183,7296,7427,7570,7710,7853,7980,8096,8246,8369,8495,8614,8732,8840,8946,9090,9218,9331,9451,9558,9676,9793,9927,10040,10153,10278,10410,10527,10653,10780,10939,11073,11212,11373,11516,11664,11794,11917,12070,12211,12359,12500,12635,12798,12953,13105,13248,13413,13583,13768,13928,14085,14267,14449,14627,14801,14969,15163,15352,15539,15747,15953,16169,16391,16634,16875,17083,17300,17539,17748,18016,18311,18591,18841,19129,19426,19708,19987,20296,20600,20911,21217,21551,21896,22203,22554,22932,23305,23656,24023,24375,24745,25125,25539,25916,26305,26724,27093,27485,27876,28310,28729,29136,29564,30012,30439,30850,31297,31788,32282,32748,33236,33751,34218,34745,35273,35805,36353,36963,37521,38096,38713,39326,39997,40722,41404,42087,42787,43539,44255,45026,45836,46570,47365,48147,48975,49852,50714,51562,52382,53254,54121,54992,55880,56731,57646,58578,59536,60463,61387,62324,63299,64277,65269,66284,67392,68452,69569,70621,71688,72912,74043,75274,76488,77689,78922,80190,81451,82723,84038,85357,86720,88054,89455,90856,92349,93751,95302,96791,98362,99980,101510,103194,104820,106379,107915,109611,111345,113085,114872,116678,118471,120348,122149,124031,126003,127942,130011,131962,133995,136022,138147,140270,142446,144657,146876,149154,151490,153940,156373,158845,161343,163915,166512,169037,171656,174297,177090,179848,182649,185581,188439,191200,194062,196966,199929,202974,206113,209262,212502,215559,218707,221915,225161,228471,231807,235095,238499,241926,245382,248867,252496,256032,259695,263436,267139,271008,274789,278729,282555,286561,290637,294758,298915,303035,307212,311471,315735,320005,324448,328948,333596,338301,342985,347737,352471,357359,362175,367046,371946,376982,381983,387054,392345,397550,402829,408129,413534,419184,424816,430355,436277,442143,447979,454019,460134,466318,472581,478897,485366,491949,498664,505317,512280,519003,525810,532857
1,1,1,1,1,1,2,2,4,5,7,9,10,10,13,16,17,20,27,31,36,39,46,50,60,69,75,78,88,102,111,120,125,133,140,151,161,168,176,183,189,198,206,210,218,225,232,236,247,250,262,268,279,289,293,304,323,332,346,354,365,377,389,398,414,423,438,448,460,473,485,496,504,520,532,543,564,574,584,594,605,616,627,638,651,655,667,675,686,698,707,726,742,760,780,794,807,819,833,852,872,894,918,937,953,973,992,1012,1032,1047,1070,1101,1144,1171,1199,1216,1241,1267,1300,1332,1360,1390,1431,1463,1490,1530,1563,1583,1612,1643,1668,1691,1720,1743,1775,1811,1840,1864,1886,1918,1938,1958,1986,2011,2032,2060,2087,2108,2141,2166,2189,2212,2234,2263,2280,2316,2336,2358,2388,2420,2449,2481,2514,2544,2572,2596,2626,2661,2702,2747,2788,2820,2856,2891,2936,2969,3000,3034,3082,3116,3158,3201,3241,3278,3334,3383,3418,3470,3515,3563,3607,3660,3719,3780,3820,3871,3921,4002,4088,4161,4222,4290,4346,4423,4496,4563,4629,4701,4765,4850,4925,5008,5087,5169,5255,5342,5432,5529,5595,5703,5803,5901,6007,6103,6198,6308,6432,6535,6639,6748,6857,6995,7119,7238,7381,7505,7668,7802,7954,8108,8251,8425,8566,8754,8931,9126,9303,9497,9688,9883,10092,10280,10497,10712,10886,11091,11280,11468,11654,11861,12086,12309,12532,12779,13009,13232,13470,13678,13914,14145,14402,14633,14901,15180,15454,15742,16018,16310,16610,16918,17208,17512,17796,18115,18481,18815,19172,19552,19926,20299,20680,21061,21506,21899,22325,22731,23160,23599,24047,24504,24995,25485,25936,26393,26863,27366,27827,28323,28830,29410,29962,30512,31071,31637,32212,32762,33367,33949,34616,35337,36010,36685,37313,38061,38775,39555,40312,41083,41843,42658,43435,44204,45079,45919,46862,47770,48678,49668,50611,51562,52602,53594,54529,55570,56620,57721,58807,59897,60973,62185,63383,64563,65745,66936,68190,69481,70786,72073,73388,74739,76061,77448,78841,80215,81630,83032,84498,86035,87533,89059,90701,92307,93875,95569,97157,98788,100483,102144,103930,105697,107506,109223,111041,112864,114780,116680,118684,120724,122752,124739,126985,129108,131316,133544,135683,137895,140205,142453,144755,147114,149545,151986,154497,156938,159420,162070,164672,167385,170044,172804,175613,178400,181189,184038,186909,189833,192896,195918,199052,202035,204966,208088,211267,214465,217731,220858,224177,227451,230786,234189,237560,241091,244572,248083,251698,255257,258924,262581,266294,270105,273938,277897,281852,285841,289914,293984,298282,302440,306577,310929,315259,319801,324192,328664,333190,337990,342731,347511,352430,357368,362412,367694,372937,378217,383578,388829,394234,399837,405486,411266,416982,422769,428760,434801,440960,447123,453228,459503,466108,472425,478946,485508,492142,498790,505519,512411,519267,526388,533503,540713,547901,555298,562691,570158,577686,585314,593064
1,1,2,2,4,5,7,10,10,12,16,20,23,26,29,34,38,40,40,43,46,52,62,64,72,84,88,100,108,119,125,136,143,154,162,177,191,206,226,246,262,283,296,311,319,331,357,368,376,395,408,425,448,462,472,487,501,517,528,543,552,572,587,608,632,651,664,685,705,723,744,765,784,812,832,850,874,904,929,958,985,1010,1047,1072,1097,1131,1156,1191,1227,1263,1304,1347,1385,1420,1457,1494,1544,1588,1623,1660,1704,1752,1790,1832,1885,1938,1986,2044,2102,2168,2216,2285,2347,2411,2485,2555,2632,2718,2792,2858,2935,3014,3089,3161,3248,3333,3410,3491,3578,3673,3770,3860,3968,4086,4208,4330,4428,4539,4663,4775,4897,5032,5147,5270,5411,5542,5684,5825,5963,6109,6246,6437,6602,6762,6921,7091,7243,7415,7599,7804,7996,8186,8385,8575,8748,8937,9140,9349,9564,9765,9978,10215,10428,10658,10900,11106,11335,11537,11767,12007,12231,12451,12675,12913,13190,13427,13656,13928,14161,14429,14665,14940,15208,15503,15768,16057,16352,16626,16926,17224,17521,17790,18078,18377,18704,19026,19322,19646,19957,20265,20569,20893,21178,21483,21802,22145,22469,22760,23072,23357,23646,23967,24264,24597,24927,25263,25578,25919,26222,26504,26829,27089,27406,27721,28049,28406,28714,29039,29390,29704,30063,30407,30752,31136,31515,31876,32244,32646,33010,33397,33793,34219,34621,35043,35457,35869,36300,36744,37175,37642,38080,38590,39074,39563,40049,40607,41098,41621,42165,42724,43328,43928,44475,45081,45670,46283,46933,47611,48225,48873,49516,50209,50864,51516,52220,52893,53622,54344,55069,55807,56542,57260,57993,58719,59441,60181,60993,61805,62590,63456,64333,65232,66098,67016,67941,68828,69758,70737,71742,72714,73742,74816,75883,76901,77964,78999,80088,81222,82353,83552,84771,85961,87139,88328,89503,90784,92088,93392,94685,96032,97458,98762,100038,101440,102855,104335,105706,107167,108630,110071,111533,113049,114574,116212,117837,119471,121088,122796,124514,126196,127930,129671,131501,133343,135214,137144,139106,141142,143135,145045,147245,149281,151345,153499,155701,157877,160151,162367,164658,166959,169364,171695,174162,176671,179121,181692,184211,186772,189388,192065,194712,197457,200234,203091,205923,208790,211787,214725,217633,220723,223907,226996,230203,233392,236664,239950,243184,246613,250056,253497,256966,260449,263988,267617,271169,274928,278692,282519,286382,290289,294277,298328,302413,306495,310626,314815,319166,323422,327799,332284,336832,341315,345959,350753,355600,360393,365276,370250,375193,380308,385481,390713,396111,401531,406914,412400,418018,423621,429254,435081,441025,447012,452952,459002,465220,471487,477795,484269,490764,497377,503968,510752,517528,524580,531695,538838,546017,553429,560755,568354,576080,583711,591635,599686,607799,616091,624379,632901,641415,650155,658795,667902,676990,686024,695254,704533,713886,723516,733254,743009,752872,762732,772899,783032,793460,803866,814401,825077,835815,846772,857691,868942,880262,891701,902968,914752,926372
1,1,1,3,5,6,6,9,13,15,16,18,20,24,26,30,32,38,45,55,62,70,73,77,82,85,93,102,111,118,128,135,141,152,161,172,194,207,218,229,249,264,276,291,308,324,346,362,387,401,420,436,458,487,516,540,569,606,631,660,689,720,747,784,817,841,875,923,967,1008,1041,1090,1134,1182,1224,1262,1309,1349,1403,1447,1503,1557,1601,1655,1695,1746,1803,1853,1911,1972,2045,2107,2185,2256,2327,2387,2461,2534,2619,2694,2762,2832,2891,2965,3043,3121,3185,3261,3336,3412,3485,3569,3657,3732,3815,3886,3964,4056,4145,4243,4345,4430,4535,4629,4728,4822,4923,5014,5118,5219,5334,5456,5568,5688,5805,5936,6049,6173,6299,6442,6594,6747,6876,7027,7158,7300,7422,7563,7720,7887,8017,8159,8306,8490,8690,8850,9026,9199,9401,9593,9781,9964,10146,10348,10549,10727,10927,11122,11305,11505,11681,11874,12074,12266,12444,12608,12798,12991,13174,13358,13562,13753,13950,14122,14331,14547,14720,14899,15117,15338,15525,15726,15944,16167,16364,16599,16823,17060,17271,17502,17720,17928,18168,18420,18630,18871,19120,19330,19589,19823,20066,20303,20592,20881,21135,21424,21687,21958,22232,22556,22859,23167,23468,23781,24127,24445,24765,25093,25433,25762,26132,26479,26827,27191,27548,27917,28286,28612,28955,29350,29730,30092,30463,30850,31244,31628,32054,32455,32830,33234,33664,34071,34466,34935,35347,35756,36241,36684,37134,37600,38118,38585,39118,39636,40185,40711,41267,41869,42396,42959,43514,44119,44757,45454,46055,46645,47261,47907,48567,49214,49928,50603,51313,52068,52784,53563,54410,55186,56013,56863,57762,58642,59499,60399,61315,62187,63145,64060,65034,65988,66981,67982,68976,70022,71047,72097,73188,74296,75385,76469,77577,78739,79920,81102,82244,83465,84756,86020,87406,88762,90174,91592,93015,94531,96023,97515,99034,100605,102184,103828,105521,107164,108882,110643,112394,114191,115930,117737,119604,121499,123449,125308,127281,129240,131244,133268,135288,137436,139602,141690,143832,146026,148247,150493,152672,154993,157357,159713,162106,164579,167137,169643,172281,174995,177714,180418,183167,186018,188936,191786,194678,197606,200669,203739,206883,210115,213423,216725,220161,223568,227013,230423,233900,237372,240936,244610,248328,252063,255718,259516,263290,267133,270978,274920,278907,282930,287037,291159,295240,299395,303497,307699,312017,316377,320784,325181,329592,334087,338723,343374,348135,352887,357669,362626,367578,372412,377484,382684,387940,393202,398485,403867,409375,414844,420423,426115,431978,437768,443595,449689,455713,461963,468217,474551,480841,487289,493646,500224,506892,513617,520416,527297,534284,541395,548571,555807,563092,570428,578166,585648,593341,601077,608919,616754,624788,633020,641408,649955,658332,666899,675428,684235,693173,702365,711528,721050,730403,739809,749476,759208,769050,779030,789117,799400,809861,820417,830893,841438,852259,863144,874222,885250,896530,907911,919562,931030,942841,954689,966963,979293,991791,1004488,1017425,1030486,1043722,1056986,1070529
1,1,1,1,1,1,1,2,4,6,6,7,7,9,12,15,22,26,30,33,35,39,44,47,51,54,56,58,60,65,68,77,84,88,96,105,117,124,132,143,154,160,172,177,187,192,200,206,214,224,232,239,246,254,265,280,288,296,305,313,320,329,341,353,370,379,390,408,422,433,447,458,482,499,516,536,562,573,592,599,624,652,680,702,730,752,790,824,853,874,908,937,978,1033,1077,1122,1158,1211,1258,1289,1325,1369,1396,1425,1463,1504,1549,1585,1625,1672,1716,1756,1808,1857,1921,1964,2019,2085,2135,2215,2291,2368,2444,2520,2601,2667,2733,2816,2906,2980,3074,3176,3274,3363,3469,3576,3684,3798,3908,4010,4126,4241,4357,4472,4614,4743,4887,5030,5149,5281,5446,5583,5751,5900,6076,6251,6413,6587,6774,6980,7142,7328,7534,7734,7926,8127,8314,8524,8718,8931,9125,9337,9549,9742,9947,10153,10370,10573,10750,10962,11157,11372,11580,11805,12041,12283,12532,12758,12979,13221,13470,13716,13943,14172,14438,14680,14950,15214,15469,15758,16057,16315,16579,16862,17163,17431,17700,18033,18358,18703,19001,19329,19657,19969,20271,20631,20970,21293,21613,21974,22279,22622,23016,23412,23827,24234,24636,25035,25456,25902,26323,26731,27146,27550,27968,28381,28855,29288,29767,30198,30670,31116,31575,32061,32522,32988,33500,33999,34482,34953,35463,35981,36449,36945,37462,37960,38511,39079,39619,40164,40732,41290,41875,42424,43001,43559,44085,44628,45132,45660,46265,46824,47387,47964,48517,49141,49724,50300,50912,51469,52099,52737,53364,53939,54582,55197,55825,56452,57185,57887,58638,59399,60179,60976,61778,62505,63336,64165,65089,65947,66879,67825,68774,69718,70653,71666,72654,73649,74649,75700,76791,77872,78975,80053,81155,82246,83395,84554,85693,86902,88108,89325,90488,91726,92973,94272,95560,96811,98127,99449,100813,102198,103514,104887,106264,107678,109098,110591,112009,113563,115040,116585,118113,119724,121377,122944,124549,126222,127911,129632,131432,133206,134926,136806,138607,140439,142350,144329,146194,148085,150062,151953,153957,156015,158094,160165,162280,164458,166609,168667,170832,173019,175216,177431,179703,181969,184330,186584,188910,191382,193850,196267,198604,201086,203608,206173,208851,211480,214145,216827,219530,222235,224976,227795,230729,233599,236502,239323,242306,245398,248470,251575,254727,257878,261061,264341,267654,270991,274373,277772,281348,284925,288522,292226,295870,299724,303648,307546,311521,315530,319674,323898,328089,332407,336751,341092,345602,350307,354962,359648,364374,369275,374377,379304,384377,389482,394644,399978,405261,410633,416184,421788,427400,433174,438987,444996,451141,457211,463433,469779,476092,482507,489218,495868,502571,509500,516414,523403,530414,537684,544975,552414,559886,567502,575238,583160,590958,598837,606765,614737,623002,631332,639523,647610,656025,664727,673390,682220,691083,699925,709028,718135,727344,736768,746490,756062,765720,775578,785390,795479,805657,815760,826183,836804,847430,858284,868992
1,1,1,3,4,4,5,5,5,7,7,8,8,13,15,17,20,22,25,27,31,33,40,44,49,54,60,68,74,78,85,90,95,103,106,115,123,134,144,151,156,162,170,172,180,189,195,204,212,218,227,232,239,243,252,257,259,267,274,280,284,291,298,302,311,320,328,338,352,368,382,393,410,425,438,457,483,505,522,538,556,582,603,631,656,680,706,739,777,802,833,857,880,903,926,961,994,1022,1060,1087,1126,1168,1205,1233,1258,1304,1347,1388,1424,1469,1511,1555,1615,1661,1725,1775,1831,1896,1950,2018,2080,2157,2223,2288,2344,2396,2459,2517,2578,2629,2690,2744,2797,2861,2922,2978,3035,3093,3148,3207,3271,3337,3407,3465,3510,3582,3630,3704,3752,3828,3899,3963,4028,4099,4178,4246,4309,4381,4457,4543,4626,4697,4774,4853,4936,5004,5086,5150,5247,5321,5404,5482,5551,5630,5704,5782,5863,5944,6024,6089,6167,6242,6320,6419,6491,6586,6660,6737,6827,6914,7006,7098,7170,7274,7365,7459,7560,7655,7753,7864,7969,8078,8166,8276,8374,8493,8617,8737,8838,8957,9085,9195,9313,9417,9537,9647,9768,9908,10039,10159,10293,10419,10540,10677,10808,10954,11097,11232,11379,11540,11692,11855,12005,12200,12372,12537,12732,12900,13072,13270,13446,13636,13858,14060,14250,14439,14625,14855,15045,15245,15462,15698,15919,16104,16339,16548,16774,17006,17238,17451,17665,17880,18128,18377,18629,18874,19126,19372,19639,19903,20169,20480,20792,21077,21384,21720,22059,22446,22798,23159,23549,23908,24289,24680,25071,25458,25858,26322,26719,27165,27604,28013,28439,28881,29347,29789,30200,30663,31121,31601,32051,32510,33001,33467,33977,34442,34933,35461,35950,36467,37000,37570,38081,38645,39202,39776,40337,40929,41503,42143,42820,43449,44148,44774,45462,46157,46856,47555,48308,49047,49760,50510,51254,52004,52888,53753,54640,55522,56418,57321,58268,59208,60195,61198,62268,63320,64340,65409,66462,67565,68667,69785,70880,72138,73338,74503,75610,76817,77992,79175,80418,81598,82855,84126,85445,86704,88011,89348,90676,91953,93333,94715,96086,97434,98858,100208,101639,103087,104519,105965,107438,108963,110514,112033,113592,115201,116858,118568,120262,122028,123760,125625,127560,129436,131307,133154,135060,136953,138983,140987,142855,144817,146777,148795,150871,152916,155044,157212,159356,161501,163699,165912,168212,170507,172880,175287,177703,180191,182769,185394,187958,190529,193214,195947,198679,201458,204283,207119,209971,212952,216001,218956,222006,225036,228138,231346,234572,237883,241290,244671,248033,251456,254848,258465,261961,265672,269343,273168,277007,280976,284937,289048,293148,297218,301148,305348,309576,313920,318126,322360,326724,331195,335604,340027,344670,349334,354038,358874,363610,368461,373283,378288,383230,388294,393499,398746,403987,409305,414806,420296,425758,431437,437134,442937,448860,454775,460741,466847,473255,479671,486161,492635,499182,505885,512789,519702,526687
1,1,2,5,5,6,10,15,19,20,23,26,29,37,47,52,56,64,70,77,89,99,108,119,135,149,161,170,179,189,203,217,237,253,272,292,309,330,343,357,373,396,409,432,458,479,503,531,560,582,608,630,657,688,710,734,762,796,828,849,882,902,926,953,980,1006,1032,1066,1099,1133,1165,1190,1228,1261,1293,1323,1352,1384,1418,1446,1475,1503,1546,1589,1627,1661,1697,1751,1783,1818,1860,1899,1933,1987,2035,2078,2116,2158,2204,2250,2299,2349,2395,2458,2506,2569,2628,2680,2737,2794,2856,2931,3008,3076,3150,3218,3286,3355,3421,3471,3542,3610,3678,3743,3809,3882,3962,4041,4131,4213,4290,4379,4456,4540,4616,4682,4776,4863,4966,5065,5177,5270,5367,5465,5584,5695,5808,5932,6067,6188,6307,6440,6585,6717,6852,7018,7154,7278,7449,7593,7727,7879,8019,8162,8305,8443,8574,8719,8877,9019,9176,9327,9474,9632,9778,9940,10099,10256,10377,10515,10667,10825,10990,11155,11312,11476,11648,11826,12031,12197,12389,12583,12779,12956,13181,13390,13599,13798,14022,14222,14437,14675,14907,15142,15383,15606,15826,16067,16291,16531,16754,16992,17225,17462,17705,17963,18206,18448,18694,18971,19236,19500,19798,20062,20371,20679,20971,21297,21615,21897,22219,22582,22872,23217,23578,23935,24266,24606,25025,25404,25784,26168,26548,26996,27376,27821,28253,28725,29204,29667,30118,30590,31079,31558,32027,32547,33083,33587,34124,34638,35169,35709,36272,36866,37421,38035,38655,39307,39964,40655,41322,41966,42661,43316,43988,44711,45450,46170,46883,47637,48387,49209,49996,50750,51504,52274,53130,53944,54737,55513,56367,57206,58086,58915,59824,60744,61632,62596,63545,64475,65368,66315,67225,68166,69173,70206,71232,72292,73329,74328,75364,76497,77547,78598,79665,80783,81934,83098,84231,85427,86623,87818,89062,90372,91715,93020,94288,95647,97036,98407,99961,101367,102826,104344,105931,107579,109188,110833,112517,114139,115968,117763,119651,121480,123315,125210,127161,129284,131309,133347,135491,137616,139795,142030,144286,146511,148844,151199,153436,155915,158340,160769,163240,165675,168262,170819,173417,176111,178847,181490,184174,186997,189752,192530,195275,198075,200941,203750,206677,209537,212423,215395,218362,221364,224371,227324,230383,233460,236543,239803,243041,246241,249615,252856,256315,259725,263145,266738,270334,273908,277503,281204,284901,288726,292524,296407,300344,304262,308281,312255,316300,320446,324613,328796,333084,337432,341841,346130,350491,354952,359332,363836,368413,372944,377672,382278,386967,391667,396530,401254,406177,411112,416086,421215,426437,431827,437225,442648,448066,453718,459331,465150,470892,476724,482485,488463,494498,500682,506868,513189,519580,525988,532579,539253,545955,552786,559786,566738,573775,580837,588077,595208,602471,609818,617236,624935,632495,640256,648086,655996,663981,672217,680350,688584,697012,705608,714303,723047,731977,740797,749851,758994,768326,777462,787072,796650,806446,816354,826418,836511,846767,857159,867761,878544,889253,900062,910839
1,1,1,1,2,3,4,6,7,7,7,8,9,12,14,15,18,18,20,23,24,27,32,35,39,46,53,56,60,63,67,72,79,82,85,100,105,111,117,124,130,143,152,158,172,184,190,201,209,216,239,248,258,267,277,287,294,310,328,345,366,384,396,419,438,451,474,496,516,538,560,584,610,620,639,655,686,708,729,750,762,780,800,822,833,851,870,890,915,941,954,970,1005,1030,1058,1090,1113,1145,1184,1217,1259,1286,1321,1350,1394,1438,1477,1518,1548,1601,1641,1679,1718,1776,1838,1884,1959,2022,2085,2141,2204,2256,2313,2382,2449,2516,2593,2661,2716,2802,2872,2941,3017,3092,3173,3261,3336,3428,3509,3581,3652,3728,3808,3895,3963,4043,4122,4213,4302,4386,4476,4554,4634,4719,4803,4888,4969,5060,5144,5250,5347,5457,5562,5676,5787,5899,5991,6086,6183,6290,6397,6487,6612,6733,6879,6996,7124,7249,7386,7509,7625,7755,7896,8027,8154,8283,8393,8500,8619,8791,8949,9086,9224,9402,9523,9675,9836,10003,10158,10310,10455,10601,10739,10892,11046,11220,11357,11498,11659,11814,11978,12147,12287,12465,12616,12785,12943,13144,13350,13558,13752,13957,14181,14425,14645,14869,15074,15302,15576,15838,16080,16319,16590,16866,17143,17456,17756,18058,18382,18689,19021,19338,19694,20030,20370,20749,21119,21511,21859,22232,22628,23048,23432,23829,24253,24679,25097,25582,26021,26454,26926,27418,27862,28334,28806,29329,29843,30328,30871,31383,31897,32476,32978,33540,34098,34655,35254,35831,36429,37069,37656,38325,38905,39570,40155,40758,41344,41973,42686,43334,44026,44699,45367,46082,46787,47514,48205,48964,49681,50462,51223,52004,52784,53595,54416,55203,56056,56926,57760,58594,59422,60303,61236,62150,63097,64043,64962,65928,66844,67803,68769,69810,70824,71821,72823,73835,74915,76020,77146,78288,79476,80659,81827,82983,84170,85394,86585,87813,88966,90181,91417,92685,93969,95284,96630,98004,99359,100720,102051,103489,104931,106406,107834,109288,110758,112240,113791,115366,116907,118478,120139,121772,123443,125243,126966,128715,130405,132270,134065,135918,137722,139595,141562,143539,145515,147521,149537,151610,153716,155883,157980,160232,162557,164848,167091,169408,171804,174186,176668,179137,181581,184193,186776,189344,191807,194418,197073,199699,202313,204998,207729,210371,213066,215892,218707,221588,224383,227318,230207,233153,236263,239441,242621,245872,249126,252507,255904,259375,262887,266334,270007,273591,277288,280997,284916,288790,292660,296676,300817,304936,309119,313294,317626,321971,326374,330873,335380,340044,344777,349521,354302,359093,364014,369062,374175,379442,384810,390071,395500,401007,406534,412151,417948,423841,429774,435871,441899,448105,454304,460561,466889,473470,479915,486542,493316,500128,507203,514282,521222,528379,535652,543199,550746,558374,565945,573709,581541,589594,597594,605709,614113,622618,630979,639494,648058,656801,665749,674791,683817,693177,702558,712162,721862,731461,741270,751092,760884
1,1,1,1,1,3,6,7,11,11,12,15,19,24,30,38,46,51,55,61,71,78,87,100,121,132,144,154,166,182,202,224,246,268,296,314,330,350,366,389,408,435,453,468,486,506,525,551,574,603,626,658,683,712,735,763,781,814,852,888,919,954,983,1020,1054,1083,1118,1152,1183,1214,1236,1274,1305,1332,1370,1400,1437,1461,1498,1529,1562,1585,1605,1646,1678,1704,1741,1776,1823,1872,1919,1965,2008,2073,2118,2173,2232,2297,2356,2413,2480,2556,2614,2683,2740,2794,2884,2946,3019,3078,3133,3183,3253,3305,3401,3459,3515,3580,3644,3706,3784,3848,3910,3979,4040,4117,4206,4287,4371,4446,4532,4637,4720,4795,4866,4958,5049,5145,5223,5317,5405,5492,5586,5691,5806,5920,6021,6143,6241,6341,6436,6552,6670,6762,6894,7027,7162,7281,7409,7558,7718,7849,8018,8185,8334,8508,8664,8855,9035,9243,9414,9613,9807,10008,10220,10413,10620,10869,11091,11333,11559,11774,11993,12209,12450,12648,12869,13087,13317,13549,13777,14020,14248,14481,14722,14969,15219,15475,15711,15985,16259,16509,16824,17106,17388,17675,17979,18307,18608,18912,19209,19519,19846,20165,20507,20856,21230,21648,22013,22385,22702,23095,23469,23834,24211,24647,25040,25465,25866,26298,26687,27098,27486,27931,28355,28789,29206,29622,30083,30524,30986,31489,31978,32436,32908,33429,33964,34476,34965,35489,36010,36526,37079,37609,38167,38746,39327,39892,40472,41076,41719,42393,43045,43689,44396,45059,45716,46418,47123,47875,48589,49295,50070,50873,51666,52401,53179,53934,54749,55609,56409,57202,58050,58910,59829,60738,61612,62505,63472,64363,65319,66250,67169,68171,69145,70117,71147,72135,73091,74179,75276,76336,77386,78460,79564,80741,81887,83077,84282,85474,86683,87925,89136,90367,91581,92962,94299,95722,97134,98607,100050,101573,103092,104680,106234,107827,109460,111173,112883,114708,116476,118337,120202,122113,124119,126201,128270,130328,132470,134651,136792,139074,141420,143718,146087,148455,150864,153318,155813,158403,161070,163722,166386,169043,171906,174680,177655,180590,183584,186611,189674,192790,195977,199167,202414,205819,209192,212725,216163,219796,223497,227128,230790,234576,238394,242341,246351,250447,254626,258759,263039,267339,271697,276120,280651,285097,289809,294534,299418,304236,308991,313943,318910,323988,329065,334040,339339,344684,350166,355822,361559,367295,372902,378866,384805,390803,396996,403224,409717,416120,422611,429163,435920,442808,449715,456700,463741,470818,478052,485328,492854,500488,508091,515806,523739,531894,539969,548066,556498,564994,573820,582576,591438,600503,609682,619006,628445,637825,647689,657713,667692,677846,687833,698080,708653,719155,730033,740986,751954,763101,774373,785746,797269,808971,820838,832845,844816,857218,869454,882052,894798,907395,920467,933421,946909,960301,974069,988044,1002029,1016059,1030133,1044443,1058834,1073496,1088264,1103088,1118115,1133191,1148441,1163947,1179745,1195686,1211568,1227661,1243839,1260056,1276514,1293213,1309902,1327153,1344773,1362204,1380182,1397926,1415945,1434061,1452370
1,1,1,1,1,1,3,5,7,8,9,11,13,17,18,26,37,41,48,54,55,65,71,78,90,99,111,121,133,136,145,153,164,178,184,191,198,203,211,222,231,236,240,253,260,267,273,278,289,302,308,316,329,344,358,370,386,397,414,437,449,471,491,515,544,569,587,614,650,679,709,747,774,815,850,892,928,976,1031,1083,1127,1182,1224,1274,1307,1341,1385,1430,1474,1523,1567,1606,1654,1697,1727,1765,1809,1867,1912,1947,1989,2045,2088,2132,2184,2225,2280,2332,2385,2445,2506,2553,2604,2679,2745,2805,2868,2933,3030,3112,3187,3288,3382,3465,3561,3647,3760,3848,3964,4076,4198,4310,4424,4551,4659,4794,4946,5057,5200,5339,5479,5620,5764,5924,6060,6196,6349,6483,6647,6804,6971,7113,7267,7413,7551,7738,7902,8075,8233,8406,8561,8732,8925,9094,9289,9497,9661,9829,10030,10235,10429,10626,10850,11080,11314,11525,11762,11983,12230,12464,12697,12939,13219,13497,13769,14012,14283,14538,14823,15104,15398,15679,15936,16204,16465,16746,17034,17305,17570,17890,18190,18502,18797,19079,19359,19640,19928,20228,20524,20825,21149,21418,21728,22031,22382,22687,22982,23261,23568,23882,24168,24508,24839,25174,25526,25872,26204,26573,26947,27320,27670,28074,28440,28846,29243,29657,30100,30527,30956,31399,31856,32323,32793,33262,33745,34230,34693,35221,35683,36126,36656,37192,37741,38301,38833,39438,40013,40612,41227,41804,42418,43004,43694,44347,45011,45662,46339,47015,47725,48421,49132,49839,50599,51337,52072,52837,53624,54332,55107,55918,56675,57518,58278,59122,59947,60815,61625,62428,63306,64152,64974,65867,66797,67723,68659,69632,70604,71563,72496,73453,74439,75446,76486,77548,78644,79731,80851,81952,83043,84158,85322,86497,87654,88892,90133,91453,92728,93985,95330,96644,97938,99267,100611,102028,103395,104845,106254,107720,109160,110742,112244,113843,115410,117087,118678,120259,121851,123508,125187,126919,128697,130407,132139,133868,135806,137660,139603,141568,143433,145364,147368,149355,151354,153407,155440,157551,159714,161923,164118,166389,168626,170907,173171,175499,177922,180358,182858,185315,187898,190457,193114,195724,198443,201319,204252,207220,210118,213241,216280,219411,222544,225779,229098,232360,235797,239180,242677,246254,249864,253502,257287,261022,264879,268660,272694,276742,280761,284840,288984,293186,297464,301729,306239,310695,315229,319810,324428,329234,334209,339096,344064,349202,354364,359633,364909,370134,375536,381059,386540,392129,397913,403759,409744,415817,421914,428233,434561,441143,447648,454297,461065,467785,474837,481753,488862,495931,503013,510274,517544,525043,532784,540511,548315,556229,564371,572447,580659,588973,597312,605744,614306,623114,631966,640863,649821,658777,667880,677130,686497,695954,705524,715295,725054,734895,744762,754859,765175,775446,785736,796048,806556,817126,827925,838695,849818,860972,872347,883772,895460,907246,919149,931128,943317,955592,967864,980553,993115,1005998,1019032,1032312,1045635,1059253,1072898,1086983,1101195,1115364,1129698
1,1,2,3,4,5,6,8,10,11,17,19,24,26,31,35,39,49,59,69,74,89,102,117,131,149,158,170,189,203,225,240,272,296,313,330,359,385,412,440,462,482,506,534,552,582,611,635,668,703,731,767,797,830,856,902,943,973,1018,1060,1095,1139,1176,1213,1245,1294,1334,1397,1443,1494,1536,1607,1656,1705,1748,1800,1845,1910,1966,2019,2072,2145,2195,2246,2314,2372,2429,2474,2525,2585,2660,2725,2781,2846,2921,2983,3049,3115,3191,3268,3359,3436,3513,3587,3662,3746,3825,3903,3982,4087,4179,4264,4366,4449,4545,4636,4740,4839,4923,5043,5165,5281,5396,5517,5628,5737,5875,6011,6132,6270,6403,6529,6649,6782,6928,7050,7182,7302,7412,7526,7664,7807,7954,8083,8209,8339,8511,8659,8781,8938,9074,9213,9373,9524,9686,9847,10032,10203,10371,10550,10706,10896,11107,11261,11458,11638,11791,11969,12156,12353,12539,12740,12967,13165,13362,13563,13802,14053,14275,14508,14759,15017,15239,15529,15823,16110,16411,16688,16953,17246,17553,17877,18185,18537,18865,19173,19508,19864,20209,20558,20914,21282,21666,22029,22432,22810,23191,23588,23985,24411,24851,25276,25718,26156,26636,27085,27591,28101,28631,29181,29751,30378,30961,31551,32126,32729,33347,34011,34699,35342,35982,36638,37339,38048,38763,39515,40229,40984,41742,42531,43368,44166,44965,45787,46637,47495,48311,49187,50050,50960,51863,52746,53673,54553,55462,56401,57362,58372,59329,60334,61377,62414,63422,64437,65490,66520,67590,68645,69722,70814,71893,73032,74163,75302,76417,77554,78778,80028,81295,82556,83790,85069,86320,87631,88924,90283,91699,93087,94552,96017,97560,99136,100640,102269,103851,105488,107097,108780,110525,112224,113971,115725,117535,119338,121185,123039,124941,126874,128811,130807,132846,134868,136869,138938,141016,143074,145143,147209,149389,151558,153743,155920,158089,160339,162604,164817,167051,169287,171518,173767,176005,178296,180664,183073,185467,187860,190296,192698,195147,197675,200165,202800,205410,208059,210898,213732,216540,219491,222373,225300,228303,231473,234583,237807,241069,244343,247673,251036,254466,258019,261584,265132,268766,272502,276420,280346,284294,288111,292104,296028,300066,304187,308475,312738,316901,321285,325667,330041,334621,339194,343895,348549,353340,358024,362939,367940,372965,377898,383202,388361,393689,399157,404704,410219,415621,421344,427066,432815,438669,444692,450751,456783,463087,469282,475532,481952,488584,495280,502010,508742,515552,522516,529702,536958,544253,551732,559362,566958,574683,582396,590313,598246,606315,614640,622864,631325,639760,648140,656985,665737,674773,683620,692701,701886,711098,720547,730173,739805,749816,759788,769882,780040,790366,801089,811634,822630,833517,844346,855667,866836,878322,890118,901845,913832,925933,938024,950264,962925,975659,988248,1001266,1014447,1027851,1041165,1054851,1068543,1082421,1096412,1110532,1124806,1139193,1153642,1168304,1183133,1198158,1213330,1228665,1244177,1259808,1275459,1291361,1307357,1323670,1339893,1356401,1373268,1390238,1407614,1424729,1442069,1459834,1477705,1495929,1514131,1532455,1551009,1569651
1,1,1,1,1,4,6,6,7,9,10,11,14,14,15,16,19,20,26,31,38,44,51,58,65,73,78,83,96,104,111,118,123,136,152,164,176,185,192,207,219,226,241,258,269,283,298,306,322,338,351,367,395,416,436,455,478,504,530,546,574,597,630,660,695,733,777,815,845,882,917,961,1001,1025,1074,1117,1166,1207,1255,1318,1376,1432,1488,1529,1603,1656,1702,1760,1825,1892,1950,2019,2101,2166,2241,2312,2394,2467,2541,2632,2708,2790,2873,2967,3040,3127,3198,3281,3357,3453,3518,3602,3690,3769,3845,3928,4007,4086,4166,4243,4341,4429,4534,4634,4712,4810,4894,4980,5079,5169,5236,5327,5437,5541,5650,5769,5864,5970,6102,6229,6349,6475,6598,6715,6850,6983,7134,7269,7417,7564,7719,7848,7988,8115,8269,8424,8560,8696,8851,9004,9147,9291,9435,9559,9716,9868,10012,10162,10323,10463,10604,10738,10877,11044,11212,11385,11559,11727,11894,12047,12226,12390,12587,12740,12928,13126,13330,13539,13763,13970,14196,14405,14625,14868,15092,15333,15604,15858,16093,16354,16622,16909,17164,17435,17716,18030,18286,18562,18841,19147,19447,19711,20042,20333,20624,20953,21271,21590,21914,22238,22557,22861,23195,23528,23831,24178,24534,24909,25267,25603,25963,26314,26637,27057,27438,27897,28324,28783,29222,29692,30166,30615,31116,31606,32094,32584,33105,33621,34138,34700,35245,35822,36389,36970,37575,38160,38770,39357,39961,40566,41130,41769,42409,42975,43587,44243,44873,45576,46276,47035,47773,48498,49199,49918,50676,51442,52207,53002,53831,54609,55398,56201,57040,57910,58807,59691,60656,61599,62544,63450,64403,65410,66341,67337,68343,69297,70274,71297,72338,73334,74435,75555,76578,77682,78773,79805,80921,82032,83187,84385,85503,86653,87844,89035,90335,91501,92743,94055,95364,96662,97959,99336,100637,101955,103375,104787,106253,107713,109220,110686,112268,113758,115269,116828,118343,119909,121515,123271,124950,126588,128306,130006,131693,133524,135301,136997,138830,140667,142505,144345,146264,148191,150248,152226,154273,156352,158481,160569,162828,165012,167200,169541,171828,174195,176543,178891,181261,183739,186178,188709,191221,193784,196454,199076,201735,204462,207242,210162,213049,215884,218890,221986,225092,228242,231386,234632,237822,241170,244593,247979,251396,254865,258513,262131,265806,269448,273092,276797,280605,284502,288371,292196,296133,300149,304029,307998,312095,316231,320412,324705,328894,333199,337619,342043,346595,351223,355695,360395,365232,370069,374883,380066,385154,390327,395442,400747,406126,411523,417060,422688,428291,433870,439715,445643,451584,457531,463481,469427,475585,481832,488243,494579,500967,507226,513718,520324,526902,533723,540548,547305,554341,561306,568500,575837,583142,590636,598297,605934,613741,621485,629535,637594,645866,654077,662694,671271,679980,689039,698144,707443,716701,726236,735794,745471,755331,765272,775411,785703,796049,806487,816930,827650,838773,849700,860816,871947,883092,894696,906414,918373,930285,942373,954698,966981,979541,992312,1005313
1,1,1,1,1,4,4,6,8,8,10,11,11,11,11,12,13,14,14,14,16,18,20,23,25,26,26,27,28,30,34,38,47,57,61,68,81,91,99,110,132,143,154,171,180,199,217,236,252,276,303,328,348,373,398,429,446,466,491,506,533,559,591,620,640,669,690,720,749,775,803,837,867,902,933,964,1002,1029,1060,1099,1126,1153,1191,1217,1254,1291,1331,1355,1377,1404,1439,1477,1521,1561,1597,1643,1690,1726,1763,1812,1854,1899,1951,1995,2040,2086,2141,2186,2235,2280,2328,2389,2436,2488,2548,2614,2679,2763,2843,2898,2976,3040,3101,3169,3229,3302,3384,3469,3544,3627,3709,3786,3858,3941,4012,4101,4172,4261,4333,4428,4508,4602,4685,4777,4861,4942,5045,5140,5240,5331,5444,5540,5647,5739,5838,5940,6044,6150,6248,6341,6426,6534,6639,6735,6829,6949,7047,7159,7273,7380,7498,7619,7710,7800,7917,8037,8137,8236,8336,8450,8552,8660,8788,8925,9053,9177,9284,9397,9506,9633,9766,9902,10034,10180,10300,10434,10553,10702,10824,10967,11117,11243,11376,11493,11647,11788,11966,12113,12242,12388,12526,12660,12806,12936,13103,13285,13435,13590,13759,13927,14104,14252,14409,14579,14739,14920,15101,15275,15457,15662,15857,16033,16243,16422,16631,16835,17010,17213,17389,17595,17798,18033,18244,18481,18700,18911,19090,19275,19475,19693,19878,20067,20284,20504,20713,20933,21156,21385,21637,21873,22106,22358,22601,22866,23087,23345,23617,23884,24112,24382,24658,24923,25187,25451,25740,26016,26277,26580,26898,27202,27493,27825,28133,28441,28775,29092,29455,29819,30220,30612,30969,31316,31686,32087,32517,32906,33326,33767,34177,34601,35047,35489,35937,36385,36831,37260,37737,38239,38741,39244,39734,40208,40726,41229,41722,42242,42787,43300,43850,44412,44967,45508,46068,46677,47238,47884,48445,49042,49646,50266,50876,51539,52186,52815,53449,54132,54766,55492,56208,56874,57538,58275,59021,59746,60514,61253,62013,62775,63527,64274,65049,65842,66633,67457,68290,69127,69957,70799,71687,72550,73441,74292,75206,76135,77065,77959,78933,79869,80831,81881,82876,83853,84902,85925,87038,88175,89277,90402,91569,92732,93873,95077,96342,97611,98900,100158,101464,102794,104180,105496,106897,108299,109715,111122,112618,114150,115652,117235,118748,120274,121785,123328,124943,126597,128226,129857,131592,133296,135002,136796,138582,140445,142312,144150,146136,148111,150072,152072,154131,156184,158281,160438,162611,164745,166968,169190,171477,173777,176125,178507,180908,183384,185892,188403,190945,193548,196214,198821,201495,204161,206935,209773,212478,215300,218153,221126,224028,226991,229893,232935,236002,239072,242244,245443,248610,251885,254981,258317,261602,265010,268406,271921,275476,278974,282540,286099,289775,293565,297378,301234,305154,309097,313126,317085,321121,325213,329296,333611,337914,342398,346820,351313,355836,360417,365073,369870,374678,379414,384286,389109,393898,398957,404212,409492,414812,420340,425786
1,1,1,1,1,1,4,5,7,13,15,15,15,17,20,24,29,29,29,34,42,50,55,64,68,73,79,92,101,108,119,127,142,150,157,172,184,202,218,234,247,261,277,293,305,320,336,348,361,384,410,428,453,470,489,512,541,566,596,621,647,662,685,707,734,756,780,817,841,859,879,899,931,958,982,1002,1023,1046,1068,1093,1124,1152,1183,1223,1270,1304,1340,1375,1413,1457,1510,1564,1620,1677,1718,1779,1832,1893,1941,2000,2064,2113,2180,2235,2291,2348,2401,2464,2529,2603,2672,2730,2792,2858,2927,3010,3067,3124,3186,3259,3319,3382,3447,3515,3589,3647,3707,3780,3850,3935,4009,4064,4134,4221,4291,4366,4462,4540,4622,4699,4794,4895,5003,5092,5195,5299,5399,5500,5628,5767,5875,5995,6112,6231,6354,6476,6604,6749,6868,6981,7123,7260,7383,7524,7653,7815,7975,8129,8258,8399,8572,8703,8862,8992,9149,9293,9433,9579,9743,9868,10025,10207,10385,10546,10701,10872,11030,11209,11356,11514,11674,11843,11991,12170,12350,12526,12685,12864,13050,13234,13426,13605,13775,13992,14164,14352,14555,14768,15002,15225,15447,15679,15915,16169,16389,16609,16850,17069,17319,17563,17820,18073,18330,18601,18869,19143,19404,19697,19973,20261,20554,20819,21098,21394,21730,22066,22369,22681,23030,23388,23751,24073,24431,24812,25195,25591,25997,26422,26794,27190,27627,28072,28491,28922,29329,29799,30286,30786,31283,31795,32264,32778,33272,33815,34297,34770,35273,35780,36266,36798,37318,37848,38390,38943,39479,40008,40471,40972,41509,42060,42611,43198,43727,44336,44917,45563,46141,46831,47418,48064,48701,49386,50059,50718,51416,52058,52804,53446,54177,54912,55670,56376,57153,57906,58643,59414,60162,60992,61761,62601,63447,64231,65072,65938,66803,67646,68458,69323,70231,71141,72051,73031,73971,74941,75918,76882,77858,78878,79979,81040,82067,83192,84288,85356,86426,87600,88829,90060,91305,92526,93733,95017,96361,97667,99061,100442,101771,103218,104651,106094,107634,109204,110766,112223,113835,115453,117088,118779,120422,122134,123849,125698,127497,129262,131112,133032,134926,136827,138927,140953,143006,145109,147220,149341,151570,153818,156065,158379,160763,163146,165548,167967,170418,172848,175428,178066,180763,183437,186201,189009,191917,194781,197634,200589,203608,206572,209619,212738,215923,219198,222393,225779,229103,232377,235799,239222,242673,246240,249886,253408,257084,260696,264581,268337,272247,276130,280107,284148,288137,292396,296585,300755,304938,309266,313659,318176,322785,327307,331984,336725,341608,346481,351391,356402,361446,366596,371791,377273,382448,387784,393374,398937,404788,410583,416478,422486,428469,434594,440837,447042,453435,459884,466391,473129,479834,486664,493596,500810,507867,514989,522281,529598,537166,544773,552294,559888,567645,575322,583271,591297,599590,607866,616229,624713,633322,642038,650963,659905,669098,678351,687755,697328,706915,716504,726362,736517,746669,756975,767359,777860,788435,799095,809868,820844,832158,843645,855155
1,1,1,4,4,7,7,8,8,12,14,19,25,28,32,38,45,49,53,56,59,66,74,78,82,96,103,105,110,116,121,123,127,135,144,154,162,172,191,198,209,221,233,246,262,282,298,323,337,353,372,392,416,446,468,492,525,554,583,603,632,652,678,711,748,779,811,845,869,887,915,943,980,1015,1051,1079,1109,1135,1162,1192,1215,1253,1287,1332,1366,1405,1450,1490,1534,1588,1622,1662,1697,1743,1808,1847,1904,1971,2017,2071,2141,2184,2248,2313,2369,2425,2500,2556,2616,2676,2731,2784,2838,2928,2995,3068,3133,3207,3292,3372,3448,3507,3595,3666,3739,3835,3921,3991,4086,4178,4278,4399,4514,4596,4720,4823,4930,5041,5164,5275,5389,5533,5648,5763,5868,5979,6106,6242,6364,6492,6620,6748,6850,6975,7088,7200,7335,7482,7620,7749,7893,8052,8209,8336,8461,8598,8761,8918,9077,9254,9429,9599,9784,9948,10111,10303,10475,10646,10798,10983,11175,11351,11539,11728,11942,12157,12355,12567,12761,12988,13254,13479,13691,13961,14216,14449,14724,15007,15322,15595,15890,16192,16521,16819,17146,17532,17884,18216,18549,18906,19299,19683,20075,20476,20879,21271,21632,22069,22474,22857,23262,23674,24124,24572,25037,25474,25942,26441,26923,27425,27947,28436,28941,29457,30029,30574,31146,31693,32298,32896,33522,34154,34843,35463,36131,36791,37498,38232,38921,39642,40375,41093,41820,42540,43295,44062,44814,45587,46395,47155,47878,48687,49490,50299,51093,51931,52686,53469,54348,55228,56144,57039,57937,58808,59772,60713,61666,62627,63595,64581,65573,66599,67558,68578,69629,70659,71709,72745,73812,74861,75984,77136,78242,79331,80490,81671,82839,84060,85261,86452,87704,89044,90294,91610,92943,94212,95523,96882,98224,99592,100931,102320,103784,105290,106807,108331,109872,111449,112985,114573,116083,117583,119209,120920,122611,124298,126099,127872,129652,131488,133322,135176,137007,138978,140857,142817,144681,146705,148764,150822,152988,155151,157311,159540,161733,164005,166314,168697,171105,173647,176167,178741,181259,183814,186441,189098,191749,194420,197208,199946,202787,205739,208730,211772,214857,217950,220998,224113,227271,230597,233795,237191,240488,243837,247281,250672,254221,257747,261421,265084,268760,272498,276242,280106,283954,287901,291740,295891,300085,304324,308561,312901,317425,321703,326187,330727,335354,339923,344602,349385,354271,359210,364375,369543,374668,379837,385086,390470,395978,401539,407036,412764,418569,424411,430302,436270,442292,448434,454625,460802,467048,473362,479776,486482,493192,499872,506599,513379,520358,527205,534281,541518,548733,556124,563616,571232,578835,586537,594359,602659,610686,618794,627066,635278,643865,652504,661413,670152,679080,688183,697266,706588,715927,725385,734789,744536,754483,764383,774393,784395,794558,804987,815390,825932,836486,847415,858508,869610,880776,891858,903202,914752,926324,938059,949957,962029,974205,986362,998854,1011328,1023821,1036564,1049318,1062413,1075545,1088718,1101887,1115186,1128886,1142603,1156432,1170561,1184687,1199130,1213718,1228451,1243064
1,1,2,2,2,5,5,7,10,12,14,17,20,23,28,31,36,41,46,51,56,63,79,92,104,123,135,152,167,181,201,216,228,247,265,283,298,315,338,359,384,412,431,448,470,501,526,562,583,600,630,657,686,716,735,761,782,817,833,864,900,940,969,1005,1044,1077,1128,1167,1199,1239,1279,1336,1366,1406,1433,1475,1510,1540,1584,1639,1683,1724,1769,1808,1856,1904,1965,2034,2086,2148,2200,2253,2307,2373,2439,2505,2590,2652,2714,2800,2877,2944,3010,3077,3159,3232,3313,3389,3460,3534,3626,3720,3804,3885,3974,4055,4132,4221,4325,4425,4518,4598,4724,4831,4930,5037,5163,5282,5415,5532,5654,5771,5874,6000,6109,6229,6367,6483,6598,6728,6857,6973,7089,7217,7349,7467,7599,7731,7872,8009,8130,8257,8372,8496,8645,8820,8949,9089,9218,9359,9500,9652,9782,9926,10083,10231,10389,10541,10678,10816,10962,11130,11286,11443,11621,11788,11987,12162,12330,12489,12685,12855,13059,13258,13442,13628,13822,14016,14218,14421,14663,14909,15118,15320,15564,15796,16043,16292,16566,16839,17089,17339,17606,17852,18118,18405,18690,18952,19213,19480,19761,20084,20416,20697,21009,21304,21630,21934,22244,22576,22893,23230,23551,23899,24236,24599,24921,25263,25640,26030,26414,26798,27140,27519,27881,28247,28648,29064,29455,29879,30303,30749,31134,31553,31993,32442,32864,33294,33750,34187,34619,35086,35567,36055,36526,37015,37510,38025,38530,39045,39535,40061,40623,41136,41639,42179,42699,43330,43952,44531,45135,45770,46399,47030,47673,48267,48948,49580,50260,50908,51625,52277,52976,53718,54505,55244,55952,56732,57495,58291,59048,59827,60581,61371,62171,62961,63833,64663,65479,66375,67240,68183,69052,69978,70900,71904,72928,73913,74963,75997,77015,78086,79215,80326,81477,82569,83693,84862,86021,87249,88451,89714,90917,92186,93492,94769,96118,97474,98873,100273,101643,103053,104512,106006,107563,108995,110534,112184,113753,115394,117122,118792,120507,122253,124031,125772,127558,129380,131169,132971,134883,136769,138699,140668,142652,144660,146733,148903,151077,153248,155472,157677,159967,162314,164682,167149,169634,172089,174567,177087,179751,182402,185014,187683,190477,193278,196217,199110,202017,204942,207902,210910,214014,217158,220372,223573,226835,230128,233436,236762,240168,243645,247098,250709,254479,258173,262008,265852,269741,273705,277586,281542,285569,289728,293926,298228,302628,306935,311462,315925,320373,325001,329794,334582,339407,344315,349317,354333,359443,364552,369928,375337,380585,386178,391789,397571,403292,409085,415094,421044,427042,433259,439536,445808,452230,458660,465077,471715,478289,484945,491588,498608,505398,512554,519764,527034,534172,541556,548913,556534,564137,572150,579744,587650,595618,603734,611850,620199,628593,636918,645519,654106,662907,671832,680906,690184,699507,708635,717925,727430,737155,746838,756917,766890,777198,787565,798029,808701,819334,830133,841293,852373,863479,874828,886480,898156,910014,922036,934205,946440,958809,971408,984051,996883,1009706,1022937,1036130
1,1,1,1,3,4,4,5,6,8,11,14,19,22,24,29,37,43,50,50,57,64,70,80,84,92,106,115,124,140,152,166,175,195,209,220,239,257,269,287,308,329,351,371,389,407,431,452,472,485,507,530,544,566,594,613,639,660,688,717,747,772,790,813,843,878,918,967,1007,1053,1093,1137,1189,1227,1270,1303,1355,1401,1444,1490,1531,1573,1626,1666,1731,1789,1856,1909,1967,2034,2095,2163,2238,2325,2397,2484,2572,2663,2752,2845,2922,3002,3093,3202,3301,3402,3512,3632,3755,3869,3975,4084,4194,4326,4446,4546,4683,4829,4959,5128,5261,5412,5581,5735,5888,6028,6238,6404,6575,6740,6917,7094,7264,7461,7639,7819,8018,8212,8425,8614,8798,9028,9229,9448,9652,9878,10105,10349,10577,10800,11046,11272,11520,11761,11993,12207,12456,12719,12999,13241,13513,13788,14072,14379,14641,14932,15209,15488,15814,16120,16402,16725,17067,17377,17707,18037,18388,18740,19107,19452,19799,20146,20527,20925,21302,21682,22076,22493,22920,23342,23795,24254,24707,25177,25603,26050,26511,26986,27477,27954,28474,29019,29482,30049,30605,31161,31725,32279,32910,33484,34046,34652,35285,35936,36560,37171,37846,38511,39153,39827,40468,41116,41802,42417,43073,43772,44491,45123,45782,46406,47083,47852,48620,49375,50109,50884,51684,52551,53341,54126,54949,55799,56617,57482,58438,59348,60274,61231,62218,63207,64209,65233,66286,67362,68460,69545,70722,71913,73102,74322,75509,76713,77936,79208,80555,81820,83145,84507,85870,87256,88614,90023,91472,92957,94399,95864,97357,98884,100431,102042,103643,105270,106878,108510,110226,111898,113696,115459,117288,119063,120987,122874,124693,126568,128507,130452,132557,134608,136756,138835,140920,143184,145430,147685,149977,152333,154607,156971,159404,161821,164340,166978,169579,172210,174827,177565,180369,183211,186053,188825,191760,194737,197667,200747,203804,206971,210154,213264,216371,219577,222858,226268,229699,233270,236719,240274,243848,247443,251003,254650,258366,262048,265976,269884,273693,277699,281718,285732,289967,294227,298485,302805,307058,311285,315621,320094,324510,329110,333872,338585,343475,348337,353235,358362,363489,368655,373711,378931,384292,389674,395166,400678,406257,412084,417859,423680,429643,435731,441870,448021,454268,460747,467168,473575,480182,486855,493700,500627,507700,514877,522163,529526,536807,544350,551871,559552,567193,574920,582904,590839,598949,607091,615247,623583,631931,640258,648644,657341,666264,675296,684244,693291,702497,711957,721224,730709,740413,750351,760419,770732,780887,791085,801580,812301,823205,834146,845306,856753,868212,879794,891320,903175,915104,927054,939411,951771,964231,976841,989799,1002649,1015643,1028574,1041838,1055222,1068868,1082668,1096508,1110558,1124722,1139015,1153538,1167883,1182487,1197281,1212100,1227435,1242697,1258250,1273871,1289874,1305941,1322407,1338741,1355218,1371933,1388982,1406282,1423735,1441303,1459167,1476905,1495155,1513653,1532212,1551114,1569994,1589067,1608104,1627407,1647156,1667296,1687463,1708013,1728315,1748808,1769528,1790255,1811555,1832942,1854556,1876232,1898295,1920338,1942740,1965082,1987476,2010057
1,1,1,1,4,5,10,10,13,15,19,20,27,37,45,53,60,66,73,81,93,98,117,136,147,170,186,204,218,237,264,290,311,326,343,357,376,398,428,449,475,498,523,552,572,603,623,653,683,702,724,757,783,821,849,876,905,938,970,1009,1045,1076,1111,1156,1193,1223,1260,1312,1368,1403,1441,1502,1554,1612,1666,1731,1794,1846,1914,1965,2037,2098,2155,2217,2284,2334,2392,2445,2514,2578,2650,2698,2740,2812,2882,2948,3001,3052,3116,3174,3231,3311,3387,3460,3543,3614,3708,3784,3843,3909,3987,4059,4128,4212,4308,4392,4496,4597,4697,4810,4909,5000,5102,5201,5306,5426,5542,5670,5800,5932,6064,6194,6329,6446,6585,6716,6845,7005,7148,7294,7432,7561,7706,7839,7994,8171,8351,8505,8680,8845,9026,9206,9413,9630,9791,9984,10212,10413,10613,10822,11016,11230,11438,11656,11893,12110,12342,12578,12819,13081,13323,13543,13769,13985,14252,14497,14749,15007,15268,15533,15798,16053,16330,16616,16890,17166,17447,17740,18008,18309,18616,18909,19220,19541,19840,20167,20478,20809,21131,21485,21825,22169,22511,22848,23161,23500,23871,24231,24569,24962,25359,25764,26116,26513,26895,27268,27621,28041,28476,28931,29335,29779,30279,30713,31178,31642,32116,32586,33105,33637,34136,34648,35189,35749,36359,36905,37487,38051,38596,39155,39743,40327,40901,41487,42050,42652,43264,43919,44621,45297,45914,46529,47167,47798,48476,49136,49825,50495,51216,51926,52626,53326,54094,54850,55592,56381,57146,57939,58752,59587,60442,61327,62187,63050,63946,64847,65770,66711,67705,68750,69730,70763,71822,72937,73995,75072,76243,77349,78449,79619,80736,81902,83039,84239,85484,86711,87917,89161,90407,91692,92877,94129,95500,96772,98079,99441,100747,102106,103545,104927,106351,107765,109288,110837,112392,114007,115658,117306,119016,120789,122612,124433,126237,128112,129938,131844,133734,135678,137749,139861,141943,144103,146305,148429,150608,152812,155095,157422,159708,162157,164569,167057,169543,172101,174605,177196,179758,182361,185034,187759,190471,193204,195996,198822,201609,204528,207425,210526,213534,216695,219752,222832,226098,229254,232522,235820,239096,242394,245882,249281,252811,256281,259852,263496,267076,270676,274355,278222,282084,285918,289974,293883,297802,301764,305835,310118,314265,318561,322804,327158,331595,335928,340350,344900,349610,354152,358875,363610,368529,373610,378600,383638,388734,393873,399057,404287,409590,415159,420696,426277,432031,437858,443695,449571,455616,461843,468043,474510,480949,487477,494203,501081,507882,514796,521840,529107,536262,543598,550881,558430,566155,573986,581730,589919,597879,606057,614173,622309,630714,639088,647522,656187,664902,673689,682505,691476,700577,709753,719137,728844,738265,748046,758122,768090,778195,788356,798563,809155,819787,830741,841844,852789,864168,875528,886956,898788,910831,922912,935064,947439,959996,972655,985702,998715,1011670,1025131,1038784,1052236,1066062,1080166,1094317,1108466,1122946,1137597,1152405,1167422,1182635,1198007,1213436,1229026,1245035,1261151,1277291,1293200,1309568,1326083,1343028
1,1,2,5,7,10,13,15,17,18,19,25,26,27,34,39,46,48,51,53,59,65,74,85,93,97,102,115,126,133,142,153,165,170,178,186,193,199,207,221,229,238,248,259,276,284,294,306,316,326,339,350,360,372,386,398,408,417,429,439,449,463,479,501,519,539,557,572,583,607,629,655,671,690,714,733,756,782,798,816,841,870,900,921,949,976,996,1028,1067,1113,1161,1196,1232,1284,1313,1361,1407,1457,1489,1532,1583,1631,1674,1729,1776,1821,1873,1921,1976,2015,2067,2128,2176,2232,2278,2333,2387,2441,2495,2559,2613,2680,2744,2806,2869,2938,3006,3070,3130,3195,3275,3351,3428,3529,3620,3712,3826,3936,4031,4145,4258,4383,4491,4601,4749,4875,4994,5100,5219,5350,5482,5623,5777,5921,6050,6199,6343,6473,6616,6790,6922,7069,7208,7349,7512,7650,7810,7994,8144,8317,8505,8696,8915,9120,9329,9512,9726,9951,10157,10391,10636,10847,11085,11360,11592,11830,12041,12259,12509,12766,13037,13288,13552,13800,14046,14298,14548,14802,15056,15353,15598,15889,16157,16403,16682,16945,17271,17529,17850,18169,18483,18772,19080,19386,19694,20019,20357,20703,21031,21346,21700,22051,22414,22768,23142,23511,23867,24215,24639,25021,25441,25835,26277,26706,27150,27632,28126,28579,29027,29515,30064,30628,31167,31703,32235,32775,33322,33856,34404,34965,35525,36083,36687,37254,37877,38474,39056,39669,40318,40963,41616,42245,42931,43564,44215,44889,45541,46225,46917,47648,48362,49092,49793,50550,51284,52013,52772,53490,54220,54977,55722,56494,57287,58102,58945,59832,60646,61430,62343,63246,64125,65060,65999,66936,67937,68962,69980,71017,72042,73144,74318,75445,76638,77779,78952,80156,81402,82598,83817,85066,86416,87665,88932,90179,91474,92808,94103,95464,96831,98179,99646,101050,102515,103991,105468,106978,108520,110156,111727,113349,114994,116628,118375,120107,121771,123497,125294,127162,129051,130944,132884,134795,136742,138651,140570,142562,144640,146771,148979,151177,153467,155722,158001,160372,162736,165162,167644,169991,172565,175112,177682,180216,182973,185556,188267,191143,193836,196634,199463,202289,205303,208199,211232,214322,217544,220736,223980,227170,230531,233922,237394,240896,244403,247954,251529,255191,259009,262744,266615,270386,274332,278325,282380,286412,290503,294684,299035,303260,307583,311948,316496,320921,325376,329938,334575,339257,343971,348689,353506,358267,363319,368371,373314,378256,383396,388602,393733,399064,404682,410279,415829,421669,427537,433375,439389,445445,451616,457861,464125,470559,476990,483539,490271,497191,504087,511051,518136,525285,532613,539964,547470,554865,562625,570410,578252,586112,594140,602029,610162,618345,626758,635188,643557,652031,660658,669413,678351,687347,696548,705572,714868,724154,733582,743172,752731,762502,772279,782354,792368,802754,813322,823996,834634,845372,856234,867134,878276,889690,901457,913276,925283,937234,949452,961846,974422,987205,1000074,1012869,1025945,1039305,1052641,1066235,1080178,1094177,1107984,1122171,1136621
1,1,1,1,2,3,4,9,11,15,19,20,20,23,37,49,59,73,82,100,112,121,131,145,166,185,205,220,239,255,268,292,307,323,336,357,366,382,398,413,428,441,452,465,471,477,485,498,509,515,518,526,532,539,545,554,560,567,575,582,592,598,603,607,615,621,629,639,653,663,666,673,680,689,696,711,720,732,738,744,754,767,775,783,790,802,811,815,825,841,848,853,865,881,891,903,911,919,924,927,931,942,951,961,971,983,998,1013,1029,1036,1046,1065,1077,1093,1109,1126,1146,1159,1184,1193,1212,1230,1248,1274,1288,1302,1318,1333,1349,1368,1383,1405,1433,1456,1473,1492,1512,1526,1547,1555,1567,1585,1602,1628,1650,1668,1697,1716,1745,1765,1789,1811,1833,1859,1884,1913,1936,1970,1998,2024,2052,2084,2105,2123,2148,2180,2211,2253,2290,2317,2338,2372,2400,2433,2471,2498,2543,2586,2619,2654,2694,2734,2801,2867,2927,2987,3046,3123,3206,3287,3374,3465,3551,3651,3745,3836,3919,4016,4110,4201,4294,4382,4472,4568,4661,4755,4856,4938,5043,5136,5216,5307,5396,5489,5578,5676,5782,5875,5967,6051,6139,6222,6313,6409,6513,6618,6712,6785,6882,6979,7086,7178,7268,7357,7442,7551,7643,7747,7849,7940,8035,8137,8267,8384,8495,8611,8728,8841,8967,9064,9186,9307,9432,9552,9687,9824,9947,10078,10187,10282,10398,10525,10656,10789,10919,11058,11179,11290,11410,11514,11648,11774,11914,12046,12177,12288,12410,12557,12731,12899,13064,13204,13355,13539,13700,13871,14036,14206,14350,14531,14695,14907,15128,15315,15516,15713,15926,16180,16406,16615,16825,17077,17322,17564,17828,18069,18306,18591,18862,19125,19384,19664,19958,20239,20553,20845,21139,21472,21777,22066,22387,22721,23036,23358,23691,24022,24393,24752,25141,25519,25882,26292,26714,27076,27507,27929,28353,28800,29237,29673,30161,30676,31158,31650,32102,32605,33115,33609,34160,34708,35232,35801,36313,36826,37380,37944,38540,39139,39714,40274,40897,41509,42137,42818,43428,44030,44675,45297,45950,46579,47255,47931,48611,49304,50015,50686,51372,52071,52734,53445,54179,54862,55629,56357,57141,57958,58758,59554,60382,61211,62049,62937,63805,64716,65592,66494,67365,68279,69247,70229,71142,72152,73118,74140,75190,76269,77305,78336,79313,80353,81394,82508,83542,84638,85752,86889,88011,89080,90228,91349,92489,93655,94815,95980,97140,98317,99512,100698,101941,103233,104514,105846,107127,108468,109849,111219,112575,113969,115382,116780,118285,119827,121450,122944,124490,126149,127786,129468,131271,133058,134747,136525,138321,140214,142116,144067,146065,147991,149978,152021,154096,156140,158197,160257,162446,164570,166734,168950,171189,173520,175835,178103,180472,182927,185301,187630,190068,192503,194936,197515,200142,202716,205326,207999,210725,213458,216308,219120,222101,225172,228239,231341,234480,237625,240756,243980,247353
1,1,1,1,4,4,4,8,9,10,12,13,15,24,27,29,36,46,57,69,75,86,100,122,145,154,176,190,211,226,241,269,290,312,336,364,390,412,438,459,482,509,532,557,585,611,635,660,687,716,739,774,798,815,848,884,923,960,994,1028,1077,1109,1137,1177,1216,1258,1305,1347,1378,1426,1477,1516,1570,1616,1665,1717,1782,1831,1870,1923,1973,2012,2066,2131,2177,2252,2312,2375,2435,2502,2559,2630,2698,2755,2812,2869,2930,3002,3071,3155,3225,3296,3366,3451,3523,3586,3663,3745,3811,3897,3972,4041,4128,4215,4309,4387,4472,4548,4608,4685,4745,4807,4868,4942,5005,5088,5165,5234,5324,5409,5516,5616,5709,5781,5857,5974,6071,6177,6278,6400,6499,6601,6728,6851,6993,7099,7219,7351,7469,7607,7756,7906,8053,8188,8357,8520,8675,8882,9055,9239,9389,9530,9706,9891,10054,10222,10404,10567,10747,10924,11108,11260,11442,11600,11764,11930,12120,12294,12489,12655,12836,13015,13202,13360,13530,13731,13923,14115,14305,14498,14700,14890,15129,15356,15578,15793,16039,16302,16557,16809,17039,17301,17592,17852,18128,18424,18737,19014,19299,19611,19885,20192,20511,20811,21149,21450,21746,22091,22410,22741,23051,23367,23739,24099,24501,24903,25243,25660,26066,26482,26895,27271,27703,28113,28510,28943,29361,29804,30253,30680,31124,31590,32018,32463,32895,33325,33790,34276,34757,35214,35691,36148,36656,37137,37667,38209,38739,39260,39734,40235,40749,41320,41875,42436,43010,43598,44210,44798,45371,45969,46599,47247,47819,48450,49107,49747,50408,51126,51834,52531,53236,53938,54711,55452,56199,56981,57735,58559,59395,60163,60952,61793,62684,63554,64366,65259,66147,67084,67969,68925,69898,70768,71721,72668,73670,74690,75674,76652,77724,78700,79710,80723,81747,82796,83863,84912,86018,87127,88336,89465,90578,91766,92932,94138,95336,96642,97881,99205,100538,101922,103363,104799,106243,107780,109315,110971,112645,114264,115943,117632,119291,121051,122885,124799,126700,128488,130330,132235,134158,136166,138171,140135,142129,144234,146299,148391,150516,152701,154786,157052,159376,161686,163983,166220,168528,170881,173317,175768,178238,180773,183371,186074,188672,191411,194214,196953,199847,202788,205726,208706,211719,214789,217884,221089,224226,227389,230548,233867,237124,240475,243870,247334,250759,254143,257480,260975,264544,268082,271713,275446,279184,283000,286793,290739,294648,298623,302709,306713,310799,314945,319206,323589,327981,332513,337005,341646,346343,351024,355747,360638,365704,370651,375754,380866,386116,391352,396742,402251,407810,413414,419056,424912,430839,436928,442890,449083,455354,461518,468011,474529,481119,487723,494516,501246,508162,515032,522124,529304,536528,544112,551392,558745,566419,574168,582013,589906,598002,606142,614300,622597,630993,639648,648460,657352,666399,675457,684449,693527,702771,712321,721980,731529,741100,750982,761232,771328,781719,792164,802677,813168,824037,834863,845745,856972,868291,879597,891010,902748,914653,926473,938663,950803,963282,975805,988483,1001026,1013791
1,1,2,2,4,5,12,13,19,19,23,25,30,34,38,43,54,62,74,80,91,101,115,126,146,153,162,171,184,204,219,231,245,259,280,290,311,322,336,352,368,382,396,420,436,451,468,486,500,524,538,552,567,583,595,612,633,648,670,686,709,735,757,773,794,827,858,884,917,948,987,1029,1079,1109,1148,1196,1242,1290,1341,1399,1456,1507,1574,1637,1698,1755,1817,1895,1968,2049,2099,2176,2231,2289,2354,2428,2491,2560,2634,2706,2771,2835,2900,2966,3030,3085,3154,3229,3302,3378,3462,3534,3627,3703,3773,3861,3943,4026,4095,4179,4277,4377,4479,4591,4692,4805,4917,5044,5152,5264,5381,5499,5640,5756,5872,6005,6132,6273,6406,6547,6673,6815,6956,7104,7236,7366,7516,7657,7834,8019,8180,8338,8486,8664,8821,8975,9138,9281,9444,9617,9800,9964,10160,10360,10548,10733,10946,11145,11338,11518,11713,11903,12108,12303,12533,12740,12950,13174,13406,13636,13883,14112,14348,14584,14799,15007,15265,15475,15747,15990,16269,16507,16756,17039,17283,17521,17766,18019,18264,18514,18791,19064,19337,19601,19904,20218,20521,20795,21081,21362,21647,21918,22209,22493,22765,23072,23377,23691,23977,24296,24614,24950,25302,25640,25983,26346,26717,27051,27471,27863,28249,28626,29072,29494,29930,30388,30841,31269,31786,32301,32813,33309,33838,34334,34822,35366,35891,36435,37005,37561,38111,38683,39262,39834,40457,41035,41673,42330,42907,43530,44179,44862,45545,46239,46950,47667,48367,49079,49838,50606,51371,52133,52904,53689,54494,55375,56215,57093,57991,58878,59759,60624,61494,62413,63344,64250,65104,66022,66975,67913,68934,69907,70937,71954,72957,73978,75014,76009,77107,78197,79322,80434,81512,82610,83717,84883,86021,87144,88311,89533,90708,91998,93288,94571,95848,97160,98515,99886,101119,102435,103778,105092,106621,108053,109527,111043,112573,114149,115646,117290,118917,120492,122155,123813,125548,127298,128998,130786,132630,134379,136199,138059,140003,141794,143792,145776,147763,149739,151771,153826,155914,157963,160031,162130,164241,166491,168755,171012,173267,175511,177816,180147,182457,184894,187290,189695,192059,194608,197231,199760,202367,205050,207770,210414,213110,215966,218751,221667,224536,227433,230421,233433,236404,239398,242501,245757,249033,252216,255461,258940,262337,265795,269356,272935,276434,280069,283661,287438,291237,295014,298770,302702,306605,310560,314503,318610,322621,326770,330882,335122,339278,343414,347784,352097,356502,360995,365516,370184,374757,379459,384192,389071,393976,398917,403958,409014,414217,419409,424683,430084,435454,441014,446568,452210,457826,463581,469461,475395,481460,487533,493680,499905,506344,512863,519304,525929,532502,539204,546055,553190,560149,567375,574767,582278,589606,597227,604822,612628,620486,628419,636671,645120,653506,662089,670628,679264,688037,696834,705976,715366,724860,734279,743709,753644,763399,773424,783272,793303,803530,813952,824477,835186,845995,856676,867693,878885,890043,901257,912915,924851,936461,948515,960487,972859,985252,997825,1010476
1,1,3,3,3,4,5,8,12,15,20,22,22,27,30,30,37,40,48,57,70,87,101,113,120,134,147,161,171,190,198,209,218,228,248,261,274,286,300,305,313,323,335,352,365,381,394,407,419,439,455,476,497,512,529,551,569,603,628,648,665,692,718,746,775,802,837,861,879,913,944,971,1010,1047,1086,1122,1155,1198,1232,1257,1290,1313,1360,1407,1450,1509,1567,1632,1675,1729,1785,1850,1904,1953,2014,2071,2124,2180,2255,2330,2393,2455,2525,2597,2676,2731,2808,2882,2947,3027,3095,3167,3234,3299,3374,3451,3523,3586,3652,3708,3776,3850,3918,3976,4048,4108,4175,4245,4324,4391,4467,4526,4607,4709,4801,4879,4960,5040,5132,5232,5295,5398,5484,5576,5671,5772,5857,5958,6069,6180,6270,6368,6471,6589,6706,6806,6924,7043,7174,7311,7438,7560,7694,7837,7988,8129,8283,8459,8606,8755,8908,9083,9230,9387,9556,9739,9901,10091,10302,10482,10651,10861,11061,11260,11474,11704,11918,12145,12381,12627,12884,13112,13391,13703,13999,14294,14606,14913,15204,15538,15851,16154,16463,16793,17106,17433,17761,18106,18430,18799,19173,19524,19883,20235,20647,21019,21424,21830,22194,22624,23070,23481,23921,24361,24801,25231,25696,26208,26678,27189,27707,28216,28782,29321,29899,30479,31045,31623,32217,32788,33382,33984,34571,35204,35791,36404,36994,37625,38266,38910,39586,40240,40877,41485,42136,42759,43375,44026,44661,45337,46035,46761,47457,48183,48831,49565,50310,51032,51762,52506,53289,54128,54958,55773,56642,57474,58356,59241,60190,61142,62082,63019,63985,64947,65963,66989,68021,69079,70149,71192,72275,73404,74515,75642,76761,77899,78989,80117,81313,82434,83586,84870,86120,87427,88742,90059,91358,92640,94017,95443,96820,98169,99630,101124,102611,104178,105707,107397,109018,110645,112255,113861,115536,117232,118971,120751,122558,124297,126046,127901,129704,131591,133507,135452,137355,139252,141144,143128,144987,147048,149098,151152,153272,155409,157574,159716,161906,164175,166461,168862,171251,173588,175997,178488,181011,183553,186234,188969,191654,194403,197187,200041,202931,205764,208703,211655,214744,217816,220881,224096,227304,230483,233800,237240,240633,243911,247409,250974,254584,258160,261849,265568,269297,273043,276949,280964,284957,288937,292948,297042,301190,305366,309635,314057,318396,322969,327529,331978,336692,341255,345976,350607,355194,360054,365050,369986,374907,379877,384953,389964,395161,400261,405664,410988,416539,421944,427643,433239,438906,444482,450337,456219,462188,468084,474331,480508,486927,493398,499804,506430,513205,519872,526680,533638,540643,547735,554974,562256,569635,577120,584655,592347,600121,607844,615834,623724,632017,640195,648625,656764,665170,673536,682114,690948,699878,708780,718000,727299,736595,746039,755550,765234,775164,785182,795241,805481,815765,826351,836849,847556,858385,869374,880451,891664,903061,914460,925955,937535,949419,961265,973530,985723,998021,1010837,1023622,1036225,1049054,1062047,1075206,1088515,1101819,1115534,1129333,1143236,1157227,1171221,1185467
1,1,1,1,1,1,1,1,3,4,6,6,6,6,9,10,13,17,21,24,26,31,32,34,42,47,51,54,60,65,71,74,80,90,99,111,116,126,138,148,156,165,178,184,193,207,218,231,240,255,265,280,287,302,315,325,339,356,374,395,410,419,424,439,457,479,491,513,532,556,577,600,639,666,694,723,758,783,815,854,888,929,969,1014,1063,1106,1146,1198,1238,1278,1340,1392,1444,1488,1533,1586,1638,1686,1736,1785,1838,1892,1956,2016,2096,2154,2221,2277,2339,2393,2453,2510,2582,2666,2739,2810,2889,2977,3066,3157,3227,3302,3382,3457,3534,3637,3737,3825,3912,4001,4084,4174,4282,4382,4489,4590,4704,4819,4919,5050,5171,5296,5425,5557,5697,5848,5971,6108,6246,6389,6538,6678,6823,6981,7136,7279,7427,7559,7713,7876,8064,8248,8416,8593,8797,8975,9138,9301,9469,9631,9809,10014,10207,10381,10580,10741,10953,11143,11339,11549,11768,11965,12182,12384,12556,12759,12957,13180,13383,13630,13863,14127,14342,14593,14896,15195,15485,15754,16061,16360,16690,17024,17323,17630,17965,18329,18684,19054,19396,19766,20174,20535,20891,21257,21643,21998,22404,22813,23210,23626,24018,24428,24830,25263,25657,26053,26490,26897,27314,27769,28189,28644,29059,29510,29934,30387,30798,31221,31665,32109,32568,33001,33485,33927,34398,34841,35308,35781,36260,36734,37215,37682,38155,38682,39152,39605,40108,40625,41095,41617,42151,42675,43248,43805,44357,44867,45407,45936,46534,47099,47726,48364,48972,49570,50226,50914,51572,52264,52947,53673,54398,55107,55852,56596,57399,58169,58946,59693,60509,61405,62294,63148,63994,64858,65787,66694,67643,68617,69588,70554,71634,72732,73773,74806,75923,77032,78172,79337,80444,81665,82853,84014,85233,86465,87749,89023,90387,91652,92943,94303,95727,97164,98585,99998,101514,102938,104434,105917,107505,109083,110653,112265,113905,115550,117259,118924,120680,122347,124162,125920,127744,129513,131407,133246,135131,137064,138985,140984,143050,145124,147219,149283,151301,153517,155596,157829,160143,162479,164760,167056,169429,171775,174093,176459,178867,181279,183828,186403,188970,191631,194331,197057,199862,202631,205448,208296,211156,213987,216925,219892,222887,225937,228941,232095,235344,238528,241738,244972,248322,251607,254980,258394,261789,265288,268803,272343,276011,279566,283358,286993,290773,294636,298439,302278,306171,310224,314242,318180,322243,326462,330554,334847,339029,343304,347595,351970,356369,360913,365570,370181,374729,379504,384241,388965,393952,398746,403843,408800,413854,418946,424145,429307,434611,439948,445401,450849,456298,461763,467487,473293,479137,485103,491045,497216,503319,509536,515934,522307,528699,535360,541978,548698,555380,562363,569391,576608,583796,591183,598581,606034,613494,621199,629049,636746,644562,652382,660414,668562,676731,684883,693188,701831,710469,718813,727357,736158,744983,754023,762975,771978,781152,790659,800370,810065,820120,829840,839831,850191,860354,870804,881526,892134,903054,913910,924925,936081,947463
1,1,1,1,2,3,3,3,4,6,8,11,12,14,14,16,17,21,26,30,36,41,45,52,57,61,64,70,75,81,86,99,107,119,133,142,151,161,166,171,179,185,194,201,205,208,220,224,234,240,247,253,258,268,276,286,292,300,307,316,323,325,330,338,348,362,373,381,393,403,421,432,445,456,470,485,496,505,514,527,542,556,563,579,590,604,618,643,659,672,690,700,727,757,785,801,827,861,883,916,942,967,1009,1038,1064,1094,1132,1171,1217,1269,1318,1367,1416,1478,1532,1606,1660,1726,1787,1848,1900,1966,2027,2092,2173,2232,2290,2354,2415,2491,2554,2618,2698,2751,2830,2891,2962,3040,3115,3184,3251,3326,3411,3483,3558,3632,3712,3791,3867,3934,4000,4092,4171,4261,4344,4437,4530,4622,4717,4806,4903,5014,5112,5233,5336,5447,5579,5680,5795,5929,6035,6151,6253,6356,6479,6592,6704,6821,6929,7078,7211,7348,7479,7590,7710,7849,7994,8124,8275,8447,8607,8765,8931,9071,9234,9385,9544,9697,9858,10013,10187,10377,10577,10768,10967,11150,11350,11560,11773,11982,12200,12417,12650,12875,13068,13273,13486,13697,13901,14141,14376,14596,14872,15116,15347,15604,15870,16138,16377,16639,16862,17141,17383,17653,17946,18208,18477,18746,19017,19287,19563,19845,20136,20462,20797,21133,21462,21803,22139,22495,22869,23189,23576,24001,24420,24860,25280,25689,26141,26578,27002,27430,27845,28281,28736,29232,29727,30184,30682,31165,31643,32152,32642,33185,33707,34255,34789,35359,35959,36563,37141,37732,38351,39004,39667,40345,40981,41711,42403,43104,43866,44587,45295,46116,46870,47662,48565,49402,50215,51053,51906,52797,53738,54689,55602,56509,57451,58407,59398,60391,61394,62420,63462,64484,65532,66625,67682,68769,69870,71000,72071,73127,74294,75498,76685,77807,79013,80228,81502,82742,84013,85398,86689,88035,89451,90937,92349,93764,95240,96766,98315,99919,101539,103148,104780,106511,108247,109865,111659,113382,115148,116925,118738,120542,122477,124419,126458,128385,130287,132244,134161,136219,138405,140507,142563,144818,147023,149144,151433,153741,155974,158377,160772,163227,165643,168022,170560,173156,175715,178327,180978,183733,186439,189245,192104,194997,197913,200762,203577,206537,209549,212584,215708,218885,222073,225287,228519,231732,235087,238420,241917,245345,248777,252218,255612,259165,262936,266732,270558,274433,278336,282239,286277,290425,294541,298717,302743,306961,311399,315792,320142,324615,329262,333880,338634,343350,348220,353059,358027,363089,368168,373405,378642,383909,389272,394748,400293,405952,411792,417689,423693,429667,435868,441943,448262,454551,460935,467371,474088,480842,487603,494504,501695,508831,515943,523267,530698,538334,545872,553444,561410,569414,577443,585714,594085,602501,611280,619860,628698,637590,646874,656046,665368,674794,684537,694311,704442,714445,724625,735108,745754,756498,767371,778476,789610,800937,812435,823960,835790,847514,859759,871913,884173,896710,909422,922202,934986
1,1,1,1,1,1,1,1,3,3,3,6,8,11,11,12,12,15,17,17,18,19,22,28,30,34,40,44,48,53,59,74,82,91,99,107,114,118,126,133,144,157,169,180,190,202,220,228,249,264,278,289,302,310,322,344,364,379,395,417,438,464,485,505,530,546,561,580,607,627,652,668,682,699,713,733,742,759,779,795,815,832,850,864,882,892,905,921,941,958,981,999,1030,1039,1056,1069,1085,1094,1104,1116,1135,1146,1152,1161,1177,1190,1204,1215,1225,1235,1244,1256,1276,1297,1305,1318,1332,1342,1349,1361,1370,1384,1398,1403,1414,1432,1446,1459,1468,1481,1490,1500,1514,1534,1545,1552,1567,1575,1589,1597,1605,1622,1641,1653,1672,1686,1701,1714,1733,1745,1763,1774,1788,1801,1825,1845,1854,1871,1892,1913,1927,1950,1982,2006,2025,2046,2066,2083,2096,2119,2149,2172,2189,2211,2223,2240,2257,2277,2293,2316,2334,2349,2374,2401,2419,2445,2468,2490,2512,2540,2566,2589,2616,2648,2672,2696,2729,2754,2788,2822,2854,2885,2909,2934,2962,2998,3032,3063,3099,3134,3176,3210,3246,3279,3312,3340,3383,3433,3479,3512,3558,3617,3662,3697,3758,3804,3855,3906,3961,4006,4063,4112,4160,4224,4280,4342,4393,4442,4490,4536,4591,4642,4715,4772,4851,4915,5000,5064,5118,5165,5248,5306,5379,5452,5537,5593,5680,5753,5829,5896,5958,6039,6114,6187,6256,6330,6398,6468,6539,6615,6689,6762,6819,6895,6977,7051,7135,7225,7297,7400,7481,7579,7662,7779,7884,7991,8094,8198,8317,8413,8541,8634,8747,8837,8949,9059,9199,9317,9432,9533,9664,9760,9874,9987,10105,10221,10354,10485,10617,10750,10879,10990,11122,11264,11387,11508,11666,11790,11921,12066,12207,12353,12507,12652,12805,12944,13081,13233,13381,13520,13659,13783,13910,14061,14193,14340,14490,14628,14774,14908,15048,15214,15367,15503,15640,15779,15940,16086,16242,16405,16588,16740,16922,17106,17290,17474,17646,17824,18001,18181,18385,18562,18768,18971,19161,19337,19524,19724,19922,20111,20306,20512,20718,20939,21137,21319,21539,21734,21940,22151,22360,22560,22780,23026,23246,23476,23694,23923,24189,24411,24670,24924,25207,25489,25766,26027,26294,26574,26872,27172,27494,27835,28168,28518,28861,29176,29514,29855,30190,30532,30897,31276,31666,32103,32493,32871,33253,33656,34028,34447,34858,35266,35674,36106,36529,36976,37405,37859,38302,38756,39215,39685,40165,40688,41179,41666,42199,42688,43225,43732,44247,44765,45321,45940,46505,47087,47666,48305,48906,49540,50161,50780,51410,52061,52717,53374,54030,54754,55452,56211,56939,57750,58551,59368,60204,61061,61950,62784,63628,64571,65544,66521,67479,68433,69464,70468,71474,72496,73519,74556,75669,76756,77871,79076,80252,81400,82529,83722,84918,86083,87302,88498,89756,91035,92263,93542,94825
1,1,1,1,1,1,1,4,6,9,9,9,10,11,13,14,17,18,19,20,20,22,24,27,30,34,38,42,49,54,58,64,70,82,88,98,111,123,125,133,142,151,156,164,169,173,186,196,201,212,221,237,241,253,260,270,279,286,296,303,316,325,334,347,360,371,379,392,400,418,440,458,465,476,489,511,528,555,585,599,621,649,679,702,729,760,792,825,855,886,929,967,1011,1038,1072,1110,1152,1175,1207,1241,1273,1319,1371,1415,1462,1500,1548,1590,1651,1710,1756,1824,1872,1939,2004,2073,2132,2196,2259,2329,2389,2442,2497,2555,2604,2668,2731,2811,2895,2979,3041,3112,3177,3239,3322,3395,3475,3546,3618,3685,3771,3846,3937,4037,4122,4216,4295,4391,4486,4569,4642,4734,4842,4954,5043,5136,5225,5334,5446,5537,5657,5790,5911,6057,6185,6321,6447,6567,6709,6831,6969,7095,7224,7350,7502,7654,7792,7948,8094,8246,8423,8600,8742,8920,9093,9298,9497,9690,9878,10070,10263,10455,10653,10854,11058,11248,11423,11631,11861,12052,12248,12448,12654,12854,13064,13298,13536,13729,13953,14171,14404,14615,14833,15025,15244,15484,15691,15929,16194,16470,16710,16992,17268,17518,17767,18056,18342,18666,18993,19270,19607,19936,20265,20592,20925,21260,21618,21941,22269,22625,22969,23335,23695,24037,24446,24799,25146,25545,25940,26290,26676,27064,27449,27842,28285,28699,29101,29548,29966,30440,30909,31382,31831,32334,32833,33361,33858,34377,34932,35494,36072,36617,37218,37805,38408,39009,39678,40254,40826,41483,42103,42710,43330,44007,44627,45259,45998,46706,47337,47951,48638,49335,49981,50648,51322,52021,52732,53502,54260,55029,55806,56521,57289,58091,58914,59816,60648,61449,62236,63044,63923,64795,65671,66591,67553,68501,69459,70415,71399,72449,73514,74578,75728,76866,77988,79191,80381,81615,82827,84093,85353,86647,87966,89295,90649,92056,93443,94797,96200,97642,99038,100466,101887,103352,104821,106332,107843,109359,110854,112467,114043,115642,117306,118900,120668,122352,123998,125714,127413,129190,130968,132869,134672,136612,138535,140421,142363,144267,146271,148319,150394,152524,154702,156860,159042,161281,163590,165850,168133,170503,172936,175408,177819,180348,182917,185572,188261,190993,193670,196542,199358,202272,205186,208181,211107,214127,217234,220391,223551,226681,229970,233204,236726,240171,243605,247225,250886,254550,258234,261925,265684,269554,273435,277376,281442,285490,289710,293994,298266,302497,306829,311243,315729,320330,324872,329419,334093,338758,343479,348193,353056,358000,363001,368142,373195,378449,383522,388778,394023,399557,404907,410530,416144,421754,427616,433445,439447,445569,451706,457887,464109,470456,476848,483417,490140,496758,503479,510372,517375,524432,531490,538709,545774,553033,560574,567941,575561,583239,590896,598771,606849,614825,622983,631182,639570,648072,656700,665362,674235,683080,692096,701131,710389,719701,729066,738730,748336,758148,768069,778141,788222,798560,809005,819638,830345,841180,852050
1,1,1,2,3,4,4,5,7,8,9,9,14,24,25,27,31,35,40,49,53,59,62,70,78,90,97,108,114,119,124,130,139,152,156,167,172,180,183,197,207,211,218,228,235,240,246,257,265,272,280,288,296,307,313,320,324,331,337,342,354,369,385,402,414,425,440,453,466,473,483,491,500,513,524,531,545,547,557,565,578,595,609,625,643,668,684,704,729,749,770,802,825,853,877,911,948,972,1003,1035,1074,1093,1121,1149,1181,1222,1247,1296,1331,1362,1401,1450,1490,1535,1590,1629,1663,1701,1737,1787,1845,1886,1937,1982,2048,2100,2139,2187,2230,2286,2330,2373,2428,2484,2548,2615,2675,2741,2797,2840,2894,2956,3024,3075,3121,3179,3230,3287,3355,3416,3471,3527,3584,3647,3718,3796,3856,3924,3981,4044,4101,4175,4245,4316,4376,4442,4536,4611,4674,4756,4839,4917,5004,5078,5158,5252,5347,5440,5526,5622,5716,5793,5881,5981,6079,6161,6259,6353,6457,6566,6666,6747,6854,6954,7061,7149,7259,7350,7473,7585,7693,7786,7898,7984,8099,8223,8342,8447,8543,8631,8735,8839,8934,9039,9147,9257,9356,9469,9584,9696,9809,9925,10045,10174,10290,10420,10554,10696,10847,10972,11131,11301,11441,11590,11734,11883,12027,12186,12319,12465,12610,12774,12928,13089,13263,13447,13606,13771,13975,14154,14369,14566,14799,15017,15181,15354,15547,15742,15965,16195,16412,16638,16847,17062,17305,17562,17779,18007,18238,18520,18779,19034,19302,19586,19861,20130,20427,20730,21038,21292,21571,21857,22145,22483,22804,23119,23426,23760,24086,24458,24803,25136,25478,25842,26211,26553,26891,27241,27577,27915,28272,28636,28999,29393,29787,30220,30607,30978,31367,31796,32238,32712,33172,33629,34109,34576,35022,35545,36071,36600,37144,37687,38196,38718,39236,39809,40390,40941,41522,42058,42632,43196,43796,44425,45041,45601,46200,46854,47494,48138,48768,49443,50093,50758,51421,52104,52788,53472,54186,54841,55518,56242,56944,57665,58445,59209,59985,60749,61555,62358,63256,64074,64977,65842,66735,67649,68617,69551,70517,71518,72593,73554,74547,75544,76554,77627,78702,79871,81020,82148,83227,84333,85431,86651,87752,88935,90142,91350,92600,93851,95096,96356,97589,98920,100275,101642,102928,104335,105770,107299,108761,110284,111755,113310,114934,116454,118075,119737,121386,123053,124756,126460,128127,129910,131786,133575,135427,137266,139212,141122,143074,145076,147134,149150,151215,153292,155450,157633,159890,162091,164312,166486,168725,171143,173389,175760,178144,180749,183255,185781,188273,190900,193489,196111,198810,201516,204314,207128,210041,212902,215805,218756,221865,224906,228076,231224,234489,237802,241057,244406,247781,251328,254890,258455,262063,265805,269696,273486,277327,281198,285211,289174,293343,297566,301728,306137,310345,314781,319248,323708,328184,332804,337501,342282,347068,351923,356906,361871,366955,372067,377280,382601,387965,393290,398755,404246,410054
1,1,3,6,7,9,11,15,21,24,26,26,31,32,38,43,47,53,57,63,72,75,81,86,93,108,117,128,135,148,160,164,171,177,186,195,206,214,219,230,239,251,259,275,284,294,310,321,340,349,361,376,393,424,441,465,485,500,527,546,567,594,632,653,682,708,733,763,789,821,852,881,909,932,965,993,1021,1061,1085,1109,1151,1198,1239,1286,1331,1384,1421,1462,1501,1556,1599,1640,1688,1730,1791,1839,1877,1938,1986,2041,2091,2142,2196,2230,2281,2336,2382,2431,2477,2519,2566,2618,2668,2727,2775,2829,2893,2964,3029,3103,3160,3208,3265,3335,3401,3479,3549,3619,3713,3796,3887,3960,4029,4110,4190,4294,4377,4456,4570,4679,4788,4880,4980,5079,5186,5287,5400,5516,5633,5739,5833,5958,6089,6209,6325,6434,6536,6653,6778,6882,7005,7118,7233,7361,7486,7620,7753,7882,8035,8161,8303,8440,8584,8723,8892,9050,9197,9373,9534,9684,9843,10011,10195,10379,10542,10705,10899,11104,11313,11500,11702,11891,12069,12268,12453,12646,12854,13060,13252,13440,13637,13836,14033,14229,14432,14606,14799,14997,15191,15383,15600,15800,16007,16224,16423,16636,16841,17051,17271,17482,17680,17873,18092,18286,18510,18728,18942,19153,19360,19594,19811,20061,20316,20556,20814,21116,21386,21676,21949,22197,22453,22706,22988,23314,23598,23927,24260,24598,24896,25225,25561,25895,26218,26550,26905,27222,27606,27994,28379,28756,29150,29516,29925,30364,30765,31202,31645,32077,32511,32986,33459,33975,34465,34972,35491,35972,36488,37011,37610,38114,38661,39202,39791,40378,40979,41600,42263,42919,43546,44203,44847,45552,46210,46958,47620,48312,49014,49709,50481,51211,51914,52599,53343,54120,54868,55606,56414,57200,58015,58774,59534,60292,61124,61921,62723,63526,64383,65302,66233,67131,68012,68949,69903,70885,71936,72951,73990,75054,76064,77218,78348,79514,80714,81969,83180,84403,85637,86976,88249,89579,90929,92235,93519,94914,96288,97690,99127,100537,101956,103417,104883,106291,107762,109220,110724,112256,113799,115325,116964,118561,120227,121851,123608,125398,127265,129051,130865,132689,134546,136418,138370,140344,142257,144284,146319,148401,150476,152725,154900,157224,159531,161929,164368,166739,169194,171667,174214,176791,179434,182012,184795,187570,190393,193225,196096,198903,201809,204801,207820,210883,214060,217184,220385,223659,227026,230375,233697,237134,240570,243991,247463,251172,254841,258521,262313,266166,270087,274160,278153,282301,286428,290630,294859,299259,303729,308239,312789,317373,321984,326701,331610,336458,341485,346532,351622,356783,361952,367307,372753,378148,383632,389186,394755,400520,406493,412543,418507,424627,430811,436907,443250,449843,456496,463153,469960,476756,483847,490976,498184,505476,512820,520193,527572,535134,542846,550536,558307,566311,574287,582431,590656,599058,607452,615904,624421,633047,641762,650477,659539,668591,677799,687058,696354,705700,715316,724815,734508,744491,754393,764562,775031,785331,795924,806801,817638,828604,839692
1,1,1,1,1,1,1,2,3,5,5,5,7,11,16,20,24,26,32,41,44,50,57,61,69,85,87,92,101,118,130,145,149,158,171,178,189,201,209,219,228,244,256,271,282,299,317,334,356,374,396,413,429,443,470,493,506,531,555,579,594,632,657,680,708,733,766,794,820,851,886,920,953,978,1010,1058,1088,1133,1172,1202,1248,1287,1335,1368,1406,1447,1507,1559,1606,1663,1720,1774,1834,1895,1962,2020,2092,2161,2256,2329,2416,2492,2572,2649,2741,2823,2912,2996,3082,3180,3282,3383,3497,3579,3675,3776,3866,3996,4087,4178,4277,4383,4497,4598,4697,4806,4907,4997,5098,5196,5295,5395,5473,5578,5692,5799,5890,5981,6096,6217,6330,6448,6561,6694,6805,6923,7052,7171,7289,7408,7522,7648,7795,7942,8073,8209,8353,8495,8647,8797,8949,9093,9249,9416,9579,9715,9860,10021,10175,10346,10533,10708,10884,11053,11239,11446,11624,11800,11992,12179,12362,12559,12745,12940,13149,13352,13551,13787,14020,14236,14437,14679,14920,15151,15392,15634,15884,16155,16407,16618,16872,17144,17411,17659,17950,18239,18557,18870,19152,19466,19792,20113,20439,20744,21059,21379,21676,21989,22381,22729,23106,23497,23869,24264,24653,25008,25416,25798,26191,26603,27032,27460,27864,28283,28650,29078,29504,29935,30360,30814,31230,31674,32131,32633,33133,33643,34112,34583,35115,35567,36109,36666,37169,37755,38267,38797,39369,39941,40510,41080,41627,42187,42756,43364,43879,44469,45021,45648,46283,46927,47574,48151,48778,49385,50044,50687,51280,51931,52624,53301,54016,54756,55475,56232,56980,57705,58443,59180,59934,60737,61528,62331,63099,63907,64705,65501,66312,67142,67971,68860,69758,70639,71564,72471,73324,74179,75097,76074,77009,77993,78936,79961,80910,81946,82959,84025,84998,86037,87121,88219,89363,90493,91599,92716,93879,95061,96309,97528,98683,99957,101238,102532,103825,105102,106467,107851,109192,110579,112003,113442,114860,116319,117794,119375,120923,122552,124192,125868,127541,129235,130932,132642,134397,136210,138106,139854,141688,143511,145348,147226,149111,151032,152976,155071,157065,159164,161241,163359,165406,167485,169679,171908,174051,176250,178595,180883,183302,185618,187873,190240,192659,195126,197605,200133,202631,205255,207949,210592,213318,216047,218746,221546,224356,227181,230059,233021,236003,238964,242070,245146,248325,251449,254552,257725,261009,264234,267519,270724,274136,277620,281040,284665,288228,291809,295341,298908,302645,306421,310246,314142,318070,321988,325934,329948,334074,338071,342224,346410,350726,355081,359452,363940,368523,373139,377872,382452,387211,391931,396752,401538,406676,411866,416903,422080,427348,432697,438049,443533,449052,454674,460278,465991,471937,477888,483882,489959,496074,502325,508577,514919,521465,527816,534502,541261,548142,555302,562494,569577,576682,583964,591548,599043,606756,614555,622413,630410,638415,646440,654674,662998,671438,680032,688667,697484,706340,715243,724201,733172,742256,751339,760608,769967,779428,789065,798505,808400,818371
1,1,1,1,1,2,4,5,7,9,10,15,15,17,23,24,31,32,39,44,47,53,54,65,71,76,88,101,109,116,125,133,142,147,151,161,170,177,183,191,196,210,214,218,222,227,231,237,245,247,254,257,262,266,268,270,273,276,279,285,291,296,301,307,313,321,326,334,341,354,364,372,383,392,400,411,421,432,443,465,479,496,520,534,547,569,586,613,628,644,663,685,706,732,762,787,817,839,861,884,913,943,996,1025,1066,1109,1150,1180,1220,1260,1307,1356,1407,1459,1515,1571,1615,1661,1706,1758,1804,1854,1895,1938,1980,2018,2056,2103,2137,2171,2210,2249,2297,2338,2371,2417,2456,2491,2525,2554,2586,2618,2653,2685,2716,2740,2765,2807,2843,2877,2912,2958,2997,3034,3083,3127,3173,3221,3265,3314,3366,3418,3454,3501,3566,3636,3702,3783,3861,3926,3979,4042,4103,4161,4221,4283,4366,4432,4505,4584,4675,4748,4827,4910,4993,5076,5160,5244,5318,5398,5486,5560,5651,5756,5864,5975,6066,6181,6276,6381,6493,6593,6688,6800,6888,7002,7110,7216,7326,7436,7546,7657,7778,7906,8028,8143,8256,8393,8523,8641,8762,8904,9035,9172,9330,9461,9594,9733,9879,10044,10175,10347,10482,10639,10799,10962,11143,11337,11519,11709,11881,12071,12266,12474,12672,12890,13081,13343,13568,13810,14059,14343,14597,14871,15130,15412,15673,15946,16236,16530,16809,17072,17348,17634,17921,18220,18489,18775,19051,19347,19664,19933,20236,20539,20845,21162,21492,21807,22089,22413,22791,23122,23471,23844,24181,24505,24862,25242,25644,26061,26476,26871,27282,27684,28101,28498,28898,29354,29799,30251,30707,31175,31668,32130,32634,33141,33651,34182,34686,35251,35792,36352,36881,37433,38007,38633,39269,39851,40470,41113,41753,42381,43002,43703,44451,45141,45829,46531,47237,47951,48681,49427,50180,50948,51738,52501,53312,54080,54829,55706,56499,57381,58186,59017,59867,60747,61603,62419,63269,64192,65021,65928,66849,67791,68738,69689,70591,71570,72620,73648,74697,75671,76694,77772,78766,79823,80916,82027,83131,84235,85350,86498,87661,88884,90064,91295,92499,93786,95075,96390,97670,98959,100243,101569,102934,104331,105754,107164,108649,110122,111563,113200,114700,116246,117850,119406,121108,122804,124481,126147,127897,129612,131393,133084,134820,136692,138512,140451,142290,144224,146307,148408,150533,152648,154701,156907,159059,161246,163354,165669,167934,170270,172623,175017,177307,179765,182270,184797,187318,189933,192477,195028,197681,200408,203059,205820,208623,211473,214249,217101,220034,222936,225904,229044,232152,235338,238593,241784,245014,248388,251754,255139,258571,262169,265869,269469,273273,276942,280893,284757,288720,292779,296907,301110,305390,309676,314047,318481,322935,327584,332174,336870,341581,346411,351336,356303,361349,366489,371735,377207,382587,387983,393592,399233,404857,410584,416601,422386,428260,434340,440553,446779,453052,459330,465755,472397,478924
1,1,1,1,1,1,1,2,2,2,4,5,6,6,9,9,9,10,12,17,21,22,24,25,28,32,32,33,39,46,50,56,60,63,72,81,86,90,94,99,110,119,129,132,136,143,153,157,170,175,182,194,197,199,201,207,212,221,229,237,243,249,254,264,271,284,287,291,293,296,302,311,314,320,329,335,343,349,352,359,368,372,380,393,403,413,431,446,461,474,485,503,519,536,547,554,567,580,600,629,650,669,691,708,736,759,776,807,830,871,898,925,958,989,1024,1058,1102,1140,1182,1215,1258,1301,1352,1397,1441,1478,1515,1560,1599,1625,1675,1726,1769,1822,1867,1910,1964,2021,2073,2126,2183,2239,2298,2363,2414,2486,2545,2596,2674,2742,2820,2899,2984,3055,3116,3198,3273,3349,3434,3528,3616,3696,3793,3874,3950,4033,4130,4220,4311,4413,4516,4636,4738,4838,4952,5094,5216,5326,5440,5570,5700,5822,5946,6084,6222,6375,6508,6643,6794,6934,7068,7191,7329,7495,7622,7786,7913,8067,8212,8354,8514,8656,8834,8972,9117,9264,9444,9622,9784,9938,10099,10266,10423,10614,10786,11004,11187,11387,11581,11799,11986,12224,12443,12689,12932,13174,13414,13658,13897,14146,14439,14729,15008,15317,15624,15919,16208,16524,16838,17136,17432,17711,18005,18292,18595,18899,19207,19514,19814,20097,20384,20699,21031,21358,21672,22000,22344,22680,23033,23385,23744,24122,24472,24857,25268,25634,26020,26412,26812,27238,27638,28066,28480,28946,29380,29826,30302,30771,31277,31784,32272,32767,33307,33832,34372,34964,35550,36111,36701,37296,37885,38509,39124,39776,40403,41085,41758,42440,43088,43797,44507,45192,45914,46663,47471,48209,48935,49697,50491,51270,52036,52821,53620,54491,55361,56200,57056,57968,58876,59834,60724,61692,62619,63634,64754,65801,66900,68047,69125,70249,71428,72631,73801,75002,76198,77480,78768,80085,81443,82778,84125,85421,86735,88113,89539,90901,92269,93765,95201,96658,98086,99608,101153,102690,104304,105894,107453,109063,110747,112416,114138,115918,117663,119479,121281,123190,125046,126897,128823,130720,132591,134552,136512,138558,140572,142626,144742,146895,149127,151385,153639,155824,158085,160382,162749,165181,167675,170157,172668,175152,177784,180424,183004,185738,188410,191188,194043,196769,199599,202446,205362,208391,211501,214572,217738,221053,224266,227586,230991,234423,237978,241429,245015,248731,252418,256178,260009,263844,267865,271813,275819,279820,283963,288087,292153,296395,300665,304986,309534,313943,318587,323140,327785,332487,337236,342207,347132,352194,357362,362327,367346,372646,378084,383587,389029,394515,400122,405861,411548,417431,423343,429380,435527,441638,447866,454100,460385,466761,473263,480036,486665,493316,500193,507173,514050,521057,528197,535533,542914,550343,557734,565358,572990,580650,588482,596499,604635,612927,621393,629674,638011,646508,655149,663962,672938,682037,691318,700588,709996,719586,729266,738714,748633,758629,768676,778834,789150
1,1,4,4,5,6,7,9,9,9,13,19,27,32,40,44,50,55,64,71,78,84,93,102,110,120,134,144,156,163,177,187,196,213,224,237,252,265,277,280,286,291,297,310,323,336,351,365,376,391,405,416,428,437,448,461,467,479,495,506,522,531,540,549,561,569,582,598,619,631,653,665,684,703,725,748,776,793,820,838,854,871,900,935,960,978,1001,1018,1045,1082,1106,1132,1151,1177,1195,1226,1256,1285,1308,1330,1361,1388,1411,1438,1469,1494,1523,1555,1579,1612,1649,1683,1715,1751,1776,1798,1834,1856,1884,1905,1928,1956,1990,2030,2058,2093,2132,2167,2196,2231,2275,2327,2374,2410,2464,2509,2547,2589,2641,2697,2737,2795,2860,2914,2970,3031,3094,3145,3201,3247,3292,3347,3386,3430,3479,3534,3581,3632,3674,3711,3755,3785,3823,3854,3884,3927,3957,3993,4049,4099,4154,4194,4223,4257,4310,4368,4399,4436,4468,4512,4567,4616,4659,4707,4761,4812,4863,4924,4983,5030,5078,5147,5195,5246,5304,5361,5436,5514,5584,5653,5723,5789,5865,5941,6009,6082,6151,6227,6314,6390,6470,6545,6624,6719,6798,6868,6939,7010,7091,7158,7232,7314,7387,7456,7528,7590,7669,7744,7810,7888,7963,8044,8106,8173,8260,8328,8411,8500,8576,8668,8765,8849,8942,9034,9128,9224,9325,9418,9522,9620,9739,9868,9969,10089,10221,10330,10459,10572,10683,10815,10933,11051,11193,11323,11452,11596,11738,11881,12005,12146,12268,12409,12558,12687,12839,12983,13157,13310,13451,13596,13757,13910,14056,14236,14400,14569,14717,14909,15068,15259,15446,15619,15791,15977,16171,16356,16573,16752,16948,17130,17292,17471,17651,17839,18016,18206,18385,18582,18777,18963,19125,19311,19491,19691,19908,20105,20308,20508,20721,20926,21155,21387,21598,21823,22035,22286,22526,22776,23023,23285,23504,23741,24007,24284,24558,24834,25114,25390,25658,25962,26268,26588,26917,27198,27490,27777,28071,28380,28711,29042,29329,29618,29942,30241,30601,30964,31308,31668,32005,32355,32707,33041,33367,33747,34090,34470,34854,35241,35671,36045,36467,36877,37303,37757,38185,38664,39116,39588,40025,40464,40953,41425,41927,42434,42917,43399,43943,44463,44968,45524,46028,46588,47132,47673,48227,48755,49326,49849,50439,51034,51635,52310,52949,53561,54195,54887,55559,56256,56889,57583,58296,58979,59664,60411,61214,61990,62743,63527,64328,65177,65965,66767,67563,68415,69254,70089,70937,71740,72601,73490,74389,75298,76225,77118,78097,79035,80025,80988,81941,82991,84009,85094,86133,87220,88313,89372,90466,91583,92739,93886,95076,96294,97475,98678,99865,101135,102424,103651,104938,106212,107483,108884,110324,111721,113137,114557,115954,117390,118843,120328,121902,123424,124962,126493,128111,129790,131477,133118,134868,136718,138473,140297,142218,144160,146063,148059,149987,151972,154077,156164,158233,160362,162485,164616,166803,168982,171228
1,1,1,5,5,7,7,8,8,9,9,11,11,13,14,18,19,21,22,23,27,30,32,38,41,44,48,52,59,66,68,69,73,83,90,97,106,114,122,133,141,149,153,162,168,177,181,192,201,208,213,221,228,240,247,254,264,268,273,277,279,284,290,291,294,298,305,311,313,315,317,323,326,332,335,336,340,342,343,347,348,350,355,357,366,368,372,377,378,379,384,393,401,409,416,427,433,437,442,454,463,472,478,485,493,500,511,518,530,533,540,544,558,568,577,582,594,606,612,621,631,637,647,650,659,664,670,674,682,686,695,703,710,719,727,737,746,752,759,769,777,790,799,809,824,835,844,856,870,888,897,907,912,917,924,928,932,939,952,964,973,987,994,1008,1025,1040,1055,1075,1089,1107,1130,1149,1159,1179,1198,1225,1249,1268,1297,1317,1340,1365,1388,1411,1433,1459,1490,1508,1533,1561,1593,1618,1643,1669,1688,1713,1733,1753,1780,1804,1831,1861,1886,1921,1946,1972,2004,2041,2076,2108,2142,2170,2196,2230,2265,2301,2337,2374,2419,2454,2491,2524,2556,2593,2621,2642,2666,2706,2747,2778,2824,2863,2913,2965,3007,3048,3107,3158,3203,3270,3334,3396,3455,3524,3584,3646,3708,3783,3858,3928,3989,4061,4136,4211,4286,4358,4444,4523,4609,4683,4775,4854,4950,5026,5113,5203,5300,5404,5496,5587,5688,5789,5887,5989,6105,6215,6346,6437,6555,6682,6793,6915,7028,7150,7258,7375,7508,7628,7764,7895,8035,8168,8306,8447,8594,8755,8896,9048,9221,9387,9576,9753,9950,10137,10335,10559,10807,11032,11272,11524,11741,11984,12236,12485,12743,12995,13272,13547,13803,14067,14361,14653,14926,15204,15487,15778,16044,16307,16592,16903,17206,17522,17829,18137,18458,18804,19102,19406,19717,20052,20409,20747,21095,21425,21797,22191,22600,22976,23387,23808,24233,24693,25155,25573,26043,26526,26979,27431,27916,28405,28907,29416,29905,30433,30973,31492,32053,32591,33144,33724,34246,34771,35343,35921,36481,37073,37635,38239,38835,39413,40022,40590,41268,41914,42562,43176,43809,44450,45130,45801,46491,47171,47859,48554,49289,50032,50747,51476,52237,52981,53703,54425,55258,56131,56994,57768,58626,59444,60337,61180,62088,63021,63902,64818,65751,66677,67610,68533,69501,70480,71468,72452,73496,74531,75601,76668,77729,78795,79861,80957,82082,83234,84344,85477,86593,87851,89074,90286,91551,92785,94122,95517,96884,98244,99635,101086,102526,104026,105439,106899,108391,109923,111462,112999,114561,116092,117684,119240,120918,122553,124202,125893,127599,129281,130963,132696,134465,136221,138043,139938,141848,143733,145638,147593,149519,151537,153542,155635,157763,159982,162218,164483,166689,168915,171186,173536,175949,178476,181013,183426,185938,188598,191244,193999,196743,199505,202384
1,1,1,1,3,5,6,7,11,13,18,24,31,34,40,47,50,56,63,70,76,88,94,112,127,139,154,168,185,194,203,216,226,235,246,259,267,278,295,312,328,341,363,386,403,429,445,463,486,511,539,561,576,604,631,652,681,707,737,762,803,832,856,878,894,921,946,970,989,1008,1035,1065,1086,1107,1133,1155,1179,1197,1219,1245,1268,1288,1313,1328,1353,1381,1405,1426,1450,1468,1486,1507,1536,1560,1575,1595,1607,1627,1637,1665,1693,1715,1731,1751,1785,1808,1835,1863,1891,1910,1935,1964,1989,2013,2042,2077,2108,2163,2198,2235,2265,2307,2343,2383,2425,2476,2515,2556,2599,2647,2690,2734,2774,2817,2863,2907,2957,3002,3046,3103,3167,3224,3290,3347,3397,3449,3515,3580,3641,3689,3754,3808,3864,3924,3997,4060,4127,4187,4248,4334,4400,4471,4543,4608,4678,4748,4810,4866,4958,5024,5113,5182,5263,5376,5466,5568,5655,5743,5823,5911,5994,6087,6177,6276,6371,6476,6578,6675,6815,6909,7016,7138,7249,7365,7478,7616,7728,7835,7948,8055,8157,8282,8410,8537,8665,8805,8946,9095,9250,9401,9553,9695,9827,10003,10167,10332,10506,10674,10841,11013,11193,11379,11576,11775,11962,12153,12345,12546,12756,12970,13190,13405,13623,13845,14054,14293,14567,14806,15062,15334,15580,15866,16135,16414,16702,16947,17242,17484,17748,18017,18297,18583,18844,19130,19433,19721,20009,20306,20622,20929,21209,21516,21822,22135,22443,22758,23091,23411,23709,24019,24298,24587,24927,25223,25519,25821,26122,26443,26796,27129,27467,27763,28088,28413,28774,29096,29452,29822,30205,30589,30974,31394,31833,32224,32635,33043,33479,33921,34408,34832,35308,35729,36191,36718,37198,37696,38191,38742,39264,39768,40334,40843,41419,41957,42576,43175,43776,44394,45020,45649,46278,46910,47555,48257,48990,49669,50448,51166,51952,52776,53500,54307,55055,55881,56666,57473,58321,59125,59947,60801,61648,62496,63374,64208,65044,65952,66875,67812,68700,69651,70576,71516,72450,73447,74384,75460,76502,77505,78519,79499,80579,81649,82723,83840,84952,86057,87221,88329,89519,90731,91944,93060,94238,95536,96795,98038,99355,100582,101941,103193,104514,105857,107222,108609,109948,111353,112870,114307,115751,117248,118756,120303,121845,123376,124975,126571,128253,129860,131538,133250,134959,136741,138577,140427,142249,144111,145984,147864,149797,151767,153759,155732,157729,159790,161855,163945,166063,168180,170347,172466,174630,176796,179118,181346,183699,186063,188373,190783,193199,195656,198164,200702,203271,205875,208535,211042,213789,216518,219395,222243,225144,228081,231063,234080,237004,240046,243199,246350,249536,252689,255918,259158,262492,265864,269225,272599,275974,279408,282986,286534,290111,293752,297519,301221,305091,308989,312955,316797,320730,324751,328792,332841,337000,341169,345550,349874,354129,358507,362859,367355,371803,376469,381199,385863,390727,395634,400545,405453,410593,415743,420956,426108,431373,436825,442268,447755,453284
1,1,1,1,1,3,3,5,5,7,7,9,12,19,27,33,38,47,57,63,74,78,94,108,125,133,142,152,165,189,205,225,241,260,298,319,338,360,379,399,417,432,463,488,517,536,556,578,603,626,651,672,689,708,731,759,776,796,817,842,867,888,911,929,958,972,1003,1032,1061,1085,1122,1149,1177,1205,1240,1271,1308,1347,1392,1430,1468,1509,1559,1610,1663,1703,1753,1797,1852,1916,1965,2038,2108,2167,2238,2289,2347,2409,2475,2550,2617,2684,2771,2841,2918,2988,3044,3100,3164,3218,3299,3352,3423,3499,3567,3646,3724,3814,3886,3951,4023,4108,4190,4278,4380,4495,4620,4709,4834,4942,5080,5216,5364,5515,5672,5811,5983,6125,6266,6420,6591,6765,6932,7113,7291,7499,7710,7916,8106,8320,8512,8716,8923,9141,9372,9562,9779,9979,10212,10425,10658,10874,11093,11334,11561,11809,12053,12293,12530,12758,13033,13284,13538,13801,14062,14323,14560,14832,15108,15356,15641,15941,16231,16509,16816,17146,17435,17760,18099,18443,18770,19072,19410,19766,20102,20464,20870,21224,21585,21940,22304,22684,23054,23419,23782,24167,24543,24889,25298,25682,26074,26441,26841,27209,27584,27941,28340,28735,29101,29517,29889,30268,30689,31093,31525,31909,32331,32733,33151,33574,33980,34400,34828,35274,35678,36118,36554,37002,37456,37879,38310,38750,39183,39631,40072,40525,40986,41494,41990,42470,43019,43515,44047,44562,45103,45671,46266,46864,47446,48024,48680,49368,50030,50741,51451,52124,52821,53517,54226,54929,55656,56412,57214,57989,58794,59603,60414,61239,62081,62958,63890,64796,65704,66632,67540,68468,69470,70477,71551,72608,73667,74768,75794,76943,78060,79175,80338,81499,82674,83878,85087,86242,87437,88659,89924,91162,92393,93577,94852,96220,97648,99034,100442,101868,103325,104842,106387,107930,109475,111026,112659,114239,115860,117562,119259,120998,122722,124555,126381,128148,130057,131916,133829,135831,137764,139787,141823,143892,145952,148073,150159,152311,154430,156640,158934,161267,163570,165933,168279,170721,173264,175754,178269,180914,183442,186087,188878,191640,194468,197220,199961,202780,205717,208671,211597,214611,217619,220739,223946,227213,230485,233857,237274,240707,244156,247577,251203,254663,258287,261888,265679,269624,273373,277220,281159,285108,289133,293266,297407,301592,305834,310186,314557,319057,323436,327959,332586,337266,341994,346773,351610,356452,361429,366308,371346,376463,381643,386918,392181,397599,403080,408571,414114,419916,425863,431576,437363,443254,449297,455558,461846,468155,474450,480889,487357,493891,500639,507497,514327,521262,528484,535788,543118,550397,557992,565682,573378,581160,588844,596766,604764,612811,620825,629037,637099,645604,653886,662345,670819,679467,687895,696449,705205,713939,722879,731914,740988,750147,759397,768652,778001,787342,797116,806936,816557,826708,836721,846872,857228,867553,878235,888917,899944,911054,922415,933730,945340,957068,969213,981358,993467,1005890,1018200,1030932,1043567,1056271,1069269,1082354,1095743,1109159,1122786,1136386,1150255,1164518,1178872,1193329,1207759
1,1,1,1,2,2,8,8,9,11,12,13,13,13,13,13,15,19,20,22,24,26,28,32,35,39,47,49,53,63,75,80,88,97,102,117,124,127,135,143,159,174,186,196,212,224,240,250,258,271,285,302,326,352,365,382,401,412,433,450,468,492,510,532,549,582,598,608,627,642,657,680,693,712,731,750,770,793,815,842,863,889,913,941,960,987,1015,1038,1069,1099,1136,1174,1211,1254,1291,1336,1374,1420,1475,1526,1583,1619,1671,1721,1770,1823,1885,1943,1989,2044,2101,2164,2231,2294,2358,2418,2484,2550,2614,2689,2757,2828,2897,2977,3058,3142,3234,3310,3420,3512,3608,3696,3788,3908,4015,4126,4218,4337,4457,4576,4699,4836,4945,5081,5199,5308,5417,5511,5617,5738,5864,5990,6107,6227,6355,6474,6559,6667,6779,6903,7017,7129,7242,7365,7477,7593,7685,7798,7925,8036,8185,8309,8428,8563,8687,8821,8936,9067,9215,9364,9524,9700,9854,10039,10201,10400,10575,10732,10886,11070,11259,11444,11621,11804,11968,12144,12314,12500,12662,12831,13000,13199,13366,13536,13715,13898,14086,14240,14414,14567,14745,14939,15120,15282,15475,15654,15822,16030,16238,16430,16637,16817,17022,17221,17438,17633,17830,18007,18216,18407,18627,18844,19067,19253,19456,19658,19865,20095,20306,20527,20741,20935,21145,21387,21625,21877,22107,22359,22598,22830,23062,23306,23550,23808,24035,24289,24534,24779,25046,25310,25612,25876,26163,26423,26681,26927,27234,27542,27848,28132,28382,28667,28971,29285,29571,29937,30265,30618,30937,31271,31619,32002,32366,32722,33094,33471,33843,34231,34616,35009,35410,35851,36263,36687,37128,37549,37989,38451,38902,39393,39829,40269,40781,41235,41767,42274,42767,43287,43805,44330,44877,45466,46015,46621,47199,47758,48340,48914,49498,50121,50747,51371,52016,52630,53294,53969,54629,55312,55975,56646,57362,58072,58787,59493,60217,61015,61768,62561,63351,64152,64936,65759,66546,67398,68235,69109,70016,70880,71782,72746,73642,74591,75575,76559,77532,78504,79509,80529,81547,82619,83729,84854,85971,87058,88253,89337,90541,91728,92896,94072,95280,96439,97643,98852,100180,101435,102730,104049,105388,106724,108098,109546,111012,112452,113935,115432,116868,118378,119880,121496,123073,124646,126259,127915,129595,131276,132986,134833,136695,138535,140352,142251,144096,145972,147974,149888,151869,153746,155768,157829,159867,161985,164125,166293,168546,170714,172969,175343,177633,180018,182416,184834,187220,189712,192126,194689,197234,199931,202698,205448,208166,211012,213862,216782,219773,222810,225875,228837,231840,234927,238066,241213,244447,247821,251209,254559,258046,261441,264946,268586,272150,275852,279578,283264,286994,290904,294790,298705,302605,306636,310601,314715,318749,322945,327184,331570,336027,340290,344972,349498,354120,358847,363608,368468,373340,378438,383526,388596,393777,398971,404284,409662,414984,420421,426023,431618,437300,443216,449175,454886,460773,466880,472948,479182,485471,491826,498128
1,1,1,2,4,6,8,9,10,12,15,15,16,19,22,23,24,27,31,33,36,39,42,43,47,58,64,72,83,93,104,116,129,141,159,183,193,199,213,225,232,251,270,287,301,324,346,364,385,404,424,450,473,498,527,551,575,604,641,680,703,730,781,822,858,903,954,999,1055,1096,1141,1191,1242,1302,1354,1405,1448,1509,1560,1607,1649,1701,1763,1812,1863,1929,1985,2047,2105,2151,2206,2252,2298,2348,2411,2465,2520,2572,2630,2688,2738,2804,2851,2894,2942,2985,3032,3097,3157,3207,3251,3307,3370,3417,3484,3529,3600,3661,3725,3787,3855,3935,4017,4094,4162,4242,4319,4410,4492,4568,4662,4755,4843,4925,5014,5109,5228,5350,5451,5566,5654,5777,5890,5996,6121,6235,6349,6447,6555,6658,6779,6894,7016,7144,7260,7393,7522,7632,7776,7912,8036,8176,8324,8472,8617,8755,8923,9069,9230,9382,9534,9721,9879,10062,10244,10418,10610,10815,10996,11176,11375,11595,11790,11980,12172,12371,12566,12785,12988,13204,13435,13653,13863,14079,14293,14524,14793,15068,15286,15548,15807,16068,16360,16637,16943,17263,17552,17881,18214,18533,18857,19151,19481,19840,20206,20571,20949,21336,21725,22097,22495,22914,23304,23719,24151,24597,25053,25421,25881,26344,26773,27215,27670,28202,28628,29094,29594,30166,30641,31157,31671,32189,32737,33256,33847,34424,35037,35669,36265,36840,37429,38019,38679,39336,39970,40611,41310,42008,42718,43424,44139,44849,45596,46338,47087,47845,48627,49409,50248,51094,51975,52897,53798,54667,55637,56611,57599,58600,59663,60777,61819,62882,63961,65043,66176,67335,68512,69765,70980,72262,73497,74829,76139,77480,78784,80159,81537,82920,84345,85762,87216,88767,90265,91752,93291,94885,96471,98066,99720,101402,103075,104768,106577,108393,110185,111910,113670,115387,117143,119020,120858,122750,124681,126577,128595,130641,132606,134641,136744,138852,141056,143259,145421,147707,149984,152212,154593,156847,159121,161479,163881,166425,168923,171338,173878,176423,178990,181600,184134,186742,189431,192204,194930,197710,200435,203218,205976,208873,211786,214726,217796,220832,223766,226779,229854,232898,236053,239171,242372,245619,248896,252183,255502,258992,262472,265909,269386,272987,276709,280530,284289,288233,292063,296026,300132,304277,308413,312719,317038,321392,325911,330247,334833,339381,343956,348666,353355,358288,363210,368148,373260,378305,383370,388588,393839,399225,404482,409969,415465,421093,426860,432587,438297,444069,449972,455855,461901,468193,474364,480711,487265,493668,500211,506693,513333,520061,526982,533851,541015,548070,555215,562533,569895,577288,584726,592284,599891,607496,615442,623381,631653,639837,647899,656272,664787,673384,682186,690863,699733,708670,717795,726956,736237,745552,755023,764404,773897,783520,793338,803565,813410,823638,833953,844334,854775,865420,876376,887378,898489,909571,921215,932655,944133,955749,967771,979836,991971,1004398,1016990,1029629,1042331,1055296,1068404,1081706,1095194,1108729,1122466,1136357,1150686,1165044,1179597,1194291,1209267,1224176,1239535,1254903,1270359
1,1,1,2,2,3,3,3,3,7,8,9,10,11,13,15,17,22,29,37,40,47,51,57,67,77,83,95,102,112,124,130,138,149,156,162,169,179,188,199,209,214,222,231,246,257,266,272,278,289,298,308,319,333,344,357,373,387,394,417,433,454,481,515,546,563,593,624,649,676,714,744,780,822,867,899,939,986,1025,1067,1109,1135,1168,1213,1251,1290,1353,1394,1431,1493,1543,1592,1643,1691,1750,1802,1845,1890,1938,1991,2059,2110,2161,2232,2288,2361,2437,2502,2567,2617,2679,2738,2795,2862,2905,2969,3033,3082,3147,3211,3269,3324,3380,3447,3492,3557,3618,3675,3741,3825,3881,3938,3993,4076,4130,4202,4265,4343,4419,4499,4557,4637,4722,4815,4904,4988,5092,5188,5287,5379,5484,5581,5690,5772,5894,6013,6106,6236,6333,6443,6556,6659,6755,6859,6972,7083,7180,7302,7422,7548,7657,7769,7881,7981,8091,8206,8313,8425,8528,8656,8761,8870,8990,9124,9254,9349,9447,9556,9682,9805,9918,10060,10163,10283,10416,10526,10642,10756,10877,11010,11159,11315,11446,11566,11691,11810,11957,12082,12193,12316,12449,12594,12727,12855,12998,13117,13258,13401,13550,13691,13831,13988,14136,14274,14428,14566,14732,14887,15021,15188,15338,15473,15628,15765,15909,16049,16218,16373,16549,16706,16881,17046,17224,17390,17567,17719,17905,18097,18281,18502,18735,18953,19173,19408,19643,19904,20125,20358,20588,20844,21106,21338,21589,21825,22094,22360,22616,22904,23175,23429,23710,23986,24262,24537,24844,25146,25406,25693,25962,26270,26552,26873,27164,27470,27786,28079,28416,28743,29047,29373,29707,30018,30326,30668,31014,31381,31751,32105,32483,32798,33156,33495,33843,34195,34596,34969,35315,35656,36000,36378,36786,37173,37567,38006,38429,38858,39274,39710,40149,40624,41088,41552,42024,42534,43045,43558,44046,44552,45082,45609,46107,46659,47173,47731,48267,48783,49303,49830,50403,50987,51564,52183,52742,53314,53909,54557,55171,55821,56472,57164,57831,58520,59206,59917,60654,61403,62200,62988,63758,64581,65397,66239,67207,68125,69041,69958,70880,71870,72840,73873,74865,75890,76966,77999,79081,80146,81287,82434,83570,84835,86069,87344,88557,89811,91072,92360,93712,95022,96336,97634,99029,100442,101967,103404,104941,106431,107992,109569,111110,112744,114348,115960,117567,119302,120973,122690,124426,126213,128026,129894,131719,133585,135482,137359,139326,141282,143256,145332,147365,149453,151556,153649,155712,157912,160212,162421,164692,166887,169121,171444,173847,176145,178397,180758,183143,185535,187956,190503,192987,195560,198259,200863,203571,206375,209165,211927,214692,217478,220385,223327,226305,229362,232470,235552,238734,241865,245144,248402,251786,255446,258989,262584,266173,269859,273537,277354,281182,284892,288833,292931,297041,301192,305289,309555,313843,318272,322741,327202,331652,336156,340653,345333,349981,354650,359315,364106,368925,373705,378610,383749,388948,394064,399329,404573,409824,415341,420915
1,1,1,1,1,3,5,5,6,9,11,13,16,18,22,23,27,33,44,54,68,75,85,93,107,119,139,155,171,181,196,211,228,241,257,282,302,323,352,377,400,428,461,494,523,558,587,621,655,686,735,788,832,889,929,994,1042,1096,1148,1202,1253,1308,1371,1433,1485,1540,1598,1647,1697,1751,1818,1881,1948,2013,2083,2153,2218,2293,2350,2406,2478,2577,2653,2733,2816,2910,2999,3090,3164,3274,3358,3438,3546,3640,3757,3851,3960,4059,4139,4236,4336,4458,4583,4728,4864,5001,5127,5257,5403,5543,5695,5853,6005,6158,6328,6493,6623,6793,6952,7094,7250,7409,7560,7726,7885,8051,8231,8392,8576,8755,8953,9146,9347,9534,9730,9918,10101,10325,10534,10780,11039,11258,11478,11672,11893,12134,12401,12648,12903,13149,13389,13640,13903,14134,14386,14642,14882,15137,15372,15629,15890,16150,16400,16695,16989,17282,17562,17852,18138,18469,18805,19125,19465,19785,20110,20446,20769,21101,21421,21766,22145,22494,22856,23217,23589,23934,24308,24707,25066,25434,25859,26304,26720,27136,27531,27967,28429,28878,29315,29781,30220,30682,31145,31644,32143,32674,33244,33776,34313,34808,35386,35884,36442,37004,37569,38164,38783,39339,39903,40496,41081,41685,42320,42942,43599,44206,44820,45447,46087,46680,47312,47948,48647,49353,50009,50714,51408,52119,52893,53614,54355,55075,55806,56595,57403,58205,59013,59798,60616,61476,62322,63230,64144,65052,65943,66906,67838,68770,69759,70720,71711,72694,73723,74782,75858,76910,78039,79107,80174,81268,82386,83528,84684,85822,87018,88288,89522,90681,91878,93171,94496,95815,97112,98463,99751,101072,102454,103821,105312,106796,108244,109754,111255,112784,114278,115879,117498,119105,120738,122406,124091,125850,127551,129333,131180,133138,135011,136853,138796,140705,142667,144584,146563,148625,150698,152843,155013,157224,159464,161744,164169,166542,168957,171358,173813,176330,178923,181475,184173,186778,189428,192090,194911,197715,200620,203534,206483,209464,212478,215504,218622,221816,225049,228123,231330,234691,237977,241320,244737,248081,251583,255081,258676,262362,266057,269819,273514,277327,281195,285094,289052,293063,297202,301317,305602,309778,314081,318501,322849,327152,331608,336256,340927,345686,350478,355285,360201,365143,370214,375331,380425,385579,390861,396167,401575,406769,412255,417873,423438,429100,434857,440734,446608,452480,458621,464922,471329,477623,483960,490357,497056,503743,510626,517540,524406,531535,538663,545964,553211,560287,567701,575193,582652,590276,598134,605843,613805,622115,630274,638561,647038,655488,664160,672911,681768,690701,699768,708896,718168,727410,737035,746693,756724,766732,776902,787097,797558,808270,819031,829797,840771,851785,863028,874610,886145,897972,909974,922491,934738,947187,959721,972582,985398,998289,1011481,1024764,1038247,1051928,1065829,1079712,1093748,1108076,1122515,1137317,1152174,1166988,1182007,1197273,1212777,1228282,1244193,1259956,1276139,1292416,1308957,1325450,1342432,1359770,1377029,1394355,1412229,1430232,1448346,1466745,1485170,1503658,1522584,1541500,1560752,1579959,1599239,1618700,1638254,1658305,1678478,1698880,1719302
1,1,1,1,2,2,3,5,5,5,6,7,9,11,12,12,17,18,21,23,25,27,27,30,35,38,40,44,50,58,67,69,76,80,90,96,101,107,119,127,138,145,149,160,164,173,180,191,194,202,211,218,225,229,238,247,250,256,264,269,275,282,287,296,298,303,308,315,324,336,352,361,369,377,389,409,425,447,475,493,513,533,553,582,621,648,680,716,738,767,802,830,859,892,920,938,961,996,1022,1065,1096,1127,1159,1185,1218,1249,1280,1302,1325,1359,1388,1421,1449,1468,1505,1538,1566,1600,1636,1669,1717,1756,1794,1835,1871,1910,1955,2002,2040,2093,2140,2187,2244,2282,2325,2368,2406,2459,2505,2549,2590,2628,2664,2700,2723,2776,2813,2869,2905,2959,3010,3057,3103,3154,3202,3243,3295,3347,3401,3452,3505,3556,3613,3667,3725,3773,3825,3877,3925,3972,4018,4064,4123,4180,4234,4287,4342,4398,4441,4486,4556,4624,4696,4775,4830,4921,4979,5067,5165,5252,5344,5449,5558,5648,5736,5847,5951,6068,6174,6313,6448,6570,6704,6825,6940,7065,7177,7300,7417,7565,7701,7835,7964,8116,8244,8378,8518,8675,8852,9008,9143,9287,9448,9621,9816,9977,10138,10305,10475,10641,10826,11005,11188,11356,11546,11731,11934,12144,12362,12560,12795,12993,13204,13426,13657,13852,14107,14345,14614,14890,15140,15390,15650,15896,16157,16419,16661,16928,17222,17480,17738,17971,18216,18510,18838,19128,19449,19771,20042,20324,20611,20933,21260,21534,21859,22169,22488,22802,23108,23463,23784,24113,24464,24814,25163,25488,25854,26193,26548,26867,27189,27541,27893,28251,28618,28997,29405,29753,30120,30507,30901,31335,31735,32156,32562,32973,33402,33854,34284,34747,35240,35721,36205,36732,37244,37808,38351,38931,39480,40078,40640,41276,41942,42611,43283,43974,44688,45342,46082,46852,47701,48489,49297,50122,50964,51814,52696,53609,54508,55428,56338,57314,58275,59240,60252,61262,62334,63373,64497,65638,66745,67891,69015,70220,71391,72598,73800,75045,76327,77594,78848,80110,81442,82835,84160,85652,87025,88471,89877,91330,92792,94283,95766,97254,98850,100500,102084,103699,105368,107102,108837,110589,112368,114084,115839,117707,119578,121483,123489,125572,127620,129589,131596,133566,135661,137825,139863,142063,144368,146610,148852,151193,153556,155945,158349,160731,163166,165639,168208,170778,173349,175974,178654,181390,184068,186852,189748,192637,195565,198424,201436,204420,207511,210667,213991,217244,220668,223987,227395,230854,234317,237937,241574,245185,248952,252771,256602,260631,264448,268388,272520,276618,280720,284778,289141,293441,297768,302259,306718,311419,315878,320639,325403,330173,334943,339989,345041,350037,355200,360513,365940,371293,376650,382172,387606,393256,398964,404721,410545,416523,422601,428806,434992,441400,447772,454139,460681,467335,474019,480858,487617,494531,501386,508396,515649,523266,530660,538156,545730,553305,560948,568769,576684,584911,593116,601578,610017
1,1,1,1,3,3,4,7,8,9,10,12,13,16,18,19,19,21,26,32,35,37,45,51,54,64,74,81,92,102,112,120,127,136,149,159,167,178,185,195,201,211,220,228,233,243,255,266,276,290,309,319,331,341,353,375,393,404,424,438,457,474,498,517,535,552,568,590,612,631,652,667,682,695,711,725,741,763,779,800,821,846,866,883,901,923,946,963,976,999,1017,1045,1075,1098,1125,1151,1177,1204,1231,1251,1275,1304,1339,1369,1418,1463,1510,1558,1599,1663,1718,1777,1841,1922,1985,2042,2121,2209,2303,2387,2472,2574,2656,2764,2885,2976,3084,3200,3298,3389,3506,3610,3735,3839,3936,4041,4165,4267,4368,4502,4607,4714,4820,4937,5068,5202,5329,5454,5577,5707,5825,5951,6081,6195,6322,6458,6600,6733,6870,7000,7151,7307,7474,7629,7791,7965,8122,8288,8464,8616,8787,8938,9097,9281,9455,9623,9814,9987,10176,10354,10541,10706,10873,11034,11205,11401,11575,11779,11974,12183,12385,12618,12811,13018,13217,13402,13601,13811,14032,14273,14507,14738,14967,15196,15440,15694,15943,16183,16495,16766,17055,17311,17586,17887,18146,18452,18745,19011,19277,19552,19857,20134,20415,20701,21001,21325,21629,21949,22260,22556,22883,23205,23528,23852,24168,24466,24801,25139,25465,25843,26192,26540,26941,27308,27675,28025,28387,28773,29133,29520,29877,30252,30663,31066,31468,31881,32295,32756,33196,33663,34135,34612,35105,35599,36138,36676,37224,37785,38327,38920,39476,40041,40641,41286,41899,42525,43140,43747,44357,44965,45615,46247,46900,47618,48303,49027,49676,50378,51048,51768,52568,53318,54085,54891,55696,56501,57333,58162,58988,59845,60688,61543,62389,63251,64167,65071,66014,66906,67799,68761,69744,70765,71740,72711,73711,74721,75817,76950,78085,79293,80470,81649,82844,84059,85366,86634,87980,89252,90573,91927,93319,94777,96302,97837,99379,100975,102475,104048,105697,107289,108889,110523,112175,113881,115556,117252,118947,120691,122471,124256,126098,127923,129715,131646,133571,135501,137458,139426,141341,143406,145521,147652,149868,151979,154219,156493,158780,161075,163455,165937,168307,170864,173404,175875,178425,181099,183757,186572,189376,192331,195335,198370,201436,204543,207711,210972,214279,217618,221122,224483,227991,231582,235182,238755,242329,246009,249874,253634,257537,261353,265285,269325,273302,277366,281686,285917,290310,294815,299264,303824,308469,313124,317786,322555,327452,332327,337320,342439,347612,352792,358011,363291,368819,374368,379901,385562,391215,396887,402576,408553,414455,420449,426633,432750,439035,445358,451701,458058,464723,471297,477807,484548,491353,498357,505473,512606,519887,527109,534617,542179,549739,557266,565019,572903,580806,588833,596822,605247,613522,621845,630309,638997,647811,656798,665876,675045,684258,693504,702794,712222,721811,731474,741277,751199,761201,771323,781656,791934,802413,812890,823462,834274,844992,855562,866588,877644,888882,900031,911664,923102,934821,946532,958536,970503,982743,995047,1007439
1,1,1,1,1,4,6,7,8,8,9,10,11,13,14,14,14,16,17,19,21,25,28,36,46,53,57,64,67,69,71,79,83,89,96,103,110,117,122,127,129,141,146,149,157,165,179,186,199,210,215,228,238,246,256,267,274,292,304,317,332,347,367,389,408,417,436,450,472,490,504,520,535,545,562,578,595,610,622,639,657,678,705,731,756,773,796,816,840,868,894,923,968,999,1039,1077,1126,1183,1232,1285,1330,1376,1436,1495,1539,1597,1646,1711,1765,1829,1897,1964,2016,2091,2155,2241,2318,2383,2458,2531,2607,2694,2776,2870,2959,3058,3175,3323,3446,3556,3661,3791,3936,4075,4220,4376,4514,4672,4829,4981,5140,5320,5483,5660,5816,6004,6200,6399,6574,6780,6985,7180,7374,7564,7769,7985,8194,8404,8616,8812,9028,9256,9483,9713,9960,10175,10414,10628,10859,11094,11314,11545,11779,12014,12249,12498,12721,12989,13236,13515,13798,14072,14333,14578,14849,15081,15360,15668,15950,16216,16496,16774,17057,17346,17635,17927,18246,18586,18856,19168,19505,19865,20166,20497,20848,21202,21569,21961,22322,22696,23017,23371,23763,24150,24578,24982,25398,25795,26197,26609,27024,27461,27881,28294,28758,29209,29662,30085,30548,30964,31418,31865,32402,32906,33408,33860,34349,34824,35330,35821,36347,36905,37474,37997,38551,39079,39614,40202,40790,41389,42045,42720,43374,43989,44673,45356,45981,46645,47359,48086,48762,49452,50182,50906,51595,52273,52974,53779,54585,55402,56182,56970,57731,58503,59294,60110,60918,61732,62559,63448,64351,65274,66186,67116,68047,68949,69902,70890,71846,72880,73866,74875,75957,77003,78014,79073,80206,81307,82446,83512,84670,85882,87106,88356,89640,91007,92235,93504,94802,96071,97373,98709,100097,101442,102775,104139,105563,106951,108378,109869,111319,112824,114321,115777,117342,118915,120503,122123,123808,125526,127222,128927,130604,132384,134195,136010,137873,139737,141569,143456,145419,147450,149559,151574,153652,155755,157979,160111,162358,164585,166928,169319,171721,174107,176528,178975,181391,183940,186565,189167,191903,194657,197432,200274,203214,206258,209250,212378,215418,218397,221599,224789,228007,231401,234782,238140,241619,245066,248545,252152,255829,259617,263445,267267,271148,275093,279113,283204,287387,291573,295903,300335,304752,309290,313995,318647,323357,328179,332993,337967,342926,347952,353025,358214,363399,368707,373949,379391,384784,390302,395770,401418,406930,412668,418426,424373,430322,436180,442170,448352,454664,461066,467483,473989,480657,487171,493977,500852,507751,514858,522111,529423,536822,544349,551839,559488,567123,574999,582950,590847,598980,607223,615654,624076,632547,641241,650068,659010,668080,677247,686430,695632,704966,714592,724278,734205,744167,754372,764642,775116,785636,796007,807007,817962,828972,840075,851628,863071,874589,886284,897903,909681,921730,933830,946055,958607,971293,983959,996918,1010007,1023042,1036381,1049739,1063218,1076973,1090819,1104938,1119226,1133554,1148027,1162406,1177305,1192262,1207449,1222862,1238374,1254058
1,1,2,4,4,4,5,7,9,9,12,13,14,14,17,18,22,26,33,37,45,47,49,50,55,56,64,69,78,82,90,98,105,112,118,125,132,140,148,158,171,183,190,197,212,234,254,270,285,298,311,324,344,359,381,401,425,457,486,509,535,554,581,612,643,666,692,739,775,810,846,881,920,961,1007,1039,1081,1123,1160,1207,1247,1287,1330,1375,1412,1461,1513,1553,1596,1639,1671,1707,1741,1785,1825,1867,1902,1936,1962,2000,2030,2062,2097,2127,2157,2190,2227,2258,2283,2307,2331,2361,2390,2421,2447,2477,2510,2545,2576,2608,2650,2705,2744,2786,2834,2875,2929,2965,3012,3063,3113,3152,3206,3259,3309,3365,3428,3481,3533,3592,3648,3702,3757,3805,3840,3904,3957,4021,4077,4139,4197,4251,4296,4366,4433,4493,4548,4604,4668,4745,4814,4890,4952,5023,5092,5159,5233,5325,5408,5481,5543,5617,5680,5757,5834,5929,6012,6070,6140,6204,6273,6325,6392,6451,6523,6588,6644,6702,6758,6814,6873,6925,6979,7028,7088,7138,7188,7235,7270,7318,7362,7416,7449,7485,7528,7569,7622,7664,7700,7736,7779,7816,7861,7905,7955,8000,8040,8095,8145,8208,8264,8336,8387,8448,8526,8606,8711,8807,8870,8970,9070,9164,9290,9391,9495,9593,9712,9851,9962,10085,10201,10328,10452,10591,10702,10831,10966,11129,11270,11400,11503,11620,11750,11877,12023,12153,12305,12435,12578,12722,12853,13026,13194,13352,13517,13689,13857,14041,14228,14412,14590,14797,14977,15180,15381,15605,15825,16028,16277,16508,16737,17000,17246,17474,17679,17933,18185,18429,18614,18843,19108,19358,19639,19908,20199,20505,20799,21094,21382,21713,22012,22327,22662,22982,23294,23615,23964,24318,24701,25069,25476,25855,26246,26670,27062,27454,27886,28289,28712,29187,29680,30152,30621,31143,31628,32119,32621,33168,33723,34308,34853,35403,35943,36558,37169,37745,38348,38969,39594,40184,40803,41417,42032,42696,43336,43950,44604,45270,45895,46552,47271,47940,48640,49296,49992,50711,51462,52212,53024,53732,54553,55331,56116,56935,57781,58655,59499,60383,61279,62160,63131,64151,65168,66154,67170,68262,69314,70401,71455,72598,73714,74810,75901,77074,78244,79340,80485,81715,82889,84112,85343,86593,87832,89120,90413,91733,93051,94402,95760,97204,98603,100006,101434,102907,104364,105927,107510,109219,110849,112589,114330,116041,117758,119581,121426,123240,125167,126998,128943,130878,132901,134839,136841,138870,140896,142935,145118,147171,149282,151461,153598,155730,157989,160356,162654,164881,167225,169691,172194,174766,177248,179703,182216,184709,187284,189845,192553,195251,198077,200919,203631,206515,209456,212425,215459,218562,221697,224809,228075,231306,234593,237922,241286,244665,248208,251708,255239,258937,262635,266386,270211,274049,277953,281715,285631,289744,293793,297838,301858,306045,310272,314560,318867,323319,327866,332378,337059,341629,346386,351196,356052,361061,366081,371194,376419,381571,386825
1,1,1,1,1,3,3,4,4,4,7,8,10,12,13,15,15,16,16,18,18,21,23,27,32,41,47,51,54,55,59,67,78,82,86,97,102,106,118,128,135,145,152,160,165,174,181,189,202,205,211,219,233,245,252,274,287,301,312,329,344,361,377,395,421,449,469,506,537,569,612,644,679,707,745,786,818,859,901,941,968,1004,1050,1090,1142,1183,1226,1263,1307,1356,1390,1440,1495,1533,1564,1610,1658,1707,1741,1777,1815,1857,1890,1932,1966,2002,2032,2066,2112,2156,2193,2241,2281,2314,2348,2384,2416,2459,2508,2553,2597,2641,2686,2728,2781,2838,2893,2951,3017,3085,3163,3232,3304,3379,3464,3541,3631,3699,3793,3874,3952,4031,4124,4231,4321,4415,4493,4576,4661,4755,4840,4932,5048,5159,5244,5328,5438,5531,5612,5699,5782,5860,5963,6046,6151,6249,6342,6428,6521,6615,6711,6824,6942,7056,7167,7256,7380,7500,7609,7722,7853,7951,8093,8239,8373,8516,8639,8773,8906,9039,9179,9296,9433,9594,9742,9886,10040,10198,10331,10451,10581,10726,10864,10995,11118,11260,11424,11575,11716,11845,12006,12178,12360,12544,12739,12941,13145,13351,13509,13717,13910,14102,14311,14537,14734,14969,15212,15439,15682,15914,16151,16377,16634,16844,17060,17289,17530,17747,17981,18226,18467,18702,18955,19214,19438,19644,19874,20135,20400,20631,20907,21187,21423,21675,21952,22225,22489,22755,23041,23304,23561,23848,24171,24454,24747,25036,25306,25614,25936,26248,26558,26884,27249,27590,27928,28277,28595,28960,29329,29704,30073,30449,30897,31308,31761,32166,32558,32948,33348,33771,34197,34649,35087,35549,36028,36486,36951,37430,37935,38426,38907,39363,39861,40377,40888,41410,41911,42432,42979,43488,44052,44596,45141,45665,46231,46808,47365,47981,48544,49134,49714,50279,50865,51458,52045,52675,53298,53945,54553,55210,55872,56560,57306,58060,58783,59565,60281,61040,61840,62656,63432,64281,65080,65839,66681,67624,68503,69352,70231,71081,71945,72876,73821,74802,75692,76592,77528,78467,79444,80405,81401,82428,83452,84478,85532,86576,87619,88706,89750,90871,92001,93132,94213,95331,96422,97573,98810,100098,101343,102648,103917,105150,106455,107754,109146,110466,111815,113179,114563,115939,117383,118800,120269,121698,123145,124668,126136,127758,129256,130761,132262,133760,135362,136917,138569,140165,141862,143550,145296,146996,148698,150428,152251,154172,156078,157964,159993,161931,163935,165970,168045,170206,172347,174484,176643,178854,181067,183356,185644,188097,190423,192722,195094,197401,199834,202369,204902,207375,209931,212514,215088,217621,220266,222973,225616,228379,231124,233854,236636,239559,242509,245478,248396,251267,254248,257181,260300,263344,266532,269738,272966,276141,279392,282700,286054,289415,292858,296304,299765,303386,306910,310512,314166,317791,321546,325289,328999,332925,336825,340793,344775,348836,352917,357015,361077,365298,369520,373854,378264,382704,387103,391634,396188,400731,405408,410210,414897
1,1,1,3,3,4,4,4,5,5,6,6,7,8,10,11,16,17,21,22,26,34,37,40,51,57,64,69,75,80,92,105,112,126,136,148,151,159,168,181,190,200,212,216,225,230,237,247,255,269,275,284,287,293,298,308,312,322,335,344,353,366,375,397,412,424,441,456,471,484,498,517,534,555,565,583,610,631,656,678,697,727,752,772,797,829,861,884,915,954,978,1006,1032,1057,1088,1115,1143,1168,1209,1242,1275,1310,1347,1376,1417,1456,1476,1508,1538,1568,1603,1648,1684,1713,1758,1800,1851,1892,1943,1987,2041,2083,2123,2178,2226,2275,2323,2377,2428,2485,2541,2597,2648,2702,2752,2806,2867,2918,2972,3040,3111,3196,3266,3323,3382,3443,3522,3591,3659,3732,3815,3894,3959,4028,4087,4170,4236,4304,4383,4453,4525,4597,4688,4759,4844,4926,5031,5128,5245,5339,5449,5530,5626,5741,5852,5967,6069,6171,6284,6400,6522,6652,6779,6898,7016,7124,7238,7355,7492,7631,7764,7910,8039,8192,8343,8486,8653,8799,8943,9089,9255,9448,9614,9798,9966,10116,10274,10456,10661,10854,11050,11243,11442,11669,11889,12113,12301,12519,12746,12968,13170,13388,13611,13850,14110,14385,14599,14871,15126,15362,15611,15885,16137,16433,16717,17012,17323,17627,17945,18252,18552,18855,19137,19448,19786,20155,20528,20859,21210,21607,21980,22334,22667,23050,23449,23834,24245,24686,25082,25530,25922,26333,26794,27233,27608,28028,28480,28930,29372,29803,30237,30671,31124,31576,32073,32537,33063,33563,34045,34550,35041,35582,36117,36651,37216,37788,38402,39031,39684,40254,40839,41457,42111,42751,43443,44098,44762,45462,46149,46815,47481,48189,48935,49633,50382,51140,51912,52697,53548,54383,55206,56006,56865,57711,58605,59472,60360,61257,62188,63121,64096,64992,65915,66889,67838,68812,69786,70743,71741,72724,73712,74754,75788,76830,77871,78938,79979,81042,82120,83256,84292,85395,86576,87706,88853,89987,91188,92421,93617,94921,96153,97371,98673,99962,101322,102594,103948,105366,106747,108126,109643,111102,112673,114149,115714,117275,118931,120515,122145,123815,125487,127306,129160,131022,132833,134701,136567,138497,140475,142439,144520,146709,148981,151132,153325,155569,157729,160108,162510,164904,167295,169672,172110,174689,177297,179855,182617,185283,187995,190699,193438,196271,199065,201873,204827,207811,210826,213895,216967,220059,223281,226447,229664,232910,236322,239776,243238,246659,250183,253811,257396,260953,264715,268376,272036,275804,279533,283406,287361,291200,295257,299389,303477,307663,311867,316088,320390,324728,329299,333755,338253,342811,347413,352100,356895,361781,366721,371880,376983,382183,387518,392852,398249,403716,409347,415024,420673,426559,432309,438159,444341,450465,456680,463129,469581,476034,482603,489371,495999,502617,509456,516363,523528,530404,537576,544781,552050,559681,567199,574762,582541,590356,598332,606521,614730,622915,631271,639726,648170,656751,665455,674555,683614,692727,701931,711274,720576
1,1,1,1,2,2,5,6,7,11,18,22,28,32,35,42,44,49,50,59,71,82,87,98,105,114,121,130,141,149,158,163,175,193,203,215,220,229,237,247,256,266,274,279,286,294,305,324,338,348,361,371,381,400,416,432,453,465,495,515,539,561,582,600,621,644,668,689,712,730,753,782,816,852,877,918,950,982,1013,1046,1090,1133,1180,1228,1262,1313,1357,1403,1451,1517,1571,1626,1683,1747,1801,1857,1917,1985,2041,2106,2170,2230,2296,2365,2408,2476,2549,2634,2714,2803,2892,2967,3045,3163,3273,3353,3453,3533,3642,3726,3848,3961,4070,4196,4324,4458,4609,4739,4857,4964,5067,5208,5329,5467,5621,5788,5947,6095,6248,6439,6593,6783,6961,7116,7298,7490,7667,7870,8072,8264,8447,8652,8853,9046,9253,9459,9666,9887,10103,10308,10566,10776,10996,11250,11490,11728,11950,12206,12441,12690,12958,13217,13477,13726,13998,14252,14532,14807,15103,15398,15674,15991,16303,16649,16980,17316,17662,17974,18307,18633,18961,19291,19636,20002,20335,20692,21041,21376,21770,22131,22490,22844,23226,23586,24007,24430,24811,25225,25610,26033,26502,26953,27426,27847,28310,28821,29305,29822,30356,30870,31427,31989,32553,33130,33713,34319,34892,35525,36145,36762,37411,38076,38725,39414,40084,40798,41432,42125,42818,43533,44215,44971,45734,46480,47259,48012,48811,49616,50425,51303,52111,52998,53851,54736,55666,56619,57612,58607,59608,60642,61684,62756,63815,64926,66014,67097,68247,69357,70569,71768,72973,74288,75562,76857,78105,79424,80791,82192,83566,84943,86300,87715,89105,90501,91971,93444,95022,96589,98201,99778,101366,102994,104723,106457,108115,109811,111576,113374,115146,116903,118770,120590,122409,124323,126269,128268,130168,132210,134144,136247,138334,140459,142586,144681,146784,149044,151341,153636,155938,158303,160753,163188,165682,168195,170783,173377,175985,178602,181261,184040,186769,189589,192335,195133,198034,200888,203827,206756,209759,212812,215815,218999,222157,225298,228564,231870,235140,238566,241952,245368,248686,252139,255647,259288,262790,266359,270126,273915,277703,281698,285577,289457,293514,297564,301710,305752,310049,314438,318746,323171,327673,332304,336879,341429,346104,350874,355675,360483,365357,370448,375436,380577,385915,391166,396527,401800,407252,412857,418348,423970,429468,435198,441016,446837,452726,458793,464979,471215,477365,483630,490095,496500,503107,509896,516617,523389,530344,537236,544237,551368,558639,566079,573522,581220,588968,596493,604170,612319,620448,628474,636844,645241,653599,662154,670726,679447,688295,697269,706372,715451,724780,734061,743546,753187,762848,772489,782276,792257,802188,812404,822708,832986,843614,854351,865153,876038,886794,897875,909164,920302,931873,943589,955448,967612,979818,992189,1004698,1017197,1030133,1043096,1055990,1069091,1082578,1096435,1110258,1124050,1138421,1152895,1167183,1181785,1196753,1211605,1226770,1242238,1257781,1273230,1288996,1304865,1321340,1337334,1353728,1370040,1386807,1403323,1420241,1437366,1454518,1472056,1489811,1507601,1525431,1543312,1561490,1579798,1598469,1617009,1635964
1,1,2,4,4,6,8,12,12,14,15,20,21,25,31,35,38,46,51,57,68,74,88,101,105,121,129,144,155,167,178,186,196,208,222,235,243,257,274,286,291,309,324,334,348,353,367,381,400,410,422,445,456,476,494,509,525,551,565,587,609,623,647,670,701,733,760,782,812,842,870,898,925,945,962,996,1031,1057,1087,1119,1154,1197,1241,1276,1307,1340,1382,1430,1465,1497,1542,1583,1628,1667,1721,1774,1837,1885,1928,1965,2023,2080,2132,2186,2241,2302,2365,2427,2483,2551,2610,2697,2762,2836,2905,2997,3087,3166,3267,3349,3439,3553,3649,3762,3877,3975,4100,4234,4356,4498,4613,4753,4889,5032,5213,5385,5547,5694,5849,6010,6163,6336,6515,6674,6858,7048,7219,7404,7586,7810,8009,8221,8428,8674,8889,9108,9332,9593,9841,10060,10308,10560,10802,11051,11320,11621,11893,12168,12428,12707,12968,13219,13484,13770,14071,14347,14617,14931,15191,15501,15790,16089,16348,16616,16907,17184,17473,17749,18006,18312,18605,18919,19239,19550,19856,20177,20508,20844,21182,21513,21836,22165,22502,22807,23161,23513,23894,24259,24615,25013,25395,25767,26149,26533,26918,27351,27762,28180,28597,29025,29427,29862,30345,30755,31228,31676,32145,32650,33118,33609,34155,34728,35245,35733,36302,36821,37384,37965,38536,39135,39732,40390,41028,41643,42312,42977,43619,44337,45026,45703,46443,47170,47881,48665,49444,50283,51073,51892,52717,53590,54418,55265,56157,57038,57943,58790,59696,60567,61493,62476,63488,64480,65438,66430,67415,68439,69452,70514,71618,72646,73664,74729,75867,76978,78161,79273,80382,81508,82745,83925,85178,86416,87648,88876,90171,91444,92669,93979,95266,96611,97937,99234,100496,101825,103167,104595,106153,107555,108980,110466,111912,113407,114952,116563,118182,119771,121392,122930,124587,126198,127924,129674,131426,133275,135102,136982,138915,140764,142741,144677,146620,148658,150701,152845,154999,157138,159391,161656,164026,166303,168661,171045,173409,175923,178434,181077,183703,186335,189063,191818,194700,197525,200503,203360,206342,209291,212313,215341,218489,221703,224940,228115,231302,234564,237954,241429,245000,248506,252072,255752,259318,263068,266812,270635,274555,278451,282449,286345,290448,294578,298787,303055,307187,311605,316002,320469,325035,329549,334143,338764,343497,348385,353363,358329,363499,368570,373641,378952,384344,389760,395284,400832,406491,412328,418243,424205,430143,436205,442355,448609,455052,461370,467956,474618,481355,488048,494936,501892,508791,515870,523094,530343,537985,545484,553112,561125,569045,577088,585340,593831,602283,610824,619499,628244,637123,646157,655011,664367,673778,683404,693143,702823,712854,722920,733024,743409,753975,764420,775136,785856,796811,808066,819369,830766,842219,853859,865701,877678,889763,901875,914395,926903,939505,952154,965178,978445,991655,1004876,1018261,1031625,1045466,1059193,1073223,1087356,1101680,1116144,1130654,1145370,1160375,1175412,1190728,1206240,1221849,1237524,1253554,1269472,1285835,1302392,1319092,1335714,1352709,1370052,1387592,1405046,1422640,1440283,1458247
1,1,1,1,1,4,7,9,10,10,11,13,14,14,16,18,20,23,25,27,31,32,37,40,50,61,68,73,76,80,94,103,113,127,137,142,156,161,171,179,185,191,198,209,216,224,236,245,257,270,281,287,296,298,301,306,314,318,325,332,342,344,349,352,357,362,368,373,379,384,389,395,400,408,415,421,427,436,441,448,455,460,471,477,486,495,511,523,535,545,550,562,574,585,592,599,605,616,627,633,644,660,668,682,692,702,712,723,728,742,757,768,780,798,810,829,841,858,869,880,896,912,924,940,948,964,977,993,1005,1025,1036,1050,1065,1082,1094,1102,1112,1121,1135,1149,1163,1173,1189,1202,1220,1234,1254,1266,1279,1291,1304,1323,1342,1356,1369,1388,1406,1427,1450,1465,1483,1501,1526,1545,1563,1579,1602,1623,1658,1681,1707,1740,1770,1800,1831,1866,1898,1929,1961,2007,2046,2077,2118,2148,2189,2220,2269,2298,2344,2389,2445,2499,2541,2578,2619,2661,2711,2752,2792,2840,2893,2942,2990,3030,3087,3132,3183,3218,3263,3307,3362,3413,3475,3517,3568,3608,3661,3724,3780,3836,3897,3953,4004,4062,4129,4185,4265,4323,4393,4464,4534,4597,4666,4747,4823,4901,4982,5066,5157,5233,5300,5396,5502,5588,5687,5794,5898,5988,6113,6224,6348,6467,6597,6716,6822,6962,7076,7213,7314,7441,7582,7698,7837,7984,8110,8250,8396,8519,8638,8760,8915,9049,9165,9301,9420,9560,9700,9826,9949,10063,10211,10347,10486,10629,10785,10913,11046,11196,11348,11505,11670,11817,11980,12111,12280,12427,12571,12740,12875,13057,13259,13435,13599,13758,13912,14102,14287,14455,14628,14825,15018,15219,15422,15615,15836,16047,16216,16415,16647,16848,17068,17318,17549,17752,17987,18189,18419,18643,18876,19097,19334,19543,19777,20031,20273,20528,20783,21011,21249,21490,21702,21933,22195,22483,22775,23067,23306,23607,23908,24204,24479,24765,25072,25406,25745,26081,26443,26799,27148,27525,27914,28299,28674,29074,29515,29950,30372,30785,31216,31672,32195,32732,33234,33721,34229,34769,35315,35860,36417,36983,37568,38136,38753,39389,39991,40620,41272,41999,42626,43305,43986,44622,45334,46015,46702,47437,48172,48876,49623,50404,51203,52021,52834,53611,54493,55326,56215,57101,57954,58789,59692,60593,61495,62380,63332,64292,65288,66215,67151,68243,69301,70391,71465,72582,73676,74786,75893,77072,78235,79418,80586,81768,82935,84215,85454,86702,87974,89245,90572,91879,93232,94651,96039,97448,98900,100312,101848,103347,104958,106543,108123,109789,111504,113173,114896,116586,118379,120103,121817,123541,125270,127067,128918,130783,132624,134558,136484,138488,140407,142392,144411,146515,148539,150680,152752,154789,156963,159099,161238,163476,165662,167907,170266,172565,174953,177335,179662,181969,184474,186902,189278,191830,194407,196914,199471,202098,204827
1,1,1,1,1,1,1,3,3,3,5,7,7,9,12,12,13,14,15,15,17,17,18,19,19,25,26,28,32,35,43,48,50,51,53,56,63,68,75,84,89,100,119,127,138,151,159,168,175,182,187,192,208,221,230,245,254,268,273,292,310,326,333,340,348,364,373,386,401,410,431,445,463,481,490,505,529,546,558,576,593,617,633,654,673,690,724,752,778,802,824,846,876,900,929,962,983,1007,1031,1058,1081,1106,1145,1176,1195,1218,1236,1261,1286,1310,1339,1375,1397,1420,1442,1466,1495,1521,1550,1575,1603,1633,1660,1699,1731,1762,1798,1819,1859,1908,1956,2008,2049,2090,2141,2212,2259,2325,2394,2463,2514,2565,2638,2704,2776,2850,2919,2983,3044,3095,3163,3231,3316,3392,3456,3519,3589,3662,3727,3801,3855,3924,4020,4097,4167,4235,4306,4394,4474,4551,4625,4707,4799,4891,4981,5081,5176,5243,5324,5420,5486,5571,5659,5746,5836,5892,5979,6051,6123,6189,6276,6360,6437,6527,6605,6670,6754,6820,6908,6984,7080,7166,7246,7340,7432,7536,7602,7701,7786,7878,7980,8063,8149,8241,8327,8436,8524,8632,8757,8866,8965,9071,9182,9310,9414,9534,9642,9779,9906,10060,10221,10381,10523,10677,10816,10972,11145,11301,11464,11635,11805,11998,12187,12370,12563,12745,12951,13147,13331,13527,13746,13978,14193,14415,14627,14853,15070,15334,15581,15822,16067,16321,16558,16807,17028,17321,17614,17895,18169,18458,18750,19054,19378,19685,20005,20333,20666,21013,21317,21630,21933,22233,22517,22859,23185,23495,23807,24152,24489,24804,25125,25486,25832,26157,26509,26852,27181,27565,27922,28293,28690,29078,29469,29837,30157,30557,31000,31414,31831,32292,32732,33189,33617,34123,34619,35128,35585,36118,36601,37144,37681,38194,38721,39258,39804,40348,40850,41401,41970,42539,43156,43725,44275,44876,45437,46051,46632,47242,47848,48427,49052,49731,50374,50984,51598,52265,52897,53530,54155,54784,55463,56168,56860,57549,58270,58969,59748,60473,61211,61960,62793,63574,64396,65182,66017,66923,67816,68737,69705,70623,71549,72518,73507,74464,75457,76475,77526,78584,79662,80770,81911,83036,84163,85314,86467,87615,88761,89952,91082,92252,93479,94638,95853,97136,98434,99818,101085,102397,103747,105182,106663,108102,109535,111025,112601,114186,115810,117490,119121,120819,122565,124303,126126,127967,129821,131670,133607,135561,137617,139604,141668,143777,145883,147978,150217,152410,154534,156846,159155,161492,163854,166126,168502,170841,173361,175826,178460,180969,183525,186141,188836,191457,194173,196852,199570,202376,205137,207915,210709,213736,216608,219540,222518,225614,228704,231894,234991,238260,241404,244663,248015,251272,254668,258072,261471,265034,268618,272268,275907,279726,283526,287305,291256,295141,299151,303284,307303,311393,315689,319935,324263,328423,332780,337205,341660,346326,350874,355376,360157,364903,369756,374633,379466,384563,389524,394639,399785
1,1,2,5,7,9,10,11,12,15,18,19,22,29,35,44,49,54,62,67,71,82,92,104,113,123,131,136,144,152,168,174,178,191,197,206,216,227,235,242,252,262,269,276,284,287,293,309,315,322,333,340,349,358,376,389,409,419,434,446,466,482,495,520,534,549,565,581,605,626,648,670,695,720,740,765,787,808,834,859,884,924,965,997,1026,1050,1084,1118,1142,1177,1211,1248,1286,1315,1350,1388,1418,1450,1488,1540,1579,1622,1670,1722,1771,1825,1874,1928,1962,2008,2068,2122,2187,2251,2301,2370,2436,2496,2564,2630,2704,2773,2836,2904,2969,3038,3102,3162,3225,3296,3359,3424,3476,3530,3594,3651,3728,3803,3865,3935,4010,4089,4168,4230,4300,4360,4436,4500,4571,4660,4746,4829,4926,5002,5104,5190,5291,5386,5464,5550,5645,5731,5810,5904,5999,6100,6207,6312,6380,6456,6550,6637,6741,6825,6918,7032,7120,7209,7313,7407,7511,7615,7696,7788,7906,8024,8118,8226,8317,8413,8491,8577,8676,8774,8859,8955,9053,9140,9240,9350,9461,9570,9686,9794,9889,9981,10074,10178,10287,10406,10514,10634,10763,10890,11007,11114,11237,11345,11466,11568,11689,11811,11942,12084,12204,12322,12438,12558,12688,12829,12961,13100,13264,13402,13533,13655,13805,13980,14137,14281,14435,14597,14768,14933,15105,15250,15432,15616,15769,15966,16156,16363,16548,16741,16942,17129,17341,17534,17736,17932,18152,18375,18581,18799,19036,19248,19464,19704,19931,20140,20399,20667,20901,21148,21413,21679,21937,22209,22491,22764,23063,23335,23663,23980,24337,24691,25020,25367,25697,26055,26424,26784,27191,27563,27940,28338,28708,29159,29581,30003,30445,30896,31326,31785,32258,32737,33181,33644,34195,34718,35230,35735,36256,36800,37351,37879,38430,38981,39545,40131,40694,41302,41866,42464,43049,43675,44330,44990,45619,46280,46970,47667,48359,49116,49811,50577,51320,52143,52993,53829,54614,55457,56338,57177,58069,59022,59925,60849,61783,62720,63691,64678,65678,66735,67770,68864,69960,71051,72086,73218,74393,75584,76816,77996,79244,80495,81772,83074,84372,85766,87137,88417,89773,91213,92607,94032,95524,97041,98551,100114,101671,103222,104830,106420,108031,109745,111489,113170,114942,116687,118413,120281,122204,124144,125979,127934,129869,131825,133767,135841,137901,139922,142074,144276,146525,148688,150972,153329,155690,158003,160455,162796,165177,167600,170022,172492,175143,177737,180303,182967,185654,188356,191007,193636,196453,199316,202079,204969,207953,210883,213930,216951,220131,223334,226534,229787,233119,236517,239879,243429,246956,250508,254085,257759,261563,265373,269303,273168,277190,281227,285387,289567,293668,297895,302027,306393,310832,315380,319918,324502,329067,333810,338534,343282,348101,353036,357949,362984,367974,373124,378370,383601,388974,394376,400024,405701,411481,417216,423026,429102,435051,441159,447315,453600,459827,466198,472775,479524,486232,492995,499842,506800,513943,521005,528209,535645,543332
1,1,1,1,3,3,5,6,10,12,17,17,19,22,24,26,34,41,46,48,55,59,67,73,80,95,100,111,115,127,136,149,158,163,170,179,188,195,201,208,212,219,228,233,238,247,252,259,264,267,270,274,277,284,287,288,290,291,295,298,301,301,301,303,304,306,307,309,310,310,311,311,312,313,315,317,319,322,324,325,327,328,330,330,330,330,331,331,333,335,336,338,339,339,341,342,344,345,348,349,352,358,361,362,365,365,366,376,381,385,395,406,408,413,421,428,434,447,460,473,484,498,512,523,533,541,551,566,577,595,608,621,640,651,662,675,686,696,707,726,741,753,769,782,792,808,836,844,859,869,885,897,912,934,962,976,989,1009,1025,1057,1081,1111,1137,1171,1204,1233,1264,1292,1333,1361,1395,1434,1475,1524,1567,1604,1635,1676,1709,1755,1783,1813,1840,1885,1931,1969,2010,2049,2094,2133,2165,2195,2221,2243,2282,2310,2353,2385,2417,2455,2495,2536,2576,2607,2655,2697,2746,2793,2837,2868,2929,2995,3050,3096,3152,3214,3280,3337,3417,3500,3582,3662,3732,3818,3905,3993,4081,4159,4245,4319,4415,4496,4592,4679,4776,4864,4956,5049,5118,5192,5268,5361,5452,5537,5621,5721,5814,5902,5994,6092,6197,6289,6394,6499,6613,6717,6818,6932,7032,7150,7286,7395,7517,7655,7778,7886,8033,8162,8290,8433,8567,8715,8870,9025,9182,9346,9516,9708,9883,10065,10245,10420,10613,10806,10986,11162,11358,11568,11813,12023,12234,12468,12698,12907,13163,13375,13619,13887,14161,14421,14691,14921,15182,15458,15744,16014,16304,16634,16944,17250,17588,17936,18307,18636,18972,19315,19662,20048,20431,20847,21194,21555,21973,22415,22819,23248,23713,24160,24636,25095,25567,26013,26448,26920,27387,27873,28399,28891,29418,29942,30470,30968,31465,31989,32522,33062,33582,34097,34648,35195,35725,36307,36882,37472,38124,38708,39304,39922,40562,41179,41848,42531,43191,43859,44572,45259,46005,46691,47377,48058,48794,49522,50276,51060,51826,52667,53473,54273,55084,55926,56800,57635,58501,59336,60225,61147,62077,63003,63938,64807,65699,66603,67577,68543,69516,70506,71469,72457,73519,74524,75551,76628,77670,78786,79856,80980,82155,83304,84510,85704,86943,88176,89435,90738,92079,93428,94814,96218,97565,98957,100485,101890,103409,104951,106466,107990,109619,111260,112807,114415,115981,117668,119403,121082,122814,124479,126181,127955,129720,131506,133375,135218,137120,139017,140913,142873,144915,146968,149033,151130,153174,155303,157470,159692,161889,164089,166407,168633,171004,173420,175817,178217,180672,183114,185717,188320,190930,193578,196237,199021,201808,204596,207425,210325,213184,216251,219238,222276,225347,228421,231537,234841,238114,241340,244824,248264,251730,255189,258773,262396,265974,269618,273372,276961,280871,284642,288579
1,1,1,1,1,2,2,5,6,9,11,11,13,14,19,21,21,22,24,28,29,32,33,38,44,44,50,59,61,66,70,84,93,103,113,123,135,146,154,165,172,182,195,202,206,214,221,235,244,253,260,268,272,279,287,301,311,324,332,355,366,385,405,424,443,461,476,492,513,529,545,566,584,606,634,656,671,690,705,730,750,768,793,809,833,858,873,892,910,932,959,988,1014,1040,1067,1090,1112,1142,1167,1190,1215,1248,1281,1313,1349,1384,1428,1457,1484,1526,1557,1600,1639,1667,1697,1736,1765,1798,1831,1874,1920,1960,2002,2044,2088,2142,2184,2231,2280,2335,2381,2428,2472,2514,2564,2623,2685,2733,2797,2845,2910,2961,3010,3054,3116,3184,3242,3311,3375,3441,3498,3563,3618,3698,3794,3864,3953,4026,4098,4169,4243,4318,4408,4493,4565,4655,4740,4825,4915,4999,5092,5176,5272,5355,5439,5538,5614,5709,5799,5903,6000,6103,6207,6329,6427,6515,6621,6715,6818,6919,6999,7116,7214,7296,7401,7502,7627,7733,7843,7961,8061,8180,8294,8422,8534,8653,8782,8907,9020,9144,9290,9423,9564,9706,9822,9940,10076,10192,10346,10487,10602,10745,10881,10999,11154,11313,11462,11607,11759,11916,12087,12231,12396,12564,12728,12914,13067,13225,13376,13556,13720,13901,14047,14244,14425,14616,14816,15016,15208,15417,15606,15776,15985,16220,16416,16622,16834,17040,17236,17465,17700,17907,18104,18336,18543,18773,19011,19293,19529,19812,20078,20315,20579,20887,21149,21406,21695,21995,22289,22581,22890,23170,23498,23769,24077,24406,24725,25059,25374,25682,26020,26335,26669,27021,27387,27734,28095,28453,28798,29152,29531,29894,30289,30697,31108,31514,31945,32381,32804,33244,33726,34169,34645,35124,35614,36143,36626,37115,37584,38082,38557,39063,39592,40106,40646,41162,41718,42254,42786,43334,43916,44481,45047,45612,46185,46802,47397,47941,48542,49075,49653,50232,50863,51443,52084,52695,53309,53962,54627,55290,55982,56630,57318,58007,58700,59422,60161,60897,61604,62350,63096,63866,64664,65480,66267,67081,67897,68773,69618,70416,71272,72156,73070,73962,74793,75665,76577,77441,78406,79312,80284,81251,82255,83281,84271,85281,86289,87292,88290,89270,90293,91301,92372,93410,94473,95564,96742,97873,99077,100329,101537,102711,104013,105222,106509,107885,109266,110640,111996,113425,114912,116364,117808,119351,120849,122363,123862,125462,127063,128611,130215,131813,133434,135079,136708,138288,139975,141649,143301,144956,146685,148349,150028,151723,153389,155116,156804,158485,160242,162023,163798,165557,167399,169287,171206,173098,175007,176877,178863,180864,182976,185093,187181,189330,191447,193676,195946,198264,200613,202924,205199,207620,210008,212438,214868,217322,219827,222366,224966,227629,230211,232903,235518,238165,240878,243766,246557,249412,252314,255240,258175,261073,264028,267045,270109,273248,276522,279714,282862,286163,289491,292809,296213,299677,303122,306622,310239
1,1,2,2,6,8,10,11,14,17,19,21,24,27,31,37,39,42,48,61,68,76,84,96,104,120,130,142,158,165,174,179,194,208,235,253,271,286,305,326,349,370,378,395,411,428,443,461,480,492,508,525,539,557,585,609,632,657,675,699,721,735,764,780,799,813,831,862,883,913,937,956,973,997,1024,1050,1064,1083,1098,1110,1125,1160,1177,1199,1222,1245,1276,1304,1318,1339,1358,1384,1396,1417,1441,1470,1489,1513,1534,1562,1591,1623,1647,1674,1702,1732,1762,1780,1812,1835,1866,1891,1926,1953,1985,2011,2035,2057,2090,2116,2163,2203,2242,2289,2324,2374,2412,2456,2486,2521,2562,2605,2656,2703,2746,2797,2832,2872,2913,2952,2992,3038,3086,3139,3199,3250,3309,3368,3412,3478,3523,3557,3625,3687,3749,3800,3860,3915,3987,4039,4105,4178,4257,4319,4385,4461,4521,4612,4691,4778,4866,4954,5053,5167,5267,5365,5473,5598,5691,5819,5938,6051,6185,6310,6423,6550,6683,6814,6960,7094,7237,7372,7531,7675,7815,7969,8119,8236,8381,8509,8625,8754,8897,9043,9191,9351,9472,9605,9727,9875,10001,10128,10257,10410,10538,10697,10858,11013,11163,11290,11470,11633,11800,11960,12112,12268,12414,12587,12772,12940,13147,13326,13510,13727,13959,14158,14387,14577,14771,14986,15219,15468,15648,15882,16129,16369,16553,16807,17031,17284,17512,17758,18016,18277,18498,18720,18959,19230,19462,19717,19982,20223,20471,20728,20975,21217,21495,21772,22052,22327,22589,22863,23128,23414,23708,24003,24310,24617,24900,25237,25538,25842,26152,26478,26776,27105,27460,27791,28139,28539,28890,29289,29676,30077,30482,30904,31330,31748,32178,32597,33031,33455,33862,34270,34687,35103,35514,35943,36396,36869,37345,37824,38267,38767,39282,39765,40229,40704,41193,41724,42249,42759,43304,43862,44408,44972,45555,46110,46689,47290,47889,48507,49112,49753,50414,51068,51720,52441,53162,53830,54531,55200,55903,56564,57282,58001,58666,59392,60132,60916,61736,62599,63424,64232,65064,65977,66875,67788,68660,69557,70448,71369,72312,73259,74234,75171,76182,77196,78244,79303,80421,81528,82669,83813,84913,86059,87175,88336,89544,90742,91877,93094,94340,95592,96887,98194,99484,100824,102145,103502,104861,106224,107642,109053,110537,111954,113470,114990,116555,118141,119697,121302,122942,124635,126463,128263,130093,131950,133757,135672,137468,139400,141416,143424,145469,147545,149704,151812,153903,156133,158346,160611,162881,165290,167632,170080,172446,174930,177423,179863,182409,185065,187876,190529,193189,195865,198555,201259,204121,207040,209883,212812,215794,218804,221816,225014,228249,231501,234690,237970,241278,244680,248103,251555,255071,258676,262345,266022,269727,273522,277390,281211,285174,289143,293231,297272,301464,305679,310007,314315,318662,323141,327581,332097,336559,341235,345990,350860,355696,360721,365648,370751,376013,381225,386547,391988,397373,402831,408429,414109,419966,425768,431770,437755,443722,449946,456169
1,1,1,2,3,4,6,6,7,7,7,8,9,11,12,12,12,12,12,17,20,24,25,27,30,34,39,40,42,48,50,55,60,64,74,78,87,97,107,115,121,131,144,151,158,164,178,187,201,215,226,238,249,264,278,287,299,311,321,332,342,348,363,374,380,401,416,436,462,487,507,533,551,575,616,642,673,702,737,776,819,857,895,933,971,1015,1068,1115,1166,1231,1287,1334,1383,1441,1493,1553,1625,1689,1743,1797,1853,1906,1970,2048,2112,2171,2218,2289,2369,2438,2498,2564,2623,2701,2762,2829,2901,2957,3027,3097,3184,3261,3332,3408,3487,3585,3658,3737,3823,3899,3997,4095,4179,4267,4325,4434,4519,4614,4726,4836,4942,5027,5133,5247,5335,5423,5524,5632,5728,5842,5950,6061,6183,6300,6432,6577,6682,6827,6957,7102,7256,7371,7495,7617,7761,7910,8083,8243,8360,8516,8687,8832,8985,9142,9316,9475,9628,9782,9942,10090,10226,10393,10572,10755,10927,11119,11332,11499,11707,11896,12083,12265,12479,12665,12886,13108,13301,13524,13732,13923,14147,14330,14510,14732,14956,15169,15398,15638,15888,16121,16352,16566,16826,17080,17324,17563,17809,18093,18354,18624,18914,19178,19434,19698,19962,20267,20541,20872,21160,21474,21792,22095,22397,22701,23042,23369,23739,24103,24452,24780,25138,25526,25935,26355,26760,27141,27580,28019,28438,28865,29337,29778,30261,30780,31272,31764,32300,32833,33370,33944,34492,35112,35763,36333,36943,37552,38176,38821,39483,40173,40824,41554,42276,42989,43721,44504,45232,45994,46812,47596,48382,49224,50061,50906,51737,52604,53487,54402,55259,56201,57158,58127,59085,60087,61109,62169,63221,64214,65292,66431,67560,68619,69792,70908,72056,73241,74505,75769,77015,78293,79602,80959,82259,83594,85025,86506,87887,89296,90746,92228,93734,95405,96992,98586,100248,101854,103535,105270,107013,108841,110626,112443,114285,116239,118148,120127,122083,124049,126148,128163,130114,132171,134287,136305,138457,140749,142993,145294,147538,149759,152057,154376,156786,159223,161667,164115,166711,169312,171918,174452,177243,180015,182880,185756,188679,191636,194621,197694,200774,203931,207263,210578,213970,217382,220757,224317,227955,231779,235497,239257,243136,247061,251034,254952,259097,263181,267403,271674,275911,280115,284419,288661,293063,297681,302267,306955,311671,316341,321104,325871,330882,335843,340940,346131,351353,356652,361959,367335,372798,378351,383959,389786,395492,401395,407292,413295,419428,425541,431795,438131,444484,451064,457733,464366,471168,478000,485002,492070,499183,506360,513731,521201,528763,536304,543782,551392,559220,566941,575068,583128,591342,599512,607765,616346,624768,633465,642050,650757,659460,668319,677504,686687,695753,704919,714458,724030,733842,743693,753734,763760,773878,784049,794341,804854,815566,826307,837199,848186,859219,870407,881826,893165,904807,916608,928411,940457,952499,964671,976955,989345,1002042,1014981,1027883,1041009,1054122,1067608,1081152,1094608,1108165,1122181,1136661,1150961,1165345,1179817,1194549,1209367,1224488
1,1,1,1,1,1,1,1,2,2,2,3,4,5,6,11,11,11,11,11,12,15,19,21,23,27,31,35,39,48,51,57,59,64,66,72,78,83,88,95,101,104,108,116,127,134,143,148,161,171,177,185,199,210,221,234,250,263,279,293,308,316,332,351,364,381,398,418,430,453,474,487,508,529,551,574,593,610,624,644,662,672,687,702,718,735,756,769,787,807,827,845,863,882,905,920,936,958,981,1004,1021,1041,1066,1092,1108,1134,1151,1186,1203,1235,1263,1290,1321,1350,1391,1420,1453,1479,1520,1565,1602,1645,1683,1735,1781,1825,1874,1923,1974,2019,2071,2124,2177,2231,2286,2339,2396,2449,2493,2546,2599,2654,2713,2763,2810,2857,2912,2973,3011,3078,3127,3178,3233,3295,3352,3395,3455,3518,3569,3612,3665,3718,3780,3830,3866,3912,3966,4027,4100,4163,4227,4292,4352,4412,4469,4537,4587,4646,4701,4779,4855,4934,5023,5108,5180,5259,5347,5446,5535,5633,5715,5809,5913,6016,6109,6219,6315,6405,6510,6601,6695,6796,6910,7013,7140,7250,7373,7506,7600,7703,7807,7919,8042,8154,8286,8395,8525,8663,8781,8930,9057,9213,9361,9539,9699,9836,9996,10167,10347,10521,10721,10900,11065,11244,11446,11642,11822,12030,12231,12452,12655,12851,13084,13289,13510,13722,13955,14196,14441,14664,14923,15129,15380,15646,15872,16146,16430,16724,17009,17337,17650,17979,18277,18609,18923,19262,19602,19965,20372,20721,21090,21421,21805,22190,22589,23028,23429,23871,24260,24702,25150,25616,26055,26530,26989,27491,27968,28454,28991,29500,30062,30605,31128,31676,32203,32760,33341,33946,34491,35062,35633,36227,36879,37484,38091,38770,39424,40055,40738,41380,42076,42755,43419,44091,44802,45551,46315,47073,47822,48531,49261,49992,50817,51644,52385,53219,54014,54794,55625,56458,57295,58217,59044,59869,60749,61632,62593,63471,64452,65397,66321,67314,68282,69286,70347,71394,72576,73687,74884,76042,77184,78367,79631,80946,82259,83533,84827,86138,87548,88895,90327,91730,93216,94647,96153,97652,99196,100699,102190,103721,105190,106729,108253,109748,111375,113036,114726,116365,118025,119654,121306,122905,124622,126307,128028,129803,131661,133420,135278,137143,139051,140891,142744,144724,146737,148716,150767,152825,154894,157107,159247,161522,163750,166057,168384,170700,173067,175492,177972,180438,182977,185595,188179,190897,193533,196257,199044,201846,204673,207602,210462,213438,216417,219501,222536,225586,228748,231886,235002,238195,241455,244810,248048,251426,254719,258074,261543,265071,268554,272171,275771,279386,283123,286871,290809,294674,298648,302670,306782,310983,315261,319436,323822,328116,332588,337221,341890,346595,351397,356444,361423,366485,371584,376736,381923,387223,392537,397933,403394,408947,414679,420571,426424,432224,438103,444091,450095,456166,462309,468534,474877,481240,487599,493951,500607,507366,514091,520707,527579,534408,541477,548768,555999,563415,570848,578326,585825
1,1,1,2,3,4,6,6,7,8,9,11,13,13,16,18,22,24,25,26,30,35,39,45,51,55,58,64,70,78,82,87,94,107,118,123,131,148,162,168,178,184,196,207,218,227,238,247,259,275,291,303,317,337,358,367,391,413,435,448,468,490,511,537,557,576,598,621,645,668,703,723,750,782,813,836,855,896,934,964,992,1021,1049,1100,1138,1186,1237,1292,1347,1396,1445,1502,1557,1615,1669,1723,1786,1846,1917,1969,2037,2100,2168,2236,2305,2378,2456,2537,2628,2717,2802,2889,2988,3090,3179,3270,3369,3471,3564,3668,3756,3867,3989,4109,4231,4354,4489,4637,4752,4893,5010,5154,5278,5435,5604,5746,5868,6011,6173,6332,6500,6678,6869,7042,7187,7357,7541,7725,7896,8077,8261,8468,8673,8870,9051,9254,9464,9688,9910,10130,10367,10618,10864,11123,11349,11610,11870,12152,12412,12672,12962,13268,13565,13865,14165,14447,14754,15048,15349,15609,15889,16193,16500,16801,17117,17415,17722,18049,18374,18697,19002,19334,19650,19964,20285,20602,20920,21251,21552,21879,22195,22528,22853,23159,23503,23809,24154,24477,24834,25190,25564,25980,26383,26791,27169,27556,27940,28347,28769,29135,29523,29969,30357,30806,31265,31693,32164,32622,33108,33585,34069,34518,34999,35464,36006,36488,36990,37500,38035,38553,39147,39679,40266,40837,41350,41913,42458,42999,43561,44101,44710,45298,45875,46545,47190,47850,48463,49124,49786,50471,51134,51857,52563,53269,53989,54692,55440,56166,56906,57698,58471,59234,60038,60863,61758,62619,63531,64383,65278,66152,67094,68006,68960,69914,70878,71911,72964,74038,75139,76223,77351,78456,79573,80725,81898,83116,84335,85621,86950,88244,89594,90946,92327,93760,95118,96555,98043,99495,100982,102464,104031,105598,107212,108806,110373,112057,113738,115444,117139,118838,120637,122395,124208,126016,127782,129677,131620,133590,135638,137685,139809,141914,144025,146286,148500,150815,153080,155377,157746,160070,162569,164967,167445,170021,172563,175175,177836,180482,183203,185788,188479,191252,193919,196660,199534,202440,205394,208246,211233,214283,217284,220432,223558,226711,229854,233131,236561,239949,243352,246946,250501,254002,257686,261399,265177,269036,272968,276822,280702,284638,288690,292716,296881,300959,305152,309541,313901,318330,322806,327491,332072,336728,341386,346145,351031,355985,360916,365966,371065,376197,381714,387114,392660,398123,403674,409256,415072,420918,426877,432884,438880,444967,451102,457291,463668,470107,476459,483134,489797,496672,503502,510366,517242,524252,531369,538451,545650,552921,560233,567575,574985,582628,590403,598097,606013,614022,622223,630416,638755,647144,655666,664409,673167,682047,691241,700554,709950,719113,728575,737995,747609,757459,767489,777583,787592,797781,808117,818684,829182,840136,850991,862050,873315,884491,896062,907518,919216,931040,942983,954930,966905,979062,991380,1003848,1016564,1029525,1042536,1055664,1068900,1082275,1095641,1109552,1123420,1137439,1151611,1165964,1180216,1194864,1209588,1224599,1239692,1255152,1270585,1286433,1302034,1317925,1334092
1,1,1,1,1,1,5,7,9,10,11,13,13,14,15,19,19,24,26,33,38,45,48,53,59,70,73,80,90,96,98,113,127,134,141,149,163,172,177,186,194,204,215,220,229,238,247,260,271,284,291,302,319,328,347,364,381,392,407,427,445,460,483,505,522,542,558,574,592,619,641,659,691,725,755,798,823,850,891,932,962,990,1023,1066,1110,1150,1195,1222,1269,1300,1338,1367,1401,1443,1478,1511,1552,1600,1641,1683,1708,1759,1798,1838,1887,1931,1966,2007,2047,2089,2130,2187,2233,2281,2317,2352,2407,2464,2509,2548,2584,2625,2670,2710,2758,2818,2860,2906,2947,2999,3057,3111,3161,3206,3248,3305,3354,3417,3497,3558,3634,3701,3776,3865,3943,4016,4092,4164,4257,4326,4412,4503,4585,4671,4753,4850,4937,5039,5135,5243,5341,5438,5525,5629,5733,5823,5916,6025,6132,6243,6374,6509,6648,6753,6881,6987,7133,7238,7376,7521,7653,7775,7929,8088,8254,8429,8598,8747,8925,9104,9293,9479,9682,9910,10123,10338,10552,10754,10991,11229,11478,11716,11963,12242,12493,12730,12977,13216,13479,13747,14016,14307,14585,14877,15170,15440,15742,16025,16327,16628,16934,17253,17571,17895,18225,18583,18931,19259,19584,19936,20287,20642,20992,21363,21765,22182,22576,22984,23371,23803,24240,24681,25148,25600,26035,26479,26952,27453,27951,28486,29028,29554,30091,30656,31192,31735,32329,32929,33529,34139,34711,35325,35944,36608,37273,37932,38574,39220,39941,40599,41277,42019,42756,43530,44292,45051,45811,46587,47315,48119,48908,49756,50596,51462,52277,53122,53998,54942,55853,56813,57773,58731,59645,60670,61640,62630,63619,64649,65637,66624,67612,68667,69704,70814,71876,72991,74042,75173,76283,77485,78638,79815,81052,82280,83598,84927,86270,87627,88887,90203,91503,92805,94103,95567,97001,98383,99873,101284,102816,104308,105772,107254,108776,110301,111861,113495,115160,116773,118411,120169,121882,123622,125352,127215,129101,130906,132772,134619,136475,138528,140537,142535,144502,146509,148608,150808,153064,155270,157574,159844,162163,164421,166805,169169,171572,173953,176420,178934,181502,184077,186775,189352,191973,194590,197413,200173,203002,205774,208617,211420,214200,216986,219903,222837,225833,228828,231789,234885,237817,241009,244174,247349,250635,253921,257278,260697,264143,267698,271354,274924,278774,282547,286387,290254,294206,298016,302092,306206,310374,314574,318835,323074,327363,331674,336068,340594,345097,349628,354294,358980,363762,368608,373516,378591,383764,388797,393989,399323,404635,409907,415461,420983,426552,432216,438006,443736,449541,455518,461512,467544,473766,480108,486499,492744,499001,505512,512006,518484,525291,532194,539182,546255,553269,560580,567989,575353,582919,590475,598153,605953,614095,622105,630220,638429,646847,655379,663977,672619,681452,690283,699139,708289,717287,726592,736119,745623,755283,765133,775027,785045,795197,805458,815795,826097,836721,847525,858410,869569,880714,892047,903608,915053,926792,938516,950297,962535,974905
1,1,3,3,6,6,9,10,11,15,18,21,23,23,26,29,32,39,44,51,57,66,77,87,92,99,111,115,123,134,143,151,161,174,182,189,205,218,227,234,242,249,258,266,274,283,292,301,317,331,340,345,359,378,393,412,435,459,477,499,519,543,571,598,634,671,704,735,774,800,831,861,904,931,975,1014,1054,1099,1148,1191,1225,1255,1296,1358,1409,1462,1516,1566,1635,1702,1760,1818,1886,1956,2030,2107,2190,2278,2356,2430,2505,2581,2646,2728,2819,2891,2964,3051,3140,3222,3303,3380,3477,3573,3653,3736,3827,3939,4046,4142,4245,4355,4458,4556,4677,4780,4903,5048,5177,5309,5453,5579,5714,5849,5994,6128,6257,6415,6563,6715,6869,7033,7195,7361,7547,7729,7937,8121,8296,8470,8650,8852,9036,9194,9389,9596,9784,9975,10151,10368,10558,10792,11018,11227,11443,11673,11902,12132,12341,12556,12756,12997,13212,13447,13698,13926,14139,14377,14616,14845,15090,15364,15607,15854,16141,16419,16693,16986,17283,17565,17862,18175,18475,18783,19081,19403,19697,20025,20341,20657,21033,21378,21738,22110,22472,22873,23245,23688,24083,24479,24927,25327,25782,26194,26638,27086,27557,28024,28532,29004,29483,30027,30516,31063,31561,32021,32525,32997,33540,34069,34602,35113,35634,36140,36656,37188,37737,38280,38778,39271,39785,40337,40880,41446,42009,42580,43177,43756,44345,44944,45548,46181,46836,47431,48059,48734,49382,50011,50681,51322,52036,52707,53381,54083,54749,55435,56149,56882,57597,58300,59016,59799,60554,61354,62179,62925,63730,64558,65366,66174,67002,67799,68669,69540,70417,71303,72174,73067,73992,74947,75916,76914,77968,78961,80021,81085,82078,83103,84111,85201,86246,87321,88382,89480,90521,91628,92780,94006,95178,96383,97610,98852,100136,101347,102621,103854,105207,106497,107864,109205,110534,111928,113330,114770,116240,117684,119100,120627,122130,123667,125264,126811,128394,130035,131569,133174,134838,136538,138233,139935,141738,143496,145304,147104,148964,150742,152577,154460,156408,158338,160359,162357,164373,166500,168629,170763,172886,175077,177319,179597,181870,184222,186549,188867,191224,193662,196082,198636,201230,203844,206490,209200,211874,214547,217341,220169,222974,225816,228787,231808,234872,237949,241123,244346,247609,251036,254458,257963,261483,265153,268867,272613,276475,280345,284313,288250,292356,296385,300568,304793,309154,313539,318033,322553,327202,331904,336558,341361,346244,351205,356257,361397,366709,371907,377306,382748,388316,393942,399544,405288,411104,417047,422967,429033,435104,441189,447421,453934,460501,467022,473499,480250,487134,494220,501392,508502,515863,523213,530651,538182,545557,553149,560916,568585,576452,584617,592850,601160,609527,617963,626440,635068,643687,652435,661184,669957,679065,688261,697442,706697,716285,725789,735441,745027,754850,764847,774756,784927,795149,805535,815933,826466,837181,847992,858833,870053,881222,892469,903903,915552,927244,939112,950989,963160,975452,987969,1000424,1013144,1026093,1039123,1052539,1065962,1079604,1093343,1107043,1121078,1135384
1,1,1,1,1,6,7,10,10,10,11,11,11,13,14,17,20,23,25,26,27,29,32,34,38,42,48,55,61,62,72,85,100,112,119,130,142,154,172,196,209,221,242,260,274,281,298,321,335,350,364,384,406,422,453,492,521,545,570,598,622,650,675,708,735,764,786,811,832,866,899,926,959,986,1020,1050,1084,1127,1162,1193,1236,1279,1321,1355,1401,1449,1506,1543,1588,1630,1679,1730,1789,1837,1896,1939,1979,2023,2075,2117,2152,2203,2245,2288,2335,2376,2424,2462,2514,2571,2619,2679,2744,2809,2870,2938,3006,3082,3149,3216,3281,3343,3417,3482,3554,3652,3753,3832,3918,4015,4110,4193,4291,4390,4476,4562,4669,4786,4888,4997,5121,5221,5336,5451,5554,5669,5792,5909,6028,6155,6290,6428,6559,6688,6809,6964,7109,7243,7390,7528,7655,7778,7924,8100,8244,8398,8554,8696,8851,9040,9222,9404,9567,9721,9907,10114,10301,10492,10690,10903,11084,11306,11514,11717,11951,12195,12398,12617,12842,13049,13282,13491,13698,13924,14148,14396,14616,14855,15077,15324,15568,15824,16048,16286,16533,16769,17024,17251,17512,17767,18002,18268,18535,18787,19047,19291,19570,19849,20119,20400,20675,20977,21239,21564,21879,22206,22503,22788,23078,23418,23729,24069,24373,24697,25043,25390,25745,26126,26491,26855,27184,27565,27930,28288,28620,29016,29366,29790,30149,30540,30969,31375,31806,32204,32654,33106,33529,34000,34469,34968,35402,35939,36423,36935,37515,38025,38609,39145,39717,40286,40883,41468,42074,42745,43365,43982,44633,45313,45920,46556,47181,47823,48496,49184,49864,50537,51201,51904,52585,53323,54064,54767,55489,56187,56951,57724,58453,59190,59902,60699,61503,62309,63171,64014,64812,65744,66613,67500,68452,69382,70314,71303,72288,73270,74262,75288,76410,77483,78549,79670,80789,81885,83071,84198,85332,86499,87713,88893,90123,91376,92651,93992,95359,96736,98019,99418,100773,102155,103559,104984,106540,108035,109551,111117,112768,114379,116044,117691,119264,121000,122809,124594,126399,128229,130056,131982,133828,135844,137884,139917,141987,144124,146268,148384,150480,152734,155034,157341,159631,161983,164400,166787,169280,171654,174148,176735,179221,181772,184479,187218,189887,192616,195355,198238,201080,203971,207028,210112,213183,216323,219427,222662,225820,229079,232360,235739,239302,242835,246314,249890,253573,257284,260945,264672,268421,272261,276128,280074,284154,288200,292197,296287,300485,304591,308887,313211,317750,322147,326614,331255,335881,340576,345465,350205,355186,360120,365011,370096,375240,380495,385791,391044,396423,401919,407330,412872,418692,424306,429993,435786,441726,447707,453748,460039,466373,472888,479348,485794,492514,499221,505971,512976,519751,526965,534054,541465,548876,556509,564099,571709,579473,587524,595424,603366,611607,619879,628238,636591,645114,653728,662468,671195,680142,689134,698214,707525,716864,726088,735436,744847,754613,764475,774408,784413,794607,805053,815428,826023,836725,847333,858163,869208,880153,891561,902967,914522,926229
1,1,1,1,1,1,2,2,4,4,5,6,9,11,12,15,16,16,20,23,26,29,33,38,39,45,52,57,62,68,72,77,84,90,97,102,111,116,124,129,141,151,155,161,177,183,196,202,214,224,234,240,250,255,265,269,279,291,307,318,329,336,352,362,372,384,398,418,439,449,473,485,499,520,545,577,605,629,656,685,722,750,779,812,847,881,928,959,984,1021,1063,1095,1130,1168,1214,1258,1302,1342,1386,1429,1468,1510,1565,1616,1668,1724,1775,1846,1912,1971,2031,2106,2188,2246,2316,2389,2468,2525,2599,2669,2748,2830,2930,3004,3094,3190,3267,3343,3426,3513,3603,3702,3804,3904,3997,4112,4212,4318,4434,4521,4629,4744,4845,4963,5068,5195,5312,5434,5558,5694,5837,5955,6109,6240,6385,6556,6682,6845,7012,7195,7375,7569,7753,7953,8166,8345,8558,8776,8966,9172,9396,9583,9762,9964,10163,10386,10587,10834,11050,11283,11496,11708,11920,12159,12374,12605,12836,13058,13316,13561,13786,14008,14234,14473,14709,14964,15201,15454,15703,15976,16286,16554,16818,17086,17366,17661,17946,18204,18481,18769,19062,19352,19670,19984,20285,20626,20925,21230,21610,21904,22225,22581,22952,23327,23689,24045,24403,24772,25162,25555,25961,26367,26799,27238,27649,28083,28542,29043,29507,29967,30492,31017,31487,32021,32519,33072,33579,34165,34725,35297,35855,36423,37004,37615,38235,38867,39525,40154,40783,41431,42038,42689,43360,44079,44734,45411,46097,46765,47464,48207,48912,49654,50380,51110,51873,52629,53383,54141,54983,55776,56631,57460,58283,59174,60037,60943,61879,62801,63674,64628,65575,66545,67560,68574,69550,70598,71635,72732,73859,74957,76101,77172,78343,79479,80696,81921,83132,84379,85616,86864,88146,89536,90847,92220,93572,94921,96317,97785,99257,100787,102312,103910,105433,107027,108651,110393,112077,113769,115430,117253,119126,120950,122826,124747,126672,128582,130532,132520,134586,136676,138844,140893,143094,145359,147506,149800,152156,154491,156884,159270,161682,164070,166529,169093,171616,174139,176791,179378,182133,184900,187633,190373,193132,195973,198927,201818,204655,207568,210438,213438,216582,219723,222787,225827,229094,232331,235618,238919,242323,245715,249145,252590,256021,259547,263120,266797,270405,274138,278018,281869,285751,289662,293705,297663,301809,305967,310069,314232,318489,322834,327214,331730,336280,340859,345544,350322,355102,359770,364641,369606,374661,379761,384785,390023,395350,400725,406248,411859,417439,423068,428669,434645,440508,446404,452661,458899,465155,471442,477836,484321,490840,497526,504353,511216,518271,525396,532525,539692,547116,554457,561847,569245,576812,584435,592275,600185,608158,616046,624163,632353,640609,649170,657649,666268,674984,683701,692592,701577,710732,719963,729303,738695,748240,757917,767922,778084,788203,798637,808829,819403,829963,840631,851299,862372,873365,884604,895995,907577,919081,930752,942803,954766,966778,978823,990862,1003282,1015897,1028509,1041317,1054238,1067301,1080609,1094149,1107735,1121349,1135141,1148960
1,1,3,3,4,5,6,8,9,10,11,12,13,14,16,18,19,21,27,30,37,43,52,60,74,81,87,94,106,120,123,131,141,151,162,176,186,198,211,225,238,256,267,279,291,304,316,332,347,364,382,398,406,422,441,461,479,495,516,539,561,578,598,621,652,678,705,720,736,765,789,820,852,871,904,928,952,979,1009,1039,1069,1097,1129,1168,1205,1222,1252,1289,1324,1360,1381,1412,1441,1471,1502,1545,1577,1616,1661,1690,1728,1764,1798,1834,1895,1938,1973,2018,2073,2123,2170,2212,2268,2324,2376,2429,2492,2551,2615,2680,2741,2815,2880,2954,3029,3105,3167,3241,3325,3402,3496,3586,3661,3743,3818,3895,3972,4047,4131,4206,4274,4347,4435,4505,4585,4682,4747,4833,4923,4976,5058,5147,5256,5330,5436,5537,5639,5747,5844,5949,6036,6133,6251,6357,6466,6551,6662,6765,6893,7002,7144,7246,7351,7462,7583,7695,7803,7920,8046,8160,8265,8365,8471,8575,8694,8787,8878,8963,9069,9173,9270,9388,9499,9605,9706,9804,9915,10017,10126,10230,10328,10428,10528,10631,10750,10893,11008,11117,11249,11365,11488,11631,11741,11881,12001,12133,12276,12415,12567,12726,12891,13051,13197,13359,13517,13726,13894,14085,14293,14498,14708,14918,15123,15318,15532,15706,15891,16104,16332,16575,16779,16984,17220,17473,17715,17958,18183,18440,18667,18933,19193,19481,19734,20024,20333,20633,20978,21273,21578,21899,22217,22574,22909,23269,23658,23989,24319,24716,25102,25491,25910,26328,26780,27242,27703,28170,28648,29160,29629,30191,30738,31307,31874,32449,33070,33633,34197,34827,35400,36027,36618,37221,37816,38510,39216,39862,40540,41179,41792,42480,43115,43859,44609,45303,46019,46699,47450,48144,48930,49743,50565,51384,52210,52983,53828,54692,55575,56409,57308,58148,59071,60011,60969,61904,62858,63796,64820,65865,66860,67918,68970,70014,71124,72167,73228,74317,75495,76671,77841,78952,80077,81290,82548,83701,84947,86249,87510,88789,90103,91462,92826,94260,95650,97077,98563,99994,101477,102962,104456,105994,107590,109202,110845,112486,114116,115808,117648,119454,121290,123058,124908,126771,128721,130749,132732,134724,136831,138948,141108,143333,145548,147900,150247,152673,155060,157487,160014,162586,165141,167778,170388,173070,175816,178582,181454,184284,187254,190062,193078,196149,199256,202340,205504,208724,211978,215264,218637,222108,225583,229049,232509,236039,239649,243385,247144,250917,254809,258686,262670,266717,270835,274821,278995,283218,287477,291882,296281,300731,305186,309817,314505,319220,324015,328918,333930,338824,343975,349113,354443,359730,365159,370660,376314,382065,387862,393528,399464,405528,411626,417837,423986,430316,436504,442987,449410,456057,462768,469679,476479,483402,490419,497310,504387,511585,519167,526619,534042,541642,549331,556957,564850,572773,580588,588583,596790,605173,613577,622042,630536,639118,647875,656802,665814,674967,684241,693574,702975,712547,722044,731776,741723,751767,761944,772336,782703,793327,803846
1,1,1,2,4,5,7,8,9,12,14,14,15,17,19,20,23,26,29,31,35,40,47,57,66,81,95,102,116,128,139,149,163,185,201,217,226,240,253,268,293,317,347,378,404,428,456,481,509,534,564,585,621,645,671,705,729,760,792,822,846,870,901,934,955,989,1025,1063,1103,1141,1193,1244,1281,1318,1377,1432,1474,1541,1601,1661,1734,1804,1869,1950,2020,2104,2170,2252,2346,2438,2521,2602,2682,2768,2841,2935,3024,3123,3203,3298,3376,3462,3561,3656,3754,3885,3975,4076,4163,4272,4386,4494,4601,4706,4811,4924,5043,5150,5273,5390,5508,5634,5758,5899,6007,6153,6296,6461,6609,6769,6920,7086,7255,7442,7617,7771,7950,8119,8303,8481,8635,8806,8979,9178,9355,9535,9722,9923,10110,10306,10493,10680,10860,11061,11232,11407,11615,11795,11973,12124,12315,12549,12725,12910,13105,13293,13495,13683,13886,14092,14311,14541,14735,14965,15172,15367,15578,15788,15999,16201,16436,16662,16931,17170,17404,17635,17863,18124,18386,18630,18903,19184,19470,19752,20032,20304,20621,20886,21206,21495,21815,22153,22474,22754,23048,23344,23658,23980,24337,24714,25042,25388,25748,26070,26445,26843,27219,27587,27964,28359,28746,29148,29548,29952,30318,30723,31123,31524,31916,32347,32743,33113,33547,33904,34354,34771,35211,35622,36071,36531,36956,37396,37827,38311,38792,39319,39827,40304,40790,41258,41742,42237,42745,43213,43751,44336,44899,45483,46059,46611,47181,47751,48361,48988,49561,50206,50855,51504,52162,52808,53458,54123,54850,55571,56250,56942,57648,58407,59169,59978,60714,61519,62329,63131,63977,64801,65637,66538,67417,68356,69249,70165,71111,72099,73037,74015,74993,75988,77035,78043,79095,80158,81206,82273,83403,84575,85739,86900,88109,89288,90499,91664,92914,94177,95473,96802,98104,99419,100771,102152,103527,104989,106453,108023,109507,111027,112597,114171,115816,117366,118886,120427,122007,123597,125263,126969,128691,130378,132116,133973,135697,137514,139333,141255,143038,144924,146899,148868,150791,152778,154729,156822,158899,161036,163210,165410,167611,169888,172062,174354,176750,179043,181396,183854,186402,189000,191562,194229,196878,199617,202464,205299,208108,211036,214007,216982,219951,223032,226098,229316,232561,235850,239155,242431,245844,249186,252639,256127,259769,263417,267118,270762,274462,278153,281902,285835,289805,293722,297870,301891,305978,310206,314332,318706,323031,327348,331786,336334,340918,345631,350419,355223,360141,365195,370334,375377,380514,385753,391047,396425,401869,407393,413126,418973,424832,430696,436748,442717,448914,454823,461008,467283,473726,480231,486968,493601,500388,507178,514094,521191,528145,535205,542386,549756,557114,564589,572150,579782,587706,595622,603702,611811,619949,628219,636460,644999,653681,662515,671273,680233,689264,698484,707812,717231,726765,736550,746240,755986,766163,776297,786702,797213,807632,818297,829097,839933,850931,862234,873655,885119,896671,908556,920307,932344,944357,956416,968831,981330,993932,1006849,1019854,1032758,1046032,1059451,1073146,1086875,1100771
1,1,1,1,1,4,5,6,6,10,12,12,14,15,18,22,29,34,40,43,55,60,72,83,91,109,114,123,135,141,152,161,172,187,201,212,222,234,249,267,280,295,316,331,341,351,364,379,398,408,418,431,444,456,466,479,496,512,532,545,561,578,592,610,615,630,645,653,679,696,712,730,744,762,787,803,821,836,855,886,914,932,961,990,1014,1035,1071,1104,1133,1166,1190,1239,1271,1302,1334,1380,1423,1473,1524,1568,1607,1650,1694,1746,1794,1842,1887,1925,1968,2016,2078,2128,2178,2241,2294,2353,2403,2450,2515,2567,2621,2688,2759,2821,2879,2944,3011,3069,3130,3208,3262,3350,3398,3457,3531,3594,3664,3741,3824,3901,3989,4076,4160,4240,4321,4402,4491,4587,4668,4767,4868,4980,5081,5171,5271,5375,5472,5591,5673,5754,5841,5932,6023,6111,6199,6281,6378,6474,6558,6620,6704,6784,6854,6941,7026,7121,7197,7298,7399,7494,7602,7718,7819,7921,8028,8126,8248,8348,8462,8573,8695,8828,8951,9074,9204,9349,9476,9619,9749,9873,10042,10188,10330,10463,10611,10743,10887,11027,11158,11284,11435,11579,11708,11852,11999,12151,12306,12460,12607,12727,12885,13022,13176,13320,13461,13610,13765,13938,14085,14249,14436,14613,14787,14977,15162,15364,15572,15804,16088,16285,16525,16754,16999,17276,17526,17784,18067,18326,18589,18872,19137,19432,19694,19972,20261,20575,20837,21124,21430,21735,22038,22324,22647,22967,23289,23610,23957,24279,24639,24958,25319,25660,26024,26341,26697,27071,27457,27859,28240,28594,28968,29343,29694,30099,30490,30874,31300,31712,32117,32540,32966,33394,33876,34324,34758,35207,35697,36165,36604,37083,37602,38054,38525,39007,39499,40012,40483,40995,41485,41940,42397,42898,43383,43863,44396,44880,45336,45889,46382,46897,47410,47878,48385,48894,49423,49988,50585,51109,51658,52238,52814,53374,53955,54585,55200,55831,56469,57132,57795,58447,59117,59779,60456,61139,61817,62511,63205,63869,64548,65228,65936,66688,67415,68136,68875,69600,70386,71201,72021,72815,73623,74390,75200,76024,76905,77766,78631,79565,80467,81328,82222,83151,84137,85099,86100,87115,88123,89090,90153,91170,92197,93238,94263,95339,96364,97467,98570,99627,100774,101883,103012,104160,105322,106534,107708,108967,110190,111435,112680,113960,115285,116672,118032,119473,120893,122306,123729,125138,126624,128121,129650,131231,132895,134493,136150,137825,139444,141144,142885,144683,146490,148346,150158,151970,153793,155697,157579,159571,161588,163702,165753,167832,169996,172278,174542,176780,179018,181446,183932,186418,188944,191517,194124,196782,199478,202302,205051,207910,210801,213748,216693,219724,222886,226010,229087,232222,235553,238855,242185,245537,248857,252260,255702,259136,262703,266311,269893,273501,277278,280978,284918,288828,292729,296662,300835,305112,309328,313635,317838,322178,326616,331188,335810,340438,345034,349789,354672,359580,364496,369543,374569,379793,385111,390592,395934,401508,407128
1,1,1,2,3,4,7,9,11,14,19,23,26,28,31,40,50,61,67,75,83,89,98,108,117,133,137,151,164,167,190,198,210,216,223,232,236,240,243,246,250,256,263,269,273,277,278,281,289,294,295,296,300,301,304,309,312,316,318,320,323,325,328,330,333,335,339,340,340,341,341,346,346,353,360,365,373,380,384,387,392,401,407,414,421,431,444,453,463,468,475,489,496,508,518,525,528,538,544,545,556,558,567,572,578,585,589,596,605,611,616,618,625,629,636,642,647,652,659,661,672,679,682,687,696,703,703,716,721,730,736,747,758,768,782,792,805,819,830,846,857,868,886,912,928,946,966,987,996,1016,1029,1040,1055,1075,1095,1111,1128,1150,1168,1189,1209,1222,1247,1265,1283,1294,1317,1357,1374,1394,1420,1436,1456,1478,1501,1526,1556,1588,1624,1653,1682,1717,1753,1791,1827,1853,1887,1924,1956,1978,2025,2064,2093,2122,2164,2191,2223,2260,2297,2328,2360,2396,2433,2474,2510,2549,2588,2631,2677,2713,2752,2795,2835,2884,2936,2995,3047,3099,3143,3193,3252,3319,3378,3447,3517,3571,3637,3712,3794,3858,3929,3986,4040,4102,4161,4228,4287,4365,4434,4512,4588,4658,4737,4801,4859,4929,5026,5094,5162,5270,5357,5442,5523,5601,5688,5760,5856,5951,6030,6110,6198,6309,6422,6541,6638,6741,6852,6969,7084,7201,7329,7432,7548,7680,7787,7918,8068,8188,8317,8469,8600,8741,8892,9025,9169,9327,9458,9591,9746,9884,10026,10181,10336,10476,10649,10832,10990,11141,11291,11441,11586,11754,11943,12112,12276,12445,12605,12773,12949,13131,13303,13484,13671,13847,14020,14236,14415,14592,14784,14966,15170,15350,15576,15771,15958,16180,16377,16584,16803,17022,17238,17438,17665,17909,18140,18337,18569,18793,19032,19289,19531,19737,19973,20217,20463,20720,20959,21224,21468,21732,22017,22292,22553,22812,23082,23358,23669,23958,24235,24533,24799,25105,25402,25696,25991,26285,26582,26917,27234,27566,27900,28235,28561,28916,29251,29616,29945,30298,30654,30965,31352,31721,32070,32465,32842,33218,33564,33980,34360,34725,35085,35469,35869,36303,36752,37185,37641,38091,38585,39035,39530,40032,40531,40982,41477,41962,42490,42971,43478,44045,44588,45138,45689,46286,46875,47433,48002,48566,49132,49743,50361,51010,51678,52301,52931,53547,54108,54745,55397,56072,56758,57398,58082,58727,59458,60235,60963,61728,62518,63312,64089,64852,65626,66440,67297,68171,69045,70043,70960,71885,72822,73759,74790,75793,76817,77843,78837,80004,81101,82264,83390,84463,85546,86729,87945,89140,90332,91583,92890,94162,95436,96732,98021,99321,100626,101941,103244,104626,105968,107309,108689,110082,111458,112886,114273,115731,117195,118612,120078,121595,123091,124580,126142,127582,129156,130710,132254
1,1,1,1,1,1,1,1,3,5,7,9,11,11,14,14,14,15,17,19,21,25,27,28,31,35,42,47,53,60,67,72,81,93,103,110,120,132,145,155,169,176,182,185,193,200,208,221,233,239,246,255,261,270,281,288,293,298,303,312,324,335,341,347,361,376,383,394,397,410,424,440,449,478,492,507,527,544,551,567,591,617,645,671,691,715,742,768,808,845,876,910,941,975,1006,1042,1081,1111,1139,1183,1220,1262,1287,1331,1367,1401,1446,1476,1514,1544,1574,1614,1654,1690,1711,1742,1787,1825,1850,1886,1925,1973,2007,2054,2087,2128,2177,2233,2289,2337,2390,2455,2517,2574,2625,2692,2753,2835,2898,2968,3041,3111,3175,3227,3293,3365,3444,3512,3606,3686,3779,3867,3956,4053,4161,4250,4344,4450,4546,4636,4734,4852,4960,5069,5188,5304,5425,5531,5637,5762,5879,6003,6126,6253,6375,6499,6652,6779,6907,7045,7169,7319,7442,7590,7741,7881,8014,8170,8306,8450,8611,8774,8957,9109,9276,9430,9616,9766,9929,10062,10207,10374,10555,10735,10914,11131,11315,11497,11700,11881,12094,12263,12447,12634,12801,12992,13200,13393,13608,13811,14011,14213,14437,14659,14890,15118,15346,15581,15808,16037,16295,16569,16820,17074,17353,17626,17923,18215,18487,18765,19066,19349,19636,19924,20198,20471,20792,21109,21453,21734,22026,22331,22663,22989,23287,23619,23978,24319,24701,25043,25436,25839,26233,26651,27074,27469,27835,28236,28598,29001,29407,29813,30210,30594,31002,31420,31856,32295,32781,33232,33656,34126,34589,35035,35525,36005,36478,36956,37411,37896,38369,38856,39369,39858,40389,40876,41387,41879,42422,42979,43489,44059,44619,45223,45822,46405,46987,47581,48218,48840,49467,50119,50765,51365,51978,52626,53302,53934,54583,55256,55975,56670,57420,58159,58862,59583,60343,61131,61906,62732,63590,64429,65341,66272,67190,68138,69094,70076,71070,72054,73097,74165,75178,76240,77350,78446,79561,80754,81878,83054,84278,85459,86663,87878,89072,90345,91690,93043,94392,95787,97149,98468,99865,101376,102767,104223,105783,107284,108869,110439,112044,113740,115375,117088,118850,120559,122348,124111,125927,127737,129638,131553,133413,135367,137400,139437,141382,143503,145627,147820,149952,152186,154430,156660,158981,161442,163931,166358,168881,171401,173949,176458,179060,181719,184443,187188,190046,192826,195635,198611,201545,204556,207600,210670,213791,216857,220101,223317,226557,229895,233306,236758,240335,243910,247507,251156,254939,258763,262617,266592,270565,274562,278728,282838,286988,291308,295646,300024,304463,308994,313594,318261,322960,327491,332215,337213,342094,347123,352236,357422,362636,367890,373277,378736,384208,389843,395419,401058,406826,412644,418519,424342,430375,436442,442508,448803,455091,461459,468006,474514,481280,487957,494789,501513,508584,515705,522933,530317,537697,545249,552803,560548,568208,576173,584219,592279,600455,608706,617120,625517,634085,642812,651616,660506,669345,678458,687435
1,1,2,3,3,4,4,9,10,14,19,19,26,26,28,34,37,42,45,52,62,70,80,91,105,116,130,140,150,159,167,176,188,199,211,223,233,242,253,265,278,286,302,316,328,344,368,395,422,442,465,483,502,529,554,587,617,640,671,703,742,779,818,857,906,953,993,1035,1075,1119,1167,1225,1265,1311,1363,1397,1438,1484,1535,1592,1635,1677,1720,1768,1827,1886,1936,1988,2032,2071,2135,2186,2230,2274,2315,2360,2402,2448,2499,2551,2616,2658,2711,2770,2806,2843,2887,2943,2985,3033,3081,3121,3173,3209,3251,3288,3327,3393,3458,3526,3583,3639,3705,3773,3832,3907,3994,4096,4184,4270,4367,4449,4546,4645,4735,4835,4925,5015,5121,5205,5310,5443,5552,5669,5790,5901,6009,6126,6242,6353,6469,6588,6689,6801,6935,7052,7184,7319,7455,7602,7727,7862,7962,8083,8184,8296,8438,8584,8726,8893,9028,9168,9307,9470,9622,9776,9925,10060,10216,10388,10533,10695,10832,10984,11156,11334,11514,11687,11868,12054,12231,12412,12584,12765,12941,13138,13347,13541,13724,13903,14117,14330,14545,14727,14953,15174,15412,15628,15823,16058,16273,16488,16728,16994,17200,17443,17649,17880,18120,18364,18619,18874,19153,19395,19664,19950,20202,20495,20794,21073,21388,21693,21988,22277,22571,22866,23237,23547,23877,24220,24527,24854,25192,25494,25827,26158,26474,26816,27181,27542,27883,28269,28646,29023,29416,29800,30163,30535,30946,31338,31747,32156,32598,33032,33504,33973,34457,34918,35380,35836,36308,36825,37332,37801,38376,38895,39452,39987,40505,41016,41593,42158,42745,43316,43948,44519,45104,45726,46338,46973,47605,48259,48903,49597,50293,51007,51667,52403,53129,53866,54596,55370,56142,56968,57813,58633,59460,60267,61135,62001,62883,63820,64709,65670,66671,67646,68592,69593,70602,71644,72736,73824,74848,75903,77093,78267,79403,80500,81665,82848,84010,85241,86464,87697,88957,90203,91483,92772,94056,95442,96842,98212,99568,100930,102324,103771,105184,106663,108118,109571,111083,112606,114201,115765,117262,118863,120532,122092,123718,125350,126935,128600,130298,131949,133658,135416,137153,138845,140637,142415,144256,146145,148050,149878,151746,153690,155680,157618,159704,161710,163819,166003,168127,170278,172470,174691,176899,179242,181580,184038,186445,188812,191285,193759,196289,198906,201545,204227,206875,209624,212400,215213,218005,220841,223732,226681,229617,232762,235937,239044,242171,245272,248532,251809,255087,258406,261947,265391,268920,272484,276133,279738,283428,287158,290878,294743,298581,302531,306390,310366,314463,318592,322908,327232,331525,335931,340455,344870,349420,354026,358710,363473,368234,373036,377956,382905,387726,392742,397956,403232,408481,413940,419490,425069,430651,436474,442260,448153,454130,460399,466707,473067,479415,485816,492431,499140,506100,512964,519865,527029,534126,541260,548504,555950,563517,571248,579069,586968,594902,602911,610868,619120,627485,635881,644422,653136,661891,670665,679654,688616,697675,706944,716361,725837,735371,745112,754846
1,1,1,1,1,1,1,1,5,6,7,9,11,11,13,17,20,23,26,28,32,36,39,52,57,66,73,83,89,96,108,117,134,147,155,165,176,186,197,206,213,220,227,231,238,242,250,255,257,260,265,271,276,281,282,285,290,293,301,304,309,317,325,332,342,353,358,367,375,386,396,408,420,433,442,457,475,497,516,545,565,586,612,640,674,696,718,741,773,805,834,865,903,934,960,989,1017,1046,1083,1119,1151,1180,1205,1232,1272,1306,1339,1376,1411,1451,1494,1542,1586,1634,1683,1733,1799,1845,1902,1932,1987,2048,2109,2173,2243,2318,2393,2458,2527,2579,2651,2715,2774,2849,2913,3011,3091,3168,3229,3303,3373,3450,3521,3591,3660,3713,3773,3842,3930,4004,4089,4185,4253,4316,4385,4451,4530,4605,4684,4771,4857,4950,5024,5112,5196,5291,5374,5447,5529,5601,5699,5785,5886,5984,6088,6174,6289,6380,6467,6556,6662,6762,6843,6955,7043,7152,7257,7380,7463,7553,7651,7753,7842,7950,8062,8189,8305,8448,8570,8709,8866,9009,9165,9338,9511,9663,9837,10001,10201,10373,10543,10706,10883,11093,11285,11513,11721,11919,12121,12370,12589,12833,13061,13291,13538,13763,14009,14247,14494,14724,14992,15251,15498,15710,15974,16231,16484,16727,17028,17313,17602,17907,18180,18499,18803,19136,19447,19784,20099,20445,20811,21184,21554,21958,22328,22702,23061,23470,23860,24275,24687,25121,25548,25986,26427,26890,27315,27746,28243,28708,29163,29601,30096,30653,31152,31702,32234,32773,33294,33850,34408,34949,35511,36035,36591,37135,37716,38344,38955,39569,40135,40721,41326,41918,42496,43161,43785,44404,45040,45727,46469,47171,47846,48577,49286,49984,50780,51512,52267,53049,53853,54661,55488,56285,57114,57944,58809,59708,60638,61530,62437,63335,64349,65310,66284,67209,68216,69190,70200,71262,72338,73380,74496,75535,76682,77763,78837,79970,81118,82295,83472,84673,85857,87137,88347,89668,90992,92299,93638,95017,96393,97806,99296,100727,102251,103856,105470,107057,108649,110262,111976,113726,115488,117272,118968,120790,122674,124479,126280,128219,130101,132032,133963,135929,137953,139941,141947,143992,146077,148216,150276,152485,154599,156772,159041,161313,163715,166086,168460,170880,173316,175785,178344,181005,183534,186071,188807,191561,194412,197212,199977,202776,205654,208511,211532,214514,217459,220491,223579,226794,229991,233163,236426,239796,243182,246573,250003,253596,257164,260778,264419,268028,271773,275632,279473,283285,287251,291192,295256,299372,303559,307678,311870,316047,320321,324609,328936,333157,337554,342021,346491,351033,355712,360405,365149,369844,374636,379569,384490,389497,394482,399645,404853,410095,415418,420820,426294,431892,437384,442986,448671,454529,460375,466185,472181,478236,484405,490572,496925,503276,509874,516510,523204,530051,536853,544001,551212,558401,565684,573068,580664,588474,596284,604110,612128,620326,628579,636775,645210,653602,662270,670895,679682,688409,697187,706354,715791
1,1,1,1,2,4,6,7,9,12,14,18,22,27,29,34,41,53,60,69,74,90,103,124,141,159,175,201,216,232,247,271,289,305,326,349,373,396,414,430,445,470,485,502,519,538,558,580,604,626,655,677,707,737,756,775,803,823,849,883,910,940,970,997,1021,1057,1094,1125,1157,1189,1224,1254,1293,1333,1368,1413,1456,1499,1538,1579,1620,1660,1698,1747,1781,1827,1870,1917,1975,2010,2061,2111,2167,2218,2276,2333,2379,2455,2509,2576,2648,2713,2776,2843,2918,2993,3068,3157,3225,3308,3384,3459,3536,3612,3678,3762,3842,3926,4015,4130,4228,4327,4433,4537,4627,4734,4821,4915,5034,5132,5250,5361,5473,5585,5712,5821,5956,6087,6220,6350,6493,6624,6758,6931,7103,7271,7424,7587,7766,7931,8078,8257,8408,8584,8736,8928,9112,9296,9474,9647,9807,9967,10145,10340,10547,10736,10950,11128,11319,11484,11652,11826,11995,12166,12344,12507,12689,12902,13080,13293,13495,13695,13899,14098,14325,14530,14750,14967,15198,15427,15672,15914,16181,16409,16665,16923,17165,17417,17675,17940,18239,18494,18751,19015,19289,19547,19820,20105,20389,20675,20969,21235,21511,21779,22065,22363,22684,22998,23294,23629,23988,24324,24694,25027,25370,25721,26122,26537,26905,27281,27699,28105,28521,28991,29433,29928,30409,30871,31376,31852,32330,32809,33261,33737,34216,34729,35236,35716,36224,36720,37193,37697,38189,38718,39235,39772,40313,40837,41399,41963,42517,43077,43667,44252,44908,45616,46263,46915,47589,48288,49061,49791,50484,51190,51944,52741,53491,54306,55124,55940,56849,57734,58668,59571,60551,61582,62540,63578,64613,65616,66623,67629,68670,69730,70831,71928,73056,74166,75242,76349,77525,78688,79810,81011,82191,83344,84518,85749,86943,88169,89395,90577,91806,93036,94368,95662,96964,98269,99626,101041,102444,103957,105396,106826,108269,109753,111215,112748,114313,115951,117580,119183,120770,122433,124119,125847,127530,129234,130948,132724,134452,136124,138035,139857,141626,143493,145352,147224,149109,151000,152928,154820,156726,158622,160525,162612,164652,166732,168862,170890,172874,174963,177118,179276,181484,183662,185842,188179,190521,192943,195317,197827,200334,202750,205262,207880,210479,213089,215863,218502,221218,223957,226733,229569,232429,235335,238250,241270,244278,247326,250516,253696,256826,260035,263314,266628,269843,273297,276853,280308,283749,287331,290936,294506,298175,301935,305749,309612,313520,317317,321358,325400,329535,333653,337844,342170,346399,350854,355355,359737,364352,368918,373553,378367,383102,387919,392825,397794,402902,408009,413312,418578,424018,429422,435087,440677,446405,452122,457937,463827,469790,475745,481872,488021,494414,500812,507405,514037,520853,527689,534466,541379,548358,555389,562610,569888,577154,584664,592366,600103,607757,615441,623261,631135,639266,647340,655636,663896,672328,680924,689694,698359,707185,716006,725103,734314,743757,753213,762783,772486,782375,792322,802460,812513,822930,833281,843817,854485,865214,876287,887461,898566,909859,921544,932991,944517,956372
1,1,1,1,1,4,7,8,9,9,10,10,12,14,15,17,19,26,30,33,46,53,60,66,74,85,91,98,105,112,123,131,142,149,153,162,172,179,188,201,208,218,226,235,245,254,262,266,274,279,285,290,300,310,317,322,337,342,350,358,363,369,375,384,390,401,418,423,439,457,469,481,494,509,518,533,550,567,589,614,632,667,697,733,765,795,821,846,874,907,947,992,1035,1081,1120,1159,1210,1253,1305,1358,1408,1464,1531,1610,1658,1722,1805,1897,1966,2029,2102,2185,2263,2336,2418,2526,2624,2704,2790,2874,2966,3043,3136,3234,3328,3420,3507,3590,3683,3752,3840,3931,4041,4139,4236,4326,4425,4528,4645,4757,4851,4973,5075,5210,5340,5472,5590,5729,5870,6012,6172,6310,6464,6637,6794,6947,7107,7278,7434,7582,7782,7970,8160,8354,8519,8676,8852,9024,9239,9442,9619,9815,9981,10147,10379,10581,10766,10982,11188,11371,11577,11784,12014,12241,12460,12699,12913,13141,13388,13614,13858,14087,14349,14620,14870,15129,15415,15672,15966,16262,16561,16847,17153,17442,17720,18041,18349,18682,18991,19302,19637,19939,20297,20685,21012,21363,21750,22111,22488,22851,23244,23638,24007,24382,24819,25209,25600,25990,26404,26820,27207,27639,28056,28490,28912,29351,29799,30240,30762,31244,31724,32207,32692,33192,33703,34228,34825,35389,35954,36526,37125,37700,38286,38896,39517,40156,40788,41459,42127,42789,43494,44185,44898,45552,46291,47027,47807,48554,49322,50128,50916,51720,52561,53413,54286,55174,56041,56892,57784,58658,59554,60409,61327,62258,63220,64279,65272,66259,67246,68286,69280,70326,71339,72406,73470,74594,75708,76855,78071,79272,80458,81701,82929,84215,85410,86711,88019,89473,90828,92235,93731,95188,96681,98193,99723,101281,102887,104420,106001,107639,109367,111075,112688,114364,116136,117874,119699,121597,123465,125248,127076,128986,130911,132837,134884,136854,138806,140903,142958,145164,147319,149539,151769,153930,156211,158483,160728,162934,165322,167788,170275,172809,175337,178009,180592,183259,185926,188631,191440,194290,197141,200034,202949,205924,209023,212169,215374,218572,221896,225034,228370,231756,235132,238546,242019,245509,249043,252680,256311,259925,263553,267332,271062,274798,278567,282549,286485,290455,294479,298604,302804,306983,311213,315676,320124,324627,329184,333733,338316,343038,347882,352700,357707,362683,367800,372940,378151,383337,388593,394068,399517,405056,410766,416391,422270,428274,434252,440283,446448,452663,458990,465361,471862,478472,485104,491780,498654,505522,512702,519884,527116,534600,542068,549613,557319,564981,572870,580795,588955,597164,605379,613746,622204,630560,639183,647968,656831,665838,674734,683791,693008,702349,711519,721123,730551,740151,749772,759726,769570,779760,789877,800191,810600,821036,831603,842127,852760,863724,874767,885947,897369,908712,920451,932129,943951,955897,967952,980156,992610,1004983,1017603,1030494,1043341,1056536,1069904,1083532,1097151,1111214,1125271,1139425,1153601,1168205,1182867,1197646,1212420,1227325,1242581
1,1,1,1,1,4,4,5,6,8,12,13,16,19,22,26,28,28,30,35,37,43,53,57,61,71,77,81,85,93,103,114,122,136,148,154,166,175,187,196,206,215,224,228,231,235,245,251,261,264,268,273,276,280,286,287,296,298,306,309,312,320,324,331,334,337,343,349,355,360,363,369,374,379,382,386,388,397,401,409,414,422,432,436,444,452,465,473,491,500,511,523,540,555,573,595,610,626,647,669,689,707,729,765,782,803,826,846,866,886,906,928,958,984,1002,1033,1052,1072,1097,1124,1146,1165,1183,1208,1233,1256,1276,1309,1331,1359,1390,1422,1452,1488,1523,1554,1587,1629,1673,1719,1775,1822,1871,1919,1976,2031,2089,2142,2201,2260,2320,2388,2459,2518,2579,2660,2732,2815,2911,3014,3098,3193,3284,3378,3473,3575,3670,3797,3914,4024,4150,4255,4375,4498,4631,4767,4913,5066,5199,5342,5480,5614,5755,5897,6056,6193,6352,6473,6617,6759,6923,7081,7246,7437,7606,7772,7970,8156,8352,8547,8756,8966,9168,9406,9629,9874,10079,10282,10484,10734,10952,11199,11438,11686,11936,12185,12421,12653,12908,13158,13409,13627,13898,14156,14453,14743,14990,15254,15539,15785,16074,16367,16624,16921,17227,17526,17850,18173,18532,18863,19218,19523,19864,20176,20515,20867,21207,21523,21881,22228,22568,22914,23302,23657,24025,24412,24846,25218,25580,25967,26366,26800,27214,27577,27964,28350,28798,29191,29580,29976,30406,30854,31284,31731,32177,32629,33045,33502,33945,34436,34924,35430,35935,36443,36948,37428,37951,38516,39089,39655,40268,40873,41470,42118,42752,43372,44002,44678,45324,45968,46601,47302,48006,48763,49489,50224,50943,51696,52469,53251,54005,54734,55514,56326,57146,57925,58765,59560,60385,61228,62061,62955,63792,64657,65580,66449,67435,68364,69297,70306,71265,72261,73216,74238,75291,76324,77417,78466,79491,80581,81666,82788,83852,84918,86007,87154,88226,89407,90557,91743,92874,94024,95238,96445,97698,98943,100178,101417,102684,103996,105337,106678,108005,109399,110814,112257,113674,115130,116604,118106,119607,121150,122756,124318,125964,127564,129172,130806,132551,134219,135979,137716,139489,141320,143084,144953,146763,148691,150500,152426,154402,156302,158254,160271,162311,164367,166387,168450,170551,172695,174855,177032,179321,181698,183910,186197,188614,190999,193546,196040,198519,201066,203635,206364,209050,211816,214545,217347,220217,223058,226011,228838,231825,234821,237867,240912,243923,247010,250271,253471,256754,260107,263446,266786,270254,273744,277254,280728,284320,287850,291510,295256,299020,302900,306801,310712,314678,318714,322709,326808,331059,335290,339623,344024,348386,352835,357322,361853,366428,371082,375918,380769,385552,390454,395331,400208,405367,410581,415833,421120,426591,431982,437487,443081,448737,454495,460359,466116,472093,478010,484018,490266,496609,502925,509364,515942,522594,529255,535979,542950,549892,557001,564075,571295,578611,585905,593380
1,1,1,4,4,6,9,9,10,12,16,19,21,23,27,32,32,37,44,51,55,60,66,71,78,86,89,100,108,118,129,138,154,165,182,188,205,222,237,250,263,276,284,297,321,331,350,367,385,399,418,440,459,474,488,505,522,544,566,580,604,626,645,666,684,713,738,769,806,841,866,888,923,959,1002,1045,1090,1137,1184,1228,1296,1351,1407,1463,1522,1586,1648,1711,1795,1852,1918,1986,2054,2130,2209,2278,2340,2399,2477,2542,2602,2668,2733,2788,2847,2896,2950,2989,3050,3114,3166,3231,3288,3351,3415,3479,3547,3596,3664,3720,3796,3861,3933,4003,4074,4155,4253,4326,4423,4497,4594,4680,4755,4845,4945,5035,5125,5234,5349,5455,5563,5678,5800,5901,6017,6139,6241,6356,6463,6580,6709,6817,6950,7082,7204,7317,7429,7553,7708,7853,7983,8140,8265,8387,8510,8654,8827,8988,9151,9283,9438,9594,9741,9900,10053,10201,10358,10524,10678,10859,11020,11159,11312,11483,11645,11810,11971,12124,12276,12446,12621,12797,12960,13127,13290,13449,13607,13759,13926,14087,14252,14432,14587,14781,14949,15126,15292,15484,15675,15858,16061,16260,16449,16663,16880,17093,17331,17555,17800,18007,18236,18468,18699,18941,19205,19437,19702,19973,20219,20453,20696,20966,21222,21470,21739,22024,22291,22523,22783,23048,23314,23609,23886,24177,24457,24786,25071,25349,25625,25920,26173,26457,26716,26982,27271,27576,27885,28217,28567,28869,29169,29493,29820,30170,30502,30819,31202,31562,31901,32341,32744,33121,33515,33924,34333,34795,35206,35618,36066,36545,36984,37466,37926,38414,38941,39481,40038,40541,41068,41632,42137,42723,43264,43828,44403,45012,45598,46200,46837,47520,48156,48804,49427,50085,50711,51387,52042,52731,53503,54226,54950,55685,56434,57243,58001,58783,59576,60391,61290,62175,63071,63957,64812,65727,66652,67548,68473,69411,70289,71216,72192,73158,74056,75004,76010,77005,77958,78990,80035,81056,82090,83164,84326,85530,86700,87932,89111,90330,91557,92872,94202,95523,96868,98220,99624,101009,102381,103807,105298,106819,108349,109903,111388,112956,114604,116260,117938,119545,121249,123010,124684,126436,128219,130034,131941,133800,135736,137766,139815,141824,143917,146054,148134,150335,152661,154994,157285,159668,162067,164432,166909,169389,171973,174482,177073,179674,182454,185128,187958,190822,193725,196674,199583,202526,205563,208611,211728,214784,217977,221156,224330,227633,230949,234360,237931,241551,245155,248888,252790,256542,260342,264303,268276,272398,276619,280784,285107,289508,293934,298381,302900,307454,312126,316868,321612,326412,331322,336271,341351,346629,351838,357085,362383,367746,373180,378791,384599,390288,396132,402031,408019,414025,420112,426302,432709,439266,445783,452334,458932,465654,472503,479499,486498,493635,500863,508179,515736,523324,530942,538758,546648,554590,562590,570754,579080,587472,595924,604500,613005,621820,630759,639727,648851,658055,667317,676912,686477,696054,705714,715435,725275,735294,745398,755656,765941,776315,787009
1,1,1,1,1,3,5,6,6,7,7,8,9,9,10,14,15,15,15,15,18,21,24,25,31,35,41,49,52,61,72,78,91,97,114,126,141,158,171,192,205,227,246,268,292,320,340,365,388,410,443,473,486,509,531,559,587,622,655,686,708,739,772,813,846,886,920,960,1000,1061,1099,1143,1198,1239,1283,1336,1393,1449,1503,1558,1617,1674,1732,1820,1889,1956,2022,2081,2153,2223,2293,2359,2443,2509,2588,2677,2751,2823,2926,3002,3103,3197,3291,3382,3482,3571,3674,3761,3869,3975,4103,4212,4324,4447,4560,4692,4826,4936,5108,5254,5397,5573,5728,5891,6075,6277,6475,6681,6884,7072,7268,7466,7678,7897,8113,8331,8523,8738,8965,9193,9416,9666,9905,10155,10423,10678,10937,11187,11458,11720,11972,12262,12531,12791,13061,13343,13649,13938,14244,14574,14905,15234,15604,15951,16289,16653,17010,17379,17751,18114,18478,18863,19284,19680,20076,20493,20889,21282,21730,22204,22663,23146,23635,24076,24525,24962,25410,25860,26355,26819,27317,27809,28359,28875,29382,29882,30362,30877,31394,31898,32428,32973,33563,34148,34678,35271,35861,36482,37095,37710,38354,38959,39611,40201,40845,41508,42129,42804,43482,44182,44904,45645,46391,47124,47855,48571,49321,50065,50861,51643,52441,53232,54022,54846,55655,56484,57315,58168,59019,59921,60849,61790,62695,63601,64517,65493,66434,67430,68340,69318,70353,71376,72440,73475,74524,75622,76713,77816,78925,80095,81236,82373,83648,84805,85998,87221,88488,89709,90937,92230,93505,94814,96226,97644,99055,100475,101903,103390,104897,106436,108020,109560,111135,112689,114320,115986,117563,119181,120883,122615,124440,126167,127970,129780,131709,133609,135596,137461,139440,141446,143517,145580,147737,149914,152037,154221,156472,158746,160964,163405,165797,168197,170642,173153,175793,178477,181075,183808,186555,189303,192078,194936,197771,200629,203681,206733,209663,212767,215862,219077,222175,225346,228547,231879,235251,238556,241975,245398,248928,252461,255972,259628,263361,267106,270906,274666,278460,282226,286086,290014,294097,298169,302363,306360,310529,314797,319096,323279,327645,332056,336456,340985,345399,350003,354586,359253,364060,368878,373783,378623,383675,388727,393791,398994,404110,409446,414772,420215,425769,431276,437072,442781,448686,454577,460530,466698,472767,478965,485327,491714,498373,504910,511713,518465,525375,532200,539201,546434,553562,560907,568223,575710,583285,590886,598876,606941,615162,623267,631638,640060,648286,656712,665432,674221,682907,691820,700744,709860,719069,728251,737377,746813,756239,765890,775736,785570,795606,805728,815891,825976,836398,847135,857889,868658,879760,890799,902021,913406,924880,936235,947793,959504,971255,983340,995798,1008315,1020766,1033625,1046248,1059265,1072082,1085215,1098644,1112079,1125631,1139261,1153062,1167066,1181375,1195524,1210026,1224652,1239405,1254477,1269526,1284794,1300317,1315952,1331725,1347864,1364059,1380474,1396779,1413369,1430268,1447080,1464425,1481802,1499416,1517179,1535390,1553651,1571622,1589993,1608855,1627694,1646735,1665921,1685502,1705114,1724965,1744898,1765741,1786339,1807032,1827825,1848864
1,1,2,3,4,4,5,5,5,6,6,6,6,7,8,10,13,20,21,23,24,24,24,26,28,39,46,50,52,61,68,77,84,92,98,104,106,115,124,135,148,153,166,180,191,200,211,219,225,228,233,236,242,258,272,284,294,309,321,338,353,362,381,400,414,429,444,460,479,499,513,543,569,592,610,630,655,676,695,710,734,759,776,798,815,835,849,869,884,898,914,941,959,983,1005,1022,1049,1075,1099,1119,1142,1164,1188,1216,1240,1268,1304,1332,1369,1408,1452,1502,1548,1603,1648,1694,1751,1800,1861,1925,1984,2038,2110,2174,2234,2292,2363,2421,2485,2552,2616,2681,2758,2825,2884,2963,3032,3100,3162,3248,3319,3394,3458,3522,3609,3686,3762,3821,3890,3960,4030,4119,4202,4270,4362,4439,4532,4639,4730,4825,4917,5023,5133,5244,5372,5498,5609,5702,5816,5939,6062,6182,6319,6463,6627,6765,6888,7050,7205,7367,7531,7696,7849,8008,8178,8352,8486,8635,8792,8955,9115,9292,9450,9620,9785,9946,10107,10267,10419,10597,10766,10947,11152,11329,11512,11688,11876,12065,12233,12415,12612,12822,13031,13247,13477,13705,13924,14137,14359,14610,14869,15104,15384,15645,15929,16229,16499,16800,17104,17400,17730,18050,18389,18764,19109,19472,19833,20221,20630,21024,21427,21816,22249,22690,23095,23514,23942,24360,24801,25279,25690,26139,26575,27009,27501,27981,28447,28897,29378,29832,30328,30846,31347,31882,32411,32929,33435,33966,34483,34995,35555,36113,36694,37313,37908,38537,39166,39749,40382,40989,41584,42241,42919,43567,44258,44966,45709,46407,47108,47836,48560,49349,50073,50843,51609,52454,53258,54081,54912,55725,56517,57360,58212,59039,59854,60725,61610,62508,63379,64301,65198,66112,67016,67945,68916,69884,70931,71883,72837,73877,74896,75954,77056,78135,79211,80303,81396,82500,83645,84775,85911,87131,88297,89431,90675,91938,93188,94457,95714,96922,98263,99582,100893,102311,103689,105092,106553,107975,109412,110905,112426,113958,115490,117141,118768,120442,122153,123889,125643,127478,129249,131134,133089,134976,136991,139021,141105,143200,145347,147445,149684,151941,154147,156343,158660,161123,163495,165857,168370,170874,173426,175987,178651,181292,184020,186706,189537,192418,195401,198314,201300,204214,207268,210385,213547,216576,219784,223050,226293,229540,232832,236156,239608,242956,246510,249998,253695,257338,261138,264894,268673,272566,276550,280504,284374,288417,292410,296519,300700,304937,309331,313711,318143,322705,327320,332091,336822,341834,346756,351712,356748,361762,366987,372359,377734,383209,388692,394303,399964,405466,411313,417275,423222,429225,435263,441271,447439,453643,459960,466496,472979,479532,486276,492931,499700,506653,513576,520751,527943,535177,542628,549964,557430,565043,572675,580486,588205,596204,604423,612742,621231,629861,638351,647222,656220,665123,674051,683291,692582,701893,711524,721142,730728,740678,750610,760639,770688,780964,791366,802097,812651,823540,834494,845654,856747,867824,879412
1,1,1,1,2,3,5,7,9,11,11,11,11,12,14,17,17,21,23,24,24,29,31,32,33,37,41,44,47,53,60,67,75,83,86,97,109,117,125,132,148,159,172,192,203,217,233,247,261,271,281,292,301,307,314,322,327,334,343,356,365,370,374,382,389,397,406,411,416,429,443,457,472,489,504,524,540,558,583,602,618,632,654,681,713,730,754,777,816,851,871,896,924,949,971,992,1020,1054,1086,1106,1141,1166,1191,1215,1239,1263,1288,1317,1344,1379,1417,1441,1467,1498,1533,1569,1595,1620,1642,1669,1686,1722,1746,1768,1794,1829,1858,1894,1928,1967,2005,2042,2083,2120,2157,2181,2221,2262,2305,2343,2380,2415,2452,2481,2524,2559,2602,2649,2696,2738,2782,2823,2865,2912,2957,3002,3043,3093,3143,3189,3235,3287,3338,3375,3430,3488,3551,3617,3681,3740,3810,3869,3934,3997,4049,4120,4189,4273,4345,4432,4507,4575,4650,4733,4814,4896,4994,5111,5192,5299,5386,5480,5585,5694,5810,5929,6073,6195,6335,6442,6555,6690,6838,6968,7090,7232,7399,7559,7708,7848,8013,8183,8373,8531,8695,8854,9029,9199,9363,9521,9689,9876,10058,10219,10406,10600,10781,10964,11135,11308,11514,11713,11927,12166,12383,12612,12832,13077,13330,13575,13838,14078,14313,14552,14874,15147,15411,15698,15973,16260,16552,16820,17115,17408,17732,18053,18363,18704,19026,19352,19706,20072,20425,20792,21143,21553,21950,22333,22742,23152,23591,24027,24450,24897,25378,25851,26333,26818,27297,27842,28373,28877,29359,29876,30432,30967,31520,32122,32702,33302,33930,34555,35228,35913,36604,37330,37976,38712,39450,40208,41020,41813,42586,43405,44227,45044,45889,46684,47555,48450,49297,50151,51015,51865,52768,53684,54599,55578,56542,57523,58514,59481,60470,61440,62483,63562,64638,65764,66851,67947,69135,70365,71563,72755,73943,75186,76484,77795,79157,80534,81909,83316,84738,86147,87619,89101,90641,92186,93766,95389,96930,98608,100321,102005,103827,105557,107354,109213,111002,112854,114755,116618,118563,120496,122412,124351,126341,128208,130192,132172,134156,136223,138354,140426,142512,144769,146989,149250,151567,153828,156158,158483,160843,163423,165906,168368,170847,173368,175941,178534,181228,183931,186695,189463,192231,195063,197917,200732,203704,206790,209882,212877,216063,219177,222381,225568,228896,232258,235656,239192,242741,246337,249987,253567,257195,260875,264590,268357,272306,276190,280270,284344,288439,292496,296652,300819,304984,309252,313610,318035,322574,327245,331965,336710,341414,346080,350971,355699,360572,365753,371008,376096,381153,386351,391566,396808,402311,407678,413099,418448,423995,429693,435362,440994,446723,452647,458633,464669,470823,476974,483172,489573,495995,502580,509208,516090,522992,529825,536831,543891,551108,558476,565811,573322,580866,588585,596240,604052,611932,619924,627944,636261,644715,653266,661711,670412,679127,687914,696960,706025,715131,724581,734267,744055,753888,763942,773872
1,1,1,1,1,1,1,1,4,7,9,11,11,12,17,21,27,27,32,34,39,47,62,70,75,81,94,102,113,118,126,134,149,162,171,178,187,199,212,219,230,235,244,262,270,278,292,299,306,317,327,349,359,374,396,419,437,455,473,492,516,533,551,575,592,628,664,699,741,773,802,826,850,889,935,968,1010,1044,1082,1124,1173,1225,1290,1353,1399,1457,1507,1555,1618,1671,1749,1804,1876,1934,2002,2064,2135,2215,2283,2366,2432,2510,2582,2648,2732,2807,2902,2989,3071,3140,3227,3307,3394,3471,3544,3624,3695,3758,3826,3900,3973,4051,4122,4205,4268,4335,4405,4456,4524,4586,4646,4716,4776,4834,4898,4965,5028,5098,5168,5237,5313,5385,5460,5532,5616,5697,5790,5866,5956,6044,6141,6245,6358,6457,6559,6651,6767,6879,6997,7089,7204,7344,7457,7570,7714,7847,7984,8112,8232,8357,8473,8618,8765,8908,9030,9184,9333,9465,9601,9716,9869,10010,10162,10295,10424,10559,10694,10843,10991,11135,11296,11458,11614,11773,11940,12100,12272,12451,12625,12803,12979,13147,13319,13494,13698,13913,14129,14349,14543,14733,14955,15182,15416,15655,15858,16054,16310,16537,16769,17033,17269,17513,17774,18034,18275,18534,18768,19061,19325,19617,19883,20169,20431,20687,20994,21282,21541,21860,22169,22472,22812,23138,23492,23837,24153,24492,24834,25168,25531,25875,26207,26610,27012,27391,27767,28163,28542,28932,29367,29773,30201,30656,31112,31528,31996,32485,32947,33447,33915,34410,34901,35406,35960,36448,36969,37501,38033,38604,39172,39706,40266,40864,41450,42048,42572,43173,43759,44286,44860,45455,45988,46579,47166,47755,48352,48979,49580,50137,50758,51343,51894,52490,53089,53686,54302,54948,55540,56164,56870,57528,58215,58951,59691,60469,61182,61925,62718,63445,64211,64982,65788,66598,67433,68194,69015,69875,70698,71566,72463,73321,74205,75146,76103,77027,77957,78866,79852,80854,81856,82907,83940,84978,85998,87119,88254,89336,90557,91833,93027,94289,95566,96834,98089,99368,100709,102127,103492,104998,106487,108032,109537,111069,112567,114155,115715,117336,118996,120606,122275,123896,125535,127277,129047,130791,132642,134413,136150,138001,139858,141765,143687,145649,147520,149475,151540,153509,155487,157472,159636,161780,163825,166018,168294,170496,172701,174928,177237,179557,181869,184271,186724,189247,191804,194435,196984,199722,202457,205108,207810,210614,213438,216382,219316,222229,225224,228334,231451,234485,237689,240915,244206,247532,251016,254366,257865,261329,264998,268692,272362,276111,279952,283835,287694,291654,295615,299619,303685,307934,312190,316388,320823,325149,329561,334072,338626,343193,347967,352789,357686,362570,367488,372521,377653,382786,388081,393386,398795,404173,409736,415376,420987,426761,432493,438328,444269,450268,456263,462422,468504,474804,481148,487597,494007,500519,507192,513796,520572,527407,534429,541483,548539,555765,563036,570257,577795,585143,592685,600250,607933,615761,623765,631715,639784,647902,656240,664518,672905
1,1,1,1,1,1,1,1,2,2,3,5,5,6,7,9,10,14,15,17,17,18,21,27,29,35,40,48,52,57,65,77,81,85,94,102,110,116,124,131,139,144,156,164,171,181,194,200,208,223,242,257,271,281,290,301,308,320,329,343,359,384,406,425,438,459,477,493,521,545,564,590,626,667,705,735,754,781,815,854,892,928,964,986,1026,1065,1106,1135,1171,1208,1252,1280,1312,1349,1380,1421,1467,1496,1521,1555,1585,1615,1649,1683,1726,1751,1788,1826,1863,1905,1937,1962,2005,2050,2103,2157,2206,2255,2319,2376,2435,2497,2558,2615,2680,2731,2796,2838,2892,2959,3008,3063,3120,3178,3243,3310,3385,3447,3521,3597,3673,3756,3833,3909,3984,4075,4184,4295,4415,4515,4628,4736,4862,4970,5085,5211,5349,5465,5594,5735,5836,5953,6069,6201,6312,6460,6591,6700,6827,6976,7108,7242,7387,7509,7637,7793,7952,8105,8272,8415,8547,8703,8847,8981,9120,9250,9399,9532,9681,9823,9963,10109,10247,10389,10533,10677,10839,10994,11160,11312,11444,11583,11736,11885,12048,12186,12344,12510,12650,12814,12989,13169,13385,13582,13777,13976,14181,14374,14565,14779,14979,15207,15430,15657,15865,16114,16326,16563,16794,17030,17251,17487,17725,17970,18194,18431,18664,18914,19137,19392,19656,19923,20201,20471,20757,21055,21329,21616,21945,22228,22526,22847,23190,23562,23912,24260,24628,25037,25405,25804,26212,26631,27003,27454,27886,28258,28698,29104,29543,29998,30424,30833,31264,31654,32071,32497,32900,33364,33838,34262,34699,35169,35596,36094,36575,37066,37565,38010,38517,39011,39546,40071,40586,41127,41641,42233,42770,43326,43873,44433,45064,45684,46309,46949,47610,48255,48910,49596,50225,50868,51539,52228,52881,53552,54206,54881,55540,56229,56943,57676,58439,59163,59973,60747,61526,62337,63139,63927,64739,65598,66458,67364,68340,69340,70282,71313,72324,73325,74295,75323,76335,77374,78477,79530,80722,81797,82920,84033,85138,86290,87422,88596,89754,90958,92227,93499,94693,95916,97235,98486,99793,101049,102419,103769,105189,106673,108148,109587,111082,112541,114087,115710,117294,118831,120351,122063,123633,125297,127020,128707,130492,132268,134118,135913,137791,139654,141581,143504,145434,147350,149381,151284,153270,155280,157338,159424,161491,163692,165864,168059,170264,172472,174661,176923,179192,181600,183948,186461,188946,191504,194125,196707,199369,201926,204567,207348,210195,213096,215943,218898,221922,224923,227855,231037,234196,237245,240393,243624,246802,250088,253411,256831,260344,263747,267221,270780,274487,278131,281870,285678,289408,293240,297179,300977,304964,308885,313059,317200,321511,325712,330031,334388,338747,343406,347922,352569,357326,362121,366896,371848,376878,382019,387318,392532,398037,403463,409026,414686,420355,426208,432104,438067,444165,450210,456434,462650,468815,475223,481575,488113,494762,501540,508468,515537,522590,529571,536839,544026,551417,558999,566480,573973,581421,589120,596950,604783,612722
1,1,3,4,6,6,7,11,13,18,19,23,24,28,33,39,47,61,68,77,86,91,99,109,117,125,143,158,164,177,192,201,218,231,244,259,281,289,312,329,346,363,384,396,414,438,465,498,528,552,573,599,629,663,697,730,751,774,800,825,859,884,914,946,966,988,1016,1035,1065,1092,1121,1161,1189,1221,1254,1286,1310,1356,1384,1430,1461,1493,1542,1588,1629,1694,1748,1802,1865,1917,1995,2057,2121,2188,2258,2326,2400,2483,2561,2639,2727,2794,2875,2948,3032,3107,3207,3307,3383,3462,3552,3636,3730,3820,3908,3999,4087,4190,4287,4390,4496,4591,4678,4792,4910,5018,5143,5272,5376,5508,5656,5784,5911,6040,6194,6338,6514,6670,6824,6993,7148,7289,7443,7586,7760,7918,8080,8284,8450,8640,8821,9005,9198,9381,9600,9829,10064,10272,10508,10716,10925,11148,11378,11602,11814,12078,12312,12539,12764,13021,13271,13524,13768,13994,14227,14448,14683,14932,15213,15453,15693,15958,16202,16452,16703,16959,17204,17478,17744,18000,18235,18513,18796,19071,19321,19605,19852,20128,20418,20709,21007,21299,21597,21925,22262,22564,22874,23183,23533,23884,24270,24614,24976,25376,25773,26147,26547,26950,27358,27813,28220,28646,29082,29544,29976,30386,30805,31274,31748,32182,32655,33173,33670,34168,34662,35216,35772,36277,36821,37377,37920,38451,38990,39575,40129,40707,41346,41996,42616,43212,43808,44442,45088,45772,46456,47161,47807,48519,49242,50016,50742,51432,52216,53023,53873,54723,55554,56385,57273,58156,59066,60044,60876,61773,62726,63634,64605,65627,66608,67630,68593,69679,70738,71835,72961,74042,75171,76235,77342,78428,79607,80725,81901,83006,84177,85341,86541,87745,88963,90191,91405,92630,93923,95153,96427,97723,99084,100436,101841,103219,104668,105971,107366,108746,110222,111600,113029,114483,115920,117406,118943,120471,122092,123690,125265,126964,128579,130290,131964,133715,135482,137251,138979,140921,142782,144596,146531,148532,150513,152529,154567,156622,158706,160719,162800,164949,167096,169271,171487,173727,176055,178493,180894,183261,185730,188198,190814,193268,195701,198392,201022,203677,206253,208940,211655,214376,217240,220061,222924,225875,228720,231721,234645,237717,240858,243935,247128,250425,253659,256867,260033,263415,266766,270186,273561,277146,280764,284297,287819,291437,295050,298798,302548,306392,310358,314261,318191,322279,326344,330425,334642,338780,343162,347528,351985,356442,361040,365566,370239,374924,379681,384517,389439,394502,399609,404643,409903,414985,420329,425855,431237,436765,442582,448338,454263,460173,466113,472100,478280,484434,490648,496959,503352,509961,516521,523292,530064,537058,543971,550891,558107,565283,572643,579984,587537,595020,602623,610332,618072,626074,634192,642292,650541,659083,667662,676341,685150,693853,702709,711497,720711,730039,739421,749102,758831,768736,778486,788515,798710,808891,819308,829669,840262,850994,861892,872952,883983,894990,906491,918011,929528,941153,952999,964863,977126,989545,1001961,1014581,1027223,1039977,1053125,1066229,1079518,1092809,1106204,1119933,1133624
1,1,1,1,3,4,5,7,9,10,12,15,16,17,19,21,27,32,43,49,53,59,72,78,94,103,110,118,128,136,150,160,173,181,196,204,212,219,226,234,245,248,256,263,270,273,277,285,292,306,324,336,351,367,379,395,409,430,443,458,469,490,509,534,545,559,575,592,606,620,634,650,658,680,696,718,733,750,769,788,810,827,850,874,908,939,955,980,1006,1036,1065,1087,1122,1146,1182,1218,1249,1282,1313,1353,1393,1424,1474,1507,1552,1597,1639,1680,1721,1762,1802,1861,1902,1950,1996,2058,2122,2180,2241,2299,2355,2423,2470,2540,2610,2673,2746,2820,2896,2962,3038,3107,3189,3276,3357,3457,3547,3645,3762,3861,3982,4074,4185,4297,4395,4494,4613,4723,4849,4962,5090,5209,5321,5450,5576,5712,5863,5996,6142,6287,6416,6576,6741,6911,7090,7298,7477,7648,7812,8002,8200,8385,8573,8773,9002,9215,9421,9631,9840,10043,10264,10500,10723,10946,11181,11385,11579,11784,12018,12267,12482,12712,12963,13208,13434,13642,13859,14080,14325,14574,14830,15060,15307,15542,15764,15989,16257,16497,16806,17112,17429,17701,18016,18337,18654,18977,19294,19617,19986,20352,20724,21084,21493,21906,22361,22783,23238,23643,24045,24455,24883,25339,25815,26245,26651,27097,27574,28035,28550,29010,29482,29966,30502,31012,31527,32067,32607,33171,33705,34243,34804,35389,35946,36559,37155,37725,38357,38960,39518,40138,40800,41387,41964,42566,43192,43796,44428,45041,45698,46332,47001,47721,48399,49117,49825,50569,51318,52107,52857,53638,54385,55167,56013,56883,57715,58626,59524,60416,61311,62229,63191,64192,65242,66220,67211,68265,69263,70314,71416,72512,73594,74660,75832,76936,78134,79323,80510,81740,82942,84151,85370,86583,87839,89132,90465,91849,93162,94545,95904,97305,98820,100237,101774,103248,104702,106283,107886,109625,111233,113001,114773,116458,118247,120059,121928,123838,125763,127724,129727,131730,133703,135800,137892,140057,142254,144493,146710,149122,151523,153920,156352,158835,161353,163869,166466,169096,171812,174514,177338,180200,183125,186035,189003,192064,195062,198172,201328,204439,207690,210969,214189,217559,220874,224392,227765,231352,234837,238367,242044,245719,249376,253051,256837,260738,264553,268410,272393,276307,280295,284352,288397,292614,297021,301298,305566,309976,314355,318821,323361,327949,332667,337440,342267,347069,352001,357053,362171,367337,372486,377959,383283,388745,394217,399734,405355,410982,416773,422598,428488,434411,440408,446669,452947,459292,465701,472132,478634,485222,491837,498600,505473,512398,519469,526468,533793,540951,548291,555662,563131,570764,578599,586283,593886,601908,609896,618077,626239,634381,642688,651118,659562,668132,676707,685633,694682,703905,712987,722312,731838,741502,751314,761216,771184,781289,791544,802071,812702,823545,834653,845801,857251,868748,880364,892214,904095,916030,928387,940775,953384,966031,978845,991716,1004825,1018086,1031421,1044996,1058796,1072491,1086438,1100254,1114535,1128808,1143007,1157931,1172661,1187734,1202862
1,1,1,1,2,2,5,8,10,11,12,12,14,17,25,26,34,37,40,45,48,56,61,65,69,76,79,89,94,109,110,118,120,130,137,145,148,158,164,176,182,185,190,210,218,225,230,239,254,268,282,289,300,317,333,349,366,382,406,413,428,450,465,487,513,540,566,601,624,640,667,695,721,746,781,806,826,854,879,910,942,967,1007,1048,1093,1134,1175,1209,1257,1309,1352,1388,1436,1488,1553,1607,1666,1735,1785,1860,1911,1989,2063,2148,2247,2354,2475,2582,2709,2836,2971,3110,3250,3385,3503,3640,3775,3931,4067,4245,4436,4591,4755,4924,5076,5243,5412,5598,5777,5966,6181,6369,6536,6727,6926,7102,7273,7476,7699,7927,8124,8334,8546,8770,8977,9207,9423,9648,9896,10109,10356,10601,10847,11103,11339,11592,11871,12152,12429,12738,13005,13320,13619,13887,14193,14526,14858,15181,15524,15827,16157,16525,16880,17232,17610,18001,18365,18740,19148,19543,19917,20322,20755,21184,21591,22035,22490,23001,23495,23947,24496,25018,25530,26041,26579,27160,27764,28338,28925,29563,30200,30836,31457,32064,32708,33346,33953,34609,35228,35856,36486,37120,37761,38368,38956,39608,40281,40912,41530,42154,42849,43509,44190,44797,45483,46178,46865,47568,48328,49083,49877,50704,51485,52265,53075,53915,54771,55613,56468,57292,58219,59131,60110,61075,62076,63048,64102,65166,66196,67270,68338,69489,70589,71746,72872,74083,75296,76481,77708,79012,80289,81586,82954,84347,85704,87020,88411,89757,91136,92582,94088,95481,96991,98474,99986,101516,103053,104530,106142,107832,109514,111206,112859,114630,116372,118139,119892,121669,123523,125382,127256,129217,131141,133162,135167,137193,139249,141238,143240,145410,147527,149676,151834,154044,156325,158623,160928,163183,165516,167962,170375,172857,175253,177775,180247,182840,185416,187981,190614,193269,195957,198639,201359,204067,206944,209791,212752,215748,218635,221698,224763,227916,231016,234139,237393,240663,244051,247442,250795,254195,257709,261177,264726,268345,272063,275721,279466,283429,287348,291365,295479,299573,303718,308111,312554,316979,321550,325961,330496,335227,340062,344842,349694,354633,359629,364599,369768,375196,380536,385926,391509,397014,402697,408469,414324,420096,425938,432082,438177,444257,450283,456402,462656,469094,475429,481850,488380,494824,501333,508048,514885,521859,528919,535938,543129,550431,557958,565473,573082,580860,588569,596411,604550,612804,620998,629323,637748,646296,654879,663453,672194,681109,690174,699322,708596,717970,727523,737227,746807,756534,766342,776218,786287,796611,807025,817593,828393,839139,849870,860858,871851,882995,894285,905716,917565,929315,941054,953026,965029,977466,989832,1002456,1015017,1027753,1040589,1053566,1066888,1080233,1093432,1107007,1120791,1134796,1148972,1163308,1177511,1192144,1206816,1221741,1236822,1252129,1267207,1282727,1298450,1314514,1330679,1347011,1363501,1380261,1397334,1414413,1431543,1449359,1467193,1485039,1502977,1521115,1539474,1558216,1577073,1596142,1615404,1634752,1654247,1674121,1694095,1714352,1734837,1755508,1776347,1797429,1818447,1839711,1861292,1883016,1904836,1926944,1949252
1,1,3,3,5,6,10,10,16,18,24,29,30,35,41,45,53,67,78,84,91,97,107,112,126,134,148,155,166,182,190,202,213,217,228,239,244,250,256,268,284,289,295,307,316,330,341,349,360,371,385,395,406,418,432,452,467,477,492,504,524,539,555,579,602,636,659,688,723,768,801,832,872,905,943,977,1016,1051,1089,1132,1175,1216,1256,1297,1332,1370,1406,1458,1503,1555,1604,1656,1697,1746,1791,1850,1903,1954,2018,2085,2150,2203,2272,2327,2395,2451,2497,2572,2642,2720,2790,2846,2918,2981,3041,3100,3164,3235,3296,3359,3445,3502,3581,3645,3732,3819,3907,3990,4084,4167,4258,4350,4443,4542,4648,4725,4818,4933,5035,5144,5252,5362,5471,5589,5706,5835,5964,6065,6177,6323,6460,6609,6748,6885,7025,7152,7279,7402,7533,7672,7847,8033,8224,8394,8576,8760,8939,9154,9354,9590,9816,10049,10268,10508,10742,10986,11264,11500,11725,11957,12224,12456,12722,12979,13240,13504,13767,14037,14301,14578,14828,15094,15405,15719,16003,16289,16562,16874,17171,17518,17804,18125,18479,18800,19133,19443,19808,20161,20526,20856,21237,21600,21954,22309,22700,23081,23510,23896,24314,24701,25095,25556,26040,26464,26917,27390,27833,28339,28802,29313,29828,30344,30875,31422,31927,32517,33065,33652,34248,34807,35380,35966,36551,37174,37827,38504,39175,39818,40518,41230,41935,42635,43317,44060,44792,45509,46309,47036,47753,48518,49283,50042,50845,51598,52410,53227,54003,54788,55635,56478,57348,58221,59093,59946,60832,61708,62583,63526,64455,65428,66372,67382,68385,69464,70531,71633,72714,73831,74958,76093,77216,78489,79731,80984,82202,83524,84724,86050,87319,88669,90050,91385,92747,94125,95537,96985,98428,99863,101269,102700,104222,105759,107265,108832,110439,112071,113683,115260,116969,118746,120495,122184,123866,125652,127416,129205,130980,132855,134632,136484,138374,140343,142355,144371,146431,148584,150700,152868,155027,157276,159603,161941,164273,166774,169284,171704,174300,177005,179729,182406,185178,187960,190735,193655,196676,199603,202553,205598,208657,211844,215048,218183,221483,224788,228180,231547,234948,238467,242044,245641,249260,252854,256570,260355,264267,268120,272161,276310,280364,284377,288541,292767,297157,301560,305972,310432,314974,319586,324220,329064,333830,338657,343672,348671,353813,359006,364031,369145,374405,379770,385097,390607,396251,401839,407437,413273,419030,424892,430776,436699,442677,448794,454880,461182,467649,474215,480777,487398,494041,500631,507429,514284,521267,528300,535456,542690,549775,557280,564698,572372,580022,587726,595745,603757,611627,619881,628127,636316,644817,653503,662396,671234,680184,689175,698280,707322,716782,726340,735966,745777,755576,765488,775600,785681,795875,806373,816965,827640,838380,849261,860434,871543,882916,894468,906121,917815,929692,941594,953680,965973,978582,991063,1003627,1016437,1029497,1042660,1056020,1069229,1082830,1096854,1110676,1124829,1138862,1153307,1167815,1182635,1197598,1212342,1227133,1242164,1257500,1272880,1288586,1304199,1319855,1335623,1351598
1,1,3,3,3,4,9,13,14,21,22,26,34,46,50,56,62,71,83,91,98,104,113,130,140,152,159,165,173,178,204,209,221,231,240,250,261,278,291,311,328,348,371,402,423,451,472,505,537,574,602,639,660,698,739,778,807,841,877,898,948,987,1026,1058,1100,1138,1185,1244,1290,1329,1368,1411,1445,1501,1545,1590,1636,1678,1733,1779,1824,1885,1933,1984,2023,2084,2142,2206,2257,2316,2365,2434,2509,2574,2645,2706,2774,2833,2888,2956,3019,3075,3137,3208,3295,3366,3447,3509,3581,3648,3729,3816,3889,3964,4030,4107,4203,4284,4354,4444,4541,4629,4699,4781,4863,4957,5041,5129,5207,5305,5395,5497,5591,5682,5792,5914,6005,6115,6201,6325,6427,6553,6674,6787,6920,7041,7186,7315,7434,7586,7734,7857,8018,8143,8296,8451,8602,8772,8908,9052,9203,9377,9555,9718,9891,10086,10293,10476,10643,10831,11056,11259,11484,11743,11942,12140,12339,12550,12751,12966,13173,13396,13591,13832,14029,14248,14489,14703,14923,15150,15389,15658,15918,16178,16427,16702,16972,17197,17467,17746,18002,18288,18561,18832,19115,19396,19666,19980,20265,20545,20832,21126,21391,21724,22007,22316,22605,22909,23221,23540,23912,24238,24566,24907,25240,25605,25985,26341,26705,27113,27484,27899,28284,28678,29115,29532,29910,30332,30764,31224,31716,32182,32661,33106,33580,34066,34591,35100,35599,36150,36669,37207,37781,38343,38858,39417,39966,40542,41111,41697,42262,42877,43473,44118,44779,45418,46052,46707,47438,48077,48767,49475,50202,50912,51684,52452,53182,53947,54756,55524,56286,57026,57819,58608,59368,60202,61063,61935,62837,63722,64612,65574,66527,67506,68475,69470,70523,71545,72571,73576,74671,75692,76735,77876,78989,80174,81339,82524,83739,84988,86231,87512,88732,89949,91276,92607,93900,95286,96652,98024,99414,100873,102226,103627,105093,106548,107973,109445,110930,112478,114028,115584,117179,118792,120467,122111,123756,125517,127212,128902,130637,132394,134227,136083,137954,139822,141792,143872,145938,148049,150059,152201,154242,156497,158671,160823,163076,165455,167852,170110,172532,174940,177390,179896,182521,185097,187784,190456,193302,196105,198876,201678,204628,207498,210507,213605,216695,219817,222932,226164,229370,232694,236081,239498,242990,246466,249945,253497,257178,260989,264851,268720,272547,276441,280431,284507,288661,292764,296964,301358,305701,310041,314425,318906,323403,327959,332615,337347,342246,347214,352134,357224,362416,367719,373020,378377,383894,389433,394933,400628,406261,412047,418059,424097,430203,436440,442729,448988,455563,461979,468516,475030,481754,488453,495163,502098,509153,516377,523535,530831,538351,545882,553349,561044,568770,576668,584570,592639,600712,608965,617578,626017,634600,643156,652049,661056,670076,679034,688140,697568,707079,716773,726349,736148,746083,755831,765884,776048,786410,796621,807028,817669,828365,839459,850443,861697,873039,884293,895791,907381,919048,930898,942768,954860,967245,979547,992043,1004488,1017095,1030209,1043341,1056590,1069714,1083292,1096900,1110486,1123960
1,1,1,1,2,2,2,3,5,7,8,8,11,14,17,23,31,36,45,53,59,67,74,86,96,104,115,128,134,141,148,154,161,169,177,182,193,199,209,214,226,235,245,252,262,271,276,282,288,292,298,307,318,322,326,334,342,348,357,364,374,386,400,410,424,434,450,466,481,493,507,526,535,552,572,584,603,617,630,646,663,677,692,709,726,743,761,786,801,821,831,846,863,884,902,924,940,965,999,1025,1042,1081,1113,1147,1186,1220,1265,1316,1361,1409,1460,1499,1537,1576,1634,1696,1741,1790,1839,1890,1934,1977,2018,2078,2121,2165,2208,2241,2286,2325,2353,2397,2439,2473,2514,2560,2593,2643,2703,2746,2800,2856,2912,2963,3019,3079,3132,3194,3264,3330,3411,3495,3563,3636,3726,3807,3899,3994,4093,4199,4301,4395,4512,4628,4744,4862,4985,5100,5225,5337,5464,5617,5728,5854,5999,6157,6321,6471,6628,6779,6958,7122,7265,7428,7608,7755,7956,8124,8295,8479,8672,8853,9018,9200,9393,9573,9768,9964,10161,10324,10502,10664,10853,11044,11231,11371,11538,11715,11871,12061,12233,12420,12594,12793,12991,13189,13415,13621,13832,14059,14299,14557,14787,15006,15224,15473,15760,16032,16298,16570,16863,17157,17431,17681,17973,18272,18545,18838,19122,19405,19719,19989,20307,20610,20929,21207,21533,21845,22214,22588,22937,23327,23726,24085,24494,24886,25271,25682,26106,26517,26959,27397,27838,28279,28765,29230,29704,30163,30637,31131,31668,32152,32711,33266,33798,34368,34938,35547,36141,36728,37334,37972,38629,39281,39947,40595,41328,42062,42797,43518,44306,45065,45789,46517,47307,48112,48947,49768,50590,51358,52208,53075,53962,54780,55570,56472,57377,58269,59193,60118,61053,61974,62844,63787,64667,65602,66547,67474,68448,69446,70462,71495,72512,73552,74621,75652,76680,77817,78978,80154,81318,82555,83768,84975,86213,87447,88812,90166,91482,92872,94277,95709,97114,98584,100033,101573,103102,104701,106216,107806,109374,111058,112678,114366,115987,117702,119344,121094,122867,124644,126420,128210,130048,131929,133742,135596,137425,139343,141231,143180,145194,147108,149032,151068,153125,155066,157039,158986,160985,163034,165055,167167,169371,171567,173763,176010,178226,180537,182855,185166,187575,189954,192440,194901,197470,200088,202750,205337,207963,210743,213541,216377,219266,222253,225131,228222,231334,234434,237628,240725,244000,247308,250742,254229,257721,261187,264729,268334,272014,275773,279549,283279,287132,291034,295000,299026,303169,307359,311439,315698,320053,324445,328933,333420,337955,342516,347116,351818,356629,361504,366280,371215,376321,381490,386610,391716,397018,402418,407723,413190,418617,424246,429960,435706,441467,447280,453124,458978,465222,471398,477686,484009,490467,496790,503498,510105,516884,523567,530389,537119,544102,551195,558537,565745,573037,580342,587904,595613,603336,611299,619399,627609,635991,644397,653147,661718,670451,679509,688491,697633,706890,716327,725893,735568,745334,755306,765371
1,1,1,1,1,1,2,4,6,8,13,15,17,21,23,26,30,38,42,49,60,71,76,97,109,118,127,132,143,154,166,175,186,194,203,220,231,243,259,266,275,296,319,321,334,351,372,384,405,429,453,469,494,508,530,559,591,615,637,675,711,748,779,819,858,897,936,975,1017,1060,1101,1136,1181,1214,1246,1289,1346,1404,1475,1519,1582,1619,1672,1725,1791,1858,1919,1988,2054,2142,2215,2280,2347,2417,2494,2563,2634,2711,2769,2832,2937,3004,3073,3160,3243,3330,3417,3490,3581,3658,3740,3803,3877,3949,4027,4124,4213,4317,4417,4519,4629,4737,4861,4978,5089,5203,5322,5451,5575,5710,5828,5953,6104,6250,6407,6557,6720,6874,7049,7225,7393,7518,7695,7856,8027,8191,8360,8546,8723,8902,9108,9293,9479,9688,9899,10099,10291,10489,10702,10910,11140,11337,11580,11845,12102,12377,12605,12859,13119,13386,13673,13950,14221,14522,14776,15061,15353,15619,15901,16208,16515,16818,17144,17451,17756,18063,18399,18715,19043,19376,19684,20025,20382,20741,21114,21506,21870,22280,22667,23053,23457,23879,24321,24776,25212,25632,26053,26468,26942,27452,27957,28466,28992,29527,30095,30675,31215,31807,32365,32920,33518,34111,34755,35410,36072,36766,37422,38110,38774,39453,40145,40853,41541,42290,43091,43797,44519,45223,45936,46638,47397,48102,48872,49646,50403,51250,52038,52853,53626,54449,55260,56036,56846,57674,58545,59468,60358,61275,62178,63093,64030,65019,66010,67034,68048,69106,70169,71273,72351,73470,74589,75734,76880,78080,79264,80438,81701,82938,84166,85490,86758,88037,89383,90756,92122,93561,95024,96446,97906,99346,100826,102272,103785,105335,106968,108531,110095,111717,113348,114960,116694,118441,120176,121980,123763,125580,127334,129141,131106,133100,135140,137101,139138,141170,143201,145295,147463,149566,151825,153983,156267,158401,160643,162977,165372,167799,170216,172710,175222,177729,180216,182780,185378,188001,190651,193331,196040,198726,201502,204304,207097,210032,213021,216081,219266,222346,225461,228648,231844,235144,238494,241932,245368,248776,252372,255894,259597,263378,267106,270852,274820,278691,282694,286748,290757,294770,298890,303204,307654,312050,316461,320769,325280,329743,334327,338927,343541,348344,353059,357907,362914,367880,372768,377942,383049,388118,393571,398812,404128,409627,415145,420713,426399,432223,438095,444006,449955,455944,462131,468419,474803,481109,487500,493934,500497,507229,514012,520940,527903,534884,541977,549131,556359,563785,571312,578748,586408,593983,601777,609587,617590,625408,633559,641512,649723,658055,666560,675159,683684,692446,701459,710548,719753,729141,738652,748078,757613,767239,777024,786976,797104,807228,817368,827790,838028,848677,859333,870364,881647,893009,904382,915962,927617,939412,951332,963486,975672,988070,1000616,1013304,1025895,1038733,1051752,1065088,1078502,1092076,1105717,1119481,1133571,1147858,1162321,1176871,1191535,1206331,1221350,1236566,1252009,1267843,1283833,1299687,1315886,1332296,1349070,1365786,1382743,1399819,1417039,1434661,1452744,1470746,1488673,1506895,1525404,1544002,1562865,1581538,1600807
1,1,3,3,4,5,5,8,11,14,15,15,16,17,17,19,24,28,31,34,39,46,53,55,61,68,70,76,79,84,92,101,104,111,119,128,136,142,150,157,161,171,178,184,195,201,209,215,221,229,237,245,253,255,259,261,270,274,278,284,290,295,305,313,321,325,327,339,349,360,376,380,394,406,416,428,436,442,452,464,480,492,498,510,518,526,542,552,564,575,584,604,613,624,644,662,680,692,700,712,724,741,757,785,803,826,838,865,883,902,922,945,965,984,992,1012,1026,1045,1058,1073,1092,1107,1118,1137,1152,1170,1187,1208,1226,1243,1267,1288,1316,1344,1370,1403,1438,1472,1514,1548,1580,1620,1651,1687,1726,1766,1815,1860,1907,1959,2010,2054,2107,2157,2211,2268,2327,2380,2428,2493,2555,2601,2662,2723,2781,2846,2905,2954,3008,3071,3137,3207,3266,3331,3390,3458,3526,3588,3654,3718,3780,3854,3937,4000,4075,4150,4232,4298,4378,4444,4524,4604,4693,4774,4867,4938,5021,5114,5189,5270,5363,5454,5567,5675,5766,5887,6009,6136,6239,6372,6504,6622,6774,6918,7073,7207,7344,7517,7670,7845,8008,8152,8340,8534,8724,8876,9073,9256,9470,9664,9870,10066,10281,10502,10731,10974,11192,11420,11651,11914,12154,12395,12689,12995,13240,13536,13811,14103,14377,14706,15026,15326,15640,15950,16249,16541,16849,17149,17459,17773,18092,18443,18789,19139,19490,19831,20216,20575,20886,21291,21659,22035,22419,22822,23203,23621,24079,24510,24916,25338,25784,26253,26718,27197,27702,28206,28677,29136,29654,30201,30712,31237,31765,32295,32867,33392,33974,34538,35172,35795,36469,37092,37725,38391,39068,39765,40472,41203,41966,42731,43429,44138,44914,45709,46484,47369,48171,49034,49826,50720,51632,52529,53449,54415,55323,56342,57315,58318,59383,60502,61647,62747,63957,65088,66217,67398,68590,69905,71213,72508,73827,75159,76571,77908,79301,80783,82234,83711,85124,86575,88095,89612,91101,92647,94201,95771,97404,99005,100571,102242,103924,105647,107400,109155,110895,112643,114442,116312,118146,120027,121996,124012,125997,128026,130020,132088,134249,136373,138531,140585,142832,145039,147298,149671,151971,154275,156751,159168,161615,164072,166537,169069,171697,174292,176982,179667,182403,185251,188079,190934,193833,196780,199688,202679,205670,208728,211803,214912,218019,221230,224489,227732,230980,234187,237519,240775,244202,247648,251112,254684,258267,261873,265457,269107,272906,276691,280648,284607,288470,292551,296757,300895,305098,309231,313604,317912,322425,326958,331464,336010,340736,345491,350262,355227,360264,365403,370589,375624,380887,386210,391625,397202,402702,408243,413903,419617,425443,431466,437481,443529,449623,455979,462388,468809,475250,481871,488391,495087,501984,508903,516125,523401,530523,537833,545384,552796,560391,568193,576026,584117,592166,600458,608662,617208,625808,634348,643072,652033,660963,670027,679184,688671,698076,707819,717670,727523,737361
1,1,1,1,1,1,3,3,4,4,5,6,7,7,8,8,11,11,11,11,11,11,14,15,15,19,21,22,26,31,39,43,54,59,64,72,78,90,97,115,122,131,138,147,158,162,165,170,178,191,211,223,233,245,256,261,278,285,290,299,319,334,342,358,372,387,405,429,453,477,507,528,554,573,608,637,663,695,734,770,800,826,866,896,913,950,985,1021,1058,1098,1150,1195,1240,1285,1323,1360,1407,1446,1483,1531,1581,1625,1674,1721,1761,1807,1848,1887,1929,1958,2008,2049,2098,2142,2185,2222,2253,2295,2333,2369,2410,2451,2491,2530,2576,2620,2661,2715,2757,2786,2832,2864,2907,2955,2999,3048,3086,3134,3172,3211,3250,3302,3354,3408,3438,3479,3536,3578,3609,3649,3691,3731,3775,3820,3865,3913,3954,4007,4064,4106,4144,4199,4249,4313,4359,4421,4476,4534,4578,4636,4693,4752,4806,4870,4937,4994,5052,5118,5184,5244,5302,5354,5416,5480,5538,5626,5705,5795,5852,5935,6007,6085,6150,6210,6275,6357,6422,6500,6571,6642,6732,6815,6898,6974,7059,7146,7233,7319,7394,7467,7565,7647,7739,7819,7905,7985,8062,8141,8243,8331,8425,8514,8614,8697,8807,8898,8984,9081,9184,9282,9376,9462,9558,9660,9775,9887,9987,10091,10198,10313,10423,10531,10662,10786,10868,10981,11113,11236,11355,11480,11616,11746,11879,12029,12174,12312,12446,12601,12735,12865,13019,13148,13259,13394,13542,13682,13845,14010,14170,14322,14469,14635,14778,14926,15104,15281,15452,15605,15772,15925,16087,16223,16375,16519,16664,16822,16980,17126,17286,17474,17618,17788,17950,18105,18276,18424,18611,18774,18964,19144,19304,19460,19613,19785,19947,20112,20266,20472,20637,20814,20994,21165,21315,21507,21674,21834,22019,22191,22381,22556,22754,22941,23127,23305,23477,23645,23851,24034,24219,24407,24586,24778,24982,25161,25327,25521,25731,25922,26109,26305,26493,26694,26900,27105,27326,27528,27745,27953,28190,28417,28638,28842,29081,29291,29489,29693,29899,30104,30310,30535,30775,31010,31268,31499,31779,32045,32292,32561,32819,33078,33350,33650,33921,34218,34520,34826,35115,35427,35790,36110,36456,36829,37168,37525,37897,38257,38621,39018,39395,39828,40233,40646,41052,41466,41859,42255,42692,43152,43606,44070,44541,44973,45408,45855,46313,46779,47269,47732,48183,48681,49178,49660,50192,50749,51267,51790,52344,52868,53366,53960,54533,55128,55712,56308,56940,57551,58193,58830,59506,60178,60830,61525,62268,63004,63742,64475,65190,65935,66728,67475,68287,69077,69890,70715,71518,72359,73207,74041,74926,75896,76819,77703,78663,79550,80497,81455,82438,83426,84452,85524,86575,87677,88757,89814,90858,91993,93119,94241,95355,96451,97605,98749,99994,101281,102496,103730,104994,106361,107689,109083,110442,111770,113131,114546,115986,117453,118903,120373,121922,123419,124911,126521,128076,129652,131200,132802,134453
1,1,1,1,1,4,6,6,8,11,11,12,13,16,19,23,26,31,38,40,46,52,61,66,80,87,90,94,97,107,119,122,136,143,155,171,179,190,198,206,213,219,229,232,241,252,258,260,265,274,282,286,294,302,307,308,321,325,332,346,356,369,379,391,399,405,420,431,442,456,464,470,479,486,491,501,504,512,520,529,534,546,552,559,562,571,576,583,590,595,601,611,619,627,634,641,647,654,664,669,674,685,694,702,725,749,766,775,792,805,824,838,860,882,908,932,949,982,1015,1055,1097,1127,1158,1193,1234,1271,1320,1357,1413,1461,1498,1537,1585,1636,1682,1728,1780,1836,1890,1951,1993,2048,2110,2175,2227,2286,2359,2418,2484,2545,2610,2674,2755,2817,2887,2948,3035,3111,3187,3240,3312,3390,3463,3546,3626,3692,3782,3856,3929,3989,4073,4145,4219,4299,4387,4461,4532,4592,4657,4726,4801,4860,4927,5001,5057,5103,5162,5204,5253,5303,5348,5399,5447,5489,5536,5591,5638,5692,5744,5810,5878,5934,6002,6068,6138,6201,6261,6339,6420,6501,6562,6646,6737,6821,6918,6999,7082,7168,7269,7367,7464,7566,7676,7782,7897,7989,8114,8230,8353,8461,8568,8687,8801,8916,9034,9169,9297,9434,9558,9680,9813,9959,10109,10255,10402,10563,10714,10869,11064,11251,11414,11589,11772,11974,12162,12360,12601,12832,13073,13326,13553,13794,14028,14238,14451,14694,14939,15174,15398,15611,15844,16065,16279,16494,16724,16920,17148,17386,17635,17855,18119,18389,18622,18872,19133,19388,19645,19879,20171,20432,20707,20994,21276,21562,21867,22172,22505,22794,23109,23401,23702,24067,24382,24738,25120,25474,25873,26261,26653,27110,27536,27983,28435,28909,29369,29814,30280,30791,31301,31804,32332,32908,33403,33933,34503,35052,35621,36259,36865,37424,38040,38646,39253,39859,40481,41118,41737,42420,43095,43771,44442,45108,45841,46540,47298,47981,48660,49417,50202,50976,51766,52566,53370,54181,54962,55841,56669,57519,58383,59292,60157,61024,61886,62840,63785,64757,65676,66584,67540,68494,69477,70448,71430,72521,73523,74532,75637,76742,77818,78872,80001,81152,82218,83320,84456,85625,86840,88020,89205,90529,91842,93089,94386,95669,97018,98356,99777,101188,102618,104069,105648,107183,108727,110283,111873,113411,114976,116656,118293,119935,121650,123382,125096,126844,128691,130561,132382,134210,136120,137977,139940,141861,143694,145657,147719,149752,151824,153948,155997,158193,160271,162390,164565,166678,168979,171224,173632,176043,178450,180788,183246,185665,188269,190792,193417,196094,198675,201429,204283,207040,209909,212828,215691,218656,221678,224719,227883,231092,234253,237468,240732,243975,247337,250740,254173,257755,261379,264961,268567,272196,275999,279815,283710,287553,291607,295850,299906,304105,308174,312438,316867,321321,325795,330222,334682,339222,343938,348696,353440,358133,362991,367870,372849,377793,382841,388003,393261
1,1,1,1,1,1,2,3,4,6,6,7,13,18,22,30,38,45,52,65,72,79,95,107,123,131,133,147,161,177,194,206,216,233,248,267,291,307,334,361,382,407,443,462,481,500,522,545,571,592,612,636,653,677,700,726,750,772,790,813,828,856,892,918,962,1005,1038,1071,1104,1136,1170,1215,1261,1289,1320,1355,1399,1448,1486,1541,1593,1643,1684,1732,1766,1806,1852,1896,1943,1976,2017,2060,2104,2141,2173,2216,2271,2320,2358,2409,2457,2512,2557,2602,2641,2706,2766,2815,2874,2936,2989,3051,3110,3160,3222,3279,3349,3413,3477,3536,3585,3651,3697,3753,3822,3895,3971,4030,4098,4152,4227,4295,4369,4434,4500,4569,4652,4718,4782,4850,4924,5006,5088,5183,5269,5378,5466,5553,5656,5753,5830,5919,6021,6120,6214,6336,6460,6563,6671,6786,6889,7008,7111,7234,7353,7461,7579,7678,7796,7913,8030,8136,8246,8344,8449,8550,8662,8756,8859,8977,9102,9237,9354,9478,9592,9728,9849,9986,10126,10260,10404,10531,10660,10799,10947,11101,11262,11416,11579,11725,11872,12027,12181,12353,12498,12667,12813,12975,13121,13292,13454,13648,13816,13998,14171,14349,14537,14724,14913,15114,15315,15508,15736,15945,16174,16412,16650,16887,17132,17348,17625,17881,18176,18434,18689,18995,19283,19582,19870,20167,20463,20756,21065,21375,21685,22006,22340,22687,23019,23346,23677,23984,24296,24622,24973,25282,25637,25980,26326,26688,27048,27431,27803,28184,28578,28970,29362,29799,30208,30622,31058,31460,31880,32334,32761,33208,33660,34111,34580,35086,35556,36047,36479,36986,37517,38103,38639,39172,39718,40288,40865,41451,42087,42708,43304,43962,44604,45241,45881,46562,47205,47921,48692,49423,50173,50959,51719,52468,53208,54001,54841,55625,56471,57307,58164,58981,59795,60699,61633,62542,63495,64512,65446,66419,67485,68501,69601,70670,71792,72927,74107,75289,76440,77647,78889,80172,81448,82736,84000,85233,86569,87916,89228,90611,92017,93440,94913,96303,97809,99279,100835,102423,104094,105708,107363,108972,110749,112486,114202,115998,117801,119592,121360,123278,125228,127095,129039,130938,132925,134810,136709,138750,140751,142859,144932,147018,149210,151351,153559,155746,157935,160203,162412,164702,166984,169249,171520,173933,176322,178794,181377,183902,186528,189143,191843,194519,197266,200097,202970,205778,208691,211675,214694,217759,220818,223915,227083,230380,233543,236917,240394,243889,247452,251027,254576,258196,261902,265621,269415,273180,277165,281076,285198,289283,293357,297532,301700,306029,310263,314576,319045,323399,327809,332381,336959,341487,346167,350934,355822,360722,365697,370620,375702,380906,386096,391412,396859,402324,407821,413277,418865,424666,430296,436274,442225,448239,454382,460562,466782,473094,479635,486162,492846,499645,506466,513293,520261,527395,534565,541922,549382,556996,564699,572484,580370,588450,596741,605275,613676,622403,631206,640165,649160,658334,667632,676980,686367,695914,706028,715912,726146,736365,746875,757371,768055,778759,789660
1,1,1,1,1,1,1,1,1,2,3,5,7,9,10,10,10,10,10,10,10,10,10,11,11,13,13,14,16,18,19,20,23,23,29,31,37,41,47,50,56,61,67,81,89,98,112,118,132,140,147,151,168,175,182,195,202,208,221,232,242,259,265,280,289,310,331,349,369,385,403,429,459,484,517,547,587,622,659,707,744,789,835,889,923,962,1016,1062,1113,1169,1215,1274,1318,1365,1420,1480,1529,1568,1620,1676,1737,1791,1841,1882,1938,1999,2061,2120,2177,2244,2306,2362,2430,2512,2572,2653,2741,2810,2892,2967,3048,3133,3208,3293,3382,3472,3560,3632,3722,3803,3880,3964,4064,4140,4226,4329,4429,4529,4635,4752,4843,4959,5069,5187,5310,5425,5553,5651,5781,5896,6032,6174,6331,6463,6593,6727,6854,7013,7165,7327,7477,7633,7782,7969,8162,8367,8582,8761,8943,9112,9305,9490,9687,9882,10072,10275,10483,10675,10867,11056,11306,11521,11743,11949,12189,12423,12633,12866,13105,13349,13609,13865,14114,14358,14636,14936,15212,15473,15760,16052,16386,16710,17022,17340,17689,17995,18315,18658,19029,19424,19794,20198,20620,21018,21399,21795,22185,22611,23038,23448,23902,24355,24790,25245,25768,26211,26719,27170,27661,28166,28631,29184,29705,30187,30689,31255,31813,32408,32919,33437,34018,34563,35101,35687,36261,36863,37458,38056,38668,39258,39871,40551,41201,41859,42511,43157,43835,44504,45183,45904,46599,47320,48037,48785,49566,50343,51132,51946,52764,53576,54372,55224,56023,56897,57771,58639,59530,60422,61300,62182,63063,64019,64950,65854,66810,67724,68690,69591,70607,71637,72723,73776,74888,75963,77016,78168,79202,80384,81550,82753,83973,85127,86332,87589,88899,90219,91589,92991,94385,95859,97291,98770,100386,101942,103513,105106,106721,108362,110047,111766,113610,115444,117299,119145,121073,123014,124940,126836,128898,130954,133078,135111,137245,139347,141541,143779,146131,148450,150738,153126,155614,158044,160625,163227,165889,168511,171156,173776,176507,179179,182028,184880,187718,190776,193678,196683,199744,202736,205844,209106,212352,215646,218886,222185,225488,228976,232425,235909,239364,242901,246480,250038,253813,257454,261216,265104,269029,272956,276978,281044,285059,289238,293518,297772,302080,306361,310657,315102,319466,324148,328855,333496,338313,343172,348078,353053,358050,363217,368420,373597,378980,384378,389744,395343,400845,406499,412034,417797,423742,429648,435708,441727,447896,454046,460391,466735,473202,479607,486171,492785,499366,506058,512937,519907,526962,534233,541580,548939,556318,563879,571587,579209,587065,595096,603115,611321,619783,628146,636664,645414,653994,662801,671912,681016,690257,699709,709077,718889,728620,738328,748492,758679,769060,779487,790143,800806,811693,822487,833583,844748,856048,867475,878887,890520,902225,914193,926006,938191,950425,962833,975173,987929,1000498,1013447,1026460,1039445,1052523,1065777,1079461,1093165,1106935,1120942,1134912,1148991,1163379,1177827,1192771,1207561,1222680,1237812,1253155,1268581,1284269,1300075,1316065,1332314,1348732
1,1,1,1,1,1,1,2,4,5,5,8,10,13,18,22,23,25,27,36,45,58,63,74,80,84,90,103,109,119,128,135,143,151,159,166,173,179,182,188,195,204,210,213,221,233,242,249,260,271,280,289,304,316,333,342,355,360,364,373,386,398,417,442,458,480,497,518,540,564,589,619,642,675,709,742,787,816,844,869,905,934,966,992,1032,1063,1105,1140,1182,1219,1253,1293,1329,1367,1413,1453,1488,1530,1562,1595,1626,1670,1711,1756,1800,1845,1898,1967,2017,2076,2136,2199,2258,2320,2378,2441,2507,2558,2622,2698,2773,2840,2922,2996,3075,3163,3239,3336,3405,3530,3609,3715,3828,3919,4028,4130,4247,4363,4475,4588,4710,4827,4958,5109,5235,5378,5499,5627,5745,5882,6022,6152,6289,6442,6573,6738,6894,7056,7213,7385,7553,7752,7923,8108,8314,8510,8685,8884,9060,9257,9474,9650,9832,10036,10246,10481,10723,10970,11232,11432,11653,11861,12087,12329,12572,12797,13035,13285,13537,13801,14021,14263,14511,14769,15036,15313,15552,15809,16064,16366,16681,16990,17292,17610,17905,18212,18496,18804,19125,19468,19833,20172,20520,20892,21305,21684,22073,22416,22807,23186,23552,23928,24293,24710,25117,25563,26005,26457,26931,27414,27869,28300,28775,29229,29685,30167,30695,31191,31644,32141,32636,33195,33698,34245,34800,35321,35911,36453,37050,37639,38217,38817,39377,39997,40618,41259,41873,42530,43203,43889,44520,45219,45896,46572,47293,48013,48752,49500,50252,51083,51874,52713,53477,54286,55141,56032,56908,57831,58718,59661,60586,61588,62574,63575,64527,65514,66526,67592,68657,69694,70750,71895,73014,74164,75270,76478,77637,78874,80030,81221,82416,83723,85015,86349,87676,89064,90429,91799,93147,94501,95834,97177,98658,100152,101620,103100,104546,106013,107533,109144,110784,112404,113994,115588,117227,118906,120526,122274,123946,125761,127526,129288,131195,133057,134894,136698,138714,140682,142719,144696,146722,148722,150749,152806,155045,157165,159400,161650,163878,166226,168553,170901,173215,175553,178034,180498,183075,185631,188177,190801,193475,196113,198883,201713,204481,207290,210176,213197,216081,219158,222108,225168,228324,231508,234719,238048,241548,245078,248564,252113,255670,259320,263033,266784,270583,274495,278444,282411,286486,290525,294616,298754,302930,307045,311458,315779,320119,324349,328745,333243,337738,342262,346825,351304,355959,360603,365379,370042,374919,380023,384888,390069,395157,400406,405660,411055,416437,422112,427764,433473,439363,445200,451055,457174,463106,469151,475483,481765,488151,494667,501382,508178,514954,521777,528732,535915,542941,550179,557514,564996,572511,580153,587732,595574,603439,611630,619795,628052,636288,644609,653231,661829,670528,679388,688262,697244,706397,715752,725007,734610,744407,754275,764188,774321,784397,794664,805221,815650,826430,837252,848389,859481,870617,882218,893789,905365,917025,928865,940840,953068,965653,978015,990752,1003716,1016829,1030034,1043321,1056638,1070063,1083971,1098089,1112087,1126432,1140735,1155497,1170600,1185767
1,1,1,1,1,1,5,7,7,7,10,13,17,22,26,29,33,37,42,42,46,52,57,65,74,80,88,91,98,103,108,114,120,132,139,146,152,164,173,184,190,202,211,221,231,239,245,248,257,265,272,281,293,301,308,319,327,339,347,360,367,383,401,415,431,449,472,497,519,542,565,593,615,640,656,677,704,735,774,825,866,899,925,962,990,1019,1057,1091,1122,1156,1183,1213,1251,1285,1313,1368,1410,1439,1488,1516,1553,1580,1625,1669,1700,1742,1779,1815,1860,1915,1961,2002,2054,2091,2126,2169,2221,2286,2339,2407,2482,2538,2607,2671,2728,2784,2845,2913,2975,3046,3117,3190,3271,3342,3414,3500,3570,3661,3742,3804,3880,3959,4055,4139,4208,4294,4378,4458,4549,4647,4765,4863,4964,5061,5148,5255,5348,5450,5550,5654,5750,5849,5932,6028,6115,6206,6303,6414,6500,6593,6698,6793,6908,7005,7098,7237,7343,7452,7573,7698,7800,7915,8028,8162,8310,8442,8571,8695,8842,8993,9134,9291,9441,9592,9728,9903,10071,10237,10391,10595,10779,10933,11111,11267,11441,11605,11791,11964,12128,12312,12480,12661,12852,13007,13192,13423,13608,13833,14043,14282,14506,14754,15000,15256,15525,15759,16044,16280,16542,16807,17061,17321,17584,17859,18144,18435,18715,18981,19278,19566,19859,20151,20444,20767,21075,21363,21671,21991,22314,22655,22987,23321,23671,24012,24368,24725,25091,25464,25831,26217,26604,26982,27379,27788,28180,28591,28999,29445,29916,30335,30775,31241,31690,32154,32616,33062,33544,34033,34515,35004,35517,36041,36548,37070,37606,38127,38680,39228,39776,40369,40936,41536,42148,42781,43347,43971,44574,45226,45914,46541,47144,47791,48476,49196,49900,50613,51345,52072,52848,53652,54475,55251,56068,56919,57791,58726,59610,60539,61456,62416,63403,64405,65462,66508,67509,68574,69647,70748,71788,72935,74097,75240,76374,77518,78678,79855,81053,82239,83461,84605,85896,87143,88394,89725,90934,92183,93510,94848,96150,97590,99003,100358,101752,103108,104581,105998,107467,108962,110473,112029,113518,115053,116601,118201,119819,121442,123142,124831,126489,128167,129839,131483,133236,134994,136799,138628,140467,142290,144115,145918,147795,149640,151610,153677,155695,157750,159890,162001,164135,166306,168427,170582,172817,175082,177279,179647,182027,184344,186627,189072,191417,193978,196527,199095,201760,204285,206969,209589,212289,215003,217776,220538,223379,226320,229261,232206,235179,238303,241287,244326,247374,250511,253670,256902,260151,263329,266670,270036,273508,276997,280482,284069,287750,291550,295150,298872,302694,306586,310427,314323,318359,322464,326561,330670,334973,339288,343619,348133,352620,357067,361687,366470,371064,375914,380602,385570,390625,395638,400709,405933,411320,416571,421940,427482,433030,438594,444150,449849,455741,461739,467678,473608,479660,485957,492177,498425,504845,511301,517821,524518,531467,538480,545567,552601,559884,567234,574685,582187,589665,597382,605152,613034,621103,629293,637489,645853,654368
1,1,1,2,4,4,6,7,7,8,10,12,12,12,13,14,14,18,22,22,25,27,36,37,41,44,48,51,58,62,72,82,88,93,99,110,119,131,139,146,160,175,191,206,216,225,233,245,257,268,286,297,305,320,335,342,349,367,389,409,422,442,455,472,486,504,523,544,574,602,632,662,691,731,768,807,834,883,934,977,1017,1067,1131,1182,1234,1301,1365,1427,1510,1586,1659,1735,1800,1865,1939,2018,2097,2171,2255,2321,2371,2442,2504,2579,2653,2722,2786,2857,2923,2980,3034,3081,3139,3193,3256,3323,3379,3436,3505,3566,3626,3689,3741,3806,3854,3906,3959,4016,4080,4158,4249,4314,4372,4456,4555,4630,4708,4781,4867,4965,5061,5145,5240,5335,5430,5540,5651,5766,5883,6011,6133,6254,6371,6489,6615,6756,6868,7011,7155,7317,7436,7580,7720,7901,8065,8217,8386,8556,8698,8899,9076,9266,9456,9640,9825,10050,10234,10417,10635,10862,11091,11309,11555,11780,12015,12258,12507,12806,13086,13379,13704,14023,14347,14699,15008,15346,15707,16036,16399,16752,17107,17458,17838,18173,18506,18872,19232,19592,19951,20344,20743,21087,21447,21799,22159,22502,22870,23253,23625,24014,24409,24823,25210,25609,26014,26393,26775,27205,27677,28126,28597,29086,29569,30066,30581,31126,31682,32296,32886,33441,34047,34613,35269,35950,36593,37209,37832,38478,39172,39857,40554,41189,41908,42614,43364,44137,44884,45533,46240,46975,47757,48527,49263,50052,50876,51694,52545,53384,54244,55066,55957,56866,57796,58743,59701,60704,61666,62664,63707,64725,65794,66893,67996,69141,70245,71443,72601,73801,75055,76292,77496,78751,80002,81332,82654,83997,85335,86746,88087,89479,90930,92412,93857,95350,96825,98428,99938,101542,103104,104741,106430,108190,109926,111644,113364,115221,117092,118971,120831,122740,124634,126551,128482,130497,132493,134575,136595,138827,141005,143139,145368,147606,149844,152096,154356,156708,159029,161425,163841,166303,168677,171307,173853,176555,179226,182003,184790,187574,190496,193484,196491,199550,202712,205764,208957,212095,215313,218739,222210,225607,229199,232773,236382,240067,243882,247594,251466,255264,259145,263137,267207,271290,275521,279759,283900,288169,292539,297048,301628,306110,310650,315348,320070,324836,329746,334625,339627,344666,349786,354943,360171,365360,370795,376248,381782,387317,392961,398537,404270,410023,415963,422081,428183,434216,440428,446512,453001,459415,465961,472650,479399,486148,492958,499965,507032,514121,521286,528585,535969,543525,550971,558619,566259,573947,581992,590026,598009,606105,614266,622723,631102,639780,648670,657409,666253,675185,684407,693875,703296,712771,722404,732018,741933,751697,761787,771982,782303,792662,803194,814072,824897,835739,846654,857778,868909,880151,891560,903061,914713,926288,938065,949982,962167,974240,986402,998654,1011056,1023632,1036436,1049291,1062120,1075102,1088070,1101418,1114640,1128232,1141831,1155399,1169201,1183083,1197267,1211506,1225947,1240654,1255411,1270216,1285495,1300793,1316294,1331782,1347633,1363508,1379797,1395909,1412503,1429121,1446140
1,1,1,1,2,4,4,5,7,9,10,11,14,15,15,18,26,29,33,36,40,40,41,48,53,57,59,65,73,80,86,91,97,105,113,122,134,144,161,171,180,192,211,233,248,260,270,289,304,311,321,333,350,364,389,408,426,448,469,482,496,516,536,553,578,599,619,643,675,706,737,769,782,807,836,867,896,920,950,980,1006,1046,1082,1112,1142,1175,1194,1226,1250,1282,1318,1350,1377,1410,1434,1460,1501,1528,1554,1579,1609,1637,1670,1706,1734,1769,1805,1839,1883,1916,1952,1997,2037,2089,2139,2184,2225,2269,2321,2371,2413,2464,2512,2560,2622,2671,2734,2790,2849,2906,2959,3003,3059,3115,3173,3227,3279,3340,3413,3464,3522,3586,3641,3688,3741,3817,3877,3948,4005,4077,4150,4225,4308,4391,4459,4538,4609,4699,4794,4887,4977,5062,5172,5265,5358,5464,5596,5705,5827,5933,6068,6195,6316,6456,6593,6710,6821,6936,7077,7220,7355,7495,7635,7779,7918,8045,8193,8312,8434,8547,8692,8837,8988,9130,9281,9425,9568,9733,9889,10064,10242,10432,10618,10800,10993,11196,11400,11604,11813,12023,12233,12438,12642,12818,13015,13232,13446,13689,13922,14124,14352,14586,14807,15038,15268,15500,15744,15964,16192,16438,16654,16861,17090,17319,17548,17799,18046,18269,18545,18795,19031,19274,19560,19817,20064,20296,20565,20867,21138,21398,21706,21967,22294,22575,22859,23138,23438,23750,24057,24380,24717,25043,25377,25700,26021,26333,26704,27045,27373,27730,28100,28501,28852,29273,29681,30106,30530,30943,31349,31782,32244,32679,33125,33591,34117,34595,35109,35597,36105,36626,37167,37724,38313,38897,39471,40055,40636,41316,41892,42484,43138,43805,44463,45180,45922,46626,47378,48097,48861,49621,50478,51241,52071,52881,53744,54613,55480,56335,57219,58180,59131,60065,61090,62110,63142,64216,65256,66374,67512,68549,69674,70859,72097,73394,74705,76010,77327,78690,80022,81419,82772,84197,85596,86979,88414,89844,91373,92882,94380,95888,97433,99049,100645,102346,104006,105663,107420,109223,111006,112914,114845,116777,118740,120665,122684,124712,126771,128957,131146,133315,135457,137723,139993,142343,144737,147117,149526,151998,154527,157098,159691,162241,164904,167535,170181,172946,175700,178546,181417,184312,187289,190304,193281,196392,199607,202772,205997,209292,212601,215967,219340,222893,226499,230148,233899,237566,241382,245171,248899,252827,256771,260804,264863,269074,273266,277410,281664,286013,290447,295018,299483,304069,308819,313696,318566,323555,328507,333646,338786,344057,349362,354842,360199,365666,371337,376996,382643,388524,394364,400202,406045,412075,418232,424296,430421,436630,442867,449134,455662,462145,468740,475168,481922,488714,495588,502454,509433,516508,523691,530896,538331,545819,553445,561190,568892,576872,584823,592928,601140,609690,618320,626941,635667,644504,653453,662521,671724,680997,690405,699915,709578,719474,729212,739191,749277,759633,769785,780363,790606,801188,811927,822866,833608,844595,855980,867210,878788
1,1,1,1,2,2,5,5,8,10,11,12,12,13,18,22,26,33,38,49,52,61,68,77,86,94,98,110,121,130,135,149,162,169,176,185,192,199,203,208,211,221,229,236,245,254,263,272,282,292,303,315,326,340,356,370,382,401,420,445,473,504,542,576,613,644,677,706,739,769,805,831,855,886,924,967,999,1031,1067,1104,1138,1171,1220,1265,1298,1346,1379,1408,1447,1498,1554,1601,1650,1701,1749,1796,1856,1916,1968,2022,2084,2142,2214,2278,2339,2429,2500,2557,2626,2712,2799,2895,2984,3080,3162,3231,3314,3409,3510,3603,3712,3802,3894,3994,4099,4209,4326,4452,4561,4667,4782,4894,4997,5087,5205,5331,5437,5541,5641,5768,5904,6013,6157,6277,6406,6555,6705,6852,7004,7144,7305,7448,7612,7772,7921,8066,8231,8412,8580,8769,8924,9092,9306,9500,9706,9902,10126,10343,10507,10700,10908,11102,11320,11525,11740,11963,12190,12410,12616,12836,13050,13289,13503,13751,13978,14215,14466,14719,14955,15173,15422,15646,15912,16168,16431,16660,16903,17161,17427,17723,17990,18300,18582,18883,19175,19452,19782,20128,20446,20811,21152,21500,21843,22177,22577,22949,23310,23690,24051,24406,24809,25195,25585,25993,26436,26845,27295,27726,28161,28617,29041,29494,29904,30341,30799,31269,31750,32246,32724,33227,33690,34191,34702,35210,35733,36257,36820,37410,37986,38581,39205,39803,40418,41059,41654,42308,43031,43723,44415,45108,45819,46510,47192,47902,48657,49413,50191,50930,51657,52535,53346,54180,55000,55799,56610,57523,58395,59250,60169,61060,61975,62973,63928,64904,65888,66934,67906,68910,69962,70997,72015,73070,74100,75219,76293,77466,78596,79765,80789,81913,83022,84162,85346,86481,87684,88894,90098,91362,92634,93957,95209,96577,97879,99202,100594,102013,103383,104858,106336,107878,109462,111025,112586,114131,115704,117262,118849,120450,122093,123663,125219,126902,128673,130463,132244,134060,135892,137773,139669,141581,143412,145348,147239,149271,151316,153377,155572,157672,159815,162047,164291,166594,168883,171266,173636,176044,178464,181048,183661,186195,188714,191355,194086,196830,199545,202300,205071,207872,210786,213792,216655,219661,222738,225704,228786,231975,235201,238460,241820,245268,248665,252131,255532,259117,262696,266494,270234,274020,277910,281874,286017,290065,294217,298529,302854,307266,311824,316315,321057,325574,330245,335016,339907,344958,350100,355218,360516,365918,371256,376723,382180,387695,393187,399090,404851,410630,416565,422678,428800,434794,441060,447355,453718,460104,466686,473318,479972,486777,493656,500677,507750,514866,522125,529446,536707,544312,551816,559503,567378,575391,583430,591641,600007,608384,616901,625597,634314,643123,652023,661227,670484,679904,689465,699307,709195,719105,729088,739467,750006,760582,771470,782259,793229,804190,815336,826677,837994,849596,861709,873714,885721,897823,910218,923096,935923,948920,961724,974874,988006,1001515,1015129,1028892,1042701,1056824,1071077,1085600,1100085,1114714,1129475,1144500,1159614,1175188,1190870,1206685,1222613,1238701,1255235
1,1,1,1,1,1,1,2,2,2,4,6,10,11,12,12,13,21,24,30,37,42,48,54,55,58,62,71,77,82,86,96,101,110,113,125,127,134,150,156,164,173,184,192,200,208,215,227,239,253,263,275,286,294,311,324,339,365,379,399,421,440,464,487,509,529,556,567,597,634,656,682,715,744,769,801,818,845,864,904,940,970,999,1026,1053,1078,1113,1146,1175,1205,1242,1276,1307,1341,1378,1409,1457,1497,1557,1610,1677,1727,1779,1833,1885,1948,1994,2055,2121,2175,2237,2306,2374,2453,2512,2590,2657,2724,2799,2863,2934,3003,3079,3163,3232,3301,3355,3424,3499,3574,3643,3714,3789,3865,3924,4005,4089,4178,4256,4312,4396,4483,4553,4625,4708,4787,4867,4948,5040,5130,5227,5332,5420,5507,5612,5705,5802,5912,6020,6114,6217,6310,6417,6523,6639,6754,6872,6995,7110,7232,7366,7497,7649,7781,7931,8071,8244,8402,8564,8724,8867,9020,9203,9358,9542,9713,9895,10065,10229,10415,10606,10783,10979,11160,11333,11516,11690,11862,12038,12216,12402,12586,12770,12938,13139,13329,13531,13716,13917,14103,14315,14504,14696,14864,15029,15246,15433,15649,15832,16046,16265,16451,16650,16874,17051,17255,17454,17657,17871,18072,18246,18450,18660,18855,19057,19258,19468,19681,19882,20101,20351,20595,20829,21061,21319,21544,21798,22045,22293,22545,22795,23055,23343,23639,23938,24256,24566,24919,25240,25569,25896,26220,26536,26888,27200,27570,27931,28283,28662,29088,29465,29843,30262,30655,31076,31493,31879,32288,32730,33134,33539,33954,34405,34843,35321,35773,36212,36680,37120,37542,38025,38511,38978,39459,39915,40413,40881,41367,41866,42420,42965,43476,44012,44543,45093,45621,46120,46698,47297,47903,48483,49050,49702,50365,51003,51571,52222,52854,53530,54200,54961,55652,56340,57091,57823,58544,59383,60160,60965,61813,62647,63503,64368,65215,66079,67013,67905,68815,69721,70682,71705,72697,73707,74703,75702,76772,77848,78990,80101,81303,82438,83665,84872,86029,87248,88577,89804,91074,92409,93770,95163,96604,98008,99470,100937,102408,103944,105427,107039,108597,110240,111932,113575,115252,116883,118644,120400,122165,123966,125813,127722,129616,131591,133555,135529,137521,139532,141621,143776,145911,148025,150215,152435,154652,156909,159224,161537,163910,166330,168781,171275,173854,176361,178943,181578,184144,186870,189621,192515,195301,198055,200998,203950,206988,209997,213030,216229,219387,222673,225919,229281,232625,236017,239629,243271,246915,250639,254283,258207,262106,265960,269996,274070,278250,282459,286697,291050,295528,300055,304640,309300,313966,318862,323842,328695,333813,338903,344305,349543,354810,360180,365588,370967,376402,381997,387716,393298,398912,404624,410583,416491,422403,428480,434599,440815,447007,453381,459717,466327,473049,479835,486566,493578,500477,507584,514846,522123,529633,537177,544843,552564,560466,568275,576249,584567,592894,601227,609692,618344,627088,636028,644832,653796,663109,672627,682185,691904
1,1,1,1,1,1,4,5,6,9,10,11,12,14,14,17,22,23,26,27,29,33,38,43,48,55,59,66,74,80,90,98,103,115,128,139,149,161,168,182,192,198,205,209,220,232,240,252,270,282,289,306,319,333,349,365,387,402,415,431,454,467,486,512,538,566,588,608,625,645,668,688,705,729,748,770,788,803,822,839,856,874,888,907,926,944,970,988,1020,1061,1086,1111,1147,1186,1224,1260,1300,1341,1385,1427,1481,1534,1583,1635,1684,1729,1782,1830,1898,1956,2002,2080,2151,2211,2274,2343,2409,2466,2543,2622,2702,2790,2889,2967,3043,3107,3196,3257,3340,3427,3513,3607,3712,3804,3905,4003,4091,4180,4277,4379,4475,4571,4661,4755,4855,4958,5058,5154,5267,5358,5471,5574,5688,5781,5894,6018,6128,6244,6351,6491,6599,6725,6870,7013,7153,7267,7420,7573,7740,7913,8062,8228,8412,8574,8722,8874,9036,9224,9397,9569,9742,9918,10104,10286,10475,10651,10829,11014,11200,11402,11619,11848,12048,12252,12457,12695,12903,13128,13341,13560,13772,13989,14224,14475,14685,14903,15173,15416,15698,15972,16244,16481,16743,16986,17243,17520,17820,18087,18368,18656,18929,19267,19608,19967,20283,20607,20963,21332,21710,22081,22463,22812,23230,23594,23986,24370,24799,25206,25613,26029,26435,26821,27257,27672,28081,28517,28932,29383,29826,30296,30729,31205,31655,32081,32545,33030,33501,34007,34512,35031,35532,36053,36558,37074,37611,38139,38622,39178,39714,40267,40885,41512,42083,42672,43274,43881,44559,45206,45890,46540,47238,47905,48542,49239,49912,50626,51357,52105,52857,53586,54386,55196,55993,56773,57602,58452,59259,60101,60984,61890,62821,63733,64680,65732,66761,67801,68851,70006,71032,72167,73342,74556,75793,77018,78295,79630,80985,82282,83665,85001,86329,87758,89225,90651,92051,93520,95087,96678,98307,99825,101435,103096,104860,106561,108324,110027,111811,113619,115481,117370,119328,121279,123356,125391,127576,129741,131924,134154,136442,138773,141086,143497,146020,148544,150974,153611,156167,158794,161525,164239,167022,169679,172446,175263,178163,180943,183872,186841,189892,193019,196121,199155,202426,205691,209088,212439,215767,219301,222777,226291,229902,233493,237257,241045,244849,248782,252877,256896,260939,265102,269231,273529,277895,282294,286703,291163,295702,300161,304758,309532,314233,318978,323931,328728,333708,338829,343877,349025,354407,359584,364859,370137,375477,381072,386605,392280,398033,403868,409712,415617,421619,427731,433907,440199,446478,452857,459289,465777,472500,479271,486040,492887,499978,507075,514297,521673,529097,536512,543849,551531,559340,567242,575164,583452,591806,600148,608656,617185,626108,635098,644243,653354,662696,672220,681760,691528,701262,711248,721536,732072,742346,752907,763603,774309,785318,796348,807554,818957,830520,842094,853765,865699,877631,889825,902048,914647,927321,940173,953113,966425,979705,993367,1006803,1020585,1034776,1049070,1063390,1077748,1092483,1107201,1121943,1137300,1152726,1168179,1184107,1199956,1216194
1,1,1,1,1,1,1,3,3,4,5,7,9,10,10,11,11,16,16,19,23,28,33,36,44,55,58,67,70,81,93,102,108,114,125,135,141,155,174,185,197,212,221,234,243,262,266,275,286,293,300,319,335,348,354,369,386,403,416,430,442,458,472,484,491,510,520,535,547,561,577,597,617,645,667,690,709,732,752,777,802,821,842,860,896,925,945,958,983,1001,1026,1049,1068,1090,1109,1133,1155,1181,1197,1217,1237,1264,1282,1307,1337,1362,1386,1411,1440,1462,1491,1508,1537,1564,1591,1618,1644,1674,1700,1721,1758,1779,1817,1847,1888,1929,1961,1990,2023,2067,2119,2167,2209,2250,2299,2351,2411,2476,2533,2597,2673,2757,2818,2882,2955,3041,3109,3193,3286,3368,3445,3524,3620,3708,3793,3895,4003,4105,4204,4327,4433,4557,4679,4819,4949,5096,5231,5367,5479,5615,5764,5907,6077,6231,6395,6532,6681,6822,6976,7132,7291,7465,7626,7790,7956,8115,8281,8460,8642,8805,8989,9190,9356,9519,9706,9898,10101,10291,10500,10704,10937,11141,11351,11529,11745,11960,12198,12406,12629,12853,13090,13368,13648,13893,14166,14406,14686,14989,15261,15524,15836,16108,16343,16632,16933,17235,17555,17845,18172,18473,18802,19075,19392,19730,20040,20415,20795,21127,21507,21862,22207,22561,22933,23298,23699,24089,24451,24855,25233,25624,26009,26399,26828,27222,27624,28055,28459,28867,29333,29761,30224,30646,31137,31624,32118,32539,32977,33456,33936,34435,34940,35483,36024,36616,37165,37740,38327,38914,39507,40092,40696,41315,41948,42591,43243,43938,44628,45342,46094,46888,47702,48533,49374,50238,51125,52040,52990,53934,54893,55943,56953,57949,58964,60000,61062,62196,63381,64586,65754,66904,68127,69405,70736,72086,73365,74708,76035,77370,78740,80207,81670,83113,84576,86139,87672,89303,90870,92510,94071,95726,97446,99146,100990,102808,104677,106521,108373,110329,112225,114172,116128,118170,120211,122241,124356,126462,128600,130719,132844,135077,137372,139706,142059,144330,146641,149085,151496,153987,156573,159086,161674,164328,166945,169679,172404,175088,177988,180822,183683,186605,189567,192620,195741,198852,202216,205442,208780,212111,215389,218940,222447,226141,229747,233344,237129,240920,244731,248720,252587,256533,260541,264555,268683,272894,277246,281563,285901,290259,294720,299354,304136,308902,313508,318339,323210,328176,333134,338252,343450,348721,353921,359294,364651,370163,375784,381285,387085,393017,398785,404725,410648,416669,422858,429138,435356,441554,447969,454491,460987,467613,474509,481471,488423,495521,502506,509826,517055,524370,531860,539399,547049,554748,562570,570464,578338,586402,594458,602817,611163,619643,627991,636613,645361,653985,662823,671812,680870,690000,699153,708456,717873,727306,736829,746518,756666,766662,776794,786946,797261,807859,818610,829482,840286,851171,862229,873445,884963,896474,908071,919787,931594,943528,955641,967804,980144,992722,1005194,1017882,1030731,1043727,1056884,1070310,1083722,1097344,1110864,1124606,1138494
1,1,1,3,5,6,7,7,12,15,15,15,17,19,24,25,25,26,29,39,46,56,67,72,78,85,95,103,112,114,116,119,123,130,139,154,168,178,186,191,204,210,218,231,235,242,262,269,285,292,297,309,327,349,360,377,392,403,414,426,441,459,483,505,535,557,584,614,636,654,684,710,730,743,760,780,800,826,854,873,892,912,933,948,965,984,1006,1041,1066,1095,1111,1151,1181,1213,1242,1279,1312,1362,1395,1433,1464,1503,1557,1611,1657,1702,1747,1794,1837,1893,1961,2026,2099,2166,2240,2300,2348,2423,2487,2537,2580,2638,2697,2751,2820,2883,2942,3001,3051,3102,3172,3220,3277,3336,3392,3448,3516,3581,3653,3717,3780,3856,3928,3998,4078,4162,4224,4301,4380,4465,4528,4605,4695,4780,4853,4951,5041,5138,5230,5316,5399,5507,5590,5670,5755,5867,5978,6077,6178,6285,6393,6498,6584,6688,6791,6910,7005,7114,7234,7336,7447,7561,7670,7801,7913,8024,8158,8276,8380,8505,8648,8780,8894,9045,9180,9309,9470,9598,9728,9865,10009,10139,10276,10432,10573,10734,10877,11005,11169,11316,11449,11623,11814,11986,12144,12325,12489,12640,12837,13024,13242,13443,13644,13863,14073,14275,14546,14748,15017,15245,15532,15782,16075,16350,16664,16973,17252,17566,17868,18152,18485,18779,19079,19399,19705,20030,20356,20697,21034,21362,21709,22054,22415,22800,23147,23492,23850,24241,24615,24961,25349,25717,26098,26443,26835,27242,27687,28125,28549,28990,29411,29889,30355,30800,31246,31701,32130,32608,33056,33591,34096,34628,35131,35635,36195,36741,37291,37833,38393,39022,39602,40249,40858,41502,42173,42808,43458,44119,44766,45394,46111,46837,47589,48341,49110,49886,50626,51392,52239,53017,53812,54703,55550,56417,57328,58167,59105,60043,61004,61962,62912,63885,64849,65796,66806,67815,68814,69839,70825,71869,72882,73871,74893,75916,77016,78117,79190,80250,81368,82471,83668,84832,85955,87125,88372,89590,90787,92074,93410,94722,96018,97389,98684,100008,101453,102832,104286,105793,107345,108877,110391,111961,113550,115175,116763,118349,119952,121647,123449,125196,126900,128658,130453,132295,134149,136002,137847,139703,141665,143605,145637,147565,149629,151725,153772,155939,158056,160269,162584,164870,167132,169435,171832,174312,176766,179220,181779,184391,186986,189556,192299,194966,197692,200446,203252,206010,208859,211802,214784,217849,220867,224030,227185,230416,233557,236773,239961,243312,246599,249960,253302,256812,260443,264128,267609,271165,274939,278652,282203,285956,289887,293732,297600,301546,305500,309623,313936,318271,322469,326872,331264,335725,340185,344741,349232,353835,358626,363458,368365,373341,378318,383390,388570,393794,399008,404306,409729,415340,420918,426408,432048,437851,443766,449690,455681,461874,468106,474225,480497,486857,493270,499763,506472,513246,520142,527176,534399,541442,548802,556201,563620,571047,578780,586327,594106,601960,610114,618255,626519,634728,643081,651679,660236,669057,677944,686923,695894
1,1,1,4,5,6,7,7,9,10,10,11,12,12,13,16,16,18,23,23,25,26,33,34,37,39,41,44,46,52,57,64,70,77,81,86,98,103,119,130,137,146,158,161,175,189,195,203,218,230,236,250,255,262,277,286,298,307,323,336,352,366,383,407,426,443,464,485,502,528,555,579,612,638,666,702,735,762,804,844,887,927,968,1010,1068,1103,1157,1201,1250,1305,1349,1389,1437,1488,1543,1592,1641,1694,1758,1799,1861,1925,1995,2054,2124,2184,2266,2343,2402,2481,2567,2644,2736,2823,2916,3001,3105,3203,3292,3387,3474,3580,3688,3790,3890,3985,4090,4209,4304,4442,4541,4657,4784,4900,5006,5139,5261,5383,5514,5640,5776,5893,6018,6137,6270,6415,6559,6713,6866,7013,7160,7302,7424,7563,7690,7834,7990,8155,8314,8483,8668,8858,9037,9228,9397,9562,9732,9920,10094,10290,10475,10666,10877,11089,11273,11456,11634,11837,12055,12253,12472,12657,12880,13098,13285,13496,13726,13922,14115,14360,14582,14783,15024,15256,15496,15701,15930,16177,16425,16683,16982,17213,17485,17776,18035,18288,18561,18855,19120,19423,19692,19995,20326,20619,20909,21250,21570,21853,22193,22542,22902,23254,23634,23993,24339,24716,25065,25463,25853,26229,26625,27079,27497,27948,28379,28847,29291,29736,30162,30626,31094,31549,31975,32427,32849,33333,33810,34280,34750,35208,35670,36128,36644,37100,37564,38081,38585,39088,39606,40115,40681,41189,41730,42262,42777,43318,43881,44462,45021,45616,46208,46828,47469,48073,48697,49307,49919,50567,51187,51863,52554,53213,53858,54532,55193,55918,56596,57295,58020,58717,59426,60184,60908,61619,62361,63108,63830,64601,65379,66187,66999,67803,68619,69426,70254,71072,71954,72824,73750,74645,75563,76510,77445,78410,79389,80320,81254,82278,83245,84241,85223,86221,87168,88179,89146,90148,91179,92147,93145,94130,95117,96137,97175,98284,99346,100433,101547,102633,103709,104782,105821,106919,108027,109164,110366,111548,112770,113986,115273,116508,117719,118992,120327,121619,122954,124372,125690,127043,128401,129887,131264,132650,134153,135632,137188,138703,140190,141780,143316,144905,146492,148107,149817,151473,153163,154907,156620,158345,160071,161790,163559,165292,167147,168958,170745,172598,174511,176435,178386,180345,182359,184441,186482,188617,190714,192822,195012,197293,199672,201978,204346,206768,209137,211665,214240,216800,219340,222026,224734,227504,230265,233125,235983,238898,241820,244684,247780,250820,253874,257041,260172,263323,266534,269820,273184,276601,279947,283389,286811,290274,293960,297596,301346,305182,308923,312918,316952,321020,325011,329155,333276,337442,341741,346056,350483,354845,359321,363922,368687,373430,378366,383267,388216,393430,398607,403875,409215,414456,419836,425489,431144,436924,442587,448350,454292,460146,466243,472226,478504,484961,491551,498065,504605,511434,518283,525178,532163,539221,546225,553503,560793,568179,575540,583086,590573,598247,606178,614105,622344,630367,638530,647020,655295,663595,671973,680794,689617
1,1,1,1,1,1,1,2,6,8,9,9,12,13,15,17,17,17,18,25,29,34,37,46,56,65,73,78,87,96,111,123,132,141,151,162,177,195,213,226,247,270,286,300,311,330,347,361,378,399,416,436,450,468,496,511,535,561,580,602,616,646,675,695,716,749,776,812,838,872,906,946,986,1027,1081,1121,1169,1216,1283,1340,1409,1474,1550,1610,1660,1729,1788,1855,1927,1988,2061,2131,2207,2288,2356,2431,2496,2575,2657,2720,2813,2898,2997,3097,3186,3298,3398,3495,3574,3688,3771,3869,3968,4084,4183,4283,4401,4515,4619,4741,4849,4958,5079,5189,5295,5394,5504,5608,5714,5834,5935,6031,6165,6275,6382,6513,6641,6773,6915,7041,7189,7334,7474,7620,7753,7912,8055,8201,8362,8504,8654,8826,8992,9153,9287,9440,9608,9754,9900,10059,10233,10410,10594,10764,10949,11146,11360,11549,11763,11975,12201,12437,12678,12905,13155,13394,13627,13874,14101,14365,14619,14920,15164,15448,15718,15995,16284,16595,16905,17189,17517,17848,18174,18513,18858,19228,19573,19962,20358,20721,21129,21534,21935,22358,22772,23166,23606,24073,24514,24939,25375,25819,26316,26783,27265,27733,28204,28688,29181,29647,30121,30621,31068,31559,32041,32563,33096,33616,34126,34648,35200,35767,36366,36960,37558,38140,38767,39383,40031,40684,41350,42082,42780,43516,44212,44949,45665,46490,47249,48069,48898,49689,50518,51283,52177,53065,53971,54871,55764,56720,57633,58572,59564,60562,61560,62518,63508,64521,65531,66583,67596,68583,69669,70714,71785,72938,74088,75211,76375,77564,78686,79955,81174,82389,83677,84964,86335,87733,89133,90562,91984,93388,94828,96361,97908,99385,100851,102386,103887,105556,107219,108862,110531,112126,113818,115531,117221,118963,120735,122610,124430,126262,128124,130030,131941,133907,135845,137840,139785,141813,143838,145851,148000,150112,152235,154379,156631,158824,161084,163377,165739,168093,170430,172892,175331,177844,180354,182974,185529,188083,190723,193502,196195,198922,201624,204367,207211,210152,213121,216101,219035,222210,225281,228481,231761,234943,238229,241517,244837,248200,251661,255208,258902,262448,266213,269860,273595,277377,281270,285299,289220,293351,297541,301783,306004,310314,314706,319130,323592,328090,332643,337367,342009,346680,351427,356284,361315,366265,371309,376494,381704,386971,392290,397614,403019,408527,414070,419680,425373,431191,437103,443087,449165,455245,461501,467704,474110,480517,487016,493704,500506,507356,514205,521242,528202,535285,542579,549837,557351,564942,572491,580348,588186,596255,604435,612621,621037,629613,638085,646778,655583,664549,673534,682591,691881,700977,710571,719983,729702,739481,749278,759313,769556,779774,790209,800796,811276,821907,832894,843880,855233,866561,877905,889518,901218,913341,925371,937532,949400,961926,974435,986876,999641,1012768,1025938,1039086,1052578,1066248,1080065,1093983,1108165,1122302,1136478,1150760,1165332,1179903,1194719,1209824,1224904,1240130,1255510,1271061,1286906,1302681,1318825,1335208,1351495,1368193,1385009,1402032,1419313,1436644,1454418,1472128,1490337,1508615,1526936
1,1,1,1,1,1,1,4,4,4,5,7,7,9,10,12,13,14,15,15,15,16,16,22,27,29,35,44,50,58,65,71,80,87,96,107,120,128,136,149,153,157,164,172,179,188,198,206,213,222,228,233,240,248,251,257,270,271,280,286,290,293,293,298,304,308,310,316,317,319,322,324,326,332,339,344,349,366,381,392,402,412,430,438,450,460,476,491,507,525,545,558,575,593,611,635,658,685,723,759,787,816,846,874,899,940,970,999,1037,1080,1113,1156,1199,1232,1263,1304,1333,1372,1416,1447,1474,1513,1550,1586,1627,1672,1730,1773,1824,1862,1909,1974,2020,2072,2139,2195,2255,2320,2368,2417,2484,2557,2617,2694,2792,2863,2931,3012,3102,3195,3273,3350,3421,3492,3591,3675,3763,3859,3939,4011,4114,4216,4336,4460,4565,4649,4777,4900,5024,5147,5282,5438,5597,5755,5895,6065,6233,6393,6556,6728,6875,7021,7171,7323,7498,7663,7819,7966,8115,8260,8426,8615,8798,8987,9156,9331,9480,9658,9826,10006,10181,10375,10566,10756,10937,11129,11343,11541,11733,11948,12158,12364,12579,12784,12990,13210,13421,13696,13918,14118,14330,14557,14809,15019,15229,15455,15672,15936,16167,16391,16616,16887,17122,17375,17652,17926,18186,18440,18711,19009,19335,19652,19934,20225,20529,20807,21114,21430,21745,22062,22430,22763,23160,23542,23925,24329,24734,25165,25565,25983,26435,26847,27301,27772,28318,28827,29372,29885,30407,30860,31336,31852,32433,32974,33529,34099,34681,35265,35851,36401,36976,37560,38185,38802,39380,39996,40659,41308,41948,42581,43250,43949,44643,45358,46059,46725,47410,48083,48804,49581,50333,51110,51822,52659,53444,54242,55005,55813,56684,57539,58383,59287,60142,61023,61946,62893,63862,64831,65846,66816,67862,68961,70017,71099,72211,73359,74551,75777,76978,78151,79409,80678,81887,83221,84499,85876,87210,88515,89858,91205,92538,93930,95379,96743,98171,99605,101038,102523,104013,105466,106921,108392,109975,111509,113042,114587,116188,117744,119304,120862,122497,124133,125791,127467,129179,130940,132719,134504,136266,138087,139871,141708,143609,145557,147466,149381,151315,153332,155297,157328,159294,161294,163292,165360,167353,169397,171594,173743,175844,178049,180264,182483,184654,186975,189290,191654,194022,196471,198942,201436,204036,206592,209275,212088,214770,217570,220295,223119,226059,228990,232039,235068,238129,241164,244478,247669,250972,254359,257759,261256,264716,268260,271861,275487,279116,282807,286449,290215,293998,297879,301793,305820,309860,314072,318359,322660,327107,331592,336185,340732,345395,350071,354747,359439,364188,369149,374074,379098,384149,389244,394469,399769,405080,410401,415713,421080,426505,431990,437625,443248,449020,454776,460592,466438,472498,478510,484720,490805,497122,503452,509959,516457,523181,530035,536955,543877,551070,558274,565263,572486,579987,587319,594870,602370,610211,618047,626070,634203,642248,650415,658445,666879,675283,683777,692403,701177,709905
1,1,1,1,1,1,1,2,2,3,3,3,5,5,9,12,17,21,23,24,28,34,41,56,62,73,78,91,94,99,113,118,122,128,141,148,153,159,171,181,193,200,208,216,221,228,235,245,250,260,267,275,286,293,306,316,327,341,356,368,379,392,407,419,427,437,452,466,473,481,489,496,507,517,524,537,552,562,575,583,593,600,606,613,619,632,641,655,664,672,681,693,702,713,723,740,761,778,800,822,854,879,911,933,975,1008,1042,1079,1113,1165,1211,1257,1301,1362,1421,1466,1502,1561,1620,1681,1744,1815,1881,1944,2009,2061,2136,2197,2276,2349,2410,2485,2567,2651,2720,2772,2842,2881,2957,3025,3092,3169,3221,3294,3374,3463,3532,3608,3678,3745,3830,3885,3957,4025,4097,4173,4250,4331,4401,4476,4569,4659,4737,4817,4895,4978,5060,5151,5249,5369,5476,5580,5682,5782,5885,5987,6098,6209,6316,6431,6565,6668,6809,6929,7085,7199,7322,7461,7598,7724,7876,8017,8152,8303,8451,8592,8749,8902,9043,9199,9348,9491,9629,9774,9917,10053,10202,10345,10493,10658,10803,10956,11108,11265,11410,11550,11684,11818,11976,12135,12285,12446,12618,12776,12934,13103,13308,13505,13690,13888,14074,14269,14493,14725,14948,15191,15420,15659,15924,16178,16418,16690,16928,17246,17516,17780,18070,18377,18689,18964,19256,19548,19884,20210,20509,20795,21144,21479,21789,22122,22432,22736,23060,23404,23767,24126,24498,24848,25212,25566,25957,26329,26712,27127,27531,27918,28345,28799,29203,29647,30086,30541,31017,31540,32003,32483,32983,33503,33987,34498,35018,35567,36100,36642,37212,37778,38335,38941,39536,40124,40750,41361,41945,42595,43219,43891,44528,45199,45840,46523,47200,47932,48661,49359,50113,50853,51630,52436,53201,54010,54837,55644,56479,57395,58246,59127,60041,60967,61864,62749,63720,64736,65661,66643,67718,68716,69731,70819,71880,72959,74059,75201,76314,77466,78607,79780,80976,82088,83286,84448,85619,86826,88037,89318,90633,91905,93206,94559,95927,97237,98508,99884,101255,102617,104039,105511,106945,108407,109856,111360,112831,114328,115852,117451,118973,120529,122119,123750,125353,126974,128667,130433,132198,133945,135680,137425,139287,141108,142963,144807,146680,148628,150495,152416,154400,156423,158442,160462,162563,164580,166694,168815,170891,173130,175273,177518,179713,182004,184331,186619,189027,191517,193978,196479,198966,201551,204221,206921,209584,212265,215099,217907,220824,223676,226666,229627,232661,235788,238775,241935,245060,248348,251603,254993,258294,261738,265216,268644,272199,275767,279369,283032,286958,290804,294739,298580,302426,306418,310570,314694,318865,323034,327194,331513,335897,340273,344838,349321,354025,358829,363442,368194,373051,378010,383069,388044,393244,398525,403741,409016,414267,419674,425262,430804,436280,441961,447747,453669,459682,465702,471796,477833,483994,490263,496668,502955,509641,516292,522910,529596,536481,543336,550173,557322,564609,571877,579141
1,1,1,3,5,5,5,5,6,6,7,10,11,11,14,19,23,24,25,30,36,45,51,60,65,68,73,78,85,94,103,112,120,127,139,142,155,162,171,181,192,200,206,212,230,235,243,248,255,264,269,272,274,285,290,300,308,316,328,337,344,351,363,372,386,400,407,420,434,451,467,476,489,509,525,541,557,569,585,595,612,627,641,663,681,705,725,744,765,794,816,837,865,879,902,932,962,985,1016,1060,1098,1138,1175,1195,1228,1263,1304,1333,1384,1420,1469,1514,1550,1592,1642,1703,1761,1799,1857,1913,1960,1994,2024,2078,2148,2214,2293,2349,2412,2484,2549,2620,2682,2768,2838,2927,3002,3083,3170,3279,3389,3477,3577,3666,3770,3869,3956,4063,4175,4288,4407,4502,4591,4689,4813,4921,5020,5121,5246,5378,5500,5627,5731,5865,6006,6138,6261,6397,6528,6674,6807,6968,7114,7274,7438,7589,7731,7892,8030,8183,8320,8449,8616,8763,8944,9090,9226,9387,9542,9687,9848,9988,10112,10267,10423,10573,10718,10884,11037,11185,11339,11486,11625,11773,11909,12072,12225,12397,12542,12689,12832,12966,13106,13280,13438,13567,13712,13851,14017,14170,14312,14445,14576,14725,14895,15030,15176,15302,15438,15575,15732,15891,16049,16226,16371,16514,16688,16867,17033,17195,17356,17530,17724,17906,18098,18297,18457,18683,18900,19103,19308,19479,19677,19911,20106,20297,20490,20716,20916,21121,21359,21573,21810,22040,22289,22561,22819,23081,23325,23586,23868,24104,24359,24677,24954,25234,25496,25770,26067,26393,26704,26999,27320,27639,27952,28275,28600,28954,29277,29636,29978,30345,30695,31055,31378,31773,32137,32524,32887,33321,33710,34109,34493,34875,35287,35709,36113,36555,36959,37398,37812,38240,38667,39087,39542,40017,40511,40980,41424,41898,42420,42922,43484,43975,44483,44965,45486,46037,46561,47136,47659,48255,48882,49454,50025,50621,51248,51921,52489,53133,53789,54410,55081,55756,56522,57203,57936,58694,59421,60185,60966,61771,62549,63344,64167,64994,65820,66676,67559,68447,69364,70290,71209,72124,73092,74071,75045,76091,77115,78188,79281,80311,81368,82475,83584,84790,85929,87078,88188,89362,90508,91749,93023,94223,95432,96713,97994,99272,100547,101865,103262,104668,105968,107368,108815,110291,111767,113212,114733,116197,117759,119321,120958,122523,124097,125772,127356,129044,130690,132414,134163,135871,137636,139397,141240,143068,145010,146849,148802,150738,152793,154806,156839,158850,160950,163052,165204,167371,169625,171944,174367,176703,179012,181431,183848,186254,188780,191333,193786,196363,198908,201502,204132,206824,209631,212300,215114,217943,220814,223785,226760,229723,232780,235913,238995,242221,245372,248700,251992,255279,258663,262217,265715,269351,273012,276690,280473,284287,288067,291992,295977,300054,304145,308243,312484,316799,321157,325463,329836,334343,338787,343238,347746,352416,357159,362045,366982,371816,376605,381398,386330,391303,396307,401526,406770,411911,417161
1,1,1,4,6,9,12,13,19,20,21,25,29,29,31,35,42,43,48,55,60,69,77,84,91,98,109,118,125,139,153,164,180,195,208,223,244,259,266,287,297,314,327,350,362,377,396,419,441,464,484,501,521,527,540,561,588,610,632,648,666,690,716,740,763,785,810,831,851,886,913,935,956,974,1006,1033,1065,1098,1113,1140,1173,1208,1235,1269,1311,1338,1376,1411,1446,1494,1540,1589,1635,1691,1750,1791,1840,1887,1941,1996,2050,2105,2161,2214,2281,2365,2443,2508,2567,2643,2712,2783,2854,2933,3000,3074,3145,3222,3298,3386,3457,3542,3629,3697,3779,3862,3950,4014,4094,4144,4222,4303,4374,4456,4519,4590,4665,4742,4809,4886,4955,5038,5113,5200,5278,5360,5453,5565,5666,5794,5911,6010,6137,6253,6372,6501,6633,6753,6894,7020,7159,7281,7422,7544,7678,7817,7968,8113,8234,8360,8518,8658,8834,8987,9127,9293,9448,9628,9776,9923,10068,10246,10407,10565,10730,10898,11083,11253,11432,11601,11790,11954,12123,12292,12470,12644,12830,13035,13228,13439,13675,13914,14129,14344,14584,14803,15065,15319,15561,15801,16083,16352,16614,16923,17218,17520,17833,18145,18445,18747,19082,19426,19768,20113,20475,20808,21200,21568,21949,22330,22708,23081,23462,23860,24263,24649,25043,25429,25824,26203,26618,27055,27485,27921,28353,28819,29276,29732,30182,30648,31143,31580,32052,32530,33064,33610,34137,34654,35187,35763,36336,36879,37448,38061,38640,39210,39785,40418,40992,41584,42266,42946,43590,44204,44813,45501,46192,46869,47561,48313,49035,49745,50506,51284,52026,52792,53517,54324,55102,55887,56679,57472,58285,59140,59976,60881,61764,62639,63562,64478,65452,66380,67353,68306,69301,70276,71320,72353,73381,74478,75576,76703,77855,78960,80089,81275,82484,83670,84838,86075,87384,88611,89949,91231,92558,93936,95250,96522,97888,99340,100818,102349,103902,105411,107002,108602,110124,111761,113409,115145,116779,118520,120260,122011,123881,125670,127525,129388,131386,133275,135225,137250,139189,141262,143452,145600,147716,149826,152041,154281,156552,158751,161014,163301,165555,167995,170394,172823,175344,177898,180490,183026,185640,188330,190986,193706,196561,199430,202427,205471,208549,211622,214824,218035,221373,224620,228022,231398,234840,238394,242009,245573,249271,252971,256811,260481,264177,268030,271962,275845,280028,284181,288308,292460,296757,301129,305483,310006,314426,318927,323624,328327,333210,338040,342806,347786,352743,357797,362827,367910,373144,378324,383703,389076,394471,399921,405410,411050,416648,422463,428226,433996,439726,445570,451609,457684,463869,470233,476608,483090,489554,496078,502789,509564,516462,523380,530442,537522,544742,552006,559266,566745,574424,582009,589571,597506,605568,613686,621850,630068,638519,647103,655710,664511,673355,682333,691454,700728,710045,719670,729102,738917,748822,758642,768745,778870,789119,799500,810234,820651,831466,842507,853874,865060,876513,887789,899232,910868,922720,934838,946991,959310,971694,984278,996931,1010017,1023052
1,1,1,1,1,4,4,6,7,8,9,11,11,12,13,16,19,20,20,21,23,27,32,34,38,44,51,61,65,69,76,84,93,103,117,128,136,146,164,182,198,216,227,248,265,276,289,304,318,341,359,381,391,403,418,435,450,461,477,497,517,538,562,582,605,634,655,680,706,737,756,790,817,846,874,903,938,961,979,1011,1040,1071,1098,1131,1158,1189,1215,1245,1293,1326,1357,1393,1426,1454,1501,1531,1578,1614,1651,1696,1739,1784,1821,1858,1893,1934,1971,2007,2051,2087,2135,2179,2226,2284,2344,2391,2435,2492,2528,2586,2620,2672,2733,2790,2843,2901,2961,3016,3089,3151,3228,3301,3369,3456,3515,3613,3679,3759,3864,3955,4042,4153,4256,4366,4477,4581,4698,4827,4958,5094,5235,5390,5525,5667,5795,5963,6095,6262,6423,6571,6719,6864,7032,7188,7343,7522,7692,7859,8010,8186,8348,8522,8701,8857,9013,9187,9368,9514,9679,9859,10053,10195,10368,10550,10732,10960,11147,11340,11563,11743,11960,12187,12409,12607,12831,13033,13262,13495,13738,13953,14209,14435,14728,15001,15269,15542,15793,16078,16318,16591,16869,17170,17472,17762,18034,18312,18622,18927,19245,19527,19840,20145,20443,20765,21062,21344,21648,21947,22244,22532,22824,23110,23412,23749,24086,24433,24786,25105,25454,25785,26161,26569,26953,27326,27670,28066,28462,28852,29230,29634,30026,30444,30867,31296,31695,32127,32584,33012,33462,33896,34343,34821,35333,35840,36356,36860,37375,37889,38409,38901,39438,39957,40467,41005,41571,42123,42711,43325,43951,44531,45147,45785,46344,46944,47608,48263,48918,49594,50234,50937,51619,52364,53085,53820,54580,55309,56082,56859,57578,58316,59099,59930,60753,61577,62409,63290,64145,65035,65999,66913,67856,68870,69909,70884,71948,73010,74039,75149,76331,77476,78637,79844,81068,82343,83673,85007,86415,87782,89227,90628,92092,93611,95183,96744,98271,99781,101376,103037,104703,106390,108135,109879,111616,113445,115255,117161,119014,120941,122841,124824,126816,128895,131002,133170,135326,137414,139583,141721,143984,146195,148439,150750,152981,155283,157741,160127,162575,165031,167520,169941,172497,175112,177827,180535,183330,186088,188850,191736,194639,197568,200551,203506,206600,209737,212851,216079,219370,222710,226160,229576,233076,236659,240294,243942,247734,251444,255343,259266,263238,267128,271154,275254,279434,283651,287871,292204,296536,301054,305620,310208,314927,319691,324541,329422,334352,339360,344547,349685,355005,360346,365837,371381,377012,382791,388456,394265,400190,406163,412261,418386,424537,430890,437275,443849,450485,457130,463959,470951,477759,484824,492041,499238,506422,513828,521412,528999,536612,544668,552414,560443,568540,576877,585193,593559,602042,610785,619598,628461,637708,646824,656195,665496,675072,684529,694077,703880,713701,723713,734131,744463,754888,765532,776123,786875,797893,808890,819965,831292,842616,854168,865992,877764,889580,901676,913983,926410,939020,951647,964398,977429,990548,1004039,1017409,1031022,1044680,1059008,1073220
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1,1,1,1,1,4,8,11,11,12,15,19,21,23,24,25,31,36,39,42,49,50,54,56,61,69,77,89,95,102,115,118,130,138,146,154,164,176,183,190,196,205,212,226,232,234,241,251,258,260,266,267,272,281,287,290,292,294,302,306,308,309,313,316,316,322,325,329,330,333,336,341,348,353,356,363,369,378,383,389,396,398,409,421,435,448,464,484,499,511,530,547,562,582,599,621,658,683,706,736,758,786,816,845,875,904,936,978,1020,1062,1104,1143,1177,1213,1244,1279,1307,1349,1386,1443,1479,1509,1547,1575,1614,1652,1699,1734,1781,1832,1893,1936,1980,2023,2073,2103,2141,2180,2240,2294,2340,2395,2451,2509,2571,2631,2681,2768,2833,2895,2953,3032,3092,3153,3203,3298,3367,3452,3528,3621,3710,3778,3862,3942,4022,4104,4190,4291,4389,4489,4594,4696,4809,4910,5014,5143,5296,5409,5537,5659,5797,5932,6069,6215,6338,6516,6652,6808,6938,7069,7227,7401,7557,7702,7872,8001,8155,8324,8464,8627,8798,8961,9132,9307,9486,9677,9861,10050,10215,10429,10621,10840,11044,11268,11460,11670,11871,12073,12295,12533,12750,12988,13219,13498,13732,13966,14215,14479,14727,14960,15229,15468,15719,16012,16257,16522,16816,17090,17383,17689,17953,18244,18523,18826,19135,19439,19750,20105,20406,20717,21026,21406,21751,22124,22491,22861,23214,23617,24011,24407,24826,25239,25663,26067,26495,26939,27401,27831,28240,28696,29143,29634,30150,30653,31124,31578,32054,32593,33123,33679,34255,34755,35258,35815,36408,36962,37590,38245,38907,39556,40212,40890,41591,42331,43040,43817,44611,45435,46223,47073,47965,48837,49729,50614,51519,52385,53346,54262,55234,56206,57157,58204,59210,60188,61252,62285,63305,64388,65416,66446,67527,68571,69662,70799,71918,73049,74165,75275,76439,77668,78912,80136,81347,82595,83860,85131,86474,87775,89153,90476,91825,93241,94621,96072,97433,98839,100334,101771,103254,104745,106238,107690,109167,110711,112228,113806,115427,117025,118625,120365,122009,123649,125480,127219,129011,130815,132727,134555,136469,138491,140481,142510,144531,146628,148779,150976,153153,155384,157697,160029,162407,164848,167194,169670,172173,174674,177208,179731,182304,184909,187599,190332,193070,195930,198866,201694,204617,207561,210599,213624,216725,219926,223085,226202,229384,232651,235996,239460,242960,246363,249871,253285,256801,260369,264050,267553,271283,274986,278716,282430,286157,290109,293939,297814,301690,305719,309777,314020,318327,322576,326743,331034,335459,339965,344485,349027,353734,358495,363270,368045,372987,377980,382942,388013,393217,398379,403745,408939,414252,419595,425054,430625,436311,442183,448127,453963,459848,465952,472190,478343,484683,491109,497677,504161,510733,517347,523986,530871,537966,545060,552081,559317,566546,573936,581324,588625,596207,603955,611821,619830,627874,635863,643924,652283,660608,668987,677403,686256,695233,704129,713229,722446,731572,740871,750545,759975,769635
1,1,1,1,1,1,1,3,4,5,6,7,10,14,17,18,19,22,25,30,35,41,46,53,64,73,77,81,85,92,109,123,134,141,148,155,172,180,193,202,209,218,225,236,250,260,269,287,293,302,312,326,341,354,373,388,413,428,454,468,485,502,525,534,553,571,591,609,640,668,691,722,745,775,800,842,877,906,939,974,1017,1054,1089,1148,1184,1241,1286,1344,1389,1435,1476,1528,1583,1628,1688,1739,1784,1840,1894,1927,1971,2018,2074,2129,2173,2217,2265,2305,2348,2390,2443,2485,2529,2586,2630,2685,2744,2806,2844,2902,2949,3006,3055,3120,3172,3233,3290,3351,3417,3488,3559,3627,3685,3746,3813,3881,3948,4013,4071,4152,4212,4297,4385,4465,4571,4654,4742,4814,4903,4982,5075,5162,5265,5353,5449,5543,5639,5723,5834,5939,6019,6122,6215,6323,6416,6511,6604,6721,6817,6910,7010,7133,7246,7353,7459,7563,7666,7782,7903,8001,8117,8220,8323,8451,8585,8734,8865,8992,9115,9237,9367,9503,9664,9833,10006,10172,10368,10558,10752,10972,11205,11438,11637,11854,12119,12376,12624,12879,13154,13427,13698,13966,14242,14510,14798,15092,15364,15648,15930,16275,16551,16847,17145,17442,17763,18099,18425,18770,19124,19493,19850,20224,20565,20923,21293,21680,22088,22472,22842,23189,23592,23989,24386,24780,25193,25612,26023,26480,26943,27407,27868,28321,28782,29278,29741,30202,30651,31134,31592,32078,32550,33030,33540,34052,34542,35058,35589,36107,36653,37241,37813,38400,38996,39556,40161,40783,41417,42044,42631,43293,43986,44633,45290,45942,46636,47293,48024,48742,49470,50219,50946,51711,52465,53212,53973,54799,55624,56485,57326,58182,59060,59951,60776,61599,62450,63371,64275,65166,66148,67165,68153,69158,70106,71147,72203,73232,74319,75367,76457,77560,78637,79705,80793,81870,83004,84209,85447,86706,87947,89122,90452,91784,93061,94416,95763,97123,98488,99948,101379,102896,104448,106015,107591,109198,110735,112378,114043,115707,117441,119183,120984,122694,124542,126424,128294,130234,132150,134140,136127,138175,140141,142219,144335,146496,148753,150905,153095,155367,157644,159930,162221,164626,167022,169462,171961,174455,176956,179498,182183,184771,187360,190091,192792,195651,198492,201309,204144,207020,209914,212832,215812,218771,221737,224732,227724,230819,233929,237088,240245,243451,246695,250103,253526,256994,260578,264185,267838,271584,275340,279106,282921,286815,290812,294924,299152,303210,307509,311741,315978,320350,324734,329228,333838,338347,343023,347816,352751,357659,362594,367801,372873,377946,383125,388412,393716,399117,404700,410324,416140,421956,427805,433806,439837,445917,452098,458386,464705,471239,477869,484630,491406,498204,505221,512262,519510,526787,534349,542010,549609,557443,565236,573260,581564,589886,598327,606883,615574,624157,633157,642161,651119,660269,669599,679143,688796,698408,708164,718195,728238,738530,748948,759345,770077,780802,791736,802501,813376,824665,836087,847604,859128,870944,882761,894884,907105,919474,931942
1,1,5,5,7,13,14,16,19,22,25,29,31,37,39,45,50,57,60,64,70,76,80,80,87,97,103,111,119,129,136,144,154,159,163,167,175,181,188,195,204,213,218,221,234,238,243,248,263,270,281,285,291,298,299,309,317,326,342,353,371,387,397,408,434,449,472,494,517,542,569,593,619,648,672,687,713,730,755,781,809,828,849,876,895,918,944,966,987,1000,1015,1040,1060,1087,1132,1159,1194,1231,1261,1286,1325,1361,1408,1454,1499,1532,1577,1623,1661,1714,1764,1816,1871,1926,1973,2044,2113,2172,2231,2304,2371,2446,2528,2607,2708,2824,2899,2977,3076,3155,3261,3359,3469,3557,3647,3734,3828,3928,4031,4137,4225,4321,4413,4529,4637,4741,4847,4964,5060,5156,5245,5330,5418,5493,5587,5681,5776,5878,6000,6111,6200,6299,6394,6498,6602,6709,6802,6904,6993,7083,7199,7313,7418,7515,7624,7731,7852,7973,8073,8181,8315,8444,8572,8700,8848,8999,9151,9295,9446,9588,9742,9884,10037,10195,10365,10532,10701,10873,11015,11179,11343,11517,11688,11832,11969,12123,12273,12421,12584,12755,12910,13056,13219,13382,13551,13702,13874,14031,14201,14363,14546,14715,14914,15104,15294,15514,15700,15915,16141,16367,16583,16822,17039,17264,17505,17712,17944,18147,18371,18596,18790,19006,19229,19452,19673,19891,20113,20324,20528,20756,20996,21211,21426,21646,21896,22096,22318,22562,22780,23007,23245,23477,23738,23994,24215,24488,24727,24983,25230,25472,25730,26008,26286,26546,26852,27119,27401,27698,27981,28250,28528,28833,29106,29389,29693,30013,30305,30596,30855,31143,31458,31729,32026,32306,32593,32852,33123,33423,33707,34007,34261,34553,34832,35116,35417,35736,36075,36386,36694,37007,37372,37686,38042,38373,38743,39128,39494,39900,40278,40687,41078,41467,41875,42317,42748,43184,43633,44058,44490,44983,45462,45913,46388,46859,47299,47763,48261,48756,49279,49792,50261,50745,51199,51682,52143,52673,53188,53679,54176,54705,55200,55692,56134,56628,57163,57656,58183,58716,59240,59713,60264,60853,61452,62019,62575,63185,63763,64394,65042,65702,66347,66996,67630,68261,68961,69614,70301,70984,71708,72420,73123,73806,74581,75341,76095,76824,77556,78312,79124,79961,80806,81625,82424,83298,84159,84993,85920,86800,87732,88725,89660,90649,91694,92730,93858,94851,95942,96985,98075,99174,100362,101549,102696,103846,105096,106229,107438,108611,109825,111101,112346,113629,114914,116183,117473,118810,120112,121379,122734,124079,125493,126842,128195,129557,130939,132342,133825,135288,136776,138322,139790,141318,142859,144456,146051,147654,149399,151132,152793,154607,156361,158122,159940,161807,163683,165646,167564,169458,171360,173435,175476,177651,179775,181897,184020,186181,188407,190783,193090,195410,197879,200332,202904,205445,207981,210558,213172,215780,218415,221122,223942,226607,229474,232230,235153,238102,241095,244068,247084,250223,253321,256562,259858,263115,266407,269745,273212
1,1,1,2,2,2,2,3,4,4,7,8,9,9,11,12,15,17,17,18,20,20,23,28,32,42,45,49,54,58,63,71,78,83,95,102,113,119,127,133,140,149,158,164,173,182,191,198,209,217,226,237,250,254,263,279,297,305,313,334,346,357,373,386,409,427,447,478,498,514,552,582,612,633,662,684,711,738,763,803,842,864,899,934,969,1005,1045,1071,1097,1140,1186,1220,1256,1291,1331,1376,1411,1448,1493,1538,1591,1638,1681,1718,1783,1837,1886,1922,1977,2023,2075,2138,2186,2234,2277,2324,2387,2450,2520,2591,2662,2718,2786,2855,2931,2988,3062,3141,3212,3271,3368,3452,3538,3609,3694,3789,3880,3964,4059,4148,4241,4338,4453,4559,4664,4760,4866,4965,5045,5146,5270,5376,5486,5580,5679,5775,5876,5987,6100,6217,6327,6425,6537,6662,6778,6900,7029,7131,7245,7354,7455,7579,7680,7807,7935,8062,8174,8288,8411,8538,8659,8769,8885,9021,9153,9268,9389,9514,9649,9774,9897,10040,10170,10278,10412,10534,10668,10783,10917,11026,11153,11262,11371,11490,11610,11760,11905,12041,12171,12303,12445,12592,12755,12899,13065,13241,13380,13540,13729,13927,14110,14299,14468,14628,14805,14966,15133,15333,15502,15673,15851,16054,16243,16430,16601,16790,16977,17168,17368,17553,17779,17999,18190,18396,18624,18861,19102,19340,19616,19876,20131,20397,20654,20940,21216,21479,21773,22074,22360,22647,22981,23318,23639,23964,24292,24647,25000,25347,25697,26079,26410,26753,27110,27466,27849,28244,28670,29061,29468,29831,30257,30646,31045,31434,31919,32315,32735,33165,33602,34012,34435,34864,35313,35772,36279,36786,37271,37749,38225,38684,39162,39642,40164,40656,41186,41735,42266,42835,43386,43971,44583,45181,45738,46377,47077,47686,48297,48934,49605,50272,50952,51692,52336,53042,53753,54527,55313,56081,56905,57736,58548,59416,60276,61096,61980,62844,63720,64603,65521,66532,67498,68441,69514,70417,71399,72434,73505,74577,75737,76877,77986,79191,80343,81506,82759,83980,85292,86539,87833,89108,90434,91810,93128,94497,95952,97375,98810,100273,101753,103265,104774,106282,107783,109345,110925,112559,114179,115826,117485,119137,120895,122594,124323,126167,128003,129831,131753,133723,135653,137674,139720,141734,143819,145951,148125,150323,152519,154793,157015,159356,161600,163981,166448,168905,171343,173888,176459,179077,181696,184308,187020,189730,192496,195290,198144,200949,203867,206816,209774,212885,215913,218945,222150,225228,228470,231754,235160,238504,241874,245273,248722,252264,255868,259577,263245,267100,270976,274897,278856,282840,287005,291017,295049,299190,303456,307800,312168,316592,321071,325645,330299,334973,339721,344546,349398,354323,359224,364275,369568,374752,379989,385331,390667,396049,401475,406911,412479,418317,423939,429827,435728,441724,447559,453752,459822,466267,472729,479200,485721,492314,499101,505833,512720,519670,526775,534019,541307,548618,556076,563593,571242,578840,586764,594830,602888,610878,619036
1,1,1,1,1,1,1,2,6,8,10,11,14,21,28,32,40,45,51,56,67,78,89,98,105,115,121,131,135,144,148,155,161,168,178,190,201,206,220,229,233,248,257,266,278,291,310,332,353,374,387,407,423,442,464,484,509,529,561,585,617,651,678,710,731,768,797,826,865,895,933,966,1006,1029,1071,1102,1150,1201,1239,1279,1320,1358,1404,1449,1494,1526,1587,1646,1698,1755,1832,1881,1951,2013,2071,2133,2196,2259,2329,2389,2454,2539,2617,2700,2768,2840,2914,2990,3076,3142,3224,3285,3347,3425,3494,3565,3624,3706,3763,3821,3898,3970,4028,4111,4178,4242,4318,4404,4495,4582,4679,4786,4873,4965,5059,5162,5269,5368,5484,5585,5694,5795,5912,6022,6147,6260,6365,6484,6605,6719,6844,6952,7084,7183,7307,7433,7563,7718,7855,7978,8107,8237,8374,8504,8630,8762,8895,9021,9137,9262,9399,9520,9632,9738,9834,9940,10056,10180,10309,10415,10540,10635,10759,10861,10976,11061,11157,11287,11397,11501,11610,11707,11817,11915,12014,12122,12238,12347,12455,12557,12676,12812,12925,13038,13152,13270,13390,13529,13648,13797,13930,14048,14179,14324,14479,14622,14799,14961,15128,15290,15432,15577,15732,15928,16116,16273,16434,16612,16794,16962,17153,17328,17514,17686,17893,18107,18296,18500,18692,18885,19104,19297,19487,19675,19888,20128,20364,20600,20841,21073,21325,21584,21857,22133,22413,22715,23007,23287,23618,23906,24196,24516,24869,25196,25523,25863,26219,26583,26956,27322,27703,28082,28463,28843,29215,29606,30002,30416,30839,31264,31709,32164,32626,33074,33532,33989,34523,34987,35436,35959,36445,36978,37485,37992,38550,39071,39588,40144,40705,41289,41902,42478,43096,43712,44334,44947,45589,46217,46844,47564,48242,48861,49581,50258,50988,51696,52410,53124,53849,54632,55369,56128,56894,57700,58450,59241,60017,60802,61600,62402,63157,63983,64808,65627,66465,67274,68125,69032,69987,70850,71787,72710,73658,74567,75572,76482,77409,78464,79452,80426,81481,82505,83588,84601,85690,86762,87931,89057,90228,91388,92587,93798,95064,96241,97558,98920,100201,101636,102964,104338,105685,107011,108390,109790,111210,112651,114119,115643,117152,118660,120263,121869,123463,125020,126666,128328,130016,131763,133498,135225,137010,138866,140736,142606,144580,146481,148481,150452,152374,154412,156529,158659,160861,163070,165324,167666,170002,172360,174761,177185,179620,182064,184608,187163,189810,192398,195033,197774,200505,203333,206207,209124,212034,215085,218193,221268,224398,227555,230780,233936,237137,240404,243892,247344,250766,254379,258035,261603,265340,269138,272891,276640,280519,284483,288686,292782,296880,301122,305552,309838,314362,318788,323273,327835,332586,337375,342198,347179,352092,356968,361934,367109,372366,377599,382979,388341,393650,399230,404824,410555,416263,422076,428033,434061,439970,445976,452163,458433,464727,470945,477392,484008,490713,497483,504363,511156,518305,525490,532827,540308,547714,555271,562882,570598,578391,586177,594080
1,1,1,5,6,7,9,10,11,12,13,13,14,17,17,21,22,25,26,30,32,34,36,39,43,47,49,50,52,56,57,62,64,67,67,70,73,82,87,93,102,106,114,122,126,139,156,161,166,174,180,189,198,215,224,241,252,273,284,293,310,334,353,364,380,396,417,432,457,485,508,526,550,572,601,624,640,669,701,727,751,780,809,834,863,884,910,935,958,981,1011,1032,1056,1083,1103,1130,1163,1188,1214,1238,1257,1292,1317,1340,1362,1381,1402,1428,1466,1492,1526,1564,1598,1638,1686,1719,1765,1816,1871,1921,1976,2037,2106,2162,2232,2314,2388,2469,2541,2620,2703,2780,2860,2935,3018,3098,3180,3247,3319,3398,3490,3559,3647,3739,3822,3908,4001,4082,4170,4258,4347,4418,4488,4561,4659,4741,4854,4944,5042,5153,5258,5372,5528,5685,5810,5947,6065,6184,6319,6485,6637,6795,6936,7102,7270,7422,7591,7741,7900,8041,8201,8373,8538,8695,8870,9059,9227,9398,9586,9795,9990,10210,10411,10626,10830,11068,11276,11525,11789,12052,12291,12543,12798,13075,13351,13634,13924,14228,14549,14843,15156,15449,15726,16058,16376,16733,17111,17464,17814,18145,18491,18862,19220,19601,19987,20362,20759,21159,21555,21934,22342,22723,23134,23540,23967,24389,24861,25298,25753,26234,26790,27273,27779,28245,28779,29300,29816,30297,30843,31371,31884,32431,32988,33547,34136,34688,35263,35829,36395,36998,37557,38201,38859,39473,40102,40755,41427,42076,42737,43385,44061,44716,45414,46121,46805,47531,48312,49101,49866,50658,51444,52288,53128,53931,54788,55641,56522,57455,58358,59262,60222,61148,62009,62877,63832,64760,65748,66729,67728,68721,69751,70769,71763,72807,73869,74977,76110,77239,78407,79579,80829,82088,83318,84587,85802,87112,88364,89737,91042,92426,93823,95255,96689,98160,99628,101136,102683,104300,105812,107376,108940,110601,112258,113963,115622,117369,119130,120837,122637,124492,126334,128204,130024,131944,133984,135973,137946,140010,142050,144130,146339,148555,150759,153032,155237,157502,159828,162221,164554,166938,169451,171963,174536,177157,179843,182488,185160,187956,190789,193628,196530,199388,202289,205205,208241,211288,214488,217600,220891,224104,227461,230832,234183,237675,241117,244673,248166,251791,255358,259087,262838,266767,270566,274625,278658,282711,286876,291059,295227,299451,303926,308365,312862,317327,321957,326424,331016,335721,340474,345316,350190,355188,360038,365088,370165,375240,380539,385866,391415,397049,402628,408280,413979,419786,425679,431519,437556,443718,450002,456354,462798,469229,475731,482488,489124,495906,502756,509711,516788,523973,531215,538456,545969,553505,561082,568827,576634,584535,592587,600608,608970,617357,625885,634475,643211,651852,660662,669735,678841,687969,697287,706882,716430,726071,735822,745711,755763,765640,775835,786155,796710,807348,818118,829060,840261,851455,862816,874348,886016,898089,909946,921912,934124,946602,959024,971791,984541,997529,1010745,1024161,1037770,1051293,1065088,1078929,1093002,1107424,1121938
1,1,1,1,3,3,4,6,7,12,13,14,17,20,20,23,36,38,44,56,64,68,74,87,91,106,119,130,140,158,175,183,202,219,228,246,254,261,279,296,312,328,347,367,386,405,425,443,459,482,505,526,549,568,585,611,621,642,666,682,701,722,737,748,775,794,808,827,842,864,886,895,916,938,955,973,997,1022,1048,1071,1092,1117,1153,1179,1212,1234,1266,1294,1330,1375,1410,1443,1481,1514,1554,1594,1638,1682,1723,1779,1837,1881,1926,1972,2020,2067,2108,2165,2216,2270,2335,2402,2460,2513,2574,2637,2704,2766,2829,2911,3001,3093,3166,3248,3334,3408,3492,3582,3668,3760,3841,3917,4002,4086,4171,4258,4352,4442,4518,4598,4685,4777,4860,4942,5033,5114,5197,5278,5377,5470,5569,5657,5748,5858,5954,6048,6137,6247,6359,6472,6616,6733,6867,6983,7104,7214,7351,7479,7612,7754,7893,8013,8135,8269,8399,8534,8661,8787,8894,9011,9124,9242,9374,9510,9617,9740,9840,9974,10095,10225,10371,10506,10631,10737,10854,10989,11113,11240,11372,11499,11639,11776,11919,12100,12246,12402,12547,12701,12861,13015,13173,13324,13497,13664,13811,13980,14168,14337,14521,14702,14879,15071,15241,15427,15616,15784,15989,16177,16375,16606,16813,17030,17225,17436,17663,17858,18063,18268,18500,18771,19054,19340,19623,19906,20186,20436,20738,21054,21372,21669,21995,22339,22705,23019,23409,23745,24078,24398,24738,25145,25534,25949,26331,26738,27167,27618,28084,28482,28904,29361,29814,30265,30763,31230,31729,32218,32773,33297,33806,34307,34840,35394,35972,36497,37105,37734,38325,38918,39534,40142,40792,41449,42107,42761,43443,44057,44727,45377,46097,46818,47517,48232,48963,49618,50321,51035,51814,52584,53350,54142,54938,55770,56624,57405,58222,59070,59904,60838,61725,62622,63521,64404,65322,66199,67115,68103,69076,70079,71122,72131,73114,74200,75258,76362,77447,78543,79665,80794,81967,83131,84347,85585,86855,88099,89354,90630,91984,93306,94676,96097,97517,98999,100428,101973,103417,104973,106610,108226,109818,111461,113161,115016,116830,118626,120409,122177,124006,125860,127674,129620,131546,133486,135457,137429,139500,141592,143726,145857,147995,150255,152402,154567,156817,159064,161335,163652,166072,168427,170871,173371,175885,178417,180989,183565,186227,188863,191553,194339,197161,199955,202818,205721,208644,211662,214756,217881,221081,224289,227409,230672,233924,237250,240710,244160,247646,251247,254844,258517,262227,266016,269891,273769,277651,281662,285466,289507,293587,297777,302014,306395,310791,315146,319545,324182,328736,333502,338259,343208,348181,353095,358118,363166,368403,373741,379082,384485,390130,395799,401323,407013,412825,418844,424815,430887,436872,442967,449289,455777,462195,468643,475251,481982,488764,495582,502528,509462,516585,523890,531314,538745,546316,554005,561708,569420,577202,585194,593165,601284,609454,617848,626469,635132,643781,652575,661552,670621,679635,688934,698316,707937,717528,727284,736825,746627,756643,766733,777055
1,1,1,2,3,3,5,8,10,11,14,14,15,16,17,20,25,28,31,31,35,44,49,53,58,65,78,82,84,86,94,102,110,118,124,129,140,145,155,162,170,184,191,203,212,218,226,236,242,248,254,258,267,271,279,286,297,310,319,329,340,352,370,383,395,408,421,433,451,477,502,527,545,571,597,621,646,665,689,710,727,747,778,808,832,855,879,902,934,971,1004,1040,1068,1097,1119,1151,1192,1225,1249,1273,1303,1332,1352,1381,1413,1449,1480,1521,1563,1592,1631,1667,1701,1727,1757,1793,1839,1878,1913,1944,1973,2016,2059,2092,2131,2179,2216,2253,2293,2342,2380,2429,2483,2523,2566,2619,2658,2701,2747,2794,2833,2883,2927,2979,3029,3073,3136,3179,3236,3279,3318,3358,3413,3468,3508,3569,3630,3687,3732,3779,3839,3902,3956,4027,4092,4144,4200,4252,4326,4398,4470,4544,4626,4707,4771,4849,4936,4999,5082,5168,5236,5316,5412,5500,5589,5681,5775,5885,5975,6076,6173,6284,6397,6518,6626,6725,6864,6972,7086,7207,7344,7494,7632,7778,7933,8067,8203,8338,8464,8642,8811,8970,9139,9290,9432,9587,9737,9906,10073,10231,10391,10566,10735,10923,11073,11247,11396,11566,11754,11939,12110,12277,12447,12618,12812,13013,13190,13381,13555,13757,13963,14157,14385,14579,14794,15001,15237,15482,15716,15964,16200,16430,16675,16928,17161,17434,17687,17941,18187,18425,18664,18908,19154,19396,19663,19960,20200,20482,20744,20998,21257,21554,21834,22112,22378,22685,22975,23292,23577,23881,24180,24478,24772,25069,25338,25669,26010,26331,26649,26953,27235,27561,27934,28263,28594,28953,29316,29647,30018,30386,30787,31159,31540,31936,32254,32624,33014,33397,33787,34179,34605,35015,35490,35912,36336,36779,37180,37588,38071,38523,38928,39414,39887,40363,40841,41310,41841,42329,42845,43365,43868,44437,45003,45532,46044,46564,47103,47655,48232,48819,49425,50008,50587,51178,51766,52409,53016,53661,54324,55033,55758,56446,57168,57875,58626,59415,60125,60932,61751,62566,63362,64186,64985,65771,66632,67496,68410,69277,70151,71058,71961,72841,73811,74736,75766,76740,77701,78680,79710,80769,81818,82878,83989,85069,86228,87393,88578,89734,90924,92121,93374,94609,95909,97253,98563,99882,101218,102586,103949,105400,106814,108215,109619,111081,112501,114004,115558,117169,118756,120361,121926,123638,125318,127085,128853,130641,132431,134301,136208,138085,140053,141963,143931,145906,147801,149737,151784,153918,156055,158172,160363,162555,164790,167038,169320,171580,173861,176075,178470,180804,183323,185686,188107,190624,193134,195636,198198,200907,203715,206477,209247,212121,215044,218020,221194,224252,227412,230502,233704,237049,240415,243710,246943,250424,253829,257364,260942,264549,268201,271833,275516,279354,283051,286663,290551,294331,298178,301996,306018,310028,314097,318227,322347,326585,330891,335245,339578,344050,348641,353243,357907,362596,367276,372014,376846,381740,386745
1,1,1,1,3,6,8,9,12,12,12,15,19,22,25,28,29,32,38,44,46,50,63,70,75,87,92,109,125,140,162,173,182,196,212,229,245,258,274,288,303,316,331,348,354,368,386,411,420,439,448,457,474,485,504,511,523,543,557,570,583,598,605,621,637,646,658,677,689,698,709,721,738,751,762,771,787,801,812,824,838,853,866,881,897,909,928,948,972,988,1004,1016,1032,1050,1072,1104,1130,1149,1163,1182,1199,1221,1243,1262,1275,1290,1317,1340,1367,1406,1432,1465,1496,1517,1546,1571,1600,1630,1662,1680,1708,1745,1767,1795,1816,1843,1872,1908,1926,1962,1994,2028,2061,2100,2134,2164,2198,2226,2261,2287,2321,2355,2389,2432,2471,2507,2550,2601,2647,2689,2744,2801,2851,2914,2964,3019,3071,3136,3203,3276,3348,3430,3508,3567,3662,3736,3808,3896,3988,4074,4165,4271,4340,4439,4510,4591,4692,4777,4896,4983,5070,5169,5252,5350,5455,5570,5676,5779,5891,5982,6097,6199,6296,6416,6540,6653,6769,6897,7008,7152,7285,7449,7573,7714,7847,8018,8178,8344,8511,8672,8850,8991,9168,9317,9485,9653,9789,9953,10144,10325,10525,10689,10843,11027,11192,11371,11554,11710,11881,12071,12233,12385,12530,12695,12860,13040,13214,13392,13545,13726,13893,14086,14265,14432,14614,14796,14985,15160,15342,15523,15706,15883,16071,16258,16437,16648,16857,17067,17284,17506,17700,17920,18183,18435,18697,18941,19190,19439,19698,19943,20200,20475,20746,21028,21311,21622,21904,22212,22528,22823,23159,23463,23762,24096,24428,24776,25101,25445,25769,26100,26466,26843,27248,27662,28051,28457,28868,29264,29714,30148,30571,31023,31476,31894,32345,32842,33352,33813,34291,34775,35270,35767,36272,36787,37336,37866,38462,39012,39605,40168,40748,41327,41938,42552,43149,43796,44508,45190,45846,46559,47288,48034,48783,49505,50264,51076,51897,52737,53565,54406,55229,56084,56944,57809,58704,59540,60418,61325,62245,63186,64157,65093,66109,67069,68078,69092,70144,71186,72250,73334,74416,75472,76554,77687,78827,79911,81096,82241,83410,84586,85797,87026,88282,89540,90774,92063,93434,94816,96203,97592,99090,100508,101936,103441,104895,106322,107890,109458,110992,112603,114257,115930,117652,119325,121001,122735,124408,126179,127965,129751,131559,133441,135236,137092,138974,140805,142812,144793,146831,148815,150839,152920,155007,157124,159327,161479,163679,165998,168217,170537,172812,175212,177619,180092,182667,185149,187579,190132,192703,195369,197890,200463,203229,206016,208783,211545,214549,217565,220548,223617,226689,229800,232952,236128,239415,242695,246045,249371,252902,256342,259811,263396,267031,270739,274493,278192,281984,285879,289706,293591,297454,301418,305511,309718,313827,318108,322456,326851,331244,335612,340126,344668,349293,354000,358677,363425,368359,373185,378156,383273,388441,393686,398919,404286,409646,415054,420536,426113,431761,437505,443206,449054,454947,460926,467169,473372,479694
1,1,2,6,8,10,10,13,14,20,24,30,39,49,54,60,66,75,84,97,110,127,138,150,161,168,174,184,189,196,206,214,221,229,234,240,245,251,256,265,271,277,279,286,288,291,294,295,299,302,305,307,310,311,312,315,318,321,324,326,327,335,336,339,344,353,357,360,369,376,386,393,398,403,407,415,422,431,436,454,464,477,494,515,527,543,555,572,594,611,626,654,672,692,722,741,767,789,822,849,869,910,935,963,994,1029,1047,1072,1110,1149,1180,1211,1238,1267,1291,1319,1351,1377,1412,1450,1480,1526,1563,1595,1623,1650,1677,1703,1746,1782,1828,1858,1901,1943,1985,2027,2066,2107,2141,2180,2220,2257,2299,2344,2369,2408,2437,2483,2533,2577,2614,2655,2697,2743,2783,2821,2874,2915,2963,3012,3066,3117,3166,3219,3269,3323,3382,3436,3485,3532,3580,3633,3701,3758,3813,3864,3920,3975,4045,4109,4178,4237,4291,4349,4407,4463,4529,4601,4674,4743,4818,4888,4951,5034,5118,5191,5289,5360,5427,5500,5580,5653,5720,5803,5878,5951,6000,6089,6178,6254,6323,6420,6490,6575,6665,6750,6819,6920,7002,7091,7181,7265,7351,7443,7548,7648,7761,7859,7980,8090,8194,8311,8428,8558,8684,8810,8916,9054,9198,9358,9480,9619,9751,9905,10055,10207,10368,10521,10663,10803,10947,11103,11263,11419,11599,11748,11914,12098,12285,12450,12615,12815,13025,13222,13429,13625,13831,14049,14278,14495,14705,14927,15178,15390,15660,15934,16174,16434,16700,16972,17231,17499,17787,18056,18360,18647,18947,19243,19527,19842,20123,20441,20775,21135,21443,21763,22109,22451,22782,23170,23531,23899,24241,24631,25074,25488,25914,26338,26776,27227,27663,28123,28602,29081,29566,30036,30513,31013,31514,32026,32557,33094,33625,34164,34714,35258,35782,36314,36892,37439,38017,38588,39167,39741,40306,40872,41486,42095,42700,43355,44031,44678,45365,46041,46785,47497,48272,48957,49624,50328,51056,51884,52642,53440,54208,54995,55815,56667,57514,58422,59351,60167,61064,61984,62907,63840,64787,65701,66611,67607,68576,69560,70546,71555,72582,73656,74678,75700,76775,77880,79074,80249,81481,82672,83855,85155,86418,87715,88993,90313,91724,93147,94626,96125,97592,99086,100533,102087,103644,105294,106874,108535,110280,111948,113602,115290,116971,118747,120577,122411,124184,126004,127863,129663,131573,133427,135387,137354,139317,141279,143311,145422,147488,149565,151716,153915,156188,158444,160756,163112,165566,167928,170327,172693,175185,177735,180367,183037,185710,188508,191363,194175,197175,200093,203117,206125,209147,212235,215377,218631,221862,225379,228719,232127,235577,239111,242629,246337,250145,254029,257855,261806,265684,269690,273767,277798,282026,286192,290413,294824,299232,303799,308374,313026,317751,322503,327348,332254,337284,342215,347300,352556,357985,363401,368816,374397,380020,385845,391798,397819,403742,409768,415953,422245,428647,435003,441540
1,1,1,1,1,1,3,3,3,3,5,7,9,12,13,16,21,22,22,26,30,34,37,41,46,51,56,61,65,75,78,81,90,96,99,113,122,138,144,152,159,170,180,194,203,215,228,244,260,277,295,313,328,355,377,391,417,436,455,473,492,511,534,562,581,615,635,664,708,737,766,795,839,868,902,936,990,1023,1066,1107,1155,1198,1241,1280,1323,1370,1427,1484,1533,1587,1655,1712,1781,1850,1912,1990,2046,2117,2191,2260,2319,2399,2472,2532,2600,2671,2747,2821,2908,2973,3044,3123,3207,3288,3361,3452,3530,3623,3702,3797,3902,3992,4078,4167,4275,4382,4487,4587,4687,4792,4878,4979,5087,5191,5283,5399,5487,5588,5694,5783,5876,5975,6080,6179,6296,6418,6536,6641,6731,6841,6953,7052,7167,7292,7410,7547,7677,7767,7897,8010,8131,8267,8414,8551,8670,8802,8931,9081,9197,9331,9452,9608,9729,9893,10048,10208,10370,10537,10721,10901,11092,11275,11504,11713,11892,12084,12318,12539,12777,13033,13270,13520,13753,14007,14261,14509,14772,15065,15339,15637,15947,16240,16515,16795,17085,17355,17695,17955,18254,18552,18847,19112,19425,19782,20126,20451,20780,21131,21507,21876,22237,22613,22978,23407,23803,24204,24641,25076,25513,25932,26375,26855,27307,27775,28247,28784,29265,29746,30222,30735,31240,31757,32255,32801,33330,33848,34397,34935,35423,35969,36568,37111,37727,38313,38933,39510,40086,40668,41297,41932,42516,43139,43767,44409,45011,45637,46340,47027,47695,48438,49149,49868,50580,51301,52069,52844,53576,54341,55140,55984,56810,57637,58527,59381,60199,61040,61902,62764,63648,64558,65521,66454,67437,68395,69354,70300,71264,72279,73318,74335,75402,76482,77585,78700,79780,80891,82003,83159,84251,85449,86617,87852,89030,90189,91432,92737,94022,95294,96636,97988,99359,100756,102114,103527,104947,106345,107654,109075,110580,112086,113493,115017,116504,118067,119679,121292,122946,124635,126278,127942,129731,131509,133355,135183,137034,138958,140868,142833,144820,146911,148971,151026,153158,155324,157605,159826,162047,164353,166723,169028,171480,173989,176532,179076,181660,184254,186912,189511,192341,195137,197993,200880,203781,206624,209649,212666,215784,218889,222081,225336,228615,231954,235333,238809,242303,245888,249411,253089,256745,260588,264418,268406,272436,276481,280547,284715,288932,293169,297598,302040,306484,311121,315618,320204,324747,329365,334036,338895,343869,348876,353854,359039,364345,369568,374786,380006,385354,390767,396311,401909,407618,413294,418981,424625,430575,436645,442657,448914,455078,461255,467553,473858,480457,487167,493969,500967,508017,514962,522035,529442,536635,544055,551516,559175,566906,574804,582814,591018,599270,607560,616078,624608,633355,642389,651383,660627,669984,679396,689060,698837,708671,718507,728473,738671,749087,759538,770022,780784,791714,802684,813595,824803,836005,847445,858980,870594,882497,894658,906670,918953,931345,943862,956675,969669,982949,996353,1009790,1023315,1037210,1051303,1065430,1079914,1094643,1109490,1124470,1139583,1154848
1,1,5,6,7,8,10,12,16,16,17,18,19,25,27,31,36,40,44,55,59,64,72,80,87,94,98,105,113,122,132,144,159,170,182,198,212,224,244,253,275,294,314,335,364,387,406,424,446,477,499,523,553,579,604,634,674,705,728,754,783,818,845,875,903,932,966,994,1023,1062,1097,1135,1181,1223,1268,1317,1359,1413,1455,1511,1571,1629,1696,1758,1823,1897,1959,2030,2107,2193,2269,2353,2425,2531,2601,2683,2780,2865,2959,3054,3130,3199,3274,3359,3446,3539,3615,3707,3791,3864,3953,4053,4155,4254,4354,4440,4541,4640,4730,4835,4933,5053,5158,5287,5385,5521,5629,5731,5821,5934,6068,6194,6330,6473,6597,6721,6827,6938,7053,7168,7293,7417,7543,7680,7822,7969,8089,8217,8366,8511,8661,8826,8970,9104,9234,9369,9514,9641,9797,9969,10132,10314,10499,10693,10866,11027,11192,11394,11611,11773,11962,12186,12413,12603,12796,12992,13218,13432,13652,13866,14085,14325,14556,14785,15056,15297,15559,15834,16090,16339,16609,16856,17100,17352,17646,17939,18213,18546,18838,19118,19422,19707,20038,20363,20697,21027,21377,21735,22081,22457,22807,23135,23500,23868,24266,24603,24984,25375,25790,26168,26555,26995,27370,27769,28189,28638,29070,29540,29968,30424,30852,31306,31754,32225,32700,33166,33655,34170,34690,35183,35733,36260,36841,37395,37971,38530,39104,39659,40223,40865,41522,42148,42857,43491,44198,44889,45520,46207,46903,47585,48298,49022,49761,50539,51331,52111,52852,53659,54509,55376,56245,57126,57994,58905,59778,60681,61554,62493,63408,64319,65275,66265,67268,68224,69198,70181,71224,72260,73285,74286,75340,76446,77568,78691,79891,81113,82289,83447,84644,85855,87169,88455,89724,91023,92356,93683,95064,96444,97788,99257,100646,102057,103543,105094,106597,108161,109697,111300,112786,114306,115877,117527,119138,120812,122518,124266,126025,127730,129447,131157,132931,134709,136489,138310,140152,142065,143922,145899,147869,149918,151863,153907,155922,157997,160082,162229,164384,166601,168859,171119,173455,175869,178347,180805,183387,185997,188744,191343,194025,196818,199526,202284,205287,208291,211252,214217,217275,220226,223450,226613,229937,233174,236475,239809,243312,246747,250308,253905,257461,261064,264718,268400,272070,275765,279562,283447,287322,291191,295255,299538,303685,307840,312156,316518,320936,325381,329878,334405,339167,343943,348896,353768,358818,364026,369388,374692,379917,385409,390992,396493,402119,407882,413654,419403,425279,431294,437370,443461,449807,455951,462283,468576,474971,481410,488054,494732,501514,508309,515139,522115,529154,536103,543209,550375,557741,565170,572716,580456,588176,596010,603851,611780,619861,627984,636342,644662,652901,661292,669962,678687,687464,696495,705416,714530,723908,733279,742711,752469,762253,772194,782162,792408,802774,813196,823633,834240,844964,856050,867221,878373,889543,900949,912447,923880,935482,947495,959698,971821,984325,997020,1009582,1022520,1035412,1048513,1061865,1075417,1088877,1102499,1116385,1130343,1144479,1158814,1173312,1187856,1202659,1217767,1232925
1,1,1,1,1,3,3,5,5,5,7,7,9,13,15,15,17,19,22,27,33,37,43,46,55,61,70,80,86,97,106,116,131,144,148,159,174,183,188,195,203,212,216,227,235,241,252,262,276,291,306,320,334,343,353,365,384,408,429,449,467,486,499,517,540,560,603,633,656,686,718,746,786,826,855,902,935,971,1015,1045,1084,1129,1169,1219,1250,1294,1350,1394,1449,1507,1559,1605,1655,1700,1751,1804,1859,1922,1970,2022,2068,2134,2197,2262,2327,2402,2445,2496,2555,2600,2665,2721,2769,2827,2898,2956,3011,3078,3139,3199,3255,3316,3388,3459,3522,3600,3678,3777,3861,3969,4079,4185,4290,4365,4455,4556,4647,4746,4838,4940,5059,5152,5258,5377,5484,5597,5708,5836,5944,6055,6179,6299,6447,6592,6748,6902,7045,7194,7363,7532,7710,7868,8054,8239,8419,8624,8803,8985,9177,9386,9582,9791,10009,10214,10427,10678,10921,11145,11391,11670,11906,12150,12390,12648,12898,13187,13439,13754,14032,14318,14586,14886,15165,15452,15747,16094,16413,16731,17075,17383,17714,18072,18406,18782,19134,19448,19802,20161,20491,20863,21226,21570,21930,22312,22730,23103,23506,23912,24311,24688,25087,25497,25854,26259,26668,27097,27520,27925,28356,28792,29267,29736,30211,30681,31152,31638,32139,32670,33197,33679,34175,34755,35297,35805,36409,36968,37492,38062,38621,39224,39768,40392,41005,41627,42319,42889,43531,44220,44899,45551,46280,47008,47752,48576,49394,50159,50903,51682,52451,53268,54047,54907,55798,56677,57604,58470,59347,60240,61168,62120,63042,63984,64931,65935,66923,67904,68842,69881,70872,71881,72894,73944,75014,76110,77177,78298,79424,80555,81746,82838,84047,85292,86385,87596,88866,90113,91410,92716,94034,95414,96818,98229,99577,100995,102459,103923,105331,106771,108315,109766,111271,112896,114525,116226,117862,119466,121112,122846,124579,126440,128279,130158,132001,133829,135640,137471,139323,141328,143298,145245,147151,149098,151040,153047,155061,157085,159176,161216,163407,165571,167736,169947,172177,174469,176771,179044,181341,183657,186005,188382,190818,193287,195742,198202,200724,203325,205860,208507,211081,213661,216323,219113,221806,224611,227414,230249,233025,235947,238933,241941,244920,248049,251108,254178,257383,260580,263900,267150,270551,274030,277576,281030,284622,288266,291920,295663,299446,303329,307166,311075,315172,319236,323478,327625,331901,336178,340389,344876,349377,353903,358484,363172,367934,372772,377744,382785,387829,392967,398033,403195,408503,413837,419336,424700,430383,436159,441926,447693,453682,459754,465815,471926,478187,484528,490977,497445,503981,510603,517242,524021,530937,537880,544990,551947,559038,566306,573611,581001,588661,596368,603989,611736,619636,627848,635970,644082,652321,660709,669245,677785,686672,695521,704490,713687,722938,732218,741569,751110,760799,770707,780542,790689,801061,811582,822131,832848,843604,854588,865746,877004,888434,899807,911470,923399,935325,947481,959770,972147,984570,997268,1010102,1022993,1036060,1049306,1062804,1076452,1090150
1,1,2,2,3,3,4,4,4,6,9,10,11,13,17,19,22,27,30,33,37,44,50,57,62,72,80,86,89,99,106,118,128,137,148,155,166,173,181,189,199,204,213,221,224,229,237,242,251,258,262,265,269,270,274,277,278,280,283,286,288,292,297,297,298,300,302,303,304,305,309,310,314,315,315,315,315,316,317,318,318,320,320,320,322,325,325,325,325,327,327,328,331,332,337,338,340,340,342,344,345,350,355,359,364,367,369,376,385,394,401,405,408,414,421,425,430,439,447,461,470,480,490,502,509,511,521,530,538,547,557,560,567,573,577,583,586,592,599,605,608,611,616,620,623,629,632,636,639,645,648,657,663,672,675,679,685,688,690,696,703,714,735,746,753,758,769,782,793,807,815,823,839,851,868,890,899,907,915,934,950,962,976,990,1018,1040,1061,1082,1101,1120,1137,1152,1172,1194,1216,1246,1276,1305,1331,1367,1395,1437,1474,1512,1548,1583,1629,1678,1728,1789,1840,1890,1936,1982,2043,2104,2156,2200,2247,2287,2341,2380,2429,2471,2535,2590,2636,2698,2755,2817,2883,2962,3024,3108,3174,3256,3325,3409,3510,3600,3674,3756,3851,3939,4046,4159,4245,4354,4489,4594,4699,4829,4956,5102,5239,5382,5522,5663,5821,5945,6106,6239,6421,6563,6717,6853,7003,7152,7328,7495,7660,7800,7967,8130,8294,8431,8605,8786,8956,9124,9326,9529,9728,9926,10112,10298,10520,10752,10992,11238,11477,11751,12029,12301,12584,12859,13136,13445,13733,14006,14300,14618,14920,15226,15573,15879,16187,16503,16827,17146,17472,17797,18126,18448,18813,19184,19535,19881,20254,20629,20997,21397,21788,22188,22599,23024,23461,23881,24318,24747,25220,25665,26172,26630,27129,27636,28141,28675,29177,29744,30322,30902,31497,32085,32650,33299,33929,34550,35196,35840,36418,37046,37703,38339,38976,39667,40346,41019,41677,42369,43036,43709,44437,45119,45826,46478,47169,47865,48546,49238,49896,50632,51331,52043,52776,53441,54139,54856,55564,56327,57073,57814,58529,59295,60094,60893,61695,62530,63359,64197,65076,65964,66885,67754,68708,69610,70522,71494,72450,73463,74453,75452,76470,77553,78572,79551,80583,81661,82719,83747,84820,85873,86993,88120,89309,90405,91537,92670,93829,95063,96294,97490,98661,99862,101126,102416,103766,105090,106476,107799,109197,110599,111996,113469,114864,116293,117739,119308,120799,122322,123971,125622,127219,128818,130533,132172,133918,135588,137314,139039,140822,142588,144367,146286,148223,150078,151987,153910,155877,157859,159834,161897,164013,166063,168191,170311,172495,174661,176856,179050,181366,183718,186071,188422,190784,193135,195495,197947,200522,203024,205537,208171,210721,213376,216065,218747,221471,224277,227059,229818,232693,235577,238648,241622,244606,247792,250906
1,1,1,1,1,1,1,7,10,13,15,16,18,23,25,28,33,38,46,55,64,70,74,80,92,100,109,117,122,130,141,148,157,166,174,180,186,198,202,207,217,221,227,234,238,245,250,256,267,270,275,278,284,284,288,292,295,296,300,305,309,313,317,322,327,333,335,342,348,355,366,375,380,382,395,405,421,433,446,457,471,491,515,538,567,589,617,646,663,695,725,746,776,799,826,858,887,917,944,982,1020,1050,1087,1113,1150,1182,1203,1228,1266,1299,1338,1384,1424,1463,1503,1548,1598,1633,1676,1727,1774,1808,1856,1900,1948,1996,2065,2112,2176,2265,2350,2422,2502,2580,2649,2727,2823,2934,3018,3110,3206,3308,3389,3489,3600,3700,3822,3946,4073,4190,4309,4430,4539,4685,4810,4951,5080,5216,5343,5485,5619,5766,5926,6069,6209,6348,6507,6634,6791,6952,7118,7251,7413,7562,7716,7882,8053,8224,8400,8589,8770,8955,9170,9375,9566,9783,10003,10243,10466,10707,10930,11152,11389,11658,11903,12161,12433,12688,12953,13199,13468,13758,14053,14331,14625,14898,15175,15478,15770,16053,16345,16639,16954,17269,17591,17929,18254,18615,18963,19302,19706,20061,20455,20857,21262,21662,22073,22481,22836,23203,23615,24024,24458,24851,25254,25661,26047,26442,26867,27292,27694,28120,28552,28997,29429,29833,30224,30644,31075,31499,31962,32426,32900,33364,33847,34291,34786,35260,35764,36250,36743,37266,37780,38337,38883,39403,39943,40451,41018,41560,42109,42731,43277,43860,44455,45071,45639,46244,46856,47467,48121,48773,49438,50113,50727,51478,52162,52881,53619,54303,55053,55816,56570,57333,58099,58874,59718,60520,61368,62165,63043,63875,64730,65695,66533,67426,68357,69249,70142,71042,71939,72927,73943,74894,75821,76726,77739,78766,79809,80841,81860,82879,83950,85021,86082,87222,88306,89339,90444,91568,92691,93806,95000,96165,97401,98605,99835,101061,102319,103616,104863,106172,107499,108802,110137,111488,112859,114265,115660,117174,118692,120160,121599,123172,124688,126290,127848,129488,131149,132775,134468,136195,137864,139557,141287,143082,144821,146589,148331,150195,152086,153976,155896,157795,159720,161735,163779,165719,167752,169866,171938,174040,176204,178306,180560,182742,185002,187248,189542,191900,194244,196577,198997,201468,204008,206555,209209,211944,214558,217315,220051,222770,225573,228418,231292,234238,237274,240426,243469,246569,249664,252943,256191,259506,262832,266171,269641,273197,276728,280299,283893,287553,291240,294947,298677,302539,306334,310202,314144,318249,322270,326495,330764,335012,339369,343757,348269,352703,357287,361899,366539,371216,375898,380725,385625,390645,395610,400591,405729,410846,416148,421468,426861,432312,437698,443400,449016,454804,460748,466796,472808,478857,484981,491329,497720,504232,510691,517264,523932,530571,537415,544295,551288,558222,565316,572648,580003,587382,594860,602355,609978,617708,625487,633587,641429,649369,657448,665661,673844,682023,690492,699007,707530,716175,724998,733920,743024
1,1,1,1,1,2,2,4,4,10,10,12,12,15,16,19,24,26,32,36,43,50,59,62,69,84,89,98,108,119,126,142,155,165,177,187,195,204,220,232,243,251,262,271,279,288,297,304,307,315,326,332,340,344,356,366,379,386,391,398,410,415,423,443,452,465,476,486,497,513,525,534,542,550,559,576,593,609,629,642,661,679,694,714,727,752,776,793,821,847,875,900,930,947,972,992,1024,1056,1099,1121,1161,1198,1229,1251,1285,1321,1357,1404,1443,1475,1515,1551,1586,1632,1684,1718,1755,1791,1836,1876,1919,1954,1988,2031,2082,2116,2153,2186,2227,2255,2288,2331,2361,2390,2415,2444,2469,2504,2537,2560,2593,2612,2639,2655,2677,2704,2728,2742,2762,2777,2793,2806,2826,2843,2861,2878,2897,2922,2941,2965,2989,3002,3017,3036,3051,3067,3082,3104,3125,3141,3163,3189,3204,3222,3238,3257,3272,3290,3308,3328,3342,3360,3380,3395,3412,3425,3433,3447,3457,3466,3481,3492,3504,3516,3531,3542,3552,3562,3569,3582,3591,3598,3605,3614,3621,3631,3640,3652,3666,3678,3690,3709,3721,3730,3742,3751,3766,3780,3793,3806,3824,3839,3854,3865,3876,3883,3898,3917,3927,3941,3952,3967,3976,3992,3998,4006,4018,4028,4038,4049,4065,4075,4080,4091,4095,4106,4117,4132,4147,4162,4172,4184,4200,4206,4212,4216,4223,4233,4243,4256,4264,4274,4288,4302,4312,4322,4335,4358,4370,4386,4398,4409,4419,4436,4455,4472,4495,4510,4519,4538,4564,4580,4603,4625,4649,4667,4680,4695,4711,4743,4763,4787,4802,4818,4839,4867,4903,4928,4945,4968,4986,5010,5033,5062,5089,5125,5148,5186,5217,5248,5274,5300,5336,5379,5412,5444,5476,5512,5537,5576,5622,5667,5708,5753,5796,5840,5881,5935,5988,6029,6087,6135,6185,6238,6303,6348,6401,6456,6519,6567,6621,6671,6721,6779,6825,6874,6916,6943,6990,7044,7097,7138,7177,7224,7263,7311,7357,7403,7464,7526,7585,7637,7692,7745,7799,7856,7908,7962,8025,8080,8142,8211,8279,8343,8409,8490,8580,8650,8722,8794,8884,8961,9047,9117,9210,9298,9373,9450,9518,9573,9650,9733,9809,9918,10003,10081,10157,10239,10329,10400,10487,10578,10671,10742,10830,10908,10988,11078,11172,11272,11383,11478,11560,11649,11755,11869,11962,12065,12174,12297,12406,12537,12651,12797,12922,13048,13185,13323,13469,13594,13724,13850,13973,14082,14220,14350,14475,14617,14744,14883,15040,15168,15287,15433,15577,15704,15835,15986,16137,16295,16436,16611,16781,16935,17101,17267,17453,17630,17798,17980,18167,18380,18564,18755,18965,19173,19411,19609,19826,20033,20287,20527,20737,20987,21219,21476,21695,21944,22176,22425,22691,22984,23257,23549,23823,24085,24373,24620,24888,25159,25429,25756,26091,26370,26653,26935,27246
1,1,1,1,4,4,4,7,9,13,16,23,29,34,38,48,53,59,65,75,87,99,102,109,115,123,132,141,156,170,179,191,197,209,221,229,236,247,253,260,271,283,296,304,318,329,336,351,364,374,385,395,410,430,451,472,491,500,511,521,531,541,552,572,590,612,624,635,650,665,682,709,729,746,774,808,832,857,880,905,927,951,974,1006,1035,1065,1102,1128,1158,1199,1229,1264,1301,1339,1376,1407,1435,1470,1503,1532,1574,1607,1652,1696,1728,1769,1819,1847,1879,1906,1957,2001,2051,2109,2150,2199,2235,2292,2348,2403,2454,2514,2565,2625,2682,2736,2807,2888,2964,3033,3122,3223,3302,3408,3525,3641,3755,3864,3965,4091,4212,4319,4440,4567,4703,4831,4975,5113,5251,5392,5521,5666,5793,5934,6082,6238,6416,6585,6739,6905,7057,7235,7400,7558,7717,7904,8095,8272,8456,8654,8831,9001,9176,9361,9540,9727,9902,10070,10228,10433,10644,10857,11046,11246,11442,11632,11819,12045,12265,12476,12662,12871,13074,13290,13491,13709,13966,14168,14396,14629,14879,15144,15427,15687,15943,16219,16474,16766,17071,17383,17681,18001,18304,18633,18981,19316,19665,20041,20364,20695,21007,21384,21764,22085,22394,22736,23072,23438,23781,24134,24479,24822,25170,25528,25886,26270,26650,27046,27417,27817,28189,28592,29013,29416,29841,30230,30647,31048,31478,31872,32322,32781,33257,33687,34135,34590,35103,35605,36134,36672,37187,37699,38202,38704,39196,39752,40315,40862,41479,42063,42661,43240,43828,44470,45059,45683,46269,46915,47522,48127,48804,49432,50112,50778,51468,52215,52900,53639,54323,55057,55803,56577,57393,58171,58983,59836,60598,61399,62203,63022,63943,64811,65674,66569,67490,68483,69415,70338,71366,72342,73350,74367,75448,76449,77599,78726,79905,81113,82340,83601,84839,86191,87507,88894,90326,91701,93095,94591,96071,97564,99112,100741,102293,103902,105573,107305,108988,110803,112552,114310,116206,118005,119935,121869,123771,125790,127808,129827,131817,134002,136185,138316,140439,142574,144703,146866,149100,151354,153660,155906,158308,160685,163137,165531,168116,170753,173322,175993,178756,181437,184149,186979,189952,192843,195847,198858,201945,205009,208095,211152,214273,217523,220739,224122,227479,230827,234351,237931,241476,245012,248646,252361,256186,259901,263677,267502,271472,275376,279442,283588,287676,291911,296150,300388,304745,309071,313396,317883,322366,327084,331685,336295,340876,345838,350631,355343,360290,365306,370330,375246,380351,385637,390835,396151,401494,406825,412382,417944,423502,429134,435071,441034,447112,453115,459339,465624,471940,478507,485034,491656,498309,505163,512059,519174,526425,533647,541107,548666,556159,563861,571686,579622,587592,595868,604081,612352,620993,629687,638360,647170,656157,665171,674154,683373,692888,702504,712293,722042,732060,742183,752341,762687,773336,784061,794723,805833,816953,828348,839717,851433,863009,874933,886818,898772,910970,923227,935653,948401,961232,974330,987766,1001144,1014488,1028034,1041577,1055401,1069399
1,1,1,1,1,2,6,7,7,7,8,8,9,10,11,15,15,16,19,19,23,28,30,36,40,43,49,59,65,69,75,89,98,106,114,122,129,140,154,167,180,191,203,219,231,244,252,268,280,286,293,313,329,339,357,369,390,404,423,437,445,462,477,499,519,538,549,567,596,625,651,671,696,719,745,776,793,829,851,882,914,955,985,1019,1052,1082,1118,1152,1189,1236,1276,1321,1367,1410,1462,1529,1587,1652,1718,1794,1849,1911,1974,2053,2120,2204,2296,2383,2459,2561,2641,2730,2821,2924,3032,3146,3260,3351,3466,3578,3693,3792,3903,4012,4112,4206,4309,4415,4544,4637,4750,4848,4953,5055,5173,5271,5389,5506,5622,5725,5821,5918,6035,6138,6236,6340,6458,6564,6675,6810,6927,7026,7153,7285,7423,7558,7698,7812,7945,8069,8220,8380,8530,8673,8795,8926,9051,9216,9353,9519,9666,9803,9946,10075,10206,10371,10532,10663,10809,10924,11083,11241,11391,11546,11706,11854,12012,12162,12312,12448,12607,12769,12908,13075,13232,13377,13543,13701,13861,14025,14200,14375,14549,14716,14875,15045,15210,15409,15593,15807,16003,16198,16383,16583,16792,16997,17208,17417,17646,17847,18095,18315,18543,18783,19059,19322,19612,19901,20148,20427,20651,20937,21208,21477,21739,21995,22263,22557,22837,23123,23411,23677,23955,24259,24573,24893,25197,25499,25807,26101,26405,26736,27068,27402,27713,28046,28381,28725,29048,29365,29727,30070,30426,30771,31139,31500,31907,32280,32691,33089,33469,33857,34260,34664,35094,35550,36006,36479,36940,37395,37840,38278,38791,39277,39827,40326,40773,41279,41808,42340,42928,43492,44083,44708,45310,45905,46495,47099,47713,48349,48971,49633,50230,50848,51511,52166,52757,53426,54056,54680,55326,55950,56600,57246,57887,58501,59134,59810,60436,61099,61774,62418,63090,63763,64394,65113,65804,66567,67310,68033,68763,69451,70174,70920,71720,72561,73333,74176,75056,75948,76871,77751,78653,79576,80483,81438,82364,83282,84260,85238,86256,87280,88377,89402,90461,91526,92604,93686,94821,95960,97128,98258,99454,100617,101841,103065,104325,105598,106882,108244,109561,110887,112250,113614,115005,116465,117876,119286,120749,122195,123658,125104,126586,128015,129529,131056,132591,134171,135803,137360,138969,140602,142190,143751,145413,147032,148708,150420,152099,153913,155660,157451,159284,161059,162889,164682,166508,168400,170331,172249,174189,176130,178196,180233,182285,184383,186525,188722,190878,193124,195331,197568,199746,202028,204303,206667,209009,211408,213801,216148,218679,221132,223668,226254,228859,231383,234011,236723,239473,242229,244987,247764,250635,253626,256543,259541,262509,265575,268607,271739,274917,278058,281252,284549,287832,291098,294426,297867,301200,304664,308094,311676,315246,318831,322584,326419,330174,333888,337717,341514,345530,349590,353658,357720,361950,366101,370398,374637,378997,383368,387739,392054,396470,401105,405710,410402,415180,419867,424868,429860,434910,440004,445142,450313,455584,460878,466292
1,1,1,3,5,5,5,8,9,10,10,10,10,12,13,13,14,14,14,15,20,20,22,23,24,26,28,32,38,40,40,40,41,43,46,52,60,67,69,74,79,84,97,104,106,110,115,131,135,142,154,162,174,186,196,203,211,218,226,231,237,242,249,256,262,267,271,277,278,282,292,298,304,310,316,321,328,335,340,348,360,367,396,406,415,424,438,451,465,478,497,514,523,542,562,571,583,599,623,643,666,687,704,730,749,768,784,800,820,839,861,881,911,928,946,969,988,1010,1024,1043,1064,1091,1117,1131,1158,1180,1201,1223,1252,1275,1300,1326,1358,1387,1411,1434,1462,1491,1525,1568,1596,1629,1659,1686,1720,1759,1799,1825,1859,1902,1935,1968,2012,2052,2092,2126,2162,2201,2247,2287,2321,2363,2405,2447,2482,2513,2545,2588,2628,2681,2719,2773,2819,2869,2909,2955,3005,3057,3106,3166,3227,3276,3329,3371,3434,3493,3553,3609,3657,3714,3766,3823,3873,3943,4006,4057,4122,4189,4268,4326,4416,4503,4595,4661,4738,4812,4898,4991,5081,5181,5303,5391,5485,5583,5700,5803,5919,6037,6142,6247,6385,6521,6662,6781,6915,7032,7168,7314,7466,7618,7751,7926,8088,8237,8406,8562,8708,8883,9084,9275,9457,9639,9838,10045,10268,10470,10684,10901,11143,11379,11604,11813,12035,12275,12511,12768,13020,13322,13599,13870,14120,14381,14669,14940,15246,15533,15851,16167,16485,16795,17111,17431,17736,18080,18443,18803,19135,19499,19853,20224,20626,21025,21425,21764,22204,22646,23052,23461,23924,24341,24782,25225,25706,26154,26606,27065,27578,28035,28521,29029,29524,30028,30543,31052,31571,32065,32622,33201,33775,34359,34930,35538,36129,36772,37368,37970,38590,39201,39903,40584,41221,41862,42597,43357,44084,44806,45563,46315,47095,47847,48653,49482,50339,51153,52017,52896,53710,54543,55386,56267,57192,58066,58994,59883,60856,61814,62794,63768,64741,65748,66839,67806,68869,69924,71013,72146,73195,74393,75487,76702,77837,79057,80279,81571,82879,84129,85438,86751,88080,89356,90630,91933,93303,94719,96070,97500,98956,100387,101906,103348,104833,106326,107909,109506,111056,112679,114336,116056,117828,119553,121297,123064,124822,126761,128715,130592,132539,134533,136419,138440,140477,142587,144709,146898,149028,151289,153557,155841,158098,160343,162677,164935,167228,169602,172042,174422,176784,179290,181793,184288,186864,189461,192020,194772,197474,200254,203095,205828,208743,211701,214626,217556,220528,223578,226666,229811,233002,236277,239619,243014,246406,249885,253413,256904,260578,264292,268091,271918,275789,279625,283577,287622,291652,295781,299890,304076,308415,312769,317199,321509,325972,330466,334962,339468,344062,348752,353457,358132,362924,367786,372692,377595,382530,387495,392512,397565,402631,407736,412976,418233,423618,429034,434517,440196,445754,451503,457263,463071,468840,474927,480991,487089,493349,499714,506156,512746,519421
1,1,1,1,1,1,2,3,4,5,6,8,9,9,13,15,17,18,20,22,23,28,38,48,54,65,71,77,85,95,104,111,121,130,134,140,149,156,166,172,180,188,193,201,211,224,238,251,267,280,299,316,331,347,362,392,416,434,452,473,495,518,539,572,599,631,660,684,709,744,768,795,818,840,873,900,920,947,975,1017,1057,1099,1133,1160,1194,1223,1257,1285,1321,1350,1382,1419,1463,1498,1535,1562,1589,1628,1662,1690,1734,1774,1800,1830,1873,1912,1960,2005,2059,2095,2138,2176,2228,2270,2322,2377,2428,2487,2549,2620,2679,2731,2784,2840,2897,2962,3035,3085,3145,3199,3262,3322,3385,3448,3523,3592,3659,3717,3773,3846,3917,3971,4032,4105,4169,4250,4315,4393,4466,4545,4612,4682,4750,4811,4874,4926,4988,5063,5127,5210,5271,5333,5385,5451,5526,5598,5680,5771,5869,5961,6046,6125,6223,6309,6420,6531,6634,6753,6863,7005,7129,7259,7390,7518,7664,7799,7943,8095,8222,8356,8517,8669,8810,8962,9120,9268,9410,9565,9726,9877,10032,10185,10329,10486,10618,10782,10920,11065,11205,11370,11537,11711,11866,12018,12191,12368,12548,12734,12923,13131,13315,13491,13692,13888,14089,14274,14499,14722,14942,15133,15362,15593,15823,16066,16288,16520,16763,16997,17242,17472,17723,17930,18180,18419,18663,18925,19186,19445,19720,19986,20258,20522,20796,21082,21361,21652,21949,22230,22529,22812,23093,23373,23686,24015,24337,24643,24993,25300,25616,25964,26311,26676,27028,27391,27773,28153,28536,28939,29325,29751,30152,30562,30957,31379,31797,32237,32697,33148,33538,33992,34439,34905,35326,35761,36217,36672,37130,37617,38081,38531,38952,39436,39916,40427,40929,41412,41932,42495,43077,43646,44200,44742,45287,45913,46504,47120,47758,48414,49102,49735,50428,51091,51841,52584,53284,54040,54811,55668,56479,57346,58236,59111,59987,60899,61836,62795,63721,64724,65753,66744,67725,68745,69753,70813,71887,73024,74114,75215,76331,77449,78559,79695,80926,82147,83397,84592,85763,86989,88217,89425,90751,92019,93303,94604,95839,97133,98431,99756,101135,102590,104009,105432,106989,108451,109917,111506,113075,114672,116285,117938,119648,121373,123004,124618,126355,128089,129812,131592,133458,135311,137253,139145,140975,142839,144788,146783,148803,150890,152900,154851,157021,159070,161214,163374,165575,167709,170011,172305,174654,176963,179399,181799,184230,186746,189278,191826,194354,196951,199586,202286,205077,207837,210649,213418,216361,219178,222183,225156,228222,231180,234232,237360,240453,243635,246889,250107,253539,256873,260337,263776,267228,270822,274418,278030,281592,285271,289082,292842,296665,300663,304721,308772,312708,316854,320968,325154,329381,333729,338116,342508,347058,351589,356299,361112,365895,370836,375716,380742,385833,390974,396180,401532,406960,412318,417848,423383,429137,435090,440993,447093,453145,459324,465509,471794,478186,484614,491122,497640,504383,511068,517853,525071,532190,539563,546763,554047,561335
1,1,1,4,5,9,11,11,13,15,15,17,18,20,28,29,36,40,42,48,55,66,76,84,93,104,114,128,139,143,154,165,174,181,189,194,202,210,215,222,227,235,242,254,260,263,271,281,286,290,296,301,314,320,326,338,349,354,364,373,385,396,411,421,436,449,456,468,473,477,490,502,516,527,533,543,556,565,576,590,602,613,627,640,647,657,666,675,693,712,729,743,763,787,808,828,846,875,888,916,932,953,979,1006,1032,1062,1083,1114,1137,1161,1190,1225,1242,1271,1292,1320,1341,1368,1391,1424,1455,1494,1522,1553,1577,1599,1640,1669,1709,1749,1792,1831,1877,1913,1956,1999,2050,2112,2179,2242,2303,2373,2444,2500,2552,2610,2688,2756,2835,2920,3001,3097,3189,3271,3349,3426,3512,3595,3678,3767,3851,3942,4024,4128,4210,4284,4380,4458,4559,4658,4777,4893,5003,5111,5219,5321,5437,5546,5658,5780,5907,6043,6164,6284,6396,6511,6653,6820,6945,7086,7235,7401,7550,7729,7887,8041,8211,8352,8530,8714,8893,9086,9289,9485,9677,9878,10066,10279,10490,10673,10866,11078,11291,11499,11709,11935,12155,12353,12611,12845,13104,13346,13601,13853,14117,14403,14666,14952,15210,15455,15706,15983,16224,16518,16799,17059,17337,17651,17901,18215,18498,18804,19107,19397,19689,19958,20214,20502,20782,21122,21421,21737,22065,22409,22766,23123,23491,23823,24193,24644,24996,25381,25745,26127,26546,26977,27391,27788,28227,28725,29206,29684,30159,30664,31136,31563,32078,32543,33105,33621,34120,34654,35187,35730,36305,36844,37401,37972,38525,39117,39726,40348,40956,41608,42226,42866,43507,44162,44838,45584,46326,47092,47850,48634,49441,50264,51078,51857,52661,53436,54188,55040,55851,56722,57527,58381,59285,60160,60990,61885,62833,63768,64706,65615,66624,67603,68550,69596,70587,71610,72651,73765,74818,75865,76983,78111,79273,80476,81648,82859,84070,85274,86627,87933,89214,90601,91918,93254,94656,96063,97567,99062,100560,102164,103797,105284,106882,108554,110172,111887,113638,115483,117324,119167,121045,122903,124840,126792,128710,130780,132808,134916,137102,139304,141434,143736,146092,148467,150852,153268,155692,158151,160691,163196,165816,168430,171158,173861,176702,179562,182409,185205,188147,191067,194130,197213,200273,203445,206567,209694,212975,216206,219597,222995,226457,229784,233276,236923,240602,244329,248125,251879,255855,259903,263917,267929,272123,276261,280410,284713,289107,293511,297986,302414,306949,311710,316461,321171,325916,330628,335478,340324,345361,350358,355368,360639,365867,371245,376551,382024,387473,392883,398370,404236,410095,416120,422136,428151,434319,440491,446694,452892,459220,465710,472119,478738,485415,492193,498986,505899,512907,520157,527378,534535,541805,549238,556755,564356,572007,579737,587738,595719,603860,612173,620567,629076,637729,646487,655517,664652,673777,683052,692655,702315,712070,722145,732161,742277,752478,762929,773238,783731,794392,805161,815910,827024,838364
1,1,1,1,1,1,1,2,4,5,6,9,10,12,17,21,25,30,32,46,53,59,66,74,79,91,96,104,112,122,127,138,146,157,164,173,182,195,202,215,222,230,237,254,265,278,289,305,322,339,350,372,386,405,422,443,461,494,517,539,560,581,602,626,655,675,702,727,752,780,801,828,852,886,914,943,980,1006,1043,1073,1098,1138,1166,1190,1222,1252,1295,1331,1362,1397,1432,1472,1514,1559,1598,1630,1664,1702,1743,1792,1830,1867,1906,1949,1995,2042,2081,2130,2181,2233,2287,2338,2379,2413,2447,2508,2556,2606,2668,2720,2767,2840,2898,2962,3028,3110,3201,3281,3358,3449,3553,3642,3744,3843,3945,4046,4158,4270,4388,4511,4641,4732,4839,4940,5060,5182,5275,5399,5545,5682,5806,5919,6054,6177,6300,6431,6541,6695,6840,6986,7134,7279,7420,7604,7771,7933,8078,8254,8415,8593,8786,8994,9203,9419,9645,9862,10054,10279,10491,10720,10945,11184,11446,11692,11942,12212,12464,12738,13000,13284,13579,13838,14142,14422,14728,15054,15369,15653,15988,16291,16588,16920,17278,17643,17998,18391,18785,19124,19523,19901,20314,20745,21138,21571,21978,22376,22799,23258,23742,24152,24567,24993,25441,25895,26339,26806,27257,27703,28158,28605,29078,29572,30032,30515,30965,31443,31908,32409,32927,33399,33890,34405,34954,35509,36041,36577,37159,37726,38290,38897,39459,40015,40563,41173,41762,42348,42933,43551,44161,44794,45404,46040,46763,47449,48161,48825,49535,50239,50994,51691,52377,53097,53853,54572,55300,56062,56792,57568,58346,59115,59891,60693,61461,62251,63081,63875,64659,65511,66393,67274,68138,69005,69861,70777,71689,72589,73492,74444,75361,76317,77280,78228,79258,80236,81270,82291,83347,84339,85442,86520,87564,88725,89857,91025,92141,93352,94555,95836,97067,98340,99620,100956,102242,103597,104882,106326,107716,109104,110483,111972,113395,114807,116331,117871,119379,120926,122531,124078,125640,127269,128927,130579,132185,133962,135636,137466,139229,140997,142776,144567,146427,148281,150275,152267,154264,156267,158324,160350,162507,164625,166760,168951,171193,173457,175716,178043,180337,182690,185015,187542,189940,192408,194914,197482,200125,202738,205399,208031,210697,213485,216255,218960,221808,224622,227539,230463,233505,236511,239712,242899,246135,249473,252722,256105,259554,262980,266467,270069,273727,277418,281096,284819,288659,292576,296608,300594,304552,308632,312640,316690,320889,325120,329502,333793,338092,342636,347055,351786,356550,361408,366219,371022,375943,380983,385882,391042,396341,401761,407151,412529,418013,423710,429383,435117,441108,447182,453335,459532,465841,472262,478829,485447,492167,498800,505733,512666,519769,526915,534067,541496,548889,556437,564159,572005,579866,587865,595999,604093,612388,620918,629431,637740,646477,655392,664292,673099,682128,691372,700726,710188,719702,729345,739218,749166,759015,768978,779188,789377,799718,810275,820835,831598,842357,853358,864465,875800,887151,898754,910373,922216,934122,946203,958379,970583,983129,995692,1008568
1,1,1,1,1,3,3,3,5,7,9,9,9,9,9,9,9,10,12,14,18,19,20,23,24,25,26,26,28,29,33,35,39,44,46,51,59,66,74,82,89,98,105,109,115,117,126,136,146,151,160,166,173,180,184,190,199,209,225,229,234,243,248,256,260,265,269,275,281,289,298,309,321,333,347,363,372,387,404,417,442,465,487,511,523,538,559,580,597,631,650,683,704,729,751,781,811,847,885,912,939,990,1025,1057,1095,1135,1178,1210,1255,1306,1348,1394,1446,1505,1545,1595,1648,1687,1740,1798,1840,1885,1933,1987,2042,2090,2140,2190,2236,2275,2330,2388,2444,2496,2537,2593,2669,2727,2780,2839,2914,2985,3056,3127,3187,3261,3339,3396,3475,3551,3637,3745,3831,3926,4019,4110,4203,4303,4402,4512,4612,4730,4843,4947,5072,5184,5308,5433,5562,5680,5798,5940,6072,6217,6341,6469,6617,6749,6891,7045,7187,7349,7487,7639,7783,7944,8067,8229,8405,8550,8704,8859,9025,9207,9370,9561,9743,9920,10096,10280,10473,10666,10875,11080,11294,11494,11755,11964,12212,12478,12741,12990,13268,13516,13807,14077,14358,14651,14935,15244,15588,15912,16243,16588,16955,17371,17770,18158,18540,18922,19308,19689,20086,20510,20886,21280,21692,22130,22572,23024,23508,23959,24435,24887,25362,25811,26286,26728,27174,27608,28045,28540,29019,29530,30063,30579,31059,31540,32073,32622,33155,33710,34207,34769,35293,35852,36368,36897,37479,38052,38653,39242,39849,40394,41021,41676,42323,42975,43687,44334,45024,45696,46367,47098,47804,48538,49238,49969,50684,51482,52348,53142,54049,54859,55703,56563,57488,58369,59290,60239,61128,62079,63076,64079,65026,66061,67112,68176,69271,70384,71446,72585,73704,74836,76004,77147,78301,79537,80798,82012,83302,84586,85926,87247,88588,89927,91314,92702,94121,95604,97118,98577,100035,101529,103016,104450,106010,107538,109079,110657,112211,113827,115460,117034,118691,120350,121979,123631,125262,127016,128663,130342,132090,133957,135821,137644,139572,141480,143472,145496,147522,149602,151837,154069,156218,158454,160678,163015,165272,167687,170152,172588,175050,177528,180020,182579,185217,187887,190638,193334,196027,198894,201679,204466,207402,210359,213207,216223,219214,222225,225336,228465,231657,234903,238140,241402,244723,248172,251495,254970,258592,262146,265737,269408,273149,276917,280701,284622,288633,292607,296690,300761,305022,309304,313638,317943,322324,326772,331238,335707,340363,345063,349818,354594,359443,364327,369217,374090,379209,384449,389716,394936,400299,405717,411316,416935,422339,427988,433745,439696,445708,451704,457868,464072,470379,476806,483380,489853,496502,503256,510236,517050,524153,531313,538609,546026,553405,560743,568284,575936,583662,591499,599455,607387,615522,623864,632066,640515,648931,657396,666127,674755,683777,692893,702049,711214,720396,729929,739476,749277,759105,769045,779125,789314,799650,809998,820429,831077,841914,852646,863574,874584,885951,897167,908660,920471,932268
1,1,1,1,1,2,4,5,7,9,11,18,22,25,30,30,30,33,36,38,41,44,49,51,58,64,70,75,78,87,90,95,100,106,114,120,126,135,141,150,159,168,175,180,190,196,205,212,225,233,242,251,263,272,283,292,303,319,335,349,366,381,395,404,418,437,461,473,481,492,510,519,528,548,571,584,614,647,668,691,716,743,776,801,832,881,930,971,1013,1056,1098,1162,1224,1282,1330,1383,1440,1505,1571,1634,1690,1757,1818,1877,1933,1990,2059,2109,2178,2234,2297,2359,2418,2479,2538,2608,2674,2734,2796,2887,2970,3034,3108,3216,3300,3383,3466,3549,3636,3726,3826,3937,4034,4165,4281,4406,4511,4643,4772,4894,5033,5167,5299,5422,5537,5658,5776,5882,6011,6138,6271,6393,6531,6683,6840,7007,7172,7366,7548,7721,7899,8065,8245,8420,8620,8821,9007,9203,9412,9643,9871,10080,10298,10540,10758,10996,11222,11456,11695,11909,12121,12314,12545,12781,13014,13252,13479,13701,13946,14184,14447,14696,14947,15161,15408,15677,15924,16221,16535,16807,17099,17375,17671,17971,18290,18604,18908,19181,19467,19761,20086,20403,20708,21047,21342,21681,22024,22350,22693,23047,23406,23724,24079,24481,24867,25240,25583,25955,26322,26704,27098,27481,27861,28250,28670,29072,29470,29919,30317,30789,31253,31727,32194,32690,33175,33713,34183,34682,35199,35697,36228,36781,37323,37910,38479,39048,39639,40234,40821,41454,42038,42611,43252,43883,44507,45192,45844,46502,47216,47896,48637,49299,50009,50765,51497,52198,52948,53732,54498,55223,55971,56785,57583,58417,59292,60181,61110,62070,62975,63923,64849,65836,66814,67747,68821,69857,70830,71849,72949,74037,75170,76303,77438,78656,79859,81090,82314,83545,84804,86067,87342,88700,90059,91392,92793,94177,95595,97014,98420,99794,101286,102800,104210,105669,107141,108602,110114,111694,113292,114824,116433,117969,119514,121197,122859,124515,126192,127942,129616,131448,133200,134954,136781,138633,140543,142411,144295,146279,148239,150348,152368,154500,156603,158749,160976,163188,165409,167670,169943,172221,174543,176928,179317,181819,184369,186836,189302,191930,194395,196981,199496,202133,204866,207551,210323,213035,215804,218638,221416,224222,227144,230198,233141,236060,239188,242323,245445,248599,251817,255090,258385,261687,265017,268457,272043,275533,279068,282687,286416,290204,294113,297997,301985,306093,310158,314266,318550,322830,327159,331398,335601,339948,344283,348913,353468,358159,362921,367766,372470,377384,382257,387107,392222,397263,402365,407549,412859,418258,423758,429191,434653,440246,445857,451689,457558,463307,469414,475590,481746,487939,494141,500526,507086,513610,520393,527298,534269,541292,548189,555151,562394,569743,577088,584669,592038,599623,607303,615106,623046,631076,639198,647324,655632,663935,672496,681150,689802,698555,707311,716206,725374,734614,743815,753359,762873,772473,782220,792038,801797,811955,822236,832501,842858,853160,863512,874169,884907,895734,906750,917732,929025,940328,951736,963414,975238,987187,999291
1,1,1,1,3,3,3,3,5,7,12,14,15,17,19,20,23,27,33,42,45,53,57,64,68,76,85,96,102,110,115,123,136,148,159,174,190,209,230,247,265,286,313,328,346,363,389,419,446,469,502,534,558,597,628,657,689,731,775,813,865,912,957,1005,1039,1081,1134,1182,1236,1276,1338,1396,1458,1511,1579,1640,1702,1760,1824,1898,1971,2036,2126,2202,2281,2372,2443,2541,2633,2718,2805,2903,3010,3101,3198,3282,3392,3490,3607,3705,3803,3915,4014,4109,4221,4340,4440,4547,4674,4785,4894,5005,5098,5220,5336,5482,5588,5711,5829,5951,6074,6205,6338,6455,6573,6688,6819,6954,7069,7209,7350,7488,7619,7726,7863,8014,8149,8293,8467,8650,8846,9005,9182,9324,9500,9675,9846,10053,10270,10464,10660,10860,11039,11242,11460,11684,11909,12148,12419,12705,13020,13273,13533,13810,14101,14400,14699,15031,15335,15657,15975,16318,16654,17044,17400,17799,18194,18576,18945,19346,19751,20150,20578,20986,21441,21868,22335,22792,23281,23786,24319,24787,25315,25790,26275,26804,27303,27833,28344,28885,29432,29952,30512,31068,31643,32228,32811,33412,34012,34642,35305,35960,36638,37294,37977,38630,39353,40011,40738,41499,42263,43084,43904,44737,45575,46426,47311,48207,49169,50088,50995,51982,52939,53912,54864,55846,56893,57890,58935,59927,60985,62038,63072,64191,65278,66382,67461,68549,69703,70840,72009,73141,74354,75554,76756,77999,79235,80439,81719,82953,84313,85649,86967,88356,89711,91092,92511,93910,95287,96748,98236,99730,101281,102887,104468,106037,107668,109308,111006,112720,114511,116244,117979,119734,121522,123312,125149,126937,128740,130643,132609,134501,136336,138341,140334,142431,144547,146596,148653,150748,152888,155109,157249,159554,161881,164304,166656,169052,171509,174045,176560,179224,181852,184524,187285,190131,192955,195839,198758,201700,204718,207742,210762,213868,217057,220254,223582,226939,230212,233507,236836,240244,243711,247128,250643,254214,257830,261444,265119,268876,272601,276523,280343,284199,288216,292139,296177,300261,304433,308648,312874,317191,321516,325971,330370,334860,339479,344215,348898,353575,358361,363160,368120,373056,378023,383150,388292,393460,398718,404163,409497,415047,420688,426385,432135,437943,443813,449831,455822,461913,468140,474456,480773,487152,493739,500379,507053,513857,520657,527602,534622,541654,548965,556374,563766,571325,578959,586627,594498,602344,610359,618346,626541,635031,643275,651761,660428,669068,677865,686681,695614,704814,714104,723395,732936,742441,752053,761929,771921,782128,792347,802611,812968,823722,834298,845183,856193,867370,878333,889566,901085,912862,924765,936892,948961,961313,973685,986222,998866,1012093,1025159,1038268,1051722,1065222,1078998,1092719,1106554,1120582,1134721,1149429,1163806,1178317,1193560,1208771,1223933,1239454,1254995,1270826,1286562,1302481,1318665,1335118,1351714,1368630,1385588,1402612,1419670,1436864,1454410,1472061,1489846,1507930,1525999,1544185,1562716,1581621,1600350,1619752,1638881,1658335,1677684,1697549,1717711,1738032,1758896,1779847,1800920,1822295,1843660,1865157,1886964,1908805,1930985,1953354,1976105,1999025,2022454
1,1,1,4,4,6,7,9,10,12,14,17,20,23,32,39,44,51,60,72,80,92,102,111,121,130,138,148,156,164,176,186,199,210,220,228,239,242,245,256,264,282,296,305,308,321,330,341,356,370,380,389,410,430,443,456,476,497,524,534,556,581,604,635,663,690,723,748,786,809,843,874,898,939,973,1013,1043,1066,1100,1129,1159,1191,1227,1259,1293,1322,1353,1395,1428,1466,1492,1515,1546,1566,1593,1630,1663,1694,1721,1769,1811,1851,1898,1943,1980,2015,2062,2100,2142,2177,2223,2287,2337,2391,2441,2486,2537,2587,2650,2708,2764,2826,2881,2946,3010,3074,3124,3179,3243,3307,3376,3452,3520,3586,3675,3729,3783,3847,3919,3992,4062,4113,4186,4242,4314,4391,4455,4522,4606,4691,4763,4849,4924,4999,5074,5163,5239,5313,5383,5461,5546,5615,5699,5783,5876,5956,6018,6103,6188,6268,6368,6459,6549,6651,6749,6842,6939,7042,7159,7257,7370,7480,7610,7717,7825,7939,8062,8167,8302,8415,8557,8672,8817,8962,9087,9217,9342,9457,9602,9737,9872,10012,10148,10293,10408,10553,10694,10836,11003,11160,11324,11521,11709,11873,12032,12192,12367,12529,12686,12859,13034,13203,13387,13530,13708,13907,14143,14334,14527,14744,14936,15108,15310,15504,15717,15943,16138,16362,16570,16796,17011,17220,17447,17683,17913,18153,18414,18694,18928,19226,19488,19720,19982,20277,20578,20874,21189,21517,21850,22162,22514,22861,23199,23532,23883,24223,24539,24859,25199,25563,25938,26298,26656,27007,27388,27722,28091,28456,28838,29247,29590,29977,30324,30693,31072,31419,31791,32168,32560,32949,33364,33784,34210,34630,35037,35434,35858,36329,36722,37177,37604,38021,38482,38921,39408,39868,40370,40878,41367,41889,42457,42991,43548,44091,44657,45281,45873,46465,47062,47669,48247,48865,49495,50118,50798,51463,52138,52812,53499,54190,54916,55617,56297,57010,57757,58442,59166,59868,60640,61415,62165,62895,63648,64423,65225,66051,66876,67729,68563,69393,70278,71203,72141,73091,74022,74957,75915,76901,77851,78804,79796,80885,81970,83058,84106,85273,86412,87542,88689,89859,91059,92229,93407,94661,95909,97226,98489,99728,100988,102239,103514,104767,106090,107417,108790,110168,111561,112942,114357,115741,117246,118767,120255,121783,123393,124963,126548,128108,129733,131340,132998,134711,136455,138059,139774,141501,143201,145002,146848,148712,150549,152430,154310,156180,158117,160120,162101,164115,166211,168289,170353,172472,174574,176730,178871,181034,183228,185399,187725,189977,192297,194709,197148,199623,202095,204593,207038,209549,212033,214654,217213,219746,222466,225119,227874,230662,233443,236257,239006,241861,244669,247664,250563,253615,256697,259787,262867,266008,269238,272466,275837,279114,282530,286086,289601,293221,296763,300468,304237,308079,311805,315677,319551,323523,327403,331395,335334,339328,343310,347489,351775,356145,360437,364854,369310,373830,378360,382912,387590,392339,397026,401836,406629,411617,416622,421716,426875
1,1,1,1,3,5,5,6,6,7,9,9,11,14,16,17,17,19,24,26,32,37,39,50,55,58,64,71,82,92,101,108,129,140,153,160,171,185,200,217,233,240,254,269,277,290,303,313,327,340,353,366,380,389,404,413,427,433,441,448,465,478,490,510,523,533,544,560,576,589,601,618,636,653,676,697,727,751,767,795,831,845,869,905,929,951,978,1002,1030,1061,1083,1109,1146,1183,1211,1239,1273,1297,1332,1372,1409,1449,1492,1539,1581,1617,1673,1724,1768,1818,1874,1927,1972,2036,2099,2159,2208,2265,2350,2412,2463,2523,2589,2657,2722,2787,2862,2942,3029,3105,3186,3259,3329,3400,3484,3567,3647,3744,3830,3911,4003,4085,4164,4268,4388,4492,4610,4704,4846,4963,5085,5209,5329,5479,5606,5727,5869,6008,6153,6313,6436,6563,6713,6845,6974,7143,7283,7419,7578,7700,7839,7970,8116,8270,8419,8570,8726,8871,9044,9205,9379,9572,9751,9945,10116,10333,10515,10723,10943,11169,11401,11614,11843,12071,12300,12574,12808,13051,13275,13542,13837,14122,14369,14687,14932,15217,15482,15750,15993,16291,16592,16877,17188,17482,17767,18092,18393,18708,19036,19358,19702,20056,20399,20765,21149,21512,21885,22273,22660,23070,23480,23868,24242,24659,25102,25566,26012,26518,27007,27491,27952,28411,28908,29414,29927,30425,30925,31453,31979,32506,33094,33643,34202,34744,35284,35820,36403,36930,37465,38044,38643,39215,39770,40336,40905,41500,42123,42732,43357,44013,44649,45308,45994,46625,47284,47938,48618,49307,50117,50851,51536,52192,52942,53689,54464,55290,56095,56910,57752,58537,59326,60159,61004,61854,62711,63600,64501,65419,66317,67228,68164,69110,70086,71033,72055,73068,74100,75196,76294,77376,78509,79630,80842,82039,83254,84488,85731,86986,88244,89510,90855,92167,93492,94789,96150,97525,98933,100374,101819,103285,104764,106164,107738,109332,110881,112504,114106,115813,117392,119076,120800,122457,124141,125920,127712,129579,131428,133285,135152,137034,138902,140857,142825,144848,146779,148764,150807,152890,155034,157100,159356,161581,163824,166164,168476,170854,173282,175751,178262,180798,183395,186117,188828,191652,194460,197263,200143,203069,206060,209169,212328,215475,218641,221959,225312,228634,231902,235287,238601,242196,245821,249566,253324,257149,261016,264884,268714,272670,276477,280636,284832,289131,293527,297692,302000,306318,310812,315286,319927,324742,329462,334257,339077,343901,348926,353935,359087,364269,369567,375069,380611,386175,391689,397334,403088,409097,414995,420984,427120,433187,439399,445899,452397,458966,465781,472706,479576,486697,493850,501101,508563,515997,523329,530904,538542,546256,554172,562191,570357,578678,587059,595650,604224,612894,621726,630600,639697,648797,658102,667403,676974,686510,696281,706110,716063,725908,736050,746512,757024,767514,778128,789033,800087,811364,822648,834217,846066,858030,869940,882223,894587,907022,919642,932453,945432,958876,972174,985632,999594,1013504,1027744,1041865,1056358,1070983,1085733,1100870,1116066
1,1,1,2,4,5,5,8,11,13,18,20,24,33,36,40,45,50,54,60,74,85,97,110,124,134,142,154,162,168,174,186,197,207,220,234,249,263,274,288,303,314,328,346,359,373,388,402,415,435,461,482,510,532,560,576,600,627,662,684,700,745,773,795,822,858,885,922,954,989,1024,1046,1084,1122,1163,1200,1234,1264,1310,1354,1389,1428,1474,1511,1562,1623,1672,1717,1771,1827,1868,1927,1984,2042,2101,2145,2193,2234,2293,2347,2407,2456,2509,2562,2623,2675,2745,2819,2883,2938,2988,3054,3112,3166,3223,3279,3342,3415,3478,3556,3629,3703,3769,3826,3888,3962,4037,4108,4178,4248,4325,4407,4476,4553,4629,4704,4774,4862,4941,5027,5118,5206,5276,5390,5490,5584,5683,5789,5879,5988,6103,6228,6343,6456,6576,6696,6796,6907,7017,7137,7261,7381,7502,7609,7718,7829,7944,8068,8194,8310,8428,8530,8642,8773,8899,9019,9158,9276,9426,9576,9712,9850,9993,10138,10287,10423,10585,10739,10911,11060,11237,11414,11583,11759,11959,12136,12320,12503,12693,12874,13070,13266,13487,13688,13895,14111,14332,14549,14782,14987,15230,15467,15715,15944,16147,16397,16642,16896,17153,17389,17653,17900,18189,18429,18711,18955,19225,19501,19774,20034,20345,20638,20911,21204,21488,21771,22066,22393,22717,23049,23334,23678,24019,24380,24719,25080,25468,25855,26240,26645,27063,27489,27844,28257,28694,29146,29586,30090,30599,31095,31558,32028,32551,33048,33570,34104,34653,35204,35722,36228,36765,37309,37837,38390,38968,39569,40147,40693,41268,41851,42424,43002,43609,44190,44780,45383,46020,46647,47272,47878,48552,49245,49917,50554,51257,51998,52721,53452,54201,54916,55663,56414,57190,57929,58695,59513,60264,61074,61886,62700,63467,64315,65117,65988,66830,67724,68581,69469,70352,71282,72226,73176,74164,75111,76105,77107,78058,79073,80119,81100,82117,83151,84169,85248,86373,87484,88586,89723,90830,92016,93169,94322,95519,96768,97927,99150,100404,101679,102976,104248,105607,106928,108328,109762,111214,112610,114094,115595,117093,118608,120158,121737,123385,125005,126729,128386,130063,131865,133636,135385,137251,139128,140995,142997,145013,147080,149110,151109,153157,155241,157336,159518,161668,163907,166096,168373,170656,172967,175246,177643,180088,182501,184938,187485,190024,192591,195266,197903,200562,203251,205988,208896,211773,214692,217571,220556,223573,226561,229650,232769,235821,238889,242036,245352,248690,251874,255190,258477,261840,265285,268712,272451,276125,279718,283501,287281,291088,294890,299009,302882,306888,311074,315414,319743,324082,328497,332971,337452,342126,346799,351439,356239,361107,366017,371109,376053,381171,386292,391600,396957,402292,407656,413090,418576,424181,429827,435538,441326,447123,452940,458891,464884,470892,477020,483231,489505,495865,502367,508967,515756,522596,529404,536196,543085,550335,557581,564795,572123,579515,587104,594846,602657,610545,618480,626667,634927,643262,651825,660432,669019,677786,686547,695204,704051,713254,722340,731504
1,1,1,1,1,1,1,4,4,5,7,7,8,9,11,14,15,16,18,20,21,24,26,29,31,34,38,42,45,46,46,46,46,52,55,57,61,64,69,73,76,77,83,88,91,96,100,104,105,115,118,121,129,136,145,157,161,174,187,195,209,220,230,243,251,261,275,295,301,316,330,349,370,395,405,430,440,467,492,508,531,554,573,597,629,653,695,719,746,779,807,839,868,903,934,973,1020,1069,1112,1150,1200,1235,1275,1328,1376,1421,1469,1519,1573,1641,1696,1742,1812,1876,1953,2014,2090,2157,2219,2278,2334,2401,2471,2542,2609,2680,2745,2801,2858,2941,3035,3108,3166,3253,3332,3390,3464,3537,3606,3672,3750,3832,3929,4017,4097,4181,4256,4350,4435,4525,4616,4715,4812,4928,5040,5139,5255,5383,5498,5619,5722,5837,5975,6109,6246,6387,6524,6697,6865,7018,7170,7341,7510,7688,7866,8059,8221,8411,8612,8794,9022,9217,9416,9611,9803,10003,10186,10401,10619,10842,11071,11284,11476,11707,11938,12160,12423,12647,12887,13130,13382,13627,13906,14141,14403,14674,14955,15233,15509,15785,16065,16351,16662,16958,17288,17594,17931,18270,18606,18946,19271,19625,19995,20351,20726,21088,21465,21846,22223,22613,23023,23422,23814,24249,24687,25122,25571,25993,26438,26902,27312,27759,28258,28752,29247,29748,30234,30795,31348,31891,32447,33034,33632,34251,34871,35492,36126,36852,37558,38208,38861,39600,40321,41056,41777,42489,43271,44049,44798,45552,46398,47171,48040,48860,49681,50523,51417,52220,53042,53931,54810,55717,56673,57603,58596,59535,60569,61545,62547,63592,64625,65640,66740,67874,69060,70241,71395,72589,73813,75024,76276,77501,78806,80174,81526,82794,84164,85521,86875,88256,89653,91148,92501,93944,95467,97040,98582,100206,101774,103307,104999,106643,108305,109979,111717,113522,115350,117136,119004,120827,122756,124588,126517,128501,130533,132526,134589,136621,138770,140811,142931,145145,147326,149500,151663,153805,156040,158305,160585,162932,165310,167721,170051,172472,174932,177332,179845,182392,184957,187484,190042,192716,195389,198108,200824,203503,206229,209126,211984,214921,217782,220894,223874,226896,230083,233210,236421,239642,242850,246043,249329,252798,256292,259862,263417,267044,270706,274394,278079,281848,285725,289487,293403,297488,301514,305623,309799,313995,318247,322489,326778,331306,335817,340327,344913,349579,354339,359065,363842,368622,373662,378785,383919,389090,394441,399794,405122,410501,415916,421603,427304,433008,438827,444661,450580,456667,462863,469086,475556,481724,488152,494828,501291,508013,514881,521984,528942,536013,543282,550563,558017,565485,572976,580667,588372,596219,604086,612300,620534,628744,637026,645481,654010,662663,671428,680507,689703,698725,708098,717647,727426,737161,747072,757085,767375,777687,788267,799035,809600,820668,831770,843013,854464,866048,877785,889815,901941,914197,926543,938974,951766,964663,977379,990416,1003751,1017044,1030443,1043987,1057617,1071432,1085648,1099715,1113918,1128411,1142969,1157863,1173116
1,1,2,4,5,8,8,10,12,12,12,14,19,23,32,40,47,53,60,69,76,84,88,96,109,115,121,134,138,152,162,172,185,190,198,208,218,228,245,257,265,274,283,293,304,309,324,341,351,365,382,398,422,443,466,485,504,528,561,588,622,651,685,717,745,778,811,842,877,915,953,987,1036,1069,1100,1132,1171,1213,1244,1284,1303,1333,1366,1397,1441,1474,1505,1536,1564,1593,1626,1657,1685,1716,1756,1785,1825,1854,1889,1924,1974,2003,2048,2093,2128,2159,2217,2287,2343,2409,2481,2554,2625,2693,2768,2831,2912,3001,3080,3162,3250,3345,3430,3530,3631,3712,3818,3917,4022,4129,4242,4367,4494,4606,4721,4846,4991,5114,5248,5378,5502,5673,5832,5987,6160,6328,6507,6674,6853,7032,7220,7397,7577,7743,7971,8189,8388,8579,8782,8992,9232,9465,9680,9924,10189,10425,10676,10921,11179,11460,11744,12000,12258,12535,12803,13107,13417,13697,14026,14329,14623,14941,15257,15586,15915,16243,16594,16962,17299,17627,17965,18315,18655,18964,19284,19630,19962,20324,20663,20976,21327,21681,22034,22423,22787,23198,23556,23965,24389,24812,25230,25646,26062,26506,26939,27383,27823,28296,28714,29212,29691,30179,30673,31193,31679,32149,32613,33125,33623,34137,34660,35164,35704,36271,36789,37363,37955,38522,39096,39700,40281,40814,41376,41965,42544,43138,43747,44388,45052,45754,46379,46994,47629,48319,48969,49570,50233,50887,51611,52299,52981,53658,54403,55143,55865,56544,57302,58010,58784,59500,60255,61003,61751,62568,63345,64104,64914,65719,66545,67340,68182,69043,69914,70772,71660,72578,73483,74443,75374,76289,77245,78191,79204,80182,81216,82258,83285,84321,85338,86441,87494,88587,89724,90822,91982,93069,94234,95446,96667,97911,99088,100371,101556,102830,104145,105532,106901,108330,109800,111165,112581,113977,115478,117060,118589,120083,121746,123217,124829,126497,128192,129824,131560,133309,135132,136952,138773,140634,142463,144396,146340,148384,150320,152270,154282,156256,158330,160460,162599,164709,166881,168994,171152,173405,175604,177789,180014,182312,184690,187010,189501,191914,194246,196648,199114,201633,204311,206812,209422,212076,214797,217620,220394,223347,226212,229200,232194,235262,238455,241720,245007,248188,251625,254999,258613,262179,265898,269642,273430,277294,281056,284884,288812,292835,296865,300853,304928,309032,313266,317465,321738,326074,330441,334856,339321,343968,348554,353118,357711,362516,367355,372180,377103,381878,386846,391773,396884,401997,407062,412435,417805,423106,428516,433932,439492,444986,450494,456233,462016,467885,473816,479902,485924,492074,498245,504481,510792,517355,523645,530244,537078,543783,550624,557623,564842,571876,579205,586540,593887,601303,608846,616506,624279,632310,640381,648447,656447,664657,673211,681658,690307,699046,707884,716734,725690,734782,744166,753616,762974,772470,782216,791845,801677,811819,822045,832256,842733,853274,863918,874634,885483,896477,907441,918642,930023,941531,952845,964348,976059,987797,999936,1012053,1024259,1036913,1049528,1062354,1075033
1,1,1,2,3,5,8,9,10,11,13,14,18,19,20,26,31,37,42,48,56,65,70,79,88,97,107,117,127,132,138,152,163,171,179,191,195,210,219,227,238,244,249,258,269,279,292,306,315,333,341,354,367,382,401,425,443,465,482,507,542,561,598,619,650,674,704,732,776,822,857,892,919,946,970,1020,1055,1088,1124,1162,1204,1243,1280,1319,1353,1386,1420,1454,1505,1537,1579,1609,1641,1685,1723,1759,1796,1835,1881,1916,1955,2011,2055,2110,2168,2218,2262,2316,2376,2423,2483,2535,2608,2669,2739,2806,2879,2959,3024,3086,3170,3229,3301,3374,3442,3527,3607,3678,3762,3851,3941,4015,4098,4171,4257,4328,4406,4486,4553,4638,4724,4800,4875,4960,5059,5133,5237,5322,5411,5502,5591,5673,5771,5862,5967,6069,6154,6258,6369,6484,6597,6705,6807,6919,7048,7182,7294,7393,7509,7639,7762,7873,7990,8130,8266,8393,8505,8641,8760,8891,9033,9148,9262,9389,9498,9645,9773,9901,10018,10126,10252,10374,10492,10638,10782,10938,11054,11184,11338,11483,11666,11814,11985,12154,12339,12514,12699,12881,13065,13253,13450,13638,13821,14008,14218,14435,14625,14887,15091,15292,15538,15790,15989,16221,16445,16673,16907,17162,17393,17636,17885,18150,18390,18639,18888,19151,19403,19652,19938,20182,20455,20744,21002,21288,21551,21863,22141,22447,22731,23006,23307,23602,23923,24220,24543,24859,25201,25532,25857,26175,26494,26830,27153,27536,27873,28220,28575,28935,29291,29701,30063,30478,30897,31317,31715,32139,32567,32966,33395,33872,34323,34774,35271,35747,36231,36713,37183,37697,38202,38738,39207,39696,40171,40693,41247,41821,42344,42895,43462,44006,44507,45091,45674,46237,46840,47404,47990,48579,49166,49750,50360,50995,51595,52212,52879,53555,54271,54951,55664,56366,57084,57846,58569,59353,60135,60904,61745,62522,63305,64159,65015,65924,66771,67648,68610,69612,70548,71566,72546,73545,74564,75595,76656,77648,78709,79788,80853,81973,83183,84293,85450,86577,87727,88930,90117,91317,92551,93843,95130,96382,97670,98945,100172,101503,102838,104189,105588,106941,108285,109604,111050,112432,113879,115414,116968,118545,120071,121638,123252,124897,126531,128258,130039,131837,133664,135429,137380,139265,141161,143133,145110,147129,149063,151185,153267,155420,157627,159703,161876,164099,166297,168522,170786,173137,175508,177898,180231,182586,184959,187548,190053,192637,195242,197948,200648,203317,205959,208674,211460,214287,217125,220132,223111,226097,229157,232262,235497,238685,241812,245145,248536,251960,255410,258942,262401,266018,269638,273309,277053,280917,284606,288414,292262,296120,300062,304198,308352,312551,316695,320967,325294,329679,334044,338540,343169,347872,352546,357213,362136,367117,372201,377317,382458,387825,393172,398552,403955,409449,414806,420387,426013,431727,437636,443643,449598,455561,461679,467685,473903,480266,486735,493219,499559,506120,512684,519401,526380,533369,540264,547300,554341,561597,568951,576399,583801,591562,599277
1,1,1,1,2,3,6,7,8,9,9,9,9,10,10,13,17,20,27,30,32,39,44,52,58,69,74,81,86,98,105,114,126,138,148,157,162,173,184,191,199,204,210,220,226,231,238,249,260,271,280,288,296,305,318,326,337,341,352,365,374,389,403,414,433,445,460,476,495,510,528,542,568,587,612,621,640,659,676,698,723,749,766,785,812,829,848,861,877,903,924,946,976,994,1015,1038,1057,1081,1098,1136,1162,1192,1222,1251,1281,1306,1326,1357,1381,1408,1430,1455,1484,1510,1544,1579,1610,1634,1666,1699,1724,1758,1793,1838,1874,1906,1933,1966,1992,2034,2072,2115,2156,2198,2255,2319,2370,2434,2494,2548,2601,2668,2728,2812,2883,2967,3055,3124,3207,3302,3378,3458,3522,3604,3678,3748,3830,3917,3997,4084,4176,4273,4359,4453,4549,4650,4765,4880,4998,5113,5253,5379,5501,5623,5754,5881,6002,6133,6288,6427,6576,6732,6877,7032,7184,7329,7518,7672,7841,8005,8199,8373,8547,8784,8963,9145,9347,9558,9759,9953,10144,10343,10529,10721,10938,11130,11355,11573,11752,11955,12143,12342,12516,12720,12920,13103,13306,13528,13708,13908,14121,14317,14549,14751,14975,15211,15461,15705,15969,16192,16453,16717,16988,17250,17542,17795,18061,18365,18631,18908,19192,19460,19760,20042,20307,20551,20858,21138,21426,21724,21979,22318,22654,22959,23310,23644,23991,24335,24675,25017,25379,25738,26136,26515,26882,27306,27693,28083,28464,28869,29272,29722,30145,30596,31042,31522,32024,32500,32997,33484,33976,34462,34949,35460,35924,36397,36906,37405,37946,38446,38991,39468,39991,40490,41032,41596,42143,42627,43201,43731,44305,44888,45481,46042,46601,47152,47727,48347,49023,49673,50352,51027,51686,52433,53178,53891,54536,55309,56044,56776,57544,58308,59065,59820,60593,61447,62289,63085,63888,64747,65615,66535,67391,68299,69191,70118,71030,71913,72806,73721,74661,75623,76545,77524,78457,79447,80440,81535,82592,83651,84665,85751,86865,87968,89029,90105,91155,92251,93458,94605,95812,97046,98240,99463,100709,102042,103308,104638,106030,107395,108780,110194,111596,113022,114464,115944,117542,119115,120579,122194,123794,125461,127081,128662,130343,131985,133653,135394,137162,138931,140652,142495,144240,146084,147937,149770,151704,153649,155549,157401,159332,161293,163255,165283,167325,169413,171515,173610,175785,177959,180221,182461,184659,186893,189204,191493,193828,196221,198622,201188,203711,206309,208952,211649,214361,217123,219913,222887,225797,228755,231649,234626,237723,240809,243997,247178,250583,253853,257246,260656,264022,267330,270887,274368,277932,281595,285168,288826,292506,296288,300052,304040,308004,311992,315921,320132,324200,328441,332759,337101,341568,346061,350629,355295,360155,364982,369787,374719,379615,384700,389847,394973,400310,405631,411082,416799,422481,428062,433764,439737,445802,451763,457928,464184,470475,476824,483121,489687,496154,502761,509257,516024,522828,529726,536635,543821,550941
1,1,1,1,1,1,1,3,5,6,7,10,13,13,14,18,21,26,31,38,41,47,54,60,67,75,89,95,109,118,129,136,145,160,171,182,194,210,227,240,256,283,306,330,353,367,399,421,441,461,484,501,534,554,578,605,639,671,706,745,784,841,883,922,959,997,1044,1089,1132,1181,1234,1297,1350,1396,1439,1488,1552,1602,1672,1712,1777,1842,1911,1985,2056,2135,2210,2293,2378,2453,2531,2620,2711,2810,2906,3000,3102,3168,3241,3341,3446,3561,3644,3745,3845,3944,4036,4140,4254,4365,4488,4591,4716,4836,4961,5079,5190,5304,5420,5535,5646,5752,5864,6005,6134,6269,6408,6568,6731,6866,6997,7130,7287,7443,7589,7739,7885,8041,8186,8341,8505,8695,8850,9028,9190,9357,9510,9695,9879,10068,10256,10457,10666,10859,11055,11248,11438,11632,11825,12013,12210,12410,12635,12821,13025,13218,13417,13599,13801,14009,14218,14427,14625,14844,15060,15255,15460,15699,15916,16139,16351,16561,16782,17032,17278,17508,17782,18046,18311,18571,18868,19167,19455,19788,20095,20439,20748,21091,21396,21704,22057,22417,22769,23169,23527,23897,24316,24692,25088,25521,25884,26289,26716,27105,27502,27935,28392,28889,29320,29783,30271,30779,31275,31789,32284,32808,33315,33867,34450,34984,35545,36142,36710,37267,37899,38478,39128,39771,40385,41006,41662,42364,43061,43725,44437,45129,45839,46565,47261,47937,48675,49434,50182,50915,51656,52384,53142,53867,54682,55519,56334,57173,58013,58883,59786,60672,61603,62547,63481,64377,65306,66309,67338,68442,69458,70496,71585,72732,73788,74944,76088,77237,78396,79582,80786,81969,83137,84399,85626,86948,88206,89455,90773,92144,93510,94902,96204,97581,98976,100451,101838,103248,104717,106239,107808,109313,110836,112359,113922,115521,117051,118734,120445,122139,123861,125604,127426,129279,131087,132983,134853,136791,138761,140638,142599,144581,146676,148740,150789,152893,154965,157115,159168,161346,163525,165741,168019,170344,172699,175044,177527,179917,182385,185019,187570,190209,192801,195607,198365,201178,204029,206891,209945,212942,215999,219084,222165,225470,228836,232102,235526,239009,242463,246111,249669,253305,257102,260947,264824,268844,272835,276963,281116,285483,289749,294197,298626,303108,307681,312287,316988,321837,326730,331678,336519,341523,346570,351726,356946,362106,367504,373036,378620,384228,389927,395698,401405,407306,413326,419351,425354,431617,437837,444171,450679,457229,464014,470552,477235,484063,490947,498151,505224,512451,519911,527393,535121,542715,550497,558562,566665,574763,583143,591529,599750,608460,617283,626207,635237,644375,653783,663050,672490,681997,691643,701367,711142,721159,731187,741285,751809,762349,773003,783921,794958,806353,817635,829101,840725,852590,864560,876639,889131,901418,914038,926737,939670,952428,965417,978815,992159,1005975,1019695,1033767,1048146,1062402,1076751,1091121,1105866,1120655,1135510,1150762,1166451,1182149,1197857,1213770,1229884,1246425,1262900,1279477,1296318,1313218,1330117,1347297,1365015,1382781,1400635,1418604,1437013,1455428,1474087,1493135,1512365,1531943,1551160,1570655,1590810
1,1,1,1,3,5,8,8,11,15,16,18,22,24,29,32,35,43,46,53,57,60,69,75,85,92,98,105,118,130,140,149,156,167,172,182,191,198,211,221,236,252,267,283,294,307,323,334,350,367,379,394,412,431,452,473,489,510,535,550,573,600,619,637,658,674,692,718,736,762,779,794,815,836,847,855,872,882,903,914,927,943,965,980,999,1016,1039,1066,1091,1103,1115,1135,1167,1199,1225,1244,1264,1297,1326,1359,1406,1437,1468,1515,1562,1611,1669,1720,1770,1818,1863,1920,1970,2025,2060,2120,2172,2226,2279,2337,2388,2438,2485,2525,2578,2641,2699,2747,2791,2840,2889,2949,2986,3021,3062,3097,3148,3192,3232,3288,3329,3383,3429,3476,3524,3576,3624,3670,3725,3775,3842,3907,3963,4027,4109,4185,4288,4391,4480,4568,4638,4726,4823,4898,4993,5093,5177,5273,5367,5469,5591,5678,5782,5877,5990,6098,6192,6297,6407,6519,6624,6740,6841,6970,7099,7209,7343,7465,7596,7722,7849,7990,8121,8260,8389,8521,8674,8824,8979,9101,9236,9394,9548,9683,9825,9957,10099,10252,10395,10545,10673,10827,10984,11148,11318,11479,11628,11768,11925,12097,12294,12489,12680,12833,13013,13202,13375,13571,13769,13962,14170,14392,14607,14821,15017,15234,15467,15699,15905,16112,16338,16581,16835,17097,17339,17608,17859,18140,18386,18644,18891,19131,19392,19662,19984,20277,20580,20861,21155,21444,21756,22081,22410,22731,23060,23385,23721,24050,24385,24739,25118,25440,25789,26176,26529,26935,27290,27652,28019,28417,28798,29188,29595,29940,30304,30690,31064,31476,31872,32259,32666,33112,33534,33983,34410,34802,35212,35654,36108,36574,37047,37509,37966,38446,38939,39476,39992,40564,41089,41649,42173,42748,43339,43943,44507,45069,45663,46272,46888,47514,48105,48764,49354,50011,50674,51311,52036,52708,53425,54085,54788,55444,56159,56908,57635,58393,59151,59966,60761,61507,62285,63136,63957,64809,65667,66518,67365,68267,69217,70127,71028,71945,72875,73876,74858,75836,76880,77919,78959,79948,81044,82135,83315,84441,85618,86783,87972,89155,90346,91661,92927,94181,95520,96881,98266,99649,100996,102427,103880,105292,106792,108290,109774,111329,112874,114434,116022,117651,119297,121005,122747,124492,126239,128021,129748,131558,133405,135306,137201,139059,141004,142884,144895,146860,148874,150898,152980,155057,157169,159278,161462,163698,165960,168302,170650,173063,175546,178084,180655,183297,185967,188584,191368,194172,197042,199920,202801,205788,208875,211990,215162,218366,221612,224787,228187,231496,234861,238330,241831,245304,248884,252628,256338,260038,263821,267570,271494,275441,279443,283499,287633,291877,296066,300212,304551,308842,313191,317677,322107,326622,331171,335927,340599,345377,350287,355396,360524,365600,370747,375972,381310,386712,392142,397816,403737,409563,415300,421331,427312,433379,439344,445677,451950,458191,464794,471311,478002,484786,491683,498862,505764,512945,520280,527627,535075,542359,549966
1,1,1,2,7,7,10,10,10,10,19,24,27,28,32,35,39,44,51,62,72,80,87,100,104,113,123,136,145,158,164,175,187,198,203,211,217,234,244,249,253,267,279,290,301,307,318,333,345,361,374,385,398,416,433,442,455,467,477,485,499,520,532,546,568,578,588,607,628,646,663,688,706,728,757,780,797,822,851,873,897,937,975,1004,1041,1077,1119,1154,1202,1255,1282,1322,1367,1411,1456,1500,1539,1585,1619,1658,1702,1761,1815,1879,1921,1974,2019,2065,2119,2176,2229,2288,2339,2377,2421,2484,2549,2600,2675,2717,2776,2840,2905,2970,3018,3078,3144,3216,3268,3339,3409,3475,3550,3624,3702,3786,3861,3936,4011,4080,4169,4239,4339,4417,4516,4608,4699,4797,4879,4983,5082,5178,5282,5391,5491,5608,5734,5830,5949,6080,6210,6328,6448,6550,6664,6772,6880,6998,7119,7230,7353,7471,7576,7704,7844,7967,8068,8175,8292,8418,8519,8613,8727,8853,8961,9087,9197,9299,9414,9519,9632,9757,9866,9995,10149,10281,10414,10529,10660,10774,10906,11053,11195,11334,11465,11623,11756,11897,12030,12171,12324,12467,12608,12785,12984,13151,13321,13480,13648,13828,13996,14184,14369,14564,14754,14955,15147,15352,15561,15771,16022,16236,16470,16713,16944,17170,17424,17664,17878,18109,18328,18554,18749,18971,19167,19368,19586,19800,20034,20266,20494,20752,20978,21224,21480,21706,21936,22175,22453,22726,23008,23270,23535,23806,24080,24345,24596,24888,25160,25438,25729,26010,26307,26617,26929,27246,27539,27873,28200,28505,28826,29168,29494,29873,30245,30603,30955,31319,31683,32034,32394,32771,33145,33515,33898,34271,34635,34999,35329,35686,36075,36451,36862,37264,37672,38095,38536,38960,39357,39812,40246,40699,41153,41603,42074,42547,43052,43576,44070,44587,45122,45670,46257,46892,47514,48130,48731,49349,49989,50660,51313,51972,52665,53391,54082,54816,55559,56282,57030,57817,58561,59348,60076,60900,61644,62396,63173,63955,64755,65589,66440,67275,68131,68968,69851,70709,71605,72454,73319,74185,75091,75993,76891,77832,78810,79745,80691,81683,82690,83654,84749,85800,86803,87906,88959,89989,91005,92123,93271,94439,95621,96797,98001,99221,100464,101690,103021,104348,105637,107025,108392,109791,111228,112623,114087,115605,117144,118694,120239,121777,123369,124932,126598,128341,130033,131832,133620,135427,137273,139190,141110,143055,145042,146984,149006,150999,153047,155255,157413,159626,161829,164174,166421,168741,171099,173527,175976,178462,181064,183608,186307,188971,191640,194442,197127,199938,202856,205681,208672,211629,214636,217748,220817,223878,227035,230125,233399,236742,240135,243520,247073,250631,254275,258045,261707,265397,269248,273158,277054,281181,285315,289585,293728,298041,302321,306646,311151,315723,320417,325182,330013,334768,339535,344416,349475,354460,359630,364893,370158,375488,380816,386386,391902,397520,403138,408839,414727,420677,426673,432644,438596,444660,450823,457128,463603,470110,476680
1,1,1,1,4,5,9,9,9,9,12,22,27,28,31,37,39,42,47,52,53,60,70,78,80,92,102,114,121,134,143,152,170,174,184,195,205,222,243,262,274,290,304,327,336,357,371,384,402,414,432,448,462,483,496,512,539,563,577,597,616,630,654,671,689,714,724,746,762,790,811,834,863,882,907,931,951,966,989,1011,1039,1058,1076,1103,1137,1164,1185,1221,1266,1302,1332,1366,1412,1450,1486,1529,1576,1631,1684,1734,1784,1847,1897,1956,2008,2057,2126,2185,2239,2302,2366,2442,2519,2593,2670,2751,2828,2907,2985,3063,3152,3226,3317,3406,3501,3584,3692,3799,3905,4010,4099,4193,4300,4414,4518,4629,4735,4841,4959,5067,5169,5271,5384,5480,5602,5736,5871,5972,6076,6165,6283,6399,6514,6637,6737,6863,6971,7073,7174,7286,7387,7485,7596,7702,7802,7914,8032,8146,8268,8353,8456,8565,8674,8784,8911,9019,9146,9265,9373,9508,9652,9763,9894,10032,10174,10296,10428,10569,10694,10832,10950,11091,11241,11377,11511,11651,11785,11924,12080,12227,12373,12530,12680,12813,12946,13089,13223,13363,13520,13636,13769,13918,14051,14191,14330,14461,14583,14730,14879,15012,15150,15310,15474,15614,15761,15893,16054,16207,16373,16533,16719,16898,17059,17221,17389,17577,17741,17928,18097,18284,18485,18695,18889,19083,19258,19462,19686,19898,20104,20307,20499,20687,20900,21093,21324,21525,21773,22017,22228,22450,22706,22948,23170,23418,23668,23884,24116,24359,24605,24849,25103,25355,25625,25891,26144,26417,26700,27004,27308,27621,27963,28284,28565,28841,29161,29517,29842,30161,30485,30784,31117,31433,31777,32135,32529,32866,33213,33560,33924,34272,34649,35011,35340,35699,36062,36420,36754,37117,37439,37801,38194,38572,38959,39356,39733,40104,40502,40885,41252,41653,42073,42519,42926,43332,43777,44262,44734,45184,45630,46107,46623,47098,47631,48150,48642,49175,49703,50198,50716,51257,51843,52375,52980,53586,54171,54755,55371,55976,56583,57234,57898,58573,59232,59913,60599,61332,62035,62677,63383,64091,64807,65550,66281,67090,67864,68660,69438,70263,71087,71939,72842,73761,74588,75440,76316,77161,78079,78984,79876,80873,81836,82852,83856,84904,85898,86888,87873,88848,89947,90994,92076,93145,94273,95442,96611,97779,98978,100244,101571,102899,104192,105552,106851,108232,109608,111004,112532,114009,115615,117119,118677,120360,122103,123757,125484,127145,128921,130712,132495,134328,136216,138095,139956,141962,143972,145938,147996,150010,152057,154135,156204,158383,160505,162693,164971,167270,169590,171924,174306,176646,179125,181570,184083,186656,189214,191788,194396,197070,199785,202482,205300,208091,210879,213760,216786,219601,222560,225593,228711,231737,234879,238076,241401,244622,247891,251219,254635,257900,261376,264865,268397,272074,275717,279406,283136,286889,290652,294630,298483,302558,306808,311046,315167,319466,323754,328161,332654,337190,341722,346350,351072,355970,360895,365849,370974,375941,381056
1,1,1,5,7,10,11,11,13,13,15,20,35,42,48,54,61,67,81,91,101,114,124,131,143,154,160,171,182,195,209,224,241,255,270,287,293,302,319,331,337,354,374,387,414,434,452,475,496,518,541,568,597,627,652,676,707,730,762,800,832,864,896,924,954,981,1014,1054,1093,1123,1158,1201,1228,1269,1328,1374,1405,1461,1491,1531,1573,1617,1660,1714,1760,1807,1852,1910,1962,2023,2077,2123,2175,2230,2292,2344,2392,2442,2500,2571,2632,2686,2747,2800,2856,2922,2994,3054,3112,3172,3227,3273,3327,3382,3449,3512,3571,3631,3702,3764,3830,3872,3931,3998,4065,4141,4211,4283,4358,4424,4506,4571,4634,4704,4770,4841,4897,4971,5040,5108,5184,5267,5348,5416,5482,5542,5609,5680,5746,5808,5859,5953,6045,6115,6204,6301,6380,6489,6580,6687,6787,6872,6956,7049,7152,7246,7339,7442,7552,7648,7793,7921,8035,8144,8250,8352,8472,8582,8727,8841,8973,9095,9222,9331,9452,9590,9716,9849,9984,10112,10249,10379,10487,10613,10738,10848,10981,11150,11287,11428,11583,11731,11867,12027,12181,12342,12490,12651,12813,12980,13147,13317,13510,13704,13893,14079,14274,14466,14649,14864,15065,15255,15444,15647,15811,16002,16200,16411,16625,16823,17020,17217,17437,17643,17845,18047,18228,18446,18645,18853,19039,19255,19469,19673,19890,20109,20375,20608,20852,21109,21354,21592,21839,22088,22352,22597,22846,23135,23452,23749,24050,24366,24670,25004,25300,25618,25955,26305,26688,27035,27384,27737,28075,28469,28845,29215,29626,30003,30389,30763,31140,31528,31934,32302,32767,33167,33565,33970,34395,34816,35230,35725,36153,36613,37053,37543,37997,38491,38983,39455,39953,40468,40976,41504,42007,42507,43017,43525,44047,44616,45183,45747,46345,46941,47482,48088,48627,49174,49817,50460,51071,51732,52350,53021,53693,54349,54965,55649,56322,57017,57736,58460,59236,60003,60807,61561,62366,63190,64004,64846,65708,66569,67493,68441,69418,70431,71399,72363,73358,74369,75469,76521,77654,78736,79811,80886,82048,83186,84364,85573,86844,88121,89346,90639,91955,93266,94622,95937,97299,98713,100109,101467,102902,104349,105798,107335,108903,110427,111908,113491,115102,116752,118341,120086,121838,123548,125210,127070,128889,130714,132568,134461,136356,138228,140182,142103,144071,146098,148122,150200,152300,154389,156655,158867,161162,163509,165836,168246,170559,173017,175475,178087,180672,183216,185880,188570,191293,194066,196806,199531,202334,205243,208248,211194,214128,217290,220298,223325,226511,229712,232948,236191,239552,242974,246488,249967,253515,257107,260694,264458,268260,272202,276150,280272,284395,288494,292574,296740,301018,305364,309820,314183,318703,323440,328132,332863,337587,342407,347259,352297,357249,362355,367444,372841,378194,383592,389049,394554,400189,405820,411635,417437,423358,429384,435496,441588,447726,454063,460508,466902,473390,480207,486960,493726,500612,507512,514559,521647,528840,536244,543821,551460,559298,567095,574954,582749,590773
1,1,1,1,1,2,4,5,7,9,9,12,13,15,16,25,26,29,31,33,39,44,51,61,72,81,87,95,102,105,117,124,140,148,161,169,178,186,194,209,215,221,231,241,251,259,269,281,293,305,320,334,344,352,365,386,398,410,430,446,462,489,504,526,548,566,587,609,629,649,680,698,721,749,779,806,836,869,900,925,951,988,1035,1066,1105,1148,1189,1230,1279,1335,1369,1416,1471,1500,1547,1590,1634,1681,1736,1789,1840,1904,1949,1996,2054,2102,2164,2225,2286,2362,2417,2493,2563,2635,2699,2771,2859,2947,3029,3113,3202,3292,3394,3497,3619,3717,3834,3928,4031,4159,4275,4379,4509,4630,4758,4914,5062,5206,5332,5456,5591,5745,5880,6021,6150,6276,6428,6570,6715,6847,6988,7131,7248,7392,7571,7728,7871,8019,8179,8317,8455,8610,8758,8904,9060,9224,9388,9554,9707,9869,10026,10166,10341,10507,10677,10834,10992,11156,11339,11529,11685,11850,12009,12169,12352,12532,12731,12915,13085,13270,13460,13676,13868,14079,14269,14457,14653,14874,15068,15251,15467,15678,15864,16030,16237,16458,16661,16891,17099,17346,17581,17791,18045,18263,18496,18759,18987,19266,19544,19827,20094,20366,20649,20987,21262,21549,21832,22122,22441,22789,23123,23440,23778,24110,24467,24852,25181,25516,25868,26231,26583,26936,27291,27640,28029,28403,28811,29166,29599,30018,30395,30784,31201,31631,32055,32497,32982,33479,33931,34444,34925,35453,35993,36548,37129,37683,38225,38759,39312,39946,40563,41180,41799,42535,43173,43856,44600,45335,46058,46807,47533,48326,49141,49852,50661,51546,52365,53142,53958,54866,55724,56607,57523,58411,59325,60254,61247,62232,63287,64265,65327,66362,67406,68534,69676,70798,71949,73135,74290,75469,76780,77978,79225,80540,81841,83198,84575,85944,87417,88897,90380,91931,93299,94781,96391,97943,99549,101147,102837,104500,106248,108094,109868,111784,113647,115498,117380,119330,121326,123370,125387,127385,129487,131669,133904,136184,138463,140748,143115,145435,147818,150295,152741,155193,157687,160159,162746,165324,167924,170548,173204,175948,178569,181353,184222,186975,189858,192642,195585,198538,201422,204377,207514,210523,213632,216830,220083,223403,226763,230154,233557,237039,240572,244182,247923,251612,255264,259159,262948,266901,270965,274970,279072,283180,287506,291783,296102,300508,305014,309623,314221,318796,323515,328336,333257,338279,343437,348610,353843,359095,364433,369783,375307,380918,386624,392433,398219,404290,410309,416483,422537,428735,435089,441506,448185,454677,461305,468033,474881,481844,488789,495904,502985,510347,517754,525222,532799,540465,548157,555947,563784,571982,580148,588318,596715,605209,613829,622613,631369,640268,649358,658665,667835,677133,686601,696314,705940,715882,725807,735930,746139,756491,766891,777459,788010,798885,809854,820878,832020,843291,854780,866269,877958,889742,901653,913738,926119,938558,951118,964004,976983,990062,1003154,1016562,1030081,1043627,1057569,1071505,1085593,1099957,1114318,1129033,1143701,1158787,1173844,1188999,1204401
1,1,1,1,1,1,1,1,3,7,9,11,12,13,15,20,28,34,41,47,53,60,66,69,72,79,89,105,112,122,139,148,156,166,177,185,198,211,222,234,239,249,258,269,276,284,308,321,333,347,355,361,376,389,397,409,419,429,441,452,463,482,494,501,516,531,546,559,574,582,596,607,628,639,658,669,684,693,711,726,742,759,778,796,815,834,853,866,889,910,932,964,991,1020,1052,1080,1102,1123,1147,1169,1203,1225,1259,1295,1325,1360,1393,1428,1462,1503,1536,1577,1601,1634,1682,1730,1766,1813,1852,1901,1956,2026,2079,2129,2183,2235,2292,2353,2413,2468,2540,2618,2674,2746,2839,2916,2978,3070,3153,3235,3316,3399,3478,3562,3644,3724,3803,3898,3980,4065,4145,4229,4311,4389,4484,4563,4632,4706,4800,4891,5001,5120,5224,5323,5444,5574,5676,5795,5913,6047,6192,6317,6447,6597,6723,6858,7003,7172,7308,7454,7640,7787,7940,8097,8257,8420,8573,8760,8931,9086,9244,9401,9567,9733,9921,10092,10262,10438,10628,10828,11013,11204,11406,11623,11843,12053,12265,12507,12792,13014,13260,13493,13771,14031,14300,14559,14857,15149,15428,15712,15989,16281,16560,16837,17135,17476,17799,18110,18456,18780,19104,19434,19773,20118,20453,20827,21226,21606,22009,22387,22818,23256,23662,24081,24532,24996,25427,25871,26324,26800,27310,27785,28256,28759,29223,29718,30196,30697,31216,31722,32219,32758,33302,33814,34373,34899,35483,36031,36643,37219,37812,38436,39050,39653,40251,40895,41551,42201,42852,43535,44225,44902,45650,46364,47055,47811,48533,49281,50046,50828,51608,52354,53142,53928,54747,55557,56385,57219,58126,59037,59967,60945,61819,62677,63640,64663,65626,66611,67625,68705,69757,70776,71787,72805,73874,74967,76081,77206,78293,79442,80592,81777,82965,84195,85389,86647,87911,89179,90439,91710,93055,94368,95722,97148,98582,100069,101490,102950,104498,106006,107530,109109,110677,112291,113942,115707,117407,119192,120982,122789,124649,126596,128547,130508,132456,134515,136551,138586,140694,142947,145260,147513,149890,152296,154635,157037,159463,161991,164623,167286,169836,172445,175296,178132,180949,183890,186752,189672,192624,195598,198675,201912,205052,208195,211406,214721,218007,221347,224845,228283,231843,235449,239110,242827,246574,250379,254331,258245,262216,266385,270521,274719,279049,283325,287668,292032,296496,300951,305577,310217,314989,319830,324762,329703,334806,339798,344742,349870,355062,360138,365545,370865,376364,381791,387369,392961,398712,404411,410251,415889,421934,427992,434117,440364,446673,452925,459334,465913,472545,479315,486218,493099,500001,507030,514299,521451,528654,536120,543712,551391,559359,567363,575277,583565,591917,600161,608631,617141,625668,634495,643331,652313,661477,670673,679867,689205,698778,708360,718183,728040,737924,747974,758132,768457,778856,789622,800507,811307,822355,833473,844754,856129,867651,879471,891248,903287,915168,927364,939608,952131,964779,977289,990264,1003112,1016107,1029473,1042941
1,1,1,5,6,8,8,9,9,9,11,12,12,13,16,16,16,17,18,21,21,25,29,40,47,48,54,62,69,73,78,86,91,98,104,109,114,122,127,135,145,155,159,166,174,177,191,198,203,211,216,222,228,233,236,241,248,254,260,262,264,268,270,273,275,283,293,299,303,307,311,315,316,322,325,330,339,343,352,358,363,374,388,394,403,407,411,425,437,447,460,473,483,501,519,537,551,570,592,611,626,648,668,682,691,715,730,747,758,774,788,797,809,823,840,854,873,891,903,917,939,963,979,994,1017,1030,1054,1077,1112,1142,1178,1207,1250,1293,1335,1369,1421,1459,1493,1527,1568,1610,1654,1697,1741,1783,1821,1864,1919,1966,2018,2065,2122,2156,2193,2245,2285,2338,2392,2439,2486,2542,2597,2647,2704,2762,2816,2864,2926,2963,3009,3073,3131,3180,3243,3296,3361,3429,3492,3547,3613,3686,3744,3816,3889,3963,4030,4097,4159,4242,4333,4417,4499,4561,4634,4711,4782,4877,4982,5067,5152,5252,5364,5461,5577,5686,5800,5906,6010,6154,6267,6382,6494,6622,6760,6886,7021,7163,7309,7461,7605,7761,7907,8070,8226,8388,8564,8705,8857,9023,9170,9334,9498,9671,9815,9978,10141,10280,10447,10618,10782,10931,11103,11272,11462,11641,11806,12002,12197,12404,12616,12812,13006,13221,13406,13651,13872,14098,14314,14593,14807,15082,15338,15604,15871,16159,16430,16736,17027,17307,17611,17902,18242,18555,18863,19193,19519,19862,20190,20548,20916,21264,21619,21984,22365,22730,23139,23508,23879,24303,24710,25147,25547,25966,26393,26835,27237,27695,28148,28635,29142,29619,30120,30643,31153,31644,32190,32715,33263,33779,34317,34910,35469,36077,36680,37297,37909,38530,39138,39805,40460,41065,41729,42418,43093,43786,44496,45171,45919,46639,47350,48169,48957,49722,50536,51342,52143,52972,53806,54651,55510,56342,57208,58073,58981,59895,60740,61670,62584,63560,64590,65565,66542,67567,68566,69592,70616,71606,72656,73733,74786,75826,76945,78080,79167,80351,81546,82756,83983,85251,86450,87765,89120,90430,91720,93062,94415,95788,97196,98608,99987,101452,102918,104363,105886,107430,108989,110537,112118,113714,115284,116964,118615,120277,121997,123724,125413,127164,128885,130685,132405,134269,136065,137981,139930,141892,143832,145783,147786,149807,151743,153884,155894,158076,160298,162510,164612,166884,169152,171432,173778,176072,178498,180901,183378,185819,188417,190982,193584,196213,198879,201631,204391,207264,210160,213152,216105,219023,222073,225111,228239,231338,234605,237912,241188,244567,247917,251190,254722,258269,261784,265323,268905,272532,276224,279972,283816,287657,291604,295531,299484,303458,307574,311690,315859,320115,324509,328849,333289,337937,342619,347313,352109,356929,361836,366773,371809,377011,382146,387508,392830,398202,403692,409268,414970,420750,426614,432443,438380,444483,450656,456827,463043,469568,475941,482471,489174
1,1,1,1,1,1,2,3,4,7,8,9,15,15,17,20,20,23,24,25,27,28,29,31,34,35,41,42,44,48,55,65,72,79,87,95,102,113,125,133,146,156,164,171,184,192,200,206,217,228,232,239,251,256,265,271,277,284,294,303,310,315,325,330,336,338,346,347,351,360,369,380,381,388,402,410,421,437,448,462,482,500,519,535,552,571,592,608,627,650,680,722,749,791,818,854,880,927,963,1007,1039,1077,1121,1159,1200,1251,1308,1359,1408,1455,1516,1562,1613,1666,1721,1784,1840,1909,1980,2036,2088,2158,2226,2312,2398,2485,2586,2687,2771,2860,2952,3058,3160,3258,3380,3485,3596,3717,3827,3942,4077,4207,4333,4450,4579,4716,4862,5010,5153,5291,5438,5594,5763,5945,6107,6291,6464,6649,6849,7070,7285,7485,7705,7911,8116,8340,8521,8755,8986,9199,9430,9679,9895,10145,10394,10654,10899,11121,11381,11626,11855,12088,12327,12574,12843,13132,13420,13709,13986,14277,14552,14837,15151,15440,15741,16089,16439,16779,17136,17485,17842,18200,18554,18907,19278,19667,20061,20437,20839,21229,21669,22066,22487,22925,23340,23790,24196,24596,25020,25424,25850,26308,26751,27200,27639,28102,28591,29039,29506,29983,30455,30962,31419,31913,32468,33006,33535,34070,34609,35152,35657,36197,36759,37297,37830,38404,39056,39635,40293,40902,41565,42207,42841,43472,44107,44791,45465,46158,46838,47538,48233,49009,49754,50529,51299,52083,52870,53679,54534,55316,56127,56990,57836,58725,59593,60515,61444,62414,63339,64277,65286,66307,67324,68334,69369,70435,71529,72641,73731,74867,76022,77171,78365,79598,80830,82076,83339,84563,85823,87097,88346,89696,90982,92349,93747,95208,96645,98153,99617,101149,102673,104247,105906,107494,109072,110702,112359,113954,115657,117390,119242,121048,122857,124745,126556,128439,130446,132406,134437,136453,138456,140658,142918,145023,147210,149336,151708,154038,156402,158794,161214,163657,166218,168704,171235,173792,176418,179132,181769,184589,187316,190172,193128,196058,198879,201943,204994,208190,211357,214631,217884,221182,224569,227913,231446,234914,238405,241952,245432,249078,252783,256519,260425,264271,268253,272149,276119,280111,284429,288714,292912,297097,301503,306017,310548,314905,319564,324271,328943,333764,338633,343604,348397,353395,358579,363765,369130,374556,380027,385490,391117,396831,402522,408507,414430,420416,426525,432644,438886,445432,451994,458514,465277,472183,479125,486092,493184,500333,507566,514899,522030,529402,536913,544626,552393,560025,567783,575615,583590,591597,599840,608091,616350,624784,633427,642155,650707,659622,668530,677579,686769,695992,705435,714916,724252,733752,743434,753335,763394,773485,783536,793919,804355,814878,825681,836476,847379,858259,869723,881066,892412,903937,915746,927678,939785,951873,963846,976059,988739,1001518,1014199,1027535,1040599,1053633,1066967,1080500,1094079,1107876,1121748,1136063,1150367,1164794,1179450,1194137,1209009,1224285,1239450,1254923,1270687,1286491,1302132,1318183,1334343,1350733,1367427,1384285,1401317
1,1,2,2,5,5,6,7,7,8,8,11,12,14,16,18,21,30,32,35,40,40,40,40,46,51,57,66,69,76,87,102,110,117,121,134,145,151,165,168,178,186,197,206,214,224,234,246,252,263,275,288,299,305,310,316,330,340,357,374,389,408,423,440,455,478,497,515,547,565,584,606,623,641,661,690,722,748,775,795,818,845,869,891,913,940,968,992,1023,1046,1071,1095,1124,1157,1191,1229,1267,1298,1335,1373,1402,1438,1480,1534,1572,1617,1664,1717,1761,1811,1851,1898,1952,1998,2041,2088,2146,2189,2244,2285,2342,2388,2445,2487,2543,2594,2648,2700,2763,2816,2859,2912,2975,3048,3107,3167,3218,3281,3339,3403,3456,3516,3589,3658,3738,3801,3864,3940,3994,4049,4124,4198,4265,4355,4437,4507,4587,4659,4732,4800,4898,4985,5067,5148,5227,5327,5402,5488,5589,5686,5801,5892,6003,6108,6208,6322,6415,6543,6670,6772,6883,7020,7140,7277,7395,7533,7677,7811,7955,8088,8246,8391,8549,8707,8852,9022,9198,9371,9522,9699,9885,10071,10268,10444,10641,10837,11029,11232,11429,11634,11828,12035,12218,12407,12587,12768,12997,13173,13386,13592,13815,14024,14223,14454,14675,14915,15152,15394,15652,15894,16154,16416,16693,16941,17216,17504,17764,18038,18346,18633,18937,19244,19547,19873,20213,20533,20876,21229,21599,21954,22315,22647,23007,23394,23782,24168,24569,24954,25394,25815,26263,26731,27209,27646,28117,28619,29095,29612,30149,30631,31162,31660,32169,32704,33275,33849,34373,34909,35489,36018,36582,37119,37701,38294,38853,39441,40040,40682,41373,42006,42631,43277,43936,44626,45340,46009,46766,47451,48171,48851,49506,50280,51004,51708,52490,53178,53939,54675,55488,56259,57024,57789,58591,59372,60112,60890,61684,62530,63368,64192,65037,65896,66709,67599,68499,69397,70284,71185,72161,73115,74081,75075,76125,77097,78068,79086,80093,81204,82321,83457,84593,85744,86961,88213,89487,90727,91980,93331,94602,95965,97263,98659,99982,101371,102782,104222,105687,107241,108674,110157,111703,113252,114841,116454,118115,119730,121479,123163,124872,126708,128466,130285,132182,134115,136059,137986,139866,141821,143806,145832,147923,149968,152034,154127,156298,158479,160651,162890,165165,167468,169823,172140,174503,176871,179145,181620,184132,186676,189289,191912,194570,197291,200000,202805,205692,208561,211427,214366,217332,220364,223488,226723,229935,233297,236495,239790,243062,246471,249929,253467,256963,260545,264145,267855,271515,275404,279230,283106,286950,290895,294905,299049,303261,307472,311708,315949,320373,324731,329044,333418,337872,342468,347046,351631,356298,360920,365574,370372,375206,380072,385046,390166,395224,400290,405485,410738,416143,421545,427064,432711,438397,444013,449693,455575,461482,467402,473440,479527,485804,492065,498394,504860,511406,517931,524591,531410,538286,545230,552278,559308,566439,573637,581014,588355,595902,603516,611191,619247,627156,635105,643181,651529,659961,668313,676775,685497,694240
1,1,1,2,4,4,6,8,10,10,10,10,12,12,12,12,12,12,12,12,14,15,16,16,17,17,17,20,24,26,29,33,39,43,50,55,59,62,68,76,81,92,103,110,124,135,144,155,166,173,186,192,202,211,221,227,234,245,261,269,280,293,300,317,329,343,364,378,388,405,426,451,462,486,514,548,577,603,629,657,696,735,772,814,851,888,926,961,1000,1038,1072,1109,1157,1210,1256,1295,1334,1382,1429,1482,1533,1591,1632,1679,1729,1775,1819,1866,1914,1962,2025,2080,2137,2203,2271,2321,2380,2459,2546,2626,2705,2785,2859,2925,3012,3099,3171,3255,3344,3413,3497,3581,3673,3761,3855,3942,4033,4138,4219,4341,4414,4498,4573,4653,4720,4801,4899,4979,5070,5158,5221,5303,5386,5489,5579,5682,5756,5830,5906,5977,6074,6145,6237,6326,6415,6501,6585,6689,6776,6873,6942,7041,7146,7224,7313,7411,7522,7629,7738,7852,7984,8106,8225,8355,8475,8599,8731,8877,9014,9150,9322,9497,9651,9807,9960,10161,10328,10488,10688,10880,11113,11341,11579,11823,12065,12313,12536,12793,13060,13337,13607,13898,14147,14418,14715,14985,15280,15595,15896,16239,16546,16870,17218,17546,17872,18204,18518,18817,19158,19476,19811,20151,20453,20784,21113,21467,21817,22154,22516,22884,23209,23559,23939,24305,24655,25028,25427,25813,26185,26537,26939,27333,27733,28149,28552,28982,29357,29803,30214,30654,31104,31535,31983,32462,32908,33373,33876,34372,34837,35295,35777,36283,36785,37274,37760,38317,38877,39389,39962,40483,41023,41523,42038,42600,43144,43666,44198,44794,45385,45960,46533,47102,47755,48409,49026,49704,50330,50960,51648,52320,53056,53706,54366,55064,55792,56516,57260,58009,58811,59619,60449,61274,62044,62892,63798,64721,65618,66570,67473,68403,69366,70333,71289,72324,73306,74249,75270,76317,77392,78486,79535,80638,81735,82909,84096,85271,86463,87683,88847,90095,91325,92505,93830,95149,96451,97849,99125,100505,101915,103241,104667,106152,107603,109040,110573,112147,113660,115178,116713,118291,119850,121367,122947,124601,126174,127891,129544,131253,133036,134764,136574,138331,140076,141899,143738,145558,147543,149504,151434,153358,155305,157291,159372,161435,163542,165673,168007,170256,172509,174847,177269,179708,182107,184598,187067,189572,192141,194699,197269,199861,202608,205351,208095,210903,213884,216854,219902,222919,226067,229126,232256,235473,238814,242243,245707,249115,252579,256085,259565,263158,266854,270391,274107,277930,281821,285653,289613,293594,297584,301694,305622,309886,314070,318336,322684,327099,331837,336299,340814,345470,350160,354903,359806,364669,369676,374821,379850,385057,390265,395427,400750,406135,411632,417109,422820,428495,434268,440063,446057,452079,457972,463941,470326,476630,483049,489445,496070,502642,509401,516104,522824,529807,536870,544001,551367,558858,566379,573950,581690,589410,597384,605391,613563,621948,630305,638851,647530,656260,665058,673927,683098,692293,701809,711264,720915,730783,740794
1,1,1,1,3,5,6,8,10,11,14,14,14,14,16,19,21,22,23,26,30,31,35,42,45,48,49,52,55,60,70,79,84,89,93,98,103,110,116,126,138,149,159,166,175,180,189,195,205,211,220,225,230,239,245,252,260,263,270,278,281,285,289,297,304,312,317,320,329,338,343,351,358,361,369,381,390,394,401,413,422,439,450,468,480,500,518,524,535,547,557,571,580,588,599,611,622,631,638,645,652,660,666,674,681,685,694,703,711,715,725,729,737,750,759,766,774,783,792,802,805,813,820,826,834,835,838,843,851,862,866,870,876,884,894,903,914,924,939,967,976,995,1007,1024,1041,1053,1075,1100,1124,1152,1179,1215,1236,1257,1284,1311,1345,1370,1388,1415,1439,1467,1491,1517,1553,1573,1603,1629,1661,1691,1707,1732,1763,1793,1814,1857,1887,1920,1942,1961,1981,2010,2024,2044,2069,2094,2123,2146,2161,2187,2208,2232,2257,2280,2317,2340,2366,2393,2417,2447,2474,2498,2530,2559,2586,2627,2657,2689,2716,2745,2777,2807,2834,2874,2912,2943,2979,3018,3061,3114,3168,3209,3254,3296,3335,3379,3433,3477,3531,3577,3645,3712,3768,3845,3901,3956,4020,4085,4162,4213,4286,4341,4412,4483,4549,4620,4688,4753,4837,4898,4977,5048,5131,5228,5301,5393,5491,5595,5710,5814,5922,6015,6111,6210,6302,6419,6534,6660,6795,6928,7062,7198,7342,7491,7629,7793,7933,8081,8246,8389,8536,8693,8851,9019,9192,9361,9520,9680,9822,9975,10146,10296,10456,10630,10800,10946,11107,11243,11374,11518,11657,11794,11920,12070,12198,12326,12469,12606,12753,12933,13080,13245,13420,13595,13796,13963,14164,14367,14544,14762,14973,15194,15401,15634,15840,16086,16329,16578,16812,17051,17303,17542,17811,18064,18313,18588,18856,19139,19467,19733,19989,20305,20627,20929,21251,21562,21907,22253,22589,22884,23189,23556,23899,24223,24595,24937,25286,25653,26028,26406,26784,27171,27546,27922,28319,28747,29176,29584,29999,30383,30781,31222,31591,32034,32469,32913,33398,33851,34326,34778,35227,35707,36182,36591,37048,37537,38008,38514,39053,39581,40067,40582,41164,41695,42249,42770,43371,43942,44470,45087,45687,46244,46821,47417,48027,48655,49292,49856,50458,51109,51751,52372,53103,53777,54523,55251,56040,56765,57549,58353,59130,59921,60762,61643,62496,63398,64294,65194,66106,67032,67937,68928,69939,70942,71895,72905,73961,74991,75983,77110,78171,79224,80297,81399,82524,83650,84681,85780,86933,88064,89230,90439,91641,92906,94170,95421,96690,97914,99246,100560,101887,103288,104633,106063,107468,108894,110357,111815,113334,114859,116427,117970,119509,121126,122848,124583,126276,127950,129647,131419,133282,135127,137049,138963,140891,142838,144751,146672,148666,150714,152785,154894,156935,159061,161205,163331,165387
1,1,1,1,1,3,4,6,6,7,7,7,8,8,10,10,10,10,10,12,14,16,19,19,19,21,22,25,29,32,39,42,46,51,55,60,68,75,80,94,104,114,130,141,156,168,187,199,216,231,240,265,282,296,321,334,366,391,428,447,476,520,557,601,628,660,692,741,783,828,872,920,960,1016,1073,1123,1174,1231,1281,1337,1388,1443,1500,1563,1636,1691,1759,1819,1894,1961,2023,2088,2143,2214,2286,2348,2429,2485,2561,2630,2691,2754,2813,2881,2935,3012,3074,3138,3217,3304,3373,3480,3569,3659,3747,3848,3939,4037,4129,4269,4386,4487,4614,4752,4874,4981,5096,5217,5343,5472,5608,5756,5893,6058,6190,6351,6487,6635,6789,6948,7118,7268,7437,7608,7784,7951,8144,8319,8495,8685,8865,9026,9192,9368,9554,9715,9906,10096,10301,10480,10668,10850,11046,11256,11462,11675,11916,12137,12377,12607,12846,13073,13286,13509,13738,13963,14161,14397,14644,14893,15152,15403,15647,15911,16168,16446,16727,17002,17255,17517,17789,18088,18376,18641,18905,19213,19531,19861,20164,20450,20750,21063,21382,21707,22015,22332,22685,23064,23470,23832,24203,24567,24937,25320,25690,26093,26497,26898,27324,27745,28157,28562,28994,29489,29920,30375,30816,31256,31692,32189,32652,33155,33671,34144,34631,35133,35676,36230,36764,37314,37903,38485,39102,39717,40309,40936,41576,42210,42850,43549,44221,44974,45720,46437,47178,47966,48697,49421,50203,51019,51752,52586,53419,54252,55113,55991,56903,57864,58817,59718,60689,61644,62683,63732,64736,65777,66789,67864,68978,70079,71205,72378,73477,74623,75843,76984,78186,79464,80780,82098,83325,84521,85839,87128,88458,89816,91173,92546,93926,95474,96952,98515,100029,101555,103108,104731,106323,107986,109734,111422,113150,114909,116604,118373,120090,121943,123859,125806,127742,129740,131753,133807,135859,137991,140043,142233,144456,146668,148962,151305,153714,156110,158594,161079,163615,166097,168691,171348,174107,176748,179489,182295,185153,188129,191118,194082,197129,200259,203406,206576,209729,213081,216296,219609,222971,226390,229747,233219,236850,240438,244151,247987,251821,255600,259380,263220,267193,271254,275380,279353,283543,287784,292010,296322,300690,305206,309872,314432,319065,323807,328511,333257,338247,343267,348313,353292,358523,363828,369111,374629,380071,385649,391391,397193,402887,408770,414667,420670,426700,432940,439096,445223,451672,458191,464845,471463,478416,485300,492231,499344,506528,513735,521137,528548,536196,543864,551567,559366,567312,575349,583579,591927,600459,609095,618080,627012,636342,645594,654985,664556,674223,683983,693794,703857,714153,724524,734997,745611,756126,767166,778254,789553,800857,812233,823946,835592,847285,858881,870866,882977,895332,908017,920573,933300,946423,959371,972527,985881,999147,1012882,1026597,1040573,1054960,1069392,1083758,1098238,1113173,1128321,1143625,1159073,1174978,1190918,1206851,1223002,1239347,1256019,1272829,1289850,1307003,1324430,1341954,1360022,1378098,1396093,1414566,1433118,1451761,1470602,1489705,1508989,1528432,1547733,1567569,1587575,1607709,1628250,1649008
1,1,1,1,1,5,7,9,13,13,16,19,22,26,29,31,36,41,49,55,70,78,82,92,101,107,119,128,135,149,156,164,169,181,187,197,207,217,222,226,235,241,250,256,259,264,270,279,288,291,306,321,329,338,348,353,361,368,381,397,414,421,432,456,472,490,512,543,564,591,617,642,662,701,732,759,780,807,840,873,896,917,951,976,1005,1029,1058,1090,1112,1144,1167,1193,1219,1248,1273,1292,1315,1341,1362,1385,1402,1425,1457,1484,1513,1549,1576,1608,1635,1658,1678,1703,1732,1769,1808,1843,1872,1914,1956,2008,2065,2107,2152,2203,2248,2280,2333,2400,2458,2522,2580,2653,2715,2787,2853,2927,2993,3058,3127,3204,3283,3357,3430,3506,3569,3636,3724,3812,3913,3986,4069,4155,4234,4330,4431,4519,4617,4707,4804,4879,4986,5092,5186,5275,5373,5466,5574,5664,5756,5862,5954,6066,6171,6269,6383,6493,6610,6732,6852,6989,7104,7235,7371,7503,7628,7767,7899,8055,8176,8329,8462,8632,8767,8918,9077,9223,9376,9539,9689,9881,10047,10224,10377,10560,10735,10911,11097,11286,11483,11696,11898,12079,12288,12504,12717,12911,13124,13338,13574,13788,13995,14237,14457,14693,14935,15129,15373,15579,15800,16007,16236,16447,16665,16907,17134,17359,17590,17807,18033,18276,18530,18809,19058,19365,19644,19939,20198,20469,20744,21052,21377,21689,22030,22363,22681,22967,23311,23650,24008,24336,24672,25023,25393,25764,26138,26491,26866,27262,27639,28028,28472,28888,29305,29742,30118,30552,30990,31431,31912,32359,32787,33214,33682,34119,34572,35021,35505,36005,36499,37027,37554,38066,38580,39106,39709,40262,40838,41420,42050,42668,43320,43927,44546,45193,45838,46482,47220,47886,48553,49309,49984,50701,51440,52172,52894,53585,54305,55063,55797,56581,57359,58150,58932,59698,60478,61289,62039,62848,63625,64437,65253,66040,66900,67722,68578,69463,70325,71221,72151,73086,74081,75063,76058,77051,78108,79122,80097,81083,82072,83091,84173,85283,86414,87481,88559,89635,90728,91851,93058,94218,95401,96583,97736,98876,100112,101341,102580,103876,105183,106514,107906,109245,110614,111997,113363,114788,116247,117748,119199,120703,122187,123734,125205,126763,128308,129972,131586,133141,134659,136248,137941,139626,141437,143120,144865,146628,148426,150164,152041,153855,155663,157538,159368,161213,163051,165023,166948,168924,170872,172767,174776,176795,178781,180855,183003,185204,187323,189531,191751,194118,196382,198677,200983,203358,205711,208231,210745,213327,215913,218476,221058,223689,226339,229003,231636,234303,237119,239858,242677,245497,248426,251394,254324,257393,260307,263301,266350,269517,272649,275887,279260,282604,285963,289379,292827,296409,300109,303834,307587,311277,315114,319114,323172,327136,331295,335600,339826,344224,348717,353212,357695,362312,366995,371818,376925,381856,386974,392094,397332,402461,407719,413132,418575,423898,429431,434886,440551,446258,452070,457961,463806,469630,475444,481449,487536,493665,499819
1,1,1,1,4,5,6,6,7,8,11,14,16,19,21,24,26,30,36,39,46,50,54,59,65,66,75,84,88,97,106,113,121,130,149,160,169,173,181,193,196,205,212,224,231,243,254,266,278,280,292,299,307,316,326,336,342,360,370,382,396,407,416,431,448,462,474,487,494,502,516,530,545,555,572,579,599,605,621,635,655,669,694,719,741,759,779,795,814,829,854,883,909,936,960,991,1005,1033,1061,1095,1115,1143,1174,1205,1241,1282,1322,1350,1382,1429,1476,1522,1568,1609,1658,1701,1762,1823,1866,1929,1986,2037,2092,2143,2201,2243,2287,2352,2396,2467,2542,2611,2666,2716,2761,2833,2907,2960,3013,3082,3131,3188,3254,3324,3387,3472,3541,3604,3669,3728,3799,3859,3918,3985,4076,4156,4230,4301,4393,4477,4555,4656,4746,4847,4937,5024,5119,5217,5314,5417,5516,5622,5723,5815,5917,6018,6126,6230,6332,6441,6541,6643,6743,6842,6947,7038,7157,7270,7361,7471,7577,7670,7780,7870,7996,8131,8246,8372,8473,8577,8678,8787,8915,9039,9154,9285,9411,9576,9732,9871,10019,10156,10303,10453,10591,10733,10891,11018,11188,11345,11490,11635,11795,11954,12107,12269,12468,12651,12822,12986,13183,13375,13565,13779,13954,14160,14376,14573,14801,15049,15290,15548,15794,16047,16272,16533,16785,17041,17300,17551,17860,18152,18451,18751,19068,19384,19668,20005,20357,20710,21063,21396,21734,22084,22430,22800,23169,23547,23935,24334,24767,25170,25601,26043,26499,26900,27300,27729,28176,28630,29075,29550,30077,30568,31060,31541,32042,32608,33116,33651,34148,34679,35205,35792,36385,37006,37632,38243,38852,39454,40082,40749,41372,42001,42690,43338,43986,44643,45346,46048,46707,47406,48142,48850,49645,50397,51154,51921,52717,53560,54343,55216,56035,56872,57794,58708,59714,60673,61658,62597,63614,64587,65550,66575,67633,68639,69715,70791,71951,73076,74214,75285,76418,77543,78677,79872,80971,82078,83290,84464,85661,86793,87965,89168,90338,91579,92766,93954,95194,96467,97738,99027,100311,101601,102972,104334,105776,107220,108712,110184,111631,113124,114667,116218,117785,119437,121114,122737,124419,126113,127931,129676,131484,133294,135042,136883,138837,140752,142826,144896,146923,149082,151239,153383,155577,157817,160088,162452,164776,167159,169546,171885,174359,176859,179344,181954,184636,187293,190009,192750,195514,198276,201007,203934,206778,209719,212749,215807,218790,221984,225213,228425,231655,234919,238272,241616,244952,248282,251909,255511,259179,262859,266642,270357,274204,278026,281860,285752,289772,293840,297987,302118,306218,310488,314666,318937,323357,327699,331994,336397,340883,345400,349933,354517,359207,363985,368907,373861,378767,383775,388840,394056,399407,404581,409830,415239,420754,426265,431955,437578,443315,449156,455096,461098,467146,473162,479326,485457,491724,497892,504367,510703,517225,523803,530438,537268,544181,551086,558064,564964,572024,579118,586386,593696,601076,608663,616254
1,1,1,1,1,1,1,1,1,3,4,5,7,10,11,13,19,24,27,34,36,43,47,53,57,59,65,72,78,88,97,101,115,126,136,147,158,168,175,182,191,206,216,224,231,241,254,261,272,276,288,303,311,318,337,349,367,381,391,405,430,454,474,490,525,556,577,613,642,666,703,729,762,792,836,874,914,950,983,1026,1063,1106,1142,1181,1220,1263,1308,1357,1417,1467,1513,1561,1596,1648,1697,1751,1806,1866,1902,1947,1989,2046,2109,2175,2243,2315,2378,2455,2527,2573,2634,2704,2766,2832,2901,2964,3045,3118,3188,3264,3345,3419,3505,3598,3672,3763,3841,3921,4028,4130,4228,4345,4473,4594,4716,4835,4976,5126,5272,5428,5562,5705,5873,6046,6203,6380,6538,6682,6852,6993,7177,7339,7533,7701,7901,8077,8245,8439,8595,8794,9005,9201,9401,9614,9798,9990,10207,10424,10625,10869,11117,11329,11546,11749,12007,12250,12522,12768,12989,13257,13491,13742,13984,14225,14447,14710,14987,15274,15562,15852,16105,16392,16653,16943,17232,17525,17827,18154,18451,18769,19071,19371,19704,19998,20288,20615,20953,21287,21627,22009,22371,22770,23133,23522,23912,24286,24686,25086,25506,25916,26374,26818,27267,27712,28177,28648,29122,29632,30145,30655,31146,31658,32183,32756,33325,33916,34472,35092,35714,36381,37013,37683,38342,39051,39743,40468,41211,41918,42706,43504,44311,45131,45995,46807,47685,48594,49480,50342,51289,52226,53187,54097,55083,56045,57050,58113,59086,60087,61116,62078,63048,64076,65152,66202,67276,68340,69383,70396,71471,72574,73664,74785,75934,77035,78162,79338,80521,81674,82920,84167,85433,86723,87998,89322,90606,91954,93337,94807,96264,97680,99098,100637,102187,103752,105281,106824,108474,110054,111749,113432,115137,116871,118615,120412,122244,124134,126080,128000,129963,131848,133779,135707,137681,139672,141752,143816,145968,148103,150339,152505,154715,157006,159291,161702,164034,166399,168842,171355,173786,176319,179008,181654,184358,187142,189905,192582,195317,198181,201017,203734,206598,209570,212549,215592,218616,221684,224893,228035,231374,234730,238080,241618,245164,248632,252150,255844,259459,263286,267063,270908,274649,278441,282393,286460,290528,294666,298841,303071,307468,311820,316249,320727,325265,329822,334269,338813,343433,348081,352732,357606,362470,367357,372293,377148,382074,387052,392163,397438,402574,407972,413336,418717,424140,429639,435421,441128,446858,452723,458628,464721,470691,476881,483038,489390,495700,502165,508717,515350,522016,528815,535545,542578,549718,556741,564081,571441,578789,586566,594232,602000,609916,617969,626090,634455,642658,650993,659493,668199,677074,686018,695044,703994,713052,722238,731601,741238,750889,760853,770717,780640,790872,801196,811664,822352,832952,843591,854561,865729,876910,888041,899432,911109,922924,935135,947591,960041,972212,984862,997899,1010743,1023829,1036947,1050144,1063712,1077448,1091270,1105304,1119495,1133735,1148155,1162744,1177477,1192375,1207310,1222435,1237774,1253433,1268891,1284795,1300953,1317172,1333674,1350489,1367399,1384327,1401413,1418850
1,1,1,1,1,1,1,5,6,8,10,13,16,23,25,28,33,36,36,40,46,50,51,55,60,66,70,75,90,104,114,126,135,144,150,157,167,185,203,214,235,251,266,276,288,301,326,343,362,382,402,414,427,452,467,479,505,512,529,547,561,587,604,624,647,660,671,700,720,742,766,788,808,826,847,873,900,926,951,972,999,1023,1046,1071,1103,1131,1150,1172,1201,1230,1264,1299,1335,1372,1428,1468,1504,1541,1592,1633,1686,1741,1809,1866,1926,1984,2047,2107,2176,2250,2322,2386,2453,2538,2618,2712,2806,2882,2972,3061,3160,3244,3333,3437,3530,3606,3713,3794,3887,3994,4075,4178,4271,4379,4481,4588,4698,4815,4935,5046,5162,5276,5395,5489,5608,5719,5859,5989,6117,6260,6414,6562,6693,6848,7002,7159,7327,7505,7677,7848,8036,8237,8424,8628,8851,9040,9288,9505,9705,9927,10159,10384,10622,10855,11074,11308,11520,11780,12015,12246,12482,12711,12965,13251,13497,13749,13991,14241,14500,14728,14984,15269,15533,15814,16135,16408,16699,17011,17302,17602,17888,18202,18503,18836,19141,19452,19764,20073,20404,20758,21109,21414,21820,22209,22548,22875,23253,23649,24041,24421,24827,25262,25686,26105,26529,26988,27472,27926,28355,28798,29323,29774,30273,30767,31290,31833,32353,32843,33373,33877,34409,34947,35491,36011,36581,37134,37724,38337,38951,39589,40210,40814,41471,42115,42786,43439,44107,44797,45535,46256,47017,47787,48563,49350,50206,50972,51865,52737,53567,54406,55298,56183,57070,58013,58969,59977,60891,61871,62872,63866,64838,65843,66867,67883,68963,69981,71084,72215,73289,74402,75506,76640,77847,79035,80246,81477,82746,83959,85209,86442,87812,89148,90507,91933,93431,94827,96378,97789,99283,100820,102379,103945,105409,107025,108618,110243,111955,113628,115333,117082,118816,120658,122441,124158,125920,127816,129657,131492,133407,135285,137191,139156,141149,143271,145379,147471,149591,151646,153764,155873,158088,160316,162511,164800,167162,169472,171837,174179,176526,178914,181355,183794,186313,188812,191507,194124,196755,199456,202200,204982,207737,210642,213482,216330,219300,222228,225348,228270,231409,234545,237804,241012,244244,247556,250875,254197,257604,261071,264624,268208,271729,275412,278978,282670,286441,290247,294081,297946,301886,305907,309956,314112,318154,322496,326650,330955,335426,339827,344421,349059,353726,358526,363199,367976,372809,377776,382804,387779,392921,397997,403093,408146,413429,418922,424323,429672,435084,440738,446294,451886,457554,463417,469131,475203,481309,487475,493638,499874,506136,512533,518996,525652,532443,539192,545894,552769,559862,567060,574558,581916,589274,596895,604582,612402,620339,628407,636627,644580,652824,661157,669553,678152,686886,695807,704730,713601,722586,731641,740695,749873,759335,768776,778384,788177,798070,808057,818214,828352,838642,849107,859611,870355,881309,892083,903116,914260,925417,937006,948662,960458,972541,984457,996410,1008874,1021428,1034261,1047043,1059913,1073022,1086325,1099859,1113672,1127601,1141678,1155854,1170027,1184403
1,1,1,1,2,3,3,4,6,7,9,9,11,12,12,13,15,18,22,26,30,33,39,44,49,58,65,72,77,89,96,105,111,125,131,141,150,158,165,174,184,188,197,206,221,229,240,248,253,260,267,273,280,289,296,302,310,317,326,337,344,359,373,385,395,412,432,443,458,477,493,510,524,545,571,607,630,655,687,715,743,778,821,859,903,943,980,1030,1075,1123,1166,1214,1264,1307,1345,1393,1441,1500,1549,1604,1662,1712,1764,1823,1882,1934,1983,2043,2096,2169,2228,2290,2356,2415,2468,2538,2606,2663,2737,2807,2861,2931,2986,3061,3140,3214,3307,3391,3475,3547,3628,3703,3775,3857,3927,3994,4069,4136,4221,4323,4393,4471,4544,4623,4700,4810,4896,4999,5089,5193,5298,5417,5533,5659,5771,5897,6008,6147,6282,6389,6539,6666,6799,6950,7073,7211,7356,7500,7640,7775,7942,8104,8258,8416,8570,8749,8906,9077,9228,9402,9558,9730,9887,10046,10210,10378,10556,10697,10827,10978,11149,11336,11495,11669,11831,11999,12177,12327,12479,12642,12779,12957,13124,13266,13422,13602,13760,13942,14116,14288,14458,14614,14770,14956,15135,15324,15493,15685,15870,16048,16237,16451,16667,16884,17092,17334,17534,17755,17972,18179,18410,18649,18888,19109,19331,19552,19763,20007,20227,20490,20705,20936,21178,21429,21695,21948,22220,22475,22713,22976,23266,23521,23802,24071,24359,24653,24963,25243,25561,25879,26175,26476,26790,27156,27517,27867,28241,28611,29001,29431,29849,30273,30667,31083,31474,31897,32304,32768,33204,33634,34031,34485,34916,35368,35822,36275,36707,37147,37630,38089,38546,38977,39404,39819,40276,40746,41162,41624,42138,42649,43107,43616,44102,44577,45089,45615,46154,46711,47246,47785,48372,48936,49477,50020,50573,51184,51793,52400,53012,53656,54319,55014,55628,56274,56951,57622,58305,59033,59731,60408,61137,61895,62606,63380,64202,64932,65744,66529,67337,68120,68997,69846,70744,71603,72512,73391,74272,75184,76160,77081,78073,78976,79937,80886,81930,82923,83935,84957,85963,87038,88025,89104,90156,91198,92316,93357,94438,95551,96679,97905,99144,100364,101664,102941,104188,105445,106851,108208,109612,110931,112346,113922,115356,116909,118492,120121,121810,123471,125079,126756,128461,130319,132077,133923,135737,137640,139492,141292,143170,145054,146963,148883,150860,152828,154894,156981,159097,161211,163319,165480,167619,169784,172109,174389,176727,178977,181345,183806,186225,188675,191213,193784,196316,199006,201732,204552,207382,210195,213140,216114,219044,222040,225126,228312,231521,234788,238071,241336,244731,248235,251749,255317,258873,262436,266160,269888,273484,277236,281101,284905,288950,292911,297040,301087,305324,309740,314132,318399,322750,327289,331794,336435,341190,346099,350932,355957,361037,366230,371391,376749,382072,387497,393081,398771,404635,410585,416373,422437,428549,434637,440944,447196,453683,460301,466891,473653,480493,487353,494376,501492,508634,515947,523245,530566,538106,545726,553431
1,1,1,1,1,1,3,4,6,6,7,8,11,12,14,14,16,18,21,23,27,28,30,32,35,43,53,62,72,85,93,102,112,122,131,150,161,167,174,186,192,201,209,215,221,229,236,246,253,262,269,276,279,285,295,302,315,324,342,358,370,382,404,422,440,452,470,491,512,533,560,583,603,637,662,681,708,735,763,793,819,845,881,920,950,982,1019,1062,1106,1144,1182,1222,1259,1292,1326,1359,1388,1417,1442,1481,1510,1548,1580,1615,1654,1684,1723,1764,1797,1837,1869,1912,1940,1966,1999,2044,2084,2114,2149,2181,2212,2240,2283,2323,2369,2406,2446,2493,2532,2573,2617,2662,2711,2752,2810,2856,2902,2954,2991,3048,3103,3154,3217,3281,3358,3432,3500,3586,3651,3730,3811,3900,3991,4067,4153,4248,4323,4411,4510,4591,4698,4792,4881,4970,5057,5142,5245,5337,5443,5534,5636,5718,5788,5885,5974,6052,6132,6217,6310,6406,6505,6598,6674,6766,6870,6962,7065,7175,7288,7367,7489,7596,7688,7785,7889,8006,8136,8240,8344,8443,8544,8647,8741,8849,8961,9083,9206,9325,9435,9542,9649,9763,9872,9987,10137,10258,10406,10563,10689,10827,10960,11108,11260,11399,11547,11681,11806,11966,12132,12287,12434,12585,12772,12959,13139,13314,13505,13701,13915,14131,14343,14529,14749,14973,15184,15401,15645,15885,16149,16392,16632,16885,17141,17416,17702,18003,18280,18567,18865,19175,19460,19750,20051,20387,20681,20973,21276,21584,21895,22223,22544,22868,23144,23443,23757,24049,24379,24685,25008,25372,25733,26085,26402,26733,27070,27388,27734,28134,28516,28907,29311,29698,30091,30507,30949,31403,31812,32267,32767,33197,33663,34098,34557,35034,35543,36052,36520,37024,37511,38062,38592,39128,39611,40126,40659,41237,41811,42343,42921,43471,44076,44690,45281,45901,46522,47141,47825,48516,49169,49800,50468,51153,51846,52616,53368,54153,54953,55751,56607,57332,58157,58983,59863,60749,61615,62507,63358,64247,65107,66046,66989,67932,68849,69747,70709,71681,72627,73640,74601,75590,76575,77555,78491,79526,80563,81628,82705,83787,84930,86011,87122,88237,89386,90540,91716,92909,94154,95411,96700,97982,99259,100588,101910,103298,104752,106096,107520,108981,110465,111984,113516,115005,116529,118086,119666,121283,122885,124550,126106,127759,129440,131187,132857,134640,136427,138137,139885,141628,143466,145245,147106,148965,150883,152762,154610,156585,158631,160524,162423,164411,166450,168507,170540,172635,174754,176827,179080,181269,183463,185723,188069,190362,192754,195131,197540,200084,202469,205057,207605,210288,213038,215678,218548,221371,224194,227103,230083,233076,236117,239236,242353,245407,248673,251915,255257,258706,262096,265564,269061,272618,276287,279986,283710,287559,291519,295480,299434,303520,307630,311792,316002,320382,324874,329408,333978,338527,343287,348049,352790,357762,362905,367975,372993,378261,383652,388915,394149,399610,405215,410859,416402,422172,428038,433834,439799,445834,451955
1,1,1,2,5,5,5,8,9,11,14,14,14,15,19,20,27,31,40,42,50,61,65,73,79,88,103,109,116,126,137,153,158,168,171,178,183,191,201,206,212,217,224,234,243,246,253,259,267,274,283,291,302,308,318,322,335,346,355,364,380,391,397,409,424,433,449,456,467,482,487,493,498,512,524,536,542,551,561,571,584,595,604,617,623,633,648,671,691,706,731,752,770,790,816,837,861,888,909,927,947,972,994,1022,1048,1070,1096,1120,1163,1183,1216,1241,1273,1297,1335,1365,1394,1419,1449,1472,1498,1525,1549,1584,1616,1648,1686,1717,1761,1793,1825,1869,1902,1948,1990,2026,2053,2083,2118,2155,2186,2224,2267,2288,2329,2366,2398,2435,2475,2505,2543,2579,2608,2655,2711,2769,2807,2848,2886,2930,2976,3016,3061,3112,3163,3219,3278,3326,3368,3419,3471,3528,3587,3656,3707,3765,3821,3893,3961,4022,4086,4146,4212,4283,4353,4424,4497,4562,4647,4741,4829,4915,5004,5088,5181,5266,5349,5444,5535,5636,5736,5828,5974,6086,6205,6314,6414,6537,6662,6784,6911,7026,7180,7332,7477,7618,7761,7905,8082,8237,8410,8587,8749,8898,9055,9221,9401,9575,9741,9910,10079,10291,10465,10667,10843,11056,11284,11520,11736,11971,12198,12441,12650,12858,13129,13381,13596,13836,14061,14314,14567,14838,15062,15337,15622,15904,16185,16482,16785,17063,17351,17645,17951,18259,18592,18926,19266,19582,19894,20211,20576,20906,21253,21626,21971,22348,22730,23109,23539,23937,24363,24747,25172,25596,26035,26471,26961,27411,27910,28417,28955,29486,30038,30553,31124,31684,32302,32886,33443,34037,34636,35235,35855,36548,37186,37833,38468,39168,39887,40580,41304,42034,42732,43478,44230,44998,45762,46530,47353,48170,49008,49820,50689,51527,52353,53216,54097,54982,55815,56715,57617,58604,59557,60553,61554,62543,63517,64532,65563,66560,67628,68652,69748,70811,71920,73072,74160,75273,76481,77662,78886,80024,81229,82486,83740,84989,86251,87575,88894,90164,91509,92890,94176,95573,96927,98334,99706,101133,102523,104020,105442,106959,108444,109932,111459,113010,114530,116153,117876,119461,121135,122811,124516,126313,128079,129926,131843,133717,135629,137578,139496,141495,143615,145640,147767,149902,152148,154296,156462,158757,161072,163493,165897,168258,170712,173100,175572,178124,180730,183233,185909,188555,191257,194038,196820,199674,202554,205334,208132,211016,214030,217166,220309,223373,226631,229915,233184,236504,239693,243128,246727,250243,253797,257401,261113,264757,268487,272209,276087,280112,284124,288050,292115,296335,300536,304693,308996,313408,317753,322304,326884,331491,336142,340833,345620,350583,355558,360644,365808,371025,376359,381692,386918,392274,397866,403398,409059,414808,420694,426651,432720,438734,444819,451036,457321,463680,470173,476739,483536,490236,497248,504373,511596,518911,526310,533746,541272,548833,556759,564578,572621,580781,588961,597205,605543,614185,622955
1,1,1,1,2,3,5,6,9,11,12,13,17,18,23,23,24,26,31,37,41,49,53,63,70,78,89,104,111,115,131,139,150,164,179,192,212,225,236,251,263,274,284,296,305,314,327,335,349,366,379,398,408,421,437,452,476,494,513,534,551,578,602,629,664,693,746,777,811,848,877,912,939,984,1023,1046,1084,1128,1171,1213,1240,1290,1322,1362,1407,1467,1499,1553,1604,1663,1697,1744,1796,1855,1906,1962,2018,2068,2129,2186,2249,2322,2377,2457,2523,2598,2679,2755,2852,2928,3025,3105,3189,3265,3355,3441,3533,3631,3731,3846,3959,4068,4184,4293,4394,4504,4614,4729,4838,4961,5099,5231,5367,5484,5632,5763,5901,6032,6171,6315,6453,6583,6738,6873,6992,7159,7312,7468,7612,7724,7870,8016,8159,8303,8484,8636,8815,8972,9144,9333,9483,9662,9854,10042,10231,10376,10570,10797,11008,11219,11431,11631,11866,12122,12358,12570,12786,13027,13290,13547,13783,14040,14315,14576,14853,15126,15388,15671,15948,16210,16495,16817,17123,17441,17723,18067,18388,18725,19057,19420,19779,20132,20473,20884,21284,21631,22008,22417,22822,23217,23637,24080,24545,24971,25426,25921,26399,26861,27373,27861,28409,28941,29499,30052,30598,31136,31688,32258,32853,33473,34078,34670,35278,35935,36545,37207,37853,38526,39208,39865,40520,41249,41994,42806,43565,44318,45080,45870,46684,47476,48299,49152,50030,50929,51844,52744,53639,54538,55475,56430,57416,58318,59359,60378,61386,62441,63481,64528,65684,66800,67898,69082,70199,71444,72665,73967,75201,76468,77747,79050,80407,81787,83200,84594,86098,87558,89105,90575,92143,93740,95298,96940,98604,100199,101871,103572,105196,106894,108739,110491,112234,114064,115857,117805,119588,121559,123426,125352,127385,129467,131503,133500,135689,137935,140200,142370,144659,146934,149353,151746,154140,156580,159069,161573,164046,166697,169360,171909,174554,177276,179954,182621,185492,188338,191149,194083,197011,199906,202797,205752,208871,211893,215017,218151,221437,224650,227837,231114,234385,237694,241143,244566,248155,251721,255361,259031,262756,266573,270327,274328,278217,282097,286031,289995,294191,298335,302683,306873,311152,315333,319721,324152,328498,332974,337596,342245,346919,351719,356357,361258,366095,370909,375885,380886,385965,391061,396254,401446,406772,412148,417642,423250,428838,434629,440460,446252,452190,458326,464519,470701,477197,483686,490219,496739,503553,510573,517562,524698,531703,539030,546454,554110,561665,569422,577307,585253,593245,601293,609461,617697,626113,634620,643174,652045,660783,669565,678546,687610,696885,706270,715693,725212,734896,744692,754376,764286,774584,784833,795253,805893,816509,827318,838134,849128,860573,871873,883291,894969,906572,918447,930534,942850,955043,967630,980275,993160,1006404,1019579,1033149,1046497,1060311,1074327,1088278,1102690,1117094,1131665,1146403,1161362,1176448,1191615,1207162,1222710,1238596,1254337,1270465,1286848,1303422,1320182,1337041,1354105,1371511,1389349,1407101,1424824,1443216,1461675,1480383,1499505,1518410,1537559,1557035,1576661,1596196,1616239,1636418,1656834,1677444
1,1,3,3,5,7,8,12,15,18,19,25,30,33,37,38,42,49,49,51,63,70,77,88,97,105,109,120,123,135,144,155,174,183,188,193,197,200,203,209,219,224,229,235,239,244,249,258,269,276,290,294,303,310,313,317,326,338,344,352,357,365,381,396,410,418,429,438,452,461,472,483,498,523,540,550,559,580,601,619,641,664,687,708,719,744,766,795,823,846,876,909,940,984,1020,1056,1094,1124,1161,1211,1262,1306,1356,1411,1481,1551,1597,1647,1703,1766,1818,1874,1941,1997,2058,2123,2174,2245,2328,2399,2465,2543,2609,2679,2751,2819,2901,2990,3071,3154,3228,3314,3391,3468,3569,3675,3758,3853,3945,4036,4128,4219,4335,4424,4529,4634,4740,4847,4953,5060,5165,5275,5386,5501,5606,5733,5848,5955,6071,6183,6311,6420,6538,6655,6765,6884,6974,7090,7209,7317,7423,7557,7675,7799,7921,8036,8125,8242,8366,8489,8609,8747,8854,8993,9100,9210,9347,9484,9601,9738,9845,9973,10104,10244,10382,10528,10653,10787,10959,11099,11253,11392,11543,11709,11874,12066,12251,12422,12578,12783,12970,13171,13358,13546,13742,13957,14171,14377,14590,14842,15083,15327,15581,15852,16123,16390,16612,16865,17141,17435,17730,18032,18329,18637,18911,19224,19532,19821,20163,20480,20809,21136,21448,21766,22084,22438,22774,23127,23482,23843,24204,24572,24953,25346,25764,26194,26593,27046,27458,27912,28378,28788,29260,29786,30271,30740,31246,31739,32232,32735,33301,33840,34346,34931,35483,36033,36633,37238,37834,38405,38990,39600,40211,40864,41511,42187,42817,43497,44203,44871,45602,46330,47064,47788,48520,49281,50047,50900,51737,52624,53480,54407,55282,56218,57195,58204,59162,60179,61238,62286,63378,64437,65503,66567,67648,68916,70104,71308,72509,73723,75006,76264,77552,78911,80218,81625,82947,84420,85809,87281,88841,90346,91848,93373,94931,96424,97967,99574,101162,102830,104499,106217,107923,109633,111389,113185,115005,116756,118563,120362,122225,124131,126000,127934,129901,131899,133953,135909,137940,140026,142288,144553,146725,148969,151259,153535,155810,158110,160472,162902,165382,167852,170472,173033,175586,178352,181091,183816,186643,189486,192472,195458,198513,201555,204691,207805,210972,214102,217353,220662,224052,227400,230850,234307,237737,241166,244606,248192,251714,255442,259211,263083,266901,270718,274659,278574,282730,286812,290830,294916,299109,303239,307599,311994,316477,320936,325331,329991,334576,339243,344037,348809,353552,358457,363452,368268,373279,378316,383294,388470,393706,398957,404075,409369,414822,420319,425881,431610,437337,443012,448746,454653,460516,466579,472738,479028,485172,491433,497763,504241,510785,517475,524126,530828,537766,544765,551928,559264,566582,573874,581235,588730,596370,604125,612134,620213,628159,636246,644572,652945,661553,670233,678946,687890,696807,705649,714869,724151,733567,743090,752707,762393,772326,782178,792288,802410,812886,823169,833781,844389,855078,866101,877098,888377,899883,911440,923289
1,1,1,1,2,3,8,13,15,18,20,21,28,29,31,34,43,46,54,64,71,75,84,90,97,108,115,128,149,164,170,180,190,204,215,227,238,248,265,277,295,309,332,351,375,395,408,432,450,469,494,510,527,544,560,586,615,649,668,691,713,738,762,788,818,852,878,909,946,969,1001,1023,1056,1094,1126,1164,1207,1240,1278,1319,1365,1402,1446,1494,1530,1577,1617,1663,1709,1754,1793,1860,1920,2001,2077,2144,2207,2283,2338,2406,2482,2569,2643,2736,2823,2907,2992,3071,3150,3224,3298,3383,3482,3588,3667,3756,3862,3984,4069,4164,4267,4358,4461,4585,4694,4828,4943,5064,5193,5297,5414,5525,5646,5777,5900,6016,6158,6287,6412,6551,6670,6809,6939,7063,7229,7381,7550,7708,7882,8052,8237,8427,8602,8779,8962,9166,9387,9568,9782,9979,10179,10401,10606,10830,11026,11241,11466,11678,11924,12154,12382,12604,12858,13104,13350,13626,13884,14131,14416,14695,14995,15288,15576,15866,16185,16479,16777,17078,17428,17748,18072,18386,18737,19084,19408,19736,20097,20442,20806,21195,21584,21912,22273,22646,23041,23403,23767,24135,24538,24943,25377,25789,26228,26656,27071,27516,27986,28454,28915,29347,29822,30308,30835,31365,31889,32433,32966,33497,34028,34585,35172,35738,36324,36928,37529,38156,38797,39462,40130,40758,41372,42001,42631,43341,44014,44690,45345,46033,46793,47550,48315,49096,49891,50685,51509,52279,53075,53966,54802,55746,56693,57675,58684,59682,60630,61570,62569,63533,64650,65726,66803,67859,68961,70084,71242,72411,73553,74776,76009,77224,78470,79713,80992,82269,83594,84963,86299,87694,89175,90663,92187,93721,95241,96899,98591,100272,101970,103603,105227,106944,108688,110391,112153,114034,115867,117680,119529,121394,123395,125321,127306,129297,131329,133415,135571,137787,139977,142174,144374,146632,148944,151228,153542,155932,158339,160826,163246,165802,168372,170998,173633,176317,179090,181765,184560,187450,190390,193315,196321,199322,202236,205349,208414,211501,214672,217887,221099,224297,227628,230901,234317,237705,241137,244640,248238,251836,255385,259140,262855,266626,270377,274338,278267,282231,286257,290396,294488,298785,303073,307390,311930,316363,320983,325631,330232,335024,339827,344728,349581,354548,359575,364790,369913,375284,380471,385804,391302,396802,402475,408208,414053,419881,425692,431647,437704,443633,449700,455784,462079,468313,474856,481361,487974,494594,501142,507920,514681,521636,528694,535922,543100,550228,557693,565210,572686,580204,588059,596025,603843,612021,620101,628270,636616,645106,653738,662289,671206,679965,689063,698228,707370,716822,726358,735994,746056,756064,765946,776163,786484,796844,807354,817923,828710,839832,851257,862841,874248,885665,897391,909206,921205,933365,945508,958129,970626,983269,995988,1009090,1022133,1035296,1048738,1062268,1076079,1089962,1104220,1118525,1132912,1147502,1162503,1177321,1192400,1207761,1223299,1239306,1255237,1271458,1287590,1304082,1320681,1337679,1354679,1371782,1389239,1406807,1424809,1442792,1461068,1479473,1497887,1516640,1535564,1554766,1574115,1593619,1613194,1632879,1652953
1,1,1,3,4,7,9,9,10,11,13,15,16,19,23,29,32,39,41,47,52,59,61,69,71,76,87,92,101,111,119,125,132,137,142,154,166,181,186,196,209,221,238,251,263,274,287,300,316,328,353,375,394,409,433,453,481,521,543,569,591,621,648,682,713,742,783,833,876,910,939,978,1027,1074,1132,1187,1227,1280,1335,1381,1426,1485,1539,1593,1647,1719,1779,1838,1913,1975,2032,2102,2159,2222,2297,2365,2463,2534,2610,2694,2771,2850,2934,3007,3099,3200,3292,3382,3476,3590,3706,3804,3926,4032,4157,4272,4397,4508,4660,4810,4944,5072,5215,5349,5501,5663,5817,5973,6139,6292,6459,6627,6769,6941,7116,7279,7457,7622,7789,7946,8108,8266,8428,8574,8756,8906,9066,9235,9405,9561,9711,9888,10057,10252,10416,10589,10790,10958,11126,11317,11496,11680,11848,12048,12222,12449,12657,12853,13055,13280,13483,13689,13932,14153,14387,14644,14907,15173,15428,15693,15960,16228,16516,16793,17068,17366,17661,17970,18260,18533,18835,19138,19452,19776,20116,20459,20838,21215,21589,21968,22318,22684,23078,23495,23868,24244,24649,25092,25524,25967,26429,26896,27364,27838,28325,28806,29250,29728,30237,30771,31230,31744,32230,32724,33274,33811,34359,34957,35535,36101,36652,37250,37846,38459,39064,39710,40361,41038,41682,42313,43007,43711,44464,45160,45860,46568,47277,47978,48685,49412,50183,50914,51664,52410,53224,54050,54897,55709,56595,57445,58324,59224,60145,61062,61950,62882,63910,64891,65912,66945,67891,68946,70036,71121,72214,73320,74389,75519,76656,77884,79117,80385,81692,82921,84228,85529,86896,88203,89515,90892,92329,93774,95201,96611,98066,99604,101076,102626,104194,105750,107357,108931,110616,112283,114040,115906,117709,119436,121248,123077,124935,126907,128868,130783,132748,134808,136802,138829,140889,143047,145193,147342,149551,151720,154001,156310,158626,161072,163459,165969,168401,170965,173550,176246,178775,181465,184093,186804,189617,192404,195357,198195,201114,204112,207126,210287,213326,216543,219739,223023,226362,229720,233086,236586,240109,243571,247161,250740,254482,258298,262021,265771,269729,273576,277749,281758,285865,289959,294210,298356,302777,307159,311514,316115,320661,325090,329759,334599,339451,344290,349190,354142,359195,364254,369414,374728,380160,385443,390925,396507,402076,407749,413477,419136,425038,431081,437175,443261,449370,455686,462229,468468,474982,481530,488250,494899,501601,508685,515737,522900,530048,537459,544773,552386,560105,567617,575419,583310,591203,599276,607403,615775,624183,632701,641248,649920,658758,667956,677136,686283,695570,705009,714635,724312,734186,744184,754402,764647,774778,785398,796250,806948,817955,829057,840381,851663,863065,874660,886435,898561,910698,922981,935266,947793,960470,973264,986347,999414,1012581,1025933,1039774,1053510,1067473,1081584,1095899,1110206,1124804,1139506,1154327,1169408,1184396,1199726,1215283,1230954,1246548,1262323,1278557,1295082,1311589,1328472,1345457,1362291,1379688,1396952,1414403,1432130,1450084,1468057,1486475,1505059,1523674,1542660,1561544,1580731,1599970,1619510,1639327
1,1,1,3,5,6,7,11,11,15,18,21,26,30,42,48,57,63,74,84,96,104,109,117,134,142,149,158,168,179,189,203,210,218,233,242,249,262,274,288,304,317,325,337,354,370,376,392,404,421,440,449,470,483,505,522,541,561,591,607,626,648,681,702,724,743,765,790,827,852,890,915,940,975,996,1023,1047,1080,1117,1152,1176,1206,1233,1258,1289,1318,1346,1390,1425,1465,1495,1544,1578,1606,1635,1682,1717,1764,1799,1838,1878,1911,1953,1994,2042,2069,2107,2148,2193,2231,2266,2302,2341,2385,2415,2460,2489,2514,2556,2590,2614,2645,2690,2725,2758,2789,2821,2841,2868,2904,2948,2985,3032,3076,3121,3167,3210,3263,3312,3345,3397,3447,3504,3546,3601,3650,3699,3755,3798,3852,3910,3971,4027,4089,4148,4210,4285,4348,4422,4511,4588,4667,4733,4801,4897,4972,5046,5124,5206,5291,5375,5440,5519,5603,5706,5794,5901,6006,6117,6227,6333,6428,6541,6647,6773,6897,7022,7125,7240,7366,7478,7600,7729,7852,7976,8118,8252,8401,8548,8699,8850,9006,9165,9294,9469,9658,9842,10010,10178,10351,10523,10708,10917,11094,11291,11494,11693,11904,12104,12290,12523,12741,12995,13227,13476,13722,13948,14200,14450,14738,15013,15280,15521,15733,16007,16299,16597,16859,17133,17415,17741,18008,18321,18638,18980,19284,19599,19936,20296,20659,21033,21388,21795,22170,22552,22932,23298,23695,24059,24489,24899,25317,25791,26288,26743,27245,27743,28289,28834,29401,29955,30576,31163,31794,32435,33101,33770,34493,35126,35814,36539,37243,37990,38779,39507,40254,41008,41784,42611,43443,44316,45161,46044,46909,47814,48738,49682,50632,51622,52611,53568,54551,55559,56592,57645,58760,59860,60927,61987,63099,64237,65399,66576,67764,69052,70298,71630,72943,74225,75533,76921,78442,79853,81293,82818,84339,85899,87391,88926,90530,92218,93882,95554,97221,98915,100633,102347,104114,105877,107713,109523,111395,113243,115270,117175,119099,121117,123158,125229,127308,129476,131593,133748,135945,138196,140555,142938,145353,147779,150184,152758,155245,157769,160496,163172,165856,168478,171298,174048,176944,179900,182786,185848,188808,191756,194784,197902,201056,204199,207339,210741,214048,217396,220756,224214,227614,231029,234483,238036,241625,245202,248837,252646,256527,260319,264192,268236,272226,276235,280301,284574,288765,293235,297745,302372,307020,311581,316397,321225,326028,330901,335889,341108,346302,351595,356878,362323,367845,373440,379078,384812,390583,396421,402338,408377,414424,420638,426889,433370,439808,446336,453082,459768,466587,473403,480289,487515,494722,502000,509564,517075,524841,532696,540445,548290,556505,564528,572622,581076,589580,598203,606818,615468,624234,633164,642201,651405,660668,670206,679892,689653,699513,709375,719539,729965,740481,751162,762007,772743,783787,794995,806397,817884,829591,841531,853532,865717,878065,890616,903081,916083,929131,942228,955520,968997,982587,996307,1010331,1024394,1038637,1052991,1067547,1082256,1097227,1112175,1127183,1142378
1,1,1,1,1,2,3,5,6,8,13,18,26,30,34,34,39,43,47,47,50,53,59,65,71,78,86,91,98,104,112,118,124,129,136,145,150,156,165,169,178,182,190,201,213,225,230,239,249,255,266,278,281,290,299,311,317,332,345,359,376,389,404,423,444,456,470,485,495,512,527,538,547,557,568,583,593,601,613,633,640,655,664,673,681,701,716,728,740,758,772,779,802,823,853,871,896,920,939,959,984,1005,1034,1058,1089,1118,1138,1179,1203,1235,1274,1309,1341,1376,1418,1454,1481,1530,1571,1604,1638,1671,1705,1742,1776,1810,1843,1876,1912,1939,1972,2008,2038,2067,2092,2128,2172,2213,2253,2290,2320,2358,2403,2432,2466,2504,2539,2579,2617,2651,2695,2730,2772,2812,2844,2880,2923,2952,3000,3052,3095,3137,3179,3222,3267,3302,3335,3378,3421,3448,3483,3516,3546,3588,3626,3672,3711,3762,3801,3847,3891,3944,3997,4040,4100,4152,4206,4276,4340,4406,4480,4556,4629,4705,4776,4844,4917,5010,5097,5185,5278,5370,5480,5566,5648,5738,5823,5908,5994,6094,6214,6325,6425,6533,6644,6750,6862,7002,7101,7225,7349,7485,7604,7759,7886,8036,8163,8301,8440,8588,8744,8898,9057,9197,9348,9477,9638,9810,9963,10132,10316,10504,10680,10849,11022,11194,11385,11586,11788,11995,12191,12395,12584,12806,13022,13242,13491,13726,13991,14244,14528,14791,15044,15305,15601,15889,16191,16508,16799,17088,17436,17762,18061,18369,18680,19039,19360,19661,19956,20278,20578,20927,21232,21578,21919,22256,22622,22971,23302,23663,24026,24381,24738,25089,25457,25824,26227,26654,27078,27489,27891,28263,28695,29155,29573,29973,30395,30800,31259,31696,32139,32549,32968,33392,33845,34279,34739,35203,35661,36150,36684,37194,37755,38288,38798,39323,39863,40480,40998,41566,42141,42749,43365,43956,44563,45171,45757,46392,47020,47643,48343,49021,49704,50396,51072,51730,52446,53194,53946,54676,55404,56133,56909,57650,58400,59187,59983,60822,61638,62413,63257,64046,64929,65839,66723,67600,68493,69462,70451,71392,72395,73386,74375,75376,76381,77445,78577,79742,80845,82021,83139,84311,85503,86722,87944,89189,90469,91699,92914,94253,95591,96908,98280,99660,101061,102435,103853,105372,106816,108335,109939,111484,113034,114668,116294,117867,119561,121152,122907,124643,126408,128191,130045,131799,133675,135570,137474,139483,141370,143398,145420,147442,149484,151640,153756,155959,158088,160223,162467,164755,167084,169384,171886,174232,176605,179042,181536,184084,186689,189272,191864,194446,197173,199926,202730,205568,208465,211321,214325,217353,220466,223460,226618,229747,232958,236216,239408,242812,246158,249528,252949,256638,260265,263979,267638,271350,275108,278975,282926,286877,290858,294820,298928,303037,307341,311633,316022,320402,324797,329330,333875,338591,343295,348183,353072,358045,363030,368061,373289,378458,383680,389130,394630,400239,405806,411347,417057
1,1,1,3,7,7,7,9,11,15,17,20,26,33,40,44,52,60,67,72,82,92,97,104,110,118,129,139,147,157,165,173,183,190,196,204,210,221,231,239,247,261,268,280,291,305,319,332,345,362,371,379,394,409,430,454,463,474,491,510,518,537,559,573,596,617,629,652,668,686,694,710,726,743,759,785,804,829,849,870,895,917,944,971,992,1016,1047,1076,1118,1150,1180,1202,1227,1254,1293,1331,1372,1413,1458,1495,1531,1578,1614,1652,1694,1756,1805,1862,1918,1956,1987,2034,2067,2113,2171,2232,2282,2343,2389,2448,2511,2565,2629,2697,2756,2812,2858,2905,2965,3036,3111,3176,3230,3304,3374,3449,3512,3596,3688,3766,3829,3906,3981,4052,4133,4223,4303,4391,4471,4559,4632,4714,4805,4884,4950,5028,5104,5196,5257,5338,5441,5529,5616,5699,5789,5887,5965,6035,6116,6209,6294,6393,6522,6617,6719,6823,6946,7059,7176,7316,7448,7571,7700,7821,7946,8114,8281,8407,8537,8679,8860,9006,9170,9344,9528,9693,9874,10050,10212,10389,10553,10739,10926,11134,11339,11533,11732,11951,12155,12376,12604,12847,13093,13325,13543,13778,13990,14230,14492,14715,14961,15238,15465,15729,15969,16218,16468,16718,16960,17219,17500,17757,18019,18290,18553,18805,19062,19342,19613,19909,20232,20491,20777,21070,21363,21678,22014,22305,22603,22899,23198,23518,23853,24175,24503,24852,25172,25495,25848,26202,26536,26898,27301,27683,28062,28470,28859,29265,29610,30014,30439,30866,31327,31763,32219,32695,33119,33557,33992,34488,34996,35489,35996,36444,36973,37400,37924,38480,39016,39522,40051,40614,41189,41738,42311,42875,43428,43994,44618,45213,45789,46385,47005,47621,48169,48797,49404,50042,50711,51406,52084,52726,53406,54063,54794,55526,56193,56988,57736,58494,59265,60055,60875,61721,62565,63365,64219,65086,65902,66759,67648,68572,69460,70398,71370,72241,73194,74090,75089,76021,77020,78005,79028,79951,80966,81885,82903,83944,84995,86060,87202,88331,89429,90514,91618,92813,94001,95149,96368,97595,98835,100033,101277,102517,103856,105121,106446,107802,109126,110474,111905,113310,114767,116236,117683,119202,120706,122263,123761,125363,126969,128606,130298,131973,133651,135348,137077,138835,140602,142415,144219,145998,147999,149929,151876,153808,155736,157819,159927,161978,164234,166491,168735,170967,173274,175598,177901,180296,182758,185207,187662,190143,192670,195119,197665,200290,202784,205360,207968,210783,213539,216434,219160,222077,224993,227891,230759,233858,236893,239991,243305,246569,249921,253260,256779,260210,263629,267216,270756,274328,277895,281624,285428,289362,293334,297280,301422,305605,309853,314179,318487,322992,327440,331970,336589,341175,346011,350881,355821,360756,365899,371088,376449,381708,387194,392751,398021,403615,409268,415181,421083,427058,432985,438995,445153,451511,457960,464439,470833,477563,484194,491040,497943,504927,512069,519108,526218,533530,541044,548410,555913,563642,571430,579477,587471,595662,603989
1,1,2,3,5,6,7,8,8,9,10,11,11,14,15,22,26,29,37,47,53,60,72,79,90,98,108,115,121,135,145,155,161,170,185,198,210,225,234,243,253,264,276,288,293,302,314,324,341,355,370,387,405,425,442,463,484,506,527,553,576,599,623,651,668,694,731,774,804,845,881,916,946,981,1016,1056,1095,1131,1174,1226,1274,1311,1359,1392,1447,1501,1556,1623,1674,1726,1767,1815,1868,1925,1992,2047,2104,2162,2229,2285,2366,2434,2499,2561,2636,2715,2791,2867,2947,3027,3119,3201,3297,3400,3508,3608,3709,3832,3945,4053,4159,4311,4438,4563,4670,4792,4915,5041,5207,5353,5515,5676,5803,5972,6151,6319,6495,6648,6797,6965,7131,7278,7471,7652,7840,8009,8173,8346,8517,8690,8853,9023,9218,9374,9588,9786,9986,10187,10407,10620,10842,11043,11256,11496,11740,11991,12253,12499,12759,13034,13313,13611,13908,14200,14482,14761,15018,15304,15620,15914,16247,16587,16896,17199,17499,17804,18139,18474,18786,19092,19387,19705,20068,20403,20753,21107,21475,21854,22219,22585,22957,23350,23770,24185,24579,24988,25410,25815,26225,26683,27154,27639,28120,28621,29094,29579,30080,30603,31115,31671,32274,32866,33491,34108,34700,35337,35892,36496,37141,37778,38461,39158,39902,40591,41327,42014,42721,43489,44223,44982,45750,46537,47294,48064,48819,49610,50438,51216,52028,52790,53619,54480,55301,56111,56989,57849,58698,59610,60507,61453,62435,63406,64373,65405,66479,67552,68650,69761,70853,72066,73229,74430,75578,76782,77970,79196,80444,81695,83048,84341,85683,87052,88395,89728,91042,92430,93819,95224,96737,98257,99697,101174,102729,104278,105832,107400,109013,110651,112351,114067,115798,117586,119371,121158,122940,124802,126714,128674,130629,132654,134612,136610,138635,140741,142857,144958,147150,149396,151562,153826,156114,158474,160764,163153,165535,167968,170382,172896,175413,178025,180592,183238,185925,188592,191404,194244,197153,200023,203009,206101,209078,212189,215350,218565,221862,225199,228585,232038,235481,238874,242342,245949,249489,253190,256849,260646,264396,268220,272093,275932,279809,283709,287706,291714,295780,299947,304254,308662,313032,317412,321864,326365,330867,335433,340088,344906,349728,354683,359711,364812,370033,375284,380505,385989,391508,397177,402759,408456,414135,420092,425980,432002,438305,444715,451097,457485,464004,470747,477559,484338,491350,498246,505421,512579,519815,527231,534669,542138,549758,557424,565273,573259,581043,589349,597440,605630,614021,622469,631144,639730,648531,657596,666631,675768,685132,694452,703852,713444,723368,733264,743244,753225,763634,773910,784426,795057,805890,816778,827714,838851,850163,861620,873104,884793,896578,908533,920486,932618,944931,957251,969724,982272,994907,1007700,1020634,1033645,1046745,1060125,1073758,1087202,1100844,1114785,1128621,1142758,1157029,1171442,1185929,1200967,1215944,1231054,1246524,1262002,1277580,1293407,1309350,1325412,1341771,1358274,1375118,1391913,1409123,1426331,1443724,1461339,1479335,1497304,1515469,1533865,1552752,1571541,1590473,1609734,1629359,1648979,1668715,1688761,1709024
1,1,1,1,1,1,2,2,3,5,6,8,11,12,17,19,23,28,33,39,48,55,67,71,86,105,116,132,144,160,175,194,207,224,238,251,265,281,301,320,346,373,392,412,429,448,465,486,500,525,555,587,618,640,675,698,731,761,787,814,854,902,949,985,1023,1056,1103,1151,1203,1247,1293,1352,1400,1460,1524,1576,1645,1697,1760,1826,1882,1969,2037,2113,2215,2294,2394,2494,2579,2676,2769,2869,2967,3073,3165,3261,3373,3481,3600,3724,3831,3923,4057,4165,4269,4403,4536,4679,4812,4942,5084,5223,5359,5517,5659,5795,5934,6079,6212,6344,6496,6647,6795,6941,7072,7217,7380,7524,7683,7835,7979,8123,8279,8418,8551,8700,8844,8992,9130,9276,9421,9589,9792,9975,10152,10351,10525,10721,10911,11108,11306,11513,11728,11976,12217,12439,12673,12918,13160,13416,13691,13961,14206,14488,14763,15040,15375,15719,16037,16361,16686,17008,17365,17685,18044,18388,18754,19157,19548,19930,20302,20724,21152,21550,21977,22433,22860,23307,23760,24150,24608,25058,25504,25949,26409,26888,27361,27846,28360,28859,29377,29895,30416,30972,31514,32071,32628,33194,33734,34312,34950,35596,36223,36904,37590,38241,38934,39666,40349,41112,41798,42556,43385,44197,44958,45796,46654,47532,48383,49228,50109,51039,51979,52937,53920,54881,55913,56964,58019,59054,60166,61330,62445,63630,64812,65990,67199,68442,69721,70990,72315,73588,74949,76295,77647,79067,80523,82080,83462,84922,86428,87892,89425,91036,92536,94147,95741,97340,98989,100654,102379,104016,105747,107425,109329,111133,112980,114819,116770,118820,120787,122842,124849,126940,129026,131260,133447,135734,138060,140387,142681,145083,147429,149894,152441,155068,157707,160364,163027,165825,168567,171309,174154,177071,179869,182806,185776,188842,191916,194972,198048,201206,204422,207608,210934,214313,217627,221049,224483,227864,231343,234756,238360,241980,245618,249298,253005,256791,260429,264323,268297,272326,276327,280327,284422,288546,292786,297054,301352,305725,310242,314829,319497,324299,328934,333690,338627,343590,348627,353734,358958,364133,369364,374767,380272,385774,391374,397289,403088,408889,414723,420650,426739,432863,439052,445268,451613,457972,464489,471109,477816,484759,491580,498559,505482,512643,519869,527059,534515,542154,549887,557504,565273,573221,581242,589444,597679,605997,614313,622867,631363,639986,648763,657460,666593,675769,685010,694267,703639,713142,722834,732556,742426,752492,762653,772947,783416,794029,804742,815482,826510,837550,848957,860252,871768,883307,895112,907015,919097,931362,943776,956108,968555,981250,994048,1006981,1020228,1033566,1046857,1060161,1073642,1087185,1100815,1114672,1128690,1142932,1157110,1171604,1186277,1201215,1216178,1231139,1246567,1262154,1277863,1293835,1310030,1326598,1343189,1360127,1376928,1393877,1411084,1428851,1446809,1464354,1482289,1500449,1518816,1537179,1555664,1574583,1593485,1612926,1632183,1651492,1671348,1691155,1711319,1731403,1751943,1772386,1793082,1813905,1835119,1856567,1878164,1900102,1922399,1944351,1966703,1989602,2012168,2035372,2058478,2082260,2106113,2130141,2154489,2178764,2203366,2228325,2253501,2278776,2304191,2329898,2355868
1,1,1,1,2,3,6,6,6,6,8,9,10,11,14,16,17,21,23,27,29,37,46,47,52,57,58,63,68,79,86,91,101,111,121,129,135,138,147,157,172,186,192,205,217,229,239,251,261,270,280,291,300,314,321,328,336,341,350,355,361,374,390,397,407,416,430,442,449,459,470,485,504,515,528,542,557,575,588,608,625,637,651,671,689,707,729,748,767,793,803,820,832,842,861,878,896,912,923,937,947,962,973,982,992,1003,1022,1038,1058,1075,1101,1123,1144,1168,1190,1204,1225,1246,1275,1299,1322,1351,1377,1399,1425,1453,1494,1526,1554,1586,1626,1659,1692,1740,1790,1822,1865,1899,1939,1983,2022,2063,2102,2147,2193,2233,2263,2315,2345,2393,2432,2474,2506,2550,2601,2653,2702,2745,2798,2855,2893,2922,2981,3027,3096,3144,3208,3251,3305,3356,3417,3473,3543,3613,3681,3767,3832,3896,3993,4089,4153,4242,4310,4390,4455,4536,4629,4718,4801,4887,4991,5092,5182,5279,5363,5455,5556,5654,5760,5848,5959,6070,6180,6294,6403,6509,6615,6725,6832,6964,7086,7203,7323,7450,7561,7691,7826,7966,8089,8222,8380,8521,8671,8817,8965,9129,9267,9423,9556,9713,9872,10045,10207,10390,10540,10719,10883,11081,11294,11520,11720,11940,12171,12386,12627,12821,13017,13227,13434,13673,13897,14116,14336,14592,14813,15052,15300,15537,15783,16017,16247,16460,16701,16968,17203,17437,17649,17902,18120,18345,18582,18808,19011,19265,19496,19736,19961,20221,20470,20724,20975,21220,21455,21708,21966,22206,22443,22693,22971,23215,23471,23727,23997,24260,24505,24781,25060,25339,25624,25910,26198,26509,26792,27085,27374,27684,28018,28320,28625,28917,29224,29569,29926,30302,30648,31044,31402,31774,32205,32600,32986,33375,33834,34242,34672,35105,35550,36029,36511,37001,37536,38049,38554,39057,39606,40112,40653,41201,41762,42316,42868,43443,44031,44615,45213,45805,46430,47050,47705,48416,49060,49732,50475,51236,51967,52710,53433,54164,54914,55754,56625,57427,58299,59168,60020,60916,61786,62717,63612,64570,65460,66423,67428,68424,69401,70477,71507,72489,73555,74581,75631,76756,77835,78981,80075,81272,82463,83602,84795,86055,87273,88599,89926,91259,92679,94060,95495,96865,98307,99749,101226,102661,104119,105643,107152,108702,110222,111813,113385,114946,116602,118306,119905,121598,123272,124960,126677,128428,130216,131990,133770,135671,137518,139422,141338,143353,145419,147428,149479,151616,153832,156012,158268,160552,162820,165209,167546,169995,172513,175107,177642,180240,182895,185579,188279,191009,193895,196596,199470,202400,205318,208250,211279,214268,217366,220502,223670,226941,230197,233535,236815,240186,243607,247189,250697,254357,257935,261617,265283,269083,272809,276639,280446,284375,288377,292478,296435,300492,304747,308999,313329,317602,321993,326566,331190,335884,340520,345172,349897,354757,359659,364532,369553,374729,379885,385185,390415
1,1,1,1,1,2,4,6,7,11,15,16,17,22,25,28,30,34,38,41,43,49,55,58,63,74,79,92,99,109,116,121,126,133,143,152,156,166,174,184,190,198,211,216,226,238,252,260,272,289,295,302,309,317,325,343,358,365,375,384,393,412,426,439,457,468,497,521,539,560,580,609,638,658,687,705,722,760,795,823,863,902,938,969,993,1026,1062,1095,1134,1165,1199,1238,1284,1325,1361,1397,1433,1477,1526,1560,1599,1640,1700,1757,1810,1872,1917,1983,2025,2071,2125,2190,2255,2328,2390,2457,2518,2589,2670,2760,2824,2901,2982,3061,3128,3219,3317,3407,3487,3572,3648,3738,3833,3909,3978,4076,4173,4267,4341,4439,4532,4636,4738,4840,4922,5019,5115,5224,5358,5484,5605,5720,5849,5973,6099,6219,6350,6486,6608,6734,6863,7015,7175,7322,7469,7631,7799,7969,8165,8362,8546,8731,8904,9114,9312,9533,9742,9962,10152,10359,10567,10783,11004,11246,11458,11708,11959,12178,12426,12677,12898,13160,13419,13683,13906,14172,14431,14676,14962,15231,15533,15785,16051,16308,16588,16852,17108,17357,17614,17881,18165,18438,18709,19016,19301,19575,19853,20106,20366,20634,20936,21188,21477,21750,22028,22303,22592,22870,23137,23413,23698,23979,24257,24570,24857,25161,25477,25768,26071,26386,26690,27018,27357,27654,27996,28315,28642,28989,29321,29638,29968,30303,30651,31004,31361,31723,32103,32488,32870,33268,33652,34077,34525,34949,35353,35766,36184,36636,37071,37491,37915,38336,38813,39256,39726,40172,40634,41136,41652,42116,42640,43185,43696,44198,44692,45195,45732,46299,46882,47472,48029,48628,49196,49800,50417,51056,51689,52351,53043,53755,54406,55147,55937,56727,57502,58266,59039,59830,60662,61474,62339,63229,64100,64955,65751,66672,67550,68451,69346,70262,71168,72153,73084,74056,75042,76080,77118,78124,79161,80234,81369,82488,83613,84665,85787,86901,88054,89146,90329,91578,92841,94046,95276,96567,97838,99177,100526,101866,103244,104618,106014,107436,108921,110460,111969,113554,115106,116620,118199,119845,121460,123134,124839,126535,128239,130014,131823,133559,135386,137190,139070,140948,142889,144834,146812,148854,150929,152988,155099,157189,159439,161639,163878,166136,168397,170645,172849,175157,177524,179927,182331,184753,187265,189725,192215,194811,197381,199966,202613,205384,208164,210955,213844,216761,219770,222706,225703,228748,231943,235246,238392,241728,245109,248499,252043,255458,259090,262695,266399,270066,273766,277564,281465,285328,289488,293520,297587,301670,305934,310167,314513,318872,323351,327849,332414,336926,341712,346400,351220,356006,361059,366192,371235,376369,381645,386885,392194,397643,403149,408644,414301,419985,425820,431810,437792,443761,449925,456122,462340,468539,474881,481199,487635,494358,501014,507707,514406,521260,528281,535288,542433,549707,557022,564520,571967,579565,587273,594987,603003,610862,618965,627385,635671,644123,652632,661192,669976,679111,688213,697443,706509,715968,725476,734970,744753,754541,764432
1,1,1,3,3,6,8,11,16,22,27,38,41,46,49,57,65,71,80,92,106,125,139,156,176,207,230,257,292,324,355,380,405,437,465,485,514,538,563,584,624,667,706,748,793,821,851,878,909,938,969,1015,1058,1093,1137,1176,1216,1248,1294,1332,1376,1440,1485,1532,1572,1617,1667,1722,1775,1842,1902,1964,2024,2080,2135,2207,2278,2353,2439,2520,2584,2663,2741,2821,2885,2960,3041,3117,3191,3274,3377,3466,3542,3623,3699,3788,3875,3969,4080,4167,4258,4337,4421,4518,4607,4701,4796,4886,4982,5083,5170,5270,5383,5475,5576,5680,5780,5895,6004,6108,6198,6313,6426,6502,6631,6737,6864,6974,7085,7210,7319,7459,7569,7688,7804,7935,8091,8230,8347,8488,8629,8757,8925,9071,9227,9389,9540,9705,9863,10022,10181,10340,10519,10670,10847,11020,11219,11407,11576,11756,11916,12110,12282,12494,12694,12896,13105,13306,13520,13761,13976,14216,14440,14682,14921,15137,15352,15606,15855,16111,16355,16602,16878,17155,17421,17723,18001,18295,18610,18905,19219,19505,19797,20115,20451,20779,21072,21407,21739,22101,22424,22758,23133,23510,23905,24291,24665,25045,25406,25803,26215,26585,26949,27324,27722,28130,28530,28930,29299,29707,30118,30509,30939,31390,31853,32322,32773,33263,33735,34268,34768,35278,35829,36388,36912,37488,38062,38626,39153,39722,40306,40859,41443,42019,42589,43231,43843,44458,45099,45740,46372,47059,47684,48364,49054,49764,50482,51217,51881,52545,53303,54075,54854,55635,56434,57233,58019,58891,59724,60584,61482,62336,63248,64125,65025,65989,66946,67905,68915,69909,70889,71880,72777,73785,74819,75829,76851,77868,78948,80077,81234,82380,83510,84633,85792,86974,88150,89385,90676,91948,93257,94500,95828,97242,98635,99993,101349,102771,104223,105671,107135,108536,109985,111485,113010,114499,116065,117617,119153,120768,122423,124091,125727,127371,129126,130868,132606,134382,136209,138067,139957,141930,143871,145834,147846,149902,151990,154095,156270,158382,160531,162720,165033,167261,169513,171825,174166,176697,179155,181669,184198,186725,189228,191835,194419,197115,199766,202481,205252,208080,211040,213967,216972,220031,223141,226271,229382,232563,235889,239211,242568,245944,249382,252903,256425,260048,263628,267289,270882,274601,278364,282103,285959,289736,293545,297531,301641,305705,309866,314110,318371,322685,327099,331500,336029,340452,344782,349462,353976,358523,363365,368126,372905,378066,383095,388142,393380,398634,403986,409414,414972,420463,426049,431667,437243,442979,448862,454881,461030,467152,473376,479656,486001,492453,498998,505599,512170,518775,525696,532676,539761,546932,554182,561484,568798,576246,583726,591432,599238,607142,615178,623401,631610,639997,648355,656940,665494,674276,683225,692514,701753,710996,720293,730051,739978,749786,759621,769782,780007,790333,800798,811298,822046,832983,844067,855329,866875,878644,890293,902073,914127,926016,938178,950681,963180,975853,988396,1001352,1014418,1027476,1040868,1054335,1068176,1082336,1096463,1110698,1125030,1139456,1154123,1168795,1183945,1199077,1214405,1230043,1245661,1261410,1277574
1,1,1,2,2,4,5,6,8,11,14,16,20,23,30,38,43,51,60,63,72,80,90,98,105,115,121,123,129,144,153,165,175,188,199,211,216,223,228,235,239,245,254,259,262,269,276,279,285,286,290,299,305,309,315,320,328,335,339,347,352,356,362,367,375,385,391,400,410,428,437,445,458,466,482,495,505,516,532,547,560,573,590,608,623,639,655,675,695,715,740,755,777,795,816,836,862,888,923,934,959,996,1029,1050,1075,1100,1124,1149,1180,1202,1236,1262,1290,1314,1349,1365,1389,1422,1446,1480,1502,1528,1550,1574,1602,1626,1652,1681,1705,1735,1757,1785,1810,1845,1864,1887,1924,1948,1981,2016,2059,2091,2132,2172,2202,2236,2273,2309,2349,2382,2429,2475,2523,2578,2623,2674,2730,2780,2829,2890,2946,3007,3067,3119,3166,3218,3265,3338,3394,3456,3531,3606,3680,3745,3833,3912,3997,4071,4152,4242,4319,4405,4499,4588,4682,4780,4885,4971,5079,5178,5273,5369,5472,5565,5665,5760,5854,5956,6063,6157,6272,6394,6506,6602,6719,6837,6967,7072,7175,7280,7388,7492,7619,7735,7894,8031,8167,8307,8462,8604,8736,8871,9014,9156,9300,9428,9579,9734,9877,10002,10131,10279,10411,10528,10671,10825,10986,11125,11264,11434,11565,11690,11820,11953,12091,12229,12395,12561,12703,12847,12993,13153,13291,13446,13597,13726,13863,14026,14165,14300,14447,14595,14755,14926,15069,15245,15415,15600,15756,15923,16089,16247,16445,16639,16832,17017,17233,17430,17614,17801,18010,18216,18434,18661,18875,19078,19284,19490,19718,19944,20178,20424,20686,20911,21160,21425,21694,21930,22184,22440,22733,22987,23264,23533,23805,24105,24388,24688,24984,25309,25646,25980,26294,26670,27020,27335,27693,28019,28367,28732,29070,29406,29776,30140,30527,30894,31274,31653,32038,32433,32823,33231,33604,34018,34436,34887,35330,35739,36209,36674,37179,37668,38154,38637,39150,39636,40127,40688,41213,41765,42330,42900,43448,44009,44561,45137,45764,46344,46951,47617,48220,48829,49454,50079,50754,51455,52102,52786,53478,54183,54931,55689,56398,57091,57837,58557,59318,60090,60830,61597,62391,63215,64028,64779,65612,66425,67255,68083,68914,69787,70667,71570,72425,73322,74278,75189,76118,77127,78075,79075,80098,81132,82259,83321,84385,85560,86702,87847,89030,90225,91460,92762,94043,95368,96647,97965,99362,100723,102083,103475,104875,106356,107893,109408,110928,112527,114098,115699,117282,118873,120526,122213,123873,125558,127305,129043,130802,132582,134380,136253,137968,139775,141645,143517,145297,147150,149028,151002,153003,155013,156992,159035,161087,163211,165400,167506,169749,171989,174252,176599,178869,181202,183527,185745,188199,190632,193120,195605,198107,200721,203195,205809,208355,211015,213673,216361,219084,221870,224631,227462,230382,233322,236169,239135,242139,245268,248429,251666,255004,258290,261686,265121,268702,272193,275892,279537,283202
1,1,1,6,7,7,9,9,10,14,15,17,17,17,24,24,29,35,39,43,47,49,56,67,72,78,84,92,105,111,121,132,149,157,173,185,205,229,243,253,265,284,307,318,339,355,378,400,422,448,468,490,514,540,563,583,614,643,667,699,717,737,769,807,840,871,905,936,957,990,1026,1064,1097,1126,1162,1193,1234,1273,1309,1348,1393,1435,1476,1531,1593,1652,1702,1759,1805,1852,1909,1959,2017,2086,2141,2195,2245,2285,2356,2418,2469,2521,2580,2630,2683,2757,2804,2853,2900,2966,3025,3062,3123,3182,3237,3306,3373,3442,3490,3550,3611,3673,3734,3815,3889,3967,4045,4128,4196,4268,4350,4435,4511,4590,4681,4785,4876,4961,5047,5126,5206,5296,5400,5496,5584,5681,5769,5879,5990,6102,6201,6312,6410,6524,6633,6744,6859,6974,7091,7221,7333,7460,7579,7708,7842,7969,8109,8254,8400,8536,8675,8831,8997,9165,9313,9470,9637,9821,9995,10218,10438,10673,10906,11145,11366,11605,11844,12077,12285,12541,12785,13047,13303,13576,13840,14116,14380,14645,14929,15226,15518,15830,16145,16461,16779,17105,17420,17741,18069,18395,18701,19039,19347,19699,20047,20405,20762,21118,21471,21806,22142,22503,22922,23294,23683,24062,24426,24805,25179,25551,25934,26313,26724,27115,27495,27924,28304,28688,29102,29536,29949,30348,30766,31191,31607,32055,32547,33024,33469,33907,34411,34909,35395,35897,36369,36874,37400,37915,38499,39053,39665,40229,40797,41364,41931,42512,43068,43675,44286,44922,45561,46187,46867,47562,48180,48815,49479,50199,50891,51586,52341,53074,53832,54565,55326,56083,56846,57630,58437,59319,60159,60979,61873,62766,63597,64508,65428,66330,67231,68153,69123,70079,71025,72047,73025,74032,75077,76118,77189,78261,79419,80547,81698,82840,83995,85159,86451,87715,88934,90165,91438,92749,94115,95500,96878,98318,99776,101147,102524,103971,105432,106870,108349,109965,111430,112990,114527,116132,117680,119328,120953,122571,124247,126029,127759,129525,131271,133074,134910,136728,138572,140493,142404,144353,146404,148391,150427,152439,154441,156632,158823,160982,163204,165458,167671,169919,172296,174652,177043,179533,182078,184602,187111,189671,192448,195116,197766,200616,203397,206263,209104,212076,215044,217993,221031,224160,227288,230391,233582,236814,240044,243299,246801,250213,253773,257280,260930,264562,268275,271927,275566,279367,283289,287223,291230,295278,299520,303799,308146,312409,316785,321184,325702,330181,334753,339447,344165,348926,353732,358710,363721,368827,373867,378965,384115,389339,394754,400299,405900,411636,417421,423168,428990,434973,440988,447200,453346,459384,465800,472201,478788,485419,492116,498883,505732,512701,519767,526892,534093,541398,548649,556050,563552,571085,578807,586570,594371,602294,610215,618252,626508,634875,643234,651638,660131,668707,677564,686448,695367,704215,713529,722843,732169,741696,751268,761053,770771,780977,791242,801487,812000,822992,833890,844885,855834,867151,878416,889889,901584,913568,925607,937803,950359,963058,975734,988540,1001693
1,1,1,1,2,4,8,9,10,11,13,14,18,20,21,26,33,37,43,49,58,63,70,81,92,106,111,119,127,138,145,157,171,176,183,201,210,215,233,247,262,275,284,303,321,334,352,371,384,393,412,423,439,464,487,512,527,551,570,593,616,634,652,671,689,720,742,765,789,809,827,848,875,900,919,935,959,981,1008,1032,1054,1098,1124,1159,1199,1233,1261,1300,1327,1357,1385,1415,1452,1489,1516,1543,1589,1626,1665,1695,1742,1788,1824,1869,1914,1973,2029,2086,2142,2205,2272,2335,2395,2469,2532,2610,2679,2757,2826,2887,2955,3020,3095,3183,3293,3388,3500,3593,3681,3763,3860,3965,4057,4165,4313,4449,4574,4696,4823,4954,5090,5233,5345,5470,5596,5728,5876,6044,6192,6373,6532,6710,6874,7034,7210,7393,7556,7723,7906,8114,8321,8517,8730,8945,9149,9366,9579,9807,10047,10268,10528,10788,11038,11308,11578,11853,12122,12394,12687,13007,13335,13641,13946,14255,14578,14908,15246,15572,15909,16229,16584,16945,17261,17608,17960,18358,18715,19103,19496,19876,20272,20642,21019,21421,21841,22223,22604,23010,23428,23860,24264,24697,25137,25578,26005,26457,26950,27428,27912,28386,28913,29425,29989,30576,31135,31686,32231,32784,33389,33966,34587,35186,35827,36473,37060,37744,38417,39077,39753,40424,41111,41829,42564,43363,44075,44839,45611,46404,47177,47995,48829,49683,50503,51396,52281,53201,54084,54992,55923,56795,57718,58732,59686,60688,61716,62748,63753,64766,65810,66900,68006,69097,70202,71314,72455,73725,74966,76233,77515,78755,80032,81296,82649,83969,85329,86585,87874,89213,90663,92031,93465,94865,96324,97825,99309,100787,102332,103941,105472,107059,108625,110284,111866,113516,115159,116866,118541,120283,122007,123719,125485,127250,129026,130857,132666,134549,136450,138365,140274,142242,144314,146317,148409,150442,152643,154727,156833,158959,161166,163478,165745,167951,170363,172708,175073,177436,179807,182316,184909,187415,189988,192605,195291,197965,200660,203438,206232,209146,211928,214831,217833,220839,223872,227052,230186,233322,236503,239848,243192,246673,250032,253500,257033,260657,264396,268131,271891,275753,279582,283436,287314,291332,295351,299419,303665,307810,312089,316377,320642,325036,329546,334144,338813,343474,348236,353052,357942,362769,367812,372898,378109,383403,388753,394187,399682,405170,410846,416566,422201,428199,434164,440167,446336,452528,458871,465388,471847,478394,484961,491802,498650,505455,512556,519650,527018,534359,541958,549434,557112,564733,572608,580467,588715,596759,605014,613330,621688,630189,639009,648025,656966,666074,675205,684510,693831,703387,713063,722669,732682,742557,752725,763041,773365,783827,794137,804668,815363,826193,837095,848244,859549,870916,882329,893796,905233,917184,929237,941426,953720,966079,978406,991310,1004062,1016801,1030024,1043433,1057028,1070655,1084663,1098737,1112763,1127112,1141577,1156345,1171240,1186510,1201597,1216850,1232620,1248411,1264217,1280321,1296675,1313171,1329965,1346853,1363887,1381018,1398392,1415913,1433525,1451413,1469115,1487258,1505284,1523419,1542064
1,1,1,1,1,1,2,3,5,6,10,12,15,15,15,15,19,22,25,29,39,45,51,59,65,78,90,96,104,117,129,141,151,164,181,198,212,219,229,240,259,276,283,295,311,320,335,349,362,372,385,400,417,433,448,467,490,516,529,546,562,590,611,626,647,673,697,725,758,783,812,843,868,891,918,944,970,993,1015,1037,1071,1095,1117,1152,1171,1193,1214,1245,1267,1305,1337,1362,1388,1405,1429,1448,1470,1496,1520,1549,1577,1600,1635,1658,1688,1714,1739,1752,1775,1806,1829,1859,1880,1914,1941,1963,1986,2014,2035,2053,2077,2097,2115,2147,2174,2204,2233,2270,2305,2339,2372,2415,2445,2486,2521,2553,2603,2625,2661,2698,2738,2764,2804,2848,2891,2931,2971,3021,3057,3093,3136,3179,3225,3286,3334,3387,3433,3489,3546,3610,3662,3729,3806,3875,3938,4022,4115,4181,4272,4364,4459,4559,4653,4749,4852,4959,5062,5156,5262,5365,5490,5595,5704,5806,5904,5984,6084,6192,6294,6411,6518,6628,6743,6869,6990,7097,7207,7325,7447,7558,7647,7753,7881,7999,8121,8225,8319,8441,8552,8669,8799,8902,9017,9118,9239,9383,9526,9660,9781,9909,10029,10153,10283,10406,10555,10714,10854,11018,11183,11318,11463,11619,11749,11903,12082,12254,12461,12640,12808,12981,13154,13356,13541,13718,13901,14112,14312,14521,14736,14926,15125,15329,15514,15739,15918,16172,16406,16600,16824,17038,17250,17469,17706,17958,18222,18460,18704,18952,19225,19487,19725,20023,20287,20551,20854,21122,21441,21763,22074,22425,22786,23085,23430,23787,24092,24443,24806,25164,25538,25884,26251,26610,26996,27393,27795,28175,28558,28927,29300,29673,30050,30440,30802,31173,31572,31994,32387,32780,33207,33620,34029,34462,34881,35309,35725,36183,36666,37198,37676,38177,38673,39193,39677,40194,40718,41237,41795,42363,42991,43616,44281,44895,45552,46210,46877,47521,48228,48929,49552,50274,50997,51706,52389,53110,53886,54666,55411,56164,56927,57699,58530,59331,60183,61028,61895,62763,63651,64576,65446,66289,67140,68057,68998,69918,70789,71792,72768,73764,74739,75735,76719,77690,78743,79811,80810,81825,82832,83867,84895,85911,87087,88214,89353,90497,91613,92751,94027,95218,96388,97552,98811,100054,101334,102601,103837,105176,106541,107994,109414,110829,112271,113741,115222,116721,118232,119787,121382,122951,124559,126289,127988,129681,131387,133100,134876,136640,138410,140250,142019,143871,145817,147729,149688,151571,153519,155437,157356,159262,161154,163201,165149,167122,169127,171226,173319,175434,177438,179528,181646,183861,186063,188203,190447,192736,195029,197341,199713,202125,204517,206986,209481,211977,214549,217254,219912,222626,225364,228076,230933,233822,236865,239897,242912,246038,249155,252316,255610,259005,262267,265640,268972,272501,275933,279576,283317,286997,290671,294418,298296,302297,306191,310103,314152,318242,322309,326403,330472,334547,338838,343294,347671,352121,356700,361277,365963,370770,375586
1,1,1,1,1,1,1,2,2,2,3,5,6,7,8,10,12,12,12,14,16,17,19,25,38,45,51,56,59,71,76,85,93,101,110,124,131,140,150,159,167,176,185,198,201,210,215,221,233,239,245,260,270,272,280,283,288,295,300,305,310,313,317,322,325,332,337,342,350,359,372,381,390,402,414,431,447,457,470,483,499,517,535,578,598,620,645,668,696,730,756,793,826,864,900,951,995,1034,1086,1126,1168,1202,1247,1297,1349,1395,1443,1502,1560,1618,1658,1694,1746,1794,1857,1902,1945,1999,2055,2107,2161,2203,2253,2314,2362,2407,2450,2509,2548,2601,2677,2729,2787,2842,2890,2948,3013,3072,3136,3198,3251,3311,3368,3439,3489,3551,3624,3694,3774,3849,3906,3976,4050,4122,4204,4293,4382,4460,4563,4674,4761,4863,4953,5047,5144,5216,5321,5404,5496,5591,5691,5786,5870,5977,6079,6191,6282,6362,6449,6547,6652,6749,6849,6946,7044,7154,7261,7358,7465,7589,7697,7797,7930,8067,8189,8319,8449,8582,8715,8848,8985,9108,9249,9414,9563,9721,9872,10029,10180,10341,10499,10666,10849,11017,11174,11332,11515,11693,11852,12045,12216,12390,12595,12791,12997,13179,13388,13615,13864,14096,14353,14563,14783,15006,15232,15448,15717,15936,16195,16446,16684,16932,17188,17463,17754,18016,18299,18567,18860,19145,19442,19754,20083,20389,20699,21033,21359,21690,22032,22384,22766,23165,23550,23923,24309,24676,25059,25465,25902,26301,26726,27138,27557,27991,28456,28903,29346,29799,30224,30676,31088,31542,31976,32436,32900,33415,33897,34411,34887,35360,35837,36332,36821,37313,37892,38428,38954,39500,40044,40614,41161,41704,42279,42853,43498,44046,44637,45232,45841,46443,47079,47698,48287,48963,49611,50218,50853,51489,52175,52847,53553,54279,55053,55767,56510,57296,58106,58883,59699,60525,61415,62303,63205,64102,65094,65990,66971,67887,68863,69853,70867,71969,73032,74071,75147,76238,77371,78496,79655,80849,82047,83218,84450,85712,87016,88232,89505,90762,92090,93506,94856,96220,97665,99161,100644,102159,103756,105307,106927,108482,110081,111751,113419,115058,116753,118417,120123,121848,123578,125362,127196,128958,130796,132768,134730,136688,138738,140746,142767,144897,147109,149283,151515,153718,156049,158343,160774,163276,165757,168342,170874,173366,176041,178646,181390,184142,186958,189848,192780,195720,198637,201617,204625,207709,210872,213963,217255,220506,223908,227180,230640,234070,237528,241106,244700,248331,252021,255736,259561,263432,267356,271333,275352,279391,283619,287868,292148,296479,300783,305250,309765,314371,318954,323604,328346,333047,337951,342948,347942,353061,358200,363477,368994,374539,380126,385903,391550,397299,403293,409113,415199,421448,427697,433891,440217,446822,453475,460305,467065,474000,480898,487962,494982,502091,509447,517045,524546,532023,539699,547492,555488,563449,571531,579528,587672,596213,604558,613106,621820,630743,639641,648440,657448,666662,675939,685374,694903
1,1,1,1,2,4,4,4,5,6,8,10,11,11,12,12,12,14,18,23,29,34,41,51,59,64,78,84,88,95,98,104,112,116,124,131,144,150,159,170,175,186,199,213,222,228,241,255,270,274,286,297,324,342,357,372,390,406,419,432,462,475,508,532,561,587,613,645,693,724,757,787,819,854,885,913,951,1000,1041,1078,1115,1155,1196,1222,1259,1311,1370,1421,1467,1508,1559,1605,1651,1698,1748,1813,1876,1926,1972,2034,2083,2145,2211,2270,2331,2397,2449,2518,2579,2642,2708,2771,2822,2900,2997,3072,3155,3244,3323,3401,3483,3564,3658,3744,3846,3947,4042,4133,4237,4338,4450,4562,4654,4773,4861,4980,5092,5186,5294,5425,5534,5650,5762,5871,5984,6096,6208,6328,6457,6586,6695,6820,6939,7048,7166,7293,7424,7537,7653,7785,7886,8005,8134,8246,8370,8487,8610,8728,8853,8964,9068,9184,9312,9429,9536,9641,9758,9848,9968,10094,10200,10338,10473,10598,10740,10908,11061,11238,11404,11569,11733,11910,12118,12300,12493,12701,12938,13137,13359,13573,13803,14049,14308,14523,14793,15039,15281,15566,15840,16113,16390,16634,16900,17181,17468,17771,18046,18312,18633,18966,19328,19697,20027,20352,20632,20968,21311,21664,22055,22422,22822,23197,23563,23958,24329,24735,25124,25562,25941,26375,26800,27220,27629,28041,28518,28954,29421,29849,30296,30735,31233,31703,32149,32647,33131,33570,34001,34489,34989,35495,36005,36495,36970,37534,38041,38571,39082,39625,40148,40676,41203,41699,42248,42840,43354,43882,44431,45027,45573,46138,46707,47271,47839,48411,48975,49626,50240,50847,51448,52111,52752,53403,54027,54695,55371,56030,56730,57418,58085,58847,59585,60376,61087,61813,62595,63433,64263,65056,65851,66700,67546,68434,69353,70252,71212,72144,73106,74136,75182,76207,77307,78414,79590,80787,81960,83087,84246,85481,86739,88063,89337,90600,91935,93201,94594,95914,97233,98679,100055,101528,103025,104509,105963,107453,109010,110540,112054,113714,115268,116906,118536,120258,121988,123721,125445,127289,129113,130927,132807,134724,136604,138602,140620,142622,144652,146727,148795,150826,153008,155112,157310,159494,161687,163924,166225,168570,170891,173260,175681,178058,180493,183065,185504,188060,190580,193148,195721,198456,201115,203861,206652,209394,212182,215046,217965,220910,223755,226749,229826,232916,236117,239368,242602,245845,249145,252468,255969,259521,263102,266644,270207,273816,277517,281224,285044,289018,292886,296920,300808,304907,308977,313232,317527,321679,325840,330244,334614,339190,343758,348347,353181,357965,362895,367705,372588,377642,382680,387858,393053,398327,403497,408876,414365,419753,425507,431193,436812,442527,448398,454414,460372,466425,472629,478927,485196,491666,498248,504951,511556,518230,524911,531836,538748,546175,553596,560963,568348,575944,583529,591362,599192,607077,615033,623132,631230,639323,647731,656232,664921,673713,682505,691480,700388,709430,718682,727981,737374,746848,756661,766451,776176,786231,796340,806554,816875,827372,837780
1,1,1,1,1,2,5,5,6,7,10,11,12,12,17,18,27,35,46,55,66,72,84,89,97,109,120,132,150,160,172,181,193,200,204,213,222,227,233,244,249,254,262,272,281,284,292,298,303,307,307,311,315,317,319,322,326,331,336,340,346,352,361,377,381,395,404,413,422,432,447,456,466,481,492,504,517,532,546,564,582,605,618,636,660,682,706,734,751,776,795,827,864,896,919,947,978,1008,1045,1075,1093,1117,1137,1166,1186,1225,1245,1271,1293,1320,1348,1378,1403,1427,1459,1482,1509,1533,1552,1575,1595,1623,1648,1674,1713,1740,1760,1774,1799,1822,1849,1867,1898,1927,1964,1994,2020,2055,2082,2109,2140,2185,2223,2255,2285,2323,2360,2403,2453,2501,2535,2578,2623,2656,2705,2748,2778,2813,2851,2896,2939,2977,3018,3054,3110,3168,3221,3274,3310,3376,3418,3480,3540,3595,3670,3731,3798,3882,3955,4045,4135,4205,4298,4397,4481,4570,4650,4762,4861,4955,5043,5128,5224,5325,5412,5485,5568,5656,5739,5840,5938,6034,6133,6223,6310,6400,6481,6575,6691,6812,6935,7031,7152,7265,7407,7542,7670,7817,7964,8130,8259,8419,8598,8766,8915,9086,9269,9428,9598,9781,9971,10162,10357,10559,10739,10934,11142,11349,11558,11776,12012,12233,12447,12668,12893,13123,13357,13580,13812,14083,14317,14552,14821,15078,15351,15621,15908,16208,16500,16815,17147,17473,17752,18090,18376,18659,18975,19299,19631,19943,20305,20682,21045,21427,21799,22180,22530,22884,23241,23628,24015,24410,24818,25271,25670,26076,26488,26916,27278,27715,28134,28555,28961,29418,29876,30367,30816,31249,31707,32155,32619,33080,33562,34010,34502,35012,35523,36029,36584,37136,37659,38238,38812,39377,39933,40529,41109,41694,42336,42965,43619,44262,44926,45602,46268,46935,47658,48311,49048,49739,50467,51288,52073,52834,53613,54399,55173,55997,56845,57718,58617,59536,60402,61381,62341,63325,64385,65401,66470,67521,68593,69665,70759,71930,73129,74292,75383,76589,77796,79017,80232,81453,82757,84006,85294,86570,87831,89102,90488,91865,93235,94642,96033,97483,98878,100288,101791,103236,104808,106315,107861,109407,110862,112483,114126,115787,117461,119184,120895,122686,124441,126161,127968,129801,131684,133550,135375,137330,139303,141257,143185,145263,147287,149472,151763,153901,156121,158417,160692,163077,165416,167887,170384,172781,175317,177777,180367,182805,185359,187955,190678,193454,196207,199030,201886,204707,207630,210487,213383,216279,219144,222136,225211,228243,231375,234558,237679,240929,244243,247531,250911,254271,257729,261127,264668,268272,271981,275717,279351,283179,287054,290884,294904,299036,303059,307213,311410,315614,319833,324298,328696,333220,337773,342393,346963,351742,356575,361457,366296,371279,376264,381417,386677,392118,397653,403180,408759,414298,420042,425787,431727,437713,443855,449970,456114,462496,469002,475457,481803,488358,495053,501776,508683,515626,522583,529631,536694
1,1,1,3,3,5,7,8,10,13,14,14,17,18,19,20,23,29,30,37,44,50,51,54,56,61,63,66,74,79,89,95,105,116,119,126,136,152,165,174,190,201,214,221,229,239,255,266,286,302,318,337,352,365,384,395,410,437,457,478,494,518,543,562,576,592,612,635,658,679,696,723,749,773,802,830,860,883,910,932,958,978,999,1027,1051,1091,1113,1150,1183,1221,1259,1292,1323,1361,1403,1445,1487,1524,1569,1619,1657,1707,1757,1798,1832,1879,1933,1984,2037,2089,2146,2206,2254,2308,2367,2422,2471,2517,2569,2617,2668,2713,2761,2812,2856,2897,2950,3007,3062,3111,3176,3229,3282,3335,3381,3433,3488,3550,3621,3693,3749,3802,3862,3920,4004,4051,4121,4192,4252,4311,4380,4447,4520,4595,4664,4736,4813,4898,4987,5095,5173,5252,5346,5443,5543,5648,5745,5832,5945,6059,6166,6284,6374,6484,6609,6730,6839,6954,7074,7218,7337,7455,7583,7692,7825,7942,8058,8181,8306,8424,8575,8719,8861,9001,9149,9304,9454,9601,9743,9909,10111,10261,10416,10579,10722,10910,11087,11273,11439,11603,11768,11952,12147,12322,12544,12731,12926,13124,13307,13509,13690,13872,14065,14278,14479,14682,14884,15065,15282,15510,15694,15910,16125,16329,16534,16748,16973,17212,17437,17679,17896,18109,18343,18549,18785,18997,19253,19467,19713,19947,20160,20423,20671,20947,21200,21451,21701,21941,22170,22451,22691,22969,23287,23575,23859,24158,24432,24690,24986,25281,25592,25897,26198,26516,26842,27179,27504,27833,28169,28502,28846,29174,29520,29900,30289,30689,31065,31437,31847,32260,32681,33115,33540,33991,34457,34903,35367,35864,36376,36895,37422,37949,38489,39015,39558,40160,40715,41293,41851,42446,43091,43710,44358,45005,45699,46423,47106,47768,48479,49247,49973,50739,51494,52297,53153,53999,54815,55584,56444,57302,58160,59066,59930,60791,61684,62611,63481,64335,65273,66231,67148,68097,69008,69983,70977,71954,73000,74039,75155,76250,77354,78513,79749,80871,82031,83249,84522,85732,86907,88162,89440,90790,92113,93429,94765,96212,97553,98921,100323,101788,103250,104692,106203,107687,109210,110683,112198,113723,115228,116794,118385,119891,121481,123068,124644,126239,127973,129608,131274,132885,134549,136311,138044,139818,141612,143434,145324,147261,149141,151112,153090,154992,156966,158962,161080,163120,165321,167551,169805,172157,174484,176876,179267,181672,184145,186596,189095,191625,194198,196837,199439,202139,204850,207631,210394,213304,216215,219111,222150,225128,228195,231324,234380,237561,240750,244130,247571,251079,254575,258092,261749,265418,269151,272986,276814,280802,284679,288898,293138,297281,301601,305940,310324,314801,319285,323903,328549,333320,338084,342786,347714,352919,357834,362931,368184,373531,378911,384438,389855,395320,400971,406723,412348,418210,424271,430231,436226,442328,448459,454778,461040,467542,474031,480533,487177,493808,500485,507378,514369,521424,528549,535721,543114,550539,557857,565305,572925
1,1,1,1,1,1,1,2,2,3,5,7,7,9,13,15,16,18,18,18,19,21,25,27,29,36,44,49,58,66,74,82,87,94,106,117,124,135,142,154,165,177,184,198,212,227,241,255,265,278,287,297,310,322,334,349,367,378,389,400,410,423,433,449,463,481,497,510,525,538,548,563,578,594,613,623,636,657,673,692,718,737,757,778,796,815,834,854,882,905,938,962,994,1018,1055,1087,1116,1154,1196,1233,1265,1296,1332,1369,1415,1459,1511,1551,1590,1620,1656,1689,1727,1780,1827,1871,1902,1940,1975,2022,2078,2120,2173,2238,2296,2368,2427,2493,2563,2643,2720,2794,2869,2932,3010,3091,3197,3316,3407,3484,3583,3679,3770,3874,3976,4084,4185,4284,4402,4496,4614,4707,4785,4896,5016,5120,5229,5344,5469,5587,5702,5817,5961,6091,6216,6355,6497,6650,6790,6950,7123,7301,7460,7617,7799,7965,8148,8329,8523,8743,8944,9122,9334,9559,9782,9989,10222,10451,10698,10971,11207,11471,11715,11981,12248,12500,12820,13101,13402,13669,13969,14303,14645,14980,15315,15657,16012,16377,16742,17108,17464,17854,18231,18625,19002,19400,19777,20165,20582,20971,21377,21786,22181,22571,23007,23425,23896,24350,24800,25243,25728,26241,26710,27171,27626,28117,28613,29183,29738,30292,30825,31353,31882,32415,33007,33553,34089,34613,35198,35769,36382,36987,37585,38187,38782,39372,40024,40654,41297,41958,42626,43296,43947,44692,45330,46053,46809,47544,48297,49030,49821,50594,51353,52125,52952,53777,54566,55375,56242,57140,58033,58866,59709,60574,61438,62384,63289,64219,65235,66151,67111,68092,69081,70111,71161,72187,73275,74321,75404,76511,77611,78717,79926,81164,82450,83728,84988,86258,87597,88942,90329,91669,93019,94457,95867,97329,98857,100407,101961,103550,105132,106764,108401,110058,111781,113547,115356,117105,118995,120950,122910,124860,126848,128873,130893,133042,135158,137320,139476,141719,143991,146314,148733,151099,153495,155864,158299,160853,163384,165936,168549,171199,173931,176657,179425,182263,184988,187838,190687,193535,196528,199527,202452,205465,208526,211661,214753,217953,221144,224384,227688,231167,234481,237968,241417,244797,248290,251784,255402,259039,262604,266309,270173,274032,277894,281842,285784,289851,294006,298240,302401,306568,310812,315165,319583,323981,328469,332925,337458,342255,347052,351838,356663,361667,366411,371276,376197,381191,386339,391569,396715,402148,407567,412960,418435,424019,429748,435507,441429,447132,453093,459119,465189,471398,477480,483803,490336,496825,503375,509863,516612,523274,530091,537116,544000,551132,558313,565538,572770,580094,587645,595157,602776,610539,618156,625776,633588,641491,649724,657877,665990,674277,682637,691195,700025,708932,717715,726548,735687,744851,754195,763621,773167,782784,792758,802855,813043,823542,833963,844657,855362,866175,877189,888301,899554,910958,922645,934433,946292,958450,970443,982895,995542,1008417,1021108,1034206,1047224,1060479,1073698,1087204,1100797,1114546,1128371,1142336,1156672,1171178,1185707
1,1,1,3,4,6,7,8,12,14,16,19,27,29,30,32,33,35,45,52,65,71,79,88,98,108,114,121,130,136,142,146,155,164,174,182,192,207,218,230,239,244,251,256,263,273,279,285,296,306,324,333,348,357,366,373,383,389,400,406,413,422,431,440,452,460,471,482,497,505,508,519,536,545,556,567,578,588,601,611,623,640,664,681,702,722,747,764,785,810,829,854,874,886,909,932,956,982,998,1020,1039,1056,1077,1097,1109,1120,1141,1155,1165,1175,1189,1200,1219,1236,1263,1283,1304,1331,1350,1368,1394,1423,1451,1478,1510,1534,1563,1593,1630,1655,1683,1712,1749,1791,1837,1872,1908,1946,1987,2037,2084,2131,2177,2217,2258,2314,2366,2399,2447,2505,2556,2606,2650,2702,2744,2796,2852,2909,2959,3013,3064,3121,3168,3224,3276,3339,3419,3487,3540,3609,3664,3714,3795,3870,3949,4026,4125,4203,4287,4375,4450,4526,4620,4691,4766,4849,4939,5020,5123,5205,5305,5397,5507,5620,5713,5812,5887,5988,6099,6212,6308,6405,6518,6622,6727,6832,6955,7053,7157,7276,7378,7487,7590,7687,7808,7904,8017,8135,8268,8414,8543,8672,8812,8959,9102,9245,9407,9579,9751,9925,10114,10311,10497,10701,10867,11047,11248,11444,11645,11835,12030,12215,12437,12664,12856,13077,13313,13544,13761,13979,14204,14415,14670,14916,15181,15423,15686,15919,16201,16446,16710,16998,17278,17589,17879,18144,18435,18743,19043,19327,19611,19930,20250,20558,20857,21204,21519,21835,22136,22470,22790,23136,23484,23820,24156,24511,24871,25254,25631,26003,26414,26768,27195,27560,27945,28399,28776,29168,29528,29912,30345,30736,31132,31516,31900,32327,32724,33162,33569,34008,34433,34867,35377,35859,36329,36806,37258,37758,38282,38749,39255,39744,40239,40778,41325,41863,42410,42964,43537,44111,44687,45283,45848,46483,47138,47766,48427,49088,49748,50410,51051,51741,52372,53025,53771,54480,55181,55926,56637,57327,58084,58831,59588,60356,61113,61906,62742,63469,64284,65135,65972,66810,67629,68479,69284,70162,71028,71901,72805,73754,74634,75599,76576,77551,78519,79465,80449,81489,82442,83492,84532,85588,86675,87698,88758,89866,90984,92148,93308,94449,95653,96849,97978,99131,100314,101512,102693,103949,105195,106498,107794,109089,110365,111675,112986,114330,115600,117023,118380,119748,121083,122561,123932,125520,127064,128600,130111,131639,133180,134786,136409,138022,139632,141380,143102,144827,146601,148355,150159,152060,153947,155857,157751,159533,161423,163262,165185,167073,169045,171066,173026,175027,177099,179149,181255,183294,185351,187464,189706,191871,194029,196234,198461,200834,203065,205384,207747,210150,212605,215051,217516,220028,222590,225114,227750,230357,233034,235929,238817,241595,244508,247483,250455,253456,256500,259587,262778,266010,269282,272582,275980,279276,282819,286224,289769,293473,297213,300966,304740,308544,312451,316447,320383,324469,328617,332759,336931
1,1,1,2,3,10,13,14,19,23,39,43,46,56,64,74,85,97,110,123,132,143,162,180,198,218,236,252,280,305,329,352,377,401,425,444,464,486,518,545,566,591,617,641,666,687,709,721,743,761,774,795,818,842,864,883,900,926,949,967,982,996,1010,1027,1053,1072,1092,1113,1137,1164,1198,1227,1259,1294,1313,1350,1384,1416,1459,1499,1536,1579,1613,1670,1712,1762,1823,1881,1949,1998,2048,2106,2163,2216,2271,2329,2380,2438,2501,2567,2617,2681,2735,2815,2883,2956,3038,3106,3182,3273,3351,3441,3518,3595,3683,3763,3856,3949,4047,4133,4222,4322,4415,4519,4618,4727,4836,4947,5051,5160,5268,5375,5488,5592,5709,5829,5952,6078,6216,6357,6507,6649,6804,6919,7095,7231,7394,7573,7740,7924,8112,8293,8482,8690,8913,9120,9364,9590,9834,10075,10334,10575,10800,11065,11343,11570,11806,12055,12355,12622,12899,13201,13501,13807,14087,14371,14686,14986,15334,15640,16015,16338,16654,16986,17336,17665,18020,18374,18739,19160,19542,19943,20307,20734,21121,21537,22008,22447,22901,23340,23797,24261,24745,25209,25635,26106,26564,27039,27534,28004,28495,28952,29422,29917,30436,30977,31509,31995,32531,33021,33539,34108,34659,35247,35795,36382,37028,37635,38255,38855,39475,40120,40768,41479,42203,42881,43551,44250,44950,45698,46476,47233,48010,48782,49591,50380,51185,51923,52783,53633,54488,55372,56198,57096,57954,58851,59835,60771,61742,62686,63712,64729,65780,66868,67932,69045,70122,71277,72493,73666,74850,76103,77354,78624,79902,81195,82528,83923,85218,86687,88042,89487,90964,92466,93958,95482,97073,98716,100293,101897,103609,105370,107105,108907,110648,112424,114190,115952,117711,119616,121574,123547,125568,127582,129657,131718,133780,135833,137927,140035,142158,144347,146602,148945,151184,153502,155824,158167,160617,163030,165559,168082,170670,173329,175864,178497,181180,183932,186724,189588,192357,195169,198053,201018,204053,207207,210221,213355,216397,219574,222786,226136,229468,232823,236328,239679,243258,246814,250391,253876,257406,261131,264867,268566,272450,276221,280115,284036,288058,292039,296124,300314,304638,308811,313211,317674,322233,326922,331584,336361,341188,346148,351073,356056,361180,366419,371730,377030,382477,387783,393234,398788,404382,410111,416028,421948,427941,434031,439986,446036,452192,458570,464978,471381,477916,484525,491206,497903,504693,511701,518662,525719,532809,540135,547490,554980,562542,570260,578112,586182,594174,602247,610329,618609,627052,635571,644075,652800,661560,670463,679676,688873,698018,707319,716895,726452,736110,745804,755753,765631,775833,786079,796169,806873,817420,828083,838768,849825,861042,872084,883190,894626,906104,918133,930015,941840,954003,966004,978455,991129,1003934,1016798,1029875,1043339,1056988,1070426,1084152,1097988,1112116,1126509,1140982,1155807,1170671,1185793,1200842,1216266,1231749,1247546,1263131,1279080,1295006,1311116,1327518,1344137,1360798,1377713,1394883,1412145,1429535,1447180,1464784,1482606,1500534,1518712,1537266,1555974,1574833,1594038,1613332,1632598,1651963,1671704,1691432,1711443,1731738,1752114,1772714
1,1,1,1,1,1,3,3,3,6,9,12,16,24,32,40,43,47,51,54,64,76,80,89,97,106,117,122,130,144,156,166,181,199,212,234,251,267,291,311,329,359,387,427,453,482,515,554,595,630,669,707,751,789,837,883,944,992,1036,1090,1141,1183,1235,1292,1337,1393,1452,1512,1587,1639,1687,1749,1832,1910,1982,2046,2129,2190,2275,2348,2439,2553,2654,2762,2839,2930,3050,3162,3291,3428,3524,3637,3764,3892,4024,4156,4303,4440,4577,4724,4857,5024,5182,5326,5486,5636,5826,5991,6202,6380,6561,6731,6919,7117,7353,7570,7783,7982,8197,8446,8652,8877,9096,9336,9582,9813,10087,10347,10608,10841,11116,11413,11680,11953,12242,12554,12859,13176,13501,13825,14159,14507,14862,15180,15537,15895,16278,16640,17034,17430,17836,18281,18746,19179,19607,20046,20471,20927,21426,21897,22360,22799,23265,23760,24273,24809,25321,25785,26263,26741,27271,27802,28291,28829,29316,29856,30409,30965,31590,32193,32746,33333,33919,34490,35100,35718,36335,37014,37714,38401,39082,39796,40551,41284,42043,42757,43535,44296,45078,45822,46595,47348,48148,48925,49711,50554,51320,52112,52938,53737,54586,55440,56281,57119,57968,58881,59808,60642,61525,62445,63351,64238,65260,66203,67252,68234,69230,70267,71360,72458,73580,74705,75830,76977,78108,79285,80468,81696,82944,84185,85381,86615,87898,89229,90580,91824,93131,94438,95759,97172,98507,99846,101255,102672,104107,105551,106888,108259,109681,111168,112617,114162,115679,117095,118583,120202,121861,123458,125178,126814,128572,130225,131933,133649,135470,137304,139210,141042,142992,144914,146910,148906,150944,153082,155183,157260,159499,161654,163877,166092,168506,170837,173259,175683,178145,180578,183012,185477,187970,190540,193265,195826,198472,201167,203894,206712,209532,212280,215151,217989,220922,223964,226940,229948,233038,236162,239212,242468,245736,248989,252385,255674,259072,262606,266137,269692,273275,276955,280585,284305,288106,292045,295980,299917,303932,307968,312095,316354,320647,325039,329407,333717,338106,342689,347279,351975,356718,361599,366324,371130,376026,381039,386003,391277,396419,401582,406898,412178,417492,422923,428471,433957,439595,445161,450751,456419,462424,468528,474386,480437,486641,493040,499385,505871,512470,519106,525936,532670,539598,546594,553821,560850,568170,575478,582840,590269,597919,605730,613424,621242,629295,637357,645487,653565,661775,670134,678675,687100,695672,704443,713334,722377,731307,740496,749701,758959,768267,777674,787206,796928,806743,816618,826547,836598,846746,857316,867794,878241,888888,899710,910582,921613,932877,944529,956197,967723,979435,991245,1003447,1015544,1027907,1040482,1052989,1065497,1078692,1091722,1105078,1118411,1132129,1145792,1159704,1173771,1188138,1202549,1217113,1231929,1246771,1261798,1277010,1292655,1308447,1324604,1341066,1357410,1373908,1390368,1407232,1424336,1441541,1458789,1476331,1494068,1512262,1530201,1548523,1566941,1585412,1604253,1623455,1642631,1662410,1681927,1701614,1721797,1742023,1762335,1782776,1803662,1824680,1845609,1866678,1888280,1910013,1931934,1953931,1976208,1998552,2020846,2043306,2066407,2089461,2112910,2136669,2160791,2185079,2209389,2234001
1,1,1,1,1,1,1,1,2,3,3,3,4,7,8,10,10,12,14,17,19,20,21,25,26,32,40,42,45,46,47,50,53,58,66,72,76,86,102,113,128,136,144,153,169,178,192,197,207,216,227,239,250,263,269,277,293,308,318,334,345,354,375,390,405,430,450,461,484,499,518,537,555,571,603,624,650,674,690,712,742,765,786,816,847,875,905,931,956,986,1021,1062,1097,1142,1181,1219,1263,1313,1358,1412,1473,1532,1591,1636,1687,1745,1820,1891,1947,2022,2097,2175,2260,2338,2414,2500,2582,2677,2760,2847,2949,3046,3154,3269,3361,3471,3571,3691,3802,3921,4040,4158,4272,4392,4521,4639,4775,4895,5040,5197,5326,5478,5602,5743,5889,6023,6165,6341,6488,6645,6791,6948,7089,7255,7406,7569,7756,7897,8054,8247,8381,8551,8736,8900,9061,9252,9428,9604,9798,9958,10175,10386,10574,10769,10951,11157,11373,11609,11815,12022,12249,12444,12667,12894,13109,13377,13615,13898,14112,14409,14673,14932,15183,15488,15789,16081,16369,16669,16948,17245,17548,17860,18156,18472,18828,19191,19564,19898,20272,20672,21040,21400,21790,22229,22597,23061,23470,23870,24298,24731,25186,25681,26165,26654,27186,27678,28143,28673,29188,29737,30262,30842,31393,31948,32538,33094,33660,34285,34872,35491,36122,36757,37379,38021,38704,39347,40050,40691,41404,42136,42890,43631,44400,45169,45935,46706,47438,48169,48975,49743,50539,51427,52239,53141,54029,54899,55772,56637,57554,58533,59484,60449,61468,62461,63522,64540,65636,66632,67740,68855,70078,71309,72497,73707,74934,76247,77504,78797,80054,81323,82652,83971,85344,86680,88020,89397,90823,92246,93595,94992,96377,97830,99237,100712,102236,103759,105241,106824,108315,109942,111587,113253,114856,116526,118285,120022,121787,123553,125333,127282,129063,131022,132862,134842,136804,138879,140992,143020,145074,147191,149320,151591,153770,156000,158224,160505,162769,165177,167670,170169,172719,175266,177807,180412,183153,185842,188501,191234,194011,196736,199577,202499,205371,208307,211210,214168,217156,220178,223236,226291,229444,232664,235844,239103,242293,245537,248897,252221,255494,258869,262309,265810,269322,272827,276225,279812,283461,287114,290810,294680,298534,302494,306409,310437,314624,318725,322901,327255,331539,335800,340228,344647,349245,353707,358252,362916,367625,372260,377150,381953,386911,391995,397054,402099,407332,412571,417891,423286,428798,434219,439857,445581,451465,457390,463364,469418,475551,481743,488159,494571,501092,507755,514507,521557,528455,535453,542600,549883,557201,564482,572034,579724,587376,595145,603011,610838,618651,626674,635051,643220,651502,659820,668488,677208,685931,694768,703746,712465,721403,730403,739824,749353,758984,768542,778277,788016,797903,807935,818213,828641,839007,849703,860694,871553,882382,893445,904715,916084,927720,939456,951349,963206,975379,987563,1000012,1012653,1025130,1037911,1050881,1064020,1077605,1091298,1104945,1118950,1132874,1147083,1161431,1175849,1190434,1205225,1220176,1235168,1250588,1265944,1281603,1297344,1313089
1,1,1,2,3,6,6,9,10,11,12,16,17,19,19,22,23,24,25,29,33,37,41,46,50,54,56,60,66,67,74,78,85,95,103,108,113,120,130,143,153,169,176,193,206,218,236,244,248,264,281,290,307,324,339,368,387,406,419,439,468,488,514,546,572,603,640,659,695,724,759,805,841,880,920,963,1006,1064,1097,1149,1200,1246,1292,1343,1389,1428,1466,1513,1560,1595,1647,1679,1736,1789,1838,1895,1949,2011,2061,2108,2164,2224,2286,2334,2379,2424,2476,2536,2587,2637,2695,2750,2796,2859,2918,2973,3014,3065,3126,3192,3257,3310,3354,3426,3478,3525,3576,3631,3697,3767,3840,3903,3953,4022,4091,4144,4208,4265,4335,4397,4471,4532,4585,4656,4717,4794,4870,4960,5048,5142,5220,5292,5380,5484,5567,5650,5733,5826,5903,5985,6096,6195,6301,6404,6507,6623,6734,6834,6954,7076,7210,7338,7473,7596,7723,7844,7984,8122,8262,8431,8611,8758,8908,9054,9225,9376,9549,9727,9904,10084,10283,10455,10640,10812,11017,11205,11410,11634,11840,12055,12227,12477,12707,12922,13154,13370,13599,13814,14055,14306,14590,14857,15128,15381,15676,15958,16243,16548,16856,17165,17476,17790,18047,18350,18668,18997,19335,19698,20048,20417,20773,21147,21520,21905,22306,22661,23060,23440,23845,24249,24650,25080,25494,25918,26341,26761,27213,27646,28137,28658,29140,29651,30142,30638,31189,31668,32169,32651,33145,33698,34218,34733,35320,35895,36480,37053,37637,38182,38777,39378,39952,40582,41213,41877,42520,43143,43815,44484,45102,45747,46413,47092,47778,48456,49211,49910,50617,51349,52086,52842,53645,54386,55135,55876,56645,57412,58222,59034,59818,60690,61548,62401,63257,64146,65054,65935,66862,67803,68730,69688,70661,71649,72658,73682,74724,75728,76769,77789,78831,79873,80974,82112,83225,84327,85438,86603,87765,88952,90066,91240,92369,93587,94787,96023,97263,98545,99856,101131,102505,103859,105194,106581,107967,109389,110841,112353,113852,115380,116927,118429,120057,121743,123366,125020,126667,128320,130046,131801,133603,135499,137370,139242,141185,143015,144909,146808,148745,150706,152718,154734,156861,158958,161078,163179,165398,167668,169986,172294,174553,176870,179204,181600,184102,186694,189174,191651,194138,196675,199220,201877,204541,207141,209750,212511,215296,218169,221098,224008,226974,229760,232733,235694,238767,241788,244918,248038,251271,254533,257765,261076,264523,267937,271493,275189,278690,282365,285946,289633,293499,297254,301061,304974,309010,313076,317310,321523,325628,329972,334280,338669,343126,347694,352117,356716,361282,365806,370537,375333,380071,385007,389915,394909,399892,404929,410056,415279,420664,426093,431543,437056,442595,448352,454014,459827,465722,471870,477916,484163,490316,496780,503236,509772,516536,523110,529994,536801,543573,550523,557638,564670,572112,579347,586762,594237,601828,609567,617193,624916,632870,640795,648637,656643,665051,673552,681980,690596,699552,708379,717089,725967,735070,744283,753619,763192,772759,782450,792522
1,1,1,1,1,1,5,5,5,8,9,12,16,21,23,35,38,46,49,53,55,60,66,76,80,89,94,103,110,114,125,134,140,151,160,168,173,182,194,204,206,213,217,222,228,233,238,243,249,255,257,262,266,271,278,282,290,295,299,304,306,311,314,316,319,326,329,337,340,349,359,367,376,383,388,397,407,421,431,441,453,469,483,498,515,542,552,567,576,587,609,629,651,677,696,719,734,752,774,795,819,832,845,862,878,891,912,938,970,994,1018,1042,1068,1082,1106,1128,1148,1165,1182,1203,1223,1242,1271,1287,1315,1354,1387,1413,1455,1485,1520,1553,1581,1612,1643,1678,1729,1765,1804,1840,1883,1931,1968,2017,2064,2113,2167,2235,2297,2362,2439,2503,2566,2631,2700,2786,2856,2943,3046,3143,3246,3342,3433,3537,3635,3734,3868,4002,4137,4266,4396,4548,4722,4868,5015,5162,5320,5506,5699,5876,6059,6245,6412,6613,6812,7020,7208,7397,7594,7798,8013,8242,8461,8721,8960,9200,9419,9659,9913,10156,10411,10699,10948,11200,11494,11799,12096,12398,12697,12998,13321,13661,13992,14344,14685,14995,15378,15753,16104,16458,16791,17182,17535,17911,18285,18670,19035,19416,19817,20208,20577,20942,21308,21702,22090,22502,22950,23402,23867,24316,24773,25226,25761,26236,26747,27260,27780,28300,28765,29289,29788,30361,30911,31454,32014,32573,33160,33746,34303,34891,35482,36046,36620,37188,37790,38406,38987,39601,40268,40874,41516,42138,42808,43418,44091,44759,45438,46158,46854,47551,48338,49100,49833,50610,51388,52177,53021,53893,54776,55646,56548,57477,58361,59259,60241,61195,62094,63040,64061,65052,66097,67156,68284,69438,70561,71719,72877,74076,75221,76469,77636,78890,80085,81365,82656,83964,85277,86591,87982,89334,90799,92197,93685,95127,96646,98217,99733,101362,102961,104479,106069,107712,109281,110906,112589,114265,115935,117610,119307,121103,122889,124717,126561,128413,130249,132063,133913,135843,137775,139711,141630,143526,145490,147451,149437,151413,153435,155467,157496,159634,161728,163832,166041,168177,170349,172533,174827,177128,179388,181795,184200,186564,189100,191550,194138,196644,199187,201858,204445,207172,210049,212901,215669,218471,221250,224182,227121,230223,233186,236252,239433,242577,245665,248865,252064,255318,258569,261876,265322,268773,272254,275826,279290,282889,286592,290251,293933,297557,301425,305310,309211,313250,317479,321652,325805,330080,334384,338856,343272,347940,352596,357170,361839,366668,371576,376565,381739,386685,391598,396883,402067,407274,412647,418092,423383,429131,434706,440331,446111,452012,457884,463840,469661,475754,481820,488040,494383,500752,507286,513793,520406,527194,534043,540921,547782,554960,562249,569455,576731,584087,591561,599330,607073,615045,622912,631102,639183,647396,655818,664232,672917,681507,690227,699245,708334,717325,726411,735598,744911,754399,764051,773904,783795,793931,804015,814237,824658,835233,845793,856614,867588,878664,889864,901113,912589,924077,935839
1,1,1,1,1,3,4,7,9,9,13,15,17,17,20,25,30,33,41,43,48,56,71,79,89,93,104,114,124,136,146,153,165,173,185,195,211,218,227,238,245,261,269,274,286,294,304,320,327,336,344,352,365,379,390,399,411,420,430,440,455,475,494,515,539,560,578,594,614,645,665,692,713,739,762,803,827,867,897,927,962,988,1021,1059,1084,1128,1159,1202,1235,1279,1323,1363,1406,1437,1479,1511,1546,1589,1627,1657,1685,1717,1757,1787,1820,1853,1882,1907,1939,1963,1997,2032,2063,2095,2119,2140,2164,2196,2235,2259,2286,2316,2349,2375,2408,2431,2472,2498,2541,2567,2596,2636,2662,2698,2735,2778,2808,2848,2878,2919,2967,3009,3063,3098,3144,3200,3252,3277,3322,3360,3403,3456,3500,3547,3605,3641,3687,3738,3770,3816,3867,3913,3950,4004,4061,4126,4176,4231,4279,4342,4395,4447,4511,4571,4638,4706,4771,4836,4903,4972,5056,5127,5216,5294,5372,5449,5539,5628,5717,5806,5903,5999,6100,6201,6301,6404,6528,6630,6750,6837,6940,7042,7141,7257,7378,7468,7560,7694,7800,7918,8026,8142,8264,8381,8490,8617,8737,8881,9001,9105,9229,9352,9493,9620,9730,9853,9967,10086,10223,10342,10471,10605,10725,10845,10979,11109,11257,11376,11502,11643,11773,11895,12018,12131,12251,12376,12496,12616,12755,12881,12989,13111,13267,13399,13545,13690,13832,13988,14141,14305,14478,14646,14810,14989,15160,15362,15549,15755,15962,16137,16339,16514,16715,16902,17126,17310,17524,17710,17885,18120,18332,18574,18797,19029,19252,19502,19760,20036,20322,20584,20842,21111,21369,21663,21985,22302,22638,22958,23299,23601,23913,24268,24607,24971,25325,25676,26046,26432,26798,27203,27588,27981,28384,28796,29187,29623,30085,30520,31029,31490,31996,32430,32942,33441,33911,34397,34913,35412,35896,36388,36916,37417,37912,38461,38988,39531,40071,40630,41166,41745,42278,42851,43462,44042,44675,45280,45893,46540,47192,47849,48509,49195,49898,50575,51308,52064,52812,53533,54262,55036,55781,56533,57299,58052,58839,59613,60405,61176,61978,62710,63478,64292,65134,65984,66911,67751,68603,69459,70288,71170,72126,73033,73965,74928,75934,76929,77941,78844,79853,80881,81888,82957,84016,85089,86218,87335,88544,89699,90883,92102,93318,94612,95944,97204,98518,99831,101069,102423,103770,105101,106499,107933,109291,110700,112142,113625,115106,116557,118180,119772,121434,123058,124764,126487,128219,129934,131704,133510,135355,137217,139139,141155,143149,145267,147374,149450,151600,153722,155966,158196,160376,162703,165095,167428,169871,172372,174952,177435,179950,182595,185293,187997,190677,193498,196325,199058,201904,204734,207735,210681,213751,216825,219930,223052,226316,229561,232956,236332,239756,243190,246669,250360,253973,257734,261413,265314,269159,273159,277126,281176,285169,289351,293620,297874,302285,306643,311096,315580,320203,324886,329573,334305,338991,343845,348692,353648,358639
1,1,2,2,5,6,6,7,8,9,11,12,12,17,18,27,29,39,46,46,52,60,66,73,84,94,99,110,117,129,137,143,151,161,168,183,193,198,210,223,231,238,247,257,267,281,293,304,314,321,327,341,351,366,382,398,416,432,445,457,470,492,505,517,528,546,559,573,589,600,621,636,654,666,683,699,715,734,763,783,807,830,855,864,886,905,919,941,965,989,1008,1032,1054,1080,1102,1122,1144,1159,1177,1189,1202,1218,1237,1261,1276,1291,1305,1319,1328,1339,1353,1371,1381,1397,1413,1429,1444,1453,1466,1475,1488,1504,1518,1538,1553,1571,1591,1608,1625,1634,1660,1686,1710,1737,1759,1778,1804,1824,1849,1868,1892,1919,1935,1966,1990,2023,2052,2076,2106,2133,2170,2200,2226,2263,2304,2339,2382,2423,2460,2507,2553,2593,2629,2669,2713,2752,2804,2856,2920,2963,3024,3062,3109,3150,3203,3268,3328,3389,3440,3482,3538,3602,3663,3723,3782,3845,3918,3991,4056,4115,4193,4259,4318,4381,4445,4512,4583,4648,4735,4805,4892,4959,5039,5133,5234,5341,5437,5536,5633,5727,5812,5896,6018,6108,6211,6322,6422,6524,6643,6758,6876,6994,7132,7264,7395,7530,7672,7811,7950,8085,8230,8359,8490,8627,8780,8930,9066,9221,9372,9553,9704,9895,10049,10243,10447,10636,10814,10985,11176,11389,11602,11822,12038,12275,12517,12776,13029,13263,13529,13778,14054,14323,14587,14850,15133,15401,15693,15959,16253,16532,16808,17136,17430,17743,18055,18367,18703,19054,19398,19737,20087,20422,20789,21141,21503,21868,22202,22584,22939,23310,23689,24098,24428,24837,25282,25674,26067,26496,26959,27420,27890,28353,28812,29326,29844,30370,30886,31423,31941,32514,33049,33629,34232,34817,35453,36046,36658,37276,37904,38552,39164,39826,40409,41062,41688,42372,43063,43737,44452,45127,45794,46449,47190,47900,48638,49336,50030,50768,51544,52325,53096,53912,54701,55508,56294,57144,57958,58779,59657,60520,61404,62276,63117,63978,64853,65755,66635,67551,68467,69396,70340,71357,72406,73438,74485,75543,76605,77708,78818,79968,81094,82210,83436,84687,85899,87215,88458,89743,90988,92344,93658,95058,96404,97840,99280,100751,102245,103766,105265,106817,108435,110023,111632,113301,115017,116792,118499,120247,122091,123865,125729,127525,129427,131285,133212,135158,137134,139123,141170,143150,145176,147237,149317,151480,153623,155859,158083,160277,162575,164949,167361,169829,172137,174640,177215,179886,182448,185012,187621,190321,193029,195686,198451,201337,204175,207218,210277,213301,216431,219585,222851,226067,229293,232667,236084,239592,243132,246816,250412,254213,257954,261818,265845,269860,273990,278253,282451,286679,291150,295639,300177,304815,309545,314329,319289,324187,329065,334054,339132,344368,349627,354868,360240,365751,371251,376849,382525,388500,394402,400342,406401,412581,418927,425259,431636,438450,444985,451672,458653,465647,472683,479550,486741,493987,501487,509096,516718
1,1,1,1,2,3,4,8,8,10,10,10,10,10,11,14,20,23,31,35,42,44,46,51,55,62,63,69,76,85,92,102,114,126,135,144,154,166,173,183,198,217,231,250,269,282,294,317,332,346,362,391,412,435,454,480,497,518,546,575,603,632,666,693,717,763,807,857,887,932,987,1046,1089,1139,1194,1244,1293,1357,1425,1498,1560,1627,1703,1785,1854,1926,1985,2050,2112,2177,2242,2323,2404,2485,2559,2618,2692,2771,2872,2968,3035,3108,3177,3245,3328,3426,3494,3590,3692,3773,3873,3977,4082,4187,4268,4381,4475,4582,4695,4817,4933,5055,5167,5288,5415,5549,5647,5787,5912,6051,6199,6350,6486,6626,6765,6914,7049,7221,7377,7514,7674,7834,7981,8148,8349,8509,8696,8892,9062,9225,9410,9614,9842,10059,10251,10475,10694,10910,11154,11384,11636,11880,12128,12379,12662,12946,13182,13464,13732,13995,14262,14544,14840,15129,15426,15728,16060,16361,16657,17001,17351,17653,17995,18331,18663,19045,19409,19747,20106,20513,20889,21283,21696,22100,22560,23006,23430,23844,24303,24752,25283,25769,26249,26676,27182,27672,28163,28669,29215,29741,30350,30952,31547,32152,32753,33342,33994,34651,35316,36020,36705,37353,38098,38776,39476,40261,40982,41721,42560,43305,44110,44879,45630,46378,47188,47999,48822,49644,50487,51268,52138,53055,53907,54743,55641,56572,57432,58347,59293,60286,61234,62240,63224,64172,65154,66206,67255,68315,69322,70318,71319,72362,73497,74598,75737,76883,77945,79062,80255,81483,82635,83817,85058,86327,87625,88868,90117,91413,92652,94005,95351,96819,98214,99550,100986,102429,103896,105514,107044,108553,110171,111726,113373,114988,116607,118326,120024,121761,123558,125365,127168,128966,130836,132738,134712,136673,138616,140648,142670,144652,146715,148742,150910,153095,155281,157470,159720,162028,164341,166705,169087,171479,173819,176154,178631,181212,183733,186288,188900,191443,194031,196713,199529,202331,205133,207932,210788,213709,216634,219652,222685,225787,228934,232185,235433,238797,242239,245608,249054,252509,256053,259634,263294,267071,270781,274522,278362,282339,286276,290244,294272,298369,302453,306568,310825,315244,319613,324007,328396,332824,337447,342118,346866,351511,356168,361061,365943,370883,375874,380951,386080,391303,396684,401893,407083,412591,418050,423614,429234,434953,440700,446400,452311,458345,464441,470620,476943,483090,489454,495794,502259,508986,515707,522426,529290,536236,543349,550477,557709,565036,572508,579953,587627,595131,603088,611056,619216,627413,635537,643922,652457,660976,669758,678492,687409,696510,705886,715147,724784,734313,743915,753591,763459,773589,783671,793888,804416,814671,825336,836207,847170,858251,869417,880759,892194,903624,915068,926972,938975,951009,963296,975706,988219,1001159,1014033,1027010,1040488,1053746,1067423,1081049,1095032,1109223,1123373,1137912,1152623,1167091,1181724,1196676,1212074,1227395,1242969,1258521,1274336,1290397,1306875,1323486,1340260,1357386,1374416,1391550,1408785,1426284,1444338,1462122,1480123,1498522,1517037,1535565,1554433,1573410,1592443,1611668,1631182,1650672,1670687,1690389,1710395
1,1,2,2,2,3,3,4,7,7,8,8,15,18,23,24,27,34,36,43,47,53,64,67,75,79,85,89,102,107,116,121,129,137,146,161,168,172,181,193,203,210,217,223,235,244,251,258,271,275,284,293,309,317,330,334,343,357,366,372,377,387,399,407,418,430,444,454,473,496,520,538,564,585,608,640,666,706,743,766,801,837,876,917,960,1017,1054,1102,1143,1185,1244,1303,1353,1422,1480,1537,1593,1649,1706,1766,1826,1894,1970,2035,2095,2167,2235,2314,2389,2466,2547,2620,2699,2769,2846,2923,3004,3076,3165,3248,3330,3401,3478,3564,3640,3746,3846,3934,4022,4125,4222,4312,4424,4531,4655,4795,4932,5075,5220,5379,5527,5683,5837,5997,6124,6280,6429,6592,6785,6937,7125,7303,7485,7677,7855,8038,8196,8387,8556,8736,8914,9139,9336,9505,9698,9917,10113,10306,10501,10692,10874,11062,11254,11467,11668,11888,12078,12296,12509,12725,12936,13169,13384,13616,13850,14079,14291,14521,14744,14966,15234,15494,15735,15979,16238,16509,16761,17034,17300,17606,17879,18144,18432,18719,18972,19260,19575,19919,20263,20605,20952,21346,21777,22188,22540,22917,23300,23668,24062,24469,24911,25371,25832,26264,26679,27121,27571,28029,28461,28887,29343,29785,30266,30705,31179,31656,32132,32601,33123,33634,34136,34683,35171,35695,36233,36789,37343,37915,38542,39121,39735,40395,40987,41599,42289,42957,43613,44296,44968,45682,46397,47080,47831,48556,49298,50116,50919,51678,52462,53293,54106,54933,55757,56590,57489,58410,59308,60197,61133,62058,63071,64083,65127,66137,67133,68148,69275,70448,71518,72680,73877,75065,76296,77528,78793,80106,81452,82730,84069,85383,86691,88067,89481,90846,92273,93686,95186,96684,98226,99738,101301,102873,104481,106199,107814,109566,111282,112970,114749,116496,118367,120224,122163,124025,125958,127981,129949,131979,134103,136258,138411,140575,142701,144904,147163,149438,151740,154093,156461,158827,161307,163733,166175,168642,171160,173663,176292,178854,181636,184382,187155,190026,192954,195879,198825,201809,204813,207870,211028,214190,217474,220762,224081,227483,230918,234509,237989,241583,245251,248823,252559,256266,260018,263897,267828,271667,275696,279740,283833,288002,292437,296607,300938,305277,309696,314117,318645,323333,328070,332766,337608,342595,347619,352601,357632,362819,368034,373293,378690,384118,389489,394885,400458,406025,411772,417624,423495,429431,435586,441658,447849,454192,460463,466817,473124,479634,486265,492983,499808,506669,513611,520583,527550,534563,541968,549315,556576,563927,571544,579158,586837,594720,602536,610485,618743,627009,635410,643909,652463,661092,669878,678877,687777,696876,706112,715684,725222,734750,744460,754344,764572,774846,785168,795906,806467,817296,828160,839303,850479,862165,873681,885468,897196,909126,921279,933624,946184,958752,971390,984421,997368,1010516,1023666,1037061,1050475,1063919,1077966,1092216,1106420,1120911,1135446,1150142,1164855,1179855,1195172,1210376,1225832,1241312,1257339,1273402,1289591,1305970,1322518,1339410,1356508,1373821,1391446
1,1,1,2,4,5,7,9,11,12,13,13,14,17,27,36,46,54,65,75,88,100,107,118,131,136,142,152,159,168,176,184,200,208,212,221,231,240,241,245,250,254,261,264,267,270,274,278,283,285,291,295,298,307,314,322,326,332,346,358,365,373,387,401,410,422,442,450,462,476,490,504,521,531,549,568,596,613,628,647,663,676,696,724,737,761,785,797,813,848,866,882,902,918,944,972,986,1006,1023,1052,1074,1095,1128,1138,1165,1192,1223,1240,1253,1266,1289,1309,1331,1357,1374,1405,1429,1450,1466,1490,1513,1542,1567,1593,1635,1668,1702,1743,1783,1825,1861,1909,1955,2017,2075,2121,2182,2250,2304,2362,2414,2476,2545,2597,2666,2725,2796,2869,2945,3037,3108,3191,3276,3374,3460,3537,3627,3722,3803,3903,3997,4101,4199,4299,4394,4520,4639,4742,4864,4961,5071,5181,5280,5386,5484,5595,5700,5824,5940,6061,6195,6315,6436,6546,6667,6805,6938,7075,7193,7335,7463,7610,7736,7857,8015,8168,8320,8479,8621,8761,8918,9088,9255,9414,9597,9760,9938,10098,10269,10409,10583,10778,10962,11131,11331,11513,11702,11875,12085,12316,12531,12773,13005,13217,13469,13677,13897,14113,14358,14643,14897,15165,15420,15703,15980,16252,16514,16833,17128,17452,17732,18005,18298,18586,18897,19206,19484,19791,20136,20452,20786,21099,21436,21800,22104,22464,22803,23188,23554,23930,24330,24786,25212,25621,26107,26567,27020,27515,27975,28420,28948,29412,29878,30376,30903,31470,31996,32471,33013,33536,34080,34630,35169,35698,36229,36814,37419,38020,38588,39169,39766,40414,41106,41701,42368,42987,43637,44288,44924,45631,46356,47098,47822,48612,49410,50169,50962,51716,52497,53341,54175,55020,55902,56830,57680,58557,59458,60388,61329,62323,63304,64274,65311,66362,67394,68444,69484,70593,71689,72752,73876,75065,76213,77365,78514,79772,80940,82140,83417,84728,86015,87233,88535,89910,91222,92551,93861,95307,96652,98011,99468,100852,102373,103916,105428,107015,108572,110150,111791,113371,115035,116691,118406,120226,121919,123714,125459,127341,129191,131113,133042,135021,136961,138851,140779,142680,144700,146731,148791,150816,152868,154997,157084,159239,161505,163746,166047,168318,170584,172919,175231,177560,179999,182389,184868,187419,189861,192292,194909,197500,200125,202784,205507,208229,210935,213769,216564,219422,222257,225234,228192,231339,234332,237532,240816,244090,247329,250675,254129,257522,260995,264466,268056,271645,275349,279060,282967,286799,290673,294583,298591,302546,306570,310766,315121,319421,323791,328224,332687,337190,341714,346313,351026,355809,360547,365603,370640,375712,380798,385982,391262,396592,401908,407244,412702,418212,423849,429320,434906,440622,446419,452363,458318,464298,470462,476769,483024,489550,495897,502415,509083,515929,522898,529701,536721,543824,550850,558165,565465,572874,580332,587856,595622,603478,611392,619397,627534,635721,643885,652258,660842,669509,678267,687381,696378,705313,714541
1,1,1,1,3,4,6,7,9,10,13,13,13,13,14,16,18,23,27,31,34,40,47,50,50,57,60,69,78,95,98,104,108,124,132,139,148,154,161,163,172,179,191,197,209,218,226,240,251,260,272,279,287,295,300,309,324,334,343,351,364,374,381,403,416,426,440,451,467,476,489,516,540,565,581,598,617,632,657,676,695,709,736,751,782,806,830,849,868,894,917,942,974,999,1026,1045,1078,1107,1132,1163,1188,1220,1255,1285,1327,1358,1388,1426,1449,1505,1546,1579,1609,1648,1692,1741,1788,1834,1883,1928,1992,2050,2101,2148,2206,2266,2335,2394,2448,2519,2581,2642,2707,2794,2867,2930,2992,3057,3127,3204,3289,3379,3451,3523,3615,3700,3792,3883,3975,4075,4155,4225,4327,4430,4514,4599,4703,4807,4895,4985,5095,5195,5315,5415,5510,5608,5693,5786,5892,5978,6068,6162,6258,6335,6407,6495,6601,6693,6779,6880,6993,7077,7164,7262,7341,7459,7563,7695,7806,7927,8027,8138,8260,8387,8512,8642,8775,8900,9039,9174,9291,9430,9578,9701,9861,9995,10127,10269,10422,10549,10704,10859,11035,11221,11378,11537,11714,11909,12094,12266,12455,12622,12837,13021,13212,13402,13634,13864,14069,14281,14506,14702,14917,15134,15354,15565,15759,16002,16230,16458,16695,16910,17167,17415,17685,17939,18231,18484,18731,18962,19219,19450,19746,20028,20339,20603,20882,21114,21412,21687,21963,22239,22526,22820,23107,23424,23745,24059,24353,24667,24996,25321,25658,25987,26281,26587,26916,27231,27536,27828,28148,28489,28820,29151,29488,29810,30198,30542,30907,31258,31617,32012,32382,32763,33109,33509,33894,34284,34657,35077,35430,35847,36249,36650,37084,37514,37933,38358,38783,39214,39647,40098,40550,41012,41484,41967,42459,43007,43516,44001,44515,44996,45546,46100,46670,47260,47815,48467,49161,49773,50433,51066,51736,52468,53237,53942,54639,55381,56125,56829,57588,58418,59128,59977,60728,61587,62359,63179,63996,64809,65638,66516,67397,68317,69151,70019,70939,71910,72916,73879,74856,75917,76976,78036,79093,80194,81263,82365,83512,84750,85934,87156,88371,89600,90900,92204,93431,94701,96020,97363,98654,99957,101198,102571,103920,105318,106731,108149,109626,111138,112595,114177,115766,117326,118949,120622,122234,123922,125723,127517,129228,131048,132880,134814,136787,138647,140655,142650,144729,146777,148883,151095,153283,155533,157790,160009,162319,164670,167216,169635,172094,174624,177184,179840,182525,185189,187901,190766,193651,196641,199601,202669,205793,208875,212122,215286,218521,221847,225177,228503,231839,235251,238585,242028,245537,249007,252614,256216,259920,263601,267314,271040,274765,278612,282572,286533,290364,294419,298480,302529,306564,310735,314979,319335,323790,328196,332561,337030,341565,346231,350843,355561,360355,365154,370020,374962,379944,384965,390169,395310,400460,405854,411273,416701,422289,427955,433515,439312,444999,450838,456788,462670,468772,475068,481217,487577,493994
1,1,1,1,1,2,3,3,7,9,9,11,13,16,19,19,20,22,22,24,29,31,35,44,49,52,59,62,66,72,77,82,92,96,101,109,117,124,127,135,146,156,159,166,176,186,197,204,212,217,225,236,240,248,256,266,273,282,294,299,304,317,328,337,351,365,385,407,429,447,473,486,507,529,551,570,592,616,644,667,699,722,749,773,801,838,878,909,948,971,992,1027,1054,1083,1109,1143,1172,1201,1240,1280,1318,1352,1387,1422,1447,1478,1517,1551,1590,1626,1665,1709,1751,1790,1831,1892,1935,1980,2028,2087,2141,2200,2253,2318,2382,2449,2509,2581,2647,2701,2770,2839,2938,3022,3102,3170,3231,3321,3414,3504,3590,3687,3788,3904,4001,4104,4213,4340,4457,4577,4724,4861,4990,5103,5229,5336,5483,5616,5743,5882,6001,6128,6254,6370,6512,6625,6755,6888,7016,7156,7266,7388,7550,7695,7826,7949,8087,8218,8341,8465,8627,8768,8911,9049,9187,9357,9514,9646,9809,9963,10133,10279,10427,10591,10751,10932,11092,11275,11439,11615,11801,12005,12178,12358,12589,12782,12994,13241,13491,13701,13953,14219,14479,14758,15061,15355,15667,15948,16242,16549,16864,17228,17587,17964,18341,18700,19050,19441,19786,20156,20518,20873,21278,21666,22096,22535,22984,23418,23829,24271,24700,25138,25542,25943,26393,26817,27297,27750,28181,28625,29035,29525,30019,30488,30951,31460,31921,32361,32823,33332,33881,34443,34990,35520,36107,36659,37270,37868,38500,39127,39788,40411,41014,41671,42345,43013,43734,44443,45123,45833,46556,47285,48117,48880,49689,50468,51269,52112,52965,53859,54735,55629,56534,57380,58255,59190,60110,61087,62081,63091,64114,65114,66121,67127,68187,69199,70259,71333,72469,73563,74654,75741,76873,78055,79178,80352,81543,82769,84055,85301,86527,87807,89053,90365,91698,92966,94339,95761,97135,98512,99972,101421,102850,104339,105860,107349,108879,110397,111971,113560,115200,116887,118484,120282,121948,123736,125517,127359,129219,131090,133031,134990,137012,139031,141030,143009,145039,147135,149263,151415,153691,156017,158368,160748,163080,165491,167944,170420,172882,175396,177969,180597,183307,186009,188742,191615,194478,197403,200353,203284,206249,209321,212466,215610,218704,221871,225258,228617,232032,235509,238922,242487,246050,249645,253349,257060,260821,264697,268469,272338,276312,280388,284435,288631,292869,297295,301656,306116,310633,315230,319877,324559,329234,334008,338820,343730,348703,353774,358943,364233,369467,374912,380326,385773,391407,397180,403020,409065,415126,421121,427375,433504,439918,446239,452711,459306,465947,472663,479565,486441,493476,500608,507702,515036,522202,529466,537000,544644,552437,560132,568076,576164,584539,592668,600828,609391,617951,626605,635531,644415,653312,662415,671637,681003,690559,700028,709657,719611,729431,739432,749607,759905,770127,780738,791598,802497,813621,824806,836159,847706,859130,870836,882690,895019,907277,919601,931840,944355,957055,969926,982889,996039,1009280,1022566,1036252,1050132,1063972
1,1,1,1,1,1,2,4,5,7,7,12,18,21,26,27,28,29,31,35,36,41,47,58,65,70,79,88,97,106,112,125,138,146,157,165,183,195,200,209,216,227,238,250,266,277,294,309,326,341,362,374,389,408,425,456,468,479,495,517,535,564,597,614,635,651,672,701,716,746,771,802,827,853,882,911,947,987,1026,1063,1107,1146,1196,1245,1290,1351,1409,1461,1510,1572,1630,1714,1790,1864,1930,2021,2121,2206,2283,2361,2449,2552,2650,2728,2825,2916,3019,3125,3237,3331,3428,3528,3611,3725,3821,3931,4048,4160,4251,4352,4428,4529,4641,4747,4876,4969,5088,5197,5322,5437,5550,5666,5783,5913,6033,6166,6318,6466,6603,6740,6881,7034,7188,7363,7532,7691,7864,8029,8196,8356,8531,8716,8897,9078,9272,9447,9630,9829,10051,10252,10509,10759,10971,11230,11486,11757,12052,12313,12610,12887,13195,13518,13854,14165,14506,14816,15140,15516,15876,16199,16552,16931,17304,17675,18025,18414,18833,19241,19659,20124,20540,20959,21370,21826,22276,22731,23215,23668,24124,24577,25086,25575,26130,26687,27208,27780,28352,28952,29559,30153,30757,31381,32026,32668,33302,33960,34641,35315,36037,36684,37404,38100,38853,39607,40341,41141,41966,42733,43540,44322,45145,45979,46818,47673,48558,49447,50318,51190,52037,52967,53879,54907,55939,56940,57988,58971,59993,61139,62207,63234,64390,65482,66578,67741,68888,70010,71136,72379,73570,74807,76111,77386,78686,79973,81315,82701,84078,85362,86726,88234,89769,91348,92860,94436,95943,97516,99107,100701,102294,103980,105676,107381,109068,110787,112637,114505,116393,118289,120148,122020,123951,125891,127904,129863,131854,133885,135934,137929,140043,142182,144357,146568,148737,150998,153293,155630,157982,160344,162703,165129,167610,170126,172710,175256,177919,180589,183309,186095,188874,191639,194383,197205,200134,202993,205951,209011,212047,215126,218183,221357,224454,227753,230950,234194,237628,241081,244469,247970,251442,255009,258603,262273,266011,269714,273435,277317,281162,285202,289130,293153,297162,301285,305492,309784,314049,318371,322892,327348,331900,336467,341076,345761,350586,355434,360412,365487,370771,376016,381356,386852,392327,397788,403397,409053,414809,420687,426554,432625,438671,444752,450941,457261,463656,470130,476622,483334,490076,496920,503773,510917,518009,525288,532650,540077,547651,555454,563342,571365,579593,587867,596019,604415,612869,621524,630168,638736,647559,656521,665647,675008,684372,693767,703476,713324,723138,732971,742938,753046,763210,773719,783925,794526,805108,815822,826730,837679,849084,860208,871631,883291,895032,906812,918896,931020,943363,955819,968675,981335,994320,1007332,1020534,1033853,1047431,1061046,1075014,1089013,1103168,1117589,1132233,1146836,1161852,1177018,1192141,1207457,1222971,1238878,1254978,1271030,1287380,1303800,1320630,1337549,1354412,1371752,1389319,1407069,1425064,1443034,1461401,1480087,1498762,1517576,1536706,1556146,1575453,1595140,1614949,1634849,1655033,1675511,1696088,1716959,1737981,1759023,1780393,1802002,1823559,1845369,1867322,1889559,1912043,1934796,1957848,1980862,2004520,2027941,2051486
1,1,2,4,6,14,18,24,29,34,37,39,44,48,67,84,95,111,122,135,150,168,176,188,203,223,252,276,297,319,346,370,384,411,433,447,459,474,496,527,542,564,588,615,635,654,671,687,706,729,755,777,802,839,859,877,903,930,962,994,1027,1051,1081,1112,1137,1176,1194,1233,1267,1297,1331,1353,1382,1415,1457,1492,1521,1552,1588,1622,1668,1703,1744,1788,1817,1861,1888,1921,1954,1998,2033,2083,2132,2174,2222,2276,2340,2390,2441,2491,2543,2590,2636,2689,2762,2805,2864,2926,2997,3054,3120,3172,3236,3304,3363,3417,3463,3535,3603,3671,3738,3796,3853,3923,3980,4045,4104,4183,4271,4331,4409,4476,4559,4630,4699,4781,4862,4938,5005,5085,5165,5238,5322,5406,5488,5572,5664,5744,5828,5912,6010,6087,6176,6275,6367,6472,6568,6670,6759,6852,6948,7031,7112,7216,7314,7424,7516,7624,7717,7804,7902,8008,8098,8210,8318,8422,8522,8624,8741,8852,8952,9076,9179,9292,9398,9490,9603,9730,9825,9940,10060,10181,10299,10423,10543,10659,10802,10929,11049,11175,11314,11438,11578,11736,11873,12047,12245,12441,12644,12841,13035,13202,13404,13609,13797,13991,14192,14394,14596,14802,15024,15256,15464,15698,15919,16162,16367,16624,16836,17071,17285,17528,17758,18000,18230,18467,18721,18985,19218,19494,19743,20019,20291,20562,20847,21135,21406,21710,21982,22257,22523,22819,23100,23384,23674,24000,24321,24662,25005,25332,25687,26044,26408,26743,27116,27468,27842,28200,28585,28938,29327,29709,30061,30451,30882,31262,31696,32052,32422,32801,33233,33596,33963,34340,34767,35199,35620,36072,36484,36894,37360,37836,38244,38691,39150,39637,40093,40617,41078,41515,41991,42438,42932,43418,43867,44355,44840,45325,45796,46261,46749,47294,47822,48364,48928,49509,50053,50575,51133,51642,52225,52839,53462,54078,54683,55283,55893,56542,57199,57896,58558,59245,59968,60665,61363,62083,62773,63478,64130,64840,65555,66277,66982,67680,68477,69265,70065,70889,71664,72456,73218,74038,74947,75794,76703,77621,78481,79322,80212,81114,82088,83052,83958,84918,85910,86965,87949,88975,90061,91101,92168,93246,94340,95504,96718,97960,99182,100353,101568,102835,104114,105482,106723,108056,109389,110754,112124,113525,114957,116409,117820,119297,120781,122314,123880,125455,127011,128634,130341,132055,133807,135499,137172,138996,140675,142404,144224,146073,147996,149820,151830,153725,155727,157731,159685,161763,163707,165787,167806,169850,172021,174237,176433,178714,181005,183332,185636,188044,190373,192771,195214,197634,200187,202722,205350,208041,210741,213402,216091,218795,221598,224558,227471,230349,233283,236245,239137,242185,245180,248390,251524,254683,257990,261311,264634,268082,271577,275108,278663,282290,285967,289587,293351,297099,300959,304905,308884,312878,316959,321065,325320,329493,333734,338033,342413,346707,351086,355535,359927,364463,369102,373757,378511,383309,388240,393253,398302,403324,408387,413668,418861,424173,429704,435213,440759,446428,452024
1,1,1,1,3,4,4,6,8,9,10,10,11,13,16,18,19,21,22,25,26,30,32,35,40,44,45,51,57,59,63,69,72,79,87,93,102,109,113,118,126,134,143,152,161,170,176,182,193,197,205,213,217,228,236,247,252,258,266,278,292,300,315,333,347,360,374,389,402,417,433,448,457,482,500,518,530,547,569,591,617,634,647,671,698,728,751,772,804,827,849,875,909,941,984,1015,1039,1071,1098,1123,1157,1183,1208,1248,1288,1326,1363,1388,1423,1460,1498,1539,1582,1620,1667,1710,1753,1796,1847,1900,1954,2001,2063,2108,2155,2198,2247,2314,2367,2421,2477,2523,2568,2616,2653,2718,2782,2840,2895,2966,3042,3109,3170,3238,3324,3394,3463,3558,3635,3725,3816,3889,3970,4051,4121,4188,4258,4325,4404,4493,4582,4674,4753,4845,4940,5031,5101,5180,5275,5388,5493,5595,5696,5791,5903,5993,6105,6223,6340,6471,6580,6694,6824,6960,7086,7216,7353,7514,7653,7812,7969,8117,8276,8428,8596,8765,8933,9125,9294,9450,9617,9800,10005,10199,10382,10592,10788,11001,11215,11406,11631,11871,12120,12388,12632,12854,13118,13364,13608,13854,14138,14406,14674,14947,15214,15527,15807,16101,16382,16676,16992,17305,17643,17961,18287,18636,18980,19335,19674,20049,20420,20758,21159,21545,21942,22344,22754,23159,23562,23959,24382,24797,25213,25643,26035,26457,26871,27351,27793,28227,28654,29088,29533,29954,30404,30848,31298,31728,32153,32587,33033,33473,33919,34367,34826,35267,35732,36252,36712,37164,37674,38197,38692,39209,39696,40210,40721,41243,41806,42367,42975,43551,44169,44786,45408,46066,46717,47413,48095,48751,49429,50113,50841,51558,52268,52951,53735,54480,55206,55963,56712,57485,58243,58999,59772,60603,61377,62167,62974,63782,64537,65369,66141,67010,67816,68611,69428,70275,71092,71976,72837,73725,74642,75557,76400,77344,78333,79319,80307,81343,82358,83396,84460,85543,86654,87764,88907,90042,91146,92263,93398,94568,95755,97003,98262,99484,100719,101998,103238,104507,105754,107080,108397,109783,111158,112518,113980,115421,116985,118522,119999,121542,123069,124538,126034,127659,129271,130973,132660,134387,136143,137935,139718,141456,143376,145167,146959,148856,150740,152729,154686,156648,158646,160688,162807,164920,167130,169372,171676,173972,176272,178557,180842,183175,185594,188036,190466,192881,195415,198008,200506,203188,205833,208462,211290,214177,217088,220010,222869,225860,229002,232077,235272,238415,241736,244975,248329,251854,255304,258782,262357,266010,269688,273304,276999,280767,284556,288366,292217,296208,300280,304352,308432,312547,316708,321002,325269,329477,333956,338303,342702,347203,351855,356582,361378,366174,370860,375653,380620,385726,390690,395945,401193,406569,412045,417564,423230,428890,434692,440497,446430,452600,458809,465175,471419,477832,484389,491014,497626,504392,511295,518282,525294,532461,539759,547204,554660,562178,569797,577645,585573,593554,601552,609597,617709,625929,634347
1,1,1,1,3,6,8,11,13,17,22,25,28,32,35,37,42,46,50,58,65,68,81,92,102,108,111,115,126,133,141,151,157,169,182,190,196,206,216,221,235,242,251,256,260,269,280,294,307,323,343,362,383,400,427,452,476,507,532,563,594,624,653,688,726,764,806,846,885,922,960,992,1029,1087,1133,1173,1216,1261,1304,1341,1398,1436,1484,1522,1575,1624,1671,1718,1777,1830,1886,1959,2011,2069,2133,2205,2279,2356,2433,2511,2600,2664,2748,2813,2913,3011,3108,3197,3298,3410,3510,3589,3700,3809,3940,4064,4192,4324,4448,4580,4691,4843,4994,5117,5291,5439,5581,5710,5848,5994,6160,6326,6521,6696,6852,7015,7202,7389,7584,7783,7991,8205,8422,8640,8867,9094,9327,9558,9808,10046,10307,10553,10815,11052,11309,11566,11810,12115,12389,12656,12937,13252,13568,13878,14182,14517,14842,15186,15518,15844,16186,16538,16877,17240,17585,17951,18309,18660,18999,19351,19698,20084,20489,20860,21282,21701,22120,22492,22865,23258,23653,24080,24506,24925,25360,25797,26254,26727,27199,27688,28194,28707,29179,29693,30211,30715,31242,31778,32319,32846,33369,33917,34501,35049,35600,36149,36730,37283,37857,38419,39016,39538,40096,40695,41317,41932,42533,43122,43701,44324,45004,45604,46300,46929,47605,48263,49007,49712,50409,51103,51832,52635,53437,54238,55012,55805,56590,57403,58275,59201,60054,60917,61798,62665,63572,64526,65501,66409,67347,68339,69326,70366,71409,72508,73598,74686,75782,76899,78029,79242,80375,81528,82727,83972,85287,86474,87772,89026,90367,91732,93086,94483,95901,97354,98813,100283,101725,103201,104689,106283,107718,109253,110789,112321,113881,115503,117106,118801,120519,122227,123944,125711,127486,129302,131137,133028,134948,136849,138815,140826,142862,145015,147141,149201,151344,153524,155755,157995,160269,162557,164945,167295,169641,171993,174356,176730,179228,181632,184108,186643,189234,191721,194322,196887,199553,202251,204986,207688,210332,213041,215968,218879,221884,224783,227804,230811,233901,237065,240118,243391,246628,249877,253140,256652,259997,263418,266974,270608,274303,277999,281735,285525,289405,293384,297408,301350,305583,309782,314031,318414,322656,326988,331496,336114,340741,345363,349954,354767,359480,364281,369285,374136,379155,384125,389107,394169,399390,404724,410088,415438,420937,426472,432090,437689,443494,449223,455179,461229,467298,473449,479607,485835,492109,498432,504852,511335,517925,524503,531314,538122,544812,551884,558940,566006,573162,580506,587820,595222,602775,610452,618358,626178,634058,641959,649976,658142,666350,674688,683200,691832,700451,709273,718172,727137,736167,745437,754730,764105,773724,783312,792993,802884,812837,823074,833379,843606,854016,864630,875161,885914,897001,908138,919090,930500,941852,953211,964810,976618,988585,1000595,1012725,1024968,1037394,1050008,1062467,1075454,1088327,1101515,1114943,1128346,1142023,1155746,1169405,1183458,1197230,1211580,1225910,1240541,1255256,1270323,1285327,1300488,1316235,1331888,1348076,1364233,1380363,1396807,1413685,1430603,1447936,1465324,1482942,1500685,1518654,1536917,1555398
1,1,1,1,1,1,1,4,6,9,11,11,13,14,14,23,27,33,38,42,47,53,58,65,77,84,94,102,110,118,121,130,150,160,167,177,181,184,190,196,209,212,219,228,232,241,247,252,258,268,278,280,286,293,303,320,332,338,345,356,368,382,398,412,435,458,484,506,529,555,583,614,656,697,738,774,810,854,909,953,1001,1058,1117,1172,1224,1269,1333,1405,1483,1548,1610,1683,1761,1832,1900,1966,2047,2123,2191,2248,2323,2412,2495,2575,2667,2753,2858,2948,3033,3131,3222,3324,3421,3511,3635,3745,3866,3980,4089,4231,4357,4477,4602,4712,4833,4962,5096,5255,5394,5548,5711,5849,5995,6162,6307,6471,6644,6828,6989,7169,7343,7533,7705,7908,8091,8278,8456,8643,8844,9053,9229,9430,9624,9837,10038,10253,10502,10757,10987,11219,11474,11739,11977,12228,12493,12764,13025,13306,13604,13888,14162,14431,14723,15004,15321,15617,15924,16235,16557,16855,17149,17502,17860,18217,18536,18902,19288,19649,20008,20403,20792,21169,21568,21960,22390,22769,23187,23626,24028,24534,24956,25429,25872,26333,26815,27270,27727,28187,28689,29146,29633,30108,30612,31119,31567,32015,32508,32983,33489,34024,34497,34974,35448,35953,36463,37021,37554,38105,38602,39156,39656,40184,40713,41229,41788,42400,42998,43573,44138,44751,45291,45867,46438,47073,47679,48362,49058,49726,50443,51155,51834,52507,53239,53976,54750,55503,56243,57075,57861,58704,59571,60378,61263,62181,63082,63991,64882,65824,66732,67646,68609,69567,70541,71552,72550,73537,74529,75535,76507,77544,78592,79655,80734,81776,82891,83947,85042,86094,87188,88309,89443,90535,91615,92733,93892,94965,96077,97229,98417,99611,100844,102090,103372,104743,106006,107265,108588,109930,111330,112703,114158,115644,117129,118699,120218,121722,123355,125005,126671,128328,130014,131680,133366,135097,136916,138732,140626,142428,144324,146258,148195,150055,152065,154030,156115,158194,160215,162359,164499,166651,168854,171138,173523,175847,178220,180584,183004,185411,188034,190619,193190,195745,198414,200938,203653,206420,209267,212075,214956,217889,220913,224029,227072,230140,233347,236412,239626,242927,246181,249500,252908,256352,259831,263349,266924,270597,274299,277991,281782,285690,289556,293444,297448,301382,305542,309687,313780,318025,322390,326885,331397,335998,340683,345361,350169,355094,359901,364897,369915,375062,380182,385532,390915,396390,401879,407456,413283,418959,424594,430406,436385,442481,448334,454487,460900,467253,473568,480064,486780,493440,500207,507164,513910,520770,527756,534887,542156,549555,557164,564781,572670,580473,588373,596653,604703,613020,621465,630331,639344,648210,657441,666715,676017,685532,695277,705099,715151,725175,735192,745373,755817,766455,777010,787702,798556,809401,820336,831563,842799,854244,865864,877464,889084,900840,912832,925066,937328,949755,962072,974558,987171,999994,1012875,1026042,1039295,1052699,1066175,1079846,1093697,1107724,1121858,1135957,1150341,1164812,1179574,1194413,1209529,1224746,1240154,1255766,1271445,1287091,1303103,1319328,1335622,1352077,1368720
1,1,1,1,3,5,5,6,7,10,14,15,16,19,21,24,26,33,36,41,48,54,62,67,72,78,88,99,110,129,146,160,170,186,198,220,239,257,283,311,327,339,376,399,428,453,470,489,512,535,566,591,621,649,693,717,754,791,825,858,887,936,980,1032,1072,1127,1184,1242,1305,1367,1424,1476,1527,1560,1616,1681,1734,1785,1859,1936,1989,2056,2129,2203,2272,2338,2413,2474,2545,2615,2686,2773,2844,2938,3020,3104,3183,3289,3361,3444,3506,3586,3661,3742,3829,3915,4008,4094,4212,4322,4421,4512,4602,4688,4785,4869,4964,5036,5131,5214,5311,5396,5484,5566,5660,5745,5834,5914,5997,6069,6155,6232,6305,6359,6449,6527,6615,6699,6773,6839,6910,6982,7074,7154,7238,7319,7413,7504,7602,7682,7770,7846,7939,8038,8129,8229,8323,8443,8557,8676,8797,8931,9072,9211,9353,9490,9635,9798,9944,10106,10276,10428,10586,10753,10920,11084,11272,11436,11623,11830,12014,12221,12431,12647,12855,13038,13221,13432,13629,13855,14078,14273,14496,14724,14919,15133,15354,15599,15860,16098,16356,16596,16851,17094,17349,17635,17876,18159,18476,18799,19082,19386,19666,19993,20314,20644,20995,21291,21596,21927,22286,22573,22956,23271,23654,24014,24340,24748,25120,25505,25915,26324,26734,27167,27583,27975,28381,28811,29276,29716,30132,30611,31083,31559,32062,32554,33056,33563,34065,34581,35130,35664,36230,36774,37367,37897,38466,39033,39617,40263,40880,41465,41984,42600,43205,43848,44478,45130,45792,46435,47118,47814,48482,49211,49925,50750,51539,52304,53103,53898,54720,55613,56431,57273,58155,59053,60021,60957,61919,62872,63833,64883,65905,66974,68018,69037,70155,71239,72344,73469,74573,75776,76862,78073,79233,80434,81591,82837,84163,85477,86822,88195,89546,90893,92291,93743,95150,96627,98133,99653,101270,102810,104455,106033,107590,109260,110891,112628,114285,115917,117629,119344,121097,122783,124468,126217,127923,129665,131519,133419,135321,137151,139034,141001,142943,144913,146914,148962,151113,153180,155350,157492,159602,161715,163859,166117,168467,170804,173173,175523,177845,180333,182766,185159,187697,190373,192958,195516,198160,200884,203722,206444,209241,212070,214968,217896,220815,223848,226999,230074,233359,236549,239902,243212,246600,249974,253473,257032,260642,264311,267951,271725,275688,279623,283502,287535,291546,295571,299733,303878,308108,312287,316590,320933,325363,329881,334461,339170,343797,348523,353419,358412,363503,368573,373689,378988,384304,389767,395131,400566,406227,411922,417782,423586,429406,435358,441431,447658,453986,460256,466760,473150,479614,486233,493073,499821,506744,513741,520858,528070,535296,542729,550204,557938,565688,573530,581343,589390,597559,605854,614184,622555,631127,639920,648732,657764,666924,676028,685368,694910,704645,714165,723992,733758,743821,754025,764477,774915,785196,795933,806880,817703,828521,839471,850623,862081,873783,885336,897035,908897,920976,933113,945500,958252,971043,983668,996727,1009806,1023001,1036298,1049875,1063520,1077506,1091658,1105996,1120406,1135240
1,1,1,1,1,2,3,3,4,6,6,6,7,8,10,10,11,12,12,12,15,16,20,26,28,30,35,39,44,48,54,69,73,78,86,104,120,127,134,143,162,173,182,192,203,222,244,254,264,275,288,299,312,328,343,358,368,384,396,412,427,444,456,476,485,494,511,527,538,552,565,584,608,626,649,664,682,692,710,727,745,756,776,794,812,831,842,866,897,918,932,950,974,994,1009,1034,1055,1068,1087,1105,1126,1144,1171,1188,1213,1235,1250,1264,1281,1307,1319,1340,1355,1382,1410,1426,1443,1463,1478,1501,1526,1550,1571,1594,1625,1645,1679,1705,1728,1745,1772,1799,1830,1868,1899,1936,1966,1989,2024,2055,2091,2120,2148,2174,2199,2225,2255,2281,2302,2334,2362,2398,2426,2458,2491,2517,2544,2570,2595,2618,2652,2682,2706,2746,2772,2800,2829,2866,2894,2924,2959,2990,3025,3063,3090,3114,3150,3185,3218,3259,3304,3335,3364,3412,3439,3474,3509,3557,3615,3657,3701,3747,3789,3837,3896,3947,3997,4044,4089,4139,4199,4245,4293,4348,4408,4461,4500,4550,4608,4664,4721,4779,4829,4883,4929,4970,5035,5087,5149,5214,5273,5328,5385,5449,5509,5578,5649,5709,5784,5865,5928,6009,6108,6196,6273,6354,6448,6541,6655,6765,6867,6985,7083,7208,7310,7415,7511,7641,7763,7886,8021,8120,8253,8366,8501,8631,8761,8907,9002,9141,9271,9393,9536,9666,9815,9965,10118,10287,10460,10628,10800,10971,11157,11322,11528,11715,11922,12136,12343,12567,12789,13018,13219,13461,13711,13942,14211,14471,14759,15046,15316,15589,15871,16178,16479,16810,17132,17428,17764,18084,18442,18775,19145,19513,19869,20220,20556,20933,21321,21659,22024,22406,22770,23128,23464,23806,24167,24523,24844,25201,25555,25914,26312,26669,27032,27400,27772,28168,28575,28988,29379,29757,30184,30596,31011,31451,31869,32334,32754,33188,33638,34110,34585,35080,35539,36021,36512,36982,37465,37958,38460,38950,39451,39962,40426,40940,41478,41966,42488,43051,43630,44167,44704,45229,45746,46337,46888,47536,48131,48733,49329,49953,50593,51215,51893,52539,53206,53893,54642,55364,56105,56803,57593,58378,59153,59873,60661,61451,62286,63127,63976,64831,65658,66536,67357,68229,69172,70067,70977,71863,72769,73666,74593,75571,76526,77548,78512,79509,80551,81644,82738,83885,85012,86188,87370,88573,89806,91025,92267,93519,94890,96179,97496,98815,100194,101570,103004,104476,105907,107391,108915,110501,112061,113639,115266,116905,118532,120215,122013,123730,125479,127281,129074,130925,132810,134755,136698,138596,140620,142555,144572,146672,148718,150824,152986,155171,157264,159485,161784,163930,166213,168609,171032,173362,175782,178184,180695,183206,185803,188381,191020,193729,196467,199219,201964,204879,207946,210950,213867,216931,220010,223204,226395,229668,232996,236379,239752,243202,246652,250252,253864,257584,261303,265168,269026,272975,276976
1,1,1,1,1,1,1,4,8,9,10,15,23,32,34,39,45,56,58,68,76,84,93,95,107,117,123,133,138,146,162,170,185,187,195,199,206,214,220,229,238,248,249,256,260,263,264,272,276,283,289,294,296,299,301,304,306,308,310,320,324,329,332,336,340,350,355,359,369,371,374,377,384,390,396,402,410,415,422,431,437,445,457,461,467,472,489,495,506,516,525,535,544,551,562,567,578,588,593,603,617,638,647,660,676,694,706,723,738,756,772,788,805,820,839,861,875,898,916,933,954,971,988,1006,1029,1047,1065,1086,1103,1115,1130,1151,1179,1194,1211,1227,1241,1249,1258,1268,1276,1288,1298,1311,1327,1334,1348,1360,1374,1389,1405,1426,1435,1446,1461,1482,1496,1510,1530,1550,1575,1588,1617,1643,1681,1709,1734,1764,1793,1824,1850,1873,1904,1937,1973,1998,2018,2039,2067,2103,2128,2154,2182,2212,2247,2282,2312,2345,2375,2411,2447,2481,2519,2549,2581,2626,2672,2724,2765,2802,2846,2901,2949,2988,3040,3086,3133,3173,3218,3269,3336,3378,3433,3489,3542,3602,3645,3703,3759,3822,3868,3915,3977,4027,4093,4140,4194,4259,4320,4373,4430,4495,4563,4626,4698,4765,4836,4894,4969,5037,5092,5158,5215,5284,5368,5461,5536,5620,5704,5804,5895,5980,6066,6156,6253,6371,6481,6595,6721,6830,6969,7093,7207,7343,7478,7610,7749,7872,8018,8154,8277,8425,8577,8725,8879,9030,9204,9365,9528,9698,9863,10010,10161,10324,10466,10623,10790,10967,11121,11277,11456,11625,11797,11958,12127,12300,12481,12626,12792,12989,13189,13386,13577,13759,13983,14171,14392,14613,14788,14992,15205,15415,15637,15848,16048,16262,16484,16710,16932,17165,17376,17607,17857,18113,18378,18622,18880,19120,19335,19594,19852,20116,20385,20666,20936,21201,21456,21725,22010,22270,22537,22821,23100,23415,23725,24037,24354,24662,24981,25312,25654,25962,26325,26671,27026,27394,27759,28113,28477,28860,29229,29605,30006,30350,30767,31175,31570,32002,32400,32818,33262,33670,34084,34527,34987,35442,35875,36333,36776,37249,37687,38181,38672,39153,39707,40218,40713,41262,41804,42342,42917,43470,44062,44656,45205,45808,46453,47078,47710,48344,49021,49689,50358,51056,51702,52393,53032,53707,54379,55046,55785,56502,57298,58055,58793,59489,60218,61003,61770,62541,63311,64112,64919,65710,66520,67348,68212,69069,69968,70878,71751,72714,73632,74652,75650,76581,77549,78619,79732,80777,81931,83048,84169,85274,86451,87588,88695,89898,91192,92447,93711,94944,96228,97465,98795,100127,101490,102832,104222,105692,107121,108561,110071,111581,113049,114524,115988,117547,119183,120716,122308,123970,125678,127404,129128,130848,132637,134411,136316,138194,140021,141853,143797,145745,147698,149686,151617,153688,155678,157693,159780,161925,163987,166077,168222,170434,172635
1,1,3,3,5,6,9,10,12,12,16,24,28,31,33,35,40,49,55,57,62,73,76,83,90,100,114,128,139,143,156,162,175,184,191,199,210,224,232,241,246,254,262,275,284,296,315,337,353,362,378,399,416,436,463,489,513,542,569,601,641,679,718,761,804,853,903,940,986,1031,1080,1125,1164,1212,1269,1330,1381,1440,1503,1550,1600,1666,1725,1789,1851,1896,1958,2020,2093,2155,2215,2284,2361,2429,2502,2572,2657,2730,2813,2882,2955,3039,3124,3196,3272,3366,3450,3524,3611,3682,3759,3838,3917,3996,4098,4183,4277,4357,4452,4540,4638,4739,4845,4954,5067,5198,5326,5453,5598,5713,5821,5951,6058,6184,6321,6461,6580,6720,6845,6964,7102,7247,7383,7523,7674,7830,7971,8125,8266,8425,8576,8728,8883,9042,9193,9337,9519,9668,9837,9998,10169,10344,10516,10687,10854,11048,11234,11419,11577,11730,11919,12099,12285,12465,12648,12821,12980,13147,13335,13510,13684,13872,14036,14222,14389,14588,14770,14935,15090,15260,15441,15642,15849,16045,16237,16428,16627,16823,17037,17242,17479,17728,17975,18196,18453,18704,18959,19243,19501,19813,20109,20368,20623,20869,21155,21456,21773,22065,22363,22662,22962,23270,23600,23921,24238,24574,24899,25238,25565,25907,26257,26631,26984,27350,27709,28081,28448,28842,29247,29651,30066,30551,30980,31400,31899,32379,32901,33401,33899,34423,34940,35417,35982,36589,37165,37763,38339,38931,39525,40124,40708,41326,41952,42572,43206,43817,44416,45034,45725,46355,46997,47683,48362,49058,49788,50491,51163,51830,52528,53254,53959,54725,55521,56315,57070,57888,58721,59508,60324,61142,62008,62810,63760,64680,65587,66489,67388,68325,69285,70247,71245,72250,73332,74388,75524,76656,77759,78838,79976,81222,82451,83722,84984,86305,87540,88836,90209,91657,93047,94462,95929,97424,98853,100403,101950,103465,105060,106696,108332,109951,111571,113210,114889,116609,118346,120116,121926,123839,125730,127620,129534,131567,133490,135492,137488,139554,141637,143698,145808,147913,150107,152302,154532,156769,159127,161460,163860,166348,168841,171336,173902,176548,179274,181953,184639,187349,190173,192962,195807,198666,201613,204592,207637,210724,213887,216988,220229,223494,226756,230136,233569,236995,240477,243963,247709,251372,255205,259121,262917,266852,270733,274714,278765,282916,287221,291514,295947,300368,304920,309588,314213,318951,323691,328549,333486,338516,343552,348693,353873,359072,364331,369713,375288,380851,386438,392076,397998,403830,409750,415661,421773,427918,434251,440592,447002,453619,460193,466871,473710,480712,487719,494780,501737,508890,516135,523507,531036,538749,546523,554166,561962,570010,577915,586023,594063,602251,610606,618888,627193,635710,644300,653103,661882,670703,679697,688898,698234,707517,717092,726592,736024,745519,755187,764970,774840,784814,794995,805127,815437,825956,836664,847062,857718,868691,879534,890639,901852,913161,924535,935881,947574,959298,971180,983167,995237,1007410,1019791,1032523,1045160,1057928,1071090,1084256,1097448,1110864,1124420,1138121,1152086
1,1,1,1,1,1,1,2,4,7,7,11,12,12,12,15,17,23,28,34,42,52,54,57,64,67,70,78,84,93,101,109,113,128,138,152,164,175,184,194,202,211,220,230,242,257,270,285,300,318,335,353,374,392,403,422,440,457,494,521,544,566,592,618,642,675,713,754,792,831,877,909,954,985,1027,1068,1109,1155,1201,1238,1291,1332,1378,1423,1473,1516,1558,1608,1658,1723,1769,1816,1881,1947,2014,2064,2141,2222,2304,2362,2451,2525,2619,2708,2788,2871,2957,3048,3135,3221,3310,3393,3482,3570,3650,3749,3852,3949,4042,4144,4250,4359,4461,4571,4672,4795,4916,5020,5140,5251,5378,5502,5638,5759,5912,6056,6193,6340,6497,6643,6763,6944,7110,7260,7414,7592,7776,7961,8126,8301,8471,8640,8804,9002,9185,9383,9564,9766,9936,10141,10333,10546,10744,10953,11165,11395,11622,11853,12061,12281,12528,12765,12995,13252,13506,13750,13981,14218,14493,14783,15062,15363,15646,15953,16263,16570,16857,17147,17439,17751,18051,18368,18679,19017,19325,19656,19990,20323,20681,21002,21378,21732,22104,22466,22843,23205,23594,24002,24407,24809,25194,25573,25979,26381,26786,27186,27627,28072,28483,28934,29374,29854,30324,30775,31232,31697,32139,32640,33110,33615,34075,34614,35216,35749,36278,36855,37416,37980,38605,39192,39784,40398,41045,41668,42295,42920,43551,44150,44804,45440,46111,46807,47531,48230,48879,49554,50262,50997,51739,52515,53299,54120,54926,55693,56469,57282,58162,59030,59908,60798,61669,62569,63467,64389,65306,66271,67283,68310,69333,70342,71376,72445,73554,74684,75775,76932,78068,79265,80542,81714,82868,84085,85348,86670,87971,89243,90549,91915,93305,94662,96082,97464,98946,100412,101895,103436,104842,106420,107978,109582,111174,112795,114431,116138,117827,119486,121277,122978,124766,126613,128485,130285,132270,134142,136081,138177,140248,142278,144387,146490,148653,150816,153029,155274,157624,160025,162481,164912,167361,169789,172306,174927,177522,180150,182843,185570,188287,191099,193872,196759,199698,202659,205710,208725,211812,215044,218330,221535,224795,228079,231491,234864,238406,241875,245403,248988,252632,256189,259947,263768,267599,271401,275218,279082,283052,287081,291203,295360,299316,303507,307775,312126,316370,320767,325228,329743,334136,338754,343472,348070,352701,357479,362231,367092,372027,377102,382104,387033,392093,397310,402544,407576,412778,418199,423584,429110,434624,440179,445803,451397,457138,462936,468872,474839,480928,487055,493375,499723,506010,512566,518952,525359,532054,538793,545533,552484,559525,566611,573917,581216,588690,596013,603380,610956,618700,626431,634371,642308,650514,658690,666967,675212,683702,692285,700865,709632,718475,727475,736621,745769,754947,764408,774075,783680,793347,803262,813386,823550,833732,844154,854730,865471,876179,887219,898378,909609,921010,932414,943871,955728,967579,979640,991898,1004151,1016849,1029293,1041884,1054949,1067938,1081323,1094738,1108237,1121783,1135705,1149801,1164029,1178534,1192968,1207740,1222627,1237336,1252198,1267330,1282835,1298503,1314092,1329984
1,1,1,1,1,2,5,6,8,9,10,11,12,14,17,20,20,22,24,28,34,36,42,46,52,56,64,68,73,82,88,96,103,106,114,119,126,133,143,154,160,172,180,188,197,206,212,217,219,228,235,246,251,261,268,275,282,291,298,305,315,318,326,336,350,359,374,383,388,402,417,437,451,469,482,496,505,516,526,543,558,585,603,624,644,666,683,705,738,756,773,785,799,825,844,863,889,916,943,982,1012,1053,1088,1122,1159,1209,1243,1279,1311,1352,1401,1438,1482,1521,1568,1617,1665,1725,1782,1850,1909,1978,2037,2100,2161,2231,2287,2341,2394,2464,2540,2598,2666,2729,2793,2858,2931,2991,3061,3141,3209,3259,3314,3376,3453,3516,3591,3660,3718,3778,3838,3909,3983,4046,4141,4221,4309,4396,4479,4576,4656,4746,4841,4938,5042,5158,5249,5369,5476,5583,5705,5819,5930,6043,6161,6272,6398,6526,6663,6815,6944,7071,7223,7373,7508,7659,7798,7952,8110,8273,8440,8616,8790,8962,9147,9331,9550,9730,9935,10144,10343,10543,10794,11030,11265,11533,11772,12026,12276,12510,12777,13016,13294,13577,13803,14094,14380,14673,14961,15256,15537,15807,16113,16425,16725,17069,17383,17715,18033,18368,18693,19001,19331,19665,20013,20357,20724,21136,21524,21910,22302,22672,23068,23485,23862,24269,24646,25072,25506,25921,26368,26872,27282,27729,28151,28590,29042,29507,29978,30436,30914,31390,31899,32420,32968,33455,33984,34549,35083,35624,36159,36687,37233,37774,38365,39019,39615,40206,40850,41431,42070,42769,43405,44078,44666,45290,45932,46625,47333,47963,48678,49338,50045,50780,51511,52245,52963,53742,54523,55325,56151,56927,57689,58481,59296,60106,60882,61725,62563,63406,64311,65188,66104,67014,67917,68850,69816,70773,71811,72823,73817,74834,75877,76944,77983,79066,80219,81402,82570,83823,85054,86282,87508,88742,90012,91279,92625,93993,95359,96773,98100,99483,100834,102203,103598,105006,106450,107845,109327,110798,112239,113714,115266,116738,118277,119814,121422,123007,124697,126354,127941,129636,131237,133015,134772,136479,138312,140100,141836,143668,145499,147440,149380,151293,153270,155274,157256,159244,161250,163331,165468,167702,169934,172144,174368,176643,178888,181251,183696,186078,188533,190933,193484,196019,198611,201183,203853,206496,209279,212115,214860,217743,220760,223679,226764,229759,232937,236084,239136,242233,245483,248776,251995,255290,258707,262156,265616,269046,272577,276125,279981,283803,287582,291402,295353,299324,303296,307374,311499,315651,319819,323996,328345,332703,337223,341765,346314,350895,355566,360280,365189,370109,375259,380319,385493,390719,396050,401488,406926,412396,417999,423882,429902,435707,441789,447957,454222,460513,466919,473439,479996,486640,493481,500404,507564,514699,521926,529258,536588,544118,551834,559548,567520,575556,583489,591819,600420,608852,617395,626162,634953,643911,652910,662032,671331,680588,690116,699887,709593,719629,729606,739701,750017,760511,770967,781562,792290
1,1,5,5,7,9,10,10,15,20,23,23,28,31,36,39,44,50,56,64,65,72,78,95,109,126,139,156,166,172,188,199,207,220,236,247,255,277,292,312,331,364,384,402,431,464,489,518,542,575,606,638,667,694,722,753,791,834,872,908,934,960,996,1042,1093,1138,1187,1233,1287,1342,1406,1468,1539,1608,1661,1726,1776,1831,1882,1962,2035,2107,2181,2246,2309,2390,2460,2519,2601,2671,2740,2794,2853,2911,2968,3037,3105,3173,3229,3306,3363,3427,3499,3578,3645,3712,3786,3859,3927,3996,4077,4154,4234,4299,4413,4489,4569,4656,4733,4822,4921,5033,5131,5232,5334,5438,5537,5628,5737,5849,5958,6071,6183,6293,6413,6531,6661,6779,6929,7053,7168,7294,7401,7530,7649,7743,7878,7985,8135,8287,8445,8599,8755,8898,9041,9179,9334,9467,9622,9826,10013,10176,10385,10573,10762,10939,11125,11306,11521,11726,11936,12138,12349,12580,12815,13045,13263,13522,13762,14014,14244,14502,14745,14975,15254,15480,15731,15970,16214,16459,16726,17007,17299,17576,17857,18140,18419,18720,19013,19314,19597,19904,20229,20543,20854,21173,21483,21827,22178,22516,22898,23261,23670,24054,24443,24838,25273,25703,26162,26587,27008,27493,27963,28420,28893,29398,29866,30361,30843,31326,31847,32320,32792,33317,33852,34385,34973,35544,36085,36658,37242,37855,38458,39055,39667,40306,40935,41620,42263,42942,43631,44276,44984,45694,46402,47158,47888,48655,49449,50225,51012,51790,52655,53478,54291,55113,55998,56876,57731,58619,59545,60481,61423,62325,63285,64275,65241,66297,67339,68440,69530,70631,71678,72696,73791,74936,76073,77199,78384,79579,80805,82107,83337,84620,85904,87259,88641,89996,91387,92831,94151,95621,97041,98531,100017,101476,103068,104537,106097,107599,109145,110739,112288,113848,115458,117006,118651,120350,121985,123641,125335,127031,128767,130503,132200,133981,135723,137462,139245,141117,142937,144838,146702,148690,150646,152569,154617,156628,158670,160785,162916,165116,167311,169517,171699,173951,176242,178593,180956,183380,185786,188226,190745,193293,195989,198662,201479,204224,207069,209946,212992,215871,218740,221778,224752,227872,231046,234239,237429,240772,244209,247596,251041,254447,258100,261579,265206,268846,272495,276242,280104,283894,287856,291814,295715,299689,303900,308103,312287,316546,320911,325263,329606,334008,338500,343140,347782,352588,357440,362225,367181,372071,377140,382129,387260,392517,397711,402796,408292,413735,419235,424664,430379,436249,441968,447854,453735,459851,466204,472661,479064,485507,491905,498527,505108,511961,518815,525790,532778,539894,547025,554436,561928,569252,576789,584438,592276,600213,608116,616137,624476,632801,641237,649984,658679,667664,676707,685640,694971,704234,713577,723162,732659,742527,752220,762267,772376,782631,792828,803254,814089,824876,835752,846778,857990,869279,880543,892326,904164,916166,927900,940152,952435,964971,977426,990228,1003243,1016235,1029835,1043157,1056633,1070195,1083673,1097546,1111351,1125356,1139700,1154119,1168706,1183480,1198442,1213498,1228498,1243847,1259235,1274740,1290517
1,1,1,1,1,1,1,2,4,6,8,9,10,10,16,18,20,23,24,26,27,32,34,39,43,46,52,59,64,66,67,72,73,79,84,93,99,103,112,119,127,132,143,149,155,163,169,175,185,194,204,208,213,221,228,233,241,250,250,258,265,271,277,279,284,288,291,298,301,304,309,310,314,321,329,334,345,350,357,370,379,390,409,423,437,457,471,483,497,510,531,560,582,618,632,655,681,703,726,755,785,814,850,881,915,944,971,1009,1039,1079,1104,1135,1169,1197,1250,1291,1335,1368,1406,1447,1489,1537,1585,1634,1683,1724,1761,1807,1851,1891,1949,2004,2063,2108,2183,2252,2330,2398,2468,2533,2615,2711,2791,2881,2961,3048,3152,3242,3340,3434,3535,3625,3733,3863,3957,4068,4170,4261,4342,4442,4550,4695,4804,4900,5012,5130,5260,5393,5544,5703,5886,6036,6185,6350,6506,6639,6787,6946,7110,7284,7469,7665,7846,8038,8210,8387,8570,8778,9010,9253,9467,9677,9918,10170,10407,10641,10886,11141,11393,11630,11906,12188,12465,12768,13052,13337,13655,13953,14281,14603,14944,15267,15616,15944,16296,16700,17046,17447,17852,18257,18647,19068,19478,19924,20327,20819,21304,21761,22206,22680,23156,23639,24130,24629,25143,25662,26154,26669,27149,27664,28230,28757,29307,29831,30354,30872,31411,31933,32470,33026,33595,34216,34834,35450,36100,36721,37341,37966,38602,39237,39879,40583,41263,41958,42650,43333,44082,44774,45594,46351,47076,47903,48738,49497,50292,51079,51881,52801,53674,54582,55467,56379,57335,58325,59277,60284,61275,62271,63307,64343,65456,66614,67747,68779,69921,71088,72290,73489,74710,75883,77066,78284,79628,80886,82174,83427,84695,86026,87424,88854,90266,91598,92985,94392,95864,97336,98816,100348,101971,103652,105310,106907,108499,110158,111938,113705,115476,117287,119160,121030,122873,124813,126736,128654,130647,132677,134795,136909,139046,141227,143500,145684,147960,150349,152717,155139,157520,159927,162400,164887,167494,169987,172708,175286,177985,180629,183383,186175,189007,191702,194623,197465,200509,203529,206576,209637,212924,216101,219213,222428,225856,229331,232858,236369,239990,243524,247235,250907,254706,258585,262585,266549,270564,274681,278859,282969,287184,291467,295811,300207,304792,309355,313976,318626,323370,328087,332926,337701,342535,347502,352480,357362,362509,367780,373094,378397,383658,389191,394749,400334,405945,411652,417389,423298,429192,435197,441202,447332,453418,459606,465780,471866,478163,484640,491238,497899,504632,511385,518025,524778,531786,538920,546055,553552,560729,568114,575595,583108,590769,598473,606372,614182,622233,630233,638376,646502,654732,663191,671775,680316,688947,697780,706757,715900,725163,734566,743995,753463,763023,772768,782558,792694,802830,813104,823495,834135,844831,855731,866696,877700,889157,900676,912312,923925,935665,947483,959523,971769,983896,996192,1008759,1021302,1034235,1047192,1060276,1073173,1086424,1099771,1113260,1126975,1140716,1154988,1169180,1183362,1197684,1212133,1226968
1,1,1,1,1,2,3,4,5,9,9,9,14,17,20,24,32,36,38,43,44,49,54,57,67,81,89,95,105,112,115,119,128,145,150,159,164,173,181,189,198,204,205,217,223,233,238,242,244,249,257,261,264,271,273,277,280,284,288,292,295,297,301,302,309,310,312,321,329,331,338,345,350,354,359,366,376,379,386,394,401,413,423,435,441,453,462,477,485,500,518,531,556,572,586,609,630,649,673,703,727,755,787,809,841,878,918,955,998,1031,1066,1105,1147,1182,1221,1266,1312,1350,1396,1427,1469,1512,1549,1591,1633,1678,1717,1762,1797,1850,1884,1916,1954,2008,2057,2109,2150,2207,2256,2317,2376,2442,2510,2588,2663,2728,2804,2875,2955,3028,3105,3182,3259,3337,3405,3493,3582,3650,3741,3830,3912,3979,4063,4160,4237,4329,4423,4521,4611,4715,4813,4916,5011,5104,5207,5294,5403,5517,5618,5713,5814,5912,6031,6145,6252,6377,6484,6580,6692,6817,6941,7061,7179,7307,7410,7525,7679,7805,7945,8064,8189,8358,8497,8625,8789,8954,9100,9277,9433,9615,9770,9923,10080,10260,10432,10615,10796,10976,11181,11402,11631,11860,12052,12257,12510,12705,12911,13156,13404,13641,13856,14090,14350,14608,14841,15069,15344,15620,15891,16184,16433,16693,16952,17244,17519,17816,18094,18359,18638,18919,19170,19464,19749,19999,20256,20523,20812,21090,21362,21668,21989,22307,22612,22945,23258,23587,23898,24241,24622,25004,25369,25748,26131,26507,26921,27326,27746,28148,28583,29016,29446,29865,30297,30793,31230,31679,32134,32618,33083,33547,34037,34560,35068,35565,36070,36577,37132,37635,38183,38749,39339,39930,40514,41096,41679,42267,42839,43474,44050,44706,45392,46029,46703,47435,48148,48849,49589,50350,51114,51907,52630,53378,54156,54934,55744,56563,57360,58204,59053,59905,60799,61667,62564,63423,64290,65174,66066,66972,67899,68854,69879,70885,71900,72935,73909,74931,76057,77146,78239,79414,80526,81703,82896,84109,85357,86650,87935,89234,90542,91856,93246,94619,96017,97456,98859,100262,101668,103257,104726,106224,107784,109355,110950,112546,114185,115830,117508,119305,121073,122823,124578,126387,128285,130137,132071,133999,135912,137913,139885,141907,144055,146174,148299,150585,152761,155091,157396,159623,161963,164410,166811,169255,171722,174249,176689,179234,181804,184376,187016,189718,192455,195128,197919,200692,203589,206449,209337,212250,215202,218220,221261,224354,227586,230780,234099,237518,240848,244311,247822,251388,255017,258655,262501,266338,270059,273983,277820,281784,285854,289907,294061,298179,302436,306756,310932,315253,319639,324097,328623,333160,337621,342295,347042,351950,356809,361751,366796,371895,377015,382171,387505,392845,398301,403919,409588,415329,420967,426863,432693,438694,444776,451144,457442,463818,470320,476843,483313,489840,496451,503096,509870,516711,523549,530492,537591,544878,552200,559631,567036,574374,582030,589677,597463,605387,613421,621680,630017
1,1,4,7,11,11,13,17,23,25,33,37,44,52,63,73,83,92,100,106,121,130,142,159,166,182,198,220,238,254,270,284,302,313,332,357,380,408,433,455,480,503,525,554,574,608,630,657,684,716,746,772,794,818,850,879,909,932,949,967,1000,1037,1069,1094,1130,1162,1196,1233,1260,1288,1312,1356,1401,1440,1472,1512,1534,1571,1621,1681,1718,1755,1804,1849,1895,1951,2004,2054,2109,2173,2236,2296,2355,2412,2468,2533,2597,2666,2746,2805,2870,2931,2999,3059,3133,3204,3290,3381,3448,3547,3637,3719,3782,3865,3958,4049,4127,4221,4316,4393,4485,4558,4639,4740,4831,4932,5042,5131,5226,5313,5422,5512,5600,5707,5817,5913,6024,6116,6208,6337,6442,6538,6640,6723,6834,6951,7068,7193,7303,7420,7534,7666,7789,7910,8043,8170,8283,8397,8530,8657,8811,8953,9093,9221,9355,9479,9614,9760,9905,10045,10187,10325,10456,10566,10707,10860,11026,11173,11333,11504,11682,11864,12048,12226,12420,12604,12804,13012,13246,13465,13694,13930,14182,14425,14697,14943,15201,15496,15781,16075,16416,16727,17014,17321,17685,18016,18378,18705,19029,19357,19671,20032,20388,20746,21079,21439,21811,22164,22512,22867,23211,23604,23938,24306,24680,25103,25461,25857,26242,26633,27040,27446,27866,28273,28669,29061,29490,29900,30350,30811,31271,31728,32194,32681,33166,33641,34115,34581,35083,35567,36075,36649,37215,37756,38309,38894,39479,40065,40665,41302,41920,42524,43182,43881,44626,45312,46072,46750,47471,48225,48969,49736,50578,51348,52183,52984,53807,54669,55586,56530,57457,58359,59302,60228,61180,62083,63130,64160,65155,66196,67204,68242,69318,70410,71490,72632,73726,74871,75980,77063,78139,79278,80441,81707,82978,84227,85521,86804,88151,89511,90860,92260,93565,94994,96457,97833,99398,100944,102461,104052,105620,107262,108857,110509,112119,113761,115484,117281,119055,120834,122587,124447,126283,128198,130199,132121,134097,136158,138291,140458,142628,144825,147135,149381,151645,153979,156345,158760,161225,163636,166087,168665,171185,173716,176445,179083,181907,184591,187303,190086,192918,195833,198761,201750,204763,207798,210893,214046,217317,220606,223923,227229,230657,234096,237575,241023,244597,248160,251806,255391,259042,262799,266664,270603,274512,278416,282377,286443,290569,294754,298912,303075,307387,311620,316095,320515,325039,329443,333996,338414,343006,347752,352531,357329,362311,367380,372508,377750,382876,388224,393531,398982,404418,409955,415455,421315,427068,433031,438972,445098,451342,457542,463835,470239,476794,483337,490003,496903,503775,510607,517611,524802,532131,539502,546911,554486,562130,569790,577702,585595,593470,601478,609582,617763,626042,634330,642652,651217,659949,668759,677654,686613,695698,704919,714341,723708,733184,742900,752368,762188,771898,781972,792020,802383,812593,822833,833197,843632,854191,865229,876080,886945,897874,909156,920537,932068,943623,955284,966972,979253,991463,1003790,1016159,1028729,1041403,1054354,1067422,1080490,1093995,1107541,1121314,1135064,1149102,1163244,1177784,1192634,1207105
1,1,1,1,1,4,4,5,7,9,10,11,11,12,14,16,17,19,22,23,28,34,38,43,50,59,64,67,73,77,80,99,107,116,127,134,139,142,149,161,167,179,187,200,206,211,217,224,230,233,240,245,249,255,259,269,271,274,280,286,292,297,299,306,312,314,318,324,330,335,342,349,354,358,366,371,376,380,392,398,403,410,419,427,435,442,453,465,476,485,493,505,518,532,540,552,557,567,583,597,613,624,635,646,658,672,683,699,712,729,743,752,763,786,809,830,850,869,889,915,937,960,988,1012,1046,1076,1116,1143,1176,1201,1234,1261,1295,1326,1365,1394,1440,1476,1515,1554,1594,1634,1674,1698,1728,1763,1805,1840,1866,1908,1960,2017,2058,2118,2163,2206,2257,2290,2331,2380,2428,2478,2512,2558,2588,2633,2679,2728,2770,2808,2867,2920,2973,3020,3070,3115,3165,3214,3280,3349,3408,3466,3545,3624,3706,3765,3852,3906,3977,4044,4132,4214,4296,4367,4448,4542,4645,4742,4857,4964,5072,5190,5305,5423,5536,5679,5804,5943,6076,6237,6409,6556,6704,6871,7048,7216,7401,7569,7806,8024,8235,8441,8657,8886,9142,9366,9618,9873,10129,10375,10621,10899,11171,11443,11701,11969,12245,12526,12809,13114,13437,13748,14056,14395,14728,15033,15337,15617,15931,16222,16558,16868,17195,17516,17891,18262,18599,18926,19301,19646,20040,20424,20823,21200,21621,22038,22442,22882,23272,23717,24161,24604,25085,25593,26043,26511,26974,27455,27947,28439,28939,29439,29967,30484,31037,31630,32150,32750,33347,33964,34583,35157,35747,36378,36987,37580,38239,38889,39527,40253,40940,41610,42340,43082,43833,44571,45314,46029,46826,47579,48350,49151,49921,50718,51565,52411,53269,54111,54965,55906,56809,57671,58543,59465,60374,61263,62145,63123,64096,65042,66128,67165,68271,69363,70440,71565,72689,73825,74961,76090,77247,78494,79795,80984,82237,83531,84901,86262,87675,89059,90517,91999,93411,94915,96398,97886,99399,100964,102529,104158,105797,107375,109013,110648,112362,114120,115862,117614,119387,121151,123021,124872,126773,128773,130761,132736,134769,136811,138922,141054,143147,145262,147462,149750,152033,154376,156748,159193,161576,164112,166630,169224,171824,174536,177220,179927,182632,185393,188239,190956,193869,196779,199745,202817,205976,209018,212294,215603,218883,222174,225594,228996,232418,235868,239329,242845,246398,250105,253783,257589,261438,265222,269025,272928,276970,281005,285110,289202,293364,297593,301999,306349,310754,315210,319779,324379,329024,333733,338489,343345,348426,353344,358352,363582,368740,374105,379384,384893,390339,396053,401695,407386,413355,419301,425229,431250,437453,443648,449978,456507,463143,469635,476380,483208,490093,497064,503993,511209,518384,525747,533348,540928,548822,556683,564475,572528,580557,588688,597024,605453,613952,622485,631229,640000,648904,657958,667064,676385,685801,695247,704852,714484,724103,733893,743995,754171,764608
1,1,1,4,14,17,20,21,23,26,30,33,41,49,59,68,76,85,90,99,111,123,126,135,146,155,165,172,177,185,193,202,210,219,226,233,239,245,253,264,275,289,294,303,315,335,349,372,394,419,433,450,474,485,511,533,557,579,610,634,666,689,720,745,779,807,831,854,881,916,945,976,1012,1043,1074,1120,1168,1220,1270,1328,1369,1429,1495,1553,1607,1665,1720,1788,1849,1926,1999,2063,2146,2227,2318,2392,2476,2575,2667,2757,2835,2925,3024,3120,3210,3308,3407,3507,3599,3686,3780,3905,4014,4114,4225,4335,4433,4544,4652,4764,4883,5003,5112,5230,5361,5525,5659,5803,5957,6091,6244,6390,6533,6687,6841,7005,7179,7353,7522,7720,7881,8064,8242,8411,8586,8775,8990,9176,9369,9541,9740,9978,10198,10401,10601,10826,11051,11291,11518,11749,11991,12227,12480,12748,13016,13290,13540,13823,14092,14406,14692,15018,15339,15623,15934,16282,16566,16904,17199,17527,17853,18187,18483,18828,19121,19429,19751,20055,20365,20687,21004,21340,21643,21968,22278,22610,22913,23254,23601,23954,24263,24638,24984,25379,25769,26141,26542,26926,27336,27764,28179,28608,29040,29455,29892,30367,30841,31318,31834,32335,32809,33306,33776,34286,34774,35304,35811,36340,36860,37370,37888,38425,39042,39582,40142,40741,41328,41926,42552,43193,43836,44497,45168,45850,46562,47261,47992,48747,49593,50402,51143,51931,52748,53624,54439,55330,56191,57135,58038,58962,59945,60950,61927,62973,64044,65116,66188,67241,68383,69509,70719,71929,73126,74377,75599,76790,78050,79300,80584,81840,83138,84419,85776,87143,88455,89877,91248,92646,94018,95426,96877,98301,99787,101279,102759,104225,105811,107350,109034,110660,112233,113975,115612,117277,119017,120784,122588,124416,126263,128161,130032,131998,133933,135882,137915,139926,142030,144085,146263,148408,150680,152939,155220,157569,159933,162263,164707,167189,169620,172114,174745,177313,179997,182696,185530,188283,191071,193999,196839,199828,202846,205936,209058,212204,215408,218640,221973,225346,228645,231990,235460,239010,242523,246103,249591,253086,256745,260546,264280,268027,271754,275580,279457,283547,287679,291870,296107,300347,304725,309158,313645,318307,322872,327498,332125,336911,341639,346434,351340,356242,361237,366316,371522,376677,381966,387294,392774,398257,403728,409298,414849,420641,426354,432209,438102,443951,449883,455887,462041,468340,474541,481069,487405,494174,500815,507400,514233,520950,527888,534846,541891,549011,556076,563216,570597,578113,585774,593376,601306,609296,617375,625566,633837,642134,650483,658991,667760,676524,685513,694499,703723,712885,722200,731509,741103,751021,760918,771084,781245,791281,801672,812143,822520,833196,843812,854911,865977,877106,888460,899869,911323,922948,934793,946498,958606,970749,982940,995260,1007929,1020744,1033610,1046826,1060051,1073450,1086740,1100403,1114210,1128489,1142770,1157393,1172096,1186628,1201657,1216571,1232040,1247666,1263348,1279132,1295312,1311536,1327892,1344305,1361055,1377999,1394760,1411895,1429123,1446619,1464294,1481887,1499548,1517607,1535636,1553882,1572126,1590854,1609533
1,1,3,4,6,7,10,10,10,10,10,16,17,19,21,26,30,36,39,41,45,49,53,58,59,64,69,71,72,77,84,87,95,99,103,106,110,117,122,126,133,145,148,152,155,160,166,179,198,207,213,219,232,237,251,265,277,288,296,311,328,345,359,376,398,421,454,482,508,533,573,609,644,673,714,758,792,844,891,956,1010,1042,1077,1131,1180,1233,1286,1340,1399,1459,1515,1573,1632,1671,1736,1782,1847,1904,1960,2036,2091,2176,2234,2316,2396,2476,2567,2646,2727,2790,2852,2938,3017,3103,3208,3292,3380,3459,3562,3661,3741,3821,3924,4026,4136,4249,4337,4437,4558,4655,4753,4840,4951,5074,5194,5313,5425,5546,5676,5809,5925,6054,6205,6341,6489,6612,6765,6900,7028,7183,7350,7476,7650,7809,7966,8094,8245,8386,8523,8689,8845,8999,9152,9311,9468,9639,9788,9961,10108,10269,10423,10615,10780,10983,11176,11370,11577,11776,11983,12206,12403,12650,12894,13096,13356,13581,13814,14037,14284,14543,14827,15086,15365,15635,15931,16191,16496,16792,17077,17376,17665,17962,18246,18549,18886,19228,19540,19877,20212,20559,20890,21284,21624,21997,22334,22703,23073,23447,23846,24224,24585,24972,25340,25751,26161,26577,27039,27498,27910,28402,28858,29315,29795,30316,30783,31288,31754,32245,32762,33282,33811,34360,34891,35438,36002,36554,37158,37742,38335,38904,39491,40103,40729,41388,41990,42618,43269,43927,44608,45202,45845,46530,47188,47891,48607,49354,50107,50852,51626,52384,53172,53997,54843,55670,56519,57370,58259,59088,59993,60897,61802,62729,63683,64646,65617,66590,67609,68618,69668,70704,71824,72942,74055,75168,76351,77526,78761,79963,81235,82516,83742,85016,86284,87519,88817,90091,91424,92786,94094,95398,96769,98227,99621,100990,102418,103819,105295,106837,108401,109927,111505,113098,114681,116325,117995,119763,121520,123287,125058,126920,128805,130777,132743,134778,136826,138933,141059,143186,145361,147534,149781,152085,154361,156779,159197,161649,164204,166709,169349,172090,174747,177413,180166,182945,185703,188635,191531,194431,197462,200607,203667,206840,210029,213353,216613,220013,223391,226763,230181,233682,237258,240842,244491,248265,252031,255744,259497,263495,267459,271520,275668,279990,284217,288529,292971,297362,301871,306422,311095,315734,320441,325233,330183,335015,340059,345089,350235,355312,360575,365824,371255,376638,382226,387852,393392,399210,405068,411019,417013,423124,429291,435692,442198,448715,455337,462165,469098,476016,483057,490208,497346,504785,512115,519609,527375,534997,542695,550632,558791,566878,575185,583451,591814,600275,608739,617365,626086,634926,643938,652999,662302,671716,681117,690600,700303,710208,720377,730480,740421,750693,761132,771661,782382,793035,804175,815037,826095,837304,848648,860340,871894,883778,895639,907642,919715,931909,944413,956778,969458,982360,995386,1008701,1022047,1035445,1049153,1062877,1076762,1090782,1104989,1119424,1133918,1148650,1163770,1178994,1194304,1209858,1225535,1241500,1257525,1273738,1290199,1306745,1323615,1340386,1357356,1374644,1392311
1,1,3,4,4,10,10,11,12,13,15,15,17,22,24,27,31,34,37,43,45,49,56,60,67,74,83,90,97,101,110,119,138,152,162,175,196,204,217,235,247,268,288,303,323,345,366,384,397,425,447,476,498,521,543,571,595,622,644,667,695,712,730,750,771,794,822,846,874,900,926,953,998,1039,1080,1122,1182,1233,1295,1377,1434,1517,1602,1678,1774,1858,1960,2063,2172,2289,2400,2530,2639,2762,2879,2994,3126,3240,3373,3488,3600,3725,3862,4006,4136,4285,4410,4542,4689,4825,4990,5147,5300,5447,5605,5750,5900,6060,6229,6407,6592,6761,6935,7094,7289,7503,7690,7911,8116,8316,8530,8750,8967,9192,9412,9609,9847,10071,10280,10522,10766,11019,11263,11524,11799,12070,12341,12582,12865,13138,13410,13652,13922,14201,14484,14756,14997,15273,15533,15788,16070,16332,16603,16901,17184,17471,17766,18056,18357,18688,19002,19329,19661,20018,20354,20699,21066,21428,21781,22153,22513,22861,23247,23674,24059,24438,24864,25258,25630,26008,26435,26860,27264,27670,28110,28526,28955,29381,29826,30266,30678,31117,31576,32018,32482,32983,33468,33968,34461,34934,35457,35998,36535,37133,37705,38280,38851,39442,40017,40591,41222,41886,42517,43207,43853,44535,45158,45880,46521,47192,47857,48561,49252,50016,50746,51492,52193,52918,53668,54452,55237,55986,56827,57623,58395,59207,60025,60898,61761,62635,63501,64426,65395,66310,67252,68216,69209,70245,71255,72281,73304,74428,75484,76648,77783,78848,79998,81145,82287,83506,84761,86072,87383,88666,89977,91287,92631,93964,95311,96701,98089,99508,100985,102434,103924,105421,106906,108484,110044,111647,113245,114807,116521,118251,119948,121734,123503,125299,127128,128937,130706,132607,134708,136693,138754,140811,142921,145088,147217,149488,151614,153909,156201,158499,160794,163137,165575,167892,170353,172901,175421,178042,180691,183419,186131,188934,191713,194471,197330,200209,203164,206277,209423,212614,215837,219138,222522,225968,229468,233098,236618,240428,244144,247928,251748,255747,259946,264103,268239,272538,276772,281117,285608,289999,294448,298963,303666,308348,313140,317909,322772,327713,332633,337735,342785,348017,353196,358379,363784,369177,374614,380202,385714,391391,397172,402866,408834,414724,420767,426806,432984,439282,445613,452025,458444,464950,471664,478539,485369,492476,499550,506712,513861,521184,528656,536219,543939,551595,559485,567377,575371,583386,591701,599997,608345,616934,625499,634222,642953,652050,661094,670169,679432,688581,698046,707696,717310,727046,736845,746707,756535,766639,776734,787047,797404,807976,818472,829116,839839,850723,861776,872942,884379,895760,907379,919093,930849,942728,954867,967060,979526,992020,1004772,1017444,1030267,1043408,1056539,1069995,1083505,1097193,1110866,1124570,1138711,1153038,1167307,1182009,1196906,1211854,1226743,1241779,1257185,1272893,1288639,1304510,1320623,1336943,1353411,1370098,1386908,1404059,1421136,1438633,1456567,1474456,1492475,1510763,1529084,1547652,1566365,1585555,1604719,1624327,1643769,1663613,1683618,1703772,1724179,1744775,1765573,1786357,1807192,1828406,1849945,1871809,1893886,1915931,1938406
1,1,1,3,4,7,7,7,8,8,12,15,16,17,19,23,26,29,31,37,42,53,56,63,68,74,82,87,95,100,109,120,136,143,155,160,168,175,184,198,210,224,235,250,264,275,286,299,311,327,342,363,376,384,404,425,443,466,485,498,516,540,558,580,593,612,632,651,680,706,733,754,779,797,824,840,866,882,903,936,970,997,1027,1056,1098,1119,1152,1178,1221,1255,1290,1329,1370,1406,1450,1486,1521,1567,1601,1641,1684,1730,1773,1833,1885,1943,2001,2066,2115,2160,2220,2285,2352,2408,2446,2503,2574,2637,2690,2761,2837,2909,2981,3045,3111,3195,3276,3338,3411,3477,3538,3615,3679,3755,3821,3896,3969,4035,4113,4181,4259,4340,4415,4498,4595,4682,4756,4823,4911,5015,5128,5237,5355,5464,5553,5635,5738,5864,5962,6064,6169,6286,6409,6513,6660,6781,6911,7011,7136,7265,7378,7502,7619,7733,7837,7954,8075,8217,8329,8443,8551,8673,8789,8918,9039,9149,9286,9411,9524,9653,9776,9904,10047,10182,10304,10453,10594,10757,10901,11082,11243,11395,11566,11717,11905,12072,12269,12442,12632,12822,12993,13216,13414,13599,13791,14004,14231,14462,14667,14888,15121,15321,15530,15752,15966,16194,16422,16633,16877,17109,17354,17584,17813,18039,18273,18526,18784,19041,19302,19552,19797,20059,20337,20598,20887,21133,21391,21681,21991,22286,22587,22899,23210,23509,23826,24189,24531,24893,25288,25680,26092,26509,26887,27322,27744,28198,28610,29044,29492,29918,30337,30821,31276,31733,32215,32673,33144,33556,34023,34526,35024,35503,35991,36485,37016,37550,38100,38681,39203,39767,40321,40917,41520,42062,42613,43212,43860,44460,45118,45775,46410,47080,47740,48447,49117,49817,50530,51268,52024,52769,53533,54354,55131,55923,56769,57621,58457,59332,60192,61062,61945,62875,63803,64714,65632,66562,67474,68455,69390,70358,71413,72406,73421,74503,75568,76602,77703,78824,79961,81116,82165,83354,84575,85837,87063,88354,89751,91007,92355,93733,95092,96480,97894,99370,100849,102276,103767,105298,106811,108407,110034,111687,113332,115006,116686,118307,119942,121636,123386,125199,126902,128713,130523,132413,134270,136191,138225,140198,142216,144162,146295,148330,150464,152618,154737,157037,159369,161736,164166,166533,168997,171474,173825,176308,178888,181526,184218,186893,189647,192420,195306,198182,201114,204156,207252,210393,213549,216711,219926,223142,226369,229730,233184,236585,240109,243694,247242,250915,254518,258285,261996,265736,269543,273415,277270,281319,285285,289265,293317,297379,301483,305706,309926,314121,318340,322709,327028,331424,335829,340248,344890,349580,354281,359083,363892,368729,373747,378668,383721,388736,393804,398903,404106,409427,414717,419975,425392,430992,436529,442280,447933,453726,459519,465623,471715,477793,484018,490271,496496,503009,509372,515894,522594,529359,536258,543240,550074,557163,564247,571418,578559,585871,593290,600729,608356,615991,623842,631567,639459,647520,655537,663682,671887,680247,688499,696942,705458
1,1,1,1,1,3,3,4,6,7,9,12,16,22,25,27,31,36,42,47,52,57,57,61,68,78,87,96,104,111,120,130,138,141,156,170,184,197,210,219,233,248,265,278,298,315,326,345,368,384,405,424,441,458,481,505,528,553,592,620,648,678,702,732,768,816,862,899,949,993,1034,1067,1109,1155,1198,1238,1276,1316,1361,1414,1453,1507,1571,1610,1677,1731,1789,1849,1917,1976,2031,2107,2166,2230,2315,2381,2457,2536,2610,2686,2767,2843,2913,2997,3086,3167,3254,3338,3424,3510,3587,3677,3776,3879,3974,4061,4168,4271,4366,4465,4568,4672,4771,4897,5004,5121,5233,5327,5446,5575,5700,5807,5920,6051,6165,6280,6411,6537,6651,6764,6883,7002,7105,7233,7364,7489,7596,7719,7856,8008,8131,8259,8389,8516,8680,8822,8968,9120,9270,9424,9599,9739,9917,10100,10304,10525,10762,10990,11240,11478,11715,11972,12237,12485,12747,13006,13271,13564,13822,14079,14355,14658,14972,15277,15552,15858,16138,16432,16717,17003,17337,17656,17994,18329,18713,19091,19403,19793,20195,20573,20948,21360,21734,22113,22482,22904,23327,23738,24129,24532,24941,25357,25808,26283,26740,27219,27739,28198,28630,29102,29603,30115,30645,31187,31679,32226,32771,33356,33891,34453,34990,35531,36113,36698,37280,37887,38519,39128,39723,40365,41024,41671,42318,43031,43675,44314,45019,45708,46345,47071,47788,48502,49272,50050,50778,51579,52410,53249,54040,54859,55724,56601,57474,58399,59325,60256,61184,62153,63130,64082,65042,66024,67026,67977,68932,69937,70876,71923,72945,73924,75041,76115,77192,78311,79398,80442,81574,82672,83779,84828,85916,86997,88113,89283,90475,91688,92916,94187,95418,96685,98062,99443,100774,102173,103553,104957,106373,107827,109323,110836,112456,114054,115674,117392,119108,120825,122566,124249,126023,127835,129634,131445,133330,135138,137017,139004,141073,143191,145291,147427,149561,151765,153967,156261,158524,160852,163182,165528,167927,170274,172748,175252,177768,180340,182880,185636,188308,191153,193910,196676,199563,202394,205291,208293,211293,214460,217621,220728,224000,227236,230476,233750,237131,240527,244023,247589,251145,254658,258384,262132,266032,269823,273703,277651,281606,285605,289699,293886,298173,302391,306685,311091,315628,320241,324786,329410,334089,338771,343607,348517,353540,358477,363536,368501,373700,378906,384045,389284,394676,400153,405601,411129,416792,422655,428587,434495,440464,446515,452648,458916,465169,471430,477965,484481,491156,497906,504627,511500,518552,525718,532740,539944,547251,554627,562135,569771,577396,585101,592800,600818,608915,617169,625182,633450,641934,650313,658767,667490,676142,685025,693932,703040,712131,721540,731013,740463,750282,759933,769941,779924,790050,800450,810921,821358,832005,842776,853340,864332,875506,886779,898176,909714,921333,933289,945344,957443,969707,981812,994291,1006925,1019663,1032530,1045400,1058451,1071853,1085070,1098652,1112498,1126607,1140672,1154761,1169002,1183392,1198072,1212953,1228002,1243282,1258780,1274223,1290048,1305911,1322119,1338498,1354934,1371813,1388666,1405854
1,1,1,1,5,6,8,9,10,12,13,14,14,14,14,14,14,14,14,14,14,14,15,16,17,19,20,22,25,26,27,30,31,34,37,43,49,52,60,66,80,94,103,109,119,139,147,162,175,193,203,216,225,238,256,274,291,312,325,340,360,373,395,413,430,452,485,506,519,549,569,593,613,637,660,685,714,734,754,776,804,824,843,868,886,915,937,960,976,1001,1023,1041,1066,1084,1107,1124,1150,1170,1196,1222,1258,1292,1328,1367,1395,1429,1471,1502,1530,1564,1604,1658,1701,1749,1800,1847,1891,1937,1999,2062,2106,2155,2220,2265,2307,2354,2416,2482,2526,2585,2652,2701,2754,2793,2847,2889,2957,3000,3050,3097,3128,3179,3230,3275,3345,3390,3435,3494,3554,3611,3679,3753,3834,3905,3980,4039,4113,4196,4263,4367,4432,4511,4602,4691,4782,4868,4947,5037,5131,5213,5316,5417,5516,5618,5732,5843,5958,6066,6183,6294,6397,6500,6617,6728,6856,6966,7115,7236,7368,7515,7666,7815,7933,8052,8171,8315,8471,8631,8767,8922,9094,9247,9414,9573,9716,9889,10065,10229,10383,10561,10736,10917,11095,11290,11465,11653,11856,12054,12252,12455,12673,12889,13097,13310,13547,13804,14059,14279,14551,14801,15069,15300,15540,15815,16111,16399,16678,16980,17284,17591,17898,18212,18520,18843,19161,19446,19767,20111,20477,20841,21186,21505,21881,22258,22604,22955,23328,23729,24113,24501,24922,25305,25716,26173,26568,26967,27402,27859,28323,28768,29191,29675,30109,30562,31018,31490,31986,32459,32971,33497,33978,34521,35057,35601,36184,36751,37323,37923,38557,39192,39834,40559,41262,41949,42681,43432,44193,44969,45761,46555,47354,48205,49061,49892,50862,51781,52664,53560,54520,55425,56309,57255,58200,59141,60196,61209,62210,63164,64250,65272,66351,67412,68537,69638,70746,71849,73035,74155,75255,76467,77611,78750,79939,81110,82386,83668,84913,86221,87550,88862,90150,91452,92835,94151,95554,96955,98353,99757,101234,102606,104134,105614,107195,108694,110264,111915,113587,115323,117071,118857,120591,122368,124239,126084,127917,129785,131681,133699,135651,137673,139627,141604,143610,145754,147862,149969,152090,154312,156600,158907,161245,163625,166094,168452,170960,173448,176037,178659,181302,183863,186542,189165,191994,194868,197753,200547,203407,206393,209488,212543,215702,218972,222219,225560,228910,232258,235676,239281,242817,246499,250180,253873,257649,261466,265407,269353,273384,277466,281686,285921,290227,294520,298797,303226,307658,312285,316987,321809,326585,331564,336371,341381,346379,351415,356659,361968,367234,372513,377929,383521,389164,394721,400429,406286,412227,418090,424202,430217,436341,442574,448924,455193,461605,468065,474623,481267,487959,494726,501474,508312,515294,522525,529562,536703,544065,551437,558892,566481,574244,581833,589620,597423,605240,613300,621580,629787,638111,646492,654810,663659,672131,680940,689787,698788,707770,717106,726406,735685,745113,754787,764674,774545,784701,794828,805147,815754,826555
1,1,1,1,1,2,3,3,4,5,6,7,8,9,10,10,13,16,19,24,29,32,35,44,49,53,62,72,81,86,94,108,116,129,135,147,160,177,184,191,201,209,220,233,242,251,261,270,278,286,292,302,315,317,325,334,349,355,362,369,375,385,391,403,414,429,440,449,466,473,481,494,508,515,530,548,562,569,582,591,601,614,626,638,651,663,674,684,696,714,733,760,784,818,837,869,911,938,972,997,1040,1087,1123,1160,1206,1249,1302,1356,1401,1451,1506,1557,1602,1655,1711,1760,1816,1858,1909,1967,2026,2079,2144,2205,2260,2300,2367,2435,2503,2569,2636,2706,2785,2859,2922,2999,3085,3169,3251,3340,3421,3509,3588,3696,3797,3890,3992,4105,4232,4350,4474,4610,4717,4840,4970,5089,5229,5376,5537,5690,5821,5997,6158,6285,6422,6571,6713,6866,7049,7212,7367,7512,7667,7816,7946,8090,8244,8412,8563,8701,8865,9004,9170,9352,9515,9676,9822,9996,10166,10316,10479,10640,10819,10981,11192,11377,11545,11749,11943,12132,12348,12551,12770,12980,13163,13391,13618,13818,14054,14267,14503,14753,14991,15236,15467,15750,16026,16280,16551,16803,17067,17355,17676,17986,18300,18625,18969,19300,19653,19992,20327,20659,21053,21409,21762,22133,22459,22828,23168,23546,23902,24288,24679,25056,25445,25833,26189,26590,26997,27388,27784,28166,28584,28998,29424,29802,30210,30631,31110,31550,32032,32491,32931,33394,33867,34303,34787,35277,35795,36340,36840,37388,37932,38504,39032,39582,40185,40797,41373,41974,42607,43244,43911,44569,45241,45868,46531,47167,47873,48576,49265,49996,50733,51449,52154,52874,53600,54325,55128,55937,56714,57508,58373,59150,59919,60756,61606,62469,63325,64203,65030,65848,66744,67617,68492,69369,70287,71248,72184,73120,74021,75030,76025,77047,78056,79049,80141,81227,82333,83496,84656,85807,87000,88194,89433,90706,91937,93204,94497,95831,97061,98416,99832,101181,102537,103910,105345,106803,108212,109667,111063,112543,114008,115530,117054,118671,120303,122012,123758,125442,127176,128886,130750,132501,134310,136154,138027,139876,141822,143801,145838,147872,149945,152058,154208,156283,158480,160578,162914,165099,167441,169672,172007,174352,176696,179107,181555,183959,186506,189139,191725,194381,197081,199879,202684,205449,208316,211119,214105,217096,220043,223017,226041,229256,232373,235680,238923,242238,245647,249067,252564,256087,259629,263246,266853,270477,274196,277922,281869,285659,289561,293547,297549,301622,305710,309901,314181,318507,322748,327242,331653,336209,340802,345369,350111,354938,359584,364530,369476,374441,379321,384342,389315,394600,399915,405202,410844,416435,422196,427864,433774,439752,445789,451832,458017,464213,470562,476947,483371,489958,496525,503150,509961,516749,523835,530787,537977,545292,552579,559899,567299,574868,582502,590286,598138,606196,614659,622906,631088,639637,648380,656937,665658,674544,683803,692936,702014,711438,721012,730763,740587,750860,761265,771469,781762,792320,802999
1,1,1,1,1,2,3,3,4,8,11,15,23,25,29,34,40,40,42,44,47,53,61,69,86,100,113,127,145,163,180,194,212,224,240,254,287,308,327,353,373,398,418,434,458,481,505,529,563,588,611,636,659,679,707,741,793,849,893,942,994,1038,1089,1131,1176,1226,1279,1331,1376,1422,1469,1513,1584,1640,1696,1750,1820,1893,1954,2010,2075,2137,2228,2300,2374,2443,2507,2580,2633,2702,2776,2854,2919,3000,3079,3161,3258,3317,3392,3464,3548,3615,3701,3782,3874,3939,4021,4102,4190,4282,4374,4458,4532,4615,4700,4802,4918,5015,5130,5246,5351,5461,5579,5714,5850,5975,6129,6254,6387,6519,6656,6791,6928,7080,7248,7421,7580,7760,7916,8063,8225,8414,8599,8772,8965,9164,9349,9542,9732,9931,10117,10301,10492,10669,10840,11019,11207,11415,11626,11798,11982,12169,12360,12557,12764,12941,13132,13299,13484,13640,13830,14005,14199,14399,14589,14778,14968,15183,15377,15570,15775,16012,16222,16461,16664,16898,17137,17389,17610,17838,18035,18298,18547,18811,19078,19343,19615,19898,20175,20464,20709,20979,21257,21537,21845,22173,22448,22728,23046,23366,23687,24004,24328,24620,24957,25267,25587,25918,26249,26553,26856,27173,27488,27840,28209,28585,28973,29290,29673,30077,30437,30823,31202,31571,31960,32324,32730,33116,33545,34008,34431,34869,35334,35743,36206,36687,37145,37663,38165,38654,39157,39707,40238,40825,41385,41935,42485,43063,43627,44175,44722,45313,45899,46492,47040,47647,48253,48854,49477,50106,50745,51417,52089,52750,53422,54120,54815,55528,56229,56991,57778,58592,59394,60234,61102,61899,62765,63627,64526,65442,66408,67381,68301,69293,70292,71283,72312,73353,74450,75460,76585,77723,78874,80013,81245,82432,83697,84959,86243,87521,88884,90277,91660,93058,94522,96049,97628,99183,100748,102330,103916,105537,107270,108914,110633,112402,114137,116040,117862,119790,121678,123551,125541,127595,129590,131645,133709,135779,137906,140114,142231,144518,146790,149046,151314,153651,155983,158423,160848,163243,165723,168314,170816,173276,175947,178560,181257,184061,186743,189539,192331,195307,198380,201356,204447,207530,210641,213850,217035,220243,223564,226891,230296,233783,237383,240900,244547,248124,251799,255474,259159,263065,266999,270925,275058,279120,283265,287412,291541,295909,300227,304543,308907,313370,318103,322727,327481,332269,337116,341847,346598,351588,356670,361877,367118,372480,377813,383267,388667,394115,399797,405483,411224,417090,422860,428913,434946,441065,447169,453439,459907,466328,472721,479069,485594,492310,498916,505675,512494,519514,526481,533603,540949,548181,555562,563083,570479,578121,585837,593527,601480,609449,617701,625820,634306,642775,651439,660017,668782,677494,686488,695529,704522,713831,723007,732516,741872,751723,761332,771101,781008,791130,801393,811656,822229,832766,843397,854141,864951,876123,887398,898913,910496,922261,934065,946129,958279,970485,982939,995403,1008104,1020810,1033728,1046837,1059948,1073353,1086755,1100528,1114138,1128109,1142445,1156750,1170970,1185594,1200411,1215147,1230178
1,1,1,1,1,1,1,2,4,4,4,9,10,12,15,15,16,16,18,24,31,34,42,46,51,56,63,70,77,82,91,97,105,114,125,133,138,149,155,164,171,179,185,199,209,218,228,236,253,261,273,289,298,306,316,329,348,360,378,386,393,404,413,428,441,450,464,473,493,506,522,545,564,578,591,601,622,633,644,657,681,699,715,728,747,767,787,802,814,833,858,877,895,905,919,942,965,989,1015,1040,1053,1070,1091,1117,1137,1165,1192,1217,1239,1264,1292,1320,1345,1369,1403,1436,1457,1489,1514,1529,1554,1573,1598,1628,1665,1699,1729,1751,1783,1804,1830,1853,1890,1927,1963,1991,2027,2057,2085,2116,2147,2176,2202,2234,2260,2287,2305,2332,2356,2380,2403,2433,2462,2491,2511,2532,2570,2593,2620,2648,2674,2701,2740,2770,2794,2827,2861,2894,2918,2959,2992,3031,3065,3100,3128,3165,3192,3225,3251,3279,3306,3340,3365,3404,3453,3485,3522,3552,3581,3613,3658,3703,3749,3789,3842,3870,3912,3962,4003,4055,4118,4163,4209,4267,4327,4367,4425,4488,4551,4593,4644,4698,4751,4807,4879,4942,4997,5053,5112,5175,5222,5278,5335,5410,5466,5530,5618,5676,5746,5821,5913,5995,6079,6173,6265,6369,6463,6552,6648,6747,6847,6945,7042,7131,7242,7368,7479,7589,7716,7815,7949,8084,8219,8357,8480,8609,8740,8884,9048,9178,9332,9504,9663,9844,10016,10179,10364,10552,10738,10920,11084,11290,11504,11701,11915,12118,12349,12601,12814,13012,13219,13429,13637,13859,14072,14300,14522,14730,14944,15188,15413,15629,15853,16089,16330,16572,16790,17001,17226,17457,17690,17947,18193,18453,18724,18980,19279,19559,19841,20115,20392,20721,21064,21382,21706,22044,22373,22725,23073,23431,23777,24118,24473,24822,25201,25564,25961,26364,26771,27166,27571,27987,28387,28785,29191,29651,30103,30553,30968,31396,31843,32275,32747,33200,33681,34149,34625,35125,35654,36151,36658,37147,37688,38245,38767,39308,39869,40483,41050,41687,42317,42996,43642,44291,44943,45633,46347,47010,47686,48344,48997,49719,50395,51108,51835,52528,53205,53947,54696,55488,56334,57087,57895,58697,59551,60395,61235,62076,62923,63781,64676,65556,66494,67433,68398,69362,70377,71377,72435,73480,74531,75588,76630,77685,78785,79928,81105,82262,83415,84577,85699,86912,88159,89383,90620,91875,93126,94379,95674,96960,98242,99605,100949,102347,103792,105255,106695,108187,109836,111439,113038,114635,116290,117951,119614,121299,123068,124790,126627,128520,130399,132291,134165,136076,138030,140017,142069,144078,146078,148173,150243,152346,154473,156673,158743,160959,163230,165480,167801,170134,172475,174918,177346,179804,182259,184751,187276,189771,192356,195039,197659,200345,203079,205901,208693,211521,214416,217268,220121,223070,226111,229144,232191,235248,238416,241537,244701,248062,251451,254808,258302,261882,265453,269182,272975,276735,280583
1,1,1,1,3,4,6,7,7,8,10,11,12,12,12,13,15,20,23,25,26,28,31,37,42,46,50,53,60,64,68,75,86,93,99,105,110,118,123,134,140,146,147,154,159,166,176,179,187,193,208,222,227,237,242,249,258,265,269,275,289,294,303,314,324,332,348,354,363,375,387,393,402,414,426,435,438,457,472,483,496,511,523,536,548,560,565,574,596,611,629,643,661,679,700,727,743,771,794,831,867,896,915,936,957,980,1004,1040,1083,1114,1143,1167,1203,1235,1283,1321,1369,1420,1473,1516,1567,1623,1670,1730,1785,1861,1923,2020,2088,2154,2223,2308,2400,2500,2581,2656,2751,2839,2946,3027,3128,3213,3286,3368,3492,3576,3687,3805,3899,4017,4110,4205,4308,4420,4557,4662,4785,4894,5015,5155,5287,5405,5514,5644,5763,5862,5974,6111,6240,6375,6510,6662,6798,6944,7095,7239,7394,7542,7687,7849,8012,8169,8331,8500,8687,8868,9062,9239,9432,9623,9831,10020,10255,10465,10710,10935,11180,11434,11667,11917,12200,12451,12731,12990,13260,13540,13806,14115,14415,14741,15045,15367,15706,16058,16388,16719,17086,17429,17798,18163,18562,18910,19316,19689,20077,20478,20909,21306,21712,22142,22553,23006,23459,23891,24330,24834,25341,25807,26316,26808,27325,27845,28407,28933,29421,29947,30508,31071,31614,32143,32728,33305,33922,34469,35060,35667,36253,36824,37399,37972,38541,39079,39671,40296,40829,41410,42031,42659,43270,43841,44477,45098,45694,46282,46880,47562,48161,48823,49533,50221,50891,51612,52312,53071,53798,54529,55302,56141,56915,57708,58517,59329,60119,60896,61677,62477,63360,64207,65050,65944,66839,67653,68534,69419,70313,71142,72080,72949,73856,74794,75664,76603,77554,78500,79515,80496,81489,82458,83484,84579,85668,86780,87911,89015,90139,91225,92386,93568,94766,95992,97314,98672,99984,101341,102757,104169,105632,106984,108410,109890,111349,112822,114398,116040,117703,119371,121041,122655,124362,126108,127930,129838,131690,133603,135471,137380,139254,141187,143202,145202,147263,149347,151441,153532,155697,157912,160065,162369,164607,166944,169262,171622,174107,176549,179029,181510,184070,186625,189224,191907,194603,197331,200149,202913,205799,208712,211596,214597,217611,220596,223722,226768,229977,233202,236366,239616,242954,246483,249929,253477,257045,260782,264503,268297,272139,275991,279942,283939,287954,292073,296171,300242,304396,308652,312974,317254,321622,325985,330567,335082,339508,344073,348650,353387,358183,363034,367817,372743,377758,382741,387887,393010,398318,403549,408977,414391,419945,425565,431028,436653,442349,448094,453953,460094,466175,472413,478493,484695,491027,497493,504049,510615,517305,524091,530865,537683,544766,551831,558938,566149,573539,581152,588745,596330,604143,612003,619689,627787,635841,643884,652004,660411,668688,677133,685650,694197,702914,711782,720714,729755,738775,747795,756955,766176,775618,785214,794794,804674,814495,824464,834584,844823,855383,865852,876614,887343,898284
1,1,1,1,1,2,3,3,5,6,8,8,8,8,11,13,17,19,23,25,27,30,35,41,49,56,64,74,82,91,100,114,127,144,159,171,185,194,204,214,226,245,267,282,302,325,339,353,376,394,413,430,454,488,524,562,593,625,662,697,731,774,815,862,900,936,976,1005,1042,1085,1124,1176,1206,1241,1287,1322,1356,1388,1425,1470,1505,1541,1585,1618,1658,1692,1722,1750,1778,1808,1850,1883,1924,1963,2004,2036,2074,2114,2161,2194,2244,2292,2341,2395,2451,2501,2561,2618,2668,2726,2787,2861,2937,2986,3046,3112,3190,3254,3347,3414,3469,3549,3635,3723,3806,3892,3974,4055,4134,4219,4295,4386,4465,4538,4631,4738,4845,4916,4997,5076,5181,5272,5370,5474,5579,5683,5803,5907,6013,6136,6247,6379,6504,6614,6741,6861,6977,7098,7235,7375,7510,7642,7785,7928,8065,8234,8398,8578,8722,8900,9075,9244,9402,9597,9754,9969,10175,10364,10590,10777,10969,11154,11352,11551,11729,11937,12148,12367,12575,12789,12973,13202,13407,13635,13877,14079,14307,14505,14769,15001,15221,15461,15699,15952,16219,16441,16681,16927,17164,17437,17689,17946,18215,18489,18762,19046,19351,19648,19998,20308,20600,20937,21267,21575,21907,22241,22582,22933,23278,23618,24023,24373,24738,25138,25555,25971,26381,26774,27144,27560,27963,28400,28817,29217,29657,30104,30559,30980,31446,31918,32381,32866,33382,33893,34408,34946,35450,35986,36494,37034,37583,38114,38715,39272,39852,40441,41101,41687,42340,42961,43630,44332,44994,45653,46367,47075,47774,48515,49279,49998,50760,51527,52362,53143,53923,54759,55633,56525,57445,58346,59238,60125,61087,62032,62976,63934,64996,65971,66962,67912,68896,69913,70970,71973,72981,74033,75152,76171,77212,78285,79352,80439,81498,82546,83705,84870,85918,87084,88200,89397,90623,91824,93106,94387,95655,96893,98216,99495,100813,102176,103484,104844,106209,107650,109097,110518,111980,113455,114956,116511,118044,119564,121102,122728,124282,125858,127508,129181,130838,132576,134236,135943,137614,139351,141147,143027,144839,146745,148611,150573,152588,154453,156471,158425,160446,162558,164721,166881,169046,171257,173477,175854,178179,180572,182992,185482,187857,190277,192813,195391,197970,200574,203191,205778,208516,211219,213971,216762,219558,222393,225217,228130,231121,234067,237065,240106,243217,246194,249384,252593,255868,259221,262675,266057,269557,273170,276625,280197,283960,287755,291526,295451,299463,303471,307473,311559,315684,319711,323970,328394,332912,337371,341855,346404,351159,355878,360749,365686,370763,375864,381024,386111,391443,396665,402109,407579,413056,418760,424534,430296,436226,442103,448059,454059,460253,466415,472678,478972,485396,492019,498408,505111,511846,518835,525757,532916,540023,547368,554952,562488,570211,577992,585847,593727,601542,609683,617891,626131,634689,643268,651891,660601,669347,678249,687201,696379,705451,714795,724441,733993,743583,753397,763504,773510,783763,794198,804723,815347,826135,836947,847892,859215,870605,882132,893862,905873,917760
1,1,1,1,1,2,3,4,6,8,10,11,13,13,15,19,21,28,30,33,38,42,48,56,60,65,75,79,90,101,109,121,128,140,152,169,192,204,219,239,256,274,287,301,319,344,368,396,425,449,485,511,532,560,594,627,668,706,736,780,804,832,861,892,919,950,984,1015,1053,1077,1110,1147,1176,1221,1253,1291,1325,1367,1403,1457,1500,1542,1597,1644,1693,1739,1812,1883,1967,2054,2131,2215,2280,2374,2470,2578,2663,2762,2871,2974,3076,3179,3276,3386,3483,3566,3644,3731,3821,3919,4020,4127,4248,4351,4451,4567,4690,4786,4911,5021,5131,5270,5405,5558,5726,5867,6032,6196,6384,6551,6720,6955,7145,7362,7584,7808,8071,8327,8539,8799,9062,9341,9641,9951,10241,10507,10788,11076,11375,11681,11967,12274,12599,12911,13205,13475,13787,14097,14425,14760,15105,15423,15738,16067,16396,16780,17154,17507,17914,18289,18646,19055,19441,19841,20210,20665,21094,21497,21895,22296,22725,23161,23556,24039,24509,24975,25463,25947,26443,26923,27442,27932,28453,28997,29525,30055,30583,31146,31684,32234,32783,33378,33912,34512,35094,35656,36238,36806,37392,38005,38562,39162,39818,40437,41077,41752,42355,43045,43737,44454,45143,45794,46499,47187,47914,48647,49375,50153,50985,51797,52694,53532,54320,55174,56080,56965,57920,58864,59837,60830,61812,62770,63748,64823,65855,66862,67932,68937,70025,71070,72122,73185,74260,75332,76479,77599,78729,79795,80900,82030,83107,84229,85369,86581,87763,88940,90153,91390,92596,93874,95192,96468,97870,99247,100541,101874,103319,104680,106104,107525,108966,110469,111969,113575,115042,116607,118134,119692,121353,123052,124705,126421,128134,129895,131603,133351,135142,136881,138608,140418,142264,144017,145860,147805,149709,151596,153524,155470,157461,159418,161429,163453,165624,167776,169827,171899,174002,176211,178440,180701,182987,185354,187840,190296,192771,195186,197676,200096,202672,205336,208014,210737,213392,216166,218945,221671,224514,227387,230260,233210,236210,239365,242373,245429,248632,251788,255102,258339,261596,264980,268346,271741,275152,278637,282059,285610,289054,292704,296396,300045,303770,307648,311541,315518,319590,323581,327811,331984,336231,340477,344849,349266,353822,358253,362811,367519,372374,377361,382223,387245,392268,397375,402647,407873,413389,418701,424180,429842,435536,441350,447445,453502,459571,465700,471915,478235,484657,491194,497649,504429,511039,517953,524925,532286,539585,546925,554300,561878,569470,577161,584964,593075,601116,609081,617349,625694,633986,642540,651160,660025,668867,677882,687022,696372,705746,715190,724898,734766,744666,754578,764749,775064,785347,795805,806130,816944,828062,839194,850603,862042,873688,885324,897176,909234,921548,933657,945983,958620,971346,984443,997499,1010602,1024151,1037645,1051216,1065015,1078920,1092735,1106992,1121458,1136175,1151296,1166152,1181609,1197190,1212793,1228288,1244015,1260146,1276377,1292963,1309601,1326425,1343462,1360634,1378101,1395738,1413731,1431605,1449800,1468187,1486973,1505602,1524550,1543384,1562567,1582166,1602021,1621783,1641727,1661827,1682332,1702570,1722991,1743933,1765032,1786119
1,1,1,1,1,1,1,1,1,1,1,4,5,7,9,9,10,13,15,22,27,31,37,45,51,59,68,74,81,91,97,105,115,123,126,137,148,154,160,174,183,191,197,204,211,222,230,234,238,244,251,259,267,273,276,288,297,306,321,329,337,347,352,364,379,395,411,428,445,463,490,518,539,559,578,601,627,650,669,698,725,748,773,793,812,835,867,900,934,973,1008,1033,1069,1099,1131,1172,1211,1258,1316,1372,1434,1490,1546,1619,1678,1757,1850,1945,2027,2094,2186,2279,2375,2462,2553,2645,2738,2819,2917,3024,3125,3212,3309,3400,3499,3601,3695,3792,3901,4015,4110,4223,4344,4450,4569,4663,4795,4917,5027,5135,5283,5423,5552,5731,5881,6022,6145,6291,6428,6573,6730,6880,7032,7186,7354,7527,7694,7837,8002,8136,8301,8480,8634,8772,8931,9115,9295,9469,9619,9791,9964,10142,10312,10488,10658,10821,10979,11153,11328,11529,11720,11910,12089,12268,12472,12666,12834,13023,13245,13443,13659,13880,14101,14335,14564,14784,15022,15291,15520,15749,16002,16243,16499,16759,16999,17289,17544,17859,18139,18424,18681,18978,19269,19596,19919,20239,20582,20904,21213,21574,21919,22281,22631,22948,23281,23629,23993,24360,24709,25096,25428,25817,26240,26639,27038,27443,27846,28245,28649,29075,29499,29927,30339,30801,31249,31659,32111,32581,33102,33578,34048,34582,35063,35601,36083,36573,37117,37631,38113,38595,39128,39623,40132,40644,41159,41719,42273,42799,43346,43888,44410,44976,45534,46067,46664,47218,47786,48340,48878,49565,50135,50710,51284,51831,52437,53077,53722,54409,55084,55768,56418,57118,57854,58648,59418,60205,60986,61799,62616,63438,64289,65114,65991,66845,67718,68647,69561,70497,71408,72322,73284,74291,75296,76342,77363,78378,79436,80453,81485,82563,83696,84884,86042,87158,88310,89548,90725,91953,93206,94408,95694,96891,98154,99417,100731,102046,103311,104654,105976,107395,108853,110351,111872,113341,114856,116383,117941,119435,121071,122682,124261,125901,127596,129289,131025,132867,134622,136451,138265,140154,142035,143908,145859,147800,149830,151796,153781,155775,157824,159892,162094,164322,166490,168757,170981,173320,175664,178119,180644,183125,185633,188174,190828,193416,196073,198774,201557,204362,207286,210140,213136,216128,219204,222311,225549,228696,231998,235318,238586,241993,245366,248838,252371,256027,259745,263547,267399,271265,275036,279052,283031,287106,291207,295391,299672,304059,308418,312885,317420,321999,326583,331153,335802,340637,345471,350381,355483,360516,365747,370882,376092,381372,386851,392267,397699,403323,408978,414747,420763,426592,432497,438572,444592,450779,457100,463386,469747,476241,482669,489467,496151,502920,509752,516824,523983,530998,538334,545737,553258,560836,568297,575919,583666,591685,599528,607508,615618,623869,632395,640936,649590,658338,667329,676178,685118,694255,703660,713119,722570,732219,741699,751528,761366,771473,781557,791813,802251,812754,823236,833833,844757,855898,867183,878388,889878,901297,913023
1,1,1,5,6,8,10,10,11,11,14,14,15,18,21,26,29,34,39,43,48,52,58,61,69,74,80,91,97,102,114,120,127,138,144,150,160,172,185,197,214,224,232,243,249,261,275,284,298,312,329,341,356,376,384,401,411,429,442,464,473,497,515,530,551,568,588,604,628,649,674,696,709,730,744,755,767,784,798,813,835,854,870,888,902,916,926,947,962,987,1008,1026,1050,1081,1118,1156,1195,1233,1268,1303,1336,1372,1417,1455,1496,1533,1574,1629,1680,1718,1760,1806,1843,1899,1942,1986,2042,2090,2130,2179,2233,2284,2333,2385,2446,2517,2579,2641,2709,2773,2849,2933,2998,3089,3164,3251,3310,3382,3461,3534,3618,3693,3783,3872,3954,4044,4123,4199,4265,4343,4429,4504,4602,4692,4788,4883,4966,5049,5130,5211,5286,5360,5441,5528,5615,5696,5768,5862,5958,6051,6138,6224,6311,6393,6500,6589,6683,6794,6894,7010,7111,7230,7350,7489,7609,7724,7843,7952,8075,8189,8325,8448,8556,8665,8781,8912,9062,9196,9334,9459,9580,9707,9851,9984,10110,10240,10390,10580,10741,10892,11063,11228,11408,11564,11732,11919,12115,12321,12504,12720,12920,13155,13362,13607,13831,14070,14286,14528,14777,15020,15280,15567,15837,16085,16361,16629,16897,17162,17413,17675,17953,18231,18518,18785,19047,19317,19597,19847,20107,20370,20620,20904,21172,21425,21704,21965,22219,22470,22795,23073,23402,23729,24045,24394,24737,25056,25395,25755,26128,26511,26835,27223,27612,28016,28412,28789,29190,29610,29995,30423,30880,31329,31738,32149,32555,32996,33445,33882,34332,34804,35242,35688,36169,36665,37164,37658,38165,38722,39244,39719,40245,40817,41361,41912,42508,43064,43669,44262,44849,45458,46080,46681,47323,47956,48613,49273,49942,50631,51321,51993,52696,53471,54256,54980,55759,56591,57331,58113,58928,59736,60597,61485,62331,63200,64072,64971,65912,66843,67762,68724,69672,70646,71595,72533,73530,74572,75607,76638,77713,78781,79871,80998,82176,83329,84452,85640,86834,87991,89196,90440,91721,93006,94295,95586,96925,98278,99647,101026,102456,103828,105281,106686,108196,109738,111256,112777,114360,115909,117422,118921,120488,122150,123707,125343,126921,128509,130274,131883,133681,135408,137214,139037,140835,142719,144599,146523,148415,150351,152248,154286,156338,158423,160572,162841,165012,167228,169490,171723,174035,176249,178537,180937,183305,185758,188253,190729,193230,195759,198304,200909,203509,206193,208893,211697,214572,217467,220373,223278,226181,229210,232276,235373,238417,241606,244809,248111,251457,254808,258127,261481,264821,268406,271959,275554,279134,282707,286484,290187,294034,297824,301842,305850,309886,313903,317968,322138,326453,330822,335095,339483,343969,348381,352872,357574,362216,366814,371486,376289,381049,385945,391023,395977,401137,406254,411609,417000,422352,427675,433117,438860,444446,450241,456174,462037,468087,474141,480066,486211,492560,499022,505391,512017,518560,525266,531901,538877,545714
1,1,1,1,2,2,3,3,4,4,5,6,6,6,6,6,6,6,8,8,10,13,14,17,18,20,22,24,26,27,31,38,48,54,60,67,81,89,104,114,124,134,145,156,167,179,188,196,206,210,220,234,252,261,273,286,294,313,328,344,361,382,411,428,441,463,484,508,525,543,579,597,623,641,668,703,733,761,796,819,843,867,891,927,947,977,1006,1038,1071,1113,1144,1172,1211,1234,1268,1302,1355,1397,1449,1497,1553,1604,1654,1701,1754,1806,1866,1913,1994,2056,2113,2176,2244,2301,2376,2450,2528,2585,2670,2753,2845,2923,2998,3085,3164,3259,3340,3432,3561,3677,3784,3900,4007,4143,4291,4423,4561,4735,4907,5074,5232,5392,5565,5737,5920,6081,6281,6487,6677,6862,7042,7267,7485,7697,7920,8136,8358,8590,8854,9098,9325,9560,9803,10074,10327,10587,10864,11127,11438,11749,12043,12321,12647,12981,13286,13585,13895,14242,14587,14938,15315,15700,16072,16437,16841,17238,17608,17999,18372,18741,19140,19548,19916,20351,20732,21153,21549,21961,22417,22903,23381,23857,24332,24802,25251,25749,26205,26649,27141,27650,28192,28715,29249,29758,30283,30873,31438,32000,32546,33072,33669,34224,34729,35318,35919,36523,37120,37656,38253,38861,39419,40051,40665,41320,41997,42674,43344,44027,44740,45402,46072,46748,47472,48247,48946,49722,50427,51236,51981,52751,53541,54296,55120,55902,56713,57575,58462,59292,60155,61108,62041,62982,63959,64933,65917,66895,67919,68968,69978,71003,72018,73080,74233,75367,76497,77690,78877,80033,81225,82439,83709,84938,86184,87443,88698,89994,91202,92510,93798,95115,96458,97797,99189,100631,102090,103484,104922,106395,107880,109402,110978,112508,114125,115748,117325,118995,120687,122442,124203,125917,127693,129447,131243,133135,135031,136948,138890,140806,142801,144751,146779,148788,150918,153028,155147,157385,159549,161770,164032,166314,168568,170800,173171,175576,178000,180412,182838,185358,187894,190395,192948,195563,198217,200876,203494,206229,208997,211822,214715,217578,220427,223388,226218,229242,232265,235369,238621,241816,245044,248404,251709,255138,258545,262120,265719,269424,273015,276771,280557,284452,288280,292242,296200,300199,304247,308342,312617,316857,321174,325551,329973,334396,338877,343410,348055,352760,357377,362174,367026,371845,376767,381715,386705,391737,396890,401995,407262,412585,417977,423433,429086,434749,440574,446412,452345,458514,464732,470805,477055,483328,489558,496063,502524,509087,515694,522565,529293,536259,543128,550010,557185,564384,571821,579328,586825,594454,602153,609832,617799,625601,633746,641891,650013,658386,666715,675147,683784,692541,701481,710498,719563,728649,737726,746936,756340,765769,775322,784969,794920,804810,814997,825134,835646,846355,856802,867661,878856,890018,901178,912365,923671,935256,947002,958832,970857,982844,995016,1007257,1019669,1032010,1044670,1057535,1070490,1083619,1096859,1110257,1123876,1137480,1151421,1165350,1179590,1193904,1208218,1222823,1237579,1252804,1267768,1282789,1298380,1314088,1329842,1345739,1361502,1377701,1394108,1410582,1427331
1,1,1,1,1,2,3,3,4,4,7,8,9,10,12,15,16,19,24,26,28,30,35,42,46,50,56,61,67,73,83,92,98,106,113,122,132,143,161,169,178,197,209,228,250,264,282,298,311,327,336,356,375,389,411,433,452,468,488,514,533,550,575,600,620,633,656,680,708,746,781,816,848,888,932,953,988,1031,1067,1100,1148,1189,1232,1276,1308,1342,1385,1410,1444,1471,1515,1558,1583,1621,1656,1694,1743,1769,1809,1840,1881,1920,1952,1994,2028,2071,2113,2172,2213,2262,2307,2366,2411,2450,2492,2527,2574,2621,2659,2710,2757,2791,2843,2876,2934,2990,3057,3102,3157,3199,3249,3312,3364,3424,3481,3549,3617,3693,3770,3833,3893,3970,4039,4120,4186,4258,4322,4397,4460,4533,4599,4667,4722,4804,4882,4946,5004,5067,5132,5181,5237,5298,5364,5423,5483,5529,5578,5629,5676,5726,5765,5819,5854,5901,5944,5985,6025,6054,6093,6148,6192,6241,6282,6329,6378,6424,6474,6533,6577,6623,6671,6729,6778,6827,6874,6937,6992,7040,7103,7148,7205,7254,7316,7371,7433,7495,7556,7617,7653,7713,7765,7819,7873,7925,7979,8027,8091,8148,8213,8268,8335,8397,8460,8523,8602,8659,8748,8813,8884,8936,9007,9072,9145,9204,9291,9377,9447,9511,9594,9669,9743,9818,9890,9961,10033,10117,10198,10260,10340,10423,10491,10559,10642,10709,10785,10846,10928,11012,11092,11169,11243,11314,11404,11477,11565,11647,11758,11854,11945,12040,12139,12253,12359,12500,12644,12782,12933,13073,13195,13331,13491,13661,13824,13966,14102,14267,14428,14607,14763,14929,15089,15278,15463,15644,15825,15990,16177,16321,16482,16659,16860,17061,17246,17436,17627,17838,18024,18244,18439,18655,18886,19121,19354,19602,19857,20094,20342,20601,20870,21152,21449,21719,22007,22342,22651,22995,23311,23665,23978,24274,24595,24918,25299,25669,26035,26438,26813,27209,27631,28013,28428,28832,29255,29686,30082,30474,30876,31313,31755,32209,32649,33121,33540,34001,34454,34896,35361,35859,36313,36771,37273,37748,38231,38735,39254,39792,40324,40857,41346,41920,42469,43064,43636,44227,44842,45468,46102,46743,47379,48040,48686,49338,50025,50699,51401,52132,52798,53456,54169,54893,55606,56372,57073,57870,58570,59351,60156,60969,61692,62488,63317,64136,64985,65864,66774,67679,68584,69482,70326,71295,72216,73159,74214,75198,76209,77260,78311,79339,80445,81566,82691,83763,84879,85978,87121,88298,89484,90663,91887,93151,94293,95529,96781,98053,99388,100741,102110,103586,105014,106450,107988,109543,111092,112644,114254,115853,117497,119213,120967,122708,124533,126356,128322,130128,132101,134116,136103,138149,140155,142207,144276,146369,148466,150681,152848,155023,157240,159476,161742,163990,166281,168698,171148,173545,175942,178454,180980,183650,186186,188864,191535,194265,197055,199935,202738,205767,208648,211666,214586,217648,220836,224092,227264,230528,233819,237253,240515
1,1,1,1,2,3,3,4,6,7,8,11,14,14,14,14,14,14,15,18,26,34,37,45,57,62,69,77,92,99,113,116,123,136,142,153,164,171,180,191,198,205,215,224,228,232,240,242,244,249,255,260,264,269,276,279,285,293,298,300,302,305,309,314,316,319,325,330,333,337,342,356,359,364,376,390,396,404,418,428,442,449,464,476,485,495,508,521,532,543,550,560,573,579,592,605,621,633,643,660,666,671,686,700,714,727,739,756,766,781,796,819,834,842,854,869,885,894,906,921,936,947,962,975,994,1008,1025,1039,1059,1079,1101,1142,1173,1198,1211,1235,1261,1288,1325,1363,1400,1442,1476,1503,1522,1557,1589,1622,1657,1700,1733,1763,1792,1817,1855,1881,1921,1965,2005,2043,2079,2115,2162,2200,2241,2295,2361,2413,2472,2527,2575,2631,2694,2731,2802,2857,2900,2971,3024,3074,3136,3182,3239,3289,3339,3402,3459,3502,3567,3615,3677,3742,3785,3854,3905,3956,4022,4064,4128,4197,4275,4349,4416,4482,4551,4618,4694,4785,4859,4939,5005,5086,5170,5244,5324,5395,5474,5573,5659,5734,5795,5856,5941,6003,6068,6137,6207,6276,6345,6416,6497,6564,6650,6728,6825,6917,6996,7084,7164,7250,7335,7424,7522,7639,7736,7842,7929,8023,8109,8213,8303,8403,8478,8569,8671,8762,8867,8945,9034,9120,9211,9304,9406,9511,9611,9713,9812,9906,10002,10102,10215,10329,10429,10566,10699,10837,10982,11135,11255,11406,11535,11679,11826,11962,12122,12270,12424,12561,12703,12835,12981,13113,13258,13391,13531,13689,13848,13984,14155,14301,14440,14599,14765,14927,15096,15245,15418,15591,15774,15938,16097,16253,16438,16636,16794,16986,17173,17347,17551,17748,17962,18196,18397,18650,18890,19124,19359,19576,19817,20076,20342,20613,20863,21153,21434,21708,21969,22231,22529,22817,23134,23473,23797,24115,24464,24767,25099,25450,25766,26100,26488,26855,27214,27608,28010,28410,28789,29219,29636,30043,30487,30939,31372,31817,32289,32778,33282,33766,34297,34800,35277,35735,36242,36728,37232,37773,38333,38883,39458,39994,40577,41202,41784,42413,43067,43699,44293,44948,45585,46239,46876,47479,48145,48800,49511,50206,50916,51671,52412,53135,53849,54560,55306,56083,56857,57668,58432,59256,60101,60895,61720,62578,63421,64245,65123,66020,66942,67871,68818,69772,70766,71738,72701,73762,74776,75817,76860,77929,79038,80163,81322,82510,83745,84893,86035,87238,88423,89633,90939,92137,93370,94661,95918,97268,98613,100011,101402,102824,104193,105689,107099,108538,110029,111465,113015,114566,116160,117769,119331,120892,122473,124158,125834,127568,129377,131199,133131,135073,136948,138898,140817,142793,144745,146774,148895,150988,153110,155189,157326,159465,161659,163851,166029,168175,170481,172764,175011,177267,179653,182057,184474,186966,189461,192027,194618,197271,199985
1,1,2,2,2,4,8,14,18,20,21,25,33,34,43,47,50,56,66,71,76,87,95,109,120,128,133,143,148,155,165,173,181,186,198,203,208,212,228,236,243,255,268,276,285,294,302,311,326,329,346,350,364,372,384,392,402,416,427,433,446,452,462,475,486,496,507,521,530,538,547,555,568,581,600,612,628,650,662,676,695,705,715,733,760,778,800,828,851,875,899,930,961,986,1044,1076,1117,1158,1190,1227,1266,1322,1362,1412,1457,1509,1561,1594,1644,1684,1737,1808,1854,1910,1980,2044,2123,2188,2248,2322,2389,2457,2545,2633,2697,2781,2876,2962,3054,3137,3244,3346,3442,3551,3688,3813,3928,4066,4193,4322,4456,4576,4681,4810,4938,5053,5182,5319,5450,5582,5709,5852,6004,6159,6304,6467,6615,6793,6937,7102,7264,7442,7606,7792,7953,8118,8285,8472,8660,8830,9042,9223,9403,9589,9769,9961,10143,10308,10524,10727,10901,11093,11292,11479,11649,11851,12052,12260,12477,12682,12893,13137,13357,13601,13847,14084,14324,14554,14793,15036,15289,15534,15824,16108,16408,16681,16963,17265,17563,17861,18173,18482,18806,19114,19474,19816,20203,20567,20927,21299,21743,22120,22569,23013,23447,23911,24383,24843,25330,25823,26357,26916,27477,28024,28589,29179,29746,30372,31083,31672,32383,33068,33756,34477,35184,35945,36627,37368,38092,38855,39582,40374,41150,41966,42783,43599,44446,45293,46087,46933,47890,48814,49651,50590,51463,52350,53293,54262,55201,56209,57307,58382,59519,60623,61814,62981,64193,65492,66783,68047,69334,70607,71942,73298,74661,76042,77532,78970,80489,82019,83594,85136,86714,88320,89942,91656,93385,95140,96886,98675,100527,102359,104277,106191,108095,110010,111978,113949,115928,118017,120070,122227,124432,126572,128762,131028,133326,135723,138235,140653,143015,145364,147795,150352,152963,155518,158123,160878,163585,166314,169261,172100,175067,178053,181198,184379,187466,190626,193929,197201,200585,203889,207270,210699,214061,217485,221007,224489,228110,231604,235203,238884,242600,246321,250185,254051,257943,261939,265908,270006,273960,278132,282321,286462,290785,295257,299642,304217,308875,313579,318226,323137,327942,332936,337964,342923,347950,353049,358281,363644,369130,374618,380238,385822,391427,397242,403058,409063,415126,421238,427335,433467,439769,446119,452616,459290,466071,473006,479772,486847,493940,500981,508123,515471,522738,530165,537911,545568,553460,561608,569793,578045,586157,594347,602787,611476,620268,628983,637910,647011,656119,665249,674665,684243,693731,703598,713289,723170,733370,743498,753795,764388,774965,785630,796413,807358,818372,829476,840793,852420,864030,875812,887838,899985,912262,924678,937364,950052,962922,976074,989267,1002845,1016398,1030161,1043948,1057995,1072173,1086385,1100764,1115452,1130117,1145173,1160163,1175253,1190420,1205782,1221541,1237490,1253647,1269719,1285936,1302345,1319213,1336172,1353043,1370132,1387613,1404969,1422849,1440815,1458888,1477185,1495410,1514041,1532917,1551636,1570863,1590247,1609403,1628943,1648517,1668580,1688661,1709275,1729930,1750521,1771298
1,1,1,1,1,1,5,5,7,8,10,14,18,24,25,29,36,40,44,50,52,59,66,68,76,76,84,92,97,100,109,117,126,138,150,157,162,168,176,183,197,203,213,217,227,234,236,245,253,265,274,283,285,291,302,309,314,322,328,347,355,364,379,388,402,408,418,432,444,458,468,479,488,499,522,534,546,552,567,582,594,604,614,627,645,664,683,696,712,734,745,777,801,829,867,892,918,947,975,1006,1040,1074,1106,1132,1151,1183,1218,1248,1274,1297,1334,1364,1386,1411,1442,1462,1489,1514,1535,1559,1595,1618,1645,1672,1700,1725,1758,1789,1820,1844,1886,1917,1951,1990,2021,2064,2101,2132,2171,2208,2252,2291,2345,2389,2431,2469,2507,2546,2582,2629,2674,2730,2767,2818,2860,2895,2942,2984,3032,3086,3139,3184,3232,3286,3346,3395,3444,3502,3562,3638,3697,3765,3830,3906,3980,4045,4115,4199,4295,4405,4491,4589,4664,4744,4825,4916,4997,5089,5181,5285,5377,5469,5575,5664,5771,5873,5971,6079,6197,6302,6396,6493,6581,6689,6817,6913,7021,7134,7241,7362,7477,7580,7686,7804,7944,8074,8200,8341,8464,8612,8758,8900,9036,9183,9309,9455,9609,9751,9920,10078,10248,10406,10579,10741,10912,11084,11291,11466,11624,11786,11961,12114,12296,12485,12676,12860,13051,13250,13445,13635,13838,14054,14258,14444,14626,14820,15049,15230,15434,15630,15823,16000,16211,16406,16615,16805,17045,17261,17485,17688,17918,18138,18358,18581,18811,19055,19257,19503,19748,19998,20241,20474,20742,21011,21257,21509,21788,22060,22383,22719,23026,23303,23633,23961,24287,24617,24943,25306,25657,26017,26348,26674,27018,27390,27759,28108,28451,28815,29179,29511,29889,30275,30668,31057,31442,31822,32242,32638,33078,33525,33977,34433,34886,35357,35769,36246,36718,37214,37698,38201,38735,39251,39781,40402,40948,41561,42127,42716,43282,43885,44485,45125,45760,46355,46991,47584,48224,48851,49462,50148,50865,51580,52327,53032,53765,54506,55272,56070,56844,57588,58345,59194,60092,60968,61840,62728,63611,64462,65406,66348,67325,68267,69255,70240,71226,72276,73300,74313,75348,76396,77394,78437,79487,80540,81559,82606,83688,84785,85867,86963,88136,89239,90362,91498,92670,93832,95042,96261,97503,98685,99904,101203,102455,103764,105092,106444,107833,109174,110539,111930,113328,114729,116229,117647,119180,120652,122175,123737,125342,126980,128604,130256,131913,133605,135386,137163,138865,140637,142485,144361,146214,148055,150051,151944,153940,155908,157953,160010,162135,164310,166531,168713,170977,173242,175593,177949,180379,182709,185267,187735,190317,192890,195605,198382,201178,203997,206779,209615,212527,215566,218688,221897,225093,228246,231513,234804,238180,241594,245068,248552,251999,255405,258961,262562,266242,269990,273791,277619,281590,285398,289460,293412,297358,301545,305771,310029,314307,318727,323171,327854,332487,337221,342057,346911,351958,356751,361682
1,1,1,1,1,1,1,1,3,4,5,7,8,9,12,14,19,22,27,33,40,45,52,56,60,74,86,97,109,119,137,156,165,184,207,219,238,259,284,309,326,342,366,384,414,443,472,504,526,551,580,616,653,678,714,736,765,795,830,858,892,924,955,991,1030,1064,1094,1127,1153,1173,1217,1264,1307,1351,1383,1427,1477,1511,1542,1573,1613,1658,1697,1734,1774,1807,1847,1885,1918,1953,1998,2039,2083,2126,2188,2238,2290,2344,2386,2445,2502,2551,2592,2642,2703,2760,2811,2870,2927,2997,3071,3146,3220,3290,3373,3435,3513,3589,3673,3752,3838,3922,3998,4083,4163,4241,4346,4448,4558,4661,4754,4860,4968,5093,5205,5318,5450,5576,5704,5819,5953,6112,6241,6374,6515,6668,6818,6996,7166,7323,7474,7674,7853,8032,8211,8411,8611,8805,9011,9229,9443,9644,9908,10144,10380,10636,10876,11126,11373,11635,11903,12197,12472,12735,13042,13326,13659,13954,14278,14566,14866,15193,15499,15816,16153,16507,16855,17228,17592,17974,18350,18785,19190,19619,20076,20537,20959,21436,21918,22350,22813,23292,23762,24189,24663,25168,25682,26203,26719,27230,27733,28211,28756,29324,29858,30392,30899,31437,31987,32573,33138,33720,34304,34884,35480,36059,36647,37279,37949,38572,39175,39858,40520,41211,41924,42606,43315,44055,44769,45482,46244,46964,47718,48502,49268,50075,50889,51702,52501,53312,54143,54982,55799,56637,57463,58275,59090,59974,60874,61802,62664,63607,64549,65469,66412,67333,68294,69278,70265,71315,72401,73465,74534,75618,76744,77924,79088,80311,81480,82666,83903,85146,86527,87872,89255,90604,91985,93431,94800,96181,97594,99072,100590,102143,103621,105273,106959,108601,110309,112015,113767,115525,117372,119199,121059,122972,124984,127026,129014,131054,133163,135228,137403,139678,141979,144334,146552,148867,151269,153755,156202,158702,161152,163780,166395,168937,171523,174180,176923,179719,182554,185350,188238,191092,194056,197086,200022,203141,206162,209203,212482,215765,218985,222400,225799,229174,232620,236131,239659,243232,246807,250562,254370,258134,261923,265752,269554,273574,277676,281730,285867,290112,294372,298683,303027,307380,311696,316277,320721,325303,329971,334757,339484,344372,349250,354168,359350,364542,369801,375317,380724,386332,391678,397341,403090,408819,414631,420602,426684,432801,438931,445019,451191,457615,464051,470568,477066,483818,490663,497489,504418,511321,518489,525521,532852,540114,547677,555147,562669,570391,578205,586175,594324,602646,610842,619078,627512,636103,644737,653636,662493,671468,680638,689938,699601,709234,718797,728415,738396,748405,758462,768707,779040,789595,800251,811063,822039,833201,844711,856163,867847,879558,891374,903565,915521,928134,940651,953443,966101,978923,992222,1005394,1018852,1032372,1046046,1059925,1073989,1088093,1102328,1116687,1131365,1146331,1161319,1176419,1191559,1207005,1222575,1238376,1254463,1270610,1287015,1303669,1320351,1337166,1354199,1371444,1388756,1406465,1424037,1442004,1460210,1478777,1497192,1515861,1534980,1554112,1573415,1593117,1612598,1632498,1652416,1672801,1693125,1713537,1734184,1755372,1776279
1,1,3,11,17,23,28,34,37,43,49,57,64,73,86,100,108,125,141,155,167,191,215,232,252,270,291,308,329,348,364,386,400,424,447,478,513,539,570,592,623,651,671,703,751,776,807,848,880,930,967,993,1045,1089,1128,1182,1245,1298,1354,1395,1450,1500,1563,1616,1679,1726,1775,1831,1920,1997,2065,2134,2195,2260,2314,2378,2439,2499,2572,2639,2708,2756,2827,2887,2945,3019,3085,3147,3211,3286,3362,3432,3498,3572,3651,3718,3789,3870,3962,4036,4124,4221,4314,4399,4504,4605,4688,4807,4917,5010,5118,5221,5338,5437,5544,5665,5786,5888,6012,6154,6286,6423,6547,6684,6830,6957,7088,7205,7339,7480,7602,7758,7903,8061,8189,8361,8535,8709,8882,9036,9206,9389,9565,9756,9946,10155,10339,10515,10709,10910,11127,11364,11599,11803,12047,12276,12489,12710,12928,13151,13367,13593,13846,14111,14360,14619,14853,15110,15371,15637,15885,16155,16450,16744,17019,17298,17579,17903,18194,18501,18813,19116,19412,19746,20073,20400,20740,21073,21408,21786,22152,22538,22893,23246,23612,23975,24375,24789,25158,25501,25887,26284,26670,27023,27436,27824,28250,28614,29002,29427,29868,30290,30733,31184,31554,31976,32414,32835,33272,33725,34165,34645,35153,35647,36118,36626,37138,37670,38153,38642,39169,39687,40206,40771,41316,41869,42466,43016,43612,44192,44822,45442,46087,46777,47411,48087,48769,49412,50094,50799,51515,52224,52947,53727,54596,55412,56245,57095,57992,58810,59710,60633,61509,62381,63300,64279,65331,66261,67255,68253,69257,70287,71409,72514,73627,74746,75917,77067,78248,79405,80657,81899,83140,84403,85654,86981,88322,89698,91070,92469,93922,95354,96799,98237,99701,101280,102799,104397,106036,107696,109265,110919,112601,114445,116194,117993,119855,121756,123720,125645,127681,129701,131722,133836,136016,138152,140352,142583,144857,147138,149491,151876,154297,156736,159255,161725,164232,166829,169497,172114,174807,177573,180243,183027,185769,188617,191592,194573,197536,200521,203729,206936,210090,213294,216631,219880,223251,226732,230207,233700,237271,241010,244692,248468,252451,256288,260212,264223,268393,272586,276770,280968,285247,289722,294240,298703,303146,307931,312657,317323,322170,326895,331774,336766,341705,346697,351694,356926,362260,367633,373129,378678,384187,389959,395721,401523,407461,413427,419554,425689,431898,438243,444698,451170,457795,464657,471437,478297,485235,492296,499425,506587,513844,521286,528822,536456,544086,552048,560184,568326,576261,584401,592579,601254,610042,618705,627502,636322,645303,654380,663550,672931,682281,691721,701219,711142,720864,730900,740925,751167,761683,771859,782483,793183,803778,814437,825516,836790,848049,859528,871288,882816,894710,906688,918896,931307,943890,956538,969383,982246,995345,1008766,1022054,1035543,1049345,1063205,1077033,1091094,1105378,1119847,1134583,1149350,1164337,1179392,1194735,1209932,1225440,1240939,1257116,1273031,1289355,1305764,1322413,1338930,1355917,1373136,1390384,1407699,1425197,1442966,1460706,1478939,1497266,1515709,1534357,1553150,1572193,1591400,1610713,1630323,1650223,1670198,1690400,1710737,1731712,1752537,1773333
1,1,1,1,1,2,2,3,5,6,8,8,9,10,11,12,15,20,23,30,31,33,37,52,61,65,76,83,92,100,115,127,138,148,162,172,177,195,206,214,219,223,233,238,247,256,269,280,292,305,315,330,345,362,373,384,402,415,425,448,467,485,505,521,542,568,593,606,624,648,673,697,725,756,779,805,835,851,886,919,944,959,975,997,1019,1041,1054,1067,1081,1101,1122,1141,1153,1166,1182,1191,1206,1215,1231,1240,1254,1266,1273,1287,1302,1314,1327,1346,1362,1375,1390,1404,1419,1441,1459,1476,1488,1503,1512,1528,1539,1559,1586,1603,1619,1635,1659,1668,1687,1716,1730,1748,1769,1782,1791,1812,1837,1861,1877,1907,1933,1951,1977,1994,2017,2044,2067,2092,2112,2125,2142,2165,2194,2216,2246,2270,2301,2337,2368,2399,2429,2466,2492,2528,2558,2600,2626,2659,2693,2730,2760,2787,2815,2861,2895,2928,2962,2985,3009,3038,3073,3105,3139,3163,3195,3236,3265,3304,3330,3365,3409,3451,3492,3544,3603,3648,3687,3731,3782,3837,3886,3930,3978,4017,4066,4109,4159,4211,4264,4331,4372,4430,4478,4536,4601,4652,4704,4769,4830,4887,4942,5009,5070,5124,5189,5251,5313,5395,5454,5544,5622,5716,5783,5842,5936,6011,6100,6194,6277,6364,6448,6529,6629,6719,6825,6925,7032,7135,7235,7318,7416,7496,7604,7699,7793,7900,7991,8106,8222,8333,8455,8593,8707,8813,8934,9044,9163,9283,9409,9534,9657,9767,9895,10018,10142,10261,10381,10521,10642,10777,10894,11006,11118,11235,11345,11461,11566,11675,11795,11908,12025,12131,12237,12357,12469,12591,12688,12801,12908,13017,13139,13258,13370,13467,13573,13697,13814,13924,14034,14137,14266,14380,14484,14614,14753,14862,14976,15107,15235,15367,15490,15621,15743,15871,15987,16119,16242,16383,16539,16661,16790,16925,17059,17200,17375,17523,17648,17792,17938,18069,18201,18335,18474,18611,18772,18931,19079,19235,19391,19551,19732,19930,20095,20260,20442,20645,20858,21073,21279,21498,21682,21885,22123,22322,22554,22797,23002,23222,23456,23680,23955,24188,24464,24726,25010,25266,25552,25842,26128,26430,26758,27022,27312,27626,27956,28329,28682,29034,29420,29772,30151,30553,30944,31374,31792,32236,32634,33049,33458,33879,34320,34779,35224,35683,36169,36614,37096,37574,38029,38511,38990,39491,39959,40488,40957,41524,42026,42555,43096,43670,44238,44804,45424,46001,46554,47170,47826,48462,49055,49687,50362,51042,51686,52385,53054,53704,54333,54980,55647,56327,57015,57733,58494,59191,59925,60654,61430,62222,63008,63801,64564,65314,66099,66965,67759,68614,69442,70283,71138,72055,72941,73801,74602,75559,76492,77337,78266,79242,80265,81256,82270,83236,84294,85332,86377,87389,88417,89454,90543,91617,92697,93813,94918,96057,97100,98238,99310,100450,101643,102778,103983,105190,106475,107717,108946,110219,111554
1,1,1,3,3,5,5,5,8,13,16,19,22,25,29,31,32,37,43,46,48,49,54,62,74,81,87,89,100,115,119,124,134,144,156,169,180,184,203,225,241,255,277,298,326,349,370,393,418,434,449,479,505,535,551,576,601,634,661,685,723,751,785,815,860,899,946,988,1029,1074,1112,1149,1188,1230,1269,1323,1364,1405,1449,1496,1556,1619,1674,1729,1780,1844,1913,1979,2058,2140,2214,2303,2391,2475,2570,2658,2764,2851,2956,3074,3187,3316,3412,3526,3639,3754,3880,3986,4109,4253,4380,4518,4632,4761,4910,5057,5197,5348,5486,5637,5789,5952,6105,6251,6403,6565,6735,6890,7051,7227,7386,7551,7745,7899,8055,8244,8407,8602,8803,9001,9185,9361,9536,9722,9899,10094,10315,10516,10781,11009,11240,11450,11709,11950,12182,12430,12693,12959,13223,13465,13734,13981,14270,14562,14832,15098,15383,15657,15953,16237,16519,16846,17126,17430,17705,18032,18340,18692,18999,19327,19683,20013,20368,20724,21073,21428,21792,22148,22497,22863,23245,23651,24071,24455,24859,25267,25689,26086,26475,26939,27358,27791,28242,28698,29148,29598,30036,30476,30908,31392,31867,32337,32871,33368,33883,34382,34939,35461,36035,36531,37079,37609,38169,38715,39308,39885,40458,41038,41623,42207,42831,43416,44026,44650,45286,45877,46466,47104,47722,48370,48966,49591,50214,50793,51467,52105,52781,53416,54080,54744,55436,56133,56893,57603,58377,59141,59905,60734,61558,62361,63221,64028,64882,65793,66623,67565,68424,69329,70268,71245,72177,73152,74133,75164,76190,77221,78263,79307,80366,81464,82508,83555,84658,85788,86982,88204,89402,90532,91651,92847,94087,95337,96605,97955,99267,100634,101933,103307,104657,106059,107523,108982,110463,111977,113567,115127,116775,118352,120037,121633,123310,125042,126721,128424,130230,132035,133861,135778,137698,139615,141503,143504,145518,147494,149511,151590,153684,155766,157964,160093,162337,164650,166850,169096,171455,173755,176140,178557,181044,183649,186206,188870,191533,194270,196949,199646,202421,205189,207990,210792,213707,216598,219624,222594,225717,228850,232131,235368,238768,242074,245549,249005,252437,256122,259734,263401,266912,270664,274450,278250,282211,286203,290285,294385,298481,302733,307105,311551,316320,320891,325571,330294,335215,340173,345187,350244,355511,360715,366029,371385,376919,382576,388114,393740,399489,405383,411284,417333,423249,429444,435642,441793,448205,454742,461362,468024,474740,481451,488250,495186,501959,509070,516218,523456,530699,538001,545372,553015,560674,568197,576048,584122,592264,600379,608619,617073,625702,634245,643085,651980,661216,670347,679485,688848,698454,707991,717945,727898,738006,748306,758716,769227,779985,790606,801607,812763,823996,835290,847072,858669,870328,882426,894666,907019,919473,932201,944901,958190,971282,984505,998035,1011515,1025338,1039357,1053290,1067526,1081800,1096328,1111074,1125725,1140574,1155483,1170777,1186159,1201827,1217861,1233656,1249692,1265983,1282353,1299208,1316014,1333160,1350198,1367544,1384983,1402506,1420371,1438109,1455993,1474099,1492756,1511355,1530045,1549281,1568611,1587787
1,1,2,2,2,3,6,8,10,10,10,10,10,14,16,20,21,21,25,27,29,31,34,35,40,43,45,48,48,52,56,63,70,84,91,106,117,126,137,145,150,159,168,179,191,203,210,222,237,251,266,277,287,299,309,319,334,345,360,384,410,424,447,468,492,514,545,566,589,612,651,676,709,740,774,808,842,882,923,960,987,1023,1063,1099,1122,1161,1188,1222,1245,1278,1306,1339,1369,1403,1429,1454,1490,1523,1563,1604,1635,1672,1707,1748,1793,1833,1888,1936,1984,2019,2057,2133,2191,2245,2296,2356,2410,2478,2540,2610,2666,2753,2811,2887,2970,3056,3132,3221,3294,3381,3474,3576,3654,3748,3829,3922,4006,4083,4191,4275,4347,4443,4533,4638,4743,4846,4957,5065,5162,5271,5380,5510,5627,5759,5878,6016,6136,6281,6409,6534,6664,6800,6960,7099,7213,7347,7476,7606,7747,7901,8043,8191,8334,8480,8608,8752,8915,9077,9236,9406,9559,9734,9912,10102,10285,10437,10626,10793,11019,11192,11382,11587,11809,12004,12210,12412,12630,12874,13108,13362,13628,13879,14137,14400,14631,14916,15191,15469,15766,16081,16373,16642,16967,17251,17574,17863,18164,18452,18717,19030,19298,19604,19896,20176,20463,20783,21073,21412,21681,21978,22301,22609,22925,23211,23515,23820,24140,24435,24756,25106,25451,25786,26133,26469,26809,27165,27528,27898,28234,28616,28991,29399,29813,30226,30621,31026,31481,31946,32392,32816,33293,33744,34184,34666,35129,35608,36125,36604,37096,37622,38168,38704,39235,39750,40283,40836,41396,41906,42429,42986,43537,44126,44724,45296,45890,46474,47065,47678,48317,49008,49665,50283,50920,51546,52224,52931,53624,54297,55035,55830,56589,57456,58313,59173,60028,60854,61702,62574,63468,64382,65331,66264,67248,68290,69348,70385,71441,72498,73592,74689,75874,77002,78106,79294,80441,81622,82863,84020,85308,86632,87901,89206,90587,91935,93328,94761,96236,97674,99181,100623,102207,103806,105333,106950,108677,110287,111939,113609,115274,116975,118759,120535,122412,124259,126182,128071,130074,132067,134077,136073,138193,140276,142423,144617,146816,149048,151219,153499,155744,158094,160452,162854,165318,167730,170241,172809,175408,177959,180526,183173,185854,188615,191274,194143,196913,199697,202503,205408,208339,211341,214351,217485,220655,223758,226996,230186,233432,236746,240124,243580,246977,250546,254178,257771,261529,265276,269137,273037,276945,280936,285075,289260,293370,297557,301925,306321,310750,315178,319769,324372,329018,333777,338435,343399,348200,353211,358193,363354,368414,373518,378777,383925,389271,394663,400046,405569,411165,416962,422714,428541,434354,440227,446366,452425,458766,465030,471466,477961,484627,491292,498078,504978,512009,518953,526216,533582,541035,548562,556259,563898,571703,579609,587655,595748,603893,612191,620523,628911,637648,646304,655020,663847,672641,681670,690865,700150,709618,719193,728893,738758,748728,758724,768902,779066,789400,799971,810696,821386,832368,843523,854900,866298,877711,889388,901301,913359,925561
1,1,1,1,1,1,4,5,6,6,8,8,11,12,14,15,15,17,19,21,25,28,38,45,56,63,69,78,90,93,103,112,126,139,145,155,164,173,180,194,209,214,215,222,231,234,243,248,258,263,269,282,297,304,315,325,340,352,363,378,387,406,423,453,476,497,519,537,557,587,616,642,665,694,720,754,785,809,832,857,880,905,928,958,999,1036,1070,1098,1122,1138,1164,1190,1220,1247,1274,1299,1331,1362,1383,1426,1459,1492,1517,1558,1594,1634,1669,1707,1756,1795,1837,1875,1921,1962,2009,2044,2082,2136,2180,2217,2272,2316,2372,2425,2473,2525,2575,2624,2677,2727,2775,2845,2894,2955,3006,3061,3117,3183,3248,3299,3358,3419,3477,3545,3591,3652,3715,3781,3835,3880,3943,4014,4087,4160,4223,4299,4379,4454,4508,4578,4664,4741,4817,4909,5009,5070,5147,5239,5312,5415,5508,5591,5685,5764,5853,5961,6055,6165,6262,6363,6464,6583,6684,6801,6916,7041,7155,7291,7434,7551,7673,7806,7945,8068,8196,8328,8440,8581,8714,8865,9003,9131,9271,9396,9548,9716,9866,10018,10161,10289,10436,10572,10713,10896,11078,11243,11397,11541,11699,11828,11994,12156,12317,12473,12638,12813,12993,13186,13374,13555,13753,13947,14145,14341,14548,14750,14950,15184,15395,15632,15897,16129,16378,16624,16886,17155,17420,17667,17952,18224,18559,18892,19182,19475,19772,20087,20388,20676,21028,21361,21688,22048,22356,22691,23049,23421,23746,24100,24463,24871,25225,25578,25963,26352,26719,27121,27566,27991,28416,28851,29263,29714,30167,30635,31150,31624,32127,32650,33184,33713,34209,34734,35230,35787,36350,36906,37500,38110,38690,39293,39922,40559,41191,41771,42398,43034,43658,44349,45029,45712,46466,47182,47918,48622,49365,50158,50913,51668,52405,53211,54010,54834,55646,56543,57421,58268,59159,60077,60991,61923,62830,63845,64844,65871,66862,67885,68993,70040,71149,72262,73387,74476,75587,76780,78067,79274,80538,81835,83142,84430,85793,87086,88351,89714,91124,92464,93886,95238,96704,98190,99664,101188,102668,104166,105788,107350,108936,110571,112279,113946,115644,117369,119136,120837,122560,124257,126045,127836,129748,131658,133651,135526,137573,139605,141700,143779,145938,148193,150497,152827,155135,157529,160002,162490,165011,167662,170375,172928,175656,178223,181045,183859,186735,189678,192612,195667,198611,201610,204800,207963,211172,214416,217761,221043,224363,227796,231285,234793,238372,242038,245702,249387,253172,257058,260933,264883,268793,272792,276857,280902,285045,289298,293649,297917,302116,306420,310931,315405,319957,324626,329272,333963,338762,343687,348584,353686,358761,363998,369191,374363,379784,385253,390713,396383,402004,407774,413609,419600,425592,431492,437522,443774,450103,456496,462928,469355,475922,482482,489163,495996,503074,510055,517284,524460,531694,539127,546483,553919,561480,569127,576884,584937,592799,601044,609248,617434,625760,634285,642713,651298,660074,669015,678004,686994,696184,705570,715048
1,1,1,1,1,1,3,5,5,6,6,6,7,9,10,12,17,22,25,32,37,39,40,47,52,56,64,70,80,85,96,104,112,116,124,132,138,143,150,160,168,181,190,198,208,212,220,224,230,236,246,261,275,278,284,289,294,299,310,316,331,351,363,375,390,407,426,451,473,500,527,553,567,590,622,660,690,720,748,779,816,847,877,921,948,976,997,1023,1055,1084,1112,1147,1177,1204,1238,1266,1297,1329,1356,1391,1423,1459,1497,1529,1571,1613,1650,1696,1728,1766,1810,1843,1898,1950,1994,2035,2076,2127,2181,2227,2289,2346,2393,2459,2514,2582,2655,2719,2796,2858,2931,3003,3063,3118,3182,3250,3314,3399,3473,3537,3608,3679,3731,3819,3914,3996,4071,4139,4217,4298,4377,4455,4526,4603,4672,4755,4831,4911,5005,5107,5213,5298,5394,5484,5587,5672,5766,5862,5959,6047,6164,6252,6372,6499,6615,6721,6833,6951,7047,7180,7282,7397,7493,7599,7711,7828,7927,8017,8135,8242,8346,8458,8555,8675,8793,8912,9033,9157,9275,9407,9506,9629,9757,9879,10011,10142,10278,10388,10511,10628,10753,10894,11016,11155,11308,11457,11597,11738,11870,12005,12172,12321,12466,12598,12748,12904,13067,13207,13355,13512,13629,13790,13966,14118,14289,14434,14585,14741,14889,15059,15223,15412,15560,15709,15897,16077,16276,16463,16650,16814,16977,17167,17357,17533,17707,17903,18114,18352,18517,18698,18890,19095,19294,19501,19708,19900,20089,20286,20498,20720,20981,21219,21488,21750,22014,22265,22506,22745,23023,23285,23559,23845,24112,24400,24665,24917,25208,25473,25750,26024,26330,26597,26889,27163,27439,27721,27997,28268,28540,28829,29101,29393,29679,29979,30259,30548,30832,31126,31455,31747,32095,32388,32752,33055,33394,33774,34154,34520,34889,35237,35603,35969,36338,36733,37141,37565,37988,38417,38864,39338,39788,40296,40781,41297,41745,42231,42748,43226,43748,44310,44865,45435,45991,46600,47226,47811,48413,49012,49641,50244,50852,51558,52221,52912,53607,54372,55099,55839,56616,57340,58083,58822,59620,60410,61208,62012,62810,63633,64490,65381,66267,67110,68035,68937,69835,70790,71690,72575,73507,74420,75394,76381,77373,78342,79342,80292,81283,82226,83283,84303,85356,86449,87601,88650,89738,90795,91927,93036,94194,95390,96617,97873,99115,100385,101662,102937,104283,105649,107078,108493,109869,111333,112837,114307,115939,117482,119155,120703,122362,123963,125671,127357,129053,130798,132609,134449,136245,138236,140132,142121,144174,146266,148325,150524,152699,154933,157190,159550,161897,164229,166608,169135,171625,174161,176822,179491,182264,184950,187816,190586,193440,196403,199398,202395,205342,208384,211565,214866,218104,221414,224716,228068,231512,234927,238460,242054,245565,249082,252819,256508,260353,264189,268059,272074,276016,279886,283929,287970,292146,296363,300612,304828,309262,313807,318342,323086,327647,332260,336986,341874,346910,351864,356746,361715,366777,371827,376984
1,1,2,5,5,7,7,7,8,13,14,16,22,23,26,28,32,41,53,65,71,85,91,99,108,121,127,133,147,160,170,191,215,227,239,258,274,293,305,326,344,365,385,402,420,435,450,473,499,519,537,560,578,600,620,645,675,705,740,781,812,842,880,916,953,995,1049,1118,1167,1238,1301,1365,1424,1485,1548,1596,1657,1725,1796,1861,1926,1996,2079,2141,2197,2243,2297,2346,2413,2475,2527,2581,2634,2690,2731,2784,2849,2900,2961,3031,3076,3134,3189,3238,3301,3358,3437,3503,3565,3613,3680,3750,3821,3894,3976,4063,4141,4219,4297,4391,4487,4567,4668,4752,4844,4937,5029,5127,5236,5374,5480,5599,5715,5846,5962,6086,6199,6337,6457,6578,6706,6826,6945,7086,7245,7402,7528,7670,7817,7963,8106,8261,8406,8544,8701,8865,9030,9225,9372,9563,9748,9906,10081,10254,10424,10579,10780,10978,11193,11373,11568,11776,11993,12210,12390,12614,12851,13060,13269,13469,13714,13958,14194,14456,14728,15000,15261,15523,15776,16083,16352,16618,16863,17167,17448,17733,18055,18350,18647,18979,19295,19607,19911,20212,20539,20867,21178,21493,21827,22193,22545,22885,23249,23628,23977,24343,24727,25062,25448,25865,26300,26688,27103,27510,27970,28408,28853,29291,29759,30233,30721,31162,31609,32101,32563,33063,33532,34028,34536,35042,35541,36023,36525,37071,37594,38150,38739,39295,39889,40482,41101,41687,42292,42934,43612,44260,44952,45655,46337,46999,47716,48416,49133,49871,50615,51391,52160,52977,53786,54595,55401,56208,57031,57847,58721,59572,60423,61317,62246,63151,64060,64958,65884,66821,67783,68757,69721,70738,71792,72792,73829,74919,76055,77151,78310,79549,80782,82038,83281,84636,86018,87364,88803,90252,91832,93346,94951,96493,98050,99689,101399,103077,104756,106443,108145,109859,111658,113451,115244,117090,118810,120721,122677,124521,126424,128381,130439,132426,134448,136520,138633,140745,142851,144978,147087,149282,151531,153816,156140,158541,160920,163332,165779,168370,170880,173436,176122,178764,181493,184239,187135,190004,192982,195989,198928,201941,204936,207954,211143,214405,217729,221086,224385,227710,231152,234576,238150,241627,245158,248797,252541,256387,260327,264261,268346,272370,276395,280402,284504,288669,292911,297301,301587,305955,310487,315017,319545,324146,328782,333257,338050,342780,347619,352678,357610,362617,367740,372911,378358,383738,389176,394591,400156,405707,411342,417180,422901,428908,434830,440960,447188,453527,459922,466352,473021,479703,486523,493273,500110,507005,513928,521287,528498,535747,543123,550665,558301,565981,573685,581752,589813,597926,606013,614210,622492,631015,639511,648066,656774,665794,674784,683791,692916,702248,711673,721405,731187,741091,751130,761240,771439,781814,792108,802780,813460,824449,835769,846966,858290,869629,881216,892926,904778,917005,929349,941624,954053,966687,979420,992480,1005558,1018760,1032316,1046079,1059734,1073451,1087474,1101599,1115713,1130254,1144786,1159386,1174073,1189056,1204392,1219529,1234753,1250271,1265784,1281591,1297684,1313865,1330180,1346702,1363187,1379994,1397236
1,1,1,1,1,1,1,4,5,7,7,9,11,13,15,16,25,30,42,49,58,64,68,73,82,92,98,112,120,131,143,155,172,191,206,221,243,261,278,288,306,330,350,368,387,413,430,444,469,490,514,531,553,576,603,635,669,713,744,778,806,855,896,935,958,987,1033,1077,1117,1156,1198,1233,1274,1315,1358,1402,1447,1510,1559,1621,1680,1735,1786,1831,1892,1944,1991,2045,2103,2159,2205,2265,2336,2412,2470,2539,2615,2671,2742,2813,2887,2958,3035,3103,3182,3260,3337,3419,3519,3623,3731,3832,3941,4073,4174,4302,4423,4538,4659,4782,4906,5050,5182,5314,5451,5593,5729,5883,6026,6201,6335,6504,6662,6812,6969,7151,7321,7500,7685,7871,8061,8238,8430,8599,8772,8983,9162,9355,9561,9779,10002,10214,10434,10668,10850,11084,11311,11512,11717,11919,12128,12344,12594,12823,13087,13347,13581,13818,14049,14313,14546,14814,15063,15335,15605,15878,16143,16438,16714,16992,17316,17642,17931,18297,18660,18993,19341,19700,20033,20456,20857,21272,21661,22057,22423,22884,23378,23854,24329,24862,25362,25870,26403,26955,27483,28088,28656,29298,29852,30499,31089,31737,32372,33006,33734,34396,35145,35866,36585,37314,38028,38789,39578,40377,41134,41971,42842,43691,44471,45289,46180,47091,47935,48878,49837,50807,51795,52882,53829,54875,55899,56932,57974,59052,60156,61353,62522,63668,64901,66134,67305,68500,69709,70921,72200,73508,74863,76243,77614,79016,80392,81915,83406,84983,86478,87960,89511,91129,92654,94257,95843,97457,99127,100786,102481,104152,105856,107564,109284,111046,112839,114627,116469,118279,120197,122214,124203,126139,128139,130278,132435,134555,136731,138973,141216,143464,145738,148078,150504,152902,155343,157797,160451,163120,165785,168384,171092,173751,176510,179364,182218,185258,188235,191237,194310,197401,200613,203971,207419,210748,214096,217609,221239,224855,228349,231967,235693,239376,243188,246966,250792,254728,258636,262786,266896,271031,275212,279346,283560,287820,292218,296604,301231,305690,310200,314778,319510,324256,329032,333908,338734,343715,348670,353836,359079,364178,369375,374674,380171,385536,391033,396621,402316,407909,413807,419789,425656,431649,437845,443839,450189,456485,462884,469424,475944,482563,489289,496035,503110,510163,517242,524382,531769,539302,546879,554363,562217,570106,578111,586434,594568,602942,611381,619813,628219,637190,646136,655084,664059,673402,682737,692228,701694,711312,721031,730759,740799,750941,761127,771719,782214,792828,803559,814537,825576,836695,848015,859397,870912,882632,894537,906516,918790,931130,943715,956326,969177,982211,995380,1008695,1022154,1035582,1049280,1062945,1076845,1090798,1104945,1119237,1133670,1148055,1162828,1177600,1192343,1207175,1222619,1238213,1253853,1269530,1285416,1301627,1317945,1334469,1351105,1367867,1384945,1401978,1419361,1436934,1454631,1472346,1490299,1508687,1527065,1545522,1564264,1583080,1602158,1621446,1640963,1660869,1681039,1701277,1721532,1742144,1762856,1783746,1804846,1826284,1847950,1869403,1891385,1913389,1935678,1958365,1981288,2004320,2027496,2051021,2074476,2098398,2122485,2146993,2171610,2196145,2220916,2246395,2271975
1,1,1,1,4,4,5,9,11,15,18,26,36,45,49,55,63,72,78,83,91,103,110,116,124,133,141,152,161,173,180,187,195,210,219,236,246,255,273,284,293,308,321,338,350,376,393,415,431,445,469,491,515,547,564,599,621,643,671,692,711,729,751,780,811,844,883,912,940,971,994,1029,1072,1104,1139,1175,1218,1260,1301,1332,1360,1402,1444,1483,1524,1573,1610,1650,1684,1719,1758,1798,1826,1855,1897,1932,1965,1995,2034,2069,2103,2150,2200,2236,2263,2301,2347,2380,2414,2467,2515,2551,2604,2652,2698,2749,2797,2843,2895,2943,2992,3042,3120,3192,3272,3347,3412,3496,3564,3646,3720,3795,3888,3983,4091,4185,4275,4387,4503,4595,4696,4818,4957,5077,5205,5354,5494,5627,5760,5882,6017,6140,6262,6389,6525,6666,6784,6915,7047,7172,7338,7474,7622,7760,7903,8048,8207,8372,8529,8675,8847,9025,9189,9377,9532,9726,9898,10093,10296,10510,10739,10932,11145,11380,11618,11864,12115,12381,12648,12906,13155,13407,13688,13966,14291,14577,14864,15160,15496,15806,16095,16449,16781,17160,17514,17888,18240,18623,19015,19400,19842,20266,20713,21152,21623,22067,22463,22902,23348,23825,24308,24827,25308,25857,26387,26954,27509,28039,28594,29137,29682,30286,30868,31499,32139,32724,33369,33978,34634,35289,35942,36611,37253,37974,38683,39384,40102,40799,41525,42277,43001,43749,44508,45239,46057,46887,47695,48556,49392,50211,51092,51959,52866,53813,54740,55755,56764,57835,58829,59844,60835,61880,62949,64025,65120,66219,67370,68476,69605,70749,71896,73044,74141,75390,76594,77864,79080,80364,81636,82843,84071,85327,86585,87885,89277,90525,91867,93213,94609,95935,97422,98906,100349,101829,103389,104927,106508,108146,109815,111518,113295,114978,116665,118498,120340,122254,124090,126016,127929,130017,132027,134047,136191,138308,140453,142580,144672,146901,149108,151389,153646,155959,158283,160704,163086,165448,167887,170286,172654,175183,177581,180140,182715,185336,187929,190534,193098,195705,198313,201055,203827,206509,209367,212432,215365,218335,221346,224507,227729,230918,234297,237599,240956,244372,247866,251401,255055,258761,262521,266278,270006,273751,277530,281387,285256,289038,292963,296920,301002,304980,309116,313350,317577,321747,325915,330231,334522,338890,343224,347645,352152,356714,361315,366035,370743,375537,380303,385099,390057,395021,400063,405074,410286,415576,420839,426265,431626,437093,442594,448284,454031,460027,465954,471862,478061,484145,490255,496522,502875,509373,516116,522860,529692,536505,543464,550525,557492,564645,571716,578868,586143,593580,600996,608695,616386,624074,631900,640012,647923,655986,664078,672374,680538,688984,697506,706209,714864,723667,732664,741743,750882,759932,769412,778866,788511,798401,808066,818198,828359,838589,849064,859629,870368,881091,891969,902939,914098,925497,937119,948745,960466,972218,984219,996575,1008730,1021163,1033815,1046699,1059488,1072424,1085491,1098512,1111901,1125365,1138984,1152709,1166675,1180479,1194533,1209153,1223826,1238524,1253288,1268279,1283611,1299055,1314802
1,1,2,5,7,10,10,11,11,13,13,20,23,25,29,39,43,55,59,65,73,81,97,111,121,132,139,143,151,156,169,178,184,192,208,216,225,239,246,253,262,272,291,303,315,328,337,353,363,371,390,407,424,439,455,471,492,514,535,548,573,593,612,630,649,666,693,711,726,742,762,783,803,825,845,865,887,906,932,958,991,1012,1041,1077,1119,1149,1191,1237,1277,1327,1357,1392,1428,1477,1540,1594,1657,1718,1764,1818,1873,1927,2002,2081,2143,2214,2292,2361,2434,2510,2590,2667,2744,2823,2915,2982,3085,3174,3273,3365,3461,3557,3661,3763,3874,4001,4108,4229,4345,4452,4554,4681,4801,4925,5048,5175,5310,5448,5584,5719,5837,5976,6130,6268,6420,6583,6742,6912,7086,7255,7395,7576,7753,7943,8118,8280,8448,8629,8823,9004,9176,9356,9535,9715,9924,10130,10333,10550,10767,10963,11194,11407,11607,11819,12051,12269,12495,12725,12953,13192,13402,13663,13893,14132,14361,14606,14878,15144,15407,15690,15965,16253,16588,16877,17199,17537,17865,18188,18537,18898,19225,19562,19921,20282,20646,21003,21372,21817,22214,22609,23004,23403,23843,24298,24703,25102,25542,25995,26437,26865,27365,27873,28356,28776,29306,29794,30353,30865,31409,31955,32485,33008,33501,34050,34608,35174,35691,36286,36868,37447,38039,38649,39237,39882,40465,41024,41664,42263,42938,43559,44216,44900,45581,46266,47003,47735,48539,49341,50177,50993,51783,52588,53523,54398,55344,56337,57343,58337,59327,60434,61437,62530,63581,64612,65708,66780,67867,69042,70171,71308,72424,73555,74698,75845,76930,78098,79289,80436,81617,82808,84051,85312,86573,87784,89080,90408,91666,93050,94423,95877,97404,98850,100352,101815,103348,104890,106417,107906,109509,111108,112689,114311,116032,117688,119353,121081,122737,124552,126292,128105,129920,131715,133685,135487,137358,139269,141263,143188,145195,147151,149095,150965,153022,155013,157107,159157,161274,163342,165467,167540,169721,171989,174240,176479,178802,181163,183598,185867,188438,190889,193498,196043,198609,201316,203989,206733,209483,212370,215248,218186,221095,224225,227240,230289,233469,236630,239918,243245,246634,250127,253622,257171,260774,264318,267914,271579,275341,279273,283129,287083,291019,295124,299266,303446,307676,311979,316504,320718,325107,329568,334127,338735,343402,348164,353016,357810,362838,367882,372892,377947,383134,388405,393688,398995,404551,410066,415634,421359,427145,432873,438903,444893,451015,457260,463457,469816,476141,482483,489099,495751,502591,509198,516055,522993,530150,537485,544769,552130,559516,567031,574503,582166,589884,597851,605701,613747,621759,630008,638342,646836,655577,664195,673011,681847,690738,699702,708905,718208,727538,736999,746615,756262,766181,775926,785910,796214,806448,816549,827146,837463,847853,858443,869341,880109,891343,902385,913376,924856,936309,947900,959597,971379,983264,995488,1007757,1019929,1032266,1044958,1057867,1070705,1083813,1097109,1110488,1124021,1137642,1151461,1165365,1179504,1193994,1208622,1223110,1237637,1252660,1267950,1283371,1298742,1314429
1,1,1,3,3,7,8,9,10,13,16,19,21,24,25,35,43,48,57,68,74,90,97,104,115,128,138,149,158,165,176,183,197,206,214,227,237,250,265,277,285,294,308,316,330,353,370,387,397,407,422,440,455,469,484,504,515,538,558,572,587,605,622,642,666,690,704,728,753,777,793,808,831,845,877,906,931,949,971,997,1012,1028,1046,1067,1096,1112,1123,1142,1154,1165,1188,1213,1248,1265,1276,1295,1316,1333,1359,1385,1412,1439,1473,1513,1545,1572,1604,1629,1666,1702,1737,1773,1816,1863,1907,1954,2004,2060,2102,2148,2203,2258,2311,2367,2417,2490,2560,2630,2701,2767,2852,2933,3001,3101,3181,3249,3328,3421,3508,3602,3712,3794,3893,4008,4143,4249,4386,4529,4654,4764,4896,5031,5172,5324,5470,5604,5744,5877,6021,6186,6352,6496,6645,6811,6954,7124,7250,7426,7561,7710,7882,8052,8212,8383,8565,8724,8871,9043,9205,9363,9520,9669,9820,9992,10154,10315,10501,10648,10826,11001,11160,11363,11577,11738,11906,12097,12285,12493,12696,12931,13151,13359,13583,13772,13996,14195,14439,14687,14923,15166,15403,15657,15910,16145,16385,16630,16832,17068,17323,17558,17808,18073,18334,18597,18895,19159,19421,19675,19941,20264,20537,20801,21085,21369,21655,21924,22234,22509,22819,23117,23428,23739,24061,24388,24744,25097,25430,25769,26130,26517,26884,27239,27635,28021,28401,28805,29198,29613,30022,30474,30868,31306,31732,32191,32644,33111,33571,34042,34532,35047,35571,36038,36567,37110,37657,38194,38730,39225,39792,40365,40914,41453,41997,42562,43137,43731,44338,44912,45496,46075,46699,47294,47967,48583,49179,49800,50482,51146,51888,52566,53260,53951,54678,55422,56194,56980,57719,58522,59284,60093,60868,61682,62531,63375,64269,65179,66049,66970,67903,68854,69847,70833,71874,72857,73880,74955,75999,77127,78198,79353,80469,81591,82767,84012,85279,86583,87839,89137,90463,91850,93369,94882,96347,97795,99335,100840,102366,103948,105586,107224,108913,110629,112250,113998,115709,117514,119365,121194,123063,124960,126859,128782,130882,132883,134850,136979,139087,141227,143301,145398,147592,149867,152088,154363,156675,158985,161379,163832,166348,168812,171234,173734,176248,178793,181422,183936,186508,189103,191795,194568,197286,200061,202956,205871,208874,211854,214879,217951,221151,224261,227573,230816,234136,237423,240709,244096,247515,251069,254586,258121,261731,265568,269278,273041,276889,280742,284658,288525,292561,296619,300680,305069,309472,313824,318212,322738,327407,331966,336632,341478,346480,351489,356527,361797,367126,372561,378072,383651,389312,394994,400874,406775,412796,418836,424985,431246,437614,443900,450348,456857,463464,470245,476964,483854,490857,497984,505078,512325,519614,527013,534536,542201,549946,557819,565759,573695,581714,589892,598149,606588,615146,623704,632421,641136,650038,659021,668283,677475,686710,696074,705525,715082,724874,734854,744882,754989,765211,775591,786036,796841,807741,818738,829831,841025,852409,863966,875492
1,1,1,1,1,1,1,2,5,8,8,8,9,10,17,24,34,38,41,46,51,53,63,72,77,87,91,94,107,110,119,132,139,148,163,169,177,188,200,212,216,232,242,249,254,259,271,277,281,292,298,310,320,327,333,347,355,366,378,400,409,422,432,442,460,480,492,508,528,552,571,585,605,621,647,662,677,694,716,742,757,786,809,830,856,872,890,901,919,935,950,963,970,981,996,1009,1019,1033,1054,1065,1074,1099,1119,1129,1147,1162,1179,1193,1224,1246,1275,1300,1325,1354,1377,1392,1422,1456,1475,1498,1521,1540,1557,1576,1596,1624,1653,1674,1690,1725,1742,1765,1787,1814,1836,1861,1881,1896,1915,1934,1956,1975,1992,2016,2030,2053,2060,2073,2089,2104,2122,2132,2143,2151,2158,2168,2179,2197,2214,2235,2253,2269,2280,2301,2319,2345,2362,2383,2408,2437,2451,2472,2488,2507,2529,2557,2578,2605,2634,2666,2690,2714,2737,2766,2789,2822,2846,2872,2888,2924,2955,2983,3012,3046,3084,3117,3160,3204,3250,3294,3339,3391,3437,3489,3534,3575,3619,3695,3752,3819,3895,3950,4015,4069,4119,4180,4246,4305,4381,4452,4509,4586,4651,4722,4809,4909,5000,5087,5185,5282,5406,5527,5649,5780,5866,6008,6143,6260,6395,6537,6679,6838,6964,7120,7259,7401,7554,7680,7828,7995,8146,8302,8441,8581,8714,8887,9045,9208,9382,9545,9712,9881,10049,10239,10440,10629,10844,11028,11231,11420,11600,11807,12018,12241,12477,12723,12965,13229,13511,13758,13998,14254,14505,14768,15014,15288,15588,15896,16183,16488,16790,17073,17381,17679,18023,18376,18705,19056,19354,19683,19996,20333,20653,20995,21342,21714,22102,22483,22857,23255,23659,24120,24535,24936,25370,25816,26266,26717,27207,27680,28196,28704,29187,29683,30163,30717,31229,31747,32306,32866,33399,33958,34571,35147,35683,36303,36901,37529,38147,38811,39476,40105,40761,41420,42133,42796,43509,44226,44963,45710,46506,47285,48068,48862,49683,50533,51340,52229,53163,54074,55006,55968,56962,57953,58976,59933,60970,61974,63046,64191,65271,66424,67597,68785,69990,71229,72417,73686,74985,76325,77698,79052,80414,81855,83332,84782,86192,87698,89230,90855,92378,94025,95701,97309,98960,100657,102319,104099,105882,107689,109510,111358,113206,115119,117017,118974,120953,122896,124716,126764,128872,130849,132994,135096,137241,139497,141761,144034,146311,148638,151058,153445,155839,158295,160754,163274,165883,168410,170973,173581,176365,179120,181804,184446,187274,190046,192920,195662,198544,201586,204666,207690,210756,213884,217062,220268,223532,226798,230096,233419,236881,240322,243797,247353,250932,254581,258218,261935,265707,269479,273270,277204,281080,285165,289246,293296,297431,301660,305963,310424,314865,319409,324037,328619,333438,338326,343139,348048,353224,358229,363398,368550,373873,379094,384578,390208,395753,401459,407212,413112,418943,424809,430788,436830,442979,449380,455671
1,1,2,3,3,6,7,9,11,15,18,22,25,27,28,29,29,30,36,39,44,51,55,61,62,65,71,76,81,87,95,100,109,117,127,136,142,149,162,172,181,191,199,207,217,225,233,246,256,267,273,278,286,293,303,316,328,341,354,368,380,394,407,425,442,456,474,492,505,519,535,558,582,603,629,651,673,690,711,733,747,767,789,812,828,847,872,890,905,923,957,988,1002,1029,1047,1067,1096,1118,1139,1150,1168,1194,1224,1242,1266,1285,1316,1348,1393,1415,1442,1475,1506,1539,1581,1619,1651,1682,1724,1763,1806,1851,1889,1937,1974,2020,2067,2114,2180,2236,2302,2363,2407,2450,2515,2582,2645,2691,2746,2806,2870,2936,2994,3074,3147,3204,3281,3345,3416,3490,3559,3639,3710,3786,3860,3955,4040,4117,4197,4285,4370,4459,4541,4648,4747,4837,4937,5019,5110,5194,5279,5373,5455,5537,5634,5701,5781,5888,5973,6069,6173,6271,6368,6481,6588,6679,6779,6872,6985,7096,7209,7336,7468,7585,7687,7815,7935,8045,8175,8311,8433,8578,8733,8876,9006,9157,9299,9461,9612,9744,9880,10017,10169,10332,10472,10651,10837,10992,11152,11297,11436,11603,11738,11887,12026,12200,12350,12535,12693,12866,13041,13207,13428,13610,13801,14025,14215,14409,14623,14825,15044,15252,15437,15639,15846,16064,16288,16518,16759,16975,17195,17441,17664,17895,18133,18369,18612,18875,19140,19414,19700,19954,20259,20545,20837,21130,21412,21691,21980,22317,22653,22945,23255,23546,23891,24219,24559,24925,25270,25618,25945,26269,26618,26986,27348,27738,28158,28581,28992,29425,29826,30262,30687,31138,31622,32095,32531,33014,33513,34001,34497,35008,35529,36075,36586,37118,37713,38244,38812,39381,39951,40552,41203,41806,42455,43071,43670,44273,44927,45612,46292,46939,47662,48387,49127,49838,50621,51340,52069,52793,53524,54313,55089,55862,56595,57420,58224,59039,59828,60609,61398,62232,63040,63902,64776,65636,66507,67376,68194,69107,70006,70959,71850,72806,73748,74708,75678,76648,77674,78623,79642,80688,81704,82801,83894,84964,86036,87168,88285,89393,90564,91709,92963,94150,95393,96693,98022,99378,100607,101940,103247,104654,106104,107551,108973,110444,111838,113348,114819,116298,117833,119359,120900,122525,124159,125761,127364,128966,130555,132238,133886,135565,137292,138988,140704,142488,144187,145948,147672,149478,151288,153143,154955,156864,158863,160818,162787,164714,166790,168900,170928,173015,175088,177270,179482,181797,184105,186507,188812,191137,193513,195989,198475,200967,203447,205960,208569,211177,213819,216565,219399,222189,225083,228032,230895,233883,236912,239951,243053,246296,249545,252869,256258,259768,263290,266835,270503,274269,278040,281996,285840,289702,293618,297551,301630,305922,310180,314433,318751,323027,327350,331886,336335,340909,345473,350133,354793,359540,364212,368996,373915,378840,383651,388739,393930,399156,404405,409646,414947,420224,425670,431054,436511,442058,447829,453482,459214
1,1,2,4,6,7,10,12,16,19,20,24,32,33,37,43,47,52,61,70,71,76,83,95,109,129,141,158,175,186,204,217,233,247,264,278,292,317,337,350,372,387,403,416,427,443,451,465,486,501,517,533,549,573,593,618,637,655,675,694,715,744,761,777,804,830,859,899,928,953,972,990,1020,1048,1063,1087,1123,1149,1168,1199,1231,1267,1301,1327,1352,1379,1407,1429,1456,1489,1517,1547,1571,1592,1634,1665,1703,1734,1765,1796,1829,1861,1894,1929,1968,2003,2023,2067,2105,2144,2173,2213,2249,2289,2325,2373,2417,2464,2514,2555,2598,2646,2683,2722,2783,2838,2893,2950,3002,3052,3108,3163,3238,3305,3373,3431,3499,3566,3620,3672,3745,3824,3903,3972,4047,4120,4195,4270,4344,4426,4513,4582,4673,4753,4846,4949,5028,5130,5225,5316,5419,5523,5628,5746,5848,5958,6050,6159,6259,6368,6472,6578,6713,6824,6951,7049,7175,7312,7447,7590,7743,7859,8030,8191,8314,8451,8579,8712,8837,8979,9112,9239,9386,9554,9702,9854,10014,10166,10342,10503,10676,10846,11043,11222,11421,11576,11749,11918,12122,12331,12538,12734,12932,13156,13367,13568,13769,13948,14177,14366,14577,14868,15093,15304,15558,15797,16045,16288,16542,16827,17091,17359,17638,17904,18183,18489,18747,19040,19329,19643,19957,20273,20599,20868,21172,21438,21748,22062,22419,22795,23123,23449,23802,24162,24505,24862,25205,25596,25958,26377,26814,27229,27654,28088,28546,28977,29403,29865,30328,30814,31272,31727,32247,32799,33289,33807,34317,34849,35400,35882,36418,36959,37447,37955,38511,39043,39613,40179,40759,41323,41938,42518,43090,43686,44257,44856,45463,46059,46668,47279,47947,48572,49268,49954,50643,51351,52018,52673,53347,54127,54869,55580,56263,56939,57706,58468,59227,59932,60674,61392,62187,62959,63722,64511,65317,66119,66906,67731,68517,69333,70177,71104,71973,72850,73743,74694,75598,76539,77511,78413,79374,80396,81366,82370,83361,84384,85390,86500,87520,88600,89720,90814,91891,93065,94245,95374,96566,97785,99003,100243,101487,102647,103914,105241,106518,107836,109141,110470,111803,113193,114595,116059,117544,119023,120486,122000,123580,125129,126688,128241,129934,131645,133346,135054,136780,138546,140229,142105,143937,145794,147714,149625,151653,153662,155712,157709,159748,161854,163934,166110,168412,170607,172865,175057,177317,179635,182015,184341,186851,189254,191671,194145,196693,199237,201754,204346,206950,209620,212240,214908,217695,220582,223420,226381,229310,232250,235181,238264,241330,244476,247703,250978,254239,257614,261018,264412,267933,271536,275232,278925,282635,286480,290345,294219,298094,302108,306225,310357,314585,318892,323193,327507,332025,336555,341085,345810,350537,355416,360142,364994,370008,374981,380115,385152,390398,395597,400993,406449,411778,417358,422781,428475,434115,439959,445796,451907,457869,463990,470079,476359,482639,489120,495492,502121,508747,515399,522249,529245,536357,543577,550886,558158,565696,573328,580960,588803,596969
1,1,1,1,1,7,9,10,12,15,19,22,28,35,41,47,53,65,70,75,91,100,113,123,130,142,155,165,182,199,215,232,250,270,287,302,317,333,353,370,391,410,430,454,480,509,531,568,593,607,634,655,682,713,759,795,836,875,915,960,1013,1060,1110,1176,1224,1273,1324,1381,1421,1480,1534,1608,1667,1724,1769,1822,1868,1934,1985,2064,2139,2201,2268,2332,2417,2490,2563,2626,2691,2787,2877,2960,3039,3124,3190,3258,3324,3409,3483,3567,3628,3713,3793,3875,3954,4022,4099,4176,4254,4346,4431,4512,4601,4705,4793,4894,4993,5099,5188,5282,5383,5472,5592,5687,5770,5872,5974,6078,6177,6299,6421,6521,6639,6750,6879,7014,7134,7264,7404,7559,7711,7863,8002,8178,8329,8498,8661,8825,9008,9189,9371,9553,9749,9928,10136,10331,10508,10700,10887,11105,11289,11478,11690,11921,12133,12356,12569,12773,12953,13192,13402,13622,13861,14109,14362,14608,14824,15046,15320,15585,15844,16110,16403,16682,16967,17248,17555,17871,18198,18514,18846,19131,19453,19803,20121,20473,20853,21231,21599,21966,22355,22761,23122,23496,23884,24236,24619,25026,25391,25768,26170,26534,26926,27321,27740,28117,28516,28899,29319,29722,30116,30514,30955,31404,31822,32240,32670,33083,33493,33969,34406,34889,35318,35817,36303,36815,37317,37815,38336,38853,39408,39971,40490,40945,41490,42008,42514,43026,43534,44061,44605,45131,45672,46214,46759,47312,47903,48525,49129,49703,50306,50939,51552,52186,52803,53394,54018,54710,55362,56012,56675,57341,58073,58794,59510,60247,60972,61677,62422,63220,63979,64743,65545,66278,67083,67877,68720,69588,70417,71250,72114,72989,73915,74818,75788,76712,77694,78655,79693,80730,81747,82792,83815,84911,85984,87117,88192,89333,90458,91657,92835,94050,95155,96397,97661,98827,100064,101385,102669,104065,105400,106767,108153,109551,110917,112402,113877,115298,116780,118256,119802,121410,122974,124575,126258,127926,129656,131365,133100,134895,136709,138542,140436,142322,144322,146256,148257,150240,152319,154432,156606,158766,160908,163186,165464,167778,170174,172619,175055,177572,180190,182780,185442,188277,191079,193879,196707,199638,202612,205536,208488,211630,214716,217793,220923,224196,227463,230781,234044,237419,240857,244255,247838,251255,254846,258360,262028,265776,269578,273347,277199,281062,285075,289045,293183,297329,301582,305774,310110,314586,319082,323559,328235,332895,337693,342453,347326,352355,357402,362653,367808,373080,378425,383898,389289,394947,400555,406250,412081,417993,424153,430256,436428,442635,448934,455439,461868,468331,474911,481609,488544,495590,502609,509712,517027,524348,531706,539193,546774,554295,561994,569817,577757,585735,593825,602012,610171,618595,627049,635401,644141,652850,661790,670691,679770,689025,698203,707522,716976,726771,736467,746513,756508,766724,777037,787488,798047,808750,819401,830022,841072,852318,863580,874972,886798,898560,910508,922461,934506,946711,959073,971528,984214,996900,1009764,1022894,1036049,1049265,1062691,1076186,1089915,1103808,1117878,1132087,1146399,1160854,1175657
1,1,1,1,3,3,4,4,6,6,10,11,11,11,12,12,12,15,21,27,30,36,43,54,60,69,76,83,90,97,107,119,127,134,153,169,179,211,230,247,273,288,308,334,364,390,408,437,462,495,524,562,586,619,657,687,717,763,808,843,891,938,983,1032,1078,1123,1165,1206,1246,1289,1327,1378,1431,1473,1512,1562,1611,1663,1716,1755,1808,1866,1922,1987,2040,2088,2135,2194,2260,2328,2383,2447,2508,2564,2627,2679,2735,2800,2870,2944,3007,3080,3150,3218,3284,3322,3375,3432,3495,3546,3615,3676,3736,3796,3865,3923,3993,4060,4118,4172,4233,4306,4367,4448,4522,4592,4648,4699,4746,4799,4857,4913,4976,5053,5111,5167,5226,5282,5338,5389,5470,5532,5601,5655,5707,5760,5817,5876,5929,5984,6040,6077,6135,6199,6260,6318,6365,6425,6482,6555,6594,6644,6701,6763,6815,6860,6921,6980,7025,7079,7147,7204,7258,7320,7369,7427,7510,7588,7650,7730,7793,7886,7952,8019,8104,8204,8275,8365,8453,8543,8631,8730,8851,8953,9038,9148,9247,9368,9463,9568,9679,9798,9899,10001,10142,10249,10356,10476,10589,10702,10813,10931,11059,11215,11342,11476,11620,11766,11909,12046,12177,12313,12468,12591,12732,12883,13053,13208,13364,13498,13647,13797,13955,14107,14258,14424,14610,14758,14919,15080,15247,15407,15561,15758,15926,16123,16293,16463,16639,16786,16979,17174,17384,17564,17741,17924,18113,18307,18502,18699,18902,19116,19336,19589,19807,20007,20268,20512,20789,21020,21268,21572,21856,22123,22393,22663,22961,23258,23558,23861,24154,24492,24818,25130,25440,25773,26148,26492,26832,27221,27540,27891,28265,28615,28972,29330,29721,30122,30525,30924,31356,31757,32209,32637,33055,33519,33970,34444,34899,35401,35856,36325,36814,37319,37856,38374,38908,39466,40023,40618,41202,41788,42335,42889,43493,44081,44716,45344,46012,46674,47340,48040,48776,49543,50294,51061,51836,52591,53430,54220,55036,55845,56699,57608,58502,59382,60292,61110,61930,62844,63694,64690,65688,66676,67728,68710,69795,70810,71919,72957,73967,75113,76238,77385,78526,79739,80979,82226,83424,84636,85833,87011,88289,89520,90781,92052,93309,94579,95866,97166,98477,99787,101148,102558,103915,105366,106797,108182,109612,111065,112523,113996,115478,116984,118581,120186,121832,123529,125192,126903,128657,130364,132163,133965,135722,137553,139308,141126,143001,144982,146901,148896,150851,152779,154824,156878,159026,161154,163236,165409,167562,169801,172063,174295,176520,178680,180977,183266,185530,187899,190287,192718,195060,197547,200003,202464,204932,207496,210114,212714,215396,218069,220734,223460,226157,228845,231685,234620,237572,240557,243573,246628,249783,252920,256259,259468,262728,266118,269504,273077,276610,280332,284050,287736,291555,295411,299352,303339,307302,311372,315393,319575,323735,327951,332336,336629,341092,345633,350279,355026,359728,364730,369575,374653,379685,384894,390171,395605,401148,406670,412252,417997,423946,429943,435959,442063,448423
1,1,1,1,1,1,3,3,4,6,7,10,10,12,16,19,23,26,27,29,31,35,41,48,54,62,74,81,94,100,111,123,137,151,171,191,208,223,247,266,285,297,318,341,358,375,398,417,441,459,488,509,538,562,585,617,659,689,712,743,777,817,847,890,920,956,996,1034,1075,1121,1168,1207,1260,1296,1331,1377,1431,1469,1524,1565,1602,1661,1711,1748,1797,1837,1877,1927,1964,2013,2052,2092,2136,2181,2223,2269,2300,2348,2392,2433,2481,2528,2581,2627,2670,2719,2765,2818,2855,2899,2957,3000,3051,3094,3141,3194,3258,3321,3388,3455,3515,3586,3648,3706,3767,3832,3904,3969,4050,4132,4220,4304,4389,4478,4560,4647,4733,4819,4903,4985,5073,5143,5203,5286,5380,5452,5528,5614,5678,5771,5854,5968,6036,6114,6194,6279,6361,6472,6544,6635,6718,6800,6894,6980,7077,7171,7267,7344,7436,7509,7602,7685,7771,7867,7961,8042,8138,8243,8345,8448,8549,8650,8756,8877,8979,9107,9240,9401,9522,9636,9767,9909,10058,10207,10359,10508,10658,10809,10949,11085,11233,11397,11551,11690,11859,12018,12173,12317,12444,12603,12728,12887,13019,13159,13308,13452,13607,13772,13938,14104,14275,14441,14614,14770,14937,15090,15284,15440,15601,15782,15985,16176,16355,16543,16715,16929,17145,17338,17530,17722,17935,18148,18364,18554,18799,18998,19210,19456,19672,19948,20163,20388,20638,20872,21145,21452,21738,21987,22271,22546,22840,23123,23421,23717,24019,24331,24675,25027,25412,25729,26060,26417,26776,27116,27456,27851,28198,28539,28879,29240,29622,29990,30353,30714,31092,31504,31927,32285,32677,33065,33454,33865,34242,34616,35002,35395,35767,36179,36641,37093,37491,37918,38369,38803,39285,39756,40286,40807,41318,41841,42414,42953,43484,44009,44551,45092,45706,46326,46890,47546,48113,48724,49329,49929,50554,51176,51843,52493,53189,53901,54612,55286,55972,56661,57464,58166,58896,59648,60433,61223,62080,62881,63724,64565,65416,66246,67113,68025,68910,69801,70728,71649,72638,73675,74571,75609,76607,77687,78710,79749,80785,81820,82864,83963,85116,86178,87282,88441,89553,90670,91888,93120,94431,95717,97019,98258,99652,100886,102193,103598,105017,106403,107859,109297,110790,112286,113820,115338,116869,118390,119984,121647,123319,124960,126635,128363,130079,131774,133472,135226,136931,138766,140585,142340,144156,146035,147904,149784,151663,153580,155549,157543,159451,161484,163609,165789,167883,170204,172361,174716,176964,179231,181549,183906,186314,188817,191284,193867,196392,198911,201541,204147,206820,209624,212443,215332,218306,221326,224408,227574,230731,233909,237142,240422,243801,247272,250725,254246,257772,261321,264890,268599,272329,276159,279980,283839,287682,291616,295621,299768,303790,307830,312060,316339,320543,325031,329268,333663,338103,342631,347220,351895,356581,361484,366212,371079,376060,381018,386124,391299,396415,401681,407130,412551,418125,423806,429546,435464,441246,447128,453176,459476,465638,471947,478200,484846,491384
1,1,1,2,2,3,6,6,7,7,9,9,9,9,9,9,9,9,9,13,16,18,19,21,23,24,24,25,25,26,28,29,34,40,44,49,52,57,61,66,70,75,81,90,99,112,120,130,144,149,160,167,181,190,198,210,218,231,243,261,274,286,299,319,331,346,365,383,408,432,464,495,532,563,602,634,670,703,755,790,821,856,893,938,993,1039,1077,1132,1174,1224,1269,1319,1368,1417,1466,1518,1567,1618,1668,1718,1782,1833,1875,1919,1980,2049,2107,2148,2207,2257,2315,2366,2419,2467,2516,2561,2626,2671,2732,2792,2844,2914,2968,3019,3067,3133,3209,3271,3356,3426,3508,3614,3701,3814,3909,3997,4127,4245,4362,4471,4585,4698,4835,4946,5066,5200,5316,5459,5587,5728,5892,6030,6156,6317,6476,6629,6767,6923,7099,7252,7405,7579,7733,7876,8036,8225,8403,8579,8765,8978,9165,9366,9567,9789,10006,10200,10433,10650,10842,11081,11342,11602,11857,12094,12378,12647,12928,13208,13468,13784,14096,14411,14735,15078,15451,15795,16183,16579,16976,17337,17732,18112,18521,18970,19417,19867,20301,20761,21221,21684,22127,22566,23055,23511,23991,24456,24923,25374,25877,26334,26819,27364,27864,28347,28829,29317,29815,30267,30787,31302,31844,32316,32905,33418,33963,34520,35040,35636,36213,36785,37341,37941,38537,39173,39838,40512,41194,41865,42525,43202,43884,44660,45390,46165,46912,47691,48502,49345,50094,50869,51732,52549,53410,54300,55184,56080,57011,57966,58865,59766,60703,61672,62651,63633,64607,65558,66516,67533,68489,69510,70512,71578,72591,73659,74700,75735,76800,77861,78895,80059,81142,82213,83312,84404,85599,86788,88028,89173,90399,91567,92868,94170,95442,96698,97971,99318,100696,101988,103293,104617,106069,107489,108945,110474,111962,113422,114976,116489,117987,119593,121179,122833,124493,126146,127772,129454,131181,133034,134878,136725,138544,140388,142259,144111,146044,148099,150132,152126,154176,156246,158388,160463,162742,164867,167069,169293,171432,173694,176022,178383,180750,183206,185695,188197,190807,193325,195981,198642,201315,203994,206730,209565,212521,215424,218486,221510,224525,227729,230971,234157,237404,240721,244089,247451,250969,254380,257971,261558,265158,268892,272783,276564,280393,284387,288247,292133,296246,300371,304493,308694,312944,317190,321542,326019,330609,335076,339675,344392,349283,354076,358899,363875,368721,373721,378925,384071,389193,394579,399826,405136,410680,416121,421618,427278,432887,438590,444355,450235,456108,462092,467962,474047,480169,486230,492644,498891,505277,511733,518136,524799,531462,538148,544993,551985,558987,566299,573488,580756,588128,595745,603197,610907,618569,626616,634640,642883,650916,659509,668122,676548,685186,693997,702786,711631,720530,729683,738691,748043,757413,766853,776419,786037,795904,805543,815332,825317,835432,845564,855812,866333,876907,887641,898474,909342,920325,931400,942693,954044,965716,977440,989283,1001178,1013316,1025507,1037939,1050536,1063255,1076016,1088902,1102018,1115414,1128831,1142507,1156576,1170554,1184841,1199418
1,1,3,6,13,16,18,21,22,23,29,33,35,38,43,47,49,57,64,79,85,96,110,119,125,144,155,170,175,188,202,215,222,232,247,262,279,289,310,322,341,358,374,385,398,424,447,467,482,501,522,540,557,581,607,639,658,677,699,726,749,778,801,824,852,877,908,933,954,981,1014,1046,1071,1105,1142,1186,1213,1247,1281,1326,1358,1400,1443,1488,1531,1574,1598,1633,1664,1729,1767,1825,1876,1934,2001,2056,2106,2171,2216,2273,2332,2387,2446,2515,2586,2645,2705,2780,2844,2920,2993,3075,3156,3225,3296,3375,3456,3537,3615,3698,3776,3869,3962,4044,4123,4214,4326,4439,4541,4637,4744,4855,4977,5082,5210,5341,5464,5590,5722,5868,6025,6129,6258,6403,6553,6682,6839,6995,7136,7276,7435,7596,7765,7940,8106,8258,8423,8581,8746,8914,9072,9220,9394,9570,9733,9901,10062,10226,10399,10571,10743,10911,11092,11253,11436,11594,11771,11942,12100,12276,12466,12681,12885,13112,13331,13541,13760,13975,14192,14412,14630,14859,15122,15353,15613,15875,16126,16402,16687,16978,17273,17559,17857,18152,18461,18786,19108,19434,19763,20104,20463,20809,21140,21488,21822,22195,22567,22922,23305,23743,24165,24544,24947,25396,25793,26187,26616,27080,27568,28031,28513,28971,29479,29944,30401,30890,31388,31889,32423,32958,33460,33975,34476,35022,35577,36127,36671,37279,37870,38426,39023,39602,40171,40786,41430,42052,42699,43370,44015,44653,45339,46029,46731,47475,48234,48993,49746,50511,51270,52061,52886,53696,54534,55442,56364,57276,58109,58997,59954,60872,61778,62695,63658,64639,65578,66551,67518,68543,69531,70551,71585,72621,73658,74774,75909,77032,78227,79316,80515,81713,82951,84166,85425,86663,87929,89228,90530,91875,93234,94610,96098,97538,99023,100476,101967,103511,105079,106662,108258,109889,111522,113119,114774,116467,118229,120035,121894,123597,125364,127215,129060,130920,132868,134759,136732,138689,140584,142648,144779,146878,149078,151270,153498,155852,158155,160442,162758,165215,167620,170110,172603,175199,177866,180609,183312,186095,188843,191658,194586,197628,200712,203822,206937,210126,213384,216752,220017,223343,226659,230084,233632,237221,240916,244641,248391,252138,255942,259844,263755,267736,271775,275769,279825,284032,288285,292639,296958,301269,305691,310156,314704,319367,323977,328758,333715,338606,343410,348362,353435,358377,363576,368855,374130,379432,384882,390445,395955,401508,407135,412918,418717,424633,430661,436696,442925,449239,455577,462056,468675,475258,481863,488749,495609,502750,509805,517062,524457,531859,539313,546870,554620,562353,570180,578222,586419,594550,602731,610870,619212,627664,636274,644948,653799,662777,671904,681135,690583,699969,709505,719021,728760,738679,748636,758823,769043,779319,789629,800108,810599,821306,832270,843200,854301,865665,877066,888578,900405,912257,924297,936403,948527,960858,973275,985860,998493,1011309,1024338,1037407,1050675,1064165,1077830,1091530,1105618,1119623,1133997,1148320,1162813,1177480,1192430,1207461,1222696,1237769,1253074,1268698,1284438,1300236,1316257
1,1,1,1,1,1,1,4,4,5,5,7,7,7,8,11,11,14,14,15,15,16,21,23,24,26,26,27,29,31,34,35,40,46,48,51,60,64,71,80,91,94,102,110,115,118,123,132,139,147,158,168,171,178,184,187,192,201,206,214,217,221,226,234,237,243,250,261,269,272,281,287,294,302,316,322,330,345,355,367,383,408,419,444,464,487,507,530,560,579,600,636,675,714,762,800,837,885,946,990,1041,1073,1121,1164,1197,1245,1287,1334,1383,1427,1474,1517,1569,1630,1681,1744,1801,1864,1930,1983,2047,2090,2157,2231,2287,2357,2452,2528,2591,2666,2734,2812,2906,2974,3057,3128,3214,3277,3355,3439,3513,3595,3688,3779,3857,3946,4048,4129,4222,4307,4410,4502,4597,4704,4794,4892,4981,5088,5198,5323,5435,5546,5674,5785,5879,6006,6133,6264,6368,6500,6625,6737,6853,6985,7115,7257,7382,7512,7652,7773,7907,8028,8168,8286,8424,8552,8709,8861,8989,9156,9273,9423,9571,9728,9865,10002,10146,10300,10457,10614,10757,10935,11094,11272,11437,11622,11764,11929,12080,12240,12414,12605,12771,12969,13163,13335,13516,13718,13925,14140,14342,14556,14760,14981,15189,15439,15690,15952,16146,16389,16632,16911,17160,17425,17724,18011,18303,18600,18862,19139,19426,19718,20044,20329,20622,20909,21196,21494,21793,22087,22399,22713,23041,23384,23716,24064,24426,24824,25224,25627,26039,26507,27006,27496,27946,28397,28934,29408,29959,30490,31080,31602,32150,32742,33323,33882,34463,35065,35662,36263,36936,37558,38193,38826,39498,40143,40784,41438,42163,42858,43522,44254,44938,45667,46425,47152,47949,48719,49510,50363,51178,52017,52829,53702,54645,55560,56493,57418,58406,59350,60281,61275,62234,63234,64262,65357,66408,67449,68544,69671,70803,71908,72991,74110,75181,76353,77445,78649,79831,81042,82222,83446,84696,85918,87219,88463,89827,91099,92424,93768,95011,96319,97704,99146,100524,101861,103276,104721,106182,107654,109083,110538,112042,113613,115135,116687,118266,119887,121575,123285,124959,126592,128259,129959,131756,133518,135347,137099,138977,140813,142734,144729,146705,148734,150729,152796,154903,157004,159198,161360,163437,165634,167792,170030,172355,174707,177011,179445,181829,184273,186748,189230,191761,194343,196893,199512,202133,204782,207547,210296,213086,215929,218869,221660,224620,227620,230594,233560,236602,239654,242908,246092,249239,252411,255732,259015,262409,265725,269143,272574,276179,279776,283413,287263,290947,294784,298818,302654,306638,310674,314665,318694,322872,327091,331417,335765,340166,344610,349188,353838,358520,363145,367977,372691,377486,382358,387436,392466,397531,402708,407904,413213,418563,424160,429760,435626,441417,447157,452989,458963,465164,471498,477838,484118,490522,496808,503287,509846,516586,523350,530133,537046,544090,551203,558431,565788,573252,580757,588470,596057,603873,611877,619879,627928,636353,644758,653266,661836,670481,679346,688357,697361,706540,715814,725243,734987,744545
1,1,1,1,2,3,3,3,4,6,6,7,9,9,11,14,16,21,23,26,26,32,37,41,47,50,53,58,69,74,76,82,84,91,101,107,115,124,129,132,142,148,155,165,175,181,190,195,200,206,214,219,227,237,240,252,258,266,279,285,294,309,318,327,334,342,356,369,385,402,411,422,430,438,450,464,475,483,491,508,525,545,569,590,609,622,638,645,659,677,692,714,740,753,772,784,800,811,824,840,863,884,901,920,944,960,981,999,1026,1045,1064,1081,1102,1125,1155,1174,1193,1230,1257,1280,1309,1333,1363,1391,1419,1440,1469,1509,1539,1582,1619,1653,1699,1717,1746,1770,1793,1823,1867,1898,1931,1975,2016,2048,2087,2126,2168,2216,2252,2283,2332,2387,2441,2499,2552,2607,2675,2759,2831,2905,2969,3046,3103,3177,3257,3352,3432,3508,3599,3685,3778,3870,3959,4038,4134,4242,4346,4452,4533,4640,4740,4843,4948,5053,5174,5278,5364,5468,5549,5647,5750,5864,5972,6075,6183,6295,6412,6527,6643,6772,6896,7026,7169,7292,7427,7575,7706,7833,7973,8130,8290,8446,8594,8750,8898,9077,9239,9416,9592,9776,9951,10122,10290,10451,10607,10799,10952,11139,11318,11497,11672,11859,12060,12249,12423,12607,12818,13032,13246,13423,13625,13842,14018,14232,14420,14624,14829,15038,15240,15430,15644,15833,16078,16297,16540,16757,16996,17222,17488,17740,18003,18266,18525,18816,19105,19360,19664,19938,20268,20570,20874,21184,21522,21853,22240,22587,22908,23228,23579,23937,24298,24639,25010,25387,25772,26114,26529,26975,27372,27765,28196,28620,29000,29433,29864,30235,30640,31066,31526,31909,32328,32737,33177,33641,34090,34533,34976,35479,35968,36458,36976,37469,37997,38523,39101,39686,40292,40888,41499,42101,42697,43376,44016,44670,45279,45950,46648,47323,48033,48748,49411,50146,50858,51626,52428,53167,53996,54796,55573,56422,57222,58039,58818,59640,60462,61299,62154,63038,63875,64765,65656,66653,67575,68483,69471,70430,71425,72368,73327,74329,75306,76331,77365,78425,79461,80621,81674,82757,83883,85041,86230,87456,88631,89789,91018,92272,93572,94783,96097,97464,98797,100225,101521,102954,104301,105634,107130,108573,110086,111530,113009,114560,116068,117602,119130,120788,122340,124020,125666,127300,129014,130720,132408,134139,135970,137789,139652,141553,143473,145360,147362,149342,151345,153391,155513,157519,159618,161784,163942,166184,168385,170587,172885,175173,177560,179964,182339,184783,187226,189609,192052,194715,197258,199857,202489,205117,207797,210512,213204,216025,218880,221729,224621,227611,230672,233706,236753,239926,243144,246457,249805,253138,256578,260060,263508,267112,270620,274151,277788,281457,285087,288788,292545,296271,300154,303914,307875,311755,315794,319801,323889,328040,332337,336667,341035,345514,349965,354468,359117,363753,368556,373457,378532,383573,388767,394080,399461,404725,410269,415921,421490,427209,433170,438933,444740,450784,456881
1,1,1,1,1,2,4,5,7,9,9,9,12,13,14,16,16,16,19,26,29,33,38,44,48,50,53,57,68,80,89,94,103,112,124,132,140,147,155,166,175,186,194,207,216,229,245,257,263,272,278,290,309,323,332,353,368,380,398,409,428,444,460,476,495,509,528,540,561,580,594,622,641,664,688,706,728,760,787,806,824,844,880,919,945,968,1003,1040,1083,1111,1136,1175,1206,1240,1277,1307,1337,1365,1405,1441,1483,1522,1569,1612,1656,1699,1740,1777,1835,1871,1924,1989,2041,2087,2140,2194,2248,2316,2370,2421,2467,2523,2582,2648,2708,2776,2835,2888,2961,3015,3080,3141,3203,3256,3299,3350,3413,3476,3551,3622,3691,3783,3850,3920,4002,4076,4151,4225,4290,4375,4444,4511,4588,4655,4743,4823,4899,4996,5072,5159,5243,5331,5448,5557,5656,5762,5872,5998,6111,6232,6358,6485,6634,6783,6940,7074,7229,7386,7534,7694,7867,8039,8220,8385,8570,8748,8912,9096,9284,9450,9613,9784,9971,10164,10371,10558,10766,10941,11137,11355,11552,11747,11927,12140,12369,12603,12810,13019,13235,13457,13707,13914,14146,14388,14611,14869,15108,15341,15548,15789,16044,16277,16518,16760,16970,17231,17513,17787,18071,18303,18532,18808,19112,19413,19699,19995,20280,20572,20883,21193,21513,21830,22143,22481,22853,23185,23510,23869,24230,24593,24964,25355,25729,26089,26478,26895,27304,27714,28166,28592,29051,29459,29885,30368,30825,31328,31816,32301,32790,33283,33785,34301,34830,35393,35895,36403,36970,37480,38017,38593,39185,39806,40411,41027,41690,42393,43034,43693,44442,45185,45925,46703,47530,48332,49164,50022,50802,51640,52483,53390,54289,55218,56134,57044,58056,59027,59996,61022,62007,63054,64072,65084,66193,67213,68289,69375,70499,71643,72799,73976,75167,76398,77582,78783,80019,81267,82571,83778,85131,86392,87807,89229,90641,92131,93632,95120,96617,98067,99644,101178,102770,104419,106159,107904,109674,111369,113205,115201,117115,119103,121046,122985,125012,127129,129191,131326,133470,135616,137932,140219,142575,144853,147218,149556,151855,154322,156840,159361,161934,164577,167173,169819,172623,175404,178163,180921,183922,186880,189862,192880,196019,199188,202381,205647,208960,212306,215694,219267,222710,226292,229870,233516,237137,240824,244575,248337,252353,256372,260421,264442,268602,272772,277072,281298,285622,289984,294419,298782,303255,307764,312405,317145,322007,326911,331689,336687,341621,346802,351864,357153,362533,367874,373350,378885,384398,390204,396040,402023,407920,414019,420160,426421,432720,439212,445762,452383,459214,466006,473077,480243,487465,494944,502501,510102,517800,525643,533530,541636,549837,558014,566373,574888,583480,592374,601416,610490,619641,628821,638225,647656,657314,667180,676803,686712,696862,707126,717278,727639,738021,748625,759453,770451,781260,792363,803546,815060,826535,838134,849942,862016,874219,886454,899074,911766,924662,937604,950642,964090,977592,991247,1005000,1018848,1032849,1047259,1061659,1076242,1091212
1,1,1,1,1,2,3,4,4,5,6,9,12,16,20,20,21,26,29,30,32,34,38,41,46,50,56,60,63,68,78,87,94,101,107,117,124,128,132,142,151,160,167,172,182,190,197,204,209,212,218,225,228,235,245,250,256,258,263,267,271,275,281,285,287,292,294,298,301,306,314,316,322,325,331,336,344,356,365,376,390,403,421,442,463,487,505,535,545,570,590,614,634,675,696,726,751,790,832,884,923,952,996,1042,1070,1113,1160,1193,1233,1278,1337,1386,1461,1508,1575,1637,1698,1755,1820,1903,1966,2030,2102,2168,2235,2317,2383,2453,2528,2619,2713,2809,2893,2978,3073,3152,3272,3370,3470,3580,3668,3793,3888,4020,4129,4241,4373,4469,4589,4712,4832,4953,5064,5192,5331,5464,5619,5744,5881,6049,6221,6407,6621,6795,6990,7185,7364,7547,7730,7928,8161,8390,8598,8817,9076,9308,9513,9732,9978,10201,10432,10652,10900,11129,11374,11597,11825,12069,12329,12559,12842,13134,13389,13649,13889,14141,14397,14698,14983,15283,15580,15891,16161,16454,16793,17088,17379,17678,18007,18329,18689,18994,19363,19705,20028,20392,20785,21155,21553,21962,22377,22813,23237,23681,24098,24561,24999,25456,25926,26372,26842,27315,27765,28288,28768,29283,29787,30311,30827,31338,31887,32412,33004,33552,34082,34635,35234,35801,36356,36921,37556,38177,38778,39417,40016,40616,41280,41880,42485,43137,43764,44445,45088,45759,46484,47235,47931,48601,49322,50071,50843,51632,52393,53161,54008,54851,55672,56514,57429,58274,59226,60149,61092,62015,62949,63949,64926,65948,66958,68062,69124,70183,71224,72315,73361,74504,75625,76800,77948,79114,80243,81334,82517,83730,85026,86278,87553,88837,90151,91511,92804,94112,95463,96866,98245,99676,101127,102557,104049,105552,107111,108675,110240,111882,113576,115332,117046,118831,120647,122395,124220,126025,127860,129705,131664,133601,135590,137577,139564,141625,143765,145815,147975,150154,152334,154479,156652,158940,161267,163671,166009,168423,170921,173460,175936,178503,181110,183707,186429,189179,191906,194635,197390,200290,203132,206028,208876,211858,214886,217965,221146,224325,227458,230632,233940,237307,240533,243847,247194,250772,254190,257667,261166,264806,268427,272025,275732,279482,283245,286972,290833,294797,298852,302914,306936,310979,315216,319538,323811,328195,332460,336959,341412,345995,350650,355251,360085,364947,369741,374772,379825,384825,389948,394992,400131,405347,410699,416096,421613,427071,432701,438514,444341,450352,456360,462582,468778,475093,481515,488113,494839,501691,508642,515715,522778,529822,537139,544543,552092,559383,567076,574877,582758,590558,598545,606851,615215,623576,631989,640391,648990,657662,666500,675464,684452,693560,702859,712098,721656,731069,740819,750682,760753,770876,781088,791314,801695,812507,823273,834189,845055,856111,867290,878592,889782,901481,913312,925193,937312,949515,961716,973855,986460,999154,1012121,1025135,1038599,1052180,1065756,1079436,1093426,1107511,1121880,1136191,1150841,1165647,1180692
1,1,2,3,5,9,10,13,13,15,19,19,20,20,21,22,25,27,27,27,27,30,35,40,45,52,56,61,68,76,82,87,97,106,118,126,133,139,150,160,166,175,181,187,196,202,211,223,230,236,243,247,255,261,266,270,276,279,283,284,290,293,297,302,310,315,323,327,334,343,345,353,358,360,361,369,377,390,400,407,422,434,441,457,472,485,499,513,529,545,558,570,587,609,630,642,664,696,720,737,755,781,807,834,863,896,931,958,988,1020,1049,1069,1099,1130,1162,1185,1224,1270,1305,1333,1366,1410,1444,1472,1505,1544,1577,1608,1641,1673,1699,1738,1771,1809,1847,1888,1921,1963,2003,2053,2090,2143,2208,2266,2352,2406,2465,2531,2591,2665,2731,2787,2858,2921,3002,3061,3145,3212,3295,3367,3426,3506,3586,3667,3752,3826,3904,3991,4047,4128,4209,4282,4355,4437,4513,4591,4660,4750,4826,4898,4965,5038,5117,5187,5265,5332,5424,5496,5563,5633,5693,5773,5847,5924,6000,6082,6177,6260,6343,6426,6506,6605,6693,6793,6882,6976,7073,7158,7245,7339,7462,7568,7675,7785,7892,7987,8083,8188,8290,8397,8527,8632,8740,8861,8971,9072,9201,9318,9442,9568,9701,9850,9976,10107,10284,10425,10583,10747,10895,11079,11248,11438,11602,11803,11982,12161,12342,12553,12744,12962,13184,13401,13610,13830,14025,14217,14424,14634,14894,15136,15372,15614,15864,16110,16353,16605,16850,17104,17364,17629,17916,18194,18484,18756,19072,19382,19676,19992,20333,20628,20985,21316,21649,22048,22441,22866,23260,23647,24055,24436,24844,25265,25696,26145,26583,27014,27462,27903,28364,28831,29328,29833,30323,30838,31351,31890,32432,32950,33460,34008,34559,35121,35678,36190,36796,37408,37996,38633,39255,39876,40510,41155,41804,42441,43127,43791,44408,45137,45830,46552,47281,47988,48759,49478,50200,50915,51724,52493,53258,54038,54828,55612,56415,57270,58097,58934,59709,60559,61465,62321,63188,64154,64987,65820,66741,67624,68517,69464,70436,71428,72412,73349,74412,75398,76402,77465,78530,79680,80752,81874,83030,84225,85404,86545,87809,89030,90274,91483,92732,94016,95365,96731,98050,99466,100902,102317,103670,105097,106557,108133,109678,111130,112759,114296,115857,117452,119102,120700,122446,124204,125884,127599,129378,131176,132954,134803,136687,138586,140606,142611,144662,146701,148784,150896,153052,155275,157570,159855,162170,164548,166963,169367,171786,174293,176758,179401,182073,184754,187521,190377,193175,196010,198823,201750,204586,207439,210391,213432,216484,219677,222780,225917,229075,232266,235485,238815,242217,245638,249098,252658,256307,259935,263629,267348,271127,274912,278735,282608,286568,290642,294850,299063,303314,307566,311920,316229,320784,325413,330061,334741,339491,344350,349144,354122,359150,364119,369116,374237,379417,384780,390116,395570,400974,406594,412221,417866,423491,429146,435063,440941,446908,452920,459083,465330,471684,478043,484410
1,1,1,1,1,3,5,7,8,9,9,13,14,17,19,25,29,33,35,41,46,52,56,62,73,82,86,98,104,112,124,137,151,168,177,187,204,215,223,238,254,269,293,306,320,331,354,386,405,430,462,486,516,556,578,605,632,673,713,749,790,837,887,935,977,1028,1092,1144,1203,1259,1328,1402,1456,1532,1590,1671,1752,1819,1903,1992,2071,2151,2230,2303,2397,2482,2568,2646,2735,2825,2906,2993,3069,3160,3256,3355,3442,3536,3617,3712,3794,3878,3958,4049,4149,4265,4354,4456,4571,4672,4788,4905,5001,5134,5257,5382,5511,5644,5755,5887,6031,6164,6310,6438,6574,6701,6831,6957,7078,7212,7322,7424,7556,7687,7830,7943,8060,8196,8317,8450,8568,8699,8843,8969,9091,9237,9357,9478,9601,9735,9866,9994,10139,10267,10398,10534,10683,10813,10946,11063,11211,11367,11527,11662,11815,11968,12105,12281,12436,12595,12774,12926,13119,13294,13458,13648,13833,13980,14171,14353,14557,14734,14930,15149,15361,15576,15776,16004,16239,16433,16669,16877,17100,17317,17530,17761,17989,18221,18445,18678,18927,19190,19422,19693,19925,20186,20463,20716,21031,21309,21569,21843,22118,22393,22684,22974,23269,23556,23846,24158,24485,24811,25143,25465,25774,26089,26442,26789,27141,27511,27893,28292,28647,29050,29435,29864,30237,30652,31056,31454,31893,32353,32844,33282,33765,34231,34724,35260,35788,36300,36840,37379,37933,38480,39058,39682,40254,40823,41411,42045,42710,43327,43954,44602,45305,45988,46689,47355,48083,48833,49561,50295,51014,51755,52499,53283,54083,54823,55591,56400,57204,58036,58915,59788,60728,61676,62594,63529,64465,65443,66333,67375,68443,69477,70593,71637,72670,73764,74892,76005,77179,78413,79516,80721,81897,83161,84413,85707,86975,88261,89609,91028,92355,93732,95126,96577,98071,99566,101090,102518,103980,105526,107057,108547,110166,111816,113507,115199,116884,118606,120324,122134,124023,125825,127607,129505,131409,133242,135284,137298,139414,141466,143637,145748,147993,150234,152475,154630,156837,159128,161420,163773,166199,168657,171221,173586,176074,178604,181221,183811,186474,189178,191842,194602,197436,200218,203035,205978,208997,211916,214979,217980,221008,224245,227383,230558,233628,236893,240137,243477,246828,250164,253562,257010,260411,264020,267561,271153,274877,278608,282343,286116,289990,293986,298042,302003,305969,310227,314434,318654,322921,327247,331738,336111,340632,345085,349639,354169,358864,363587,368256,372979,377908,382752,387748,392808,397881,402986,408274,413605,419142,424617,430191,436033,441695,447401,453262,459125,465153,471271,477440,483636,490051,496306,502851,509292,515948,522785,529554,536412,543392,550594,557820,565114,572447,579958,587379,594821,602418,609965,617673,625674,633731,641969,650534,659075,667612,676353,685288,694294,703248,712520,721790,731217,740824,750577,760344,770276,780480,790643,801086,811661,822455,833180,844034,855121,866315,877644,888940,900187,911798,923446,935290,947239,959282,971494,983903,996437,1008836,1021453,1034168,1046869,1059931,1073094,1086346,1099615,1112945
1,1,1,1,1,4,4,5,8,9,12,13,15,20,23,30,32,39,46,54,64,73,84,94,101,115,127,137,145,153,161,174,179,191,209,216,228,237,248,260,270,280,291,304,316,322,335,349,367,381,393,415,438,460,479,506,525,545,565,588,611,646,674,706,730,756,787,818,847,878,922,953,998,1049,1094,1148,1202,1245,1309,1359,1407,1462,1513,1576,1632,1677,1734,1795,1853,1913,1992,2058,2114,2185,2247,2320,2399,2465,2531,2626,2699,2768,2830,2906,2984,3063,3151,3237,3312,3427,3496,3580,3658,3739,3844,3949,4067,4184,4284,4384,4509,4650,4781,4912,5032,5137,5263,5414,5542,5682,5818,5941,6089,6226,6369,6493,6644,6778,6939,7092,7261,7411,7570,7727,7888,8043,8227,8368,8535,8682,8859,9044,9213,9376,9531,9724,9905,10078,10250,10428,10598,10786,10959,11148,11315,11511,11700,11893,12061,12244,12417,12629,12830,13038,13205,13391,13584,13737,13898,14094,14272,14455,14623,14777,14949,15124,15315,15480,15641,15803,15962,16138,16306,16471,16642,16813,16980,17159,17350,17524,17741,17929,18135,18322,18521,18714,18912,19161,19414,19642,19899,20164,20421,20679,20928,21206,21515,21791,22056,22376,22665,22991,23285,23585,23915,24232,24526,24830,25135,25462,25776,26096,26466,26798,27145,27484,27838,28194,28546,28942,29339,29730,30120,30522,30933,31339,31734,32141,32578,32985,33390,33868,34327,34761,35246,35708,36190,36688,37155,37639,38187,38712,39241,39780,40294,40873,41401,41957,42485,43030,43606,44156,44764,45370,45933,46503,47168,47809,48404,49014,49676,50302,50928,51594,52313,52952,53669,54331,55031,55743,56460,57164,57888,58579,59299,60061,60878,61663,62486,63281,64089,64877,65714,66548,67462,68312,69176,70058,70935,71780,72746,73665,74561,75489,76450,77433,78415,79424,80446,81446,82494,83525,84566,85672,86760,87845,88966,90111,91282,92479,93665,94899,96150,97372,98666,100000,101290,102682,104069,105503,106921,108342,109830,111275,112721,114227,115752,117381,118977,120626,122184,123836,125527,127228,128970,130618,132421,134194,136062,137940,139717,141543,143482,145413,147346,149340,151362,153441,155358,157386,159459,161553,163662,165890,168052,170121,172404,174800,177062,179476,182024,184452,187011,189461,192072,194653,197198,199838,202614,205437,208169,211139,213972,216786,219642,222553,225443,228346,231340,234343,237481,240546,243703,246809,250011,253238,256546,259806,263152,266476,269964,273439,276997,280738,284322,287971,291581,295351,299142,303086,306990,310922,314865,318902,323035,327166,331362,335717,340079,344466,348951,353411,358010,362584,367158,371886,376665,381465,386267,391137,396029,401068,406132,411330,416402,421713,427082,432545,437945,443422,448970,454549,460332,466242,472161,478119,484354,490555,496935,503447,510031,516598,523376,530343,537373,544605,551867,559089,566432,574014,581652,589386,597329,605315,613285,621522,629827,638247,646673,655448,664082,672873,681900,690963,700121,709534,718949,728444,737961,747681,757745,767824,777836,788044,798403,808899,819431
1,1,1,1,4,8,11,12,14,14,14,14,16,20,24,28,40,50,57,63,70,72,75,80,82,87,98,109,116,124,141,148,159,170,177,184,195,202,215,218,226,234,239,251,258,268,281,289,295,305,317,325,332,337,349,361,373,398,411,434,447,462,484,501,522,545,563,591,621,648,689,724,756,807,836,872,908,947,986,1016,1053,1098,1142,1182,1227,1272,1302,1337,1368,1402,1445,1483,1527,1579,1626,1668,1710,1755,1802,1859,1912,1965,2028,2088,2143,2190,2260,2326,2394,2467,2553,2623,2705,2780,2861,2934,3016,3080,3139,3212,3295,3358,3428,3505,3584,3651,3722,3786,3865,3934,4014,4095,4163,4241,4310,4393,4480,4551,4631,4710,4789,4877,4971,5041,5113,5201,5304,5394,5486,5600,5703,5838,5939,6054,6165,6271,6387,6503,6624,6761,6883,7023,7142,7293,7420,7554,7692,7851,8008,8170,8324,8481,8620,8789,8929,9084,9286,9443,9631,9804,9984,10153,10333,10518,10695,10884,11080,11250,11444,11646,11831,12045,12241,12453,12646,12868,13087,13298,13520,13749,13960,14180,14406,14607,14819,15058,15307,15552,15776,16025,16265,16505,16776,17042,17312,17603,17877,18161,18463,18748,19031,19353,19677,20012,20335,20648,20998,21351,21673,22020,22380,22731,23090,23459,23836,24233,24622,25028,25442,25844,26239,26653,27063,27459,27858,28293,28736,29191,29610,30068,30551,30961,31439,31873,32310,32763,33248,33690,34098,34559,35026,35542,36067,36519,37055,37555,38073,38574,39071,39617,40206,40761,41320,41894,42507,43066,43675,44268,44916,45601,46242,46892,47553,48172,48858,49498,50237,50885,51581,52300,53007,53735,54502,55223,55979,56709,57485,58208,58944,59765,60558,61317,62119,62937,63773,64600,65431,66328,67191,68043,68945,69901,70876,71785,72714,73683,74691,75707,76707,77795,78897,79983,81018,82142,83302,84476,85633,86832,88041,89208,90448,91710,92977,94250,95590,96866,98205,99533,100842,102280,103666,105088,106577,108084,109547,111031,112556,114058,115585,117198,118873,120550,122298,123921,125624,127296,129081,130875,132685,134445,136416,138244,140109,141978,143975,145909,147958,150084,152152,154212,156348,158504,160789,162950,165266,167483,169745,172087,174465,176895,179349,181818,184390,186904,189399,191957,194663,197327,199989,202578,205365,208205,211051,213907,216755,219730,222779,225895,229052,232288,235543,238883,242306,245587,248957,252387,255966,259568,263164,266841,270583,274383,278270,282246,286263,290339,294646,298978,303312,307781,312147,316674,321315,326063,330835,335623,340495,345397,350526,355688,361063,366413,371730,377190,382682,388256,393984,399857,405714,411588,417539,423555,429756,435972,442391,448790,455284,461901,468326,474894,481638,488432,495450,502496,509552,516791,524043,531699,539210,546787,554428,562098,569954,577820,585804,593831,602164,610561,618920,627375,636012,644687,653641,662495,671737,680915,690192,699586,709198,718756,728448,738277,748287,758405,768674,779178,789735,800504,811274,822347,833540,845015,856478,867983,879773,891677,903740
1,1,1,1,2,5,10,10,12,15,15,21,23,25,26,33,35,40,48,57,60,62,69,74,84,91,100,110,120,133,143,155,160,169,176,188,190,201,208,222,229,237,246,254,263,274,283,294,304,317,321,334,345,367,385,398,418,439,462,484,513,542,559,584,615,645,676,704,731,762,787,831,875,916,951,990,1028,1063,1104,1139,1180,1220,1253,1290,1328,1373,1407,1446,1479,1527,1566,1613,1655,1702,1738,1778,1829,1884,1944,2005,2052,2115,2164,2212,2280,2356,2441,2516,2574,2645,2727,2801,2864,2928,3011,3077,3164,3246,3321,3410,3509,3583,3649,3730,3812,3891,3971,4048,4120,4175,4244,4317,4385,4457,4516,4591,4687,4769,4853,4923,4995,5075,5164,5241,5322,5390,5462,5532,5608,5692,5788,5871,5960,6038,6116,6194,6290,6359,6442,6523,6618,6711,6801,6889,6986,7090,7181,7281,7381,7486,7580,7668,7762,7861,7976,8075,8191,8295,8402,8516,8630,8745,8857,8997,9137,9287,9441,9602,9777,9939,10098,10258,10416,10604,10763,10949,11123,11310,11508,11707,11901,12089,12267,12462,12667,12881,13074,13278,13495,13697,13932,14175,14400,14638,14868,15139,15373,15596,15895,16186,16443,16717,16980,17280,17564,17859,18174,18471,18803,19111,19400,19721,20057,20375,20730,21096,21462,21833,22172,22590,22963,23366,23743,24130,24546,24927,25319,25730,26133,26597,27037,27509,27923,28395,28859,29341,29832,30298,30754,31242,31756,32227,32735,33263,33802,34310,34820,35318,35884,36399,36915,37449,37988,38562,39150,39713,40298,40888,41496,42094,42663,43310,43937,44598,45256,45916,46531,47225,47941,48596,49275,50011,50718,51422,52150,52867,53638,54445,55233,56046,56892,57734,58642,59599,60543,61509,62464,63565,64604,65646,66716,67864,69026,70205,71394,72569,73774,74989,76281,77605,78851,80106,81481,82800,84212,85564,86926,88356,89758,91150,92644,94108,95584,97140,98659,100252,101829,103468,105130,106810,108472,110207,111927,113640,115420,117265,119126,121098,123063,124972,126998,129093,131199,133327,135455,137668,139940,142195,144481,146875,149295,151748,154299,156874,159476,162094,164670,167374,170084,172793,175536,178345,181115,183986,186893,189823,192690,195683,198715,201829,204965,208070,211131,214276,217554,220785,223978,227325,230692,234055,237597,241147,244699,248343,251981,255714,259490,263419,267342,271305,275332,279373,283527,287848,292108,296567,301086,305540,310039,314666,319250,323955,328677,333503,338353,343377,348556,353642,358862,364157,369561,375100,380680,386233,391937,397589,403411,409423,415526,421607,427686,433843,440194,446602,453186,459732,466397,473103,480089,486995,493973,501030,508276,515770,523229,530681,538444,546267,554000,561918,569974,578312,586630,595054,603461,612056,620777,629624,638671,647620,656844,666208,675513,685086,694783,704320,714192,724076,734161,744381,754767,765298,775887,786483,797343,808209,819212,830287,841600,853141,864762,876418,888202,900236,912312,924473,936921,949551,962405,975463,988292,1001439,1014646,1028041,1041691,1055551,1069577
1,1,1,1,1,1,2,3,5,5,5,6,7,10,13,19,24,24,26,35,42,50,56,67,71,82,88,99,107,117,130,136,143,149,158,170,181,192,204,217,228,235,242,252,262,281,291,304,317,325,340,359,375,395,408,436,454,471,499,517,543,574,591,610,628,645,671,683,703,723,743,769,788,815,842,870,901,923,949,973,1000,1031,1069,1106,1137,1184,1218,1255,1295,1351,1397,1445,1482,1527,1572,1617,1667,1694,1739,1775,1818,1855,1896,1939,1982,2035,2078,2121,2181,2236,2286,2339,2404,2480,2549,2612,2664,2732,2801,2872,2961,3021,3106,3181,3256,3338,3443,3526,3613,3700,3791,3884,3968,4046,4110,4200,4289,4366,4472,4572,4684,4770,4847,4932,5035,5110,5189,5279,5363,5449,5526,5604,5679,5755,5843,5925,6000,6074,6148,6234,6321,6385,6454,6535,6611,6701,6790,6876,6976,7077,7179,7291,7391,7495,7625,7741,7855,7970,8099,8235,8389,8536,8707,8872,9049,9241,9414,9577,9764,9943,10146,10332,10508,10725,10933,11174,11426,11672,11925,12167,12401,12662,12909,13197,13454,13732,14010,14274,14563,14852,15130,15422,15729,16045,16337,16612,16921,17211,17497,17813,18105,18407,18706,18992,19294,19581,19882,20174,20501,20791,21112,21446,21758,22065,22371,22658,22987,23313,23686,24053,24405,24762,25126,25555,25943,26368,26769,27176,27623,28062,28544,28991,29433,29966,30429,30951,31465,31971,32484,32980,33478,34021,34553,35106,35611,36121,36729,37311,37867,38414,39028,39598,40192,40806,41459,42065,42680,43341,44041,44729,45414,46119,46767,47493,48293,49014,49774,50595,51403,52238,53111,53944,54848,55762,56671,57575,58488,59445,60420,61457,62527,63578,64644,65767,66905,68063,69255,70312,71453,72567,73719,74883,76062,77297,78513,79736,80978,82258,83673,84982,86249,87513,88799,90174,91554,92934,94381,95827,97304,98729,100213,101742,103323,104902,106574,108265,109951,111655,113348,115034,116751,118498,120262,122096,124043,125917,127889,129822,131877,133898,136094,138271,140445,142724,144925,147167,149516,151896,154254,156809,159368,161859,164327,166875,169492,172178,174968,177563,180323,183153,185932,188772,191658,194537,197425,200453,203590,206660,209751,212916,216147,219361,222581,225895,229253,232632,236015,239482,242986,246504,250140,253747,257356,261092,264829,268704,272493,276392,280339,284337,288385,292568,296858,301182,305630,309936,314332,318836,323317,327887,332566,337377,342195,347140,352069,357243,362316,367260,372419,377516,382797,388177,393543,398924,404518,410060,415745,421378,427307,433103,439218,445244,451161,457359,463717,470055,476413,482904,489596,496194,503079,510021,516922,523903,530996,538112,545560,553008,560474,568309,576221,584046,592121,600359,608529,616868,625194,633866,642457,651278,660142,668983,678172,687316,696619,706007,715529,725173,735078,745039,755107,765273,775692,786072,796615,807372,818010,829008,839925,851096,862328,873705,885267,896992,908805,920736,932918,945151,957514,970068,982874,995606,1008610,1021626,1034844,1048280,1061601
1,1,1,1,1,1,1,1,2,2,4,8,8,9,9,9,9,9,9,9,9,9,13,16,20,23,27,32,37,41,44,50,64,77,89,99,107,123,130,145,158,170,187,197,211,227,245,264,275,287,299,315,339,358,378,401,417,437,455,477,495,512,548,577,609,639,663,683,717,745,773,801,838,875,913,946,986,1025,1063,1106,1142,1181,1227,1277,1320,1374,1429,1478,1529,1583,1635,1691,1750,1796,1848,1899,1958,2007,2060,2118,2181,2227,2277,2328,2380,2432,2477,2534,2582,2632,2681,2726,2784,2820,2868,2907,2945,2981,3022,3065,3091,3145,3185,3243,3292,3333,3382,3415,3453,3495,3545,3585,3641,3676,3717,3761,3808,3861,3911,3960,4006,4056,4105,4166,4227,4275,4330,4393,4461,4524,4596,4661,4722,4795,4874,4957,5020,5101,5199,5281,5365,5462,5551,5647,5746,5817,5908,6006,6093,6192,6283,6382,6479,6576,6668,6768,6860,6955,7034,7126,7221,7307,7394,7507,7619,7731,7824,7934,8071,8203,8320,8472,8613,8736,8880,9034,9194,9360,9496,9673,9832,9993,10175,10373,10566,10748,10931,11122,11290,11497,11708,11945,12152,12373,12577,12801,13004,13236,13456,13662,13856,14065,14342,14589,14799,15046,15307,15582,15817,16079,16330,16625,16892,17201,17496,17800,18085,18412,18729,19052,19380,19716,20029,20370,20704,21091,21462,21798,22145,22496,22871,23250,23650,24036,24428,24857,25271,25667,26120,26525,26952,27404,27869,28302,28752,29186,29676,30133,30613,31091,31538,32026,32502,32973,33474,33950,34402,34916,35444,35983,36448,36918,37412,37911,38428,38981,39505,40006,40586,41074,41625,42177,42739,43255,43800,44363,44925,45497,46043,46603,47181,47798,48369,48997,49655,50310,50993,51673,52353,53074,53763,54438,55122,55900,56654,57419,58245,58980,59756,60496,61261,62115,62935,63756,64573,65433,66264,67131,67956,68875,69775,70688,71619,72575,73521,74527,75540,76569,77633,78704,79786,80902,82024,83201,84387,85596,86829,88134,89446,90795,92149,93520,94910,96350,97852,99406,100979,102534,104160,105803,107439,109170,110853,112605,114354,116193,118030,119885,121666,123550,125524,127534,129453,131269,133204,135213,137261,139277,141400,143529,145683,147823,150068,152336,154528,156848,159089,161370,163724,166114,168482,170863,173291,175723,178190,180709,183194,185738,188336,190955,193580,196286,198926,201707,204434,207273,210046,212853,215701,218646,221614,224494,227462,230405,233498,236698,239814,242985,246263,249552,252912,256406,259856,263277,266812,270375,273959,277615,281486,285333,289214,293104,297144,301204,305382,309550,313823,318072,322444,326808,331291,335728,340305,344997,349654,354397,359187,364095,369032,374154,379333,384423,389718,395010,400314,405727,411367,416994,422742,428676,434602,440639,446772,452890,459250,465516,471898,478376,484977,491642,498386,505392,512395,519631,526919,534279,541721,549391,557013,564625,572520,580534,588743,597077,605546,613874,622438,631058,639721,648633,657616,666759,675978,685192,694611,703846,713214
1,1,1,1,1,1,2,4,5,6,10,14,15,16,16,19,27,34,37,42,47,55,65,70,76,84,90,94,102,104,109,116,125,134,147,153,157,161,170,177,185,193,199,206,210,218,223,226,230,238,242,252,258,260,269,277,286,292,298,304,308,315,320,324,333,338,344,352,363,370,375,380,394,402,407,416,422,436,448,454,459,465,470,484,493,510,521,533,548,563,573,596,618,638,657,672,699,725,743,775,802,827,859,883,921,949,982,1025,1061,1091,1143,1192,1239,1283,1325,1369,1429,1483,1520,1581,1640,1711,1750,1800,1850,1902,1958,2010,2066,2096,2148,2201,2259,2306,2351,2402,2449,2504,2558,2610,2657,2724,2782,2841,2905,2982,3034,3094,3156,3205,3270,3330,3394,3447,3507,3566,3620,3676,3735,3785,3829,3877,3930,3980,4040,4092,4129,4179,4228,4276,4321,4366,4415,4459,4510,4588,4646,4723,4783,4827,4900,4971,5054,5117,5204,5268,5365,5435,5528,5633,5730,5828,5924,6027,6130,6242,6358,6460,6580,6685,6778,6891,6974,7082,7191,7322,7433,7523,7657,7762,7904,8033,8144,8266,8405,8544,8683,8842,8987,9134,9260,9395,9553,9685,9840,9996,10188,10369,10534,10725,10915,11127,11338,11537,11753,11990,12221,12455,12702,12966,13205,13493,13758,14064,14329,14614,14929,15225,15518,15847,16197,16548,16901,17302,17691,18102,18514,18898,19331,19750,20168,20572,21027,21426,21860,22303,22744,23184,23652,24085,24535,25004,25430,25880,26327,26798,27311,27801,28261,28731,29262,29802,30337,30866,31413,31941,32473,33072,33600,34206,34797,35392,35989,36603,37238,37826,38465,39116,39796,40463,41193,41878,42566,43231,43908,44663,45369,46140,46862,47618,48382,49157,50019,50811,51683,52510,53373,54256,55172,56025,56975,57901,58772,59691,60637,61601,62556,63552,64570,65579,66578,67573,68593,69595,70630,71675,72719,73786,74871,75941,77029,78097,79250,80437,81586,82765,83929,85127,86353,87586,88836,90054,91342,92674,93998,95275,96682,98054,99542,101030,102457,103979,105524,107012,108593,110186,111789,113444,115105,116773,118471,120209,121914,123647,125343,127051,128854,130669,132489,134379,136271,138091,140005,141999,143951,145911,147898,150028,152073,154196,156295,158451,160606,162874,165037,167373,169724,172055,174487,176969,179367,181863,184435,187044,189589,192205,194836,197496,200116,202822,205542,208363,211227,214094,217022,219864,222842,225771,228899,231971,235106,238267,241504,244784,248143,251521,254901,258462,261997,265651,269348,273016,276836,280656,284501,288286,292234,296195,300292,304384,308545,312777,317023,321303,325778,330177,334532,338971,343450,347940,352482,357105,361766,366656,371557,376456,381260,386247,391254,396257,401544,406814,412183,417683,423181,428767,434565,440334,446266,452075,458065,464076,470115,476348,482660,489012,495434,501923,508375,515055,521632,528453,535412,542324,549382,556561,563820,571144,578469,586026,593827,601583,609490,617358,625221,633347,641486
1,1,1,3,7,7,8,13,16,19,24,28,30,38,42,51,60,73,83,90,94,108,121,128,138,153,163,175,179,189,197,205,213,223,231,242,253,256,269,282,296,317,326,337,349,361,372,389,402,414,426,440,456,473,492,498,515,531,548,569,584,615,639,654,668,682,701,730,754,777,792,808,825,839,857,875,905,930,953,984,1013,1043,1074,1106,1142,1185,1225,1266,1313,1357,1403,1451,1488,1522,1562,1612,1667,1717,1758,1823,1860,1906,1959,2001,2056,2109,2151,2198,2263,2314,2375,2423,2480,2536,2587,2644,2698,2760,2817,2883,2965,3033,3104,3176,3259,3335,3424,3517,3608,3689,3774,3847,3952,4055,4133,4222,4303,4374,4469,4554,4656,4759,4863,4947,5046,5144,5247,5354,5455,5570,5676,5780,5888,6008,6107,6221,6338,6447,6550,6674,6790,6903,7012,7112,7233,7352,7470,7587,7721,7851,7967,8082,8187,8328,8476,8615,8743,8903,9048,9192,9356,9501,9672,9824,9997,10167,10308,10452,10600,10758,10921,11087,11263,11429,11594,11765,11935,12093,12238,12405,12594,12761,12915,13090,13283,13458,13614,13773,13949,14096,14273,14438,14647,14810,14997,15179,15365,15535,15701,15872,16045,16220,16389,16562,16761,16939,17114,17281,17457,17626,17823,18039,18226,18431,18610,18814,19007,19179,19389,19591,19811,20046,20248,20450,20623,20812,21010,21235,21443,21660,21890,22114,22336,22523,22726,22929,23140,23367,23582,23799,24041,24270,24531,24777,24995,25244,25487,25766,26040,26297,26550,26819,27060,27313,27569,27864,28123,28403,28665,28919,29162,29444,29721,29995,30274,30566,30855,31154,31463,31739,32034,32325,32638,32942,33236,33553,33891,34206,34543,34905,35231,35576,35888,36250,36603,36971,37352,37750,38112,38474,38839,39235,39623,40003,40409,40796,41198,41589,42017,42426,42817,43284,43702,44160,44603,45077,45519,45983,46475,46941,47404,47886,48395,48839,49301,49762,50249,50710,51190,51713,52309,52828,53352,53917,54444,54964,55576,56183,56821,57455,58086,58703,59339,59963,60679,61329,61958,62625,63340,64073,64820,65574,66371,67142,67963,68786,69661,70523,71393,72285,73218,74145,75138,76093,77120,78110,79068,80101,81201,82249,83332,84460,85573,86761,87961,89091,90237,91407,92703,93915,95207,96446,97768,99076,100396,101656,102975,104340,105719,107084,108389,109778,111147,112577,113909,115387,116831,118340,119883,121503,123065,124626,126267,127912,129542,131259,133016,134749,136617,138466,140356,142174,144151,146165,148200,150212,152321,154418,156581,158631,160742,162941,165105,167352,169621,171887,174209,176646,178988,181423,183863,186329,188897,191425,193860,196456,199097,201802,204550,207306,210125,212874,215750,218644,221560,224595,227686,230871,233927,237138,240379,243757,247181,250717,254180,257740,261340,264954,268654,272341,276092,279964,283844,287810,291837,295867,299925,304087,308342,312565,316941,321224,325642,330015,334423,338991,343699,348240,352890,357644,362431,367316,372337,377458,382453,387552,392722
1,1,1,1,5,7,8,9,11,16,22,25,28,31,38,46,48,56,63,68,75,81,88,100,112,122,132,140,146,159,170,180,187,202,206,210,217,224,230,240,244,253,268,282,287,299,306,317,325,332,339,344,352,362,371,389,401,412,423,432,442,463,476,488,505,514,523,544,563,588,611,635,658,682,703,722,746,763,794,814,834,858,881,904,927,941,961,981,1008,1030,1055,1070,1085,1107,1127,1142,1164,1174,1198,1211,1230,1249,1265,1287,1312,1330,1364,1390,1415,1442,1475,1501,1543,1582,1608,1644,1692,1737,1772,1820,1860,1908,1968,2040,2108,2150,2225,2279,2340,2408,2474,2554,2615,2680,2756,2826,2896,2974,3050,3131,3218,3307,3387,3471,3550,3649,3737,3828,3934,4029,4117,4210,4312,4406,4527,4623,4718,4809,4932,5046,5167,5281,5394,5539,5661,5761,5879,5998,6110,6238,6353,6465,6580,6707,6827,6971,7113,7238,7391,7532,7687,7814,7950,8106,8256,8404,8557,8722,8877,9018,9165,9307,9431,9574,9744,9923,10098,10251,10426,10580,10728,10909,11064,11230,11388,11564,11713,11848,11997,12161,12335,12465,12630,12769,12903,13064,13222,13391,13543,13695,13866,14025,14211,14370,14516,14674,14861,15025,15182,15345,15547,15740,15935,16135,16355,16567,16819,17059,17293,17502,17744,17986,18212,18439,18690,18958,19195,19452,19736,20029,20326,20608,20898,21190,21483,21770,22100,22429,22744,23068,23388,23748,24076,24428,24809,25166,25503,25898,26298,26728,27153,27588,28047,28494,28919,29338,29772,30223,30686,31182,31667,32194,32714,33227,33728,34283,34820,35403,35962,36517,37080,37668,38285,38869,39509,40137,40740,41367,41931,42544,43181,43831,44447,45078,45715,46386,47050,47716,48409,49153,49843,50542,51222,51897,52631,53405,54165,54896,55679,56500,57367,58204,59014,59932,60845,61758,62639,63551,64488,65514,66495,67491,68500,69558,70622,71620,72716,73866,74949,76029,77070,78179,79362,80503,81687,82873,84068,85353,86595,87841,89041,90300,91638,92991,94381,95723,97095,98485,99771,101182,102665,104187,105707,107269,108746,110335,111925,113590,115205,116887,118641,120476,122273,124042,125793,127616,129477,131266,133193,135113,137096,139110,141043,143067,145143,147173,149272,151383,153604,155847,157922,160127,162390,164635,166915,169194,171620,174086,176527,178949,181484,183958,186592,189190,191782,194387,197015,199746,202511,205328,208184,211022,213909,216873,219945,223072,226249,229381,232555,235851,239135,242499,245946,249245,252665,256202,259877,263482,267191,271055,274969,278919,282941,286949,290967,295131,299253,303493,307744,311964,316341,320870,325291,329914,334627,339323,344116,348989,353876,358804,363871,368999,374125,379373,384578,389906,395358,400785,406247,411791,417337,422938,428511,434303,440118,446006,451950,457928,463878,469802,475700,481933,488134,494308,500627,507194,513641,520137,526791,533499,540307,547253,554249,561487,568618,575845,583184,590621,598077,605591,613276,620972,628779,636756,644900,653109,661444
1,1,1,1,1,3,4,5,6,7,9,12,20,31,42,45,53,61,72,88,101,107,116,129,146,164,186,204,218,233,250,264,283,295,311,328,352,379,395,416,429,442,458,477,490,509,527,559,592,612,642,663,687,707,731,766,799,836,880,904,936,967,1002,1033,1062,1101,1132,1163,1195,1237,1267,1323,1358,1401,1453,1497,1547,1585,1627,1669,1711,1745,1793,1829,1868,1902,1940,1977,2024,2065,2111,2148,2181,2228,2279,2321,2379,2427,2470,2515,2557,2615,2673,2714,2753,2800,2843,2895,2947,3013,3073,3136,3208,3275,3331,3398,3454,3508,3580,3657,3736,3824,3907,3993,4096,4182,4275,4355,4462,4552,4649,4745,4837,4955,5053,5174,5287,5396,5536,5669,5790,5913,6046,6156,6303,6432,6572,6716,6876,7024,7174,7354,7533,7725,7916,8121,8331,8528,8736,8988,9227,9453,9670,9904,10121,10354,10579,10783,11007,11243,11469,11726,11967,12192,12418,12677,12916,13151,13404,13656,13903,14141,14409,14667,14935,15229,15510,15760,16039,16324,16619,16942,17264,17587,17916,18220,18531,18871,19219,19549,19906,20230,20593,20980,21347,21698,22062,22439,22850,23274,23699,24067,24490,24944,25363,25793,26263,26696,27131,27614,28051,28571,29057,29542,30003,30485,30996,31454,31935,32427,32929,33447,33998,34531,35098,35608,36122,36699,37299,37928,38528,39164,39797,40461,41106,41819,42542,43241,43883,44554,45224,45939,46663,47366,48086,48812,49551,50257,51023,51780,52555,53296,54080,54848,55618,56439,57258,58096,58904,59735,60567,61467,62379,63301,64239,65163,66112,67051,68038,69010,70035,70980,72013,73030,74054,75121,76234,77336,78476,79564,80603,81741,82908,84010,85180,86346,87522,88674,89870,91131,92342,93584,94875,96134,97480,98778,100118,101451,102838,104205,105581,107005,108483,109955,111452,112981,114598,116132,117670,119316,120943,122663,124318,126016,127735,129520,131361,133132,134887,136642,138557,140487,142438,144452,146409,148357,150337,152357,154394,156448,158551,160630,162715,164919,167133,169321,171520,173807,176140,178470,180770,183006,185439,187962,190403,192867,195337,197877,200402,202968,205582,208099,210668,213298,216025,218812,221679,224545,227481,230478,233498,236614,239731,242775,245962,249206,252572,255805,259232,262619,266118,269624,273150,276663,280239,283717,287356,290930,294622,298412,302240,306017,309880,313918,317918,321935,325965,330133,334241,338338,342595,346941,351361,355781,360295,364880,369512,374161,378922,383906,388892,393848,398861,403918,409203,414597,420000,425486,430891,436513,442207,448032,453708,459616,465637,471635,477737,484031,490419,496808,503288,509867,516588,523413,530314,537473,544503,551690,558774,566033,573424,580885,588287,595986,603631,611519,619450,627228,635263,643385,651404,659609,667810,676140,684695,693258,701889,710679,719736,728813,737856,747190,756616,765999,775320,784835,794550,804069,813959,823847,833955,843980,854011,864535,875061,885622,896335,907183,918120,929272,940235,951577,962955,974684,986175,998101,1010428,1022513,1034944,1047403,1060224,1073135,1085916,1099153,1112546,1126086,1139641
1,1,1,1,1,3,8,9,12,12,14,15,16,20,26,32,37,45,49,59,67,80,86,95,105,116,121,130,135,144,160,167,177,188,195,203,207,215,222,231,237,242,247,248,255,258,265,270,276,280,284,290,298,308,316,322,332,343,353,371,382,388,397,405,422,444,466,483,501,525,551,574,600,618,637,662,693,724,754,782,807,835,870,898,923,952,977,1002,1034,1062,1089,1116,1146,1179,1209,1243,1281,1312,1335,1363,1407,1443,1481,1518,1560,1599,1632,1668,1706,1751,1801,1846,1891,1932,1968,2014,2065,2109,2160,2218,2277,2334,2387,2458,2494,2551,2611,2673,2725,2795,2838,2902,2943,3005,3060,3126,3187,3234,3282,3317,3364,3414,3461,3511,3554,3606,3653,3709,3763,3831,3884,3942,4015,4080,4137,4208,4283,4348,4420,4490,4548,4613,4670,4744,4802,4866,4962,5023,5098,5154,5219,5280,5370,5436,5482,5567,5627,5692,5778,5822,5895,5955,6014,6089,6157,6219,6286,6345,6420,6486,6555,6625,6708,6790,6856,6948,7024,7122,7201,7284,7362,7461,7549,7636,7711,7791,7881,7970,8037,8128,8213,8300,8391,8494,8608,8722,8814,8940,9047,9159,9261,9358,9458,9576,9695,9807,9919,10042,10169,10275,10381,10492,10602,10717,10836,10948,11050,11161,11262,11394,11480,11571,11679,11781,11870,11954,12044,12118,12196,12281,12363,12433,12525,12608,12682,12745,12823,12900,12992,13060,13126,13204,13260,13339,13400,13471,13540,13603,13673,13749,13820,13883,13941,14014,14064,14114,14177,14238,14298,14359,14427,14484,14558,14617,14679,14742,14824,14896,14973,15048,15112,15195,15259,15350,15432,15501,15583,15673,15762,15839,15929,16016,16089,16193,16279,16377,16482,16580,16674,16776,16860,16955,17040,17166,17269,17387,17500,17601,17717,17830,17960,18091,18227,18360,18497,18623,18760,18900,19032,19197,19364,19505,19640,19788,19943,20102,20248,20433,20627,20807,20980,21162,21352,21525,21686,21901,22086,22293,22494,22753,22970,23181,23403,23628,23837,24051,24285,24522,24773,25033,25262,25476,25715,25960,26206,26452,26712,26951,27205,27473,27738,28023,28300,28526,28803,29075,29390,29689,29997,30292,30604,30916,31321,31642,31974,32308,32673,32973,33329,33668,34018,34372,34707,35102,35479,35890,36258,36647,37028,37441,37864,38283,38676,39093,39505,39905,40332,40738,41136,41560,42050,42496,42927,43424,43887,44390,44873,45351,45882,46391,46948,47476,48013,48542,49128,49666,50227,50738,51344,51905,52480,53114,53731,54341,54962,55575,56186,56832,57514,58163,58825,59500,60180,60845,61568,62248,62926,63612,64341,65093,65813,66567,67367,68158,68929,69739,70589,71467,72370,73247,74120,74990,75885,76800,77698,78711,79644,80667,81668,82710,83663,84686,85734,86792,87862,88928,89997,91120,92290,93435,94607,95814,97104,98390,99670,100977,102314,103625,104958,106346,107766,109196,110675,112147,113644,115120,116673
1,1,3,5,6,8,9,11,13,15,18,24,29,33,37,43,53,63,74,80,85,94,99,105,115,130,137,151,166,181,196,211,221,239,250,268,278,292,300,315,328,342,357,371,388,400,413,418,429,451,459,473,485,498,510,523,542,561,578,598,621,640,659,679,693,715,730,755,775,790,805,825,835,862,876,892,908,933,949,967,1000,1026,1046,1073,1098,1127,1158,1193,1213,1231,1256,1282,1300,1332,1366,1403,1450,1486,1528,1559,1594,1627,1671,1708,1746,1789,1838,1890,1938,1982,2029,2058,2099,2135,2182,2235,2276,2323,2377,2434,2474,2526,2567,2609,2645,2683,2724,2766,2789,2838,2882,2932,2982,3021,3066,3122,3166,3212,3249,3284,3327,3377,3425,3473,3523,3576,3640,3688,3745,3793,3850,3905,3965,4018,4085,4157,4229,4311,4396,4486,4562,4664,4750,4838,4926,5018,5109,5200,5297,5393,5505,5600,5709,5819,5936,6052,6171,6283,6399,6511,6645,6796,6922,7065,7216,7370,7523,7683,7820,7977,8133,8304,8470,8650,8820,8989,9179,9362,9535,9734,9910,10112,10301,10492,10687,10898,11073,11286,11481,11657,11844,12027,12222,12421,12616,12839,13056,13263,13473,13667,13871,14076,14332,14585,14851,15100,15339,15590,15865,16105,16354,16651,16940,17201,17475,17761,18054,18356,18624,18919,19231,19532,19835,20154,20514,20830,21146,21488,21839,22222,22590,22960,23350,23744,24160,24516,24908,25310,25713,26132,26552,26931,27332,27759,28174,28585,29012,29447,29905,30375,30827,31268,31704,32162,32619,33125,33570,34036,34548,35037,35549,36048,36535,37012,37544,38113,38709,39249,39782,40351,40884,41422,41984,42578,43192,43838,44511,45177,45861,46516,47154,47864,48571,49285,50040,50721,51443,52185,52974,53786,54600,55455,56341,57185,58027,58911,59800,60719,61643,62618,63531,64482,65528,66530,67566,68602,69607,70662,71755,72867,73985,75116,76191,77277,78425,79652,80810,82028,83243,84472,85718,86988,88272,89580,90868,92221,93522,94907,96328,97706,99118,100576,102010,103532,105073,106626,108235,109786,111376,113028,114736,116452,118164,119879,121634,123437,125225,127084,128934,130796,132592,134503,136484,138444,140445,142486,144534,146643,148779,150933,153118,155325,157525,159847,162095,164445,166898,169330,171719,174182,176611,179086,181677,184255,186847,189517,192143,194933,197706,200492,203368,206267,209121,211988,214945,217827,220900,224021,227026,230326,233418,236587,239854,243261,246698,250093,253503,256981,260509,264108,267742,271535,275432,279229,283268,287383,291432,295522,299705,303947,308290,312639,317150,321577,326104,330765,335545,340240,345160,350049,355091,360032,365130,370271,375467,380823,386047,391507,396909,402352,408011,413685,419410,425175,431060,437018,443066,449340,455504,461779,468292,474639,481032,487645,494199,500974,507736,514664,521608,528670,535704,542802,550037,557441,564852,572374,580112,587783,595410,603292,611239,619177,627311,635469,643816,652259,660635,669260,677972,686864,695916,704875,713738,722686,731840,741036,750349
1,1,1,1,1,2,3,3,5,5,8,9,11,14,17,17,19,20,21,22,23,27,32,35,38,43,54,65,79,92,108,121,134,145,151,160,175,187,205,215,226,235,243,252,261,278,286,292,305,313,330,338,350,365,380,394,416,428,447,470,497,511,539,555,571,591,614,626,640,665,677,693,714,734,757,777,800,820,843,869,886,915,940,964,989,1014,1038,1069,1090,1123,1167,1209,1241,1285,1312,1339,1382,1422,1456,1495,1533,1576,1606,1637,1685,1731,1762,1803,1848,1898,1939,1983,2031,2081,2131,2177,2221,2266,2311,2368,2421,2477,2532,2592,2639,2691,2741,2790,2843,2908,2985,3077,3143,3214,3275,3350,3418,3493,3567,3652,3731,3830,3901,3995,4089,4179,4265,4360,4450,4537,4652,4762,4851,4978,5091,5211,5335,5450,5583,5680,5793,5916,6046,6193,6335,6481,6604,6738,6868,6993,7121,7277,7433,7592,7734,7893,8045,8189,8361,8504,8682,8824,9001,9148,9276,9407,9565,9706,9857,10005,10155,10294,10442,10578,10768,10914,11068,11210,11344,11496,11645,11799,11958,12123,12279,12424,12564,12739,12917,13099,13288,13464,13674,13870,14078,14246,14448,14646,14855,15064,15284,15485,15734,15952,16186,16433,16668,16922,17179,17425,17683,17953,18209,18500,18785,19050,19338,19614,19921,20172,20491,20795,21106,21435,21750,22045,22363,22674,23021,23377,23713,24030,24373,24710,25028,25386,25745,26081,26412,26749,27083,27416,27734,28083,28460,28805,29185,29593,29954,30331,30734,31124,31518,31913,32298,32698,33113,33587,34030,34481,34951,35386,35887,36408,36949,37435,37942,38478,38976,39502,39987,40534,41081,41604,42156,42755,43321,43886,44455,45040,45635,46214,46881,47458,48093,48707,49324,49987,50651,51329,52026,52713,53397,54107,54843,55514,56267,57022,57803,58558,59396,60188,60995,61814,62582,63457,64264,65100,65933,66797,67684,68536,69452,70379,71311,72260,73145,74158,75133,76085,77030,78051,79007,80014,81053,82129,83146,84177,85298,86405,87449,88600,89690,90848,92018,93199,94379,95516,96711,97879,99106,100343,101572,102794,104095,105298,106591,107990,109236,110575,111927,113288,114672,116045,117501,118985,120480,121985,123445,124950,126467,128037,129563,131112,132731,134287,135908,137518,139148,140755,142559,144237,145914,147603,149374,151192,153013,154908,156850,158832,160790,162695,164693,166666,168744,170782,172868,174979,177124,179322,181494,183745,186075,188381,190807,193182,195568,198023,200594,203102,205753,208381,211084,213847,216695,219559,222412,225263,228137,231122,234151,237262,240341,243412,246599,249822,253109,256391,259750,263164,266539,269977,273512,277073,280730,284463,288089,291874,295815,299730,303741,307786,311895,316016,320190,324368,328584,332977,337423,341889,346446,351009,355642,360310,365043,369824,374614,379496,384533,389602,394701,399921,405223,410553,415963,421521,427028,432698,438387,444248,450127,456138,462222,468342,474623,481072,487639,494252,500954,507745,514660,521630,528723,535898,543187,550365,557842
1,1,2,2,5,5,8,10,13,16,21,26,32,42,48,57,62,77,85,94,101,112,123,135,145,158,171,183,198,209,225,234,241,248,262,270,279,291,306,316,324,331,340,351,362,369,381,391,403,413,417,424,434,444,455,473,475,483,499,511,522,537,552,566,582,596,613,626,642,657,672,689,708,727,755,786,818,849,896,937,970,1018,1062,1101,1153,1196,1248,1304,1367,1442,1513,1613,1698,1783,1887,1990,2098,2200,2311,2406,2532,2664,2761,2886,3021,3178,3304,3430,3564,3696,3839,3981,4124,4285,4468,4632,4800,4980,5167,5343,5529,5730,5931,6124,6310,6514,6728,6964,7181,7401,7631,7832,8043,8271,8522,8766,9032,9286,9539,9797,10045,10316,10598,10872,11188,11463,11735,12019,12298,12647,12917,13232,13559,13898,14252,14649,15031,15445,15829,16228,16665,17110,17538,18020,18466,18956,19436,19930,20463,20988,21525,22059,22596,23102,23676,24258,24884,25506,26108,26745,27351,27989,28612,29259,29929,30585,31251,31933,32561,33199,33896,34569,35249,35946,36628,37382,38085,38793,39478,40204,40958,41653,42315,43050,43753,44530,45314,46118,46873,47671,48474,49339,50160,51107,52021,52947,53870,54781,55684,56638,57608,58624,59606,60611,61714,62823,63877,65003,66165,67238,68325,69430,70504,71647,72854,74015,75180,76351,77561,78812,80062,81333,82631,83885,85137,86482,87805,89199,90545,91888,93317,94766,96191,97654,99234,100774,102328,104006,105617,107294,109007,110785,112557,114294,116054,117877,119673,121557,123464,125382,127270,129304,131285,133262,135298,137352,139407,141545,143712,145802,147936,150112,152368,154583,156859,159110,161412,163646,166019,168296,170765,173125,175589,178069,180558,183042,185621,188192,190836,193468,196093,198848,201566,204399,207131,210023,212867,215830,218799,221873,225000,228133,231293,234536,237784,240979,244287,247565,250895,254437,257975,261632,265298,268906,272554,276386,280164,284064,287965,291947,295824,299878,303855,308013,312154,316350,320655,324848,329218,333683,338181,342618,347244,351826,356493,361108,365744,370412,375262,380152,385167,390097,395118,400273,405310,410561,415918,421210,426591,432149,437725,443323,449011,454824,460630,466433,472351,478474,484543,490639,496924,503250,509585,516060,522567,529185,535692,542327,549123,556053,563066,570146,577215,584336,591606,598917,606267,613747,621197,628883,636706,644675,652480,660679,668796,677090,685455,694028,702661,711507,720149,729050,738072,747066,756442,765619,774838,784228,793644,803246,813058,822971,832758,842821,853011,863270,873669,884354,895148,906084,916836,927793,938661,950158,961839,973339,985003,996971,1009017,1021137,1033460,1045719,1058255,1070977,1083824,1096735,1110017,1123355,1136651,1150149,1163787,1177554,1191597,1205558,1219809,1234252,1248743,1263398,1278236,1293161,1308394,1323603,1339176,1354942,1371000,1387139,1403262,1419609,1436347,1453274,1470142,1487276,1504584,1522044,1539904,1557500,1575688,1593811,1612255,1631026,1649649,1668541,1687677,1707046,1726347,1745897,1765592,1785435,1805616,1825925,1846726,1867749,1888700,1909778,1931182,1952711,1974745,1996738,2018891,2041079,2063703,2086723,2109730,2132860,2156220,2179968,2203951
1,1,1,1,4,4,5,7,12,14,16,19,21,23,26,30,38,42,46,50,57,63,66,69,75,83,96,100,107,112,124,129,133,142,150,161,168,173,182,192,204,223,233,247,261,271,286,306,319,333,349,356,377,386,408,423,448,465,488,513,533,564,588,612,649,680,717,753,791,826,863,895,934,980,1011,1042,1079,1122,1164,1198,1246,1291,1338,1390,1446,1496,1535,1586,1632,1689,1756,1830,1877,1935,1999,2064,2120,2190,2252,2314,2376,2438,2517,2608,2689,2761,2836,2921,2998,3094,3176,3274,3351,3451,3560,3665,3742,3857,3970,4081,4196,4310,4441,4558,4667,4776,4900,5016,5138,5258,5382,5487,5616,5741,5881,6012,6133,6267,6402,6524,6658,6784,6902,7031,7165,7318,7465,7621,7784,7926,8099,8275,8469,8638,8831,9013,9218,9400,9618,9820,10048,10246,10490,10705,10921,11180,11451,11717,11947,12205,12487,12730,12990,13259,13524,13809,14087,14383,14653,14931,15187,15452,15685,15993,16300,16621,16902,17189,17513,17834,18143,18455,18764,19097,19421,19779,20154,20514,20926,21329,21706,22132,22551,22982,23391,23834,24286,24713,25148,25603,26092,26588,27068,27581,28054,28573,29112,29658,30222,30751,31288,31858,32453,33013,33602,34236,34839,35441,36092,36753,37373,38035,38726,39443,40154,40856,41584,42258,42964,43691,44444,45167,45954,46752,47567,48349,49166,50004,50830,51710,52580,53477,54325,55227,56114,57049,58060,58941,59897,60844,61834,62844,63856,64903,65951,66998,68128,69223,70387,71518,72729,73973,75178,76344,77517,78789,80128,81431,82731,84042,85441,86807,88164,89534,90983,92386,93868,95318,96883,98438,100054,101683,103260,104854,106512,108226,109923,111666,113362,115189,116953,118717,120504,122406,124287,126122,128109,129979,131983,134014,136019,138044,140180,142215,144298,146427,148552,150793,153029,155279,157528,159699,162020,164419,166866,169383,171988,174459,177061,179601,182254,184847,187450,190052,192709,195398,198221,201016,203747,206529,209334,212252,215164,218151,220988,223916,227026,230175,233262,236448,239752,243090,246458,249781,253180,256601,260098,263618,267212,270888,274544,278302,282165,286133,290088,294171,298213,302368,306515,310757,314978,319349,323763,328385,332883,337419,342222,347046,351812,356759,361706,366588,371672,376769,381940,387171,392506,397936,403427,408908,414479,420100,425812,431520,437342,443122,449282,455457,461722,468160,474582,481095,487705,494424,501181,508036,515097,522283,529586,537013,544281,551766,559331,567137,574936,582791,590946,599082,607275,615725,624142,632897,641683,650618,659589,668677,677947,687512,697116,706717,716428,726375,736624,746815,757102,767722,778267,789069,799750,810714,821639,832916,844329,855735,867345,878889,890587,902749,914909,927125,939477,951938,964552,977250,990252,1003426,1016746,1030138,1043570,1057226,1070991,1084966,1098962,1113340,1127770,1142375,1157199,1172053,1187148,1202343,1217765,1233402,1249257,1265338,1281507,1297764,1313983,1330679,1347450,1364217,1381241,1398533,1415775,1433370,1451163,1469068,1487506,1505892,1524700,1543705,1562607,1581784,1601241,1620728,1640372,1660561,1681001
1,1,1,1,1,5,6,7,11,11,12,17,20,21,23,24,24,26,30,37,47,58,62,64,74,78,88,99,113,118,124,129,141,151,157,172,178,186,194,203,213,222,229,237,248,257,267,281,298,319,337,351,363,374,388,407,425,438,455,476,505,534,556,578,602,626,656,688,710,732,751,778,801,825,845,870,885,901,923,944,960,982,1015,1029,1047,1062,1087,1102,1127,1145,1169,1194,1220,1240,1271,1297,1323,1341,1378,1405,1425,1449,1482,1508,1535,1567,1597,1617,1644,1668,1693,1721,1753,1800,1842,1886,1928,1976,2029,2064,2131,2185,2232,2281,2339,2399,2465,2539,2608,2693,2756,2832,2923,3001,3087,3162,3231,3310,3389,3484,3570,3667,3753,3842,3908,3990,4069,4169,4242,4333,4425,4532,4616,4705,4787,4865,4957,5048,5141,5236,5320,5410,5489,5556,5634,5699,5788,5863,5951,6030,6110,6196,6295,6381,6478,6590,6697,6802,6913,7012,7124,7235,7336,7445,7568,7685,7818,7943,8081,8205,8326,8466,8618,8759,8917,9047,9178,9319,9465,9626,9778,9928,10086,10262,10406,10558,10715,10896,11071,11248,11401,11545,11705,11880,12076,12246,12436,12638,12836,12994,13183,13377,13572,13780,13976,14158,14381,14588,14796,15007,15245,15476,15697,15932,16153,16392,16641,16892,17149,17387,17641,17934,18214,18483,18758,19043,19323,19620,19905,20200,20470,20763,21079,21377,21692,21975,22311,22601,22911,23241,23544,23852,24177,24497,24835,25191,25525,25916,26242,26580,26930,27254,27595,27958,28348,28736,29104,29462,29791,30151,30573,30975,31389,31793,32223,32640,33051,33503,33930,34380,34819,35282,35726,36168,36634,37086,37528,38010,38464,38975,39461,39987,40507,41035,41558,42138,42693,43282,43893,44521,45157,45754,46380,47028,47666,48379,49044,49715,50401,51122,51805,52461,53181,53904,54619,55370,56154,56978,57744,58492,59303,60096,60950,61787,62614,63419,64247,65052,65869,66766,67674,68539,69402,70311,71286,72258,73201,74233,75216,76280,77357,78400,79485,80541,81658,82735,83868,84967,86159,87414,88603,89907,91294,92620,93949,95305,96697,98121,99497,100903,102274,103713,105187,106637,108192,109714,111274,112833,114406,116001,117570,119208,120888,122564,124235,125894,127670,129404,131121,132963,134839,136774,138701,140627,142596,144561,146521,148582,150647,152632,154683,156871,158914,161191,163245,165537,167696,169888,172228,174606,177027,179382,181782,184254,186799,189343,191923,194510,197171,199824,202489,205217,207978,210825,213615,216588,219567,222605,225711,228785,231940,235154,238563,241935,245349,248959,252446,256072,259705,263504,267320,271301,275267,279276,283301,287396,291610,295766,300061,304330,308789,313268,317731,322307,326860,331489,336160,340867,345560,350346,355255,360304,365269,370464,375653,380839,386185,391411,396821,402372,407926,413613,419461,425437,431451,437635,443707,450087,456475,462933,469658,476229,482896,489713,496569,503551,510708,517689,524856,532079,539529,547083,554636,562101,569788,577517,585483
1,1,1,1,1,1,3,4,6,6,6,7,9,13,13,13,15,16,18,23,25,26,26,28,34,37,43,47,55,62,73,81,86,96,97,108,115,124,129,136,145,155,159,170,186,203,219,229,245,259,269,283,295,313,330,344,359,373,385,401,417,431,452,466,476,500,514,532,543,561,573,590,610,624,633,659,676,707,727,758,775,805,837,856,882,906,944,967,990,1024,1059,1090,1127,1176,1217,1250,1278,1323,1355,1392,1440,1494,1544,1587,1629,1679,1725,1775,1827,1881,1957,2021,2086,2141,2207,2270,2337,2407,2464,2539,2613,2692,2773,2858,2923,2991,3063,3156,3237,3338,3420,3501,3598,3707,3795,3901,4012,4117,4212,4322,4432,4530,4642,4741,4853,4984,5092,5200,5325,5456,5578,5701,5828,5965,6097,6237,6377,6510,6639,6786,6909,7038,7163,7291,7418,7569,7715,7881,8021,8160,8314,8464,8620,8787,8929,9076,9219,9375,9522,9667,9840,9985,10126,10276,10442,10618,10786,10970,11178,11354,11525,11706,11893,12099,12293,12485,12702,12926,13168,13391,13654,13854,14059,14288,14511,14771,15002,15222,15467,15729,15977,16255,16549,16823,17118,17380,17674,17950,18227,18533,18853,19151,19458,19800,20139,20431,20746,21064,21399,21738,22097,22475,22848,23168,23540,23900,24225,24575,24928,25271,25660,26002,26392,26810,27178,27608,28026,28440,28816,29210,29638,30085,30529,31005,31490,31962,32447,32946,33460,34027,34567,35142,35643,36215,36800,37438,38009,38654,39229,39891,40543,41210,41864,42510,43203,43902,44614,45309,45984,46611,47337,48052,48764,49535,50299,51103,51894,52689,53541,54350,55191,56055,56902,57758,58675,59588,60510,61493,62465,63480,64430,65481,66446,67497,68538,69652,70703,71805,72998,74157,75340,76536,77717,78926,80144,81457,82733,83995,85308,86596,87887,89262,90633,92020,93480,94944,96479,97957,99555,101119,102632,104197,105736,107368,109007,110711,112462,114283,116012,117791,119624,121509,123332,125204,127064,129033,131032,133054,135141,137145,139260,141296,143353,145530,147671,149877,152180,154422,156672,159005,161361,163692,166207,168671,171180,173740,176387,179017,181749,184497,187257,190030,192932,195801,198768,201656,204748,207815,210926,214201,217513,220881,224280,227716,231141,234718,238447,242059,245731,249394,253259,257088,260922,264923,268826,272854,276963,281113,285320,289646,294051,298423,303018,307448,311921,316607,321300,326069,330970,335853,340845,345804,350889,356108,361355,366694,371993,377465,383014,388582,394426,400073,405934,411793,417637,423416,429512,435736,442005,448274,454733,461296,467793,474356,480950,487685,494450,501315,508434,515505,522631,530060,537319,544704,552322,559788,567349,575273,583222,591215,599426,607516,615773,624074,632706,641436,650122,658972,667742,676872,685999,695134,704598,714230,723905,733564,743492,753453,763742,773841,784048,794395,804823,815292,825953,836915,847857,859002,870433,881668,893063,904451,916005,927531,939351,951152,963276,975411,987737,1000400,1013059,1025956,1038992,1052110,1065411,1078625,1092086
1,1,1,1,1,2,3,5,5,6,8,9,14,16,17,20,20,23,23,23,26,28,29,31,32,33,33,35,36,37,39,40,41,46,49,53,58,64,68,71,73,80,80,81,85,88,93,96,105,109,114,121,130,141,145,152,163,170,180,191,204,215,224,232,240,246,259,270,286,301,308,316,329,343,353,366,374,388,403,417,425,441,454,465,480,492,506,515,525,539,553,575,582,597,611,626,638,652,671,678,693,717,727,747,764,779,793,811,832,853,864,877,900,913,922,940,957,970,982,995,1018,1040,1056,1071,1092,1114,1134,1157,1179,1193,1223,1239,1259,1277,1289,1309,1340,1376,1406,1449,1484,1526,1559,1597,1635,1674,1702,1735,1784,1827,1872,1920,1955,1996,2038,2070,2104,2141,2188,2215,2264,2298,2349,2394,2448,2484,2525,2567,2610,2662,2718,2778,2827,2870,2924,2978,3038,3089,3151,3218,3280,3346,3404,3482,3557,3625,3694,3780,3842,3901,3972,4055,4141,4214,4287,4389,4469,4543,4628,4723,4800,4897,5011,5110,5227,5333,5430,5533,5642,5765,5896,6028,6152,6289,6442,6574,6730,6898,7050,7225,7361,7551,7718,7878,8057,8262,8449,8635,8841,9047,9248,9484,9669,9888,10114,10293,10517,10733,10951,11165,11392,11622,11861,12102,12343,12595,12838,13068,13295,13548,13788,14057,14334,14588,14890,15219,15493,15801,16083,16421,16746,17066,17401,17763,18136,18522,18931,19280,19683,20078,20498,20911,21323,21739,22185,22581,23015,23446,23905,24354,24791,25281,25711,26148,26572,27017,27471,27893,28347,28785,29260,29736,30246,30730,31221,31738,32236,32687,33181,33631,34163,34678,35175,35699,36223,36726,37246,37783,38307,38884,39417,39964,40513,41060,41664,42246,42783,43341,43897,44495,45109,45757,46456,47089,47725,48355,49017,49683,50344,51035,51768,52463,53145,53864,54657,55446,56193,56964,57781,58571,59350,60120,60953,61869,62754,63663,64545,65415,66322,67224,68082,69016,69996,70918,71934,72909,73877,74899,75928,76911,77949,79016,80125,81202,82319,83388,84449,85537,86632,87817,89003,90220,91365,92585,93800,95011,96283,97557,98828,100131,101505,102884,104216,105621,106971,108345,109721,111043,112514,113894,115449,116879,118376,119920,121438,122962,124495,126104,127706,129344,131041,132697,134466,136297,138196,139990,141838,143748,145606,147531,149513,151496,153462,155473,157462,159608,161732,163867,166020,168220,170448,172666,174901,177148,179413,181647,184017,186381,188814,191190,193679,196230,198855,201490,204161,206899,209605,212360,215153,217990,220920,223859,226923,229911,232892,235986,239100,242299,245478,248694,251971,255281,258674,262093,265432,269002,272619,276240,279815,283550,287255,291048,294844,298742,302595,306467,310420,314503,318624,322889,327122,331492,335710,340097,344519,349015,353585,358309,363015,367787,372727,377592,382666,387799,392912,398139,403392,408764,414216,419821,425434,431185,436962,442867,448740,454574,460647
1,1,1,1,1,3,4,7,8,10,11,13,13,13,14,15,16,18,20,22,22,27,30,33,37,40,46,54,62,67,80,90,97,104,109,117,126,134,144,153,161,165,174,178,186,192,196,204,210,220,227,233,238,244,245,252,254,259,262,263,272,277,281,287,289,290,296,300,302,306,307,308,310,312,320,327,334,337,342,352,357,362,372,378,385,397,407,419,429,443,459,472,489,508,533,551,577,601,619,646,670,704,732,757,777,814,845,864,909,939,981,1016,1055,1090,1139,1179,1213,1250,1287,1324,1368,1399,1440,1469,1516,1562,1610,1646,1695,1731,1775,1804,1841,1882,1919,1950,1979,2016,2076,2109,2150,2187,2231,2269,2308,2349,2392,2419,2465,2516,2554,2613,2672,2740,2787,2846,2921,2984,3059,3110,3182,3255,3334,3409,3482,3560,3663,3745,3842,3936,4033,4128,4229,4313,4403,4523,4632,4728,4812,4895,4998,5083,5202,5308,5397,5510,5646,5763,5880,5983,6093,6207,6325,6449,6559,6673,6795,6905,7013,7136,7248,7381,7521,7650,7776,7903,8040,8176,8332,8451,8587,8753,8895,9019,9179,9308,9456,9601,9756,9918,10074,10209,10355,10497,10670,10819,10986,11147,11320,11501,11655,11815,11992,12168,12359,12536,12695,12850,13044,13230,13435,13600,13814,14058,14251,14477,14690,14909,15138,15395,15636,15882,16138,16353,16597,16861,17150,17391,17676,17942,18206,18530,18821,19117,19420,19715,19972,20260,20535,20835,21125,21453,21747,22070,22369,22722,23050,23393,23734,24099,24460,24779,25137,25516,25933,26306,26721,27144,27535,27903,28310,28725,29172,29622,30084,30536,31005,31458,31973,32466,32937,33457,33948,34451,34942,35437,35951,36454,36997,37586,38147,38716,39281,39850,40397,40968,41514,42092,42655,43293,43887,44511,45079,45744,46411,47070,47761,48437,49187,49894,50570,51277,51986,52707,53439,54227,55032,55833,56610,57447,58321,59201,60069,61018,61932,62894,63884,64875,65861,66862,67880,68892,69945,71043,72119,73264,74394,75562,76666,77858,79013,80185,81434,82654,83893,85201,86452,87726,89037,90334,91717,93126,94561,95896,97294,98747,100250,101761,103293,104846,106438,108042,109687,111372,113057,114832,116596,118333,120118,121980,123897,125880,127862,129831,131837,133935,136021,138168,140332,142527,144752,147057,149366,151747,154116,156589,159074,161591,164090,166752,169413,172014,174727,177490,180190,182894,185690,188615,191416,194391,197300,200319,203340,206383,209507,212483,215510,218803,222123,225466,228789,232199,235602,239128,242632,246149,249626,253318,257093,260835,264684,268673,272550,276505,280531,284670,288859,293161,297360,301695,306126,310564,315055,319478,323960,328549,333053,337923,342885,347786,352732,357828,362705,367952,373138,378330,383615,389115,394461,400042,405614,411214,416906,422745,428687,434789,440845,447081,453227,459486,465817,472256,478916,485507,491987,498587,505343,512177,519130,526091,533310,540526,547749,555073,562578,570337,578131
1,1,1,2,3,4,6,13,14,18,23,28,37,49,56,63,71,81,93,103,114,123,132,146,160,166,180,194,202,218,235,258,271,288,303,324,341,362,379,403,421,440,454,474,505,529,547,581,604,631,657,690,727,752,797,819,860,901,944,981,1035,1087,1125,1182,1242,1295,1372,1435,1496,1573,1661,1746,1836,1914,1984,2083,2164,2264,2357,2449,2544,2634,2734,2834,2943,3048,3163,3281,3407,3516,3637,3776,3915,4070,4181,4317,4455,4583,4742,4890,5029,5203,5382,5528,5672,5840,5997,6149,6326,6495,6697,6858,7008,7183,7385,7578,7769,7910,8099,8275,8446,8631,8834,9033,9219,9411,9571,9738,9928,10121,10310,10494,10684,10857,11028,11199,11390,11592,11799,12003,12199,12380,12567,12778,12972,13189,13395,13644,13864,14061,14302,14576,14821,15087,15367,15621,15906,16199,16505,16793,17070,17358,17648,17901,18184,18491,18828,19187,19493,19814,20135,20445,20789,21116,21475,21822,22175,22519,22880,23274,23662,24045,24450,24865,25251,25675,26062,26473,26921,27357,27829,28283,28723,29157,29590,30103,30569,30999,31497,31977,32456,32955,33520,34045,34595,35128,35632,36205,36799,37364,37951,38589,39198,39790,40446,41092,41762,42406,43053,43697,44406,45151,45828,46559,47274,47989,48791,49540,50296,51059,51801,52543,53302,54079,54829,55591,56383,57209,58002,58841,59631,60411,61238,62138,63023,63841,64703,65608,66554,67467,68374,69314,70221,71174,72127,73103,74101,75178,76274,77332,78343,79436,80608,81720,82971,84196,85405,86653,87895,89158,90475,91827,93171,94548,95966,97416,98885,100347,101909,103509,105071,106551,108189,109813,111400,113128,114810,116595,118366,120145,121872,123651,125493,127327,129186,131080,132879,134702,136639,138570,140551,142609,144721,146776,148852,150922,153052,155250,157418,159703,162013,164216,166525,168857,171199,173637,176028,178510,181050,183672,186336,188995,191648,194345,196955,199659,202505,205325,208176,211257,214300,217404,220498,223688,226887,230111,233357,236587,239904,243275,246655,250014,253546,257017,260540,264145,267898,271618,275318,278980,282795,286623,290496,294312,298253,302207,306299,310453,314561,318713,323011,327349,331701,336058,340402,344906,349468,354001,358698,363475,368284,373255,378331,383360,388466,393629,398794,404177,409612,415169,420789,426501,432352,438284,444378,450398,456464,462628,468814,475108,481494,488101,494898,501528,508380,515420,522385,529650,536783,543875,551234,558713,566193,573928,581554,589367,597296,605151,613307,621486,629633,637907,646347,654662,663165,671929,680906,689872,698835,708039,717360,726581,735950,745524,755133,764940,774956,785036,795067,805438,816160,826779,837544,848597,859402,870620,881889,893465,905119,916808,928685,940697,952560,964763,977194,989740,1002393,1015365,1028447,1041786,1055232,1068841,1082471,1096246,1110162,1124241,1138355,1152603,1167255,1182120,1196915,1212204,1227385,1242946,1258416,1274235,1290088,1306077,1322398,1338699,1355117,1371800,1388712,1405840,1423014,1440446,1458033,1475754,1493522,1511564,1529772,1547915,1566210,1584904,1603717,1622955,1642258,1661754,1681527,1701518,1721382,1741743,1762110,1782804,1803547,1824546,1845660
1,1,1,1,2,4,4,6,8,10,11,15,15,20,21,25,28,32,39,49,53,60,63,74,78,86,97,107,116,124,131,137,148,163,174,181,190,200,208,218,227,235,242,252,268,278,282,292,301,312,320,324,341,356,371,388,402,416,429,443,467,484,504,526,551,571,598,627,654,673,703,726,763,784,807,838,864,903,938,975,1002,1029,1049,1074,1098,1123,1157,1187,1226,1262,1295,1323,1356,1398,1433,1474,1498,1528,1561,1598,1635,1679,1719,1757,1804,1845,1878,1929,1971,2015,2057,2110,2159,2203,2249,2324,2383,2460,2532,2590,2670,2749,2825,2907,3002,3074,3173,3257,3361,3445,3534,3619,3708,3819,3917,4028,4122,4250,4346,4440,4564,4658,4756,4850,4926,5028,5124,5243,5336,5428,5531,5632,5753,5853,5976,6086,6193,6294,6409,6536,6651,6777,6911,7057,7185,7347,7494,7625,7791,7952,8130,8335,8513,8718,8912,9120,9326,9544,9769,9987,10252,10495,10774,11044,11285,11559,11814,12079,12340,12626,12910,13199,13495,13793,14134,14465,14811,15120,15481,15848,16216,16571,16922,17281,17672,18004,18363,18726,19086,19459,19821,20184,20542,20957,21342,21710,22118,22544,23001,23435,23898,24328,24800,25324,25797,26269,26771,27244,27784,28346,28879,29430,29933,30511,31123,31689,32320,32979,33618,34306,34983,35640,36289,36959,37648,38346,39095,39827,40566,41338,42076,42805,43563,44270,45025,45717,46494,47279,48053,48865,49644,50468,51300,52149,52961,53805,54656,55519,56408,57300,58165,58995,59886,60788,61746,62720,63682,64639,65600,66544,67427,68407,69406,70405,71383,72437,73449,74511,75589,76658,77727,78872,79984,81103,82224,83382,84562,85733,86882,88120,89307,90531,91752,92997,94248,95546,96839,98183,99487,100825,102117,103422,104814,106174,107551,108964,110439,111847,113332,114822,116387,117948,119464,121050,122723,124403,126009,127754,129488,131255,133054,134918,136907,138853,140872,142903,144963,147028,149137,151237,153442,155605,157896,160179,162510,164818,167198,169588,172086,174367,176837,179332,181859,184489,186976,189646,192328,195001,197691,200502,203175,205961,208809,211699,214651,217602,220560,223613,226738,229927,233246,236509,239876,243194,246662,250241,253740,257357,261051,264840,268662,272535,276466,280556,284536,288547,292786,296982,301296,305685,310019,314579,319133,323708,328345,333032,337848,342692,347580,352573,357677,362602,367726,372916,378388,383837,389268,394779,400339,405991,411664,417528,423368,429362,435408,441586,447812,454007,460229,466656,473158,479681,486272,493013,499580,506383,513387,520407,527593,534709,542034,549465,556908,564546,572351,580158,588081,595993,604025,612279,620427,628896,637451,645977,654737,663684,672743,681831,691050,700291,709701,719064,728640,738436,748224,758225,768316,778348,788667,799113,809719,820509,831323,842461,853643,865037,876375,887996,899708,911468,923562,935788,948171,960615,973357,986030,998960,1011812,1024935,1038263,1051569,1065045,1078799,1092692,1106686,1120668,1135200,1149615,1164328,1179165,1194351,1209701,1224907,1240432,1256205,1272149,1288205
1,1,1,1,1,1,1,2,4,7,8,11,14,14,14,17,19,24,27,28,30,34,41,46,47,48,50,52,53,60,70,78,85,89,98,108,114,124,129,140,149,164,175,191,207,227,245,259,264,275,284,301,319,336,353,369,392,413,438,462,494,516,551,578,609,641,675,714,758,798,843,880,924,971,1006,1046,1095,1141,1188,1239,1276,1325,1363,1407,1455,1502,1545,1581,1621,1669,1725,1781,1835,1884,1918,1956,2022,2073,2117,2167,2219,2274,2331,2379,2426,2479,2533,2586,2639,2696,2747,2796,2845,2889,2944,2991,3056,3104,3156,3192,3242,3290,3332,3368,3409,3455,3498,3566,3618,3656,3719,3771,3829,3912,3980,4037,4092,4170,4260,4332,4399,4463,4516,4583,4667,4749,4840,4923,4993,5074,5149,5227,5314,5381,5465,5553,5653,5718,5803,5886,5973,6057,6132,6200,6276,6357,6446,6524,6612,6700,6782,6858,6930,7009,7096,7188,7267,7351,7429,7515,7596,7661,7749,7817,7887,7978,8053,8129,8191,8267,8340,8417,8490,8555,8620,8697,8785,8859,8922,8998,9080,9157,9234,9310,9363,9439,9526,9602,9681,9756,9830,9925,10021,10135,10221,10307,10401,10481,10572,10682,10798,10899,11011,11113,11212,11322,11431,11572,11705,11848,11982,12110,12248,12378,12517,12629,12770,12930,13064,13224,13369,13518,13654,13825,13980,14133,14298,14448,14582,14748,14910,15046,15199,15370,15528,15691,15871,16055,16227,16404,16568,16739,16907,17103,17256,17432,17615,17810,17966,18121,18299,18488,18682,18903,19121,19333,19554,19772,20002,20219,20424,20648,20888,21120,21350,21564,21800,22064,22292,22540,22790,23056,23333,23628,23922,24174,24459,24748,25082,25388,25723,26018,26337,26694,27024,27356,27742,28055,28391,28728,29063,29438,29772,30139,30499,30866,31224,31601,31961,32334,32710,33106,33526,33967,34395,34794,35213,35690,36130,36627,37103,37604,38063,38569,39044,39583,40078,40617,41116,41699,42251,42783,43317,43902,44457,45004,45589,46192,46780,47388,48058,48677,49253,49923,50521,51159,51852,52529,53205,53895,54585,55344,56102,56831,57629,58380,59171,59966,60760,61540,62387,63227,64105,64971,65827,66772,67776,68779,69685,70702,71709,72643,73676,74762,75834,76871,77913,78979,80121,81268,82386,83520,84662,85870,87025,88271,89411,90595,91808,93088,94395,95679,96963,98321,99689,101085,102501,103875,105288,106735,108163,109643,111089,112626,114190,115736,117295,118909,120632,122243,123943,125737,127476,129278,131044,132883,134699,136580,138522,140494,142415,144436,146455,148506,150596,152614,154726,156910,159133,161258,163559,165767,168087,170388,172800,175165,177622,180155,182590,185092,187615,190224,192841,195535,198267,200978,203798,206525,209424,212254,215142,218058,221041,224015,227021,230214,233412,236597,239717,243102,246515,249886,253377,256804,260413,264124,267751,271463,275105,278752,282539,286535,290513,294605,298641,302703,306948,311112,315406,319778,324134,328598,333039,337579,342065,346665,351500
1,1,1,1,1,3,5,5,8,8,10,11,13,13,19,22,24,25,27,29,30,32,35,39,49,53,59,66,71,80,87,93,103,114,124,133,144,156,162,170,176,187,193,201,211,216,225,232,242,252,255,259,263,271,281,287,295,298,304,314,325,332,340,347,350,357,364,371,380,384,386,398,417,428,445,457,465,481,506,520,533,548,563,574,588,605,616,633,641,662,680,692,704,725,739,760,781,803,826,845,860,884,904,925,954,980,1012,1039,1066,1090,1120,1143,1180,1211,1240,1269,1290,1312,1345,1367,1395,1421,1447,1468,1500,1528,1559,1589,1625,1657,1698,1732,1767,1798,1828,1853,1892,1919,1950,1982,2021,2053,2089,2128,2165,2205,2235,2273,2320,2367,2404,2444,2489,2533,2565,2604,2660,2682,2727,2769,2808,2846,2897,2943,2984,3024,3067,3118,3162,3210,3258,3318,3360,3411,3463,3525,3585,3625,3677,3724,3790,3854,3906,3972,4037,4105,4168,4222,4283,4352,4406,4481,4540,4593,4652,4724,4786,4854,4922,4987,5044,5104,5154,5224,5282,5342,5397,5455,5512,5562,5625,5687,5756,5822,5891,5954,6026,6090,6161,6221,6277,6341,6402,6459,6541,6608,6676,6747,6817,6911,6996,7072,7147,7219,7301,7381,7479,7569,7672,7763,7867,7955,8080,8174,8260,8364,8459,8565,8655,8762,8879,8989,9117,9242,9357,9477,9581,9674,9789,9887,9990,10100,10190,10313,10435,10560,10706,10843,10965,11077,11225,11351,11499,11641,11787,11924,12069,12205,12319,12468,12626,12783,12944,13115,13276,13433,13606,13781,13949,14132,14333,14504,14718,14939,15149,15352,15577,15775,16011,16226,16471,16717,16973,17255,17494,17726,17946,18177,18420,18681,18954,19231,19524,19809,20080,20370,20674,20975,21283,21575,21868,22190,22466,22761,23103,23455,23745,24073,24424,24750,25071,25430,25804,26176,26542,26919,27267,27611,28033,28462,28872,29256,29680,30071,30459,30846,31223,31650,32094,32535,33008,33429,33902,34410,34888,35405,35884,36390,36884,37378,37904,38409,38943,39499,40077,40608,41139,41684,42281,42834,43430,43994,44609,45206,45861,46508,47172,47765,48450,49124,49798,50483,51231,51920,52657,53398,54152,54908,55617,56409,57190,57957,58746,59552,60338,61101,61934,62758,63556,64430,65267,66141,67001,67908,68799,69688,70660,71649,72639,73652,74716,75713,76809,77945,79062,80220,81366,82598,83857,85147,86406,87652,88953,90241,91598,93049,94444,95874,97275,98738,100197,101761,103210,104753,106328,107814,109381,110975,112632,114338,116101,117815,119703,121475,123315,125173,127044,128974,130974,133012,135048,137094,139221,141361,143477,145527,147843,150134,152555,154937,157259,159703,162115,164457,166845,169407,171940,174540,177272,179976,182717,185448,188251,191098,193938,196862,199805,202906,205892,208839,211881,214941,217996,221042,224317,227533,230828,234137,237310,240686,244100,247519,251132,254759,258456,262237,265907
1,1,1,1,4,4,5,6,7,8,10,11,13,13,15,18,20,24,30,35,38,41,46,49,54,60,66,72,79,83,92,98,102,110,118,124,132,139,147,151,153,164,169,183,193,205,213,219,228,236,243,251,261,264,271,278,284,295,305,311,323,330,339,353,364,381,397,418,431,437,452,468,488,505,528,540,554,573,587,600,611,624,634,654,665,677,688,701,713,728,746,758,766,780,788,800,811,822,842,857,871,880,903,921,941,967,985,1011,1040,1085,1120,1158,1185,1226,1268,1308,1349,1392,1434,1471,1531,1588,1635,1696,1752,1794,1851,1905,1959,2017,2084,2157,2222,2293,2358,2431,2488,2547,2604,2675,2744,2809,2858,2916,2979,3042,3111,3169,3238,3301,3359,3428,3494,3555,3607,3683,3744,3802,3861,3919,3979,4021,4069,4121,4182,4228,4271,4323,4381,4432,4494,4547,4610,4665,4724,4795,4867,4940,5008,5085,5154,5221,5296,5381,5466,5558,5646,5737,5830,5932,6036,6145,6254,6351,6443,6554,6644,6763,6875,7001,7113,7231,7342,7453,7563,7693,7811,7927,8057,8165,8295,8424,8521,8661,8780,8907,9060,9201,9353,9483,9611,9755,9906,10071,10207,10350,10503,10647,10772,10907,11041,11184,11342,11497,11642,11782,11943,12071,12237,12383,12543,12703,12887,13050,13202,13363,13539,13695,13872,14057,14249,14454,14644,14860,15081,15296,15513,15722,15929,16150,16377,16629,16847,17079,17290,17553,17823,18061,18328,18585,18821,19073,19335,19631,19891,20193,20493,20746,21042,21340,21638,21929,22255,22564,22869,23226,23516,23839,24181,24520,24890,25217,25551,25903,26239,26594,26916,27291,27657,28022,28370,28724,29065,29421,29792,30159,30511,30908,31314,31713,32072,32500,32895,33276,33700,34126,34549,34985,35392,35790,36204,36656,37081,37540,38025,38481,38904,39372,39871,40324,40818,41268,41762,42260,42760,43232,43775,44258,44746,45261,45748,46258,46798,47339,47843,48398,48967,49483,50039,50611,51211,51794,52342,52919,53544,54131,54781,55395,55983,56645,57301,57925,58537,59159,59858,60537,61141,61840,62511,63203,63930,64639,65400,66122,66816,67545,68318,69090,69858,70612,71399,72225,73089,73936,74804,75670,76544,77436,78305,79246,80172,81138,82114,83072,84056,84988,85987,87023,88021,89082,90141,91174,92262,93388,94510,95647,96769,97889,99089,100278,101479,102728,103955,105244,106595,107932,109298,110618,112061,113466,114848,116288,117801,119267,120771,122294,123820,125429,127072,128630,130228,131892,133500,135165,136803,138408,140127,141793,143447,145167,146866,148661,150474,152319,154253,156077,158017,159920,161889,163913,165961,168034,170095,172240,174335,176468,178640,180813,183066,185343,187617,189878,192256,194603,196970,199413,201954,204597,207133,209786,212393,215105,217910,220656,223415,226350,229333,232301,235387,238377,241554,244661,247830,251029,254282,257608,260922,264281,267628,271192,274743,278307,281890,285542,289216,292974,296787
1,1,1,1,1,2,3,6,7,8,9,13,15,16,19,25,30,35,39,48,57,62,73,79,89,102,112,122,129,136,141,150,160,169,178,183,190,196,207,217,223,227,234,242,247,253,260,267,274,279,284,287,288,292,296,301,307,312,315,318,320,324,328,332,337,344,351,356,357,361,366,369,372,379,387,390,400,408,414,419,425,434,443,447,457,465,475,480,483,486,494,499,505,510,520,522,528,535,544,550,555,557,564,569,573,578,583,585,591,594,599,602,606,609,616,620,620,623,625,629,630,632,632,632,633,635,636,638,639,639,639,639,640,640,641,642,644,647,648,648,651,652,656,656,656,656,658,660,665,666,668,672,674,677,681,685,687,693,700,710,716,722,726,737,743,751,758,767,774,783,792,804,814,818,827,833,840,845,853,859,864,868,876,880,886,894,897,901,904,912,917,921,923,927,927,930,934,938,940,942,942,945,947,950,955,955,956,957,959,960,961,962,962,966,966,970,974,975,977,981,986,986,989,990,990,990,990,990,992,993,994,994,996,998,998,1001,1004,1006,1006,1008,1011,1012,1015,1019,1019,1023,1024,1027,1029,1031,1031,1033,1034,1035,1035,1036,1037,1038,1038,1044,1048,1050,1056,1062,1068,1070,1073,1077,1081,1085,1091,1098,1108,1118,1125,1132,1136,1147,1161,1169,1187,1196,1206,1219,1228,1245,1256,1269,1281,1292,1299,1315,1324,1332,1341,1349,1360,1368,1376,1387,1394,1405,1417,1432,1445,1462,1477,1489,1507,1522,1538,1554,1568,1592,1616,1641,1655,1682,1694,1711,1736,1754,1777,1805,1828,1851,1871,1897,1924,1946,1971,1992,2015,2040,2068,2089,2119,2147,2170,2206,2228,2257,2282,2316,2375,2411,2451,2489,2530,2572,2620,2675,2722,2777,2827,2873,2921,2968,3016,3077,3129,3179,3226,3270,3324,3377,3421,3471,3513,3559,3609,3663,3719,3789,3838,3888,3947,4025,4078,4134,4205,4275,4349,4409,4487,4562,4646,4711,4796,4874,4953,5043,5116,5216,5305,5415,5524,5619,5713,5841,5951,6068,6178,6313,6420,6504,6618,6727,6827,6925,7049,7148,7257,7386,7497,7619,7740,7856,7981,8105,8217,8335,8453,8572,8681,8795,8924,9048,9157,9262,9370,9477,9605,9746,9880,9999,10129,10265,10403,10524,10655,10821,10964,11098,11244,11385,11529,11687,11848,12023,12215,12396,12563,12772,12974,13165,13344,13536,13688,13872,14076,14234,14416,14625,14841,15056,15256,15487,15706,15938,16170,16398,16659,16922,17162,17426,17681,17915,18228,18497,18813,19115,19438,19734,20022,20331,20667,20958,21280,21640,21984,22302,22610,22921,23206,23524,23892
1,1,1,1,2,2,3,3,5,5,5,9,13,17,19,19,20,24,25,26,28,36,38,43,49,56,61,66,74,79,84,94,104,116,124,138,144,157,172,183,189,196,205,213,228,243,250,257,269,287,298,305,315,327,332,338,354,367,375,383,390,405,423,443,459,470,487,502,519,536,555,575,597,614,634,657,675,708,743,758,778,808,834,858,878,898,928,949,969,1003,1040,1074,1110,1135,1178,1210,1249,1292,1343,1409,1461,1504,1558,1622,1674,1748,1813,1891,1971,2051,2125,2204,2278,2366,2448,2549,2634,2697,2776,2845,2924,3002,3076,3170,3242,3317,3404,3481,3562,3634,3712,3792,3862,3943,4036,4113,4206,4286,4368,4456,4559,4651,4747,4854,4969,5073,5189,5293,5392,5492,5619,5733,5840,5959,6075,6179,6281,6417,6526,6663,6776,6909,7032,7165,7301,7431,7541,7669,7810,7957,8105,8232,8380,8557,8715,8866,9045,9190,9346,9497,9684,9868,10040,10225,10389,10566,10785,10981,11169,11363,11592,11780,12018,12203,12415,12633,12832,13058,13268,13477,13661,13851,14065,14282,14476,14688,14890,15111,15332,15529,15759,15966,16176,16381,16635,16884,17116,17345,17562,17810,18080,18291,18539,18811,19064,19306,19555,19791,20060,20320,20572,20866,21120,21387,21656,21940,22228,22501,22796,23075,23370,23673,24010,24339,24666,25004,25330,25636,25969,26282,26603,26916,27230,27574,27935,28270,28569,28869,29206,29543,29858,30156,30516,30885,31209,31573,31950,32304,32669,33062,33446,33818,34195,34616,35030,35446,35881,36309,36715,37162,37579,38032,38461,38898,39348,39794,40244,40667,41104,41557,42012,42442,42873,43286,43746,44225,44697,45169,45634,46104,46618,47167,47686,48213,48727,49238,49796,50349,50879,51450,52096,52688,53289,53941,54588,55263,55953,56674,57338,58003,58767,59455,60208,61007,61794,62601,63403,64172,64957,65808,66647,67522,68358,69201,70066,70948,71857,72822,73716,74698,75626,76602,77617,78611,79684,80676,81734,82799,83903,84941,86023,87143,88262,89418,90604,91885,93148,94467,95718,97003,98277,99589,100937,102272,103580,104999,106412,107849,109244,110648,112102,113525,115006,116556,118056,119607,121214,122813,124328,125951,127519,129141,130821,132564,134260,136025,137854,139653,141463,143312,145205,147111,149083,151033,153014,155017,157166,159302,161470,163723,165957,168180,170501,172819,175252,177622,179980,182507,185081,187566,190113,192682,195278,197913,200604,203222,205911,208630,211331,214121,217032,219945,222833,225815,228804,231856,234924,238029,241182,244365,247459,250702,254127,257558,260977,264417,268055,271632,275357,279117,282816,286591,290407,294418,298382,302483,306682,310795,314938,319159,323532,327940,332364,336888,341543,346251,350866,355590,360384,365152,370043,374975,380003,385181,390454,395811,401121,406640,412087,417767,423487,429282,435098,440857,446674,452757,458931,464968,471176,477735,484069,490665,497231,504122,511118,518046,525059,532339,539670,547304,554882,562535,570391,578205,586151,594262,602386
1,1,3,4,5,7,9,10,11,12,13,17,20,25,32,35,39,44,50,57,61,71,85,94,106,112,117,125,134,147,159,165,180,197,209,222,237,249,263,270,278,293,312,327,337,353,371,382,394,412,433,454,471,494,514,536,555,577,602,626,642,659,678,705,724,751,779,811,838,875,894,927,954,983,1019,1049,1075,1107,1139,1156,1186,1213,1249,1284,1321,1347,1384,1423,1453,1489,1525,1569,1607,1662,1706,1755,1814,1850,1888,1930,2001,2065,2130,2178,2225,2279,2321,2375,2425,2505,2578,2632,2705,2778,2841,2907,2975,3065,3144,3224,3287,3356,3438,3525,3586,3656,3730,3808,3895,3962,4033,4089,4159,4229,4301,4374,4435,4498,4575,4631,4688,4755,4823,4888,4961,5025,5089,5154,5223,5297,5376,5476,5545,5623,5700,5792,5885,5997,6098,6181,6277,6376,6459,6545,6645,6742,6847,6960,7065,7176,7302,7404,7507,7619,7733,7866,7984,8116,8217,8347,8471,8607,8725,8839,8984,9149,9313,9466,9625,9798,9971,10147,10344,10546,10735,10939,11137,11349,11560,11780,12005,12210,12443,12662,12913,13175,13408,13666,13945,14222,14500,14768,15095,15389,15674,15983,16270,16566,16854,17162,17470,17796,18121,18460,18795,19114,19449,19759,20066,20397,20726,21038,21349,21712,22093,22444,22807,23159,23482,23815,24153,24508,24887,25329,25764,26194,26607,27006,27361,27776,28196,28635,29040,29464,29937,30360,30776,31214,31672,32149,32616,33081,33555,34073,34570,35030,35528,35988,36520,37012,37506,37998,38521,38995,39524,40048,40585,41200,41739,42293,42857,43445,44022,44584,45132,45709,46292,46871,47456,48069,48618,49225,49811,50425,51064,51710,52392,53073,53681,54377,55081,55801,56452,57142,57833,58514,59244,59927,60635,61437,62178,62940,63686,64513,65299,66110,66959,67759,68604,69443,70285,71133,72001,72867,73822,74738,75707,76631,77621,78658,79618,80663,81733,82851,83993,85175,86336,87590,88816,90114,91464,92783,94217,95661,97169,98617,100082,101596,103132,104752,106408,108073,109682,111413,113137,114906,116678,118482,120346,122212,124107,126021,128065,130023,131985,134031,136085,138217,140419,142694,144934,147145,149397,151767,154099,156495,158955,161279,163688,166246,168930,171601,174199,176787,179529,182297,185089,187878,190609,193434,196383,199296,202278,205238,208349,211312,214352,217394,220584,223725,226951,230192,233460,236690,240096,243610,247045,250463,253936,257424,260920,264478,268095,271782,275658,279490,283306,287269,291201,295387,299502,303748,307931,312201,316604,320965,325498,329977,334563,339317,344007,348817,353493,358490,363530,368530,373601,378691,383888,389221,394579,399984,405587,411189,416720,422524,428511,434456,440523,446599,452695,459025,465335,471673,478132,484733,491466,498143,505077,511982,518999,525912,533086,540305,547668,555075,562613,570313,578125,585959,593841,601814,609975,618075,626381,634756,643169,651866,660495,669451,678300,687214,696566,705943,715327,724869,734479,744350,754306,764142,774328,784718,795174,805605,816185,827099,838049
1,1,1,1,1,1,1,3,4,5,7,12,13,14,14,17,23,27,31,35,39,45,52,62,63,71,79,88,93,103,107,117,127,136,148,166,178,191,202,217,238,254,273,289,302,313,335,360,384,406,437,459,491,517,553,593,629,654,689,725,762,798,827,877,914,945,969,1013,1050,1099,1137,1181,1223,1265,1299,1347,1377,1419,1463,1501,1546,1601,1658,1704,1757,1804,1852,1904,1951,2011,2063,2126,2185,2249,2308,2384,2461,2524,2599,2675,2743,2813,2905,2982,3057,3148,3231,3317,3394,3459,3541,3624,3711,3819,3901,3996,4083,4156,4271,4355,4453,4553,4646,4727,4829,4925,5025,5135,5247,5342,5436,5551,5641,5751,5871,5984,6113,6235,6373,6509,6639,6765,6895,7031,7188,7335,7501,7646,7806,7969,8151,8330,8524,8706,8889,9075,9251,9433,9631,9816,9995,10201,10370,10542,10757,10953,11166,11363,11582,11765,11947,12159,12365,12577,12809,13022,13263,13509,13725,13959,14177,14394,14626,14840,15067,15310,15562,15836,16117,16368,16679,16988,17272,17592,17906,18217,18565,18899,19247,19631,19980,20378,20721,21105,21548,21977,22422,22855,23311,23768,24254,24676,25127,25643,26143,26657,27175,27679,28164,28702,29225,29747,30313,30868,31444,32012,32575,33127,33731,34337,34947,35544,36142,36732,37364,37993,38676,39354,39998,40725,41419,42108,42816,43534,44195,44916,45659,46429,47172,47902,48733,49477,50225,50985,51784,52583,53405,54248,55104,55968,56832,57733,58586,59486,60422,61376,62320,63333,64363,65386,66328,67337,68349,69402,70542,71620,72760,73849,74965,76086,77242,78432,79616,80833,82097,83309,84538,85810,87113,88384,89681,90949,92204,93534,94821,96185,97563,98969,100390,101747,103176,104629,106072,107519,108939,110434,112012,113562,115042,116626,118202,119801,121392,122991,124618,126250,127941,129703,131413,133113,134922,136758,138672,140569,142465,144405,146319,148321,150372,152395,154456,156534,158571,160685,162965,165211,167356,169617,171926,174182,176540,178992,181495,183975,186425,188839,191328,193922,196537,199136,201793,204354,207169,210023,212928,215896,218860,221801,224785,227780,230902,234074,237246,240546,243909,247215,250492,253951,257451,260902,264534,268222,272008,275704,279507,283367,287147,291122,295029,299048,303061,307152,311289,315581,319797,324151,328388,332714,337002,341350,345843,350411,355066,359889,364703,369545,374495,379558,384507,389681,394865,400243,405655,411043,416535,422015,427642,433494,439359,445252,451241,457338,463437,469822,476193,482753,489270,495878,502509,509228,516154,523130,530029,537220,544416,551824,559267,566737,574378,582235,590009,597933,605914,614065,622330,630720,639303,647794,656486,665317,674601,683683,692827,702108,711543,720921,730609,740299,750198,760282,770522,780789,791254,801760,812490,823384,834222,845083,856230,867524,878943,890625,902312,914170,925947,938149,950556,962970,975534,987969,1000713,1013634,1026694,1039790,1053004,1066428,1079903,1093686,1107738,1121712,1136140,1150649,1165255,1180200,1195200,1210488,1226021,1241689,1257538,1273389,1289701,1306270,1322853,1339808,1356859,1374145,1391656
1,1,1,3,4,4,5,6,7,7,8,14,14,14,14,14,16,16,17,18,22,28,29,36,44,49,51,57,58,65,73,83,87,96,107,112,121,128,141,149,163,178,193,205,215,229,243,263,284,301,320,335,353,375,394,412,431,447,461,475,487,504,520,536,554,568,577,591,616,635,654,676,694,711,731,759,786,804,817,841,867,881,902,930,952,979,1008,1043,1071,1103,1133,1166,1195,1224,1258,1291,1317,1343,1371,1417,1455,1500,1552,1591,1649,1679,1721,1762,1806,1852,1895,1943,1996,2062,2132,2198,2268,2338,2410,2478,2547,2611,2667,2739,2808,2878,2955,3016,3092,3185,3257,3328,3399,3481,3552,3621,3693,3770,3839,3918,4028,4122,4226,4330,4440,4540,4658,4758,4887,5015,5138,5254,5373,5489,5603,5710,5844,5960,6075,6199,6313,6434,6544,6672,6798,6933,7060,7188,7310,7440,7580,7716,7857,7972,8101,8231,8368,8523,8664,8789,8955,9117,9261,9449,9628,9807,9961,10127,10306,10478,10646,10856,11029,11214,11383,11556,11757,11946,12175,12391,12580,12788,13001,13204,13421,13627,13834,14036,14273,14539,14792,15014,15247,15473,15693,15953,16208,16497,16783,17053,17348,17654,17960,18276,18569,18883,19160,19473,19782,20122,20460,20777,21100,21399,21734,22082,22436,22788,23192,23560,23947,24315,24721,25086,25472,25876,26287,26676,27113,27526,27971,28476,28961,29460,29960,30429,30890,31429,31909,32388,32901,33454,33978,34502,35011,35513,36067,36607,37167,37685,38242,38841,39427,40008,40605,41250,41871,42529,43146,43841,44482,45165,45889,46641,47338,48069,48774,49536,50350,51113,51874,52676,53482,54299,55124,55955,56813,57667,58533,59346,60213,61149,62017,62884,63805,64775,65700,66678,67635,68566,69577,70589,71693,72782,73857,74960,76016,77110,78285,79481,80624,81801,82993,84213,85494,86722,87915,89137,90467,91820,93194,94572,95974,97342,98739,100224,101623,103155,104647,106135,107743,109318,110967,112677,114399,116325,118159,119955,121835,123660,125598,127555,129471,131483,133473,135527,137540,139615,141791,143953,146190,148446,150736,153059,155369,157755,160081,162578,164982,167613,170172,172781,175343,178004,180789,183543,186276,189193,192046,194969,197897,200918,204002,207015,210001,213110,216228,219363,222448,225551,228686,231888,235081,238312,241613,244976,248459,251908,255362,258940,262468,266145,269884,273523,277315,281047,284905,288730,292546,296489,300389,304524,308728,313124,317563,321879,326307,330812,335502,340040,344810,349560,354439,359310,364197,369141,374330,379473,384580,389914,395374,400730,406357,411890,417689,423252,428983,434724,440681,446603,452686,458804,464999,471251,477602,484057,490527,497133,503785,510459,517372,524364,531397,538594,545883,553204,560720,568145,575705,583458,591268,599111,607304,615470,623682,632060,640791,649387,657997,666785,675949,684919,694114,703444,712949,722552,732405,742299,752420,762417,772765,783214,793678,804437,815365,826446,837589,848988,860441,872029,883815,895646,907525,919670,931898,944034,956411
1,1,1,1,1,1,1,3,3,6,7,8,10,11,12,13,15,17,19,21,24,30,37,39,44,48,53,57,66,77,88,96,102,111,122,133,140,149,159,175,194,209,227,249,269,286,307,325,342,371,397,432,457,485,513,540,570,606,640,668,709,751,788,819,854,895,932,976,1019,1060,1097,1145,1185,1227,1286,1340,1377,1430,1471,1515,1562,1611,1660,1712,1774,1839,1903,1966,2026,2102,2174,2241,2320,2378,2466,2545,2623,2706,2786,2866,2950,3033,3112,3186,3250,3336,3420,3483,3575,3661,3755,3849,3949,4042,4118,4199,4271,4345,4424,4519,4619,4717,4807,4907,5007,5106,5188,5300,5398,5483,5589,5695,5808,5903,6026,6129,6239,6361,6476,6578,6683,6795,6911,7038,7143,7270,7383,7483,7616,7749,7848,7956,8060,8176,8282,8402,8495,8603,8703,8808,8900,9032,9133,9264,9378,9499,9615,9738,9853,9994,10119,10268,10409,10550,10700,10844,10980,11133,11274,11421,11583,11725,11890,12043,12198,12388,12562,12730,12908,13089,13263,13423,13614,13794,13989,14206,14396,14601,14814,15028,15209,15401,15626,15842,16044,16256,16442,16655,16870,17129,17350,17621,17873,18115,18382,18619,18876,19140,19399,19673,19943,20230,20515,20800,21079,21369,21685,22001,22334,22680,23022,23360,23687,23991,24305,24633,24951,25285,25643,25973,26283,26618,26970,27309,27621,27961,28306,28660,28991,29329,29663,29998,30345,30683,31042,31373,31714,32044,32384,32710,33092,33488,33832,34191,34556,34934,35311,35684,36084,36498,36871,37209,37642,38072,38507,38945,39361,39791,40225,40709,41164,41623,42080,42544,43038,43504,43997,44507,45019,45547,46111,46682,47197,47752,48342,48913,49502,50068,50657,51202,51803,52452,53062,53700,54310,54924,55553,56189,56851,57506,58212,58896,59550,60236,60918,61611,62299,63061,63805,64541,65291,66094,66878,67647,68412,69220,70015,70865,71726,72574,73428,74316,75149,76045,76923,77873,78824,79867,80874,81870,82877,83959,85028,86084,87128,88215,89294,90545,91673,92880,94080,95290,96530,97802,99068,100368,101601,102956,104214,105484,106861,108244,109674,111048,112546,113982,115524,117071,118532,120057,121572,123103,124652,126254,127868,129528,131210,132881,134568,136310,138047,139825,141538,143338,145115,146946,148861,150744,152610,154497,156369,158358,160363,162397,164388,166376,168444,170471,172580,174669,176872,179024,181207,183416,185753,188108,190429,192851,195361,197752,200276,202858,205457,208071,210736,213456,216114,219009,221841,224641,227597,230620,233592,236654,239714,242952,246130,249284,252515,255913,259347,262744,266339,269919,273420,277114,280913,284699,288593,292421,296267,300279,304409,308531,312953,317149,321446,325844,330370,335058,339691,344461,349276,354210,359126,364124,369208,374420,379705,384984,390295,395759,401192,406853,412540,418296,424182,430129,436198,442175,448213,454452,460626,466946,473477,479985,486510,493168,499775,506523,513297,520128,527094,534247,541494,548726,555995,563605,571265,578968,586667,594587,602602,610673,618806,627082,635356
1,1,1,1,1,1,1,3,3,5,6,8,9,9,9,9,9,9,12,14,16,17,21,23,29,32,36,46,53,59,66,82,90,103,112,128,141,158,171,194,211,227,239,264,288,306,323,349,374,403,426,452,482,506,533,564,596,627,653,690,718,752,785,830,849,884,923,956,998,1039,1083,1125,1173,1216,1264,1312,1370,1419,1481,1538,1598,1655,1706,1779,1832,1891,1942,2019,2084,2149,2205,2268,2331,2396,2457,2527,2597,2679,2749,2817,2877,2946,3019,3079,3136,3206,3284,3373,3450,3515,3592,3671,3773,3864,3970,4067,4171,4257,4355,4451,4534,4633,4741,4822,4937,5039,5158,5254,5351,5465,5579,5703,5824,5943,6067,6193,6327,6436,6571,6695,6824,6948,7081,7208,7336,7472,7602,7753,7902,8079,8212,8351,8475,8617,8762,8901,9045,9205,9358,9524,9688,9864,10021,10178,10357,10517,10671,10818,10991,11154,11346,11516,11663,11860,12005,12175,12319,12479,12657,12837,13009,13188,13354,13515,13679,13837,14001,14164,14348,14520,14715,14908,15113,15304,15478,15689,15875,16074,16330,16539,16781,17008,17225,17448,17690,17921,18129,18349,18585,18823,19086,19332,19545,19788,20027,20251,20518,20768,21031,21318,21583,21860,22132,22411,22698,22971,23289,23542,23870,24170,24459,24770,25088,25392,25709,26012,26314,26625,26961,27318,27695,28002,28347,28686,29027,29383,29734,30106,30480,30828,31192,31526,31888,32252,32621,33016,33390,33749,34135,34476,34858,35230,35631,36021,36410,36820,37207,37608,38024,38460,38834,39225,39651,40085,40529,40925,41377,41813,42314,42807,43272,43751,44183,44644,45151,45632,46136,46636,47152,47668,48190,48705,49202,49749,50260,50870,51461,52035,52595,53184,53741,54346,54958,55630,56277,56930,57562,58225,58885,59582,60268,61012,61706,62469,63162,63903,64582,65330,66075,66822,67592,68353,69199,70009,70876,71635,72440,73241,74079,74876,75722,76584,77445,78316,79152,80107,81028,81883,82778,83683,84624,85581,86551,87533,88481,89436,90413,91428,92398,93458,94459,95497,96553,97602,98779,99868,100958,102141,103289,104492,105724,106896,108104,109365,110605,111885,113135,114430,115743,117133,118530,119971,121334,122787,124244,125662,127090,128646,130193,131749,133350,134971,136607,138225,139890,141507,143161,144843,146589,148380,150213,152018,153871,155636,157440,159326,161182,163121,165139,167150,169134,171102,173142,175254,177382,179463,181681,183898,186023,188160,190398,192665,194957,197263,199536,201866,204199,206656,209049,211553,214087,216548,219112,221720,224299,226961,229695,232419,235185,237983,240873,243740,246691,249775,252755,255868,258868,261944,265127,268382,271732,275218,278629,282074,285540,289051,292625,296311,299994,303760,307505,311330,315310,319294,323375,327492,331576,335761,340033,344369,348701,352955,357438,361846,366458,371064,375773,380537,385314,389994,394938,399835,404718,409765,414945,420102,425408,430821,436324,441865,447448,453165,458835,464681,470579,476661,482853,488987,495198,501418,507963,514547,521040,527787,534518,541366,548290
1,1,1,1,2,6,10,12,14,16,18,19,21,29,35,46,57,68,76,90,102,114,122,135,150,163,181,205,223,243,269,291,309,328,344,367,383,408,430,452,476,508,539,562,598,632,653,685,716,748,783,796,823,843,868,902,928,955,973,997,1022,1039,1059,1081,1103,1122,1144,1167,1192,1219,1237,1260,1288,1313,1328,1354,1381,1417,1449,1484,1530,1569,1598,1630,1668,1703,1740,1777,1830,1871,1912,1962,1998,2031,2081,2132,2175,2204,2241,2291,2331,2376,2419,2464,2518,2569,2608,2656,2713,2767,2815,2862,2915,2969,3023,3108,3171,3237,3295,3353,3391,3458,3508,3566,3622,3699,3763,3831,3892,3946,3995,4052,4104,4171,4246,4317,4380,4441,4503,4556,4610,4661,4702,4751,4809,4874,4942,5009,5070,5130,5187,5256,5330,5395,5467,5531,5596,5651,5727,5799,5872,5942,5993,6052,6096,6151,6217,6280,6349,6426,6494,6556,6607,6672,6741,6818,6886,6966,7045,7107,7174,7274,7348,7423,7502,7584,7650,7729,7797,7867,7947,8038,8114,8184,8252,8338,8424,8517,8591,8671,8748,8832,8908,8980,9061,9133,9221,9317,9408,9504,9592,9693,9794,9907,10019,10141,10260,10361,10500,10624,10746,10864,10986,11098,11261,11386,11519,11645,11784,11943,12096,12255,12394,12523,12667,12818,12981,13133,13289,13434,13589,13746,13917,14055,14203,14344,14492,14675,14836,15012,15203,15398,15585,15787,15973,16156,16377,16579,16804,17057,17296,17536,17792,18039,18277,18537,18805,19080,19350,19619,19892,20202,20481,20775,21069,21389,21742,22094,22466,22804,23156,23503,23882,24234,24594,24972,25336,25724,26098,26476,26890,27305,27712,28112,28484,28883,29307,29721,30143,30561,30985,31445,31853,32250,32707,33179,33623,34112,34570,35063,35569,36102,36591,37055,37586,38075,38592,39132,39667,40238,40786,41333,41898,42513,43161,43833,44491,45177,45829,46505,47196,47828,48557,49238,49954,50656,51427,52195,52958,53731,54487,55243,56044,56833,57629,58524,59355,60215,61173,62074,62973,63830,64750,65639,66536,67476,68448,69474,70453,71441,72432,73386,74399,75398,76509,77543,78621,79693,80798,81877,83079,84237,85407,86699,87873,89124,90334,91585,92862,94090,95440,96824,98266,99719,101159,102617,104100,105702,107360,108995,110624,112249,113886,115606,117294,119070,120771,122536,124362,126159,127970,129843,131662,133574,135431,137349,139358,141284,143278,145242,147315,149374,151354,153351,155406,157522,159677,161856,164016,166161,168453,170693,172831,175113,177477,179868,182152,184545,187001,189362,191915,194462,196953,199482,202042,204630,207294,210054,212692,215449,218215,220911,223661,226428,229394,232348,235358,238465,241493,244731,247799,251016,254304,257590,260895,264294,267791,271402,275034,278744,282446,286230,290024,293992,297921,301925,306004,310148,314304,318625,323037,327532,331885,336295,341012,345648,350359,355201,360026,364942,369949,375007,380042,385481,390780,396108,401563,407159,412755,418603,424384,430186,436114,442058,448173,454335,460673
1,1,1,1,1,1,1,2,4,9,13,16,17,19,19,19,21,27,31,39,48,52,57,66,78,87,95,104,114,125,139,148,157,168,181,196,209,227,232,243,264,287,302,321,331,346,368,383,396,414,435,453,469,490,505,521,542,566,589,619,637,656,677,705,724,761,786,814,839,867,898,930,968,1003,1042,1075,1104,1145,1188,1233,1267,1316,1359,1405,1439,1486,1537,1587,1643,1694,1748,1804,1859,1913,1967,2018,2083,2148,2213,2281,2333,2399,2472,2541,2612,2683,2768,2860,2935,3028,3134,3213,3315,3427,3524,3612,3713,3835,3953,4062,4181,4293,4403,4507,4610,4694,4785,4887,5016,5115,5206,5323,5412,5517,5624,5740,5847,5944,6049,6175,6294,6411,6517,6626,6733,6842,6959,7071,7194,7310,7416,7523,7637,7754,7879,7982,8091,8211,8357,8460,8585,8713,8824,8949,9082,9215,9345,9478,9621,9769,9885,10008,10139,10259,10367,10506,10629,10739,10865,11009,11131,11262,11397,11565,11714,11899,12038,12191,12351,12505,12639,12780,12966,13140,13326,13495,13664,13846,14052,14278,14481,14677,14870,15108,15360,15575,15809,16056,16296,16519,16741,16991,17223,17487,17754,17980,18242,18491,18762,19000,19230,19484,19742,19979,20221,20492,20752,21004,21293,21561,21852,22173,22470,22733,23049,23363,23671,23988,24325,24659,24984,25334,25644,26020,26402,26786,27189,27575,27921,28292,28709,29112,29497,29901,30315,30738,31152,31539,31996,32433,32849,33260,33705,34184,34623,35057,35537,36041,36526,36976,37462,37952,38458,39001,39532,40055,40542,41097,41618,42177,42708,43257,43850,44428,45017,45536,46078,46645,47252,47895,48512,49068,49657,50249,50865,51451,52050,52717,53384,54046,54749,55408,56138,56835,57563,58301,58999,59750,60470,61272,62060,62715,63470,64203,64869,65616,66376,67160,67939,68678,69412,70213,70938,71827,72634,73454,74330,75189,76090,77012,77916,78810,79728,80632,81558,82534,83463,84476,85455,86408,87396,88486,89579,90613,91622,92659,93659,94752,95824,96922,98096,99258,100520,101734,102924,104147,105416,106720,108031,109391,110746,112117,113465,114859,116258,117657,119169,120615,122169,123648,125283,126927,128509,130124,131746,133370,135043,136797,138541,140376,142112,143908,145729,147531,149463,151341,153384,155348,157330,159316,161328,163379,165411,167447,169638,171803,174045,176304,178598,180986,183441,185966,188465,191012,193612,196243,198745,201412,204180,207056,209977,212891,215871,218918,221954,225028,228069,231244,234368,237623,240932,244284,247698,251176,254679,258066,261602,265237,268898,272572,276278,280047,283920,287720,291631,295559,299634,303694,307836,312031,316316,320507,324794,329022,333493,338094,342697,347453,352093,356835,361585,366653,371590,376578,381820,387099,392244,397500,402717,408112,413648,419105,424728,430481,436177,442014,447953,454028,460106,466213,472512,478733,485127,491500,498019,504542,511063,517820,524624,531516,538541,545716,552927,560343,567598,575226,582840,590424,598224,606055,613990,621949,630033,638322,646511,654914,663301
1,1,2,3,7,9,9,13,14,16,17,21,25,32,36,40,43,47,58,62,67,73,80,89,97,109,117,126,135,143,156,165,171,182,194,201,209,216,223,230,241,255,274,285,294,303,321,339,351,369,390,411,430,452,474,496,517,546,581,608,637,657,687,716,742,767,799,831,865,889,922,962,994,1024,1063,1101,1136,1179,1217,1250,1298,1332,1383,1427,1476,1531,1579,1632,1676,1723,1778,1842,1894,1947,2019,2071,2128,2203,2264,2345,2422,2507,2578,2672,2754,2836,2917,3009,3105,3186,3274,3390,3490,3588,3686,3795,3903,4013,4113,4224,4350,4477,4577,4707,4821,4940,5069,5209,5332,5445,5579,5696,5847,5990,6141,6306,6490,6658,6841,6984,7167,7336,7550,7750,7948,8143,8323,8547,8753,8973,9188,9405,9613,9828,10061,10300,10566,10781,11061,11338,11618,11874,12146,12444,12715,13007,13321,13625,13945,14247,14582,14929,15282,15630,15982,16325,16702,17088,17463,17856,18220,18656,19070,19488,19906,20335,20735,21153,21594,21995,22414,22815,23207,23603,24058,24474,24883,25316,25780,26256,26710,27148,27613,28078,28547,29036,29527,30005,30552,31039,31581,32093,32563,33146,33722,34299,34858,35424,35985,36607,37186,37865,38510,39219,39949,40624,41299,42004,42715,43477,44156,44859,45577,46288,47078,47848,48595,49358,50141,50938,51784,52587,53448,54287,55059,55972,56832,57667,58546,59468,60410,61426,62379,63351,64304,65302,66243,67256,68281,69350,70428,71647,72819,74011,75188,76442,77660,78909,80238,81546,82961,84277,85630,87048,88494,89949,91427,92938,94503,96081,97748,99365,101076,102738,104488,106299,108072,109854,111726,113522,115426,117304,119317,121289,123223,125185,127187,129233,131306,133449,135545,137688,139825,142024,144245,146674,148947,151323,153585,155917,158357,160860,163337,165962,168453,171014,173677,176363,179049,181780,184658,187589,190485,193500,196411,199337,202407,205363,208463,211506,214555,217691,220787,223952,227147,230504,233782,237054,240464,243816,247244,250719,254336,258012,261653,265164,268903,272739,276484,280414,284350,288375,292468,296529,300730,304973,309183,313458,317944,322377,326999,331494,336100,340755,345256,349991,354807,359681,364592,369599,374594,379635,384704,389983,395222,400628,406142,411553,417116,422660,428241,433911,439820,445700,451629,457648,463708,469740,476042,482435,488964,495609,502180,508832,515697,522442,529379,536517,543723,551110,558786,566315,573962,581595,589304,597135,604997,613092,621260,629272,637620,645935,654389,662994,671587,680346,689269,698312,707281,716488,725761,735150,744635,754275,763884,773728,783582,793530,803767,814089,824412,834927,845486,856307,867117,877980,888995,900294,911624,923057,934618,946440,958513,970556,982823,995304,1007712,1020314,1033006,1045847,1058919,1072117,1085542,1099159,1112737,1126767,1140803,1155074,1169511,1183896,1198732,1213630,1228961,1244075,1259575,1275190,1290977,1307052,1323296,1339588,1356216,1372819,1389669,1406714,1423873,1440998,1458653,1476306,1493854,1512002,1530403,1548698,1567223,1586086,1604924,1624246,1643538,1662897,1682669,1702644,1722684,1742823,1763632,1783942,1804696,1825773,1847227
1,1,1,1,2,3,4,5,5,6,8,13,17,20,21,26,31,38,47,55,60,70,84,96,111,126,140,154,167,182,200,210,221,240,267,283,307,320,337,351,371,391,406,421,449,464,476,499,519,537,553,574,596,609,620,645,667,683,697,713,740,755,782,807,830,849,871,906,933,965,1000,1037,1069,1114,1148,1182,1215,1249,1286,1325,1374,1412,1453,1502,1543,1590,1630,1675,1713,1757,1805,1857,1905,1953,2005,2057,2102,2157,2205,2264,2304,2355,2399,2453,2506,2574,2627,2696,2757,2813,2877,2945,3004,3083,3158,3244,3319,3390,3478,3567,3662,3758,3856,3966,4073,4173,4273,4375,4497,4606,4711,4805,4914,5037,5153,5252,5351,5477,5567,5663,5779,5906,6021,6132,6280,6420,6565,6689,6828,6988,7139,7296,7463,7618,7760,7931,8086,8251,8444,8621,8811,9012,9215,9414,9607,9840,10053,10262,10480,10677,10905,11138,11376,11602,11846,12064,12314,12522,12770,13000,13263,13519,13761,14037,14277,14532,14762,15028,15270,15535,15807,16055,16276,16556,16821,17081,17348,17605,17887,18140,18430,18730,19027,19303,19615,19927,20213,20511,20833,21158,21475,21808,22160,22491,22845,23179,23523,23886,24255,24656,25071,25473,25877,26292,26725,27147,27578,28024,28476,28949,29437,29906,30406,30903,31378,31915,32465,32996,33490,34043,34568,35080,35606,36155,36709,37257,37769,38299,38871,39409,39999,40593,41170,41788,42423,43002,43626,44203,44823,45428,46106,46759,47451,48124,48778,49449,50127,50799,51508,52180,52900,53628,54325,55089,55876,56633,57376,58093,58833,59606,60412,61209,62023,62827,63601,64431,65309,66173,67064,67965,68904,69821,70719,71651,72516,73446,74383,75330,76306,77272,78312,79324,80291,81293,82384,83492,84562,85674,86787,87887,89102,90215,91399,92534,93695,94885,96083,97343,98644,99974,101264,102612,103955,105401,106843,108363,109828,111335,112879,114430,116113,117783,119466,121081,122786,124501,126237,128056,129856,131636,133520,135503,137379,139340,141282,143276,145305,147377,149530,151660,153845,156139,158345,160582,162834,165157,167546,169876,172363,174826,177349,179871,182380,184931,187496,189960,192408,194979,197629,200261,203050,205742,208516,211314,214166,217061,219865,222818,225811,228837,231967,235047,238228,241515,244794,248144,251467,254912,258484,262011,265529,269133,272842,276492,280341,284237,288121,292079,296080,300236,304364,308532,312692,316863,321178,325613,330128,334583,339099,343747,348501,353224,358033,362839,367689,372584,377492,382455,387552,392702,397876,403170,408565,413888,419262,424724,430248,435817,441395,447145,452994,458862,464693,470737,476713,482702,488895,495222,501504,507680,513926,520249,526837,533342,540037,546708,553429,560154,567086,573953,580952,588057,595194,602524,610002,617419,624881,632522,640339,648118,656019,664155,672371,680620,688881,697420,705994,714821,723647,732615,741656,750929,760188,769379,778731,788165,797870,807568,817468,827555,837875,848201,858716,869241,880106,891105,902348,913630,924990,936334,947967,959765,971564,983632,995712,1007993,1020170
1,1,1,3,3,4,6,7,12,15,18,20,25,28,32,36,41,44,48,51,57,64,71,76,78,82,84,90,95,106,113,125,132,143,153,161,169,180,189,197,203,210,222,233,240,246,260,267,274,283,293,304,313,319,329,343,356,369,381,396,412,420,430,436,452,461,472,487,498,516,526,551,571,580,599,615,638,656,669,683,705,734,754,782,799,829,859,884,913,934,957,979,1000,1026,1047,1073,1101,1125,1159,1205,1229,1270,1312,1350,1377,1393,1413,1442,1466,1489,1514,1549,1584,1612,1631,1660,1682,1715,1739,1765,1786,1817,1848,1866,1908,1945,1966,1997,2028,2052,2085,2126,2150,2196,2235,2277,2305,2334,2369,2417,2457,2505,2547,2578,2621,2670,2716,2756,2805,2848,2914,2962,3008,3053,3097,3148,3207,3272,3322,3383,3452,3505,3556,3627,3690,3755,3819,3896,3957,4017,4080,4153,4221,4279,4347,4421,4489,4563,4651,4737,4818,4901,4984,5053,5128,5219,5307,5407,5493,5579,5672,5768,5859,5956,6065,6171,6300,6394,6501,6617,6733,6850,6995,7109,7233,7358,7468,7594,7712,7836,7952,8087,8215,8360,8501,8625,8763,8897,9031,9168,9290,9417,9555,9699,9874,10038,10183,10341,10491,10631,10814,10969,11106,11275,11443,11628,11804,12010,12216,12397,12600,12804,13019,13246,13469,13666,13864,14084,14284,14508,14732,14970,15188,15406,15636,15842,16063,16273,16489,16694,16927,17169,17403,17605,17832,18038,18271,18508,18740,18972,19220,19470,19699,19943,20212,20454,20724,21001,21288,21594,21878,22181,22484,22811,23133,23448,23772,24097,24461,24804,25173,25528,25862,26248,26609,26955,27323,27686,28056,28412,28786,29172,29575,29928,30347,30746,31159,31556,31955,32382,32793,33268,33711,34167,34621,35085,35594,36094,36575,37036,37564,38133,38665,39160,39735,40270,40775,41326,41856,42409,42959,43548,44118,44715,45328,45943,46554,47190,47863,48476,49100,49823,50484,51214,51969,52627,53384,54126,54809,55575,56338,57120,57954,58748,59593,60394,61201,62054,62941,63822,64702,65600,66531,67372,68267,69202,70184,71083,72048,72962,73930,74926,75929,76998,78019,79061,80151,81220,82254,83305,84428,85604,86797,88020,89310,90580,91928,93205,94508,95775,97114,98475,99873,101347,102818,104225,105724,107128,108726,110256,111760,113360,114964,116561,118275,119937,121552,123285,125067,126729,128420,130224,132008,133842,135618,137489,139401,141280,143154,145172,147150,149218,151287,153308,155418,157639,159993,162301,164586,166932,169230,171635,173984,176373,178859,181320,183926,186499,189128,191712,194477,197186,199879,202661,205452,208237,211070,213969,216810,219780,222870,225992,229086,232351,235630,238913,242131,245535,248961,252444,255963,259508,263050,266730,270466,274270,278062,282061,285980,289971,294150,298312,302496,306744,311049,315287,319680,324186,328589,333097,337711,342339,347093,351841,356770,361801,366797,371819,376951,382256,387513,392928,398354,403932,409442,415143,420909
1,1,1,1,2,3,6,6,8,11,11,11,11,11,11,11,11,12,14,14,14,15,16,17,18,19,19,19,19,19,21,27,29,34,36,41,46,48,52,54,59,63,68,71,80,92,102,105,110,116,118,128,135,143,147,157,164,182,189,196,199,210,218,224,232,241,249,260,269,279,290,298,305,319,330,344,354,364,374,382,392,399,414,421,435,450,461,475,494,510,526,536,544,563,578,592,607,618,635,652,663,681,699,721,739,761,787,810,840,869,896,919,940,968,991,1011,1032,1055,1072,1092,1120,1140,1161,1189,1217,1237,1255,1275,1306,1333,1351,1383,1405,1428,1470,1501,1526,1560,1594,1632,1669,1706,1751,1781,1820,1845,1893,1938,1981,2018,2055,2097,2145,2188,2234,2285,2333,2376,2425,2464,2505,2557,2595,2637,2686,2741,2797,2855,2919,2967,3030,3083,3140,3189,3235,3292,3346,3419,3463,3517,3566,3630,3699,3748,3807,3868,3931,3991,4067,4142,4212,4272,4338,4391,4448,4522,4589,4651,4710,4762,4836,4901,4959,5025,5083,5139,5207,5278,5349,5425,5499,5587,5662,5732,5811,5894,5970,6059,6147,6250,6340,6451,6544,6663,6776,6871,6979,7116,7226,7343,7475,7606,7722,7847,7987,8106,8241,8365,8492,8606,8731,8849,8973,9102,9234,9342,9452,9563,9692,9820,9979,10113,10277,10414,10558,10706,10859,11041,11212,11371,11564,11742,11921,12091,12280,12448,12630,12815,13007,13204,13360,13528,13684,13856,14051,14246,14452,14639,14816,15011,15196,15375,15575,15773,15955,16144,16341,16558,16774,16996,17184,17405,17632,17835,18075,18313,18569,18828,19111,19358,19616,19884,20135,20423,20694,20974,21238,21509,21788,22079,22337,22595,22892,23188,23469,23772,24077,24361,24618,24926,25217,25513,25819,26103,26406,26688,26993,27296,27573,27893,28193,28509,28872,29208,29534,29864,30214,30541,30890,31231,31618,31998,32398,32783,33206,33623,34040,34477,34909,35385,35866,36345,36838,37347,37861,38392,38914,39441,40015,40583,41141,41724,42350,42968,43605,44198,44816,45462,46099,46737,47438,48124,48766,49460,50178,50872,51576,52316,53052,53828,54588,55420,56225,57038,57864,58689,59535,60381,61303,62203,63110,64043,64999,65966,66926,67875,68864,69838,70829,71826,72862,73924,74937,75996,77121,78185,79322,80411,81518,82699,83850,85008,86179,87438,88655,89952,91223,92481,93784,95120,96489,97905,99339,100766,102288,103833,105369,106961,108566,110136,111790,113462,115157,116906,118667,120514,122398,124341,126264,128115,130080,132047,134126,136177,138292,140405,142446,144639,146843,149035,151254,153481,155822,158125,160548,162987,165471,167947,170398,172952,175577,178189,180845,183540,186306,189093,191954,194799,197702,200559,203516,206507,209588,212691,215865,219043,222189,225446,228686,232023,235372,238740,242154,245702,249279,252800,256367,259898,263520,267233,271060,274920,278806,282758,286660,290699,294731
1,1,1,1,3,4,4,5,7,9,10,16,19,27,33,34,43,49,57,61,69,79,84,98,105,107,115,119,126,136,146,160,176,185,200,212,223,233,250,258,268,281,289,296,303,313,321,335,353,366,386,403,415,425,439,453,476,497,510,527,547,563,580,597,619,639,660,684,709,734,766,794,820,848,869,894,915,943,971,990,1012,1046,1069,1092,1118,1153,1188,1213,1245,1278,1330,1368,1411,1451,1484,1522,1558,1598,1648,1696,1740,1790,1840,1885,1930,1990,2046,2095,2150,2192,2242,2296,2354,2413,2465,2517,2569,2635,2702,2773,2848,2908,2971,3037,3115,3182,3245,3329,3406,3469,3530,3598,3683,3769,3872,3948,4042,4109,4194,4290,4390,4473,4548,4637,4747,4836,4937,5024,5131,5231,5350,5460,5567,5670,5787,5905,6037,6163,6305,6417,6550,6691,6822,6944,7063,7201,7332,7472,7625,7787,7949,8111,8281,8445,8615,8775,8970,9164,9331,9507,9687,9877,10068,10239,10418,10629,10813,11018,11234,11439,11656,11877,12100,12338,12555,12783,13046,13303,13562,13807,14102,14414,14673,14964,15244,15533,15804,16097,16424,16743,17025,17335,17671,18002,18345,18686,19031,19374,19693,20032,20406,20752,21123,21485,21860,22251,22607,22998,23423,23851,24268,24685,25122,25584,26042,26474,26937,27432,27932,28376,28893,29432,29948,30492,31025,31607,32171,32744,33321,33856,34422,34999,35606,36219,36906,37525,38172,38812,39532,40182,40871,41622,42348,43050,43837,44602,45353,46128,46945,47784,48586,49426,50308,51189,52068,52943,53895,54813,55689,56616,57565,58548,59563,60616,61630,62721,63767,64788,65800,66901,67993,69120,70247,71384,72564,73684,74900,76098,77354,78614,79889,81229,82525,83872,85279,86680,88092,89523,90911,92347,93791,95338,96850,98408,99993,101585,103238,104880,106618,108402,110168,111909,113706,115503,117368,119195,121077,122992,124901,126887,128904,131039,133166,135292,137392,139444,141594,143756,145913,148105,150304,152756,155138,157619,160026,162462,165049,167517,170083,172676,175310,178037,180764,183540,186425,189268,192195,195119,198167,201276,204493,207656,210934,214280,217838,221351,224651,228155,231679,235296,239013,242781,246564,250439,254342,258175,262162,266299,270252,274387,278559,282736,286955,291254,295639,300041,304580,309060,313662,318153,322929,327810,332535,337437,342339,347336,352357,357536,362834,368203,373649,379089,384584,390246,396010,401712,407647,413613,419340,425479,431737,438015,444396,450963,457459,464148,470944,477634,484495,491497,498523,505606,512768,520043,527412,534728,542309,549912,557537,565218,573198,581200,589180,597345,605669,613854,622436,630846,639451,648277,657127,666113,675093,684276,693470,702930,712319,721834,731530,741299,751238,761111,771334,781531,791833,802305,812929,823567,834426,845305,856234,867647,879052,890320,901926,913652,925382,937586,949805,962279,974597,987130,1000079,1012795,1025758,1039001,1052196,1065706,1079217,1093219,1107113,1121279,1135660,1149830,1164488,1179249,1194154,1209354,1224496,1239822,1255399,1271098,1286547,1302590,1318655,1335129,1351674
1,1,1,2,4,7,8,11,14,16,19,22,25,31,40,50,56,61,68,75,84,92,101,103,118,135,149,166,175,182,194,202,210,222,234,247,257,267,275,285,293,313,330,342,352,366,380,385,399,416,429,447,469,486,505,519,544,562,578,596,611,624,640,663,686,704,715,729,747,763,785,813,829,847,860,868,886,905,922,941,970,991,1020,1043,1066,1093,1115,1152,1180,1217,1250,1271,1303,1328,1366,1390,1430,1463,1504,1543,1574,1614,1657,1702,1741,1782,1819,1872,1923,1982,2031,2074,2113,2159,2220,2272,2328,2377,2435,2491,2556,2613,2678,2744,2816,2880,2948,3018,3087,3154,3250,3321,3390,3459,3532,3633,3705,3778,3862,3949,4029,4125,4210,4312,4412,4523,4605,4719,4817,4929,5046,5170,5292,5417,5521,5659,5784,5896,6036,6176,6312,6424,6559,6687,6828,6962,7063,7234,7352,7487,7631,7745,7891,8042,8165,8302,8416,8541,8680,8819,8969,9116,9256,9437,9607,9762,9937,10108,10264,10436,10602,10775,10957,11136,11318,11516,11689,11890,12072,12275,12485,12694,12891,13120,13329,13583,13793,14025,14267,14493,14753,15010,15262,15544,15801,16070,16327,16605,16880,17138,17440,17736,18022,18307,18607,18908,19233,19555,19912,20277,20639,21010,21408,21751,22150,22539,22969,23394,23790,24222,24591,25023,25431,25830,26247,26677,27095,27513,27897,28381,28787,29246,29704,30124,30579,31001,31484,31983,32506,33030,33563,34055,34577,35142,35654,36227,36824,37368,37903,38512,39103,39671,40224,40811,41468,42064,42705,43384,44056,44707,45384,45979,46653,47339,48011,48696,49381,50068,50785,51534,52285,52973,53705,54435,55160,55943,56714,57490,58297,59076,59879,60710,61608,62467,63294,64117,65012,65874,66822,67724,68599,69545,70495,71407,72259,73202,74131,75052,76034,76961,77924,78914,79876,80884,81927,82952,83999,85011,86082,87181,88314,89400,90465,91578,92719,93891,95063,96231,97454,98676,99913,101249,102511,103842,105194,106580,108035,109458,110984,112485,114043,115539,117127,118695,120302,121938,123569,125242,126961,128688,130405,132140,133934,135738,137534,139411,141294,143136,144995,146925,148893,150889,152848,155026,157137,159220,161428,163592,165790,168003,170306,172627,174935,177313,179680,182137,184605,187108,189684,192228,194774,197393,200010,202733,205447,208274,211276,214121,217121,220186,223340,226441,229651,232958,236199,239499,242874,246173,249716,253240,256732,260332,263929,267649,271358,275139,278992,282787,286653,290653,294806,298898,303028,307317,311712,316072,320498,325004,329566,334114,338660,343403,348264,353158,358152,363224,368255,373446,378805,384104,389576,395027,400575,406297,412063,418043,424096,430198,436303,442444,448654,455140,461542,468062,474704,481456,488374,495414,502644,509843,517122,524448,531866,539472,547200,555080,562986,570898,578895,587006,595231,603623,612185,620846,629457,638254,647407,656323,665504,674725,683961,693403,702853,712484,722260,732158,742281,752340,762714,773195,783724,794421,805177,816450,827773,839070,850683
1,1,2,2,2,8,11,14,17,20,25,29,34,40,44,52,56,68,71,83,94,96,100,106,116,125,137,145,151,158,170,183,197,208,219,229,237,250,261,273,285,296,307,319,330,344,364,378,395,412,427,448,473,493,519,536,571,606,636,661,689,711,744,777,804,827,858,882,902,922,952,984,1014,1050,1072,1105,1142,1182,1217,1240,1260,1292,1329,1352,1397,1441,1475,1512,1564,1614,1661,1706,1751,1810,1848,1888,1936,1975,2026,2076,2127,2162,2215,2255,2299,2344,2399,2448,2506,2564,2619,2681,2740,2792,2842,2895,2951,3001,3078,3146,3219,3272,3345,3422,3516,3607,3692,3795,3894,3981,4075,4174,4269,4388,4508,4617,4747,4847,4957,5069,5199,5317,5428,5567,5703,5828,5959,6095,6225,6363,6499,6639,6764,6903,7041,7192,7317,7444,7607,7766,7918,8063,8213,8370,8509,8644,8788,8952,9126,9275,9448,9615,9765,9920,10072,10239,10411,10551,10709,10863,11001,11185,11344,11520,11690,11851,12013,12180,12350,12504,12684,12840,12991,13197,13364,13535,13711,13896,14079,14268,14470,14680,14888,15100,15298,15509,15704,15922,16133,16349,16616,16855,17099,17362,17591,17863,18156,18422,18673,18951,19244,19545,19876,20190,20518,20833,21163,21482,21792,22173,22505,22846,23193,23553,23952,24299,24627,25000,25391,25771,26141,26510,26930,27341,27762,28190,28605,29024,29437,29866,30277,30747,31209,31718,32243,32734,33265,33820,34350,34892,35431,36017,36614,37215,37788,38415,39026,39685,40271,40925,41587,42295,43026,43713,44376,45129,45860,46582,47339,48112,48950,49729,50491,51280,52088,52934,53780,54668,55554,56459,57300,58239,59187,60136,61121,62078,63120,64145,65171,66235,67224,68223,69362,70511,71606,72727,73890,75051,76265,77466,78677,79912,81197,82409,83682,84940,86282,87602,88903,90267,91556,92890,94262,95658,97124,98556,100060,101521,103084,104689,106277,107891,109497,111226,112881,114558,116251,118039,119835,121681,123543,125418,127328,129264,131194,133187,135174,137243,139398,141451,143579,145807,147943,150128,152354,154670,157086,159456,161745,164153,166586,169039,171621,174224,176851,179559,182347,185090,187870,190673,193481,196317,199169,202197,205237,208194,211296,214475,217631,220821,224068,227379,230759,234196,237600,241143,244753,248388,252147,255897,259855,263679,267592,271567,275566,279785,283907,288244,292519,296725,300965,305507,309999,314525,319136,323699,328277,333129,337978,342866,347835,352757,357787,362950,368067,373259,378560,384039,389340,394824,400399,406083,411688,417432,423249,429076,434925,440821,446850,452986,459149,465437,471807,478317,484888,491529,498256,505054,511953,518898,525967,533139,540392,547666,555010,562495,570129,577840,585601,593450,601436,609545,617833,626172,634496,643000,651642,660491,669463,678449,687582,696843,705958,715312,724880,734435,744009,753785,763781,773841,784152,794654,805327,816176,826858,837565,848589,859729,870905,882283,893949,905764,917441,929545,941798,954066,966437,978703,991437,1004073,1017134,1030428,1043645,1057043,1070459,1084119,1097932
1,1,1,2,3,3,4,8,8,11,11,11,11,11,11,11,14,17,21,26,27,32,35,37,39,45,51,61,65,75,88,96,108,121,132,138,145,153,163,170,175,184,190,196,205,208,214,221,229,235,240,243,248,253,256,261,265,274,278,283,289,291,294,301,304,307,317,321,324,335,338,347,360,365,370,376,382,389,397,413,421,435,453,475,492,508,531,547,563,584,597,620,640,665,688,723,752,777,809,845,878,907,931,960,989,1016,1043,1071,1105,1128,1158,1187,1213,1241,1268,1293,1323,1362,1402,1425,1460,1495,1534,1584,1627,1670,1703,1745,1790,1861,1908,1972,2029,2089,2152,2220,2298,2360,2434,2515,2599,2678,2766,2850,2934,3003,3076,3171,3256,3342,3422,3508,3585,3674,3769,3849,3925,4004,4083,4167,4263,4344,4416,4494,4571,4659,4735,4825,4919,5014,5131,5225,5323,5407,5516,5623,5729,5844,5972,6073,6182,6306,6429,6543,6694,6821,6927,7062,7183,7314,7473,7590,7737,7873,8018,8190,8337,8483,8617,8766,8910,9060,9210,9379,9529,9702,9865,10005,10146,10300,10475,10644,10793,10950,11117,11314,11510,11703,11899,12114,12313,12518,12723,12942,13165,13424,13637,13893,14136,14398,14672,14923,15215,15518,15816,16140,16433,16705,17013,17306,17631,17947,18270,18576,18889,19228,19595,19977,20345,20697,21057,21386,21731,22118,22517,22881,23302,23646,24025,24413,24811,25201,25627,26043,26460,26863,27284,27725,28137,28589,28997,29453,29927,30399,30901,31375,31866,32384,32884,33405,33943,34521,35037,35563,36129,36659,37274,37826,38413,39049,39644,40212,40772,41395,42018,42630,43271,43912,44559,45222,45889,46588,47273,47968,48710,49449,50216,50956,51717,52406,53172,53978,54700,55480,56254,57028,57780,58526,59333,60122,60983,61816,62725,63594,64421,65372,66250,67194,68155,69133,70161,71154,72154,73175,74281,75356,76506,77650,78718,79964,81196,82332,83551,84792,86003,87262,88594,89963,91344,92724,94158,95531,96912,98344,99840,101354,102878,104368,105829,107367,108982,110597,112290,114026,115772,117479,119265,121021,122872,124727,126658,128591,130533,132577,134605,136639,138746,140883,142962,145084,147299,149565,151767,153994,156347,158738,161192,163656,166165,168604,171132,173669,176251,178855,181574,184343,187125,189859,192759,195610,198486,201461,204383,207503,210501,213609,216803,220000,223253,226581,229876,233340,236739,240243,243797,247493,251174,254961,258762,262465,266264,270231,274254,278324,282398,286577,290767,295082,299413,303851,308263,312848,317446,322119,326920,331775,336624,341607,346717,351882,356940,362242,367696,373161,378768,384254,389937,395676,401580,407708,413751,419933,426168,432495,438890,445478,452271,459102,465936,472780,479728,486835,493989,501294,508640,516159,523884,531580,539493,547314,555305,563340,571497,579934,588431,596881,605516,614284,623220,632104,641019,650213,659228,668573,678057,687424,697061,707078,716886,727035,737388,747809,758288,768955,779657,790501,801736
1,1,2,6,7,9,9,10,12,13,15,20,24,32,32,36,39,45,49,58,64,75,85,94,107,115,128,142,152,166,173,191,212,227,254,282,298,320,337,354,368,390,412,440,473,511,544,575,605,628,661,694,739,777,826,870,917,950,986,1022,1059,1092,1129,1175,1218,1252,1300,1345,1386,1431,1471,1512,1556,1603,1658,1715,1775,1842,1895,1955,2005,2068,2130,2197,2266,2329,2400,2458,2516,2585,2667,2746,2811,2893,2969,3047,3138,3211,3285,3364,3452,3535,3616,3709,3794,3870,3965,4059,4134,4224,4297,4383,4488,4586,4676,4787,4869,4961,5051,5141,5248,5363,5460,5561,5675,5783,5880,5998,6105,6214,6318,6454,6574,6697,6822,6961,7082,7236,7370,7503,7662,7813,7960,8128,8305,8455,8616,8784,8979,9175,9355,9542,9741,9918,10093,10276,10484,10698,10902,11098,11291,11474,11687,11895,12088,12290,12478,12693,12933,13146,13351,13570,13801,14016,14245,14482,14710,14957,15205,15483,15746,16000,16268,16528,16823,17113,17431,17744,18071,18377,18725,19068,19393,19720,20058,20361,20672,20987,21305,21641,21974,22289,22585,22915,23252,23566,23878,24235,24591,24954,25269,25618,25946,26333,26718,27080,27449,27846,28234,28651,29031,29445,29890,30291,30757,31202,31683,32133,32651,33178,33696,34211,34777,35316,35875,36391,36940,37473,38036,38612,39232,39821,40411,41046,41658,42309,42907,43530,44170,44818,45466,46116,46796,47466,48101,48779,49483,50198,50936,51640,52386,53171,53965,54757,55549,56362,57193,58008,58844,59673,60510,61473,62333,63247,64174,65093,66025,66975,67926,68932,69931,70966,72026,73077,74123,75183,76229,77315,78509,79647,80864,82047,83254,84446,85714,86964,88279,89597,90905,92221,93511,94943,96339,97750,99138,100558,102016,103460,104932,106469,108049,109622,111216,112920,114538,116208,117955,119723,121445,123283,125144,127063,128958,130876,132809,134735,136657,138692,140723,142708,144828,146917,149034,151244,153439,155710,158000,160295,162568,164978,167400,169762,172288,174825,177328,179874,182500,185128,187806,190534,193295,196106,199025,201992,204886,207883,210915,213906,217126,220296,223551,226833,230245,233757,237238,240715,244191,247713,251267,254953,258635,262264,266092,269804,273511,277472,281501,285439,289496,293501,297817,301985,306377,310721,315132,319568,323961,328535,333222,337953,342768,347707,352628,357598,362614,367625,372754,378011,383209,388497,393807,399084,404522,410097,415773,421395,426997,432954,438806,444913,451051,457322,463552,470071,476558,483200,490034,496925,503967,511214,518461,525717,533168,540848,548581,556372,564374,572433,580615,588937,597311,605684,614458,623183,632106,641181,650249,659332,668710,678007,687631,697315,707029,716904,726929,737157,747485,757971,768540,779425,790397,801545,812804,824100,835579,847295,859201,871206,883142,895541,907873,920573,933290,946170,959316,972567,985858,999399,1013011,1026818,1040919,1055066,1069693,1084324,1099137,1114065,1129095,1144255,1159592,1175013,1190859,1206720,1222544,1238486,1254743,1271202,1287802,1304511,1321113,1338094,1355335,1372649,1390029,1407630,1425449,1443435,1461630
1,1,1,2,6,8,11,12,15,19,22,24,29,34,42,51,59,67,74,78,81,92,101,114,123,137,147,161,169,183,195,206,217,237,250,263,276,289,302,317,327,349,371,389,402,421,446,472,494,514,549,586,612,643,657,689,717,748,775,803,834,875,919,953,995,1035,1074,1106,1146,1175,1212,1238,1275,1313,1345,1384,1427,1474,1520,1564,1603,1639,1678,1724,1770,1820,1862,1907,1958,1994,2030,2064,2106,2160,2210,2249,2288,2335,2372,2418,2466,2513,2563,2614,2673,2726,2782,2829,2882,2931,2976,3051,3110,3169,3226,3290,3367,3449,3542,3608,3680,3753,3826,3905,4013,4104,4197,4298,4390,4473,4580,4675,4782,4899,5011,5115,5212,5328,5437,5555,5673,5779,5912,6027,6162,6297,6417,6545,6676,6801,6933,7060,7208,7335,7468,7597,7745,7882,8006,8140,8294,8429,8585,8735,8886,9031,9184,9330,9503,9675,9842,9997,10165,10331,10512,10689,10860,11029,11201,11372,11551,11757,11952,12154,12364,12571,12800,13034,13238,13454,13678,13890,14105,14309,14536,14796,15038,15284,15523,15760,16030,16287,16549,16785,17078,17406,17690,18018,18346,18634,18937,19270,19591,19932,20324,20729,21116,21491,21876,22297,22674,23034,23443,23822,24214,24641,25067,25471,25882,26340,26804,27299,27804,28234,28671,29123,29589,30055,30538,30968,31417,31902,32385,32900,33380,33861,34404,34938,35485,35985,36520,37051,37637,38165,38725,39309,39899,40506,41069,41635,42272,42877,43530,44124,44716,45377,46010,46667,47350,48044,48722,49415,50137,50849,51538,52247,52971,53722,54507,55326,56176,57038,57869,58745,59641,60520,61438,62300,63324,64293,65247,66195,67192,68219,69223,70275,71292,72330,73364,74387,75496,76616,77758,78949,80089,81309,82514,83709,84922,86137,87440,88710,90046,91365,92716,94050,95323,96726,98187,99618,101108,102569,104141,105699,107313,108925,110597,112264,113971,115659,117329,119019,120858,122653,124501,126438,128276,130221,132150,134041,136048,138177,140187,142363,144499,146720,148923,151159,153364,155654,158058,160550,163006,165422,167875,170405,173032,175699,178262,180905,183680,186586,189445,192437,195347,198297,201268,204215,207217,210237,213294,216445,219599,222800,226101,229313,232573,235940,239363,242662,246021,249595,253039,256538,259955,263485,267120,270739,274356,278065,281858,285671,289528,293393,297278,301326,305415,309549,313650,317881,322162,326538,331070,335562,340155,344733,349429,354274,359052,363797,368790,373727,378716,383957,389130,394297,399745,405010,410374,415861,421371,426998,432669,438371,444189,450178,456165,462042,468128,474239,480508,486786,493189,499735,506287,512941,519594,526343,533224,540433,547557,554742,561952,569449,577023,584647,592388,600147,607991,615911,624098,632371,640663,648971,657213,665980,674968,683878,692832,701760,710780,720035,729359,738778,748265,757806,767447,777142,786892,796987,807197,817443,827915,838325,848746,859447,870162,881082,892011,903150,914383,925611,937215,948982,960978,972919,985026,997491,1009866,1022381,1035292,1048085,1060963,1074004,1087290,1100954,1114744
1,1,2,2,2,3,7,7,9,12,14,16,18,22,28,38,44,52,61,69,77,92,99,112,122,129,140,149,164,176,186,197,208,220,232,238,248,264,271,277,291,300,310,328,346,364,379,390,406,416,433,449,470,494,509,527,547,573,585,610,626,647,663,682,696,706,725,738,751,766,774,780,793,802,810,822,832,840,853,859,866,872,877,880,888,892,896,906,910,917,924,929,932,939,943,944,946,946,949,954,957,958,959,962,964,967,967,969,970,972,975,976,978,979,980,980,981,982,986,987,989,994,999,1006,1014,1017,1023,1033,1039,1046,1058,1063,1076,1083,1091,1101,1110,1122,1133,1141,1153,1165,1172,1180,1189,1199,1213,1225,1234,1242,1248,1260,1267,1272,1280,1290,1295,1302,1305,1311,1318,1320,1332,1336,1345,1350,1352,1356,1363,1371,1378,1387,1392,1397,1404,1408,1418,1428,1434,1445,1462,1470,1482,1500,1518,1534,1548,1563,1581,1594,1618,1636,1647,1664,1682,1702,1723,1748,1775,1805,1828,1861,1889,1914,1948,1977,2015,2058,2090,2126,2163,2210,2248,2286,2333,2368,2403,2453,2498,2535,2575,2624,2671,2715,2766,2813,2862,2921,2974,3036,3087,3147,3207,3262,3317,3371,3416,3478,3534,3605,3662,3715,3757,3803,3847,3898,3969,4023,4067,4132,4192,4231,4293,4350,4424,4480,4537,4623,4691,4761,4833,4910,4981,5048,5144,5237,5334,5418,5510,5614,5718,5819,5922,6014,6100,6194,6299,6402,6505,6617,6735,6849,6972,7070,7176,7283,7385,7470,7573,7702,7815,7922,8014,8110,8239,8361,8444,8565,8682,8784,8895,9008,9133,9265,9384,9506,9633,9764,9894,10028,10123,10244,10381,10494,10627,10779,10923,11081,11236,11365,11508,11648,11780,11954,12073,12210,12363,12486,12644,12778,12906,13050,13187,13341,13517,13632,13746,13878,14045,14193,14346,14510,14667,14861,15018,15178,15352,15499,15663,15870,16042,16228,16399,16581,16765,16929,17097,17299,17507,17716,17955,18139,18363,18578,18780,19014,19231,19449,19665,19897,20092,20288,20493,20690,20931,21159,21410,21659,21860,22053,22268,22493,22693,22892,23100,23315,23518,23747,23956,24179,24427,24655,24873,25109,25338,25573,25800,26051,26284,26518,26769,27010,27277,27556,27805,28083,28372,28655,28943,29238,29546,29866,30152,30465,30793,31115,31402,31748,32080,32430,32775,33126,33486,33841,34236,34642,35115,35535,35993,36467,36926,37376,37900,38382,38866,39343,39872,40380,40894,41486,42027,42591,43174,43773,44385,44969,45548,46160,46754,47410,48023,48682,49360,49983,50656,51360,52056,52756,53473,54207,54934,55643,56416,57176,57969,58734,59453,60280,61058,61885,62723,63598,64410,65259,66093,66946,67904,68836,69802,70737,71683,72641,73601,74613,75637,76632,77686,78780,79873,80967,82095,83264,84419,85596,86759,87993,89212
1,1,2,3,4,7,9,9,12,12,12,13,19,21,22,24,32,38,41,44,50,59,70,79,90,101,112,124,136,142,153,168,180,192,201,207,217,229,237,246,252,257,273,285,299,315,327,344,359,372,389,408,423,445,465,494,516,546,569,591,610,633,659,684,704,734,757,789,811,844,875,910,933,961,994,1025,1059,1103,1139,1183,1227,1264,1288,1310,1344,1368,1406,1432,1452,1487,1520,1558,1592,1625,1659,1689,1713,1741,1789,1822,1855,1891,1933,1968,2014,2046,2087,2117,2146,2183,2215,2243,2277,2310,2343,2374,2402,2435,2476,2506,2534,2570,2611,2643,2672,2691,2714,2742,2764,2795,2818,2848,2880,2909,2931,2947,2969,2993,3016,3034,3065,3102,3132,3152,3179,3211,3240,3274,3297,3326,3348,3390,3423,3454,3493,3522,3541,3581,3617,3654,3692,3734,3765,3797,3845,3886,3932,3989,4025,4068,4117,4170,4225,4284,4334,4390,4446,4495,4559,4612,4666,4733,4797,4870,4949,5025,5113,5189,5268,5353,5440,5528,5621,5684,5766,5856,5940,6035,6120,6210,6292,6384,6474,6560,6651,6731,6817,6906,6992,7086,7171,7266,7355,7421,7507,7584,7673,7739,7835,7919,8030,8116,8202,8280,8378,8491,8585,8694,8788,8873,8991,9126,9240,9352,9469,9570,9685,9794,9920,10021,10153,10269,10385,10502,10662,10812,10963,11126,11281,11441,11604,11769,11939,12115,12300,12475,12655,12849,13038,13238,13440,13668,13895,14138,14373,14620,14880,15113,15359,15603,15847,16083,16364,16619,16877,17127,17389,17645,17955,18182,18476,18755,19015,19292,19598,19892,20211,20529,20850,21178,21497,21809,22112,22454,22804,23174,23563,23967,24375,24781,25198,25686,26148,26583,26992,27384,27828,28316,28751,29208,29636,30117,30612,31133,31654,32162,32754,33280,33851,34429,34970,35521,36081,36704,37331,37968,38598,39270,39969,40627,41300,42024,42773,43480,44180,44874,45606,46335,47106,47901,48662,49419,50256,51076,51878,52743,53579,54446,55289,56142,57025,57933,58889,59785,60730,61726,62639,63574,64558,65552,66505,67500,68558,69584,70662,71830,72965,74060,75241,76466,77634,78846,80143,81450,82720,84022,85329,86612,87901,89320,90738,92159,93615,95090,96543,98143,99677,101204,102816,104431,106069,107710,109426,111149,112915,114702,116512,118391,120261,122116,124064,126030,128054,130088,132146,134234,136335,138501,140676,142833,145073,147367,149659,151976,154312,156762,159078,161420,163892,166387,168944,171572,174281,177018,179764,182622,185484,188310,191205,194188,197309,200453,203634,206814,210088,213343,216664,220048,223512,227071,230615,234193,237954,241717,245583,249381,253303,257356,261396,265661,269964,274171,278503,282885,287278,291716,296337,301134,306040,310741,315672,320528,325549,330563,335839,341033,346107,351344,356745,362270,367746,373271,378869,384662,390622,396410,402334,408350,414394,420381,426546,432751,439218,445772,452425,459062,465753,472523,479427,486522,493437,500619,507876,515062,522486,530176,537824
1,1,1,1,3,4,4,5,5,5,7,8,9,15,21,29,34,37,48,52,64,67,73,81,94,99,103,115,124,131,136,145,151,158,167,177,184,189,194,200,209,218,226,237,242,246,259,265,269,275,278,281,288,294,301,309,317,324,333,342,349,356,360,364,372,381,396,403,415,421,428,432,439,452,459,465,469,481,488,504,518,526,537,543,555,566,577,583,594,597,605,613,622,635,643,658,676,690,699,714,729,744,758,771,786,803,816,832,854,874,892,906,920,940,964,992,1011,1033,1060,1084,1110,1139,1165,1193,1226,1251,1279,1314,1346,1378,1419,1451,1503,1556,1610,1657,1715,1764,1807,1870,1933,2007,2067,2139,2212,2277,2360,2424,2499,2582,2649,2728,2812,2906,2971,3067,3174,3273,3372,3483,3589,3699,3815,3936,4038,4171,4315,4437,4555,4704,4834,4995,5132,5286,5429,5569,5703,5838,5974,6115,6279,6426,6556,6720,6850,6992,7140,7274,7427,7569,7742,7905,8060,8180,8328,8488,8639,8787,8927,9087,9241,9399,9556,9731,9884,10077,10258,10426,10584,10762,10931,11104,11278,11455,11631,11807,12012,12208,12411,12615,12818,13025,13233,13444,13662,13881,14089,14306,14520,14733,14981,15195,15409,15622,15859,16076,16317,16548,16784,17046,17304,17566,17787,18020,18295,18544,18830,19097,19400,19666,19948,20224,20505,20793,21087,21394,21674,21969,22259,22535,22786,23070,23371,23703,24062,24382,24679,25037,25370,25694,26067,26469,26841,27191,27521,27892,28272,28659,29068,29452,29869,30227,30635,31029,31430,31839,32256,32671,33072,33503,33942,34354,34835,35280,35737,36194,36659,37165,37662,38167,38706,39310,39855,40415,40995,41579,42168,42763,43399,44018,44623,45257,45909,46525,47179,47818,48424,49163,49862,50572,51271,52031,52737,53466,54204,54940,55659,56389,57128,57865,58663,59456,60281,61043,61888,62666,63449,64308,65184,66030,66967,67893,68810,69748,70704,71693,72671,73624,74638,75650,76681,77729,78749,79921,81014,82184,83368,84567,85772,86987,88178,89416,90733,91981,93253,94521,95806,97168,98556,99902,101270,102656,104035,105397,106843,108256,109690,111216,112753,114241,115794,117318,118893,120564,122263,123924,125606,127244,128974,130801,132618,134484,136337,138271,140263,142191,144107,146131,148244,150319,152484,154603,156855,159075,161316,163519,165748,167991,170288,172650,175044,177436,179909,182345,184906,187354,189949,192562,195262,197934,200582,203367,206201,209124,212056,214982,217919,220987,224034,227182,230445,233766,236946,240248,243711,247213,250753,254451,258192,261883,265637,269376,273185,277179,281162,285251,289465,293653,297918,302302,306611,310994,315523,320035,324695,329481,334111,338926,343755,348582,353438,358362,363317,368491,373748,379092,384558,390033,395492,400979,406622,412264,418043,423936,430053,436113,442371,448670,455176,461636,468301,474985,481733,488583,495472,502414,509344,516401,523695,530910,538485,546054,553595,561445,569298,577025,584979
1,1,1,1,1,1,3,6,7,9,10,11,14,16,17,21,24,29,30,33,35,37,41,49,53,58,61,67,81,88,97,102,111,117,131,137,152,162,179,190,199,211,227,245,266,284,304,315,333,346,366,387,405,419,435,453,469,487,503,525,555,581,604,628,657,684,712,750,782,815,853,888,932,982,1024,1074,1118,1165,1210,1254,1310,1358,1418,1470,1530,1585,1646,1700,1765,1811,1874,1940,2005,2059,2124,2192,2265,2331,2404,2492,2557,2637,2701,2787,2888,2983,3086,3186,3286,3389,3512,3626,3739,3852,3989,4108,4273,4441,4601,4755,4889,5046,5195,5333,5512,5689,5865,6045,6219,6408,6561,6732,6913,7095,7271,7457,7631,7826,8048,8234,8438,8658,8873,9091,9327,9535,9754,10032,10281,10525,10791,11044,11304,11576,11850,12128,12422,12753,13077,13371,13708,14029,14359,14675,15043,15363,15714,16096,16422,16793,17166,17537,17932,18343,18750,19141,19558,19968,20344,20730,21163,21591,21998,22426,22888,23325,23787,24292,24770,25251,25731,26249,26783,27270,27806,28368,28917,29478,30083,30617,31182,31714,32299,32923,33519,34100,34698,35330,35910,36547,37221,37810,38447,39077,39740,40397,41070,41692,42354,43028,43682,44402,45172,45895,46626,47365,48156,48930,49685,50436,51257,52105,52978,53800,54670,55531,56421,57306,58295,59259,60226,61194,62149,63100,64149,65151,66220,67221,68278,69303,70376,71461,72561,73699,74870,75954,77134,78295,79433,80597,81790,83027,84223,85500,86747,88041,89360,90749,92136,93473,94878,96332,97779,99238,100741,102248,103850,105409,106945,108613,110238,111945,113714,115383,117095,118867,120643,122481,124444,126344,128257,130294,132280,134282,136399,138513,140655,142785,145094,147314,149644,151969,154415,156690,159205,161707,164182,166737,169282,172005,174674,177320,180101,182834,185768,188657,191578,194498,197511,200512,203657,206838,210073,213353,216596,219906,223216,226615,230115,233677,237237,240770,244420,248105,251841,255536,259436,263223,267196,270999,274897,279007,283081,287088,291217,295307,299503,303706,307895,312132,316415,320814,325335,329847,334473,339104,343878,348608,353480,358348,363377,368399,373657,378885,384094,389433,394644,400211,405868,411548,417251,423019,428892,434915,441017,446971,453070,459352,465714,472085,478561,485171,491719,498584,505410,512321,519351,526498,533783,541166,548689,556239,563892,571509,579555,587709,595930,603994,612297,620676,629262,637728,646468,655242,664337,673295,682651,692131,701529,710942,720662,730503,740255,750255,760323,770610,780947,791604,802156,812891,823867,834760,845928,857183,868534,879866,891575,903349,915280,927217,939426,951726,964254,976952,989862,1002855,1015934,1028959,1042393,1055849,1069756,1083598,1097804,1112073,1126542,1141292,1156116,1171008,1186146,1201301,1216693,1232236,1247925,1263540,1279319,1295316,1311762,1328026,1344760,1361658,1378474,1395637,1412857,1430086,1447411,1465125,1482788,1500930,1518983,1537297,1555987,1574690,1593784,1612922,1631981,1651399,1671108,1690698,1710380,1730331,1750555,1771021,1791650,1812464,1833455,1854742,1875937,1897722,1919599,1941838,1963874,1986282,2008877,2031761,2054746,2078108,2101435
1,1,1,1,4,6,8,8,8,12,14,17,22,26,28,32,34,37,40,49,56,60,64,68,74,82,93,104,113,122,130,135,142,149,150,162,164,171,179,186,192,200,207,218,225,231,235,236,243,253,261,272,280,293,304,317,326,340,352,360,374,385,398,412,422,438,456,468,487,500,520,538,559,581,597,615,628,651,671,690,708,729,759,775,795,820,840,862,898,920,942,971,1000,1024,1048,1078,1102,1132,1168,1200,1231,1256,1291,1311,1341,1367,1395,1419,1449,1475,1512,1538,1565,1591,1624,1652,1676,1701,1726,1758,1790,1821,1854,1882,1919,1949,1985,2028,2074,2120,2156,2204,2263,2295,2327,2367,2413,2465,2527,2579,2638,2681,2740,2812,2873,2940,2986,3045,3120,3191,3268,3352,3441,3511,3577,3643,3711,3779,3858,3942,4022,4113,4200,4283,4377,4467,4548,4641,4728,4828,4930,5038,5137,5238,5352,5447,5545,5653,5762,5856,5963,6049,6168,6271,6371,6479,6573,6675,6779,6883,6983,7067,7175,7286,7403,7497,7618,7734,7852,8005,8138,8288,8432,8593,8738,8887,9028,9159,9319,9480,9630,9795,9944,10093,10265,10425,10583,10753,10918,11076,11260,11436,11609,11800,11994,12189,12401,12560,12751,12967,13208,13417,13628,13825,14028,14242,14425,14632,14878,15103,15333,15588,15824,16057,16315,16575,16824,17102,17352,17605,17849,18112,18356,18661,18949,19252,19565,19867,20129,20436,20773,21088,21412,21730,22075,22405,22758,23143,23483,23856,24240,24627,24975,25357,25719,26096,26472,26894,27280,27698,28096,28496,28937,29388,29803,30245,30701,31118,31566,32069,32510,32976,33451,33906,34398,34872,35389,35870,36439,36948,37483,38040,38535,39039,39542,40117,40664,41290,41858,42457,43054,43680,44331,44960,45626,46338,47007,47694,48395,49071,49794,50517,51194,51921,52668,53400,54126,54881,55680,56430,57166,57912,58727,59525,60361,61197,61952,62759,63605,64459,65272,66133,67056,67975,68908,69877,70862,71854,72866,73842,74804,75789,76798,77860,78954,80054,81102,82241,83390,84526,85711,86892,88144,89456,90710,92005,93335,94702,96072,97448,98840,100239,101657,103160,104645,106140,107725,109307,110898,112551,114197,115768,117420,119201,120916,122633,124327,126103,127874,129674,131548,133418,135306,137213,139242,141229,143374,145507,147577,149713,151927,154094,156320,158525,160768,163112,165450,167766,170096,172453,174931,177443,180067,182666,185285,187903,190513,193191,196056,198845,201675,204630,207607,210663,213734,216753,219950,223258,226668,229978,233268,236645,240137,243631,247259,250892,254625,258394,262218,266097,270113,274034,278026,282198,286289,290605,294912,299189,303705,308214,312864,317518,322207,327045,332034,336797,341741,346878,352107,357389,362802,368313,373869,379439,384941,390668,396474,402419,408477,414511,420691,426837,433145,439497,445914,452368,458935,465571,472313,479275,486186,493154,500155,507240,514479,521796,529221,536868,544444,552120,560007,567672,575757,583658,591697,599839,608298
1,1,1,1,3,5,6,7,10,12,13,13,13,15,16,16,19,22,22,22,27,31,33,37,38,41,54,60,65,73,81,90,105,116,129,139,155,166,174,185,190,199,210,215,225,232,241,249,267,278,289,298,307,323,334,345,353,369,382,389,402,415,426,439,458,468,487,507,520,536,547,565,583,597,613,632,652,665,687,709,726,736,753,766,785,792,810,822,837,849,867,876,898,908,927,946,958,974,985,1000,1015,1028,1039,1054,1067,1081,1096,1106,1116,1129,1141,1151,1165,1175,1188,1203,1216,1230,1244,1255,1264,1279,1290,1304,1317,1327,1334,1353,1363,1380,1394,1413,1434,1453,1470,1490,1508,1522,1537,1555,1579,1599,1624,1639,1670,1697,1717,1736,1750,1779,1813,1823,1843,1871,1894,1920,1943,1970,1985,2016,2037,2056,2077,2092,2112,2132,2147,2169,2197,2225,2245,2272,2291,2310,2330,2345,2372,2400,2428,2451,2476,2505,2525,2545,2566,2595,2623,2645,2660,2684,2703,2725,2745,2770,2797,2828,2858,2881,2912,2933,2970,2993,3014,3044,3076,3108,3142,3164,3191,3217,3248,3282,3318,3351,3383,3408,3437,3478,3503,3524,3550,3576,3608,3640,3667,3706,3739,3768,3806,3832,3858,3895,3923,3949,3989,4031,4073,4105,4128,4167,4206,4248,4287,4322,4365,4412,4472,4538,4592,4661,4712,4766,4823,4897,4963,5036,5109,5171,5237,5306,5363,5436,5508,5580,5653,5733,5835,5936,6047,6124,6235,6310,6389,6458,6541,6621,6692,6767,6852,6935,7022,7086,7158,7252,7354,7435,7518,7594,7685,7773,7863,7952,8055,8155,8264,8375,8490,8613,8741,8860,8969,9080,9201,9339,9498,9642,9797,9942,10062,10212,10362,10532,10704,10860,11045,11237,11420,11585,11760,11934,12123,12307,12504,12674,12874,13082,13302,13540,13773,14003,14252,14510,14758,15011,15312,15578,15861,16136,16418,16695,16984,17279,17618,17936,18291,18632,18954,19325,19679,20025,20398,20782,21170,21559,21927,22301,22698,23124,23563,23998,24466,24901,25344,25823,26326,26791,27285,27784,28314,28830,29378,29939,30555,31145,31752,32326,32911,33485,34107,34749,35421,36076,36684,37366,38087,38766,39402,40087,40760,41514,42274,43025,43827,44579,45376,46174,46980,47787,48618,49501,50340,51205,52140,53018,53985,54920,55867,56827,57805,58815,59891,60937,62020,63087,64206,65352,66514,67727,68898,70103,71362,72675,74000,75332,76684,78083,79459,80863,82297,83814,85353,86882,88407,89971,91541,93201,94780,96381,98087,99794,101542,103253,105009,106731,108532,110400,112293,114248,116249,118200,120284,122349,124422,126584,128701,130814,132989,135265,137449,139740,142153,144549,146899,149410,152047,154600,157259,159903,162635,165289,168167,171066,173843,176860,179827,182840,185844,188974,192133,195388,198663,201931,205340,208698,212072,215629,219191,222806,226374,230004,233641,237350,241174,245063,248875,252822,256820
1,1,1,1,1,1,2,4,5,8,10,12,13,15,17,19,21,24,27,32,34,40,48,56,64,69,79,88,90,99,101,110,122,130,140,150,157,172,183,189,194,202,212,220,230,244,253,266,277,291,298,307,320,329,347,358,376,389,409,431,444,464,494,523,549,575,610,638,663,695,721,748,779,814,844,872,900,936,973,1012,1048,1086,1135,1179,1210,1239,1273,1313,1350,1392,1435,1483,1525,1574,1618,1675,1737,1785,1846,1910,1969,2044,2108,2180,2251,2316,2392,2477,2565,2654,2743,2842,2930,3028,3134,3233,3348,3459,3558,3670,3782,3918,4022,4142,4281,4412,4533,4654,4806,4939,5090,5251,5378,5548,5687,5831,6026,6170,6311,6463,6644,6819,6983,7145,7298,7459,7623,7787,7944,8124,8293,8481,8637,8817,8971,9106,9255,9400,9599,9765,9948,10120,10280,10442,10635,10851,11049,11251,11434,11609,11798,11994,12173,12368,12551,12764,12956,13200,13434,13655,13904,14112,14333,14568,14824,15091,15302,15551,15767,16000,16215,16433,16657,16881,17125,17364,17606,17878,18145,18428,18703,18970,19224,19501,19773,20098,20382,20638,20953,21223,21540,21880,22162,22486,22806,23097,23436,23766,24089,24410,24752,25101,25454,25815,26120,26455,26771,27087,27424,27747,28095,28475,28865,29234,29628,29983,30372,30755,31141,31525,31910,32342,32776,33199,33621,34052,34470,34914,35359,35841,36312,36786,37260,37723,38242,38761,39254,39782,40308,40807,41353,41907,42405,42929,43460,44012,44602,45197,45731,46359,46943,47537,48183,48826,49455,50113,50776,51461,52167,52818,53471,54204,54895,55641,56403,57102,57804,58601,59369,60154,60971,61785,62550,63298,64078,64865,65703,66519,67347,68187,69026,69833,70670,71592,72496,73426,74323,75211,76126,77048,78032,79016,80024,81047,82012,82960,83954,85006,86082,87165,88205,89273,90327,91471,92674,93856,95106,96372,97641,98922,100195,101474,102752,104027,105325,106640,107965,109293,110700,112181,113602,115009,116469,117899,119359,120850,122450,124058,125593,127134,128846,130429,132046,133743,135445,137090,138796,140508,142274,144020,145824,147692,149504,151338,153208,155231,157219,159209,161216,163246,165318,167468,169655,171921,174146,176403,178648,180986,183371,185926,188378,190940,193420,195897,198430,201069,203755,206518,209325,212174,214973,217832,220673,223512,226504,229554,232577,235567,238654,241732,244786,247843,250997,254293,257494,260676,263820,267053,270465,273801,277269,280534,283945,287367,290894,294329,297930,301645,305282,309003,312739,316463,320191,323932,327893,331837,335863,339932,344006,348139,352384,356637,360918,365238,369746,374210,378840,383330,387928,392540,397250,401963,406699,411660,416554,421674,426776,431904,437231,442505,447799,453072,458560,464068,469649,475168,480849,486796,492541,498320,504367,510418,516401,522486,528647,535042,541443,547915,554485,561168,568008,574831,581723,588679,595887,603278,610572,618111,625672,633380,641109,648994,656720,664704,672896,681077,689282,697706,706289,714891,723607,732574,741809,750821,759995,769323,778694
1,1,1,1,1,1,3,4,4,4,6,6,9,12,15,18,21,25,28,31,36,40,44,55,60,67,77,81,90,100,111,120,124,132,136,147,156,161,166,172,180,184,191,197,203,213,222,230,235,237,241,245,250,251,257,265,271,278,280,283,287,291,295,298,308,315,321,324,331,343,353,362,369,385,395,401,414,422,432,444,462,477,487,497,509,524,534,550,569,581,597,618,638,648,666,687,707,726,740,772,800,825,850,884,910,933,967,1002,1028,1058,1094,1122,1152,1197,1225,1251,1295,1337,1376,1413,1444,1479,1510,1547,1586,1631,1661,1695,1740,1766,1791,1825,1853,1883,1914,1947,1980,2018,2056,2101,2156,2201,2244,2281,2316,2361,2409,2470,2517,2567,2614,2664,2717,2755,2811,2859,2909,2961,3019,3073,3136,3189,3232,3284,3343,3396,3445,3509,3563,3614,3667,3724,3788,3847,3900,3966,4031,4090,4144,4203,4258,4321,4387,4448,4509,4571,4631,4704,4787,4850,4921,4983,5060,5118,5191,5283,5357,5436,5523,5612,5694,5781,5855,5948,6045,6149,6251,6346,6459,6549,6670,6760,6868,6982,7102,7226,7337,7431,7557,7678,7817,7968,8105,8242,8394,8533,8684,8839,8978,9123,9264,9427,9587,9733,9901,10048,10207,10383,10534,10707,10861,11029,11202,11377,11538,11716,11911,12111,12310,12515,12725,12920,13123,13338,13573,13778,14002,14235,14462,14715,14976,15245,15466,15746,16032,16310,16576,16860,17121,17397,17687,17950,18242,18543,18818,19092,19386,19699,19978,20284,20583,20898,21187,21510,21812,22149,22497,22809,23188,23579,23941,24302,24674,25056,25417,25778,26146,26522,26946,27326,27710,28128,28540,28949,29386,29835,30231,30687,31142,31604,32059,32572,33068,33613,34098,34646,35176,35682,36219,36752,37333,37942,38568,39190,39818,40452,41103,41727,42361,43049,43781,44437,45142,45865,46573,47312,48072,48814,49549,50305,51070,51913,52709,53513,54326,55136,56066,56978,57900,58782,59699,60661,61623,62578,63573,64607,65598,66648,67747,68852,69919,71061,72202,73401,74622,75878,77085,78346,79635,80926,82285,83715,85017,86440,87857,89286,90748,92198,93694,95159,96684,98207,99726,101315,102954,104572,106245,107882,109539,111242,112988,114756,116532,118401,120222,122170,124070,126160,128073,130136,132191,134251,136367,138521,140763,142961,145211,147538,149847,152315,154675,157126,159466,161913,164412,166931,169426,172010,174518,177142,179816,182447,185244,187988,190752,193518,196330,199238,202171,205184,208203,211230,214290,217502,220693,223937,227281,230663,234152,237623,241244,244913,248595,252278,255998,259797,263653,267664,271605,275620,279745,284065,288418,292791,297238,301717,306241,310957,315584,320444,325465,330367,335421,340512,345598,350873,356238,361627,367129,372565,378083,383767,389440,395261,401106,407038,412970,418866,425072,431369,437597,443943,450412,456884,463451,470397,477229,484111,491013,498090,505212,512260,519881,527343,534927,542605,550381
1,1,1,1,1,1,2,4,5,7,9,9,12,13,14,14,16,17,24,32,36,42,46,51,58,65,69,80,92,104,112,124,131,142,150,159,167,178,187,192,200,203,216,223,236,243,253,261,266,272,278,285,289,294,299,306,310,315,319,324,330,335,339,339,346,351,356,363,370,381,392,401,411,422,438,442,457,470,484,502,525,555,573,599,614,636,654,679,709,736,757,784,809,854,884,918,955,987,1028,1060,1101,1136,1176,1213,1250,1290,1320,1361,1408,1454,1502,1548,1595,1637,1694,1741,1792,1851,1910,1966,2008,2056,2097,2147,2199,2250,2298,2359,2408,2463,2506,2562,2609,2663,2709,2754,2815,2877,2929,2991,3060,3128,3184,3239,3305,3366,3444,3530,3603,3679,3752,3837,3912,3981,4069,4178,4261,4341,4427,4513,4610,4717,4825,4939,5050,5158,5269,5373,5480,5596,5689,5817,5922,6044,6164,6279,6401,6521,6677,6809,6919,7031,7141,7256,7387,7492,7613,7731,7861,7969,8110,8248,8375,8504,8640,8760,8912,9043,9169,9289,9427,9598,9749,9912,10083,10229,10405,10554,10715,10881,11041,11181,11369,11531,11708,11875,12039,12207,12360,12518,12698,12875,13048,13207,13391,13587,13790,14010,14189,14396,14597,14772,14969,15172,15364,15553,15776,15993,16229,16455,16675,16890,17140,17357,17606,17855,18127,18363,18629,18887,19174,19466,19736,20043,20350,20639,20942,21254,21552,21859,22161,22505,22825,23153,23480,23797,24193,24552,24933,25294,25687,26058,26457,26854,27203,27602,27996,28401,28785,29195,29580,29973,30404,30795,31218,31674,32139,32607,33087,33537,33979,34431,34972,35479,35979,36510,37000,37528,38067,38598,39111,39652,40223,40794,41356,41987,42610,43247,43900,44455,45095,45751,46371,47016,47677,48337,49037,49734,50430,51137,51778,52535,53290,54054,54793,55571,56340,57155,57972,58748,59594,60432,61307,62201,63147,64011,64942,65887,66852,67789,68732,69695,70670,71711,72747,73771,74798,75902,76978,78059,79193,80336,81489,82622,83717,84862,86045,87205,88450,89729,91006,92313,93643,94972,96296,97566,98869,100174,101503,102845,104202,105625,107109,108513,110018,111457,112983,114547,116124,117719,119295,120861,122529,124216,125931,127615,129298,131114,132831,134653,136502,138261,140134,142036,143925,145860,147827,149787,151816,153889,155968,158072,160154,162281,164451,166637,168861,171129,173404,175709,178093,180456,182855,185402,187923,190453,192911,195491,198167,200774,203468,206112,208901,211654,214428,217254,220115,223118,226194,229285,232326,235500,238671,241939,245225,248417,251779,255183,258666,262184,265818,269367,273200,276869,280758,284695,288632,292596,296692,300934,305169,309520,313894,318334,322852,327407,332111,336853,341589,346399,351270,356128,361303,366394,371768,377066,382387,387758,393380,398907,404708,410493,416433,422461,428389,434482,440794,447002,453355,459934,466432,473161,480064,486830,493814,500787,507889,515162,522460,529790,537344,544796,552574,560434,568321,576328,584380
1,1,1,1,1,2,2,2,3,5,6,9,10,10,10,10,10,12,13,16,16,17,20,21,23,24,25,28,32,33,33,35,40,46,52,56,59,64,74,81,89,97,104,111,121,125,137,148,157,166,172,180,184,186,191,196,204,214,223,230,235,241,256,265,275,283,295,307,313,326,339,345,352,364,381,392,402,414,426,439,459,475,497,517,537,564,585,609,631,655,674,700,716,736,761,782,808,827,855,878,900,924,955,987,1022,1058,1094,1129,1171,1217,1269,1317,1367,1417,1482,1546,1619,1699,1757,1830,1917,1995,2070,2144,2232,2333,2423,2527,2617,2708,2784,2865,2958,3047,3119,3203,3309,3400,3493,3585,3664,3756,3853,3962,4072,4177,4276,4365,4450,4554,4660,4757,4863,4961,5086,5185,5321,5444,5552,5693,5809,5923,6054,6169,6290,6422,6552,6710,6835,6989,7141,7284,7441,7602,7753,7895,8057,8223,8377,8547,8688,8868,9029,9175,9321,9513,9689,9860,10039,10211,10401,10599,10777,10948,11139,11339,11533,11721,11905,12114,12333,12571,12847,13078,13346,13595,13836,14097,14356,14627,14902,15234,15539,15854,16144,16489,16792,17099,17416,17759,18081,18407,18797,19137,19492,19832,20232,20606,20998,21415,21864,22280,22678,23089,23500,23926,24362,24815,25239,25667,26122,26564,26999,27439,27902,28345,28775,29265,29741,30224,30720,31220,31706,32243,32788,33291,33811,34345,34886,35389,35945,36472,37063,37667,38287,38912,39538,40140,40755,41403,42031,42694,43373,44051,44756,45431,46146,46919,47653,48421,49176,50011,50767,51555,52378,53219,54026,54879,55749,56613,57485,58409,59405,60377,61345,62375,63372,64381,65365,66462,67533,68589,69751,70880,72007,73174,74372,75568,76761,78012,79281,80582,81908,83265,84562,85944,87311,88811,90264,91721,93188,94793,96260,97862,99481,101130,102836,104554,106219,107952,109759,111541,113424,115327,117235,119079,121115,123060,125046,127057,129047,131099,133170,135318,137418,139725,142027,144309,146575,148886,151242,153656,156120,158660,161124,163871,166579,169234,171909,174664,177398,180298,183130,186011,188991,192058,195060,198198,201267,204244,207383,210573,213934,217274,220699,224045,227473,230815,234283,237822,241366,244953,248592,252295,255955,259776,263600,267564,271490,275518,279552,283658,287866,292181,296605,300952,305394,309791,314373,318937,323535,328207,333065,337787,342700,347570,352585,357557,362585,367772,372840,377971,383133,388501,393810,399282,404728,410358,416083,421928,427879,433714,439819,445898,451932,457905,464165,470587,477137,483712,490227,496820,503560,510459,517395,524446,531417,538580,545938,553276,560785,568308,575825,583487,591371,599334,607375,615470,623785,632233,640624,649334,657958,666889,675727,684874,693974,703177,712414,721642,731399,741124,751010,760973,771085,781129,791406,801731,812240,822695,833425,844269,855039,866100,877144,888460,899540,910948,922617,934343,946090,958423,970416,982401,994760,1007248,1019842,1032444,1045396,1058600,1071957,1085156,1098839,1112336,1126151,1139932,1154117
1,1,1,1,1,1,3,4,7,7,7,9,10,10,10,10,11,11,16,20,24,25,30,31,32,38,46,50,61,67,74,85,101,112,122,130,137,142,151,160,170,185,193,202,212,219,227,235,247,255,270,278,287,295,312,327,346,363,375,387,402,412,438,455,476,490,509,526,543,566,590,612,648,676,701,728,754,780,811,836,862,894,927,957,985,1009,1037,1066,1086,1116,1153,1194,1228,1265,1301,1340,1372,1421,1474,1520,1569,1601,1648,1706,1753,1810,1867,1945,1991,2061,2136,2199,2296,2369,2441,2519,2613,2698,2778,2883,2970,3060,3154,3260,3363,3473,3563,3652,3760,3847,3956,4064,4176,4276,4363,4456,4573,4706,4819,4934,5049,5163,5295,5415,5542,5658,5761,5889,6017,6151,6271,6413,6556,6688,6832,6954,7109,7253,7412,7541,7654,7788,7929,8074,8218,8359,8524,8664,8822,8970,9134,9294,9418,9565,9715,9862,10014,10178,10349,10522,10697,10868,11030,11211,11354,11511,11696,11880,12079,12260,12439,12623,12811,13020,13218,13388,13596,13807,14003,14222,14395,14593,14814,15015,15219,15434,15641,15861,16102,16336,16554,16777,17002,17249,17486,17731,17978,18218,18444,18676,18915,19177,19444,19705,19966,20256,20532,20807,21078,21386,21651,21959,22249,22528,22814,23099,23404,23700,24009,24324,24640,24956,25260,25578,25870,26173,26515,26863,27197,27527,27847,28158,28497,28835,29202,29557,29915,30236,30573,30940,31295,31664,32056,32471,32880,33324,33742,34135,34559,34965,35387,35835,36266,36722,37184,37671,38189,38689,39178,39691,40269,40804,41376,41980,42615,43289,43888,44554,45215,45897,46583,47244,47902,48640,49428,50230,51052,51842,52670,53542,54368,55260,56119,57000,57882,58750,59688,60644,61612,62623,63578,64567,65561,66558,67560,68623,69606,70635,71740,72837,74035,75140,76262,77376,78555,79760,80993,82295,83550,84824,86118,87417,88747,90101,91474,92812,94176,95634,97055,98556,100092,101627,103251,104865,106481,108142,109800,111466,113158,114904,116703,118483,120322,122140,124019,125945,127952,129918,131830,133811,135923,138049,140177,142330,144562,146810,149100,151412,153747,156029,158420,160808,163223,165715,168247,170786,173474,176181,178884,181653,184543,187466,190350,193327,196449,199525,202709,205927,209079,212465,215806,219242,222832,226449,230167,233784,237531,241295,245249,249277,253268,257318,261396,265551,269723,274054,278412,282838,287489,292103,296838,301542,306294,311133,316072,321022,326017,331158,336372,341459,346733,352017,357384,362782,368158,373664,379054,384648,390317,395998,401919,407683,413594,419473,425518,431709,437800,443997,450365,456807,463405,469971,476592,483326,490109,496933,503933,511074,518371,525720,532977,540478,547983,555490,563112,571016,579082,587207,595407,603553,611932,620392,629078,637785,646509,655320,664251,673409,682730,691931,701208,710811,720482,730363,740333,750422,760585,770798,781302,791926,802800,813484,824349,835652,846829,857939,869221,880791,892662,904505,916504,928657,940884,953137,965358,977946,990726
1,1,1,3,3,8,9,10,16,24,26,27,30,31,32,35,38,43,47,51,54,58,70,80,84,93,105,111,119,125,135,146,157,167,179,188,205,213,222,231,240,251,256,262,264,275,287,298,306,316,322,332,339,351,357,368,379,394,409,429,440,452,471,485,496,511,527,541,551,569,587,604,624,642,663,680,699,723,747,766,782,793,807,821,836,854,867,876,886,907,927,953,977,1013,1038,1065,1101,1126,1150,1179,1216,1261,1310,1353,1392,1436,1480,1514,1553,1612,1663,1732,1777,1855,1910,1980,2064,2125,2194,2270,2351,2412,2492,2594,2688,2774,2864,2968,3072,3160,3251,3357,3473,3596,3712,3809,3935,4048,4150,4274,4415,4548,4692,4810,4952,5088,5229,5386,5527,5686,5830,5972,6120,6288,6444,6609,6762,6926,7101,7268,7455,7626,7844,8044,8219,8393,8594,8779,8980,9174,9345,9526,9714,9922,10142,10338,10544,10743,10919,11094,11299,11510,11697,11919,12140,12370,12568,12771,12987,13216,13424,13661,13890,14097,14312,14538,14770,15023,15277,15519,15745,16011,16268,16524,16787,17067,17304,17596,17892,18193,18502,18759,19079,19407,19730,20040,20390,20712,21055,21368,21728,22031,22390,22800,23168,23551,23969,24376,24746,25151,25514,25915,26336,26751,27162,27587,28023,28441,28897,29343,29716,30160,30580,30999,31471,31901,32362,32793,33250,33723,34157,34610,35092,35613,36104,36655,37200,37753,38287,38841,39381,39926,40553,41161,41780,42420,43078,43776,44441,45113,45803,46516,47226,47920,48599,49310,50061,50809,51573,52363,53196,54038,54868,55664,56545,57345,58266,59177,60021,60903,61766,62635,63515,64430,65293,66254,67250,68216,69219,70234,71243,72342,73433,74498,75629,76798,77978,79100,80238,81366,82578,83765,85029,86308,87559,88862,90123,91454,92832,94156,95502,96870,98207,99632,101068,102474,103967,105414,106991,108477,110013,111604,113182,114893,116623,118269,120002,121694,123454,125258,127095,128963,130841,132788,134809,136794,138846,140919,143145,145258,147475,149796,152082,154335,156683,159030,161504,163963,166557,169093,171717,174297,176879,179554,182266,185035,187856,190699,193565,196533,199559,202572,205657,208760,211875,215050,218265,221531,224918,228287,231705,235073,238554,242100,245600,249250,252893,256618,260428,264183,267942,271768,275628,279621,283559,287539,291734,295987,300116,304377,308559,312850,317242,321598,326134,330839,335415,340076,344682,349514,354571,359501,364590,369670,374733,379937,385140,390304,395672,401139,406637,412264,418013,423740,429510,435365,441495,447610,453724,459894,466107,472436,478963,485399,491863,498518,505156,511812,518464,525424,532167,539243,546452,553730,561066,568505,575905,583375,590850,598629,606425,614254,622051,629935,638076,646056,654191,662468,671043,679611,688283,697134,706010,714972,724108,733463,742755,751984,761395,771149,780685,790559,800492,810658,820871,831128,841531,852036,862661,873429,884306,895310,906459,917567,929088,940516,952326,964319,976291,988290,1000363,1012678,1025061,1037849,1050516,1063375,1076443
1,1,1,1,1,2,3,5,7,11,12,13,14,16,21,24,28,33,38,45,50,59,64,70,78,84,90,99,106,116,131,136,142,158,169,180,186,197,206,215,223,234,249,254,269,289,302,330,348,369,389,409,430,460,481,509,537,565,592,632,670,705,734,776,815,849,896,939,992,1035,1089,1129,1184,1230,1286,1340,1414,1477,1542,1606,1672,1721,1788,1850,1916,1967,2036,2126,2201,2275,2346,2421,2497,2562,2626,2704,2776,2849,2935,3001,3083,3166,3258,3351,3453,3524,3630,3724,3831,3913,4018,4124,4224,4340,4448,4568,4685,4797,4934,5063,5186,5306,5414,5542,5686,5826,5975,6091,6205,6333,6451,6598,6763,6904,7082,7219,7368,7516,7667,7824,7967,8137,8303,8480,8684,8869,9052,9218,9400,9609,9796,10008,10207,10442,10684,10919,11163,11434,11704,11970,12218,12472,12722,13008,13298,13621,13888,14170,14477,14780,15039,15343,15658,15967,16289,16590,16911,17227,17551,17870,18204,18527,18857,19203,19546,19867,20202,20550,20890,21237,21616,21975,22341,22720,23086,23500,23887,24279,24681,25083,25504,25941,26350,26787,27216,27644,28086,28516,28973,29429,29904,30380,30854,31369,31859,32385,32922,33446,34025,34619,35221,35788,36358,36950,37561,38166,38812,39471,40152,40850,41588,42329,43028,43782,44519,45297,46046,46845,47678,48435,49309,50108,50988,51850,52713,53578,54494,55360,56290,57138,58045,58997,59928,60869,61762,62734,63721,64765,65794,66842,67877,68982,70062,71196,72326,73467,74637,75827,76982,78218,79464,80760,82084,83382,84756,86134,87499,88861,90398,91845,93269,94750,96320,97970,99616,101182,102847,104498,106243,107926,109610,111441,113250,115095,116868,118833,120737,122587,124540,126554,128593,130659,132744,134825,137024,139110,141230,143310,145549,147759,149982,152343,154750,157113,159523,162020,164516,167004,169439,171966,174611,177245,179857,182599,185287,188006,190879,193748,196739,199613,202719,205747,208868,212082,215258,218531,221781,225166,228486,231879,235381,238752,242210,245858,249577,253247,256914,260834,264802,268572,272549,276506,280536,284678,289012,293335,297627,301926,306370,311060,315668,320357,325055,329880,334862,339931,345023,350184,355513,360758,366030,371431,376893,382501,388306,394067,399899,405827,411969,418087,424228,430571,437008,443585,450157,456811,463735,470655,477647,484701,492102,499518,506773,514383,521936,529603,537431,545291,553265,561308,569512,578076,586547,595074,603735,612516,621376,630356,639618,648823,658186,667761,677197,686845,696671,706662,716952,727161,737497,747912,758245,768769,779496,790500,801420,812687,824128,835647,847353,859244,871122,883376,895555,908005,920706,933524,946558,959661,972868,986206,999816,1013379,1027174,1041185,1055200,1069325,1083674,1098161,1112779,1127777,1142744,1157815,1172842,1188120,1203670,1219412,1235376,1251365,1267846,1284119,1300783,1317322,1334209,1351273,1368468,1386248,1404051,1422068,1440097,1458253,1476757,1495557,1514462,1533749,1553101,1572758,1592649,1612597,1632848,1653342,1673890,1694679,1715787,1737040,1758618,1780476,1802320,1824482,1846807,1869172,1891913,1914953,1937927,1961257,1984949,2008701,2032493
1,1,1,1,1,1,1,1,1,3,4,6,9,10,11,14,18,21,25,26,28,33,36,37,39,39,43,46,51,58,66,75,81,88,91,98,104,112,120,126,133,142,157,165,179,187,192,201,211,223,229,240,249,259,270,277,277,281,286,292,299,309,316,322,337,344,367,382,395,416,440,451,469,487,502,522,548,564,582,598,620,644,669,686,718,739,774,799,839,869,905,942,969,1010,1059,1110,1158,1203,1260,1326,1405,1463,1515,1571,1635,1698,1771,1839,1928,2011,2092,2160,2247,2340,2428,2500,2587,2683,2781,2869,2963,3047,3137,3214,3305,3400,3489,3594,3698,3793,3893,3992,4079,4179,4282,4376,4490,4613,4732,4858,4989,5119,5290,5436,5603,5751,5915,6094,6257,6427,6624,6821,6995,7212,7409,7623,7826,8041,8284,8509,8729,8932,9183,9418,9643,9900,10156,10412,10680,10909,11183,11437,11680,11971,12223,12491,12759,13091,13399,13660,13933,14218,14526,14847,15137,15468,15765,16098,16352,16672,17001,17307,17630,17950,18272,18626,18985,19322,19658,19981,20339,20689,21051,21444,21839,22249,22626,23021,23430,23865,24345,24768,25247,25698,26178,26697,27191,27697,28218,28764,29313,29877,30469,31055,31674,32305,32949,33565,34216,34892,35557,36224,36908,37577,38240,38929,39666,40363,41104,41832,42610,43372,44091,44914,45674,46475,47237,48000,48834,49680,50450,51299,52172,53100,53928,54836,55755,56659,57560,58479,59424,60390,61329,62259,63237,64218,65266,66303,67403,68459,69546,70613,71713,72809,73916,75011,76178,77342,78496,79672,80888,82052,83272,84479,85674,86920,88156,89361,90671,91953,93218,94571,95968,97405,98749,100077,101519,103012,104536,106043,107555,109139,110684,112345,114021,115702,117414,119217,121106,122997,124896,126737,128593,130514,132499,134546,136589,138744,140870,143108,145308,147473,149714,151977,154284,156582,158993,161382,163905,166369,168871,171413,174030,176676,179327,182122,184936,187836,190743,193627,196629,199568,202643,205795,208893,212114,215374,218599,221859,225161,228477,231867,235369,239009,242605,246253,249941,253638,257436,261284,265030,268902,272915,276898,281070,285374,289715,293990,298380,302762,307222,311780,316254,321137,325781,330665,335675,340565,345728,350807,356144,361488,366790,372285,377828,383420,388973,394684,400259,405926,411879,417842,423739,429851,435989,442180,448462,454669,460953,467337,473769,480416,486834,493316,499993,506708,513617,520436,527378,534410,541445,548742,556064,563512,571108,578702,586241,594040,601719,609546,617637,625788,634115,642497,651010,659582,668263,677103,686121,695056,704329,713720,723194,732790,742485,752385,762326,772356,782697,793127,803650,814196,825002,835899,847017,858118,869628,881130,892501,904076,915843,927679,939679,951810,964153,976626,989235,1002051,1015030,1028150,1041354,1054908,1068683,1082510,1096706,1110956,1125279,1139866,1154624,1169480,1184521,1199872,1215276,1230937,1246721,1262741,1279038,1295442,1312513,1329629,1346656,1363865,1381260,1398857,1416951,1435168,1453406,1471954,1490435,1509193,1528004,1547181,1566461,1586125,1605819,1625576,1645820
1,1,1,1,1,1,1,1,1,3,4,4,5,6,9,12,13,15,15,16,17,21,24,29,32,37,41,45,49,51,58,61,65,71,75,85,90,99,115,119,132,141,149,156,166,176,180,191,199,206,217,228,230,239,246,258,267,275,283,288,295,305,309,318,326,329,340,349,359,366,371,378,386,397,406,418,434,456,475,494,517,532,544,559,578,593,611,622,642,660,691,712,724,749,768,792,818,846,872,889,918,946,972,998,1016,1039,1070,1097,1127,1155,1177,1196,1218,1243,1268,1303,1338,1377,1407,1445,1481,1517,1547,1580,1617,1647,1670,1703,1733,1767,1807,1846,1873,1903,1929,1956,1989,2009,2033,2058,2080,2106,2138,2172,2208,2236,2268,2308,2349,2385,2419,2460,2507,2568,2611,2668,2723,2776,2835,2902,2960,3017,3095,3186,3265,3350,3442,3538,3617,3704,3794,3898,3969,4054,4167,4274,4392,4492,4601,4722,4828,4925,5022,5114,5227,5345,5487,5616,5740,5859,6002,6126,6248,6367,6493,6635,6768,6900,7049,7185,7350,7482,7638,7791,7939,8096,8275,8456,8616,8778,8958,9159,9355,9548,9739,9931,10124,10305,10490,10709,10946,11154,11397,11658,11912,12165,12434,12688,12963,13223,13493,13786,14070,14322,14646,14958,15272,15555,15863,16194,16527,16860,17179,17501,17884,18232,18541,18887,19238,19595,19952,20306,20692,21092,21504,21896,22296,22723,23156,23586,24060,24555,25017,25502,26030,26519,27008,27472,27956,28442,28961,29534,30094,30648,31253,31886,32482,33090,33699,34329,34942,35618,36262,36916,37608,38277,38921,39620,40317,41081,41831,42597,43364,44103,44896,45700,46474,47276,48102,48890,49740,50594,51437,52244,53091,53997,54902,55811,56759,57708,58651,59642,60683,61703,62698,63749,64790,65885,67041,68125,69270,70423,71668,72895,74077,75335,76632,77988,79300,80672,82036,83491,84883,86423,87905,89435,90989,92586,94162,95723,97347,98971,100649,102348,104047,105741,107461,109206,110889,112631,114415,116220,118042,119892,121807,123756,125690,127687,129748,131789,133886,136035,138125,140318,142591,144907,147252,149532,151883,154317,156808,159296,161783,164292,166896,169573,172213,174952,177679,180494,183343,186212,189152,192102,195078,198120,201173,204408,207623,210898,214189,217505,220964,224383,227866,231358,234975,238483,242188,245865,249640,253373,257299,261125,265013,268998,272857,276744,280704,284829,288924,293085,297314,301646,305965,310279,314750,319310,323795,328395,333055,337719,342626,347479,352304,357294,362296,367425,372722,378002,383272,388624,394150,399826,405475,411197,417148,423005,429024,434875,441053,447172,453431,459750,466039,472627,479245,485845,492458,499273,506096,512963,519914,526980,534216,541447,548802,556241,563605,571322,579020,586611,594400,602275,610355,618264,626465,634768,643135,651611,660212,668824,677472,686212,695330,704330,713604,722914,732515,742010,751548,761163,770816,780630,790675,800828,811084,821484,832042,842491,853075,863852,874751,885640,896509,907667,918832
1,1,1,1,1,2,2,2,3,3,3,4,4,8,10,11,12,13,14,15,19,24,26,33,38,44,49,55,62,68,78,83,92,101,104,114,120,129,136,150,156,166,175,184,198,210,223,235,247,261,269,279,292,308,321,332,347,354,368,385,402,415,428,443,457,474,497,512,534,560,589,606,629,657,678,703,734,757,778,800,825,844,857,880,900,917,932,953,982,1007,1037,1070,1095,1120,1148,1168,1193,1216,1248,1284,1313,1349,1378,1413,1448,1493,1531,1567,1608,1636,1674,1709,1738,1779,1823,1868,1911,1948,1974,2017,2051,2095,2144,2190,2232,2279,2329,2377,2423,2468,2524,2571,2626,2683,2738,2806,2882,2943,3000,3063,3119,3169,3232,3297,3354,3398,3458,3534,3602,3663,3725,3793,3868,3936,4003,4071,4136,4213,4299,4363,4434,4524,4603,4690,4769,4846,4934,5034,5117,5212,5297,5377,5469,5579,5687,5796,5903,6015,6113,6221,6330,6434,6534,6656,6783,6889,6991,7133,7236,7360,7464,7581,7693,7833,7974,8082,8203,8324,8438,8552,8673,8790,8912,9027,9152,9256,9362,9479,9596,9704,9812,9906,10010,10106,10211,10313,10434,10537,10654,10783,10926,11057,11176,11313,11457,11594,11750,11886,12043,12228,12379,12539,12711,12869,13060,13255,13454,13675,13878,14113,14334,14570,14809,15063,15307,15545,15787,16041,16295,16550,16837,17088,17362,17654,17963,18249,18558,18865,19193,19525,19824,20167,20489,20837,21222,21582,21981,22342,22717,23109,23544,23938,24344,24813,25247,25635,26073,26528,26959,27402,27827,28291,28731,29181,29671,30148,30646,31129,31611,32133,32671,33226,33801,34357,34930,35517,36172,36825,37424,38133,38813,39473,40205,40952,41714,42482,43301,44097,44899,45692,46453,47253,48086,48909,49752,50622,51504,52357,53295,54225,55160,56082,57017,57998,58992,60007,61014,62005,63040,64109,65128,66219,67255,68383,69505,70644,71797,72941,74125,75231,76454,77687,78929,80221,81540,82848,84275,85653,87073,88510,89959,91383,92903,94387,95899,97468,99098,100710,102328,104011,105667,107319,109113,110864,112634,114424,116189,117929,119858,121781,123667,125534,127480,129460,131440,133449,135502,137545,139780,141966,144234,146531,148811,151207,153671,156171,158604,161120,163695,166218,168834,171415,174053,176761,179517,182259,184957,187829,190713,193606,196603,199681,202634,205737,208783,211938,215129,218355,221566,224818,228151,231559,235014,238488,241966,245559,249163,252987,256773,260493,264357,268330,272206,276276,280419,284634,288822,293111,297458,301936,306401,311054,315739,320223,324825,329638,334469,339196,344184,349091,353984,359122,364270,369379,374555,379887,385305,390639,396227,401783,407383,413158,418955,424742,430683,436705,442738,448945,455210,461484,467975,474593,481255,487965,494651,501583,508573,515634,522728,530066,537494,545123,552596,560219,568158,576117,584130,592211,600434,608700,617042,625615,634450,643308,652376,661419,670589,679884,689364,698922,708511,718461,728277,737998,748051,758268,768605
1,1,1,2,4,4,4,4,7,12,15,19,22,27,30,33,36,39,40,44,48,55,58,62,67,78,86,93,104,114,121,126,134,148,161,170,181,193,201,211,223,231,239,245,254,265,274,281,294,304,314,327,342,362,372,387,401,414,427,445,464,483,506,519,539,564,587,603,623,644,667,688,715,735,751,770,782,793,812,835,867,890,916,939,958,986,1009,1032,1056,1081,1108,1127,1163,1195,1221,1256,1298,1336,1367,1402,1430,1471,1518,1552,1594,1638,1690,1734,1794,1851,1913,1972,2033,2095,2168,2240,2303,2370,2460,2532,2617,2700,2777,2854,2940,3026,3117,3217,3319,3452,3573,3689,3784,3915,4038,4156,4277,4395,4513,4639,4770,4910,5062,5198,5349,5508,5642,5794,5937,6103,6243,6407,6569,6727,6914,7069,7241,7432,7613,7798,8008,8192,8407,8601,8774,8965,9147,9346,9552,9775,10030,10247,10480,10673,10897,11171,11409,11652,11895,12133,12411,12692,12953,13262,13575,13883,14210,14514,14873,15255,15631,16005,16403,16762,17114,17497,17930,18400,18791,19206,19629,19992,20447,20891,21313,21753,22170,22643,23094,23553,24026,24503,24931,25430,25903,26428,26985,27471,28026,28610,29212,29852,30463,31094,31715,32368,33017,33712,34375,35137,35877,36671,37445,38232,39030,39886,40686,41524,42325,43189,44056,44876,45743,46614,47544,48434,49397,50364,51294,52251,53167,54126,55126,56156,57198,58220,59257,60373,61452,62499,63589,64649,65804,67010,68131,69352,70585,71833,73168,74481,75822,77185,78514,79927,81320,82762,84274,85753,87200,88717,90223,91783,93340,94931,96612,98203,99866,101596,103365,105161,106991,108811,110619,112468,114290,116140,118051,119935,121895,124001,126043,128110,130127,132212,134257,136479,138648,140889,143186,145575,147940,150325,152808,155245,157741,160279,162881,165534,168210,170840,173533,176350,179235,182150,185067,188056,191199,194305,197416,200685,203877,207154,210489,213930,217416,220943,224435,228129,231744,235338,239089,242800,246479,250220,254023,257812,261667,265545,269421,273346,277281,281257,285291,289333,293402,297569,301897,306239,310460,314953,319471,323991,328637,333287,338043,342892,347711,352616,357663,362790,368159,373468,378810,384157,389721,395207,400658,406376,412060,417776,423757,429725,435771,441985,448278,454725,461225,467778,474299,481052,487738,494558,501626,508660,515728,523106,530465,537974,545417,552913,560531,568433,576253,584277,592373,600647,609072,617209,625585,634154,642865,651583,660556,669725,678802,688063,697477,706783,716232,725977,736016,746071,756269,766291,776541,787223,797867,808766,819725,830643,842183,853598,865313,877225,889386,901399,913810,926231,938707,951370,964212,977237,990397,1003932,1017352,1031039,1044753,1058541,1072358,1086558,1100866,1115467,1130151,1144875,1159957,1175281,1190517,1205963,1221639,1237358,1253202,1269345,1285516,1301895,1318566,1335019,1352071,1369201,1386364,1403448,1420923,1438578,1456166,1474189,1492489,1511027,1529727,1548309,1567012,1586052,1605390,1625004,1644688,1664595,1684633,1705006,1725749,1746545,1767297,1788582,1810090,1831621,1853332,1874948,1897055,1919116,1941312
1,1,1,1,1,1,2,5,8,11,13,15,15,15,17,20,21,23,25,28,35,39,46,55,58,61,68,76,83,86,97,106,120,129,140,147,158,172,182,191,196,202,210,213,220,225,227,233,241,247,253,257,263,265,268,269,273,277,282,295,300,302,310,319,328,331,334,340,349,355,360,369,374,381,389,397,406,417,425,433,446,461,473,482,494,504,518,526,538,554,562,575,583,596,624,649,677,703,726,752,774,786,806,842,871,902,930,963,1002,1033,1066,1113,1149,1199,1241,1281,1328,1368,1409,1446,1486,1526,1580,1623,1673,1729,1776,1832,1878,1926,1979,2029,2085,2147,2197,2250,2316,2362,2428,2502,2581,2660,2730,2795,2870,2938,3014,3085,3169,3258,3333,3425,3522,3621,3728,3818,3924,4029,4142,4277,4391,4522,4638,4755,4909,5070,5228,5394,5549,5729,5902,6081,6263,6445,6653,6846,7058,7259,7474,7695,7903,8151,8386,8588,8825,9054,9288,9526,9754,9998,10236,10491,10706,10945,11203,11433,11665,11890,12138,12365,12633,12872,13116,13398,13681,13940,14166,14409,14670,14950,15217,15478,15750,16003,16287,16568,16876,17173,17483,17833,18145,18492,18855,19209,19566,19919,20303,20711,21119,21536,21980,22480,22961,23427,23873,24327,24827,25350,25826,26343,26842,27364,27874,28434,28984,29577,30145,30737,31353,31907,32484,33103,33725,34389,35051,35701,36321,36970,37699,38417,39137,39802,40498,41184,41894,42719,43483,44239,45018,45827,46580,47392,48248,49065,49917,50772,51655,52545,53443,54326,55198,56108,57067,58042,59031,59991,60981,62018,63095,64099,65161,66226,67408,68508,69600,70789,71977,73140,74356,75578,76795,78087,79302,80551,81818,83103,84437,85732,87052,88461,89866,91266,92746,94240,95696,97283,98782,100271,101857,103505,105135,106782,108441,110122,111835,113583,115287,117071,118849,120558,122335,124166,126007,127999,129860,131808,133743,135791,137788,139900,141972,144029,146089,148192,150393,152562,154769,157014,159254,161582,163865,166186,168507,170831,173201,175579,178008,180437,182934,185461,188038,190642,193250,195905,198600,201298,204076,206850,209772,212607,215640,218670,221678,224676,227755,230826,234045,237347,240603,243933,247258,250616,253972,257568,260984,264483,268009,271643,275353,279091,282762,286566,290412,294367,298253,302242,306243,310319,314506,318683,322957,327361,331757,336125,340690,345212,349788,354412,359192,364142,369036,373938,378963,383913,389003,394166,399371,404710,409998,415282,420783,426227,431868,437685,443259,449048,454952,460905,467087,473211,479500,485727,492057,498395,504719,511294,517897,524530,531201,537857,544659,551564,558606,565808,573057,580347,587518,594809,602257,609961,617703,625420,633462,641501,649678,657917,666205,674541,683129,691690,700290,709010,717851,726928,736199,745382,754837,764298,773960,783503,793156,803189,813069,823235,833484,843861,854409,865068,875909,886635,897600,908732,920026,931366,942971,954382,966091,977972,989996,1002288,1014777,1027358,1040016,1052984,1065959,1079219,1092564
1,1,1,1,1,3,3,6,7,8,9,10,11,13,15,18,19,23,26,26,30,31,34,43,47,53,60,69,74,79,86,89,99,104,109,116,124,136,145,154,165,170,180,194,210,218,230,242,250,256,268,276,290,304,318,325,335,350,360,365,375,381,403,424,438,459,483,498,515,531,557,576,601,627,657,673,693,735,767,807,842,876,918,954,989,1037,1085,1118,1153,1182,1216,1245,1277,1303,1324,1352,1391,1427,1456,1492,1520,1551,1579,1618,1647,1678,1700,1724,1749,1773,1794,1823,1856,1896,1929,1973,2012,2042,2077,2106,2143,2187,2232,2261,2312,2359,2390,2424,2465,2507,2552,2592,2642,2684,2724,2761,2810,2855,2894,2942,2975,3006,3030,3056,3085,3118,3150,3174,3212,3247,3276,3310,3338,3371,3405,3437,3472,3496,3528,3553,3582,3608,3640,3671,3705,3731,3761,3808,3844,3885,3924,3954,3996,4037,4082,4128,4180,4217,4262,4321,4375,4415,4462,4510,4574,4632,4680,4738,4799,4854,4902,4961,5024,5086,5155,5210,5268,5315,5371,5417,5481,5539,5595,5640,5689,5758,5832,5887,5950,6017,6077,6133,6194,6262,6331,6396,6463,6530,6605,6682,6733,6807,6875,6957,7058,7139,7217,7303,7383,7479,7540,7624,7721,7788,7873,7944,8042,8141,8214,8292,8370,8433,8507,8574,8641,8709,8795,8861,8948,9025,9096,9166,9229,9310,9381,9463,9536,9629,9718,9822,9910,9980,10059,10155,10248,10357,10437,10527,10643,10769,10884,11006,11129,11236,11371,11511,11648,11788,11929,12085,12230,12387,12519,12676,12842,12983,13170,13336,13481,13647,13832,13989,14168,14335,14523,14701,14879,15033,15197,15371,15556,15780,15954,16148,16335,16540,16741,16948,17164,17378,17584,17801,18024,18234,18430,18649,18928,19186,19443,19672,19914,20189,20462,20688,20938,21204,21467,21726,22018,22279,22550,22817,23075,23368,23658,23933,24253,24538,24833,25129,25432,25741,26087,26386,26700,27030,27362,27719,28052,28412,28718,29080,29416,29795,30165,30526,30927,31356,31722,32124,32542,32946,33367,33789,34205,34589,34992,35395,35828,36267,36678,37107,37549,38019,38465,38892,39361,39810,40249,40676,41124,41591,42050,42533,43007,43484,44009,44464,44951,45421,45935,46405,46947,47441,47946,48498,49031,49549,50098,50631,51202,51737,52291,52873,53483,54062,54674,55327,55963,56587,57243,57900,58561,59205,59890,60514,61245,61997,62722,63441,64255,64999,65799,66599,67327,68129,68901,69718,70495,71272,72055,72857,73680,74530,75380,76223,77029,77861,78710,79603,80520,81471,82338,83288,84196,85113,86078,87116,88100,89085,90095,91176,92289,93447,94549,95611,96749,97922,99081,100251,101439,102571,103844,105152,106435,107785,109125,110452,111822,113237,114597,115995,117438,118927,120459,121997,123605,125197,126818,128364,130050,131719,133380,135069,136781,138510,140205,141942,143752,145605,147432,149231,151081,153126,155134,157148,159260
1,1,1,2,4,7,7,9,11,12,14,15,17,22,25,28,30,33,36,42,46,54,57,58,60,68,73,82,89,94,98,102,108,109,112,122,130,139,144,148,158,170,175,183,190,196,204,206,210,211,222,226,233,239,250,255,264,277,286,294,302,306,308,311,313,317,322,332,342,345,350,358,365,368,373,381,401,411,420,428,445,454,472,487,505,520,541,560,583,599,622,638,656,673,692,705,723,743,755,771,780,800,815,824,832,844,863,874,882,899,908,927,947,964,982,1006,1026,1050,1070,1091,1109,1129,1141,1161,1190,1220,1249,1276,1311,1345,1372,1412,1437,1475,1493,1537,1574,1612,1644,1693,1734,1775,1817,1855,1903,1937,1968,2007,2053,2085,2116,2145,2172,2207,2242,2277,2303,2326,2353,2373,2401,2423,2459,2486,2513,2539,2576,2606,2640,2668,2705,2741,2771,2810,2845,2891,2933,2969,2998,3038,3074,3098,3124,3156,3198,3233,3278,3314,3353,3391,3427,3478,3533,3567,3623,3666,3711,3755,3788,3834,3895,3938,4011,4070,4124,4176,4245,4310,4365,4414,4465,4533,4590,4655,4709,4788,4859,4940,5008,5066,5141,5211,5287,5355,5429,5501,5589,5671,5752,5837,5925,6013,6089,6183,6267,6348,6433,6516,6603,6707,6799,6872,6972,7086,7199,7308,7412,7527,7636,7744,7863,7950,8075,8195,8328,8446,8583,8734,8868,9007,9127,9250,9429,9587,9745,9887,10047,10190,10358,10521,10674,10836,11010,11163,11311,11486,11648,11818,11980,12170,12342,12511,12687,12854,13031,13208,13370,13540,13719,13896,14063,14216,14399,14607,14781,14971,15149,15335,15519,15723,15916,16113,16313,16548,16744,16954,17151,17363,17595,17813,18043,18283,18525,18756,18975,19201,19431,19660,19908,20168,20415,20661,20893,21155,21393,21648,21899,22137,22398,22657,22917,23196,23472,23728,24050,24349,24635,24916,25220,25538,25866,26188,26544,26891,27265,27579,27914,28293,28648,28996,29374,29798,30190,30578,31004,31416,31824,32217,32645,33022,33449,33882,34295,34759,35218,35659,36047,36482,36905,37359,37809,38296,38778,39262,39735,40181,40674,41152,41655,42151,42674,43205,43735,44244,44753,45290,45839,46408,46961,47556,48162,48757,49418,50051,50693,51336,52013,52685,53394,54088,54805,55530,56294,57061,57807,58533,59296,60050,60834,61571,62358,63189,64017,64851,65684,66525,67448,68301,69182,70109,71039,72047,72984,73988,74990,76004,76973,77990,79008,80094,81210,82291,83361,84428,85554,86678,87808,88920,90107,91259,92393,93579,94759,95895,97099,98281,99556,100792,102068,103409,104725,106050,107411,108781,110152,111535,112924,114348,115743,117232,118733,120256,121741,123232,124832,126398,127989,129677,131280,132999,134808,136516,138248,139999,141869,143751,145637,147544,149484,151465,153488,155593,157652,159812,161928,164065,166349,168668,170887,173166,175515,177928,180315,182818,185291,187855,190477
1,1,1,1,1,2,3,7,8,12,16,21,24,26,30,35,44,53,61,72,84,93,98,106,119,128,139,157,167,178,196,216,233,248,266,283,289,304,316,336,352,367,388,413,432,448,461,483,508,531,551,579,601,620,648,674,702,722,755,785,823,873,911,948,990,1020,1066,1112,1160,1196,1236,1290,1343,1388,1436,1487,1544,1596,1651,1695,1741,1796,1847,1892,1939,1985,2032,2083,2125,2173,2223,2274,2321,2368,2420,2487,2549,2596,2657,2726,2780,2839,2891,2970,3028,3093,3157,3236,3321,3392,3474,3541,3612,3696,3776,3843,3923,4015,4087,4150,4225,4300,4359,4442,4551,4640,4732,4817,4926,5015,5114,5203,5304,5406,5522,5636,5750,5850,5949,6055,6177,6306,6425,6519,6635,6754,6892,7019,7138,7277,7409,7531,7659,7778,7882,8021,8124,8237,8345,8464,8585,8720,8836,8949,9079,9204,9326,9461,9578,9721,9839,9989,10148,10300,10466,10632,10824,10959,11134,11293,11461,11624,11825,12002,12213,12412,12591,12798,13018,13223,13458,13654,13868,14082,14302,14511,14740,14942,15174,15408,15636,15867,16140,16392,16640,16889,17159,17455,17761,18058,18356,18669,18985,19281,19569,19848,20142,20476,20817,21200,21529,21862,22199,22554,22888,23268,23608,23983,24343,24694,25049,25412,25773,26174,26590,27018,27400,27812,28209,28619,29101,29513,29950,30454,30919,31366,31827,32316,32780,33303,33787,34329,34891,35442,36020,36556,37093,37658,38232,38806,39349,39988,40558,41118,41736,42346,42990,43630,44270,44902,45541,46155,46825,47509,48191,48916,49656,50383,51090,51829,52564,53354,54175,54989,55819,56713,57559,58432,59343,60251,61172,62092,63037,64017,65069,66032,67023,68079,69160,70218,71277,72375,73526,74711,75786,76999,78194,79443,80702,82047,83364,84659,85946,87411,88785,90239,91692,93174,94583,96078,97602,99091,100684,102149,103726,105309,106885,108486,110108,111758,113552,115270,117054,118740,120474,122329,124174,125939,127765,129753,131676,133634,135587,137592,139571,141614,143742,145869,148072,150172,152382,154689,157077,159410,161760,164140,166556,168969,171371,173798,176299,178862,181304,183854,186528,189240,191910,194568,197199,199939,202673,205512,208347,211132,213959,216851,219760,222728,225679,228788,231827,234867,238036,241190,244452,247804,251142,254475,257819,261198,264618,268216,271840,275438,279045,282710,286427,290125,293984,297814,301708,305725,309768,313861,317817,321975,326174,330414,334627,338920,343217,347610,352158,356737,361388,366194,371021,376014,381101,386108,391243,396375,401558,406961,412523,417985,423570,429301,435159,440822,446878,452762,458938,465023,471372,477751,484110,490737,497378,504124,510757,517444,524147,531008,538021,545083,552367,559780,567140,574495,581968,589638,597470,605234,613474,621653,629794,638133,646526,655023,663593,672300,681329,690396,699713,708997,718474,727985,737712,747367,757171,767087,777081,787275,797585,808032,818841,829731,840531,851510,862742,874243,885522,896978,908678,920262,932133,944152,956510,968978,981320,994202,1007262,1020362,1033518,1046878,1060259
1,1,1,1,1,2,2,4,6,7,11,13,18,19,23,33,41,50,57,67,76,88,93,102,111,118,123,132,138,143,156,170,175,187,202,212,225,231,243,261,277,288,305,328,345,360,379,399,435,459,482,507,518,540,563,602,625,653,681,715,748,777,802,832,860,899,933,967,1001,1039,1072,1104,1155,1192,1222,1260,1304,1338,1369,1392,1423,1467,1506,1543,1573,1607,1637,1680,1733,1779,1813,1860,1902,1940,1988,2035,2093,2134,2197,2249,2313,2363,2414,2462,2540,2613,2675,2745,2826,2905,2967,3041,3114,3206,3301,3379,3456,3547,3650,3733,3820,3923,4001,4084,4159,4241,4324,4416,4507,4606,4705,4791,4866,4952,5030,5113,5207,5309,5400,5486,5581,5678,5779,5876,5982,6089,6203,6315,6431,6535,6641,6750,6869,6978,7112,7218,7345,7456,7580,7695,7836,7970,8122,8263,8402,8546,8705,8846,9013,9182,9346,9497,9674,9814,9952,10122,10277,10463,10652,10826,10994,11173,11361,11551,11732,11932,12132,12305,12523,12731,12932,13151,13351,13579,13787,14000,14224,14418,14626,14849,15058,15286,15497,15699,15884,16102,16326,16544,16760,16978,17187,17410,17653,17890,18114,18343,18563,18805,19055,19287,19529,19775,20015,20285,20534,20831,21101,21375,21661,21947,22219,22531,22814,23116,23421,23751,24083,24398,24699,25026,25386,25748,26137,26550,26919,27310,27691,28070,28474,28873,29361,29749,30194,30559,30978,31419,31928,32407,32890,33365,33882,34428,34976,35503,36089,36647,37232,37804,38411,39025,39650,40312,40971,41563,42228,42918,43628,44297,44985,45700,46428,47165,47908,48683,49496,50299,51072,51879,52689,53490,54312,55177,56001,56948,57833,58760,59679,60664,61643,62572,63568,64563,65565,66551,67580,68629,69666,70734,71775,72906,74083,75239,76456,77672,78910,80201,81487,82842,84133,85413,86708,88073,89375,90756,92151,93505,94927,96369,97886,99305,100776,102227,103771,105315,106939,108549,110153,111738,113335,114967,116684,118401,120133,121952,123780,125657,127450,129299,131255,133272,135332,137377,139583,141724,143901,146096,148365,150672,153069,155410,157707,160058,162478,165011,167464,169902,172432,175010,177620,180304,182995,185692,188405,191226,193911,196784,199603,202392,205302,208299,211393,214451,217510,220613,223752,226911,230115,233519,236835,240205,243472,246985,250410,254000,257525,261212,264898,268682,272532,276499,280497,284379,288456,292595,296745,300888,305234,309480,313895,318343,322829,327302,331813,336586,341213,345899,350848,355824,360782,365916,370996,376266,381676,387067,392639,398256,404044,409781,415679,421554,427444,433526,439776,446016,452429,458813,465340,471924,478541,485249,492159,499056,506040,513136,520312,527620,535060,542599,550096,557766,565616,573509,581351,589324,597348,605512,613779,622205,630551,639226,648031,656920,665800,674885,684004,693358,702784,712295,721593,731338,741006,750971,760666,770546,780804,790768,801013,811382,821789,832336,842800,853634,864537,875592,886616,897777,909064,920355,931713,943312,955057,967101,979256,991595,1004176,1016817,1029530
1,1,1,1,1,1,1,3,6,6,9,9,11,12,12,17,17,22,26,31,40,46,52,61,70,86,97,110,122,136,146,164,183,199,215,234,249,269,284,306,320,344,370,389,409,430,452,477,504,536,563,587,607,638,656,689,719,753,781,808,838,870,903,939,978,1022,1053,1090,1127,1166,1203,1237,1288,1333,1386,1450,1508,1554,1600,1663,1706,1768,1816,1875,1927,1983,2022,2080,2130,2197,2260,2305,2377,2456,2534,2599,2660,2711,2790,2860,2928,3000,3089,3162,3249,3344,3430,3540,3633,3728,3843,3939,4051,4182,4291,4413,4536,4637,4762,4908,5026,5174,5324,5448,5594,5723,5853,5986,6123,6270,6437,6590,6748,6909,7054,7228,7385,7540,7706,7874,8038,8197,8339,8496,8641,8799,8957,9113,9281,9456,9598,9759,9938,10090,10259,10408,10583,10740,10907,11076,11265,11433,11600,11761,11941,12149,12308,12527,12692,12886,13086,13278,13484,13708,13907,14124,14337,14559,14770,14997,15206,15441,15669,15903,16129,16361,16589,16813,17036,17278,17514,17741,17940,18187,18441,18699,18933,19217,19466,19767,20038,20316,20584,20869,21176,21431,21693,21961,22246,22527,22794,23074,23391,23683,23969,24280,24594,24913,25265,25597,25921,26253,26583,26900,27236,27572,27915,28240,28634,29009,29371,29750,30129,30510,30912,31310,31710,32096,32511,32923,33387,33834,34286,34774,35287,35761,36238,36784,37264,37776,38261,38767,39346,39916,40482,41032,41562,42115,42708,43258,43813,44423,44982,45554,46136,46747,47342,47949,48580,49189,49783,50400,51000,51585,52172,52803,53446,54062,54680,55342,56004,56619,57292,57949,58616,59300,59935,60665,61350,62106,62783,63464,64183,64916,65718,66496,67265,68033,68860,69671,70502,71285,72080,72885,73738,74589,75541,76428,77412,78359,79291,80254,81191,82188,83157,84228,85286,86342,87396,88418,89575,90717,91888,93056,94249,95468,96736,98010,99202,100422,101654,102931,104239,105603,107023,108465,109851,111336,112807,114348,115938,117430,119002,120607,122304,123892,125587,127262,129040,130824,132604,134499,136353,138265,140261,142242,144186,146156,148225,150288,152421,154705,156921,159239,161524,163821,166124,168519,170896,173334,175739,178197,180572,183144,185670,188119,190674,193336,195820,198443,201236,203949,206581,209415,212173,214980,217839,220741,223539,226537,229481,232573,235715,238806,241954,245245,248537,251730,255036,258375,261905,265445,268963,272622,276255,279878,283643,287382,291132,295026,298933,302921,306813,310879,315031,319303,323584,327851,332026,336265,340644,345093,349648,354158,358737,363428,368176,372973,377812,382676,387601,392752,397913,403053,408354,413575,418830,424358,429900,435679,441357,447118,453037,458975,464964,471041,477378,483722,490089,496535,503044,509612,516350,523010,529938,536897,543959,551098,558269,565600,573004,580637,588233,595916,603811,611677,619785,627827,636199,644622,652952,661418,669980,678818,687849,696823,705886,715096,724485,733812,743476,753202,763187,773008,782995,793131,803104,813568,824228,834812,845511,856380,867478,878745,890141,901737,913390
1,1,2,3,5,9,10,11,12,12,14,14,16,19,24,28,31,33,36,41,46,55,64,70,75,87,101,115,121,135,145,163,178,192,209,222,238,257,278,302,322,347,375,393,423,447,470,499,530,566,592,614,646,680,715,742,782,822,862,901,941,977,1024,1069,1116,1151,1203,1238,1287,1329,1388,1421,1475,1522,1555,1611,1655,1703,1743,1803,1861,1917,1966,2028,2082,2135,2205,2271,2329,2381,2451,2514,2580,2655,2728,2788,2858,2919,2976,3057,3122,3208,3281,3363,3452,3520,3606,3685,3765,3865,3928,4022,4111,4187,4287,4387,4480,4588,4688,4789,4882,4978,5077,5192,5300,5430,5543,5663,5766,5878,5996,6115,6232,6353,6488,6612,6731,6878,7023,7178,7318,7437,7596,7735,7861,8025,8190,8334,8491,8670,8841,9024,9209,9374,9542,9740,9930,10120,10297,10480,10680,10859,11072,11257,11481,11689,11895,12091,12305,12530,12768,12988,13198,13421,13635,13825,14052,14271,14505,14723,14964,15203,15431,15652,15869,16127,16379,16622,16849,17077,17344,17621,17871,18139,18397,18620,18876,19168,19434,19696,19991,20257,20504,20803,21105,21401,21713,21992,22267,22542,22832,23107,23398,23695,24004,24320,24630,24926,25286,25587,25928,26259,26600,26997,27362,27730,28106,28458,28795,29202,29594,29982,30398,30809,31193,31606,32031,32484,32886,33287,33737,34216,34672,35131,35590,36114,36597,37092,37592,38090,38642,39211,39730,40258,40787,41348,41984,42606,43209,43824,44471,45101,45716,46350,46999,47692,48350,48979,49678,50359,51089,51802,52511,53227,53981,54740,55482,56186,56923,57643,58425,59187,59992,60760,61491,62215,63003,63800,64646,65476,66334,67133,68013,68869,69757,70615,71512,72436,73351,74325,75325,76240,77279,78239,79229,80233,81272,82251,83314,84394,85450,86510,87627,88686,89835,90918,92037,93169,94284,95414,96593,97679,98831,100053,101242,102488,103700,105010,106259,107488,108743,110101,111488,112863,114264,115639,117058,118510,119929,121360,122838,124317,125879,127412,129003,130601,132163,133759,135312,136966,138670,140312,141986,143721,145378,147137,148942,150782,152598,154489,156490,158460,160560,162474,164489,166534,168581,170713,172926,175212,177463,179723,182194,184615,187084,189642,192241,194905,197575,200250,202999,205765,208535,211359,214196,217154,220090,223136,226142,229255,232411,235592,238797,241997,245308,248646,251812,255154,258563,261992,265440,268855,272339,275927,279507,283092,286701,290438,294214,298087,302060,305919,309876,313894,317916,322093,326188,330524,334817,339348,343888,348469,353218,357899,362620,367315,372217,377150,382261,387327,392502,397709,403070,408537,414085,419663,425373,430925,436673,442526,448284,454258,460097,466115,472116,478138,484364,490607,496735,503022,509342,515873,522286,528709,535288,542004,548783,555557,562303,569244,576110,583265,590668,597945,605397,612988,620558,628269,636122,643879,651792,659886,668086,676553,684998,693416,702231,711133,719995,729177,738339,747574,756971,766374,776045,785683,795492,805388,815295,825519,835628,846077,856672,867314,878112,888845,899716
1,1,1,1,2,7,9,10,12,15,16,18,25,29,34,41,48,57,60,64,69,80,86,99,110,122,130,141,151,158,168,179,186,198,206,220,230,235,246,253,266,280,297,310,319,326,332,343,353,365,376,389,398,419,437,462,483,499,518,535,555,572,593,609,629,656,677,701,722,750,783,811,840,855,885,914,943,974,1000,1036,1075,1099,1122,1149,1183,1213,1250,1281,1315,1347,1382,1418,1454,1482,1503,1536,1567,1603,1631,1672,1719,1753,1780,1822,1861,1892,1945,1986,2030,2067,2121,2170,2219,2258,2327,2379,2431,2493,2562,2630,2712,2786,2848,2917,3001,3106,3217,3335,3437,3554,3663,3771,3897,4029,4156,4287,4422,4549,4680,4821,4942,5058,5192,5336,5491,5602,5756,5900,6077,6246,6401,6555,6709,6889,7061,7247,7426,7616,7812,8011,8229,8450,8674,8902,9140,9366,9622,9861,10115,10335,10584,10851,11123,11408,11653,11895,12189,12490,12775,13060,13351,13663,13919,14206,14534,14875,15199,15513,15840,16140,16491,16795,17121,17466,17807,18170,18553,18951,19286,19619,19947,20325,20713,21072,21440,21805,22190,22581,22958,23339,23733,24140,24558,24954,25390,25845,26280,26661,27054,27465,27889,28349,28820,29299,29770,30228,30673,31170,31689,32205,32732,33261,33774,34318,34856,35384,35900,36425,36975,37535,38095,38706,39250,39822,40435,41049,41676,42320,42976,43570,44182,44824,45505,46120,46771,47441,48077,48813,49530,50222,50940,51625,52371,53132,53851,54605,55339,56099,56868,57698,58485,59329,60090,60880,61692,62550,63432,64309,65217,66104,66970,67849,68750,69673,70670,71667,72674,73670,74697,75726,76754,77777,78846,79933,81063,82183,83302,84417,85624,86823,88066,89273,90509,91760,93019,94246,95534,96822,98193,99668,100955,102303,103723,105198,106657,108126,109639,111120,112584,114162,115792,117453,119084,120731,122417,124113,125814,127601,129250,131104,132919,134701,136531,138335,140300,142282,144200,146196,148284,150352,152451,154582,156745,158880,161120,163337,165621,167944,170331,172660,175060,177569,180080,182644,185242,187778,190469,193088,195847,198531,201287,203964,206785,209691,212594,215532,218635,221665,224834,227956,231162,234409,237673,240969,244312,247819,251198,254686,258263,261895,265683,269439,273247,277039,280919,284824,288766,292891,297047,301174,305459,309764,314127,318469,322916,327517,332266,336905,341567,346417,351308,356216,361192,366322,371334,376392,381575,386912,392202,397574,403131,408579,414321,420131,425922,431700,437456,443412,449339,455443,461601,467786,474121,480566,486995,493430,499939,506598,513377,520044,526944,534034,540931,547906,555145,562357,569480,576809,584421,591975,599666,607478,615357,623440,631565,639927,648103,656595,665278,673915,682627,691518,700677,709824,719177,728568,738062,747687,757392,767204,776908,786951,797194,807520,817980,828664,839329,850188,861190,872257,883304,894757,906132,917586,929255,940945,952786,964958,977265,989681,1002473,1015223,1028290,1041188,1054328,1067697,1081025,1094523,1108447,1122333,1136386,1150576,1165114,1179797,1194452,1209255,1224374
1,1,1,1,3,5,6,9,10,15,16,16,17,17,18,20,21,25,32,35,43,51,56,65,77,88,95,109,119,135,144,154,162,172,189,200,220,235,258,278,291,307,325,336,355,374,391,403,423,437,453,468,483,497,516,532,556,571,601,626,655,678,695,723,747,776,803,836,858,890,925,952,984,1013,1040,1087,1133,1167,1215,1244,1290,1321,1374,1401,1431,1464,1500,1537,1576,1609,1651,1682,1724,1767,1814,1849,1891,1940,1985,2017,2051,2102,2142,2186,2238,2288,2330,2376,2421,2457,2495,2521,2566,2612,2662,2704,2751,2808,2847,2909,2949,2987,3046,3094,3135,3172,3217,3275,3330,3390,3461,3534,3590,3670,3744,3823,3907,3990,4080,4163,4244,4341,4448,4548,4632,4730,4821,4929,5048,5144,5269,5374,5472,5577,5673,5803,5904,6014,6136,6252,6389,6508,6629,6744,6859,7012,7161,7302,7456,7620,7800,7982,8145,8332,8507,8693,8895,9112,9291,9468,9664,9877,10073,10269,10497,10694,10895,11118,11349,11586,11815,12041,12255,12460,12693,12918,13154,13411,13647,13917,14151,14403,14643,14900,15176,15458,15728,16019,16324,16629,16950,17308,17631,17934,18299,18631,18969,19311,19668,20060,20442,20868,21276,21677,22089,22475,22898,23306,23779,24223,24675,25114,25596,26075,26565,27056,27539,28063,28620,29136,29684,30253,30835,31467,32041,32688,33286,33964,34640,35339,36026,36732,37423,38161,38958,39708,40460,41250,42072,42911,43732,44597,45439,46342,47203,48164,49071,49963,50925,51884,52857,53832,54812,55822,56817,57836,58901,59921,61028,62108,63207,64330,65470,66635,67788,68996,70223,71389,72602,73820,74977,76291,77641,78993,80375,81766,83158,84587,86042,87521,89051,90592,92089,93616,95136,96648,98180,99670,101199,102825,104498,106216,107897,109575,111226,113018,114718,116487,118297,120176,122045,123891,125829,127750,129762,131846,133890,135987,138079,140120,142229,144297,146464,148603,150822,153055,155345,157589,159856,162066,164517,166967,169346,171851,174404,176884,179356,181893,184481,187241,189895,192699,195584,198494,201346,204324,207264,210364,213503,216600,219732,223067,226388,229753,233055,236344,239784,243177,246501,249993,253649,257340,260990,264609,268419,272182,275975,279806,283804,287742,291667,295709,299794,303963,308206,312386,316724,321025,325359,329667,334020,338520,343115,347886,352571,357333,362100,366976,371988,376958,382043,387356,392685,397967,403267,408684,414132,419490,424908,430465,436019,441754,447514,453261,459124,465143,471255,477390,483570,489718,495893,502395,508830,515269,521951,528788,535661,542616,549521,556644,563770,571194,578358,585836,593255,600807,608447,616078,623755,631616,639651,647685,655728,663918,672206,680759,689259,697830,706615,715564,724424,733708,743000,752050,761346,770832,780361,790206,800214,810164,820271,830452,840807,851465,862242,872930,883918,894999,906062,917561,929078,940793,952596,964546,976571,988859,1001408,1014005,1026912,1039900,1053167,1066572,1080029,1093625,1107388,1121445,1135668,1149937,1164441,1179007,1194040,1209004,1224119,1239363,1254760,1270604,1286750
1,1,1,1,1,1,1,2,2,3,5,6,7,7,8,10,12,12,12,12,12,12,13,13,13,16,17,19,19,19,21,22,22,23,25,30,37,44,50,57,60,67,77,80,87,93,102,112,125,131,138,146,154,162,168,181,192,199,213,220,231,231,245,250,258,268,273,277,282,289,296,299,303,312,315,317,320,326,330,334,342,350,363,374,380,396,404,411,424,431,445,456,465,477,486,501,519,533,547,567,575,588,600,614,630,648,668,688,706,722,747,763,783,808,842,876,904,930,957,997,1018,1063,1107,1133,1172,1207,1243,1282,1313,1336,1373,1402,1434,1457,1491,1513,1544,1577,1602,1629,1665,1697,1727,1756,1788,1814,1840,1878,1927,1949,1983,2018,2049,2085,2133,2174,2215,2257,2314,2370,2409,2453,2501,2553,2605,2652,2696,2745,2798,2842,2905,2975,3042,3090,3148,3207,3278,3329,3379,3447,3519,3572,3622,3691,3755,3821,3889,3951,4013,4075,4147,4218,4304,4390,4481,4576,4672,4769,4895,4991,5078,5166,5253,5357,5475,5569,5672,5774,5862,5971,6051,6131,6233,6323,6413,6508,6599,6697,6789,6886,6995,7115,7243,7364,7506,7645,7777,7914,8063,8200,8352,8516,8666,8819,9000,9163,9326,9517,9694,9880,10094,10279,10489,10675,10892,11101,11291,11482,11677,11902,12111,12334,12581,12813,13041,13265,13490,13751,14008,14263,14485,14735,15009,15282,15524,15792,16058,16325,16583,16861,17133,17406,17679,17950,18203,18482,18741,18999,19289,19598,19866,20131,20401,20677,20964,21276,21608,21914,22191,22490,22803,23073,23333,23627,23912,24214,24516,24843,25152,25457,25766,26067,26416,26767,27110,27454,27811,28117,28438,28770,29149,29515,29870,30236,30608,30987,31368,31781,32217,32611,33096,33510,33955,34404,34827,35345,35861,36376,36830,37318,37859,38408,38907,39460,40030,40624,41225,41776,42397,43020,43606,44182,44797,45455,46117,46745,47463,48119,48781,49496,50170,50872,51581,52301,52986,53667,54389,55127,55841,56543,57252,57995,58710,59392,60108,60802,61614,62324,63066,63822,64539,65311,66114,66891,67698,68533,69342,70146,70950,71797,72608,73533,74419,75336,76250,77109,78015,78975,79918,80827,81821,82762,83745,84684,85697,86657,87656,88666,89758,90808,91836,92914,93935,94990,96071,97178,98297,99400,100532,101705,102888,104067,105209,106430,107674,108841,110051,111248,112522,113802,115063,116397,117745,119126,120479,121914,123283,124708,126166,127640,129121,130599,132157,133748,135185,136644,138224,139820,141400,143081,144736,146346,148038,149770,151474,153196,154951,156709,158494,160285,162148,163988,165813,167689,169653,171619,173645,175639,177744,179862,182030,184129,186424,188642,190818,193164,195517,197881,200284,202742,205227,207778,210472,213197,215898,218574,221388,224269,227221,230138,233089,236079,239153,242266,245431,248683,252015,255380,258811,262279,265815,269380,272971,276619,280288,283974,287746
1,1,3,4,5,6,6,8,8,9,9,9,9,11,12,13,13,17,18,21,23,28,31,31,33,36,38,41,45,50,54,60,67,73,81,93,101,108,121,127,136,145,156,163,169,178,185,191,195,203,207,215,225,234,236,242,254,262,269,275,282,288,295,301,309,319,323,330,338,345,355,366,390,408,424,443,468,489,507,522,538,571,590,612,626,644,664,692,714,746,769,790,824,850,878,917,951,983,1021,1060,1105,1145,1187,1225,1262,1307,1356,1401,1454,1499,1567,1633,1700,1770,1841,1916,1998,2081,2160,2234,2325,2401,2494,2591,2676,2760,2866,2952,3030,3130,3221,3312,3413,3506,3605,3690,3797,3899,3991,4074,4187,4277,4386,4496,4568,4674,4782,4894,4984,5097,5185,5294,5421,5518,5622,5734,5845,5930,6047,6164,6272,6383,6499,6616,6745,6863,6993,7127,7251,7386,7526,7673,7843,8016,8206,8377,8550,8761,8977,9184,9413,9650,9873,10088,10309,10527,10763,11038,11324,11584,11859,12146,12424,12737,13022,13298,13578,13881,14193,14448,14703,14965,15274,15605,15943,16229,16548,16886,17212,17547,17856,18200,18514,18882,19217,19571,19888,20262,20610,21000,21377,21758,22146,22524,22919,23353,23788,24219,24629,25064,25478,25934,26368,26744,27168,27585,28072,28491,28923,29378,29822,30297,30769,31229,31662,32090,32594,33023,33474,34010,34481,34962,35454,35944,36482,36985,37490,38001,38539,39020,39528,40045,40578,41083,41628,42136,42700,43273,43888,44445,45032,45627,46192,46803,47420,48053,48680,49329,49965,50607,51251,51950,52653,53289,54010,54796,55503,56258,57048,57778,58566,59350,60169,61033,61894,62742,63552,64422,65297,66227,67124,68057,68979,69949,70940,71931,72882,73832,74876,75956,76942,77952,78993,80019,81104,82230,83254,84328,85433,86564,87651,88768,89954,91144,92358,93565,94776,95998,97257,98572,99925,101206,102522,103942,105388,106733,108144,109546,110984,112479,114027,115556,117070,118645,120318,121930,123640,125319,127069,128777,130582,132414,134364,136301,138341,140341,142365,144409,146487,148536,150732,152950,155172,157533,159813,162216,164570,166929,169289,171747,174191,176725,179286,181822,184351,187076,189766,192568,195338,198158,200915,203767,206659,209705,212773,215907,219076,222251,225486,228845,232226,235675,239140,242575,246254,249987,253603,257321,261103,264842,268702,272620,276556,280665,284791,288892,293046,297325,301587,305881,310337,314899,319597,324293,329022,333797,338681,343545,348359,353234,358318,363415,368541,373820,379223,384544,390103,395503,401044,406735,412580,418550,424440,430382,436641,442886,449189,455465,461813,468154,474642,481262,488055,494962,501801,508855,515864,523051,530213,537476,544915,552378,559925,567870,575805,583755,591842,600014,608133,616376,624742,633062,641586,650378,659187,668300,677123,686305,695560,704997,714369,724292,733984,743936,753870,763980,774307,784599,795260,805904,816634,827559,838577,849804,860972,872285,883713,895193,906892,918842,930830,943163,955495,968147,980757,993499,1006395
1,1,1,1,1,2,4,4,4,7,8,10,11,13,18,20,20,22,25,29,35,40,45,48,55,61,66,74,76,80,90,101,110,126,142,158,171,187,200,214,221,238,249,260,275,287,298,309,319,334,348,370,387,400,423,439,455,465,478,493,508,526,548,562,572,587,603,622,639,657,688,704,721,739,762,780,795,814,847,871,900,921,943,969,1005,1027,1053,1083,1108,1137,1158,1185,1223,1260,1275,1313,1341,1361,1392,1421,1454,1490,1527,1554,1580,1616,1653,1697,1740,1779,1820,1878,1914,1957,1998,2049,2101,2150,2202,2245,2288,2344,2388,2460,2507,2570,2620,2665,2728,2805,2864,2918,2987,3052,3105,3200,3298,3371,3451,3544,3641,3741,3847,3942,4058,4165,4255,4346,4435,4546,4662,4779,4898,5005,5128,5251,5378,5511,5632,5773,5888,6017,6148,6279,6417,6538,6675,6807,6937,7088,7225,7381,7501,7649,7793,7952,8108,8265,8428,8607,8768,8934,9089,9260,9432,9599,9772,9945,10116,10296,10471,10640,10818,11004,11196,11363,11540,11717,11882,12052,12233,12408,12606,12791,12950,13150,13312,13502,13671,13852,14019,14176,14368,14566,14754,14976,15189,15391,15619,15850,16064,16277,16497,16749,16974,17208,17430,17685,17915,18158,18364,18609,18857,19115,19373,19631,19870,20116,20383,20652,20918,21195,21438,21696,21969,22246,22520,22813,23095,23379,23702,23999,24314,24629,24971,25317,25661,26026,26391,26750,27172,27565,27952,28345,28727,29165,29566,30021,30472,30910,31366,31838,32352,32844,33321,33863,34405,34919,35422,35950,36493,37064,37667,38241,38820,39470,40092,40706,41315,41915,42509,43134,43754,44395,45012,45643,46295,46935,47646,48311,48993,49673,50325,51029,51714,52464,53215,53959,54696,55464,56191,57059,57842,58655,59448,60230,61078,61916,62822,63688,64541,65443,66318,67265,68195,69156,70132,71132,72158,73190,74260,75275,76344,77481,78608,79738,80885,82088,83301,84575,85809,87008,88245,89540,90865,92208,93563,94960,96359,97772,99202,100663,102114,103629,105280,106852,108428,110035,111697,113330,114981,116719,118436,120180,122018,123844,125597,127384,129166,131043,132917,134823,136843,138765,140682,142631,144610,146719,148717,150848,152986,155187,157349,159563,161729,163979,166293,168507,170955,173372,175896,178348,180895,183465,186121,188753,191369,193972,196724,199480,202321,205247,208107,211041,214201,217272,220326,223473,226640,229872,233049,236379,239690,243072,246493,249936,253440,256940,260522,264154,267975,271739,275617,279566,283589,287599,291687,295742,299941,304261,308614,312958,317325,321664,326073,330635,335276,339989,344711,349479,354433,359342,364263,369277,374370,379606,384739,389892,395050,400402,405798,411351,416788,422323,427801,433373,439060,444934,450827,456754,462542,468465,474647,480841,487067,493415,499802,506270,512970,519787,526544,533406,540389,547351,554496,561640,568943,576433,583768,591265,599039,606807,614587,622510,630289,638313,646379,654843,663186,671776,680254,688928,697728,706670,715635,724733,733878
1,1,1,1,1,1,1,1,2,3,4,4,5,7,7,11,11,12,17,20,25,29,33,41,50,57,64,73,80,87,97,106,116,124,131,140,153,162,176,187,200,213,220,233,252,272,285,299,308,321,346,372,405,431,455,479,508,527,548,574,614,649,685,724,761,780,806,849,876,915,946,985,1021,1055,1081,1132,1176,1225,1275,1340,1389,1442,1500,1556,1608,1659,1717,1781,1832,1904,1969,2038,2086,2136,2199,2265,2320,2375,2443,2495,2548,2614,2674,2739,2812,2876,2934,3010,3082,3161,3233,3297,3372,3446,3508,3585,3676,3776,3859,3946,4041,4123,4222,4314,4419,4523,4631,4723,4822,4955,5053,5149,5256,5362,5455,5573,5686,5782,5896,6029,6171,6292,6402,6511,6646,6756,6864,6991,7110,7230,7339,7440,7554,7698,7832,7970,8098,8220,8366,8511,8654,8798,8962,9136,9310,9441,9609,9772,9929,10090,10268,10469,10635,10830,10987,11180,11353,11553,11719,11896,12093,12264,12455,12632,12832,13016,13213,13421,13650,13850,14029,14216,14394,14598,14754,14930,15117,15321,15517,15703,15896,16096,16338,16549,16777,17007,17208,17422,17646,17884,18115,18365,18586,18835,19070,19315,19584,19827,20087,20321,20585,20850,21152,21407,21679,21953,22262,22568,22847,23117,23427,23722,23990,24287,24608,24938,25268,25595,25928,26272,26609,26961,27311,27635,28018,28365,28693,29021,29409,29746,30109,30440,30820,31163,31521,31887,32231,32567,32946,33340,33717,34093,34479,34856,35243,35605,36020,36407,36858,37267,37680,38115,38545,38978,39411,39872,40281,40716,41195,41679,42135,42613,43126,43624,44093,44589,45105,45623,46159,46688,47216,47706,48213,48750,49264,49786,50358,50949,51512,52111,52699,53292,53887,54543,55148,55761,56387,56988,57668,58309,58962,59627,60318,61041,61733,62468,63193,63929,64677,65411,66202,66967,67763,68550,69373,70187,71045,71893,72731,73569,74484,75356,76254,77216,78192,79174,80183,81174,82217,83252,84293,85340,86392,87479,88596,89678,90769,91953,93087,94364,95558,96819,98102,99405,100676,101933,103257,104632,105950,107346,108700,110165,111599,113131,114579,116053,117570,119039,120549,122065,123677,125302,126890,128455,130023,131629,133267,135019,136768,138483,140172,141952,143770,145646,147553,149343,151213,153099,154978,156902,158936,160932,162977,165120,167247,169428,171557,173788,176070,178285,180593,182937,185257,187645,190178,192678,195189,197801,200454,203113,205845,208591,211362,214066,216866,219709,222615,225566,228596,231638,234813,237917,241102,244235,247426,250647,253961,257279,260642,264047,267631,271256,274909,278577,282434,286324,290198,294094,298049,302054,306194,310371,314458,318669,323054,327448,331825,336202,340727,345377,349962,354749,359585,364285,369145,373945,378975,384006,389068,394168,399397,404776,410321,415811,421396,426985,432689,438554,444443,450388,456550,462687,468837,475060,481440,487937,494359,500989,507849,514689,521701,528872,536004,543118,550433,557970,565595,573403,581183,589125,597137,605244,613468,621825,630208,638655,647355
1,1,1,1,1,1,1,1,1,4,4,4,7,9,12,14,15,19,24,27,36,40,44,48,54,65,73,77,84,95,106,115,130,143,155,165,176,185,193,206,215,228,236,245,260,272,286,295,316,322,337,344,349,359,375,393,402,411,427,441,453,472,493,516,526,549,573,588,607,633,654,674,703,728,762,815,851,885,917,958,1008,1040,1082,1128,1171,1218,1266,1309,1360,1416,1464,1516,1559,1620,1675,1741,1805,1870,1933,1994,2057,2126,2213,2278,2332,2395,2468,2526,2590,2648,2707,2762,2840,2893,2957,3012,3083,3150,3229,3308,3373,3426,3483,3539,3604,3658,3700,3768,3833,3885,3939,4008,4068,4128,4196,4264,4338,4405,4484,4550,4628,4692,4779,4863,4945,5049,5141,5240,5329,5421,5522,5625,5738,5839,5933,6031,6134,6246,6353,6478,6598,6694,6808,6930,7070,7189,7295,7428,7558,7695,7830,7962,8112,8274,8397,8577,8742,8918,9065,9254,9410,9590,9733,9896,10058,10213,10397,10560,10745,10925,11108,11277,11420,11597,11755,11888,12060,12242,12400,12535,12713,12852,12999,13131,13301,13476,13646,13822,13985,14137,14309,14474,14632,14797,14947,15119,15302,15454,15635,15813,15997,16192,16398,16593,16783,16952,17158,17335,17525,17728,17909,18112,18318,18519,18752,18939,19142,19338,19560,19777,19978,20184,20422,20635,20863,21087,21332,21549,21786,22009,22260,22505,22753,22979,23248,23496,23743,24011,24246,24507,24738,24986,25226,25497,25747,25991,26249,26510,26791,27053,27341,27639,27936,28237,28525,28819,29112,29456,29759,30133,30463,30816,31185,31558,31897,32240,32588,32927,33321,33702,34063,34459,34853,35241,35633,36031,36458,36825,37254,37664,38060,38490,38918,39378,39814,40268,40719,41234,41727,42221,42745,43244,43753,44283,44842,45378,45949,46523,47102,47695,48289,48881,49503,50111,50784,51426,52110,52868,53556,54249,54987,55674,56463,57205,58021,58780,59613,60396,61197,62034,62906,63780,64712,65581,66504,67417,68311,69220,70148,71123,72047,73014,74015,75025,76029,77057,78036,79092,80196,81271,82314,83444,84614,85754,86925,88148,89416,90647,91869,93160,94484,95808,97168,98473,99862,101321,102812,104301,105762,107246,108757,110249,111777,113426,115022,116728,118361,120027,121706,123408,125073,126816,128644,130342,132161,133963,135851,137799,139634,141567,143431,145456,147544,149498,151552,153682,155839,157948,160117,162275,164581,166911,169162,171500,173876,176308,178744,181261,183693,186319,188992,191594,194374,197012,199803,202657,205483,208342,211211,214183,217308,220335,223367,226535,229653,232777,236147,239570,242854,246268,249710,253083,256568,260274,263726,267393,271029,274793,278612,282598,286600,290710,294745,298856,303036,307242,311618,315867,320219,324770,329152,333814,338480,343312,348221,353116,357886,362846,367794,372884,378064,383287,388542,393923,399337,404829,410429,416052,421796,427626,433418,439348,445531,451640,457804,464191,470498,476889,483334,489896,496557,503380,510205,517162,524059,530997,538119
1,1,1,2,6,7,7,8,10,13,15,17,22,25,31,34,38,47,54,68,73,82,92,98,103,109,114,127,140,154,158,166,178,184,195,204,209,223,233,247,253,268,278,294,308,322,341,360,375,386,415,430,455,475,498,512,540,566,590,616,638,662,676,708,730,742,756,777,794,818,841,862,882,897,915,929,943,952,977,990,1014,1039,1062,1088,1115,1136,1165,1191,1209,1228,1260,1280,1309,1329,1352,1373,1392,1407,1428,1462,1481,1508,1533,1559,1584,1614,1630,1651,1673,1695,1716,1732,1755,1772,1799,1819,1838,1861,1885,1910,1927,1955,1989,2018,2059,2086,2115,2142,2175,2203,2232,2261,2292,2334,2354,2382,2420,2462,2499,2530,2565,2600,2635,2658,2699,2729,2768,2793,2827,2857,2889,2927,2965,3007,3051,3091,3130,3166,3204,3237,3281,3324,3356,3390,3434,3479,3518,3567,3612,3651,3689,3736,3780,3832,3891,3951,3990,4033,4090,4147,4196,4259,4297,4363,4416,4472,4539,4597,4644,4703,4754,4820,4884,4953,5019,5090,5147,5217,5269,5327,5392,5454,5504,5571,5639,5693,5772,5838,5917,5973,6045,6100,6166,6256,6330,6393,6473,6555,6634,6717,6789,6876,6961,7078,7165,7253,7349,7430,7519,7608,7691,7791,7888,7986,8107,8218,8313,8418,8520,8645,8765,8867,8976,9097,9197,9317,9447,9562,9683,9823,9939,10040,10174,10310,10448,10552,10680,10815,10955,11076,11200,11327,11452,11577,11714,11847,11976,12113,12255,12397,12551,12713,12840,12988,13155,13331,13501,13675,13846,14023,14186,14364,14567,14747,14941,15145,15337,15541,15739,15938,16125,16351,16564,16745,16948,17156,17369,17597,17833,18067,18307,18554,18800,19027,19252,19493,19738,19999,20247,20479,20699,20943,21197,21429,21676,21910,22148,22402,22684,22931,23199,23448,23695,23950,24201,24462,24748,24994,25273,25555,25881,26170,26463,26766,27084,27433,27778,28083,28437,28797,29174,29500,29890,30247,30646,31011,31382,31794,32189,32579,32975,33473,33917,34344,34804,35244,35662,36149,36619,37106,37640,38177,38691,39184,39686,40194,40706,41216,41791,42295,42848,43425,44007,44595,45238,45848,46510,47189,47843,48520,49195,49884,50559,51314,52072,52866,53642,54414,55321,56157,57014,57898,58818,59698,60587,61452,62343,63218,64180,65093,66055,66984,67920,68865,69879,70888,71863,72878,73871,74845,75865,76910,77944,78969,80039,81118,82192,83227,84232,85306,86349,87397,88502,89601,90672,91822,93008,94186,95335,96492,97699,98843,100046,101308,102540,103817,105085,106416,107765,109095,110499,111823,113201,114595,115981,117441,118902,120391,121921,123434,124987,126562,128210,129793,131425,133095,134785,136503,138326,140029,141786,143560,145386,147302,149199,151143,153066,155019,156997,159035,161216,163275,165360,167454,169640,171785,174008,176217,178510,180808,183162,185528,187982,190401,192907,195450,197939,200547,203254,205993,208657,211336,214071,216829,219714,222566,225494
1,1,1,1,1,4,6,8,9,11,11,15,16,28,32,37,44,50,55,62,67,69,76,85,97,104,115,124,135,142,156,169,178,193,210,219,234,249,261,279,294,311,320,341,361,377,398,416,431,455,483,513,535,558,589,622,644,666,694,720,750,775,808,832,872,896,921,953,974,1001,1036,1066,1096,1131,1170,1204,1230,1261,1303,1342,1382,1424,1451,1477,1508,1558,1604,1642,1684,1735,1771,1810,1858,1896,1933,1977,2029,2070,2131,2171,2214,2263,2313,2365,2410,2458,2497,2558,2616,2666,2731,2793,2847,2910,2982,3047,3099,3164,3236,3314,3383,3445,3526,3617,3702,3788,3894,3990,4082,4161,4262,4362,4469,4584,4683,4802,4935,5055,5179,5311,5444,5594,5732,5863,6003,6165,6335,6491,6657,6831,6990,7167,7351,7552,7742,7912,8085,8245,8468,8672,8867,9080,9272,9469,9641,9858,10075,10277,10494,10704,10928,11161,11426,11678,11939,12163,12391,12627,12884,13138,13380,13621,13864,14108,14372,14632,14892,15150,15398,15660,15931,16177,16465,16741,17025,17266,17546,17847,18146,18441,18775,19082,19392,19693,20010,20306,20655,20988,21339,21680,22027,22398,22791,23171,23552,23960,24341,24735,25140,25554,25975,26399,26809,27222,27624,28041,28440,28869,29301,29719,30179,30581,31032,31469,31933,32413,32856,33349,33869,34381,34861,35345,35892,36427,36954,37511,38030,38547,39117,39744,40328,40951,41586,42231,42871,43520,44162,44821,45471,46191,46912,47615,48361,49087,49831,50552,51327,52083,52890,53724,54505,55335,56160,57001,57824,58678,59533,60385,61338,62270,63175,64134,65100,66008,67002,67942,68930,69956,71019,72109,73136,74194,75279,76344,77496,78635,79865,81061,82303,83560,84848,86154,87480,88834,90210,91599,92998,94455,95932,97424,98937,100438,102011,103556,105118,106710,108435,110094,111826,113529,115136,116919,118610,120374,122114,123863,125641,127458,129352,131193,133122,135030,136963,138972,141056,143151,145288,147375,149576,151796,154005,156282,158570,160775,163113,165546,167925,170373,172847,175349,177882,180406,183054,185632,188225,190885,193547,196165,198852,201601,204431,207141,209926,212786,215619,218401,221324,224233,227260,230340,233289,236511,239651,242819,246010,249321,252602,255971,259331,262660,266132,269783,273228,276931,280529,284105,287888,291665,295477,299347,303146,307114,311181,315258,319469,323635,327834,332175,336516,340903,345269,349675,354262,358793,363580,368188,373068,377905,382912,387906,392917,398032,403181,408451,413662,419012,424441,429903,435559,441308,447060,453091,458986,464925,470925,477077,483304,489732,496237,502680,509086,515663,522339,529229,536281,543354,550502,557736,564910,572303,579597,586999,594475,602040,609635,617449,625510,633444,641547,649822,658153,666764,675279,683829,692526,701476,710511,719625,728906,738323,747621,756943,766588,776351,786271,796450,806551,816791,827493,838196,848809,859641,870530,881494,892700,904048,915431,927138,938796,950740,962989,975183,987453,999997,1012537,1025627,1038688,1051665,1064765,1078099,1091579,1105304,1119133,1132996,1147057,1161284,1175818
1,1,1,1,2,2,3,5,6,7,7,7,7,8,10,11,14,15,17,18,18,18,18,24,26,27,28,29,34,39,43,47,47,57,63,70,79,85,94,98,107,117,123,131,139,144,150,157,163,171,178,191,204,211,220,228,235,243,248,254,262,264,271,278,287,291,296,298,303,305,307,315,319,329,339,349,357,365,372,388,400,408,422,437,455,473,493,517,540,566,584,604,618,644,667,684,706,727,750,769,792,811,827,850,868,889,904,924,942,952,965,985,999,1020,1042,1057,1091,1121,1144,1164,1186,1227,1261,1293,1329,1369,1406,1441,1483,1524,1568,1619,1659,1710,1748,1805,1865,1915,1980,2022,2084,2138,2217,2290,2349,2407,2478,2552,2611,2682,2747,2825,2898,2970,3038,3095,3160,3240,3307,3363,3438,3520,3596,3671,3751,3818,3906,3991,4072,4165,4236,4310,4400,4479,4572,4655,4746,4830,4916,5023,5104,5203,5302,5406,5515,5607,5714,5806,5897,6008,6114,6213,6299,6414,6513,6596,6697,6790,6900,7012,7111,7204,7307,7419,7524,7635,7725,7814,7937,8065,8176,8292,8435,8560,8701,8843,8969,9113,9283,9432,9588,9754,9910,10079,10255,10447,10642,10827,11019,11240,11446,11642,11856,12078,12331,12558,12795,13042,13271,13540,13788,14061,14348,14613,14883,15182,15454,15743,16033,16305,16566,16823,17086,17381,17676,17985,18285,18575,18907,19200,19501,19791,20137,20434,20763,21103,21453,21790,22150,22499,22852,23201,23567,23938,24294,24673,25036,25425,25793,26197,26637,27083,27509,27885,28309,28772,29194,29642,30114,30571,31042,31530,32032,32554,33012,33484,34044,34636,35191,35758,36338,36945,37544,38139,38752,39393,40065,40748,41412,42077,42770,43506,44227,44977,45728,46554,47357,48151,48955,49800,50568,51385,52224,53146,54040,54945,55878,56877,57869,58802,59770,60751,61833,62837,63988,65069,66126,67217,68319,69422,70610,71792,73028,74255,75469,76730,77973,79241,80496,81830,83161,84549,85987,87452,88972,90443,91979,93487,94991,96548,98097,99697,101350,102904,104595,106173,107798,109403,110994,112698,114343,116009,117657,119362,121072,122784,124491,126281,128098,129942,131745,133561,135510,137519,139471,141466,143434,145507,147561,149731,151792,153951,156165,158270,160446,162741,165034,167332,169697,172112,174538,177028,179513,182120,184531,187049,189734,192424,195168,197884,200564,203314,206112,208952,211833,214799,217778,220905,223897,226898,229926,233097,236268,239473,242696,245970,249296,252690,256152,259683,263304,266908,270645,274206,278072,281816,285680,289654,293753,297683,301892,306114,310458,314805,319109,323448,327995,332495,337099,341712,346479,351169,356005,360723,365752,370508,375644,380766,385921,391141,396340,401709,407111,412553,418015,423678,429378,435086,440928,446713,452558,458518,464514,470650,476811,483064,489369,495834,502148,508721,515217,521933,528554,535387,542327,549343,556514,563756,571121,578539,586115,593888,601487,609382,617362,625550,633871
1,1,1,3,3,8,8,9,9,10,12,13,16,19,21,23,26,29,29,30,30,37,39,41,45,47,54,60,69,75,90,94,101,114,124,137,145,156,167,180,188,195,205,210,221,229,235,247,264,273,291,300,311,329,341,353,367,381,398,412,432,457,476,503,520,537,567,594,630,660,696,727,756,786,824,857,892,935,965,1003,1054,1095,1133,1171,1214,1252,1300,1339,1375,1420,1465,1504,1537,1575,1620,1660,1694,1722,1767,1810,1856,1891,1939,1974,2011,2047,2087,2121,2159,2201,2248,2295,2349,2400,2446,2490,2538,2588,2636,2703,2768,2844,2922,2993,3062,3126,3201,3255,3315,3381,3444,3531,3609,3678,3742,3816,3886,3970,4034,4124,4198,4298,4389,4481,4563,4643,4740,4833,4945,5068,5201,5328,5456,5579,5698,5821,5952,6097,6257,6398,6529,6688,6846,7008,7200,7380,7555,7715,7898,8071,8247,8427,8606,8773,8959,9133,9347,9535,9722,9918,10109,10320,10526,10733,10946,11148,11391,11623,11858,12111,12348,12583,12818,13069,13315,13534,13757,13986,14255,14535,14807,15085,15366,15643,15913,16212,16514,16789,17086,17402,17695,18009,18340,18641,18944,19269,19619,19967,20319,20668,21026,21417,21796,22159,22567,22910,23294,23678,24079,24465,24852,25254,25676,26083,26501,26907,27308,27737,28115,28558,28944,29342,29791,30183,30609,31024,31455,31846,32278,32707,33131,33536,33947,34393,34834,35316,35740,36225,36693,37235,37769,38269,38763,39274,39811,40313,40905,41521,42074,42648,43260,43830,44402,45039,45687,46309,46926,47574,48194,48810,49504,50158,50820,51536,52155,52844,53548,54269,55042,55737,56499,57229,57970,58701,59508,60282,61035,61859,62710,63567,64429,65258,66115,67009,67902,68818,69717,70693,71624,72555,73515,74485,75481,76556,77658,78809,79876,81006,82233,83355,84481,85596,86813,88033,89291,90496,91729,93035,94250,95582,96873,98221,99562,100969,102358,103747,105165,106656,108165,109660,111175,112707,114312,115926,117659,119321,121014,122674,124406,126149,127973,129770,131632,133472,135313,137267,139308,141415,143544,145625,147746,149927,152073,154247,156446,158757,161177,163579,166007,168436,170905,173432,176044,178602,181216,183799,186421,189028,191719,194453,197140,199998,202748,205616,208401,211335,214279,217250,220241,223340,226439,229589,232698,235875,239124,242524,245982,249384,252946,256448,259992,263598,267218,270988,274839,278777,282832,286801,290810,294928,299060,303327,307558,312028,316528,321087,325635,330255,334985,339708,344653,349504,354516,359690,364934,370341,375674,381029,386579,392158,397820,403731,409496,415550,421595,427679,433992,440401,446918,453346,459923,466623,473285,480163,487218,494317,501340,508585,515874,523179,530740,538201,545992,553695,561537,569614,577757,585954,594355,602632,611034,619533,627900,636718,645829,654902,664117,673286,682599,692234,701875,711407,721290,731293,741150,751231,761512,772017,782673,793294,804244,815213,826213,837424,848554,860019,871613,883277,895106,907152,919540,931712,944116,956621,969244,982367,995607
1,1,1,2,3,4,9,11,16,18,20,22,27,29,33,38,44,50,58,66,75,84,92,99,109,118,126,132,142,150,158,172,188,200,219,231,240,258,274,296,311,328,343,358,387,412,433,452,483,512,532,549,575,595,642,672,714,746,790,837,882,933,976,1013,1057,1110,1178,1231,1289,1348,1409,1463,1522,1586,1652,1719,1782,1844,1907,1974,2026,2087,2146,2192,2253,2312,2364,2428,2473,2531,2591,2638,2685,2738,2792,2852,2931,2986,3051,3112,3160,3230,3304,3373,3453,3518,3583,3655,3742,3825,3913,3994,4081,4172,4248,4334,4428,4529,4618,4723,4826,4940,5041,5166,5255,5361,5479,5603,5718,5834,5964,6095,6210,6320,6453,6577,6715,6845,6970,7098,7236,7387,7518,7675,7817,7936,8085,8223,8372,8542,8731,8882,9038,9181,9357,9542,9720,9903,10088,10293,10515,10748,10962,11170,11398,11631,11877,12122,12342,12594,12863,13132,13424,13680,13953,14227,14510,14779,15060,15360,15688,16014,16369,16726,17056,17385,17708,18051,18395,18794,19171,19578,19991,20402,20788,21197,21620,22039,22464,22910,23333,23725,24109,24517,24893,25323,25782,26223,26630,27057,27495,27926,28360,28810,29252,29689,30157,30630,31100,31583,32102,32605,33163,33708,34208,34745,35297,35841,36396,36961,37556,38145,38760,39372,40022,40646,41302,41977,42608,43301,43969,44686,45372,46076,46796,47500,48190,48915,49682,50426,51218,52026,52783,53598,54470,55296,56148,56980,57856,58789,59747,60658,61595,62572,63527,64554,65572,66571,67521,68585,69636,70637,71731,72798,73955,75066,76203,77445,78614,79833,81107,82361,83617,84901,86277,87618,88965,90347,91733,93148,94613,96092,97571,99049,100571,102080,103685,105279,106901,108547,110282,111942,113657,115407,117237,119092,120929,122768,124604,126545,128483,130408,132341,134307,136259,138276,140233,142229,144217,146167,148266,150488,152592,154701,156833,159061,161269,163516,165839,168244,170577,172992,175417,177844,180409,182867,185430,188022,190617,193208,195931,198732,201520,204303,207172,210042,213084,216137,219288,222399,225693,228896,232210,235527,238929,242303,245831,249330,252832,256356,260073,263926,267635,271482,275384,279361,283428,287505,291557,295658,299932,304139,308534,313010,317467,321926,326389,330983,335670,340426,345202,350173,355325,360373,365504,370653,375932,381166,386579,392004,397613,403372,409088,414971,420982,427103,433263,439450,445687,452003,458231,464600,471211,477867,484708,491633,498597,505622,512685,519830,527020,534508,541934,549449,556859,564619,572442,580572,588632,596979,605408,613694,622013,630563,639244,648191,657176,666309,675434,684646,693966,703436,713022,722651,732343,742579,752702,762895,773239,783700,794148,804805,815474,826547,837487,848552,859702,870987,882693,894442,906299,918360,930468,942649,955022,967553,980023,992903,1005718,1018580,1031966,1045347,1058905,1072628,1086483,1100373,1114414,1128763,1143106,1157592,1172517,1187445,1202600,1217691,1233023,1248776,1264770,1280953,1297260,1313807,1330317,1347164,1364298,1381522,1398850,1416192,1434070,1452075,1470316,1488666,1507364,1526209,1545051,1563975,1583139,1602563,1621987
1,1,2,5,8,8,8,11,15,19,23,24,25,28,31,32,34,36,38,44,47,50,52,56,59,71,74,76,88,93,102,110,115,128,141,149,160,169,181,185,197,210,222,234,247,262,277,288,300,311,321,334,346,362,377,390,413,431,450,463,475,495,514,532,546,568,580,594,608,634,649,664,678,697,720,739,761,786,816,841,865,887,904,927,954,976,1005,1033,1059,1087,1124,1159,1198,1244,1285,1328,1368,1417,1456,1500,1548,1609,1650,1700,1745,1801,1854,1896,1947,2011,2051,2101,2153,2214,2284,2328,2391,2449,2495,2544,2597,2646,2695,2750,2807,2867,2933,2986,3037,3078,3126,3176,3244,3287,3345,3409,3476,3554,3612,3667,3717,3779,3845,3905,3977,4039,4110,4178,4255,4345,4438,4515,4599,4690,4785,4892,4994,5093,5193,5292,5393,5498,5601,5711,5838,5973,6092,6234,6352,6466,6585,6728,6854,6969,7132,7265,7414,7547,7696,7823,7970,8106,8252,8401,8557,8702,8850,8994,9137,9314,9482,9634,9791,9961,10147,10332,10526,10721,10924,11109,11318,11539,11738,11993,12227,12461,12675,12906,13140,13399,13656,13872,14150,14400,14672,14943,15181,15439,15743,16052,16335,16602,16850,17131,17455,17748,18073,18381,18712,19029,19319,19652,19966,20267,20616,20973,21342,21718,22139,22492,22834,23213,23601,23976,24378,24761,25179,25587,25968,26372,26744,27168,27578,27979,28366,28771,29235,29671,30130,30545,30984,31387,31848,32285,32715,33187,33642,34085,34541,35012,35465,35911,36405,36879,37336,37805,38297,38786,39308,39797,40291,40818,41333,41857,42412,42936,43505,44091,44706,45273,45903,46462,46995,47568,48210,48820,49419,50037,50682,51290,51926,52611,53251,53885,54576,55252,55944,56675,57434,58184,58960,59706,60499,61254,62032,62860,63696,64566,65359,66237,67107,68013,68939,69868,70783,71759,72635,73621,74604,75533,76520,77532,78528,79540,80545,81564,82584,83651,84702,85814,86869,87990,89159,90348,91483,92673,93871,95068,96306,97571,98815,100077,101329,102639,103959,105268,106587,108019,109392,110862,112264,113705,115120,116587,118119,119619,121227,122804,124438,126107,127780,129466,131118,132800,134530,136281,138053,139838,141607,143404,145236,147065,148970,150910,152862,154770,156641,158658,160770,162911,165051,167220,169406,171581,173751,175921,178194,180544,182818,185125,187420,189857,192188,194508,196866,199362,201855,204406,206996,209513,212165,214849,217565,220258,222983,225766,228628,231554,234444,237424,240392,243480,246614,249815,253102,256300,259583,262985,266457,269944,273433,277085,280773,284506,288222,292063,296047,300001,303967,308052,312000,316265,320501,324832,329255,333675,338186,342739,347292,351880,356614,361460,366297,371195,376206,381335,386468,391662,397085,402378,407897,413348,418979,424612,430208,436007,441774,447437,453395,459405,465289,471325,477716,484103,490415,496786,503206,509899,516540,523404,530272,537245,544185,551240,558464,565718,573303,580968,588688,596491,604433,612415,620692,629052,637408,645985,654827
1,1,1,1,1,1,3,4,5,8,9,9,12,15,15,15,17,17,18,18,18,18,19,20,24,24,28,31,33,35,36,40,47,49,55,61,67,75,82,93,100,110,120,130,142,153,164,180,202,217,236,256,277,303,323,352,379,412,439,469,501,534,563,596,638,686,725,766,821,861,920,957,1006,1050,1118,1164,1200,1249,1303,1353,1403,1447,1497,1550,1618,1674,1744,1796,1852,1917,1977,2032,2097,2156,2218,2284,2348,2421,2495,2566,2631,2703,2783,2849,2923,3002,3086,3181,3268,3365,3448,3525,3602,3686,3785,3867,3954,4044,4135,4226,4319,4423,4510,4607,4719,4836,4932,5040,5164,5279,5385,5519,5651,5771,5877,6004,6124,6259,6401,6532,6664,6783,6919,7066,7187,7298,7423,7555,7691,7835,7975,8124,8266,8406,8582,8716,8849,9001,9167,9333,9504,9702,9889,10077,10264,10421,10591,10775,10997,11221,11444,11708,11964,12216,12458,12684,12933,13176,13427,13708,13961,14248,14542,14826,15110,15425,15717,16040,16360,16687,17011,17360,17676,18058,18424,18782,19135,19476,19869,20280,20665,21068,21495,21909,22301,22702,23117,23560,24001,24429,24894,25386,25873,26382,26869,27351,27866,28350,28871,29427,30032,30600,31186,31777,32324,32953,33541,34179,34879,35517,36178,36873,37579,38312,38987,39755,40503,41305,42063,42852,43631,44436,45296,46122,46930,47753,48584,49397,50274,51140,52035,52918,53830,54730,55681,56649,57542,58457,59416,60362,61332,62299,63287,64335,65411,66450,67557,68612,69749,70813,71970,73113,74275,75391,76596,77779,78990,80250,81471,82743,83990,85233,86635,87900,89204,90523,91852,93140,94500,95876,97314,98773,100189,101665,103116,104583,106134,107702,109408,111079,112749,114357,116035,117775,119541,121383,123171,125032,126939,128773,130668,132734,134734,136766,138794,140849,142932,145101,147218,149355,151527,153739,155954,158320,160654,163025,165568,168106,170654,173259,175992,178637,181377,184195,187028,189893,192761,195666,198628,201616,204716,207840,210986,214199,217495,220773,224197,227478,230832,234272,237854,241477,245168,248896,252715,256639,260457,264146,267974,271918,275936,280073,284231,288430,292662,296999,301326,305739,310200,314841,319533,324249,328900,333825,338770,343769,348611,353628,358765,363946,369246,374666,379973,385375,390855,396320,402033,407693,413494,419351,425150,431263,437341,443386,449471,455674,461988,468287,474672,481155,487609,494324,501141,508052,515083,522102,529118,536502,543942,551384,559048,566685,574487,582399,590512,598645,606892,615273,623650,632278,640896,649640,658491,667590,676771,686132,695435,704987,714544,724347,734229,744210,754186,764416,774788,785116,795628,806336,817181,828209,839206,850469,861935,873431,884983,896673,908452,920397,932539,944768,957100,969439,982112,995099,1008148,1021257,1034600,1047902,1061485,1075189,1089227,1103310,1117958,1132480,1146985,1161683,1176425,1191654,1206666,1222038,1237686,1253479,1269407,1285543,1301767,1318150,1334907,1351517,1368099,1385315,1402739,1420025,1437820,1455502,1473506,1491521,1509835,1527989,1546817,1565542,1584535,1603814,1623041,1642428,1662184,1682222,1702099
1,1,1,1,1,1,2,5,6,6,7,8,9,11,17,20,20,25,29,33,34,39,40,48,54,61,67,72,79,82,86,91,105,109,117,122,132,142,152,159,163,172,187,192,202,211,220,229,242,248,254,263,272,283,296,311,323,334,345,349,357,371,399,419,443,462,492,518,543,579,610,640,670,699,748,781,817,847,885,934,993,1025,1080,1122,1167,1209,1261,1302,1348,1409,1454,1493,1543,1582,1618,1659,1703,1763,1803,1853,1893,1947,2005,2055,2105,2151,2215,2258,2298,2346,2397,2445,2507,2563,2617,2677,2731,2791,2851,2907,2966,3031,3085,3152,3228,3302,3364,3435,3507,3587,3649,3710,3785,3881,3948,4036,4114,4209,4285,4375,4458,4549,4664,4755,4845,4919,5022,5137,5240,5343,5453,5575,5667,5768,5887,6002,6099,6213,6330,6445,6574,6697,6803,6941,7053,7198,7336,7478,7606,7719,7816,7929,8056,8188,8345,8483,8656,8811,8955,9110,9282,9435,9630,9819,10016,10237,10418,10615,10807,11036,11251,11468,11685,11880,12086,12319,12561,12818,13076,13335,13597,13859,14149,14407,14682,14969,15250,15516,15811,16111,16398,16714,17015,17342,17676,17979,18327,18661,19037,19366,19722,20057,20395,20722,21085,21436,21809,22176,22538,22926,23342,23741,24155,24604,25052,25519,25949,26405,26896,27360,27809,28315,28839,29303,29776,30267,30783,31284,31753,32252,32738,33215,33729,34212,34679,35159,35648,36107,36615,37143,37661,38143,38657,39244,39830,40374,40875,41459,42025,42584,43154,43741,44371,45051,45673,46286,46964,47655,48311,48978,49606,50296,51030,51730,52485,53176,53894,54682,55438,56229,56983,57748,58516,59303,60072,60816,61588,62355,63163,63982,64825,65703,66515,67309,68153,68962,69811,70707,71554,72423,73318,74239,75134,76068,76967,77962,78867,79912,80863,81876,82935,83995,85087,86234,87427,88535,89697,90892,92067,93318,94592,95856,97044,98340,99587,100873,102196,103506,104866,106264,107647,109065,110531,111991,113514,115033,116601,118234,119839,121466,123164,124812,126417,128135,129831,131551,133412,135214,137031,138904,140838,142716,144628,146544,148461,150486,152434,154430,156562,158629,160705,162781,164925,167118,169302,171472,173712,176015,178412,180784,183195,185559,187972,190432,192903,195460,198092,200676,203346,206056,208774,211548,214374,217237,220070,222956,225999,228936,231846,235005,238110,241308,244493,247674,250984,254295,257621,260957,264396,267830,271245,274730,278411,282152,285889,289683,293397,297310,301200,305018,308903,312946,316952,321071,325106,329215,333402,337661,342037,346339,350714,355149,359686,364342,368957,373710,378556,383545,388433,393456,398452,403552,408746,413985,419310,424704,430187,435654,441116,446758,452453,458160,464118,470019,476070,482248,488400,494509,500896,507330,513678,520114,526709,533225,539885,546494,553364,560205,567217,574319,581227,588585,596004,603397,610914,618622,626255,634004,642197,650179,658363,666550,674820,683155,691579,700192,708889,717591,726618,735515,744650,753715,762954,772284,781765,791283,801009
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1,1,1,1,1,1,4,8,10,12,17,20,23,27,29,36,37,42,46,51,55,64,67,70,78,87,93,100,109,123,136,143,159,171,182,195,211,223,236,250,266,288,303,315,327,346,368,389,409,424,438,463,495,516,540,558,578,600,626,646,672,692,729,753,784,810,842,867,884,909,928,954,977,1002,1029,1046,1065,1090,1105,1123,1133,1141,1155,1177,1202,1222,1235,1254,1286,1307,1334,1367,1400,1439,1476,1518,1551,1601,1636,1676,1726,1780,1805,1860,1923,1992,2046,2098,2153,2213,2286,2351,2405,2485,2543,2615,2666,2729,2802,2868,2935,3001,3064,3139,3210,3300,3387,3471,3559,3661,3722,3803,3898,4002,4103,4207,4297,4387,4472,4591,4713,4829,4944,5054,5159,5259,5371,5492,5611,5727,5852,5977,6114,6255,6383,6509,6657,6812,6990,7142,7296,7449,7619,7759,7947,8138,8330,8512,8695,8879,9090,9291,9520,9717,9938,10117,10319,10506,10706,10909,11113,11336,11569,11775,12002,12201,12421,12640,12859,13081,13330,13567,13813,14084,14310,14556,14802,15054,15334,15603,15875,16138,16419,16714,17017,17278,17558,17894,18219,18527,18890,19239,19581,19915,20293,20628,20998,21355,21745,22084,22446,22808,23207,23633,24012,24445,24853,25290,25719,26158,26585,27039,27529,28013,28506,28950,29448,29927,30434,30948,31459,31953,32462,33012,33563,34094,34644,35194,35730,36294,36878,37426,38003,38616,39216,39843,40485,41140,41848,42516,43190,43905,44620,45320,46009,46722,47448,48204,48968,49713,50471,51299,52047,52872,53717,54508,55274,56160,57011,57878,58814,59728,60668,61591,62495,63446,64446,65523,66494,67502,68525,69630,70690,71715,72843,73964,75163,76390,77598,78803,80031,81322,82623,83897,85212,86514,87890,89197,90548,91935,93343,94790,96148,97586,99061,100548,102065,103556,105012,106580,108117,109697,111301,112886,114522,116191,117804,119404,121181,122852,124680,126489,128339,130257,132104,134040,135983,137862,139921,141986,144081,146254,148441,150680,152892,155104,157416,159754,162032,164513,166977,169437,171955,174540,177167,179817,182473,185147,187913,190746,193600,196497,199548,202558,205475,208445,211449,214599,217729,220893,223914,227110,230400,233711,237003,240306,243674,246991,250538,254074,257591,261197,264916,268565,272397,276236,279966,283801,287685,291779,295755,299945,304024,308122,312310,316579,320709,324899,329424,333943,338583,343158,347808,352553,357329,362184,367150,371924,377032,382134,387268,392498,397961,403363,408840,414471,420170,426006,431784,437574,443361,449333,455398,461588,467845,474108,480507,487105,493664,500437,507150,514024,521005,527992,535191,542378,549716,557184,564801,572303,579900,587865,595794,603776,611774,620044,628331,636773,645356,654170,662803,671633,680626,689913,698934,708308,717756,727198,736785,746421,756331,766239,776321,786462,796931,807392,818057,828707,839563,850447,861476,872606,883719,894987,906476,918236,930035,941734,953869,965922,977929,990073,1002488,1014833,1027688,1040660,1053668,1066657,1080008,1093367,1106834,1120437,1134187,1148123,1162108,1176304,1190783
1,1,1,1,4,9,14,20,21,24,26,28,31,36,42,49,54,61,63,69,76,90,95,104,108,114,127,140,149,162,169,175,180,189,194,202,209,215,223,226,233,240,246,252,257,261,268,272,276,279,283,289,289,290,292,295,303,307,309,311,315,318,319,322,325,331,334,343,348,354,361,379,389,392,403,411,418,428,436,450,460,465,473,485,497,509,519,528,544,564,580,600,619,635,648,665,680,696,704,720,739,757,776,799,828,848,877,902,930,949,974,999,1023,1051,1080,1109,1138,1167,1191,1240,1271,1322,1371,1417,1471,1522,1573,1625,1662,1712,1777,1818,1872,1932,1996,2070,2138,2213,2280,2352,2418,2492,2575,2669,2760,2850,2930,3036,3131,3239,3352,3464,3566,3678,3804,3938,4054,4177,4313,4423,4567,4697,4825,4972,5093,5237,5382,5507,5625,5782,5895,6037,6193,6342,6487,6627,6773,6929,7080,7242,7397,7538,7709,7867,8017,8190,8381,8551,8732,8933,9109,9317,9535,9734,9924,10140,10352,10574,10798,11032,11258,11489,11737,11977,12200,12432,12688,12938,13200,13513,13777,14033,14309,14604,14891,15181,15498,15807,16125,16479,16800,17113,17471,17845,18227,18589,18953,19321,19684,20036,20413,20750,21115,21485,21885,22235,22639,23048,23465,23862,24297,24706,25125,25594,26034,26456,26952,27469,27973,28511,29052,29619,30182,30735,31288,31876,32440,33054,33689,34297,34906,35569,36252,36911,37617,38332,39046,39809,40527,41199,41902,42588,43367,44096,44825,45547,46282,47026,47824,48589,49448,50240,51002,51816,52596,53448,54274,55075,55958,56849,57777,58719,59642,60571,61466,62454,63487,64508,65539,66581,67599,68645,69749,70860,71926,73048,74205,75386,76600,77795,78979,80190,81370,82600,83849,85122,86405,87692,89030,90402,91733,93116,94474,95904,97315,98720,100178,101596,103000,104468,105997,107519,109093,110547,112190,113741,115362,117078,118766,120513,122158,123872,125647,127449,129312,131210,133110,134982,136934,138827,140791,142849,144871,146928,149049,151130,153445,155643,157875,160134,162391,164616,166938,169208,171635,173975,176422,178891,181473,183890,186477,189117,191688,194306,197028,199788,202517,205342,208071,210904,213810,216739,219703,222756,225796,228972,232142,235335,238636,241890,245149,248498,251881,255377,258918,262362,265940,269687,273515,277320,281244,285177,289175,293269,297455,301593,305796,310124,314597,319176,323606,328175,332815,337574,342398,347301,352306,357281,362292,367412,372498,377723,382879,388293,393730,399115,404644,410179,415620,421230,426934,432687,438464,444323,450258,456207,462412,468578,475006,481378,487746,494329,500911,507551,514463,521369,528291,535390,542518,549776,557315,564630,572254,579860,587639,595356,603403,611364,619525,627750,636074,644378,652908,661370,670169,678899,687482,696421,705534,714584,723975,733438,742927,752643,762504,772381,782740,793072,803383,813923,824665,835629,846602,857861,869049,880354,891808,903479,915191,927107,939157,951459,963707,976332,988942,1001566,1014468
1,1,1,1,2,2,3,6,8,9,10,14,14,14,14,15,17,17,20,23,24,29,38,42,44,46,50,56,59,65,72,76,82,85,91,94,108,111,118,127,137,144,148,151,159,167,176,188,197,208,218,225,232,237,242,246,254,255,259,263,267,268,272,276,284,287,292,295,300,304,309,311,314,322,331,339,347,356,368,374,383,390,403,430,446,470,491,523,535,551,566,592,616,640,670,705,738,765,795,830,870,892,928,970,1009,1060,1098,1153,1191,1230,1271,1321,1369,1416,1458,1510,1556,1596,1644,1689,1726,1782,1850,1906,1954,2002,2053,2104,2159,2227,2289,2355,2424,2489,2564,2629,2710,2773,2859,2937,3021,3101,3187,3278,3355,3423,3502,3574,3653,3749,3829,3905,3999,4086,4179,4255,4333,4426,4504,4579,4685,4784,4862,4958,5028,5115,5201,5278,5342,5443,5531,5620,5706,5810,5912,6010,6098,6200,6309,6409,6507,6608,6717,6802,6916,7024,7118,7228,7359,7443,7545,7639,7757,7861,8007,8124,8223,8340,8472,8603,8727,8857,8989,9106,9251,9379,9508,9644,9787,9922,10049,10201,10326,10461,10611,10757,10902,11045,11192,11345,11499,11645,11825,11968,12124,12306,12478,12669,12860,13066,13248,13447,13634,13829,14009,14194,14383,14579,14776,14992,15184,15383,15596,15792,15997,16197,16406,16630,16876,17123,17313,17572,17796,18014,18222,18471,18715,18965,19218,19474,19700,19948,20204,20452,20706,20961,21248,21524,21804,22054,22338,22625,22898,23177,23478,23815,24116,24418,24750,25080,25408,25738,26065,26395,26803,27156,27522,27862,28211,28586,28986,29380,29771,30226,30621,31020,31449,31849,32255,32654,33082,33520,33925,34308,34734,35154,35555,35972,36392,36842,37321,37782,38256,38730,39197,39700,40206,40648,41105,41580,42099,42613,43145,43674,44200,44730,45281,45806,46351,46948,47544,48158,48737,49356,49941,50535,51154,51781,52428,53070,53728,54415,55079,55727,56406,57080,57775,58507,59225,59987,60755,61525,62270,63022,63782,64494,65282,66040,66846,67658,68481,69271,70073,70900,71714,72531,73392,74221,75103,75916,76765,77653,78618,79484,80433,81382,82333,83330,84357,85338,86278,87311,88339,89462,90565,91706,92905,94115,95331,96478,97763,99119,100430,101779,103106,104506,105961,107411,108785,110310,111894,113529,115086,116676,118348,119921,121506,123192,124881,126563,128355,130102,131900,133633,135428,137343,139143,140970,142944,144780,146719,148600,150535,152504,154529,156537,158625,160648,162667,164805,166934,169095,171188,173376,175690,177967,180304,182660,184978,187326,189714,192163,194760,197241,199766,202392,204928,207624,210299,213067,215915,218749,221607,224549,227537,230576,233606,236655,239782,243028,246265,249603,252987,256286,259692,263085,266635,270252,273880,277473,281182,284931,288758,292557,296372,300210,304059,308095,312187,316227,320388,324586,328863,333186,337619,342179,346634,351193,355896,360657,365376,370175,374982,379874,384800,389806,394786
1,1,3,4,4,5,6,8,9,13,18,21,26,32,38,46,51,58,66,69,78,83,87,104,116,128,142,152,162,177,193,209,226,243,267,289,302,321,348,360,374,388,402,422,446,474,499,520,533,553,576,604,621,652,686,720,742,764,798,842,886,911,959,997,1038,1084,1141,1201,1252,1301,1343,1388,1431,1470,1510,1568,1608,1663,1725,1773,1819,1862,1920,1987,2036,2085,2168,2231,2285,2331,2381,2436,2511,2571,2640,2710,2774,2845,2922,2999,3075,3144,3226,3315,3388,3479,3566,3656,3735,3826,3945,4052,4162,4257,4367,4448,4568,4679,4791,4906,5022,5111,5229,5345,5457,5542,5646,5749,5847,5934,6029,6121,6225,6319,6412,6501,6602,6679,6760,6856,6944,7040,7131,7222,7322,7400,7500,7586,7663,7758,7860,7962,8058,8141,8233,8328,8420,8525,8630,8725,8818,8931,9033,9139,9246,9346,9457,9579,9684,9801,9908,10015,10118,10225,10343,10461,10577,10704,10818,10928,11032,11111,11228,11340,11435,11541,11657,11751,11889,11990,12099,12213,12330,12451,12553,12649,12748,12833,12930,13039,13137,13259,13382,13510,13622,13733,13863,13985,14091,14226,14348,14471,14582,14697,14845,14996,15136,15278,15425,15569,15735,15904,16078,16259,16439,16630,16836,17011,17194,17366,17545,17724,17936,18134,18346,18593,18796,19031,19260,19489,19709,19954,20205,20440,20697,20954,21210,21491,21767,22034,22313,22574,22843,23083,23335,23601,23881,24158,24405,24671,24946,25221,25501,25794,26078,26364,26646,26928,27227,27551,27824,28135,28452,28822,29160,29500,29822,30204,30589,30949,31331,31706,32080,32476,32879,33309,33739,34122,34558,35039,35518,36020,36511,37018,37466,37993,38490,39022,39574,40147,40726,41337,41962,42542,43137,43780,44442,45116,45779,46455,47196,47843,48576,49234,49981,50753,51485,52336,53124,53911,54698,55505,56363,57172,58012,58890,59785,60636,61549,62429,63345,64296,65246,66218,67186,68152,69135,70140,71178,72177,73274,74364,75448,76557,77671,78786,79938,81129,82363,83574,84764,85988,87347,88639,89880,91167,92423,93727,95101,96492,97994,99356,100720,102198,103711,105162,106749,108263,109742,111249,112857,114516,116248,117834,119531,121212,122922,124622,126432,128236,130017,131739,133712,135628,137580,139514,141530,143551,145611,147628,149682,151817,153894,156106,158309,160538,162740,165043,167360,169645,171953,174369,176762,179118,181585,184094,186560,189031,191683,194347,196970,199640,202383,205074,207817,210556,213361,216359,219353,222361,225445,228502,231676,234920,238181,241456,244777,248276,251659,255143,258653,262267,265949,269700,273512,277326,281115,285134,289153,293336,297566,301789,306152,310642,315174,319590,324233,328988,333781,338494,343496,348438,353463,358525,363608,368843,374162,379521,384914,390347,395852,401421,407004,412672,418381,424180,430096,435948,441989,448155,454299,460442,466910,473428,479898,486483,493096,499813,506726,513598,520670,527848,535121,542481,549933,557234,564764,572444,580307,588224,596126,604222,612498,620797,629208,637673,646160
1,1,1,1,1,3,6,6,7,7,9,11,13,15,19,24,29,32,37,40,48,62,68,74,81,89,95,108,114,123,131,142,149,155,163,172,183,187,195,202,208,216,222,231,241,248,260,266,273,276,283,287,292,300,303,313,332,344,359,370,373,382,393,406,424,439,454,466,479,493,506,525,544,558,572,592,616,639,675,705,729,756,786,812,836,859,887,919,961,991,1020,1053,1091,1127,1154,1187,1234,1276,1314,1362,1406,1454,1487,1524,1566,1606,1648,1703,1749,1789,1826,1872,1925,1978,2030,2086,2147,2209,2269,2318,2369,2418,2471,2537,2579,2643,2689,2746,2797,2866,2925,2992,3044,3110,3171,3216,3278,3334,3371,3417,3467,3515,3583,3637,3701,3756,3808,3857,3911,3959,4014,4072,4114,4148,4204,4257,4300,4350,4394,4451,4506,4569,4630,4685,4753,4825,4874,4930,5002,5072,5130,5203,5294,5357,5437,5520,5597,5666,5735,5818,5906,5989,6080,6172,6254,6339,6421,6490,6572,6670,6764,6862,6959,7080,7166,7270,7368,7473,7563,7658,7746,7856,7971,8070,8178,8284,8392,8501,8628,8760,8885,9002,9119,9238,9349,9473,9594,9726,9831,9919,10054,10177,10293,10401,10522,10666,10811,10936,11076,11216,11337,11464,11618,11784,11923,12078,12232,12379,12525,12675,12836,13006,13169,13345,13496,13667,13854,14041,14210,14391,14582,14741,14931,15107,15291,15507,15741,15974,16201,16424,16656,16866,17093,17339,17587,17868,18128,18389,18637,18945,19228,19513,19806,20107,20395,20691,21000,21309,21632,21977,22318,22666,22971,23303,23668,24019,24357,24740,25153,25571,25958,26349,26715,27128,27559,28012,28460,28913,29340,29823,30289,30781,31265,31729,32242,32719,33187,33715,34227,34782,35361,35917,36426,37010,37555,38100,38654,39199,39767,40346,40901,41482,42088,42691,43330,43950,44551,45179,45827,46549,47193,47839,48554,49255,50027,50758,51519,52328,53067,53855,54593,55381,56156,56998,57797,58649,59499,60350,61263,62136,62974,63921,64803,65760,66712,67631,68632,69551,70540,71520,72539,73554,74601,75586,76713,77802,78910,80026,81060,82188,83346,84513,85735,87015,88248,89452,90720,91959,93257,94549,95846,97164,98463,99919,101307,102661,104032,105489,106958,108400,109843,111334,112863,114418,116031,117651,119265,120986,122668,124336,126007,127784,129472,131190,133096,134930,136795,138747,140649,142646,144691,146714,148778,150858,152985,155162,157371,159543,161710,163835,166020,168167,170480,172753,175030,177397,179731,182142,184541,186921,189314,191744,194223,196738,199325,201930,204524,207258,209937,212739,215605,218437,221409,224318,227325,230194,233334,236472,239589,242827,246168,249624,253007,256455,259995,263600,267195,270919,274619,278309,282127,285995,289909,293911,297848,301922,306136,310228,314438,318752,323066,327396,331771,336318,340959,345465,350078,354612,359314,364123,368898,373827,378823,383844,388922,394127,399386,404733,410088,415534,421088,426713,432478,438308,444141,450074,456235
1,1,1,2,2,2,4,4,4,5,5,6,9,12,14,18,21,21,21,21,22,26,27,30,34,38,45,48,52,55,58,67,77,84,90,100,108,112,119,128,139,151,158,164,173,178,183,188,192,193,198,206,207,210,215,224,230,233,234,239,243,245,251,254,258,264,269,272,274,277,283,286,293,298,300,307,314,318,327,333,339,345,354,366,376,384,398,415,429,445,460,475,491,503,523,541,555,570,579,594,608,630,650,674,689,701,724,742,774,809,836,878,911,941,967,1001,1045,1091,1129,1186,1241,1302,1360,1414,1461,1514,1582,1639,1703,1780,1843,1915,1985,2065,2137,2215,2298,2373,2434,2525,2604,2687,2793,2899,3021,3119,3235,3336,3430,3541,3656,3764,3878,3983,4077,4194,4287,4396,4513,4611,4728,4821,4927,5038,5133,5209,5300,5404,5498,5615,5744,5852,5951,6036,6129,6240,6349,6479,6596,6724,6868,6977,7131,7283,7417,7542,7691,7855,8022,8188,8355,8490,8662,8837,9018,9208,9398,9582,9793,10001,10200,10405,10592,10780,10968,11191,11408,11638,11838,12046,12260,12476,12692,12907,13104,13317,13532,13738,13964,14190,14415,14639,14872,15124,15354,15610,15860,16138,16387,16642,16888,17173,17446,17730,18021,18316,18598,18900,19220,19567,19875,20181,20492,20841,21193,21548,21894,22223,22565,22933,23287,23648,24069,24429,24810,25198,25582,26003,26422,26836,27250,27676,28143,28575,29064,29502,29930,30369,30817,31242,31701,32149,32571,32982,33401,33830,34286,34739,35163,35604,36046,36503,36947,37425,37905,38357,38832,39293,39788,40285,40749,41236,41745,42265,42812,43390,43915,44505,45123,45682,46275,46888,47500,48096,48770,49413,50095,50729,51427,52120,52773,53463,54155,54867,55559,56341,57088,57792,58509,59265,60081,60824,61616,62431,63274,64148,64937,65768,66585,67436,68283,69129,70010,70876,71757,72649,73593,74527,75480,76389,77342,78272,79225,80183,81121,82110,83045,84017,85029,86087,87129,88227,89252,90336,91371,92454,93551,94686,95756,96938,98094,99318,100521,101705,102893,104048,105297,106524,107713,108999,110294,111668,112995,114348,115781,117143,118469,119889,121316,122716,124186,125735,127265,128806,130360,131851,133418,135021,136636,138246,139922,141603,143265,145006,146755,148614,150439,152337,154198,156048,157947,159911,161840,163811,165813,167813,169709,171844,173946,175971,178152,180325,182497,184672,186963,189239,191539,193981,196364,198793,201178,203639,206219,208772,211434,214021,216708,219403,222156,224920,227789,230649,233468,236353,239374,242435,245469,248539,251695,254902,258074,261390,264739,268120,271467,274887,278333,281895,285479,289018,292772,296409,300239,304107,307934,311847,315816,319791,323830,328048,332275,336607,340931,345329,349864,354446,358927,363639,368433,373300,378169,383183,388270,393347,398581,403836,409137,414547,420033,425523,431065,436771,442493,448212,453894,459901,465810,471907,477999,484075,490272,496789,503233,509736,516346,522860,529530
1,1,1,1,1,1,2,3,4,5,6,7,7,7,10,11,14,19,19,20,22,24,27,34,38,47,50,54,64,70,83,91,96,103,110,115,123,130,141,148,158,172,182,191,208,217,227,235,246,260,269,281,291,305,320,337,351,369,387,399,419,435,458,480,495,515,535,556,580,597,620,654,678,700,742,774,805,833,867,907,952,990,1013,1058,1103,1149,1201,1252,1312,1361,1411,1460,1520,1579,1643,1697,1758,1818,1875,1939,2002,2058,2136,2194,2250,2321,2376,2439,2510,2560,2617,2677,2744,2802,2856,2923,2984,3057,3120,3178,3241,3289,3347,3409,3465,3530,3591,3633,3683,3742,3804,3867,3920,3976,4042,4100,4158,4211,4256,4330,4387,4444,4506,4560,4622,4677,4739,4796,4849,4906,4954,5010,5067,5127,5187,5247,5316,5394,5465,5539,5601,5655,5732,5810,5893,5972,6067,6171,6266,6336,6440,6552,6658,6780,6915,7015,7133,7257,7360,7487,7636,7781,7900,8032,8180,8302,8441,8562,8734,8888,9050,9219,9390,9563,9736,9922,10094,10274,10458,10639,10832,11019,11213,11396,11579,11787,11982,12192,12391,12571,12776,12984,13205,13398,13617,13863,14079,14331,14545,14800,15057,15265,15512,15764,16044,16298,16550,16822,17079,17364,17660,17954,18290,18598,18945,19266,19576,19953,20315,20669,21047,21418,21749,22075,22437,22795,23144,23496,23833,24208,24579,24915,25278,25654,25999,26354,26672,27077,27446,27805,28138,28491,28884,29252,29628,30015,30386,30726,31105,31495,31883,32303,32745,33202,33635,34058,34520,34938,35396,35848,36303,36786,37274,37789,38329,38936,39504,40089,40639,41188,41750,42303,42871,43457,44034,44659,45269,45870,46496,47157,47804,48428,49054,49724,50372,51059,51752,52439,53108,53830,54532,55219,55985,56719,57537,58366,59261,60076,60916,61731,62645,63480,64362,65184,66047,66961,67910,68817,69750,70702,71679,72565,73494,74463,75489,76490,77466,78513,79548,80615,81667,82719,83906,85032,86146,87331,88521,89705,90916,92102,93385,94623,95865,97144,98411,99631,100951,102310,103661,104987,106368,107771,109148,110536,111919,113392,114824,116269,117767,119332,120933,122643,124346,126025,127717,129422,131126,132814,134551,136279,138071,139849,141652,143540,145493,147472,149362,151368,153381,155365,157454,159482,161537,163676,165812,168006,170258,172553,174790,177198,179589,182047,184637,187181,189695,192295,194845,197459,200139,202928,205728,208556,211412,214301,217222,220208,223305,226390,229515,232662,235900,239136,242463,245779,249176,252554,256081,259615,263263,266916,270598,274417,278272,282292,286174,290265,294379,298553,302801,307142,311430,315820,320383,324818,329446,334089,338862,343583,348529,353532,358614,363715,368691,373843,378954,384085,389424,394723,400135,405553,411101,416691,422524,428508,434419,440388,446413,452569,458792,465176,471338,477635,484151,490689,497348,504160,510880,517796,524761,531794,539169,546497,553889,561428,569027,576676,584413,592211,600138,608269,616259,624506,632785,641240,649817,658556,667499
1,1,1,1,1,1,1,3,5,6,8,9,11,11,11,12,12,14,16,19,26,29,31,34,38,40,41,48,51,55,56,60,65,69,71,79,84,91,98,105,113,122,134,139,143,151,156,163,171,180,188,200,208,215,227,231,236,244,253,262,272,280,296,308,323,336,349,372,385,397,409,428,441,448,463,480,494,505,522,538,556,570,580,602,618,635,656,685,712,739,763,783,811,838,858,887,925,960,993,1039,1079,1119,1164,1200,1246,1290,1338,1383,1424,1455,1497,1537,1583,1630,1685,1730,1778,1821,1866,1908,1967,2020,2066,2122,2179,2247,2319,2405,2475,2553,2635,2710,2757,2818,2885,2960,3030,3097,3177,3246,3314,3374,3441,3529,3606,3685,3759,3834,3906,3994,4076,4158,4246,4330,4409,4486,4552,4617,4711,4807,4885,4982,5082,5171,5260,5358,5458,5555,5646,5772,5891,6012,6115,6223,6323,6449,6562,6699,6820,6944,7071,7213,7353,7485,7618,7771,7958,8107,8301,8482,8634,8812,8989,9183,9355,9548,9719,9917,10116,10323,10543,10758,10980,11205,11421,11635,11849,12091,12339,12596,12860,13126,13375,13630,13913,14155,14435,14704,15006,15284,15600,15945,16260,16579,16926,17271,17629,17971,18343,18712,19082,19468,19878,20287,20687,21115,21560,21960,22393,22755,23195,23610,24066,24496,24973,25440,25877,26381,26858,27326,27835,28325,28826,29334,29879,30405,30983,31537,32132,32774,33388,34001,34657,35349,36014,36678,37347,38076,38809,39552,40271,41018,41822,42586,43440,44247,45129,46019,46854,47751,48672,49673,50631,51624,52615,53557,54572,55612,56714,57786,58945,60130,61286,62459,63579,64812,66088,67384,68668,69970,71336,72680,73947,75302,76691,78031,79441,80860,82385,83932,85460,87039,88587,90174,91800,93353,95028,96741,98477,100231,101979,103747,105520,107358,109188,111193,113114,115106,117115,119151,121231,123314,125491,127629,129808,132030,134249,136602,138998,141387,143803,146287,148810,151272,153833,156414,159055,161727,164532,167329,170110,172949,175746,178690,181583,184547,187575,190711,193773,196801,200110,203278,206506,209777,213103,216509,219921,223307,226833,230360,233908,237580,241146,244897,248676,252473,256304,260177,264060,267921,271946,276084,280108,284196,288402,292639,296886,301279,305603,309920,314420,318931,323506,328083,332829,337670,342639,347565,352581,357620,362790,368012,373324,378746,384117,389639,395286,400994,406714,412524,418342,424161,430309,436294,442340,448655,454957,461328,467702,474230,480728,487541,494289,500986,507748,514704,521618,528704,535737,543173,550658,558213,565643,573242,580924,588643,596641,604760,612813,621115,629556,637982,646415,655148,663951,672880,682082,691330,700903,710598,720188,729959,739977,749885,760056,770419,780822,791507,802282,813102,823843,834592,845673,856917,868525,880065,891721,903309,915362,927226,939257,951600,964105,976610,989279,1001959,1014643,1027758,1040715,1054193,1067721,1081359,1095042,1108927,1122833,1137142,1151378,1165847,1180624,1195141,1209944,1225204,1240400,1255863,1271480,1286947,1302542
1,1,1,1,1,2,3,4,5,8,11,11,11,13,16,19,27,29,33,38,43,52,63,71,80,92,98,109,112,126,140,153,165,176,187,193,204,212,222,233,251,264,280,292,303,314,327,344,358,373,389,411,427,446,462,481,504,520,544,554,572,588,598,616,642,665,687,703,722,738,754,780,813,832,858,884,906,931,963,1000,1033,1060,1100,1144,1177,1220,1269,1306,1350,1382,1414,1456,1504,1539,1573,1612,1657,1710,1761,1812,1861,1917,1970,2015,2072,2115,2163,2222,2276,2325,2382,2437,2490,2548,2603,2656,2728,2794,2859,2928,3016,3079,3140,3223,3307,3385,3479,3556,3627,3717,3788,3892,3975,4060,4150,4265,4356,4463,4576,4670,4789,4899,5014,5160,5271,5403,5546,5688,5818,5943,6077,6230,6374,6515,6665,6798,6925,7067,7207,7352,7508,7705,7858,8019,8163,8336,8493,8626,8763,8948,9109,9280,9441,9631,9817,9976,10122,10286,10476,10655,10831,10995,11164,11355,11519,11728,11913,12110,12315,12511,12733,12930,13112,13313,13539,13736,13936,14122,14367,14579,14824,15056,15289,15527,15771,16033,16290,16525,16769,17037,17326,17572,17814,18080,18334,18611,18910,19167,19432,19685,19956,20224,20471,20747,21025,21267,21525,21784,22037,22300,22559,22847,23095,23372,23638,23905,24161,24438,24715,25012,25309,25615,25886,26197,26522,26845,27153,27518,27849,28164,28553,28869,29198,29559,29922,30277,30648,31023,31411,31807,32234,32663,33113,33566,33984,34397,34876,35329,35827,36308,36825,37329,37831,38328,38880,39389,39940,40468,41002,41568,42139,42696,43257,43778,44355,44917,45485,46024,46582,47193,47808,48467,49117,49772,50400,51026,51706,52337,53038,53705,54439,55116,55830,56524,57265,58003,58770,59501,60200,60879,61595,62339,63070,63879,64661,65420,66220,66966,67819,68654,69449,70271,71105,71985,72841,73696,74582,75483,76409,77307,78277,79212,80109,81060,82117,83065,84058,85091,86093,87162,88141,89182,90219,91303,92373,93435,94519,95648,96743,97928,99125,100324,101570,102805,104056,105291,106552,107866,109218,110523,111842,113246,114659,116063,117552,118949,120411,121898,123315,124715,126214,127744,129260,130861,132483,134046,135691,137342,139014,140710,142413,144150,145941,147711,149481,151254,153121,154934,156811,158691,160630,162541,164513,166535,168563,170651,172731,174859,177078,179285,181421,183673,185887,188092,190398,192784,195124,197549,199969,202512,204980,207694,210288,212986,215728,218506,221313,224223,227097,230052,233045,236213,239316,242497,245663,248924,252196,255581,259099,262555,266032,269638,273237,276944,280608,284277,287983,291859,295806,299733,303869,307864,311910,316133,320474,324880,329165,333674,338151,342763,347420,352259,356945,361984,366963,371937,376912,382063,387214,392459,397797,403195,408805,414273,419790,425526,431158,437062,442786,448664,454776,460882,467057,473308,479602,486047,492635,499434,506188,513043,520055,526993,534005,540973,548118,555559,562905,570513,578077,585867,593562,601481,609472,617685,625886,634054,642542
1,1,1,1,1,2,2,4,5,5,6,7,9,9,9,12,13,13,13,18,20,24,28,32,37,43,50,54,57,61,64,75,81,90,100,108,117,125,136,145,157,169,183,195,206,215,225,237,249,261,272,286,297,310,323,334,345,367,375,389,403,418,431,447,470,480,498,515,539,557,587,621,645,665,687,717,741,762,794,830,860,886,937,963,991,1031,1066,1088,1121,1156,1195,1223,1257,1297,1334,1376,1416,1460,1491,1530,1558,1597,1630,1665,1708,1733,1772,1802,1836,1871,1901,1939,1967,1998,2041,2063,2099,2147,2182,2212,2243,2279,2312,2352,2384,2422,2454,2486,2525,2560,2598,2640,2679,2720,2759,2810,2866,2941,2983,3038,3094,3151,3204,3263,3312,3376,3424,3500,3570,3643,3711,3791,3881,3957,4036,4134,4218,4296,4375,4459,4568,4662,4757,4867,4969,5067,5180,5285,5394,5503,5632,5738,5858,5977,6094,6225,6359,6471,6588,6717,6836,6987,7126,7243,7379,7527,7652,7774,7902,8048,8193,8350,8495,8628,8764,8915,9060,9197,9353,9511,9644,9786,9954,10078,10233,10383,10543,10693,10839,10990,11162,11330,11471,11639,11804,11985,12192,12335,12488,12658,12843,13030,13206,13392,13570,13772,13977,14165,14368,14565,14790,15006,15265,15487,15734,15974,16184,16419,16663,16913,17158,17446,17729,17988,18264,18533,18751,19042,19310,19561,19845,20165,20462,20735,21054,21300,21610,21894,22167,22460,22765,23081,23386,23711,24009,24362,24681,24995,25318,25677,26036,26410,26787,27136,27529,27906,28285,28665,29071,29466,29927,30328,30734,31179,31627,32097,32571,33055,33537,33961,34488,34954,35440,35961,36492,37010,37497,37993,38516,39036,39592,40152,40672,41229,41786,42340,42921,43450,44036,44597,45161,45736,46336,46931,47546,48139,48732,49291,49902,50498,51125,51756,52441,53072,53748,54376,55028,55687,56350,57053,57751,58459,59175,59945,60677,61458,62166,62934,63682,64459,65239,66000,66755,67551,68347,69158,69975,70771,71611,72479,73327,74179,75023,75861,76736,77605,78454,79385,80274,81222,82116,83087,84032,84988,85968,86951,87949,88985,90043,91109,92145,93113,94134,95126,96219,97310,98500,99621,100816,102044,103212,104397,105602,106850,108116,109345,110569,111902,113214,114563,115961,117348,118718,120111,121587,123013,124462,125878,127368,128884,130387,131811,133369,134860,136381,137984,139638,141236,142904,144561,146244,147858,149520,151354,153174,154984,156826,158790,160685,162566,164580,166570,168591,170727,172750,174840,177077,179421,181711,184125,186502,188856,191273,193748,196261,198754,201203,203796,206334,209008,211701,214366,217000,219711,222448,225202,227938,230867,233756,236731,239723,242696,245749,248823,251943,255135,258196,261340,264657,267934,271224,274644,278090,281656,285176,288748,292433,296144,299966,303676,307528,311370,315232,319126,323108,327294,331409,335571,339696,343870,348218,352607,356961,361503,365924,370502,375065,379647,384469,389335,394256,399175,404153,409487,414665,420055,425405
1,1,1,1,3,5,5,7,7,9,12,13,15,18,23,24,26,28,29,39,43,48,52,58,64,71,81,91,103,119,128,133,142,146,152,163,176,186,196,201,207,216,221,231,242,254,259,267,274,282,294,298,306,314,321,327,332,334,335,339,346,351,358,366,377,382,389,394,402,410,416,429,435,441,456,467,482,502,512,530,543,561,573,590,607,625,643,658,674,690,705,722,745,759,783,803,832,857,892,921,946,982,1007,1036,1067,1102,1139,1179,1224,1256,1304,1351,1389,1433,1484,1533,1582,1634,1702,1744,1790,1838,1897,1947,2007,2062,2120,2180,2244,2288,2334,2399,2453,2508,2569,2639,2694,2755,2814,2884,2952,3016,3077,3135,3185,3241,3300,3360,3418,3469,3521,3584,3647,3713,3762,3826,3886,3950,4023,4091,4167,4219,4292,4345,4413,4491,4573,4638,4717,4794,4864,4924,4992,5066,5143,5231,5304,5392,5474,5555,5641,5723,5808,5875,5947,6025,6126,6225,6307,6413,6505,6604,6681,6789,6878,6963,7062,7144,7239,7343,7461,7546,7647,7753,7868,8006,8139,8266,8404,8512,8643,8779,8885,9020,9145,9280,9449,9603,9744,9905,10079,10272,10455,10634,10804,10976,11177,11389,11584,11793,11989,12189,12399,12614,12825,13057,13252,13471,13693,13909,14124,14338,14550,14774,15003,15228,15455,15693,15930,16165,16424,16686,16924,17162,17403,17647,17917,18175,18447,18699,18930,19194,19511,19826,20116,20392,20679,20987,21281,21633,21958,22297,22643,23004,23385,23737,24103,24506,24915,25294,25674,26054,26498,26906,27360,27786,28225,28698,29154,29606,30111,30582,31056,31522,32036,32518,33024,33529,34038,34616,35151,35672,36222,36796,37371,37925,38484,39023,39600,40194,40781,41380,41961,42547,43169,43815,44441,45115,45768,46477,47136,47884,48611,49360,50096,50851,51677,52472,53270,54087,54919,55750,56601,57492,58414,59272,60166,61091,61998,62961,63830,64767,65731,66740,67694,68682,69785,70856,71923,72955,74086,75345,76565,77651,78853,80118,81261,82596,83827,85134,86484,87905,89314,90692,92030,93480,94953,96310,97766,99267,100781,102288,103793,105389,106934,108508,110117,111739,113379,114993,116694,118409,120067,121825,123557,125409,127235,129153,131030,132964,134884,136885,138897,140939,143026,145216,147394,149684,151785,153979,156192,158460,160859,163141,165519,168019,170619,173161,175685,178316,181003,183738,186517,189382,192245,195109,198052,201056,204072,207143,210294,213474,216753,220007,223297,226587,230001,233481,237008,240620,244302,248015,251791,255671,259569,263433,267467,271532,275681,279827,283954,288148,292417,296699,301063,305709,310284,314847,319388,324051,328628,333432,338315,343137,347985,353008,358039,363230,368547,373713,379183,384579,390061,395661,401269,406975,412699,418625,424516,430549,436447,442479,448593,454820,461033,467369,473912,480388,486968,493519,500206,507114,514058,521109,528055,535343,542681,550108,557645,565259,572924,580659,588465,596271,603971,612095,620293
1,1,2,3,5,7,7,9,11,11,11,11,12,15,19,20,21,21,24,26,29,30,33,35,45,49,53,62,64,68,70,75,82,90,97,105,114,124,139,144,153,162,167,174,181,184,194,201,207,213,219,224,227,233,233,236,242,244,247,252,257,263,263,267,272,276,284,289,294,297,300,302,304,310,317,330,337,343,350,362,373,379,390,403,413,425,439,453,456,463,474,486,499,510,517,524,527,539,547,560,565,577,584,593,604,618,622,631,637,642,650,657,666,673,682,688,695,701,709,716,719,723,726,731,741,749,755,757,760,764,770,774,776,778,783,793,796,801,803,803,806,810,816,820,820,822,825,829,831,833,835,839,843,848,852,855,862,867,874,882,891,898,902,910,918,925,935,951,963,972,986,998,1017,1033,1045,1062,1084,1097,1114,1127,1141,1153,1166,1189,1207,1215,1236,1256,1277,1292,1313,1330,1355,1380,1398,1430,1454,1474,1503,1539,1558,1583,1617,1638,1664,1692,1721,1756,1791,1815,1846,1871,1913,1959,1987,2021,2052,2092,2137,2184,2239,2275,2325,2381,2433,2492,2543,2573,2621,2659,2726,2799,2867,2949,3047,3120,3209,3284,3376,3454,3539,3650,3757,3868,3977,4076,4205,4312,4430,4519,4622,4718,4842,4975,5088,5205,5309,5421,5546,5670,5774,5906,6032,6140,6260,6382,6508,6615,6746,6872,7006,7122,7260,7394,7529,7651,7788,7913,8044,8172,8308,8438,8561,8704,8860,8987,9136,9258,9394,9523,9680,9820,9964,10133,10299,10462,10628,10768,10920,11115,11283,11462,11652,11812,11979,12178,12382,12559,12760,12920,13093,13297,13470,13660,13881,14072,14292,14486,14688,14851,15050,15247,15486,15691,15915,16114,16306,16544,16780,17017,17258,17503,17733,18005,18254,18509,18757,19015,19273,19521,19785,20057,20311,20585,20894,21195,21494,21765,22068,22348,22649,22971,23291,23612,23961,24277,24575,24904,25276,25620,25973,26337,26713,27081,27418,27818,28211,28625,29048,29445,29846,30310,30757,31208,31676,32130,32638,33154,33655,34202,34714,35266,35831,36399,36923,37493,38039,38623,39236,39822,40434,41058,41660,42314,42977,43597,44264,44934,45568,46264,46989,47710,48431,49200,49945,50696,51447,52298,53062,53867,54632,55468,56278,57111,57931,58770,59617,60424,61279,62150,62994,63874,64766,65679,66552,67418,68301,69159,69969,70858,71718,72643,73568,74491,75417,76309,77255,78141,79132,80065,81103,82120,83195,84233,85312,86340,87498,88646,89841,91057,92273,93468,94779,96094,97397,98753,100121,101509,102945,104437,106000,107558,109095,110692,112262,113844,115442,117126,118807,120561,122217,123859,125648,127457,129240,131139,132920,134842,136687,138672,140559,142548,144517,146530,148532,150606,152730,154839,156966,159106,161178,163325,165458,167713,170003,172258,174621
1,1,1,1,1,3,5,6,6,7,9,12,14,16,19,19,21,25,30,33,36,41,45,51,56,64,71,77,80,87,92,98,105,114,122,125,133,143,155,165,180,190,202,207,220,227,240,248,259,264,272,284,296,313,331,347,355,361,380,392,407,422,436,450,463,475,487,502,518,541,555,572,586,602,623,636,655,671,680,700,722,740,752,765,783,802,821,843,864,891,914,934,957,968,996,1024,1051,1080,1104,1130,1169,1198,1233,1273,1304,1343,1381,1418,1460,1518,1577,1637,1684,1741,1813,1865,1938,1998,2061,2132,2204,2286,2355,2434,2533,2614,2697,2760,2842,2915,2991,3051,3137,3210,3300,3369,3445,3537,3617,3690,3794,3889,3991,4080,4184,4287,4407,4519,4642,4760,4898,5018,5153,5290,5446,5598,5723,5899,6052,6186,6354,6536,6707,6894,7035,7198,7370,7540,7717,7903,8066,8208,8374,8556,8729,8887,9024,9186,9352,9492,9655,9805,9995,10183,10352,10542,10698,10879,11062,11218,11402,11581,11780,11963,12157,12331,12544,12734,12939,13168,13369,13581,13798,14010,14185,14395,14627,14848,15071,15292,15523,15775,15992,16233,16467,16681,16931,17188,17423,17697,17978,18227,18494,18784,19075,19345,19621,19914,20235,20544,20832,21155,21512,21817,22152,22516,22867,23218,23613,23989,24349,24683,25036,25414,25766,26153,26536,26953,27316,27694,28068,28512,28896,29330,29757,30218,30664,31098,31586,32024,32510,32994,33430,33904,34388,34896,35437,35980,36510,37037,37572,38132,38715,39323,39933,40557,41166,41786,42439,43091,43698,44393,45056,45725,46400,47119,47809,48553,49287,50052,50771,51608,52404,53279,54133,55043,55891,56788,57715,58678,59665,60595,61529,62511,63522,64570,65665,66724,67902,69104,70248,71384,72555,73714,74893,76098,77328,78539,79802,81070,82417,83754,85072,86470,87852,89290,90711,92201,93594,95052,96499,97990,99499,100991,102549,104104,105698,107335,108922,110578,112253,113998,115760,117550,119336,121144,123004,124895,126872,128824,130747,132846,134917,136963,139047,141192,143330,145441,147685,149963,152253,154615,156992,159418,161807,164152,166645,169055,171596,174164,176755,179384,182103,184873,187656,190440,193287,196247,199216,202192,205276,208272,211312,214433,217586,220827,224170,227426,230808,234272,237893,241411,244969,248575,252148,255862,259706,263578,267408,271283,275293,279436,283611,287709,291962,296380,300759,305091,309569,314105,318724,323356,328161,333012,337917,342745,347696,352658,357778,362922,368166,373582,379164,384605,390201,395824,401565,407339,413259,419380,425434,431581,437757,443958,450507,456844,463460,470064,476732,483541,490432,497414,504342,511553,518745,526071,533539,540996,548730,556607,564463,572515,580548,588715,596965,605110,613625,622177,630972,639739,648546,657678,666902,676047,685333,695000,704603,714391,724230,734174,744252,754427,764782,775247,786094,796980,807793,818928,830135,841635,853124,864912,876592,888483,900507,913018,925178,937652,950403,963414,975908,988905,1002096,1015297,1028756,1042527,1056250
1,1,1,4,7,8,9,10,13,16,18,21,24,30,33,40,47,50,55,58,66,71,74,81,91,104,109,119,124,129,138,142,151,162,168,182,188,197,208,217,229,238,240,245,250,258,265,271,279,291,299,311,321,328,342,349,355,372,378,383,395,410,430,438,453,467,480,492,501,508,517,530,538,544,552,559,565,576,586,594,606,621,626,634,646,661,674,687,702,723,742,764,789,817,835,855,879,913,954,990,1025,1067,1101,1140,1180,1222,1267,1316,1359,1407,1446,1489,1527,1560,1589,1639,1682,1725,1764,1810,1852,1893,1934,1985,2034,2073,2128,2170,2222,2273,2318,2357,2413,2456,2508,2580,2632,2695,2747,2798,2848,2920,3000,3067,3118,3178,3243,3308,3374,3435,3513,3574,3630,3707,3760,3839,3920,3982,4054,4133,4208,4272,4337,4396,4459,4532,4595,4668,4742,4815,4901,4979,5051,5131,5213,5276,5340,5424,5490,5570,5640,5721,5805,5892,5958,6025,6101,6178,6233,6312,6395,6475,6550,6641,6728,6821,6917,7011,7101,7200,7295,7377,7480,7593,7686,7786,7891,7995,8113,8230,8375,8494,8608,8701,8821,8951,9078,9221,9334,9454,9581,9682,9804,9918,10052,10166,10287,10408,10502,10610,10727,10867,10997,11132,11264,11392,11531,11675,11810,11951,12086,12204,12323,12461,12613,12747,12909,13054,13203,13375,13524,13675,13826,13969,14129,14289,14451,14597,14743,14906,15050,15194,15348,15507,15685,15854,15993,16145,16313,16470,16627,16790,16977,17120,17271,17480,17672,17831,18042,18230,18399,18585,18791,19007,19215,19390,19586,19801,20031,20254,20454,20692,20919,21168,21412,21671,21933,22156,22428,22691,22963,23235,23518,23830,24139,24438,24750,25104,25438,25785,26123,26500,26852,27238,27609,27995,28415,28847,29249,29695,30134,30613,31085,31557,31999,32500,33024,33521,34025,34584,35168,35743,36325,36904,37503,38121,38804,39473,40102,40800,41476,42159,42795,43498,44153,44858,45606,46361,47047,47757,48533,49322,50059,50867,51649,52415,53233,54049,54892,55748,56675,57599,58475,59420,60281,61241,62190,63099,64082,65110,66205,67270,68304,69321,70378,71527,72682,73854,74975,76084,77258,78487,79733,80931,82228,83479,84745,85995,87291,88645,90014,91340,92754,94045,95418,96817,98260,99727,101122,102644,104105,105617,107084,108612,110106,111624,113211,114831,116516,118104,119789,121485,123160,124744,126456,128278,130039,131840,133694,135523,137426,139318,141241,143237,145227,147234,149427,151496,153663,155853,158064,160252,162507,164881,167223,169516,171990,174588,177173,179760,182407,185019,187688,190370,193123,195946,198724,201571,204545,207515,210509,213642,216683,219814,222952,226254,229565,232872,236282,239821,243531,247117,250734,254507,258301,262086,265978,269950,273930,278016,282246,286469,290630,294971,299435,303819,308394,312960,317722,322373,327087,331795,336699,341705,346638,351750,356822,362085,367420,372798,378265,383714,389274,394975,400699,406455,412328
1,1,2,3,3,5,9,13,18,22,27,32,39,42,46,46,47,53,57,68,72,83,88,100,109,117,128,133,146,156,164,176,182,194,203,210,219,230,241,246,251,258,263,268,272,280,292,306,320,337,346,353,364,384,403,418,437,461,506,540,566,591,628,671,705,745,795,835,889,934,973,1022,1079,1139,1197,1252,1308,1360,1433,1503,1581,1659,1719,1803,1869,1946,2017,2076,2167,2248,2321,2384,2456,2512,2601,2676,2745,2821,2900,2984,3058,3130,3197,3271,3331,3393,3455,3527,3603,3689,3751,3813,3885,3953,4038,4113,4218,4313,4405,4507,4602,4692,4768,4883,4979,5076,5170,5259,5358,5472,5584,5679,5776,5883,5967,6095,6203,6312,6440,6563,6681,6793,6944,7043,7166,7284,7426,7549,7676,7820,7947,8093,8230,8349,8491,8610,8720,8865,8986,9134,9277,9404,9533,9679,9809,9954,10074,10218,10330,10459,10589,10756,10911,11091,11244,11395,11546,11713,11890,12044,12207,12362,12529,12683,12841,13005,13154,13328,13505,13678,13836,14035,14209,14394,14573,14764,14962,15170,15384,15604,15793,15998,16179,16411,16581,16784,17007,17211,17431,17652,17900,18128,18365,18619,18866,19128,19373,19650,19923,20219,20519,20820,21105,21398,21724,22038,22352,22707,23010,23323,23626,23944,24306,24607,24937,25268,25621,25949,26304,26699,27066,27404,27792,28171,28545,28925,29318,29715,30114,30530,30973,31419,31880,32338,32834,33331,33824,34316,34833,35332,35858,36458,36985,37563,38146,38723,39323,40022,40661,41375,42067,42801,43566,44292,45038,45870,46661,47524,48350,49215,50085,51011,51911,52855,53830,54827,55852,56833,57890,58950,60012,61101,62280,63426,64611,65908,67118,68354,69626,70934,72299,73617,74963,76352,77740,79214,80629,82127,83584,85136,86687,88263,89844,91548,93217,94900,96603,98241,99925,101645,103505,105256,107013,108882,110775,112690,114565,116526,118558,120620,122663,124680,126903,129107,131317,133510,135747,138030,140418,142729,145105,147576,150045,152559,155154,157840,160414,163044,165701,168425,171125,173985,176661,179398,182171,185016,187886,190737,193723,196651,199682,202683,205799,208907,212160,215345,218597,222006,225305,228646,232155,235586,239030,242651,246263,249828,253507,257279,261042,264879,268793,272703,276781,280853,285031,289014,293223,297492,301749,306011,310465,314970,319494,324080,328762,333452,338232,343096,347943,352836,358048,363282,368563,373906,379198,384547,390075,395774,401481,407343,413062,418919,424879,430914,436992,443167,449394,455839,462251,468861,475332,481954,488705,495596,502485,509374,516477,523698,531041,538477,545867,553564,561237,569012,577026,585052,593099,601435,609714,618168,626748,635427,644167,653112,662218,671420,680712,690115,699649,709327,719100,728970,738758,748794,758923,769242,779722,790234,801022,811800,822659,833791,845008,856377,867807,879452,891175,903097,915207,927364,939515,951722,964302,977190,990205,1003313,1016471,1029609,1043111,1056774,1070639,1084269,1098167,1112169,1126440,1141072,1155599,1170420,1185435,1200505,1215784,1231445,1247099,1262778,1278919,1295034,1311036
1,1,1,1,2,4,6,10,11,13,14,16,19,22,28,38,42,47,52,59,67,79,90,100,112,124,132,141,150,159,165,172,178,187,195,206,213,225,235,239,246,252,265,277,286,291,300,308,310,317,334,349,367,376,397,408,418,429,433,442,452,463,483,500,510,516,529,541,550,567,582,603,621,646,673,698,717,746,781,803,841,882,922,958,998,1029,1063,1112,1156,1201,1253,1318,1368,1427,1471,1541,1599,1658,1716,1774,1828,1893,1952,2001,2053,2119,2178,2231,2293,2342,2400,2459,2516,2581,2636,2696,2754,2802,2875,2947,3012,3077,3153,3224,3299,3369,3446,3518,3584,3670,3769,3837,3909,3985,4061,4139,4215,4287,4383,4474,4543,4638,4735,4829,4924,5014,5110,5204,5290,5379,5472,5566,5681,5778,5886,5991,6098,6214,6329,6433,6542,6659,6768,6884,7001,7114,7221,7354,7475,7596,7714,7830,7951,8071,8184,8309,8456,8584,8725,8874,9018,9187,9345,9530,9720,9868,10029,10212,10386,10557,10754,10936,11117,11296,11478,11680,11873,12055,12236,12449,12660,12849,13063,13272,13477,13693,13909,14119,14325,14518,14741,14973,15216,15421,15647,15894,16142,16386,16624,16860,17098,17321,17532,17795,18061,18325,18603,18886,19143,19411,19708,20017,20301,20588,20887,21191,21512,21795,22105,22441,22803,23142,23511,23839,24192,24575,24933,25272,25633,26004,26385,26749,27153,27568,27965,28336,28739,29131,29519,29949,30388,30813,31179,31625,32086,32509,32983,33471,33928,34391,34908,35390,35874,36426,36920,37441,37967,38485,39017,39534,40105,40683,41247,41816,42377,42973,43551,44157,44770,45386,46073,46714,47377,48062,48756,49421,50099,50775,51419,52118,52844,53616,54351,55152,55952,56696,57470,58284,59063,59865,60672,61515,62320,63180,64049,64910,65860,66793,67766,68710,69658,70630,71661,72682,73710,74763,75821,76882,77997,79090,80199,81370,82547,83722,84977,86218,87522,88749,90093,91392,92703,94054,95478,96875,98320,99710,101193,102662,104115,105612,107179,108717,110284,111905,113516,115148,116810,118481,120120,121835,123613,125440,127176,128998,130844,132741,134629,136521,138525,140569,142584,144671,146744,148912,151011,153204,155321,157565,159816,161969,164292,166633,169025,171439,173831,176272,178736,181192,183714,186170,188738,191336,193905,196593,199335,202073,204862,207641,210428,213316,216146,219072,222148,225173,228372,231435,234562,237771,241003,244317,247593,250967,254431,257905,261341,264829,268332,271908,275595,279442,283151,287033,290932,294850,298726,302736,306789,310951,315141,319367,323769,328219,332662,337183,341897,346512,351343,356152,361034,366025,371091,376184,381441,386776,392152,397562,403109,408639,414232,419957,425768,431735,437728,443847,450154,456413,462768,469229,475730,482419,489086,495895,502611,509628,516717,523792,530968,538210,545462,552911,560582,568023,575658,583443,591335,599393,607359,615322,623509,631884,640271,648911,657563,666232,675026,683983,693052,702253,711277,720873,730531,740217,749999,759769,769677,779978,790174
1,1,1,1,1,6,6,10,10,11,11,12,15,18,25,28,29,32,37,41,43,47,52,55,58,62,72,79,87,90,100,106,109,114,120,130,144,153,163,171,181,185,192,197,200,206,210,216,222,226,232,236,240,244,248,253,256,260,262,266,268,272,282,290,295,296,299,301,304,305,305,305,305,305,306,308,309,311,311,312,312,313,313,313,314,314,316,319,321,323,328,335,337,339,342,343,343,348,355,357,363,371,377,386,391,400,411,428,444,462,480,491,507,525,550,565,577,592,606,619,640,661,681,704,725,750,769,790,813,830,852,871,889,918,936,963,986,1006,1035,1053,1072,1092,1120,1154,1179,1201,1224,1254,1283,1311,1341,1379,1414,1457,1505,1538,1580,1606,1646,1697,1747,1793,1845,1877,1921,1958,1994,2027,2067,2108,2150,2194,2232,2274,2311,2363,2395,2446,2493,2540,2573,2612,2652,2694,2734,2766,2807,2852,2884,2940,2978,3015,3055,3091,3127,3161,3205,3237,3278,3323,3355,3388,3428,3465,3489,3521,3549,3580,3612,3642,3689,3723,3762,3802,3831,3878,3922,3953,4000,4037,4089,4133,4175,4212,4262,4301,4348,4388,4431,4476,4512,4558,4598,4639,4669,4705,4748,4788,4825,4855,4880,4915,4952,4988,5028,5060,5092,5149,5193,5225,5260,5295,5332,5364,5403,5437,5480,5518,5567,5617,5667,5731,5783,5843,5893,5961,6030,6089,6164,6225,6297,6376,6443,6523,6607,6688,6779,6858,6945,7028,7108,7204,7308,7409,7516,7613,7732,7834,7939,8061,8176,8305,8423,8552,8693,8828,8950,9088,9233,9361,9494,9618,9743,9879,10012,10142,10270,10419,10549,10682,10790,10918,11044,11187,11310,11448,11563,11673,11797,11924,12037,12150,12280,12396,12513,12639,12758,12864,12992,13117,13249,13373,13494,13630,13772,13912,14040,14187,14317,14464,14596,14730,14867,15012,15155,15299,15463,15607,15790,15943,16105,16276,16428,16607,16760,16956,17141,17327,17502,17664,17851,18022,18223,18421,18633,18826,19013,19211,19419,19603,19822,20005,20230,20404,20597,20799,21019,21238,21460,21673,21888,22108,22334,22543,22776,23022,23228,23458,23661,23887,24136,24368,24587,24835,25073,25289,25524,25771,26003,26214,26512,26774,27018,27240,27488,27726,27997,28273,28537,28781,29059,29348,29601,29865,30146,30438,30746,31027,31297,31607,31920,32240,32573,32906,33242,33606,33956,34352,34712,35061,35397,35771,36189,36564,36961,37363,37765,38202,38626,39047,39538,40025,40486,40978,41454,41964,42517,43079,43600,44165,44705,45277,45866,46442,47005,47571,48143,48716,49377,49994,50637,51253,51913,52553,53187,53805,54489,55111,55746,56393,57044,57668,58318,58980,59658,60304,60990,61692,62307,63018,63725,64465,65154,65892,66654,67388,68172,68879,69635,70416,71272,72134,72951,73804,74686,75568,76454
1,1,1,1,1,2,3,4,7,7,8,10,10,11,12,14,23,26,28,33,38,43,45,49,54,60,66,73,78,86,94,100,108,118,123,134,146,157,168,180,196,215,225,238,251,270,277,295,301,310,324,338,354,363,374,382,398,409,419,432,447,459,471,489,501,514,521,545,558,573,593,608,622,635,649,661,679,703,728,750,766,791,813,833,853,884,906,937,954,981,1000,1026,1050,1074,1087,1115,1145,1169,1193,1225,1241,1272,1303,1332,1359,1383,1416,1451,1478,1500,1535,1563,1614,1652,1685,1727,1769,1804,1844,1888,1938,1997,2066,2127,2203,2258,2329,2403,2492,2573,2644,2712,2799,2871,2953,3033,3109,3190,3262,3346,3419,3504,3562,3629,3711,3774,3852,3930,3993,4083,4181,4278,4362,4454,4560,4639,4735,4819,4925,5034,5136,5238,5351,5459,5568,5657,5757,5861,5980,6113,6254,6362,6504,6629,6747,6899,7025,7161,7301,7447,7596,7744,7900,8037,8200,8332,8485,8643,8806,8969,9136,9302,9498,9682,9882,10034,10239,10461,10653,10850,11075,11277,11484,11719,11964,12207,12455,12691,12958,13203,13469,13748,13977,14233,14492,14749,15036,15320,15600,15909,16213,16485,16792,17085,17356,17683,17992,18309,18645,18954,19283,19655,20017,20352,20753,21119,21507,21864,22235,22585,22977,23378,23723,24132,24576,24990,25337,25762,26161,26571,26989,27430,27874,28274,28695,29108,29534,30000,30467,30972,31431,31879,32337,32797,33272,33783,34288,34817,35366,35931,36523,37121,37713,38306,38919,39548,40187,40821,41440,42141,42821,43558,44265,44978,45661,46355,47081,47829,48563,49287,50011,50752,51453,52184,52971,53733,54517,55271,56087,56873,57631,58382,59228,60067,60959,61829,62706,63593,64492,65349,66263,67200,68176,69108,70114,71066,72010,73015,74093,75130,76205,77321,78438,79495,80581,81762,82932,84151,85389,86655,87935,89214,90486,91776,93072,94406,95660,97029,98398,99776,101155,102577,104089,105611,107172,108698,110268,111908,113605,115190,116801,118459,120183,121895,123615,125408,127206,129044,130955,132877,134816,136839,138836,140896,142920,144955,147050,149209,151376,153665,155868,158127,160439,162734,165055,167371,169814,172200,174641,177224,179718,182230,184900,187508,190244,192917,195668,198329,201043,204020,206950,209893,212852,216019,219060,222139,225251,228464,231737,234926,238213,241559,244914,248341,251710,255346,258887,262462,266107,269904,273587,277394,281209,285071,289005,292926,296841,300939,305068,309297,313550,317831,322273,326756,331230,335799,340353,344913,349698,354632,359571,364500,369670,374843,380006,385101,390442,395789,401285,406875,412675,418571,424397,430275,436281,442235,448170,454339,460609,466841,473252,479784,486362,492956,499829,506603,513532,520533,527570,534666,542129,549562,557089,564714,572533,580493,588294,596369,604329,612476,620818,629254,637822,646602,655357,664050,672787,681766,690903,700252,709458,718904,728299,737795,747565,757401,767322,777385,787527,797739,808112,818741,829491,840248,851103,862103,873381
1,1,1,1,1,3,3,7,11,15,17,18,19,23,28,35,38,47,53,65,79,92,103,112,117,127,134,148,158,169,171,179,185,199,214,227,231,238,246,253,270,279,296,317,328,338,348,359,381,392,410,424,437,450,465,480,492,513,539,557,574,590,606,627,643,665,683,701,725,746,758,773,797,821,848,869,902,928,952,967,993,1020,1042,1066,1089,1109,1125,1149,1172,1198,1225,1253,1280,1311,1346,1373,1401,1425,1445,1472,1499,1529,1550,1570,1594,1622,1649,1670,1700,1727,1752,1778,1799,1819,1846,1875,1900,1918,1955,1970,1988,2015,2043,2068,2097,2126,2158,2183,2224,2257,2298,2330,2355,2386,2424,2461,2492,2529,2575,2618,2662,2724,2779,2832,2879,2932,2975,3025,3078,3131,3177,3237,3284,3334,3385,3431,3485,3534,3582,3646,3691,3744,3805,3869,3934,3997,4058,4112,4195,4262,4336,4411,4477,4539,4607,4673,4734,4782,4846,4911,4984,5053,5128,5198,5273,5351,5429,5505,5586,5665,5732,5804,5883,5979,6055,6124,6203,6289,6379,6479,6581,6681,6782,6900,6998,7103,7213,7311,7440,7535,7658,7776,7883,8011,8133,8256,8387,8499,8644,8777,8918,9053,9194,9343,9489,9670,9833,9988,10168,10339,10535,10721,10914,11115,11336,11518,11722,11937,12163,12401,12609,12833,13046,13239,13458,13702,13964,14233,14484,14733,14987,15256,15534,15757,16017,16272,16532,16813,17096,17374,17682,17971,18249,18517,18783,19074,19351,19675,20007,20308,20625,20987,21340,21706,22041,22378,22738,23078,23423,23796,24193,24579,25026,25438,25828,26237,26672,27111,27563,27978,28435,28897,29347,29789,30287,30771,31214,31688,32153,32650,33073,33577,34042,34518,35060,35555,36109,36679,37210,37781,38311,38879,39402,39983,40540,41119,41746,42387,43027,43671,44258,44873,45537,46217,46928,47608,48299,48981,49662,50350,51069,51775,52515,53239,53979,54736,55489,56245,57047,57850,58705,59512,60349,61172,62036,62895,63741,64606,65520,66461,67386,68298,69253,70211,71215,72261,73270,74295,75289,76384,77468,78625,79750,80935,82044,83248,84447,85636,86913,88199,89440,90791,92077,93425,94701,96009,97315,98718,100124,101560,103092,104651,106207,107750,109334,110919,112532,114179,115820,117462,119138,120859,122603,124396,126205,128066,129958,131860,133843,135772,137743,139703,141750,143831,145883,148022,150205,152449,154598,156948,159252,161505,163956,166365,168891,171474,174023,176684,179377,182142,184877,187690,190497,193448,196482,199511,202508,205588,208697,211885,215097,218414,221778,225071,228489,231876,235332,238923,242612,246369,250015,253722,257460,261343,265263,269180,273083,277030,281127,285305,289474,293798,298119,302454,306834,311405,315915,320448,325140,329865,334721,339630,344584,349679,354825,360075,365456,370713,376052,381447,386886,392494,398239,404090,409996,416007,421989,428064,434235,440391,446675,453104,459565,466103,472721,479487,486256,493244,500240,507348,514478,521767,529093,536642,544083,551547,559368
1,1,1,1,1,1,2,3,5,7,7,11,12,16,22,24,24,30,40,47,58,66,68,76,83,89,102,111,119,133,141,150,165,172,185,199,209,224,231,244,256,270,283,300,314,328,344,361,371,385,406,421,441,463,480,492,512,529,549,559,582,599,621,642,660,691,705,734,750,771,798,828,853,876,914,946,976,1013,1040,1080,1128,1166,1206,1252,1290,1342,1399,1452,1508,1560,1605,1660,1717,1774,1833,1901,1956,2020,2095,2171,2239,2329,2419,2491,2553,2635,2722,2805,2916,2997,3067,3130,3207,3293,3365,3461,3548,3635,3732,3844,3934,4028,4115,4196,4279,4389,4490,4588,4686,4830,4951,5076,5213,5346,5476,5616,5786,5941,6075,6232,6397,6554,6712,6886,7043,7208,7389,7574,7776,7955,8138,8343,8551,8745,8965,9186,9401,9635,9876,10135,10377,10624,10898,11170,11443,11727,11982,12266,12545,12844,13153,13478,13780,14106,14427,14755,15069,15357,15681,16015,16337,16691,17059,17423,17811,18183,18551,18923,19308,19676,20100,20518,20909,21324,21777,22221,22676,23125,23600,24047,24487,24948,25471,25932,26441,26962,27458,27976,28447,28958,29419,29903,30373,30834,31371,31883,32416,32935,33482,34034,34610,35206,35789,36378,36936,37514,38151,38751,39388,40035,40650,41306,42004,42728,43445,44212,44989,45779,46626,47399,48193,48992,49810,50675,51518,52415,53259,54164,55057,56025,56902,57795,58729,59674,60660,61644,62695,63712,64763,65796,66891,67932,69003,70181,71328,72516,73691,74892,76115,77312,78537,79808,81113,82448,83838,85208,86584,87993,89397,90851,92321,93807,95298,96799,98365,99964,101709,103347,105057,106737,108494,110227,111938,113746,115573,117441,119390,121398,123493,125533,127595,129668,131706,133873,135994,138221,140486,142760,145075,147423,149810,152184,154582,157099,159657,162219,164827,167391,170128,172867,175720,178520,181441,184386,187225,190158,193177,196268,199254,202307,205534,208736,212089,215368,218700,222107,225568,229016,232528,236164,239752,243341,247024,250703,254511,258377,262369,266376,270478,274583,278760,282964,287206,291463,295739,300238,304794,309532,314259,319071,323960,328773,333786,338767,344050,349344,354634,359917,365298,370673,376163,381801,387509,393332,399026,404990,410804,416736,422773,428878,435050,441331,447579,453959,460432,466912,473373,479943,486499,493197,499943,506797,513710,520681,527739,534923,542277,549650,557215,564721,572451,580113,588074,595933,603967,612201,620497,628709,637310,645857,654648,663657,672664,681609,690804,700020,709311,718722,728271,738107,747921,757986,767927,778071,788451,798751,809366,820108,831004,841860,852780,863835,875267,886595,898250,910014,921980,933864,945943,958322,970787,983607,996527,1009404,1022282,1035406,1048526,1061980,1075809,1089802,1103619,1117921,1132165,1146827,1161720,1176552,1191954,1207402,1223050,1238716,1254666,1270884,1287180,1303658,1320322,1337232,1354177,1371418,1388711,1406383,1424091,1442269,1460493,1478748,1496999,1515575,1534183,1553020,1572105,1591401,1611035,1630525,1650587,1670767,1690778,1711044,1731602,1752554,1773452,1794366,1815681,1837005,1858888,1881141,1903375,1925610,1948154
1,1,1,3,6,10,11,12,15,18,19,21,25,27,33,37,40,46,52,56,64,76,83,90,103,108,125,142,157,168,183,196,210,219,239,255,270,286,299,315,334,356,377,395,414,430,445,461,478,500,522,536,564,579,591,609,636,664,694,717,743,770,792,834,864,887,913,937,969,993,1019,1059,1095,1131,1170,1209,1239,1297,1341,1384,1428,1468,1507,1558,1605,1640,1703,1753,1786,1835,1879,1941,2009,2070,2126,2176,2230,2277,2329,2384,2441,2489,2542,2584,2639,2682,2735,2787,2846,2894,2949,3001,3051,3105,3160,3217,3271,3336,3385,3449,3500,3559,3621,3683,3740,3807,3867,3938,4003,4076,4134,4202,4277,4340,4408,4465,4522,4595,4652,4724,4793,4862,4920,4974,5032,5088,5136,5189,5246,5305,5363,5422,5495,5563,5636,5697,5771,5830,5906,5974,6052,6121,6228,6291,6352,6435,6515,6590,6663,6739,6814,6883,6955,7023,7112,7185,7277,7389,7486,7572,7681,7789,7894,7979,8091,8206,8313,8428,8527,8646,8756,8879,9006,9128,9245,9358,9478,9595,9729,9849,9970,10094,10195,10300,10411,10524,10642,10746,10861,10968,11082,11200,11351,11494,11621,11754,11899,12051,12198,12316,12446,12576,12705,12852,13027,13164,13331,13479,13621,13792,13959,14119,14306,14478,14669,14850,15066,15251,15455,15625,15802,15993,16198,16384,16563,16738,16923,17131,17352,17555,17796,18031,18267,18464,18696,18915,19174,19419,19639,19864,20127,20375,20673,20924,21245,21524,21834,22130,22439,22733,23059,23391,23741,24114,24493,24854,25193,25534,25936,26333,26754,27174,27589,28001,28430,28866,29324,29749,30209,30659,31100,31553,32036,32487,32940,33465,33959,34454,35002,35539,36099,36659,37214,37809,38408,39056,39650,40298,40889,41477,42129,42810,43567,44260,44989,45733,46452,47221,47970,48738,49525,50270,51057,51882,52708,53488,54336,55183,55991,56804,57678,58579,59407,60319,61191,62051,62998,63911,64864,65807,66789,67815,68772,69725,70741,71796,72881,73947,75044,76122,77280,78432,79605,80773,81947,83184,84410,85667,86932,88197,89598,90931,92247,93618,95014,96408,97944,99408,100862,102316,103936,105421,107031,108719,110361,111991,113711,115431,117185,119039,120744,122640,124517,126390,128284,130197,132263,134291,136294,138388,140504,142583,144725,146888,149187,151558,153805,156180,158506,160941,163378,165872,168386,170873,173434,175922,178512,181057,183775,186461,189128,191924,194708,197527,200311,203151,206131,209115,212133,215261,218396,221471,224641,227891,231110,234426,237873,241509,245041,248542,252063,255845,259583,263371,267268,271340,275275,279143,283191,287269,291429,295591,299851,304332,308742,313278,317618,322144,326804,331537,336265,341123,346019,350947,355947,361093,366344,371652,376845,382172,387852,393430,399023,404801,410681,416561,422617,428766,435036,441230,447605,453989,460559,466963,473516,480224,487048,493635,500526,507489,514672,521707,529082,536514,543926,551442,558957,566531,574314,582138,590078,598040,606076,614352,622721,631093,639543
1,1,1,1,1,1,2,6,6,7,9,12,12,15,21,29,36,42,45,51,55,59,66,75,79,88,99,117,125,132,141,148,156,162,172,179,192,200,206,215,221,233,244,249,252,259,268,280,289,295,303,315,319,328,336,351,361,372,379,390,400,411,427,439,453,469,493,513,524,541,552,571,597,615,639,657,670,695,720,743,769,794,811,833,856,874,895,927,943,966,985,1004,1031,1062,1082,1105,1133,1164,1211,1226,1256,1288,1321,1357,1393,1426,1457,1485,1520,1549,1582,1614,1652,1683,1721,1765,1799,1840,1883,1916,1948,1990,2023,2061,2095,2129,2161,2213,2261,2301,2357,2412,2459,2512,2558,2608,2658,2710,2768,2831,2893,2944,2997,3053,3102,3173,3231,3297,3358,3420,3488,3558,3615,3703,3766,3828,3902,3971,4037,4096,4177,4261,4342,4399,4464,4544,4611,4671,4738,4812,4874,4952,5022,5090,5167,5234,5312,5386,5472,5545,5638,5735,5828,5942,6018,6101,6216,6309,6411,6516,6633,6767,6879,6985,7109,7220,7331,7450,7568,7682,7814,7935,8056,8205,8336,8491,8605,8771,8940,9094,9245,9425,9618,9786,9975,10178,10362,10538,10702,10894,11101,11321,11532,11749,11969,12188,12419,12655,12912,13116,13377,13604,13823,14087,14378,14647,14922,15230,15497,15799,16091,16396,16677,17025,17374,17691,17999,18328,18667,19005,19331,19683,20006,20372,20724,21064,21367,21723,22082,22416,22759,23135,23496,23842,24241,24629,25014,25374,25750,26156,26546,26968,27403,27830,28256,28669,29131,29603,30089,30572,31054,31533,32043,32568,33101,33629,34195,34740,35277,35864,36462,37048,37653,38277,38922,39526,40179,40826,41476,42135,42816,43502,44227,44936,45695,46493,47302,48080,48887,49693,50490,51328,52191,53047,53938,54852,55753,56679,57609,58547,59516,60545,61612,62721,63770,64838,65893,67041,68171,69323,70455,71652,72865,74035,75364,76598,77874,79170,80497,81872,83297,84721,86168,87625,89054,90552,92008,93542,95106,96677,98211,99876,101532,103272,105062,106887,108702,110608,112523,114406,116472,118461,120555,122675,124772,126881,129070,131248,133528,135896,138235,140643,143091,145469,147931,150394,152908,155424,158029,160631,163475,166205,169087,171876,174635,177511,180521,183492,186575,189678,192732,195867,199071,202311,205722,209134,212606,216158,219608,223086,226664,230350,234023,237800,241637,245522,249476,253431,257407,261507,265668,269836,274185,278479,282934,287328,291780,296387,301058,305807,310645,315550,320571,325565,330658,335860,341048,346289,351574,356973,362338,367831,373268,379063,384649,390315,395998,401922,407743,413791,419929,426130,432325,438718,444956,451339,457852,464459,471216,477983,484851,491702,498749,505716,512905,520099,527456,534783,542318,549974,557594,565421,573457,581476,589523,597637,605989,614422,623075,631758,640418,649235,658140,667049,676068,685330,694679,704163,713710,723272,732822,742703,752730,762847,772847,783135,793461,804155,815029,825841,836843,847924,859208,870818,882586,894563,906678
1,1,1,1,1,4,5,5,5,7,9,14,22,25,31,37,40,43,53,58,68,84,89,101,115,134,148,161,176,192,210,232,257,269,292,324,342,374,397,420,445,471,500,535,578,628,667,714,749,777,816,859,907,940,976,1009,1051,1090,1130,1162,1201,1247,1278,1323,1369,1409,1448,1485,1520,1566,1603,1648,1683,1734,1781,1836,1897,1946,1990,2066,2133,2195,2251,2310,2374,2432,2500,2568,2644,2722,2793,2880,2957,3039,3098,3186,3265,3335,3430,3521,3618,3720,3807,3910,4006,4110,4217,4335,4417,4498,4603,4736,4857,4971,5108,5211,5333,5446,5567,5684,5820,5942,6066,6179,6337,6465,6594,6712,6827,6987,7152,7338,7497,7667,7834,8007,8196,8390,8568,8766,8949,9124,9303,9476,9667,9864,10062,10249,10457,10656,10882,11097,11312,11515,11706,11903,12110,12362,12586,12794,13015,13258,13499,13741,13960,14158,14393,14628,14853,15079,15340,15564,15804,16064,16308,16575,16811,17053,17296,17592,17875,18160,18462,18811,19096,19416,19742,20061,20431,20786,21108,21468,21851,22218,22601,22975,23380,23757,24161,24552,24917,25271,25680,26072,26479,26850,27231,27628,28059,28481,28885,29312,29694,30124,30555,30995,31406,31831,32218,32632,33056,33499,33942,34374,34836,35258,35683,36149,36613,37128,37604,38111,38585,39049,39530,40015,40496,40985,41538,42039,42551,43076,43621,44128,44658,45226,45748,46297,46854,47424,48002,48591,49209,49821,50438,51025,51636,52265,52902,53519,54152,54839,55467,56121,56831,57485,58164,58904,59678,60480,61219,61966,62696,63512,64299,65121,65915,66730,67519,68408,69305,70259,71185,72062,72997,73951,74867,75789,76678,77671,78622,79685,80735,81815,82850,83899,84989,86057,87204,88340,89414,90546,91650,92778,93882,95054,96204,97422,98570,99783,101012,102271,103503,104759,106038,107264,108544,109828,111159,112457,113840,115215,116656,118030,119470,120940,122357,123839,125347,126922,128486,130113,131688,133283,134945,136552,138232,139936,141657,143423,145287,147115,148884,150756,152652,154647,156607,158585,160585,162551,164633,166671,168748,170839,172988,175108,177428,179617,181924,184216,186423,188695,190896,193224,195607,198021,200392,202844,205359,207951,210591,213186,215806,218439,221173,223904,226716,229506,232348,235241,238140,241145,244094,247145,250264,253400,256509,259753,262928,266202,269526,273040,276472,279986,283507,287150,290733,294426,298250,302060,305978,310051,314170,318298,322378,326605,330908,335267,339598,344007,348361,352883,357462,362088,366758,371498,376207,381042,385729,390770,395842,400920,405893,411173,416451,421720,427015,432431,437734,443212,448750,454466,460137,465941,471881,477830,483778,489792,495930,502269,508614,514916,521271,527829,534433,541077,547725,554468,561245,568242,575445,582617,589879,597240,604611,612001,619485,627052,634946,642778,650788,658755,666849,675137,683703,692257,700952,709651,718741,727666,736791,745844,755069,764361,773919,783471,793127,802799,812628,822777,832909,843152,853609,864191,874964,885705,896768,907849,919085,930544,942036,953755,965505,977369,989484,1001732,1014045
1,1,2,2,3,6,9,10,12,15,18,23,27,30,36,37,40,45,48,58,65,70,82,91,101,111,123,136,144,156,167,174,184,195,203,213,229,238,246,254,265,275,291,302,313,327,350,369,382,404,424,449,471,495,521,562,596,625,658,687,717,754,810,855,907,943,976,1013,1042,1085,1126,1163,1201,1240,1271,1302,1337,1369,1414,1458,1491,1540,1581,1625,1671,1718,1761,1803,1857,1899,1930,1964,2017,2066,2125,2160,2213,2263,2317,2367,2429,2485,2541,2594,2665,2732,2800,2875,2970,3057,3131,3208,3283,3360,3435,3519,3606,3699,3787,3868,3968,4074,4168,4270,4369,4476,4565,4670,4785,4907,5025,5124,5217,5345,5477,5605,5728,5853,5981,6110,6255,6409,6551,6686,6864,7013,7153,7315,7481,7642,7828,8013,8169,8375,8599,8796,8970,9191,9415,9607,9828,10025,10241,10467,10693,10920,11129,11345,11579,11805,12039,12251,12481,12710,12963,13203,13450,13683,13942,14235,14495,14776,15049,15321,15583,15900,16173,16473,16783,17078,17408,17718,18027,18380,18717,19055,19402,19777,20148,20501,20883,21294,21721,22129,22585,23075,23524,23982,24422,24887,25355,25787,26247,26691,27123,27589,28055,28503,29011,29484,29923,30376,30860,31353,31887,32391,32884,33424,33901,34383,34882,35427,35966,36470,36977,37469,38003,38550,39118,39734,40319,40932,41523,42130,42787,43438,44139,44935,45676,46488,47203,47949,48728,49560,50324,51158,51982,52870,53730,54636,55504,56397,57325,58251,59179,60138,61149,62123,63051,64051,65088,66139,67198,68269,69400,70422,71486,72601,73672,74812,75944,77099,78352,79565,80831,82136,83453,84739,86159,87564,88930,90367,91707,93085,94532,96024,97558,99095,100682,102308,103952,105475,107154,108768,110350,111990,113613,115310,117046,118721,120435,122254,124053,125935,127766,129624,131407,133321,135245,137239,139251,141184,143203,145257,147342,149485,151666,153836,156094,158366,160636,162992,165266,167617,170013,172393,174880,177296,179820,182401,184951,187479,190126,192794,195515,198396,201182,204070,207031,209998,212943,215965,219095,222193,225313,228646,231939,235236,238656,242100,245601,249224,252791,256407,260082,263798,267511,271450,275424,279327,283509,287574,291813,295988,300154,304642,309123,313679,318325,322846,327552,332249,336931,341698,346580,351606,356557,361515,366754,372158,377559,382953,388445,394023,399662,405275,411061,416999,422884,428866,435037,441165,447442,453870,460424,466960,473499,480347,487221,494138,501123,508172,515293,522377,529566,537070,544511,552029,559725,567333,575230,583178,591295,599305,607489,615951,624362,633119,641803,650710,659799,669020,678246,687496,696943,706631,716261,725861,735624,745681,755711,765947,776202,786691,797159,807773,818587,829475,840714,852007,863426,874957,886604,898415,910473,922469,934837,947078,959485,972134,985241,998141,1011147,1024443,1038045,1051700,1065322,1079218,1093136,1107350,1121524,1135935,1150422,1165198,1180108,1195069,1210300,1225711,1241286,1257043,1272762,1288773,1305160,1321420,1337910,1354599,1371428,1388340,1405341,1422651,1440193,1457829,1475457,1493620,1511860,1530374,1549010
1,1,1,1,3,7,7,8,10,11,12,12,14,14,16,17,22,26,29,35,40,48,50,55,61,69,76,88,94,105,114,125,132,142,158,168,180,195,207,225,237,253,271,284,297,315,323,332,353,368,382,397,413,427,450,468,488,508,526,546,565,598,621,645,670,687,705,721,749,768,795,817,842,867,904,932,956,980,1006,1032,1056,1081,1108,1129,1149,1186,1214,1242,1281,1318,1358,1398,1428,1459,1493,1532,1570,1607,1643,1679,1716,1755,1790,1822,1854,1890,1922,1967,2007,2045,2071,2097,2129,2162,2194,2233,2262,2292,2333,2384,2426,2475,2528,2575,2622,2674,2733,2791,2849,2906,2987,3063,3131,3202,3280,3358,3441,3514,3592,3685,3776,3879,3978,4086,4177,4285,4392,4494,4585,4687,4800,4927,5040,5178,5316,5449,5572,5698,5851,6002,6156,6306,6472,6634,6767,6936,7091,7270,7448,7630,7800,8009,8198,8419,8612,8786,8960,9172,9370,9577,9773,9977,10190,10405,10629,10841,11064,11290,11490,11728,11939,12154,12402,12647,12892,13147,13400,13681,13949,14215,14489,14783,15081,15411,15717,16026,16336,16641,16971,17288,17590,17920,18257,18586,18964,19350,19697,20071,20417,20755,21140,21501,21899,22285,22649,23064,23511,23929,24361,24730,25165,25625,26091,26536,26984,27464,27898,28386,28868,29379,29854,30311,30821,31338,31888,32422,32920,33427,33947,34427,34931,35429,35969,36536,37122,37706,38280,38907,39497,40129,40728,41287,41917,42534,43177,43821,44478,45160,45874,46610,47270,48001,48787,49512,50325,51085,51937,52747,53637,54493,55379,56310,57210,58183,59114,60042,60993,62029,63076,64141,65189,66355,67519,68665,69796,70968,72152,73352,74571,75836,77110,78413,79761,81156,82576,83975,85346,86868,88373,89868,91406,93013,94659,96313,98013,99705,101483,103248,105111,106963,108845,110775,112642,114523,116500,118475,120540,122568,124695,126829,128963,131207,133411,135656,137898,140226,142524,144939,147361,149839,152394,154991,157622,160350,163117,165911,168649,171599,174481,177330,180305,183316,186448,189612,192841,195987,199163,202450,205763,209075,212575,215880,219224,222619,226161,229909,233535,237231,240869,244632,248463,252133,255953,259838,263823,267790,271773,275945,279998,284208,288441,292650,297048,301494,305882,310386,314854,319392,324087,328794,333616,338594,343585,348597,353741,358872,364062,369367,374621,380142,385530,391091,396647,402298,408033,413970,419698,425523,431484,437581,443727,449833,456047,462446,468889,475408,482053,488710,495375,502126,509089,516024,523074,530297,537566,544952,552370,559894,567640,575593,583543,591540,599705,607794,615987,624192,632551,640921,649683,658544,667469,676367,685499,694674,704237,713697,723222,732947,742589,752331,762225,772363,782573,792845,803192,813940,824720,835585,846554,857519,868901,880268,891604,903144,914960,926940,938818,951049,963039,975372,987828,1000530,1013571,1026830,1039912,1053224,1066825,1080448,1094234,1108172,1122272,1136336,1150871,1165611,1180348,1195438,1210561,1225845,1241369,1256975,1272806,1288657,1304890,1321023,1337368,1353956,1371006
1,1,1,1,1,1,1,1,3,6,6,7,8,8,10,12,12,14,20,23,31,32,37,39,47,56,61,66,77,92,96,106,114,127,136,145,154,165,174,182,186,193,201,208,215,232,237,245,251,255,268,278,286,294,305,312,326,343,364,373,384,400,417,431,453,474,486,504,524,537,559,573,596,621,656,678,695,722,753,782,803,837,871,900,934,973,1015,1054,1078,1116,1154,1207,1240,1281,1331,1375,1407,1462,1512,1551,1615,1660,1700,1756,1811,1877,1942,2018,2094,2162,2234,2327,2391,2467,2540,2621,2702,2785,2873,2973,3058,3152,3234,3340,3429,3539,3648,3752,3858,3962,4065,4190,4297,4412,4520,4624,4750,4876,4994,5154,5312,5434,5574,5706,5842,5964,6107,6259,6403,6561,6698,6847,7025,7190,7356,7522,7706,7898,8088,8264,8438,8613,8777,8946,9165,9387,9612,9838,10067,10284,10513,10743,11017,11271,11517,11770,12013,12232,12509,12780,13076,13328,13655,13932,14237,14513,14815,15094,15415,15752,16039,16360,16718,17040,17371,17697,18005,18350,18699,19068,19444,19785,20173,20527,20913,21297,21669,22063,22474,22879,23271,23719,24120,24557,25011,25430,25844,26314,26785,27220,27691,28163,28686,29192,29705,30215,30760,31285,31881,32434,32984,33596,34185,34795,35452,36021,36596,37184,37752,38428,39051,39688,40358,41023,41720,42448,43123,43804,44537,45281,46020,46741,47500,48247,49016,49765,50513,51318,52091,52936,53767,54584,55471,56346,57176,58069,58927,59840,60797,61751,62788,63800,64780,65758,66751,67764,68788,69870,70861,71979,73026,74141,75277,76450,77622,78805,79993,81293,82480,83703,85009,86250,87554,88932,90290,91591,92933,94218,95632,97007,98465,99858,101354,102858,104436,105991,107637,109223,110880,112578,114288,116025,117786,119559,121407,123296,125236,127135,129046,131033,133079,135144,137146,139247,141400,143573,145741,147927,150230,152580,154885,157172,159544,161922,164197,166625,169098,171580,174181,176696,179223,181798,184421,187121,189782,192542,195297,198152,201069,204050,207054,210147,213317,216456,219661,222929,226184,229540,232930,236544,240105,243750,247390,251110,254808,258568,262362,266289,270159,274187,278244,282392,286511,290774,295130,299559,304009,308588,313155,317742,322466,327376,332234,337227,342118,347187,352274,357450,362655,367978,373262,378636,384097,389744,395272,400874,406646,412433,418236,424176,430204,436409,442647,448921,455222,461660,468140,474628,481274,487965,494861,501747,508755,515872,523089,530238,537524,544856,552358,560137,567887,575745,583805,591927,600129,608216,616608,625002,633592,642523,651373,660298,669507,678689,688177,697727,707466,717351,727187,737279,747528,757793,768141,778640,789170,799778,810360,821320,832341,843625,855016,866284,877587,889037,900823,912502,924526,936598,949036,961348,974162,987008,1000023,1013032,1026140,1039642,1052932,1066545,1080229,1094083,1108231,1122395,1136587,1150957,1165734,1180329,1195216,1210401,1225667,1241137,1256645,1272570,1288091,1304024,1320433,1336627,1353326,1369956,1386960,1404160,1421350,1438550,1456285,1474162,1492403,1510699,1529215
1,1,1,1,1,3,9,10,11,11,11,11,12,16,19,22,26,31,37,43,52,57,68,78,84,97,107,119,131,145,162,184,203,223,242,261,283,305,321,344,364,386,409,430,449,470,488,515,539,559,584,605,631,659,686,714,739,764,791,814,851,875,909,940,966,1005,1038,1069,1110,1150,1199,1251,1314,1373,1431,1484,1555,1616,1676,1745,1802,1866,1922,1999,2089,2155,2229,2295,2356,2427,2503,2577,2660,2727,2790,2884,2952,3027,3102,3169,3224,3304,3375,3459,3524,3593,3655,3736,3823,3914,4000,4069,4167,4246,4321,4408,4483,4573,4673,4760,4861,4965,5066,5164,5254,5352,5444,5545,5638,5742,5870,5997,6115,6247,6361,6469,6598,6732,6854,6981,7101,7237,7371,7517,7641,7782,7921,8058,8188,8315,8440,8581,8754,8898,9063,9241,9402,9550,9708,9888,10079,10273,10450,10628,10805,10988,11174,11372,11575,11789,11998,12195,12388,12596,12778,13002,13219,13442,13650,13869,14091,14332,14558,14787,15014,15231,15440,15663,15923,16150,16395,16620,16865,17115,17345,17608,17884,18157,18408,18683,18961,19263,19555,19873,20194,20529,20832,21184,21527,21873,22227,22576,22980,23386,23762,24156,24586,25008,25427,25836,26289,26736,27216,27694,28171,28657,29143,29596,30122,30602,31141,31626,32155,32652,33184,33754,34308,34880,35435,36021,36604,37138,37715,38304,38883,39462,40072,40685,41295,41900,42495,43117,43784,44438,45130,45842,46528,47263,47929,48623,49328,50034,50819,51616,52402,53211,53989,54829,55673,56489,57332,58248,59119,60060,61002,61960,62909,63850,64775,65754,66756,67792,68796,69856,70906,71947,73047,74167,75259,76408,77616,78800,80019,81311,82559,83826,85168,86466,87806,89192,90534,91969,93367,94743,96151,97587,99073,100549,102046,103548,105048,106622,108221,109855,111526,113175,114777,116486,118198,119928,121685,123508,125341,127170,129030,130880,132800,134740,136773,138846,140949,143077,145143,147304,149431,151584,153759,155992,158303,160650,162988,165441,167890,170348,172776,175399,177863,180353,182838,185373,187980,190650,193343,196073,198925,201778,204693,207686,210705,213739,216757,219838,222939,226175,229363,232718,236041,239429,242906,246439,250067,253720,257424,261124,264812,268660,272525,276472,280562,284683,288844,292976,297231,301649,306063,310561,314945,319550,324164,328810,333477,338267,343119,348160,353339,358501,363725,368961,374216,379512,385027,390542,396137,401683,407339,413010,418683,424685,430590,436606,442819,448917,455079,461450,467718,473974,480481,486965,493640,500540,507412,514432,521418,528619,535820,543181,550706,558233,565768,573381,581316,589098,597046,605278,613773,622360,630716,639149,647716,656392,665260,674521,683659,692945,702389,711828,721461,731227,741209,751114,761363,771709,782349,792898,803574,814399,825191,836394,847751,859229,870651,882387,894228,906169,918424,930788,943199,955768,968608,981436,994413,1007660,1021042,1034965,1048713,1062527,1076342,1090488,1104874,1119246,1133823,1148678,1163390,1178232,1193270,1208429,1223764,1239039,1254686,1270440,1286173,1302305,1318456,1334920,1351507,1367815,1384457
1,1,4,5,8,13,17,21,24,27,28,33,36,37,41,46,52,67,80,84,88,98,104,108,118,125,140,153,168,178,194,203,214,220,230,251,275,289,308,325,348,369,392,414,440,463,490,513,532,566,587,610,633,661,694,709,725,748,764,785,810,834,854,873,895,920,947,978,997,1012,1040,1068,1094,1126,1155,1181,1212,1247,1290,1327,1368,1414,1453,1493,1540,1578,1630,1663,1699,1749,1790,1828,1872,1921,1974,2022,2079,2130,2181,2226,2290,2342,2381,2432,2481,2537,2584,2644,2693,2738,2778,2838,2899,2963,2998,3062,3134,3205,3281,3359,3424,3514,3592,3667,3741,3834,3901,3983,4046,4130,4234,4329,4409,4508,4608,4696,4798,4894,4978,5075,5160,5258,5339,5443,5558,5643,5735,5843,5950,6051,6150,6245,6368,6484,6617,6709,6823,6912,7036,7152,7261,7410,7539,7671,7801,7915,8034,8173,8306,8447,8579,8727,8865,9001,9135,9283,9421,9557,9687,9839,9999,10134,10265,10437,10569,10706,10849,10990,11124,11278,11417,11568,11715,11880,12060,12203,12337,12501,12646,12805,12949,13104,13269,13448,13616,13778,13936,14119,14302,14500,14685,14892,15104,15322,15526,15757,15979,16201,16459,16698,16942,17175,17433,17680,17939,18216,18504,18776,19031,19295,19520,19779,20075,20355,20635,20922,21224,21518,21776,22074,22367,22652,22978,23265,23576,23901,24243,24551,24862,25158,25529,25872,26234,26583,26936,27259,27642,28027,28410,28810,29222,29609,30005,30383,30804,31269,31715,32170,32577,33003,33436,33924,34375,34838,35343,35826,36344,36848,37379,37914,38462,39038,39608,40103,40687,41231,41808,42369,42906,43503,44049,44624,45216,45817,46431,47018,47582,48183,48843,49445,50078,50731,51354,52008,52688,53403,54140,54847,55583,56260,57000,57770,58575,59388,60177,60978,61839,62693,63496,64382,65313,66290,67256,68162,69162,70181,71164,72192,73275,74333,75368,76470,77534,78666,79795,80968,82094,83295,84468,85662,86930,88197,89469,90750,92131,93552,94953,96351,97873,99354,100865,102371,103950,105570,107089,108729,110397,112092,113859,115606,117366,119207,120976,122929,124844,126778,128758,130695,132692,134713,136768,138818,140836,142857,144975,147136,149312,151481,153673,155894,158137,160410,162675,164940,167261,169560,171974,174367,176877,179355,181814,184341,186906,189483,192120,194858,197584,200333,203173,206002,208901,211815,214745,217639,220639,223732,226855,230135,233326,236558,239878,243161,246505,249941,253495,256974,260592,264249,268003,271801,275580,279432,283290,287260,291215,295374,299549,303680,307826,312209,316397,320955,325223,329758,334404,339037,343723,348500,353366,358240,363141,368152,373300,378373,383575,388807,394243,399582,405050,410396,416022,421775,427587,433387,439218,445164,451128,457269,463512,469755,476141,482422,488750,495334,501981,508632,515490,522239,529152,536304,543433,550746,557931,565090,572569,580041,587627,595391,603159,611150,619231,627324,635423,643585,651857,660329,668874,677746,686569,695537,704547,713725,722900,732258,741722,751270,760993
1,1,1,1,1,3,3,4,5,6,8,14,18,21,27,30,34,40,45,51,58,69,82,94,119,133,150,159,178,193,205,222,241,254,275,298,328,342,362,374,389,401,421,437,456,477,501,524,545,561,582,603,624,646,659,678,692,714,742,769,790,820,847,875,913,942,976,1002,1038,1079,1118,1161,1196,1232,1277,1310,1361,1413,1468,1521,1584,1648,1686,1751,1823,1878,1938,1988,2051,2106,2152,2198,2258,2315,2377,2429,2477,2555,2619,2695,2741,2810,2872,2952,3028,3110,3182,3265,3334,3423,3519,3606,3686,3768,3855,3948,4036,4142,4226,4315,4401,4491,4579,4674,4768,4867,4966,5067,5176,5296,5390,5489,5605,5710,5835,5963,6087,6220,6352,6470,6568,6702,6832,6959,7081,7224,7344,7474,7611,7734,7899,8073,8219,8383,8530,8678,8825,8994,9158,9309,9470,9641,9831,9979,10174,10372,10568,10766,10972,11183,11390,11596,11796,12009,12196,12398,12564,12748,12940,13110,13311,13496,13676,13871,14075,14299,14508,14686,14887,15095,15306,15507,15726,15955,16169,16412,16633,16896,17145,17390,17617,17859,18127,18391,18646,18923,19186,19484,19760,20040,20345,20635,20919,21233,21546,21852,22144,22478,22795,23150,23466,23801,24143,24515,24863,25220,25581,25957,26327,26702,27092,27455,27886,28281,28678,29116,29560,29965,30426,30889,31317,31762,32227,32662,33096,33557,34050,34542,35044,35564,36089,36627,37189,37711,38220,38792,39346,39904,40490,41110,41681,42305,42947,43601,44210,44911,45613,46350,47105,47824,48613,49353,50112,50891,51755,52617,53423,54254,55182,56031,56947,57842,58765,59758,60727,61725,62705,63759,64764,65839,66935,68011,69081,70192,71256,72410,73535,74711,75937,77170,78405,79706,81017,82287,83562,84886,86320,87695,89062,90512,91964,93416,94866,96414,97876,99351,100938,102507,104096,105738,107424,109116,110997,112745,114512,116310,118156,120009,121852,123702,125532,127547,129481,131428,133366,135395,137412,139514,141598,143675,145846,148094,150355,152633,154916,157219,159676,162061,164508,166976,169512,172016,174668,177351,180011,182674,185481,188362,191182,194054,197048,200021,202923,206005,209104,212232,215495,218803,222172,225511,228796,232289,235699,239227,242730,246266,249847,253505,257146,260899,264684,268643,272653,276690,280782,284911,289063,293103,297428,301712,306032,310422,314808,319216,323815,328501,333241,337986,342706,347698,352733,357607,362641,367697,372939,378122,383490,388963,394411,399875,405562,411277,416992,422747,428563,434733,440921,447145,453630,460044,466554,473287,479916,486747,493722,500801,507980,515381,522891,530501,537967,545631,553612,561595,569724,577966,586151,594551,603030,611674,620309,629136,638058,646943,655908,665136,674279,683584,692898,702477,712299,722073,732009,742074,752166,762393,772829,783308,793838,804457,815137,826111,837200,848283,859476,870899,882252,893682,905418,917213,929310,941254,953409,965633,978099,990670,1003396,1016249,1029165,1042113,1055399,1068635,1082048,1095756,1109414,1123385,1137501,1151706,1165934,1180355,1194950,1209729,1224781,1239671,1255135,1270624,1286211
1,1,2,5,6,6,7,11,11,12,13,13,14,15,20,24,27,33,38,44,51,61,67,72,77,82,97,103,114,122,139,153,164,178,186,200,211,221,231,243,263,275,289,303,323,335,349,368,378,394,407,426,440,458,474,496,516,532,560,586,605,636,664,691,728,769,805,836,869,906,952,993,1032,1065,1112,1140,1185,1225,1274,1310,1360,1399,1446,1486,1541,1590,1640,1699,1760,1812,1859,1921,1980,2047,2096,2162,2239,2305,2387,2477,2547,2625,2703,2791,2878,2948,3022,3111,3208,3287,3379,3469,3557,3657,3746,3852,3960,4065,4175,4288,4397,4501,4604,4721,4828,4954,5068,5201,5316,5430,5545,5664,5807,5938,6067,6197,6320,6458,6586,6716,6855,6984,7116,7253,7399,7534,7665,7812,7972,8143,8274,8430,8561,8703,8869,9010,9157,9340,9497,9638,9792,9945,10096,10238,10386,10538,10705,10852,10999,11140,11299,11459,11630,11785,11944,12104,12247,12399,12581,12733,12913,13086,13273,13456,13613,13765,13933,14122,14285,14494,14703,14890,15087,15275,15466,15619,15809,16019,16211,16402,16613,16849,17082,17316,17560,17796,18054,18296,18559,18790,19011,19253,19491,19733,19993,20253,20525,20802,21084,21388,21688,21988,22277,22625,22988,23293,23629,23963,24318,24676,25044,25424,25766,26120,26515,26904,27336,27696,28124,28546,28950,29373,29755,30176,30590,31001,31422,31831,32277,32759,33227,33708,34209,34692,35156,35667,36176,36675,37154,37658,38155,38640,39103,39651,40204,40730,41246,41772,42313,42859,43427,43983,44589,45181,45765,46382,47025,47731,48385,49080,49793,50425,51106,51830,52616,53310,54046,54786,55526,56250,57001,57764,58526,59292,60065,60791,61616,62461,63325,64147,65009,65888,66746,67584,68473,69415,70374,71359,72307,73253,74149,75148,76142,77194,78289,79309,80376,81427,82498,83686,84778,85972,87231,88502,89736,90960,92197,93477,94844,96221,97600,98993,100412,101851,103313,104804,106349,107890,109412,111008,112571,114175,115741,117356,118884,120554,122222,123976,125664,127459,129256,131049,132803,134590,136357,138185,140034,141852,143779,145730,147742,149701,151708,153690,155838,157953,160153,162248,164374,166572,168752,171007,173310,175642,177969,180332,182671,185131,187534,190041,192493,194957,197513,200111,202661,205299,207980,210674,213347,216165,218980,221854,224767,227735,230765,233836,236908,239928,243036,246166,249576,252896,256145,259454,262969,266336,269856,273384,276972,280615,284215,288089,291957,295826,299675,303731,307823,311814,315978,320282,324678,329015,333322,337769,342315,346792,351353,355930,360734,365597,370459,375416,380415,385571,390721,395841,401132,406622,412024,417547,423229,428928,434709,440403,446397,452335,458399,464606,470787,477123,483610,490090,496612,503272,509913,516724,523649,530878,537921,545029,552248,559644,567012,574574,582193,589908,597747,605569,613692,621781,629986,638373,646791,655551,664316,673239,682182,691328,700736,710190,719766,729242,738848,748734,758635,768484,778581,788951,799110,809344,819833,830687,841336,852226,863027,873986,885168
1,1,1,1,1,1,2,6,7,9,11,13,15,16,16,21,22,27,32,34,39,47,54,66,73,76,85,95,103,113,123,135,141,149,167,180,194,204,219,233,249,262,276,301,313,335,347,365,383,396,420,436,454,478,491,512,533,550,569,589,617,637,655,678,694,717,742,768,792,827,849,880,910,955,979,1007,1030,1070,1099,1137,1165,1199,1225,1254,1287,1320,1354,1394,1432,1479,1511,1540,1575,1617,1662,1709,1753,1796,1847,1887,1942,2004,2063,2115,2152,2209,2274,2338,2401,2467,2520,2585,2652,2740,2810,2872,2965,3045,3122,3182,3264,3324,3417,3505,3584,3659,3734,3812,3886,3958,4030,4102,4165,4240,4301,4385,4469,4554,4633,4698,4780,4865,4945,5014,5086,5145,5210,5274,5344,5400,5467,5524,5592,5668,5726,5782,5852,5909,5960,6022,6071,6146,6211,6280,6352,6427,6485,6559,6634,6722,6788,6868,6946,7029,7141,7259,7365,7476,7576,7674,7779,7884,8014,8133,8261,8380,8504,8630,8765,8930,9076,9247,9412,9563,9711,9868,10010,10179,10333,10502,10661,10824,11004,11188,11344,11514,11684,11893,12078,12295,12481,12666,12864,13088,13280,13494,13719,13927,14130,14337,14568,14808,15038,15285,15547,15769,16014,16237,16489,16720,16964,17215,17470,17693,17936,18209,18472,18734,19003,19272,19563,19846,20112,20370,20694,20977,21284,21610,21945,22289,22635,22984,23341,23697,24066,24448,24864,25268,25668,26045,26428,26838,27265,27691,28126,28563,29000,29401,29827,30236,30688,31123,31599,32061,32515,32923,33365,33810,34285,34740,35197,35656,36151,36591,37070,37526,38018,38478,38990,39474,39959,40450,40978,41481,42004,42512,42975,43491,44052,44525,45076,45633,46193,46757,47336,47883,48465,49050,49695,50341,50979,51636,52299,52998,53659,54347,55027,55730,56421,57133,57838,58562,59252,59994,60718,61429,62205,62958,63705,64485,65308,66047,66873,67650,68456,69256,70126,70944,71747,72569,73433,74304,75162,76076,76975,77909,78901,79903,80902,81911,82914,84008,85055,86172,87264,88386,89504,90745,91910,93136,94323,95507,96714,97924,99186,100465,101805,103094,104445,105878,107324,108667,110098,111569,113049,114524,116005,117493,119062,120613,122286,123880,125575,127276,128994,130674,132453,134297,136119,137964,139794,141707,143679,145654,147643,149642,151696,153757,155866,157901,160074,162324,164564,166792,169040,171279,173644,175970,178227,180616,183029,185398,187796,190310,192828,195232,197718,200268,202765,205270,207944,210567,213201,215903,218645,221346,223952,226748,229568,232441,235365,238217,241205,244153,247078,250130,253186,256291,259583,262916,266222,269446,272813,276234,279634,283163,286748,290439,294096,297844,301688,305631,309454,313480,317439,321382,325406,329527,333762,337909,342222,346609,350890,355235,359831,364453,369149,373837,378636,383431,388446,393419,398482,403546,408743,413988,419264,424637,430147,435625,441393,446953,452781,458672,464635,470645,476772,482971,489226,495568,501803,508208,514809,521419,528164,534983,541812
1,1,1,1,1,1,1,2,2,4,5,7,9,10,11,12,16,18,20,22,25,30,35,43,47,56,64,71,78,85,87,100,107,112,119,127,137,143,160,165,175,182,201,216,227,239,254,273,288,312,330,348,371,386,407,432,456,485,517,537,582,629,667,714,750,796,855,912,960,1017,1075,1123,1175,1234,1295,1345,1396,1453,1502,1560,1613,1662,1696,1739,1783,1829,1858,1901,1947,1984,2023,2053,2085,2116,2157,2212,2258,2303,2335,2376,2410,2446,2481,2523,2562,2591,2632,2666,2713,2759,2808,2852,2895,2947,2991,3037,3088,3126,3171,3223,3273,3306,3355,3396,3443,3492,3525,3566,3617,3666,3720,3776,3828,3878,3938,3984,4042,4102,4170,4229,4295,4376,4442,4520,4590,4683,4759,4828,4912,5000,5072,5164,5230,5300,5375,5466,5554,5625,5693,5767,5836,5891,5963,6039,6117,6194,6268,6351,6419,6493,6570,6639,6720,6799,6885,6974,7050,7139,7224,7324,7407,7485,7586,7676,7766,7863,7968,8086,8190,8305,8434,8576,8693,8810,8964,9079,9210,9348,9491,9619,9738,9866,10000,10111,10241,10388,10528,10659,10785,10929,11080,11223,11375,11514,11690,11866,12028,12200,12390,12585,12768,12950,13156,13370,13577,13787,14025,14234,14471,14726,15022,15278,15531,15832,16101,16369,16646,16954,17265,17554,17857,18169,18476,18785,19121,19435,19774,20136,20463,20828,21242,21638,22022,22404,22777,23165,23600,24042,24530,25033,25498,26003,26518,27004,27531,28068,28594,29142,29704,30263,30778,31342,31959,32550,33177,33803,34417,35046,35668,36360,37040,37695,38401,39100,39843,40633,41474,42300,43034,43832,44620,45459,46247,47076,47890,48763,49581,50408,51307,52200,53137,54056,54999,56019,57058,58086,59191,60252,61353,62473,63584,64711,65831,66950,68134,69248,70471,71759,72997,74225,75404,76614,77892,79126,80393,81635,82909,84202,85487,86780,88055,89353,90640,92002,93346,94647,96008,97327,98739,100178,101651,103083,104617,106145,107692,109268,110860,112483,114128,115819,117515,119262,121079,122872,124731,126548,128497,130530,132608,134638,136703,138888,141053,143282,145527,147768,150113,152520,154868,157250,159631,162044,164615,167226,169853,172519,175275,178028,180713,183536,186366,189200,192090,195023,198202,201329,204468,207683,210900,214126,217536,220874,224312,227781,231290,234902,238532,242214,245757,249478,253368,257179,261000,264891,268855,272919,276948,281053,285151,289258,293583,297887,302285,306580,310982,315552,320071,324732,329456,334193,338936,343741,348512,353507,358273,363333,368386,373474,378768,383842,389292,394759,400121,405597,411061,416643,422210,427938,433766,439391,445253,451249,457324,463515,469921,476258,482541,488892,495378,501894,508700,515565,522480,529452,536944,544169,551574,559113,566630,574454,582305,590215,598247,606484,614695,623021,631530,640064,648696,657566,666475,675508,684660,694005,703553,713237,722967,732641,742390,752469,762553,772999,783402,793777,804366,814964,826018,837033,848151,859456,870981,882488,894187,906023,917978,930146,942300
1,1,1,1,1,1,1,2,3,4,5,6,6,11,16,22,27,29,34,42,47,55,69,79,89,100,102,111,122,132,140,146,152,158,168,175,184,193,202,204,209,214,220,233,243,253,265,277,290,307,315,325,334,346,363,376,392,409,424,448,456,482,496,516,544,572,600,625,657,683,709,734,769,803,833,869,905,955,1007,1061,1109,1144,1179,1236,1278,1312,1370,1414,1463,1521,1562,1624,1685,1735,1795,1854,1919,1967,2025,2090,2160,2224,2275,2340,2388,2460,2532,2627,2712,2783,2855,2931,3009,3098,3191,3265,3340,3411,3474,3544,3620,3703,3782,3860,3944,4024,4108,4174,4242,4319,4406,4499,4561,4648,4722,4807,4884,4967,5049,5112,5185,5270,5381,5479,5566,5646,5721,5819,5920,6038,6143,6261,6359,6468,6570,6692,6804,6932,7067,7196,7332,7451,7564,7697,7807,7925,8031,8149,8249,8339,8462,8570,8687,8796,8913,9016,9132,9248,9349,9458,9566,9674,9815,9935,10039,10166,10282,10395,10520,10664,10785,10909,11041,11215,11368,11521,11655,11801,11959,12144,12317,12497,12676,12861,13036,13209,13397,13600,13812,14028,14244,14438,14679,14911,15162,15407,15625,15879,16134,16410,16697,16996,17280,17550,17843,18140,18475,18775,19059,19390,19733,20087,20463,20822,21186,21533,21931,22320,22732,23138,23568,23985,24397,24823,25236,25643,26109,26547,26980,27460,27953,28461,28951,29458,29952,30415,30927,31393,31872,32399,32940,33479,34051,34579,35161,35735,36327,36876,37452,38017,38619,39269,39860,40485,41124,41728,42394,43080,43829,44541,45264,46018,46777,47506,48252,48993,49765,50561,51386,52263,53109,53982,54823,55730,56659,57566,58483,59437,60392,61383,62371,63386,64397,65458,66551,67628,68745,69872,71011,72104,73252,74456,75631,76817,78010,79228,80451,81627,82892,84215,85446,86759,88119,89426,90809,92220,93569,95049,96453,97966,99418,100831,102343,103867,105497,107141,108715,110318,111991,113620,115221,116861,118539,120211,121893,123555,125306,127089,128772,130525,132369,134125,135943,137803,139650,141472,143368,145188,147058,149011,150945,152900,154933,156988,159051,161066,163083,165137,167273,169458,171665,173823,175977,178234,180567,182863,185311,187682,190117,192575,195100,197705,200378,203031,205694,208534,211358,214176,217048,220018,223112,226040,229039,232060,235082,238174,241400,244687,248032,251290,254689,258126,261639,265202,268863,272469,276111,279829,283603,287389,291163,295041,299011,303017,306969,311090,315270,319462,323641,327945,332295,336701,341209,345702,350115,354688,359439,364205,369078,374106,378994,383898,388992,394264,399500,404751,410020,415432,420864,426265,431764,437282,443013,448671,454407,460261,466165,472330,478522,484680,490836,497289,503722,510227,516796,523364,530117,536972,543930,551030,558056,565251,572650,580011,587680,595294,602815,610510,618561,626653,634783,642812,650964,659504,668150,676672,685291,693933,702718,711579,720499,729673,738955,748139,757636,766986,776710,786387,796270,806155,816120,826156,836501,846775,857243,867915,878768
1,1,1,5,7,7,7,7,10,14,15,19,23,29,32,37,38,41,46,49,62,71,76,87,99,110,119,121,125,129,137,142,149,155,161,177,195,212,229,238,248,256,266,274,286,298,314,324,341,359,376,397,422,447,474,505,531,563,603,637,674,705,734,778,818,865,915,962,994,1040,1091,1139,1181,1226,1277,1324,1370,1427,1464,1509,1540,1577,1617,1669,1704,1739,1781,1823,1861,1894,1946,1990,2044,2109,2168,2221,2283,2331,2390,2432,2484,2526,2586,2638,2695,2745,2813,2874,2939,2997,3069,3135,3194,3245,3315,3366,3428,3489,3543,3599,3665,3732,3791,3843,3919,3989,4057,4111,4184,4239,4297,4364,4423,4490,4545,4598,4650,4704,4767,4838,4893,4958,5027,5085,5144,5212,5260,5321,5382,5436,5491,5561,5612,5669,5753,5825,5888,5955,6007,6088,6153,6225,6303,6380,6450,6515,6588,6662,6750,6839,6916,7002,7077,7160,7240,7339,7427,7495,7567,7649,7718,7815,7905,7991,8089,8174,8258,8338,8413,8505,8604,8714,8824,8928,9022,9127,9236,9337,9441,9535,9646,9753,9850,9951,10046,10147,10263,10387,10489,10610,10746,10841,10961,11085,11201,11303,11406,11505,11618,11742,11875,11993,12125,12253,12378,12521,12664,12799,12969,13140,13315,13484,13659,13827,14031,14234,14444,14632,14871,15094,15313,15525,15759,16020,16288,16526,16758,16998,17258,17527,17780,18047,18302,18558,18807,19066,19333,19594,19869,20157,20442,20750,21030,21303,21606,21926,22230,22513,22829,23102,23403,23708,24051,24393,24751,25094,25448,25818,26141,26534,26879,27280,27679,28058,28436,28832,29218,29638,30043,30473,30875,31294,31720,32131,32607,33045,33482,33956,34446,34953,35431,35912,36429,36896,37390,37878,38415,38967,39567,40127,40747,41404,42006,42585,43209,43880,44592,45217,45904,46602,47318,48053,48794,49531,50247,50942,51737,52541,53300,54105,54876,55688,56497,57267,58014,58830,59670,60434,61290,62120,62975,63841,64745,65652,66529,67446,68419,69320,70322,71280,72253,73257,74236,75275,76294,77335,78467,79548,80704,81866,82951,84126,85208,86386,87555,88757,89954,91107,92377,93638,94928,96214,97562,98878,100197,101516,102861,104174,105482,106859,108266,109713,111110,112580,114074,115617,117146,118691,120276,121879,123513,125172,126847,128489,130263,131965,133714,135404,137185,138926,140670,142521,144363,146258,148158,150005,151900,153875,155916,158006,160139,162262,164503,166720,168949,171262,173599,175922,178370,180824,183227,185633,188136,190719,193297,195936,198522,201094,203806,206513,209334,212115,215001,217938,220910,223857,226923,230041,233187,236375,239651,242943,246240,249627,253138,256620,260178,263819,267491,271237,275016,278915,282789,286753,290723,294682,298693,302831,306951,311282,315426,319719,324180,328605,332967,337356,341743,346223,350832,355415,360072,364765,369401,374069,378995,383979,388979,394105,399231,404303,409617,415090,420666,426256,431765,437406,443120,449025,454909,460873,466981,473243,479407,485668,491970,498436,504980
1,1,1,1,1,1,3,4,5,10,14,17,19,27,37,43,50,54,65,72,80,89,105,113,131,144,158,166,182,196,211,227,242,261,277,298,319,343,361,381,402,429,463,492,520,555,587,613,652,686,724,761,802,833,870,912,971,1010,1049,1082,1121,1174,1223,1273,1311,1358,1414,1460,1524,1581,1637,1692,1734,1779,1838,1898,1950,2019,2080,2162,2222,2294,2343,2408,2476,2555,2611,2688,2758,2828,2907,2968,3044,3129,3213,3298,3378,3459,3543,3655,3757,3858,3945,4039,4127,4227,4353,4488,4593,4706,4803,4928,5045,5171,5281,5400,5519,5643,5763,5907,6063,6200,6313,6459,6603,6714,6841,6976,7109,7251,7378,7519,7663,7821,7979,8149,8320,8495,8681,8882,9069,9269,9480,9688,9878,10090,10317,10545,10793,11049,11252,11498,11731,11995,12254,12487,12777,13051,13300,13556,13831,14121,14407,14670,14952,15249,15542,15842,16104,16422,16728,17033,17369,17706,18047,18373,18711,19053,19396,19754,20126,20524,20869,21238,21611,22003,22390,22767,23117,23501,23890,24249,24685,25100,25516,25949,26396,26849,27287,27738,28191,28661,29108,29559,30037,30503,30948,31470,31990,32502,33030,33586,34142,34737,35339,35902,36460,37102,37691,38340,38990,39608,40243,40958,41645,42328,43002,43699,44444,45205,45959,46676,47434,48197,49028,49817,50611,51432,52198,53052,53883,54741,55562,56424,57312,58198,59124,60098,60994,62001,62998,63984,65013,66014,67103,68179,69265,70388,71548,72672,73869,75001,76199,77447,78748,79974,81241,82520,83820,85115,86449,87787,89147,90495,91845,93258,94700,96084,97529,99067,100553,102052,103622,105220,106812,108470,110048,111695,113360,115071,116757,118491,120300,122103,123898,125744,127702,129543,131418,133383,135321,137377,139397,141524,143627,145856,148082,150308,152551,154815,157171,159424,161786,164213,166774,169303,171792,174352,176961,179610,182302,185090,187868,190613,193375,196243,199188,202210,205135,208180,211253,214389,217565,220745,224018,227279,230685,234115,237688,241131,244608,248274,251920,255629,259471,263199,266914,270812,274729,278830,282815,286879,291005,295085,299290,303514,307866,312384,316885,321401,325903,330498,335259,339816,344703,349581,354592,359622,364648,369838,375039,380309,385778,391219,396711,402380,408039,413642,419566,425421,431409,437427,443464,449771,455992,462123,468443,474833,481528,488063,494668,501414,508110,514953,521949,529035,536072,543178,550245,557411,564689,572187,579778,587615,595457,603402,611364,619475,627741,636027,644439,652972,661597,670366,679263,688364,697598,707007,716688,726363,736159,745970,755938,766016,776372,786639,797098,807530,818145,829115,840039,851076,862335,873734,885268,896819,908475,920322,932501,944649,956756,969202,981756,994512,1007372,1020635,1034008,1047170,1060950,1074407,1088099,1102103,1116306,1130747,1145217,1159605,1174698,1189436,1204391,1219636,1235106,1250775,1266510,1282306,1298426,1314749,1331203,1348088,1365088,1381924,1399311,1416624,1434107,1451826,1469529,1487666,1505807,1524075,1542734,1561615,1580306,1599313,1618600,1638019,1657716,1677596,1697693,1717945,1738161,1758816,1779592,1800575,1822136,1843567,1865247,1887388,1909647
1,1,1,1,4,6,10,10,11,12,15,15,15,16,18,23,27,35,40,46,47,49,51,60,72,80,92,102,115,123,126,130,143,150,155,165,174,182,191,199,207,209,216,221,226,233,235,241,251,257,263,266,276,295,307,319,329,348,356,369,387,403,415,425,444,452,464,489,515,530,563,589,608,629,661,682,717,747,779,820,850,885,934,967,994,1027,1074,1110,1149,1195,1241,1286,1329,1378,1415,1460,1507,1557,1602,1662,1715,1762,1816,1863,1909,1953,2018,2072,2141,2207,2274,2332,2414,2481,2549,2619,2706,2786,2873,2971,3051,3130,3203,3274,3365,3460,3549,3646,3741,3833,3925,4007,4097,4209,4299,4405,4514,4618,4732,4833,4926,5015,5135,5255,5348,5464,5575,5677,5771,5876,5988,6098,6222,6320,6420,6517,6652,6773,6886,7000,7137,7266,7418,7547,7676,7807,7962,8095,8219,8333,8497,8645,8803,8956,9127,9314,9483,9643,9816,9984,10156,10328,10534,10700,10887,11088,11282,11496,11710,11920,12129,12349,12577,12802,12995,13215,13434,13663,13908,14125,14390,14589,14799,15022,15260,15496,15736,15992,16207,16440,16707,16998,17238,17499,17753,18000,18272,18510,18780,19058,19345,19614,19934,20217,20519,20848,21162,21462,21766,22075,22405,22726,23045,23361,23679,23990,24316,24694,25066,25453,25865,26278,26642,27048,27433,27851,28262,28662,29083,29494,29949,30389,30892,31305,31745,32207,32675,33133,33585,34057,34545,35006,35545,36025,36504,37014,37564,38096,38645,39214,39774,40381,40976,41584,42224,42839,43494,44146,44765,45384,46051,46709,47330,48021,48737,49373,50094,50815,51516,52213,52945,53613,54361,55113,55806,56574,57346,58117,58905,59691,60524,61316,62111,62925,63687,64471,65315,66129,66992,67837,68726,69593,70400,71290,72209,73119,74072,74999,75962,76943,77871,78846,79828,80826,81859,82975,84062,85124,86156,87261,88322,89454,90616,91808,92972,94163,95412,96614,97862,99148,100375,101642,102909,104191,105506,106864,108253,109652,111084,112523,114031,115520,117007,118438,119919,121535,123046,124566,126164,127827,129485,131080,132830,134547,136257,137907,139689,141443,143223,145083,146923,148765,150649,152618,154555,156646,158687,160809,162950,165123,167355,169554,171893,174224,176533,178867,181346,183767,186241,188733,191192,193854,196440,198985,201599,204242,206913,209576,212291,215061,217874,220643,223462,226351,229205,232164,235096,238104,241092,244200,247321,250548,253739,256965,260192,263651,267013,270443,273926,277558,281182,284864,288694,292575,296520,300451,304526,308596,312622,316751,321152,325389,329797,334192,338656,343286,347887,352630,357309,362066,366960,371894,376831,381852,386927,391994,397304,402683,408130,413762,419230,424701,430333,436093,441862,447635,453528,459388,465492,471549,477692,484008,490254,496508,503054,509685,516338,523078,530051,536930,543953,551029,558265,565546,572801,580370,588028,595577,603349,611239,619277,627280,635562,643736,652015,660435,669007,677601,686349,695035,703865,712891,721912,731266,740484,750019,759467
1,1,1,1,1,5,7,9,12,17,28,33,37,43,52,65,78,91,116,133,150,165,183,202,221,244,261,282,316,332,365,397,422,441,457,489,517,544,569,588,605,636,664,688,716,749,777,802,835,865,889,926,972,1008,1046,1081,1123,1155,1178,1206,1246,1276,1306,1344,1382,1415,1454,1496,1545,1607,1657,1703,1765,1810,1870,1942,2008,2077,2146,2217,2284,2356,2413,2495,2576,2661,2734,2805,2885,2951,3039,3112,3194,3263,3326,3408,3503,3599,3687,3769,3840,3946,4038,4116,4213,4327,4433,4533,4623,4734,4843,4969,5081,5223,5358,5490,5656,5787,5926,6067,6214,6366,6507,6661,6812,6967,7120,7285,7467,7637,7796,7966,8126,8308,8476,8648,8807,8965,9137,9335,9527,9747,9948,10114,10325,10544,10759,10998,11200,11432,11674,11883,12079,12307,12539,12770,13026,13258,13519,13778,14066,14321,14554,14785,15071,15343,15605,15910,16179,16470,16779,17073,17393,17724,18069,18406,18761,19158,19495,19889,20304,20710,21111,21569,21977,22445,22888,23377,23850,24280,24722,25217,25734,26254,26765,27302,27847,28378,28923,29437,29971,30545,31088,31667,32286,32885,33512,34102,34709,35358,36006,36644,37300,37984,38674,39401,40159,40932,41751,42580,43416,44177,44993,45851,46701,47558,48434,49306,50181,51070,51932,52877,53847,54836,55837,56830,57838,58873,59911,61002,62008,63061,64132,65238,66407,67524,68657,69896,71037,72244,73377,74575,75731,77075,78354,79658,80966,82263,83591,84964,86438,87940,89395,90940,92457,94049,95615,97193,98819,100490,102116,103802,105561,107239,108937,110767,112547,114396,116278,118118,120003,121947,123861,125835,127839,129929,132032,134139,136280,138562,140744,143159,145438,147743,150179,152593,155063,157537,160102,162702,165447,168145,170958,173826,176734,179607,182604,185461,188502,191551,194628,197734,200836,204157,207390,210693,213999,217400,220811,224263,227810,231417,235023,238585,242270,246137,249994,253944,257926,261863,265918,270063,274232,278574,282801,287192,291713,296174,300677,305281,310080,314847,319718,324536,329519,334654,339909,345114,350330,355623,361030,366427,371890,377509,383130,388788,394450,400374,406337,412373,418461,424579,430796,437063,443474,449833,456074,462516,469233,476090,482836,489855,496918,504036,511373,518517,526071,533492,540935,548564,556474,564299,572247,580197,588268,596555,604977,613609,622199,630774,639557,648352,657303,666398,675610,684795,694163,703769,713481,723266,733010,743161,753145,763320,773873,784477,795025,805931,816855,827975,839154,850329,861692,873336,885081,896818,908809,920902,933276,945696,958325,971133,984183,997224,1010407,1023843,1037412,1051101,1064735,1078780,1093123,1107564,1122252,1136965,1151940,1167100,1182493,1197742,1213233,1228945,1244845,1260737,1277008,1293483,1309737,1326246,1342953,1359867,1376942,1394338,1411427,1428991,1446521,1464449,1482619,1500719,1518845,1537327,1555624,1574202,1592846,1611830,1631276,1650557,1670221,1690177,1710275,1730334,1750370,1770792,1791390,1812705,1834019,1855304,1877057,1898777,1920837,1943132,1965752,1988300,2011091,2034228,2057732,2081205,2105484,2129163,2153263,2177484,2202329,2226977,2252130,2277314,2302906,2328701,2354797,2381275,2408111
1,1,1,1,1,1,1,1,1,2,5,8,8,11,15,19,23,24,28,35,39,41,46,48,53,58,67,78,87,99,111,118,126,136,147,149,160,168,187,201,215,227,239,246,257,265,274,290,303,316,341,356,378,396,419,429,458,484,521,539,567,601,625,656,678,715,746,772,804,827,856,883,922,953,993,1027,1057,1098,1132,1161,1202,1233,1263,1306,1349,1389,1442,1481,1540,1581,1642,1694,1733,1777,1822,1873,1923,1986,2046,2121,2172,2235,2301,2362,2445,2522,2597,2677,2750,2824,2905,3012,3109,3196,3291,3390,3473,3564,3646,3736,3838,3944,4056,4177,4283,4384,4499,4607,4707,4810,4927,5037,5142,5249,5378,5504,5621,5761,5880,5988,6090,6208,6336,6458,6583,6710,6853,6982,7118,7286,7439,7583,7742,7920,8095,8250,8428,8614,8781,8984,9194,9397,9588,9806,10011,10220,10441,10694,10950,11179,11400,11655,11929,12175,12442,12708,12979,13242,13520,13787,14094,14423,14722,15019,15341,15654,15979,16307,16618,16949,17274,17577,17887,18213,18542,18887,19241,19584,19931,20280,20635,20975,21343,21679,22058,22401,22784,23162,23560,23956,24311,24709,25106,25542,25885,26325,26754,27177,27605,28028,28457,28886,29339,29800,30249,30775,31229,31767,32233,32745,33286,33848,34350,34874,35374,35864,36390,36901,37455,37997,38553,39144,39711,40282,40897,41516,42063,42715,43305,43955,44563,45202,45886,46570,47261,47886,48596,49244,49945,50655,51433,52156,52908,53688,54446,55254,56083,56887,57783,58618,59486,60335,61201,62098,62929,63814,64702,65609,66535,67499,68408,69378,70309,71326,72354,73419,74508,75582,76665,77772,78844,79964,81025,82176,83338,84501,85688,86925,88155,89396,90630,91892,93161,94455,95762,97019,98312,99697,101054,102449,103832,105262,106732,108199,109738,111210,112688,114200,115670,117266,118815,120473,122162,123780,125465,127104,128916,130701,132450,134258,136095,137998,139912,141848,143835,145793,147738,149679,151658,153626,155744,157882,159921,162057,164105,166238,168396,170568,172848,175036,177351,179683,181930,184332,186598,189010,191366,193827,196274,198834,201385,203987,206493,209239,212037,214773,217617,220327,223179,226038,228914,231930,234961,238083,241163,244225,247340,250571,253833,257302,260669,264054,267532,270946,274485,278089,281672,285239,289032,292672,296352,300264,304211,308050,312130,316128,320223,324296,328654,333034,337558,342070,346589,351212,355795,360501,365442,370313,375276,380361,385378,390529,395665,400974,406375,411685,417124,422709,428370,434150,439945,445894,451875,457913,464322,470733,477061,483497,490139,496658,503472,510304,517362,524442,531563,538900,546366,553756,561299,568915,576580,584386,592329,600370,608572,616740,625038,633284,642017,650784,659514,668289,677364,686391,695675,705113,714428,723846,733340,743066,752963,762948,773031,783130,793120,803672,814099,824704,835180,845968,856814,867776,878926,889884,901156,912540,924331,935791,947576,959627,971702,983786,995980,1008352,1020915,1033791,1046781,1059754,1072855,1086039,1099471,1113231,1127009,1140915,1154995,1169119,1183286
1,1,1,3,6,9,14,17,22,23,25,28,36,45,54,64,73,86,94,103,112,120,125,134,151,163,173,183,193,200,212,217,223,229,233,247,253,259,265,269,275,283,289,299,312,321,332,341,357,367,378,396,413,426,443,467,487,509,535,557,577,598,625,648,672,688,716,742,770,804,836,866,894,923,959,1015,1046,1087,1136,1175,1229,1272,1332,1377,1424,1478,1529,1593,1661,1730,1829,1889,1972,2059,2147,2238,2331,2410,2500,2598,2702,2794,2893,2997,3097,3189,3311,3420,3525,3634,3747,3858,3984,4102,4201,4323,4435,4559,4672,4801,4904,5011,5111,5231,5334,5467,5585,5689,5831,5948,6078,6187,6301,6411,6537,6678,6805,6940,7059,7190,7342,7477,7614,7757,7923,8067,8238,8413,8585,8770,8940,9120,9332,9524,9697,9898,10088,10265,10467,10691,10907,11122,11321,11530,11728,11952,12163,12352,12575,12787,13007,13220,13448,13687,13902,14080,14283,14491,14707,14915,15100,15312,15527,15747,15980,16216,16441,16675,16922,17181,17392,17637,17895,18166,18395,18634,18922,19232,19527,19838,20141,20430,20716,21077,21422,21772,22143,22514,22880,23245,23626,24011,24402,24819,25199,25596,25982,26384,26765,27214,27692,28117,28540,28935,29355,29805,30326,30813,31304,31811,32286,32762,33289,33787,34309,34841,35414,35971,36516,37099,37692,38285,38925,39576,40176,40820,41518,42201,42888,43596,44316,45105,45873,46619,47362,48139,48944,49727,50493,51366,52206,53069,53963,54892,55756,56698,57623,58607,59576,60557,61538,62534,63562,64597,65631,66682,67762,68929,70047,71157,72259,73419,74651,75837,77104,78293,79504,80767,82073,83310,84554,85857,87231,88586,89950,91347,92763,94167,95597,97056,98507,99979,101511,103011,104542,106073,107688,109320,110952,112636,114314,116003,117800,119669,121423,123138,124979,126784,128578,130494,132423,134423,136392,138437,140419,142399,144581,146758,148848,151095,153275,155440,157689,159933,162365,164770,167243,169617,172134,174744,177393,180008,182789,185691,188526,191404,194284,197304,200387,203492,206753,209975,213452,216862,220280,223827,227361,230863,234534,238410,242215,246070,250052,253974,257991,262099,266388,270675,274960,279377,283837,288284,292726,297199,301951,306688,311563,316425,321342,326346,331370,336412,341516,346888,352293,357707,363219,368965,374751,380551,386403,392287,398272,404317,410482,416596,422900,429307,435670,442230,448978,455672,462470,469429,476455,483387,490414,497644,504957,512318,519802,527359,534812,542440,550308,558176,566066,574048,582333,590737,599020,607619,616449,625297,634121,643220,652279,661463,670924,680504,690171,699986,709894,719877,730012,740364,750658,761150,771781,782309,793104,803921,815018,826136,837420,848893,860209,871788,883505,895309,907408,919631,932108,944605,957243,969872,982810,995862,1009021,1022216,1035705,1049538,1063426,1077593,1091709,1106002,1120365,1135189,1150322,1165166,1180208,1195702,1211274,1227107,1243189,1259366,1275622,1292134,1308826,1325661,1342741,1360027,1377359,1395131,1412814,1430881,1449311,1467800,1486319,1505077,1524204,1543487,1562791,1582242,1601729,1621583,1641561
1,1,4,5,8,9,10,11,12,12,14,15,22,22,29,41,48,51,53,57,63,68,77,86,94,104,115,125,134,142,149,155,165,172,186,202,213,221,236,246,260,276,299,315,329,347,356,373,387,410,437,461,481,502,531,555,584,607,639,672,697,728,759,796,828,865,897,933,966,1005,1048,1076,1106,1145,1185,1217,1266,1294,1344,1381,1429,1484,1538,1576,1637,1705,1774,1838,1902,1950,2008,2063,2119,2168,2218,2277,2342,2407,2481,2541,2600,2652,2713,2779,2855,2926,2994,3070,3140,3219,3278,3348,3420,3485,3549,3623,3687,3778,3846,3929,3997,4071,4149,4227,4304,4378,4471,4543,4641,4730,4809,4890,4971,5057,5153,5244,5337,5423,5509,5596,5705,5815,5924,6015,6109,6207,6316,6409,6526,6629,6754,6861,6969,7100,7217,7349,7478,7593,7739,7882,8006,8123,8248,8363,8492,8619,8759,8878,9013,9119,9245,9370,9485,9589,9731,9852,9971,10114,10257,10386,10518,10646,10794,10945,11070,11208,11358,11527,11675,11825,11990,12153,12316,12482,12640,12814,12994,13169,13377,13605,13803,13978,14173,14372,14603,14797,15047,15266,15504,15711,15933,16182,16433,16674,16908,17156,17410,17675,17926,18195,18458,18740,18977,19281,19566,19852,20128,20448,20747,21026,21347,21682,21962,22238,22554,22884,23238,23572,23905,24250,24598,24946,25286,25648,25999,26357,26702,27039,27397,27792,28168,28526,28889,29254,29598,29939,30295,30673,31050,31455,31851,32226,32630,33058,33438,33860,34303,34686,35116,35553,35987,36436,36850,37302,37753,38219,38679,39140,39554,40010,40445,40911,41400,41884,42389,42876,43335,43834,44354,44834,45364,45888,46411,46938,47484,48013,48612,49159,49726,50321,50911,51523,52123,52759,53426,54089,54743,55362,56028,56685,57326,57998,58661,59343,60037,60700,61435,62157,62872,63620,64314,65077,65803,66561,67313,68127,68963,69736,70569,71456,72290,73173,74100,75025,75871,76706,77615,78531,79429,80381,81334,82237,83175,84118,85111,86070,87162,88183,89207,90188,91196,92333,93386,94426,95522,96672,97842,98974,100143,101348,102509,103699,104892,106029,107278,108491,109776,111042,112231,113512,114870,116195,117574,119005,120408,121851,123365,124936,126524,128069,129617,131176,132820,134486,136058,137796,139492,141271,143081,144877,146620,148433,150245,152083,153961,155974,157860,159806,161806,163787,165841,167923,169966,172073,174271,176498,178710,180870,183084,185346,187591,189903,192328,194643,197017,199578,201936,204409,206945,209511,212221,214816,217476,220174,222986,225682,228444,231314,234183,237092,239962,242901,245937,249029,252110,255284,258508,261672,265000,268266,271636,275103,278601,282064,285575,289262,292999,296728,300397,304139,308037,311875,315813,319689,323702,327721,331730,335845,339976,344202,348559,352882,357216,361672,366029,370499,375110,379766,384556,389284,394241,399196,404234,409509,414940,420058,425511,430947,436534,441968,447535,453202,459064,464965,470884,476841,482886,489071,495451,501749,508273,514844,521444,528080,534903,541739,548735
1,1,1,1,1,1,1,1,1,3,4,5,6,8,11,13,15,17,17,17,20,22,24,30,33,37,44,46,50,53,57,60,65,71,76,80,87,91,95,100,115,124,131,148,158,165,175,183,200,206,211,225,234,241,253,263,277,286,300,315,325,344,354,359,379,384,398,406,421,429,448,461,475,486,503,513,526,541,562,575,583,600,617,631,647,671,693,709,736,752,775,797,813,848,879,911,936,985,1019,1051,1090,1132,1184,1228,1257,1286,1325,1379,1433,1474,1508,1559,1600,1641,1687,1737,1785,1841,1902,1955,1988,2034,2073,2119,2159,2204,2256,2294,2333,2369,2412,2452,2499,2539,2570,2616,2653,2687,2732,2795,2848,2896,2951,2996,3054,3101,3149,3196,3261,3329,3383,3436,3499,3562,3625,3695,3761,3819,3894,3974,4061,4140,4199,4276,4359,4437,4517,4589,4672,4746,4824,4914,4994,5051,5127,5220,5318,5413,5505,5609,5725,5824,5946,6040,6154,6280,6401,6522,6637,6756,6866,6978,7097,7229,7372,7499,7638,7775,7900,8031,8170,8319,8467,8599,8742,8889,9030,9192,9345,9523,9697,9860,10016,10175,10353,10539,10721,10881,11076,11272,11458,11665,11835,12024,12217,12390,12633,12859,13076,13288,13539,13759,13993,14191,14409,14613,14846,15070,15307,15546,15785,16032,16256,16507,16734,16974,17201,17437,17662,17882,18109,18347,18604,18838,19106,19347,19596,19846,20088,20335,20619,20895,21148,21428,21727,22000,22306,22623,22928,23239,23543,23858,24152,24463,24790,25101,25418,25780,26134,26464,26802,27147,27535,27895,28295,28694,29051,29420,29829,30221,30642,31073,31547,32007,32506,33015,33494,33946,34461,35004,35489,36043,36555,37121,37729,38293,38929,39592,40221,40876,41546,42226,42883,43526,44186,44899,45562,46279,46963,47652,48433,49172,49936,50735,51535,52320,53096,53886,54744,55572,56386,57288,58187,59056,60018,60956,61933,62908,63962,65042,66136,67190,68272,69401,70517,71670,72869,73972,75249,76401,77642,78924,80219,81544,82896,84168,85523,86880,88281,89666,91092,92640,94156,95606,97132,98700,100265,101866,103504,105139,106744,108419,110148,111908,113656,115471,117266,119060,120935,122830,124732,126645,128617,130544,132524,134585,136616,138763,140867,143007,145183,147435,149648,151932,154205,156654,159122,161605,164069,166503,169035,171592,174308,176908,179583,182300,185011,187779,190613,193477,196392,199315,202230,205205,208390,211468,214693,217822,220986,224345,227558,230844,234302,237830,241366,245015,248717,252323,256056,259808,263642,267402,271261,275175,279277,283369,287431,291544,295714,299931,304335,308852,313210,317603,322189,326606,331197,335923,340655,345355,350106,355129,360115,365266,370483,375780,381105,386441,391965,397538,403135,408755,414560,420422,426386,432339,438353,444443,450693,457012,463187,469701,476230,482902,489824,496586,503546,510477,517372,524552,531961,539228,546534,553941,561435,568889,576527,584380,592260,600203,608131,616243,624464,632699,641126,649551,657780
1,1,1,1,1,1,4,4,5,8,10,10,11,13,19,24,26,30,40,50,60,69,69,77,84,92,105,116,129,141,150,163,178,188,199,206,217,225,232,244,254,259,266,275,282,292,300,305,320,331,336,344,354,376,386,401,411,423,431,440,454,467,481,506,519,538,558,576,601,624,647,673,696,725,758,796,827,870,911,956,1002,1061,1106,1150,1200,1253,1314,1373,1422,1490,1551,1609,1658,1735,1805,1857,1917,1986,2051,2116,2167,2222,2280,2339,2408,2486,2569,2614,2684,2747,2815,2862,2941,2994,3052,3089,3147,3200,3248,3302,3356,3413,3476,3551,3631,3709,3786,3849,3936,4008,4099,4178,4265,4355,4452,4536,4646,4764,4860,4960,5061,5179,5314,5428,5552,5667,5793,5936,6075,6203,6342,6493,6649,6761,6888,7047,7188,7332,7488,7616,7759,7911,8074,8251,8397,8558,8711,8870,9040,9198,9382,9559,9728,9897,10089,10229,10407,10587,10788,10975,11158,11367,11576,11775,11984,12198,12429,12636,12847,13073,13286,13514,13747,13947,14189,14406,14625,14874,15131,15362,15611,15857,16116,16380,16654,16945,17207,17500,17762,18069,18343,18613,18912,19225,19530,19849,20140,20467,20832,21155,21463,21810,22140,22510,22884,23252,23581,24006,24366,24751,25126,25532,25882,26262,26651,27047,27449,27841,28238,28653,29125,29565,29996,30425,30862,31320,31803,32268,32707,33184,33643,34129,34632,35102,35608,36131,36621,37164,37691,38224,38755,39301,39874,40428,41024,41610,42181,42784,43382,44004,44637,45279,45961,46599,47286,47935,48655,49395,50139,50906,51656,52367,53147,53904,54730,55557,56398,57220,58017,58874,59793,60690,61672,62583,63613,64603,65527,66545,67549,68618,69669,70794,71932,73078,74274,75402,76630,77800,78964,80312,81659,83001,84383,85784,87235,88665,90104,91589,93052,94630,96118,97645,99237,100777,102387,104040,105729,107444,109111,110905,112609,114452,116265,118064,119947,121814,123755,125597,127489,129485,131570,133711,135915,138083,140180,142322,144539,146721,148917,151186,153564,155981,158351,160679,163086,165571,168110,170645,173196,175792,178400,181225,183997,186762,189577,192311,195209,198199,201180,204133,207161,210312,213428,216719,219963,223218,226547,229867,233330,236817,240195,243632,247110,250700,254327,257914,261541,265271,269080,272923,276720,280625,284583,288639,292763,296978,301154,305213,309436,313893,318423,322925,327382,332084,336723,341504,346149,351067,355893,360775,365804,370860,375950,381260,386530,391805,397176,402666,408231,413887,419540,425264,431029,436952,443060,449170,455459,461768,468297,474861,481366,487913,494682,501461,508451,515552,522701,529948,537303,544795,552547,560229,568031,575953,583908,591988,600126,608562,616976,625469,634079,642645,651513,660530,669709,679069,688521,698182,707876,717701,727637,737705,748053,758361,768911,779623,790372,801204,812308,823428,834783,846384,857915,869667,881384,893432,905290,917733,930093,942817,955455,968489,981510,994784,1008061,1021719,1035207,1049207,1063162,1077470,1091801,1106057,1120582,1134997,1149857,1164894,1180015
1,1,1,2,2,2,2,2,3,5,6,7,7,7,7,7,8,8,9,9,9,11,12,13,14,19,20,23,25,30,30,37,40,43,47,53,56,61,67,70,79,90,100,109,125,139,153,167,180,197,210,226,238,250,260,269,280,296,310,323,337,350,360,370,379,389,400,413,436,449,458,477,498,516,531,558,576,605,633,665,688,712,744,772,810,840,885,914,956,984,1012,1053,1092,1140,1183,1218,1257,1296,1320,1359,1387,1419,1445,1484,1526,1565,1605,1642,1679,1706,1741,1782,1820,1853,1896,1928,1956,1996,2044,2090,2141,2192,2238,2291,2336,2394,2451,2495,2549,2602,2652,2706,2754,2810,2855,2916,2976,3034,3077,3138,3193,3250,3303,3374,3444,3516,3586,3644,3704,3752,3819,3885,3948,4010,4088,4152,4234,4313,4390,4462,4540,4623,4711,4798,4880,4990,5073,5168,5261,5363,5461,5572,5673,5775,5892,6009,6137,6242,6367,6489,6614,6759,6886,6999,7111,7226,7351,7464,7581,7726,7842,7990,8125,8245,8372,8493,8623,8750,8914,9038,9175,9325,9467,9617,9769,9925,10074,10213,10368,10523,10672,10833,10999,11163,11347,11539,11715,11900,12098,12302,12485,12655,12850,13061,13255,13465,13680,13905,14131,14368,14585,14829,15034,15312,15556,15796,16057,16305,16538,16816,17081,17326,17570,17839,18111,18349,18609,18877,19149,19441,19718,20003,20321,20598,20869,21155,21472,21771,22074,22402,22716,23042,23355,23668,23987,24303,24626,24934,25281,25632,25950,26329,26681,27028,27378,27744,28121,28480,28825,29186,29593,29977,30374,30791,31213,31657,32090,32495,32885,33326,33765,34206,34691,35168,35643,36142,36627,37172,37685,38185,38760,39354,39911,40449,41004,41579,42162,42768,43410,44033,44692,45333,45968,46645,47372,48055,48742,49435,50185,50985,51737,52495,53241,53964,54788,55622,56387,57140,57968,58785,59626,60486,61373,62221,63157,64071,64944,65900,66775,67733,68677,69654,70634,71707,72739,73761,74791,75813,76928,78063,79196,80293,81360,82413,83621,84777,85979,87216,88352,89559,90744,91969,93143,94392,95676,96958,98219,99610,101032,102444,103857,105299,106780,108296,109793,111299,112820,114360,115904,117499,119180,120920,122619,124393,126114,127887,129668,131485,133323,135186,137027,138915,140860,142758,144677,146673,148753,150907,152976,155055,157209,159427,161619,163860,166205,168568,170922,173376,175773,178284,180872,183366,185998,188610,191348,194059,196800,199512,202415,205307,208281,211166,214243,217351,220460,223578,226701,229892,233050,236400,239695,243090,246477,249904,253452,256933,260396,264088,267843,271564,275344,279342,283168,286998,290968,295017,299119,303145,307402,311676,316090,320535,324957,329428,333910,338626,343313,348045,352964,357819,362746,367761,372861,377990,383294,388630,393936,399310,404795,410305,415890,421560,427358,433167,439145,444912,450943,457139,463204,469586,475978,482527,489159,495841,502358,509244,516186,523339,530436,537814,545175,552510,560106,567667,575348,583081,591148
1,1,1,1,1,1,3,5,7,8,8,9,10,11,18,26,29,36,43,56,63,69,76,87,99,104,113,128,136,145,155,161,170,181,191,195,202,211,214,218,230,232,245,252,253,255,267,274,284,289,297,303,310,319,331,335,344,354,358,370,383,392,398,405,412,431,450,468,483,495,511,531,549,571,603,631,660,689,723,755,796,835,861,895,928,952,982,1015,1051,1095,1128,1161,1192,1214,1252,1290,1332,1369,1406,1441,1481,1522,1561,1599,1649,1682,1722,1763,1802,1843,1904,1948,1986,2034,2083,2132,2178,2226,2264,2301,2348,2404,2452,2502,2544,2584,2631,2665,2705,2755,2794,2839,2885,2933,2977,3023,3064,3113,3160,3216,3255,3299,3322,3344,3388,3427,3471,3507,3542,3602,3648,3682,3726,3765,3811,3849,3897,3945,3983,4027,4068,4110,4166,4230,4284,4327,4378,4433,4480,4539,4596,4626,4670,4714,4759,4818,4865,4927,4968,5007,5067,5118,5180,5220,5275,5320,5376,5421,5472,5533,5597,5654,5703,5760,5802,5864,5914,5978,6037,6091,6155,6201,6273,6327,6404,6472,6549,6620,6687,6765,6834,6899,6970,7027,7104,7167,7262,7326,7405,7473,7549,7641,7708,7792,7876,7970,8049,8135,8223,8319,8391,8472,8560,8648,8739,8847,8972,9098,9209,9315,9451,9556,9691,9813,9943,10082,10228,10379,10522,10669,10817,10959,11134,11303,11492,11660,11816,11966,12126,12286,12468,12648,12808,12985,13154,13332,13521,13704,13909,14105,14287,14468,14658,14837,15003,15204,15385,15576,15767,15953,16143,16354,16517,16699,16910,17123,17337,17545,17790,18001,18205,18391,18590,18797,19033,19275,19495,19741,19965,20201,20456,20702,20951,21201,21452,21709,21952,22198,22432,22689,22951,23220,23473,23756,24055,24343,24632,24939,25263,25595,25913,26238,26596,26959,27322,27660,28019,28400,28782,29157,29550,29949,30407,30806,31220,31635,32053,32469,32866,33347,33762,34245,34672,35082,35570,36076,36541,37020,37529,38048,38548,39047,39580,40112,40630,41168,41748,42345,42946,43503,44113,44712,45308,45877,46495,47119,47739,48441,49131,49784,50454,51130,51871,52575,53295,54048,54784,55532,56286,57114,57926,58759,59547,60371,61253,62128,62988,63884,64787,65713,66674,67593,68545,69544,70507,71504,72515,73592,74692,75808,76935,78092,79209,80355,81602,82802,83985,85205,86460,87734,89063,90360,91658,93058,94422,95766,97134,98579,100015,101455,102923,104419,105960,107523,109067,110665,112212,113901,115567,117212,118876,120577,122295,124045,125765,127522,129299,131038,132896,134776,136650,138516,140397,142270,144189,146240,148200,150247,152259,154362,156511,158695,160861,163061,165339,167570,169770,172041,174319,176647,179001,181373,183752,186171,188589,191143,193671,196249,198882,201410,204103,206801,209572,212445,215229,218124,221010,223946,226973,230099,233206,236421,239759,243047,246320,249636,253050,256515,260063,263618,267127,270684,274434,278284,282213,286142,290026
1,1,1,1,1,1,2,3,6,8,9,9,12,13,16,18,20,23,25,29,32,35,40,50,55,60,69,79,94,104,112,124,136,147,165,182,204,219,237,249,266,276,290,307,337,364,396,428,462,496,525,553,582,614,639,668,701,730,757,786,819,867,906,951,990,1010,1044,1077,1112,1157,1196,1234,1257,1291,1317,1361,1405,1439,1482,1523,1571,1612,1647,1694,1735,1782,1824,1864,1907,1959,2006,2052,2094,2155,2202,2249,2306,2359,2419,2470,2525,2560,2615,2661,2724,2780,2836,2890,2929,2984,3034,3093,3140,3198,3249,3302,3352,3393,3446,3488,3558,3604,3659,3688,3760,3818,3866,3914,3956,4018,4095,4158,4206,4265,4327,4399,4454,4523,4589,4667,4727,4811,4878,4964,5039,5140,5230,5311,5396,5479,5556,5627,5712,5812,5917,5993,6081,6185,6276,6383,6497,6587,6690,6803,6906,7011,7123,7224,7333,7427,7516,7651,7785,7894,8053,8177,8319,8440,8551,8682,8794,8911,9032,9146,9277,9379,9500,9616,9729,9863,9981,10106,10233,10346,10452,10573,10672,10788,10898,10996,11111,11242,11349,11469,11580,11706,11839,11958,12063,12193,12315,12429,12554,12670,12781,12908,13035,13161,13285,13393,13507,13608,13723,13836,13952,14059,14190,14316,14413,14549,14667,14796,14933,15043,15182,15298,15426,15594,15725,15887,16029,16174,16336,16509,16663,16819,17028,17208,17353,17527,17709,17907,18105,18290,18479,18645,18854,19082,19294,19512,19701,19951,20212,20475,20706,20959,21217,21450,21690,21924,22186,22444,22707,22974,23265,23533,23808,24087,24366,24649,24965,25237,25542,25859,26198,26497,26820,27120,27439,27775,28099,28445,28766,29128,29499,29849,30188,30578,30968,31301,31660,32052,32430,32788,33182,33590,34004,34400,34826,35222,35620,36036,36484,36910,37396,37857,38297,38727,39220,39680,40174,40631,41124,41612,42082,42579,43136,43640,44219,44795,45407,45990,46570,47161,47781,48401,49048,49681,50320,51012,51707,52406,53097,53802,54572,55371,56121,56888,57695,58471,59316,60138,60981,61829,62669,63581,64498,65350,66283,67187,68143,69117,70083,71047,72042,72984,74025,75052,76088,77153,78263,79348,80477,81626,82762,83856,85021,86207,87335,88518,89722,90903,92086,93351,94639,96011,97337,98665,99921,101273,102652,104010,105428,106882,108373,109903,111393,112857,114359,115950,117521,119147,120909,122620,124289,125991,127678,129424,131168,132990,134787,136597,138525,140432,142360,144222,146228,148133,150108,152105,154178,156301,158447,160602,162768,165038,167319,169572,171909,174276,176570,179044,181441,183881,186349,188757,191361,193875,196381,198983,201611,204318,207101,209799,212525,215237,218078,220912,223788,226721,229689,232717,235760,238764,241827,244869,247966,251250,254457,257738,261069,264440,267798,271214,274635,278076,281540,285188,288797,292479,296205,300051,303972,307886,311992,315947,320179,324313,328561,332948,337372,341733,346233,350761,355539,360238,365054,369744,374708,379557,384578,389651,394877,399972,405366,410848,416314
1,1,1,1,1,1,1,3,5,6,8,11,11,11,12,14,16,18,21,21,25,29,35,40,43,49,52,66,75,79,84,93,110,114,119,128,137,146,151,156,163,169,179,187,194,197,205,211,214,219,225,228,235,240,245,251,254,260,268,276,281,286,290,299,307,313,319,325,332,336,353,364,371,377,379,385,392,399,412,429,447,456,473,479,493,509,522,529,545,550,565,585,608,624,640,667,684,703,716,735,752,773,784,807,827,858,883,913,936,953,978,1012,1024,1049,1075,1106,1125,1153,1176,1206,1238,1264,1294,1323,1363,1398,1434,1473,1499,1546,1585,1632,1670,1715,1765,1816,1872,1931,1979,2039,2103,2169,2232,2289,2343,2421,2489,2566,2654,2725,2798,2879,2972,3055,3142,3234,3327,3423,3520,3630,3733,3828,3934,4029,4122,4227,4318,4433,4544,4643,4740,4846,4962,5075,5200,5318,5429,5570,5705,5821,5960,6094,6239,6392,6546,6692,6848,6985,7117,7277,7426,7553,7707,7860,8004,8150,8291,8445,8578,8748,8887,9035,9187,9327,9493,9658,9830,9981,10118,10270,10429,10574,10735,10901,11067,11249,11408,11570,11728,11910,12094,12298,12500,12729,12928,13131,13348,13567,13778,13983,14220,14438,14640,14861,15066,15315,15562,15787,16022,16235,16460,16698,16925,17125,17358,17575,17799,18037,18270,18480,18698,18936,19169,19394,19629,19898,20164,20423,20654,20917,21154,21397,21660,21929,22167,22437,22702,22958,23237,23531,23818,24141,24457,24774,25098,25415,25766,26100,26465,26808,27198,27589,27969,28363,28751,29189,29638,30091,30516,30946,31385,31854,32299,32740,33144,33607,34079,34587,35065,35557,36082,36594,37105,37628,38121,38644,39207,39728,40273,40789,41311,41850,42368,42936,43519,44098,44705,45363,45999,46662,47332,48070,48803,49575,50354,51101,51831,52600,53393,54202,55025,55882,56755,57587,58397,59257,60157,61031,61953,62851,63761,64676,65579,66443,67358,68215,69073,70036,70955,71885,72782,73712,74661,75597,76569,77538,78557,79583,80618,81672,82688,83750,84874,85978,87178,88337,89527,90703,91897,93168,94444,95650,96902,98241,99553,100888,102257,103656,105016,106366,107741,109202,110708,112210,113695,115219,116711,118374,120022,121742,123410,125154,126869,128616,130415,132220,134003,135945,137760,139688,141638,143522,145529,147582,149653,151700,153808,155864,158146,160351,162728,164995,167344,169701,172154,174707,177173,179746,182378,185011,187673,190434,193253,196074,199009,201974,204929,208103,211092,214223,217422,220571,223820,227139,230536,233911,237373,240811,244422,248022,251574,255296,259127,262952,266783,270760,274703,278662,282806,286982,291040,295161,299330,303574,307889,312277,316624,321072,325649,330320,335062,339803,344672,349515,354317,359295,364319,369347,374528,379639,384764,390022,395380,400765,406462,412072,417865,423650,429550,435533,441652,447823,454096,460414,466956,473261,479789,486434,493206,500116,507056,513973,521098,528098,535489,542768,550197
1,1,1,1,1,1,2,3,3,4,6,7,8,11,13,13,14,14,17,19,26,26,27,27,29,35,37,40,43,44,47,48,54,58,66,71,79,84,89,95,101,106,115,122,129,137,144,152,159,168,176,183,192,196,204,210,218,224,232,237,243,251,261,272,282,294,306,316,328,335,345,356,375,389,397,410,420,449,467,487,502,513,527,544,564,585,599,614,630,656,675,707,734,748,768,790,820,838,866,878,910,933,957,975,993,1020,1047,1076,1105,1125,1153,1188,1231,1252,1277,1314,1356,1397,1423,1466,1504,1526,1560,1600,1636,1679,1718,1759,1800,1831,1889,1940,1990,2029,2075,2115,2164,2218,2260,2316,2381,2436,2480,2529,2571,2620,2680,2742,2798,2866,2926,3002,3057,3123,3190,3241,3300,3358,3421,3498,3563,3638,3726,3792,3875,3945,4012,4076,4146,4215,4295,4367,4452,4528,4610,4681,4748,4831,4911,4975,5067,5155,5261,5358,5451,5555,5664,5770,5880,5988,6118,6239,6375,6508,6660,6816,6969,7138,7322,7476,7612,7777,7948,8121,8337,8545,8738,8913,9092,9281,9477,9671,9857,10050,10281,10475,10684,10892,11121,11356,11601,11851,12138,12397,12660,12929,13217,13507,13802,14147,14461,14781,15113,15421,15739,16085,16415,16801,17153,17534,17911,18316,18696,19156,19558,19938,20333,20759,21203,21648,22094,22538,23006,23475,23946,24445,24971,25518,26067,26629,27173,27719,28266,28820,29408,29988,30614,31179,31774,32364,32998,33629,34230,34874,35505,36192,36921,37583,38308,38967,39675,40384,41109,41827,42567,43329,44101,44872,45670,46488,47235,48023,48819,49628,50530,51370,52260,53137,54070,54935,55828,56729,57669,58575,59494,60435,61386,62330,63287,64260,65250,66277,67366,68352,69431,70466,71561,72696,73752,74870,75985,77132,78293,79527,80711,81881,83103,84348,85641,86976,88297,89592,90999,92371,93813,95284,96789,98273,99764,101261,102818,104349,105890,107495,109172,110843,112513,114225,115984,117691,119432,121297,123148,125053,126927,128881,130778,132769,134825,136838,138864,140973,143160,145294,147466,149604,151790,153893,156147,158397,160858,163201,165639,168072,170672,173220,175759,178282,180945,183566,186340,189112,191952,194710,197619,200531,203560,206485,209560,212780,215980,219287,222721,226164,229576,233062,236644,240301,243936,247624,251507,255339,259131,263071,267064,271201,275317,279438,283697,288053,292504,296969,301495,306105,310744,315442,320270,325086,329936,335038,340072,345194,350361,355589,360942,366398,371971,377563,383370,389201,395124,401053,407048,413132,419257,425453,431683,437952,444524,451016,457644,464278,471105,477842,484740,491714,498850,506255,513485,521115,528648,536393,544226,552094,560019,568073,576037,584046,592334,600585,608862,617249,625905,634546,643106,652187,661156,670243,679377,688468,697686,707168,716603,726077,735760,745654,755418,765602,775699,786010,796259,806919,817762,828858,839903,851129,862427,874088,885667,897452,909507,921480,933666,946100,958556,971087,983919
1,1,1,3,4,6,7,8,8,10,10,13,16,20,31,35,38,45,51,56,62,66,70,74,83,87,94,100,103,108,118,122,133,144,151,160,174,176,184,190,203,214,225,245,254,261,279,288,298,310,328,340,345,366,386,398,416,435,456,476,491,512,534,550,572,603,621,644,666,697,728,758,785,803,827,852,879,914,954,989,1025,1064,1097,1126,1172,1207,1248,1288,1342,1392,1439,1483,1530,1582,1618,1653,1690,1728,1765,1802,1855,1902,1937,1980,2022,2060,2102,2143,2201,2250,2318,2362,2419,2468,2508,2563,2615,2698,2773,2838,2905,2957,3017,3066,3136,3223,3289,3366,3456,3543,3620,3703,3795,3872,3978,4053,4154,4262,4356,4450,4546,4674,4796,4927,5051,5190,5325,5467,5597,5729,5870,5995,6122,6260,6406,6536,6684,6827,6971,7107,7261,7406,7533,7681,7840,7993,8159,8303,8464,8602,8729,8891,9042,9178,9345,9512,9663,9808,9959,10129,10282,10428,10585,10754,10911,11086,11272,11469,11641,11804,11988,12185,12392,12589,12782,12985,13185,13369,13537,13753,13964,14192,14397,14638,14876,15142,15394,15636,15864,16123,16379,16666,16923,17225,17547,17845,18158,18458,18794,19133,19506,19842,20197,20553,20898,21244,21583,21961,22349,22737,23124,23518,23938,24327,24705,25102,25503,25889,26282,26728,27142,27583,28025,28458,28895,29345,29792,30245,30726,31172,31676,32160,32647,33197,33706,34266,34753,35300,35867,36455,36977,37504,38033,38654,39282,39869,40444,41029,41626,42257,42921,43561,44231,44909,45612,46274,46961,47695,48410,49187,49945,50704,51471,52262,53053,53903,54733,55588,56394,57268,58165,59068,59992,61016,61978,62948,63959,64971,65977,67019,68077,69163,70302,71450,72626,73801,74960,76224,77462,78737,80043,81273,82545,83954,85331,86724,88142,89587,91024,92437,93998,95521,97048,98712,100294,101925,103610,105323,106976,108755,110532,112371,114143,115966,117909,119845,121836,123871,125892,128014,130017,132195,134402,136620,138814,141105,143383,145676,148150,150571,153103,155649,158250,160921,163551,166145,168800,171606,174385,177204,180053,183079,186213,189349,192523,195842,199035,202278,205570,208989,212400,215902,219405,222888,226401,229901,233517,237244,240974,244652,248419,252199,256090,260155,264162,268277,272391,276540,280805,285114,289585,294004,298476,302962,307441,312079,316883,321711,326556,331491,336507,341631,346657,351669,356861,362103,367495,372949,378573,384174,389821,395642,401563,407402,413470,419444,425591,431827,438230,444761,451338,457858,464438,471173,477941,484702,491564,498603,505719,512906,520202,527580,535092,542465,550018,557671,565393,573183,581263,589214,597304,605472,613892,622404,631142,639828,648686,657671,666657,675843,685082,694462,703855,713472,723155,732994,742954,752833,763176,773383,783730,794217,804767,815271,826100,836975,848204,859418,870649,882082,893294,905018,916683,928724,940819,953093,965344,977983,990688,1003454,1016422,1029409,1042560,1056092,1069778,1083476,1097364,1111198,1125414,1139611,1154235,1168974,1184042,1198832,1213968,1229169,1244587
1,1,1,1,1,1,2,2,3,7,8,11,12,15,17,21,25,28,35,41,48,52,54,57,69,75,82,92,96,102,107,112,118,122,133,144,152,161,171,181,194,202,216,228,236,245,255,269,283,305,319,337,352,366,377,393,407,423,438,450,467,490,507,530,561,573,592,611,630,643,651,664,680,686,700,713,724,735,745,760,771,776,784,794,810,816,829,841,853,864,879,894,911,926,935,948,963,977,996,1011,1040,1059,1080,1099,1123,1148,1170,1197,1226,1258,1290,1324,1350,1388,1411,1447,1476,1511,1553,1589,1626,1658,1704,1739,1789,1839,1874,1920,1965,2011,2053,2105,2159,2195,2250,2291,2341,2387,2434,2488,2553,2614,2660,2711,2772,2853,2915,2992,3058,3125,3195,3285,3346,3408,3485,3563,3640,3717,3784,3854,3919,3993,4073,4146,4222,4292,4365,4447,4545,4628,4706,4786,4867,4938,5039,5136,5249,5343,5439,5540,5642,5755,5855,5958,6080,6200,6322,6451,6574,6717,6886,7047,7209,7355,7507,7641,7786,7934,8093,8263,8423,8583,8769,8934,9114,9285,9469,9633,9824,10009,10203,10389,10570,10754,10968,11212,11418,11668,11893,12125,12331,12546,12809,13040,13263,13492,13732,13990,14255,14503,14748,14999,15220,15467,15734,15985,16239,16514,16809,17061,17337,17610,17858,18135,18397,18677,18974,19248,19534,19823,20140,20450,20760,21095,21431,21767,22056,22371,22714,23040,23394,23743,24111,24472,24864,25226,25651,26085,26474,26884,27292,27678,28124,28547,29013,29471,29898,30356,30787,31255,31717,32194,32650,33098,33586,34071,34561,35024,35504,35980,36461,36946,37425,37882,38346,38889,39446,39975,40524,41084,41592,42148,42715,43329,43926,44548,45195,45863,46522,47227,47906,48561,49269,49980,50763,51508,52280,52979,53808,54671,55524,56368,57193,57997,58858,59727,60652,61564,62484,63422,64355,65361,66370,67380,68361,69396,70493,71598,72714,73855,74992,76165,77252,78402,79557,80786,81922,83167,84464,85812,87124,88407,89713,91049,92420,93854,95291,96787,98225,99748,101258,102820,104412,106050,107613,109294,110945,112574,114273,115925,117638,119384,121099,122843,124604,126359,128145,129997,131881,133769,135701,137682,139635,141643,143624,145736,147773,149922,152059,154239,156482,158754,161043,163412,165820,168240,170716,173240,175830,178376,180997,183694,186339,189151,191840,194668,197517,200463,203342,206270,209201,212179,215110,218185,221252,224350,227488,230712,234073,237459,240750,244132,247642,251200,254688,258293,261885,265691,269464,273093,276852,280688,284624,288638,292771,296841,300915,304956,309232,313525,317821,322161,326566,330923,335436,340082,344608,349321,353946,358735,363606,368539,373438,378504,383637,388824,394175,399509,404983,410539,416119,421906,427624,433399,439420,445323,451370,457438,463578,469948,476342,482782,489202,495900,502377,508946,515694,522541,529295,536110,543006,549961,557115,564454,571685,578909,586273,593775,601277,609041,616824,624741,632745,640757,648830,657078,665583
1,1,1,1,3,4,4,5,6,9,9,12,13,18,19,19,19,20,20,20,21,24,24,27,29,30,31,31,34,35,37,40,43,46,48,50,51,58,62,68,72,76,81,88,92,96,106,115,120,127,132,143,155,156,163,175,184,198,204,210,212,217,228,233,236,248,251,254,263,271,277,294,307,316,322,331,342,351,362,371,383,405,422,440,461,477,494,511,531,540,553,564,582,606,625,644,662,684,693,708,730,751,772,782,797,812,829,844,864,881,895,912,926,943,972,1001,1043,1060,1092,1119,1155,1189,1229,1257,1300,1327,1368,1408,1449,1499,1551,1601,1635,1673,1716,1784,1835,1900,1955,2012,2064,2115,2161,2219,2267,2333,2394,2458,2520,2576,2628,2700,2759,2833,2905,2984,3054,3140,3233,3326,3441,3544,3662,3765,3878,3979,4092,4188,4287,4405,4519,4625,4774,4899,5035,5169,5312,5455,5574,5717,5855,5977,6111,6246,6378,6510,6609,6729,6859,7002,7144,7285,7414,7543,7689,7827,7971,8106,8232,8374,8527,8680,8815,8955,9096,9256,9411,9586,9757,9936,10108,10280,10442,10588,10761,10931,11096,11251,11409,11561,11723,11911,12060,12251,12415,12579,12729,12882,13039,13205,13388,13551,13721,13898,14090,14286,14480,14672,14888,15094,15306,15574,15771,15992,16217,16455,16679,16919,17144,17349,17614,17859,18144,18430,18715,18991,19282,19559,19807,20085,20378,20646,20937,21217,21495,21788,22100,22385,22728,23044,23347,23679,24005,24340,24680,24994,25317,25664,25990,26321,26672,27029,27380,27738,28081,28377,28724,29085,29456,29851,30236,30580,30929,31357,31745,32115,32497,32892,33272,33661,34051,34489,34908,35370,35786,36247,36691,37116,37573,38072,38601,39075,39543,40077,40610,41133,41644,42175,42738,43334,43925,44478,45079,45687,46258,46901,47515,48132,48795,49423,50101,50759,51422,52099,52809,53509,54192,54873,55592,56327,56996,57778,58529,59259,60047,60887,61711,62449,63266,64058,64839,65687,66625,67504,68390,69308,70214,71138,72098,73064,74030,75027,76050,77082,78165,79233,80320,81401,82489,83596,84677,85765,86898,88023,89231,90343,91520,92663,93831,94969,96111,97266,98479,99723,100982,102241,103514,104835,106197,107546,108934,110325,111738,113120,114553,116100,117654,119201,120838,122478,124115,125755,127420,129161,130854,132654,134449,136254,138039,139880,141838,143748,145745,147715,149791,151731,153756,155856,157935,160021,162119,164256,166532,168710,170969,173205,175574,177871,180241,182601,185010,187420,189839,192221,194760,197381,199993,202630,205353,208129,210978,213888,216761,219708,222679,225711,228816,231990,235280,238538,241866,245130,248382,251813,255164,258762,262310,265925,269629,273364,277233,281154,285078,289182,293345,297514,301618,306039,310490,314977,319430,324041,328669,333361,338239,343187,348145,353223,358328,363487,368715,373777,379244,384777,390294,395967,401554,407377,413153,418952,424982,431052,437102,443292,449383,455838,462384
1,1,1,2,5,6,7,11,15,18,18,19,25,34,38,50,60,71,77,85,96,110,121,133,147,156,169,176,182,192,203,212,219,229,238,254,266,277,282,293,303,311,317,326,342,351,364,380,389,405,425,443,456,470,491,511,529,548,575,597,613,641,649,669,698,722,745,774,801,830,855,883,911,931,951,988,1015,1046,1069,1102,1142,1180,1221,1255,1297,1342,1382,1427,1473,1521,1571,1623,1666,1725,1774,1820,1861,1936,2007,2079,2140,2199,2260,2331,2392,2459,2519,2594,2654,2730,2796,2857,2913,2989,3055,3118,3167,3225,3288,3343,3421,3489,3546,3626,3703,3802,3876,3953,4029,4097,4170,4264,4341,4426,4490,4563,4645,4720,4793,4871,4951,5026,5092,5173,5272,5362,5478,5561,5674,5775,5884,5978,6090,6213,6338,6457,6595,6701,6840,6978,7102,7227,7365,7497,7623,7759,7896,8060,8206,8333,8477,8612,8742,8875,9009,9148,9275,9408,9550,9714,9837,9959,10092,10227,10365,10498,10648,10812,10952,11082,11245,11427,11601,11772,11957,12138,12330,12503,12700,12890,13088,13283,13472,13672,13851,14040,14257,14475,14669,14873,15071,15243,15470,15705,15931,16162,16363,16586,16809,17008,17229,17453,17674,17933,18189,18459,18725,18997,19269,19526,19813,20080,20360,20685,20990,21321,21618,21912,22235,22546,22843,23195,23535,23900,24237,24630,24962,25326,25669,26009,26423,26774,27107,27475,27856,28233,28611,29008,29421,29835,30236,30618,31026,31429,31845,32246,32656,33079,33521,33949,34346,34779,35204,35662,36139,36592,37105,37614,38091,38597,39139,39676,40219,40730,41270,41857,42404,42931,43487,44104,44702,45342,45987,46611,47246,47928,48622,49328,50101,50804,51572,52291,53067,53822,54686,55468,56321,57168,58093,59031,59901,60830,61752,62748,63736,64730,65759,66820,67830,68870,69887,71010,72108,73214,74319,75476,76645,77776,78948,80155,81382,82606,83899,85194,86437,87782,89038,90356,91708,93044,94457,95875,97279,98642,100115,101570,103095,104629,106140,107666,109257,110878,112541,114101,115738,117404,119160,120863,122634,124491,126369,128162,129983,131782,133637,135509,137435,139298,141177,143144,145059,147002,149044,151154,153213,155259,157382,159549,161607,163828,166011,168180,170391,172636,174949,177270,179592,181966,184356,186758,189140,191692,194270,196818,199284,201894,204384,207006,209622,212400,215073,217891,220723,223561,226635,229576,232581,235682,238779,241853,244893,248113,251394,254795,258332,261864,265376,268848,272347,276001,279688,283510,287396,291185,295165,299163,303212,307304,311410,315749,320040,324257,328783,333240,337842,342507,347065,351694,356460,361254,366029,370989,375883,380938,386093,391197,396381,401618,406852,412219,417798,423263,428882,434496,440070,445745,451668,457535,463502,469546,475662,481813,488086,494413,500921,507341,513828,520373,527076,533803,540768,547461,554371,561430,568573,575633,582879,590306,597824,605409,613036,620775,628449,636243,644320,652531,660745,669128,677589,686019,694760,703435,712189,721032,730114,739433,748627
1,1,1,1,1,4,4,4,5,6,6,6,9,10,11,15,16,20,23,24,26,31,38,41,44,46,51,56,59,66,78,89,94,99,104,110,128,137,145,155,159,166,174,178,190,195,203,214,221,228,239,252,263,269,272,278,283,290,297,307,316,332,341,352,361,373,379,391,403,413,428,448,462,475,495,508,522,538,548,564,582,603,622,636,663,686,700,718,738,754,779,801,827,860,896,928,961,987,1020,1051,1094,1129,1176,1222,1261,1309,1352,1400,1444,1497,1547,1594,1636,1685,1738,1789,1838,1886,1937,1986,2041,2090,2140,2191,2241,2279,2330,2380,2437,2488,2537,2586,2636,2704,2780,2839,2893,2946,3009,3067,3141,3206,3274,3343,3426,3506,3582,3652,3738,3810,3899,3983,4048,4127,4206,4289,4352,4429,4514,4582,4648,4724,4805,4880,4938,5009,5085,5150,5238,5335,5409,5483,5558,5620,5686,5765,5843,5939,6019,6091,6176,6249,6348,6435,6500,6602,6692,6790,6904,7000,7103,7196,7298,7401,7510,7612,7718,7851,7962,8083,8208,8299,8419,8525,8663,8777,8898,9010,9123,9223,9332,9455,9579,9721,9844,9977,10099,10232,10364,10505,10626,10750,10897,11035,11210,11352,11506,11644,11785,11950,12097,12273,12426,12615,12772,12981,13184,13355,13583,13773,13969,14176,14378,14599,14826,15076,15308,15566,15820,16131,16404,16703,16991,17256,17567,17867,18162,18466,18770,19070,19401,19720,20014,20373,20706,21049,21393,21755,22112,22488,22890,23304,23734,24125,24527,24893,25305,25729,26125,26541,26961,27414,27926,28354,28830,29273,29772,30271,30725,31233,31739,32266,32769,33283,33766,34298,34827,35350,35888,36451,36997,37517,38061,38627,39216,39781,40382,41014,41572,42159,42730,43293,43856,44439,45035,45620,46216,46840,47471,48130,48787,49442,50136,50807,51568,52287,53043,53731,54475,55258,55981,56747,57506,58309,59155,59986,60805,61655,62445,63333,64231,65148,66081,66983,67900,68864,69794,70716,71669,72654,73690,74682,75765,76831,77916,79057,80152,81272,82416,83533,84694,85862,87037,88253,89428,90704,91930,93266,94573,95920,97192,98544,99985,101367,102713,104126,105568,107056,108506,110033,111544,113194,114751,116321,117869,119486,121117,122827,124597,126350,128152,129911,131781,133598,135507,137425,139438,141412,143291,145331,147380,149492,151592,153704,155833,157975,160187,162406,164642,166880,169123,171442,173731,176043,178471,180855,183304,185741,188193,190626,193097,195661,198276,200928,203644,206420,209143,211948,214774,217569,220422,223312,226253,229183,232203,235256,238398,241513,244723,247997,251330,254698,258124,261578,265119,268708,272333,276115,279799,283597,287426,291373,295388,299459,303552,307745,311953,316209,320638,325066,329530,334083,338829,343565,348332,353022,357645,362696,367626,372527,377551,382712,387809,392988,398194,403594,408842,414225,419617,425133,430860,436568,442376,448171,454145,459927,465942,472037,478460,484842,491314,497892,504517,511358,518284,525335,532590
1,1,1,1,1,1,2,4,7,7,8,13,20,24,29,34,41,49,54,65,75,84,96,105,122,140,156,167,188,201,222,233,253,275,289,312,325,344,352,373,386,398,415,428,446,456,467,475,490,495,504,513,527,543,554,562,576,591,603,621,635,653,675,701,719,733,755,769,797,813,842,856,879,906,935,967,999,1035,1060,1088,1110,1134,1165,1185,1206,1220,1254,1278,1301,1329,1350,1373,1389,1413,1435,1461,1482,1503,1525,1557,1579,1604,1627,1652,1675,1700,1719,1738,1775,1805,1840,1871,1904,1941,1972,1996,2040,2072,2113,2154,2211,2249,2301,2345,2385,2428,2471,2521,2571,2633,2680,2728,2765,2810,2846,2904,2948,2996,3063,3122,3196,3248,3307,3364,3420,3464,3524,3578,3634,3697,3762,3815,3873,3926,3968,4015,4076,4134,4191,4245,4289,4348,4416,4460,4530,4563,4604,4657,4706,4741,4790,4835,4873,4922,4966,5014,5055,5099,5137,5173,5216,5265,5301,5339,5387,5446,5500,5542,5607,5666,5731,5819,5883,5960,6027,6119,6201,6275,6342,6427,6514,6604,6690,6776,6851,6945,7011,7107,7202,7298,7406,7501,7587,7670,7783,7878,7985,8076,8172,8278,8377,8481,8580,8672,8776,8899,9023,9115,9227,9346,9458,9564,9688,9850,9981,10097,10226,10354,10474,10617,10761,10888,11019,11155,11294,11438,11571,11731,11853,11990,12111,12254,12413,12557,12690,12816,12965,13111,13256,13389,13549,13678,13822,13984,14115,14284,14434,14589,14737,14893,15040,15221,15390,15555,15721,15864,16030,16190,16364,16538,16709,16890,17063,17218,17384,17545,17709,17853,18017,18168,18344,18513,18675,18843,19001,19165,19320,19488,19667,19853,20013,20196,20374,20536,20708,20871,21052,21241,21430,21600,21779,21964,22142,22295,22441,22600,22773,22964,23151,23316,23483,23630,23796,23984,24166,24322,24507,24676,24859,25013,25187,25360,25530,25705,25873,26071,26259,26433,26606,26787,26973,27162,27375,27588,27792,27981,28180,28363,28542,28753,28924,29101,29291,29462,29652,29837,30020,30211,30417,30646,30875,31087,31313,31564,31803,32014,32219,32464,32709,32962,33218,33467,33706,33977,34221,34479,34719,35002,35306,35558,35834,36087,36380,36657,36987,37307,37575,37857,38132,38434,38764,39091,39411,39721,40066,40391,40773,41142,41533,41876,42238,42587,42971,43377,43804,44155,44569,44994,45403,45804,46226,46619,47064,47513,47967,48452,48909,49408,49873,50326,50794,51291,51788,52301,52828,53375,53906,54485,55051,55589,56228,56834,57402,58019,58635,59304,59962,60609,61294,62018,62714,63399,64193,64938,65663,66430,67181,67956,68833,69620,70389,71180,72088,72895,73723,74637,75512,76361,77290,78230,79189,80215,81164,82114,83147,84107,85115,86144,87201,88304,89367,90400,91519,92620,93739,94843,96019,97215,98367,99525,100698,101905,103156,104405,105644,106869,108112,109374,110727,112113,113480,114833,116197,117617,119017,120415,121827
1,1,1,1,1,2,3,5,5,6,7,8,8,8,8,11,13,14,16,18,19,21,22,25,32,39,50,57,65,78,84,90,107,118,135,146,154,167,183,193,204,217,228,240,254,272,281,306,325,343,355,380,395,419,442,469,486,515,533,564,591,612,639,674,707,740,769,799,837,878,923,956,1002,1036,1084,1118,1150,1189,1233,1265,1307,1354,1396,1439,1503,1556,1604,1649,1688,1736,1780,1839,1901,1955,2010,2093,2156,2221,2282,2358,2426,2490,2560,2635,2702,2785,2849,2928,2988,3057,3127,3207,3288,3359,3440,3505,3584,3661,3727,3781,3853,3920,4015,4102,4192,4282,4370,4468,4545,4624,4714,4809,4929,5020,5119,5211,5306,5427,5545,5666,5777,5908,6007,6143,6297,6422,6566,6706,6885,7061,7245,7404,7574,7758,7908,8096,8281,8469,8676,8903,9105,9330,9564,9775,10011,10212,10447,10676,10873,11129,11381,11627,11876,12118,12384,12669,12929,13204,13516,13774,14077,14352,14640,14931,15204,15490,15791,16083,16362,16655,16957,17257,17547,17849,18170,18483,18799,19090,19420,19726,20093,20406,20772,21113,21462,21808,22145,22496,22815,23213,23587,23945,24319,24752,25189,25644,26060,26536,26984,27447,27907,28387,28896,29350,29833,30360,30860,31330,31851,32310,32805,33325,33839,34432,34924,35482,36030,36590,37137,37702,38280,38803,39362,39912,40554,41144,41775,42410,43099,43771,44477,45156,45855,46617,47365,48139,48897,49739,50507,51333,52220,53065,53882,54712,55562,56489,57381,58393,59279,60296,61252,62258,63275,64294,65267,66224,67196,68179,69142,70201,71260,72307,73392,74454,75554,76668,77709,78814,80008,81194,82400,83647,84866,86104,87400,88782,90120,91508,92833,94268,95623,97121,98598,100156,101652,103155,104682,106258,107837,109493,111160,112826,114577,116337,118139,119906,121662,123501,125375,127303,129259,131289,133288,135328,137365,139515,141665,143898,146086,148376,150689,153092,155364,157736,160189,162716,165221,167814,170417,173001,175732,178441,181103,183840,186541,189346,192246,195282,198246,201222,204243,207243,210321,213532,216776,220114,223404,226665,230038,233498,236962,240545,244156,247652,251294,255034,258803,262662,266533,270579,274694,278711,282731,286925,291056,295193,299483,303648,308097,312476,317020,321734,326297,331062,335692,340576,345335,350251,355311,360342,365454,370505,375819,381260,386638,392117,397617,403263,408957,414766,420453,426576,432491,438654,444755,451009,457208,463593,470014,476537,483021,489628,496179,503044,509936,516959,524138,531253,538616,546093,553397,560675,568051,575777,583539,591293,599148,607265,615339,623685,632185,640577,649302,657959,666758,675639,684556,693604,702922,712252,721631,731065,740463,750077,760012,770142,780180,790516,800929,811314,822028,832689,843390,854612,865701,876911,888226,899902,911434,923110,934969,947006,959190,971528,983916,996478,1009156,1021768,1034754,1047988,1061352,1074763,1088369,1101903,1115682,1129649,1143629,1157836,1172246,1186787,1201631,1216649,1231686,1246802,1262305,1277901,1293465,1309284,1325481,1341548,1357843,1374317,1390846,1407781,1424950,1442212,1459720
1,1,1,1,1,1,1,1,3,3,6,8,8,9,11,14,14,14,14,14,14,16,16,21,27,30,35,43,49,56,61,68,75,76,81,92,107,123,138,147,156,164,173,185,198,204,215,222,237,251,265,274,285,295,309,317,328,343,350,362,372,383,393,412,424,435,446,456,471,481,499,515,525,537,548,571,583,598,613,625,646,660,680,698,719,744,763,780,793,813,825,842,864,873,887,898,917,935,954,970,981,1007,1032,1056,1082,1114,1133,1161,1203,1236,1272,1312,1350,1381,1415,1445,1497,1536,1580,1617,1651,1690,1722,1756,1788,1817,1866,1900,1937,1971,2008,2053,2096,2136,2171,2214,2250,2289,2341,2388,2449,2495,2530,2568,2612,2670,2722,2787,2848,2915,2958,3021,3066,3111,3162,3215,3276,3338,3395,3450,3500,3562,3630,3684,3740,3795,3860,3927,4002,4082,4155,4233,4287,4362,4434,4489,4582,4670,4769,4860,4928,5027,5120,5216,5305,5428,5528,5635,5753,5858,5957,6065,6186,6288,6396,6502,6613,6733,6855,6973,7098,7239,7379,7533,7696,7853,7986,8133,8271,8402,8543,8699,8849,8995,9136,9281,9454,9635,9819,9985,10142,10285,10433,10589,10738,10916,11114,11272,11463,11643,11829,12010,12212,12407,12601,12809,13055,13263,13476,13706,13940,14128,14368,14616,14872,15129,15378,15627,15916,16193,16454,16709,16992,17282,17575,17851,18153,18439,18751,19052,19357,19637,19933,20199,20479,20785,21116,21435,21768,22119,22471,22815,23190,23538,23868,24222,24605,24964,25325,25712,26092,26453,26855,27251,27636,28043,28438,28813,29215,29647,30087,30534,30971,31443,31887,32335,32823,33244,33740,34174,34630,35113,35573,36032,36564,37095,37606,38144,38657,39207,39783,40348,40846,41467,42042,42621,43255,43825,44460,45100,45802,46441,47192,47899,48598,49340,50109,50882,51657,52446,53236,54096,54934,55770,56605,57484,58378,59198,60060,60955,61875,62743,63636,64535,65409,66350,67266,68190,69185,70180,71185,72234,73274,74251,75252,76295,77359,78450,79561,80658,81779,82909,84113,85303,86518,87751,89026,90313,91524,92873,94145,95473,96834,98237,99643,101094,102512,103900,105320,106784,108223,109672,111118,112700,114205,115776,117324,118949,120598,122192,123766,125363,126940,128612,130244,131948,133608,135289,136988,138659,140427,142203,143926,145679,147511,149390,151204,153062,155016,156990,158896,160872,163002,165071,167096,169181,171325,173435,175663,177983,180237,182593,184958,187299,189722,192130,194623,197049,199553,202065,204689,207253,209944,212627,215398,218253,221132,224027,227019,229936,233026,236060,239177,242288,245385,248570,251718,254888,258212,261505,264827,268193,271609,275140,278534,282153,285764,289420,293103,296823,300759,304724,308695,312735,316866,320966,325019,329164,333452,337775,342067,346515,351046,355640,360248,365113,369885,374625,379628,384615,389644,394778,400125,405469,410882,416442,422042,427787,433495,439239,445071,451040,457054,463231,469304,475469,481803
1,1,1,3,4,4,7,9,10,11,11,12,14,14,17,22,28,34,39,45,49,55,58,64,65,69,73,81,94,103,117,128,142,155,160,170,179,190,195,202,211,218,223,232,236,241,250,255,260,264,270,278,284,289,295,296,302,309,312,316,321,325,331,336,343,350,359,368,370,384,393,400,410,421,429,438,453,461,472,485,501,511,528,542,554,573,587,596,609,627,643,665,682,698,719,736,753,774,796,814,841,861,879,909,929,961,976,998,1013,1035,1059,1073,1090,1110,1126,1148,1167,1198,1217,1239,1260,1273,1292,1314,1328,1353,1377,1395,1415,1447,1475,1511,1538,1565,1586,1607,1633,1672,1699,1732,1764,1793,1826,1861,1899,1925,1959,1996,2026,2063,2106,2149,2194,2247,2294,2333,2379,2426,2484,2547,2608,2665,2734,2799,2867,2940,3021,3104,3169,3243,3317,3383,3467,3548,3637,3710,3813,3898,3971,4066,4161,4240,4333,4434,4511,4600,4699,4786,4881,4985,5092,5199,5311,5428,5567,5678,5812,5933,6033,6155,6292,6423,6546,6676,6815,6938,7048,7178,7321,7466,7612,7770,7903,8050,8218,8365,8493,8646,8808,8962,9112,9290,9474,9667,9808,9967,10152,10307,10494,10674,10846,11007,11164,11328,11524,11704,11871,12038,12198,12389,12581,12748,12944,13140,13342,13540,13750,13935,14154,14368,14570,14773,15016,15252,15482,15765,16017,16248,16534,16810,17056,17329,17565,17816,18112,18379,18674,18971,19276,19561,19893,20212,20514,20861,21215,21556,21906,22272,22630,23046,23483,23875,24291,24680,25077,25539,25988,26437,26917,27397,27871,28350,28825,29304,29800,30318,30843,31347,31845,32330,32917,33495,34066,34619,35178,35732,36318,36941,37509,38100,38725,39363,40043,40734,41383,42057,42728,43399,44154,44876,45594,46325,47063,47832,48529,49295,50125,50925,51727,52572,53437,54330,55258,56176,57126,58069,59012,60000,61028,62035,63017,64025,65108,66154,67272,68340,69392,70517,71677,72762,73905,75102,76303,77455,78644,79782,80967,82142,83389,84590,85788,86997,88327,89592,90879,92102,93439,94799,96155,97494,98955,100335,101733,103201,104633,106168,107712,109278,110784,112359,113948,115559,117215,118806,120480,122116,123834,125606,127388,129133,130909,132688,134519,136397,138298,140218,142196,144166,146089,148103,150201,152301,154428,156533,158775,161111,163524,165796,168158,170580,173086,175530,178077,180658,183352,185997,188758,191417,194181,196978,199856,202636,205562,208466,211391,214422,217482,220546,223779,226908,230066,233193,236400,239617,242929,246205,249590,252969,256374,259778,263386,266947,270577,274151,277824,281600,285311,289126,292990,296932,300894,304915,308938,312996,317093,321375,325630,329962,334223,338604,343059,347561,352016,356597,361248,366165,370907,375797,380763,385832,390883,395940,401107,406524,411859,417453,423034,428659,434301,440079,445912,451832,457767,463812,469946,476275,482629,488922,495283,501820,508376,515020,521834,528514,535487,542507,549659
1,1,1,1,2,3,3,3,3,4,7,12,14,17,21,24,29,31,35,37,38,46,54,58,66,75,83,99,104,116,125,134,142,155,164,172,184,189,201,212,216,225,233,245,254,257,263,276,287,294,302,307,312,321,326,332,339,348,354,361,372,379,388,395,403,410,415,428,435,445,454,457,468,477,487,497,507,520,524,532,534,539,546,553,560,567,574,582,588,593,604,611,619,623,629,637,638,641,643,649,651,657,667,671,677,682,686,692,696,702,714,726,730,737,743,756,763,773,781,795,815,829,844,870,893,914,942,965,985,1012,1031,1051,1074,1106,1122,1142,1166,1190,1215,1234,1264,1298,1328,1354,1391,1428,1454,1489,1516,1549,1587,1626,1659,1691,1723,1755,1791,1839,1879,1915,1965,2016,2062,2121,2186,2233,2282,2360,2414,2470,2531,2601,2666,2723,2816,2901,2999,3077,3165,3261,3337,3420,3503,3594,3680,3781,3866,3969,4069,4171,4281,4391,4491,4593,4688,4783,4885,5010,5104,5217,5331,5461,5568,5668,5763,5876,5973,6069,6181,6289,6410,6531,6633,6725,6842,6952,7083,7211,7340,7490,7607,7716,7847,7971,8105,8237,8380,8525,8678,8864,9008,9151,9312,9471,9656,9829,10034,10253,10428,10607,10806,11025,11242,11443,11647,11878,12117,12334,12584,12800,13067,13320,13584,13865,14104,14356,14658,14953,15239,15548,15856,16212,16560,16869,17202,17538,17867,18249,18638,19008,19389,19756,20137,20548,20935,21364,21824,22247,22714,23157,23623,24131,24623,25070,25559,26038,26537,27031,27518,27994,28495,29000,29481,30039,30539,31086,31603,32126,32691,33283,33835,34460,35025,35612,36181,36808,37492,38154,38791,39402,40060,40719,41407,42099,42765,43443,44132,44801,45523,46196,46909,47633,48341,49113,49817,50596,51348,52128,52943,53702,54547,55400,56257,57111,58051,58918,59803,60726,61683,62656,63657,64644,65671,66664,67763,68855,69926,71042,72143,73244,74369,75429,76589,77799,78995,80188,81413,82616,83862,85146,86387,87588,88908,90241,91484,92782,94089,95459,96827,98241,99565,100947,102334,103819,105245,106690,108201,109721,111256,112825,114362,116003,117616,119293,120942,122696,124281,126004,127751,129486,131305,133045,134786,136595,138373,140234,142077,143983,146086,148083,150118,152202,154247,156282,158381,160550,162675,164880,167150,169358,171644,173960,176445,178925,181345,183850,186407,188867,191443,194011,196657,199301,201904,204590,207308,210108,212824,215488,218200,221033,223846,226817,229723,232673,235728,238731,241859,244886,248001,251229,254453,257873,261216,264601,267944,271362,274909,278526,282181,285812,289510,293203,297063,300959,304962,308782,312862,317004,321117,325409,329569,333878,338360,342853,347455,352123,356770,361495,366416,371413,376524,381499,386619,391748,397094,402582,408048,413519,418993,424707,430548,436457,442316,448114,454043,460062,466027,471971,478169,484398,490738,497121,503571,509959,516486,522976,529641
1,1,3,5,5,5,7,7,11,15,24,26,29,32,34,44,53,57,62,75,84,91,104,111,116,121,129,137,146,159,166,174,186,195,206,211,219,223,230,235,243,251,256,259,269,277,280,285,297,302,311,319,322,330,337,348,357,368,378,388,402,410,425,444,463,478,493,504,531,550,586,615,642,668,688,714,738,766,799,832,864,896,921,950,988,1010,1038,1064,1108,1136,1165,1192,1212,1249,1287,1323,1356,1393,1426,1460,1494,1524,1558,1606,1653,1689,1728,1767,1827,1870,1912,1952,2000,2038,2108,2164,2229,2300,2361,2436,2518,2587,2677,2757,2836,2913,3005,3092,3193,3290,3371,3469,3569,3654,3752,3847,3927,4019,4127,4227,4315,4417,4517,4623,4732,4824,4934,5044,5152,5256,5381,5518,5621,5744,5868,6006,6173,6317,6460,6601,6729,6878,7009,7150,7304,7471,7621,7787,7973,8163,8359,8543,8726,8917,9096,9285,9490,9707,9909,10115,10334,10539,10765,10998,11237,11479,11721,11978,12217,12459,12732,12995,13269,13513,13776,14034,14326,14585,14873,15113,15401,15662,15926,16193,16484,16784,17089,17365,17652,17967,18263,18580,18928,19293,19690,20065,20422,20804,21188,21571,21939,22375,22796,23171,23584,24028,24454,24896,25353,25829,26333,26786,27275,27763,28279,28833,29366,29847,30398,30917,31457,31918,32461,32989,33568,34097,34645,35223,35790,36358,36896,37483,38098,38689,39266,39833,40423,41027,41648,42317,43000,43659,44303,44941,45605,46281,46963,47619,48265,48962,49674,50393,51087,51783,52554,53286,54089,54845,55569,56341,57064,57840,58663,59439,60235,61004,61808,62580,63379,64197,65025,65895,66776,67619,68502,69417,70385,71285,72218,73142,74089,75156,76174,77208,78199,79214,80277,81289,82361,83490,84647,85785,86950,88109,89327,90582,91967,93232,94585,95857,97228,98566,99984,101361,102778,104189,105659,107089,108559,110080,111609,113177,114690,116268,117799,119537,121177,122853,124536,126217,127951,129700,131376,133224,134990,136856,138731,140629,142431,144419,146335,148285,150243,152309,154318,156229,158338,160340,162458,164664,166860,169103,171366,173651,175916,178314,180658,182995,185400,187857,190292,192798,195415,197973,200692,203474,206134,208793,211478,214234,217102,219953,222906,225899,228863,231873,234936,238075,241160,244285,247472,250724,253968,257111,260464,263748,267125,270476,273913,277427,280948,284519,288122,291777,295471,299166,302893,306766,310742,314667,318759,322976,327244,331568,336067,340413,344831,349322,354039,358718,363352,368249,372960,377927,382972,388066,393313,398426,403741,409028,414524,420082,425617,431355,437065,442746,448533,454517,460542,466463,472652,478855,485248,491653,498190,504765,511348,518049,524833,531655,538592,545612,552758,559931,567061,574426,581868,589219,596880,604536,612428,620377,628360,636426,644531,652831,661221,669464,678056,686578,695171,703922,712858,721960,731106,740201,749671,759007,768634,778356,788174,798026,808031,817940,828282,838804,849438,860130,871005,882061,893123,904446,915754,927111,938909,950706,962561
1,1,1,1,1,1,4,6,9,9,9,11,12,15,16,16,19,21,23,24,28,31,31,36,37,39,42,48,50,55,62,67,71,74,79,86,91,104,106,109,117,131,138,149,155,164,171,176,185,192,200,206,213,216,226,239,246,252,260,265,274,286,299,304,312,324,332,342,356,368,382,395,405,412,425,434,445,459,466,482,503,519,531,546,559,570,584,593,614,627,636,649,666,675,680,690,707,726,744,760,776,797,815,836,864,882,895,913,932,956,979,1000,1014,1036,1055,1080,1108,1132,1160,1186,1213,1237,1256,1277,1303,1334,1361,1393,1428,1454,1484,1511,1545,1575,1601,1635,1665,1696,1721,1757,1786,1825,1859,1898,1933,1965,1991,2021,2049,2079,2112,2147,2201,2245,2275,2319,2349,2382,2419,2459,2497,2533,2573,2616,2666,2703,2745,2794,2840,2882,2929,2964,3006,3051,3087,3123,3169,3199,3243,3289,3330,3387,3455,3502,3552,3598,3636,3682,3750,3811,3869,3918,3976,4033,4104,4167,4228,4302,4342,4386,4439,4497,4551,4618,4686,4738,4797,4854,4918,4988,5044,5102,5187,5253,5321,5382,5460,5524,5603,5660,5733,5794,5851,5924,5997,6079,6170,6271,6373,6482,6580,6675,6764,6853,6937,7027,7107,7192,7277,7373,7476,7575,7688,7808,7914,8008,8114,8218,8331,8419,8521,8621,8732,8844,8947,9052,9170,9277,9400,9535,9656,9774,9901,10018,10141,10278,10409,10563,10688,10836,10986,11130,11283,11414,11555,11710,11867,12020,12168,12322,12469,12649,12798,12978,13156,13325,13491,13661,13837,14031,14224,14412,14624,14808,14980,15163,15344,15559,15770,15968,16182,16430,16642,16866,17070,17290,17512,17724,17949,18171,18379,18620,18847,19078,19321,19548,19798,20054,20319,20554,20823,21103,21365,21604,21902,22151,22410,22689,22965,23233,23513,23795,24068,24346,24618,24861,25165,25445,25705,26020,26289,26573,26845,27143,27448,27738,28030,28311,28634,28979,29299,29617,29892,30233,30551,30857,31187,31535,31892,32252,32615,33013,33364,33754,34159,34576,34990,35413,35878,36310,36768,37219,37712,38161,38637,39127,39602,40131,40648,41155,41680,42247,42786,43357,43905,44501,45073,45652,46240,46835,47405,48035,48646,49261,49917,50581,51212,51882,52605,53284,53971,54673,55410,56098,56823,57571,58334,59159,59941,60743,61570,62412,63299,64152,64987,65864,66757,67615,68541,69520,70496,71466,72447,73443,74463,75497,76483,77439,78455,79495,80581,81603,82723,83773,84877,85950,87076,88206,89375,90546,91703,92793,93953,95147,96362,97580,98827,100122,101458,102689,103994,105317,106649,107948,109282,110563,111835,113213,114598,116010,117391,118846,120288,121745,123196,124758,126309,127802,129372,131005,132619,134304,135940,137671,139408,141136,142959,144679,146486,148359,150237,152094,154019,155966,157892,159912,161869,163949,165997,168148,170217,172318,174499,176781,179050,181323,183566
1,1,1,3,5,5,5,8,9,10,14,15,21,23,28,34,38,42,44,48,55,64,70,78,85,92,103,105,112,120,124,138,146,155,161,166,174,182,185,191,196,206,216,221,228,232,240,244,249,258,260,261,263,267,271,274,276,278,280,281,286,287,291,292,300,301,309,315,318,321,324,325,329,334,342,350,360,367,375,389,401,414,424,440,446,460,467,475,483,497,511,522,538,545,554,562,570,577,585,589,599,607,614,621,628,636,650,662,670,678,689,695,703,714,723,732,738,746,757,770,778,784,796,812,818,835,845,852,857,873,884,893,895,899,906,913,920,929,934,940,945,952,959,965,975,986,1003,1011,1029,1037,1041,1047,1064,1079,1093,1110,1123,1135,1151,1169,1180,1199,1226,1252,1280,1295,1322,1349,1369,1393,1415,1450,1482,1515,1548,1584,1608,1657,1693,1738,1778,1819,1870,1908,1952,1996,2040,2085,2131,2187,2226,2280,2338,2378,2423,2461,2502,2538,2577,2614,2654,2694,2730,2772,2813,2854,2908,2947,2972,3023,3067,3114,3169,3218,3271,3339,3410,3492,3560,3625,3684,3751,3819,3886,3960,4046,4121,4211,4293,4393,4473,4575,4666,4754,4834,4925,5024,5136,5231,5340,5450,5554,5655,5775,5882,5973,6100,6237,6360,6473,6607,6716,6850,6995,7139,7244,7384,7526,7671,7814,7956,8101,8236,8401,8517,8678,8817,8938,9062,9167,9296,9421,9550,9683,9820,9942,10080,10212,10352,10490,10635,10778,10942,11086,11242,11370,11519,11672,11824,11972,12115,12286,12437,12586,12751,12902,13085,13263,13440,13605,13766,13904,14079,14255,14411,14592,14783,14972,15166,15379,15596,15815,15994,16196,16427,16633,16871,17097,17318,17562,17811,18063,18307,18541,18785,19047,19313,19587,19857,20106,20364,20658,20901,21147,21400,21696,21988,22281,22599,22923,23209,23538,23897,24220,24532,24876,25224,25589,25950,26324,26668,27034,27438,27866,28281,28673,29093,29494,29938,30361,30802,31261,31704,32167,32619,33069,33554,34015,34478,35018,35529,36060,36593,37120,37668,38197,38768,39405,40044,40659,41313,41956,42578,43204,43863,44588,45366,46068,46764,47520,48272,49004,49775,50537,51349,52159,53032,53853,54672,55501,56359,57272,58192,59111,60116,61035,62057,63087,64046,65025,66055,67098,68186,69370,70476,71594,72768,73954,75125,76368,77607,78842,80125,81393,82694,84053,85422,86867,88262,89758,91196,92682,94140,95599,97110,98688,100275,101889,103597,105291,107065,108782,110592,112409,114222,116110,117930,119842,121873,123962,125983,128028,130097,132207,134424,136613,138829,141044,143242,145583,147902,150218,152604,155097,157620,160083,162698,165284,167954,170503,173231,175959,178627,181555,184434,187291,190214,193110,196054,199004,202035,205119,208185,211448,214592,217703,220949,224319,227774,231188,234631,238027,241684,245359,249087,252771,256680
1,1,1,1,1,1,1,3,5,8,11,14,17,18,19,21,30,34,43,50,54,61,63,65,74,82,88,100,109,115,122,133,144,157,168,182,189,205,216,221,232,246,264,275,290,313,331,348,356,367,380,395,409,423,441,454,465,486,505,524,538,552,573,600,624,645,671,690,713,740,767,809,841,872,901,933,976,1009,1052,1094,1140,1191,1237,1284,1325,1364,1410,1447,1509,1553,1609,1657,1706,1759,1816,1865,1916,1971,2039,2088,2154,2208,2269,2324,2385,2451,2515,2576,2650,2719,2794,2864,2938,3021,3108,3191,3287,3375,3472,3569,3674,3769,3861,3936,4033,4144,4251,4362,4456,4580,4690,4809,4919,5039,5158,5294,5419,5563,5688,5799,5925,6045,6162,6300,6430,6561,6672,6799,6919,7068,7220,7374,7520,7675,7843,8040,8197,8357,8541,8720,8902,9075,9269,9461,9678,9881,10101,10299,10512,10723,10918,11127,11333,11559,11792,12016,12229,12465,12692,12907,13139,13381,13608,13865,14070,14332,14553,14801,15044,15287,15552,15867,16145,16435,16725,17003,17261,17531,17837,18162,18481,18805,19151,19496,19821,20191,20593,20980,21396,21781,22157,22512,22935,23348,23740,24154,24580,25026,25522,25966,26435,26915,27386,27856,28347,28820,29325,29807,30278,30756,31277,31806,32370,32904,33459,34072,34621,35143,35763,36368,37015,37651,38258,38884,39472,40064,40708,41333,41993,42685,43321,44025,44678,45406,46093,46758,47485,48234,48988,49677,50394,51131,51880,52677,53471,54283,55139,55948,56768,57634,58502,59386,60313,61209,62132,63047,63979,64932,65926,66888,67889,68888,69919,70970,71974,73041,74060,75144,76172,77238,78317,79473,80583,81720,82837,84041,85196,86351,87526,88714,89889,90984,92233,93375,94650,95872,97171,98398,99650,100896,102183,103492,104848,106201,107623,108969,110385,111778,113221,114742,116213,117714,119268,120746,122317,123876,125551,127175,128772,130541,132212,133883,135589,137370,139262,141061,142845,144734,146592,148504,150310,152253,154231,156236,158257,160214,162360,164460,166629,168695,170880,173127,175276,177626,179957,182358,184749,187318,189787,192344,194975,197557,200164,202780,205438,208160,211070,213886,216673,219665,222690,225705,228748,231755,234883,238236,241555,244848,248267,251694,255267,258871,262371,266112,269746,273477,277316,281199,285109,288908,292859,297025,301125,305307,309452,313681,317874,322143,326441,330689,335140,339635,344038,348710,353444,358241,363093,368027,372976,377927,382912,387998,393162,398425,403709,409342,414976,420473,426309,432009,437849,443774,449700,455766,461872,468217,474573,480912,487416,494052,500844,507568,514296,521265,528338,535520,542801,550367,557814,565236,572887,580696,588520,596411,604433,612524,621084,629410,638030,646723,655433,664297,673193,682095,691041,700234,709510,719143,728666,738034,747730,757604,767586,777651,787903,798273,808797,819345,829933,840839,851800,863097,874417,885604,896890,908407,920115,932048,944011,956077,968206,980510,993091,1005653,1018098,1031015,1044218,1057437,1070838,1084217,1097726,1111532,1125182,1139026,1152856,1167154,1181572
1,1,1,1,2,2,2,3,5,5,5,5,5,5,8,10,11,11,13,17,21,26,33,36,37,38,39,46,55,64,70,78,91,102,118,128,138,147,165,176,187,200,215,224,232,247,271,283,297,305,326,343,352,368,379,404,418,433,448,462,474,501,519,546,558,583,610,632,661,683,713,735,770,806,837,873,907,946,987,1021,1058,1104,1138,1180,1214,1243,1286,1322,1364,1401,1440,1486,1530,1568,1616,1650,1704,1742,1785,1839,1881,1930,1970,2028,2070,2117,2170,2207,2255,2300,2349,2421,2475,2528,2584,2648,2728,2789,2852,2931,3016,3093,3158,3243,3323,3419,3500,3582,3668,3765,3871,3968,4049,4133,4209,4297,4401,4505,4596,4689,4796,4885,4982,5082,5165,5268,5344,5451,5528,5611,5692,5800,5892,5998,6085,6193,6288,6380,6499,6604,6735,6850,6968,7078,7189,7314,7447,7583,7719,7868,8016,8181,8336,8468,8627,8807,8984,9132,9308,9491,9656,9802,9942,10095,10282,10445,10623,10788,10963,11134,11323,11509,11704,11916,12124,12308,12537,12727,12928,13137,13375,13596,13800,14049,14289,14551,14840,15100,15372,15629,15905,16188,16460,16752,17104,17401,17774,18120,18437,18766,19111,19474,19857,20234,20611,20981,21372,21722,22119,22491,22901,23293,23730,24171,24584,25027,25398,25832,26247,26662,27147,27606,28065,28543,29025,29475,29904,30390,30892,31358,31881,32379,32858,33362,33863,34360,34885,35396,35933,36482,37021,37608,38131,38703,39319,39941,40567,41190,41818,42459,43146,43821,44513,45185,45875,46634,47373,48133,48825,49622,50403,51177,51936,52731,53490,54297,55112,55908,56721,57498,58347,59163,60012,60874,61718,62557,63430,64273,65158,66023,66914,67769,68695,69569,70464,71387,72305,73187,74192,75141,76114,77134,78139,79207,80265,81253,82282,83378,84513,85599,86726,87919,89125,90315,91512,92725,93921,95164,96430,97704,99004,100301,101642,103007,104394,105786,107171,108516,109919,111288,112735,114149,115558,116941,118417,119961,121450,123028,124487,126083,127571,129187,130815,132443,134135,135764,137526,139247,141037,142852,144639,146460,148358,150191,152088,153998,155919,157983,160047,162047,164203,166335,168502,170753,172902,175014,177265,179547,181917,184406,186791,189320,191922,194515,197208,199912,202721,205528,208459,211464,214422,217575,220786,223885,226971,230229,233584,236895,240316,243698,247192,250561,254142,257882,261413,265111,268890,272714,276559,280525,284474,288488,292669,296803,301020,305212,309424,313729,318194,322842,327383,331984,336750,341347,345965,350894,355836,360929,365922,371106,376239,381521,386925,392332,397890,403549,409384,415188,421064,427011,433110,439370,445679,452029,458587,465136,471680,478397,485214,491928,499084,506202,513325,520542,527816,535068,542591,550058,557623,565292,572901,580777,588642,596735,604961,613231,621728,630099,638636,647056,655848,664687,673536,682612,691764,700896,710337,719835,729359,738818,748500,758422,768408,778473,788806,799052,809556,820228,831289,842101,853218,864384,875651,886894,898353,909808,921695
1,1,2,3,4,5,7,7,10,10,12,15,18,23,26,31,32,34,37,41,48,58,66,77,87,96,110,120,131,141,152,170,186,202,223,245,263,272,288,310,329,337,356,370,379,402,414,428,452,472,483,502,515,534,548,568,591,611,630,654,681,706,728,755,787,823,855,891,929,980,1023,1068,1104,1139,1186,1222,1262,1304,1351,1398,1435,1472,1513,1553,1603,1645,1698,1737,1788,1826,1869,1922,1955,2012,2036,2073,2135,2179,2213,2255,2302,2358,2404,2448,2484,2521,2573,2622,2651,2702,2737,2788,2853,2903,2944,2993,3049,3102,3155,3229,3284,3332,3396,3465,3510,3575,3632,3699,3768,3835,3908,3979,4049,4124,4209,4280,4360,4435,4517,4573,4651,4734,4813,4892,4963,5041,5116,5176,5245,5311,5384,5458,5537,5606,5668,5749,5823,5894,5968,6044,6126,6209,6279,6354,6432,6519,6606,6707,6805,6896,6992,7065,7149,7235,7319,7403,7484,7566,7651,7718,7789,7880,7974,8041,8129,8209,8302,8387,8465,8556,8639,8737,8825,8927,9018,9106,9243,9325,9430,9530,9619,9732,9866,10012,10147,10274,10398,10554,10675,10807,10942,11103,11270,11439,11593,11758,11945,12127,12290,12421,12565,12709,12890,13070,13227,13403,13555,13721,13876,14035,14186,14345,14504,14635,14776,14918,15064,15227,15364,15496,15618,15786,15942,16088,16252,16434,16614,16765,16928,17084,17236,17422,17616,17779,17937,18113,18265,18430,18616,18800,19003,19190,19386,19583,19778,19986,20185,20387,20599,20818,20989,21204,21416,21639,21833,22020,22244,22487,22719,22932,23159,23419,23651,23904,24119,24343,24587,24852,25112,25342,25622,25915,26204,26471,26737,27029,27305,27575,27832,28143,28420,28735,29030,29357,29640,29948,30247,30550,30871,31193,31522,31827,32124,32437,32751,33073,33396,33735,34074,34401,34768,35127,35497,35864,36196,36534,36887,37271,37622,38019,38398,38783,39154,39574,39978,40391,40829,41292,41751,42163,42634,43136,43616,44075,44507,44998,45490,46011,46521,47025,47566,48082,48617,49168,49707,50296,50851,51413,51995,52578,53162,53760,54427,55100,55768,56431,57115,57805,58501,59272,60035,60816,61606,62374,63195,64038,64912,65803,66619,67444,68279,69115,70073,70973,71954,72898,73866,74833,75855,76835,77852,78849,79854,80878,81896,82938,83984,85071,86113,87259,88432,89574,90659,91872,93104,94290,95527,96765,98047,99366,100716,102047,103479,104931,106285,107725,109186,110637,112148,113644,115175,116749,118357,119952,121513,123153,124809,126444,128018,129732,131464,133233,134978,136854,138715,140610,142590,144587,146550,148528,150607,152743,154825,156964,159141,161448,163782,166074,168406,170735,173138,175573,177984,180406,182948,185517,188147,190717,193427,196219,199077,201934,204754,207647,210596,213623,216679,219902,223078,226283,229551,232880,236369,239883,243355,246915,250527,254254,257970,261828,265672,269532,273421,277411,281443,285629,289748,294021,298425,302790,307110,311471,315985,320569,325311,330042,334934
1,1,1,1,2,4,5,5,5,7,8,9,12,13,15,20,25,29,32,35,37,42,52,58,64,74,87,92,97,103,108,113,120,129,138,145,155,164,175,181,192,199,202,214,217,222,228,236,240,250,253,256,260,267,278,283,296,301,303,306,312,320,328,340,351,361,376,385,400,410,427,441,453,477,494,511,532,551,570,586,609,633,648,676,695,711,733,757,783,809,831,849,877,902,934,967,994,1022,1065,1096,1119,1155,1192,1226,1259,1287,1319,1351,1395,1443,1469,1507,1546,1606,1639,1675,1711,1760,1809,1876,1934,1980,2028,2065,2105,2148,2192,2235,2272,2310,2340,2375,2418,2457,2491,2528,2563,2607,2655,2707,2749,2793,2833,2880,2921,2971,3014,3073,3131,3190,3251,3311,3376,3461,3548,3623,3691,3774,3862,3949,4035,4130,4226,4328,4444,4550,4660,4762,4886,5000,5140,5276,5387,5520,5662,5798,5920,6048,6209,6372,6492,6646,6783,6948,7089,7243,7392,7564,7741,7922,8085,8242,8398,8565,8743,8915,9090,9273,9490,9673,9864,10030,10233,10420,10599,10776,10959,11161,11356,11556,11756,11988,12189,12390,12608,12828,13068,13308,13562,13819,14066,14339,14629,14907,15191,15476,15746,15996,16272,16549,16870,17175,17520,17869,18213,18584,18932,19328,19704,20081,20435,20846,21262,21636,22068,22475,22908,23341,23786,24250,24696,25131,25604,26028,26465,26946,27375,27811,28279,28694,29159,29581,30056,30488,30930,31397,31866,32316,32847,33309,33759,34273,34780,35305,35851,36378,36956,37567,38121,38683,39260,39890,40502,41111,41733,42365,43058,43768,44526,45248,45981,46747,47538,48304,49046,49797,50597,51490,52340,53189,54151,55030,55964,56834,57763,58712,59600,60563,61476,62421,63369,64416,65442,66539,67620,68642,69770,70874,71903,73058,74220,75353,76530,77666,78912,80138,81340,82581,83873,85152,86438,87790,89177,90572,92024,93472,94959,96532,98134,99689,101313,102902,104508,106188,107883,109594,111368,113146,114931,116654,118480,120329,122207,124223,126091,128042,129957,131963,134023,136111,138191,140349,142420,144457,146587,148795,151135,153472,155816,158159,160560,163027,165535,168084,170610,173176,175756,178373,181079,183735,186522,189348,192226,195123,198103,201031,204106,207040,210179,213340,216445,219811,223002,226217,229626,232997,236420,239906,243327,247043,250672,254385,257990,261645,265465,269267,273232,277211,281386,285524,289618,293992,298479,302825,307298,311835,316387,320952,325517,330233,335080,339857,344675,349704,354707,359933,365132,370367,375636,380972,386449,392018,397495,403084,408803,414576,420375,426175,432114,438343,444546,450808,457172,463643,470280,477008,483680,490447,497230,504272,511414,518599,525905,533428,541026,548538,556197,564007,571795,579658,587698,595772,603915,612274,620630,629175,637735,646418,655285,664270,673397,682539,691761,701210,710675,720196,729913,739779,749746,759880,770108,780373,790871,801390,812248,823112,833832,844974,855897,867088,878890,890486,902302,914200,926316,938632,951097
1,1,1,4,5,6,7,7,7,8,12,15,16,17,19,19,20,26,30,38,45,50,55,60,74,80,88,100,109,115,119,127,132,144,152,158,170,175,179,191,203,208,217,227,232,242,254,260,266,276,285,299,317,331,350,362,374,387,396,417,434,448,462,475,498,514,538,555,584,607,631,662,693,732,756,782,821,856,893,933,969,1010,1063,1113,1150,1194,1240,1286,1330,1381,1436,1488,1528,1579,1622,1681,1738,1795,1840,1891,1950,2008,2062,2115,2182,2227,2291,2358,2417,2482,2545,2609,2669,2741,2828,2901,2972,3049,3135,3232,3324,3400,3480,3570,3661,3759,3868,3972,4051,4140,4235,4324,4436,4540,4636,4715,4811,4917,5015,5108,5221,5336,5430,5539,5618,5713,5811,5919,6007,6116,6223,6322,6439,6560,6673,6774,6910,7023,7154,7257,7383,7505,7635,7768,7894,8045,8187,8347,8513,8671,8861,9010,9203,9370,9550,9720,9890,10087,10261,10422,10611,10812,11017,11215,11387,11578,11810,12010,12211,12416,12627,12804,12988,13168,13366,13593,13800,14008,14204,14377,14550,14772,14980,15205,15414,15627,15847,16045,16273,16534,16762,17002,17263,17520,17783,18017,18269,18569,18828,19090,19417,19681,19998,20283,20626,20934,21224,21540,21887,22200,22536,22892,23222,23582,23912,24272,24670,25017,25381,25768,26209,26637,27023,27453,27846,28204,28605,28996,29423,29849,30245,30679,31096,31514,31973,32400,32836,33263,33700,34157,34600,35073,35500,35973,36427,36883,37373,37906,38398,38900,39433,39904,40375,40871,41385,41889,42468,43024,43568,44144,44675,45212,45772,46329,46938,47524,48117,48712,49331,49961,50546,51194,51827,52444,53092,53755,54419,55057,55720,56398,57109,57829,58562,59283,60001,60731,61455,62167,62879,63661,64478,65264,66021,66778,67606,68402,69247,70028,70884,71780,72603,73448,74421,75311,76271,77190,78153,79101,80109,81119,82194,83250,84309,85347,86431,87523,88603,89663,90778,91920,93050,94230,95497,96706,97988,99261,100553,101839,103151,104486,105871,107288,108708,110101,111573,113040,114506,116012,117577,119071,120545,122100,123760,125348,127033,128760,130505,132185,133844,135644,137409,139204,140973,142877,144792,146750,148774,150718,152803,154959,157092,159256,161366,163547,165747,167973,170334,172630,175018,177483,179795,182196,184633,187134,189529,191994,194621,197262,199925,202595,205293,208100,210941,213724,216678,219642,222707,225666,228702,231735,234789,237855,240887,244021,247207,250472,253653,256966,260200,263623,267009,270581,274067,277619,281191,284800,288572,292404,296272,300162,304068,307933,311919,316001,320095,324264,328551,332811,337113,341345,345778,350291,354943,359588,364278,369072,373986,379054,384207,389286,394451,399552,404959,410256,415743,421227,426738,432303,438172,443865,449678,455629,461541,467453,473503,479639,485877,492100,498555,505073,511646,518300,525165,532087,538977,546028,552978,560154,567460,574671,582062,589757,597318,604858,612793,620780,628787,636931,645325,653585,662014,670681,679423,688170,696918,705892,715046
1,1,1,1,1,4,5,5,7,7,9,11,14,14,15,17,20,25,28,28,30,33,34,39,46,53,61,63,68,77,84,93,103,111,116,123,132,138,146,155,162,175,184,193,204,212,214,222,224,231,237,243,248,253,259,265,267,274,280,285,290,297,302,308,319,321,327,338,354,367,382,396,412,424,435,458,471,496,517,533,553,571,595,612,626,646,662,682,700,713,737,759,768,786,798,818,831,845,858,878,895,906,925,946,959,985,1004,1017,1030,1049,1079,1104,1128,1151,1180,1204,1223,1246,1263,1294,1320,1347,1391,1423,1463,1501,1538,1577,1610,1646,1684,1722,1759,1796,1837,1879,1915,1947,1999,2040,2073,2110,2162,2208,2242,2288,2327,2365,2407,2436,2477,2515,2546,2583,2623,2667,2712,2745,2784,2822,2855,2887,2922,2971,3006,3047,3087,3121,3159,3205,3249,3301,3339,3372,3401,3439,3491,3525,3575,3609,3652,3702,3745,3783,3827,3879,3919,3964,4022,4074,4119,4176,4234,4292,4345,4410,4460,4539,4598,4659,4728,4797,4855,4927,5003,5080,5162,5231,5326,5415,5503,5565,5672,5767,5842,5921,6016,6091,6183,6278,6356,6458,6545,6636,6715,6814,6910,7016,7140,7256,7381,7487,7601,7721,7861,8024,8156,8288,8423,8604,8735,8876,9075,9236,9421,9598,9793,9972,10156,10377,10578,10785,10994,11204,11390,11601,11807,12030,12245,12442,12665,12855,13076,13304,13540,13771,14002,14271,14524,14795,15067,15338,15619,15887,16171,16458,16740,17040,17313,17572,17878,18185,18468,18821,19126,19443,19797,20122,20493,20835,21163,21501,21843,22223,22576,22921,23256,23613,23970,24355,24681,25048,25442,25829,26229,26669,27105,27546,27988,28481,28986,29459,29932,30403,30929,31461,31976,32440,33011,33547,34139,34728,35330,35931,36519,37143,37783,38457,39143,39813,40524,41229,41914,42612,43298,43982,44649,45315,46032,46744,47513,48296,49070,49871,50622,51424,52208,53008,53841,54679,55527,56452,57347,58332,59271,60264,61247,62232,63305,64365,65426,66511,67663,68842,70017,71206,72458,73670,74962,76346,77640,79086,80506,81990,83384,84904,86362,87880,89466,90966,92532,94146,95777,97376,99025,100638,102314,104044,105837,107688,109467,111358,113225,115094,116984,118957,120891,122832,124868,126946,129099,131245,133422,135551,137764,139870,142216,144571,146918,149333,151734,154172,156688,159264,161842,164522,167063,169695,172396,175013,177763,180573,183524,186427,189415,192417,195482,198647,201766,204985,208255,211597,214902,218258,221618,225161,228699,232243,235896,239652,243435,247236,251112,254927,258804,262743,266626,270656,274699,278729,282790,286973,291215,295585,299968,304358,308750,313180,317751,322221,326785,331409,336163,340844,345602,350531,355407,360356,365370,370471,375658,380862,386345,391925,397348,402937,408513,414272,420065,426123,431859,438060,444156,450260,456612,463012,469391,475976,482550,489235,496055,502915,509933,516847,524005,531232,538419
1,1,1,1,1,3,5,6,7,9,10,13,15,19,21,25,28,33,37,44,51,56,69,76,84,87,91,96,104,112,124,130,138,151,157,169,179,191,201,208,215,227,235,243,251,261,277,291,300,317,332,350,365,374,389,399,414,427,436,450,462,471,482,492,506,513,527,531,542,550,563,570,587,595,610,621,632,642,656,671,685,700,715,737,747,769,791,813,835,861,880,909,933,957,986,1002,1019,1041,1059,1089,1117,1158,1186,1210,1242,1276,1307,1347,1387,1428,1473,1504,1552,1590,1625,1672,1726,1783,1847,1902,1956,2011,2080,2138,2214,2284,2358,2414,2479,2547,2621,2698,2783,2858,2938,3023,3105,3170,3256,3319,3420,3505,3594,3679,3777,3855,3936,4022,4119,4210,4265,4338,4422,4504,4588,4687,4780,4889,4982,5085,5170,5262,5350,5460,5548,5647,5744,5842,5946,6040,6136,6236,6339,6426,6534,6636,6734,6839,6946,7036,7145,7252,7348,7434,7529,7616,7714,7818,7930,8035,8123,8240,8359,8467,8591,8686,8805,8926,9053,9175,9320,9478,9614,9752,9912,10054,10191,10356,10494,10646,10805,10956,11090,11244,11402,11553,11701,11854,12010,12173,12345,12486,12637,12809,12975,13134,13303,13467,13647,13817,13987,14161,14337,14518,14684,14852,15046,15248,15451,15648,15847,16058,16274,16478,16706,16932,17151,17396,17619,17828,18049,18320,18555,18789,19023,19255,19481,19720,19946,20209,20464,20710,20970,21250,21515,21783,22054,22362,22636,22900,23192,23476,23760,24073,24373,24690,24996,25313,25666,25982,26282,26594,26944,27282,27598,27910,28269,28608,28994,29340,29702,30060,30440,30848,31277,31689,32103,32508,32901,33303,33775,34202,34673,35163,35625,36125,36603,37157,37699,38269,38801,39297,39829,40398,40963,41567,42157,42806,43434,44081,44710,45385,46052,46671,47381,48022,48715,49400,50079,50781,51485,52250,52999,53758,54561,55328,56101,56890,57729,58533,59317,60172,60998,61893,62863,63784,64654,65587,66477,67345,68269,69243,70212,71219,72230,73242,74277,75289,76361,77427,78572,79682,80850,82060,83252,84453,85691,86931,88204,89494,90737,92085,93413,94777,96185,97653,99157,100570,102034,103552,105038,106540,108113,109712,111327,112936,114543,116269,117989,119713,121481,123233,125094,126878,128665,130456,132344,134255,136134,138105,140129,142113,144136,146158,148263,150333,152533,154635,156812,158958,161133,163445,165701,168016,170361,172721,175185,177646,180152,182665,185220,187769,190443,193094,195810,198588,201403,204296,207182,210133,213117,216152,219197,222233,225397,228523,231681,234902,238290,241687,244964,248443,251881,255309,258932,262532,266199,269960,273666,277550,281381,285331,289263,293199,297249,301351,305537,309859,314122,318477,322867,327408,332014,336750,341406,346222,351153,356128,361076,366226,371451,376738,382087,387409,392886,398476,404134,409920,415748,421571,427514,433626,439900,446280,452521,458942,465327,471713,478167,484877,491597,498472,505391,512484,519829,527158,534517
1,1,1,1,2,3,3,3,4,5,5,5,6,9,12,14,17,23,30,37,48,57,71,76,83,92,104,111,118,129,134,144,155,162,170,183,193,199,207,220,226,234,241,247,259,269,274,279,282,287,297,304,311,316,326,332,340,349,363,374,388,397,410,422,444,465,476,499,511,532,550,571,584,607,631,658,683,705,730,751,773,797,826,849,877,902,923,949,974,997,1025,1042,1070,1093,1119,1142,1167,1193,1219,1243,1267,1293,1324,1344,1367,1394,1424,1460,1479,1506,1532,1570,1594,1631,1665,1698,1738,1778,1820,1852,1881,1917,1955,1981,2011,2041,2079,2115,2151,2189,2233,2287,2329,2377,2414,2463,2507,2549,2585,2636,2670,2706,2754,2794,2848,2900,2953,2997,3054,3095,3135,3164,3201,3244,3297,3356,3418,3486,3561,3621,3694,3754,3817,3880,3949,4010,4086,4147,4212,4287,4367,4438,4505,4574,4631,4702,4790,4859,4937,5027,5135,5222,5309,5407,5500,5598,5715,5831,5942,6065,6197,6331,6451,6591,6700,6830,6963,7108,7262,7407,7549,7684,7809,7961,8107,8253,8422,8568,8711,8886,9063,9211,9359,9525,9681,9855,10012,10172,10325,10512,10691,10897,11066,11245,11415,11634,11815,12023,12214,12432,12629,12828,13028,13260,13497,13727,13970,14206,14435,14694,14980,15256,15528,15823,16147,16451,16742,17074,17392,17714,18029,18339,18669,18994,19299,19688,20042,20366,20736,21108,21497,21867,22260,22681,23095,23557,24005,24435,24876,25309,25775,26255,26725,27191,27663,28131,28615,29137,29654,30160,30679,31184,31715,32233,32680,33253,33770,34312,34852,35404,35944,36481,37059,37642,38218,38791,39397,40020,40644,41262,41907,42561,43213,43856,44530,45231,45887,46587,47251,47970,48727,49464,50213,50959,51743,52513,53310,54092,54889,55689,56512,57365,58202,58994,59854,60736,61612,62526,63442,64374,65267,66152,67078,68012,68980,70047,71041,72078,73190,74116,75069,76118,77175,78335,79413,80556,81686,82846,84030,85263,86476,87683,88961,90214,91522,92820,94121,95457,96818,98181,99606,101052,102546,104063,105583,107068,108598,110142,111703,113340,115007,116709,118410,120109,121834,123553,125392,127270,129052,130945,132803,134770,136770,138778,140881,142975,145027,147181,149385,151487,153654,155991,158293,160463,162713,165003,167353,169701,172110,174653,177113,179641,182177,184776,187376,189976,192668,195415,198203,201003,203877,206852,209772,212728,215861,218956,222206,225410,228566,231920,235389,238844,242365,245896,249461,253076,256722,260549,264298,268121,272047,275976,279881,283981,288146,292359,296541,300804,305109,309479,313836,318356,322781,327445,332079,336701,341338,346138,350929,355858,360878,365872,370824,375985,381047,386303,391605,396959,402446,407762,413318,418801,424481,430100,435833,441667,447501,453396,459467,465671,472028,478332,484692,491117,497642,504411,511041,517852,524765,531610,538766,545960,553163,560485,567923,575584,583157,590919,598688,606553,614421,622487,630723,638824,647049,655463,663918
1,1,1,1,5,8,11,11,12,12,13,18,21,23,25,32,33,33,40,43,50,54,63,68,73,78,84,87,95,110,117,127,136,149,162,168,177,185,189,198,205,213,222,227,236,238,243,248,253,262,270,273,273,276,279,280,282,287,288,289,290,294,297,303,306,307,307,311,312,314,315,319,320,323,324,331,331,331,332,334,337,338,338,345,349,351,355,360,364,369,369,373,380,386,395,403,412,424,428,437,440,451,461,474,487,499,516,529,543,559,567,579,595,613,643,662,686,709,715,743,769,801,827,854,890,916,962,999,1029,1073,1104,1133,1168,1196,1228,1252,1278,1310,1342,1378,1417,1454,1483,1525,1568,1606,1643,1684,1729,1769,1805,1859,1908,1946,1980,2014,2069,2104,2161,2208,2256,2317,2367,2433,2469,2511,2564,2615,2675,2729,2784,2832,2898,2948,3004,3048,3102,3155,3212,3254,3313,3365,3443,3515,3563,3629,3675,3744,3802,3869,3938,3996,4060,4133,4197,4259,4341,4407,4491,4562,4646,4714,4777,4855,4928,5021,5091,5170,5238,5319,5410,5502,5587,5660,5750,5842,5925,6010,6091,6172,6272,6364,6440,6531,6611,6695,6781,6865,6960,7068,7163,7268,7347,7456,7553,7654,7776,7889,8009,8118,8237,8326,8414,8523,8638,8746,8858,8977,9089,9204,9311,9445,9542,9660,9778,9881,9992,10083,10183,10286,10422,10559,10665,10785,10904,11027,11153,11289,11416,11536,11669,11821,11955,12107,12242,12387,12511,12651,12784,12908,13040,13177,13303,13448,13584,13731,13890,14052,14209,14348,14513,14675,14833,15003,15167,15340,15529,15690,15868,16085,16319,16536,16743,16957,17197,17450,17671,17904,18128,18372,18595,18830,19076,19331,19578,19821,20096,20373,20647,20946,21237,21545,21837,22149,22416,22707,23020,23356,23666,23953,24290,24580,24905,25202,25504,25803,26119,26465,26835,27161,27494,27842,28204,28549,28847,29214,29563,29895,30236,30609,30972,31343,31714,32072,32454,32855,33272,33663,34087,34528,34964,35412,35916,36335,36804,37329,37791,38277,38801,39321,39860,40440,40994,41531,42133,42774,43382,43999,44604,45186,45820,46445,47071,47723,48391,49061,49731,50437,51086,51758,52448,53108,53844,54604,55416,56152,56866,57582,58343,59133,59871,60637,61437,62272,63118,64013,64825,65716,66600,67509,68381,69252,70143,71054,72011,73046,74077,75064,76029,76995,78014,79119,80228,81351,82460,83640,84824,85938,87084,88278,89466,90696,91876,93128,94376,95597,96881,98142,99493,100766,102110,103433,104808,106168,107493,108858,110274,111681,113145,114589,115991,117539,119040,120538,122139,123705,125255,126893,128596,130277,131969,133673,135445,137281,139035,140906,142756,144694,146618,148562,150652,152716,154744,156884,159014,161189,163467,165752,168083,170397,172769,175150,177703,180189,182794,185387,188011,190761,193409,196090,198921,201692,204487,207235,210166,213019,215934
1,1,1,1,1,1,1,3,4,6,8,10,10,10,10,11,14,16,20,25,30,33,35,41,52,56,61,63,69,81,92,107,115,132,144,149,161,171,176,185,197,222,242,253,266,285,302,306,319,333,347,365,383,401,412,425,435,451,465,478,496,512,525,542,554,573,592,606,622,645,660,686,706,729,752,771,794,817,850,879,920,955,992,1030,1068,1102,1145,1189,1228,1276,1333,1384,1435,1478,1526,1568,1621,1689,1742,1810,1897,1961,2021,2068,2132,2180,2237,2316,2377,2431,2500,2555,2617,2676,2740,2803,2861,2942,3019,3088,3158,3236,3298,3378,3439,3519,3579,3653,3710,3767,3847,3908,3977,4051,4136,4220,4311,4409,4513,4610,4701,4787,4891,4993,5084,5197,5310,5414,5514,5606,5708,5821,5931,6066,6180,6309,6421,6542,6673,6790,6896,7022,7155,7280,7419,7542,7670,7803,7935,8072,8194,8344,8468,8601,8743,8881,9022,9193,9315,9466,9610,9789,9937,10100,10271,10450,10639,10810,10976,11145,11348,11527,11719,11917,12099,12278,12459,12624,12808,12983,13189,13370,13553,13765,13947,14155,14346,14548,14738,14932,15125,15345,15558,15761,15982,16184,16419,16655,16872,17102,17336,17573,17785,18011,18257,18512,18770,19008,19250,19505,19774,20017,20285,20536,20796,21072,21324,21584,21842,22117,22400,22657,22921,23234,23521,23809,24126,24414,24702,24982,25270,25571,25884,26178,26502,26822,27176,27501,27848,28233,28569,28925,29313,29680,30098,30458,30858,31205,31609,32022,32461,32862,33321,33783,34243,34709,35187,35667,36155,36676,37173,37685,38250,38764,39297,39892,40484,41091,41714,42335,42961,43606,44261,44880,45531,46227,46917,47649,48321,49020,49773,50505,51241,51932,52674,53473,54226,54996,55752,56528,57318,58085,58885,59637,60443,61274,62123,63023,63906,64788,65694,66567,67542,68566,69517,70565,71578,72565,73591,74661,75759,76842,77904,79102,80260,81411,82615,83730,84899,86113,87346,88606,89853,91098,92371,93673,95055,96371,97740,99152,100606,102069,103547,105040,106517,108109,109624,111163,112785,114396,115932,117614,119315,121022,122712,124508,126255,128116,130037,131932,133861,135798,137816,139912,141977,144011,146240,148397,150635,152839,155218,157570,159967,162272,164708,167133,169643,172212,174752,177347,179922,182662,185408,188112,190960,193918,196936,199988,203092,206100,209200,212360,215669,218942,222301,225753,229217,232803,236466,240063,243738,247406,251306,255250,259134,263110,267088,271172,275234,279433,283746,288078,292487,297040,301497,306054,310747,315504,320232,325044,329911,334924,339976,345110,350250,355436,360849,366253,371853,377390,383092,388765,394518,400505,406671,412685,418933,425139,431518,437962,444555,451186,457935,464635,471577,478627,485705,492829,500068,507327,514710,522371,530138,537975,545874,554017,562223,570542,578931,587297,596076,604798,613788,622991,632063,641300,650682,660295,670227,680156,690231,700236,710369,720706,731184,741810,752444,763331,774323,785354,796524,807882,819566,831169,842996,854772,866829
1,1,2,2,4,5,8,9,10,11,18,24,25,30,31,33,36,42,50,58,68,77,84,98,108,120,129,137,145,152,162,170,175,189,194,203,212,220,234,246,254,259,261,267,272,275,281,286,297,305,313,321,331,336,343,356,368,386,400,409,425,439,456,470,490,504,521,541,571,600,631,652,680,713,745,782,819,850,882,920,958,994,1039,1076,1131,1175,1209,1247,1292,1346,1390,1440,1490,1538,1584,1640,1684,1743,1793,1856,1918,1970,2039,2104,2158,2216,2273,2333,2389,2447,2512,2575,2652,2730,2803,2873,2969,3041,3106,3208,3283,3361,3455,3566,3664,3777,3854,3940,4034,4132,4251,4347,4437,4519,4632,4755,4860,4955,5087,5211,5339,5452,5571,5684,5805,5919,6051,6192,6332,6474,6594,6717,6837,6973,7125,7290,7440,7590,7738,7859,8031,8183,8345,8526,8723,8891,9106,9295,9484,9684,9867,10045,10245,10433,10603,10781,10991,11182,11370,11580,11769,12014,12205,12429,12612,12805,13002,13226,13438,13658,13903,14160,14399,14602,14841,15096,15375,15648,15888,16147,16418,16693,16933,17219,17479,17700,18001,18287,18561,18822,19155,19449,19762,20063,20344,20638,20934,21239,21566,21887,22219,22562,22891,23215,23554,23908,24263,24604,24959,25292,25630,25995,26352,26711,27063,27405,27770,28169,28544,28967,29383,29743,30162,30615,31058,31519,31990,32439,32938,33374,33846,34329,34840,35392,35905,36455,37027,37574,38120,38680,39236,39841,40425,41023,41610,42214,42841,43467,44148,44788,45424,46034,46709,47357,48031,48707,49420,50137,50856,51583,52332,53099,53863,54660,55498,56348,57140,58002,58892,59745,60627,61488,62349,63267,64220,65144,66062,66943,67928,68933,69931,70868,71816,72833,73854,74839,75870,76949,77976,79030,80123,81291,82422,83535,84729,85830,87009,88212,89422,90645,91928,93161,94489,95753,97090,98446,99815,101187,102666,104059,105476,106864,108351,109832,111321,112853,114428,116107,117821,119497,121119,122827,124595,126367,128166,129989,131818,133833,135736,137716,139704,141642,143712,145747,147884,149960,152050,154167,156337,158473,160673,163012,165291,167569,169859,172232,174586,177010,179457,181951,184501,186931,189478,191988,194603,197185,199796,202437,205150,207923,210726,213584,216453,219363,222376,225446,228479,231642,234789,237938,241095,244320,247643,251027,254393,257859,261224,264810,268357,271976,275552,279248,283097,286942,290740,294646,298585,302578,306558,310622,314724,318895,323230,327504,331964,336369,340870,345310,349927,354657,359332,364147,369013,373833,378882,383935,389027,394219,399432,404805,410258,415621,421104,426623,432369,438107,443909,449791,455680,461731,467919,473912,480092,486644,493157,499632,506235,512837,519678,526738,533785,540954,548273,555796,563111,570724,578281,586167,593927,602045,610122,618137,626489,634972,643463,652099,660867,669631,678463,687467,696798,705958,715187,724602,734074,743667,753584,763484,773606,783769,794267,804568,815306,825929,836924,847971,859151,870264,881805,893610,905413,917381,929518,941970,954181,966735,979311
1,1,3,5,9,15,22,25,30,34,41,50,60,65,74,79,87,95,105,113,121,131,140,154,168,181,189,194,200,210,217,221,232,247,254,262,268,272,286,294,301,307,311,315,321,332,347,359,375,386,404,418,427,446,461,475,492,506,527,556,590,619,649,671,696,730,770,793,834,861,888,943,983,1023,1065,1114,1169,1207,1241,1290,1325,1367,1397,1461,1514,1567,1609,1652,1700,1740,1794,1846,1915,1986,2037,2095,2155,2220,2292,2367,2449,2523,2586,2686,2774,2879,2970,3054,3153,3257,3367,3471,3571,3670,3771,3883,3990,4107,4222,4323,4435,4541,4669,4788,4909,5028,5156,5293,5423,5536,5665,5781,5890,6008,6138,6259,6389,6502,6634,6764,6892,7021,7161,7297,7437,7595,7749,7881,8077,8213,8375,8529,8681,8852,9004,9168,9320,9499,9650,9835,9986,10152,10335,10506,10678,10860,11019,11191,11360,11538,11697,11850,12023,12195,12356,12535,12712,12892,13053,13242,13414,13567,13776,13954,14150,14335,14541,14726,14893,15083,15298,15486,15661,15891,16111,16311,16529,16741,16971,17181,17404,17603,17848,18109,18383,18644,18953,19239,19498,19771,20035,20364,20647,21003,21317,21655,21988,22335,22715,23096,23490,23871,24246,24635,25028,25403,25819,26235,26629,27096,27529,27958,28379,28857,29324,29712,30142,30567,31031,31439,31907,32383,32872,33370,33831,34340,34814,35330,35861,36371,36878,37396,37958,38508,39045,39610,40215,40842,41518,42166,42790,43411,44000,44593,45266,45948,46633,47323,48017,48797,49536,50318,51088,51918,52679,53470,54259,55048,55862,56669,57477,58354,59182,59972,60839,61707,62535,63451,64453,65342,66253,67167,68088,69004,69952,70895,71873,72848,73855,74872,75901,76973,78014,79057,80152,81216,82280,83393,84542,85719,86851,88016,89131,90300,91546,92800,94061,95359,96678,97953,99279,100571,101967,103362,104740,106137,107528,108997,110457,111891,113424,114891,116452,117978,119594,121178,122790,124392,126092,127835,129566,131329,133073,134902,136812,138674,140519,142422,144383,146439,148454,150586,152767,154956,157139,159370,161596,163854,166232,168564,170940,173299,175752,178195,180696,183230,185724,188314,190958,193579,196330,199071,201845,204701,207462,210200,213053,215823,218717,221718,224753,227781,230815,233949,237096,240221,243401,246511,249739,253065,256503,259977,263452,267008,270639,274333,278042,281889,285684,289687,293640,297644,301704,305803,310056,314314,318674,323009,327452,331978,336446,341088,345619,350525,355343,360366,365270,370354,375496,380698,385938,391325,396710,402231,407823,413374,419196,424880,430687,436550,442405,448393,454543,460746,467073,473588,479971,486547,493164,499823,506662,513494,520465,527404,534642,541889,549161,556575,564077,571794,579613,587550,595599,603815,612145,620665,629418,638256,647323,656348,665474,674844,684122,693431,702864,712404,722503,732369,742244,752384,762868,773306,783793,794519,805351,816214,827377,838632,849952,861485,872931,884798,896451,908287,920346,932580,944896,957386,969932,982725,995748,1008870,1022029,1035167,1048592,1062238,1075858
1,1,3,5,7,9,10,16,21,25,32,42,45,49,51,58,65,71,77,82,90,102,112,121,130,141,150,161,166,178,190,199,206,212,223,238,242,245,258,272,287,302,311,317,324,332,348,359,373,387,400,417,440,447,463,490,518,538,552,579,600,627,660,698,732,763,796,835,855,888,923,950,992,1037,1078,1113,1162,1207,1247,1291,1327,1371,1417,1462,1509,1560,1605,1655,1703,1752,1810,1852,1903,1957,2000,2048,2098,2143,2186,2232,2271,2331,2393,2444,2493,2551,2601,2662,2725,2774,2845,2938,3009,3076,3156,3244,3328,3420,3506,3600,3697,3779,3873,3980,4090,4186,4298,4412,4520,4631,4738,4837,4958,5085,5207,5318,5453,5570,5728,5878,6018,6159,6331,6487,6679,6875,7057,7237,7450,7640,7845,8033,8236,8443,8668,8902,9128,9364,9570,9818,10045,10320,10560,10778,11020,11241,11490,11733,11963,12194,12435,12665,12891,13128,13398,13646,13880,14148,14429,14695,14965,15235,15492,15785,16056,16352,16654,16959,17246,17547,17870,18171,18485,18853,19194,19525,19871,20256,20638,21014,21353,21746,22092,22452,22797,23180,23576,23978,24377,24767,25174,25607,26017,26409,26842,27273,27736,28220,28677,29131,29583,30035,30482,30936,31393,31831,32318,32807,33283,33783,34322,34867,35381,35888,36412,36976,37570,38095,38637,39184,39785,40389,41001,41591,42244,42870,43519,44141,44839,45509,46188,46858,47604,48297,49027,49722,50496,51290,52066,52819,53612,54411,55228,56071,56897,57733,58575,59462,60316,61167,62117,63059,63973,64930,65925,66916,67908,68934,69986,71050,72059,73127,74250,75326,76419,77541,78724,79924,81157,82429,83695,85008,86317,87653,89034,90359,91765,93144,94661,96063,97534,98996,100538,102161,103674,105208,106837,108431,110116,111701,113446,115146,116823,118589,120299,122128,123997,125886,127741,129662,131538,133545,135466,137438,139527,141584,143685,145741,147939,150125,152371,154671,156902,159253,161628,163988,166489,168985,171613,174268,176961,179721,182389,185195,187943,190720,193728,196636,199475,202488,205584,208616,211607,214791,217922,221159,224403,227715,231022,234312,237658,241016,244502,248014,251535,255010,258683,262239,265992,269646,273350,277041,280826,284666,288677,292721,296778,300882,305001,309179,313385,317589,321957,326256,330638,335137,339702,344342,349027,354054,359073,364039,369038,374212,379328,384557,389826,395245,400625,406220,411834,417501,423240,429048,434912,440896,447017,453186,459552,465913,472276,478744,485216,491997,498860,505765,512700,519769,526985,534256,541826,549388,557144,564774,572607,580625,588575,596699,604801,613258,621727,630388,639122,647859,656508,665330,674346,683502,692856,702090,711464,720786,730333,739982,749797,759880,769672,779659,789891,800232,810601,821100,831912,842731,853576,864789,875946,887315,899132,910785,922619,934442,946588,958888,971353,983855,996817,1009854,1023074,1036563,1050135,1063843,1077750,1091920,1106284,1120708,1135610,1150169,1165139,1180141,1195455,1210560,1226204,1242040,1257969,1274084,1290273,1306565,1322902,1339666,1356347,1373258,1390112,1407245,1424495,1442121,1459776
1,1,1,1,1,4,4,6,10,11,11,11,13,16,18,24,29,33,37,39,46,52,59,64,78,96,105,116,128,140,154,166,177,186,206,225,242,266,292,310,328,346,368,384,402,426,440,456,470,481,492,508,518,540,566,584,608,630,646,661,680,705,727,755,780,799,832,864,892,923,955,993,1023,1057,1080,1119,1154,1198,1261,1292,1333,1373,1404,1429,1465,1509,1556,1604,1655,1700,1751,1810,1860,1919,1979,2038,2083,2142,2206,2270,2312,2383,2449,2520,2604,2686,2754,2824,2895,2982,3060,3129,3201,3299,3387,3477,3572,3666,3774,3894,3995,4102,4194,4294,4411,4529,4660,4782,4902,5051,5194,5330,5481,5614,5776,5908,6071,6243,6415,6600,6777,6967,7140,7368,7559,7757,7933,8104,8291,8474,8640,8837,9015,9204,9428,9618,9800,9994,10182,10377,10555,10748,10944,11158,11370,11582,11807,12002,12185,12410,12657,12886,13089,13298,13522,13761,13984,14198,14419,14660,14893,15136,15366,15632,15896,16167,16427,16678,16904,17147,17384,17638,17879,18120,18365,18620,18880,19134,19369,19627,19890,20161,20429,20709,20916,21170,21455,21731,21990,22261,22561,22895,23180,23506,23810,24133,24486,24847,25250,25630,26027,26441,26872,27271,27711,28132,28558,28997,29493,29978,30495,31038,31608,32120,32642,33268,33787,34338,34903,35536,36089,36658,37278,37862,38481,39119,39740,40371,41007,41623,42309,42963,43660,44313,45010,45733,46414,47171,47932,48677,49458,50224,51041,51809,52602,53432,54278,55148,55994,56867,57753,58685,59614,60564,61465,62369,63322,64307,65317,66287,67274,68294,69305,70374,71505,72661,73803,74982,76167,77398,78673,79949,81195,82460,83767,85052,86413,87752,89037,90426,91817,93339,94770,96223,97727,99234,100779,102314,103896,105505,107157,108863,110504,112191,113853,115482,117277,119156,121089,123020,124936,126953,128997,131102,133134,135284,137392,139534,141820,144027,146296,148622,150959,153344,155864,158334,160816,163293,165855,168457,171102,173795,176422,179247,181984,184891,187854,190818,193787,196847,199842,203031,206108,209315,212662,216019,219412,222764,226220,229728,233247,236835,240391,244018,247650,251373,255222,259106,263147,267040,271011,275113,279305,283525,287829,292161,296514,300920,305537,310157,314804,319558,324248,329159,334259,339344,344419,349604,354960,360409,365814,371335,376953,382650,388421,394288,400384,406545,412789,419117,425504,432163,438821,445428,452340,459232,466142,473174,480421,487548,494883,502304,509936,517567,525609,533592,541657,549537,557613,565898,574236,582592,591105,599831,608701,617675,626737,635755,644917,654389,663773,673141,682562,692322,702343,712292,722373,732631,743199,753618,764303,775086,786017,796907,808144,819519,830950,842703,854571,866473,878608,890862,903257,915846,928702,941526,954482,967792,981288,994551,1007957,1021852,1035691,1049944,1064137,1078570,1093107,1107942,1122912,1137789,1152922,1168291,1183749,1199215,1214962,1230783,1246832,1263042,1279319,1295903,1312411,1329090,1346013,1363015,1380154,1397493,1414895,1432797,1450896,1468889,1486702,1505407,1523833,1542810,1561617,1580918,1600242
1,1,1,2,2,6,8,11,13,14,16,16,18,18,22,26,30,45,55,61,66,71,74,92,98,107,122,137,151,155,159,171,185,192,206,224,231,243,255,263,274,284,294,308,317,332,346,358,372,388,401,426,442,456,463,489,516,527,552,573,592,617,643,666,693,729,764,791,822,843,869,895,927,970,1014,1058,1094,1125,1173,1217,1270,1306,1343,1384,1422,1471,1515,1561,1597,1642,1678,1718,1763,1818,1856,1895,1937,1976,2025,2067,2107,2157,2188,2230,2274,2326,2380,2439,2486,2535,2585,2640,2685,2744,2796,2856,2905,2960,3014,3078,3144,3217,3265,3330,3407,3481,3555,3629,3693,3776,3855,3934,4021,4108,4188,4267,4340,4423,4494,4565,4642,4712,4789,4873,4945,5032,5121,5208,5289,5357,5429,5521,5611,5704,5802,5905,6011,6111,6221,6317,6421,6526,6628,6722,6817,6930,7046,7171,7275,7376,7489,7600,7704,7812,7924,8051,8175,8294,8420,8536,8651,8810,8956,9088,9224,9386,9536,9656,9799,9938,10114,10273,10453,10626,10794,10981,11144,11313,11485,11650,11848,12053,12242,12420,12618,12834,13020,13193,13403,13592,13801,14014,14245,14453,14624,14843,15070,15294,15535,15750,15997,16210,16472,16715,16991,17275,17545,17813,18110,18440,18785,19132,19440,19762,20131,20529,20889,21266,21664,22090,22471,22857,23293,23700,24132,24528,24947,25424,25832,26256,26675,27112,27545,28001,28434,28915,29375,29864,30326,30773,31243,31750,32254,32777,33334,33812,34408,34942,35479,36076,36644,37251,37829,38442,39080,39708,40378,41111,41791,42522,43210,43916,44665,45373,46153,46981,47845,48635,49531,50407,51264,52099,52968,53830,54790,55681,56646,57567,58476,59399,60336,61348,62394,63371,64384,65366,66463,67533,68619,69699,70824,71922,73056,74286,75451,76672,77933,79171,80390,81671,82944,84291,85583,86866,88292,89677,91001,92404,93807,95159,96597,98077,99521,100938,102434,103903,105443,107125,108690,110257,111863,113541,115168,116761,118412,120120,121805,123537,125237,127035,128754,130592,132479,134354,136255,138248,140239,142292,144311,146398,148558,150653,152733,154965,157218,159418,161676,163971,166334,168723,171131,173441,175911,178375,180838,183357,185960,188560,191189,193904,196604,199486,202187,204982,207823,210767,213757,216793,219862,222927,226082,229305,232511,235711,238970,242368,245575,248953,252400,255875,259309,262690,266183,269779,273389,276975,280711,284478,288366,292239,296158,300195,304212,308337,312460,316564,320786,325026,329390,333778,338266,342904,347582,352272,357078,361961,366771,371868,376901,382031,387307,392661,398077,403408,408884,414547,420183,425966,431812,437729,443715,449815,455990,462108,468396,474722,481120,487481,494226,500882,507703,514546,521313,528263,535259,542370,549616,556816,564207,571774,579414,587288,595270,603364,611430,619651,628044,636438,644951,653498,662159,670977,679988,689068,698320,707571,716926,726534,736250,746047,755936,765854,776073,786212,796695,807201,817943,828801,839807,850914,862423,873888,885161,896659,908398,920318,932582
1,1,1,1,1,1,2,3,5,5,5,5,8,8,11,11,11,11,13,14,18,28,33,39,47,61,78,95,108,128,152,175,197,219,250,285,321,357,387,414,455,503,541,570,615,661,696,744,788,857,897,962,1014,1068,1122,1175,1236,1292,1362,1405,1463,1515,1569,1641,1693,1747,1804,1865,1910,1955,2019,2077,2154,2242,2311,2382,2452,2522,2576,2653,2726,2807,2885,2952,3038,3123,3202,3282,3355,3438,3510,3580,3669,3776,3851,3943,4026,4125,4233,4341,4436,4545,4643,4745,4850,4953,5058,5147,5255,5358,5464,5581,5675,5774,5874,5981,6077,6175,6278,6401,6505,6613,6731,6841,6948,7049,7174,7289,7398,7514,7626,7773,7935,8045,8194,8373,8527,8680,8855,9024,9203,9383,9580,9763,9926,10121,10313,10512,10762,10967,11180,11378,11603,11824,12039,12299,12525,12761,13008,13246,13493,13757,14023,14276,14543,14824,15109,15360,15640,15907,16236,16537,16840,17124,17431,17755,18071,18412,18696,19044,19398,19740,20054,20391,20713,21065,21402,21741,22066,22436,22794,23169,23519,23842,24174,24519,24906,25269,25625,26027,26419,26813,27206,27606,28020,28424,28846,29292,29711,30166,30617,31102,31624,32113,32580,33076,33543,34058,34597,35132,35663,36191,36712,37284,37876,38440,38999,39569,40140,40724,41322,41957,42554,43208,43840,44514,45229,45944,46668,47429,48162,48933,49772,50555,51346,52197,53058,53960,54869,55778,56682,57597,58504,59499,60478,61515,62547,63622,64702,65760,66893,68034,69238,70454,71723,73024,74269,75524,76867,78245,79619,81036,82456,83883,85344,86817,88311,89824,91425,92989,94596,96199,97797,99503,101130,102889,104605,106367,108159,109922,111770,113607,115452,117332,119252,121228,123207,125192,127234,129283,131402,133483,135626,137860,140065,142305,144680,146990,149329,151696,154051,156515,159042,161532,164089,166604,169238,171922,174557,177321,180063,182805,185646,188467,191377,194282,197297,200390,203445,206581,209612,212694,215762,218998,222229,225530,228890,232255,235697,238993,242477,245951,249565,253166,256859,260511,264191,268001,271825,275711,279519,283397,287309,291408,295464,299550,303797,308040,312403,316792,321310,325833,330361,334931,339558,344334,349185,353987,359052,364059,369201,374306,379477,384733,390093,395648,401259,406927,412663,418542,424432,430411,436349,442528,448589,454883,461354,467679,474197,480831,487544,494367,501371,508251,515296,522411,529770,537171,544537,551851,559627,567215,575131,583071,591140,599139,607355,615820,624208,632809,641476,650196,659049,667996,677241,686674,696065,705574,715172,725075,734938,745143,755312,765348,775738,786386,796940,807782,818866,829746,840979,852190,863391,875088,886732,898460,910452,922341,934415,946564,959020,971525,984230,997272,1010090,1023266,1036561,1049959,1063643,1077294,1091262,1105252,1119646,1133811,1147920,1162359,1177096,1191796,1206729,1221529,1236716,1252072,1267625,1283236,1299038,1315022,1331152,1347528,1364144,1380741,1397434,1414154,1430976,1447965,1465341,1482816,1500317,1518130,1536127,1554544,1572856,1591534,1610279,1629025,1647942,1667125,1686509,1705806,1725444,1745263,1765385,1785565,1806184,1827237,1848140,1868931,1890135
1,1,1,2,3,4,6,8,9,10,10,11,11,11,13,14,16,20,25,26,31,34,40,44,49,54,58,65,73,77,87,96,104,113,126,133,140,146,150,155,161,172,184,193,200,204,210,216,223,233,243,247,257,264,276,283,294,303,312,321,335,351,363,375,394,410,427,449,472,495,511,533,554,576,595,608,640,659,694,721,758,779,798,828,859,897,937,971,1000,1046,1078,1122,1172,1213,1255,1296,1344,1383,1440,1492,1539,1590,1645,1699,1744,1805,1860,1909,1971,2036,2098,2140,2196,2259,2329,2400,2464,2519,2580,2659,2729,2774,2838,2894,2975,3040,3117,3199,3254,3341,3424,3498,3561,3627,3707,3774,3833,3913,3988,4057,4143,4219,4290,4363,4443,4540,4615,4688,4779,4849,4929,5008,5079,5150,5227,5308,5372,5452,5540,5626,5695,5786,5855,5925,6012,6091,6177,6260,6343,6414,6502,6593,6686,6787,6879,6995,7098,7199,7290,7373,7481,7576,7696,7797,7917,8031,8178,8309,8437,8542,8677,8803,8910,9039,9171,9323,9453,9598,9742,9879,10024,10155,10292,10457,10623,10798,10942,11114,11280,11458,11603,11814,11987,12135,12317,12486,12651,12817,13023,13209,13401,13596,13781,13938,14139,14329,14494,14674,14858,15055,15246,15443,15630,15841,16019,16200,16387,16596,16811,17036,17252,17500,17719,17967,18225,18457,18692,18949,19253,19504,19777,20063,20305,20590,20870,21161,21462,21781,22116,22446,22759,23089,23428,23756,24101,24442,24781,25130,25503,25859,26258,26665,27064,27480,27874,28295,28724,29131,29619,30075,30541,31002,31527,32051,32536,33055,33568,34085,34644,35163,35674,36186,36748,37317,37932,38613,39186,39854,40469,41109,41785,42453,43116,43791,44488,45225,45912,46648,47356,48140,48908,49725,50508,51278,52086,52851,53682,54500,55331,56159,57010,57909,58781,59670,60557,61475,62403,63318,64230,65220,66256,67301,68305,69336,70356,71428,72496,73676,74813,76024,77173,78295,79510,80691,81895,83148,84403,85722,87047,88406,89716,91030,92474,93927,95352,96833,98324,99765,101288,102849,104447,106061,107714,109354,111072,112726,114451,116264,118083,119976,121852,123715,125608,127623,129617,131660,133712,135827,137896,140032,142152,144327,146561,148826,151164,153461,155765,158189,160682,163161,165683,168208,170743,173344,175952,178770,181504,184267,187204,190103,192996,195985,199109,202260,205277,208448,211662,214923,218290,221733,225218,228740,232209,235856,239440,243098,246762,250422,254177,258044,261909,265807,269755,273707,277868,282068,286187,290315,294490,298754,303018,307420,311881,316397,320998,325745,330426,335185,339978,344677,349476,354464,359317,364339,369592,374914,380248,385344,390745,396020,401573,407104,412706,418540,424390,430344,436199,442026,448101,454359,460684,466908,473428,479950,486412,493133,499934,506639,513373,520364,527450,534686,542029,549491,557090,564684,572201,580014,587893,595863,603807,612241,620464,628710,637188,646006,654583,663425,672235,681423,690503,699813,709191,718707,728555,738348,748349
1,1,1,1,1,1,3,4,5,6,9,11,17,21,25,27,33,34,35,37,45,48,53,59,61,75,82,90,92,104,111,117,124,130,137,145,154,163,170,178,184,193,205,216,222,228,237,250,264,280,294,311,328,348,373,397,424,461,490,518,554,587,622,649,680,714,752,782,824,847,890,929,960,1012,1057,1101,1144,1182,1227,1271,1314,1362,1412,1457,1498,1538,1575,1622,1659,1697,1743,1796,1844,1880,1920,1967,2011,2053,2105,2152,2192,2245,2281,2324,2372,2416,2454,2502,2557,2604,2648,2693,2743,2776,2827,2870,2908,2951,2983,3029,3061,3087,3123,3166,3201,3231,3274,3321,3365,3397,3438,3494,3542,3594,3653,3697,3744,3798,3846,3901,3960,4011,4067,4150,4208,4263,4318,4392,4448,4518,4590,4670,4728,4800,4883,4962,5048,5128,5219,5329,5440,5537,5658,5756,5868,5981,6090,6212,6349,6475,6606,6730,6829,6956,7081,7210,7349,7472,7612,7760,7898,8042,8207,8338,8498,8637,8796,8934,9074,9239,9396,9562,9723,9912,10059,10214,10368,10526,10708,10904,11071,11237,11400,11551,11731,11911,12103,12307,12488,12675,12856,13069,13263,13477,13680,13895,14091,14327,14568,14800,15048,15305,15564,15850,16105,16396,16697,16973,17248,17520,17836,18144,18458,18738,19062,19353,19651,19926,20215,20524,20838,21153,21461,21770,22077,22405,22733,23074,23410,23708,24041,24386,24706,25060,25396,25741,26084,26389,26731,27058,27423,27784,28170,28535,28922,29330,29766,30215,30634,31082,31513,31969,32452,32971,33429,33950,34430,34956,35490,36022,36544,37078,37644,38235,38845,39396,39956,40629,41266,41873,42502,43158,43799,44455,45120,45784,46410,47081,47712,48395,49106,49767,50485,51248,51988,52825,53590,54429,55248,56119,56982,57869,58717,59600,60521,61481,62419,63386,64309,65310,66325,67292,68306,69267,70280,71298,72319,73371,74413,75449,76527,77606,78682,79840,81004,82172,83323,84509,85710,86885,88161,89458,90681,91918,93187,94484,95803,97182,98637,99964,101325,102744,104199,105703,107212,108732,110292,111809,113381,115004,116523,118084,119692,121402,123075,124828,126596,128262,130047,131837,133588,135391,137210,139072,140938,142908,144902,146952,149028,151097,153240,155382,157592,159729,161951,164261,166579,168967,171303,173680,176125,178614,181048,183583,186108,188755,191265,193930,196583,199331,202040,204835,207697,210516,213341,216174,219042,221962,224912,227978,231056,234133,237255,240480,243683,246958,250317,253658,257054,260527,263965,267569,271029,274601,278226,282019,285833,289738,293613,297430,301579,305704,309809,314027,318317,322717,327091,331443,335990,340620,345438,350199,354960,359763,364753,369784,374851,380015,385300,390515,395820,401230,406739,412283,417867,423458,429225,435187,441077,447021,453091,459258,465265,471538,477761,483898,490060,496477,502910,509325,515867,522518,529054,535848,542776,549626,556752,563905,570921,578266,585410,592632,600023,607617,615053,622668,630412,638242,646180,654243,662246,670647,679049,687318,695952,704627,713504
1,1,1,1,4,5,6,7,8,10,10,14,14,16,23,30,36,43,49,62,67,76,79,87,93,100,109,114,123,133,140,150,161,169,173,181,188,196,201,208,213,224,235,248,255,262,268,276,283,291,308,317,330,348,364,378,387,401,422,438,457,476,497,518,538,559,593,632,665,690,730,767,808,834,866,910,939,990,1027,1062,1094,1134,1172,1210,1246,1280,1317,1360,1391,1434,1478,1531,1574,1611,1659,1696,1742,1783,1834,1875,1914,1959,1998,2051,2117,2177,2226,2280,2325,2370,2408,2455,2505,2558,2613,2659,2718,2772,2830,2893,2957,3023,3092,3138,3216,3307,3376,3436,3510,3573,3659,3722,3791,3865,3942,4022,4090,4178,4256,4332,4410,4486,4570,4662,4731,4834,4933,5033,5130,5226,5324,5421,5531,5639,5754,5872,5979,6075,6184,6276,6384,6489,6604,6707,6828,6942,7051,7172,7292,7445,7590,7719,7843,7966,8099,8245,8401,8557,8720,8872,9035,9199,9347,9523,9698,9875,10066,10246,10424,10593,10782,10960,11147,11332,11539,11721,11942,12151,12335,12548,12768,13008,13213,13433,13664,13898,14124,14365,14570,14810,15040,15261,15498,15730,15997,16236,16497,16772,17044,17301,17567,17854,18121,18440,18736,19025,19289,19565,19881,20165,20469,20781,21066,21380,21695,21966,22278,22552,22858,23176,23517,23823,24180,24480,24794,25128,25444,25811,26137,26506,26887,27271,27649,28028,28374,28781,29206,29634,30050,30442,30889,31354,31795,32268,32743,33207,33705,34264,34781,35294,35807,36355,36897,37438,37990,38586,39166,39766,40364,41020,41625,42251,42912,43586,44253,44917,45595,46272,46963,47653,48386,49082,49856,50600,51343,52085,52878,53692,54544,55310,56106,56917,57767,58612,59500,60336,61218,62099,63011,63939,64890,65789,66785,67800,68724,69684,70684,71696,72753,73812,74868,75955,77054,78180,79282,80411,81541,82697,83938,85163,86425,87636,88984,90352,91729,93028,94349,95763,97183,98639,100123,101561,103009,104610,106223,107768,109306,110827,112402,113995,115601,117261,119010,120838,122619,124492,126380,128236,130158,131982,133912,135956,137999,140049,142139,144271,146473,148631,150829,152995,155252,157552,159851,162287,164707,167146,169646,172197,174813,177364,180032,182781,185556,188440,191297,194173,197093,200112,203211,206367,209561,212834,215995,219267,222866,226258,229700,233157,236712,240378,244024,247780,251547,255323,259194,263053,267080,271094,275207,279257,283372,287553,291769,296087,300423,304905,309375,313899,318519,323122,327828,332638,337469,342332,347330,352312,357504,362715,368003,373181,378615,383971,389453,394971,400681,406336,412114,417993,423943,429883,435853,442112,448454,454747,461165,467684,474172,480817,487684,494505,501387,508261,515343,522415,529633,536924,544415,551851,559494,567288,575247,583046,590942,599116,607273,615537,623981,632529,641042,649666,658309,667052,675826,684872,693934,703200,712561,721877,731538,741157,750858,760741,770692,780776,790873,801222,811598,822292,833047,843640,854527,865702,876573,887773,899013,910502,922081
1,1,1,1,3,5,7,13,16,18,25,26,32,35,40,43,47,52,57,64,69,76,85,98,110,119,134,143,156,162,167,173,181,193,203,216,223,228,238,245,255,262,271,280,286,292,301,313,326,335,345,357,365,373,382,400,418,448,465,486,508,526,552,579,599,619,646,665,691,723,751,783,808,843,876,911,948,976,1011,1049,1098,1158,1207,1262,1309,1363,1409,1463,1533,1600,1654,1728,1799,1863,1943,2003,2068,2131,2210,2282,2354,2425,2498,2574,2644,2729,2814,2911,2990,3084,3172,3286,3377,3483,3574,3676,3804,3898,3997,4111,4233,4342,4430,4562,4697,4827,4955,5079,5197,5334,5452,5564,5676,5831,5980,6121,6255,6394,6541,6697,6866,7038,7214,7398,7567,7756,7948,8143,8335,8541,8749,8952,9141,9375,9561,9763,9982,10195,10411,10629,10837,11058,11284,11504,11717,11936,12186,12425,12661,12916,13161,13385,13648,13896,14152,14437,14714,15013,15293,15560,15832,16089,16334,16624,16895,17166,17466,17755,18055,18360,18653,18988,19310,19615,19941,20243,20608,20975,21347,21663,22041,22410,22768,23173,23556,23902,24305,24714,25124,25499,25912,26334,26740,27152,27560,27981,28413,28831,29259,29711,30120,30528,30946,31369,31774,32184,32600,32991,33444,33837,34232,34660,35083,35527,35942,36376,36820,37266,37697,38169,38665,39173,39651,40141,40681,41189,41697,42208,42721,43316,43911,44523,45163,45799,46422,47062,47683,48279,48948,49609,50246,50900,51575,52208,52860,53464,54104,54766,55473,56170,56841,57548,58220,58932,59728,60448,61131,61892,62689,63446,64242,65079,65898,66731,67566,68403,69280,70173,71101,71995,72889,73779,74735,75643,76652,77607,78555,79527,80479,81558,82558,83558,84623,85666,86771,87890,89018,90151,91237,92434,93609,94853,95974,97207,98422,99690,100976,102256,103567,104876,106224,107611,109017,110504,111908,113270,114739,116228,117747,119274,120812,122386,123909,125509,127141,128743,130304,131957,133671,135342,137084,138816,140595,142417,144156,145984,147776,149677,151541,153416,155384,157281,159302,161327,163383,165434,167513,169673,171731,173832,176055,178165,180476,182762,185102,187392,189772,192172,194637,197139,199559,202104,204632,207185,209832,212459,215097,217788,220513,223260,226096,229024,232059,234952,237974,240943,243902,246971,250125,253212,256465,259664,262977,266292,269615,273085,276532,279952,283424,286873,290501,294216,297956,301744,305596,309578,313578,317655,321784,325942,330280,334572,338750,343159,347583,351978,356582,361136,365786,370520,375331,380368,385290,390420,395476,400669,405880,411184,416491,421937,427537,433305,438972,444750,450761,456744,462857,469017,475206,481472,487841,494328,500766,507270,514090,521039,527977,534979,542018,549116,556256,563689,571187,578689,586296,594018,601840,609670,617621,625930,634189,642650,651210,659831,668484,677386,686186,695265,704604,714078,723434,732964,742751,752585,762444,772690,782830,793170,803624,814321,824871,835649,846608,857616,868915,880448,892159,903797,915690,927743,939843,952177,964844,977717,990782,1003796,1017244
1,1,1,1,1,1,2,2,3,5,5,7,9,9,11,16,19,20,25,31,39,47,56,68,80,91,103,108,121,145,159,174,197,223,242,261,281,295,308,329,350,364,379,403,419,439,458,472,489,499,518,531,553,562,575,584,595,612,625,640,657,676,686,706,729,754,769,778,794,822,845,871,901,931,958,990,1021,1050,1081,1108,1134,1163,1198,1230,1274,1317,1352,1389,1440,1489,1544,1588,1642,1703,1771,1839,1887,1944,1999,2053,2117,2191,2262,2327,2388,2450,2515,2566,2624,2690,2749,2825,2897,2958,3023,3071,3148,3200,3276,3336,3411,3486,3561,3634,3712,3800,3878,3957,4045,4131,4232,4318,4406,4500,4595,4678,4770,4880,4968,5072,5179,5288,5396,5505,5613,5699,5786,5901,6015,6105,6225,6325,6448,6564,6678,6799,6919,7047,7150,7283,7403,7527,7666,7800,7938,8064,8214,8364,8517,8671,8840,9021,9169,9344,9499,9689,9862,10040,10214,10395,10579,10775,10931,11138,11341,11514,11727,11908,12111,12296,12500,12687,12906,13134,13338,13569,13790,14013,14227,14435,14647,14863,15080,15326,15564,15801,16038,16274,16519,16776,17045,17296,17558,17835,18112,18394,18670,18942,19234,19503,19778,20069,20391,20704,20987,21278,21566,21865,22164,22426,22733,23066,23380,23718,24092,24456,24812,25200,25584,25958,26346,26770,27191,27605,28033,28495,28933,29410,29867,30347,30858,31339,31809,32311,32823,33366,33837,34376,34865,35380,35921,36385,36921,37465,38000,38509,39057,39632,40210,40793,41345,41903,42503,43114,43732,44318,44901,45451,46070,46641,47284,47857,48519,49136,49829,50459,51124,51815,52507,53177,53841,54559,55280,56096,56858,57644,58434,59250,60039,60889,61806,62657,63526,64453,65359,66267,67192,68175,69108,70070,71066,72036,73010,74011,75076,76170,77239,78345,79437,80565,81683,82918,84079,85306,86486,87743,89074,90332,91574,92911,94194,95534,96937,98400,99890,101356,102886,104390,105948,107565,109182,110821,112516,114210,115904,117658,119389,121078,122842,124634,126446,128341,130194,132137,134024,136001,138029,140022,142004,143993,146125,148297,150398,152532,154673,156841,159073,161294,163606,165903,168152,170497,172916,175377,177873,180381,182907,185515,188220,191009,193762,196582,199471,202311,205306,208309,211445,214584,217791,221026,224234,227621,231011,234462,237975,241523,245203,248839,252526,256418,260466,264479,268499,272545,276702,280914,285209,289544,293834,298361,302859,307392,311922,316570,321317,326139,330981,335826,340855,346063,351217,356426,361704,367115,372578,378122,383719,389290,394936,400788,406776,412807,418915,425156,431503,437812,444194,450711,457392,464324,471057,478014,485155,492410,499511,506759,514250,521860,529548,537386,545351,553277,561241,569421,577789,586206,594659,603162,611785,620534,629422,638420,647499,656751,665949,675386,684857,694449,703951,713643,723576,733601,743747,754032,764125,774698,785058,795642,806461,817342,828180,839444,850665,862052,873411,884989,896569,908485,920340,932319,944463,956640,968902,981341,993788,1006374,1019345
1,1,1,2,7,9,10,13,14,15,17,19,22,28,38,45,53,63,70,76,83,96,111,119,133,143,150,160,164,176,191,197,207,215,220,223,226,239,249,256,265,274,288,298,311,321,330,338,350,367,380,392,405,417,434,456,487,509,538,566,584,614,639,667,700,737,767,800,829,864,904,930,964,1003,1033,1067,1101,1141,1197,1241,1292,1328,1380,1428,1480,1545,1601,1670,1766,1825,1903,1997,2086,2174,2270,2353,2425,2517,2619,2705,2810,2915,3024,3127,3218,3334,3424,3510,3616,3720,3837,3925,4034,4154,4263,4363,4464,4563,4677,4798,4918,5041,5153,5281,5406,5518,5627,5758,5882,5988,6109,6236,6346,6475,6602,6702,6815,6922,7028,7150,7274,7402,7526,7644,7779,7901,8061,8188,8347,8505,8683,8855,9010,9161,9313,9457,9605,9764,9913,10105,10309,10475,10677,10846,11029,11232,11435,11624,11811,11994,12210,12428,12614,12832,13048,13235,13472,13690,13900,14160,14391,14626,14854,15076,15310,15560,15805,16061,16335,16589,16864,17120,17399,17671,17950,18203,18483,18771,19098,19402,19705,19990,20297,20624,20921,21275,21582,21945,22307,22655,23055,23384,23740,24124,24536,24938,25352,25766,26184,26629,27046,27506,28018,28478,28915,29403,29863,30350,30830,31320,31800,32306,32792,33296,33810,34350,34893,35408,35930,36464,37009,37558,38106,38638,39175,39766,40387,41005,41567,42179,42784,43387,43997,44594,45193,45852,46534,47220,47917,48628,49275,49968,50658,51359,52104,52822,53540,54290,55039,55840,56617,57398,58185,59052,59866,60743,61592,62407,63235,64083,64945,65845,66716,67609,68558,69479,70409,71338,72289,73287,74344,75330,76373,77402,78416,79514,80637,81766,82908,84062,85228,86408,87591,88769,90017,91243,92499,93739,95068,96420,97750,99047,100415,101759,103053,104446,105878,107270,108683,110108,111560,113001,114465,116002,117527,119146,120714,122300,123886,125522,127116,128761,130431,132085,133730,135508,137273,139137,140988,142850,144731,146574,148572,150591,152656,154708,156791,158909,161045,163260,165472,167772,170062,172378,174684,177069,179494,181908,184328,186783,189206,191729,194312,196847,199424,202122,204735,207374,210089,212854,215620,218429,221368,224251,227140,230023,232940,235914,239012,242000,245019,248021,251204,254447,257639,260927,264286,267617,270966,274492,278096,281684,285172,288703,292406,296080,299783,303735,307590,311467,315462,319635,323722,327974,332256,336579,340935,345443,349951,354605,359240,363932,368649,373363,378203,383143,388221,393174,398297,403530,408787,414110,419417,424881,430261,435782,441312,447091,452752,458380,464178,470079,476148,482168,488297,494389,500761,507282,513788,520341,526961,533884,540749,547622,554466,561761,569030,576458,583790,591451,599184,606999,614890,622886,631009,639156,647501,655679,664398,673075,681806,690740,699663,708724,717986,727437,736667,746186,755937,765761,776169,786182,796274,806652,817074,827798,838457,849274,860131,871140,882235,893582,904965,916577,928228,940184,952200,964481,976879,989311,1001640,1014138,1027044,1040026,1053052,1066452,1079967
1,1,1,4,5,6,8,9,10,10,10,12,15,16,16,17,19,22,25,28,39,46,52,56,67,72,83,90,101,114,128,139,150,157,163,171,183,189,200,214,226,235,254,272,280,293,307,320,332,353,368,381,393,408,436,451,479,503,522,536,556,584,620,649,686,711,744,777,804,846,895,948,993,1043,1108,1153,1205,1240,1292,1345,1393,1445,1498,1548,1584,1630,1694,1744,1792,1846,1890,1943,2007,2058,2107,2150,2189,2245,2297,2337,2410,2476,2537,2601,2676,2745,2815,2891,2973,3042,3122,3213,3304,3390,3484,3584,3680,3761,3859,3966,4058,4154,4270,4383,4507,4651,4770,4882,5007,5135,5251,5365,5529,5677,5807,5920,6058,6222,6365,6515,6677,6832,7004,7154,7333,7506,7659,7837,7999,8162,8336,8516,8689,8905,9081,9283,9502,9696,9886,10067,10268,10470,10666,10891,11081,11294,11512,11764,11991,12210,12440,12680,12922,13152,13374,13613,13815,14052,14296,14540,14763,15018,15238,15484,15715,15946,16220,16491,16748,16976,17241,17508,17790,18056,18355,18609,18886,19157,19417,19727,20003,20297,20602,20912,21214,21518,21850,22201,22532,22865,23152,23468,23803,24139,24500,24816,25133,25494,25859,26192,26531,26887,27240,27624,27987,28336,28696,29058,29439,29835,30247,30676,31094,31546,31940,32367,32846,33320,33799,34257,34734,35214,35712,36225,36754,37273,37784,38327,38889,39436,40034,40615,41154,41735,42337,42940,43596,44239,44901,45508,46201,46894,47534,48227,48889,49571,50220,50937,51627,52305,53035,53806,54579,55327,56104,56851,57588,58374,59177,59925,60711,61517,62332,63167,64030,64835,65679,66526,67430,68404,69321,70302,71267,72233,73257,74217,75228,76264,77332,78372,79469,80589,81729,82850,83981,85113,86248,87479,88676,89830,91038,92269,93515,94745,95912,97180,98512,99818,101215,102618,104016,105388,106800,108305,109836,111304,112763,114296,115873,117448,119101,120741,122455,124119,125956,127687,129458,131236,133066,134915,136824,138680,140594,142581,144551,146571,148679,150850,152803,154885,156941,159113,161286,163459,165750,167981,170343,172703,175017,177535,180024,182450,185025,187621,190270,192931,195650,198515,201332,204052,206873,209806,212792,215795,218925,222017,225151,228253,231600,234958,238271,241583,244957,248542,252057,255681,259322,263078,266832,270634,274491,278289,282157,286084,290080,293993,298226,302409,306617,310915,315350,319881,324400,328851,333381,337967,342685,347412,352223,357177,362266,367219,372323,377510,382876,388241,393675,399116,404631,410270,415925,421842,427701,433695,439772,445904,452115,458482,465034,471742,478409,485254,492018,498949,505978,513095,520308,527568,535083,542654,550255,558104,565933,573947,581849,589910,598074,606279,614664,623228,631671,640214,648685,657554,666425,675394,684478,693888,703280,712681,722204,731935,741520,751390,761352,771308,781655,791997,802254,812754,823275,833975,844660,855646,866685,877705,888620,899766,911167,922835,934566,946247,958115,970321,982468,994655,1007188,1019864,1032561,1045645,1058827,1072096,1085445,1099345,1113061,1127241,1141598
1,1,1,1,3,6,8,11,13,13,13,16,20,24,27,31,36,46,55,63,75,91,110,116,122,132,143,150,168,184,202,220,233,252,276,292,308,334,352,374,398,428,454,475,494,515,540,564,597,622,653,673,698,731,767,795,840,882,929,973,1029,1089,1149,1210,1264,1331,1420,1507,1588,1696,1780,1869,1976,2084,2200,2316,2431,2540,2644,2743,2839,2916,3024,3136,3249,3354,3460,3560,3680,3791,3904,4001,4104,4214,4325,4426,4547,4662,4776,4890,4985,5096,5204,5341,5453,5573,5737,5866,6001,6126,6284,6425,6579,6740,6905,7079,7238,7422,7573,7748,7934,8137,8334,8521,8735,8961,9183,9436,9679,9920,10196,10455,10740,11028,11312,11593,11887,12194,12506,12799,13102,13406,13711,14045,14384,14721,15031,15372,15720,16045,16383,16770,17126,17515,17895,18246,18638,19020,19409,19819,20241,20672,21082,21497,21936,22410,22868,23331,23812,24298,24774,25270,25759,26266,26777,27272,27778,28333,28858,29389,29974,30569,31161,31768,32422,33086,33736,34355,34990,35613,36358,37086,37849,38607,39366,40126,40868,41717,42515,43332,44168,44998,45857,46748,47635,48564,49463,50417,51355,52299,53256,54245,55214,56273,57241,58347,59419,60491,61636,62777,63973,65111,66368,67536,68720,69972,71246,72459,73747,75077,76458,77794,79170,80565,82041,83487,84941,86444,87968,89524,91094,92692,94315,95985,97598,99381,101097,102856,104674,106479,108338,110208,112177,114139,116166,118194,120299,122299,124420,126553,128674,130865,133101,135384,137610,140014,142319,144645,146984,149352,151850,154422,156958,159552,162118,164687,167358,170078,172868,175671,178439,181138,184072,187011,189963,192945,196046,199184,202205,205275,208411,211650,214940,218243,221561,224991,228395,231916,235381,238873,242505,246136,249840,253611,257533,261370,265243,269202,273107,277164,281158,285162,289262,293582,297930,302255,306792,311258,315798,320300,324982,329693,334471,339247,344063,349054,354069,359003,364195,369253,374533,379703,385044,390372,395837,401344,406931,412633,418274,424047,429899,435671,441606,447807,453896,460012,466273,472635,479114,485648,492182,498628,505359,512212,519133,526112,533032,540189,547478,554718,562017,569337,576853,584467,592188,599900,607717,615667,623572,631764,639860,648145,656706,665171,673916,682500,691386,700208,709152,718120,727252,736422,745911,755294,765068,774808,784666,794652,804672,814831,825202,835739,846270,856832,867655,878590,889654,900787,912029,923600,935435,947012,958786,970992,983122,995470,1007765,1020458,1033183,1045933,1059154,1072339,1085664,1099053,1112646,1126349,1140504,1154706,1168837,1182951,1197700,1212233,1226869,1241693,1256726,1271811,1287065,1302449,1317944,1333871,1349728,1365787,1382134,1398335,1414777,1431352,1448238,1465346,1482559,1500117,1517713,1535446,1553261,1571100,1589431,1607845,1626454,1645281,1664382,1683263,1702505,1721923,1741621,1761563,1781727,1801995,1822389,1843271,1864208,1885112,1906345,1927794,1949358,1971184,1992990,2015165,2037782,2060500,2083606,2106875,2130265,2153693,2177370,2201155,2225335,2249536,2274049,2298919,2323879,2349118,2374593,2400172,2426242,2452101,2478251,2504636,2531127,2557748,2584572,2612063,2639429,2667123,2694910,2723222,2751470,2779680,2808536
1,1,1,2,2,3,4,6,7,8,9,10,11,11,12,14,16,16,17,17,19,20,20,20,21,24,24,25,25,26,31,32,40,41,42,43,45,45,49,53,56,69,72,75,85,90,97,103,109,118,119,125,135,145,153,157,168,181,186,194,203,210,216,218,229,236,240,248,256,263,277,285,293,303,320,332,342,354,366,386,410,428,456,479,518,555,587,621,655,696,728,764,816,864,906,949,995,1042,1090,1137,1182,1215,1259,1312,1353,1401,1440,1483,1537,1582,1626,1677,1717,1762,1801,1846,1879,1927,1966,2008,2056,2112,2163,2223,2287,2343,2401,2472,2547,2608,2669,2733,2821,2901,2997,3092,3179,3288,3392,3493,3585,3712,3819,3924,4027,4139,4239,4351,4465,4598,4722,4849,4979,5110,5237,5385,5540,5676,5816,5985,6120,6266,6408,6546,6683,6839,7010,7167,7355,7546,7726,7929,8115,8297,8500,8713,8929,9127,9328,9535,9720,9941,10165,10380,10630,10867,11135,11389,11656,11903,12159,12400,12675,12924,13180,13445,13712,14009,14287,14560,14875,15180,15467,15790,16071,16364,16701,17015,17347,17649,17964,18287,18620,18928,19217,19543,19852,20189,20528,20874,21237,21585,21950,22312,22681,23048,23393,23748,24135,24529,24940,25324,25728,26120,26526,26914,27330,27763,28210,28641,29070,29523,29975,30384,30840,31296,31793,32240,32729,33215,33723,34211,34713,35170,35669,36173,36659,37216,37747,38304,38835,39365,39897,40436,41038,41618,42202,42791,43425,44057,44688,45316,45894,46503,47145,47818,48462,49101,49795,50484,51126,51819,52481,53228,53982,54732,55435,56192,56974,57801,58617,59424,60289,61122,61971,62866,63821,64738,65731,66731,67774,68785,69826,70899,71970,73074,74167,75356,76499,77725,78913,80174,81413,82634,83909,85197,86452,87770,89019,90352,91686,93022,94392,95745,97052,98439,99777,101185,102522,103982,105396,106739,108189,109594,111035,112545,114104,115579,117031,118521,120087,121629,123244,124800,126436,128079,129706,131416,133262,135018,136817,138683,140538,142381,144174,145986,147869,149880,151877,154007,156039,158136,160261,162445,164588,166815,169005,171260,173577,175916,178287,180634,183143,185653,188262,190848,193440,196113,198849,201691,204527,207311,210169,213077,215992,219053,222188,225408,228668,231908,235133,238461,241828,245184,248641,252316,255931,259627,263261,267119,270937,274770,278636,282526,286554,290598,294676,298898,303076,307145,311385,315694,320102,324596,329129,333725,338258,342919,347632,352432,357353,362248,367242,372391,377530,382738,388075,393438,398940,404496,410025,415666,421478,427122,432910,438922,444999,451251,457578,463852,470290,476686,483185,489767,496328,503260,510155,517194,524369,531429,538623,545763,553018,560488,567899,575458,583063,590697,598504,606571,614629,622611,630953,639272,647838,656543,665356,674120,683172,691930,700833,709957,719363,728873,738445,748061,757802,767804,777812,787908,798382,808736,819149,829866,840560,851607,862678,873808,885078,896698,908335,920078,932013,944145,956358,968534,981071
1,1,1,1,1,1,3,5,8,9,10,13,14,17,20,26,31,35,44,47,51,52,57,68,74,92,108,122,134,149,161,174,187,204,224,242,264,283,301,316,333,349,387,411,430,449,462,483,505,527,547,571,611,640,671,699,734,770,797,834,862,895,932,965,993,1034,1076,1121,1155,1197,1249,1275,1321,1380,1427,1470,1523,1584,1633,1675,1722,1780,1825,1867,1921,1987,2032,2086,2140,2191,2250,2299,2352,2410,2474,2536,2596,2657,2719,2778,2841,2913,2985,3046,3107,3204,3291,3368,3458,3534,3611,3690,3783,3880,3968,4071,4185,4282,4376,4488,4592,4690,4796,4902,5000,5091,5198,5303,5390,5499,5584,5669,5762,5849,5937,6024,6124,6216,6308,6401,6501,6590,6675,6745,6843,6953,7053,7150,7263,7373,7493,7592,7683,7802,7917,8032,8150,8271,8384,8505,8624,8747,8886,9004,9150,9270,9390,9532,9675,9802,9971,10099,10237,10375,10520,10662,10806,10954,11106,11259,11407,11562,11714,11867,11994,12135,12293,12438,12596,12756,12936,13116,13314,13477,13657,13860,14035,14213,14396,14611,14802,15000,15182,15390,15621,15849,16103,16330,16538,16773,17012,17245,17491,17746,18003,18278,18530,18810,19078,19359,19648,19987,20277,20578,20890,21203,21506,21832,22141,22467,22802,23154,23488,23813,24139,24464,24822,25197,25562,25953,26343,26763,27175,27568,27969,28331,28735,29145,29547,29966,30394,30813,31245,31637,32081,32498,32955,33409,33827,34287,34783,35236,35696,36176,36648,37109,37581,38052,38558,39000,39478,39999,40550,41098,41604,42166,42714,43210,43740,44299,44863,45469,46094,46679,47273,47873,48466,49069,49679,50313,50986,51660,52295,52944,53643,54346,55078,55829,56593,57319,58093,58878,59645,60453,61227,62052,62842,63661,64452,65315,66228,67053,67863,68725,69590,70463,71402,72316,73223,74188,75124,76025,76986,77938,78933,79912,80919,81880,82844,83817,84878,85881,86897,87950,89011,90092,91196,92284,93377,94552,95707,96930,98080,99311,100512,101782,103083,104421,105718,107147,108551,109954,111336,112771,114259,115798,117341,118856,120443,121940,123443,124994,126565,128197,129863,131469,133027,134718,136337,138093,139799,141569,143299,145038,146817,148623,150383,152226,154078,155915,157826,159808,161781,163815,165923,167938,170101,172261,174481,176762,179053,181360,183764,186220,188720,191216,193800,196400,198973,201547,204162,206780,209449,212366,215119,217992,220889,223719,226632,229620,232539,235552,238505,241720,244968,248172,251511,254853,258285,261720,265135,268653,272228,275891,279628,283408,287172,290989,294824,298791,302851,306986,311263,315403,319673,323970,328488,332947,337443,342065,346779,351439,356147,361073,366040,371087,376115,381210,386206,391324,396636,401999,407421,412848,418246,423729,429326,435068,440780,446526,452491,458437,464466,470543,476605,482797,489311,495747,502286,508755,515352,522090,528924,535825,542696,549795,556917,564168,571532,578725,586023,593484,601240,608877,616791,624847,632994,641011,649174,657445,665837,674270,682973,691677,700356,709234,718027
1,1,1,3,3,4,4,5,7,8,9,12,18,19,23,27,31,33,37,41,48,53,59,65,75,82,99,115,130,142,148,159,169,179,194,206,219,237,247,263,278,292,308,316,330,343,355,366,379,389,406,410,425,437,450,465,479,488,502,513,525,536,547,558,572,584,599,615,632,648,663,681,698,712,721,733,747,761,776,791,807,815,823,833,840,850,861,870,881,884,900,910,926,936,947,961,969,976,988,996,1010,1023,1031,1050,1058,1074,1086,1098,1113,1124,1132,1145,1155,1166,1182,1192,1207,1226,1249,1277,1294,1315,1340,1355,1381,1404,1432,1464,1484,1506,1533,1555,1587,1613,1643,1674,1706,1732,1756,1776,1796,1814,1835,1855,1874,1900,1926,1947,1966,1988,2013,2037,2064,2086,2116,2144,2172,2199,2227,2263,2302,2335,2374,2418,2450,2483,2527,2567,2597,2632,2666,2722,2778,2831,2896,2951,3017,3087,3160,3240,3322,3390,3479,3541,3618,3693,3784,3877,3964,4080,4158,4254,4344,4453,4557,4670,4763,4847,4948,5063,5176,5281,5378,5476,5596,5702,5811,5918,6042,6147,6279,6368,6467,6573,6683,6814,6939,7057,7173,7276,7400,7510,7657,7792,7946,8078,8223,8362,8495,8629,8775,8914,9087,9250,9398,9553,9697,9872,10054,10248,10408,10588,10791,10966,11136,11345,11532,11702,11904,12117,12322,12500,12710,12938,13157,13375,13621,13848,14061,14279,14504,14716,14946,15174,15399,15637,15822,16033,16251,16492,16714,16967,17197,17438,17688,17933,18176,18422,18647,18872,19105,19379,19658,19945,20221,20519,20812,21092,21359,21624,21887,22178,22485,22760,23048,23342,23653,23947,24243,24524,24833,25160,25523,25888,26238,26594,26948,27306,27692,28054,28464,28857,29252,29643,30009,30424,30841,31267,31717,32200,32660,33093,33522,33998,34453,34932,35402,35892,36355,36848,37375,37878,38397,38916,39447,39976,40506,41049,41593,42153,42716,43360,44001,44604,45207,45844,46506,47149,47815,48488,49113,49826,50531,51198,51886,52593,53344,54123,54907,55700,56415,57215,58014,58836,59692,60541,61409,62356,63304,64236,65152,66083,67092,68069,69109,70131,71193,72315,73441,74536,75619,76699,77834,79035,80189,81390,82576,83770,85015,86312,87576,89010,90422,91769,93090,94523,96000,97426,98929,100452,102026,103674,105261,106820,108477,110071,111735,113421,115179,116927,118720,120476,122355,124129,126060,128037,129988,131927,134057,136096,138199,140243,142393,144582,146835,149163,151391,153704,156161,158508,160988,163433,165963,168555,171213,173771,176395,179075,181744,184531,187307,190158,193023,195776,198670,201580,204609,207703,210837,213963,217148,220409,223531,226803,230114,233383,236765,240265,243675,247266,250797,254507,258140,261927,265659,269354,273098,276883,280800,284721,288756,292808,296984,301268,305488,309707,314207,318631,323226,327819,332494,337321,342190,347043,351904,356797,361927,367099,372323,377616,383103,388649,394403,400068,405848,411626,417556
1,1,2,5,5,5,9,10,11,11,13,14,16,19,25,34,38,49,54,57,66,72,73,84,93,109,121,130,134,141,150,157,166,175,180,194,205,215,222,224,234,240,249,257,266,273,287,297,304,322,335,353,362,383,390,406,420,443,455,469,479,495,509,529,548,569,587,612,633,650,667,691,713,747,777,802,838,875,905,956,998,1046,1085,1125,1156,1187,1233,1268,1311,1350,1386,1424,1459,1500,1555,1604,1642,1690,1741,1784,1831,1889,1930,1994,2041,2103,2152,2206,2243,2300,2351,2419,2479,2537,2604,2675,2728,2793,2849,2907,2979,3049,3122,3198,3274,3349,3412,3498,3579,3662,3738,3835,3916,4019,4122,4225,4319,4402,4503,4625,4720,4808,4924,5032,5133,5249,5359,5483,5591,5705,5817,5922,6042,6147,6288,6389,6519,6648,6783,6914,7059,7172,7308,7413,7525,7672,7813,7938,8068,8237,8387,8538,8670,8802,8982,9129,9295,9437,9573,9730,9885,10029,10187,10383,10563,10747,10935,11118,11324,11491,11694,11901,12091,12310,12522,12713,12936,13137,13353,13567,13823,14061,14286,14528,14758,15016,15268,15532,15783,16051,16257,16522,16773,17059,17295,17579,17858,18115,18376,18616,18885,19163,19442,19729,20018,20294,20587,20865,21130,21386,21658,21957,22270,22601,22937,23266,23567,23918,24260,24562,24904,25265,25615,25964,26352,26744,27109,27442,27800,28157,28514,28922,29312,29733,30156,30565,30955,31356,31781,32234,32673,33178,33587,34029,34516,34995,35482,35951,36465,36990,37499,38021,38514,39054,39605,40195,40733,41314,41833,42412,42996,43609,44209,44763,45421,46082,46707,47377,48025,48635,49277,49961,50698,51423,52154,52891,53660,54422,55218,56019,56845,57652,58464,59277,60160,61006,61869,62722,63650,64546,65467,66435,67393,68417,69383,70351,71383,72399,73482,74565,75644,76721,77805,78880,80038,81205,82361,83498,84629,85829,86989,88259,89482,90722,91981,93258,94666,96017,97426,98865,100351,101820,103338,104864,106344,107951,109560,111263,112864,114545,116163,117889,119726,121537,123299,125155,126967,128828,130746,132613,134556,136488,138501,140479,142453,144451,146469,148495,150506,152525,154672,156782,158984,161174,163423,165686,167998,170332,172652,174999,177406,179824,182191,184527,187006,189528,192041,194562,197117,199735,202366,205033,207718,210534,213409,216354,219187,222203,225197,228218,231238,234313,237415,240652,243942,247332,250604,254080,257477,260992,264499,268100,271635,275294,279052,282739,286424,290415,294396,298410,302281,306364,310375,314644,318881,323096,327295,331637,336013,340415,345026,349756,354262,359118,364044,368961,373981,379034,384195,389352,394587,399926,405348,410909,416649,422296,428023,433882,439832,445871,451929,458100,464456,470833,477357,483968,490626,497399,504284,511233,518446,525628,532946,540301,547869,555383,563208,571105,579220,587458,595600,604023,612340,620850,629481,638253,647212,656326,665360,674702,684090,693537,703077,712845,722733,732809,743043,753350,763648,774255,784880,795769,806923,818046,829478,840982,852733
1,1,1,2,4,7,7,7,9,10,12,12,13,16,20,29,34,38,45,52,57,69,82,96,102,109,123,133,146,163,175,195,211,238,244,267,296,317,337,359,378,397,424,455,473,505,529,556,569,593,620,639,662,678,712,729,762,792,816,839,864,906,928,954,985,1017,1048,1085,1132,1174,1218,1259,1296,1348,1390,1430,1479,1525,1571,1622,1688,1747,1813,1867,1938,2004,2092,2163,2231,2310,2372,2439,2512,2593,2680,2764,2848,2922,3003,3087,3169,3242,3326,3398,3482,3562,3639,3720,3795,3867,3945,4033,4106,4176,4251,4322,4403,4498,4565,4655,4739,4840,4933,5026,5113,5208,5314,5398,5485,5571,5672,5773,5873,5968,6070,6179,6299,6416,6520,6620,6735,6854,6987,7104,7228,7368,7498,7636,7745,7878,8002,8124,8251,8373,8494,8628,8759,8910,9050,9201,9328,9496,9633,9794,9964,10137,10318,10507,10742,10947,11139,11333,11552,11765,11966,12167,12391,12622,12848,13082,13330,13566,13834,14090,14310,14578,14870,15118,15363,15626,15882,16109,16357,16624,16923,17212,17525,17843,18144,18423,18692,18963,19264,19537,19806,20109,20399,20718,21018,21357,21670,21988,22308,22672,22966,23299,23612,23947,24248,24586,24957,25336,25686,26048,26427,26763,27144,27557,27961,28357,28737,29165,29545,30006,30415,30888,31345,31783,32216,32694,33131,33613,34110,34579,35095,35595,36104,36588,37143,37676,38190,38699,39313,39864,40499,41051,41657,42248,42804,43394,43986,44625,45301,45950,46609,47247,47952,48660,49386,50108,50856,51642,52426,53262,54097,54971,55787,56682,57525,58453,59348,60328,61251,62221,63153,64079,65001,65994,66939,67897,68803,69775,70775,71727,72751,73760,74744,75784,76811,77897,78965,80045,81104,82201,83374,84483,85637,86877,88153,89428,90767,92094,93356,94763,96059,97488,98860,100297,101740,103181,104644,106084,107553,109094,110668,112290,113954,115570,117206,118937,120675,122407,124203,125925,127683,129529,131331,133122,135049,136857,138702,140586,142526,144508,146461,148425,150385,152398,154393,156472,158572,160697,162850,165006,167241,169440,171639,174012,176426,178789,181266,183698,186350,188920,191561,194242,196838,199565,202358,205174,208056,210864,213698,216622,219645,222609,225639,228736,231801,234949,238221,241539,244916,248284,251617,255161,258761,262259,265792,269457,273027,276656,280423,284258,288063,291967,295976,300166,304295,308384,312526,316766,321151,325479,329864,334423,339051,343764,348514,353314,358328,363340,368118,373157,378186,383242,388331,393694,399037,404545,410146,415726,421234,426979,432798,438482,444295,450302,456413,462624,468814,475293,481725,488309,494926,501555,508278,515126,522133,529311,536303,543517,550939,558511,566172,573842,581724,589738,597798,605792,614100,622531,631020,639575,648268,656908,665629,674595,683801,693021,702178,711668,721328,731029,740573,750564,760431,770577,780855,791179,801669,812010,822859,833548,844340,855112,866216,877529,888805,900152,911794,923450,935307,947461,959633,972122,984415,997430,1010371,1023554,1036646,1050151,1063770,1077421,1091087,1105112,1119109
1,1,4,5,8,11,14,14,16,18,23,26,33,41,51,60,68,76,84,88,92,103,115,122,127,132,142,156,166,172,185,192,205,210,224,234,244,259,282,294,314,325,346,361,380,400,415,441,478,511,546,572,616,654,690,719,767,815,858,904,956,992,1028,1077,1130,1165,1216,1251,1296,1346,1403,1444,1510,1560,1601,1635,1671,1706,1751,1796,1840,1882,1921,1973,2018,2073,2126,2170,2218,2275,2323,2369,2416,2469,2527,2578,2628,2686,2744,2798,2851,2901,2937,2996,3047,3093,3141,3194,3241,3282,3338,3392,3445,3487,3534,3593,3641,3702,3760,3816,3874,3937,3995,4049,4095,4159,4207,4252,4315,4367,4433,4496,4558,4611,4683,4748,4816,4882,4945,5029,5091,5189,5256,5320,5401,5469,5557,5632,5730,5821,5906,5984,6069,6166,6225,6306,6382,6463,6542,6609,6678,6766,6845,6915,7009,7099,7168,7252,7338,7402,7481,7562,7635,7709,7764,7846,7922,8005,8088,8163,8253,8329,8409,8491,8573,8655,8715,8808,8883,8951,9016,9086,9176,9274,9354,9442,9532,9615,9695,9771,9851,9935,10007,10090,10183,10262,10338,10443,10516,10607,10685,10775,10879,10964,11054,11142,11222,11311,11415,11501,11591,11698,11785,11867,11957,12046,12137,12260,12362,12474,12573,12687,12808,12906,13016,13148,13277,13377,13496,13634,13778,13957,14102,14241,14395,14552,14715,14890,15038,15210,15377,15553,15744,15929,16083,16250,16425,16597,16783,16994,17189,17371,17574,17776,17969,18182,18394,18591,18781,18999,19201,19434,19653,19874,20129,20379,20603,20844,21070,21302,21542,21780,22017,22283,22563,22835,23123,23428,23746,24038,24334,24649,24949,25279,25624,25960,26331,26640,26989,27326,27701,28114,28489,28890,29313,29735,30159,30535,30931,31374,31838,32275,32727,33220,33669,34143,34595,35077,35577,36066,36634,37154,37655,38152,38668,39211,39795,40367,40958,41565,42143,42738,43376,44037,44678,45331,46037,46735,47407,48136,48871,49641,50407,51185,51950,52784,53612,54356,55186,56020,56897,57716,58537,59426,60269,61219,62119,63147,64069,65009,65974,66911,67878,68880,69895,70929,71984,73075,74132,75256,76303,77413,78555,79722,80827,81977,83186,84441,85689,87004,88278,89574,90877,92255,93613,95009,96499,97931,99367,100948,102574,104157,105814,107368,108953,110584,112358,114004,115722,117512,119339,121102,122949,124758,126582,128444,130351,132262,134231,136167,138109,140132,142135,144188,146252,148309,150443,152593,154786,157058,159231,161508,163865,166238,168546,170907,173276,175734,178242,180827,183413,186002,188631,191372,194089,196862,199731,202546,205446,208402,211250,214302,217365,220526,223669,226858,230109,233440,236736,240137,243548,246935,250418,253873,257382,260908,264462,268053,271782,275379,279168,282903,286720,290585,294452,298396,302333,306429,310518,314692,318944,323156,327565,332018,336534,341021,345624,350414,355261,360021,365051,369916,374911,380105,385419,390812,396321,401781,407352,412970,418801,424634,430501,436496,442407,448543,454636
1,1,1,1,1,2,4,4,5,6,9,14,15,15,17,18,25,27,27,27,32,41,44,52,58,68,73,77,81,89,96,106,110,119,130,147,156,166,179,192,209,223,248,266,288,306,321,342,365,381,397,421,451,476,504,523,548,569,592,624,652,670,698,710,729,751,771,794,820,836,862,888,914,926,945,977,1005,1033,1057,1081,1113,1132,1156,1172,1200,1230,1261,1280,1319,1349,1383,1424,1466,1508,1544,1583,1628,1661,1698,1746,1792,1843,1900,1956,2002,2058,2099,2148,2200,2236,2297,2347,2403,2457,2508,2568,2640,2696,2750,2802,2852,2905,2975,3037,3100,3161,3224,3291,3342,3417,3499,3582,3668,3761,3857,3959,4068,4161,4249,4355,4457,4567,4710,4844,4985,5136,5261,5403,5572,5723,5866,6016,6181,6316,6485,6650,6799,6972,7159,7333,7494,7645,7793,7945,8122,8296,8481,8660,8839,9029,9206,9396,9607,9788,9985,10174,10383,10594,10812,11037,11231,11474,11732,11965,12221,12483,12711,12956,13234,13520,13790,14051,14312,14598,14852,15115,15401,15710,16024,16328,16657,16961,17275,17589,17906,18260,18575,18928,19315,19658,20045,20430,20843,21278,21673,22096,22585,23016,23464,23937,24369,24793,25345,25863,26383,26881,27404,27926,28411,28931,29473,29979,30538,31071,31568,32088,32672,33199,33774,34325,34890,35469,36031,36581,37156,37756,38315,38857,39485,40086,40712,41329,41985,42582,43271,43916,44544,45229,45932,46607,47345,48082,48835,49626,50392,51128,51976,52771,53622,54433,55278,56092,57001,57947,58863,59796,60775,61778,62758,63770,64762,65787,66861,67922,68990,70055,71125,72219,73404,74541,75678,76829,77942,79059,80226,81433,82639,83874,85025,86227,87455,88630,89871,91121,92404,93735,95091,96456,97803,99183,100547,101979,103355,104755,106216,107680,109125,110660,112149,113691,115193,116799,118400,119968,121555,123197,124885,126578,128353,130058,131816,133673,135519,137383,139141,140975,142801,144646,146512,148358,150237,152177,154203,156224,158189,160213,162232,164238,166258,168225,170332,172440,174625,176885,179154,181386,183694,186020,188423,190884,193343,195758,198263,200762,203371,205843,208484,211096,213754,216441,219177,221930,224716,227572,230439,233380,236300,239316,242379,245515,248712,251991,255178,258531,261864,265313,268662,272092,275585,279111,282663,286376,290099,293924,297792,301703,305754,309714,313766,317802,321920,326131,330493,334850,339260,343712,348133,352477,357183,361808,366501,371202,375868,380728,385638,390563,395543,400549,405605,410728,416043,421250,426667,432180,437827,443362,448998,454836,460629,466535,472625,478723,484858,491071,497339,503822,510124,516612,523356,530208,537035,544011,551007,558160,565385,572706,580197,587496,595169,602885,610660,618497,626491,634451,642445,650707,658971,667416,676015,684540,693355,702136,711129,720150,729410,738701,748282,757778,767637,777540,787456,797517,807724,817957,828496,838947,849647,860479,871371,882300,893597,905005,916499,928211,940117,952094,964291,976429,988733,1001116,1013828,1026697,1039383,1052452,1065798,1079188,1092500
1,1,1,4,6,7,7,7,8,10,12,17,18,20,26,27,30,39,44,55,66,74,87,101,104,111,121,129,139,148,158,168,175,185,191,201,210,221,228,239,251,263,270,278,283,296,306,315,326,331,348,367,380,399,422,442,469,496,534,558,582,613,641,670,695,730,756,791,832,879,915,954,1006,1051,1087,1133,1189,1237,1284,1336,1381,1421,1466,1522,1571,1617,1677,1726,1773,1822,1875,1921,1969,2019,2072,2135,2191,2246,2296,2339,2398,2442,2479,2520,2571,2625,2658,2699,2737,2774,2813,2853,2890,2928,2958,2988,3038,3076,3116,3160,3203,3246,3290,3325,3366,3415,3457,3514,3571,3613,3675,3741,3817,3867,3945,4008,4071,4147,4215,4276,4336,4432,4506,4564,4628,4703,4774,4845,4900,4967,5038,5117,5182,5279,5339,5416,5484,5554,5619,5676,5757,5847,5940,6020,6103,6201,6313,6397,6483,6579,6681,6770,6882,7009,7125,7243,7358,7466,7597,7718,7853,7991,8124,8261,8410,8546,8707,8845,8995,9142,9289,9457,9611,9761,9933,10093,10272,10450,10636,10802,10978,11166,11333,11511,11704,11887,12090,12290,12478,12687,12887,13071,13273,13470,13669,13872,14099,14310,14506,14735,14957,15195,15408,15599,15820,16056,16277,16498,16763,17017,17241,17469,17730,17977,18209,18471,18737,19038,19376,19649,19929,20232,20532,20832,21152,21462,21760,22077,22399,22716,23043,23384,23723,24073,24419,24762,25149,25533,25849,26233,26606,26989,27388,27791,28171,28607,28977,29374,29785,30190,30588,30988,31373,31806,32231,32650,33099,33568,33993,34439,34895,35332,35798,36299,36772,37278,37812,38325,38849,39409,39973,40549,41170,41777,42315,42944,43511,44122,44746,45386,45988,46620,47285,47956,48593,49248,49960,50697,51456,52167,52899,53650,54407,55208,56044,56861,57713,58613,59441,60409,61241,62160,63134,64081,65118,66104,67207,68257,69285,70336,71427,72484,73621,74825,75995,77199,78418,79713,81033,82367,83681,84984,86370,87783,89220,90628,92037,93481,94931,96385,97906,99399,100949,102486,103945,105413,106882,108428,109903,111458,113025,114629,116299,117974,119526,121055,122712,124374,126093,127779,129451,131144,132852,134676,136435,138196,139947,141804,143646,145632,147608,149668,151653,153638,155704,157793,159910,162066,164324,166520,168778,171066,173443,175834,178207,180708,183124,185594,188149,190706,193320,196043,198742,201461,204172,206842,209579,212451,215312,218231,221203,224252,227396,230410,233566,236676,239828,243112,246380,249708,253086,256580,260079,263700,267210,270984,274676,278390,282138,285962,289884,293993,298050,302227,306335,310620,314950,319337,323832,328396,332917,337597,342338,347088,351833,356780,361761,366771,371796,376846,382074,387382,392724,398188,403671,409273,414958,420580,426372,432349,438160,444135,450057,456130,462479,468790,475169,481675,488166,494713,501391,508143,514927,521800,528985,536258,543670,551150,558657,566154,574003,581951,589792,597866,606111,614556,623124,631680,640402,649158,657912,667122,676245,685250,694520,704020,713534
1,1,1,1,1,1,1,4,7,9,9,10,10,11,13,15,17,20,20,26,31,36,40,43,51,58,62,67,78,84,86,95,102,112,119,129,140,145,150,160,163,172,181,189,198,208,217,223,233,249,260,268,281,290,299,313,330,337,355,368,384,401,414,432,443,457,481,491,506,522,535,554,566,579,597,617,635,656,682,711,730,754,781,805,832,867,899,925,962,995,1023,1050,1070,1101,1140,1173,1205,1243,1275,1302,1332,1370,1398,1429,1457,1490,1519,1549,1577,1603,1637,1669,1702,1732,1761,1799,1829,1870,1898,1944,1994,2045,2106,2161,2199,2255,2307,2351,2395,2458,2528,2582,2658,2707,2749,2815,2869,2920,2980,3031,3099,3157,3217,3267,3317,3365,3419,3473,3520,3577,3636,3695,3746,3789,3853,3890,3959,4030,4072,4139,4204,4254,4315,4387,4450,4498,4557,4616,4684,4767,4843,4931,4995,5086,5163,5252,5327,5408,5512,5607,5700,5776,5882,5979,6086,6197,6331,6444,6581,6694,6813,6949,7080,7216,7362,7496,7632,7798,7943,8109,8266,8410,8577,8750,8916,9084,9270,9461,9645,9853,10045,10221,10413,10627,10827,11042,11249,11482,11679,11896,12133,12345,12557,12801,13012,13240,13471,13690,13937,14180,14429,14664,14881,15132,15393,15629,15851,16102,16354,16561,16780,17039,17278,17536,17841,18112,18351,18604,18842,19092,19343,19586,19838,20099,20370,20622,20910,21192,21488,21747,22001,22261,22549,22848,23166,23481,23793,24100,24413,24738,25059,25398,25690,26011,26326,26677,27035,27392,27765,28127,28486,28866,29259,29646,30049,30447,30849,31298,31730,32158,32613,33052,33463,33918,34387,34836,35343,35876,36402,36908,37388,37906,38408,38971,39528,40062,40651,41226,41789,42434,43048,43679,44313,44915,45525,46180,46848,47498,48098,48735,49388,50116,50827,51586,52318,53002,53754,54495,55216,55990,56779,57573,58379,59195,60007,60869,61685,62551,63464,64334,65261,66141,67087,68078,69013,69954,70995,71985,72971,74005,74972,76007,77166,78201,79324,80467,81627,82714,83877,85074,86234,87436,88721,89985,91275,92520,93821,95194,96563,97886,99200,100562,101935,103298,104694,106105,107551,108932,110351,111806,113312,114796,116348,117897,119423,120966,122511,124032,125607,127237,128926,130612,132306,134020,135769,137611,139448,141338,143212,145175,147101,149053,151099,153125,155196,157368,159556,161725,164043,166287,168619,171017,173441,175935,178368,180829,183224,185784,188344,190946,193650,196398,199056,201842,204614,207464,210285,213276,216277,219195,222216,225386,228365,231406,234381,237482,240582,243684,246876,250033,253376,256733,260036,263427,266852,270396,273885,277418,281094,284746,288494,292261,296170,300006,303997,307982,311857,315930,320242,324585,328907,333246,337721,342237,346839,351363,356110,361025,365896,370763,375783,380880,385837,391017,396177,401541,406890,412228,417762,423377,428876,434666,440518,446348,452328,458186,464211,470176,476274,482527,489043,495463,502039,508525,515391,522229,529087
1,1,1,2,4,4,8,10,10,10,12,12,15,18,20,22,26,31,35,41,47,53,57,60,64,66,74,80,85,90,98,103,113,123,131,142,151,160,168,185,202,222,237,259,266,274,285,302,315,330,345,365,387,404,417,437,455,471,487,505,527,551,573,589,611,630,653,671,692,714,743,766,785,812,836,865,896,925,955,996,1029,1062,1091,1139,1185,1232,1266,1322,1370,1416,1461,1506,1566,1622,1678,1733,1779,1833,1887,1948,2002,2061,2128,2174,2217,2273,2332,2387,2453,2504,2564,2622,2685,2740,2800,2860,2920,3008,3072,3137,3205,3280,3370,3439,3514,3596,3676,3757,3835,3913,4003,4085,4181,4294,4384,4501,4605,4720,4832,4932,5052,5143,5239,5366,5490,5612,5741,5881,6034,6174,6326,6460,6604,6750,6913,7054,7207,7371,7524,7698,7887,8054,8196,8337,8495,8656,8810,8959,9118,9274,9452,9593,9749,9930,10082,10220,10388,10565,10720,10883,11030,11188,11357,11529,11686,11837,11983,12151,12326,12470,12606,12761,12938,13107,13306,13469,13654,13830,14015,14190,14392,14607,14795,14982,15226,15417,15627,15832,16045,16277,16543,16759,16991,17215,17461,17701,17944,18177,18368,18623,18851,19106,19341,19586,19827,20113,20349,20628,20876,21126,21407,21692,21972,22257,22561,22854,23173,23457,23782,24088,24399,24749,25093,25406,25723,26060,26432,26782,27149,27530,27926,28307,28692,29099,29512,29897,30289,30682,31071,31491,31962,32391,32855,33337,33828,34287,34775,35266,35793,36281,36795,37360,37929,38528,39094,39633,40198,40759,41315,41905,42475,43045,43613,44224,44871,45536,46172,46831,47462,48122,48752,49483,50225,50913,51657,52409,53185,53941,54734,55565,56417,57216,58024,58876,59777,60700,61605,62534,63515,64427,65299,66226,67172,68100,69153,70181,71220,72272,73341,74433,75507,76563,77736,78837,79985,81195,82356,83533,84767,85979,87166,88443,89705,91054,92401,93785,95181,96566,98014,99455,100912,102454,103903,105447,107102,108704,110382,112085,113725,115548,117267,119137,120920,122813,124726,126577,128503,130501,132429,134445,136490,138548,140620,142774,144944,147154,149384,151566,153887,156130,158412,160809,163267,165715,168297,170818,173348,175969,178708,181349,184113,186974,189845,192814,195735,198842,201979,205057,208217,211459,214763,218096,221418,224879,228338,231780,235366,238948,242627,246285,250029,253885,257859,261754,265774,269719,273673,277854,281944,286203,290542,294996,299388,303906,308436,312995,317580,322349,327274,332118,336966,342091,347043,352061,357227,362234,367421,372655,378108,383569,389136,394820,400513,406319,412069,418014,424071,430298,436658,443034,449475,455851,462459,469006,475770,482813,489658,496752,503911,511221,518715,526180,533745,541442,549398,557136,564966,573094,581337,589523,597981,606223,614835,623597,632264,641251,650217,659168,668257,677581,687012,696430,706274,715685,725580,735306,745122,755420,765636,776051,786635,797173,807964,819000,829970,841344,852627,864000,875539,887206,898946,910991,923021,935278,948068,960570,973192
1,1,1,1,1,1,4,6,9,12,15,19,20,21,28,35,39,43,47,55,61,70,79,84,96,104,116,124,134,143,157,170,177,183,192,197,209,217,224,232,242,249,255,257,261,266,273,277,279,281,289,293,298,301,304,309,314,317,321,322,324,330,331,336,339,342,348,356,362,368,378,389,399,410,420,434,441,451,460,474,491,509,525,537,551,561,570,594,608,626,645,666,690,718,754,771,800,830,853,882,907,949,976,1006,1040,1090,1138,1187,1231,1295,1342,1385,1431,1487,1549,1599,1658,1716,1786,1844,1911,1966,2029,2094,2148,2211,2259,2325,2385,2443,2503,2562,2622,2681,2733,2798,2862,2918,2980,3038,3094,3136,3188,3228,3275,3324,3378,3437,3497,3560,3621,3682,3732,3800,3861,3922,3964,4024,4117,4199,4268,4330,4411,4508,4605,4678,4766,4860,4944,5043,5137,5231,5334,5432,5538,5630,5720,5808,5919,6015,6136,6233,6353,6467,6586,6695,6803,6906,7001,7103,7216,7328,7437,7528,7630,7747,7848,7970,8080,8200,8318,8452,8575,8711,8839,8957,9106,9254,9413,9564,9738,9886,10054,10202,10395,10557,10706,10873,11046,11241,11445,11661,11855,12042,12244,12462,12694,12907,13115,13330,13549,13776,14019,14260,14489,14707,14966,15216,15479,15727,15982,16251,16533,16813,17088,17360,17631,17933,18220,18540,18855,19152,19452,19758,20090,20423,20779,21110,21468,21844,22191,22564,22903,23272,23608,23955,24349,24747,25141,25552,26000,26426,26853,27278,27692,28118,28509,28938,29374,29863,30282,30721,31207,31690,32194,32683,33139,33687,34191,34671,35255,35799,36312,36883,37405,37967,38557,39167,39781,40421,41093,41737,42391,43144,43894,44664,45387,46200,46965,47750,48579,49381,50250,51095,51958,52863,53805,54832,55802,56817,57779,58811,59882,60927,62000,63055,64171,65270,66362,67532,68664,69784,70923,72007,73180,74392,75601,76801,78087,79317,80557,81791,83004,84280,85560,86809,88117,89426,90780,92086,93509,94942,96419,97849,99335,100831,102327,103897,105504,107042,108669,110235,111828,113518,115200,116946,118690,120424,122205,124041,126034,127917,129824,131751,133764,135841,137922,139948,141999,144207,146320,148481,150654,152955,155205,157431,159766,162092,164353,166742,169292,171796,174271,176773,179267,181808,184466,187024,189634,192257,195106,197808,200646,203405,206287,209264,212193,215067,218057,221128,224201,227229,230495,233619,236902,240176,243477,246734,250184,253742,257301,260821,264466,268156,271808,275380,279170,282988,286841,290708,294496,298389,302267,306357,310524,314646,318809,323074,327563,332079,336492,340925,345621,350408,355174,359970,364860,369928,375036,380163,385445,390756,395960,401380,406551,412103,417746,423586,429437,435259,441089,447020,453174,459344,465600,471926,478366,484803,491390,498095,504852,511647,518600,525622,532805,539895,547177,554587,562132,569782,577510,585238,592994,600850,608711,616844,625066,633369,642037,650632,659427,668504,677668,686827,695881,705278,714667
1,1,1,1,1,1,1,2,4,10,13,16,19,25,28,29,37,42,50,56,64,74,77,80,89,98,107,117,125,130,138,145,154,164,170,182,190,195,205,212,219,224,230,238,242,249,257,264,269,276,282,288,292,302,305,308,313,320,327,333,346,358,363,374,388,407,422,448,465,487,507,531,542,563,590,625,652,678,705,723,749,772,808,832,864,888,917,957,983,1015,1047,1086,1115,1138,1160,1181,1204,1233,1261,1289,1314,1344,1369,1400,1424,1448,1476,1499,1523,1543,1578,1613,1638,1666,1696,1721,1746,1771,1791,1821,1850,1878,1907,1953,1986,2023,2065,2117,2164,2216,2270,2316,2357,2405,2456,2510,2575,2637,2681,2737,2800,2862,2925,2984,3030,3105,3176,3239,3326,3389,3453,3518,3595,3668,3745,3834,3917,3998,4073,4163,4250,4339,4426,4515,4608,4708,4809,4900,4993,5083,5186,5299,5413,5537,5661,5762,5897,6029,6156,6310,6444,6572,6700,6830,6969,7120,7265,7381,7527,7679,7830,7954,8091,8243,8382,8530,8691,8831,8990,9129,9281,9427,9597,9744,9894,10060,10218,10406,10587,10805,10989,11188,11371,11583,11783,11995,12221,12428,12655,12912,13171,13440,13689,13932,14219,14459,14736,15001,15292,15584,15889,16189,16512,16853,17150,17453,17774,18138,18432,18763,19097,19441,19787,20145,20453,20772,21141,21515,21901,22281,22654,23033,23424,23862,24265,24677,25113,25502,25920,26344,26768,27155,27594,28049,28533,28980,29502,29928,30354,30810,31237,31691,32113,32572,33046,33554,34025,34535,35046,35549,36029,36531,37019,37584,38166,38736,39368,39968,40596,41228,41882,42571,43275,43950,44625,45329,46010,46722,47417,48148,48929,49757,50569,51382,52186,53015,53923,54804,55708,56621,57513,58408,59344,60331,61310,62320,63262,64271,65356,66421,67521,68642,69735,70876,72024,73284,74441,75649,76885,78172,79475,80810,82108,83524,84888,86270,87708,89127,90598,92160,93757,95289,96871,98456,100110,101793,103534,105267,107003,108804,110658,112532,114433,116302,118297,120265,122269,124254,126225,128316,130429,132587,134760,136898,139116,141387,143593,145938,148224,150538,152874,155264,157691,160114,162657,165141,167694,170309,172966,175649,178323,181107,183974,186819,189640,192624,195667,198778,201906,205075,208287,211625,214946,218360,221844,225313,228805,232337,235971,239550,243201,246959,250667,254509,258322,262136,266068,270002,274120,278146,282407,286641,290831,295153,299454,304013,308480,312947,317501,322185,326888,331665,336524,341419,346461,351439,356378,361484,366766,371938,377382,382846,388207,393608,399054,404679,410361,416066,421902,427981,433997,440074,446286,452487,458847,465313,471845,478566,485489,492237,499120,506028,513043,520267,527615,534831,542165,549765,557412,565115,572908,580649,588582,596576,604745,612886,621395,630005,638626,647371,656138,665050,674050,683085,692300,701702,711053,720615,730352,740246,750249,760386,770669,781108,791523,802069,812816,823822,834900,846034,857296,868812,880527,892145,903992,915959,928086
1,1,1,1,1,1,3,7,7,7,7,9,12,16,22,25,27,31,36,43,48,55,62,79,96,113,124,142,162,178,201,225,242,259,283,307,321,348,370,396,430,463,495,515,535,562,587,617,650,682,715,728,762,790,809,831,854,871,891,917,937,958,983,1008,1030,1048,1068,1093,1113,1121,1137,1155,1167,1178,1191,1219,1247,1272,1295,1306,1333,1363,1385,1416,1438,1471,1498,1524,1559,1580,1612,1664,1699,1738,1774,1807,1838,1878,1912,1958,1995,2042,2079,2122,2176,2239,2304,2368,2439,2510,2589,2663,2733,2810,2871,2928,3009,3088,3182,3268,3350,3441,3522,3609,3691,3771,3857,3937,4029,4110,4209,4304,4389,4498,4597,4698,4800,4915,5016,5125,5213,5326,5457,5580,5707,5825,5941,6084,6218,6358,6503,6648,6788,6923,7056,7205,7362,7516,7689,7832,7964,8104,8270,8415,8563,8706,8840,8967,9125,9284,9424,9551,9715,9859,10007,10148,10289,10442,10612,10755,10922,11124,11309,11494,11688,11859,12059,12260,12455,12677,12899,13106,13322,13562,13808,14062,14319,14614,14874,15139,15407,15688,15986,16273,16590,16879,17162,17496,17792,18102,18397,18729,19047,19341,19656,19976,20308,20657,21013,21365,21729,22090,22482,22851,23197,23566,23942,24315,24704,25107,25522,25964,26370,26817,27235,27678,28111,28528,28933,29376,29826,30302,30765,31309,31787,32256,32834,33271,33750,34224,34713,35256,35798,36343,36900,37435,37998,38560,39135,39735,40308,40946,41547,42166,42780,43403,44035,44729,45381,45994,46625,47302,47989,48681,49421,50133,50879,51596,52361,53158,53943,54728,55484,56301,57175,58045,58968,59870,60859,61813,62811,63745,64772,65774,66815,67843,68948,69976,71008,72082,73109,74180,75276,76326,77470,78590,79740,80856,82031,83239,84473,85699,86932,88174,89449,90638,91919,93218,94584,95902,97330,98719,100112,101504,103023,104532,106100,107665,109287,110892,112529,114251,115934,117656,119373,121146,122992,124797,126663,128483,130393,132324,134235,136216,138285,140368,142526,144627,146774,148969,151216,153487,155709,158046,160454,162911,165380,167763,170214,172746,175389,177988,180604,183341,186140,188871,191738,194556,197390,200450,203479,206426,209442,212535,215693,218792,222031,225297,228653,231966,235344,238882,242412,246055,249813,253500,257292,261015,264885,268904,272945,276970,281146,285417,289753,294082,298456,302755,307255,311725,316284,320931,325746,330573,335429,340409,345311,350272,355267,360382,365607,370837,376096,381314,386753,392200,397759,403594,409215,415054,420810,426736,432606,438782,445041,451268,457633,464165,470750,477316,484082,490887,497828,504856,511993,519194,526497,533878,541376,549016,556664,564230,572079,580072,588111,596263,604451,612750,621318,630122,639047,647888,656717,665556,674611,683814,692992,702354,711955,721713,731459,741414,751225,761392,771765,782018,792489,803339,814210,825095,835998,847201,858605,870119,881556,893197,905181,917088,929246,941148,953587,966146,978721,991493,1004310,1017554,1031168,1044595,1058060,1071545,1085517,1099270,1113357,1127458,1141884,1156588,1171426
1,1,1,1,3,5,5,7,8,8,10,11,14,15,16,18,19,23,23,30,36,41,47,57,61,66,73,81,84,93,98,103,111,123,126,137,151,161,168,174,187,197,205,210,220,228,234,246,252,265,267,274,290,304,311,330,338,349,357,373,379,394,405,425,452,474,491,503,519,537,555,572,594,611,630,650,664,685,707,722,736,749,757,773,791,810,824,847,871,897,918,940,963,984,1010,1036,1059,1101,1134,1170,1200,1227,1258,1297,1333,1373,1416,1468,1511,1554,1601,1651,1701,1747,1795,1858,1919,1971,2027,2073,2146,2221,2282,2351,2405,2455,2531,2597,2667,2730,2786,2849,2902,2984,3045,3097,3165,3225,3302,3369,3424,3506,3587,3646,3719,3809,3877,3969,4042,4115,4192,4275,4354,4432,4545,4638,4707,4802,4889,4986,5063,5143,5224,5318,5407,5496,5575,5663,5756,5840,5956,6065,6194,6297,6394,6511,6628,6755,6860,7005,7144,7269,7417,7587,7726,7864,8009,8157,8302,8457,8614,8792,8969,9142,9332,9489,9651,9854,10031,10223,10396,10586,10792,10996,11193,11410,11641,11852,12088,12308,12580,12814,13070,13303,13539,13801,14086,14364,14664,14968,15263,15563,15883,16199,16512,16806,17174,17492,17873,18261,18618,19001,19348,19724,20068,20534,20919,21344,21771,22199,22646,23048,23503,23942,24397,24845,25352,25859,26362,26878,27377,27922,28483,29036,29581,30105,30629,31215,31815,32402,33031,33647,34294,34936,35520,36153,36776,37428,38070,38708,39362,40016,40692,41390,42064,42816,43548,44289,45032,45858,46662,47386,48165,48939,49781,50594,51412,52297,53198,54108,55014,55926,56839,57744,58667,59589,60526,61531,62582,63616,64667,65663,66730,67762,68846,69934,70978,72094,73139,74346,75524,76687,77871,79060,80317,81596,82926,84171,85527,86939,88350,89707,91163,92555,94060,95507,96963,98542,100033,101675,103288,104986,106654,108337,110006,111734,113529,115290,117089,118930,120833,122796,124747,126660,128681,130719,132744,134840,136990,139167,141299,143444,145586,147793,150083,152421,154808,157158,159547,162030,164302,166827,169308,171805,174343,176858,179535,182280,184962,187719,190428,193276,196195,199191,202282,205296,208308,211433,214524,217731,221100,224328,227670,231062,234491,238049,241571,245257,248834,252462,256117,259938,263818,267701,271675,275705,279733,283865,288054,292400,296647,301128,305510,309926,314336,318891,323648,328249,332987,337783,342705,347671,352702,357880,363146,368435,373885,379254,384786,390264,395944,401863,407624,413383,419448,425481,431767,438044,444538,451063,457633,464282,471031,477946,484649,491650,498494,505592,512893,520245,527477,534973,542550,550214,558135,565869,573829,582007,590284,598639,607075,615373,624070,632845,641711,650825,660138,669413,678748,688317,697938,707724,717549,727620,737712,747872,758339,768863,779433,790118,800886,811800,822860,834174,845361,856940,868612,880371,892226,904370,916732,929291,941818,954502,967338,980294,993527,1006979,1020505,1034229,1048084,1062210,1076696,1091280,1105930,1120958,1136188
1,1,1,1,1,3,3,4,4,5,6,7,8,10,11,12,14,14,14,14,14,14,16,18,22,22,25,27,28,29,30,31,33,36,36,41,46,47,50,58,60,63,70,72,74,79,83,86,91,100,109,115,119,134,143,151,161,166,179,189,195,205,212,223,228,236,246,260,270,283,288,298,309,321,328,336,347,361,380,398,404,415,428,445,461,481,505,524,547,560,581,603,626,655,683,715,742,769,794,839,881,922,959,1016,1067,1107,1151,1201,1246,1288,1336,1395,1440,1495,1537,1583,1634,1694,1748,1800,1851,1893,1953,2018,2075,2111,2152,2209,2263,2308,2352,2396,2438,2492,2550,2607,2663,2723,2770,2845,2907,2972,3045,3109,3172,3248,3319,3388,3478,3558,3640,3723,3802,3878,3958,4043,4125,4208,4297,4390,4492,4600,4717,4828,4930,5054,5167,5285,5419,5546,5679,5811,5942,6104,6262,6416,6589,6769,6943,7116,7315,7501,7680,7878,8068,8265,8444,8672,8886,9110,9365,9601,9833,10072,10319,10531,10761,10989,11234,11471,11726,11970,12241,12504,12760,13005,13287,13596,13857,14143,14416,14730,15025,15291,15590,15867,16183,16516,16848,17179,17480,17779,18092,18412,18700,19010,19334,19648,19948,20271,20588,20924,21268,21612,21945,22241,22588,22950,23286,23653,23984,24323,24716,25083,25476,25849,26213,26604,26957,27327,27732,28127,28533,28905,29280,29704,30080,30479,30880,31279,31708,32111,32537,32933,33363,33778,34195,34661,35131,35589,36060,36518,36988,37503,38008,38525,39030,39576,40134,40686,41235,41813,42429,43022,43620,44253,44912,45550,46255,46930,47595,48286,48986,49660,50350,51082,51762,52478,53190,53949,54731,55506,56312,57075,57871,58667,59463,60215,61008,61813,62638,63531,64369,65212,66054,66899,67741,68599,69492,70434,71379,72385,73349,74358,75289,76299,77273,78277,79348,80376,81430,82509,83543,84575,85700,86861,88042,89182,90377,91546,92691,93918,95073,96291,97529,98768,100077,101321,102627,103919,105248,106559,107921,109287,110738,112151,113534,115051,116517,117954,119506,121038,122621,124224,125727,127367,129066,130811,132499,134258,135964,137743,139505,141287,143153,145035,146992,149000,150925,152910,154862,156939,158940,160992,163186,165369,167687,169899,172184,174490,176796,179143,181605,184005,186401,188964,191528,194165,196763,199425,202128,204905,207658,210463,213343,216267,219208,222355,225541,228583,231787,235070,238371,241625,245059,248432,251795,255364,258947,262607,266293,270035,273824,277577,281452,285371,289272,293294,297307,301349,305376,309420,313533,317874,322159,326478,330939,335512,340076,344715,349404,354016,358678,363630,368547,373502,378594,383703,388833,394093,399582,405005,410602,416215,421732,427473,433286,439202,445213,451247,457348,463622,469905,476547,483101,489760,496517,503322,510217,517160,524159,531361,538744,546258,553874,561428,569222,576897,584854,593054,601137,609505,617794,626433,635222,644084,652895,661867,670914,680159,689708,699165,708561,718079,727809,737529,747384
1,1,5,6,7,8,9,11,17,19,24,24,25,28,31,35,35,38,41,42,45,51,54,58,64,65,67,71,73,78,92,103,109,110,114,127,135,141,151,164,176,181,188,196,211,221,238,247,269,285,302,326,346,375,392,419,448,479,509,542,569,605,634,663,693,717,745,786,832,872,917,963,1006,1042,1082,1128,1182,1222,1267,1313,1355,1403,1446,1483,1512,1557,1593,1629,1669,1716,1742,1780,1821,1879,1920,1959,1997,2046,2080,2110,2139,2178,2211,2250,2299,2332,2364,2411,2449,2496,2532,2577,2628,2670,2723,2767,2808,2848,2909,2958,2996,3032,3079,3138,3192,3249,3295,3348,3411,3462,3522,3588,3647,3726,3798,3868,3948,4033,4120,4222,4290,4397,4481,4567,4679,4780,4884,4983,5081,5187,5306,5421,5520,5633,5765,5875,5986,6087,6210,6325,6468,6610,6745,6868,6999,7128,7244,7374,7505,7649,7794,7956,8089,8240,8397,8546,8714,8876,9031,9197,9372,9565,9738,9918,10084,10273,10476,10696,10895,11109,11332,11558,11764,11979,12250,12511,12718,12948,13180,13463,13713,14006,14298,14584,14859,15142,15428,15707,15986,16281,16579,16853,17186,17489,17828,18175,18515,18873,19231,19628,20034,20449,20886,21316,21744,22209,22664,23119,23620,24075,24543,25082,25604,26072,26567,27098,27665,28241,28857,29425,30020,30609,31240,31827,32419,33054,33668,34271,34891,35544,36208,36917,37582,38296,38992,39728,40490,41227,42019,42803,43584,44393,45233,46072,46961,47831,48698,49559,50454,51385,52369,53367,54372,55366,56339,57311,58286,59290,60287,61277,62297,63366,64422,65486,66553,67654,68761,69889,70979,72168,73383,74555,75677,76851,78043,79220,80490,81854,83140,84496,85846,87277,88673,90096,91606,93066,94578,96183,97848,99488,101097,102763,104422,106128,107867,109643,111455,113174,114961,116789,118694,120624,122492,124421,126283,128216,130193,132137,134159,136200,138250,140328,142460,144541,146599,148818,151054,153283,155419,157715,160033,162428,164802,167152,169592,172060,174607,177154,179734,182422,185163,187875,190651,193455,196174,199033,201956,204840,207866,210814,213799,216902,220098,223309,226445,229707,232968,236331,239716,243047,246416,249785,253224,256664,260297,263950,267514,271299,275051,278826,282620,286514,290430,294401,298517,302758,307068,311284,315632,320096,324625,329152,333682,338247,342932,347591,352593,357378,362388,367381,372492,377722,383026,388347,393620,399086,404563,410159,415839,421520,427270,433201,439216,445313,451497,457662,463979,470391,476765,483292,489742,496280,502978,509911,516686,523802,530966,538180,545366,552784,560217,567823,575421,583181,591095,599006,607090,615405,623758,632268,640929,649548,658262,667190,676065,685107,694323,703743,713333,722972,732678,742790,752773,762947,773030,783459,793945,804500,815194,825962,836984,848167,859298,870543,881934,893212,904768,916684,928691,940490,952565,964905,977211,989933,1002348,1015030,1027975,1040992,1054169,1067401,1080955,1094633,1108431,1122455,1136448,1150703,1165209,1179936,1194853,1209805,1225079,1240104,1255482,1270876,1286471,1302519,1318485
1,1,1,1,1,3,5,6,8,14,14,18,23,28,35,42,51,56,68,78,85,98,106,114,131,141,154,161,172,181,194,208,220,233,247,254,267,275,282,292,301,312,324,331,342,354,362,372,386,404,416,431,447,460,476,488,496,505,522,537,548,560,573,587,601,611,632,644,663,674,688,707,729,747,767,788,810,845,878,898,930,958,987,1019,1059,1082,1113,1146,1173,1199,1235,1268,1306,1331,1354,1384,1425,1446,1488,1514,1549,1574,1604,1632,1666,1703,1738,1764,1789,1829,1860,1897,1939,1978,2014,2064,2112,2139,2174,2213,2261,2310,2364,2414,2477,2532,2577,2647,2707,2771,2840,2906,2965,3033,3099,3176,3249,3312,3387,3470,3544,3631,3706,3802,3868,3947,4036,4125,4222,4297,4394,4483,4560,4650,4742,4841,4923,5019,5095,5180,5258,5364,5479,5599,5717,5827,5937,6030,6126,6230,6358,6465,6581,6686,6817,6941,7042,7150,7286,7407,7538,7690,7823,7949,8094,8216,8356,8511,8646,8827,8993,9175,9375,9530,9692,9887,10117,10317,10506,10713,10910,11118,11326,11511,11725,11927,12150,12376,12593,12797,13038,13251,13496,13730,13978,14210,14479,14720,14973,15225,15477,15751,16030,16282,16546,16814,17086,17354,17655,17931,18236,18545,18852,19189,19519,19851,20178,20530,20879,21222,21598,22002,22336,22690,23039,23432,23828,24205,24588,24962,25389,25800,26231,26657,27097,27560,28019,28461,28925,29405,29919,30386,30918,31427,31971,32477,33010,33592,34156,34702,35303,35934,36568,37133,37729,38327,38956,39636,40309,40963,41680,42376,43034,43727,44435,45131,45849,46558,47348,48134,48924,49652,50477,51309,52202,53082,53934,54815,55761,56724,57687,58638,59639,60601,61600,62609,63712,64815,65915,67079,68190,69316,70499,71681,72833,74022,75203,76392,77593,78821,80093,81323,82663,84023,85359,86649,87989,89369,90742,92222,93642,95075,96603,98073,99520,100904,102442,104035,105610,107242,108899,110549,112222,113881,115535,117207,118880,120640,122356,124153,125933,127651,129483,131287,133110,135034,136892,138858,140775,142769,144786,146865,148902,151069,153261,155430,157677,159883,162193,164530,166788,169081,171438,173890,176469,179022,181719,184353,186990,189785,192495,195229,198121,201131,204030,207035,210141,213243,216291,219471,222651,225783,229174,232498,235853,239344,242855,246411,249967,253586,257367,261025,264803,268642,272408,276320,280304,284201,288314,292548,296789,300972,305178,309494,313729,318068,322598,327092,331587,336069,340826,345498,350139,354875,359808,364709,369626,374638,379715,384848,390001,395196,400501,405781,411144,416670,422197,427894,433573,439334,445138,451112,457052,463225,469518,475959,482432,488885,495483,502260,508998,515839,522804,529843,537015,544251,551562,558986,566486,574207,581931,589674,597504,605592,613587,621648,629945,638356,646915,655656,664317,673272,682226,691278,700535,709947,719289,728901,738751,748524,758411,768396,778424,788707,799272,810008,820824,831711,842744,853893,865178,876367,887733,899132,910664,922408,934232
1,1,1,1,1,1,2,2,4,6,10,11,11,14,19,21,24,32,38,44,52,59,68,76,83,93,100,104,115,128,144,154,167,179,191,199,210,219,235,245,256,271,288,305,319,343,362,385,403,424,439,452,468,487,509,534,555,586,616,641,665,680,711,736,764,795,834,874,912,948,988,1019,1054,1079,1109,1145,1190,1235,1272,1317,1359,1414,1450,1497,1539,1569,1604,1654,1719,1766,1811,1868,1913,1969,2022,2063,2112,2161,2207,2255,2317,2370,2421,2481,2531,2605,2656,2727,2792,2854,2935,3011,3088,3147,3235,3301,3384,3466,3546,3624,3728,3807,3889,3985,4071,4159,4247,4339,4439,4548,4636,4735,4847,4950,5051,5142,5238,5343,5453,5560,5671,5803,5905,6023,6123,6266,6389,6504,6608,6720,6855,6982,7098,7232,7343,7481,7601,7743,7884,8002,8126,8243,8369,8498,8623,8725,8845,8982,9106,9237,9344,9475,9605,9738,9878,9978,10125,10242,10364,10480,10608,10728,10848,10963,11074,11207,11334,11449,11579,11712,11839,11966,12116,12219,12325,12444,12569,12699,12818,12936,13089,13209,13367,13524,13703,13845,14011,14164,14302,14477,14648,14815,14978,15137,15311,15467,15658,15821,15979,16177,16369,16548,16742,16916,17079,17262,17476,17687,17895,18080,18278,18486,18699,18917,19119,19317,19535,19755,19987,20235,20437,20677,20914,21158,21408,21642,21891,22138,22389,22625,22889,23154,23421,23668,23954,24220,24516,24793,25073,25340,25658,25935,26269,26576,26920,27239,27569,27914,28240,28624,28956,29329,29684,30022,30369,30706,31106,31484,31854,32199,32565,32964,33327,33683,34043,34445,34806,35159,35509,35872,36236,36628,36985,37411,37770,38160,38529,38873,39237,39616,39955,40350,40728,41158,41556,41948,42314,42696,43120,43518,43901,44323,44709,45110,45514,45929,46369,46805,47269,47738,48208,48674,49157,49665,50183,50716,51229,51799,52352,52887,53538,54162,54754,55329,55902,56485,57097,57696,58327,58999,59665,60369,61044,61754,62438,63135,63859,64583,65321,66094,66883,67678,68449,69267,70042,70847,71655,72523,73395,74296,75243,76180,77085,78027,78981,79968,80935,81866,82939,83957,85014,86063,87134,88209,89347,90411,91503,92642,93794,94910,96052,97342,98564,99764,100952,102239,103470,104730,105981,107270,108550,109840,111209,112539,113845,115142,116546,117930,119271,120678,122143,123542,124961,126428,127933,129507,131108,132734,134380,136036,137662,139340,140970,142740,144460,146200,147967,149820,151678,153534,155416,157322,159264,161240,163236,165211,167318,169455,171590,173711,175951,178192,180572,182888,185177,187597,190032,192524,195003,197596,200218,202847,205518,208225,211011,213745,216453,219310,222179,225077,228072,231145,234241,237286,240418,243626,246894,250196,253610,256997,260530,264056,267604,271159,274924,278718,282580,286471,290431,294531,298587,302781,306937,311265,315557,319815,324296,328777,333284,337874,342548,347320,352161,356988,361906,366723,371731,376699,381761,386945,392099,397451,402858,408378,413833,419380,424971
1,1,1,1,1,1,5,8,9,11,15,16,17,20,20,24,26,32,43,46,51,59,64,72,83,90,100,108,118,128,136,143,154,165,174,178,185,193,197,204,208,220,227,229,233,240,248,253,256,266,272,279,283,287,294,301,308,315,322,327,338,342,349,359,371,376,385,397,404,414,423,437,446,457,467,473,482,497,506,521,532,547,557,574,590,598,609,626,637,649,664,678,694,710,733,746,760,775,785,800,813,835,852,871,891,907,921,933,941,956,963,977,987,995,1005,1014,1027,1034,1042,1051,1066,1075,1087,1091,1098,1109,1115,1130,1143,1152,1164,1175,1186,1203,1221,1242,1263,1278,1299,1312,1331,1353,1374,1401,1411,1427,1446,1465,1485,1507,1539,1558,1584,1610,1634,1661,1687,1714,1743,1767,1804,1841,1876,1917,1950,1995,2037,2084,2130,2189,2218,2282,2324,2370,2418,2472,2525,2573,2627,2665,2712,2762,2827,2876,2938,3001,3060,3115,3178,3234,3295,3349,3392,3444,3492,3566,3625,3687,3774,3835,3905,3976,4049,4129,4191,4261,4337,4417,4500,4592,4678,4776,4872,4990,5111,5208,5319,5419,5524,5644,5752,5848,5972,6091,6217,6340,6486,6622,6742,6895,7034,7171,7319,7463,7629,7778,7968,8147,8310,8496,8704,8925,9130,9321,9540,9783,9989,10218,10469,10685,10924,11168,11408,11679,11933,12198,12466,12752,13014,13295,13549,13834,14107,14404,14681,14983,15307,15599,15937,16268,16603,16953,17300,17714,18079,18422,18791,19189,19606,19974,20431,20853,21243,21722,22174,22655,23143,23612,24107,24600,25098,25607,26103,26659,27216,27760,28270,28806,29430,30028,30611,31224,31805,32470,33093,33745,34423,35075,35750,36444,37117,37810,38520,39217,39947,40703,41449,42211,42988,43737,44473,45232,45968,46758,47537,48351,49176,49930,50748,51519,52331,53170,53987,54806,55650,56496,57385,58229,59079,59932,60841,61779,62717,63632,64597,65505,66427,67398,68380,69423,70448,71513,72661,73716,74834,75949,77035,78198,79362,80572,81709,82929,84147,85381,86672,87932,89224,90590,91848,93177,94627,96001,97437,98878,100274,101765,103312,104850,106427,108052,109656,111244,112852,114507,116167,117827,119585,121312,123073,124874,126737,128641,130591,132547,134552,136633,138676,140750,142828,144986,147116,149336,151545,153742,156015,158392,160720,163188,165618,168068,170639,173203,175851,178574,181276,183955,186742,189662,192639,195645,198675,201758,204873,208062,211198,214476,217774,221051,224321,227748,231238,234855,238499,242136,245879,249655,253394,257182,261108,264986,268920,273145,277309,281445,285532,290009,294422,298857,303383,308023,312718,317386,322022,326884,331865,336953,342055,347234,352480,357743,363153,368695,374191,379786,385487,391265,397113,403051,409189,415382,421767,428054,434448,441142,447598,454373,461182,468079,475174,482240,489472,496657,504023,511523,519162,526869,534657,542596,550551,558588,566841,575069,583495,591909,600553,609255,618102
1,1,1,1,3,5,6,8,10,15,15,17,20,21,25,29,39,43,49,56,59,64,67,72,79,84,93,101,111,119,127,132,146,156,163,171,179,189,198,204,213,218,227,235,248,253,263,273,278,290,294,300,314,323,338,346,349,355,367,374,379,387,400,408,419,426,434,446,456,473,484,488,505,519,523,539,551,559,573,586,604,614,627,644,658,683,706,728,755,785,799,832,879,921,961,998,1031,1069,1113,1171,1219,1274,1324,1378,1441,1490,1556,1615,1684,1754,1816,1892,1961,2030,2113,2181,2245,2310,2382,2451,2523,2595,2676,2755,2832,2897,2975,3041,3104,3163,3233,3312,3383,3432,3505,3591,3658,3739,3816,3894,3960,4056,4130,4210,4285,4370,4436,4527,4614,4700,4805,4904,4993,5127,5256,5364,5471,5576,5694,5817,5918,6038,6155,6299,6409,6524,6635,6761,6878,6995,7119,7235,7344,7455,7553,7664,7766,7867,7957,8067,8186,8291,8388,8511,8623,8748,8875,8972,9088,9200,9308,9438,9545,9701,9823,9969,10107,10222,10329,10456,10592,10721,10870,11008,11126,11240,11367,11493,11642,11771,11893,12032,12185,12327,12474,12615,12782,12942,13124,13300,13465,13619,13819,13977,14151,14343,14537,14742,14940,15158,15386,15610,15848,16114,16338,16560,16809,17089,17339,17614,17909,18183,18447,18719,18984,19277,19567,19845,20156,20441,20761,21074,21430,21710,22044,22361,22670,23020,23375,23718,24053,24404,24761,25129,25482,25838,26192,26554,26951,27337,27703,28092,28516,28918,29333,29734,30179,30604,31043,31457,31863,32314,32725,33185,33658,34165,34662,35144,35634,36164,36678,37245,37788,38380,38957,39513,40107,40692,41277,41851,42443,43084,43677,44310,44988,45609,46295,46941,47620,48268,48936,49633,50309,51008,51754,52454,53172,53910,54628,55359,56130,56867,57657,58449,59202,59948,60762,61588,62390,63220,64090,64944,65838,66678,67595,68490,69435,70367,71322,72292,73249,74224,75188,76165,77192,78260,79313,80374,81432,82508,83628,84760,85878,86984,88123,89292,90479,91679,92915,94237,95459,96665,97929,99231,100603,101922,103251,104638,106018,107385,108715,110165,111675,113179,114664,116167,117676,119279,120863,122482,124185,125803,127472,129218,130958,132777,134669,136534,138434,140255,142172,144125,146032,148084,150040,152015,154040,156002,158118,160277,162432,164667,166837,169077,171300,173601,175854,178215,180589,182938,185295,187786,190271,192826,195404,198036,200570,203203,205787,208476,211160,213881,216655,219479,222357,225252,228252,231363,234456,237480,240561,243696,246837,250074,253338,256729,260115,263548,267006,270505,274042,277536,281219,284817,288576,292335,296098,299902,303807,307744,311675,315684,319812,323907,328074,332205,336536,340917,345341,349853,354422,359025,363775,368655,373508,378392,383330,388340,393516,398674,404019,409553,414968,420464,426106,431682,437340,443038,448963,454878,460644,466696,472720,478814,485078,491283,497767,504226,510729,517277,523841,530523,537350,544317,551264,558165,565393
1,1,1,1,5,9,11,11,13,15,19,24,25,30,36,41,44,46,52,54,60,64,71,79,94,105,109,122,128,135,139,145,147,151,162,172,180,186,194,199,207,211,217,223,227,235,239,245,251,261,265,275,279,290,296,306,316,324,334,346,358,367,380,404,418,441,457,480,508,523,544,558,576,596,616,631,645,661,687,709,729,762,781,803,832,858,882,900,925,960,985,1009,1029,1057,1094,1109,1137,1178,1203,1231,1258,1291,1337,1362,1392,1420,1471,1516,1559,1605,1648,1686,1737,1781,1835,1885,1942,1985,2032,2089,2133,2192,2245,2297,2345,2409,2457,2492,2550,2596,2656,2715,2759,2828,2884,2936,3001,3063,3124,3199,3248,3311,3380,3437,3500,3564,3637,3702,3780,3858,3930,3992,4068,4152,4228,4300,4393,4470,4556,4641,4737,4816,4900,4976,5062,5168,5260,5355,5444,5549,5657,5763,5858,5961,6063,6179,6293,6427,6541,6658,6777,6895,7015,7140,7279,7395,7520,7629,7740,7872,8026,8162,8289,8418,8554,8705,8835,8980,9139,9283,9435,9581,9727,9879,10025,10197,10357,10518,10669,10831,10992,11188,11365,11530,11682,11867,12029,12215,12406,12573,12792,12975,13134,13301,13511,13742,13962,14145,14338,14531,14745,14937,15135,15329,15553,15741,15971,16201,16415,16625,16843,17067,17288,17482,17697,17930,18128,18345,18532,18753,18958,19176,19395,19635,19844,20062,20263,20493,20739,20982,21225,21456,21705,21943,22195,22454,22725,22968,23288,23565,23855,24157,24460,24768,25043,25344,25625,25936,26223,26541,26871,27176,27494,27785,28084,28404,28711,29030,29354,29666,29980,30335,30655,30997,31330,31656,31991,32372,32687,33047,33406,33799,34202,34624,34991,35406,35813,36234,36626,37007,37418,37836,38286,38715,39168,39615,40088,40513,40984,41428,41910,42404,42904,43398,43886,44369,44848,45335,45855,46376,46877,47392,47917,48435,48965,49537,50084,50671,51247,51824,52377,52947,53534,54127,54745,55375,56021,56662,57277,57847,58530,59207,59854,60533,61184,61876,62539,63246,63953,64675,65362,66127,66838,67595,68354,69092,69933,70768,71584,72384,73231,74098,74962,75794,76719,77627,78568,79551,80464,81438,82378,83307,84253,85190,86233,87264,88250,89285,90307,91342,92366,93445,94492,95529,96607,97745,98822,99896,101079,102277,103441,104678,105914,107114,108392,109626,110929,112160,113420,114755,116165,117588,119015,120480,121906,123450,124976,126459,128088,129677,131208,132790,134427,136252,137991,139765,141507,143342,145297,147203,149106,151029,152978,155109,157250,159433,161562,163688,165886,168148,170372,172702,175203,177692,180160,182581,185038,187606,190247,192812,195558,198300,201009,203831,206844,209689,212587,215530,218534,221576,224733,227813,230977,234182,237505,240707,244115,247464,250918,254529,258012,261624,265252,268950,272646,276288,280071,283936,287876,291848,295982,300073,304091,308127,312239,316452,320772,325136,329574,333931,338395,342797,347273,351800,356560,361415,366194
1,1,1,1,1,1,2,5,8,9,11,13,13,13,15,16,19,20,21,29,37,48,49,57,60,65,71,79,86,90,91,96,108,114,123,130,141,148,154,161,166,173,180,188,199,206,214,219,225,228,229,231,236,240,248,253,262,264,267,271,277,281,283,285,289,292,295,298,298,299,302,304,305,306,309,312,313,313,315,318,319,320,325,327,328,330,333,340,343,351,359,362,366,373,375,380,387,396,398,405,416,429,441,450,461,473,483,492,506,511,528,539,554,569,584,595,607,619,629,642,654,671,688,703,716,733,740,756,765,780,799,816,827,848,868,886,899,914,944,975,994,1012,1040,1055,1076,1094,1127,1144,1158,1175,1203,1238,1261,1281,1307,1337,1362,1391,1417,1440,1462,1480,1509,1543,1585,1619,1656,1698,1735,1776,1810,1855,1905,1948,1989,2025,2066,2113,2164,2225,2271,2318,2382,2439,2483,2545,2611,2663,2726,2780,2831,2904,2967,3039,3097,3161,3214,3270,3343,3415,3483,3564,3650,3730,3804,3894,3981,4063,4146,4211,4337,4412,4523,4625,4718,4818,4923,5039,5141,5271,5387,5501,5613,5718,5827,5928,6043,6165,6264,6392,6519,6648,6787,6925,7054,7182,7309,7440,7599,7748,7878,7992,8141,8304,8474,8605,8763,8933,9111,9277,9458,9607,9758,9907,10078,10245,10421,10581,10774,10953,11115,11286,11460,11640,11816,11995,12178,12396,12603,12801,12984,13191,13384,13576,13778,13993,14203,14399,14616,14830,15042,15224,15436,15634,15819,16008,16231,16449,16687,16922,17132,17395,17651,17924,18176,18435,18705,19005,19342,19720,20074,20428,20744,21092,21435,21770,22101,22461,22827,23218,23594,23988,24408,24826,25262,25667,26044,26489,26880,27284,27692,28135,28549,28945,29367,29796,30231,30674,31133,31607,32083,32557,33050,33535,34000,34488,35031,35523,36070,36593,37135,37641,38163,38704,39253,39882,40435,41042,41604,42197,42742,43314,43892,44513,45156,45773,46375,47044,47694,48362,49023,49680,50342,51024,51749,52454,53101,53798,54466,55204,55893,56602,57323,58058,58787,59554,60316,61082,61878,62678,63498,64283,65100,65967,66805,67671,68538,69427,70357,71342,72239,73219,74169,75118,76076,77077,78019,79058,80079,81153,82149,83264,84381,85508,86627,87806,88966,90089,91220,92389,93578,94774,95954,97231,98439,99729,100924,102199,103482,104713,105953,107224,108551,109896,111232,112555,113924,115223,116544,117976,119407,120810,122305,123711,125190,126684,128137,129728,131291,132874,134474,136035,137591,139309,141013,142721,144411,146204,147923,149640,151473,153361,155135,156962,158798,160644,162572,164513,166527,168551,170621,172646,174779,176903,178899,181102,183281,185509,187699,189982,192264,194609,196897,199100,201385,203739,206051,208494,210982,213386,215810,218306,220785,223345,225940,228471,231076,233709,236372,239054,241835,244485,247187,250014,252820,255622,258427
1,1,1,1,3,4,6,6,10,14,20,24,26,31,38,45,52,63,72,84,96,106,120,133,152,169,186,202,218,236,244,258,274,297,307,329,345,359,378,394,415,439,452,468,484,502,514,536,555,579,601,620,642,665,683,698,720,746,780,812,832,865,899,934,968,1000,1036,1065,1100,1146,1188,1230,1283,1325,1374,1423,1463,1526,1580,1647,1717,1770,1838,1893,1963,2048,2111,2189,2242,2312,2387,2464,2544,2625,2693,2756,2829,2912,3002,3101,3189,3282,3367,3471,3557,3652,3753,3838,3928,4003,4109,4200,4303,4409,4510,4620,4723,4824,4928,5027,5142,5234,5342,5443,5545,5640,5722,5830,5936,6053,6160,6261,6381,6498,6602,6717,6837,6952,7066,7192,7332,7445,7590,7718,7844,7972,8107,8267,8411,8581,8731,8880,9025,9165,9310,9448,9576,9728,9887,10024,10185,10306,10426,10555,10671,10808,10952,11105,11235,11359,11485,11635,11774,11919,12081,12218,12370,12542,12692,12891,13080,13262,13465,13666,13841,14038,14231,14426,14646,14852,15076,15344,15599,15836,16069,16318,16581,16836,17115,17381,17651,17942,18240,18563,18842,19138,19448,19776,20083,20348,20693,21013,21327,21679,22029,22378,22762,23129,23502,23874,24245,24631,25011,25431,25848,26222,26607,27041,27481,27938,28370,28788,29245,29714,30182,30668,31209,31730,32276,32837,33379,33953,34536,35125,35719,36312,36891,37492,38167,38838,39519,40213,40902,41631,42357,43057,43829,44563,45352,46125,46908,47668,48436,49218,49984,50764,51548,52371,53206,54040,54868,55755,56618,57498,58363,59264,60107,60966,61912,62918,63903,64880,65877,66897,67909,68969,70060,71188,72343,73473,74695,75858,77066,78336,79656,80911,82218,83509,84860,86275,87681,89133,90563,92034,93561,95166,96717,98317,99887,101489,103144,104810,106504,108160,109868,111592,113313,115128,117049,118760,120549,122463,124310,126333,128320,130219,132319,134314,136373,138450,140550,142716,144838,147057,149247,151509,153940,156302,158669,161148,163558,165962,168407,170911,173438,176051,178742,181449,184106,186748,189427,192210,194970,198029,201093,204138,207108,210236,213353,216616,219871,223097,226412,229781,233289,236793,240402,244000,247630,251398,255028,258884,262660,266479,270440,274360,278397,282448,286558,290764,294961,299156,303379,307700,312052,316468,321010,325565,330098,334748,339370,344023,348726,353559,358422,363261,368281,373334,378424,383532,388821,394211,399590,405105,410749,416466,422085,427922,433726,439748,445689,451834,458049,464450,470740,477256,483801,490438,497242,504029,510789,517865,524826,532038,539280,546708,554030,561514,569092,576696,584411,592105,599860,607788,615679,623861,632164,640633,649161,657789,666550,675405,684388,693435,702615,711984,721522,731239,740948,750720,760699,770849,780997,791268,801605,812309,823250,834158,845267,856352,867546,878997,890738,902360,914077,926152,938382,950543,962768,975555,988265,1001243,1014463,1027754,1041185,1054689,1068500,1082537,1096708,1111081,1125564,1140125,1154787,1169603,1184711,1200135,1215483,1231194,1247105,1263007,1279104,1295446,1311849,1328507,1345449,1362436,1379591
1,1,1,2,3,6,7,8,8,9,9,9,10,16,17,20,23,28,30,33,39,42,48,50,56,60,65,73,76,82,89,101,110,125,136,147,152,159,168,176,185,200,210,225,242,248,257,270,281,296,313,326,349,370,385,403,418,441,451,469,484,496,515,524,541,553,566,578,601,612,632,645,663,681,703,725,746,756,776,796,820,841,868,885,904,924,944,963,983,1012,1044,1063,1080,1098,1119,1145,1172,1191,1215,1235,1262,1276,1303,1319,1339,1351,1367,1387,1403,1426,1441,1467,1483,1498,1518,1531,1548,1564,1585,1604,1622,1644,1659,1669,1688,1706,1723,1734,1756,1770,1781,1799,1816,1833,1840,1854,1868,1885,1897,1915,1928,1947,1969,1995,2005,2019,2039,2061,2071,2087,2109,2129,2155,2176,2197,2214,2233,2255,2262,2271,2291,2311,2326,2338,2357,2376,2387,2403,2421,2436,2450,2466,2482,2502,2526,2556,2583,2613,2644,2670,2692,2719,2743,2770,2788,2813,2839,2859,2883,2916,2947,2976,3013,3034,3065,3091,3131,3166,3201,3248,3289,3330,3380,3421,3457,3505,3549,3612,3657,3704,3764,3827,3885,3949,4011,4078,4140,4213,4287,4351,4421,4507,4600,4674,4747,4858,4956,5057,5151,5265,5353,5444,5559,5661,5782,5884,6012,6124,6230,6342,6488,6588,6676,6799,6899,7021,7144,7263,7383,7501,7623,7729,7833,7968,8063,8167,8272,8389,8506,8609,8734,8851,8967,9057,9173,9296,9396,9532,9667,9799,9927,10059,10190,10298,10411,10542,10685,10830,10959,11089,11228,11367,11498,11619,11764,11914,12056,12211,12360,12524,12691,12871,13027,13194,13391,13581,13793,14012,14222,14415,14634,14852,15078,15303,15522,15722,15949,16218,16486,16785,17065,17360,17649,17948,18241,18549,18846,19098,19406,19723,20041,20369,20684,21016,21340,21682,22004,22325,22665,22978,23277,23623,24003,24373,24732,25109,25516,25905,26279,26655,27062,27461,27863,28296,28727,29161,29588,29991,30416,30844,31301,31779,32245,32747,33264,33768,34267,34778,35300,35856,36439,37042,37596,38194,38779,39376,39972,40647,41328,41973,42687,43367,44074,44784,45472,46240,47031,47773,48519,49273,50055,50844,51683,52522,53384,54242,55060,55844,56709,57595,58457,59372,60236,61175,62072,63005,64021,65082,66124,67198,68306,69441,70649,71884,73076,74302,75585,76875,78154,79527,80948,82387,83859,85317,86760,88331,89855,91417,93002,94537,96154,97772,99365,101013,102645,104321,106008,107769,109577,111340,113178,115014,116833,118852,120854,122861,124840,126979,129148,131293,133472,135665,137936,140207,142525,144811,147119,149566,152036,154531,156967,159393,161879,164364,166909,169598,172146,174853,177477,180217,183019,185896,188700,191665,194667,197734,200805,203848,207015,210179,213422,216752,220099,223342,226656,230013,233417,236954,240600,244174,247848,251413,255101,258909,262692,266520,270472,274424,278442,282470,286646,290983,295243,299455,303904,308358,312907
1,1,2,2,2,2,3,5,8,9,14,15,15,15,18,18,18,23,29,33,48,53,62,73,84,95,108,118,134,145,158,168,189,201,215,230,240,265,287,311,328,354,377,390,422,445,466,501,529,563,586,613,640,672,701,725,762,792,824,856,884,913,951,991,1032,1067,1097,1132,1165,1192,1217,1246,1273,1307,1339,1382,1422,1466,1511,1561,1600,1653,1696,1740,1790,1857,1918,1972,2027,2073,2134,2174,2231,2277,2326,2379,2435,2494,2551,2610,2657,2723,2775,2838,2901,2966,3042,3107,3169,3247,3324,3414,3528,3621,3729,3847,3971,4084,4206,4329,4471,4598,4726,4860,4993,5145,5287,5437,5578,5720,5849,5985,6112,6236,6365,6501,6634,6778,6918,7038,7162,7332,7478,7614,7763,7908,8081,8224,8380,8542,8708,8907,9104,9264,9452,9636,9849,10055,10261,10455,10710,10920,11162,11379,11630,11863,12105,12349,12565,12776,13033,13294,13545,13802,14081,14329,14594,14843,15088,15347,15613,15861,16124,16447,16750,17040,17327,17609,17885,18170,18434,18772,19066,19355,19681,20015,20288,20589,20892,21175,21520,21820,22156,22450,22770,23133,23490,23846,24184,24570,24938,25342,25750,26164,26567,26968,27405,27835,28279,28718,29165,29628,30058,30530,30992,31511,32013,32571,33156,33691,34207,34716,35245,35809,36411,37024,37626,38184,38816,39479,40111,40785,41408,42024,42671,43359,44068,44777,45427,46127,46879,47618,48376,49096,49832,50638,51393,52196,53013,53783,54606,55440,56322,57144,58010,58913,59802,60702,61612,62549,63497,64493,65518,66502,67491,68549,69587,70658,71775,72919,74056,75235,76474,77644,78842,80027,81196,82374,83549,84726,85899,87156,88387,89631,90893,92191,93484,94780,96101,97475,98783,100131,101500,102855,104314,105732,107129,108662,110079,111568,113023,114541,116015,117536,119068,120635,122277,124002,125695,127489,129351,131170,132895,134727,136652,138567,140462,142461,144497,146614,148758,150963,152996,155148,157400,159576,161813,164094,166463,168839,171313,173789,176424,179053,181689,184423,187107,189844,192707,195545,198345,201281,204397,207374,210539,213767,217023,220248,223627,226986,230429,233818,237142,240514,244008,247518,250999,254611,258381,262211,266095,269911,273720,277690,281699,285790,289906,294063,298367,302753,307094,311362,315763,320181,324716,329250,333762,338534,343376,348264,353052,357927,362905,367889,373168,378461,383838,389161,394754,400237,405847,411630,417435,423180,429044,435210,441276,447295,453592,460011,466338,472896,479596,486250,492848,499765,506920,513900,521024,528261,535606,543055,550524,557983,565658,573301,581174,589083,597123,605219,613470,621796,630068,638362,646957,655549,664477,673460,682376,691423,700611,710011,719255,728775,738356,748190,758075,768047,778204,788585,799046,809484,820099,830862,841795,852764,864099,875353,886758,898092,909832,921451,933439,945428,957784,969946,982606,994896,1007619,1020551,1033481,1046490,1059700,1072910,1086335,1099830,1113515,1127424,1141562,1155713,1170073,1184400,1199006,1213829,1228813,1243810,1258799,1274147,1289739,1305502,1321492,1337571,1353695,1370143,1386554,1403330,1420281
1,1,1,1,1,1,1,6,7,8,10,14,18,25,25,31,33,41,46,49,54,62,72,75,81,89,94,105,111,117,126,135,142,149,156,168,179,188,199,203,217,229,238,246,257,282,303,322,333,343,357,370,384,413,438,454,470,492,516,534,561,585,610,641,667,698,734,756,773,798,825,848,878,898,926,946,979,1012,1042,1068,1100,1126,1157,1186,1214,1245,1273,1303,1338,1384,1423,1466,1495,1526,1563,1604,1645,1691,1741,1785,1828,1869,1915,1957,2003,2059,2106,2164,2226,2280,2334,2399,2448,2497,2544,2593,2658,2730,2795,2863,2920,2981,3038,3122,3196,3265,3335,3405,3497,3588,3679,3765,3850,3940,4017,4094,4184,4274,4353,4434,4528,4601,4689,4779,4879,4948,5029,5108,5207,5304,5389,5482,5559,5639,5745,5848,5944,6044,6145,6263,6369,6500,6604,6728,6842,6955,7096,7238,7358,7502,7640,7803,7960,8114,8263,8420,8596,8753,8949,9110,9287,9439,9637,9812,10006,10215,10413,10586,10785,10977,11161,11350,11533,11742,11940,12138,12324,12520,12682,12865,13070,13268,13462,13650,13831,14022,14241,14430,14623,14828,15043,15233,15411,15636,15812,15993,16204,16399,16583,16793,17002,17221,17440,17691,17914,18163,18391,18648,18881,19130,19356,19618,19866,20142,20422,20680,20966,21256,21525,21812,22097,22387,22665,22987,23253,23537,23797,24096,24419,24714,25022,25360,25686,25999,26343,26676,27030,27347,27721,28063,28450,28788,29133,29504,29905,30312,30685,31079,31488,31866,32261,32714,33117,33545,33990,34447,34901,35386,35854,36362,36855,37381,37882,38425,38986,39542,40098,40622,41222,41779,42355,42988,43579,44185,44866,45497,46129,46764,47423,48079,48783,49501,50246,50975,51701,52400,53183,53919,54714,55509,56322,57122,57940,58755,59661,60547,61413,62307,63248,64217,65197,66165,67163,68189,69288,70339,71437,72468,73559,74704,75903,77093,78340,79599,80912,82226,83473,84826,86150,87429,88813,90113,91404,92811,94245,95700,97174,98644,100096,101633,103139,104728,106243,107847,109504,111054,112735,114417,116202,117964,119735,121560,123354,125216,127069,129047,131033,133072,135175,137262,139449,141620,143755,146087,148363,150675,153065,155431,157953,160425,162962,165482,168075,170714,173402,176113,178856,181684,184456,187197,190098,192982,195912,198850,201812,204847,207924,211198,214353,217614,220821,224138,227619,231052,234483,237905,241455,245039,248690,252468,256158,260071,263927,267854,271891,275767,279792,283903,287983,292191,296405,300650,305089,309476,313802,318200,322736,327486,332204,336992,341821,346635,351596,356553,361761,367047,372243,377383,382731,388002,393438,399115,404718,410440,416202,422126,428042,434152,440453,446724,452962,459478,466067,472629,479390,486216,493194,500440,507616,514832,522218,529686,537356,545089,552889,560565,568332,576467,584435,592668,600919,609478,617840,626298,634694,643287,652029,660716,669586,678661,687752,697130,706409,715834,725194,735046,744661,754491,764467,774743,785048,795298,805780,816247,827093,838011,849095
1,1,3,6,11,13,15,18,19,21,24,29,33,37,38,39,47,49,59,64,77,86,88,99,108,118,125,136,140,149,160,167,170,176,184,194,206,217,226,230,235,242,251,259,263,271,278,291,298,309,319,333,346,357,378,398,417,439,461,479,496,530,556,583,609,646,678,705,743,773,804,844,887,933,971,1007,1057,1098,1136,1183,1228,1279,1322,1367,1422,1467,1507,1557,1614,1654,1710,1771,1815,1873,1913,1964,2029,2096,2171,2232,2305,2367,2440,2505,2579,2647,2702,2795,2871,2949,3027,3110,3198,3272,3342,3415,3469,3532,3615,3675,3739,3811,3890,3979,4057,4142,4216,4316,4420,4498,4582,4668,4743,4843,4948,5049,5148,5237,5331,5412,5512,5631,5737,5860,5968,6092,6210,6330,6453,6574,6693,6821,6955,7084,7223,7369,7509,7658,7808,7943,8071,8191,8326,8463,8608,8716,8856,8975,9096,9218,9349,9475,9578,9716,9817,9933,10071,10187,10306,10431,10550,10677,10818,10956,11097,11234,11376,11513,11656,11839,11990,12160,12302,12462,12610,12789,12962,13152,13345,13538,13739,13957,14169,14380,14589,14819,15045,15266,15518,15752,15997,16238,16490,16719,16972,17207,17464,17730,18000,18289,18577,18858,19145,19422,19713,19976,20268,20558,20864,21162,21485,21777,22132,22468,22859,23177,23483,23862,24245,24623,25005,25420,25821,26244,26641,27047,27472,27883,28305,28734,29137,29546,29982,30411,30832,31298,31748,32145,32571,32999,33441,33936,34395,34835,35263,35733,36205,36666,37147,37665,38197,38734,39279,39799,40359,40857,41444,42014,42570,43168,43717,44331,44945,45562,46155,46809,47468,48121,48757,49411,50091,50750,51451,52182,52878,53588,54332,55013,55794,56540,57316,58129,58948,59705,60520,61353,62212,62997,63796,64696,65579,66439,67370,68277,69258,70196,71125,72127,73121,74116,75200,76247,77319,78399,79488,80613,81818,83009,84238,85502,86787,88124,89390,90679,92027,93353,94672,96083,97438,98942,100373,101879,103325,104788,106263,107787,109329,110892,112476,114037,115614,117244,118974,120600,122298,124034,125826,127631,129455,131302,133158,135078,136988,139012,141048,143054,145001,147184,149407,151545,153833,156030,158240,160518,162876,165277,167599,170114,172662,175347,177971,180619,183241,185814,188505,191141,193865,196685,199488,202454,205348,208384,211353,214371,217419,220581,223818,227099,230508,233896,237380,240898,244455,248132,251927,255596,259361,263237,267165,271052,275043,279155,283281,287482,291711,295969,300314,304596,309046,313476,318168,322853,327652,332277,336982,341911,346856,351942,357103,362196,367345,372504,377692,383099,388676,394345,400141,405812,411719,417724,423715,429780,435961,442276,448691,455134,461722,468229,475034,481832,488980,495991,503010,510215,517340,524661,532073,539650,547173,554863,562719,570692,578701,586887,595095,603443,611959,620519,629110,637745,646495,655357,664304,673459,682616,691955,701272,710656,720402,729718,739230,748884,758712,768584,778668,788600,798718,809031,819459,829842,840473,851003,861813,872691,883773,894833,906250
1,1,1,1,1,1,1,3,4,6,6,7,8,9,10,12,13,14,16,17,19,24,26,29,30,33,41,50,53,58,64,67,80,88,95,103,111,121,129,143,149,154,168,175,182,195,205,215,223,235,239,249,255,258,270,282,297,313,325,339,349,357,379,397,411,431,443,458,491,512,544,569,600,633,669,705,736,767,805,846,910,963,1009,1058,1101,1157,1196,1253,1306,1369,1416,1465,1531,1585,1636,1696,1760,1817,1859,1919,1973,2032,2106,2170,2231,2298,2367,2429,2494,2572,2661,2746,2822,2907,2984,3067,3160,3250,3343,3479,3572,3673,3782,3906,4015,4134,4259,4356,4459,4585,4679,4786,4903,5026,5142,5269,5405,5506,5611,5745,5858,6008,6138,6291,6434,6568,6698,6862,7008,7158,7323,7481,7656,7796,7951,8148,8315,8498,8683,8878,9062,9265,9472,9657,9868,10099,10313,10574,10787,11021,11256,11478,11718,11953,12213,12495,12733,12998,13264,13536,13810,14041,14294,14561,14819,15070,15319,15590,15873,16146,16414,16691,16975,17290,17546,17834,18116,18379,18698,18997,19279,19563,19867,20137,20455,20771,21109,21429,21775,22116,22465,22823,23159,23573,23934,24332,24746,25134,25555,25975,26408,26829,27237,27678,28114,28552,29041,29477,29946,30397,30854,31313,31800,32265,32765,33226,33691,34227,34715,35204,35710,36177,36602,37103,37683,38210,38751,39288,39844,40396,40978,41528,42108,42704,43302,43887,44504,45095,45682,46308,46994,47618,48254,48972,49654,50338,51029,51723,52405,53103,53764,54468,55159,55892,56611,57350,58116,58914,59682,60446,61238,62032,62860,63723,64535,65382,66214,67095,67978,68847,69699,70592,71494,72420,73346,74285,75253,76229,77187,78174,79164,80120,81074,82053,83016,84001,84991,85993,86999,87928,88998,90039,91054,92090,93195,94298,95330,96480,97602,98739,99831,100985,102158,103345,104528,105638,106840,108073,109295,110527,111754,112956,114289,115555,116886,118201,119535,120987,122406,123866,125277,126719,128222,129731,131232,132757,134279,135822,137410,138936,140683,142378,144055,145764,147481,149180,150950,152671,154476,156248,158054,159994,161902,163803,165806,167823,169741,171752,173782,175955,178102,180256,182483,184788,187025,189291,191615,193961,196483,198961,201390,203945,206490,209129,211736,214358,217053,219804,222486,225335,228214,231057,233933,236860,239887,243061,246171,249271,252427,255652,258944,262260,265670,269192,272586,276186,279799,283587,287371,291217,295146,299147,303392,307584,311753,315949,320231,324580,329012,333335,337749,342354,346942,351741,356601,361409,366394,371257,376124,381204,386258,391376,396625,401896,407168,412598,417996,423490,429029,434711,440472,446394,452370,458205,464169,470235,476311,482591,489097,495658,502199,508868,515648,522444,529442,536341,543530,550827,558236,565648,573155,580716,588433,595972,603829,611757,619844,628196,636630,645101,653659,662184,670874,679860,688858,697990,707077,716411,725876,735342,744981,754751,764728,774716,784527,794821,805353,815860,826397,837115,848071,859068,870161,881389,892732,904147,915780
1,1,1,1,1,1,1,1,1,2,2,3,4,4,10,12,13,17,20,24,24,26,29,30,32,38,41,46,58,67,73,78,86,96,104,114,120,124,129,147,158,166,176,191,200,216,237,253,266,289,302,326,337,356,375,390,405,420,437,447,466,478,495,513,529,542,561,576,594,617,635,654,676,699,719,749,772,801,824,857,894,939,978,1020,1071,1123,1172,1218,1267,1312,1367,1408,1473,1522,1577,1637,1698,1752,1812,1873,1932,1984,2033,2085,2138,2202,2257,2316,2370,2431,2500,2555,2625,2707,2781,2869,2954,3032,3117,3191,3287,3357,3440,3522,3613,3694,3759,3831,3905,3987,4070,4141,4214,4322,4408,4484,4545,4612,4686,4766,4838,4917,5016,5111,5203,5311,5404,5513,5612,5709,5811,5912,6034,6143,6261,6377,6481,6606,6712,6830,6936,7049,7178,7290,7396,7488,7588,7707,7806,7914,8025,8127,8242,8349,8448,8542,8657,8765,8887,9013,9122,9260,9407,9549,9691,9824,9962,10129,10286,10443,10618,10821,11004,11231,11472,11676,11883,12109,12346,12603,12843,13099,13376,13642,13945,14184,14463,14735,15017,15301,15608,15905,16212,16499,16823,17128,17482,17808,18130,18439,18757,19089,19451,19781,20089,20437,20779,21115,21513,21916,22301,22697,23066,23447,23846,24212,24620,24994,25399,25845,26277,26721,27133,27534,27946,28373,28810,29258,29737,30217,30699,31141,31625,32066,32595,33143,33648,34181,34699,35293,35871,36404,37002,37604,38202,38797,39403,40092,40780,41465,42096,42721,43415,44084,44819,45577,46339,47105,47846,48597,49312,50094,50885,51662,52461,53318,54142,55004,55852,56704,57532,58424,59300,60233,61165,62045,62981,63911,64855,65808,66773,67758,68802,69701,70685,71635,72616,73610,74571,75581,76592,77684,78769,79890,80970,82067,83199,84328,85450,86555,87736,88961,90140,91353,92558,93778,94949,96174,97445,98772,100113,101454,102809,104129,105508,106863,108277,109756,111184,112662,114194,115715,117242,118835,120407,121980,123637,125292,126967,128620,130356,132037,133790,135526,137272,139026,140879,142688,144487,146379,148265,150159,152132,154132,156142,158149,160240,162311,164378,166504,168702,170958,173186,175477,177716,179990,182302,184604,186969,189396,191876,194353,196991,199495,202140,204764,207331,210118,212902,215727,218573,221440,224282,227192,230243,233266,236386,239460,242640,245732,248986,252312,255535,258907,262376,265907,269448,273030,276632,280330,283999,287774,291623,295372,299254,303185,307127,311156,315272,319443,323657,327953,332148,336529,340883,345380,349830,354261,358863,363414,368130,372770,377610,382484,387484,392475,397528,402651,407758,412963,418225,423521,428954,434419,439936,445415,451081,456777,462749,468729,474820,480948,487185,493540,499814,506065,512654,519206,525863,532600,539407,546178,553082,560068,567297,574520,581740,589101,596670,604132,611685,619369,627081,635010,643036,651154,659257,667471,675785,684422,693059,701691,710543,719580,728847,738094,747385,756887,766547,776181,786019,796129,806167,816474,826948,837385,848027
1,1,1,1,1,1,1,2,3,4,5,7,10,10,10,10,10,10,10,12,15,16,18,22,22,26,28,29,33,36,39,40,42,46,49,57,65,72,79,87,91,97,104,112,121,126,131,135,145,149,156,164,173,185,196,208,219,225,233,239,249,254,261,267,276,288,296,312,321,337,345,357,372,386,396,408,425,444,460,479,488,500,513,525,539,562,579,605,625,643,667,686,707,726,743,763,785,804,821,846,875,897,920,939,951,965,982,1001,1023,1034,1049,1071,1093,1116,1133,1149,1185,1207,1222,1235,1252,1271,1296,1313,1333,1348,1360,1375,1390,1415,1445,1478,1502,1527,1546,1560,1580,1602,1628,1655,1672,1702,1720,1751,1777,1798,1826,1857,1891,1922,1952,1977,2009,2047,2082,2110,2131,2161,2192,2213,2247,2279,2316,2343,2367,2395,2432,2465,2513,2547,2569,2596,2630,2671,2707,2744,2793,2828,2864,2907,2955,2999,3052,3092,3139,3177,3217,3272,3312,3355,3401,3460,3502,3556,3597,3643,3697,3746,3778,3814,3849,3888,3917,3954,3994,4036,4073,4111,4134,4169,4214,4243,4265,4295,4329,4368,4402,4433,4469,4500,4541,4593,4623,4670,4713,4757,4804,4854,4916,4980,5040,5093,5153,5222,5283,5349,5400,5454,5510,5577,5644,5705,5766,5837,5903,5981,6058,6128,6202,6267,6335,6404,6480,6553,6622,6710,6788,6849,6917,6988,7046,7121,7195,7269,7339,7413,7508,7577,7649,7729,7814,7893,7967,8037,8106,8171,8249,8307,8380,8456,8516,8587,8654,8717,8784,8861,8929,8999,9061,9139,9213,9275,9333,9412,9482,9559,9642,9718,9793,9873,9951,10035,10103,10178,10254,10360,10435,10519,10600,10681,10753,10840,10910,10998,11087,11168,11254,11338,11421,11509,11600,11687,11766,11859,11944,12031,12120,12201,12298,12388,12488,12589,12693,12804,12917,13021,13114,13236,13332,13432,13561,13657,13763,13877,13987,14105,14235,14351,14456,14559,14693,14823,14938,15055,15176,15289,15428,15580,15718,15827,15967,16090,16224,16363,16519,16658,16804,16958,17106,17247,17410,17573,17737,17898,18061,18249,18440,18641,18813,19018,19244,19481,19692,19907,20149,20371,20610,20850,21091,21330,21630,21875,22141,22434,22729,23039,23331,23607,23889,24172,24499,24813,25092,25415,25734,26009,26320,26640,26960,27285,27625,27949,28311,28660,29055,29403,29753,30116,30486,30903,31289,31695,32079,32493,32914,33320,33726,34162,34664,35074,35554,36013,36471,36965,37432,37937,38418,38893,39386,39876,40369,40869,41405,41916,42451,42971,43523,44106,44680,45257,45862,46492,47089,47687,48299,48907,49516,50143,50776,51412,52066,52727,53329,54021,54657,55285,55936,56608,57289,57914,58621,59320,60057,60737,61506,62236,63001,63746,64480,65237,65983,66786,67590,68381,69180,69964,70827,71607,72387,73252,74101,74912,75782,76680,77552,78385,79267
1,1,1,1,1,1,3,4,5,7,8,11,14,18,21,21,22,22,23,26,28,30,36,44,47,54,61,66,73,80,86,100,112,118,130,141,150,159,166,176,192,211,223,236,255,268,283,293,300,312,329,353,369,385,402,420,434,446,457,471,482,493,503,514,529,543,553,565,578,591,601,620,629,645,661,687,723,743,768,789,818,844,883,917,954,986,1009,1052,1082,1114,1144,1170,1206,1256,1302,1336,1374,1426,1473,1507,1555,1602,1646,1682,1712,1754,1794,1864,1903,1948,2001,2057,2109,2155,2192,2237,2270,2313,2365,2415,2457,2491,2531,2578,2619,2663,2709,2754,2788,2836,2870,2912,2956,2999,3039,3072,3113,3155,3189,3233,3275,3315,3364,3409,3458,3513,3564,3621,3678,3743,3810,3876,3956,4043,4112,4188,4255,4342,4427,4504,4584,4655,4720,4800,4878,4979,5080,5186,5287,5371,5462,5531,5619,5717,5807,5885,5967,6054,6145,6235,6318,6407,6491,6598,6701,6799,6904,6997,7093,7193,7306,7416,7524,7664,7794,7903,8028,8160,8319,8452,8593,8720,8878,9014,9160,9323,9478,9645,9819,10001,10180,10339,10524,10697,10899,11072,11219,11404,11587,11784,11986,12208,12394,12570,12789,12993,13218,13453,13683,13899,14163,14423,14645,14910,15152,15412,15661,15886,16119,16370,16624,16841,17112,17396,17650,17971,18233,18517,18794,19062,19344,19685,20010,20303,20627,20969,21320,21650,22000,22328,22685,23062,23390,23756,24116,24513,24860,25226,25622,26042,26448,26831,27207,27609,28057,28424,28906,29349,29769,30192,30658,31067,31495,31921,32382,32826,33264,33731,34200,34701,35176,35641,36095,36614,37090,37624,38127,38664,39244,39816,40360,40912,41462,42019,42596,43185,43770,44406,44979,45615,46219,46889,47517,48162,48870,49574,50267,51031,51806,52549,53334,54123,54944,55734,56576,57395,58204,59080,59926,60785,61665,62557,63509,64449,65355,66297,67251,68215,69129,70143,71084,72089,73132,74133,75131,76221,77331,78405,79492,80637,81793,82930,84091,85268,86484,87718,88948,90194,91538,92913,94244,95610,96970,98443,99909,101383,102859,104336,105846,107381,108966,110523,112107,113796,115456,117090,118821,120462,122234,124021,125801,127530,129434,131243,133161,135061,137117,139045,140997,143021,145055,147129,149236,151320,153462,155558,157776,160027,162254,164555,166871,169228,171639,174152,176720,179256,181857,184373,186912,189598,192291,194914,197746,200564,203328,206257,209205,212168,215210,218220,221314,224415,227576,230905,234138,237486,240785,244107,247376,250742,254175,257706,261166,264649,268106,271601,275223,278828,282486,286240,290118,293905,297752,301498,305434,309566,313635,317629,321728,325795,329942,334218,338454,342870,347349,351969,356525,361244,365936,370718,375739,380677,385905,391055,396263,401433,406722,412062,417674,423523,429153,434947,440814,446833,452987,459126,465379,471851,478332,484889,491461,498167,504899,511662,518694,525586,532621,539831,547149,554676,562216,569684,577407,585286,593036,601096,609211
1,1,1,1,1,2,2,2,3,3,6,13,18,23,27,29,35,41,50,55,64,75,82,91,102,110,120,140,147,161,171,184,194,208,229,243,257,275,292,308,319,341,361,375,388,409,434,446,463,479,493,511,529,550,575,590,609,629,648,666,684,708,737,760,778,808,840,874,910,941,977,1019,1079,1122,1167,1202,1246,1280,1329,1373,1438,1489,1546,1600,1654,1709,1765,1814,1862,1911,1968,2014,2076,2137,2196,2262,2330,2392,2450,2519,2600,2668,2742,2818,2887,2964,3046,3121,3212,3307,3406,3504,3604,3694,3785,3866,3971,4060,4157,4261,4353,4449,4547,4664,4778,4906,5015,5120,5222,5343,5501,5628,5775,5889,6026,6162,6312,6442,6595,6753,6892,7040,7187,7338,7499,7650,7815,7957,8110,8271,8426,8586,8763,8912,9079,9244,9413,9580,9724,9891,10032,10212,10385,10542,10708,10864,11030,11193,11389,11558,11751,11946,12140,12315,12503,12694,12873,13063,13292,13523,13741,13996,14251,14505,14743,14996,15299,15600,15862,16180,16488,16784,17139,17459,17794,18147,18524,18907,19279,19648,20019,20382,20782,21180,21598,22033,22453,22880,23311,23788,24271,24750,25206,25688,26222,26704,27185,27704,28208,28731,29321,29903,30485,31101,31638,32259,32931,33624,34281,34976,35674,36399,37113,37875,38610,39367,40136,40890,41687,42454,43266,44087,44925,45773,46633,47513,48423,49331,50174,51115,52089,53048,54023,55001,56000,57046,58095,59152,60218,61321,62490,63656,64868,66155,67415,68707,69975,71319,72736,74075,75522,76973,78493,79972,81555,83122,84755,86345,87873,89491,91027,92672,94334,96043,97751,99490,101242,102946,104716,106517,108337,110145,112003,113887,115739,117582,119523,121499,123488,125498,127551,129591,131650,133767,135974,138110,140344,142589,144833,147139,149581,152012,154361,156869,159381,162023,164597,167179,169855,172558,175355,178213,181125,184057,187105,190173,193105,196184,199418,202616,205900,209251,212684,216114,219567,223027,226662,230297,233946,237751,241533,245418,249504,253491,257481,261662,265921,270129,274471,278956,283448,287982,292588,297234,302085,306862,311677,316652,321683,326690,331997,337253,342601,348093,353635,359127,364796,370713,376500,382421,388357,394410,400703,406940,413466,420021,426519,433126,439782,446663,453599,460716,467818,474968,482222,489551,497068,504706,512344,520070,528081,536135,544416,552578,560969,569337,577919,586364,595085,603871,612966,622082,631378,640677,650051,659644,669177,678843,688612,698466,708474,718690,729096,739398,749821,760335,771160,781960,792930,804213,815461,826721,838245,849974,861849,873739,885782,898026,910530,923050,935958,948921,961748,974945,987956,1001385,1014933,1028632,1042492,1056482,1070416,1084716,1099132,1113731,1128335,1143405,1158392,1173592,1189041,1204658,1220467,1236413,1252567,1268937,1285725,1302243,1318851,1335780,1352951,1370300,1387910,1405707,1423773,1441925,1460271,1478816,1497331,1516344,1535559,1554641,1573901,1593418,1613257,1633245,1653322,1673344,1694039,1714876,1735766,1756688,1777875,1799238,1820846,1842551,1864741,1886915,1909632,1932459,1955463,1978755,2002293,2026126,2050011,2074370,2098854,2123670,2148613
1,1,1,1,1,1,3,4,4,7,7,9,9,9,11,13,15,15,16,17,17,19,19,20,20,20,20,21,23,24,25,26,28,34,36,38,48,52,56,62,66,70,78,86,91,96,103,109,116,127,131,140,146,155,164,175,184,193,198,206,211,218,223,228,234,237,240,245,253,256,261,267,273,274,278,280,282,284,289,293,295,298,301,306,308,308,310,315,317,319,320,322,324,325,326,329,331,337,338,339,346,351,354,358,362,369,378,385,392,395,404,417,425,438,452,466,482,495,506,516,525,528,536,540,550,554,566,576,592,600,610,621,632,644,651,663,670,680,686,697,707,720,727,737,742,748,759,769,774,784,788,801,812,822,828,832,842,846,853,863,879,885,893,901,913,923,932,943,953,964,974,984,1001,1016,1032,1043,1062,1082,1103,1127,1142,1168,1195,1230,1257,1288,1317,1360,1396,1431,1465,1492,1525,1571,1613,1655,1694,1745,1793,1836,1880,1927,1967,2000,2037,2073,2116,2154,2199,2242,2283,2325,2369,2410,2446,2485,2534,2578,2610,2667,2731,2781,2830,2877,2927,2979,3051,3112,3165,3225,3271,3329,3398,3471,3528,3595,3672,3731,3807,3891,3961,4021,4086,4139,4186,4264,4341,4422,4503,4589,4674,4754,4819,4889,4967,5042,5124,5219,5313,5410,5519,5593,5691,5814,5905,6001,6104,6223,6358,6478,6621,6743,6881,7006,7138,7273,7419,7576,7734,7900,8066,8227,8398,8566,8754,8914,9074,9246,9428,9635,9834,10030,10253,10486,10733,10940,11148,11358,11597,11809,12017,12268,12489,12720,12921,13158,13385,13618,13866,14122,14348,14581,14800,15041,15307,15569,15814,16100,16384,16644,16897,17208,17466,17735,18027,18323,18650,18957,19278,19576,19887,20227,20585,20895,21245,21571,21899,22260,22614,22969,23347,23693,24042,24412,24759,25151,25528,25905,26286,26678,27121,27509,27938,28367,28838,29286,29721,30155,30605,31079,31574,32083,32618,33165,33658,34176,34763,35329,35960,36552,37168,37765,38429,39092,39749,40418,41125,41814,42494,43176,43882,44590,45307,45975,46687,47380,48090,48851,49564,50327,51108,51858,52604,53399,54173,55015,55853,56717,57550,58452,59328,60207,61114,61959,62879,63732,64634,65577,66494,67418,68319,69286,70229,71206,72241,73259,74279,75206,76153,77168,78189,79189,80234,81334,82417,83548,84676,85758,86805,87924,89048,90153,91289,92501,93663,94893,96081,97268,98514,99812,101104,102356,103703,105115,106495,107940,109303,110732,112136,113599,115094,116570,118197,119808,121504,123150,124847,126590,128268,129972,131753,133539,135357,137267,139114,140947,142828,144734,146576,148386,150299,152138,154080,156047,158094,160113,162304,164331,166421,168514,170698,172877,175150,177428,179684,181918,184325,186735,189137,191578,194087,196597,199125,201678,204388,207002,209598
1,1,1,1,1,3,6,12,16,22,24,29,35,39,45,53,62,69,80,88,96,111,120,125,136,144,151,157,162,172,179,183,189,197,204,217,227,235,247,258,261,265,273,280,283,289,298,302,308,314,325,329,338,345,357,365,376,386,400,416,426,440,454,473,492,507,521,541,559,578,602,630,647,660,677,696,718,736,756,776,796,815,836,846,863,888,929,957,979,1010,1041,1070,1102,1134,1165,1197,1228,1267,1309,1336,1363,1401,1442,1472,1512,1554,1590,1620,1658,1698,1735,1773,1809,1851,1898,1929,1957,1994,2034,2068,2099,2147,2193,2231,2272,2322,2374,2418,2457,2507,2544,2587,2650,2711,2765,2816,2870,2932,2999,3060,3135,3224,3306,3408,3494,3575,3645,3723,3789,3882,3954,4054,4145,4236,4323,4413,4505,4586,4676,4763,4847,4926,5016,5103,5203,5292,5388,5485,5563,5651,5731,5828,5910,6011,6128,6220,6330,6411,6494,6579,6665,6750,6828,6909,6996,7067,7138,7218,7300,7390,7454,7531,7607,7689,7766,7838,7904,7980,8057,8128,8209,8283,8364,8443,8533,8605,8688,8768,8843,8919,8989,9076,9148,9227,9295,9378,9476,9570,9665,9748,9829,9922,10014,10109,10214,10302,10393,10497,10585,10684,10787,10891,10991,11100,11201,11305,11405,11493,11595,11698,11804,11905,12004,12108,12204,12310,12423,12500,12604,12706,12792,12869,12953,13036,13135,13226,13308,13408,13481,13554,13651,13707,13781,13846,13919,13987,14054,14138,14218,14301,14386,14472,14562,14649,14728,14822,14910,15007,15098,15197,15322,15431,15547,15672,15794,15937,16061,16212,16356,16501,16646,16792,16958,17133,17291,17459,17617,17773,17958,18135,18328,18527,18702,18874,19049,19228,19428,19597,19773,19957,20138,20306,20503,20701,20932,21128,21326,21521,21736,21960,22181,22381,22605,22803,23028,23253,23467,23709,23927,24172,24453,24705,24964,25249,25542,25839,26116,26404,26760,27074,27428,27763,28137,28478,28839,29192,29541,29897,30265,30625,31005,31433,31874,32294,32689,33108,33528,33978,34393,34841,35299,35789,36244,36758,37271,37758,38276,38764,39302,39830,40399,40966,41530,42117,42742,43320,43915,44542,45137,45770,46381,46969,47600,48230,48865,49466,50123,50835,51519,52183,52884,53580,54314,55067,55846,56659,57435,58178,58917,59670,60504,61296,62190,63076,64012,64882,65742,66635,67581,68576,69485,70440,71407,72506,73591,74626,75697,76818,77955,79153,80312,81487,82645,83952,85200,86465,87781,89117,90471,91818,93239,94635,95984,97414,98870,100246,101700,103257,104780,106320,107819,109407,110975,112608,114208,115826,117422,119108,120834,122542,124244,126056,127831,129717,131524,133415,135320,137287,139295,141257,143277,145320,147330,149424,151591,153845,156043,158304,160563,162807,165117,167526,169905,172362,174751,177299,179777,182292,184913,187545,190113,192855,195558,198245,200990,203818,206525,209459,212284,215184,218116,221171,224214,227303,230497,233750,237081
1,1,1,1,1,3,3,5,5,6,10,13,14,15,18,19,21,24,26,29,32,42,44,47,49,53,63,66,75,81,93,101,109,116,133,143,155,167,184,199,219,228,241,267,292,313,330,348,370,403,431,467,496,523,548,571,604,623,654,676,710,750,787,820,857,887,923,957,999,1033,1082,1119,1162,1199,1232,1277,1322,1352,1385,1426,1473,1521,1568,1615,1653,1701,1750,1808,1866,1930,1990,2046,2102,2155,2216,2290,2349,2420,2488,2549,2618,2680,2745,2835,2905,2971,3040,3108,3183,3265,3347,3435,3511,3591,3689,3780,3849,3935,4034,4122,4222,4346,4450,4567,4655,4742,4833,4916,5007,5119,5218,5314,5440,5538,5648,5762,5876,5986,6122,6262,6374,6487,6592,6697,6800,6902,7023,7138,7228,7309,7426,7523,7620,7722,7812,7905,8014,8111,8212,8318,8444,8539,8648,8770,8892,8999,9121,9209,9331,9456,9570,9701,9856,10024,10169,10302,10421,10545,10680,10833,11011,11190,11354,11529,11706,11879,12055,12252,12428,12625,12802,13021,13228,13428,13621,13821,14041,14232,14431,14630,14843,15063,15294,15507,15721,15944,16173,16396,16618,16878,17115,17389,17661,17905,18167,18417,18713,19016,19275,19537,19843,20145,20443,20692,20997,21286,21599,21940,22277,22554,22889,23183,23503,23809,24126,24473,24799,25127,25476,25834,26172,26509,26878,27287,27689,28066,28480,28893,29298,29770,30212,30624,31058,31505,31975,32444,32916,33394,33834,34351,34877,35387,35946,36493,37038,37587,38119,38688,39262,39819,40434,41067,41711,42355,42943,43565,44224,44822,45443,46149,46778,47420,48082,48824,49521,50189,50867,51551,52237,52903,53609,54305,54993,55680,56394,57073,57785,58519,59224,59879,60598,61374,62074,62849,63628,64407,65245,66035,66872,67699,68500,69358,70255,71141,72005,72902,73821,74675,75590,76535,77501,78498,79479,80515,81524,82587,83586,84647,85806,86902,88063,89199,90347,91515,92746,93972,95244,96451,97693,98910,100186,101413,102713,104002,105250,106577,107910,109284,110665,112092,113559,115072,116521,118038,119569,121119,122666,124282,125814,127445,129106,130716,132351,134071,135818,137504,139188,140974,142768,144512,146311,148167,149992,151867,153712,155594,157559,159563,161504,163556,165667,167710,169792,171862,173996,176136,178321,180596,182879,185224,187546,189947,192413,194795,197375,199916,202439,205104,207684,210355,212954,215738,218343,221150,223968,226829,229739,232622,235608,238683,241793,244808,248010,251218,254345,257593,260800,264172,267565,270944,274339,277827,281390,284937,288480,292078,295800,299660,303479,307386,311290,315306,319411,323495,327634,331931,336194,340632,345056,349794,354455,359256,364036,368846,373642,378522,383615,388740,393857,398907,404050,409404,414783,420219,425754,431375,437023,442766,448673,454480,460652,466611,472660,478860,485324,491667,498373,504983,511628,518385,525209,531955,539088,546323,553653,560836,568030,575510,582886,590509,598247,605924,613725,621968,630169,638497,647015,655608,664276,672799,681658,690766,699934,709103,718449,728037,737706
1,1,2,4,5,8,9,10,15,15,16,18,19,24,25,28,32,35,38,45,50,56,59,67,72,75,76,80,89,99,103,114,124,132,146,163,179,193,202,212,231,247,265,278,287,306,325,350,370,396,418,440,460,485,510,541,572,591,620,643,667,690,706,723,739,760,778,799,815,832,850,877,901,920,947,973,1002,1033,1059,1096,1141,1178,1214,1256,1285,1321,1366,1410,1453,1501,1549,1593,1650,1702,1767,1827,1882,1955,2029,2121,2190,2263,2339,2418,2506,2598,2677,2763,2861,2954,3044,3139,3235,3331,3440,3546,3653,3759,3870,3986,4085,4211,4334,4452,4568,4683,4824,4956,5085,5202,5358,5478,5608,5750,5868,5980,6103,6256,6382,6533,6655,6808,6960,7109,7238,7371,7504,7642,7777,7903,8029,8159,8321,8475,8653,8808,8968,9116,9260,9418,9557,9745,9900,10060,10213,10385,10548,10731,10910,11100,11307,11499,11667,11844,12009,12209,12378,12570,12748,12935,13170,13389,13640,13873,14091,14322,14517,14766,15009,15254,15497,15780,16056,16336,16618,16868,17146,17450,17754,18087,18366,18697,19041,19398,19759,20096,20416,20758,21126,21476,21797,22154,22534,22907,23278,23624,24021,24420,24800,25209,25623,26033,26454,26830,27258,27678,28106,28548,28997,29487,29923,30406,30892,31330,31830,32326,32820,33317,33797,34317,34816,35363,35855,36398,36921,37513,38072,38638,39196,39707,40243,40832,41386,42048,42644,43281,43936,44602,45249,45885,46511,47143,47787,48512,49203,49886,50543,51258,51960,52718,53438,54224,54952,55759,56517,57255,58019,58783,59633,60441,61265,62075,62860,63713,64575,65406,66247,67143,67996,68853,69757,70658,71574,72508,73448,74452,75379,76315,77325,78310,79350,80319,81298,82357,83400,84431,85527,86607,87741,88859,90019,91244,92380,93532,94697,95857,97130,98320,99543,100818,102105,103430,104724,106038,107398,108808,110169,111481,112902,114358,115827,117319,118774,120258,121836,123390,124951,126518,128142,129750,131412,133102,134774,136491,138229,139977,141795,143604,145442,147217,149169,151116,153084,155079,157074,159158,161213,163260,165363,167494,169706,171906,174092,176371,178699,180966,183390,185711,188140,190572,193023,195533,198112,200719,203401,206113,208835,211644,214484,217323,220287,223229,226253,229306,232515,235731,238934,242158,245583,248895,252380,255740,259161,262700,266336,270218,274026,277832,281757,285633,289596,293713,297928,302079,306332,310658,314954,319298,323805,328442,333034,337698,342448,347249,352101,356824,361898,366789,371883,377015,382292,387453,392839,398361,404002,409655,415279,420906,426759,432601,438558,444705,450853,457024,463413,469871,476390,482938,489576,496443,503303,510221,517212,524421,531670,539076,546397,553761,561385,569096,576974,584977,593020,601153,609402,617989,626382,635023,643623,652278,661150,670005,679281,688426,697632,707016,716506,726117,736195,746258,756271,766350,776685,787156,797758,808642,819317,830326,841516,852981,864735,876417,888287,900221,912438,924884,937380,950057,963077,975970,988964,1002295,1015834,1029282,1043079,1057020,1071324
1,1,1,1,1,1,1,2,2,6,6,7,8,9,11,13,20,30,33,36,39,40,45,51,54,61,68,74,80,90,98,109,119,125,131,140,148,155,162,167,176,183,193,203,218,223,232,241,246,252,258,271,288,305,316,326,334,347,353,364,377,395,406,423,434,452,474,481,499,514,527,550,561,580,598,613,626,648,661,673,695,721,737,759,776,797,820,850,873,895,919,946,966,1000,1026,1054,1090,1136,1168,1201,1239,1270,1296,1325,1353,1389,1419,1463,1498,1548,1588,1619,1660,1702,1745,1782,1815,1854,1900,1935,1980,2010,2054,2082,2111,2149,2184,2212,2249,2275,2304,2343,2377,2399,2431,2461,2493,2516,2542,2573,2596,2625,2657,2687,2713,2743,2779,2805,2834,2875,2905,2937,2970,2997,3040,3078,3109,3142,3189,3235,3296,3350,3411,3479,3542,3615,3687,3758,3829,3920,4011,4112,4219,4305,4390,4489,4582,4700,4796,4906,5001,5103,5196,5311,5433,5548,5682,5831,5961,6083,6221,6369,6506,6665,6827,6984,7144,7273,7426,7583,7742,7933,8074,8253,8424,8629,8788,8992,9194,9374,9554,9723,9893,10106,10291,10511,10718,10922,11096,11327,11521,11721,11940,12136,12321,12528,12751,12952,13180,13386,13591,13810,14023,14261,14446,14669,14896,15139,15363,15619,15860,16127,16360,16595,16861,17120,17384,17674,17982,18282,18573,18872,19168,19463,19774,20045,20365,20736,21116,21456,21742,22066,22383,22722,23055,23387,23722,24091,24430,24771,25139,25481,25842,26235,26656,27060,27452,27850,28215,28639,29054,29458,29917,30363,30844,31265,31718,32189,32666,33166,33666,34178,34669,35188,35700,36261,36757,37302,37862,38430,38980,39542,40093,40659,41211,41799,42396,42987,43568,44169,44746,45337,45956,46581,47158,47826,48520,49216,49867,50515,51205,51954,52666,53406,54152,54952,55742,56545,57393,58249,59088,59966,60793,61706,62645,63567,64545,65460,66444,67346,68337,69378,70427,71473,72542,73629,74731,75800,76928,78010,79135,80306,81500,82637,83893,85077,86356,87662,88924,90275,91625,92955,94333,95667,97125,98584,100059,101532,103070,104693,106404,108052,109758,111412,113181,114901,116632,118485,120308,122224,124159,126135,128143,130167,132178,134256,136317,138501,140705,142903,145116,147339,149709,152002,154439,156891,159244,161732,164258,166821,169358,172019,174673,177335,180098,182810,185531,188419,191251,194248,197165,200106,203273,206365,209546,212877,216214,219482,222729,226175,229603,233026,236488,240121,243860,247507,251162,254976,258829,262676,266623,270532,274612,278556,282758,286950,291245,295648,300032,304437,308978,313509,317959,322677,327456,332160,336902,341788,346717,351760,356671,361799,366874,372145,377470,382918,388342,393851,399457,405076,410655,416397,422038,427745,433549,439322,445403,451457,457391,463643,469812,476391,482904,489585,496437,503329,510316,517434,524616,531909,539172,546608,554245,561973,569740,577831,585903,593850,602167,610495,618794,627334,636010,644835,653759,662822,671965
1,1,1,3,4,5,7,7,9,13,17,19,24,30,41,48,54,58,65,75,88,97,105,118,129,140,146,153,163,169,181,192,194,202,209,216,223,231,240,246,255,258,265,274,281,286,290,297,312,319,330,343,356,367,371,385,401,422,433,446,460,477,496,517,546,568,585,601,628,652,670,688,709,722,741,754,772,788,804,818,835,845,863,886,902,921,934,953,971,996,1026,1048,1064,1093,1107,1135,1165,1191,1218,1257,1290,1325,1353,1378,1405,1435,1463,1495,1524,1551,1579,1613,1650,1687,1716,1755,1780,1806,1833,1861,1888,1918,1953,1990,2027,2058,2096,2129,2173,2226,2265,2318,2356,2402,2436,2481,2527,2587,2654,2713,2774,2820,2914,2990,3064,3173,3264,3347,3443,3547,3648,3766,3872,4005,4125,4250,4377,4522,4649,4784,4942,5117,5261,5400,5545,5671,5825,5965,6112,6256,6421,6574,6718,6903,7048,7189,7333,7493,7643,7789,7967,8126,8279,8459,8608,8795,8997,9180,9358,9533,9730,9936,10132,10345,10585,10812,11023,11234,11482,11718,11947,12203,12455,12748,13045,13327,13623,13914,14199,14502,14819,15097,15418,15758,16100,16452,16823,17184,17576,17930,18282,18640,19053,19445,19848,20217,20610,20999,21437,21856,22280,22708,23097,23545,23997,24446,24884,25314,25751,26207,26638,27078,27518,27968,28454,28833,29263,29767,30259,30734,31229,31757,32237,32788,33277,33837,34353,34913,35475,36042,36648,37236,37853,38430,39042,39654,40292,40940,41554,42185,42875,43551,44235,44927,45603,46283,47015,47725,48443,49101,49763,50501,51238,51974,52668,53404,54181,54946,55641,56356,57142,57875,58678,59481,60261,61022,61877,62725,63564,64423,65249,66131,66988,67885,68876,69760,70742,71677,72668,73671,74694,75701,76726,77814,78785,79842,80944,82093,83243,84386,85574,86801,88031,89244,90534,91790,93069,94367,95709,97065,98406,99765,101084,102554,104024,105490,107101,108579,110099,111602,113161,114833,116537,118234,119968,121663,123416,125213,127033,128886,130755,132750,134557,136451,138315,140300,142345,144379,146417,148467,150594,152717,154860,157124,159340,161728,164047,166342,168655,171059,173476,176037,178478,181062,183521,186097,188752,191496,194183,196943,199705,202593,205487,208367,211346,214354,217447,220533,223689,226876,230151,233502,236969,240413,243845,247340,250853,254288,258011,261601,265309,269041,272742,276517,280517,284468,288447,292551,296702,300932,305267,309740,314184,318697,323307,327935,332632,337441,342353,347188,352149,357096,362252,367479,372685,377976,383370,388954,394456,400269,406155,411979,417831,423802,429862,435889,442002,448221,454544,460885,467379,473838,480342,487087,493633,500370,507261,514325,521362,528543,535856,543165,550607,558179,565744,573582,581547,589593,597537,605844,614217,622665,631242,639745,648551,657610,666709,675866,685206,694813,704452,714262,724036,733963,743974,753901,764390,774932,785646,796367,807025,818286,829639,840984,852765,864346,875859,887730,899722,911894,924407,936741,949102,961846,974789,987914,1001042
1,1,1,1,1,1,2,4,6,8,10,12,12,13,13,17,21,23,25,29,33,36,43,46,53,56,60,68,74,79,84,86,89,97,113,120,134,145,150,160,170,183,194,206,213,221,236,238,252,259,275,290,299,310,321,330,340,352,365,378,389,405,430,447,470,502,529,546,576,592,614,650,683,726,763,801,835,862,908,950,997,1046,1086,1130,1177,1224,1271,1307,1351,1400,1453,1522,1579,1634,1698,1772,1848,1916,1992,2057,2133,2209,2297,2387,2470,2545,2631,2707,2786,2865,2951,3035,3139,3247,3341,3422,3528,3636,3734,3857,3945,4075,4199,4334,4467,4592,4714,4847,4980,5132,5280,5424,5566,5693,5837,5982,6133,6271,6431,6593,6720,6861,7003,7135,7263,7413,7551,7695,7832,7957,8115,8252,8399,8540,8709,8868,9018,9159,9312,9478,9631,9779,9955,10113,10307,10504,10699,10895,11083,11290,11486,11668,11875,12096,12304,12501,12714,12941,13202,13440,13693,13930,14164,14411,14692,14969,15223,15506,15783,16078,16350,16621,16872,17136,17404,17692,17981,18280,18603,18935,19272,19590,19953,20269,20611,20921,21266,21618,21976,22343,22691,23061,23444,23791,24192,24610,24999,25411,25841,26278,26702,27115,27611,28033,28498,28939,29360,29845,30357,30841,31314,31820,32288,32771,33280,33806,34333,34877,35416,35920,36462,36980,37527,38090,38657,39197,39785,40395,40927,41468,42136,42771,43437,44050,44684,45291,45904,46539,47146,47758,48407,49062,49715,50427,51138,51813,52510,53243,53960,54654,55393,56126,56850,57660,58471,59280,60072,60839,61646,62513,63369,64200,65097,66015,66855,67743,68593,69496,70443,71336,72273,73195,74130,75050,76037,77013,78004,78977,79964,80972,81973,82980,84105,85234,86336,87458,88528,89708,90874,92018,93124,94283,95461,96697,97948,99241,100469,101859,103165,104571,105935,107349,108814,110138,111554,112994,114431,115927,117349,118822,120401,121919,123470,125066,126696,128273,129907,131498,133198,134951,136710,138488,140272,142068,143863,145780,147692,149619,151582,153490,155519,157527,159568,161610,163739,165907,168040,170219,172502,174764,177107,179355,181742,184235,186643,189056,191683,194252,196852,199533,202321,205065,207996,210823,213735,216655,219633,222637,225657,228739,231803,234925,238251,241662,245043,248416,251887,255271,258818,262490,266235,269912,273648,277475,281299,285224,289173,293103,297107,301161,305257,309395,313446,317686,322035,326322,330646,334969,339252,343724,348174,352701,357230,361951,366651,371359,376096,380874,385603,390538,395578,400732,405944,411321,416686,421928,427491,433156,438863,444705,450527,456369,462446,468459,474526,480623,487034,493487,500104,506600,513267,519764,526472,533383,540436,547387,554583,561843,568945,576273,583666,590974,598555,606277,614108,621995,630107,638169,646353,654606,662995,671695,680272,689011,697907,706908,715921,725141,734585,743944,753441,763062,772839,782754,792812,802793,812979,823235,833703,844129,854622,865241,876077,886982,897917,908864,920086,931576,943182,954705,966406,978197,990010,1001982,1013864,1026098,1038369
1,1,1,1,1,4,6,6,6,7,11,13,15,24,27,36,42,45,51,55,63,71,78,90,99,117,126,136,145,153,168,181,197,206,221,235,248,256,264,282,290,302,318,333,344,357,367,380,398,411,416,425,444,452,465,480,496,504,520,536,555,567,582,594,600,615,634,646,662,679,694,720,736,750,763,789,808,839,868,889,908,930,951,977,1003,1018,1031,1051,1071,1091,1123,1152,1181,1213,1232,1259,1277,1308,1332,1373,1424,1476,1515,1551,1593,1645,1682,1726,1776,1824,1877,1927,1985,2044,2101,2175,2232,2279,2336,2389,2464,2522,2587,2655,2736,2806,2886,2981,3040,3111,3192,3271,3354,3426,3507,3580,3661,3725,3798,3881,3964,4038,4123,4213,4276,4360,4428,4507,4590,4673,4756,4839,4915,4996,5078,5176,5267,5358,5440,5520,5607,5727,5839,5962,6067,6167,6281,6409,6537,6658,6779,6907,7049,7184,7328,7475,7628,7775,7932,8114,8296,8485,8664,8844,9015,9212,9380,9578,9740,9909,10107,10311,10497,10675,10875,11087,11294,11487,11691,11891,12075,12276,12478,12665,12851,13076,13268,13465,13671,13912,14145,14352,14545,14747,14959,15182,15407,15653,15900,16140,16389,16657,16927,17182,17436,17688,17968,18229,18523,18835,19150,19445,19774,20087,20410,20713,21057,21402,21755,22071,22412,22741,23084,23408,23733,24072,24433,24808,25175,25518,25913,26288,26701,27113,27550,27988,28428,28864,29281,29709,30166,30607,31053,31496,31961,32461,32967,33453,33944,34415,34884,35412,35969,36512,37028,37493,38008,38602,39143,39718,40305,40896,41469,42056,42708,43292,43955,44543,45146,45817,46444,47041,47653,48308,48947,49652,50309,50966,51643,52287,52943,53601,54232,54872,55582,56262,56953,57656,58323,59015,59724,60430,61124,61886,62605,63279,63961,64723,65473,66209,67032,67772,68541,69316,70144,70905,71703,72515,73350,74195,75086,75988,76945,77896,78828,79765,80734,81764,82768,83824,84901,86012,87106,88235,89372,90537,91693,92865,94031,95197,96429,97744,98976,100290,101562,102880,104213,105576,106949,108363,109829,111274,112758,114222,115684,117197,118727,120187,121789,123318,124967,126587,128238,129942,131660,133416,135147,136969,138700,140464,142334,144169,146115,148004,149967,152000,154032,156080,158109,160263,162419,164493,166638,168824,171128,173303,175562,177966,180226,182537,184893,187320,189697,192136,194691,197150,199675,202207,204787,207400,210064,212763,215668,218513,221319,224215,227144,230131,233225,236345,239376,242524,245729,249070,252433,255933,259304,262973,266584,270264,274030,277853,281580,285507,289596,293588,297684,301866,306134,310416,314692,319034,323447,327946,332611,337277,341956,346623,351560,356429,361291,366339,371451,376515,381692,386965,392176,397577,403105,408494,414020,419688,425417,431087,436767,442662,448726,454899,460879,466921,473040,479215,485454,491722,498027,504521,511324,517961,524677,531433,538370,545206,552217,559369,566539,573976,581472,588945,596593,604338,612084,619974,627946,636133,644333,652530,660878
1,1,1,1,3,4,5,6,7,8,8,9,12,17,24,26,27,27,32,38,38,42,47,52,58,63,68,71,78,84,90,95,103,113,129,137,150,164,176,194,208,221,236,255,271,287,302,324,348,370,392,412,437,462,494,524,543,570,592,615,643,667,688,716,736,755,775,797,823,843,859,874,889,907,925,953,970,991,1000,1013,1031,1048,1069,1085,1107,1126,1152,1178,1199,1221,1236,1259,1285,1312,1330,1355,1381,1422,1454,1488,1536,1576,1613,1654,1702,1748,1794,1826,1891,1936,1995,2053,2099,2156,2207,2283,2347,2407,2480,2534,2611,2681,2767,2845,2908,2966,3035,3109,3183,3263,3349,3436,3524,3618,3688,3770,3854,3940,4018,4121,4200,4304,4415,4521,4627,4724,4832,4959,5064,5159,5258,5353,5449,5578,5698,5812,5932,6039,6149,6250,6365,6482,6618,6746,6879,6997,7125,7238,7384,7540,7695,7880,8040,8196,8351,8514,8689,8847,9023,9197,9383,9578,9767,9959,10167,10369,10572,10740,10945,11161,11400,11602,11854,12094,12328,12578,12793,13023,13261,13510,13731,13994,14227,14511,14706,14938,15182,15418,15656,15884,16131,16353,16593,16860,17105,17330,17568,17791,18039,18289,18543,18802,19054,19315,19546,19802,20025,20293,20542,20781,21040,21303,21554,21787,22058,22341,22594,22836,23136,23437,23712,23983,24214,24486,24754,25020,25314,25569,25879,26166,26469,26774,27111,27408,27704,28017,28384,28698,29050,29410,29742,30102,30493,30841,31194,31556,31940,32331,32741,33144,33559,33967,34393,34797,35198,35591,35968,36406,36820,37274,37713,38147,38631,39078,39546,40042,40511,40934,41412,41891,42359,42837,43323,43804,44335,44870,45359,45889,46402,46921,47427,47922,48462,48969,49453,50037,50593,51170,51771,52378,52930,53566,54157,54810,55451,56104,56785,57491,58171,58876,59589,60318,61059,61813,62587,63345,64147,64980,65847,66685,67545,68422,69270,70187,71093,71998,72915,73815,74729,75657,76615,77573,78570,79563,80591,81653,82675,83751,84771,85822,86892,87967,89078,90217,91346,92442,93611,94784,95973,97113,98354,99555,100789,102097,103387,104685,106029,107392,108764,110066,111539,112948,114390,115847,117301,118857,120302,121808,123345,124940,126569,128216,129909,131612,133331,135026,136805,138650,140582,142464,144387,146390,148362,150367,152345,154459,156552,158679,160845,162970,165248,167537,169894,172132,174564,176978,179351,181834,184222,186671,189170,191656,194205,196784,199294,202049,204652,207387,210150,212956,215773,218565,221482,224486,227574,230614,233643,236744,240008,243284,246650,249987,253448,256874,260504,263987,267545,271149,274960,278754,282568,286375,290405,294506,298670,302811,306959,311238,315644,320107,324658,329130,333801,338508,343271,348210,353140,358174,363185,368306,373346,378648,383996,389483,394908,400541,406233,412036,417843,423630,429545,435657,441798,447902,454170,460522,466971,473613,480377,487243,494189,501177,508286,515561,522970,530505,537923,545631,553501,561331,569350,577314,585510,593816,602313,610872,619671
1,1,1,5,9,10,14,17,21,24,28,36,40,46,54,64,78,85,94,103,109,119,125,137,153,163,174,184,196,205,206,217,233,241,247,262,274,285,309,327,343,355,373,395,412,439,461,491,512,544,564,596,617,647,681,710,750,792,835,863,910,944,982,1014,1052,1095,1132,1164,1197,1227,1274,1304,1360,1391,1425,1466,1492,1527,1575,1607,1645,1674,1713,1736,1779,1818,1858,1894,1933,1988,2038,2074,2117,2156,2209,2259,2303,2346,2390,2435,2477,2517,2565,2619,2671,2722,2775,2834,2878,2914,2962,3017,3066,3114,3159,3201,3253,3310,3355,3392,3428,3471,3508,3546,3596,3640,3690,3741,3792,3834,3890,3947,3990,4043,4097,4156,4228,4292,4347,4390,4438,4501,4591,4654,4733,4811,4888,4980,5072,5162,5263,5357,5442,5525,5615,5712,5804,5888,5982,6075,6171,6252,6361,6450,6557,6622,6732,6850,6950,7062,7192,7297,7417,7531,7655,7766,7872,7991,8123,8244,8365,8507,8660,8795,8938,9089,9232,9365,9494,9643,9789,9931,10082,10228,10360,10507,10681,10848,10996,11132,11294,11443,11626,11783,11931,12119,12279,12454,12607,12807,12981,13174,13363,13562,13770,13955,14140,14340,14544,14735,14929,15130,15322,15504,15742,15958,16219,16439,16646,16869,17098,17334,17529,17790,18017,18256,18504,18754,19019,19258,19487,19745,19980,20199,20461,20729,20981,21243,21528,21799,22098,22354,22631,22885,23151,23432,23713,24028,24323,24612,24920,25245,25544,25837,26145,26473,26786,27103,27403,27699,28011,28341,28661,29020,29391,29727,30077,30412,30753,31087,31454,31795,32157,32529,32903,33276,33644,34028,34414,34770,35181,35550,35946,36344,36745,37189,37622,38058,38520,38969,39436,39955,40466,40988,41548,42075,42575,43069,43550,44048,44602,45176,45758,46358,46976,47587,48209,48783,49388,50021,50690,51371,52001,52634,53274,53961,54652,55323,56019,56730,57448,58139,58877,59619,60349,61075,61753,62479,63180,63888,64676,65409,66156,66923,67700,68558,69399,70248,71098,71973,72817,73669,74540,75411,76350,77281,78249,79217,80186,81169,82117,83079,84144,85167,86225,87344,88430,89494,90604,91717,92816,93959,95137,96300,97486,98681,99809,101113,102348,103608,104889,106330,107655,109016,110353,111774,113187,114629,116176,117656,119282,120857,122503,124117,125811,127481,129175,130982,132783,134653,136513,138398,140263,142168,144102,146110,148165,150227,152266,154340,156435,158491,160641,162794,164975,167173,169468,171823,174093,176496,178871,181237,183760,186125,188604,191114,193503,196085,198676,201388,204028,206732,209549,212392,215302,218300,221236,224294,227404,230521,233618,236816,240023,243284,246470,249788,253127,256576,260049,263575,267148,270800,274501,278357,282165,285921,289776,293586,297544,301515,305436,309633,313666,317850,322222,326446,330703,335099,339426,344015,348542,353160,357864,362569,367264,372097,377030,381955,387023,391930,397154,402424,407684,412969,418369,423818,429234,434811,440637,446452,452222,458221,464346,470362,476438,482557,488782
1,1,1,1,1,1,2,3,6,6,7,9,10,11,13,15,18,20,25,27,30,32,38,41,49,51,55,59,63,68,72,77,86,91,103,111,116,126,140,148,159,170,178,185,195,204,209,217,225,237,251,268,284,303,318,340,357,378,397,415,432,456,481,501,528,554,587,621,651,687,719,756,805,852,893,935,984,1024,1082,1148,1191,1264,1338,1400,1475,1555,1622,1682,1757,1849,1925,1993,2090,2171,2261,2341,2434,2514,2588,2685,2765,2853,2963,3069,3157,3275,3389,3482,3586,3693,3780,3879,3986,4108,4224,4343,4485,4610,4750,4878,5016,5157,5326,5501,5671,5832,5969,6128,6308,6493,6670,6840,7034,7200,7386,7573,7760,7933,8126,8298,8475,8692,8873,9071,9261,9463,9643,9832,10000,10210,10435,10655,10907,11160,11382,11631,11873,12116,12358,12632,12863,13138,13382,13652,13937,14223,14514,14797,15111,15433,15761,16079,16446,16750,17093,17462,17786,18157,18529,18902,19306,19696,20124,20568,20999,21420,21859,22288,22748,23232,23700,24176,24659,25133,25644,26153,26727,27263,27774,28305,28885,29435,30057,30633,31244,31831,32474,33065,33696,34286,34925,35607,36260,36963,37665,38433,39164,39930,40720,41497,42277,43136,43927,44787,45659,46518,47401,48304,49182,50119,51085,52046,53047,53962,54929,55930,57009,58030,59114,60257,61445,62627,63799,64941,66155,67433,68733,69991,71273,72619,74053,75376,76755,78114,79435,80858,82363,83828,85348,86868,88415,89990,91541,93201,94881,96579,98336,100003,101778,103601,105401,107221,109176,111109,113000,114976,116987,118971,120943,123060,125169,127328,129446,131636,133844,136059,138329,140597,142920,145268,147682,150051,152494,154957,157304,159848,162367,165002,167550,170212,172855,175567,178256,181023,183690,186468,189331,192188,194982,197951,200875,203820,206692,209753,212886,215927,219128,222310,225496,228778,232163,235626,238993,242629,246076,249593,253194,256950,260706,264431,268337,272432,276279,280347,284519,288785,293010,297290,301535,305939,310470,315096,319745,324539,329426,334360,339373,344510,349770,355212,360676,366020,371578,377182,383002,388759,394718,400685,406741,412871,419146,425601,431939,438501,445124,451810,458573,465351,472169,479124,486106,493140,500502,507847,515099,522628,529911,537441,545114,552893,560762,568808,576772,584961,593062,601381,609634,617968,626478,635195,643817,652497,661202,670190,679347,688671,697990,707412,717078,726686,736555,746451,756616,766722,777022,787333,797922,808582,819613,830725,842024,853476,864944,876474,888118,899901,911987,924019,936383,948726,961561,974518,987432,1000684,1013916,1027503,1041193,1054797,1068617,1082502,1096536,1110733,1125289,1139707,1154210,1169013,1183926,1198979,1214080,1229391,1244616,1260057,1275673,1291418,1307353,1323424,1339658,1356021,1372562,1389201,1406174,1423297,1440536,1458129,1475637,1493652,1511675,1529703,1547953,1566327,1584873,1603578,1622574,1641857,1660918,1680556,1700350,1720310,1740363,1760609,1780808,1801410,1822566,1843511,1864894,1886192,1907625,1929143,1950763,1972989,1994930,2017248,2039605,2062260,2084714,2107731,2131034,2154258,2177887,2201599,2225582,2249595,2273845,2297880,2322394,2347412,2372506
1,1,1,1,1,1,1,3,4,5,7,8,10,15,16,17,18,19,20,23,24,27,28,37,40,46,51,57,65,75,84,92,103,114,126,134,148,158,162,169,175,181,197,211,221,240,247,252,267,279,292,305,318,334,345,374,396,411,434,454,470,485,516,546,578,607,633,678,713,743,777,820,853,896,930,970,1015,1064,1121,1177,1225,1278,1345,1382,1441,1481,1543,1599,1671,1732,1795,1859,1939,1996,2046,2113,2172,2219,2296,2356,2426,2489,2561,2635,2717,2794,2861,2951,3031,3112,3200,3285,3392,3471,3544,3634,3732,3826,3926,4017,4114,4221,4319,4432,4536,4648,4780,4908,5014,5122,5257,5416,5554,5664,5782,5911,6034,6158,6279,6406,6507,6659,6783,6920,7042,7183,7323,7448,7567,7688,7816,7970,8129,8267,8417,8578,8729,8865,9036,9218,9381,9583,9756,9938,10140,10333,10526,10747,10942,11141,11361,11601,11864,12111,12343,12607,12859,13142,13388,13618,13867,14114,14382,14637,14910,15150,15432,15723,16007,16251,16537,16853,17171,17459,17805,18157,18497,18864,19205,19543,19881,20224,20588,20912,21293,21740,22129,22507,22894,23292,23681,24078,24471,24897,25313,25744,26173,26583,26997,27394,27843,28273,28747,29205,29660,30151,30614,31122,31590,32056,32548,33098,33643,34126,34630,35173,35699,36278,36812,37387,37982,38579,39211,39836,40458,41083,41686,42344,43004,43652,44368,45031,45701,46430,47094,47793,48514,49231,49965,50698,51423,52233,53048,53813,54578,55401,56219,57039,57850,58704,59581,60435,61331,62237,63158,64095,65028,65982,66939,67906,68952,69983,71045,72061,73109,74147,75262,76391,77501,78621,79789,80973,82144,83279,84526,85790,87091,88376,89721,91039,92398,93791,95125,96552,97908,99349,100851,102360,103859,105526,107136,108716,110272,111916,113609,115339,117142,118845,120722,122540,124380,126270,128216,130068,131946,133976,135929,137946,139888,141852,143797,145960,148083,150309,152409,154568,156691,158870,161135,163432,165706,168001,170400,172850,175413,177881,180350,182942,185678,188457,191239,194090,196792,199754,202631,205623,208640,211758,214895,218101,221427,224748,228107,231582,235081,238548,242030,245672,249356,253096,256796,260578,264483,268490,272504,276690,280775,284912,289210,293596,297915,302330,306926,311542,316083,320914,325681,330551,335459,340436,345449,350583,355751,361058,366367,371853,377406,382848,388486,394292,400073,405888,411826,417891,423848,429981,436330,442638,449010,455656,462237,468819,475446,482384,489480,496474,503507,510632,517957,525232,532492,540110,547589,555453,563212,571204,579125,587174,595336,603501,611799,620324,628960,637619,646405,655385,664329,673435,682794,692167,701570,711042,720593,730060,739857,749860,759713,769742,779877,790195,800666,811155,821879,832411,843311,854315,865385,876384,887671,898858,910429,922024,933900,945990,958010,970313,982590,995007,1007560,1020376,1033461,1046547,1059701,1073286,1086857,1100605,1114587,1128705,1142847,1157339,1171825,1186281,1201365,1216372,1231407,1246817,1262204,1277969,1293885,1309980,1326534,1342833,1359450,1376306,1393336,1410788,1427941
1,1,1,2,2,4,6,6,8,10,10,14,14,15,16,19,24,28,31,34,41,45,50,56,71,78,85,89,98,103,112,118,129,138,146,153,161,170,177,182,192,202,206,217,228,235,241,250,255,262,268,278,283,289,301,309,313,324,329,337,345,352,356,363,372,381,387,390,399,412,420,430,442,450,459,471,482,495,514,528,542,561,581,598,623,643,667,694,723,758,781,816,853,889,925,963,1003,1037,1076,1109,1151,1181,1213,1247,1283,1326,1369,1412,1458,1494,1532,1584,1628,1664,1711,1761,1798,1841,1889,1942,1986,2037,2087,2148,2198,2252,2283,2336,2398,2455,2524,2565,2625,2684,2750,2809,2865,2924,2994,3060,3139,3212,3282,3343,3427,3520,3599,3669,3745,3809,3896,3981,4054,4137,4210,4290,4382,4469,4562,4647,4725,4828,4894,4982,5078,5186,5293,5403,5499,5611,5720,5830,5934,6055,6179,6318,6453,6561,6684,6822,6961,7073,7200,7356,7514,7651,7795,7931,8071,8197,8341,8486,8626,8769,8918,9081,9215,9366,9507,9662,9790,9943,10077,10217,10360,10499,10659,10785,10913,11051,11211,11351,11532,11681,11832,11986,12153,12305,12484,12678,12867,13051,13256,13435,13606,13787,13998,14183,14387,14600,14817,15019,15247,15477,15687,15921,16163,16395,16626,16870,17087,17367,17590,17850,18103,18391,18672,18956,19220,19491,19768,20062,20366,20698,21024,21353,21680,22008,22339,22677,22979,23292,23622,23944,24284,24638,25006,25390,25760,26100,26478,26837,27212,27596,27973,28347,28752,29161,29632,30055,30481,30952,31399,31845,32309,32801,33271,33740,34215,34704,35195,35677,36166,36741,37268,37795,38380,38930,39485,40036,40627,41221,41862,42464,43053,43690,44338,45006,45691,46379,47114,47801,48516,49279,50035,50835,51620,52456,53311,54170,54967,55834,56785,57677,58620,59529,60517,61519,62470,63435,64427,65406,66504,67573,68638,69713,70786,71999,73124,74245,75421,76577,77779,78982,80248,81520,82868,84180,85492,86944,88327,89741,91213,92712,94134,95709,97322,98928,100530,102209,103829,105528,107220,109014,110735,112529,114283,116099,117937,119847,121698,123608,125539,127517,129416,131395,133409,135474,137559,139599,141754,143844,146024,148217,150485,152704,154915,157251,159560,161920,164364,166860,169354,171950,174479,177096,179810,182573,185339,188132,191118,193977,196962,200021,203022,206045,209151,212196,215375,218600,221963,225271,228711,232216,235688,239124,242747,246332,249937,253543,257276,261077,264924,268858,272880,276896,280979,285172,289366,293691,298089,302573,307097,311614,316343,321025,325773,330476,335476,340329,345218,350304,355371,360509,365788,370931,376130,381460,386848,392471,397858,403490,409167,414884,420621,426433,432403,438296,444187,450309,456564,462813,469043,475610,482246,488899,495670,502464,509427,516473,523744,530994,538441,546035,553477,561119,568703,576519,584379,592353,600729,608960,617352,625861,634461,643019,651634,660565,669603,678865,688203,697537,707065,716730,726415,736315,746273
1,1,1,1,1,1,2,4,7,7,9,13,13,15,16,16,19,20,22,26,30,32,33,35,39,40,49,59,63,70,75,80,93,98,103,111,119,132,142,152,162,170,178,186,201,212,226,239,248,259,273,285,297,307,318,335,345,356,365,372,385,407,425,443,469,480,511,531,552,572,593,623,644,677,705,734,749,771,795,824,846,871,899,925,961,986,1013,1038,1074,1091,1129,1161,1216,1255,1294,1334,1373,1410,1450,1499,1549,1600,1642,1689,1733,1797,1848,1898,1947,1999,2055,2100,2143,2199,2249,2309,2365,2430,2488,2542,2605,2660,2722,2777,2823,2889,2939,2993,3044,3096,3170,3241,3297,3355,3413,3476,3544,3602,3664,3747,3827,3888,3956,4033,4099,4198,4268,4355,4446,4509,4590,4699,4786,4894,4976,5069,5169,5248,5367,5470,5558,5654,5756,5872,5991,6111,6236,6341,6437,6553,6662,6759,6881,6985,7096,7205,7320,7444,7541,7659,7790,7915,8035,8148,8282,8419,8532,8648,8769,8885,9020,9161,9296,9428,9555,9703,9839,9978,10115,10241,10379,10539,10696,10848,10983,11136,11281,11450,11597,11795,11966,12142,12303,12491,12684,12859,13047,13237,13446,13622,13806,13997,14194,14424,14630,14819,15011,15225,15422,15622,15823,16044,16249,16460,16649,16894,17111,17364,17609,17860,18092,18326,18545,18821,19064,19317,19554,19797,20076,20294,20544,20800,21085,21345,21624,21883,22140,22376,22648,22941,23223,23513,23792,24069,24368,24674,24957,25273,25545,25859,26166,26460,26791,27098,27422,27768,28090,28420,28754,29114,29481,29836,30191,30548,30934,31344,31753,32127,32557,32959,33361,33784,34224,34693,35114,35630,36079,36544,37063,37550,38045,38568,39060,39607,40135,40665,41214,41813,42346,42891,43484,44053,44669,45282,45873,46507,47148,47798,48423,49091,49738,50459,51147,51857,52594,53337,54100,54836,55627,56477,57338,58188,59069,59925,60810,61681,62650,63600,64570,65573,66553,67573,68570,69567,70631,71677,72686,73712,74788,75899,77005,78143,79195,80293,81426,82631,83775,84892,86065,87297,88525,89661,90854,92049,93413,94669,95939,97248,98607,99917,101259,102630,104016,105380,106761,108241,109724,111216,112704,114194,115729,117266,118832,120480,122115,123722,125354,127033,128783,130558,132313,134061,135865,137691,139575,141400,143309,145251,147189,149238,151276,153375,155480,157564,159741,161907,164096,166378,168693,170962,173348,175669,178114,180596,183066,185570,188185,190742,193358,195983,198621,201318,203974,206858,209638,212523,215415,218428,221407,224467,227559,230811,234098,237391,240817,244230,247659,251193,254743,258345,262106,266012,269970,273823,277945,282010,286149,290178,294261,298551,302665,306960,311280,315773,320280,324832,329414,333995,338672,343438,348175,353053,357950,362874,367859,372962,378165,383432,388750,394006,399382,404831,410383,415951,421624,427340,433138,439138,444978,451086,457144,463324,469711,476168,482694,489327,495934,502750,509664,516539,523529,530609,537866,545162,552330,559922,567404
1,1,2,3,7,9,10,11,14,19,20,24,30,35,44,52,63,72,83,89,95,106,116,128,133,143,152,163,168,181,187,196,202,207,218,227,239,241,249,252,259,260,262,264,270,272,275,279,284,286,289,291,295,298,303,305,308,309,310,314,316,316,316,319,328,330,338,340,341,341,344,346,352,355,359,364,373,377,385,400,413,419,433,441,445,448,455,461,470,475,486,493,501,510,512,514,522,528,530,536,539,544,548,553,557,561,569,575,581,588,591,599,606,612,614,620,623,627,637,644,653,664,667,681,692,700,709,720,732,741,753,765,771,785,799,813,825,838,846,868,881,894,915,937,951,966,985,1001,1022,1042,1066,1089,1116,1144,1171,1201,1223,1240,1277,1311,1338,1372,1407,1442,1480,1508,1538,1579,1628,1659,1704,1745,1787,1832,1874,1920,1963,1994,2038,2087,2139,2183,2230,2282,2327,2372,2430,2484,2561,2619,2684,2738,2795,2869,2926,3003,3080,3158,3247,3318,3408,3510,3593,3671,3756,3844,3937,4033,4138,4242,4334,4426,4532,4651,4745,4851,4954,5054,5169,5260,5348,5455,5557,5667,5781,5910,6001,6102,6224,6339,6441,6558,6666,6802,6931,7066,7191,7317,7449,7588,7739,7904,8060,8222,8376,8539,8707,8890,9079,9277,9470,9661,9850,10017,10228,10440,10635,10843,11082,11301,11525,11758,11964,12167,12394,12652,12882,13124,13357,13602,13848,14079,14321,14542,14753,14989,15230,15470,15710,15957,16197,16423,16696,16936,17226,17486,17750,17993,18260,18531,18788,19068,19369,19666,19955,20251,20566,20860,21151,21435,21741,22057,22317,22608,22922,23214,23511,23823,24137,24435,24737,25066,25402,25710,26017,26335,26645,26966,27286,27612,27918,28237,28558,28864,29205,29544,29851,30213,30570,30910,31260,31622,32029,32426,32842,33220,33612,34015,34446,34868,35292,35737,36194,36647,37102,37564,38095,38578,39047,39559,40031,40530,41030,41555,42076,42647,43217,43798,44376,44980,45627,46229,46882,47536,48182,48853,49558,50250,50952,51681,52435,53188,53943,54712,55502,56291,57109,57911,58745,59600,60471,61348,62269,63273,64237,65212,66164,67132,68107,69093,70138,71210,72268,73289,74415,75459,76563,77570,78671,79773,80903,82065,83264,84418,85689,86895,88142,89448,90706,92042,93414,94809,96231,97562,98930,100389,101912,103416,105004,106601,108185,109747,111446,113060,114733,116385,118110,119842,121675,123450,125276,127150,128970,130901,132757,134669,136601,138500,140439,142346,144332,146294,148288,150374,152422,154527,156672,158821,161084,163400,165598,167795,170114,172372,174723,177090,179513,181994,184618,187075,189637,192202,194812,197541,200192,202915,205739,208552,211359,214234,217172,220108,223039,225980,228953,232053,235233,238470,241690,244938,248209,251578,254974,258381,261806,265184,268723,272250,275925,279591,283233,287086,290906,294803,298734,302653,306629
1,1,1,1,4,5,7,12,16,19,24,26,31,34,37,44,50,57,70,75,91,100,110,119,131,140,149,157,164,174,185,200,218,231,247,270,283,301,309,322,339,355,367,382,401,413,429,448,466,484,504,523,550,574,595,613,636,661,680,708,734,771,790,809,824,853,883,913,953,1002,1042,1076,1116,1134,1165,1193,1229,1262,1296,1329,1362,1398,1437,1467,1505,1534,1563,1596,1628,1659,1701,1736,1781,1817,1872,1926,1972,2023,2084,2129,2165,2207,2246,2287,2330,2382,2426,2476,2525,2568,2613,2657,2708,2751,2798,2841,2899,2950,2988,3035,3087,3148,3211,3270,3328,3395,3454,3530,3605,3696,3769,3837,3909,3992,4082,4173,4265,4366,4472,4562,4657,4721,4818,4925,5023,5115,5223,5318,5422,5533,5636,5754,5877,5980,6092,6195,6315,6453,6560,6703,6833,6965,7099,7257,7406,7557,7710,7857,8022,8216,8387,8554,8734,8922,9119,9306,9495,9688,9877,10089,10288,10507,10708,10954,11157,11380,11619,11879,12112,12368,12636,12879,13144,13431,13699,13960,14229,14528,14829,15167,15492,15787,16096,16416,16716,17050,17395,17721,18087,18462,18843,19244,19628,20012,20367,20781,21174,21598,21983,22439,22938,23420,23883,24357,24823,25328,25824,26378,26922,27481,28037,28610,29203,29839,30479,31118,31755,32374,32995,33662,34359,35090,35751,36458,37183,37980,38764,39549,40318,41110,41914,42746,43577,44401,45253,46096,46958,47907,48789,49657,50565,51505,52486,53385,54332,55338,56358,57383,58372,59418,60484,61450,62540,63621,64702,65837,66971,68138,69244,70453,71671,73011,74311,75638,76999,78280,79586,80876,82214,83596,85043,86430,87804,89338,90850,92371,93890,95450,97132,98688,100326,102054,103702,105490,107252,109088,110893,112721,114579,116516,118469,120475,122425,124416,126411,128393,130426,132447,134564,136619,138819,141092,143334,145542,147869,150220,152676,155102,157513,159910,162473,165030,167587,170159,172777,175377,178065,180845,183658,186439,189209,191980,194898,197789,200784,203787,206845,209798,212968,216202,219324,222478,225793,229195,232547,235976,239460,242851,246390,249989,253472,256957,260517,264202,267906,271514,275225,279077,282863,286642,290539,294555,298444,302523,306676,310809,314954,319117,323364,327679,332064,336502,340912,345497,350192,354904,359601,364277,369091,374194,379153,384323,389428,394651,399758,404997,410384,415886,421383,426934,432566,438227,444044,449967,456057,462211,468447,474861,481270,487934,494570,501292,508027,515038,522064,529150,536376,543590,551082,558824,566468,574046,581972,589852,597890,606096,614271,622730,631241,639897,648842,657633,666611,675744,684862,694135,703482,712999,722548,732209,742061,751984,762027,772319,782556,792870,803438,814094,824822,835581,846620,857678,868869,880072,891513,903087,914959,926852,938959,950943,963029,975381,988038,1000606,1013401,1026168,1039175,1052432,1065833,1079323,1092885,1106736,1120835,1135059,1149171,1163595,1178256,1193035,1208065,1223339,1238571,1254364,1270220,1286413,1302661,1319026,1335798,1352143,1369036,1386007,1403021,1420294,1437870,1455619,1473477,1491623,1509720
1,1,1,1,1,1,2,2,4,7,9,11,12,14,14,15,19,28,34,36,37,42,50,56,64,68,75,85,91,101,117,135,151,165,181,189,196,208,222,240,252,262,265,282,291,305,318,336,361,389,408,438,461,485,503,536,561,589,620,648,684,714,749,784,816,850,877,914,941,973,1012,1047,1077,1114,1144,1178,1213,1258,1295,1330,1370,1411,1455,1487,1524,1560,1599,1644,1691,1743,1787,1832,1882,1939,1988,2047,2103,2164,2220,2282,2339,2378,2424,2488,2540,2592,2636,2694,2736,2789,2842,2895,2950,2987,3030,3084,3115,3154,3201,3258,3309,3360,3403,3448,3486,3537,3578,3635,3692,3740,3792,3847,3891,3938,3990,4049,4102,4154,4203,4254,4317,4367,4430,4478,4526,4579,4639,4709,4779,4838,4918,5001,5073,5141,5226,5284,5350,5428,5499,5570,5638,5703,5776,5866,5944,6014,6103,6181,6249,6346,6430,6514,6587,6661,6743,6835,6929,7025,7100,7173,7268,7372,7473,7568,7672,7757,7859,7975,8065,8168,8265,8370,8485,8596,8731,8837,8948,9055,9167,9275,9378,9512,9621,9728,9863,9982,10085,10183,10303,10424,10529,10649,10771,10883,10996,11103,11223,11331,11447,11549,11673,11815,11929,12056,12172,12289,12423,12569,12678,12787,12887,13021,13156,13305,13424,13571,13716,13860,14017,14163,14325,14493,14640,14835,15014,15180,15364,15543,15720,15926,16122,16335,16532,16729,16917,17096,17272,17478,17716,17934,18141,18363,18558,18791,19009,19249,19510,19753,19980,20247,20477,20721,20965,21218,21504,21772,22075,22390,22693,22962,23270,23592,23876,24193,24470,24794,25111,25453,25810,26124,26429,26781,27129,27465,27835,28174,28558,28946,29354,29749,30180,30532,30951,31419,31864,32308,32780,33234,33700,34153,34631,35117,35600,36129,36686,37241,37797,38408,38956,39566,40142,40775,41399,42007,42649,43315,43945,44611,45242,45916,46633,47291,47996,48735,49460,50218,50975,51787,52573,53356,54137,54925,55776,56581,57400,58278,59172,60055,60964,61883,62791,63750,64689,65695,66689,67724,68752,69811,70851,71890,72982,74147,75247,76377,77535,78713,79936,81235,82499,83821,85144,86528,87849,89231,90544,91968,93378,94696,96113,97553,99046,100584,102176,103758,105342,106944,108606,110251,111836,113497,115142,116843,118581,120356,122124,123966,125732,127623,129481,131415,133323,135234,137212,139124,141130,143215,145279,147482,149641,151878,154157,156422,158607,160860,163156,165465,167990,170359,172834,175329,177913,180475,183059,185632,188244,190960,193676,196432,199188,202058,204919,207788,210728,213728,216684,219778,222852,226007,229244,232487,235745,239025,242390,245842,249439,252998,256529,260042,263750,267365,271085,274758,278582,282349,286160,290103,294039,298152,302273,306286,310403,314476,318753,323059,327366,331824,336286,340896,345504,350083,354708,359465,364134,368910,373726,378612,383461,388545,393536,398679,403873,409332,414606,420061,425501,431050,436643,442442,448209,454029,460181,466371,472427,478690,485052,491543,498001
1,1,1,1,1,1,3,7,10,11,13,14,15,23,32,38,48,56,64,68,75,80,88,101,112,130,141,151,162,175,184,200,213,229,240,254,268,287,300,317,328,345,361,380,396,409,422,441,452,468,486,501,511,526,547,560,574,589,603,616,636,649,675,695,713,736,759,778,794,816,841,869,900,936,984,1007,1044,1080,1120,1151,1197,1238,1280,1306,1346,1394,1445,1488,1527,1576,1615,1653,1690,1733,1774,1813,1861,1902,1948,1995,2045,2098,2144,2200,2254,2316,2363,2421,2487,2563,2628,2703,2784,2858,2946,3022,3114,3207,3294,3371,3465,3557,3635,3730,3829,3943,4039,4146,4236,4342,4464,4560,4661,4780,4886,5007,5087,5177,5267,5376,5495,5596,5715,5827,5967,6104,6263,6377,6528,6650,6778,6897,7026,7161,7322,7465,7612,7749,7891,8047,8190,8338,8492,8631,8781,8931,9099,9265,9408,9560,9699,9865,10001,10159,10295,10449,10604,10777,10925,11086,11275,11452,11631,11810,11985,12160,12359,12531,12716,12909,13096,13289,13487,13700,13876,14045,14235,14448,14652,14860,15074,15284,15486,15682,15910,16087,16296,16515,16751,16953,17193,17419,17660,17910,18138,18365,18625,18876,19121,19389,19670,19920,20209,20484,20771,21034,21325,21597,21885,22168,22499,22803,23123,23433,23749,24043,24351,24670,24961,25282,25624,25976,26329,26686,27008,27384,27739,28125,28489,28856,29255,29638,30027,30400,30788,31205,31616,32060,32466,32900,33323,33757,34193,34675,35128,35593,36010,36468,36937,37435,37941,38421,38941,39438,39931,40483,40997,41509,42040,42595,43118,43662,44213,44759,45343,45939,46564,47139,47721,48286,48852,49454,50032,50616,51243,51869,52443,52994,53589,54226,54841,55424,56088,56715,57302,57891,58541,59130,59776,60428,61121,61801,62495,63174,63877,64567,65239,65892,66568,67311,68025,68760,69476,70158,70919,71607,72325,73089,73823,74453,75165,75894,76674,77440,78177,78976,79779,80569,81364,82205,83055,83881,84746,85556,86417,87296,88162,89145,90094,91067,91937,92861,93788,94755,95735,96772,97711,98673,99649,100617,101667,102699,103796,104862,105897,106966,108020,109122,110225,111421,112594,113812,114872,116048,117289,118471,119679,120902,122123,123375,124606,125841,127040,128370,129722,131127,132440,133840,135229,136653,138129,139606,141104,142616,144164,145774,147297,148855,150530,152193,153867,155624,157279,159010,160732,162526,164395,166269,168140,170024,171861,173769,175652,177646,179625,181717,183671,185803,187975,190196,192333,194557,196825,199071,201511,203917,206444,208898,211460,214100,216624,219220,221859,224575,227325,230107,232876,235712,238622,241489,244373,247209,250296,253337,256339,259492,262667,265909,269199,272587,276012,279482,282951,286460,290102,293750,297554,301311,305082,308753,312714,316650,320527,324502,328677,332884,336961,341193,345368,349631,353862,358329,362779,367164,371710,376372,381095,385861,390750,395677,400665,405522,410526,415551,420643,425750,431140,436239,441543,446907,452341,457760,463304,468985,474688,480571,486568
1,1,3,3,4,4,4,4,8,11,14,14,14,14,19,22,27,36,41,46,53,63,73,79,91,110,121,126,133,145,160,164,172,187,197,205,213,230,240,251,260,272,291,307,332,350,368,385,396,412,429,446,471,499,521,547,573,606,635,675,717,762,790,838,874,903,941,988,1048,1110,1153,1214,1261,1320,1383,1452,1511,1565,1627,1701,1770,1831,1911,2005,2078,2148,2219,2292,2366,2430,2511,2575,2656,2724,2797,2865,2928,3004,3081,3141,3192,3272,3341,3418,3483,3561,3621,3678,3755,3824,3888,3970,4051,4120,4197,4268,4350,4433,4502,4555,4639,4714,4793,4861,4937,5015,5080,5158,5216,5282,5350,5423,5490,5561,5635,5708,5783,5851,5915,5988,6061,6119,6188,6263,6340,6415,6491,6557,6632,6707,6791,6859,6933,7012,7094,7177,7264,7332,7427,7503,7594,7674,7762,7837,7913,8007,8086,8152,8237,8325,8416,8522,8603,8700,8785,8869,8966,9032,9130,9214,9306,9411,9491,9594,9678,9764,9864,9961,10079,10178,10278,10375,10465,10569,10664,10763,10860,10964,11064,11156,11283,11389,11506,11611,11705,11813,11933,12038,12157,12272,12385,12498,12633,12761,12886,13011,13134,13263,13383,13529,13659,13821,13966,14119,14276,14439,14585,14755,14916,15092,15245,15416,15560,15703,15881,16077,16247,16426,16614,16820,16997,17183,17368,17583,17788,18030,18242,18441,18663,18899,19110,19332,19552,19790,20063,20338,20612,20889,21153,21430,21718,22013,22300,22620,22954,23247,23551,23875,24215,24530,24895,25237,25598,25972,26312,26650,27016,27360,27760,28168,28568,28978,29354,29788,30217,30604,31023,31474,31895,32346,32763,33223,33675,34127,34580,35106,35589,36076,36586,37123,37623,38153,38701,39260,39753,40271,40788,41328,41879,42433,42989,43516,44035,44614,45210,45768,46327,46954,47527,48106,48715,49300,49899,50525,51087,51704,52312,52916,53565,54192,54912,55593,56253,56923,57623,58372,59089,59818,60586,61352,62172,62915,63691,64511,65325,66194,67057,67912,68815,69698,70571,71525,72418,73361,74349,75317,76293,77286,78312,79396,80451,81516,82619,83738,84807,85924,87117,88343,89488,90734,91951,93217,94462,95787,97120,98388,99679,101036,102402,103728,105090,106405,107772,109145,110576,111983,113398,114929,116351,117839,119406,121018,122561,124068,125637,127178,128802,130416,131995,133627,135295,137000,138710,140509,142243,144070,145840,147680,149526,151289,153142,155134,157057,159007,161022,163083,165155,167211,169314,171510,173733,175911,178074,180339,182569,184958,187305,189715,192081,194533,197093,199624,202183,204756,207318,209984,212593,215384,218236,221037,223817,226662,229534,232519,235474,238479,241510,244638,247803,250925,254111,257373,260731,264101,267598,271114,274586,278045,281652,285341,289069,292723,296546,300434,304420,308267,312371,316476,320622,324969,329268,333641,338154,342495,347054,351818,356548,361336,366201,371127,376161,381225,386214,391228,396463,401633,407001,412442,417922,423553,429328,434994,440772,446704,452577,458662,464699
1,1,1,2,3,4,6,6,8,9,10,11,12,17,21,25,26,28,29,33,38,44,53,63,70,81,88,99,116,129,135,147,153,163,174,183,194,198,206,214,221,228,236,242,251,253,260,268,273,281,282,287,292,296,301,303,309,310,311,313,314,315,318,321,324,324,324,324,324,325,325,325,327,330,331,332,332,334,338,342,346,351,359,364,372,380,385,388,391,401,415,425,437,452,464,471,491,505,516,536,553,571,593,611,625,649,668,684,697,718,737,756,777,803,821,849,871,888,905,933,950,974,996,1018,1040,1071,1085,1110,1134,1154,1178,1193,1217,1239,1265,1291,1318,1350,1377,1401,1440,1482,1519,1558,1591,1612,1650,1689,1728,1768,1814,1863,1909,1959,2011,2079,2129,2186,2240,2298,2364,2434,2500,2565,2625,2692,2763,2840,2913,2996,3082,3171,3269,3351,3427,3502,3601,3704,3803,3896,3985,4081,4170,4246,4344,4424,4518,4622,4739,4818,4923,5016,5115,5218,5307,5402,5499,5595,5707,5813,5931,6043,6166,6296,6435,6576,6698,6846,7002,7153,7308,7481,7652,7818,7982,8150,8326,8488,8631,8814,8975,9137,9292,9454,9624,9801,9966,10143,10296,10471,10639,10820,10990,11194,11390,11575,11770,11952,12113,12329,12512,12685,12878,13093,13314,13510,13720,13900,14092,14312,14533,14746,14972,15203,15442,15694,15946,16228,16496,16784,17114,17403,17680,17985,18279,18583,18925,19251,19574,19906,20249,20552,20886,21252,21614,21937,22312,22696,23075,23447,23824,24201,24589,25007,25445,25881,26305,26797,27234,27687,28147,28619,29066,29559,30083,30575,31074,31600,32125,32649,33177,33720,34284,34897,35488,36118,36707,37257,37855,38462,39131,39791,40409,41109,41820,42506,43205,43939,44644,45376,46131,46901,47687,48484,49283,50094,50872,51733,52596,53497,54395,55294,56181,57071,58008,58972,59887,60911,61866,62852,63850,64821,65815,66791,67747,68750,69763,70785,71803,72869,73951,74967,76071,77101,78200,79227,80338,81520,82642,83795,84955,86163,87379,88597,89851,91145,92437,93717,94985,96262,97531,98950,100256,101620,103068,104499,105920,107381,108907,110384,111887,113441,115055,116659,118271,119883,121468,123040,124792,126524,128194,130013,131788,133638,135502,137424,139280,141199,143055,145007,147003,148931,150983,153131,155339,157457,159497,161683,163947,166086,168369,170653,172970,175260,177695,180025,182393,184723,187109,189531,191987,194528,197062,199698,202428,205194,207993,210802,213721,216619,219573,222583,225598,228760,231846,235019,238287,241632,245011,248413,251872,255483,259059,262583,266350,269997,273779,277643,281507,285529,289504,293562,297673,301867,306226,310532,314831,319162,323608,328036,332611,337122,341833,346643,351476,356443,361269,366209,371123,376235,381455,386591,391834,397193,402664,407987,413546,419183,424879,430787,436775,442857,448993,455122,461265,467615,473909,480371,487067,493973,500907,507847,514883,522029,529243,536564,544058
1,1,1,3,6,10,10,14,16,19,21,21,22,26,29,31,38,43,49,54,63,69,81,91,97,102,113,130,139,150,161,173,185,202,226,248,269,290,312,338,356,384,412,432,462,483,512,530,546,571,597,618,643,672,701,736,772,807,847,875,915,951,996,1024,1060,1096,1139,1168,1217,1255,1286,1343,1389,1431,1470,1527,1588,1653,1718,1778,1845,1903,1961,2018,2086,2145,2195,2254,2322,2389,2456,2522,2591,2666,2726,2774,2837,2907,2985,3061,3115,3183,3260,3315,3370,3443,3495,3554,3621,3695,3758,3832,3926,3998,4092,4168,4252,4336,4405,4491,4584,4688,4804,4905,5023,5146,5248,5366,5487,5625,5753,5870,5996,6149,6299,6442,6598,6750,6894,7053,7210,7385,7526,7701,7869,8022,8187,8365,8539,8699,8846,9033,9212,9373,9564,9719,9901,10116,10319,10522,10732,10954,11193,11391,11622,11878,12105,12357,12608,12814,13068,13335,13604,13843,14070,14364,14591,14887,15206,15522,15876,16221,16565,16916,17258,17655,17993,18338,18697,19081,19491,19904,20305,20723,21156,21561,21995,22412,22913,23453,23959,24489,24954,25432,25903,26376,26950,27459,27997,28504,29072,29616,30176,30810,31421,32012,32644,33247,33939,34582,35215,35919,36627,37340,38065,38847,39565,40267,40982,41744,42475,43227,43995,44802,45559,46350,47156,47944,48779,49614,50424,51285,52178,53088,54008,55021,55977,56952,57897,58861,59909,61004,62069,63129,64215,65238,66296,67403,68485,69644,70790,71937,73088,74433,75625,76895,78134,79485,80747,82022,83329,84687,86053,87394,88755,90149,91571,93064,94506,95915,97317,98768,100240,101706,103212,104764,106299,107805,109300,110877,112441,114067,115634,117270,118848,120492,122195,123930,125629,127319,129118,130834,132682,134532,136251,138053,139930,141822,143734,145712,147689,149741,151714,153803,155934,157995,160094,162234,164357,166569,168853,171193,173536,175894,178244,180682,183131,185613,188151,190563,193118,195780,198418,201085,203779,206546,209355,212150,214966,217808,220690,223619,226575,229596,232572,235620,238865,242017,245141,248388,251498,254694,258064,261481,264896,268268,271854,275338,278900,282458,286021,289711,293388,297048,300800,304571,308436,312425,316462,320493,324702,328847,333130,337274,341668,345985,350444,354821,359511,364072,368733,373397,378079,382906,387719,392565,397684,402635,407761,412925,418078,423410,428662,434077,439591,445008,450662,456239,462067,467912,473830,479746,485706,491826,498217,504543,511002,517334,523860,530488,537315,544173,551087,557946,564797,571819,579024,586183,593694,601120,608566,616227,623935,631627,639531,647533,655436,663596,671990,680473,688830,697330,705860,714794,723575,732603,741691,750758,760098,769551,779067,788746,798366,808259,818192,828358,838628,848852,859096,869462,880176,890955,901573,912449,923524,934779,946165,957641,969346,981422,993417,1005531,1017630,1030160,1042745,1055631,1068517,1081507,1094761,1108248,1121667,1135181,1149043,1162954,1177177,1191576,1206134,1220993,1235944,1251178,1266633,1282076,1297834,1313553,1329432,1345563,1361758,1378116,1394973,1411909,1428738,1445912,1463263,1480837,1498603,1516352,1534456
1,1,1,1,1,4,6,8,8,8,13,13,13,13,13,15,20,22,25,28,33,44,49,69,77,92,99,114,119,129,136,148,154,161,176,194,212,226,248,268,283,307,336,365,385,418,445,488,510,539,567,596,635,679,711,744,782,829,866,910,962,1012,1060,1109,1151,1193,1239,1289,1340,1379,1421,1471,1536,1595,1646,1700,1749,1797,1845,1907,1968,2013,2051,2108,2166,2230,2297,2353,2422,2494,2561,2635,2718,2787,2874,2958,3029,3111,3198,3290,3368,3450,3558,3644,3744,3826,3917,4000,4091,4178,4270,4369,4473,4563,4653,4747,4830,4917,5014,5116,5209,5329,5425,5537,5642,5729,5861,5961,6071,6180,6282,6398,6524,6655,6766,6874,6995,7103,7229,7341,7456,7575,7685,7801,7952,8064,8191,8321,8427,8546,8655,8776,8902,9021,9141,9259,9386,9483,9614,9744,9875,9986,10095,10225,10371,10506,10654,10819,10985,11140,11297,11481,11658,11822,12003,12184,12366,12556,12750,12949,13139,13356,13571,13790,14021,14262,14472,14697,14922,15157,15416,15653,15928,16205,16466,16729,17023,17302,17600,17928,18252,18614,18914,19257,19607,19952,20325,20709,21096,21468,21890,22322,22753,23156,23611,24055,24506,24979,25405,25873,26359,26837,27323,27838,28354,28861,29377,29928,30513,31082,31627,32220,32835,33476,34144,34755,35377,36044,36741,37434,38118,38857,39546,40286,41102,41895,42689,43518,44343,45150,45985,46831,47741,48633,49562,50526,51474,52389,53385,54370,55325,56317,57315,58303,59240,60292,61284,62312,63392,64417,65475,66559,67655,68765,69862,71039,72159,73345,74581,75825,77043,78326,79667,81015,82395,83732,85139,86538,88041,89496,90911,92385,93905,95469,96981,98532,100176,101804,103417,105078,106667,108304,109960,111694,113425,115160,116870,118508,120283,122027,123756,125448,127126,128940,130697,132488,134233,136091,138093,140112,142032,144055,146072,148132,150218,152380,154463,156623,158814,161025,163404,165737,168075,170578,173008,175475,177988,180540,183136,185841,188507,191240,194029,196851,199743,202635,205524,208443,211354,214430,217543,220579,223759,226843,229999,233335,236596,239835,243289,246769,250249,253792,257391,260962,264690,268362,272180,275906,279821,283884,287882,291879,296035,300160,304395,308680,312895,317348,321764,326199,330760,335266,339876,344593,349414,354094,358909,363917,369037,374204,379190,384549,390007,395347,400856,406485,412077,417759,423482,429297,435273,441487,447659,453914,460026,466444,472930,479430,486001,492657,499450,506317,513391,520433,527658,535062,542447,550024,557782,565469,573494,581451,589512,597713,605991,614496,623076,631584,640156,648922,657736,666762,675890,685152,694504,703869,713420,722888,732405,742383,752173,762210,772219,782383,792728,803163,813580,824242,834895,845875,857029,868191,879327,890905,902602,914177,925934,937916,950210,962244,974523,986911,999471,1012318,1025264,1038417,1051565,1064916,1078529,1092189,1106019,1120054,1134258,1148446,1163027,1177755,1192622,1207268,1222450,1237623,1252909,1268375,1284235,1300197,1316469,1332744,1349256,1365845,1382674,1399685,1416987,1434697,1452228,1470025,1488161,1506300,1524664
1,1,2,4,5,9,11,11,12,14,14,14,14,20,21,29,35,43,46,54,62,65,74,83,90,96,113,122,131,139,147,154,161,169,177,184,193,199,205,209,218,222,223,230,238,249,258,263,268,273,278,294,303,312,317,328,345,356,373,397,414,440,468,496,516,532,568,591,614,649,681,723,763,795,843,882,914,938,977,1024,1074,1107,1140,1175,1218,1255,1298,1343,1387,1434,1466,1511,1551,1588,1630,1660,1703,1757,1812,1856,1902,1934,1972,2019,2067,2105,2159,2212,2280,2332,2392,2447,2502,2566,2636,2702,2758,2813,2881,2942,3018,3092,3171,3252,3334,3418,3479,3552,3633,3723,3834,3939,4046,4149,4248,4341,4447,4534,4642,4744,4839,4941,5041,5142,5235,5337,5439,5527,5616,5705,5791,5887,5961,6050,6141,6232,6341,6435,6536,6644,6746,6855,6955,7060,7170,7285,7404,7530,7650,7779,7908,8025,8138,8246,8371,8492,8617,8760,8919,9059,9205,9359,9499,9654,9801,9962,10120,10288,10446,10615,10802,10988,11156,11357,11540,11742,11925,12096,12279,12463,12657,12847,13067,13244,13442,13666,13856,14053,14242,14464,14690,14894,15109,15301,15513,15718,15909,16160,16372,16581,16782,16989,17219,17440,17675,17911,18147,18377,18623,18840,19084,19288,19536,19810,20038,20288,20562,20823,21068,21299,21594,21892,22163,22454,22748,23068,23359,23690,24000,24355,24683,25024,25373,25755,26123,26563,26989,27418,27859,28291,28766,29233,29724,30195,30715,31231,31745,32252,32836,33393,33934,34493,35095,35675,36272,36891,37458,38110,38793,39444,40120,40774,41402,42085,42735,43434,44082,44768,45451,46228,46942,47669,48423,49190,49955,50709,51512,52319,53112,53938,54792,55628,56492,57343,58232,59114,59978,60900,61822,62752,63727,64708,65626,66581,67574,68608,69597,70631,71684,72780,73914,75050,76237,77388,78567,79727,80943,82186,83492,84753,86116,87541,88932,90285,91674,93110,94508,96017,97515,99061,100520,102053,103636,105197,106847,108464,110106,111828,113495,115167,116870,118698,120540,122330,124164,126061,127994,129947,131962,133963,136068,138147,140355,142555,144775,147024,149353,151812,154211,156571,159053,161686,164302,166948,169579,172322,175039,177889,180761,183640,186588,189558,192570,195622,198691,201826,204979,208265,211633,214931,218334,221756,225236,228834,232419,236065,239823,243684,247544,251501,255487,259524,263697,267832,272003,276329,280780,285217,289688,294137,298714,303331,308008,312784,317525,322439,327392,332358,337498,342687,347979,353297,358519,363879,369423,375097,380734,386492,392298,398043,403941,410039,416039,422183,428318,434544,440952,447293,453783,460400,467044,473931,480749,487563,494589,501611,508687,515825,523052,530451,537944,545548,553209,560904,568928,576798,584891,593135,601456,609804,618445,626970,635492,644300,653362,662255,671597,681055,690596,700241,709972,719674,729451,739535,749722,760211,770692,781198,791787,802596,813448,824394,835592,846863,858087,869702,881338,893000,904874,917179,929467,941739,954352,967092,979853,992586,1005586
1,1,1,2,3,4,7,10,17,19,21,25,26,32,35,37,43,55,60,70,79,93,102,113,120,127,136,147,159,162,170,182,187,193,198,201,208,213,223,232,234,239,241,243,249,252,255,266,275,279,282,287,288,292,294,299,305,308,312,315,315,319,323,325,330,335,340,352,353,357,364,365,370,376,382,392,403,410,424,436,447,456,463,471,489,501,516,533,554,571,586,601,622,646,664,683,696,717,736,754,781,801,824,852,879,899,917,939,963,989,1015,1040,1065,1090,1115,1132,1150,1168,1195,1216,1232,1258,1283,1304,1320,1345,1355,1379,1401,1429,1465,1500,1534,1575,1604,1653,1691,1726,1767,1809,1856,1918,1965,2017,2056,2112,2175,2230,2289,2353,2401,2449,2504,2554,2608,2667,2731,2791,2856,2933,3002,3057,3113,3183,3244,3316,3380,3448,3502,3563,3644,3722,3787,3859,3935,4006,4067,4139,4209,4286,4360,4461,4536,4612,4680,4749,4817,4896,4971,5064,5143,5248,5340,5417,5496,5583,5664,5767,5861,5991,6113,6216,6351,6470,6586,6707,6833,6957,7089,7206,7355,7479,7621,7754,7907,8035,8166,8274,8390,8540,8666,8822,8984,9135,9292,9450,9576,9715,9891,10035,10157,10314,10461,10618,10797,10958,11147,11327,11520,11690,11846,12048,12257,12449,12646,12838,13027,13248,13454,13652,13882,14104,14356,14631,14883,15128,15372,15633,15879,16136,16377,16620,16842,17093,17361,17597,17870,18132,18379,18625,18921,19200,19477,19723,20012,20268,20540,20860,21142,21440,21749,22041,22346,22635,22944,23261,23575,23885,24194,24554,24875,25221,25552,25902,26273,26652,27000,27380,27739,28114,28470,28854,29263,29650,30047,30441,30880,31311,31705,32117,32535,32959,33425,33877,34322,34742,35193,35606,36053,36487,36945,37376,37811,38279,38743,39229,39707,40193,40679,41152,41621,42111,42595,43101,43631,44149,44686,45222,45774,46312,46835,47383,47949,48513,49041,49648,50254,50885,51472,52088,52699,53325,53979,54584,55295,55975,56625,57336,58094,58853,59517,60227,60930,61686,62429,63174,63995,64828,65595,66434,67201,68046,68847,69672,70561,71427,72304,73214,74107,75030,75894,76758,77679,78672,79626,80623,81605,82620,83610,84610,85645,86627,87732,88759,89807,90926,92007,93125,94229,95380,96488,97645,98794,99980,101193,102443,103700,104899,106270,107605,108832,110182,111555,112912,114380,115783,117164,118597,120064,121563,123067,124608,126128,127646,129262,130943,132592,134226,135999,137734,139529,141309,143144,145064,146950,148788,150772,152663,154611,156604,158614,160615,162604,164688,166816,168847,170996,173159,175372,177639,179821,182110,184380,186734,189077,191480,193938,196317,198794,201407,203893,206582,209301,212079,214846,217717,220514,223361,226228,229189,232065,235085,238078,241089,244292,247559,250708,253997,257274,260543,263967,267352,270878,274439,278010,281693,285366,289189,292951,296762,300694,304684,308569,312478,316502,320709,324922
1,1,1,4,5,5,7,8,9,10,11,11,11,12,12,13,15,18,22,26,31,32,40,42,47,53,59,71,78,83,90,99,107,113,117,130,141,153,166,186,198,217,230,241,257,272,292,310,324,342,363,379,394,411,433,448,465,492,518,542,565,591,622,646,681,709,737,771,795,836,869,907,954,988,1036,1078,1117,1163,1202,1242,1277,1322,1362,1420,1462,1501,1538,1586,1629,1669,1719,1762,1824,1863,1907,1974,2038,2096,2150,2198,2251,2313,2370,2428,2490,2556,2614,2684,2751,2832,2904,2981,3052,3114,3195,3308,3386,3484,3566,3632,3711,3789,3873,3952,4047,4139,4218,4302,4402,4497,4594,4682,4766,4853,4951,5051,5161,5257,5351,5445,5554,5666,5767,5888,5998,6113,6237,6362,6475,6596,6761,6871,7000,7132,7271,7417,7559,7722,7926,8088,8266,8441,8630,8804,9006,9203,9406,9593,9826,10014,10233,10432,10629,10873,11073,11287,11473,11714,11928,12163,12368,12591,12792,13027,13215,13446,13660,13885,14119,14386,14620,14872,15103,15347,15588,15849,16095,16341,16601,16869,17128,17365,17602,17875,18124,18381,18660,18932,19220,19500,19803,20118,20440,20737,21079,21398,21721,22057,22408,22784,23153,23528,23902,24305,24719,25148,25555,26041,26513,26964,27403,27898,28382,28870,29392,29922,30459,31004,31555,32107,32659,33222,33817,34435,35001,35617,36197,36810,37362,38045,38650,39271,39924,40575,41242,41976,42749,43483,44232,44971,45718,46567,47336,48195,49019,49915,50752,51621,52509,53446,54315,55235,56128,57043,58016,58936,59901,60869,61848,62820,63842,64871,65919,66949,67970,69035,70127,71248,72361,73503,74707,75862,77026,78207,79418,80622,81931,83162,84409,85733,87039,88373,89642,91017,92434,93779,95230,96664,98103,99510,101001,102527,104076,105612,107183,108751,110360,111903,113502,115127,116800,118551,120243,121901,123653,125376,127161,128872,130740,132640,134552,136448,138400,140408,142398,144372,146375,148415,150430,152527,154767,156971,159245,161561,163780,166139,168415,170836,173280,175790,178335,180829,183501,186115,188841,191569,194374,197117,200033,202887,205741,208792,211887,214968,218094,221247,224353,227540,230760,234152,237542,240891,244353,247837,251248,254816,258451,262148,265843,269610,273451,277333,281220,285228,289295,293366,297702,301942,306162,310678,315136,319647,324206,328849,333480,338257,343004,347800,352560,357474,362469,367534,372595,377740,382957,388142,393446,398973,404413,409906,415474,421019,426884,432725,438804,444732,450846,456980,463291,469651,476077,482669,489161,495773,502512,509444,516456,523530,530825,538033,545312,552709,560346,568045,575941,583912,591856,599967,608379,616835,625202,633820,642570,651439,660171,669199,678326,687552,696897,706280,715753,725407,735194,745198,755314,765372,775702,786077,796606,807350,817956,828617,839602,850816,862215,873767,885193,897040,908957,921077,933200,945481,957822,970529,983105,996091,1009104,1022299,1035602,1048950,1062656,1076285,1090224,1104231,1118474,1132980,1147338,1161938,1176814,1191938,1206831,1221863,1237102,1252687,1268209,1283872,1299928
1,1,1,1,1,1,1,3,3,5,9,12,15,17,20,20,23,31,36,42,49,57,64,71,80,90,100,112,131,146,165,178,195,217,239,261,284,305,324,343,359,381,401,426,451,478,505,526,556,573,599,630,657,691,714,742,780,808,849,892,944,974,1027,1075,1131,1168,1216,1276,1340,1398,1447,1514,1578,1640,1690,1763,1827,1896,1961,2036,2108,2187,2254,2328,2411,2488,2570,2650,2731,2814,2902,2975,3046,3129,3221,3319,3384,3453,3532,3626,3688,3763,3839,3921,4000,4069,4140,4235,4323,4399,4476,4564,4646,4721,4796,4876,4954,5049,5135,5223,5334,5421,5508,5604,5715,5802,5902,5999,6114,6216,6312,6430,6533,6652,6761,6865,6993,7100,7220,7334,7448,7583,7717,7832,7964,8086,8218,8342,8478,8602,8750,8893,9023,9172,9297,9434,9572,9711,9851,9974,10096,10248,10407,10548,10695,10827,10965,11125,11249,11403,11542,11695,11844,11979,12130,12272,12414,12547,12699,12845,12987,13116,13261,13386,13510,13651,13803,13956,14097,14261,14429,14583,14749,14901,15070,15250,15418,15613,15828,16035,16256,16457,16688,16923,17159,17381,17649,17885,18146,18436,18674,18945,19251,19530,19832,20129,20446,20772,21098,21431,21783,22115,22460,22810,23174,23523,23893,24297,24664,25096,25487,25905,26296,26730,27163,27587,28010,28409,28825,29254,29682,30109,30551,30996,31448,31922,32340,32807,33222,33662,34096,34501,34947,35351,35771,36219,36666,37125,37610,38103,38562,39067,39576,40081,40564,41091,41638,42185,42730,43284,43878,44455,45031,45644,46250,46872,47489,48101,48721,49314,49959,50633,51311,51977,52629,53346,54003,54633,55293,56005,56726,57441,58173,58940,59760,60519,61347,62161,63003,63878,64696,65556,66468,67326,68231,69174,70166,71151,72142,73116,74151,75219,76317,77408,78488,79609,80714,81896,83048,84285,85467,86689,87954,89225,90482,91775,93066,94411,95758,97130,98535,99942,101316,102684,104088,105526,106968,108424,109882,111401,112963,114471,116058,117562,119091,120707,122320,123999,125670,127348,129011,130797,132539,134323,136112,137896,139758,141600,143520,145454,147389,149241,151269,153230,155248,157243,159262,161268,163330,165482,167617,169829,172021,174215,176422,178707,181059,183416,185682,188074,190556,193015,195509,197950,200503,203126,205773,208489,211243,214048,216898,219858,222704,225593,228619,231600,234734,237871,240970,244153,247298,250408,253660,257064,260534,263913,267310,270731,274222,277784,281357,285005,288627,292340,296072,299818,303715,307527,311559,315605,319642,323726,327806,332019,336206,340557,344952,349410,353911,358526,363052,367627,372302,377000,381691,386716,391620,396700,401698,406964,412052,417239,422480,427766,433037,438537,444123,449745,455336,460912,466745,472658,478643,484661,490692,496854,502911,509154,515339,521604,528019,534605,541376,548053,554831,561553,568429,575343,582504,589820,597100,604379,611909,619672,627380,635235,643068,651096,659322,667620,676011,684688,693385,701961,710860,719628,728402,737468,746813,755964,765556,775171,785052,794912,804736,814508,824544
1,1,1,4,6,8,10,17,19,21,28,33,35,37,43,49,57,61,75,85,110,122,133,141,151,168,177,192,213,231,243,266,284,312,322,342,369,393,422,451,476,516,542,579,609,637,663,693,724,767,812,847,880,913,956,995,1034,1086,1125,1172,1220,1268,1305,1358,1407,1459,1512,1566,1619,1659,1704,1754,1808,1855,1904,1958,2014,2052,2094,2139,2186,2245,2304,2349,2396,2449,2502,2568,2628,2677,2744,2817,2897,2973,3051,3137,3211,3295,3392,3496,3596,3696,3815,3942,4064,4189,4309,4450,4582,4728,4848,4968,5143,5311,5452,5630,5827,6000,6196,6376,6568,6751,6945,7151,7318,7491,7659,7821,8004,8195,8424,8632,8890,9088,9288,9485,9690,9916,10141,10366,10591,10839,11078,11306,11555,11813,12089,12375,12655,12954,13247,13540,13840,14134,14440,14749,15072,15410,15725,16070,16384,16721,17076,17441,17798,18142,18530,18914,19292,19675,20036,20455,20863,21264,21680,22100,22538,22959,23384,23812,24227,24689,25111,25524,25951,26416,26866,27326,27813,28273,28780,29243,29710,30200,30660,31202,31730,32227,32765,33303,33821,34354,34866,35436,35990,36509,37034,37577,38153,38716,39287,39874,40473,41035,41656,42280,42840,43472,44100,44775,45448,46142,46820,47475,48183,48839,49581,50286,51023,51766,52515,53262,54003,54744,55559,56382,57249,58086,58910,59810,60663,61549,62386,63284,64240,65098,66011,66952,67866,68849,69801,70728,71667,72708,73711,74714,75736,76812,77823,78898,79920,80939,81992,83088,84194,85302,86355,87430,88540,89683,90774,92007,93148,94266,95486,96603,97795,99046,100175,101367,102617,103923,105152,106437,107748,109058,110315,111615,112943,114289,115627,116974,118377,119727,121097,122515,123896,125347,126759,128259,129713,131168,132617,134146,135777,137318,138923,140605,142296,143981,145631,147384,149212,150941,152787,154559,156455,158369,160268,162244,164204,166230,168228,170295,172432,174548,176720,178913,181122,183384,185661,188023,190309,192599,194946,197349,199749,202189,204597,207144,209756,212425,215116,217888,220677,223620,226574,229539,232438,235439,238506,241570,244808,248019,251297,254569,257916,261413,264989,268520,272119,275795,279619,283389,287256,291212,295217,299298,303395,307415,311546,315801,320115,324383,328853,333306,338016,342636,347192,351940,356801,361752,366671,371626,376801,381966,387213,392470,397797,403314,408723,414422,420009,425928,431766,437848,443779,449825,455996,462267,468661,475044,481543,488180,494779,501549,508399,515328,522294,529393,536763,544058,551465,558962,566574,574175,582151,590052,597991,606257,614566,623013,631407,640024,648724,657475,666459,675504,684904,694105,703700,713092,722826,732665,742630,752581,762618,772694,782915,793134,803550,814173,824916,835762,846975,857992,869304,880969,892489,904145,916044,928137,940329,952456,964883,977644,990474,1003381,1016595,1029997,1043405,1056998,1070781,1084677,1098754,1112901,1127278,1141622,1156396,1171300,1186449,1201498,1216925,1232459,1247924,1263795,1279660,1295627,1311720,1327988,1344580,1361241,1377993,1395011,1412350,1429823,1447651,1465253,1482935,1500921,1519056,1537484,1556313,1575197,1594103,1613367,1633009
1,1,1,1,1,2,3,5,6,8,9,12,14,14,14,14,17,20,22,26,33,41,46,50,52,59,64,70,79,86,93,101,105,113,119,130,141,147,159,168,180,187,193,201,213,217,226,232,236,243,252,256,260,266,273,280,285,290,296,298,302,304,306,307,307,312,314,316,318,320,321,324,325,330,334,337,341,348,351,359,366,371,374,378,384,387,397,409,423,437,450,462,474,485,501,515,533,548,562,583,607,638,661,680,702,722,747,769,796,825,862,891,914,942,965,988,1018,1040,1079,1114,1144,1176,1208,1234,1270,1297,1337,1375,1413,1438,1474,1509,1556,1606,1657,1711,1777,1841,1899,1961,2034,2097,2168,2231,2293,2374,2449,2513,2594,2666,2746,2826,2897,2985,3060,3130,3201,3280,3368,3454,3539,3630,3707,3801,3892,3974,4065,4143,4229,4311,4403,4497,4599,4698,4788,4883,4984,5100,5188,5297,5402,5532,5639,5770,5866,5986,6097,6207,6318,6474,6605,6763,6911,7030,7155,7272,7404,7547,7692,7802,7942,8095,8239,8400,8525,8682,8850,9008,9179,9332,9508,9658,9823,9982,10156,10319,10489,10667,10858,11055,11235,11407,11581,11759,11949,12153,12387,12588,12793,12988,13208,13414,13622,13823,14038,14278,14513,14739,14947,15232,15487,15683,15900,16153,16396,16630,16882,17112,17400,17646,17915,18172,18453,18726,19031,19347,19638,19938,20267,20555,20795,21110,21395,21720,21997,22308,22633,22954,23269,23567,23891,24196,24544,24881,25241,25561,25898,26245,26613,26998,27377,27773,28164,28607,29008,29423,29853,30323,30781,31239,31703,32167,32653,33166,33645,34156,34672,35177,35728,36236,36754,37301,37824,38366,38927,39490,40065,40624,41215,41801,42372,42973,43562,44168,44829,45487,46135,46797,47444,48166,48850,49546,50243,51014,51691,52441,53174,53953,54783,55564,56341,57164,57993,58827,59649,60520,61409,62277,63163,64063,64969,65934,66792,67721,68731,69733,70717,71761,72855,73961,75041,76167,77316,78415,79532,80717,81940,83133,84352,85663,86972,88282,89551,90965,92312,93703,95175,96653,98082,99582,101111,102645,104275,105879,107467,109051,110685,112350,113960,115640,117366,119125,120907,122755,124582,126524,128407,130382,132398,134444,136381,138521,140700,142751,144844,146990,149159,151327,153548,155855,158098,160480,162805,165259,167727,170218,172760,175324,177833,180471,183151,185748,188540,191287,194026,196833,199742,202675,205671,208702,211835,215021,218092,221290,224613,227897,231226,234596,238038,241369,244933,248425,252131,255788,259364,262995,266740,270467,274307,278162,282100,286019,290060,294064,298243,302543,306837,311167,315451,319854,324290,328782,333275,337849,342471,347283,352075,356961,361867,366818,371842,377008,382155,387258,392426,397704,403005,408475,413818,419399,424986,430670,436384,442203,448124,454115,460136,466202,472437,478853,485437,492036,498615,505349,512121,518987,525957,533204,540467,547615,555094,562573,570126,577788,585599,593497,601567
1,1,2,3,4,5,7,9,9,10,13,17,17,19,24,30,35,40,42,50,53,60,68,74,82,92,99,107,119,128,136,153,169,180,198,211,240,258,271,297,322,338,366,390,415,444,482,514,546,576,603,629,656,695,726,763,799,828,858,889,927,962,997,1034,1066,1107,1139,1177,1215,1264,1312,1352,1401,1437,1477,1527,1575,1617,1678,1726,1798,1853,1929,1980,2047,2100,2167,2250,2320,2392,2467,2546,2621,2707,2788,2870,2962,3046,3151,3236,3359,3467,3545,3616,3712,3812,3910,4053,4160,4274,4400,4535,4650,4790,4923,5071,5205,5365,5507,5645,5797,5946,6095,6277,6428,6582,6767,6943,7107,7298,7489,7649,7822,8028,8213,8407,8599,8779,8966,9150,9352,9574,9765,9979,10181,10386,10602,10785,11015,11216,11410,11634,11855,12112,12350,12632,12897,13173,13416,13682,13938,14196,14480,14754,15068,15360,15644,15974,16276,16539,16832,17133,17439,17704,18003,18315,18622,18907,19219,19508,19841,20212,20525,20841,21212,21567,21887,22252,22619,22984,23350,23728,24096,24495,24876,25288,25658,26065,26507,26964,27368,27826,28277,28748,29174,29654,30147,30641,31091,31573,32048,32566,33050,33530,34017,34506,35007,35495,35958,36483,36995,37524,38038,38585,39146,39636,40210,40781,41378,41942,42543,43146,43796,44388,44991,45659,46285,46949,47646,48341,49071,49759,50456,51187,51887,52627,53407,54229,54997,55821,56664,57519,58367,59246,60230,61134,62078,63001,63909,64862,65879,66873,67906,68902,69961,70962,72076,73185,74236,75295,76397,77535,78604,79652,80870,81998,83125,84297,85593,86862,88201,89457,90749,92025,93378,94771,96150,97570,99103,100586,102123,103628,105154,106691,108367,109982,111656,113378,114994,116702,118473,120370,122180,124059,125953,127979,129968,131929,133940,135916,138006,140093,142209,144372,146630,148939,151215,153557,155913,158296,160711,163125,165634,168255,170876,173604,176358,179119,181880,184762,187532,190465,193391,196391,199429,202472,205636,208726,211795,215089,218265,221589,224874,228292,231637,235086,238468,241919,245426,248958,252563,256133,259812,263497,267206,271077,274928,278931,282781,286802,290903,295077,299285,303460,307771,312128,316530,320985,325571,330141,334809,339566,344392,349146,353971,358973,363982,369083,374283,379465,384826,390304,395611,401076,406651,412263,418135,423998,430034,436139,442220,448528,454766,461187,467746,474175,480735,487403,494402,501383,508592,515737,523317,530865,538365,546075,553839,561659,569495,577303,585552,593800,602254,610722,619161,627884,636743,645779,654791,664015,673348,682710,692243,701758,711373,721180,730924,740855,750812,761062,771358,781798,792159,802630,813379,824183,835075,846095,857168,868520,879886,891363,903243,915126,927421,939699,952458,965089,977811,990901,1003989,1017333,1030942,1044731,1058472,1072551,1086718,1101160,1115463,1130295,1145244,1160314,1175466,1190719,1206270,1222164,1237928,1253866,1269909,1285960,1302422,1318899,1335695,1352599,1369887,1387345,1404933,1422242,1439832,1457569,1475621,1493977,1512081,1530464,1548968,1567718,1586800,1605852,1625246,1645106,1664831,1684779,1704812,1725341,1745736,1766493,1787700
1,1,1,1,1,2,3,3,4,7,8,9,12,18,22,30,33,40,46,51,56,62,73,85,90,97,104,113,127,137,143,154,166,175,184,194,204,208,216,222,227,230,242,250,257,267,277,287,295,306,315,327,340,349,357,374,390,408,424,443,473,489,506,527,549,577,601,630,656,681,715,743,781,808,829,852,889,925,957,993,1034,1073,1108,1149,1183,1230,1255,1293,1338,1377,1422,1462,1513,1576,1617,1668,1724,1767,1814,1865,1923,1979,2045,2091,2152,2219,2284,2342,2421,2485,2554,2613,2678,2742,2815,2875,2926,3006,3090,3161,3227,3306,3380,3441,3519,3599,3673,3744,3822,3901,3967,4061,4144,4239,4301,4374,4447,4558,4655,4731,4808,4880,4957,5042,5107,5199,5276,5369,5459,5534,5610,5685,5763,5828,5894,5964,6054,6133,6230,6323,6430,6527,6623,6728,6826,6912,7000,7096,7179,7280,7375,7476,7582,7700,7796,7919,8034,8150,8247,8361,8462,8587,8714,8843,8952,9079,9208,9358,9489,9623,9770,9922,10057,10177,10329,10489,10645,10799,10948,11099,11245,11403,11542,11705,11893,12069,12248,12413,12588,12762,12945,13127,13316,13493,13670,13877,14046,14241,14414,14565,14758,14938,15132,15318,15512,15708,15904,16099,16285,16507,16723,16920,17159,17398,17646,17874,18106,18352,18603,18856,19114,19344,19608,19886,20178,20440,20749,21023,21328,21606,21915,22194,22481,22787,23133,23453,23769,24100,24415,24689,25041,25389,25745,26131,26525,26914,27307,27733,28112,28492,28884,29327,29771,30159,30562,31033,31492,31904,32367,32811,33250,33716,34145,34678,35168,35682,36169,36615,37116,37648,38239,38769,39300,39838,40442,40989,41566,42168,42726,43288,43864,44484,45063,45661,46339,46967,47602,48244,48928,49613,50313,51003,51694,52399,53153,53894,54608,55338,56095,56886,57638,58445,59269,60104,60925,61757,62621,63485,64370,65254,66150,67025,67939,68837,69774,70700,71657,72598,73600,74572,75578,76572,77617,78704,79790,80850,81932,83032,84173,85394,86604,87811,88978,90280,91503,92846,94121,95398,96766,98173,99519,100938,102337,103792,105296,106841,108362,109948,111585,113218,114857,116534,118212,119909,121605,123379,125170,126973,128798,130650,132481,134403,136301,138221,140160,142089,144040,146043,148085,150131,152329,154407,156590,158763,160957,163158,165456,167732,170053,172465,174844,177239,179713,182219,184694,187324,189885,192511,195217,198008,200787,203541,206199,208990,211797,214738,217688,220703,223768,226923,230052,233271,236355,239528,242714,245952,249330,252671,255984,259250,262657,266109,269678,273217,276798,280538,284189,288043,291785,295695,299560,303591,307611,311655,315785,319895,323994,328271,332610,336943,341441,346079,350860,355484,360246,365019,369980,374960,380094,385305,390420,395713,401012,406246,411672,417254,422790,428445,434143,439934,445665,451615,457735,463774,469970,476252,482491,488755,495098,501662,508370,515050,521725,528593,535584,542473,549546,556803,563966,571361,578862,586433,594229,602026,609818,617812,625801
1,1,1,1,3,7,7,7,8,8,10,11,15,15,16,16,20,24,34,43,49,52,54,58,64,68,70,78,89,91,96,101,106,115,121,127,133,141,153,157,165,176,185,191,195,200,214,222,232,239,253,260,261,269,277,285,286,289,298,303,310,320,329,338,352,355,365,373,387,401,422,434,456,463,483,511,531,549,574,601,632,664,691,729,764,799,841,890,942,1002,1055,1102,1151,1214,1270,1318,1372,1426,1484,1533,1582,1627,1681,1731,1784,1846,1907,1959,2022,2077,2120,2157,2213,2267,2328,2372,2402,2450,2507,2555,2600,2655,2700,2757,2811,2856,2910,2976,3051,3121,3194,3260,3347,3434,3508,3591,3653,3711,3800,3902,3992,4090,4181,4277,4367,4457,4547,4645,4738,4814,4886,4977,5067,5148,5226,5310,5403,5482,5564,5653,5742,5822,5924,6032,6128,6239,6339,6437,6554,6669,6783,6897,7016,7134,7254,7384,7489,7620,7771,7903,8079,8237,8404,8547,8708,8838,9004,9173,9357,9541,9704,9868,10041,10237,10392,10578,10727,10902,11083,11281,11465,11655,11856,12019,12201,12355,12545,12729,12930,13121,13305,13495,13690,13893,14088,14294,14488,14708,14903,15125,15341,15568,15792,16030,16267,16490,16763,17010,17267,17549,17818,18076,18350,18653,18953,19240,19558,19875,20178,20479,20759,21077,21388,21690,22024,22370,22729,23117,23471,23859,24198,24503,24857,25188,25555,25918,26302,26694,27083,27510,27905,28337,28763,29216,29620,30070,30497,30937,31392,31885,32379,32825,33297,33801,34345,34831,35365,35875,36432,36967,37462,38016,38568,39157,39733,40320,40916,41492,42066,42669,43288,43946,44628,45304,45988,46729,47464,48199,48921,49638,50380,51150,51940,52694,53559,54394,55249,56118,57025,57888,58766,59657,60503,61377,62253,63221,64090,65024,66027,67017,68045,69040,70068,71034,72060,73076,74106,75127,76239,77322,78407,79490,80564,81750,82996,84152,85402,86633,87770,89030,90330,91665,92964,94398,95772,97146,98519,99985,101488,103063,104609,106235,107786,109428,111032,112702,114346,116119,117829,119607,121423,123239,125124,127018,128881,130774,132675,134574,136506,138507,140599,142722,144814,146971,149194,151425,153770,156097,158476,160846,163267,165750,168246,170751,173199,175749,178303,180881,183517,186235,189015,191784,194583,197445,200206,203188,206123,209072,212162,215282,218398,221496,224744,228003,231125,234432,237776,241125,244546,248022,251466,255088,258705,262290,266156,269995,273873,277706,281530,285523,289719,293821,297975,302208,306419,310697,314979,319499,323976,328551,333156,337850,342558,347234,352123,357194,362113,367199,372521,377823,383224,388682,394061,399707,405229,410879,416733,422526,428373,434325,440306,446532,452709,459151,465418,471840,478251,484944,491394,498088,504675,511439,518427,525438,532579,539593,546787,553996,561365,568956,576398,584032,591803,599558,607404,615327,623218,631419,639677,647890,656242,664734,673420,682407,691388,700331,709408,718650,728071,737576,747233,756930,766724,776706,786783,797084,807456
1,1,1,1,1,1,1,2,5,7,8,8,8,11,14,15,18,21,25,28,31,34,41,44,50,57,66,75,83,96,101,111,118,126,133,140,152,161,169,179,185,199,203,210,220,224,226,228,233,244,251,253,256,260,265,270,273,277,279,283,286,289,293,295,296,299,301,303,305,307,309,313,316,317,319,320,323,327,327,328,329,333,336,340,342,351,355,360,367,373,377,385,391,398,406,412,424,431,440,451,463,476,488,498,506,517,529,542,556,568,587,603,617,633,649,662,678,693,713,726,735,750,757,775,789,803,812,823,846,865,880,892,908,928,941,956,985,998,1017,1033,1060,1077,1097,1125,1150,1171,1193,1216,1235,1261,1282,1304,1321,1353,1376,1405,1431,1467,1501,1539,1577,1614,1650,1677,1706,1743,1782,1822,1860,1888,1913,1945,1984,2016,2059,2098,2137,2178,2225,2275,2328,2364,2399,2458,2502,2553,2605,2658,2712,2770,2841,2891,2958,3023,3096,3180,3248,3321,3395,3482,3576,3661,3767,3862,3950,4036,4118,4196,4286,4396,4506,4634,4735,4846,4946,5046,5166,5266,5389,5508,5611,5699,5809,5943,6076,6201,6349,6447,6574,6690,6822,6968,7078,7217,7332,7491,7637,7774,7929,8055,8214,8370,8517,8689,8820,8972,9120,9276,9449,9601,9751,9929,10110,10273,10421,10576,10742,10908,11073,11276,11448,11627,11812,12008,12188,12394,12566,12752,12978,13165,13362,13578,13791,13992,14183,14401,14638,14845,15038,15259,15497,15732,15940,16191,16395,16611,16852,17091,17322,17559,17795,18033,18272,18526,18796,19024,19278,19524,19785,20037,20293,20584,20862,21146,21462,21734,22039,22328,22584,22843,23131,23424,23694,23983,24289,24565,24834,25138,25428,25710,25990,26289,26584,26891,27202,27519,27833,28136,28484,28812,29138,29454,29794,30141,30513,30875,31223,31569,31935,32329,32705,33094,33473,33865,34282,34681,35060,35427,35839,36272,36710,37156,37574,38034,38474,38973,39424,39883,40374,40899,41388,41889,42372,42867,43370,43894,44423,44935,45496,46080,46656,47206,47757,48294,48886,49481,50024,50561,51123,51719,52282,52853,53473,54076,54679,55296,55935,56564,57196,57856,58509,59223,59865,60522,61243,61958,62648,63368,64114,64876,65639,66445,67221,68078,68884,69690,70571,71361,72151,72984,73866,74722,75625,76480,77382,78254,79173,80112,81095,82085,83068,84090,85112,86094,87192,88245,89301,90358,91413,92564,93642,94788,95897,97075,98235,99399,100594,101783,102994,104262,105508,106787,108081,109372,110708,112016,113416,114730,116155,117563,119047,120471,121960,123481,124987,126487,127988,129522,131101,132703,134356,135948,137637,139339,141022,142778,144499,146381,148220,150089,151910,153806,155780,157766,159765,161851,163965,166146,168277,170545,172750,175027,177400,179709,182042,184382,186708,189019,191492,193945,196418,198887,201409,204005,206618,209260,211913
1,1,2,2,2,4,4,4,7,9,11,14,19,21,23,28,39,46,49,56,66,74,80,94,101,107,116,124,130,139,145,151,163,183,194,210,216,228,236,245,259,274,285,291,303,311,320,327,341,350,361,369,388,397,417,433,446,465,478,498,517,530,552,569,589,611,622,647,661,685,710,727,753,773,792,804,821,838,862,889,913,928,954,977,1000,1022,1036,1050,1065,1094,1116,1137,1160,1178,1201,1237,1256,1284,1317,1340,1365,1396,1417,1448,1475,1503,1525,1560,1591,1630,1664,1702,1739,1768,1791,1826,1856,1894,1927,1971,2003,2042,2081,2130,2158,2191,2231,2263,2307,2352,2395,2444,2488,2533,2576,2628,2678,2719,2757,2812,2866,2931,3008,3064,3136,3189,3250,3318,3391,3451,3538,3603,3669,3751,3833,3915,4001,4110,4203,4295,4393,4506,4605,4696,4798,4924,5047,5169,5300,5399,5509,5621,5750,5888,6014,6143,6272,6395,6509,6638,6771,6891,7027,7145,7286,7414,7540,7656,7777,7902,8009,8131,8251,8384,8511,8624,8750,8894,9044,9176,9310,9466,9650,9795,9970,10125,10280,10463,10634,10807,10960,11145,11313,11471,11662,11847,12055,12248,12415,12629,12825,13034,13217,13426,13661,13853,14089,14327,14563,14788,15036,15290,15561,15830,16092,16376,16652,16947,17238,17523,17822,18150,18461,18801,19128,19472,19799,20154,20496,20856,21293,21683,22098,22504,22939,23364,23807,24250,24699,25126,25575,25981,26421,26865,27308,27792,28265,28766,29250,29721,30201,30699,31221,31722,32211,32733,33258,33785,34295,34893,35451,36000,36564,37145,37704,38374,39009,39632,40248,40938,41581,42232,42897,43563,44219,44885,45598,46291,47046,47721,48474,49227,49940,50666,51443,52215,53059,53832,54623,55500,56343,57180,57949,58834,59730,60666,61536,62514,63436,64449,65443,66464,67490,68539,69574,70663,71690,72716,73793,74851,75936,77055,78253,79396,80596,81751,82985,84251,85469,86596,87950,89286,90621,92016,93401,94782,96140,97498,98945,100471,102018,103504,105043,106629,108186,109757,111386,113054,114712,116380,118085,119855,121650,123462,125279,127124,128901,130767,132654,134659,136640,138602,140545,142433,144457,146486,148624,150675,152736,154896,157176,159389,161615,163943,166277,168690,171100,173507,175885,178364,180908,183456,186163,188769,191544,194429,197321,200177,203075,206078,209248,212384,215587,218929,222300,225736,229225,232607,236205,239722,243547,247188,250935,254756,258690,262605,266540,270626,274779,278818,282950,287131,291456,295642,300036,304400,308814,313099,317523,321929,326455,331183,335856,340591,345327,350149,355109,359948,364959,369987,375160,380267,385477,390816,396242,401771,407270,413060,418753,424432,430255,436322,442448,448534,454757,461111,467600,474006,480604,487330,494061,501043,508133,515270,522451,529811,537128,544519,551869,559387,566971,574551,582304,590243,598162,606148,614377,622776,631018,639590,648184,656754,665452,674280,683202,692223,701452,710812,720194,729572,739191,748782,758631,768775,778783,789162,799512
1,1,3,4,6,7,9,10,12,20,25,30,33,37,45,49,59,71,81,96,103,116,131,139,157,177,195,213,234,258,269,290,305,329,346,365,386,402,423,445,470,494,519,548,576,598,623,650,681,707,753,789,817,863,900,945,975,1013,1060,1098,1144,1189,1230,1276,1331,1375,1433,1485,1548,1614,1671,1731,1810,1889,1944,2008,2069,2130,2201,2276,2344,2404,2472,2531,2598,2670,2749,2821,2888,2967,3048,3123,3193,3279,3349,3433,3512,3584,3677,3749,3828,3918,4005,4088,4201,4279,4371,4451,4534,4608,4697,4784,4869,4957,5060,5145,5248,5342,5435,5531,5620,5720,5826,5927,6025,6121,6228,6318,6429,6518,6630,6747,6846,6961,7055,7167,7271,7381,7476,7585,7680,7794,7908,8013,8107,8185,8280,8405,8520,8642,8763,8886,9009,9131,9253,9376,9491,9627,9774,9890,10030,10184,10308,10448,10593,10742,10905,11064,11233,11398,11571,11755,11931,12119,12309,12498,12681,12861,13055,13248,13444,13639,13805,13988,14170,14329,14511,14701,14897,15112,15304,15507,15723,15931,16144,16378,16584,16829,17063,17284,17530,17774,17998,18248,18497,18765,19021,19284,19539,19792,20042,20312,20558,20795,21073,21355,21623,21936,22228,22491,22802,23088,23367,23649,23922,24257,24559,24857,25168,25475,25794,26115,26441,26767,27110,27431,27742,28042,28425,28766,29114,29475,29874,30228,30583,30944,31338,31732,32137,32535,32914,33343,33781,34191,34633,35097,35578,36021,36461,36933,37375,37784,38204,38658,39162,39643,40113,40637,41139,41664,42204,42743,43289,43856,44381,44947,45460,46014,46546,47148,47748,48297,48832,49405,50028,50648,51270,51858,52457,53062,53696,54315,54980,55572,56250,56882,57582,58242,58946,59560,60231,60986,61664,62398,63138,63818,64575,65309,66074,66808,67528,68311,69116,69915,70690,71435,72276,73171,74013,74843,75707,76649,77494,78394,79335,80276,81231,82228,83246,84249,85212,86210,87257,88308,89364,90408,91478,92547,93678,94890,96073,97272,98386,99560,100755,101954,103185,104458,105718,106989,108273,109567,110956,112363,113725,115089,116520,117902,119347,120767,122165,123662,125108,126565,128099,129597,131058,132695,134241,135804,137422,138957,140540,142101,143706,145312,146949,148592,150293,152011,153739,155452,157175,158935,160728,162557,164384,166329,168222,170135,172079,174077,176006,178024,180106,182267,184413,186672,188921,191252,193603,195960,198431,200941,203458,205989,208641,211157,213734,216539,219215,222041,224806,227565,230500,233423,236411,239365,242262,245295,248323,251363,254526,257712,260969,264099,267416,270827,274255,277719,281263,284725,288314,292036,295686,299349,303083,306979,310986,315110,319161,323187,327430,331760,336044,340371,344798,349369,354022,358652,363194,367982,372861,377808,382774,387897,392878,397962,403121,408401,413770,419040,424476,429884,435550,441252,447061,452790,458644,464562,470528,476548,482683,488948,495196,501582,508034,514429,521065,527774,534322,541134,548145,555064,562255,569357,576711,583962,591418,599120,606824,614484,622287,630143,638172,646435,654567
1,1,1,1,1,1,1,3,3,4,7,8,11,14,20,25,32,39,43,45,52,57,65,78,91,106,117,123,132,136,146,154,164,170,183,206,219,235,247,264,288,308,314,337,350,374,404,430,456,479,512,547,578,613,639,677,702,736,768,819,856,890,932,973,1010,1048,1094,1141,1187,1230,1257,1304,1354,1407,1471,1517,1582,1632,1683,1736,1787,1841,1899,1956,2005,2070,2125,2180,2251,2301,2354,2409,2476,2537,2587,2650,2717,2765,2829,2891,2961,3023,3085,3156,3227,3311,3368,3436,3514,3587,3676,3756,3816,3883,3967,4045,4118,4210,4282,4383,4470,4560,4663,4776,4889,4993,5098,5211,5328,5452,5564,5701,5810,5931,6049,6193,6310,6446,6597,6727,6851,6983,7122,7255,7408,7518,7657,7801,7957,8106,8245,8406,8563,8709,8874,9016,9185,9323,9478,9624,9771,9920,10078,10261,10422,10578,10759,10923,11090,11277,11457,11656,11809,12009,12187,12386,12575,12754,12942,13134,13338,13546,13795,14021,14254,14460,14671,14916,15145,15349,15603,15852,16115,16350,16625,16868,17152,17426,17680,17963,18266,18520,18802,19075,19371,19700,19983,20328,20618,20901,21189,21508,21800,22132,22486,22839,23177,23509,23864,24232,24615,24995,25415,25871,26285,26754,27225,27741,28204,28749,29279,29814,30347,30911,31441,31999,32593,33200,33792,34381,34989,35616,36196,36857,37500,38154,38800,39490,40156,40790,41529,42244,42956,43694,44385,45094,45799,46564,47332,48104,48880,49645,50395,51224,52016,52833,53665,54473,55353,56218,57168,58053,59034,59933,60919,61904,62906,63982,64998,66026,67134,68230,69339,70512,71732,72990,74214,75472,76767,78061,79419,80729,82059,83473,84891,86317,87792,89294,90778,92282,93748,95245,96818,98427,100054,101713,103368,105056,106824,108596,110411,112247,113985,115815,117703,119708,121636,123632,125701,127722,129785,131884,133936,135980,138127,140298,142536,144711,146951,149246,151622,153891,156271,158633,160929,163333,165825,168288,170734,173250,175717,178190,180835,183422,186000,188603,191229,193812,196583,199214,201999,204925,207771,210725,213690,216634,219560,222497,225515,228567,231645,234915,238278,241651,245010,248502,252086,255610,259128,262711,266369,270202,274043,277921,281719,285733,289739,293717,297793,301841,306154,310380,314591,318934,323269,327632,332192,336659,341176,345704,350427,355112,359917,364767,369590,374521,379357,384499,389642,394867,400165,405498,411001,416549,422196,427855,433782,439521,445363,451300,457396,463521,469558,475802,482134,488604,495227,501898,508695,515490,522512,529610,536671,543993,551467,558962,566812,574347,581966,589691,597748,605845,614041,622155,630566,639064,647706,656486,665227,674027,683046,692146,701574,711101,720876,730558,740269,750380,760542,770881,781069,791577,802348,813176,823959,834965,846041,857503,869024,880702,892527,904485,916433,928640,941016,953239,965881,978554,991350,1004321,1017452,1030492,1043811,1057222,1071066,1084862,1098897,1113047,1127220,1141613,1156154,1170789,1185303,1200028,1215142,1230375,1245881,1261635,1277242,1293038,1308973,1325199,1341311,1357891,1374476,1391211,1408005
1,1,1,7,8,9,10,12,13,15,15,16,16,17,18,19,20,25,28,32,35,44,47,51,55,67,78,87,92,98,109,113,122,130,144,155,171,180,187,196,207,222,230,242,247,269,290,300,319,329,344,360,376,393,414,431,454,472,492,508,529,552,580,609,638,667,698,723,740,770,804,831,861,893,914,940,985,1024,1063,1094,1133,1163,1188,1230,1267,1310,1350,1391,1430,1470,1514,1552,1602,1661,1713,1761,1805,1851,1894,1949,1999,2036,2075,2144,2200,2260,2325,2379,2442,2501,2560,2626,2685,2757,2826,2878,2956,3017,3073,3157,3229,3303,3376,3456,3520,3599,3679,3753,3827,3911,4006,4084,4172,4266,4365,4475,4583,4680,4791,4906,5031,5163,5287,5420,5575,5722,5876,6057,6226,6380,6540,6679,6852,7023,7188,7359,7510,7679,7844,8023,8158,8353,8514,8695,8870,9016,9183,9372,9542,9694,9862,10026,10205,10369,10554,10730,10908,11068,11248,11444,11622,11795,11995,12145,12354,12536,12738,12906,13108,13324,13531,13746,13953,14177,14421,14643,14874,15116,15348,15559,15756,15986,16255,16499,16741,17005,17265,17500,17757,18002,18260,18528,18762,19011,19265,19527,19775,20033,20288,20556,20816,21092,21398,21696,21999,22286,22572,22902,23251,23585,23917,24246,24646,25008,25328,25704,26107,26491,26913,27350,27767,28187,28626,29083,29505,29950,30427,30845,31302,31802,32307,32838,33358,33876,34420,34920,35441,35967,36506,37050,37612,38234,38818,39407,40019,40631,41262,41800,42429,43090,43738,44365,45015,45730,46438,47150,47817,48548,49244,49977,50724,51475,52225,52959,53752,54495,55260,56088,56923,57818,58691,59544,60434,61309,62280,63222,64181,65226,66216,67257,68206,69187,70284,71333,72421,73533,74742,75899,77098,78296,79496,80733,82038,83340,84642,85988,87295,88551,89871,91213,92572,93976,95416,96833,98272,99769,101284,102815,104421,106079,107805,109503,111221,112938,114751,116584,118434,120342,122220,124170,126206,128210,130228,132283,134414,136602,138879,141081,143342,145584,147913,150289,152713,155201,157678,160196,162846,165431,167976,170647,173300,176072,178781,181461,184297,187147,189956,192847,195789,198796,201799,204924,208089,211403,214663,218002,221392,224856,228322,231892,235480,239087,242767,246461,250122,253956,257819,261705,265662,269642,273630,277673,281706,285816,289920,294168,298414,302848,307218,311590,315997,320454,325045,329652,334319,339086,343836,348815,353750,358721,363800,368908,374179,379415,384625,390053,395428,400829,406228,411886,417569,423175,428869,434700,440537,446427,452407,458411,464551,470737,476913,483382,489948,496610,503294,510212,516975,523883,530931,538261,545483,552943,560577,568182,576125,583792,591686,599710,607873,616056,624356,632724,641162,649621,658360,667104,675903,684882,693875,703177,712606,722071,731581,741060,750879,760526,770433,780718,790861,801248,811575,822395,833197,844038,855147,866292,877591,889026,900628,912402,924268,936321,948320,960629,973169,985824,998490,1011368,1024287,1037234,1050503,1064018,1077338,1090932,1104820,1118541,1132660
1,1,1,3,3,6,6,7,7,8,12,15,19,21,25,28,31,38,45,52,55,58,67,71,80,87,100,111,121,135,143,154,162,175,197,205,217,224,234,245,265,279,296,323,339,367,386,403,430,455,478,500,522,545,571,601,628,656,688,721,747,783,815,847,877,911,936,967,1004,1040,1070,1109,1154,1183,1238,1293,1335,1378,1431,1472,1524,1581,1643,1689,1743,1798,1862,1918,1968,2022,2092,2157,2226,2303,2384,2459,2541,2628,2705,2790,2868,2975,3063,3189,3300,3395,3537,3666,3797,3924,4074,4199,4349,4505,4660,4811,4994,5153,5317,5492,5662,5832,6009,6214,6398,6610,6792,6972,7160,7352,7556,7765,7981,8218,8448,8658,8882,9108,9327,9533,9762,10006,10269,10500,10729,10966,11215,11474,11704,11988,12248,12527,12787,13051,13346,13598,13876,14147,14454,14721,14973,15237,15505,15781,16051,16338,16637,16918,17206,17506,17830,18128,18424,18736,19032,19356,19694,20015,20383,20766,21148,21494,21846,22241,22639,23037,23469,23853,24223,24628,25053,25497,25993,26464,26916,27333,27778,28265,28742,29195,29685,30131,30602,31087,31563,32056,32594,33097,33576,34068,34542,35083,35557,36086,36630,37174,37714,38221,38816,39399,39979,40535,41118,41734,42335,42969,43616,44305,44948,45644,46338,47023,47709,48376,49042,49752,50467,51167,51912,52661,53417,54230,55036,55856,56675,57433,58299,59166,60068,60904,61807,62698,63683,64696,65713,66751,67809,68865,69967,71086,72145,73292,74469,75666,76815,77964,79159,80418,81720,82962,84250,85566,86899,88254,89590,90979,92430,93897,95404,96886,98376,99971,101559,103152,104738,106350,107954,109591,111229,112913,114616,116353,118129,119965,121828,123680,125647,127617,129586,131607,133627,135659,137722,139848,141941,144125,146231,148479,150711,152940,155240,157592,159943,162383,164812,167240,169730,172277,174790,177436,180105,182782,185501,188339,191091,193971,196781,199668,202581,205479,208533,211711,214758,217805,221004,224184,227437,230684,234007,237375,240672,244122,247678,251252,254776,258510,262256,265862,269661,273468,277328,281251,285182,289171,293231,297385,301452,305605,309833,314150,318502,323013,327455,332153,336880,341623,346426,351361,356291,361233,366386,371490,376667,382165,387588,393047,398634,404126,409802,415524,421335,427351,433336,439333,445444,451715,458083,464467,470767,477305,484065,490946,497825,504731,511698,518703,525830,533245,540628,547956,555653,563189,570966,578880,586759,595091,603352,611733,620076,628738,637268,645981,654802,663734,672703,681780,690966,700317,709749,719440,729039,738508,748494,758515,768635,778993,789398,799917,810732,821457,832386,843424,854716,865778,877189,888873,900583,912425,924253,936291,948388,960669,973089,985594,998408,1011482,1024498,1037611,1050889,1064454,1078096,1091846,1105727,1119719,1133892,1148090,1162565,1176821,1191638,1206348,1221414,1236465,1251836,1267455,1283098,1298773,1314815,1330823,1347590,1364155,1381151,1398162,1415279,1432742,1450443,1468350,1486206,1504240,1522669,1541407,1560297,1579231,1598569,1618002,1637810,1657982,1678280,1698659,1719003,1739818,1760803,1781954,1803396,1825148,1847389,1869681,1892189
1,1,1,1,2,3,3,4,5,6,7,9,11,13,16,19,26,30,34,42,46,51,61,68,76,85,94,105,109,121,133,140,145,151,162,170,180,191,204,214,219,223,227,235,240,242,244,254,259,263,266,268,270,275,277,280,284,285,288,288,292,296,298,300,304,308,310,314,316,319,323,331,335,338,341,342,345,349,353,357,360,369,379,384,389,393,405,408,414,424,434,443,451,459,471,480,493,505,513,531,537,548,559,572,586,599,614,638,664,677,693,707,730,749,772,783,797,811,828,841,862,884,898,918,939,957,977,1006,1025,1043,1074,1093,1116,1138,1164,1181,1209,1235,1258,1270,1291,1320,1345,1364,1393,1405,1424,1447,1473,1491,1516,1548,1572,1602,1635,1662,1684,1720,1760,1801,1848,1891,1927,1973,2017,2068,2136,2201,2256,2335,2398,2453,2520,2575,2647,2733,2817,2904,2985,3067,3138,3234,3322,3420,3509,3598,3687,3762,3858,3966,4076,4172,4271,4371,4470,4595,4698,4831,4946,5064,5188,5306,5436,5561,5690,5844,5982,6130,6297,6446,6607,6785,6983,7160,7332,7526,7692,7880,8035,8219,8378,8573,8763,8954,9148,9345,9551,9768,9987,10177,10381,10611,10810,11021,11233,11450,11653,11897,12142,12396,12617,12857,13063,13314,13574,13845,14089,14349,14602,14878,15135,15428,15694,15988,16284,16569,16887,17211,17544,17879,18267,18588,18907,19261,19613,20012,20359,20728,21112,21497,21873,22284,22676,23093,23518,23910,24336,24786,25232,25709,26190,26679,27175,27640,28138,28585,29055,29544,30040,30569,31105,31650,32214,32773,33317,33836,34425,34959,35498,36062,36637,37228,37867,38460,39065,39701,40305,40913,41522,42213,42902,43638,44331,44992,45666,46341,47075,47844,48598,49346,50135,50939,51783,52648,53464,54277,55204,56070,57001,57989,58955,59892,60880,61980,63045,64077,65088,66123,67136,68202,69285,70361,71454,72601,73700,74831,75941,77165,78391,79539,80761,81893,83198,84498,85780,87126,88437,89842,91249,92607,93919,95372,96770,98231,99665,101267,102740,104288,105843,107443,109091,110761,112384,114058,115738,117467,119248,121030,122834,124521,126420,128304,130175,132068,134007,135985,138045,140186,142171,144256,146389,148578,150880,153166,155551,158083,160548,163088,165646,168300,170918,173589,176302,179061,181803,184668,187489,190460,193510,196626,199578,202669,205813,209095,212357,215706,219187,222560,225969,229554,233189,236825,240545,244164,247922,251760,255758,259630,263689,267806,271930,276099,280385,284771,289149,293552,298124,302674,307163,311797,316527,321295,326179,331255,336163,341264,346432,351658,356860,362177,367532,372802,378349,383896,389514,395328,401058,406853,412798,418874,424908,431101,437374,443623,449962,456384,462963,469535,476290,483064,489920,497051,504140,511416,518803,526279,533715,541304,549063,556774,564682,572749,580655,588804,597019,605434,613891,622509,631430,640289,649146,658341,667619,676957,686553,696235,706089
1,1,1,1,1,2,6,7,8,10,11,14,15,20,25,27,31,33,36,43,50,58,63,76,84,89,94,96,100,113,129,133,144,153,162,172,181,189,196,202,209,215,222,227,230,233,239,245,253,261,263,268,276,279,285,289,296,302,310,318,324,331,334,351,362,372,383,393,404,420,440,460,477,496,510,526,547,570,586,615,633,654,672,694,721,747,765,789,820,840,865,885,913,937,959,976,1004,1023,1046,1079,1113,1130,1151,1179,1198,1217,1246,1283,1307,1334,1361,1394,1421,1449,1477,1516,1549,1575,1611,1653,1679,1714,1766,1815,1868,1909,1958,2001,2049,2100,2149,2216,2262,2315,2355,2422,2478,2528,2586,2640,2714,2771,2832,2889,2933,2986,3037,3081,3133,3191,3245,3311,3361,3416,3498,3560,3620,3691,3740,3796,3852,3899,3969,4035,4098,4162,4232,4299,4366,4430,4490,4564,4644,4723,4806,4905,4998,5074,5158,5247,5348,5445,5554,5647,5752,5871,5967,6082,6212,6318,6446,6553,6673,6798,6924,7044,7200,7337,7471,7597,7729,7881,8013,8172,8346,8512,8643,8831,8990,9146,9299,9479,9689,9897,10102,10310,10531,10754,11000,11242,11478,11697,11926,12202,12470,12738,13046,13354,13642,13927,14226,14509,14807,15122,15407,15693,16043,16349,16708,17065,17443,17787,18121,18507,18858,19230,19626,20015,20421,20784,21179,21574,21953,22435,22872,23286,23735,24171,24655,25116,25591,26066,26584,27097,27604,28123,28607,29142,29669,30199,30765,31292,31844,32432,33013,33597,34183,34836,35432,36016,36653,37284,37909,38598,39247,39905,40567,41248,41908,42663,43396,44116,44913,45658,46428,47184,47955,48727,49537,50336,51122,51877,52728,53525,54389,55292,56182,57055,57969,58906,59808,60798,61692,62621,63567,64616,65603,66564,67552,68569,69584,70724,71804,72876,73947,75077,76231,77364,78617,79802,81046,82251,83589,84839,86218,87546,88894,90276,91680,93068,94594,96024,97480,98967,100436,101909,103450,104932,106518,108129,109759,111351,112936,114595,116188,117803,119363,120970,122653,124385,126084,127787,129585,131406,133246,135066,136931,138801,140651,142555,144465,146465,148479,150567,152673,154769,156862,159114,161375,163631,165997,168401,170788,173210,175734,178185,180754,183313,185907,188521,191257,194012,196859,199623,202399,205279,208064,210987,213905,216801,219899,222948,226066,229232,232322,235456,238575,241798,245032,248351,251747,255162,258679,262078,265591,269172,272746,276422,280069,283828,287698,291593,295445,299458,303320,307266,311395,315627,319983,324290,328555,333014,337444,342066,346696,351600,356602,361588,366698,371743,376869,382109,387487,392956,398316,403858,409587,415441,421270,427225,433191,439208,445483,451689,457909,464352,470696,477278,483884,490442,497049,503980,510842,517859,525102,532185,539301,546516,553855,561168,568701,576376,584100,591941,600008,608056,616140,624312,632617,641083,649547,658276,666900,675718,684787,693905,703272,712742,722187,731999,741779,751810,761878,772049,782292,792891,803821
1,1,1,1,1,3,3,3,4,4,4,4,5,6,7,7,7,7,8,9,10,11,12,15,18,25,31,33,36,39,42,43,48,50,61,70,74,82,88,97,105,109,122,129,133,138,149,161,166,180,187,196,202,210,214,223,240,248,254,261,267,274,283,293,302,306,314,325,336,356,360,366,375,392,406,420,440,461,475,496,519,541,575,597,624,652,684,716,750,776,813,856,891,918,972,1019,1071,1113,1157,1208,1247,1303,1338,1391,1445,1505,1546,1595,1647,1700,1750,1803,1840,1892,1938,1986,2040,2084,2149,2206,2265,2319,2370,2424,2481,2530,2582,2624,2679,2734,2800,2859,2919,2993,3060,3123,3203,3300,3390,3486,3585,3679,3765,3869,3998,4105,4197,4302,4401,4506,4617,4755,4882,5019,5135,5253,5385,5513,5670,5816,5977,6098,6235,6360,6505,6645,6802,6961,7109,7266,7413,7595,7748,7934,8085,8266,8423,8624,8799,8976,9193,9388,9570,9738,9950,10135,10335,10531,10765,10971,11220,11460,11695,11922,12124,12346,12611,12881,13137,13413,13691,14004,14274,14594,14923,15222,15504,15809,16116,16465,16788,17138,17452,17773,18111,18426,18793,19110,19454,19789,20112,20488,20841,21184,21512,21905,22262,22646,23007,23362,23707,24082,24455,24855,25221,25634,26043,26453,26862,27256,27663,28094,28513,28984,29460,29926,30446,30945,31449,31953,32484,32970,33478,34032,34608,35143,35739,36370,36979,37615,38200,38867,39566,40222,40910,41595,42253,42914,43575,44357,45098,45857,46630,47382,48114,48891,49651,50484,51270,52095,52862,53670,54492,55329,56147,56980,57832,58789,59660,60566,61483,62391,63356,64336,65377,66368,67378,68445,69562,70589,71620,72698,73862,74982,76044,77229,78436,79628,80800,81998,83220,84417,85573,86814,88103,89416,90802,92168,93494,94895,96358,97732,99089,100481,101875,103406,104970,106476,108009,109657,111214,112827,114393,116079,117790,119580,121376,123173,125039,126963,128905,130893,132864,134818,136876,139067,141215,143415,145533,147662,149814,152068,154330,156631,159046,161436,163843,166283,168728,171280,173879,176549,179251,181952,184681,187430,190224,193183,196063,199047,201975,205042,208136,211216,214303,217493,220792,224054,227411,230871,234307,237874,241508,245208,248967,252856,256690,260559,264553,268655,272725,276934,281109,285343,289722,294187,298667,303084,307755,312461,317145,322047,327026,332032,337133,342410,347729,353147,358504,363860,369235,374763,380413,386209,392122,398052,403924,410081,416285,422612,429090,435506,442160,448794,455599,462315,469167,476290,483386,490549,497696,504986,512430,519975,527658,535515,543335,551281,559381,567547,575764,583892,592354,600807,609487,618050,626953,635843,644770,653864,663093,672484,681784,691270,700805,710435,720147,729907,739937,750078,760472,770859,781376,792003,802784,813494,824312,835416,846635,857914,869318,880639,892209,903674,915448,927399,939633,951787,963875,976088,988358,1000945,1013897,1026610,1039602,1052657,1065837,1079518,1093120,1106823,1120745,1134838,1148934,1163287,1177454,1191980,1206797
1,1,1,2,2,4,7,10,13,15,16,20,23,26,34,38,47,53,66,73,82,85,100,107,118,129,137,145,156,163,179,189,197,208,215,227,237,255,269,279,305,325,343,365,383,406,427,456,486,520,547,576,611,642,679,714,748,777,814,846,884,934,978,1015,1052,1098,1131,1173,1220,1272,1331,1376,1416,1465,1525,1577,1632,1684,1724,1772,1820,1865,1911,1973,2027,2090,2143,2208,2275,2332,2388,2454,2531,2603,2686,2783,2868,2952,3041,3138,3233,3355,3462,3575,3699,3824,3940,4068,4185,4320,4498,4657,4800,4958,5103,5293,5466,5649,5805,5968,6156,6329,6513,6694,6899,7080,7278,7461,7657,7845,8030,8229,8410,8587,8781,8985,9176,9379,9579,9784,9978,10190,10424,10617,10855,11092,11314,11554,11805,12039,12277,12519,12749,12997,13237,13462,13700,13943,14212,14470,14749,15027,15300,15559,15820,16100,16409,16691,16990,17282,17599,17914,18229,18554,18895,19205,19524,19856,20199,20534,20919,21311,21706,22099,22484,22872,23271,23658,24024,24430,24896,25322,25733,26147,26581,26983,27413,27863,28292,28753,29162,29585,30010,30452,30897,31330,31752,32179,32623,33117,33595,34055,34532,34997,35457,35913,36382,36848,37323,37825,38315,38856,39399,39929,40459,40978,41517,42040,42537,43111,43718,44360,44976,45612,46265,46888,47541,48189,48824,49495,50167,50861,51564,52234,52937,53656,54361,55096,55831,56532,57265,58000,58791,59548,60269,61005,61764,62518,63319,64108,64890,65679,66476,67272,68088,68935,69714,70569,71423,72257,73105,74024,74952,75873,76794,77747,78677,79669,80599,81543,82534,83556,84627,85684,86764,87841,88986,90041,91203,92344,93505,94657,95903,97073,98261,99501,100732,101924,103235,104471,105682,106959,108245,109537,110880,112189,113528,114919,116240,117582,118978,120324,121668,123098,124514,126005,127495,128938,130271,131807,133384,134899,136473,138058,139692,141293,143000,144704,146382,148070,149770,151537,153267,155045,156879,158729,160639,162478,164408,166415,168390,170444,172433,174461,176466,178511,180573,182725,184914,187117,189376,191749,194068,196402,198756,201187,203475,205923,208433,210968,213453,215948,218541,221188,223825,226521,229308,232078,234845,237818,240640,243659,246745,249724,252743,255837,258973,262103,265309,268521,271847,275244,278563,281983,285377,288941,292417,295948,299585,303195,307032,310860,314654,318505,322373,326382,330524,334505,338652,342737,347000,351292,355614,359987,364458,369026,373669,378381,383096,387871,392789,397726,402650,407661,412822,418083,423282,428846,434418,440044,445708,451363,457191,462975,468829,474862,480947,487052,493436,499618,506240,512725,519384,526007,532649,539708,546616,553628,560770,568014,575239,582483,589863,597328,604876,612647,620578,628610,636686,644691,652909,661387,669834,678568,687064,695768,704779,713811,722972,732062,741581,750838,760265,769780,779516,789477,799273,809485,819729,830020,840595,851360,862028,872711,883631,894720,906012,917353,928835,940427,952378,964166,976288,988467,1000787,1013302,1025843,1038497,1051317,1064147,1077474,1090671,1104342,1117902,1131505,1145409,1159460
1,1,1,1,1,1,2,3,4,6,6,8,8,10,11,12,16,19,23,24,27,32,36,40,41,47,51,57,66,70,77,89,95,105,110,118,125,137,143,157,161,170,182,191,199,209,218,224,235,250,261,278,290,309,319,342,370,386,414,432,455,479,496,524,550,587,597,618,665,692,731,764,800,834,875,919,954,990,1030,1060,1098,1132,1177,1216,1257,1290,1324,1367,1400,1434,1472,1502,1540,1570,1600,1633,1660,1696,1718,1747,1788,1818,1849,1889,1929,1966,2005,2050,2087,2127,2173,2211,2246,2285,2322,2376,2428,2480,2530,2581,2634,2696,2756,2815,2870,2924,3002,3073,3132,3193,3267,3356,3434,3501,3560,3636,3701,3773,3852,3921,3990,4057,4146,4216,4280,4352,4422,4498,4572,4648,4722,4790,4868,4950,5018,5097,5200,5306,5398,5481,5567,5656,5740,5850,5952,6047,6156,6272,6372,6504,6614,6718,6822,6942,7065,7191,7332,7457,7600,7733,7868,8000,8125,8262,8375,8534,8656,8800,8933,9051,9182,9316,9468,9606,9741,9866,9990,10116,10247,10379,10524,10636,10760,10913,11049,11171,11289,11423,11555,11690,11844,11998,12126,12268,12411,12561,12714,12879,13033,13199,13346,13491,13666,13821,13989,14159,14328,14507,14721,14903,15065,15256,15462,15655,15860,16069,16299,16529,16747,16953,17185,17429,17660,17885,18100,18347,18573,18851,19134,19400,19636,19931,20204,20475,20732,21001,21311,21630,21916,22242,22533,22807,23100,23403,23724,23996,24314,24651,24984,25287,25571,25907,26229,26566,26897,27252,27602,27940,28290,28671,29037,29400,29755,30127,30520,30906,31289,31683,32115,32525,32933,33345,33765,34205,34642,35093,35557,36058,36580,37112,37680,38236,38807,39349,39887,40462,41076,41666,42269,42824,43461,44075,44722,45379,46047,46716,47400,48040,48772,49512,50248,50956,51689,52450,53211,53961,54732,55466,56214,57005,57760,58542,59328,60111,60944,61734,62530,63363,64233,65091,66010,66893,67738,68666,69604,70622,71545,72482,73471,74463,75496,76573,77616,78654,79688,80815,81954,83171,84299,85502,86691,87897,89123,90331,91599,92846,94194,95549,96867,98217,99592,100969,102390,103798,105218,106632,108073,109486,111080,112507,113967,115450,116956,118452,119993,121623,123292,124972,126666,128407,130146,131964,133775,135589,137458,139353,141322,143284,145264,147235,149235,151329,153409,155539,157666,159853,162080,164426,166616,168878,171207,173500,175930,178324,180759,183214,185742,188241,190744,193393,196025,198675,201474,204106,206848,209670,212657,215570,218511,221524,224540,227648,230790,233961,237151,240495,243845,247280,250823,254301,257898,261541,265187,268900,272729,276489,280284,284459,288541,292734,296968,301234,305497,309913,314443,318833,323324,327882,332462,337151,342032,346844,351677,356613,361561,366482,371524,376647,381936,387265,392611,398034,403663,409162,414910,420397,426144,432004,437968,443836,449770,455951,462092,468336,474701,480968,487506,494202,501018,507758,514492,521359,528359,535521,542783,549935,557319
1,1,1,1,2,3,4,5,7,8,9,16,21,22,25,28,32,42,47,51,59,66,74,78,84,89,96,112,118,128,144,151,160,173,178,184,194,209,214,222,235,241,252,258,268,281,288,298,310,328,339,356,372,387,399,429,463,488,515,532,565,592,619,647,676,711,738,772,807,844,881,916,961,1003,1036,1077,1109,1153,1191,1234,1278,1312,1351,1388,1427,1471,1506,1546,1607,1648,1693,1738,1795,1832,1871,1921,1968,2019,2067,2108,2154,2196,2265,2313,2369,2419,2463,2523,2579,2639,2701,2741,2799,2832,2893,2964,3012,3083,3152,3207,3272,3340,3410,3472,3532,3610,3693,3768,3852,3927,4002,4092,4174,4278,4388,4469,4587,4684,4792,4868,4964,5079,5174,5261,5364,5463,5556,5651,5756,5859,5945,6058,6148,6237,6332,6432,6521,6619,6718,6826,6921,7013,7100,7208,7320,7413,7510,7609,7715,7821,7935,8052,8197,8311,8448,8592,8716,8849,8998,9127,9268,9418,9563,9699,9866,10022,10197,10381,10578,10749,10918,11144,11317,11523,11713,11919,12127,12345,12572,12800,13007,13244,13472,13720,13973,14221,14462,14723,14926,15200,15468,15731,16025,16300,16575,16837,17067,17362,17663,17968,18249,18551,18916,19249,19552,19882,20216,20563,20908,21268,21621,21984,22318,22672,23077,23463,23843,24201,24539,24919,25305,25672,26087,26498,26912,27356,27817,28252,28690,29166,29653,30135,30666,31218,31729,32275,32792,33351,33943,34536,35109,35689,36261,36879,37557,38196,38858,39545,40223,40943,41619,42303,43011,43754,44487,45237,45941,46708,47502,48231,49026,49847,50610,51389,52158,53000,53828,54678,55507,56362,57238,58113,59034,59955,60882,61849,62859,63815,64809,65824,66863,67923,69038,70152,71279,72415,73573,74735,75932,77108,78233,79439,80728,81979,83238,84501,85866,87191,88544,89932,91307,92724,94165,95636,97149,98655,100206,101732,103218,104795,106406,107901,109492,111120,112730,114377,116036,117714,119408,121070,122871,124620,126379,128212,130052,131832,133684,135599,137483,139387,141334,143368,145383,147442,149514,151587,153664,155916,158084,160356,162516,164860,167138,169413,171757,174199,176554,179010,181517,184022,186502,189246,191893,194589,197205,199852,202579,205347,208136,210973,213865,216710,219604,222605,225543,228598,231665,234795,238019,241066,244161,247304,250538,253853,257154,260589,263999,267495,271162,274774,278495,282218,286005,289774,293446,297427,301524,305568,309702,313817,318058,322231,326456,330747,335168,339610,344092,348690,353311,357892,362644,367473,372381,377238,382266,387196,392257,397532,402799,408055,413615,419091,424760,430390,436109,442053,448017,453943,460014,466132,472392,478776,485183,491646,498185,504728,511379,518072,524979,531995,538989,546240,553524,560720,567972,575373,582916,590487,598130,605854,613839,621781,629710,637829,646107,654518,663136,671603,680226,689036,697875,706964,716181,725371,734874,744370,753948,763703,773670,783594,793702,804093,814545,825155,835894,846901,858188,869576,880866,892259,903807,915571,927373,939575,951855,964484,977101
1,1,1,1,1,1,1,4,6,6,6,6,6,7,7,8,10,11,12,12,15,16,16,17,19,22,23,31,33,35,37,41,53,55,60,69,71,77,83,89,93,97,100,105,113,116,123,130,135,141,147,156,162,171,175,181,189,195,203,209,216,232,237,242,255,264,271,277,290,296,301,313,323,331,343,359,369,377,384,396,415,437,459,474,492,508,542,564,582,605,633,661,695,730,760,789,829,859,886,918,952,980,1007,1040,1063,1092,1116,1150,1180,1218,1246,1272,1296,1331,1363,1400,1447,1476,1514,1555,1597,1645,1686,1731,1791,1838,1900,1960,2032,2094,2146,2195,2250,2302,2367,2449,2524,2589,2664,2743,2835,2908,2991,3089,3171,3272,3370,3470,3560,3659,3765,3883,4010,4119,4243,4370,4475,4580,4677,4804,4911,5018,5141,5267,5409,5533,5657,5787,5933,6042,6194,6318,6454,6593,6750,6894,7042,7201,7345,7516,7662,7823,7971,8142,8304,8455,8605,8769,8939,9089,9254,9441,9592,9782,9949,10128,10305,10462,10634,10830,11000,11187,11356,11524,11691,11886,12074,12250,12460,12667,12855,13020,13205,13386,13609,13819,14010,14212,14416,14623,14854,15073,15293,15523,15766,16013,16233,16480,16705,16949,17215,17468,17729,18001,18265,18520,18797,19040,19323,19593,19854,20129,20427,20741,21014,21300,21563,21862,22182,22481,22799,23095,23381,23690,24022,24326,24672,24956,25306,25631,25988,26359,26694,27036,27385,27733,28108,28507,28890,29284,29669,30109,30517,30915,31312,31748,32178,32620,33049,33454,33929,34390,34870,35308,35753,36175,36602,37088,37539,38004,38452,38914,39395,39916,40425,40940,41455,41974,42549,43098,43654,44183,44721,45277,45830,46374,46938,47503,48091,48705,49368,50011,50601,51275,51914,52574,53257,53957,54709,55475,56219,56928,57687,58434,59243,60029,60777,61634,62475,63343,64179,65016,65847,66696,67564,68474,69414,70363,71296,72275,73214,74135,75115,76140,77128,78142,79190,80224,81277,82396,83500,84602,85757,86824,87990,89159,90383,91645,92914,94183,95423,96700,97988,99343,100688,102047,103372,104763,106170,107616,108968,110446,111886,113337,114856,116383,117984,119527,121053,122600,124173,125754,127300,128910,130660,132372,134095,135883,137666,139401,141236,143131,144967,146984,149034,150934,152898,154940,156913,159031,161217,163326,165506,167735,169899,172225,174545,176848,179170,181643,184058,186507,189011,191554,194228,196925,199583,202189,204919,207710,210519,213297,216246,219169,222106,224975,228007,231126,234191,237353,240588,243817,247131,250536,253941,257466,260977,264507,268088,271724,275443,279272,282944,286743,290692,294527,298504,302509,306605,310650,314798,318988,323133,327403,331638,336005,340365,344735,349171,353799,358408,363052,367749,372580,377382,382328,387518,392582,397697,402888,408203,413531,418919,424447,430055,435577,441154,446960,452817,458612,464537,470536,476557,482695,488959,495313,501764,508111,514613,521196,527917,534740,541707,548563,555605,562692,569824
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1,1,1,1,1,1,1,1,1,1,2,3,6,6,9,12,12,14,14,16,16,18,19,22,26,30,32,33,36,37,38,41,44,45,50,53,59,64,76,85,93,103,111,122,134,142,147,156,164,179,188,198,212,219,227,238,248,261,273,285,300,313,326,342,357,372,393,412,428,446,464,494,514,548,570,597,635,653,687,714,742,782,823,875,917,954,991,1033,1073,1113,1149,1187,1218,1263,1301,1345,1382,1420,1460,1489,1519,1554,1599,1649,1678,1714,1753,1812,1857,1901,1936,1983,2033,2080,2119,2154,2190,2222,2260,2305,2346,2392,2425,2469,2515,2548,2594,2652,2700,2743,2791,2837,2889,2955,3022,3091,3146,3211,3281,3341,3411,3482,3555,3632,3726,3807,3896,3974,4058,4141,4224,4307,4384,4469,4562,4654,4753,4842,4944,5031,5124,5228,5325,5429,5529,5653,5772,5867,5983,6093,6213,6339,6470,6596,6751,6925,7083,7235,7383,7542,7705,7867,8036,8205,8385,8576,8758,8955,9141,9310,9509,9713,9914,10105,10293,10495,10723,10949,11174,11401,11604,11872,12098,12356,12583,12848,13090,13339,13588,13850,14129,14386,14672,14959,15257,15560,15848,16132,16423,16702,16958,17243,17563,17871,18175,18471,18798,19093,19424,19765,20109,20442,20805,21142,21482,21874,22243,22639,23009,23401,23816,24244,24647,25080,25540,25976,26429,26881,27371,27848,28360,28836,29314,29829,30330,30825,31340,31832,32371,32859,33350,33917,34419,34955,35497,36045,36589,37180,37710,38275,38836,39370,39922,40522,41088,41674,42280,42911,43516,44144,44769,45358,46011,46622,47282,47927,48587,49243,49838,50477,51203,51892,52618,53349,54119,54909,55644,56417,57158,57964,58766,59580,60417,61270,62168,63039,63855,64760,65641,66563,67497,68427,69417,70403,71355,72383,73390,74385,75431,76443,77537,78627,79776,80935,82020,83171,84330,85504,86643,87891,89207,90476,91755,93109,94475,95831,97289,98632,100062,101590,103027,104575,106147,107769,109362,111025,112681,114351,115994,117615,119248,120932,122716,124488,126361,128145,129960,131851,133696,135719,137740,139763,141829,144022,146142,148391,150597,152877,155221,157579,160005,162459,164970,167535,170141,172771,175505,178241,181110,183964,186848,189824,192748,195742,198753,201818,205017,208150,211434,214658,218050,221477,224799,228221,231678,235219,238897,242501,246256,250022,253874,257665,261482,265365,269384,273417,277517,281628,285857,290080,294407,298733,303120,307493,311864,316473,321068,325688,330238,334994,339846,344687,349574,354560,359559,364602,369643,374763,380055,385272,390788,396369,401917,407490,413162,418969,424775,430727,436593,442732,448998,455194,461615,468095,474682,481299,487989,494739,501670,508658,515831,523069,530316,537764,545364,552927,560745,568513,576567,584634,592741,600973,609357,617636,626340,635004,643767,652553,661562,670911,680033,689385,698835,708348,717818,727533,737452,747514,757626,767841,778257,788730,799549,810322,821075,831961,843078,854503,865945,877575,889358,901241,913102,925265,937514,950092,962783
1,1,1,1,1,2,4,5,7,7,9,9,9,9,11,15,22,27,34,41,46,52,56,62,66,74,83,91,108,123,132,148,159,175,185,198,212,227,237,257,277,289,307,332,344,357,368,387,401,415,429,443,462,484,496,509,529,551,564,578,597,612,624,632,647,658,673,687,709,724,746,764,781,800,821,848,870,888,913,933,964,992,1026,1051,1071,1100,1117,1146,1172,1201,1234,1260,1292,1318,1350,1380,1412,1439,1466,1497,1527,1555,1585,1615,1650,1676,1699,1737,1772,1818,1852,1897,1943,1994,2046,2093,2134,2176,2230,2289,2337,2389,2442,2506,2577,2640,2702,2762,2815,2872,2931,2987,3044,3132,3188,3256,3314,3387,3456,3527,3597,3680,3767,3850,3937,4008,4085,4159,4248,4327,4396,4474,4552,4639,4702,4778,4838,4915,4993,5084,5159,5230,5320,5402,5490,5555,5644,5731,5833,5930,6003,6103,6184,6253,6322,6393,6473,6565,6664,6742,6836,6929,6989,7071,7152,7240,7336,7423,7499,7596,7684,7778,7900,7987,8083,8198,8308,8412,8524,8648,8754,8889,9012,9141,9278,9420,9545,9669,9801,9932,10064,10205,10321,10438,10553,10660,10774,10905,11008,11134,11255,11365,11493,11626,11742,11853,11968,12112,12261,12392,12523,12668,12813,12946,13088,13246,13415,13590,13778,13940,14129,14310,14527,14727,14945,15147,15366,15601,15852,16082,16309,16568,16850,17116,17372,17633,17910,18175,18467,18750,19027,19263,19558,19836,20124,20362,20617,20846,21108,21379,21631,21904,22188,22453,22760,23050,23352,23649,23932,24221,24507,24829,25134,25426,25743,26047,26380,26663,26980,27295,27604,27918,28272,28586,28913,29248,29582,29938,30292,30646,30994,31326,31695,32048,32408,32778,33134,33494,33874,34246,34615,34985,35371,35760,36168,36529,36948,37371,37774,38205,38607,39079,39554,40005,40472,40933,41406,41929,42480,42975,43538,44080,44590,45163,45716,46259,46843,47459,48049,48684,49320,49961,50660,51281,51923,52654,53341,54037,54730,55409,56101,56811,57484,58212,58894,59651,60401,61123,61827,62569,63308,64028,64747,65531,66345,67087,67916,68702,69541,70389,71160,71982,72861,73715,74586,75492,76446,77404,78433,79393,80407,81378,82342,83331,84346,85384,86424,87544,88638,89751,90891,92093,93295,94502,95777,97029,98278,99598,100925,102291,103562,104904,106324,107673,109157,110633,112062,113592,115119,116748,118300,119890,121466,123098,124763,126507,128215,129912,131723,133524,135392,137232,139144,141086,142927,144812,146725,148755,150938,153025,155188,157400,159658,161827,164106,166432,168702,171142,173553,176066,178585,181118,183805,186548,189192,191969,194808,197588,200556,203437,206404,209309,212329,215258,218314,221320,224518,227687,230852,234149,237416,240686,244109,247453,250817,254252,257807,261320,264982,268655,272333,276045,279825,283631,287443,291463,295463,299573,303607,307811,312069,316426,320843,325318,329975,334518,339132,343885,348588,353352,358144,363084,368193,373367,378484,383667,388961
1,1,1,1,1,1,3,5,6,6,7,9,10,11,13,14,15,15,16,18,18,21,25,29,34,37,37,40,44,45,50,56,62,71,75,82,90,97,102,111,118,123,134,143,154,165,169,180,185,190,202,208,211,216,221,228,234,239,244,254,257,263,268,273,279,286,293,297,307,317,332,343,356,365,380,390,401,411,427,445,463,491,517,546,560,584,607,637,664,697,729,766,794,836,881,926,971,1018,1065,1098,1135,1177,1220,1260,1313,1361,1399,1445,1503,1543,1593,1636,1673,1719,1750,1783,1821,1883,1935,1978,2033,2081,2146,2211,2265,2324,2384,2436,2510,2573,2631,2694,2779,2868,2939,3013,3109,3194,3289,3386,3472,3547,3639,3723,3806,3906,3994,4100,4217,4300,4385,4499,4615,4719,4814,4916,5028,5132,5231,5360,5487,5608,5737,5861,5992,6139,6278,6413,6551,6691,6833,6985,7157,7301,7465,7644,7806,7975,8135,8316,8511,8723,8908,9110,9339,9544,9745,9989,10216,10479,10728,10982,11252,11516,11786,12036,12332,12632,12952,13278,13610,13944,14249,14562,14894,15234,15603,15949,16275,16590,16977,17331,17695,18039,18435,18802,19181,19560,19952,20383,20803,21217,21620,22060,22518,22961,23451,23918,24402,24907,25393,25857,26386,26925,27436,28015,28575,29085,29652,30166,30766,31336,31914,32509,33118,33739,34408,35107,35764,36439,37090,37764,38471,39182,39896,40668,41402,42173,43001,43818,44656,45499,46349,47228,48111,48987,49919,50885,51802,52727,53634,54594,55507,56500,57475,58466,59450,60395,61405,62365,63396,64454,65486,66547,67616,68723,69839,70925,72049,73217,74334,75561,76733,77897,79134,80433,81692,82919,84173,85545,86868,88255,89705,91153,92638,94152,95637,97210,98861,100446,102088,103820,105592,107334,109174,111025,112873,114702,116609,118514,120447,122395,124336,126356,128384,130593,132752,134859,137009,139299,141559,143782,145931,148253,150461,152826,155227,157570,160040,162530,165120,167685,170327,173092,175694,178419,181268,184063,186993,189876,192903,195934,199069,202114,205275,208468,211744,215093,218620,222111,225740,229291,232941,236514,240059,243685,247395,251258,255125,258881,262879,266857,270924,275207,279371,283599,288021,292574,296988,301406,305917,310518,315233,319909,324669,329653,334664,339642,344687,349682,354859,360049,365285,370632,376233,381920,387490,393170,398800,404567,410438,416440,422541,428659,434832,441210,447623,454141,460660,467206,474095,480963,487983,494898,502149,509354,516522,523945,531423,538956,546741,554709,562696,570716,579011,587264,595775,604281,613089,621995,630901,640168,649502,658898,668264,677895,687531,697461,707351,717477,727747,738218,748803,759618,770384,781056,791929,803053,814299,825801,837410,849137,861117,872784,884817,897158,909531,922205,934938,947671,960553,973516,986784,1000253,1013510,1027097,1040906,1054957,1069082,1083473,1097759,1112521,1127315,1142433,1157547,1173096,1188715,1204569,1220444,1236760,1253064,1269409,1286201,1302981,1320160,1337538,1355183,1372936,1390879,1408870,1427059,1445532,1464245,1483000,1502130,1521522,1540777
1,1,1,7,7,7,8,10,11,14,17,19,23,25,30,34,40,44,49,51,56,63,69,81,86,96,103,112,118,122,132,144,151,158,166,171,182,186,193,198,202,206,213,219,225,235,242,249,250,255,260,266,269,279,285,289,297,302,312,320,327,335,344,357,361,369,382,392,400,416,426,436,445,455,469,477,484,494,507,519,529,544,556,570,579,590,605,618,632,640,646,658,665,680,695,709,724,740,750,767,786,801,818,836,856,869,878,893,910,929,949,961,976,1001,1024,1038,1060,1087,1108,1120,1138,1160,1184,1211,1241,1266,1290,1322,1342,1373,1404,1431,1467,1493,1529,1567,1593,1625,1672,1715,1755,1797,1834,1879,1922,1959,2021,2075,2111,2165,2221,2275,2325,2378,2425,2486,2537,2589,2642,2703,2760,2834,2909,2977,3065,3119,3190,3268,3337,3426,3494,3574,3655,3756,3829,3914,3995,4083,4171,4240,4312,4400,4484,4570,4675,4785,4894,4992,5109,5211,5304,5396,5499,5587,5686,5778,5879,5981,6086,6182,6286,6399,6525,6656,6782,6903,7026,7162,7320,7453,7604,7730,7876,8007,8138,8270,8428,8585,8757,8929,9113,9288,9461,9598,9772,9929,10104,10276,10447,10636,10822,11007,11217,11424,11621,11827,12035,12227,12455,12664,12863,13072,13273,13498,13709,13935,14169,14389,14585,14820,15073,15286,15552,15807,16073,16330,16606,16867,17162,17454,17756,18075,18394,18735,19047,19406,19781,20103,20454,20791,21173,21557,21932,22316,22707,23143,23554,23956,24387,24841,25302,25750,26194,26666,27139,27615,28120,28613,29109,29662,30149,30678,31176,31715,32259,32809,33345,33892,34455,35000,35521,36087,36652,37248,37804,38366,38960,39552,40152,40769,41392,41996,42607,43267,43889,44542,45168,45853,46523,47236,47900,48621,49369,50073,50802,51545,52299,53134,53954,54795,55636,56447,57307,58129,58967,59842,60808,61758,62705,63700,64680,65681,66757,67822,68820,69857,70935,72022,73150,74214,75287,76462,77604,78786,79929,81056,82196,83389,84550,85756,86924,88084,89330,90615,91920,93201,94457,95714,96996,98369,99722,101113,102535,103962,105384,106870,108309,109726,111202,112671,114166,115758,117318,118878,120482,122001,123557,125207,126818,128498,130267,132032,133854,135721,137626,139501,141426,143412,145385,147444,149444,151644,153797,155946,158075,160338,162607,164913,167279,169731,172127,174527,177028,179550,182093,184643,187188,189825,192576,195289,198010,200672,203505,206402,209276,212257,215380,218491,221670,224889,228187,231493,234820,238254,241715,245257,248834,252372,256016,259740,263473,267333,271231,275088,279102,283107,287184,291227,295308,299379,303488,307662,311832,316137,320551,324856,329343,333836,338308,342841,347453,352219,357066,361888,366963,372062,377124,382200,387286,392534,397914,403223,408714,414369,419994,425695,431470,437344,443257,449215,455315,461533,467681,473899,480241,486569,493138,499615,506512,513243,520255,527205,534037,541224,548282,555581,562785
1,1,1,1,1,4,5,6,6,8,10,13,15,15,17,21,24,25,27,31,32,38,40,44,48,57,61,76,89,100,115,122,136,147,162,184,204,224,243,265,288,307,331,362,391,412,440,465,508,548,575,620,655,698,734,770,809,842,877,912,952,986,1029,1072,1119,1169,1211,1249,1288,1329,1392,1437,1487,1542,1591,1650,1709,1766,1819,1871,1934,2009,2090,2156,2221,2287,2355,2425,2487,2570,2633,2697,2780,2860,2931,3001,3076,3154,3241,3336,3422,3507,3605,3696,3791,3902,3996,4089,4180,4272,4349,4442,4525,4602,4679,4756,4853,4942,5034,5132,5210,5281,5366,5450,5545,5637,5714,5795,5900,5980,6080,6172,6270,6385,6498,6613,6722,6822,6932,7054,7178,7316,7443,7576,7697,7820,7946,8069,8195,8322,8458,8573,8703,8837,8963,9107,9247,9380,9516,9639,9765,9886,10020,10172,10321,10466,10586,10739,10879,11002,11165,11335,11501,11677,11845,12004,12181,12365,12529,12679,12849,13013,13188,13401,13594,13759,13942,14137,14325,14532,14753,14956,15162,15380,15624,15824,16050,16296,16532,16779,17034,17288,17551,17830,18086,18361,18631,18934,19228,19530,19811,20094,20391,20695,21067,21410,21708,22042,22409,22747,23118,23440,23790,24182,24573,24896,25278,25676,26011,26374,26818,27222,27605,27979,28414,28854,29243,29673,30048,30451,30876,31314,31763,32217,32654,33075,33526,33996,34405,34843,35322,35777,36186,36650,37138,37617,38076,38591,39110,39612,40122,40641,41152,41717,42276,42834,43389,43970,44516,45117,45715,46329,46979,47622,48302,49001,49743,50458,51133,51865,52678,53425,54193,54993,55786,56593,57452,58327,59266,60206,61146,62063,63057,64049,65020,66041,67039,68114,69176,70268,71377,72440,73605,74773,75880,77120,78327,79632,80900,82294,83552,84835,86145,87521,88871,90312,91763,93197,94632,96147,97581,99101,100593,102059,103582,105156,106756,108340,109973,111629,113246,114920,116624,118328,120102,121764,123589,125358,127229,129076,130945,132888,134843,136866,138847,140892,142948,145024,147112,149211,151436,153639,155888,158272,160563,163009,165502,168011,170459,172984,175579,178211,180817,183496,186220,188969,191736,194420,197219,200134,202976,205893,208863,211786,214815,217886,221032,224091,227228,230396,233658,236997,240324,243707,247042,250502,253949,257496,261119,264882,268693,272497,276484,280483,284484,288518,292709,296750,301094,305377,309755,314093,318635,323237,327909,332601,337347,342130,347111,352115,357265,362356,367587,373019,378368,383763,389226,394889,400620,406396,412212,418020,423982,430048,436223,442480,448770,455227,461820,468381,475042,481778,488634,495759,502938,510040,517395,524656,531998,539325,546814,554279,562097,569826,577687,585698,593848,601940,610149,618547,627132,635875,644411,653239,662087,671193,680341,689597,698845,708348,717813,727337,737066,746966,756947,766822,776994,786995,797510,808055,818838,829504,840302,851223,862149,873107,884287,895567,906935,918679,930326,942209,953991,966029,978321,990719,1003221,1015829,1028660,1041634,1054795,1067909,1080897,1094294,1108009,1122110,1136170
1,1,1,1,3,7,8,11,16,19,23,26,27,28,32,33,36,40,44,50,59,67,83,95,103,111,121,133,143,152,163,175,190,211,221,235,252,270,285,312,338,355,385,409,442,463,481,501,543,578,609,643,673,709,735,767,802,832,869,893,937,983,1014,1062,1096,1136,1181,1227,1263,1314,1360,1395,1433,1457,1516,1565,1613,1662,1718,1772,1829,1890,1953,2027,2088,2157,2224,2298,2375,2450,2528,2591,2657,2734,2813,2902,2992,3083,3195,3294,3382,3476,3585,3697,3826,3940,4029,4142,4260,4368,4473,4593,4706,4832,4955,5077,5190,5302,5414,5531,5656,5793,5908,6051,6181,6319,6464,6603,6759,6911,7080,7217,7372,7542,7720,7903,8057,8224,8393,8579,8771,8948,9117,9288,9485,9662,9838,10013,10191,10386,10575,10764,10940,11147,11376,11574,11810,12062,12323,12563,12791,12990,13236,13491,13730,13983,14270,14557,14803,15089,15351,15664,15947,16238,16555,16880,17207,17529,17856,18173,18530,18875,19260,19638,20016,20395,20734,21146,21532,21906,22309,22724,23132,23546,23971,24380,24804,25196,25615,26045,26440,26839,27259,27697,28125,28565,28973,29413,29847,30326,30770,31204,31633,32154,32630,33130,33666,34199,34755,35304,35825,36423,37022,37620,38208,38791,39387,40038,40634,41226,41823,42489,43137,43843,44493,45200,45928,46636,47422,48125,48849,49584,50364,51131,51961,52754,53566,54419,55248,56137,57098,57977,58869,59802,60680,61622,62595,63588,64561,65617,66643,67630,68716,69791,70839,71943,73079,74252,75389,76572,77824,79027,80212,81427,82696,84035,85396,86696,87961,89299,90669,91984,93373,94809,96281,97740,99255,100865,102398,103912,105600,107285,108942,110575,112293,114030,115774,117576,119451,121394,123267,125217,127284,129288,131281,133385,135544,137687,139856,142119,144318,146576,148863,151246,153670,156101,158512,160953,163503,166001,168590,171080,173581,176170,178821,181404,184148,186856,189611,192492,195337,198093,200930,203820,206732,209780,212778,215853,218922,222080,225311,228487,231656,234912,238210,241624,245062,248588,252007,255602,259096,262635,266351,269971,273838,277678,281437,285311,289306,293268,297344,301258,305444,309544,313762,317933,322255,326495,330859,335206,339676,344254,348881,353569,358176,363029,367741,372562,377463,382520,387532,392569,397689,402937,408343,413823,419201,424629,430263,435860,441528,447444,453518,459411,465491,471572,477793,484209,490670,497038,503708,510409,517242,524297,531236,538387,545591,552968,560497,567937,575804,583496,591484,599512,607488,615489,623694,631888,640269,648722,657153,665672,674483,683247,692183,700975,710004,719064,728057,737456,747120,756618,766278,776311,786146,796132,806276,816695,827070,837572,848244,859270,870126,881296,892560,903779,915515,927220,939004,950998,962925,975009,987397,999912,1012526,1025291,1038092,1051126,1064318,1077617,1091055,1104561,1118394,1132199,1146171,1160174,1174397,1188638,1203367,1218005,1232652,1247805,1262933,1278103,1293622,1309193,1324899,1340913,1357203,1373266,1389748,1406274,1422705,1439676,1456931,1474296,1491659,1509329,1527223,1545396,1563654,1582055,1600637,1619950,1639133,1658335,1677822
1,1,1,1,1,3,4,6,6,7,8,11,13,16,17,26,28,30,35,41,49,56,62,73,80,92,103,112,125,134,147,160,172,183,190,198,208,214,218,227,234,240,246,252,265,268,272,283,291,298,304,312,322,324,328,334,345,350,358,372,379,391,405,423,444,456,471,487,503,518,538,556,582,604,630,647,667,696,732,766,795,826,852,878,907,936,969,1014,1047,1082,1112,1148,1183,1231,1271,1312,1352,1397,1438,1484,1518,1565,1616,1649,1690,1724,1771,1821,1874,1907,1954,2016,2054,2102,2143,2187,2244,2290,2337,2388,2428,2482,2526,2577,2627,2674,2728,2774,2814,2870,2934,2978,3038,3108,3179,3251,3325,3395,3494,3556,3633,3715,3791,3882,3963,4045,4137,4220,4307,4409,4496,4585,4665,4751,4829,4927,5008,5082,5164,5259,5341,5416,5503,5593,5663,5737,5816,5896,5993,6072,6145,6235,6308,6395,6473,6561,6639,6728,6841,6949,7062,7152,7254,7363,7469,7573,7681,7808,7927,8070,8195,8359,8516,8637,8797,8944,9112,9290,9454,9630,9819,10007,10193,10400,10604,10811,11012,11221,11466,11678,11916,12159,12422,12679,12963,13211,13449,13705,13950,14191,14482,14745,15008,15276,15567,15838,16107,16393,16657,16941,17210,17476,17740,17979,18272,18545,18866,19139,19469,19775,20076,20373,20656,20943,21262,21628,21979,22284,22618,22985,23371,23746,24148,24545,24936,25297,25678,26073,26465,26894,27308,27722,28128,28553,29009,29429,29913,30413,30878,31354,31820,32322,32797,33298,33809,34348,34920,35467,36009,36571,37157,37718,38281,38884,39469,40112,40789,41453,42061,42716,43395,44061,44750,45476,46181,46894,47619,48348,49139,49918,50676,51501,52264,53030,53843,54636,55457,56240,57085,57964,58782,59633,60491,61407,62226,63103,63961,64872,65767,66719,67695,68677,69669,70689,71679,72726,73770,74780,75853,77012,78144,79268,80373,81495,82714,83989,85178,86386,87641,88910,90183,91454,92708,94063,95349,96640,97960,99278,100737,102251,103669,105060,106573,108089,109555,111137,112671,114185,115718,117291,118947,120575,122191,123887,125612,127347,129095,130854,132613,134340,136200,138084,140008,142064,143943,145908,147893,149848,151831,153869,156007,158093,160216,162291,164515,166766,168998,171239,173615,175966,178324,180708,183189,185649,188255,190860,193474,196182,198908,201651,204379,207209,210069,212994,215924,218924,221936,225028,228123,231282,234461,237722,240979,244324,247665,251060,254630,258124,261771,265527,269267,273042,276778,280562,284435,288399,292433,296494,300628,304788,309094,313466,317815,322238,326686,331276,335788,340349,344988,349843,354607,359446,364156,369089,374195,379355,384538,389926,395260,400711,406159,411617,417315,423095,428846,434759,440657,446489,452547,458551,464555,470728,477015,483316,489915,496441,503200,509913,516703,523619,530747,538152,545383,552799,560082,567447,575129,582825,590702,598644,606805,614993,623335,631731,640174,648895,657652,666586,675730,684853,694195,703497,713080,722779,732378,742185,752323
1,1,1,1,3,6,6,10,10,11,14,15,18,25,29,33,46,57,63,70,80,90,97,101,109,113,122,131,142,148,155,166,178,185,190,200,206,210,218,230,237,243,250,254,262,273,276,282,302,308,313,321,334,340,351,362,375,380,396,413,425,448,458,473,491,503,512,517,536,549,570,592,614,633,655,667,683,706,730,760,782,804,828,850,886,918,961,1002,1042,1087,1143,1189,1238,1295,1344,1385,1440,1500,1554,1614,1690,1747,1811,1870,1917,1972,2039,2109,2174,2259,2332,2408,2464,2538,2630,2705,2793,2880,2961,3044,3145,3228,3298,3391,3472,3557,3657,3748,3816,3914,3995,4091,4189,4278,4366,4476,4586,4664,4766,4865,4940,5024,5135,5262,5372,5469,5579,5681,5802,5915,6016,6112,6223,6319,6460,6579,6703,6829,6952,7092,7226,7352,7486,7626,7743,7889,8028,8177,8302,8480,8621,8791,8966,9156,9341,9528,9695,9871,10068,10237,10428,10622,10842,11074,11297,11484,11692,11901,12100,12334,12565,12814,13045,13296,13549,13795,14049,14262,14502,14765,15002,15236,15519,15766,16026,16293,16524,16820,17098,17379,17661,17937,18238,18577,18872,19185,19488,19790,20101,20456,20774,21117,21472,21823,22186,22553,22890,23261,23626,24022,24390,24790,25154,25558,25925,26303,26736,27112,27535,27928,28343,28743,29155,29576,29978,30414,30834,31249,31686,32115,32555,32998,33447,33911,34396,34861,35322,35771,36198,36653,37143,37668,38200,38724,39269,39776,40333,40881,41437,42031,42619,43220,43794,44403,44996,45614,46249,46888,47612,48275,48941,49669,50371,51077,51834,52576,53291,54050,54796,55552,56394,57187,57944,58793,59613,60425,61255,62159,63083,64051,64994,65888,66874,67798,68799,69849,70820,71762,72807,73890,74982,76126,77249,78415,79589,80733,81925,83133,84344,85598,86852,88096,89425,90688,92063,93452,94805,96113,97551,98911,100407,101898,103402,104914,106434,107936,109467,111087,112666,114305,116021,117677,119268,120918,122652,124324,126022,127762,129597,131393,133304,135225,137141,139019,140987,142999,145086,147046,149090,151107,153164,155284,157463,159600,161800,164021,166207,168439,170702,173078,175435,177769,180166,182590,184964,187330,189808,192171,194772,197322,199878,202535,205103,207643,210351,212876,215603,218242,220946,223600,226337,229074,232001,234874,237746,240703,243567,246661,249760,252840,256054,259134,262340,265496,268715,272068,275381,278693,281988,285401,288898,292347,295867,299474,303085,306722,310365,314150,317961,321861,325914,329936,333984,338225,342455,346729,351049,355377,359768,364224,368809,373576,378267,382986,387827,392840,397829,402926,407956,413032,418401,423598,428958,434373,439908,445380,451121,456875,462598,468435,474360,480399,486452,492724,499049,505364,511920,518511,525052,531689,538486,545359,552419,559387,566466,573716,581063,588584,596180,603754,611487,619506,627592,636028,644322,652751,661145,669724,678436,687324,696290,705469,714785,723923,733499,743137,752881,762699,772613,782536,792824,803100,813658,824227,835116,846014,857113
1,1,1,3,6,7,11,12,16,19,20,22,25,31,37,46,49,50,61,64,70,85,92,100,115,130,142,157,172,189,202,218,238,253,264,284,307,321,341,356,377,400,427,445,462,482,504,530,550,571,591,607,629,665,690,717,760,798,837,866,906,943,972,1019,1061,1110,1149,1208,1260,1296,1343,1389,1434,1491,1530,1579,1632,1689,1746,1813,1866,1908,1956,2012,2060,2111,2161,2220,2269,2311,2366,2424,2495,2569,2639,2691,2739,2799,2849,2896,2951,3013,3090,3166,3218,3281,3353,3408,3479,3548,3615,3690,3759,3837,3894,3969,4056,4143,4227,4307,4380,4479,4566,4659,4754,4848,4952,5074,5176,5290,5400,5508,5624,5750,5848,5962,6084,6207,6310,6457,6600,6725,6869,6995,7138,7277,7411,7553,7720,7893,8058,8221,8403,8560,8741,8921,9143,9351,9555,9757,9957,10179,10416,10646,10880,11082,11291,11560,11839,12104,12348,12606,12861,13131,13390,13692,13956,14265,14540,14823,15143,15427,15726,16036,16342,16632,16973,17324,17679,18033,18364,18694,19028,19386,19776,20137,20525,20919,21336,21760,22171,22569,22983,23383,23776,24181,24652,25114,25531,25988,26470,26924,27381,27828,28312,28789,29267,29741,30232,30703,31188,31685,32194,32687,33181,33673,34202,34715,35239,35781,36370,36981,37567,38174,38745,39398,39973,40581,41248,41938,42600,43330,44020,44784,45497,46236,47023,47760,48540,49337,50135,50911,51739,52533,53352,54219,55039,55895,56855,57804,58729,59616,60526,61456,62410,63374,64413,65468,66516,67541,68576,69673,70763,71882,72989,74131,75303,76459,77589,78814,79996,81142,82363,83673,84974,86261,87622,88908,90240,91573,93001,94355,95732,97224,98641,100113,101546,103067,104603,106249,107903,109543,111147,112824,114554,116273,117957,119814,121628,123513,125369,127177,129019,130942,132955,134848,136851,138759,140799,142825,144852,146847,148913,151012,153147,155330,157508,159763,161998,164202,166487,168822,171306,173672,176085,178566,181065,183646,186149,188744,191380,193924,196690,199435,202180,205075,207927,210900,213801,216875,219846,222860,225976,229132,232288,235639,238960,242239,245654,249233,252725,256216,259833,263511,267129,271035,274840,278789,282816,286891,290971,295100,299377,303533,307828,312144,316506,321019,325539,330140,334974,339775,344645,349461,354353,359370,364356,369646,375033,380384,385928,391530,397266,403012,408895,414859,420719,426741,432843,439106,445445,451707,458130,464778,471459,478225,484957,491791,498725,505811,512947,520203,527345,534745,542254,549890,557662,565435,573276,581312,589398,597506,605797,614215,622689,631250,639887,648665,657624,666694,675827,684952,694139,703538,713255,722934,732575,742361,752314,762382,772710,783003,793317,803719,814403,824993,835984,846783,858246,869690,881244,892868,904693,916454,928450,940398,952665,965194,977591,990392,1003393,1016514,1029760,1043077,1056842,1070482,1084494,1098505,1112651,1127128,1141383,1155927,1170617,1185640,1200924,1216025,1231427,1247188,1263157,1279199,1295296,1311840,1328322,1345008,1361746,1378904,1396294,1413727,1431389,1449448,1467559,1485889,1504580,1523407,1542313,1561684,1580932
1,1,2,3,5,6,7,12,15,17,17,22,23,23,23,25,26,31,37,39,45,49,52,56,61,68,80,84,89,99,103,113,121,129,141,146,155,166,181,195,202,216,232,249,266,277,292,306,322,345,365,378,403,431,462,498,524,559,594,619,656,691,717,745,771,806,835,866,902,931,949,980,1021,1050,1087,1107,1152,1183,1209,1240,1269,1303,1334,1375,1416,1451,1481,1525,1557,1598,1653,1705,1749,1782,1850,1883,1933,1984,2021,2095,2158,2214,2269,2332,2384,2433,2493,2555,2612,2675,2730,2785,2847,2923,2978,3040,3100,3155,3216,3302,3378,3473,3548,3616,3692,3771,3853,3943,4038,4128,4219,4317,4416,4526,4619,4717,4795,4875,4961,5077,5174,5271,5363,5450,5540,5643,5733,5831,5942,6047,6135,6241,6338,6443,6548,6657,6769,6873,6964,7054,7159,7282,7390,7513,7652,7783,7933,8060,8229,8383,8536,8687,8843,9027,9197,9374,9581,9766,9937,10157,10354,10584,10823,11055,11273,11488,11721,11925,12147,12384,12623,12869,13105,13378,13657,13897,14172,14434,14714,14993,15267,15591,15906,16222,16539,16838,17123,17434,17809,18155,18511,18851,19176,19529,19901,20287,20649,21018,21404,21775,22129,22542,22934,23328,23721,24084,24486,24875,25294,25738,26183,26589,26979,27434,27839,28225,28683,29125,29569,30030,30476,30923,31378,31863,32316,32784,33266,33803,34342,34890,35448,36037,36616,37169,37719,38310,38875,39535,40172,40857,41478,42147,42813,43526,44219,44963,45658,46385,47141,47865,48616,49372,50172,50971,51739,52570,53409,54229,55064,55898,56841,57703,58641,59601,60500,61415,62436,63433,64432,65476,66516,67511,68556,69679,70807,71936,73025,74089,75226,76372,77535,78707,79911,81113,82295,83526,84727,85891,87096,88373,89651,90894,92146,93477,94719,95965,97292,98700,100055,101449,102751,104171,105543,107048,108540,109848,111252,112669,114136,115525,116964,118419,119908,121344,122870,124360,125917,127410,128934,130497,132104,133709,135358,137047,138709,140496,142241,144005,145742,147559,149373,151133,152937,154786,156600,158495,160430,162396,164394,166358,168318,170339,172385,174428,176497,178580,180772,182943,185156,187380,189679,191921,194208,196522,198989,201450,203895,206405,208936,211487,214114,216738,219403,222148,224979,227754,230731,233611,236473,239497,242650,245687,248816,252071,255339,258585,261939,265299,268729,272231,275859,279367,282892,286532,290245,293958,297758,301560,305413,309239,313179,317145,321197,325242,329422,333458,337634,341917,346262,350647,355261,359818,364429,369155,373996,378816,383674,388663,393748,398911,404155,409504,414956,420377,425993,431505,437239,442908,448692,454604,460670,466711,472869,479180,485486,492019,498592,505164,511855,518789,525824,532823,539946,547199,554586,562174,569688,577329,585143,593277,601386,609650,617952,626356,634822,643484,652375,661341,670506,679795,689097,698568,708329,718114,727875,737916,748001,758358,768712,778961,789567,800471,811382,822234,833180,844434,855551,867033,878797,890742,902816,914947,927249,939832,952377,965204,977991
1,1,1,1,1,3,6,6,6,6,6,7,8,10,11,13,15,17,18,22,25,27,31,35,42,51,61,70,83,88,97,107,114,120,134,145,162,176,186,205,220,242,267,288,309,331,348,369,389,415,447,475,498,525,545,571,602,642,684,719,755,802,850,892,942,984,1034,1094,1158,1225,1275,1335,1387,1435,1498,1553,1600,1649,1701,1751,1818,1871,1922,1984,2028,2081,2136,2183,2230,2274,2328,2384,2436,2496,2551,2614,2681,2742,2814,2873,2941,2997,3067,3140,3229,3304,3370,3446,3522,3590,3662,3760,3859,3947,4040,4116,4199,4277,4373,4464,4571,4686,4834,4948,5049,5173,5273,5386,5517,5640,5749,5883,6039,6154,6285,6416,6523,6684,6807,6943,7097,7236,7355,7474,7595,7749,7866,7998,8137,8286,8398,8518,8673,8826,8968,9110,9254,9406,9561,9733,9878,10027,10193,10361,10489,10646,10828,10995,11158,11350,11492,11662,11845,12012,12191,12370,12543,12726,12899,13080,13265,13447,13621,13825,13999,14186,14410,14586,14774,14955,15155,15363,15535,15721,15919,16124,16317,16520,16721,16961,17206,17452,17709,17971,18201,18421,18674,18894,19149,19411,19638,19889,20139,20411,20662,20917,21198,21447,21729,22021,22282,22541,22791,23066,23351,23618,23925,24203,24490,24780,25072,25405,25670,25974,26309,26609,26922,27236,27546,27874,28232,28594,28940,29263,29596,29943,30337,30726,31109,31483,31858,32229,32612,33026,33442,33872,34297,34736,35176,35618,36130,36598,37099,37576,38077,38589,39119,39648,40185,40704,41189,41742,42263,42800,43389,43929,44488,45020,45576,46151,46735,47331,47964,48552,49198,49805,50397,50991,51593,52190,52754,53354,53963,54649,55252,55906,56561,57248,57901,58572,59256,59941,60591,61273,61952,62633,63322,64060,64742,65455,66176,66849,67577,68289,69014,69766,70481,71275,72071,72859,73668,74534,75338,76201,77047,77924,78785,79632,80507,81457,82393,83371,84316,85308,86275,87300,88365,89410,90483,91626,92688,93828,94952,96049,97248,98407,99615,100849,102126,103410,104677,106023,107339,108719,110119,111530,113010,114470,116010,117460,118965,120587,122122,123799,125389,127040,128708,130429,132159,133925,135665,137452,139167,141006,142806,144714,146550,148501,150505,152446,154384,156366,158413,160460,162560,164637,166816,168990,171125,173372,175627,177786,180064,182420,184837,187211,189581,192130,194687,197247,199868,202484,205254,207981,210733,213574,216528,219546,222522,225541,228699,231849,234968,238134,241310,244644,248048,251478,254967,258470,262065,265650,269328,273071,276811,280762,284733,288593,292529,296544,300656,304786,308962,313187,317442,321771,326091,330508,335067,339596,344144,348712,353468,358309,363099,367948,372823,377814,382898,387967,393224,398528,403950,409350,414845,420428,426098,431914,437664,443413,449256,455313,461405,467625,474062,480587,487200,493875,500567,507350,514371,521639,528825,536105,543348,550703,558092,565699,573403,581365,589301,597325,605459,613758,622273,630765,639409,648187,657108,666087,675189,684175,693301,702640,712130,721680,731437