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
1,1,1,3,3,4,6,6,6,7,7,8,8,9,11,13,14,17,18,18,19,19,23,23,24,30,35,35,38,39,43,45,46,50,51,53,55,60,63,68,73,76,78,82,83,87,90,96,100,103,110,118,122,124,128,130,136,139,143,151,161,168,174,182,186,195,208,215,235,241,253,264,280,292,302,309,323,337,360,382,397,416,435,466,492,523,564,602,639,687,726,769,829,880,934,991,1050,1104,1157,1211,1265,1322,1389,1463,1532,1593,1669,1744,1829,1915,1995,2086,2185,2302,2427,2545,2681,2805,2933,3061,3180,3321,3467,3619,3764,3925,4073,4216,4346,4490,4617,4737,4883,4992,5115,5235,5352,5472,5583,5709,5839,5972,6128,6263,6387,6530,6673,6801,6960,7088,7234,7373,7524,7708,7867,8028,8210,8403,8570,8770,8959,9163,9359,9576,9777,10006,10237,10463,10686,10949,11207,11464,11733,11993,12277,12553,12878,13174,13494,13792,14123,14436,14789,15167,15552,15935,16325,16744,17214,17639,18097,18564,19049,19555,20117,20665,21197,21833,22411,23027,23670,24311,25013,25709,26406,27111,27836,28578,29382,30162,30990,31850,32658,33507,34380,35300,36268,37179,38127,39090,40060,41082,42177,43203,44326,45459,46588,47738,48873,50045,51223,52490,53721,55033,56385,57735,59064,60430,61791,63207,64579,66040,67471,68891,70390,71901,73459,75112,76684,78349,80108,81844,83555,85433,87319,89233,91241,93238,95298,97374,99634,101785,104087,106411,108856,111243,113746,116153,118690,121277,123879,126524,129166,131820,134520,137323,140097,142977,145840,148935,152037,155195,158435,161681,164962,168392,171845,175284,178903,182593,186197,189888,193728,197583,201596,205643,209730,213972,218198,222398,226665,230986,235629,240070,244747,249642,254611,259578,264741,270010,275444,280893,286489,292097,297667,303296,309158,315082,321133,327226,333434,339684,345903,352195,358813,365372,372020,378811,385744,392704,399709,406608,413812,421195,428618,436007,443798,451542,459581,467768,475925,484417,493096,501776,510594,519506,528641,537767,547016,556531,566187,575933,585769,595627,605810,616050,626610,637444,648056,658893,670035,681125,692437,704079,715796,727840,739871,751920,764340,777062,789588,802251,815303,828280,841598,855204,868832,882431,896257,910521,924726,939054,953395,967833,982192,996853,1011727,1026972,1042044,1057299,1072544,1087960,1103698,1119488,1135399,1151414,1167600,1183853,1200108,1216648,1232965,1249832,1266879,1284057,1301210,1318540,1336073,1353691,1371622,1389708,1407789,1425999,1444434,1462836,1481467,1500087,1519287,1538355,1557734,1577431,1597380,1617212,1637462,1658240,1679080,1699912,1720983,1742324,1763834,1785627,1807643,1829566,1852176,1874606,1897306,1920583,1943672,1966823,1990680,2014610,2038603,2062789,2086926,2111695,2136507,2161635,2186622,2211782,2237261,2262912,2288825,2315100,2341115,2367119,2393377,2420010,2446659,2473348,2500441,2527581,2555105,2582411,2610017,2638177,2665973,2693376,2721248,2749161,2777400,2805765,2834253,2862991,2891467,2919919,2948667,2977528,3006217,3035125,3064185,3093570,3122845,3152024,3181757,3211446,3240907,3270280,3300041,3329539,3359027,3388552,3418586,3448515,3478494,3508174,3537962,3568215,3598416
1,1,1,1,1,1,6,6,6,7,7,7,10,10,12,15,16,17,18,20,21,23,23,25,28,29,29,30,31,32,35,35,37,39,40,43,44,45,48,51,53,55,58,58,59,60,63,65,71,72,74,74,76,79,82,83,84,85,89,92,95,97,98,101,102,106,108,111,114,120,121,122,125,129,131,132,133,136,137,144,146,147,148,150,151,155,157,161,164,168,170,174,178,182,184,186,188,190,192,193,195,199,200,204,208,213,215,218,221,223,223,226,229,230,234,235,235,235,236,236,238,239,243,246,248,251,254,257,260,261,263,267,272,276,277,279,280,281,281,284,284,286,289,292,295,297,297,300,304,304,305,307,307,309,311,314,319,322,322,323,325,325,325,327,327,329,329,329,330,330,331,331,332,333,335,337,339,341,341,342,342,342,345,347,348,349,353,356,361,364,368,369,370,372,373,374,376,376,376,377,378,378,380,380,381,381,381,381,381,383,383,384,385,387,388,388,390,391,391,391,392,393,394,396,398,398,399,400,400,400,401,403,404,404,405,407,408,408,409,410,411,414,415,417,417,418,420,422,423,423,424,426,427,429,430,434,437,440,444,448,450,453,456,458,466,470,471,473,477,481,481,485,488,493,500,502,506,512,516,518,521,524,535,541,548,554,560,566,570,576,587,596,603,609,616,626,635,643,647,656,669,672,680,687,692,696,703,712,719,724,734,740,752,759,766,775,781,787,790,796,802,810,812,818,821,826,834,840,844,852,861,868,870,874,879,884,892,898,902,908,916,925,930,937,950,959,968,977,986,993,999,1010,1020,1032,1041,1050,1062,1071,1082,1094,1101,1113,1119,1130,1137,1146,1165,1177,1188,1204,1210,1222,1235,1247,1262,1274,1292,1302,1325,1340,1363,1375,1395,1412,1426,1439,1460,1481,1495,1515,1532,1559,1580,1603,1629,1652,1678,1696,1723,1753,1774,1800,1813,1835,1861,1876,1894,1914,1934,1950,1961,1978,2001,2017,2050,2071,2091,2115,2136,2160,2178,2188,2213,2230,2244,2267,2289,2304,2325,2346,2361,2380,2395,2421,2459,2476,2503,2529,2548,2567,2584,2599,2620,2652,2671,2699,2710,2734,2760,2784,2807,2836,2865,2894,2921,2947,2972,2994,3012,3034,3059,3087,3114,3134,3156,3184,3216,3246,3264,3296,3328,3363,3398,3436,3472,3519,3561,3612,3664,3707,3767,3818,3902,3977,4063,4154,4259,4378,4484,4600,4715,4829,4953,5045,5150,5260,5374
1,1,1,1,1,2,2,2,2,2,2,2,4,5,5,7,9,9,10,10,11,13,15,15,15,16,19,22,24,27,32,34,35,39,43,51,54,59,67,76,85,89,91,97,105,112,116,119,123,124,130,137,143,149,153,159,170,178,191,203,217,233,243,249,263,272,280,288,296,309,320,335,348,360,371,385,398,418,428,444,463,478,490,509,522,548,575,599,633,645,668,696,724,747,775,799,827,855,883,916,943,971,995,1021,1055,1081,1120,1146,1180,1204,1234,1264,1307,1342,1381,1413,1455,1487,1517,1556,1592,1627,1674,1704,1736,1760,1797,1846,1882,1917,1943,1983,2019,2065,2108,2150,2205,2256,2305,2365,2424,2473,2545,2592,2641,2697,2763,2822,2888,2945,3040,3115,3197,3288,3366,3450,3537,3640,3743,3872,3972,4090,4176,4303,4401,4527,4661,4769,4898,5022,5136,5279,5449,5583,5710,5852,5998,6137,6285,6446,6619,6767,6908,7044,7199,7382,7528,7677,7845,8027,8202,8401,8575,8768,8968,9153,9329,9522,9734,9945,10175,10405,10626,10819,11023,11230,11457,11702,11931,12154,12378,12626,12872,13142,13382,13629,13882,14161,14422,14693,14951,15244,15515,15825,16134,16443,16719,17008,17310,17619,17897,18193,18514,18835,19158,19479,19804,20152,20472,20834,21187,21529,21918,22283,22703,23097,23493,23916,24309,24740,25184,25631,26100,26590,27109,27615,28158,28698,29321,29984,30625,31297,31933,32649,33356,34062,34814,35560,36343,37171,37972,38754,39587,40515,41377,42226,43096,44010,44985,45947,46943,47929,48903,49870,50890,51945,53028,54085,55122,56188,57342,58428,59506,60622,61816,62947,64183,65397,66650,67959,69236,70613,71994,73445,74921,76334,77759,79223,80730,82265,83741,85329,86906,88512,90081,91724,93365,95060,96703,98402,100073,101822,103503,105249,107082,108881,110661,112529,114392,116381,118270,120357,122435,124477,126642,128881,131166,133453,135775,138032,140419,142884,145405,147944,150619,153295,156093,158741,161573,164392,167343,170304,173339,176340,179512,182777,186048,189388,192870,196506,200220,203866,207605,211437,215261,219381,223504,227733,232162,236543,241014,245549,250238,254962,259859,264840,269833,274720,279904,285039,290404,295836,301328,306994,312555,318334,324045,329922,335872,342044,348418,354680,361235,367808,374585,381322,388300,395523,402816,410197,417792,425285,433042,440881,448846,457020,465248,473516,482022,490794,499561,508654,518040,527310,536905,546450,556362,566509,576797,587358,598073,608914,619960,631150,642489,653980,665650,677561,689582,701733,714046,726453,738929,751525,764207,777015,789842,803160,816318,829687,843178,856713,870399,884475,898578,912869,927516,941956,956719,971665,986626,1001475,1016572,1031892,1047248,1062908,1078807,1094783,1111017,1127164,1143697,1160250,1177121,1193987,1211076,1228437,1245977,1263259,1281015,1298588,1316701,1334646,1352840,1371015,1389501,1407843,1426455,1445061,1464046,1483275,1502304,1521630,1540906,1560191,1579721,1599303,1619437,1639458,1659582,1679730,1699903,1720226,1740536,1761211,1781852,1802759,1823587
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1,1,1,1,1,1,1,1,2,3,3,4,4,6,8,9,10,11,13,13,14,14,16,19,24,27,32,38,39,44,50,55,59,64,67,73,79,92,97,99,101,106,112,115,122,125,135,142,150,158,165,171,180,188,192,201,209,216,223,231,237,246,251,259,264,267,275,284,295,307,311,317,324,334,337,343,347,350,355,364,369,375,381,386,390,391,401,408,414,419,430,439,447,452,455,458,465,471,477,484,492,498,502,504,511,521,527,536,541,550,553,561,565,573,584,592,602,610,625,639,660,678,689,711,726,748,770,796,825,858,890,920,947,973,1007,1038,1078,1109,1149,1173,1195,1215,1239,1267,1297,1321,1346,1376,1397,1421,1447,1468,1489,1511,1538,1557,1586,1603,1624,1650,1670,1697,1719,1743,1769,1794,1826,1867,1903,1926,1959,1980,2011,2033,2071,2114,2149,2181,2221,2254,2288,2323,2360,2396,2438,2477,2517,2560,2584,2625,2659,2702,2742,2789,2827,2875,2912,2954,2994,3044,3080,3127,3186,3241,3283,3319,3358,3403,3444,3487,3544,3583,3623,3659,3719,3751,3794,3841,3895,3940,4000,4041,4108,4173,4238,4298,4360,4441,4505,4575,4637,4698,4776,4855,4928,4984,5048,5134,5205,5266,5342,5425,5484,5543,5619,5693,5764,5840,5905,5979,6049,6122,6197,6257,6323,6392,6479,6556,6653,6736,6827,6922,7044,7134,7238,7328,7435,7538,7647,7732,7821,7951,8070,8177,8306,8415,8518,8635,8739,8853,8970,9098,9249,9387,9514,9648,9772,9931,10060,10235,10379,10554,10714,10877,11030,11183,11349,11510,11676,11848,12011,12159,12336,12513,12677,12857,13042,13224,13394,13590,13748,13982,14167,14381,14580,14798,15002,15233,15438,15662,15866,16089,16316,16558,16815,17082,17328,17586,17855,18170,18460,18752,19067,19351,19629,19936,20230,20530,20791,21080,21402,21700,21994,22304,22625,22940,23268,23610,23912,24240,24563,24895,25222,25585,25982,26402,26855,27291,27702,28122,28607,29054,29558,30026,30481,31001,31504,32040,32594,33106,33678,34271,34863,35476,36027,36602,37227,37849,38487,39155,39774,40436,41121,41895,42585,43335,44118,44844,45610,46406,47223,48029,48840,49624,50504,51345,52229,53148,54011,54837,55706,56540,57432,58387,59312,60271,61202,62161,63148,64162,65154,66191,67279,68308,69371,70471,71682,72775,73876,75035,76233,77406,78682,79882,81079,82218,83373,84603,85807,86934,88202,89473,90772,92006,93291,94590,95840,97044,98292,99639,101048,102379,103659,104921,106253,107609,108979,110389,111788,113250,114680,116184,117687,119227,120799,122407,123994,125742,127340,129123,130877,132691,134422,136254,138197,140167,142186,144227,146429,148546,150706,153026,155345,157699,160140,162625,165100,167597,170196,172935,175674,178457,181210,184194,187216,190261,193373,196498,199632,202984,206307,209663,212986,216422,219933,223571,227277
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1,1,1,1,1,1,4,5,5,6,7,7,9,10,12,12,12,12,12,12,14,16,16,16,17,17,17,18,22,28,30,32,32,32,33,37,39,43,44,51,53,56,59,61,65,69,73,79,83,85,87,91,98,99,104,109,113,116,118,120,122,126,134,141,144,149,154,161,166,173,180,193,200,206,212,219,227,234,237,243,247,253,260,265,272,276,283,296,302,306,312,321,328,335,338,346,350,356,356,360,365,371,373,376,380,385,390,394,397,401,408,409,414,415,417,421,423,429,436,439,443,452,462,464,469,476,484,486,490,498,509,516,524,534,545,557,567,572,585,602,610,630,642,658,676,695,709,730,751,770,799,814,831,856,884,916,941,969,1002,1028,1051,1080,1112,1143,1167,1204,1243,1277,1316,1346,1383,1433,1464,1503,1536,1571,1605,1650,1699,1734,1766,1808,1843,1883,1940,1986,2047,2089,2153,2215,2277,2327,2384,2437,2506,2577,2641,2720,2808,2868,2952,3013,3092,3172,3262,3359,3436,3525,3606,3704,3817,3893,4004,4090,4199,4294,4392,4516,4636,4761,4883,5012,5153,5277,5417,5552,5686,5807,5944,6085,6218,6358,6495,6636,6794,6961,7121,7285,7481,7666,7834,8013,8185,8376,8555,8767,8986,9210,9412,9622,9828,10063,10300,10563,10795,11024,11278,11545,11831,12129,12430,12730,13068,13413,13727,14049,14391,14743,15078,15412,15762,16137,16507,16925,17294,17734,18102,18530,18949,19428,19888,20358,20782,21260,21748,22254,22775,23302,23905,24500,25085,25711,26389,27027,27681,28347,29063,29761,30471,31231,31960,32677,33373,34157,34993,35797,36590,37395,38272,39188,40096,41014,41984,42942,43894,44816,45792,46762,47713,48744,49809,50879,51995,53097,54222,55429,56609,57884,59154,60449,61800,63161,64534,65971,67401,68868,70405,71859,73392,75000,76579,78239,79938,81692,83491,85278,87108,88982,90980,92994,95017,97182,99303,101502,103697,105955,108208,110623,113056,115602,118144,120796,123490,126206,129000,131749,134650,137476,140492,143516,146614,149822,153166,156508,159963,163537,167231,170861,174667,178625,182596,186629,190637,194859,199023,203412,207799,212131,216592,221165,225792,230254,234960,239802,244584,249553,254494,259501,264590,269837,275090,280449,285894,291347,297002,302565,308281,314101,320153,326200,332608,338974,345391,351989,358753,365580,372294,379146,386308,393401,400640,408132,415407,423051,430992,438999,447027,455174,463274,471473,479905,488211,496720,505575,514365,523351,532521,541754,551138,560566,570188,580043,590127,600111,610363,620811,631454,642265,653163,664388,675675,687016,698548,710341,722150,734300,746413,758781,771270,783869,796595,809444,822442,835571,848812,862342,875732,889662,903566,917623,932004,946623,961508,976429,991471,1006642,1021892,1037454,1052648,1068320,1084200,1100172,1116455,1132789,1149247,1165612,1182326,1199197,1216085,1233114,1250265,1267473,1284973,1302456,1320320,1337913,1355992
1,1,1,1,1,1,1,2,2,4,7,7,7,7,8,8,10,11,11,11,11,12,14,14,15,17,19,21,24,25,29,31,32,37,38,38,39,45,48,52,54,57,60,65,67,71,72,74,81,85,87,90,92,96,97,100,102,103,105,107,111,113,117,119,123,125,127,131,132,136,136,139,149,153,158,165,168,172,178,183,187,191,194,203,215,221,225,232,238,243,252,266,271,284,296,308,312,319,332,338,348,356,362,373,384,391,396,403,411,414,421,431,438,445,455,460,468,477,486,491,495,500,507,519,522,526,537,547,556,562,570,579,589,599,612,615,620,625,631,634,639,647,651,657,666,669,674,680,688,698,702,706,713,720,727,727,730,733,734,736,742,744,750,754,760,764,766,766,769,770,774,776,780,781,781,782,782,784,784,787,791,796,802,807,810,815,820,822,826,837,845,854,860,868,874,879,891,904,915,924,935,946,959,972,985,1001,1015,1026,1043,1068,1083,1090,1109,1119,1132,1146,1167,1177,1199,1220,1232,1242,1255,1273,1287,1300,1311,1317,1337,1357,1372,1391,1401,1415,1425,1440,1447,1462,1472,1480,1500,1516,1530,1540,1556,1566,1578,1591,1606,1618,1628,1637,1658,1669,1683,1694,1705,1713,1726,1732,1741,1756,1766,1779,1795,1801,1815,1830,1848,1865,1876,1891,1908,1916,1929,1945,1959,1972,1985,2002,2019,2043,2058,2078,2093,2124,2144,2166,2179,2203,2224,2243,2264,2282,2304,2322,2338,2361,2384,2411,2431,2458,2479,2512,2553,2573,2606,2639,2672,2721,2762,2811,2873,2930,2986,3059,3118,3190,3263,3337,3413,3515,3621,3725,3848,3992,4123,4260,4404,4539,4658,4780,4909,5046,5184,5293,5418,5533,5649,5780,5904,6028,6134,6247,6353,6451,6563,6658,6781,6906,7045,7157,7258,7377,7523,7704,7849,8033,8215,8382,8589,8743,8936,9157,9358,9573,9757,9962,10172,10390,10621,10829,11030,11233,11436,11660,11853,12105,12378,12597,12853,13087,13362,13602,13854,14122,14365,14632,14910,15186,15481,15780,16082,16374,16694,17024,17331,17648,17963,18269,18598,18924,19252,19598,19965,20335,20762,21145,21529,21919,22329,22710,23143,23591,24024,24470,24916,25404,25913,26379,26890,27362,27819,28317,28777,29278,29793,30295,30777,31278,31741,32255,32788,33290,33788,34311,34812,35357,35868,36394,36939,37475,37980,38540,39059,39625,40237,40830,41399,41999,42585,43183,43726,44366,44971,45564,46174,46800,47450,48087,48718,49356,50013,50677,51366,52039,52746,53416,54154,54924,55687,56467,57204,58000,58838,59663,60478,61358,62283,63204,64182,65194,66260,67365,68461,69548,70670,71915,73050,74312,75590,76862,78195,79483,80868,82170,83605
1,1,1,1,3,3,4,5,5,5,6,8,9,10,10,10,10,10,10,11,11,12,13,16,18,21,23,23,25,26,28,28,28,28,32,35,37,40,43,47,51,54,59,64,67,68,71,72,72,75,82,83,84,86,91,95,97,99,102,102,105,108,108,111,115,120,125,127,130,134,137,142,149,151,155,157,161,165,172,185,190,195,199,211,216,225,232,238,249,253,261,269,273,278,283,291,295,298,307,312,317,328,335,348,354,359,366,370,373,377,384,393,401,409,413,421,430,433,442,450,459,474,482,486,493,503,514,528,537,547,557,565,574,578,590,599,610,622,632,642,652,661,672,678,689,697,706,718,728,738,750,756,761,773,780,791,804,820,830,838,847,857,866,879,898,913,923,942,956,967,979,993,1005,1015,1032,1047,1056,1066,1077,1090,1110,1120,1129,1142,1157,1167,1169,1180,1187,1193,1210,1218,1221,1229,1235,1243,1255,1266,1276,1281,1290,1295,1308,1312,1322,1330,1336,1346,1350,1360,1369,1380,1391,1402,1408,1418,1433,1441,1448,1450,1458,1473,1490,1498,1507,1520,1531,1544,1561,1582,1598,1616,1627,1645,1654,1668,1682,1698,1709,1727,1741,1759,1772,1789,1802,1816,1829,1840,1853,1868,1886,1906,1942,1974,1985,2007,2029,2053,2085,2106,2141,2165,2186,2213,2249,2277,2292,2318,2345,2366,2384,2417,2447,2469,2491,2511,2535,2558,2585,2607,2629,2649,2664,2686,2698,2723,2744,2765,2786,2804,2821,2833,2852,2866,2885,2906,2916,2934,2946,2958,2982,2999,3016,3028,3047,3068,3081,3093,3112,3126,3139,3147,3166,3182,3198,3209,3226,3232,3249,3254,3277,3290,3308,3317,3331,3347,3360,3372,3391,3407,3419,3432,3445,3458,3478,3487,3502,3511,3526,3543,3556,3576,3592,3609,3625,3639,3655,3677,3699,3715,3734,3750,3766,3779,3797,3817,3833,3847,3867,3883,3909,3933,3954,3981,4004,4030,4054,4075,4100,4125,4157,4192,4225,4258,4296,4334,4363,4394,4430,4481,4516,4571,4614,4659,4712,4766,4811,4867,4924,4978,5027,5078,5126,5172,5222,5262,5308,5344,5384,5435,5480,5522,5574,5627,5671,5706,5745,5785,5826,5870,5915,5977,6042,6091,6151,6213,6291,6353,6429,6496,6582,6657,6762,6871,6994,7107,7235,7355,7480,7615,7755,7897,8018,8153,8268,8410,8560,8725,8897,9066,9210,9374,9529,9720,9880,10044,10249,10433,10638,10835,11018,11219,11409,11588,11767,11989,12203,12439,12678,12921,13153,13401,13636,13891,14135,14388,14656,14916,15198,15516,15834,16137,16433,16746,17057,17357,17661,18005,18319,18685,19020,19346,19717,20091,20437,20805,21141,21528,21896,22273,22618,23034,23455,23877,24324,24765,25201
1,1,4,4,6,7,7,7,12,13,15,18,21,25,29,34,37,40,43,50,57,60,73,79,84,90,98,99,106,111,122,125,126,129,138,143,144,147,157,161,168,176,180,185,191,202,211,224,230,236,239,250,256,267,285,303,315,332,352,370,382,393,413,427,446,459,485,502,516,536,564,590,605,624,640,676,703,727,747,778,814,845,871,888,919,941,972,1007,1030,1060,1089,1118,1152,1186,1209,1248,1272,1308,1330,1357,1392,1436,1482,1509,1540,1584,1623,1653,1684,1720,1760,1798,1825,1873,1910,1947,1986,2039,2086,2130,2167,2210,2252,2293,2332,2371,2404,2457,2499,2539,2583,2622,2665,2704,2737,2804,2858,2906,2970,3024,3082,3153,3237,3299,3354,3421,3487,3549,3618,3693,3755,3822,3885,3957,4040,4104,4179,4245,4320,4391,4461,4523,4595,4669,4742,4807,4871,4933,4991,5071,5147,5212,5265,5346,5423,5485,5568,5629,5707,5774,5842,5911,5970,6050,6107,6174,6240,6333,6395,6472,6551,6630,6700,6779,6843,6922,6999,7102,7189,7298,7386,7484,7608,7722,7843,7959,8086,8206,8330,8474,8623,8776,8925,9088,9251,9404,9589,9791,9974,10180,10400,10652,10855,11041,11267,11497,11727,11921,12114,12316,12526,12735,12959,13163,13384,13595,13789,14019,14285,14522,14784,15020,15260,15544,15813,16121,16413,16706,17007,17301,17602,17885,18211,18540,18872,19244,19635,20019,20354,20730,21141,21539,21974,22357,22858,23311,23768,24282,24793,25280,25777,26301,26827,27342,27873,28457,29011,29612,30188,30824,31407,32016,32677,33340,34008,34704,35418,36086,36832,37619,38370,39115,39811,40593,41321,42089,42838,43626,44464,45273,46137,47036,48032,49057,49989,50993,51951,52983,54013,55056,56068,57112,58152,59214,60351,61475,62609,63827,65022,66201,67395,68577,69815,71120,72380,73671,74975,76366,77722,79198,80662,82149,83693,85159,86667,88274,89778,91374,92952,94583,96271,98015,99687,101394,103089,104864,106595,108378,110170,111984,113825,115736,117667,119614,121563,123563,125588,127729,129842,132019,134312,136611,138959,141322,143678,146054,148620,151171,153837,156568,159282,162004,164787,167753,170668,173698,176792,179883,182999,186097,189434,192877,196296,199810,203500,207137,210902,214467,218182,222096,225973,229873,233794,237846,241925,246171,250450,254797,259270,263638,268129,272495,277014,281769,286463,291296,296053,301000,305987,311156,316461,321684,327086,332521,338108,343724,349609,355580,361701,367934,374357,380909,387383,393965,400890,407815,414725,421866,429033,436407,443795,451109,458524,466114,473789,481566,489477,497617,505908,514302,522989,531789,540668,549723,558969,568374,577812,587513,597330,607291,617130,627222,637321,647662,658100,668759,679544,690252,701296,712400,723705,735209,746701,758120,769970,782033,794117,806479,818973,831793,844695,857712,870697,883635,896884,910248,923811,937638,951620,965679,979816,994302,1008742,1023317,1038220,1053335,1068464,1083945,1099573,1115307,1131097,1147123,1163639,1180056,1196593,1213556,1230541
1,1,1,1,1,2,3,4,5,5,7,7,10,10,12,14,16,20,22,25,26,27,28,29,33,39,42,50,55,57,63,67,70,73,74,75,77,80,83,85,87,91,95,96,99,103,105,107,112,114,120,126,129,131,134,139,146,148,150,158,161,163,169,173,177,177,180,185,190,193,196,204,204,205,207,212,215,220,225,229,232,238,241,245,250,256,260,263,272,281,290,295,299,304,307,313,318,323,327,332,340,345,351,355,360,367,375,378,385,390,396,399,409,414,423,429,435,440,450,459,464,475,481,489,497,503,505,516,529,536,546,555,561,573,589,598,611,623,636,646,652,665,677,694,710,723,741,756,774,786,803,812,826,846,863,880,902,919,932,948,964,979,992,1009,1030,1041,1061,1075,1089,1115,1133,1153,1169,1190,1205,1223,1242,1264,1285,1302,1324,1344,1362,1375,1401,1416,1445,1459,1478,1495,1518,1540,1564,1594,1623,1650,1673,1703,1730,1763,1797,1821,1853,1890,1928,1972,2008,2054,2108,2145,2172,2210,2246,2296,2344,2383,2441,2503,2553,2617,2679,2736,2803,2885,2957,3020,3086,3173,3264,3343,3425,3512,3602,3705,3801,3903,3981,4098,4220,4321,4434,4549,4656,4767,4873,5017,5123,5255,5399,5536,5674,5801,5947,6087,6239,6409,6573,6730,6868,7024,7197,7352,7506,7667,7812,7982,8156,8340,8519,8699,8883,9088,9279,9457,9647,9866,10076,10258,10492,10745,10980,11217,11437,11676,11938,12213,12507,12780,13038,13326,13617,13939,14239,14557,14856,15191,15520,15845,16191,16546,16886,17306,17709,18078,18477,18892,19296,19744,20232,20728,21253,21778,22378,22935,23544,24110,24731,25418,26092,26808,27567,28313,29100,29842,30590,31455,32292,33160,34017,34945,35809,36777,37722,38654,39657,40625,41619,42602,43666,44716,45747,46869,48002,49196,50395,51583,52761,53927,55116,56385,57716,59039,60364,61610,62951,64258,65608,66921,68211,69569,70936,72351,73741,75211,76617,78083,79520,80952,82510,84051,85591,87218,88865,90513,92167,93946,95669,97448,99331,101100,102964,104794,106660,108653,110616,112672,114742,116897,118947,121181,123415,125666,127950,130295,132681,135136,137587,140142,142789,145499,148234,151107,153976,157020,160140,163221,166340,169521,172828,176224,179610,183093,186562,190127,193733,197409,201210,205011,208823,212726,216685,220686,224760,228993,233369,237790,242278,246842,251485,256231,261280,266410,271511,276719,281993,287545,293067,298760,304579,310580,316594,322738,328870,335252,341651,348163,354708,361422,368391,375273,382330,389437,396615,403762,411203,418548,426085,433856,441696,449446,457514,465624,473803,482117,490428,499189,507878,516643,525655,534884,543966,553414,562831,572293,581888,591775,601560,611712,621857,632164,642599,653093,663780,674626,685343,696194,707506,718888,730586,742415,754353,766514,778774,791232,803893,816858,829629
1,1,1,1,1,5,5,9,12,14,19,23,29,30,33,37,44,50,57,65,72,77,82,88,92,97,105,109,113,120,126,129,133,140,145,151,157,163,170,175,180,185,189,193,200,204,211,214,221,235,241,244,250,253,258,267,272,282,287,295,304,309,317,320,326,333,338,345,354,355,364,371,376,383,393,402,407,418,422,428,431,435,444,454,468,476,487,495,505,517,528,538,550,568,588,599,615,625,639,648,664,681,699,716,737,754,775,800,823,834,859,881,903,923,942,963,981,1007,1034,1050,1075,1098,1118,1141,1157,1170,1195,1219,1238,1260,1281,1313,1344,1375,1403,1436,1462,1491,1526,1561,1597,1622,1660,1700,1726,1758,1793,1842,1879,1918,1961,1995,2024,2058,2092,2133,2168,2204,2250,2288,2337,2384,2421,2465,2500,2532,2566,2608,2649,2687,2721,2773,2827,2875,2913,2958,3002,3046,3091,3154,3195,3246,3294,3362,3430,3486,3563,3644,3718,3786,3851,3919,4001,4076,4153,4237,4322,4396,4460,4535,4620,4700,4776,4861,4935,5000,5070,5138,5202,5278,5346,5430,5512,5590,5658,5734,5818,5899,5994,6085,6170,6276,6368,6454,6561,6659,6737,6833,6937,7032,7127,7233,7326,7404,7498,7602,7685,7769,7859,7941,8027,8112,8192,8275,8357,8441,8521,8618,8706,8795,8900,9004,9098,9188,9301,9405,9522,9642,9749,9879,9978,10114,10252,10388,10525,10651,10815,10975,11130,11266,11418,11579,11722,11896,12050,12244,12455,12632,12845,13036,13282,13494,13715,13958,14218,14458,14696,14899,15121,15344,15558,15771,16023,16285,16541,16781,17017,17272,17536,17786,18074,18338,18661,18948,19287,19620,19960,20287,20647,20978,21376,21771,22189,22555,22972,23390,23810,24231,24678,25106,25537,25997,26451,26920,27388,27841,28308,28822,29322,29830,30311,30821,31332,31849,32341,32865,33405,33912,34497,35105,35646,36185,36774,37296,37871,38455,39051,39600,40183,40822,41407,42040,42641,43329,44002,44698,45390,46078,46774,47542,48260,49015,49752,50529,51365,52133,52984,53838,54728,55672,56589,57593,58631,59634,60638,61680,62726,63845,64982,66112,67367,68635,69936,71232,72624,73950,75381,76815,78269,79786,81290,82795,84327,85803,87370,88997,90582,92280,93872,95614,97408,99149,100952,102786,104644,106507,108422,110381,112386,114399,116474,118685,120855,123030,125296,127545,129806,132025,134432,136933,139337,141896,144489,147047,149660,152356,155150,157979,160808,163787,166831,170087,173228,176423,179701,182949,186284,189626,193095,196686,200202,203883,207652,211453,215266,219185,223191,227293,231394,235545,239733,244091,248408,252916,257410,261928,266674,271245,275831,280680,285617,290523,295395,300466,305642,310708,315935,321134,326573,332043,337562,343139,348953,354817,360749,366727,372708,378905,385300,391777,398380,404909,411778,418651,425534,432612,439724,447177,454642,462080,469639,477418,485331,493372,501342,509746,518316
1,1,2,4,5,6,9,11,12,14,14,15,15,16,18,21,23,23,24,26,33,35,42,50,55,56,65,69,71,80,81,89,92,99,102,109,112,116,121,125,127,132,136,137,139,143,145,150,151,153,154,155,159,162,164,168,170,173,179,185,187,191,193,194,198,200,206,212,216,223,229,232,237,245,250,253,259,264,266,270,280,284,290,300,307,316,322,331,335,343,353,360,374,384,394,407,421,436,454,472,489,513,532,557,576,596,616,629,650,670,687,704,726,745,771,794,819,840,868,898,920,942,966,991,1013,1034,1051,1071,1089,1109,1129,1138,1154,1182,1208,1231,1262,1290,1317,1344,1373,1404,1444,1487,1528,1557,1590,1619,1659,1701,1730,1766,1811,1849,1887,1926,1964,1988,2018,2052,2079,2123,2168,2190,2222,2272,2323,2373,2417,2478,2537,2628,2695,2807,2920,3028,3169,3297,3441,3590,3707,3832,3960,4084,4197,4330,4461,4596,4718,4862,4984,5125,5269,5408,5555,5740,5922,6114,6287,6475,6674,6867,7081,7270,7456,7633,7793,7933,8108,8272,8432,8568,8715,8860,8996,9137,9258,9375,9461,9567,9684,9811,9922,10026,10144,10231,10339,10435,10530,10624,10724,10822,10916,11018,11120,11215,11308,11392,11478,11566,11653,11746,11825,11918,11999,12098,12196,12307,12427,12546,12655,12775,12895,13003,13131,13280,13411,13558,13723,13910,14087,14252,14429,14613,14792,14981,15159,15334,15513,15695,15895,16088,16286,16466,16691,16872,17064,17253,17445,17645,17834,18063,18253,18465,18689,18913,19152,19396,19646,19901,20193,20463,20711,20991,21268,21553,21858,22132,22417,22727,23008,23273,23527,23833,24111,24426,24752,24996,25302,25602,25879,26178,26491,26797,27069,27373,27672,27995,28313,28620,28959,29274,29613,29952,30321,30676,31038,31383,31748,32126,32535,32953,33393,33817,34228,34676,35128,35603,36078,36504,36945,37398,37908,38379,38832,39319,39838,40381,40876,41358,41850,42322,42836,43377,43897,44459,45018,45643,46268,46881,47511,48167,48863,49562,50266,50955,51672,52396,53178,53944,54732,55516,56300,57077,57891,58692,59555,60368,61175,62023,62843,63719,64595,65515,66460,67366,68282,69263,70304,71304,72347,73400,74451,75595,76682,77739,78856,80032,81190,82459,83732,85027,86345,87684,88993,90318,91747,93215,94737,96307,97922,99607,101330,103055,104734,106481,108233,109997,111734,113558,115451,117301,119291,121232,123208,125328,127582,129763,132071,134382,136827,139359,141868,144347,146977,149750,152579,155412,158337,161261,164290,167399,170585,173736,176902,180277,183768,187445,191009,194735,198441,202221,205959,209778,213845,217947,222033,226237,230422,234701,239066,243460,248082,252673,257276,261943,266779,271682,276637,281675,286731,292079,297304,302716,308155,313789,319509,325384,331243,337278,343314,349531,355815,362271,368876,375635,382479,389409,396519,403644,410817,418036,425546,433012,440389,447901,455487
1,1,2,4,4,4,4,6,12,14,14,15,16,16,18,18,18,20,21,25,28,30,31,32,34,36,39,42,45,48,48,50,50,52,55,57,60,65,70,77,79,82,84,87,97,101,110,116,119,127,132,139,148,156,161,169,175,189,197,208,221,232,241,248,258,268,282,290,303,313,327,339,349,358,365,379,394,407,421,429,438,447,460,471,487,498,509,527,537,550,561,571,589,606,617,638,655,666,686,694,701,717,730,747,768,787,808,829,842,861,878,892,912,937,961,981,1001,1024,1043,1058,1077,1098,1122,1141,1171,1203,1227,1256,1279,1297,1320,1339,1356,1384,1406,1420,1440,1457,1474,1502,1519,1546,1572,1604,1630,1654,1671,1695,1721,1742,1767,1792,1814,1845,1880,1910,1933,1963,1994,2015,2044,2063,2096,2125,2148,2171,2201,2225,2251,2274,2300,2327,2357,2384,2425,2472,2519,2570,2615,2663,2719,2768,2838,2901,2979,3053,3119,3190,3268,3332,3413,3487,3581,3667,3753,3832,3921,3999,4079,4163,4239,4316,4380,4452,4528,4601,4673,4753,4828,4898,4978,5043,5120,5205,5297,5396,5504,5598,5703,5840,5972,6107,6222,6347,6470,6645,6826,7025,7236,7421,7607,7805,8025,8230,8453,8680,8894,9102,9316,9518,9727,9973,10215,10448,10703,10997,11284,11558,11848,12167,12491,12766,13098,13417,13718,14018,14329,14704,15079,15447,15852,16250,16631,17044,17441,17830,18245,18670,19090,19531,19930,20356,20777,21204,21662,22073,22529,23020,23458,23913,24378,24851,25357,25871,26374,26915,27503,28038,28632,29219,29816,30426,31046,31682,32357,33044,33691,34413,35090,35818,36551,37281,38058,38820,39645,40515,41351,42225,43131,44001,44929,45846,46783,47714,48747,49788,50819,51894,52980,54083,55292,56378,57605,58838,60133,61451,62821,64167,65469,66809,68227,69586,70974,72355,73792,75182,76626,78164,79648,81173,82669,84188,85737,87408,89023,90751,92573,94346,96220,98175,100018,101958,103947,105973,108083,110184,112250,114460,116680,118938,121262,123535,125877,128264,130750,133235,135805,138409,141104,143791,146538,149321,152225,155141,158091,161098,164097,167172,170347,173575,176872,180127,183543,186956,190443,193946,197577,201227,205015,208824,212828,216762,220655,224577,228733,232816,237003,241286,245696,250016,254399,258862,263349,267964,272713,277488,282333,287173,292113,297093,302213,307255,312431,317695,323041,328429,333857,339525,345146,350737,356460,362425,368443,374458,380589,386618,392949,399403,405960,412519,419314,426313,433449,440833,448302,456029,463586,471451,479238,487423,495593,503898,512141,520257,528681,537240,545916,554540,563462,572318,581153,590139,599353,608647,617901,627320,636895,646629,656541,666499,676495,686517,696860,707356,718037,728731,739659,750474,761487,772584,783771,795009,806446,817912,829481,841209,853034,864974,877335,889610,901958,914661,927425,940389,953408,966492,979764,993239,1006827,1020605,1034780,1049033,1063461,1078113,1092916,1107919,1123195
1,1,1,1,1,2,4,6,8,8,9,9,9,10,10,10,12,19,25,25,29,32,33,33,34,35,39,44,46,50,52,54,55,56,57,60,61,62,62,65,65,68,68,69,72,73,74,78,80,81,85,87,90,93,96,99,101,102,103,107,116,118,127,137,146,151,152,159,168,179,186,195,212,227,242,251,263,272,291,302,322,333,345,356,365,384,396,404,422,430,436,443,452,461,466,473,476,482,488,494,506,514,523,529,534,539,546,550,555,564,571,584,590,595,601,607,618,632,646,661,681,693,711,719,743,768,796,830,853,881,918,946,982,1027,1055,1091,1121,1153,1181,1217,1252,1296,1342,1386,1425,1469,1526,1580,1620,1666,1723,1765,1815,1869,1917,1965,2033,2079,2133,2195,2269,2334,2413,2463,2512,2596,2672,2742,2825,2902,2988,3077,3179,3267,3363,3448,3540,3652,3773,3882,3988,4106,4216,4310,4427,4546,4643,4767,4896,5034,5171,5310,5478,5642,5792,5966,6135,6313,6512,6716,6909,7120,7348,7572,7802,8026,8241,8452,8684,8925,9158,9409,9631,9868,10113,10343,10579,10832,11053,11295,11519,11752,12026,12287,12529,12794,13067,13348,13622,13887,14156,14424,14714,15003,15257,15534,15797,16120,16413,16711,17052,17427,17755,18084,18391,18725,19095,19490,19875,20253,20664,21087,21523,21959,22401,22850,23330,23836,24357,24912,25450,26010,26588,27175,27730,28309,28906,29495,30117,30712,31310,31928,32609,33241,33898,34623,35377,36080,36768,37460,38156,38887,39674,40459,41305,42135,43056,43957,44909,45931,46925,47922,48964,50084,51169,52338,53456,54519,55695,56892,58058,59300,60495,61775,63038,64318,65625,66874,68222,69641,71014,72432,73895,75357,76871,78390,79940,81437,83083,84631,86118,87721,89373,91048,92728,94431,96203,97984,99829,101590,103458,105264,107077,108975,110984,112825,114800,116792,118890,120898,123051,125174,127389,129552,131852,134148,136373,138849,141276,143691,146273,148890,151480,154114,156751,159493,162167,164962,167722,170612,173627,176698,179714,182860,185997,189151,192384,195685,198985,202377,205727,209336,212927,216456,220174,223982,227906,231778,235820,239906,243987,248349,252628,257069,261594,266344,271142,276084,281029,286086,291232,296509,301755,307002,312411,318007,323627,329407,335236,341016,346989,352876,359025,365274,371508,377909,384177,390649,397350,404075,410822,417742,424657,431747,438845,446178,453595,460981,468368,475883,483528,491364,499354,507473,515670,524132,532707,541240,549880,558777,567691,576941,586268,595879,605333,615098,625129,635208,645314,655607,666133,677010,687988,699034,710413,721912,733395,745169,757093,769128,781278,793312,805645,818077,830710,843363,856138,869218,882512,896028,909678,923436,937171,951252,965556,979893,994393,1009057,1023948,1039250,1054524,1070007,1085718,1101640,1117707,1133966,1150360,1167043,1183890,1200738,1217909,1235354,1252632,1270256,1288024,1306014,1324229,1342618,1360989,1379662,1398334,1417256,1436462,1455575,1474962,1494103,1513482
1,1,1,1,1,1,1,1,2,2,2,3,3,5,5,5,7,8,9,10,12,12,13,13,13,17,20,24,25,25,26,30,34,37,38,41,50,52,55,58,62,63,68,70,72,78,85,93,96,103,105,113,116,119,125,129,133,139,142,148,151,159,164,167,169,174,178,183,189,190,196,198,209,216,230,233,238,247,254,265,278,287,297,316,335,347,361,382,400,419,435,453,466,479,505,528,547,562,583,598,621,645,665,687,716,742,765,790,815,837,868,900,924,952,981,1002,1027,1055,1088,1120,1168,1194,1227,1255,1267,1294,1319,1340,1370,1397,1426,1450,1486,1512,1543,1566,1601,1625,1658,1687,1718,1750,1783,1809,1834,1859,1881,1917,1957,1997,2040,2074,2126,2181,2237,2285,2338,2402,2449,2517,2575,2624,2681,2738,2792,2853,2911,2978,3065,3130,3199,3262,3329,3398,3458,3517,3590,3646,3711,3780,3848,3909,3974,4045,4124,4197,4277,4374,4462,4548,4658,4746,4854,4936,5031,5134,5223,5327,5431,5541,5640,5751,5847,5960,6086,6205,6333,6452,6576,6700,6813,6933,7064,7184,7316,7433,7562,7721,7838,7970,8106,8264,8382,8518,8650,8788,8902,9049,9151,9295,9422,9551,9700,9829,9962,10090,10223,10367,10507,10630,10742,10876,11006,11142,11270,11420,11568,11705,11837,11978,12140,12273,12455,12607,12767,12907,13095,13274,13437,13662,13833,14025,14207,14427,14633,14834,15024,15223,15447,15644,15859,16094,16354,16588,16879,17141,17405,17676,17944,18193,18484,18748,19031,19276,19563,19865,20171,20497,20835,21164,21458,21755,22103,22422,22769,23088,23432,23831,24183,24602,25030,25430,25858,26297,26701,27156,27585,28050,28533,29008,29515,30030,30565,31090,31614,32159,32769,33358,33976,34602,35278,35900,36558,37238,37916,38579,39228,39918,40602,41318,42029,42767,43478,44281,45085,45972,46821,47770,48721,49628,50664,51706,52760,53843,54906,56002,57119,58324,59497,60639,61842,63014,64250,65503,66737,68061,69412,70777,72147,73539,74895,76313,77818,79300,80799,82280,83783,85342,86834,88362,90007,91705,93311,95086,96842,98692,100539,102341,104260,106247,108346,110443,112438,114511,116695,118867,121187,123484,125767,128107,130523,132934,135351,137912,140446,143096,145749,148487,151202,153902,156661,159517,162299,165220,168113,171165,174176,177317,180497,183682,186942,190357,193709,197187,200716,204250,207860,211453,215146,218847,222605,226401,230254,234179,238240,242359,246420,250574,254931,259445,263936,268488,273184,277859,282753,287701,292748,297713,302659,307897,313068,318393,323714,329168,334701,340255,345885,351699,357554,363611,369903,376271,382737,389076,395782,402458,409398,416301,423416,430855,438153,445595,453037,460781,468605,476469,484688,492916,501097,509523,518129,526725,535300,544082,552987,561895,570848,580018,589330,598702,608072,617596,627269,636855,646720,656763,666866,677080,687308,697680,708352,718835,729508,740224,751409,762656,774157
1,1,4,4,4,6,6,7,7,9,9,11,12,16,17,17,18,18,21,22,23,25,28,31,34,34,37,42,48,52,53,56,58,65,73,75,80,90,94,96,99,103,107,110,120,123,128,130,136,141,143,149,154,159,162,164,169,169,175,176,178,182,184,187,190,192,194,196,198,199,201,202,203,205,208,209,209,211,211,211,215,218,222,223,225,230,233,235,237,238,242,243,245,247,251,252,258,267,275,278,282,284,288,291,295,300,304,311,315,321,324,330,337,345,351,356,365,372,385,397,406,412,422,437,451,464,483,508,533,559,584,625,662,698,743,793,853,922,976,1052,1125,1185,1263,1361,1454,1538,1612,1684,1761,1837,1918,1993,2098,2173,2284,2387,2481,2579,2701,2816,2942,3061,3180,3272,3380,3492,3607,3704,3805,3911,4021,4129,4241,4337,4452,4531,4639,4744,4844,4974,5077,5189,5298,5426,5568,5690,5833,5975,6145,6315,6506,6719,6915,7131,7374,7594,7829,8096,8309,8567,8812,9059,9292,9561,9818,10124,10404,10719,10992,11265,11566,11933,12314,12631,13004,13481,13915,14374,14847,15348,15912,16499,17058,17632,18188,18804,19424,20029,20623,21194,21787,22349,22975,23558,24110,24697,25272,25862,26451,26997,27588,28191,28761,29352,29917,30462,31066,31720,32340,32970,33619,34302,35045,35719,36458,37207,37900,38738,39528,40313,41156,42039,42929,43822,44721,45640,46569,47497,48494,49574,50596,51595,52710,53824,54987,56131,57310,58499,59724,60952,62168,63469,64833,66173,67558,68871,70256,71708,73143,74550,76003,77485,78930,80472,81949,83536,85045,86608,88201,89789,91405,93090,94814,96629,98483,100401,102368,104301,106229,108188,110190,112312,114401,116520,118706,120895,123158,125433,127711,130055,132501,134928,137473,139918,142471,145064,147780,150513,153367,156326,159447,162542,165741,168959,172352,175681,179039,182515,186095,189785,193579,197316,201209,205208,209347,213629,217817,222071,226465,230873,235238,239842,244563,249322,254177,259102,264071,269092,274245,279461,284747,290199,295817,301568,307374,313410,319392,325443,331727,338157,344664,351467,358342,365346,372302,379508,386731,394064,401484,409255,416950,424790,432870,440894,449167,457368,465983,474653,483629,492532,501739,511046,520484,530216,540055,549837,559951,570303,580684,591010,601747,612348,623217,634245,645350,656597,667993,679576,691451,703177,715019,726966,739138,751318,763715,776446,789077,801789,814769,828123,841226,854505,868062,881419,895074,908741,922606,936922,951381,965869,980489,995269,1010642,1026022,1041184,1056621,1072198,1087642,1103485,1119506,1135620,1151933,1168347,1185104,1201702,1218709,1235989,1253131,1270215,1287398,1304882,1322765,1340450,1358576,1376414,1394703,1412982,1431219,1449597,1468278,1486865,1505615,1524613,1543813,1562816,1581992,1601656,1621309,1641148,1661029,1681106,1701283,1721341,1741664,1762230,1782682,1803562,1824302,1845344,1866306,1887435,1908826,1930066,1951505,1972613,1994154,2015662,2037394,2059067,2081021,2102968,2125014,2147153,2169404,2191854,2214786,2237625
1,1,1,1,2,3,4,5,6,6,8,11,12,12,12,13,14,14,14,14,17,18,20,20,22,23,27,27,27,28,30,31,33,37,43,47,51,53,54,58,60,67,69,73,75,80,85,90,94,97,103,108,114,118,120,125,131,137,146,152,158,162,166,171,176,185,190,198,201,207,213,216,222,226,226,230,235,243,247,254,258,267,272,282,286,292,302,313,319,322,329,334,342,347,354,359,371,380,387,395,405,414,419,428,439,455,467,490,504,522,544,574,593,619,648,676,702,731,756,789,820,850,878,921,952,984,1019,1053,1089,1124,1153,1191,1223,1258,1299,1349,1392,1457,1509,1565,1641,1738,1826,1945,2066,2190,2308,2436,2558,2689,2824,2967,3113,3270,3411,3565,3742,3887,4064,4241,4452,4644,4874,5113,5341,5613,5858,6062,6278,6507,6739,6966,7189,7415,7629,7846,8090,8324,8568,8851,9106,9391,9660,9899,10182,10477,10816,11144,11451,11805,12148,12504,12861,13202,13551,13955,14294,14656,15021,15379,15744,16098,16466,16866,17254,17662,18092,18504,18962,19380,19835,20288,20746,21172,21613,22073,22606,23105,23635,24144,24688,25215,25720,26256,26766,27331,27907,28473,29058,29660,30278,30908,31495,32113,32768,33436,34109,34796,35468,36150,36881,37574,38344,39138,39949,40786,41714,42526,43407,44307,45280,46303,47232,48234,49365,50461,51519,52713,53897,55124,56394,57606,58867,60283,61662,63076,64501,65842,67252,68724,70147,71519,73022,74537,76070,77662,79244,80823,82494,84078,85835,87611,89358,91175,93041,95016,96900,98929,100981,103072,105219,107306,109446,111650,113876,116110,118476,120777,123061,125451,127908,130292,132775,135322,137756,140220,142847,145346,147928,150687,153397,156083,158768,161563,164459,167324,170216,173143,176021,179067,182165,185153,188356,191525,194722,198085,201472,204861,208382,211952,215370,218975,222640,226567,230428,234386,238434,242480,246740,250984,255267,259747,264149,268781,273194,277790,282391,287231,292098,297087,302295,307359,312713,318016,323508,329000,334558,340213,345841,351790,357820,363920,370301,376589,383119,389696,396506,403430,410399,417436,424777,432075,439726,447371,455097,463014,471038,479401,487777,496296,504995,513765,522548,531595,540760,550087,559633,569301,579009,588881,598857,608873,619128,629517,640001,650511,661365,672333,683538,694639,706034,717716,729286,740933,752795,764656,776884,789060,801334,814094,826629,839348,852299,865618,878863,892451,905867,919558,933352,947478,961599,975998,990471,1005126,1019860,1034521,1049596,1064818,1080100,1095666,1111328,1127380,1143630,1159937,1176375,1192932,1209637,1226575,1243773,1261444,1278943,1296620,1314704,1332767,1351266,1369684,1388079,1406845,1425981,1445043,1464352,1484034,1504052,1524551,1544494,1564988,1585597,1606155,1626747,1647759,1668928,1690204,1712191,1734184,1756206,1778314,1800464,1822813,1845315,1867915,1890803,1913761,1936598,1959606,1982762,2005983,2029456,2052912,2076316,2099804,2123378,2147084,2170800,2194935,2219102,2243142,2267016,2291436,2315666,2340100,2364539,2388934,2413513,2437948,2462806,2487733,2512829
1,1,1,1,1,2,5,8,10,13,15,16,17,23,25,32,34,38,42,47,54,61,66,70,75,90,94,106,114,119,124,135,142,148,156,169,180,183,194,202,212,217,224,231,238,241,250,261,270,278,281,285,293,303,312,318,327,332,340,350,357,370,380,389,394,397,403,416,421,429,439,454,464,471,481,485,493,503,511,519,522,532,539,546,552,564,574,581,592,596,602,610,619,625,630,636,641,646,651,654,665,674,678,684,689,692,695,702,715,722,735,743,752,757,762,779,790,799,806,819,832,837,844,851,861,874,885,892,899,908,915,921,936,949,953,958,968,974,983,993,997,1006,1014,1022,1032,1038,1047,1059,1068,1083,1096,1112,1132,1144,1160,1175,1187,1196,1212,1230,1251,1262,1278,1295,1304,1320,1333,1348,1365,1381,1398,1416,1442,1456,1476,1496,1516,1534,1546,1567,1583,1596,1618,1634,1653,1680,1688,1703,1716,1732,1744,1755,1773,1782,1798,1821,1841,1852,1875,1892,1903,1927,1949,1967,1983,2003,2028,2048,2073,2096,2118,2135,2160,2177,2198,2214,2227,2248,2264,2275,2294,2308,2323,2345,2361,2371,2382,2398,2416,2429,2443,2458,2474,2493,2513,2528,2550,2575,2595,2615,2642,2671,2702,2727,2756,2789,2825,2867,2901,2944,2981,3024,3066,3114,3149,3193,3233,3275,3300,3350,3380,3421,3457,3487,3523,3562,3593,3633,3677,3709,3743,3769,3794,3813,3827,3845,3876,3901,3936,3960,3980,4002,4030,4052,4068,4096,4122,4150,4176,4197,4219,4234,4263,4291,4315,4327,4338,4366,4396,4423,4438,4464,4492,4526,4551,4574,4593,4620,4654,4685,4723,4756,4784,4822,4844,4871,4905,4945,4979,5018,5063,5108,5153,5198,5240,5291,5336,5382,5431,5485,5529,5581,5633,5688,5739,5797,5864,5916,5974,6032,6090,6142,6198,6266,6327,6393,6457,6519,6604,6661,6723,6795,6852,6916,6981,7037,7110,7188,7256,7327,7403,7489,7577,7693,7795,7897,8002,8114,8226,8329,8427,8538,8642,8749,8862,8975,9102,9235,9360,9509,9646,9769,9898,10039,10173,10317,10448,10595,10730,10872,11024,11176,11346,11516,11681,11851,12002,12164,12346,12507,12689,12892,13089,13279,13470,13665,13871,14092,14352,14610,14860,15137,15412,15684,15986,16278,16607,16938,17282,17595,17997,18371,18753,19169,19572,19988,20477,20947,21419,21912,22369,22860,23345,23882,24385,24925,25457,25992,26559,27162,27776,28399,28991,29579,30243,30945,31652,32398,33141,33866,34678,35486,36281,37158,38027,38899,39816,40706,41616,42550,43498,44443,45500,46514,47624,48720,49774,50827,51938,53045,54174,55345,56591,57812,59019,60363,61707,63039,64472,65879,67343,68848,70386,71909,73442,75058,76593,78226,79869,81605,83320,85065,86855,88654,90478,92435,94439
1,1,1,1,2,2,2,3,3,6,7,8,8,8,8,9,10,11,12,13,16,17,17,18,18,21,21,22,24,24,24,28,30,32,36,40,44,50,55,58,68,73,77,81,83,93,99,111,123,125,130,138,146,148,156,163,166,180,185,191,200,209,213,219,227,236,241,246,255,266,276,282,295,305,313,327,340,353,364,380,389,401,414,427,440,449,471,490,501,514,532,541,548,564,574,590,602,617,635,650,657,673,692,699,716,736,750,779,789,803,818,834,841,850,863,879,893,911,928,940,962,980,1001,1015,1036,1054,1073,1083,1103,1118,1137,1156,1173,1193,1217,1228,1243,1266,1287,1298,1312,1326,1339,1357,1369,1385,1401,1418,1439,1457,1475,1495,1508,1521,1533,1552,1572,1598,1612,1639,1670,1705,1737,1770,1804,1859,1916,1981,2047,2109,2191,2282,2384,2478,2580,2680,2787,2905,3010,3116,3226,3327,3430,3520,3592,3673,3749,3836,3925,4014,4107,4167,4254,4332,4405,4474,4544,4622,4702,4765,4847,4917,4970,5036,5087,5140,5193,5246,5296,5338,5404,5454,5514,5550,5600,5644,5697,5745,5787,5848,5891,5944,6006,6052,6097,6145,6191,6245,6305,6361,6415,6464,6511,6566,6624,6670,6722,6779,6844,6902,6966,7013,7059,7111,7164,7215,7266,7328,7397,7447,7498,7563,7623,7684,7729,7804,7853,7914,7964,8029,8090,8153,8198,8263,8322,8393,8458,8534,8613,8667,8740,8809,8880,8952,9020,9099,9180,9260,9336,9409,9482,9553,9633,9705,9774,9849,9925,10021,10110,10220,10306,10397,10490,10591,10692,10810,10907,11001,11110,11234,11313,11426,11547,11643,11762,11865,11959,12083,12210,12343,12464,12576,12702,12815,12960,13098,13247,13393,13529,13683,13843,13987,14158,14354,14547,14711,14875,15042,15241,15452,15666,15909,16162,16424,16717,16989,17268,17597,17892,18182,18499,18802,19123,19458,19817,20171,20539,20948,21323,21721,22099,22443,22849,23200,23579,23967,24358,24741,25098,25456,25822,26191,26555,26939,27315,27677,28037,28429,28862,29299,29781,30281,30757,31286,31807,32317,32868,33364,33890,34426,34979,35536,36058,36670,37276,37866,38451,39057,39723,40353,41054,41726,42441,43120,43814,44554,45317,46122,46915,47660,48462,49302,50184,51096,52042,53011,53981,54842,55822,56776,57759,58787,59795,60793,61728,62726,63727,64781,65778,66813,67923,68976,70001,71109,72200,73270,74313,75406,76466,77596,78691,79901,81080,82296,83546,84795,86155,87543,88871,90228,91546,93013,94488,95879,97355,98882,100445,101917,103484,104992,106590,108187,109856,111544,113252,115011,116767,118557,120357,122290,124142,126130,128110,130018,132089,134276,136421,138617,140905,143218,145493,147907,150380,152894,155552,158165,160796,163494,166197,168921,171741,174622,177527,180622,183700,186815,189980,193190,196475,199894,203194,206697,210202,213745,217433,221212,225021
1,1,1,3,3,5,7,11,11,12,12,16,21,26,29,35,39,42,43,44,47,52,56,63,65,68,72,75,79,80,87,90,94,103,113,124,135,142,145,150,164,174,182,189,199,213,224,232,240,247,257,271,281,294,309,320,337,346,364,378,391,407,424,438,456,471,485,499,520,538,555,582,607,627,645,665,694,722,738,772,809,845,896,944,995,1050,1100,1180,1229,1293,1370,1441,1540,1613,1675,1754,1815,1890,1963,2027,2084,2154,2229,2302,2359,2434,2510,2601,2672,2764,2837,2928,3012,3116,3209,3300,3406,3512,3621,3749,3874,4011,4179,4340,4467,4637,4789,4934,5087,5240,5398,5561,5720,5876,6001,6178,6348,6527,6689,6892,7079,7263,7453,7644,7842,8026,8227,8423,8599,8823,9041,9254,9482,9707,9928,10176,10410,10665,10906,11154,11412,11736,12025,12322,12648,12976,13308,13638,13978,14334,14689,15069,15437,15844,16230,16650,17067,17472,17910,18390,18860,19292,19783,20308,20770,21286,21844,22364,22882,23482,24061,24580,25142,25702,26307,26876,27469,28099,28714,29365,30050,30730,31411,32072,32717,33418,34095,34850,35599,36373,37101,37929,38753,39598,40520,41451,42395,43381,44412,45423,46448,47447,48458,49547,50640,51731,52824,53968,55124,56285,57394,58584,59836,61097,62333,63587,64898,66255,67608,68981,70329,71721,73191,74683,76260,77730,79324,80914,82505,84241,86002,87813,89595,91510,93499,95448,97504,99599,101750,103890,106024,108276,110526,112897,115347,117814,120232,122800,125384,128135,130808,133676,136467,139414,142473,145539,148635,151827,154999,158260,161617,165013,168356,171859,175308,178797,182333,185945,189617,193390,197195,201052,205061,209128,213245,217310,221374,225533,229848,234070,238403,242916,247513,252034,256582,261263,266015,270790,275688,280662,285639,290693,295799,301004,306276,311613,317004,322434,328034,333735,339438,345254,351170,357125,363288,369508,375859,382199,388695,395275,402210,409241,416479,423635,430921,438402,445664,453305,460956,468793,476719,484736,492912,501010,509306,517778,526572,535372,544206,553238,562540,571925,581355,590939,600658,610485,620525,630475,640852,651304,661794,672520,683547,694545,705572,716770,728280,739980,751634,763382,775396,787631,799752,812138,824605,837136,850082,863091,876050,889068,902352,915919,929452,943180,957161,971209,985662,999833,1014232,1028922,1043795,1058875,1074023,1089283,1104746,1120542,1136401,1152022,1167832,1184094,1199934,1216341,1233004,1249605,1266659,1283677,1300770,1318194,1335681,1353129,1370963,1388867,1406855,1424853,1443074,1461638,1480301,1498747,1517599,1536555,1555491,1574506,1593946,1613523,1633288,1653311,1673370,1693584,1713867,1734186,1754630,1775187,1795918,1816652,1837644,1858781,1880085,1901123,1922494,1943989,1965896,1987511,2009672,2031637,2053736,2076049,2098782,2121170,2144059,2166853,2189780,2213244,2236598,2259905,2283148,2306776,2330506,2354365,2378395,2402363,2426352,2450577,2475129,2499807,2524626,2549411,2574098,2598900,2623901,2649222,2674651,2699986,2725377,2750618,2776193,2802119,2828077,2854086,2879831,2905982,2932167,2958608,2985107,3011564,3038234,3064990,3092416,3119475,3146829,3174223,3201820,3229394,3257195,3285272,3313302,3341533,3369866
1,1,1,2,3,3,3,4,5,9,12,14,16,18,19,20,23,25,27,35,38,43,49,53,61,63,66,72,76,86,91,95,103,110,122,128,136,143,152,156,159,170,176,185,190,199,204,214,224,228,235,236,244,251,259,263,276,281,286,291,298,303,314,319,328,334,347,355,366,375,380,388,405,418,430,441,455,470,488,501,523,543,558,574,589,616,642,659,681,704,739,758,785,817,835,868,902,936,963,995,1020,1053,1082,1101,1131,1165,1196,1228,1282,1309,1346,1384,1433,1472,1517,1575,1623,1671,1715,1777,1832,1886,1933,1993,2046,2098,2144,2195,2257,2319,2403,2457,2526,2597,2661,2734,2790,2847,2912,2975,3039,3105,3174,3232,3298,3363,3434,3511,3572,3638,3700,3769,3830,3906,3979,4068,4152,4241,4340,4417,4504,4583,4658,4743,4818,4901,4990,5078,5188,5278,5370,5457,5544,5634,5741,5829,5918,6007,6083,6174,6269,6374,6485,6578,6690,6775,6882,6974,7070,7163,7265,7368,7488,7598,7697,7801,7881,7992,8096,8196,8296,8384,8508,8622,8733,8864,8992,9115,9223,9352,9471,9586,9733,9848,9989,10139,10288,10437,10602,10776,10958,11129,11327,11515,11742,11944,12141,12349,12532,12737,12949,13196,13420,13669,13901,14146,14396,14623,14862,15091,15343,15590,15835,16097,16363,16622,16894,17192,17494,17785,18081,18359,18662,18937,19222,19517,19823,20139,20506,20829,21191,21561,21964,22388,22812,23235,23657,24076,24535,24975,25444,25919,26391,26870,27344,27819,28353,28870,29393,29926,30478,31017,31570,32145,32702,33316,33945,34555,35189,35786,36406,37049,37689,38337,39015,39666,40346,41033,41709,42400,43089,43804,44560,45337,46094,46868,47669,48471,49327,50168,51059,51973,52934,53821,54739,55735,56758,57721,58752,59779,60829,61862,62925,64039,65200,66334,67571,68727,70020,71211,72566,73914,75358,76817,78421,79967,81612,83317,84947,86582,88313,90105,91894,93744,95600,97552,99530,101499,103528,105541,107561,109717,111803,114023,116241,118495,120723,123092,125434,127875,130349,132835,135493,138135,140875,143609,146482,149433,152477,155592,158749,162033,165377,168817,172351,175962,179631,183378,187209,191097,195100,199181,203262,207447,211731,216154,220528,225040,229615,234177,238777,243512,248326,253368,258411,263581,268873,274134,279522,285005,290735,296595,302449,308471,314565,320749,327097,333479,340040,346658,353467,360407,367489,374647,381810,389320,396906,404502,412282,420164,427919,435953,444054,452447,460887,469567,478234,486876,495850,504711,513686,522794,532242,541775,551281,560952,570843,580933,591002,601165,611563,622156,632926,643819,654963,666393,677938,689624,701620,713988,726427,738759,751341,764293,777043,790004,803209,816357,829815,843211,856836,870931,885048,899052,913200,927852,942611,957587,972934,988200,1003391,1019100,1034969,1050801,1066953,1083375,1099637,1116298,1133132,1149885,1166794,1183805,1200972,1218191,1235559,1253039,1270696,1288347,1306157,1324245,1342116,1360084,1378179,1396514,1414827,1433179,1451556
1,1,1,1,1,3,4,5,5,6,8,10,11,12,15,17,21,26,29,31,34,38,44,49,54,58,63,71,77,85,91,96,103,107,107,112,119,125,133,133,138,142,145,148,153,156,157,157,160,166,167,170,172,173,173,174,180,181,183,185,189,190,190,192,196,198,200,204,205,208,209,212,217,219,220,221,223,224,228,231,234,239,241,247,247,251,253,255,256,258,259,259,260,262,265,269,269,270,277,280,282,285,287,291,291,297,303,306,310,313,318,322,326,328,336,343,350,353,362,367,370,373,381,384,393,401,409,417,424,433,438,441,444,448,454,468,472,482,491,496,502,512,521,533,542,553,568,582,600,620,641,661,685,704,722,736,753,772,787,807,832,845,859,878,895,914,927,944,959,976,995,1011,1023,1039,1055,1078,1101,1115,1133,1155,1168,1187,1202,1234,1267,1297,1340,1377,1417,1451,1492,1541,1600,1651,1702,1759,1825,1891,1945,2001,2062,2116,2165,2218,2281,2332,2390,2446,2503,2565,2628,2690,2765,2834,2901,2983,3062,3146,3251,3367,3483,3622,3729,3838,3974,4093,4228,4359,4486,4597,4750,4897,5002,5108,5218,5328,5423,5531,5645,5757,5865,5957,6049,6134,6237,6314,6412,6483,6555,6633,6718,6798,6860,6955,7040,7135,7203,7281,7352,7431,7504,7588,7695,7773,7868,7980,8104,8220,8344,8466,8573,8715,8844,8967,9107,9251,9418,9565,9692,9850,9995,10183,10322,10489,10645,10787,10953,11124,11302,11474,11653,11848,12043,12235,12442,12645,12851,13078,13319,13564,13769,13987,14220,14427,14636,14840,15070,15303,15539,15767,15997,16210,16484,16767,17020,17265,17524,17816,18118,18444,18747,19060,19390,19748,20113,20507,20909,21297,21696,22069,22497,22907,23329,23810,24296,24739,25177,25668,26183,26676,27204,27757,28314,28904,29515,30155,30822,31444,32135,32848,33543,34243,34991,35747,36527,37312,38081,38824,39581,40266,40996,41728,42393,43143,43866,44601,45309,46115,46893,47704,48496,49359,50280,51247,52202,53204,54280,55362,56409,57429,58536,59624,60602,61708,62766,63820,64931,66016,67082,68107,69162,70254,71362,72483,73589,74675,75808,76976,78125,79297,80575,81830,83172,84557,85910,87357,88806,90364,91967,93491,95060,96633,98313,99941,101661,103325,105001,106759,108484,110348,112194,114057,115931,117790,119743,121708,123664,125592,127631,129669,131701,133759,135889,138055,140190,142310,144553,146772,149075,151392,153668,155922,158377,160853,163467,166064,168702,171442,174298,177261,180226,183254,186285,189385,192559,195892,199251,202583,206054,209513,213054,216721,220385,224094,227914,231818,235812,239865,244173,248540,253029,257594,262394,267216,272056,277025,282172,287441,292881,298326,303958,309626,315453,321262,327089,333074,339139,345131,351439,357726,364058,370494,376780,383232,390002,396980,403930
1,1,1,2,2,3,5,6,9,11,13,16,18,19,21,22,26,30,32,38,42,47,51,53,58,62,67,68,72,73,74,77,81,86,101,106,108,117,122,128,133,138,144,152,159,161,169,176,188,198,210,219,224,237,244,250,264,276,279,289,298,305,316,327,342,359,373,387,398,404,410,422,431,444,467,485,503,521,551,574,597,635,670,704,755,814,865,923,987,1050,1105,1173,1248,1332,1429,1494,1570,1641,1729,1833,1956,2057,2183,2318,2469,2612,2735,2857,2996,3117,3259,3426,3560,3692,3829,3958,4105,4224,4344,4494,4633,4787,4938,5098,5229,5371,5524,5676,5841,5977,6112,6253,6404,6539,6674,6831,6973,7118,7264,7415,7565,7728,7890,8037,8181,8337,8481,8632,8801,8962,9153,9340,9515,9701,9876,10063,10241,10409,10613,10808,11008,11202,11442,11681,11902,12111,12349,12592,12835,13075,13337,13612,13880,14155,14462,14769,15085,15402,15689,16004,16330,16655,17004,17333,17654,17985,18313,18634,18966,19338,19705,20046,20412,20770,21141,21463,21801,22147,22523,22895,23266,23720,24136,24521,24925,25348,25803,26252,26715,27198,27690,28195,28717,29261,29787,30376,30958,31519,32124,32693,33321,33959,34648,35310,36017,36733,37435,38160,38899,39647,40412,41188,42001,42811,43647,44534,45384,46245,47112,48028,48959,49885,50836,51838,52829,53864,54956,56029,57197,58408,59658,60976,62275,63677,65072,66533,68003,69387,70930,72385,73834,75351,76929,78480,80047,81645,83303,84890,86444,88034,89707,91300,92912,94528,96147,97843,99575,101311,103174,105006,106902,108786,110769,112675,114591,116637,118619,120709,122778,124878,126983,129115,131351,133560,135795,138136,140464,142909,145372,147843,150354,152932,155612,158273,160930,163754,166478,169279,172191,175124,178152,181052,184068,187106,190331,193491,196722,200024,203333,206666,209976,213421,216854,220271,223764,227305,230945,234641,238451,242412,246399,250533,254752,258910,263307,267632,271931,276410,281062,285661,290521,295394,300340,305318,310372,315643,320877,326268,331805,337365,342870,348435,353929,359870,365860,371909,377897,383958,390268,396608,403084,409614,416377,423340,430443,437564,444944,452454,459915,467527,475355,483343,491340,499404,507547,515996,524418,533052,541986,550838,559825,569083,578347,587805,597288,606941,616679,626442,636639,646593,656740,667251,677698,688071,698599,709284,720197,731375,742526,753831,765085,776654,788560,800244,811977,824085,836609,849125,861808,874418,887312,900335,913503,926742,940233,953969,967484,981196,995548,1009666,1024008,1038367,1052873,1067613,1082200,1097288,1112513,1127713,1143056,1158403,1174241,1190300,1206354,1222582,1238729,1255111,1271869,1288109,1304835,1321517,1338439,1355312,1372501,1389731,1407241,1424627,1442135,1459717,1477760,1495825,1513895,1532248,1550681,1569189,1587806,1606515,1625292,1644181,1663420,1682753,1701763,1721083,1740455,1760186,1780199,1800444,1820566,1840937,1861256,1882033,1903051,1924252,1945523,1966880,1988336,2010163,2032295,2054642,2077319,2099594,2122187,2144908,2167849,2191056,2214047,2237141,2260237,2283508,2307046,2330778,2354482,2378344,2402458,2426391,2450917,2475057,2499615
1,1,1,3,3,5,5,6,7,10,10,10,10,10,14,18,19,26,29,31,37,41,45,47,51,54,55,61,64,76,86,88,92,96,104,108,111,113,117,122,128,130,133,137,142,146,152,156,164,171,174,182,186,188,192,194,200,207,209,213,225,234,240,250,257,265,270,280,289,303,314,320,329,340,349,357,368,381,396,409,422,433,443,459,471,488,504,523,541,554,570,588,602,619,636,651,662,676,698,712,721,730,742,762,780,797,821,833,845,869,883,899,918,936,956,970,983,1020,1039,1063,1083,1100,1129,1155,1171,1202,1236,1281,1324,1382,1427,1478,1543,1611,1699,1773,1832,1898,1982,2065,2137,2208,2282,2344,2419,2481,2548,2621,2711,2781,2847,2924,2994,3057,3127,3201,3269,3333,3390,3457,3520,3605,3683,3764,3836,3920,4014,4117,4214,4299,4386,4469,4557,4636,4721,4798,4921,5039,5164,5280,5389,5511,5627,5748,5874,6011,6154,6300,6419,6570,6705,6858,7026,7175,7333,7489,7667,7815,8012,8180,8374,8558,8738,8938,9147,9354,9560,9760,9993,10216,10468,10740,11030,11311,11600,11921,12230,12568,12925,13315,13704,14071,14420,14786,15193,15644,16070,16451,16868,17295,17760,18264,18796,19291,19782,20341,20904,21479,22051,22639,23213,23839,24413,25100,25723,26373,27029,27641,28284,28893,29564,30289,30979,31652,32334,33039,33753,34461,35186,35876,36643,37394,38133,38877,39628,40406,41202,42001,42798,43626,44472,45296,46195,47060,47981,48896,49889,50827,51823,52840,53846,54940,56022,57210,58333,59499,60694,61883,63104,64367,65621,66985,68362,69740,71175,72582,73972,75462,76980,78520,80081,81632,83261,84807,86449,88125,89793,91504,93293,95070,96877,98729,100570,102459,104452,106521,108512,110617,112718,114850,117155,119392,121757,124137,126553,128998,131505,134049,136586,139277,142062,144907,147762,150771,153819,156878,160060,163192,166431,169762,173239,176645,180104,183728,187510,191264,195060,198735,202658,206656,210843,214943,219169,223529,227926,232289,236786,241346,245946,250672,255407,260237,265097,270086,274984,280175,285179,290490,295928,301357,306698,312081,317598,323201,328838,334602,340285,345996,351890,357852,363783,369791,375790,382038,388533,394991,401583,408168,414938,421886,428958,436084,443220,450605,458109,465753,473518,481379,489260,497142,505279,513340,521612,530052,538581,547137,555948,564670,573618,582663,592016,601334,610688,620189,629710,639618,649688,659631,669972,680550,691191,701980,712885,723884,735107,746580,758167,770065,782136,793988,806167,818402,830886,843480,856080,868973,882132,895172,908427,921874,935297,948936,962827,976870,991153,1005376,1020078,1034837,1049571,1064650,1079769,1094980,1110403,1125818,1141587,1157621,1173933,1190284,1206660,1223416,1239955,1256645,1273645,1290967,1308635,1326475,1344155,1362474,1380907,1399339,1417786,1436493,1455642,1474511,1493616,1512877,1532468,1552264,1572174,1592280,1612505,1632772,1653361,1674323,1695139,1716040,1737397,1758928,1780531,1802180,1824176,1846296,1868400,1890518,1913058,1935628,1958198
1,1,1,1,1,1,1,2,3,4,4,4,6,7,7,7,7,7,9,9,11,12,13,16,17,17,18,19,20,23,28,33,36,43,50,55,62,67,70,74,83,92,98,105,113,123,128,135,142,147,154,162,169,179,191,200,205,211,216,224,232,246,252,262,268,279,289,300,304,312,319,326,337,346,355,370,377,389,398,404,417,430,448,458,462,467,482,494,501,508,516,526,535,546,554,566,579,593,604,623,634,649,657,669,677,693,702,712,720,727,741,750,764,781,787,796,807,816,827,838,855,871,881,888,899,919,930,941,952,968,977,983,991,1001,1010,1018,1026,1034,1040,1045,1052,1061,1072,1086,1090,1095,1101,1111,1119,1120,1125,1132,1136,1143,1146,1152,1156,1165,1170,1180,1185,1193,1199,1205,1213,1216,1222,1224,1229,1233,1238,1239,1242,1244,1244,1245,1249,1253,1255,1256,1257,1257,1262,1268,1270,1274,1275,1279,1279,1280,1282,1287,1290,1294,1297,1300,1303,1303,1306,1310,1314,1316,1318,1320,1324,1330,1333,1335,1336,1340,1347,1353,1360,1364,1368,1373,1377,1382,1386,1397,1405,1409,1419,1423,1427,1438,1448,1458,1469,1490,1502,1508,1524,1544,1556,1579,1593,1614,1650,1672,1697,1717,1742,1773,1793,1825,1851,1876,1910,1951,1982,2012,2053,2087,2123,2163,2195,2229,2258,2284,2307,2343,2378,2413,2446,2484,2516,2558,2599,2638,2682,2728,2781,2818,2871,2918,2971,3008,3065,3106,3157,3200,3233,3265,3317,3371,3421,3480,3522,3575,3617,3660,3709,3742,3796,3833,3873,3912,3956,4005,4041,4067,4108,4152,4200,4237,4282,4322,4357,4399,4445,4485,4516,4553,4591,4632,4660,4703,4741,4774,4805,4845,4878,4917,4955,5006,5048,5097,5147,5183,5221,5272,5316,5352,5390,5427,5465,5513,5566,5603,5659,5719,5780,5838,5906,5992,6082,6188,6282,6390,6497,6589,6710,6815,6933,7047,7179,7302,7422,7549,7664,7801,7898,8032,8160,8297,8424,8553,8672,8797,8915,9042,9145,9255,9351,9460,9558,9660,9772,9884,10000,10097,10195,10319,10457,10563,10699,10860,11031,11213,11398,11567,11753,11944,12179,12391,12606,12849,13053,13276,13493,13719,13939,14138,14346,14555,14763,14987,15189,15406,15672,15919,16161,16395,16672,16972,17258,17561,17871,18161,18480,18792,19167,19490,19834,20155,20469,20804,21169,21533,21915,22322,22707,23095,23524,23916,24330,24754,25160,25606,26048,26539,27024,27491,27967,28446,28930,29481,30021,30554,31107,31671,32229,32841,33440,34071,34707,35390,36111,36802,37534,38278,39008,39748,40538,41280,42084,42868,43601,44409,45237,46089,46971,47828,48726,49658,50503,51339,52288,53169,54035,54934,55838,56805,57750,58720,59710,60656,61558,62520,63459,64392,65347,66324,67256,68210,69164
1,1,1,1,1,3,5,8,8,9,10,13,15,16,16,17,19,22,24,26,29,30,35,39,41,44,49,51,55,64,66,69,73,77,82,88,92,95,100,110,116,122,129,135,138,147,160,168,171,182,187,192,200,209,217,224,234,252,257,262,268,274,277,281,289,293,301,303,309,316,324,334,340,353,368,382,389,398,405,414,425,431,438,454,469,483,492,502,517,521,529,537,554,561,567,579,593,608,621,629,642,652,668,687,705,718,731,742,762,769,788,818,837,866,897,927,944,982,1032,1080,1167,1233,1298,1366,1461,1569,1662,1762,1861,1951,2062,2153,2248,2340,2424,2517,2621,2708,2782,2860,2953,3028,3091,3160,3237,3292,3350,3432,3494,3531,3598,3654,3708,3765,3822,3890,3940,3991,4050,4105,4146,4198,4250,4297,4336,4390,4431,4479,4526,4567,4607,4649,4684,4737,4778,4813,4855,4889,4924,4976,5015,5051,5098,5138,5178,5224,5259,5298,5351,5408,5452,5495,5529,5582,5632,5670,5713,5772,5825,5888,5935,5976,6011,6072,6115,6168,6222,6259,6310,6360,6415,6478,6529,6567,6622,6664,6705,6761,6807,6866,6912,6971,7016,7063,7105,7152,7194,7246,7295,7340,7382,7439,7491,7548,7594,7641,7692,7760,7809,7858,7903,7945,8003,8047,8101,8146,8199,8259,8312,8362,8419,8473,8531,8589,8648,8707,8770,8828,8891,8945,9031,9103,9178,9273,9356,9462,9555,9635,9715,9799,9919,10023,10119,10208,10310,10413,10508,10587,10688,10781,10878,10971,11058,11154,11239,11341,11453,11558,11652,11725,11819,11915,11996,12085,12180,12273,12372,12469,12570,12655,12771,12866,12999,13118,13219,13347,13493,13679,13845,14019,14190,14387,14585,14799,15003,15244,15492,15719,15976,16227,16490,16768,17068,17371,17649,17939,18183,18467,18766,19038,19290,19539,19809,20063,20329,20586,20867,21150,21441,21725,22000,22254,22554,22853,23133,23395,23681,23966,24225,24504,24778,25042,25327,25635,25956,26307,26646,26998,27360,27722,28104,28485,28873,29222,29593,29921,30248,30590,30920,31261,31597,31910,32241,32556,32884,33217,33547,33847,34181,34546,34881,35250,35589,35933,36295,36670,37081,37477,37918,38300,38714,39154,39604,40048,40476,40938,41402,41862,42285,42729,43201,43663,44150,44639,45091,45563,46073,46556,47051,47536,48101,48679,49253,49844,50393,50960,51613,52186,52818,53448,54134,54776,55446,56154,56888,57598,58307,59018,59744,60506,61291,62063,62859,63641,64492,65326,66203,67135,68037,69041,70077,71080,72181,73283,74466,75619,76774,78074,79340,80681,82059,83385,84772,86246,87737,89215,90805,92393,93970,95679,97410,99102,100846,102773,104648,106470,108417,110478,112540,114620,116734,118909,121094,123341,125590,128005,130405,132796,135304,137785,140411,142877,145440,148106,150775,153610,156489,159411,162371,165497,168748,172006,175167,178554,182030,185668,189386
1,1,1,1,1,2,6,9,10,12,13,13,13,16,20,21,26,32,37,41,47,51,54,55,59,63,68,71,76,80,88,91,99,104,110,118,120,126,136,142,145,147,157,166,174,179,186,196,202,208,215,224,229,236,246,254,263,275,288,299,309,318,327,338,348,360,365,381,398,411,424,433,442,455,476,484,498,507,515,535,550,562,572,580,591,606,617,629,638,650,665,672,684,696,711,723,731,741,755,765,775,784,791,803,817,833,841,854,860,870,881,889,898,912,927,941,961,975,993,1009,1033,1050,1076,1099,1118,1138,1160,1182,1204,1225,1250,1272,1293,1309,1335,1356,1388,1406,1428,1449,1475,1493,1521,1558,1589,1623,1661,1692,1733,1773,1812,1847,1873,1897,1939,1983,2015,2060,2101,2135,2161,2212,2265,2318,2361,2402,2452,2498,2545,2606,2650,2709,2758,2828,2878,2935,2998,3061,3114,3190,3261,3323,3406,3471,3550,3612,3682,3762,3861,3940,4017,4095,4184,4267,4368,4450,4553,4630,4720,4802,4883,4973,5047,5154,5257,5352,5449,5540,5638,5745,5862,5994,6111,6242,6359,6498,6660,6809,6953,7126,7284,7435,7577,7732,7900,8091,8265,8422,8598,8788,8965,9144,9306,9480,9661,9866,10063,10267,10452,10652,10853,11061,11290,11543,11754,11991,12192,12437,12672,12938,13215,13490,13769,14061,14352,14653,14934,15206,15504,15822,16107,16428,16718,17029,17330,17664,17960,18261,18584,18939,19269,19638,20009,20363,20745,21132,21569,22002,22510,23042,23587,24158,24706,25283,25849,26425,26956,27604,28212,28846,29405,30031,30708,31386,32054,32738,33420,34123,34840,35566,36314,37045,37834,38618,39385,40148,40969,41751,42506,43306,44135,44968,45846,46657,47584,48467,49402,50368,51393,52373,53413,54476,55530,56621,57686,58802,59921,61036,62181,63289,64440,65567,66764,67950,69052,70217,71394,72568,73827,75064,76266,77544,78843,80189,81561,82887,84285,85735,87283,88813,90363,92033,93629,95301,97056,98783,100584,102456,104304,106227,108124,110078,112075,114116,116130,118273,120296,122505,124649,126912,129168,131477,133819,136237,138591,141068,143555,146017,148630,151223,153797,156369,159067,161799,164449,167357,170241,173168,176227,179315,182370,185525,188616,191851,195084,198370,201774,205163,208737,212450,216199,219983,223834,227726,231701,235689,239853,244015,248252,252585,256934,261411,265818,270258,274816,279365,283998,288756,293456,298205,303100,308056,313122,318121,323215,328424,333626,339042,344440,349906,355536,361230,366961,372910,379006,385104,391187,397374,403617,410035,416466,423101,429997,436890,444033,451120,458356,465777,473404,481104,488816,496646,504585,512836,520835,529198,537736,546263,555041,564119,573221,582556,591938,601466,611322,621239,631378,641708,652011,662688,673160,683889,695062,706227,717441,728771,740189,751656,763360,775291,787393,799600,811670,823772,836025,848537,861239,874168,887136,900658,914188,927568,941394,955126,969203,983198,997624
1,1,1,3,3,5,5,6,6,7,8,9,11,13,17,19,21,25,25,26,29,34,39,42,45,48,50,51,53,54,57,59,68,75,80,88,91,99,105,108,109,112,114,117,122,126,130,138,146,152,158,163,168,176,183,187,194,200,209,221,229,233,243,248,257,265,275,285,296,305,312,322,334,343,357,371,386,405,423,433,441,456,468,483,502,520,534,546,563,590,608,637,656,677,691,703,721,736,769,789,823,848,887,925,957,995,1043,1098,1182,1279,1370,1448,1566,1654,1744,1830,1934,2020,2109,2180,2252,2317,2390,2488,2567,2657,2744,2795,2864,2935,3011,3075,3157,3220,3279,3345,3400,3489,3561,3633,3716,3776,3885,3994,4097,4233,4370,4515,4651,4779,4943,5088,5254,5411,5591,5747,5874,6012,6143,6308,6454,6612,6761,6913,7086,7254,7414,7555,7709,7891,8074,8236,8425,8611,8800,8982,9168,9359,9551,9736,9934,10136,10303,10483,10682,10883,11057,11241,11432,11624,11842,12043,12262,12445,12654,12864,13086,13307,13531,13746,13960,14192,14445,14720,14984,15254,15551,15856,16150,16467,16763,17062,17379,17716,18037,18359,18709,19055,19423,19809,20187,20594,21006,21431,21858,22267,22714,23199,23663,24158,24713,25220,25757,26330,26879,27492,28104,28753,29431,30113,30754,31428,32123,32851,33605,34404,35180,35971,36742,37543,38314,39084,39909,40690,41474,42336,43163,44031,44882,45843,46715,47586,48483,49377,50321,51278,52286,53246,54196,55181,56267,57312,58346,59428,60531,61619,62765,63972,65167,66347,67607,68940,70224,71545,72975,74448,75976,77580,79219,80957,82630,84389,86133,87945,89708,91668,93606,95632,97765,99917,102181,104446,106799,109242,111589,114107,116586,119208,121802,124353,126942,129623,132307,135174,137931,140889,143803,146772,149827,152825,155982,159239,162465,165857,169295,172713,176245,179894,183563,187467,191292,195293,199200,203190,207195,211291,215478,219581,223857,228209,232445,236790,241259,245758,250285,254919,259546,264354,269145,274095,279023,284203,289283,294469,299651,304976,310447,315874,321378,327068,332652,338217,344087,350081,356193,362358,368803,375181,381651,388272,394933,401660,408498,415366,422336,429354,436462,443819,451105,458496,465845,473333,481105,488893,496672,504703,512831,521179,529524,537967,546398,555058,563833,572734,581774,590838,600042,609390,618890,628377,637788,647695,657660,667714,677779,687965,698287,708852,719512,730346,741180,752544,764066,775532,787016,798734,810699,822812,835092,847429,859792,872591,885879,899079,912113,925247,938820,952440,966445,980489,994587,1008982,1023542,1038374,1053395,1068752,1084010,1099593,1115206,1131189,1147128,1163393,1179685,1196171,1212589,1229392,1246225,1263024,1279975,1297083,1314567,1331808,1349505,1367243,1385008,1402970,1421221,1439878,1458381,1477352,1496374,1515686,1534721,1554163,1573721,1593522,1613469,1633565,1653997,1674204,1695052,1715753,1736629,1757756,1779061,1800428,1821845,1843738,1865652,1887502,1909681,1932076,1954293,1976779,1999248,2021547,2044549,2067570,2090471,2113520,2136687,2160115,2183452,2206902,2230593,2254286,2277860
1,1,1,1,3,4,4,8,8,9,11,15,16,20,26,29,34,37,39,41,45,47,53,56,68,74,77,80,86,90,98,107,112,115,125,128,132,138,141,146,150,158,159,162,164,168,173,175,182,190,194,199,202,204,209,216,221,230,242,253,266,275,280,294,303,317,329,337,353,362,371,388,400,413,424,436,453,465,481,492,511,523,538,555,575,589,607,619,641,657,669,692,714,728,750,766,787,814,828,844,867,888,903,926,952,967,984,1002,1024,1046,1081,1107,1149,1172,1205,1246,1279,1323,1351,1376,1403,1434,1459,1500,1539,1570,1596,1628,1659,1700,1733,1762,1796,1835,1864,1894,1931,1972,2012,2045,2074,2101,2143,2176,2225,2250,2273,2313,2347,2381,2410,2444,2485,2521,2556,2586,2614,2642,2670,2707,2756,2799,2843,2892,2937,2984,3031,3065,3121,3183,3230,3279,3332,3387,3441,3497,3553,3615,3679,3735,3784,3835,3894,3957,4029,4105,4165,4225,4295,4365,4440,4511,4593,4678,4782,4877,4976,5079,5227,5371,5490,5642,5784,5900,6035,6192,6333,6469,6591,6752,6893,7042,7209,7394,7563,7739,7898,8091,8270,8438,8619,8809,9024,9232,9459,9683,9916,10145,10373,10651,10900,11176,11460,11748,12030,12314,12620,12940,13260,13589,13924,14294,14657,15020,15377,15724,16121,16483,16880,17264,17670,18072,18477,18872,19283,19685,20099,20522,20961,21429,21897,22393,22863,23345,23823,24341,24794,25314,25796,26351,26900,27442,28009,28595,29176,29786,30391,30962,31541,32152,32774,33399,34078,34763,35427,36120,36799,37512,38234,38960,39709,40495,41247,42017,42792,43638,44479,45342,46204,47137,48048,48946,49924,50846,51796,52850,53793,54843,55866,56902,57987,59124,60322,61424,62661,63872,65089,66286,67578,68909,70247,71575,72915,74287,75618,77002,78311,79728,81195,82596,84003,85484,86925,88323,89873,91353,92816,94365,95853,97430,99050,100724,102442,104092,105858,107618,109472,111312,113219,115137,117037,119097,121174,123182,125303,127479,129786,132094,134459,136954,139481,142071,144701,147443,150194,152995,155843,158712,161689,164624,167624,170703,173837,177022,180310,183581,186922,190257,193828,197356,200952,204559,208290,212086,215856,219817,223738,227888,231970,236131,240385,244666,249075,253826,258644,263403,268277,273328,278402,283546,288920,294185,299763,305445,311240,317139,323112,329340,335552,341882,348353,355026,361622,368388,375130,382050,389097,396156,403562,411101,418656,426242,434027,441774,449779,457532,465725,473993,482314,490678,499247,507876,516703,525706,534873,544032,553411,562826,572143,581738,591417,601130,611166,621337,631712,642229,652836,663439,674331,685281,696456,707572,718784,730111,741770,753260,765067,777015,789181,801583,813821,826453,839313,852161,865434,878922,892532,906205,919920,934189,948468,962926,977768,992296,1007073,1021702,1036718,1051874,1067274,1082841,1098677,1114556,1131031,1147410,1163677,1180596,1197325,1214235,1231253,1248649,1265948,1283523,1301534,1319694,1338125,1356522,1374873
1,1,1,1,1,3,5,5,7,7,10,12,13,15,16,17,22,23,27,28,32,35,39,39,42,44,46,46,50,57,62,66,70,72,77,79,83,86,90,99,106,108,112,119,122,131,133,136,139,143,149,155,160,164,172,178,179,182,183,184,190,197,206,209,214,227,235,238,245,249,254,262,267,274,280,285,291,294,297,304,311,321,326,331,333,345,350,354,362,370,375,383,390,402,412,415,421,427,435,442,450,459,467,476,486,490,500,511,518,529,541,562,572,584,590,603,616,632,646,665,680,696,720,742,763,781,799,816,844,871,902,924,952,975,1003,1038,1068,1098,1124,1154,1188,1224,1240,1272,1304,1335,1365,1399,1430,1461,1486,1526,1562,1590,1633,1660,1700,1739,1774,1796,1819,1849,1873,1908,1935,1965,1984,2015,2045,2089,2132,2163,2199,2235,2271,2309,2344,2388,2428,2469,2508,2544,2594,2635,2690,2728,2776,2819,2871,2920,2973,3040,3084,3147,3201,3256,3291,3346,3388,3433,3489,3543,3610,3668,3734,3796,3848,3911,3963,4035,4105,4180,4240,4324,4389,4466,4540,4632,4720,4813,4913,5025,5143,5262,5388,5510,5640,5765,5916,6035,6175,6325,6461,6621,6799,6933,7088,7238,7390,7562,7743,7938,8117,8298,8466,8625,8834,9013,9207,9429,9674,9883,10112,10344,10605,10862,11129,11424,11715,12044,12395,12725,13087,13425,13771,14162,14578,14982,15382,15786,16213,16628,17046,17461,17966,18485,19015,19543,20115,20715,21268,21922,22539,23148,23775,24475,25143,25843,26535,27328,28080,28817,29634,30333,31059,31887,32721,33524,34374,35218,36064,36917,37808,38622,39512,40405,41310,42199,43106,43951,44823,45716,46690,47634,48638,49654,50634,51644,52692,53706,54861,56061,57170,58377,59638,60895,62117,63450,64765,66071,67365,68768,70190,71562,72940,74471,75958,77546,79092,80681,82362,84042,85757,87523,89390,91163,92981,94925,96929,99039,101221,103430,105711,108049,110387,112822,115193,117715,120166,122582,125104,127764,130397,133094,135863,138660,141436,144422,147294,150256,153153,155963,158937,161826,164849,167953,171060,174151,177375,180661,184034,187428,190900,194297,197810,201531,205208,209030,212863,216913,220815,224876,229066,233384,237749,242096,246614,251098,255592,260281,265093,269892,274875,279912,285026,290233,295439,300706,306124,311601,317195,322840,328663,334534,340503,346566,352782,359033,365458,371955,378506,385095,391646,398170,404870,411830,418789,425827,432773,439990,447420,454815,462459,470080,477844,485741,493669,501820,509981,518240,526817,535359,543967,552695,561670,570529,579517,588595,597901,607367,616939,626811,636702,646768,656880,667212,677705,688383,699185,710308,721151,732513,743996,755215,766777,778651,790531,802401,814720,827272,840076,852965,865865,879104,892443,906047,919736,933611,947555,961631,975792,990140,1004658,1019006,1033888,1048874,1064310,1079792,1095247,1111168,1127086,1143487,1160043,1176654,1193403,1210338,1227230
1,1,4,6,6,8,9,10,10,11,13,13,17,18,22,24,26,30,32,33,37,39,40,40,43,46,48,49,50,52,56,60,61,64,67,67,69,71,73,73,73,76,77,77,79,81,84,86,88,90,94,95,96,98,101,102,103,104,108,108,108,108,108,109,114,114,116,119,122,126,127,130,133,137,141,143,145,147,151,154,165,169,180,190,200,207,221,242,252,262,279,298,308,324,340,357,369,381,393,415,430,448,464,474,501,520,542,562,572,589,606,624,638,658,686,706,732,753,779,800,820,839,853,883,908,947,971,1005,1044,1071,1101,1141,1173,1207,1234,1268,1303,1350,1385,1432,1467,1505,1543,1578,1612,1649,1689,1727,1752,1785,1812,1842,1861,1891,1915,1950,1972,1997,2019,2050,2071,2093,2129,2159,2182,2211,2242,2289,2340,2401,2450,2502,2544,2599,2652,2715,2777,2849,2908,2969,3030,3087,3156,3218,3291,3358,3431,3495,3576,3660,3755,3841,3924,4020,4101,4206,4317,4413,4514,4626,4736,4865,5004,5135,5264,5419,5595,5788,5980,6186,6405,6627,6885,7120,7359,7601,7830,8067,8329,8580,8797,9049,9292,9507,9777,10021,10264,10510,10726,10993,11252,11513,11766,12040,12319,12607,12864,13131,13416,13731,14054,14327,14640,14926,15216,15535,15840,16121,16421,16699,17027,17349,17626,17947,18284,18630,18991,19351,19729,20118,20556,20965,21380,21832,22293,22726,23216,23727,24203,24690,25199,25721,26235,26765,27264,27810,28376,28876,29421,29997,30575,31153,31760,32372,32952,33542,34142,34733,35328,35935,36528,37145,37787,38417,39093,39735,40345,41004,41670,42372,43085,43830,44539,45213,45932,46732,47462,48200,48994,49836,50669,51492,52357,53259,54169,55095,56026,57013,57976,59026,60068,61120,62138,63232,64335,65455,66616,67860,69073,70334,71585,72917,74186,75462,76880,78225,79654,81023,82488,83932,85424,86945,88495,90144,91745,93430,95153,96799,98508,100285,102033,103901,105696,107618,109512,111435,113447,115511,117580,119698,121825,124035,126246,128490,130642,132940,135313,137632,140063,142467,144986,147510,150047,152686,155384,158130,160928,163825,166719,169717,172674,175786,178840,181989,185087,188375,191749,195053,198509,202010,205404,208948,212651,216396,220155,223873,227888,231841,235855,239990,244322,248773,253164,257838,262694,267519,272384,277280,282253,287472,292675,298000,303328,308953,314797,320580,326772,332852,339153,345683,352341,358947,365760,372692,379826,387106,394471,401946,409401,416905,424559,432468,440449,448601,456878,465272,473639,482042,490655,499618,508582,517732,527090,536884,546616,556208,566265,576243,586522,596814,607474,618205,629103,640069,651007,662250,673496,684992,696454,708032,719539,731321,743121,754989,767035,779496,791883,804689,817263,830004,843050,856405,869660,883352,897174,911082,925405,939567,953882,968488,983272,998220,1013418,1028633,1044293,1059956,1075717,1091554,1107813,1123984,1140477,1156817,1173278,1190165,1207105,1223962,1240884
1,1,1,1,1,1,1,3,5,8,10,11,12,14,14,14,14,15,18,20,21,23,24,27,29,30,34,40,43,46,50,52,55,59,62,63,69,72,74,76,81,85,88,90,95,96,101,107,112,117,120,124,126,130,132,137,139,141,144,145,149,150,151,152,156,161,164,168,174,176,178,182,189,197,199,204,206,209,213,218,222,224,226,231,234,239,241,244,247,250,255,255,261,270,280,291,301,306,311,319,330,334,340,346,356,364,370,379,392,407,421,426,434,446,456,470,485,505,513,524,536,547,562,585,606,632,640,658,680,705,721,739,762,785,819,843,872,901,933,951,977,1001,1031,1065,1100,1131,1152,1187,1227,1256,1285,1312,1355,1396,1432,1480,1523,1576,1628,1684,1735,1775,1830,1886,1946,2007,2058,2104,2156,2225,2285,2337,2389,2458,2527,2594,2664,2723,2780,2851,2917,3000,3082,3147,3220,3331,3421,3530,3631,3737,3843,3948,4052,4171,4307,4440,4579,4707,4852,5002,5152,5314,5455,5630,5793,5955,6113,6294,6471,6670,6861,7036,7216,7430,7635,7822,8057,8296,8541,8778,9055,9341,9640,9912,10183,10497,10812,11123,11431,11723,12042,12351,12663,13037,13359,13702,14094,14453,14832,15190,15533,15911,16317,16693,17078,17495,17889,18238,18627,19046,19431,19892,20305,20786,21168,21545,21983,22400,22830,23304,23755,24213,24692,25150,25603,26098,26610,27072,27569,28094,28608,29126,29684,30236,30772,31346,31879,32411,33027,33630,34166,34711,35303,35842,36445,37021,37582,38194,38829,39441,40046,40667,41279,41893,42564,43200,43899,44576,45253,46021,46768,47508,48275,49038,49836,50696,51564,52493,53404,54346,55263,56226,57176,58154,59178,60182,61259,62345,63403,64474,65563,66722,67907,69079,70248,71437,72660,73806,75032,76328,77723,79080,80526,82005,83402,84816,86292,87818,89271,90675,92115,93597,95081,96581,98065,99575,101136,102595,104199,105724,107175,108719,110350,111976,113659,115358,117072,118830,120570,122396,124282,126216,128106,130057,132090,134132,136204,138344,140445,142689,144899,147130,149487,151725,154021,156392,158805,161283,163794,166200,168612,171183,173675,176325,179072,181842,184636,187532,190371,193330,196312,199402,202534,205686,209061,212450,215961,219503,223065,226806,230498,234222,238025,241928,245830,249832,253821,257846,261860,265891,270081,274348,278551,282843,287313,291910,296529,301270,306053,310888,315857,320826,325943,331182,336461,341860,347431,353119,359082,365007,371051,377246,383496,389747,396055,402549,409013,415658,422420,429195,436038,443048,449985,457130,464274,471689,479214,486568,494236,501861,509747,517720,525873,534279,542622,551042,559647,568340,577223,586344,595460,604810,614474,624106,633833,643600,653567,663595,673955,684206,694615,705439,715955,726904,738015,749139,760495,771880,783339,795121,807177,819339,831604,844007,856551,869370,882388,895670,909290,923068,937073,951114,965394,980233,994766,1010023,1025339
1,1,2,3,4,4,4,4,5,6,7,7,8,10,10,13,14,14,18,21,25,27,29,31,32,35,39,45,49,52,56,60,66,70,75,78,81,85,88,91,96,96,97,100,108,109,111,114,118,123,129,137,148,153,158,162,165,170,176,180,182,185,194,202,210,216,225,233,238,245,251,256,263,272,277,281,288,295,302,311,321,324,329,334,339,349,352,357,359,364,376,380,384,387,391,395,396,400,407,410,416,421,431,437,444,447,452,457,462,470,480,487,492,494,501,507,520,529,544,558,570,582,594,601,617,631,640,663,677,689,702,717,735,755,777,798,819,837,859,878,896,913,935,956,976,998,1015,1030,1057,1080,1103,1129,1147,1172,1192,1210,1234,1255,1270,1296,1317,1334,1354,1374,1397,1420,1441,1463,1485,1512,1534,1559,1587,1617,1644,1687,1712,1755,1787,1821,1866,1901,1938,1980,2026,2091,2143,2185,2222,2253,2280,2319,2367,2399,2442,2474,2518,2562,2600,2641,2682,2728,2776,2820,2870,2923,2966,3005,3061,3143,3222,3297,3376,3460,3524,3613,3701,3787,3886,3994,4085,4170,4259,4365,4459,4571,4670,4779,4886,4986,5083,5198,5309,5410,5521,5634,5751,5869,5998,6124,6240,6369,6493,6630,6776,6922,7070,7238,7386,7554,7750,7934,8134,8363,8562,8761,8980,9210,9443,9689,9941,10172,10456,10752,11033,11313,11601,11895,12212,12527,12829,13170,13525,13833,14194,14534,14868,15266,15668,16055,16435,16861,17264,17662,18075,18507,18953,19381,19793,20219,20734,21201,21741,22206,22757,23324,23922,24531,25156,25771,26434,27088,27774,28442,29158,29881,30618,31390,32186,33009,33858,34742,35599,36526,37413,38353,39337,40273,41254,42249,43288,44436,45530,46659,47781,48965,50217,51448,52705,54009,55401,56736,58107,59467,60913,62328,63726,65118,66562,68163,69797,71479,73166,74870,76485,78246,80008,81769,83560,85334,87173,89130,91117,93132,95084,97022,99016,100907,102922,105037,107052,109213,111454,113860,116147,118499,120885,123421,126012,128580,131264,133896,136653,139601,142488,145412,148358,151391,154456,157564,160654,163851,167006,170232,173494,176751,180020,183352,186630,190125,193573,197016,200636,204307,207992,211808,215762,219678,223934,228091,232209,236436,240655,244990,249372,253731,258301,262953,267604,272517,277410,282349,287382,292339,297429,302766,308107,313440,318978,324386,329989,335592,341365,347107,353059,359008,365078,371222,377520,383889,390473,397133,403762,410559,417587,424609,431792,439173,446575,454255,461995,469937,477950,486028,494359,502800,511287,519927,528807,537753,546870,556093,565671,575229,584868,594588,604466,614636,624998,635377,645794,656272,667016,677928,689057,700302,711652,723090,734637,746272,758122,770054,782139,794004,806076,818526,831047,843709,856497,869383,882315,895301,908728,922138,935823,949527,963332,977590,992058,1006695,1021337,1036234,1051260,1066546,1082215,1098031,1113920
1,1,1,1,1,1,2,2,2,2,3,3,6,8,11,15,15,19,19,19,20,25,28,32,34,35,36,39,44,47,53,59,62,68,74,83,90,101,106,112,126,134,139,151,158,168,174,182,194,200,215,225,234,239,252,267,283,301,313,327,343,365,379,389,401,416,433,447,455,475,489,500,520,535,545,565,580,599,606,623,645,664,681,704,722,734,751,767,780,802,822,845,861,884,903,920,941,952,971,986,1000,1017,1034,1052,1066,1084,1102,1112,1126,1141,1162,1183,1202,1225,1250,1268,1284,1303,1317,1340,1364,1382,1405,1434,1452,1467,1484,1506,1537,1557,1579,1600,1622,1656,1683,1702,1727,1754,1772,1793,1809,1831,1847,1869,1886,1903,1931,1954,1980,2006,2026,2046,2069,2085,2112,2132,2152,2177,2200,2221,2245,2263,2291,2314,2331,2348,2376,2404,2425,2464,2489,2511,2536,2564,2594,2616,2639,2656,2686,2713,2744,2783,2810,2838,2867,2900,2921,2943,2972,2990,3019,3044,3066,3081,3105,3136,3158,3175,3207,3226,3248,3264,3283,3309,3335,3358,3379,3403,3428,3445,3469,3499,3521,3537,3562,3584,3600,3617,3640,3659,3678,3699,3717,3737,3758,3777,3801,3823,3845,3865,3892,3920,3957,3980,4024,4050,4074,4109,4137,4177,4218,4251,4284,4333,4383,4441,4502,4545,4610,4683,4748,4830,4902,4981,5067,5168,5257,5372,5490,5608,5721,5835,5961,6089,6223,6364,6552,6746,6931,7159,7402,7650,7916,8160,8413,8683,8984,9248,9559,9874,10158,10492,10850,11186,11537,11903,12258,12644,13023,13362,13701,14096,14442,14833,15232,15624,15999,16366,16722,17081,17433,17832,18203,18548,18913,19320,19732,20162,20608,21061,21511,21978,22419,22826,23266,23726,24148,24570,25017,25477,25905,26360,26816,27283,27732,28171,28572,29026,29514,29984,30432,30909,31363,31825,32311,32769,33259,33772,34333,34858,35367,35947,36468,37048,37656,38230,38827,39440,40070,40731,41424,42117,42797,43464,44145,44864,45579,46297,47060,47758,48511,49287,50074,50879,51657,52478,53257,54150,54984,55814,56669,57588,58549,59573,60673,61705,62821,63985,65103,66284,67499,68713,69956,71165,72457,73793,75166,76451,77816,79284,80788,82381,83965,85612,87212,88965,90692,92465,94227,96138,98033,99893,101780,103669,105566,107578,109572,111635,113627,115669,117730,119815,121973,124200,126485,128779,131208,133640,136093,138669,141225,143695,146275,149018,151672,154406,157251,160094,162972,165866,168851,171814,174902,177978,181239,184378,187639,190945,194336,197836,201422,204905,208555,212031,215607,219342,223042,226870,230748,234601,238543,242579,246710,250711,254868,259211,263517,267956,272447,277128,281924,286572,291527,296369,301486,306595,311882,317086,322427,327929,333599,339362,345144,351185,357186,363349,369712,376010,382344,389018,395465,402142,408827,415479,422292,429251,436503,443565,450866,458075,465600,473185,480907,488795,496821,504714,512841
1,1,1,1,3,6,7,8,9,10,12,13,16,21,28,31,37,43,49,58,66,76,87,92,103,112,121,131,144,156,172,184,199,209,216,223,235,251,283,304,321,345,374,394,406,429,460,486,518,550,577,597,622,659,693,730,763,793,814,840,862,891,929,975,1003,1041,1079,1112,1154,1201,1238,1275,1323,1361,1403,1444,1496,1544,1581,1630,1675,1723,1772,1838,1878,1931,2001,2067,2119,2183,2245,2299,2348,2408,2469,2557,2624,2708,2805,2867,2971,3046,3142,3237,3341,3418,3513,3633,3742,3845,3940,4043,4146,4232,4327,4444,4526,4620,4717,4820,4937,5038,5139,5248,5352,5465,5605,5725,5867,6013,6184,6332,6511,6685,6887,7049,7258,7451,7674,7897,8124,8366,8627,8889,9157,9410,9682,9949,10239,10534,10789,11073,11357,11684,12051,12421,12808,13157,13590,14000,14418,14899,15445,15975,16483,17057,17621,18156,18724,19323,19872,20429,20985,21562,22168,22753,23328,23930,24532,25135,25750,26387,27044,27740,28479,29198,29949,30713,31472,32250,33076,33972,34840,35660,36479,37355,38234,39171,40102,41031,41972,42857,43748,44676,45572,46505,47406,48300,49256,50200,51143,52042,53004,53936,54911,55859,56853,57848,58812,59845,60875,61897,62998,64032,65116,66239,67403,68588,69691,70885,72075,73285,74544,75775,77069,78324,79572,80810,82119,83462,84753,86077,87480,88868,90294,91717,93250,94799,96322,97886,99533,101219,102904,104711,106491,108321,110134,112117,114044,116017,118041,120097,122167,124312,126425,128635,130754,133103,135336,137677,140059,142390,144875,147250,149817,152451,154973,157646,160328,163122,165913,168864,171765,174790,177809,181002,184230,187490,190701,194024,197483,200893,204475,208205,211908,215653,219557,223571,227661,231922,236148,240503,244945,249480,254070,258709,263231,268136,272868,277746,282861,287882,293138,298432,303860,309354,314762,320507,326460,332508,338515,344547,350796,357151,363429,369784,376328,383211,389860,397001,404073,411168,418330,425664,433099,440623,448383,456148,464304,472398,480570,488769,497091,505402,513763,522381,531056,539955,548881,558037,566886,576129,585403,594762,604419,614033,623801,633679,643673,653654,663747,673968,684324,694841,705133,715687,726370,737204,748004,758948,769980,781055,792557,803943,815227,826890,838368,849974,861718,873675,885961,898307,910456,923208,935975,949012,962001,975302,988838,1002778,1016938,1031134,1045670,1060073,1074783,1089644,1104837,1119875,1135375,1150594,1166343,1182091,1197839,1214004,1230093,1246474,1263247,1280225,1297007,1313879,1331023,1348136,1365556,1383284,1400871,1418871,1436938,1454969,1473386,1491607,1510178,1528628,1547094,1565916,1584762,1603984,1623107,1642453,1661755,1681183,1700944,1720618,1740373,1760302,1780580,1800730,1821237,1842056,1862804,1883630,1904348,1925183,1946084,1967181,1988608,2009814,2030902,2052434,2074205,2095827,2117634,2139458,2161551,2183390,2205808,2228107,2250491,2272825,2295355,2317990,2340442,2363062,2385961,2408859,2432435,2455777,2479320,2502825,2526397,2550119,2573875,2597575,2621843,2645879,2670034,2694426,2718916,2743663,2768478,2793512,2818579,2843776,2869044,2894135,2919556,2944979,2970627,2996110,3021854,3047555,3073497,3099535,3125310,3151295,3177290,3203599,3230009
1,1,1,3,5,8,13,14,15,17,21,23,25,29,32,35,37,44,51,56,58,60,64,68,73,79,86,89,95,99,107,117,123,133,137,143,149,153,155,159,166,170,174,179,185,189,199,208,217,220,227,233,236,249,253,261,270,277,283,288,297,308,316,326,338,350,369,374,383,392,406,422,431,438,457,470,483,496,509,520,533,550,559,576,589,607,627,642,655,668,689,705,727,746,764,787,803,822,837,849,872,901,917,940,956,968,994,1010,1031,1058,1086,1102,1123,1139,1159,1179,1204,1231,1257,1282,1306,1335,1360,1380,1403,1428,1444,1464,1483,1499,1530,1553,1573,1589,1616,1637,1665,1684,1699,1714,1737,1759,1782,1805,1822,1834,1854,1875,1891,1900,1916,1927,1938,1949,1963,1987,1996,2017,2031,2055,2074,2087,2109,2134,2160,2186,2215,2231,2251,2266,2300,2319,2353,2393,2436,2492,2548,2604,2649,2704,2771,2839,2898,2968,3029,3099,3152,3222,3279,3347,3411,3465,3529,3591,3656,3726,3788,3845,3905,3969,4023,4090,4143,4213,4268,4343,4429,4501,4582,4670,4751,4835,4917,5003,5071,5164,5270,5350,5449,5558,5677,5800,5923,6041,6180,6317,6457,6616,6780,6952,7159,7351,7527,7709,7911,8116,8336,8521,8725,8935,9169,9406,9664,9951,10204,10474,10711,10961,11190,11456,11744,12051,12345,12687,13011,13337,13689,14023,14352,14674,15019,15327,15644,15975,16315,16655,16942,17229,17556,17866,18202,18525,18841,19172,19513,19821,20133,20467,20773,21124,21498,21896,22316,22688,23074,23463,23900,24317,24757,25209,25671,26202,26663,27167,27646,28139,28668,29164,29659,30164,30633,31086,31560,32057,32586,33032,33461,33946,34444,34939,35465,36003,36497,36977,37495,38011,38514,39022,39548,40070,40635,41197,41731,42272,42784,43329,43856,44392,44964,45531,46090,46667,47269,47895,48533,49127,49701,50302,50961,51651,52299,52959,53623,54362,55064,55788,56560,57355,58185,59006,59919,60778,61705,62602,63517,64445,65331,66288,67274,68223,69171,70157,71243,72276,73295,74340,75434,76571,77614,78776,79910,80941,82033,83163,84280,85442,86580,87749,89008,90266,91518,92837,94096,95433,96814,98126,99541,100958,102361,103891,105363,106878,108403,109948,111610,113264,115045,116812,118619,120409,122200,124109,126013,127991,130054,132146,134190,136432,138679,141051,143501,145955,148425,150947,153659,156327,159105,161897,164657,167497,170346,173336,176434,179495,182631,185841,189007,192287,195724,199164,202550,206044,209646,213287,216882,220518,224144,227982,231731,235564,239425,243272,247243,251201,255191,259406,263658,267882,272229,276531,280832,285316,289927,294584,299239,304057,308940,313843,318971,324348,329726,335237,340910,346673,352607,358613,364800,370955,377289,383592,390133,396657,403249,409986,416932,423744,430612,437659,444778,452045,459524,467165,475044,483037,490957,498966,507111,515280,523710,532293,540929,549617,558404,567391,576554,585852,595303
1,1,1,1,2,2,2,2,3,5,8,10,12,15,21,24,26,27,32,36,41,44,48,51,52,55,58,58,59,60,62,68,70,75,77,81,86,88,92,97,98,102,107,119,128,137,144,147,148,156,162,166,169,176,183,185,191,202,209,213,217,221,225,234,239,244,251,253,262,263,270,274,279,283,286,292,300,309,310,314,319,321,331,335,339,346,349,350,358,361,362,364,367,371,373,374,377,380,381,381,383,387,394,395,400,401,405,409,411,412,413,415,416,416,418,420,422,426,428,431,431,435,437,442,445,447,447,450,451,455,456,463,464,467,470,473,481,485,488,491,496,500,504,510,520,529,534,539,541,545,548,550,554,563,569,578,588,592,603,606,612,619,625,632,646,656,660,667,670,679,691,697,706,714,724,733,737,745,753,763,771,775,787,796,805,815,823,834,843,847,856,864,874,883,889,895,903,916,928,940,952,959,967,972,982,994,1002,1010,1022,1033,1046,1055,1066,1077,1091,1105,1113,1122,1138,1156,1176,1186,1200,1217,1241,1265,1291,1308,1314,1333,1350,1374,1395,1414,1447,1472,1498,1523,1553,1574,1597,1628,1652,1672,1697,1722,1745,1775,1804,1827,1852,1876,1901,1922,1957,1983,2016,2036,2053,2074,2105,2126,2150,2175,2204,2223,2245,2274,2291,2320,2341,2377,2405,2432,2463,2485,2519,2552,2577,2610,2644,2678,2704,2739,2786,2822,2859,2901,2942,2981,3023,3071,3121,3170,3212,3254,3284,3322,3361,3406,3444,3480,3521,3566,3620,3653,3706,3757,3811,3865,3902,3956,3995,4023,4062,4111,4159,4206,4246,4295,4336,4381,4449,4520,4575,4634,4697,4766,4835,4917,4986,5040,5114,5176,5245,5310,5382,5458,5540,5623,5708,5781,5867,5938,6035,6124,6204,6303,6390,6479,6586,6686,6782,6874,6982,7106,7212,7335,7450,7579,7689,7814,7940,8097,8246,8374,8518,8653,8814,8974,9113,9264,9418,9582,9719,9893,10028,10152,10293,10430,10558,10690,10836,10989,11138,11324,11487,11677,11859,12017,12161,12323,12486,12649,12835,13023,13227,13419,13594,13800,13998,14210,14437,14675,14945,15175,15388,15615,15874,16144,16399,16674,16937,17200,17456,17732,17995,18300,18602,18889,19175,19457,19735,20011,20354,20652,20925,21217,21541,21854,22172,22492,22823,23162,23472,23772,24080,24450,24801,25179,25586,26011,26378,26786,27240,27703,28122,28618,29140,29656,30202,30742,31304,31868,32398,32961,33525,34146,34792,35434,36129,36796,37448,38140,38808,39527,40279,41058,41824,42598,43402,44225,45025,45890,46811,47728,48660,49610,50609,51683,52703,53744,54846,55997,57186,58451,59703,60964,62292,63593,64959,66387,67829,69295,70711,72193,73694
1,1,1,1,1,1,1,3,6,8,9,9,11,12,12,13,17,17,18,21,22,22,23,23,24,27,28,30,34,35,36,37,39,40,44,48,51,57,60,62,63,69,73,76,80,84,91,95,99,106,109,114,120,124,128,139,148,158,170,182,189,204,224,240,253,264,279,301,321,342,353,370,388,408,429,441,463,477,497,511,525,536,556,571,582,597,611,621,641,659,673,692,703,719,731,751,770,781,792,804,819,838,855,865,883,895,911,931,948,973,995,1007,1022,1040,1060,1089,1112,1129,1146,1169,1191,1213,1240,1267,1297,1325,1347,1371,1396,1426,1450,1468,1505,1536,1555,1574,1599,1624,1661,1686,1720,1751,1787,1811,1834,1857,1897,1932,1964,2001,2032,2068,2101,2130,2162,2190,2228,2262,2301,2339,2382,2414,2454,2503,2542,2587,2628,2684,2733,2792,2847,2911,2978,3027,3087,3154,3227,3292,3358,3446,3518,3617,3733,3858,3963,4115,4259,4423,4617,4787,4959,5150,5325,5505,5693,5888,6079,6255,6408,6577,6760,6933,7103,7282,7458,7605,7765,7931,8115,8306,8512,8727,8965,9199,9456,9683,9960,10239,10520,10812,11108,11425,11731,12098,12465,12828,13211,13629,14067,14548,14964,15417,15919,16439,16937,17457,17995,18500,19000,19513,20035,20529,21042,21516,21993,22495,22978,23446,23941,24394,24813,25273,25653,26087,26516,26981,27447,27900,28315,28786,29222,29656,30117,30590,31083,31553,32074,32592,33105,33654,34182,34754,35339,35966,36570,37228,37951,38689,39411,40180,40924,41687,42507,43299,44129,44930,45722,46596,47444,48281,49192,50109,51037,52077,53104,54149,55332,56424,57511,58687,59891,61120,62324,63563,64858,66090,67327,68624,70019,71397,72708,74084,75507,76872,78176,79599,81061,82510,83972,85481,86997,88501,90131,91874,93677,95482,97379,99301,101327,103360,105428,107594,109788,111996,114316,116687,119140,121489,124001,126607,129275,131994,134681,137450,140259,143213,146213,149164,152252,155312,158424,161636,164749,167956,171174,174514,177800,181199,184714,188229,191734,195429,199146,202912,206623,210443,214512,218471,222507,226845,231151,235655,240164,244669,249270,253881,258613,263378,268197,273229,278342,283533,288676,293844,299056,304329,309736,315241,320757,326469,332165,337949,344029,350046,356063,362258,368575,375148,381624,388086,394766,401430,408334,415204,422082,428988,436276,443571,450998,458342,465883,473564,481334,489250,497255,505435,513742,522354,530946,539655,548647,557658,566819,576010,585667,595408,605339,615320,625343,635742,646171,656603,667242,678030,688938,699782,711044,722331,733750,745370,756972,768543,780200,792247,804212,816287,828755,841353,853963,866941,879915,893181,906575,919842,933609,947549,961282,975168,989237,1003586,1018029,1032585,1047387,1062242,1077190,1092554,1107807,1123049,1138415,1154011,1169803,1185463,1201308,1217233,1233567,1249773,1266172,1282847,1299660,1316363,1333405,1350655,1367982,1385367,1402865,1420693,1438797,1457062,1475123,1493564,1512068,1530839,1549964,1569067,1588230,1607528,1627161
1,1,1,1,1,4,5,5,7,9,10,13,14,17,20,22,27,28,34,39,43,47,50,54,57,62,70,75,76,79,83,88,94,102,105,109,114,115,117,119,124,127,133,134,137,140,141,143,153,158,159,161,162,163,167,167,172,174,175,178,180,184,188,189,191,192,197,202,205,209,211,217,225,230,237,241,247,253,259,264,276,284,290,303,308,310,317,324,325,331,335,340,346,351,356,356,364,372,382,390,396,403,415,417,421,427,432,441,450,454,464,475,487,496,508,517,531,540,548,552,565,576,584,598,617,638,655,673,697,712,725,745,754,775,803,822,840,862,879,905,927,943,961,982,1004,1022,1038,1062,1084,1105,1121,1141,1165,1180,1210,1236,1255,1279,1303,1317,1337,1356,1383,1405,1422,1442,1460,1482,1496,1513,1534,1554,1573,1589,1610,1632,1651,1672,1693,1717,1762,1805,1861,1912,1963,2025,2078,2134,2197,2268,2325,2387,2457,2520,2598,2681,2745,2811,2880,2956,3019,3078,3150,3219,3289,3360,3432,3503,3575,3648,3737,3814,3905,3999,4091,4184,4279,4362,4443,4544,4631,4725,4813,4884,4970,5072,5159,5247,5324,5430,5523,5602,5697,5784,5868,5947,6046,6132,6213,6310,6402,6498,6587,6685,6796,6911,7008,7124,7239,7342,7442,7553,7666,7782,7894,8012,8115,8222,8343,8458,8591,8726,8840,8984,9125,9265,9404,9541,9697,9853,10003,10169,10334,10513,10689,10868,11046,11247,11444,11639,11838,12058,12261,12504,12741,12987,13267,13506,13761,13986,14198,14477,14700,14971,15243,15505,15794,16069,16402,16701,17024,17372,17697,18061,18408,18806,19191,19574,20001,20408,20822,21250,21686,22098,22552,22997,23429,23910,24359,24858,25392,25926,26426,26968,27490,28046,28614,29190,29757,30356,30989,31629,32234,32844,33504,34168,34836,35458,36156,36872,37593,38370,39124,39870,40667,41493,42346,43237,44158,45100,46045,46999,47921,48896,49853,50779,51884,52896,53995,55121,56219,57321,58461,59580,60811,61929,63156,64425,65671,66929,68207,69489,70832,72224,73674,75044,76450,77879,79318,80826,82320,83898,85507,87027,88633,90244,91943,93648,95375,97057,98921,100795,102666,104561,106614,108647,110730,112856,115018,117260,119575,121827,124270,126625,129029,131487,134113,136713,139356,142003,144817,147658,150442,153279,156187,159178,162268,165436,168627,171841,175116,178503,181832,185279,188802,192299,195977,199632,203348,207103,210790,214638,218422,222332,226206,230063,233974,238044,242214,246521,250881,255264,259817,264475,269213,274094,279041,284132,289277,294450,299859,305334,310967,316626,322352,328074,333903,339856,345856,351931,358036,364139,370415,376751,383239,389868,396442,403150,410056,416907,423898,430912,438187,445438,452814,460170,467536,475298,483030,490666,498446,506601,514613,522786,531314,539894,548574,557445,566355,575357,584492,593665,603067,612717,622315,632150,642144
1,1,1,1,1,1,3,4,5,7,9,10,12,18,18,20,21,22,28,30,37,41,48,50,56,59,63,66,72,76,82,87,94,102,112,118,123,130,135,143,146,152,160,170,179,186,193,197,204,214,219,226,232,239,242,249,255,263,272,281,290,296,309,318,325,337,346,359,368,381,389,399,411,424,441,450,459,470,479,489,497,506,517,539,568,583,611,636,660,686,731,793,868,928,996,1071,1160,1235,1314,1405,1497,1574,1685,1758,1843,1914,1989,2070,2139,2221,2305,2379,2445,2518,2570,2621,2676,2722,2778,2840,2895,2958,3004,3064,3114,3170,3227,3269,3310,3353,3395,3440,3490,3534,3591,3646,3691,3738,3799,3847,3894,3930,3984,4028,4086,4137,4187,4241,4300,4342,4405,4466,4528,4565,4617,4685,4734,4774,4833,4879,4931,4996,5054,5123,5189,5256,5312,5373,5439,5499,5564,5641,5700,5768,5852,5924,5999,6066,6138,6203,6266,6325,6392,6468,6543,6631,6718,6793,6881,6964,7039,7126,7201,7302,7410,7510,7609,7717,7841,7968,8087,8194,8349,8471,8585,8716,8874,9025,9180,9346,9512,9667,9846,10026,10193,10389,10565,10771,10966,11191,11426,11645,11873,12109,12352,12604,12847,13103,13391,13654,13952,14242,14526,14844,15152,15478,15806,16132,16456,16803,17172,17532,17881,18231,18598,18964,19344,19719,20126,20525,20933,21376,21808,22239,22679,23093,23524,23990,24450,24913,25359,25877,26338,26835,27391,27892,28402,28900,29422,29945,30514,31093,31660,32221,32828,33447,34021,34587,35183,35768,36362,36971,37618,38270,38909,39555,40256,40980,41680,42413,43181,43925,44721,45546,46372,47260,48149,49006,49873,50791,51728,52632,53591,54511,55518,56507,57486,58520,59615,60701,61845,63022,64191,65384,66589,67828,69113,70418,71714,73027,74313,75659,77098,78479,79945,81414,82934,84462,86002,87588,89216,90891,92642,94286,96082,97792,99582,101448,103370,105251,107180,109217,111157,113230,115228,117302,119283,121433,123621,125757,127961,130249,132467,134692,136969,139308,141704,144064,146517,149073,151581,154233,156880,159612,162287,165180,168103,171115,174122,177181,180277,183308,186473,189762,193007,196388,199771,203191,206738,210247,213799,217442,221206,224980,228684,232612,236624,240830,245126,249326,253782,258276,262884,267642,272330,277361,282332,287311,292494,297825,303166,308736,314310,319965,325727,331595,337638,343808,350028,356248,362772,369345,376128,382910,389814,396806,403981,411265,418743,426181,433568,441218,449004,456969,464982,473286,481694,490151,498845,507756,516578,525686,534906,544164,553678,563491,573391,583317,593357,603583,614056,624653,635234,646050,657017,667939,679035,690248,701404,712872,724561,736253,748194,760045,771976,784228,796557,808892,821437,834223,847260,860411,873626,887110,900789,914337,928110,942013,955871,970133,984571,999343,1014066,1028649,1043343,1058392,1073329,1088642,1104083,1119643,1135454,1151346,1167312,1183311,1199365,1215689,1232223,1248777,1265510,1282458,1299549,1316947,1334228,1351819,1369456,1387124,1405173
1,1,1,2,3,3,4,5,5,5,6,10,11,13,18,18,18,19,20,21,24,28,33,35,36,39,44,49,53,56,61,65,69,72,76,81,84,90,93,100,103,108,112,118,125,131,136,142,145,148,153,160,167,175,180,190,200,206,219,228,233,247,253,259,265,279,292,297,303,308,316,322,327,335,340,348,356,364,371,379,388,393,407,415,423,435,443,453,465,476,484,490,503,519,535,551,570,584,602,616,633,650,669,692,711,726,742,757,773,782,796,821,838,852,865,880,893,908,924,937,949,969,982,998,1013,1031,1046,1067,1085,1096,1115,1133,1153,1180,1205,1228,1247,1273,1293,1318,1345,1370,1406,1434,1459,1502,1539,1560,1598,1636,1702,1753,1795,1834,1891,1950,2012,2068,2123,2185,2247,2310,2383,2441,2520,2599,2683,2789,2865,2954,3044,3135,3233,3337,3428,3532,3627,3734,3831,3924,4017,4123,4231,4335,4443,4562,4692,4832,4962,5099,5248,5392,5567,5701,5853,6021,6189,6371,6575,6779,6998,7233,7459,7650,7875,8115,8387,8617,8848,9070,9313,9535,9756,9979,10200,10428,10654,10890,11129,11376,11621,11854,12098,12347,12599,12855,13074,13342,13584,13835,14094,14346,14613,14863,15112,15383,15648,15905,16181,16428,16708,16979,17302,17612,17941,18263,18584,18910,19302,19669,20025,20429,20845,21287,21725,22194,22674,23187,23708,24241,24762,25335,25882,26461,27020,27593,28167,28774,29400,29982,30600,31200,31776,32317,32892,33447,34043,34659,35266,35872,36476,37106,37818,38536,39247,40014,40798,41570,42338,43160,44034,44886,45763,46619,47538,48448,49382,50344,51316,52315,53335,54398,55452,56486,57553,58607,59705,60706,61826,62949,64080,65235,66311,67463,68568,69780,70885,72066,73176,74310,75427,76544,77734,78979,80264,81629,82913,84206,85617,87005,88334,89735,91164,92602,94058,95613,97161,98731,100356,102053,103721,105394,107093,108988,110778,112640,114540,116500,118524,120569,122642,124702,126787,129056,131372,133795,136157,138579,141062,143670,146314,148976,151752,154561,157454,160336,163288,166334,169367,172435,175551,178647,181911,185037,188308,191525,194911,198308,201790,205155,208766,212294,215997,219524,223112,226807,230587,234424,238246,242157,246153,250141,254125,258293,262496,266847,271187,275702,280108,284687,289336,294090,299056,304111,309383,314634,320117,325681,331137,336850,342561,348237,354101,360161,366185,372361,378761,385127,391693,398393,405266,412108,419124,426171,433576,440914,448303,455702,463197,470762,478396,486347,494186,502273,510431,518587,526801,535105,543515,551803,560496,569169,577935,586789,595726,604930,614191,623628,633329,643103,652916,662814,672825,683231,693658,704265,715068,725852,736889,748053,759302,770858,782554,794290,806343,818574,831063,843504,856288,869335,882443,895842,909238,922961,936714,950341,964301,978419,992557,1007028,1021482,1036014,1050805,1065674,1081037,1096095,1111571,1127312,1143220,1159313,1175582,1191937,1208417,1225155,1241997,1259157,1276321
1,1,1,1,1,2,3,3,3,3,3,4,5,5,5,7,7,10,13,15,16,16,17,21,24,28,31,35,36,40,44,46,49,54,59,63,67,72,77,79,82,87,89,93,95,103,106,107,112,114,116,118,122,128,135,139,142,148,150,155,158,163,167,170,172,175,179,185,190,196,201,206,213,223,228,230,234,241,245,257,261,268,272,278,286,290,297,302,308,315,319,324,330,334,344,347,351,358,365,371,373,377,382,389,396,399,405,408,410,418,420,423,427,430,436,440,447,451,457,469,475,485,489,503,509,521,532,546,555,572,603,632,665,709,750,797,833,880,927,968,1030,1075,1126,1157,1201,1247,1290,1323,1359,1395,1433,1470,1500,1539,1573,1599,1625,1643,1674,1701,1727,1748,1780,1807,1841,1882,1915,1946,1978,2019,2064,2102,2156,2219,2272,2337,2404,2474,2544,2601,2692,2775,2845,2917,2992,3070,3136,3228,3300,3378,3448,3516,3574,3630,3686,3736,3800,3842,3899,3959,4018,4066,4112,4176,4225,4292,4343,4393,4455,4522,4589,4669,4743,4817,4897,4966,5038,5115,5194,5275,5358,5431,5505,5577,5660,5728,5798,5864,5930,5999,6070,6134,6207,6271,6342,6411,6467,6527,6570,6633,6688,6744,6807,6883,6957,7027,7080,7135,7205,7258,7314,7384,7450,7520,7584,7659,7745,7801,7877,7962,8026,8109,8191,8274,8356,8444,8532,8617,8692,8773,8846,8923,9007,9084,9184,9267,9356,9449,9533,9615,9700,9791,9877,9985,10078,10195,10302,10398,10493,10603,10710,10837,10949,11084,11212,11357,11523,11677,11838,11996,12146,12293,12459,12619,12795,12973,13162,13321,13510,13724,13900,14073,14282,14472,14697,14933,15185,15447,15713,15971,16217,16495,16745,17005,17284,17560,17846,18127,18407,18707,19043,19376,19705,20097,20456,20833,21268,21720,22228,22740,23286,23856,24459,25068,25671,26260,26853,27483,28118,28753,29382,30001,30574,31209,31840,32474,33111,33753,34460,35166,35912,36656,37426,38224,38988,39781,40653,41463,42259,43043,43898,44691,45426,46215,47006,47792,48584,49392,50272,51139,52010,52874,53766,54625,55563,56494,57457,58450,59472,60470,61491,62521,63615,64822,65979,67102,68375,69534,70857,72158,73471,74771,76135,77584,79011,80414,81807,83360,84896,86347,87845,89375,90955,92596,94233,95895,97575,99236,100895,102672,104405,106197,108066,109874,111817,113775,115740,117655,119701,121701,123799,125884,127900,130042,132087,134292,136470,138766,141023,143226,145582,147873,150285,152797,155234,157785,160366,163075,165920,168836,171795,174773,177784,181037,184342,187671,191199,194825,198402,202146,206031,209867,213852,217868,221827,225834,229977,234227,238431,242706,246909,251303,255735,260232,264818,269415,274166,279106,284014,289023,294225,299387,304643,310146,315693,321211,326998,332783,338610,344588,350588,356707,362959,369231,375657,382094,388612
1,1,1,2,3,3,4,5,5,5,5,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,8,9,10,10,10,10,10,10,10,11,11,11,11,11,11,12,12,12,14,16,16,16,18,21,24,26,28,30,31,33,38,41,46,52,57,62,64,65,70,75,79,84,90,100,114,125,136,144,158,172,181,194,210,215,229,244,262,278,295,315,332,352,370,387,404,428,444,459,483,509,519,533,559,581,609,632,657,683,713,736,763,795,823,868,901,928,968,999,1037,1076,1107,1141,1176,1206,1255,1290,1349,1404,1441,1480,1529,1588,1646,1713,1755,1811,1866,1921,1981,2055,2128,2211,2299,2391,2494,2620,2719,2821,2914,3002,3129,3238,3339,3450,3561,3677,3806,3950,4078,4208,4331,4478,4624,4772,4925,5080,5233,5374,5548,5719,5867,6024,6197,6381,6552,6747,6947,7141,7334,7517,7762,7960,8156,8337,8553,8775,9003,9245,9478,9721,9974,10200,10452,10675,10922,11185,11439,11713,11999,12291,12548,12836,13133,13417,13735,14075,14389,14688,15017,15308,15646,16005,16318,16638,16980,17309,17684,18025,18347,18722,19110,19483,19910,20313,20720,21182,21617,22073,22559,23059,23546,24080,24643,25153,25709,26264,26811,27381,27984,28567,29187,29818,30445,31082,31739,32372,33020,33674,34317,34997,35695,36426,37173,37897,38691,39501,40390,41224,42070,42943,43864,44783,45691,46698,47630,48662,49646,50681,51736,52834,53883,54994,56191,57346,58543,59746,60968,62318,63552,64806,66198,67617,69023,70411,71876,73330,74798,76398,78060,79699,81404,83206,85087,87054,89023,91090,93165,95281,97525,99780,102072,104398,106769,109264,111893,114641,117279,119919,122673,125500,128325,131158,133998,136940,140027,143080,146292,149577,152804,156011,159420,162823,166245,169687,173278,176870,180426,184079,187859,191607,195447,199332,203446,207527,211664,215911,220328,224772,229100,233511,238030,242596,247276,252077,256915,261931,266907,271959,277125,282424,287694,292924,298360,303841,309351,314900,320418,326136,332001,337788,343694,349633,355633,361742,367974,374343,380607,387156,393721,400336,407300,414262,421481,428710,436214,444015,451844,459729,467730,475934,483978,492238,500920,509382,518231,527004,535885,545125,554329,563868,573361,583149,593036,603061,613325,623733,634366,645259,656287,667235,678630,690153,701988,713716,725782,738144,750423,763022,775768,788854,801888,815096,828337,841925,855577,869375,883115,897031,911225,925565,939981,954247,968805,983594,998432,1013373,1028425,1043560,1058867,1074393,1090110,1106036,1121901,1138052,1153985,1170202,1186585,1203197,1219628,1236542,1253491,1270680,1287750,1305291,1322909,1340670,1358877,1377237,1395523,1414025,1432419,1450990,1469755,1488694,1507670,1526781,1546058,1565409,1584937,1604696,1624479,1644597,1664827,1685438,1705668,1726464,1747354,1768337,1789401,1810978,1832553,1854272,1876137,1898267,1920421,1942610,1965064,1987760,2010326,2033318,2056358,2079315,2102482,2125585,2148942,2172545,2195843,2219730,2243673,2267642,2291777,2315908,2340186,2364424,2388702,2413126,2437663,2462010,2486771,2511318,2536260
1,1,1,4,5,6,6,7,7,8,8,9,9,10,11,17,19,21,23,25,27,27,29,31,34,34,41,47,49,58,61,68,71,75,80,89,97,103,114,120,128,143,151,156,164,174,187,194,206,219,230,244,250,259,273,283,299,306,313,332,348,367,380,390,407,422,441,463,478,493,503,526,545,557,569,585,595,611,619,635,648,666,674,691,701,714,720,734,739,748,758,766,774,781,789,796,808,819,826,839,845,850,857,863,867,874,879,882,885,889,895,906,912,917,924,933,941,946,952,964,972,981,1001,1012,1019,1030,1042,1052,1062,1079,1095,1111,1123,1135,1152,1169,1181,1202,1221,1233,1251,1273,1289,1302,1325,1350,1368,1388,1412,1437,1463,1483,1505,1529,1549,1572,1598,1629,1654,1680,1715,1738,1758,1787,1815,1844,1875,1912,1941,1976,2010,2042,2074,2094,2128,2164,2197,2229,2254,2293,2315,2346,2369,2394,2424,2447,2474,2508,2538,2571,2597,2628,2658,2674,2702,2731,2766,2800,2836,2866,2897,2925,2965,3004,3046,3077,3114,3150,3187,3230,3277,3320,3367,3418,3472,3518,3565,3609,3662,3707,3771,3828,3890,3947,4008,4075,4149,4217,4287,4350,4421,4502,4564,4646,4717,4793,4865,4946,5043,5135,5216,5289,5360,5440,5511,5586,5657,5752,5830,5891,5962,6037,6108,6183,6251,6323,6393,6469,6534,6614,6667,6749,6822,6895,6986,7057,7164,7258,7345,7434,7533,7653,7766,7853,7966,8089,8212,8320,8442,8587,8722,8848,8992,9112,9249,9363,9495,9648,9806,9939,10097,10286,10450,10611,10797,10986,11159,11390,11603,11812,12057,12280,12488,12717,12947,13218,13473,13749,14015,14286,14592,14888,15176,15463,15750,16035,16320,16646,16978,17320,17655,18044,18389,18755,19143,19567,20006,20427,20910,21436,21946,22470,23016,23607,24165,24763,25341,25970,26593,27218,27849,28450,29093,29792,30448,31134,31855,32683,33511,34358,35193,36092,36984,37901,38904,39922,40935,41958,42996,44096,45160,46285,47399,48464,49536,50563,51668,52773,53876,54995,56116,57228,58368,59516,60692,61882,63033,64143,65320,66558,67854,69188,70413,71715,73012,74353,75728,77022,78499,79966,81495,83033,84469,86009,87567,89258,90931,92677,94395,96146,97937,99710,101552,103341,105257,107160,109125,111052,113039,115045,117036,119115,121271,123333,125499,127655,129875,132096,134422,136872,139359,141900,144447,147028,149627,152266,154926,157724,160650,163587,166570,169646,172769,175884,179087,182257,185538,188954,192368,195744,199146,202684,206161,209709,213432,217003,220630,224381,228186,232019,235966,239979,243982,248137,252418,256786,261320,265932,270438,275065,279760,284631,289494,294418,299551,304608,309801,314904,320377,325702,331079,336649,342291,348065,353855,359844,365877,371968,378066,384351,390766,397059,403590,410202,416873,423826,430904,438195,445463,452721,460331,468039,475790,483553,491633,499787,508117
1,1,1,1,1,1,1,1,4,4,4,5,7,7,11,16,17,19,19,22,30,39,47,49,51,56,62,67,77,82,84,88,96,103,108,115,118,124,132,137,140,143,149,152,158,162,163,168,172,178,179,184,188,192,197,197,200,202,203,206,211,213,216,219,220,221,225,225,228,235,239,243,249,254,255,257,261,266,270,270,272,278,284,285,287,296,301,305,307,311,313,319,325,333,335,339,341,348,352,354,354,357,359,362,367,371,373,377,378,378,380,385,387,389,396,401,402,407,411,411,419,421,422,424,427,433,436,437,440,442,445,447,450,455,462,467,475,480,484,489,494,506,513,519,529,539,554,563,574,587,597,604,608,621,639,660,676,701,724,758,797,826,865,916,982,1033,1100,1178,1253,1342,1452,1568,1675,1764,1852,1938,2036,2134,2222,2330,2429,2516,2602,2675,2749,2841,2903,2985,3064,3141,3219,3298,3362,3435,3497,3570,3639,3724,3802,3884,3966,4060,4149,4224,4306,4390,4472,4564,4666,4754,4836,4929,5017,5109,5195,5276,5371,5482,5607,5758,5890,6008,6121,6250,6406,6552,6701,6858,7019,7174,7312,7488,7658,7821,7966,8136,8321,8506,8691,8907,9105,9287,9491,9701,9911,10114,10314,10541,10771,11012,11237,11457,11713,11945,12184,12482,12731,12964,13259,13517,13768,14041,14311,14604,14877,15137,15444,15706,15968,16230,16498,16763,17047,17310,17611,17942,18226,18560,18845,19126,19460,19776,20070,20362,20694,20998,21324,21646,21988,22342,22670,23034,23371,23728,24075,24490,24869,25266,25650,26033,26453,26885,27304,27739,28160,28580,29005,29439,29911,30375,30878,31349,31800,32246,32746,33210,33709,34229,34737,35236,35762,36293,36834,37336,37902,38474,39056,39662,40277,40911,41589,42244,42923,43632,44324,45057,45768,46504,47213,47942,48750,49493,50269,51055,51914,52753,53591,54438,55375,56298,57279,58268,59314,60332,61332,62411,63451,64527,65594,66609,67649,68685,69733,70798,71820,72886,73979,75084,76198,77340,78468,79594,80750,81944,83102,84261,85450,86656,87860,89081,90363,91602,92963,94315,95711,97112,98496,99934,101398,102881,104335,105896,107345,108953,110601,112384,114178,116056,117925,119845,121767,123822,125883,127942,130123,132405,134798,137120,139521,141929,144537,147031,149492,152031,154605,157313,160039,162699,165360,168090,170984,173835,176820,179715,182745,185792,188977,192077,195270,198611,201908,205289,208705,212219,215624,219134,222590,226157,229774,233328,237058,240747,244434,248422,252426,256378,260434,264555,268738,273033,277374,281852,286371,290860,295535,300333,305021,310000,315117,320143,325439,330704,336175,341776,347345,352927,358911,364827,370997,377191,383352,389621,396170,402685,409186,415928,422758,429597,436660,443899,451213,458753,466313,474008,481643,489443,497285,505566,514063,522453,530824,539323,548106,556893,565908,575093,584370
1,1,2,3,4,5,6,7,9,11,14,14,14,18,20,21,24,25,29,31,33,35,40,45,52,56,58,63,64,67,77,82,89,93,97,99,105,109,114,117,120,124,128,134,138,140,148,150,154,156,160,161,166,169,174,175,177,179,181,182,183,185,187,188,192,193,195,197,198,200,204,205,206,206,211,213,217,220,220,220,220,221,223,224,224,226,228,232,233,234,235,237,239,243,244,248,249,251,255,259,263,268,271,275,278,282,288,292,294,298,305,305,310,316,323,325,328,337,340,345,346,347,350,350,353,357,358,359,361,363,363,367,369,373,375,378,380,381,383,385,386,388,390,394,397,397,398,403,407,414,416,420,423,430,432,433,437,443,445,445,447,449,456,461,465,473,474,476,479,486,493,503,506,512,519,529,536,542,551,562,565,571,578,589,599,607,612,615,620,627,638,648,657,662,673,680,688,697,706,713,719,734,745,753,768,779,789,801,816,827,839,854,869,886,899,916,931,948,960,972,990,1005,1024,1041,1065,1086,1109,1137,1167,1186,1204,1231,1261,1295,1323,1352,1399,1447,1476,1511,1553,1595,1643,1677,1715,1760,1808,1844,1877,1917,1950,2001,2045,2094,2137,2179,2226,2264,2297,2342,2383,2435,2475,2518,2567,2616,2668,2719,2774,2822,2878,2933,2985,3030,3077,3124,3172,3226,3282,3340,3407,3448,3503,3565,3618,3673,3730,3794,3865,3939,4003,4062,4146,4219,4292,4367,4450,4523,4632,4715,4817,4927,5023,5145,5250,5379,5504,5631,5771,5932,6093,6236,6391,6577,6755,6916,7118,7292,7482,7678,7877,8085,8293,8483,8721,8944,9157,9403,9599,9803,10027,10251,10498,10773,10993,11227,11475,11737,12002,12299,12578,12865,13167,13486,13825,14173,14502,14844,15247,15636,16010,16416,16827,17254,17654,18094,18556,18972,19447,19967,20521,20997,21556,22128,22731,23316,23941,24617,25306,26007,26655,27307,28022,28732,29443,30224,30963,31749,32512,33298,34116,34924,35760,36572,37318,38132,38946,39752,40593,41457,42312,43266,44244,45232,46230,47279,48356,49408,50506,51700,52814,54048,55217,56474,57752,59054,60393,61730,63036,64454,65910,67407,68914,70435,72038,73641,75255,77020,78709,80488,82280,84140,86053,88082,90037,92096,94325,96437,98683,100953,103380,105786,108240,110774,113305,115902,118684,121388,124118,126931,129912,132940,136016,138999,142204,145346,148551,151715,154994,158363,161770,165083,168555,172067,175628,179258,182992,186768,190584,194541,198619,202719,206780,211034,215365,219766,224304,228940,233570,238418,243380,248291,253368,258524,263772,269331,275011,280742,286593,292525,298736,305023,311389,318009,324533,331254,337837,344957,351942,359222,366595,374035,381535,389367,397094,405184,413476
1,1,1,1,1,1,1,2,5,8,9,9,10,11,13,13,17,18,24,25,26,29,33,35,40,48,52,56,59,60,62,66,74,79,83,84,88,90,98,103,114,123,139,148,157,165,169,177,179,185,199,202,212,219,231,242,246,252,258,263,272,279,285,291,298,300,306,311,319,323,328,336,341,343,356,366,376,386,395,402,409,417,423,427,431,435,444,455,465,476,482,488,503,509,513,527,532,538,548,559,566,574,588,600,609,618,624,633,641,649,659,670,678,690,704,714,729,745,763,777,786,800,820,837,854,867,887,902,925,942,961,984,1004,1029,1042,1066,1087,1107,1121,1137,1148,1166,1182,1204,1220,1252,1270,1284,1305,1317,1337,1348,1369,1384,1403,1418,1437,1457,1472,1489,1506,1524,1538,1553,1567,1581,1595,1616,1637,1646,1658,1681,1693,1709,1718,1744,1761,1782,1805,1818,1832,1853,1874,1904,1925,1948,1969,1995,2016,2038,2067,2092,2121,2143,2162,2183,2208,2240,2263,2284,2315,2341,2369,2402,2429,2452,2487,2525,2558,2600,2632,2656,2683,2719,2747,2785,2811,2832,2869,2903,2946,2972,3007,3041,3078,3107,3126,3158,3179,3212,3231,3256,3284,3304,3332,3357,3375,3400,3421,3442,3461,3494,3521,3541,3564,3594,3616,3639,3678,3723,3746,3783,3817,3849,3882,3912,3963,4001,4057,4096,4145,4196,4253,4304,4358,4404,4469,4534,4610,4677,4758,4840,4924,4998,5076,5151,5225,5317,5394,5469,5551,5640,5731,5823,5912,5986,6105,6218,6317,6423,6538,6648,6754,6868,6967,7087,7187,7281,7406,7499,7601,7704,7813,7935,8054,8175,8329,8472,8596,8720,8874,9014,9170,9330,9491,9636,9783,9951,10166,10361,10566,10759,10964,11179,11399,11652,11914,12201,12513,12779,13028,13359,13713,14063,14412,14749,15109,15486,15863,16266,16688,17091,17505,17914,18372,18807,19258,19668,20138,20578,21032,21493,21996,22443,22884,23355,23814,24312,24789,25322,25810,26285,26814,27328,27884,28454,28982,29547,30150,30771,31401,32058,32717,33413,34061,34788,35492,36184,36951,37696,38466,39167,39920,40698,41475,42259,43036,43838,44659,45443,46211,47000,47901,48775,49676,50587,51542,52521,53513,54542,55573,56614,57653,58753,59930,61076,62271,63487,64787,66019,67354,68762,70123,71484,72923,74351,75804,77360,78886,80395,81915,83513,85141,86817,88425,90158,91936,93803,95625,97547,99535,101543,103617,105687,107913,110194,112405,114625,116954,119394,121811,124365,126839,129409,132002,134577,137212,139873,142641,145473,148365,151371,154529,157717,160885,164117,167388,170817,174328,177688,181210,184824,188398,191935,195687,199387,203107,206893,210668,214477,218639,222790,226934,231217,235664,240234,244769,249376,253911,258636,263486,268462,273301,278445,283639,288835,294215,299672,305040,310666,316263,322036,327797,333804,339816,345772,352099
1,1,1,1,1,5,7,7,7,8,9,10,10,13,15,16,18,19,19,21,21,24,25,31,34,37,38,40,42,50,57,62,70,75,85,92,94,101,107,110,117,122,126,129,135,141,145,150,156,161,167,174,176,180,187,195,210,220,226,232,242,257,273,281,295,312,331,349,362,375,388,410,432,448,463,485,503,519,538,562,580,592,616,632,647,662,679,690,701,716,730,743,751,770,780,793,807,820,839,852,862,876,894,908,922,933,942,952,965,975,988,997,1018,1029,1042,1054,1067,1073,1084,1096,1104,1121,1136,1154,1172,1178,1190,1206,1225,1247,1263,1284,1300,1312,1325,1340,1362,1381,1394,1408,1421,1442,1460,1476,1491,1504,1519,1532,1554,1570,1580,1600,1616,1631,1655,1686,1711,1742,1782,1822,1855,1890,1934,2000,2075,2167,2274,2395,2515,2627,2762,2872,2985,3102,3224,3325,3440,3545,3648,3739,3833,3913,3990,4084,4149,4225,4288,4367,4433,4520,4595,4665,4727,4789,4846,4906,4980,5032,5091,5152,5212,5256,5312,5368,5419,5482,5537,5590,5643,5702,5749,5803,5869,5912,5956,6005,6045,6106,6162,6224,6284,6336,6423,6498,6550,6619,6700,6777,6848,6914,6991,7074,7147,7228,7327,7400,7496,7589,7672,7758,7852,7942,8028,8127,8221,8312,8396,8473,8554,8647,8748,8836,8946,9052,9144,9246,9326,9428,9543,9645,9747,9863,9960,10072,10182,10315,10444,10575,10707,10846,10988,11160,11301,11452,11591,11714,11847,12016,12194,12340,12518,12675,12857,13014,13189,13361,13535,13723,13914,14092,14278,14450,14631,14817,14997,15186,15414,15625,15814,15995,16215,16456,16670,16864,17083,17315,17562,17805,18040,18281,18553,18820,19091,19364,19647,19908,20223,20553,20864,21204,21500,21829,22167,22497,22836,23209,23575,23983,24411,24807,25227,25643,26065,26498,26972,27440,27933,28474,29034,29615,30230,30809,31403,32002,32659,33329,33956,34581,35242,35902,36569,37223,37942,38632,39302,39949,40617,41334,42134,42883,43628,44379,45154,45965,46780,47656,48529,49442,50410,51425,52412,53422,54494,55432,56486,57586,58689,59821,60999,62167,63449,64763,66117,67463,68799,70272,71691,73188,74641,76145,77714,79303,80866,82651,84397,86165,88107,89989,91948,93891,95952,97946,99958,102130,104276,106492,108782,111081,113483,115893,118287,120732,123355,125961,128580,131182,133907,136680,139531,142367,145313,148302,151279,154323,157355,160599,163897,167204,170697,174136,177694,181258,184898,188684,192461,196392,200316,204422,208597,212833,217051,221233,225419,229820,234185,238746,243295,247840,252468,257250,261996,266710,271562,276560,281683,286870,292152,297474,302892,308325,313790,319379,324907,330691,336418,342196,347972,353919,360049,366274,372673,379114,385683,392366,399159,406110,413016,420100,427251,434477,442037,449333,456718,464389,472367,480291,488444,496768,505064,513272,521933,530553,539365,548207,557046,566106,575118
1,1,1,1,2,2,4,5,5,7,9,10,12,13,16,20,22,24,25,27,28,30,33,34,38,42,46,51,55,57,63,67,73,76,80,85,93,106,113,117,128,133,136,143,152,160,163,167,175,182,191,199,210,219,224,239,242,250,257,267,281,291,302,317,325,334,342,348,367,382,395,408,433,456,476,499,517,534,562,589,629,659,695,739,763,794,826,860,888,929,966,1000,1048,1082,1113,1150,1183,1215,1253,1289,1320,1360,1385,1415,1443,1471,1506,1538,1574,1600,1628,1655,1691,1715,1754,1786,1818,1846,1902,1949,1984,2018,2057,2103,2150,2202,2250,2299,2351,2412,2474,2551,2607,2675,2736,2789,2847,2911,2975,3041,3088,3159,3218,3272,3330,3391,3463,3521,3580,3643,3707,3765,3833,3896,3979,4041,4117,4196,4275,4365,4449,4543,4654,4764,4858,4961,5051,5145,5274,5393,5493,5613,5730,5875,6021,6170,6350,6541,6730,6953,7125,7333,7505,7729,7910,8127,8336,8565,8773,8962,9145,9329,9535,9728,9922,10124,10350,10518,10685,10903,11059,11240,11450,11644,11841,12048,12245,12442,12648,12862,13137,13406,13678,13948,14243,14516,14808,15082,15382,15674,15975,16279,16634,16954,17281,17608,17922,18269,18628,18949,19320,19706,20047,20402,20728,21104,21480,21834,22168,22531,22917,23264,23592,23904,24260,24566,24922,25232,25593,25927,26266,26585,26931,27271,27587,27926,28255,28583,28887,29207,29504,29805,30131,30474,30794,31135,31472,31785,32127,32508,32900,33286,33638,34021,34389,34778,35152,35539,35972,36409,36818,37271,37740,38244,38703,39148,39644,40136,40641,41155,41652,42150,42689,43226,43721,44246,44795,45337,45918,46491,47132,47737,48350,48975,49670,50341,51082,51797,52482,53220,53958,54687,55421,56179,56939,57675,58455,59229,60071,60938,61838,62763,63646,64571,65526,66508,67519,68531,69589,70642,71722,72875,74032,75252,76448,77700,78925,80200,81497,82784,84163,85563,86969,88488,89915,91394,92914,94461,96056,97713,99384,101143,102910,104669,106589,108479,110420,112449,114501,116513,118634,120738,122971,125237,127509,129833,132191,134584,137068,139600,142176,144736,147494,150244,152995,155886,158793,161769,164763,167962,171107,174286,177536,180980,184370,187826,191238,194751,198511,202248,205962,209788,213618,217436,221285,225331,229507,233824,238179,242613,246999,251595,256240,260913,265634,270260,275033,280047,285014,290058,295206,300609,306071,311439,316953,322529,328488,334487,340631,346809,352984,359424,365941,372595,379248,385899,392678,399490,406214,413232,420465,427743,435116,442528,450235,458009,465897,473598,481618,489687,497981,506323,514870,523399,532099,540777,549881,559111,568461,577986,587496,597288,607177,616968,627056,637186,647559,657924,668349,678811,689427,700118,711118,722046,733068,744369,755697,767176,778805,790509,802187,814165,826241,838377,850582,862717,874943,887408,900065,912609,925167,938064,951085,964151,977386,990685,1004282,1017898,1031593,1045426,1059647,1073804,1088160,1102894,1117594,1132412,1147558
1,1,1,1,1,2,2,2,5,6,7,10,10,12,17,18,23,26,28,29,30,32,35,37,37,39,43,46,50,52,60,62,62,66,72,76,79,85,90,96,101,105,108,111,114,126,128,136,142,148,155,163,177,187,195,200,211,221,228,237,251,265,282,297,310,327,343,360,382,414,443,479,518,554,576,611,639,669,698,732,761,800,837,866,891,915,945,964,979,1003,1024,1047,1071,1100,1130,1143,1168,1193,1216,1238,1261,1278,1298,1320,1339,1356,1373,1393,1406,1434,1449,1468,1493,1516,1535,1554,1587,1611,1651,1690,1719,1750,1778,1814,1865,1908,1956,2023,2063,2125,2191,2239,2303,2368,2420,2485,2544,2603,2667,2734,2796,2856,2925,2984,3045,3101,3176,3223,3269,3321,3378,3440,3491,3546,3605,3665,3721,3769,3827,3882,3948,4022,4094,4170,4247,4325,4404,4486,4560,4637,4739,4823,4899,4984,5061,5145,5235,5324,5426,5527,5636,5770,5873,5989,6119,6255,6384,6509,6655,6801,6945,7097,7235,7363,7508,7637,7793,7950,8102,8255,8416,8571,8717,8872,9043,9256,9424,9593,9766,9961,10190,10398,10615,10846,11064,11294,11550,11796,12066,12301,12535,12805,13070,13318,13605,13875,14151,14456,14753,15056,15366,15682,15976,16284,16575,16910,17285,17585,17901,18253,18591,18941,19295,19646,20011,20402,20744,21123,21505,21901,22313,22718,23139,23516,23928,24369,24770,25214,25658,26101,26529,26989,27454,27934,28418,28923,29390,29942,30461,30974,31484,32023,32565,33100,33676,34189,34735,35254,35805,36338,36902,37518,38072,38672,39275,39916,40531,41203,41899,42591,43280,43976,44639,45326,46015,46814,47597,48321,49061,49816,50625,51431,52261,53096,53946,54796,55625,56479,57358,58276,59295,60284,61344,62343,63422,64528,65711,66933,68104,69455,70793,72264,73722,75105,76625,78157,79695,81267,82832,84423,86087,87737,89418,91105,92811,94636,96526,98460,100487,102502,104593,106776,109102,111466,113821,116228,118673,121135,123719,126310,128866,131517,134204,136956,139679,142432,145269,148191,151282,154297,157409,160536,163683,166795,170038,173181,176512,179832,183226,186719,190336,194024,197754,201427,205243,209054,213010,217085,221142,225328,229589,233802,238236,242747,247378,251859,256471,261213,265872,270701,275544,280432,285430,290531,295539,300586,305834,311076,316376,321619,327037,332551,338052,343612,349376,355012,360778,366624,372630,378836,385052,391310,397753,404275,411093,417846,424687,431582,438687,446079,453524,461108,468922,476704,484724,492975,501341,509835,518404,527163,535972,544964,553829,563066,572254,581760,591337,601088,610640,620458,630667,640641,650835,661291,671856,682492,693582,704558,715722,727216,738573,750064,761861,773739,785767,798087,810316,822790,835566,848214,861078,874067,887388,900505,913740,927334,941093,955163,969146,983394,998101,1012740,1027426,1042188,1057266,1072623,1087849,1103314,1119193,1135310,1151509,1167811,1184439,1201278,1218410,1235512,1252944,1270357,1287971,1305894,1323859,1341839,1359757,1378262,1396899,1415595,1434039
1,1,1,1,1,1,1,2,4,4,5,9,9,9,10,11,11,13,13,13,14,15,20,23,26,29,36,39,41,45,48,51,53,58,67,73,77,83,90,94,98,99,105,116,121,126,133,138,144,149,153,159,161,165,169,173,176,178,187,194,198,204,210,214,223,231,243,248,258,269,274,284,293,304,314,325,332,348,362,371,388,400,415,423,438,461,483,511,535,559,578,597,621,643,662,680,709,727,746,766,785,807,830,853,882,903,933,963,985,1004,1040,1082,1113,1157,1201,1247,1291,1338,1395,1448,1490,1548,1611,1679,1727,1792,1853,1911,1978,2033,2104,2161,2222,2291,2349,2408,2474,2562,2634,2712,2808,2892,2995,3101,3205,3306,3417,3543,3655,3776,3882,4005,4137,4260,4390,4516,4640,4775,4914,5065,5211,5358,5509,5675,5835,5997,6149,6316,6474,6612,6768,6934,7097,7270,7433,7600,7746,7903,8064,8210,8341,8501,8648,8806,8968,9138,9289,9466,9638,9854,10038,10255,10463,10675,10897,11133,11339,11561,11827,12107,12324,12580,12868,13153,13432,13697,14015,14302,14626,14936,15270,15602,15967,16288,16642,17006,17361,17733,18104,18499,18893,19236,19610,19957,20321,20703,21083,21481,21915,22344,22785,23198,23623,24037,24503,24909,25397,25860,26359,26850,27335,27851,28380,28915,29432,29979,30498,31064,31642,32214,32771,33372,34003,34588,35173,35775,36356,37010,37620,38272,38924,39595,40307,40971,41708,42440,43162,43940,44741,45554,46384,47180,48067,48940,49829,50773,51650,52585,53590,54635,55655,56688,57769,58898,59937,61099,62285,63430,64611,65840,66999,68260,69508,70810,72104,73515,74908,76300,77692,79144,80609,82086,83533,85085,86596,88161,89764,91445,93145,94919,96777,98594,100487,102455,104404,106378,108326,110369,112428,114613,116821,118945,121012,123229,125481,127734,130065,132443,134785,137137,139459,141917,144377,146887,149420,152028,154612,157203,159811,162447,165105,167825,170650,173514,176339,179178,182094,184997,188073,191090,194350,197540,200786,204211,207582,211039,214428,217921,221531,225105,228787,232520,236291,240112,244057,247914,251888,255883,259874,264028,268171,272420,276815,281212,285872,290382,294967,299731,304506,309462,314303,319153,324136,329134,334210,339448,344743,350121,355613,361084,366560,372245,378057,383737,389689,395661,401719,407898,414193,420572,427017,433562,440217,447022,453933,460712,467710,474932,482052,489494,496804,504570,512146,520019,527862,535757,544007,552052,560279,568492,576971,585493,594067,602737,611833,620997,630157,639730,649252,658968,669013,679132,689359,699709,710027,720476,730989,741813,752736,763797,775171,786629,798296,810273,822379,834416,846682,858870,871222,883760,896423,909349,922305,935405,948816,962049,975521,989351,1003090,1017367,1031583,1045903,1060597,1075336,1090275,1105369,1120564,1135762,1151332,1166681,1182262,1197928,1213840,1230026,1246267,1262645,1279608,1296343,1313146,1330522,1347925,1365480,1383200,1401159,1419297,1437612,1455953,1474570,1493441,1512405,1531325,1550723,1570209,1589830,1609667,1629684,1650073
1,1,2,4,7,8,10,12,12,15,20,20,22,22,22,23,27,28,32,34,34,37,38,42,44,45,47,49,49,50,52,55,56,61,66,70,73,74,79,82,85,86,87,91,94,97,103,107,109,110,113,118,122,126,130,130,133,135,138,140,147,152,157,158,160,165,173,178,181,182,184,186,188,193,197,200,202,205,215,227,234,242,248,254,257,259,265,269,277,285,291,304,312,319,333,339,343,354,361,374,384,394,406,418,427,438,448,466,487,495,518,533,543,553,565,576,591,603,620,639,655,669,688,707,717,726,741,757,775,802,823,851,885,913,934,964,1000,1030,1062,1093,1118,1146,1173,1196,1218,1252,1274,1294,1313,1344,1367,1402,1424,1451,1471,1497,1511,1543,1579,1596,1620,1646,1665,1687,1718,1733,1754,1777,1813,1856,1897,1933,1973,2002,2034,2068,2115,2161,2205,2238,2283,2334,2373,2432,2481,2546,2592,2649,2702,2761,2825,2892,2953,3014,3071,3139,3185,3241,3310,3367,3441,3498,3564,3646,3729,3803,3874,3944,4013,4074,4155,4231,4310,4407,4488,4586,4676,4753,4850,4947,5033,5121,5215,5322,5424,5529,5627,5714,5825,5924,6026,6120,6215,6306,6400,6496,6604,6700,6811,6925,7042,7183,7301,7436,7560,7692,7816,7932,8056,8170,8300,8452,8554,8695,8818,8960,9102,9225,9373,9522,9678,9822,9983,10143,10302,10476,10639,10810,10995,11163,11361,11541,11735,11966,12204,12417,12653,12887,13126,13354,13599,13846,14112,14348,14594,14856,15116,15395,15671,15914,16200,16474,16768,17032,17303,17596,17878,18211,18575,18925,19328,19707,20072,20494,20908,21300,21739,22195,22617,23081,23521,24004,24466,24942,25420,25945,26451,26932,27406,27892,28387,28915,29443,29993,30517,31057,31589,32177,32736,33287,33857,34453,35052,35649,36276,36956,37633,38315,39041,39751,40544,41244,42055,42831,43601,44430,45290,46203,47054,48012,48989,49984,50973,51932,52985,54097,55186,56329,57506,58720,59878,61044,62313,63588,64847,66136,67441,68792,70168,71572,72964,74371,75919,77478,79065,80654,82299,83943,85590,87300,89043,90806,92543,94332,96163,98106,100070,102014,104071,106119,108246,110548,112710,114892,117194,119587,122028,124562,127170,129875,132597,135479,138409,141337,144333,147321,150432,153578,156765,159909,163181,166541,169800,173253,176766,180340,183875,187542,191355,195170,199044,202953,207023,211211,215541,219811,224254,228909,233586,238210,242946,247740,252550,257447,262534,267633,272590,277697,282906,288063,293349,298755,304096,309561,315063,320607,326235,332134,338053,343953,350063,356150,362251,368585,374857,381315,387934,394614,401538,408336,415467,422779,430109,437498,445050,452664,460450,468290,476146,484274,492519,500844,509379,517961,526688,535488,544399,553291,562561,571755,581054,590580,600319,610253,620369,630784,641126,651663,662268,673083,683969,695122,706403,717797,729492,741225,753337
1,1,1,3,4,4,4,5,6,8,11,12,14,15,15,16,17,17,17,20,22,26,31,37,40,42,46,53,56,61,64,67,69,75,79,83,87,94,100,103,108,110,117,124,127,131,142,146,151,161,165,171,177,184,189,200,210,218,226,235,245,258,267,274,281,291,297,306,317,329,345,359,367,374,387,397,407,418,434,448,462,477,493,511,530,549,567,588,599,617,630,642,663,686,706,727,752,774,802,818,846,861,880,900,919,942,964,987,1006,1026,1047,1065,1089,1123,1147,1179,1205,1226,1254,1275,1296,1331,1362,1386,1410,1437,1456,1493,1509,1533,1564,1592,1633,1660,1694,1735,1766,1798,1830,1860,1890,1921,1958,1989,2028,2072,2118,2144,2180,2217,2254,2285,2329,2368,2413,2469,2519,2567,2629,2678,2737,2802,2859,2921,2981,3059,3127,3195,3261,3326,3418,3505,3582,3659,3738,3829,3925,4015,4122,4209,4296,4404,4507,4636,4723,4822,4955,5071,5192,5310,5433,5562,5681,5795,5923,6027,6155,6305,6450,6601,6744,6887,7030,7184,7328,7470,7630,7786,7943,8104,8283,8463,8654,8858,9081,9301,9531,9798,10053,10307,10578,10874,11177,11488,11768,12078,12424,12775,13121,13492,13888,14258,14655,15072,15461,15873,16280,16686,17055,17460,17867,18294,18687,19116,19537,19970,20389,20852,21354,21833,22340,22848,23354,23870,24386,24928,25493,26051,26674,27317,27976,28604,29247,29908,30593,31308,32037,32762,33479,34202,34929,35620,36360,37114,37849,38677,39460,40220,41106,41976,42817,43640,44477,45339,46251,47173,48147,49139,50175,51191,52210,53261,54391,55494,56591,57704,58879,60099,61301,62504,63786,65025,66297,67566,68915,70241,71579,72918,74386,75845,77316,78815,80278,81823,83335,84841,86401,88000,89718,91409,93125,94897,96727,98578,100511,102484,104501,106475,108525,110599,112808,114938,117166,119407,121654,123849,125989,128362,130727,133065,135450,137851,140411,142967,145599,148363,151157,153831,156658,159549,162553,165607,168662,171751,174754,177798,181033,184224,187409,190729,194031,197531,200977,204485,208088,211712,215435,219281,223070,226954,230781,234762,238757,242835,247016,251185,255542,259820,264247,268750,273430,278199,282979,287707,292686,297634,302578,307629,312954,318170,323377,328741,334264,339867,345446,351050,356886,362628,368667,374773,381070,387402,393786,400364,406819,413485,420162,426971,434152,441331,448727,456333,463958,471709,479588,487518,495690,503970,512448,520732,529137,537791,546486,555288,564207,573256,582360,591649,600845,610186,619676,629295,638951,648741,658683,668657,678830,689189,699866,710601,721259,732003,742842,754021,765291,776600,788205,799976,811832,823746,836070,848409,860923,873315,886197,899244,912238,925433,938819,952594,966354,980452,994486,1008889,1023474,1038278,1053381,1068489,1083709,1099247,1114999,1130890,1146753,1162906,1179359,1196018,1212824,1229731,1246727,1264082,1281276,1298558,1316147,1333616,1351462,1369565,1387814,1406023,1424296,1442631,1461303,1480049,1499113,1517926,1536973,1556171,1575727
1,1,1,1,1,1,1,1,1,1,1,3,4,4,5,5,5,5,5,5,6,8,10,11,13,16,20,21,23,27,31,36,41,44,48,54,58,63,70,84,91,102,106,116,123,133,140,151,161,171,175,188,197,204,211,223,227,239,246,252,261,268,274,283,289,295,307,318,329,340,348,360,366,373,380,386,390,403,412,421,431,440,447,453,459,465,473,479,487,494,497,506,512,514,519,525,529,537,540,543,550,553,555,558,562,567,569,570,573,576,580,584,595,603,606,615,621,625,636,641,651,660,674,681,700,710,723,738,763,782,808,839,876,896,939,982,1014,1063,1106,1154,1195,1242,1279,1330,1383,1424,1470,1531,1609,1678,1762,1847,1915,1978,2033,2088,2175,2259,2328,2388,2474,2554,2634,2727,2817,2889,2968,3045,3147,3227,3312,3401,3501,3605,3724,3844,3981,4120,4241,4357,4494,4648,4817,4989,5157,5355,5559,5749,5948,6150,6353,6552,6795,7028,7264,7502,7737,8003,8222,8470,8758,9029,9326,9658,9973,10319,10701,11072,11478,11873,12284,12703,13143,13567,13976,14419,14899,15395,15882,16427,16913,17482,18042,18588,19171,19733,20298,20870,21410,22016,22602,23186,23790,24391,25027,25691,26361,27032,27732,28406,29114,29837,30543,31260,31952,32627,33322,34023,34762,35506,36226,36914,37568,38292,39018,39761,40455,41160,41880,42596,43312,44020,44740,45497,46293,47039,47821,48591,49376,50161,50933,51771,52668,53498,54408,55282,56218,57147,58091,59062,59992,61027,62067,63120,64195,65299,66451,67523,68648,69893,71100,72354,73558,74800,76053,77389,78781,80184,81747,83261,84752,86289,87862,89493,91199,92879,94701,96513,98390,100337,102292,104279,106182,108210,110260,112367,114403,116495,118610,120751,122940,125130,127265,129447,131610,133904,136232,138633,141043,143457,146015,148552,151106,153756,156615,159405,162269,165122,168070,171183,174420,177668,180902,184270,187706,191243,194756,198297,202081,205889,209758,213675,217664,221693,225833,230034,234388,238805,243395,248037,252833,257640,262706,267850,273059,278241,283544,288965,294417,300049,305801,311613,317629,323746,329951,336288,342456,349004,355682,362361,369193,376132,382958,389884,396846,404020,411453,418907,426442,434002,441823,449597,457567,465558,473767,482231,490672,499375,508074,516793,525775,534874,543960,553290,562791,572298,582082,591892,601727,611762,621851,631976,642291,652801,663408,674016,684869,696041,706980,718305,729593,740893,752426,763948,775670,787393,799436,811594,824052,836689,849266,861858,874695,887632,900649,913781,926955,940193,953748,967561,981329,995259,1009490,1023656,1038212,1052493,1067118,1082047,1097095,1112527,1127556,1142823,1158550,1174353,1190116,1206272,1222996,1239633,1256187,1273050,1290078,1306865,1324050,1341292,1358757,1376292,1393850,1411541,1429522,1447998,1466363,1484901,1503463,1521922,1541091,1560320,1579638,1599042,1618589,1638639,1658202,1678362,1698658,1719306,1740066,1760615,1781360,1802294,1823530,1844977,1866080,1887473,1909315,1931237,1953218,1975447,1997729
1,1,1,1,3,4,4,4,5,6,8,8,8,9,10,10,10,10,10,11,11,13,16,19,20,25,26,28,30,32,33,36,39,41,47,49,53,58,65,69,75,79,82,84,88,96,101,107,117,120,127,135,138,139,141,144,150,156,161,164,169,176,178,185,198,203,209,217,222,228,238,244,253,263,265,273,278,284,294,301,317,324,329,337,343,349,364,376,382,395,402,404,413,421,442,452,460,471,477,486,497,507,515,522,524,533,542,547,556,574,585,593,603,615,634,648,668,686,695,703,716,734,743,762,774,793,796,812,823,834,848,871,890,903,915,938,944,957,968,979,985,997,1012,1020,1031,1041,1057,1064,1077,1089,1107,1119,1134,1146,1159,1170,1185,1197,1206,1212,1222,1235,1249,1270,1283,1296,1319,1329,1343,1360,1383,1406,1434,1462,1481,1506,1537,1561,1588,1622,1645,1687,1719,1752,1789,1833,1876,1905,1940,1999,2046,2086,2123,2167,2223,2264,2316,2391,2462,2548,2627,2697,2761,2840,2927,3029,3124,3232,3327,3429,3541,3645,3752,3881,3990,4124,4243,4355,4482,4642,4772,4915,5063,5216,5396,5581,5781,5959,6144,6328,6522,6736,6935,7193,7429,7674,7935,8200,8459,8716,8997,9275,9549,9890,10197,10467,10801,11068,11363,11679,11994,12342,12692,13007,13326,13693,14071,14431,14798,15205,15595,16025,16473,16911,17382,17825,18259,18745,19254,19804,20262,20788,21322,21963,22587,23195,23768,24346,24994,25595,26220,26902,27584,28273,28955,29714,30464,31291,32081,32867,33667,34524,35427,36385,37339,38325,39292,40337,41390,42466,43594,44647,45847,47104,48309,49519,50731,51962,53259,54563,55926,57353,58717,60183,61673,63284,64950,66666,68417,70335,72191,74103,76097,78167,80242,82416,84546,86762,89038,91341,93642,96049,98528,100961,103430,105951,108595,111182,113756,116384,119111,121759,124486,127276,130041,132916,135859,138790,141796,144763,147870,151096,154243,157488,160832,164299,167765,171329,174870,178465,182191,185897,189714,193613,197721,201732,205752,209904,214095,218298,222527,226860,231309,235755,240241,244800,249497,254354,259111,264075,269080,274058,279238,284306,289537,294907,300249,305656,311359,317120,323038,328853,334699,340639,346703,352896,359258,365672,372056,378749,385523,392304,399042,406021,413114,420245,427623,434982,442447,449993,457714,465753,473724,481877,490091,498343,506840,515309,523899,532568,541448,550721,559910,569201,578733,588293,597903,607977,618042,628376,638766,649317,659940,670722,681603,692626,703898,715075,726532,737982,749821,761749,773659,785508,797553,809623,821979,834250,846651,859237,871984,884485,897437,910625,923942,937276,950640,964071,977626,991210,1005107,1019071,1033273,1047732,1062024,1076666,1091189,1105801,1120740,1135935,1151077,1166257,1181660,1197104,1212833,1228833,1244775,1261151,1277555,1293960,1310686,1327482,1344127,1360972,1377964,1395208,1412567,1430197,1447507,1465328,1483424,1501201,1518863,1536814,1554952,1573046,1591510
1,1,1,1,1,2,3,6,6,8,8,8,9,9,14,15,17,21,22,24,24,24,27,29,32,32,35,38,39,40,42,43,46,49,49,50,51,51,53,57,59,61,61,63,63,67,67,68,69,72,76,77,81,84,86,91,96,98,103,109,112,118,121,127,130,133,137,145,150,154,159,168,169,178,181,185,187,189,192,197,203,206,209,213,221,221,237,243,254,258,261,266,276,284,289,299,314,324,334,341,357,367,378,383,398,408,420,432,447,462,474,484,491,503,512,532,548,571,585,602,613,625,637,650,666,679,700,712,730,748,761,775,794,812,831,858,889,916,942,963,1002,1020,1045,1066,1099,1117,1145,1180,1210,1240,1258,1282,1324,1350,1375,1404,1450,1490,1533,1579,1641,1702,1769,1834,1923,2023,2127,2227,2330,2432,2517,2624,2714,2818,2900,2990,3080,3169,3231,3317,3399,3470,3530,3594,3653,3712,3783,3849,3904,3951,3997,4059,4134,4183,4233,4297,4344,4411,4451,4505,4561,4615,4664,4715,4763,4825,4888,4933,4987,5027,5086,5135,5180,5233,5274,5341,5386,5441,5483,5524,5575,5626,5681,5729,5776,5818,5875,5931,5996,6044,6088,6140,6197,6240,6313,6360,6429,6498,6568,6630,6691,6759,6818,6878,6948,7007,7061,7132,7191,7248,7310,7382,7442,7511,7590,7657,7731,7806,7866,7952,8051,8138,8210,8304,8404,8517,8619,8716,8843,8959,9069,9189,9328,9437,9576,9711,9858,9983,10144,10277,10402,10542,10712,10849,10998,11166,11344,11516,11714,11877,12056,12285,12523,12752,12976,13242,13470,13732,14021,14283,14590,14862,15139,15453,15760,16099,16398,16732,17084,17424,17770,18140,18558,18938,19367,19769,20220,20667,21149,21640,22195,22698,23261,23825,24429,25040,25682,26308,26964,27589,28299,28981,29681,30402,31175,31864,32556,33313,34019,34760,35531,36340,37110,37877,38727,39603,40466,41368,42234,43139,44053,44996,45978,46960,47935,48917,49995,50999,52043,53153,54257,55409,56616,57853,59107,60437,61772,63104,64429,65835,67237,68700,70152,71761,73396,75020,76613,78353,80110,81966,83877,85882,87898,89954,92073,94229,96455,98618,100997,103316,105714,108101,110455,112792,115248,117701,120235,122851,125448,128202,130840,133525,136179,138955,141721,144614,147523,150456,153488,156500,159534,162764,166000,169332,172680,176070,179454,182988,186625,190233,193910,197664,201492,205278,209070,212956,216775,220788,224890,229085,233305,237545,241862,246364,250805,255248,259896,264661,269516,274216,279315,284383,289397,294599,299843,305100,310582,316084,321655,327309,332901,338760,344536,350428,356498,362651,368813,375311,381849,388338,394898,401689,408440,415380,422399,429571,436814,444039,451293,458807,466308,474015,481586,489342,497398,505556,513574,522017,530650,539303,548065,556836,565728,574834,583987,593338,603007,612659,622628,632568,642528,652971,663158,673481,684391,695160,705936
1,1,1,2,3,3,3,5,5,5,9,13,15,16,17,19,20,20,20,20,20,20,23,25,27,28,33,33,39,45,47,50,54,64,69,76,83,89,95,100,102,113,119,126,139,149,155,166,173,182,189,201,212,216,229,238,246,253,260,266,276,285,298,310,322,333,349,360,369,374,380,394,404,425,437,450,467,477,490,501,512,526,540,548,571,579,596,610,632,650,668,687,703,726,744,762,778,799,814,826,841,861,878,892,915,937,960,992,1017,1039,1064,1088,1111,1139,1156,1188,1205,1224,1247,1265,1290,1315,1349,1373,1402,1439,1467,1493,1518,1542,1578,1601,1628,1660,1691,1721,1744,1774,1817,1845,1868,1897,1934,1974,2004,2039,2084,2114,2144,2186,2235,2265,2300,2337,2374,2421,2456,2485,2520,2563,2609,2649,2689,2736,2779,2828,2877,2927,2985,3030,3075,3114,3166,3222,3255,3308,3361,3413,3460,3501,3558,3617,3663,3711,3744,3785,3841,3894,3944,4013,4075,4115,4171,4232,4274,4339,4403,4486,4554,4626,4690,4768,4842,4932,5014,5106,5212,5288,5370,5457,5568,5678,5764,5859,5943,6058,6178,6288,6410,6549,6705,6862,6996,7145,7285,7469,7687,7888,8082,8337,8609,8871,9158,9480,9777,10117,10496,10825,11167,11519,11873,12227,12591,12989,13423,13829,14266,14671,15104,15555,15974,16408,16888,17380,17871,18353,18883,19375,19896,20475,21047,21590,22173,22791,23392,24052,24686,25336,26001,26724,27499,28232,28991,29770,30567,31401,32280,33138,34024,34864,35813,36718,37704,38590,39536,40507,41560,42519,43516,44497,45466,46479,47449,48528,49541,50565,51579,52575,53582,54663,55740,56856,57916,59013,60147,61338,62485,63661,64868,66097,67320,68524,69792,71109,72346,73676,74946,76275,77619,78940,80416,81693,83108,84541,85968,87402,88836,90324,91779,93322,94902,96381,97921,99533,101159,102798,104436,106150,107898,109708,111649,113544,115540,117460,119464,121474,123523,125640,127825,130045,132282,134557,136905,139217,141659,144098,146483,149040,151600,154278,156897,159605,162358,165109,167857,170654,173551,176491,179390,182426,185423,188467,191639,194803,197954,201200,204529,207933,211406,214759,218270,221844,225469,229204,232949,236682,240569,244514,248377,252445,256566,260633,264824,269188,273510,277988,282483,287076,291732,296560,301250,306116,311155,316106,321220,326444,331608,336814,342240,347486,352871,358447,364030,369639,375296,380949,386715,392579,398531,404592,410778,417106,423505,429736,436311,443131,449910,456892,463936,471099,478231,485394,492748,500231,507861,515490,523505,531606,539636,547820,556482,564976,573860,582697,591495,600562,609880,619393,628781,638403,648143,658228,668219,678265,688334,698427,708941,719502,730260,741231,752230,763451,774820,786329,797887,809755,821533,833499,845467,857862,870493,883061,895817,908539,921564,934645,948033,961536,975203,988910,1002960,1017256,1031476,1046050,1060474,1075212,1090137,1105274,1120333,1135632,1150880,1166505,1182232,1198023,1213776,1229935,1246277
1,1,1,1,1,1,1,1,2,3,3,3,5,5,5,7,10,11,12,13,14,16,18,23,24,27,30,34,37,45,49,51,55,60,66,70,75,85,90,97,105,110,111,116,124,133,138,144,148,158,166,174,183,195,200,212,222,234,245,264,273,287,306,320,334,348,360,374,400,416,442,466,486,513,532,555,578,610,635,662,689,710,735,764,797,835,867,904,933,972,1007,1052,1093,1121,1151,1187,1219,1256,1295,1328,1355,1384,1427,1452,1488,1526,1564,1597,1640,1679,1715,1764,1802,1844,1901,1947,2009,2051,2093,2152,2208,2262,2328,2389,2451,2517,2590,2661,2739,2800,2858,2932,3033,3121,3207,3291,3378,3459,3554,3624,3706,3790,3870,3957,4036,4113,4195,4276,4359,4437,4538,4634,4725,4827,4932,5015,5093,5173,5275,5372,5460,5543,5626,5735,5836,5953,6066,6168,6273,6379,6477,6578,6680,6795,6899,7011,7124,7223,7328,7448,7551,7668,7797,7904,8040,8159,8262,8390,8520,8642,8764,8900,9026,9172,9282,9435,9559,9689,9810,9951,10095,10233,10357,10490,10621,10742,10868,11005,11137,11276,11426,11571,11713,11857,12016,12158,12305,12461,12629,12780,12929,13087,13239,13402,13576,13735,13900,14046,14219,14378,14526,14727,14889,15076,15257,15442,15631,15814,15971,16140,16322,16511,16699,16897,17117,17312,17531,17741,17953,18150,18330,18552,18798,19030,19250,19494,19719,19965,20194,20448,20685,20907,21142,21381,21640,21917,22185,22436,22714,22977,23229,23539,23868,24199,24511,24850,25198,25553,25921,26325,26749,27172,27642,28127,28640,29146,29688,30283,30862,31485,32138,32808,33534,34299,34989,35761,36560,37401,38219,39049,39871,40673,41559,42413,43306,44153,45022,45915,46806,47749,48714,49610,50523,51472,52445,53521,54572,55660,56706,57843,59005,60191,61363,62576,63856,65196,66608,68013,69434,70801,72229,73607,75148,76674,78229,79721,81230,82825,84446,86006,87688,89285,90852,92511,94157,95864,97577,99361,101080,102807,104654,106387,108240,110231,112220,114209,116193,118170,120270,122378,124504,126629,128785,131042,133280,135547,137826,140177,142692,145094,147528,150062,152559,155152,157771,160356,162992,165777,168553,171269,174071,177020,180046,183036,186029,189130,192309,195494,198797,202181,205502,209063,212626,216198,219949,223830,227669,231542,235455,239373,243330,247386,251450,255540,259665,263881,268244,272678,277148,281658,286298,291002,295796,300641,305777,310969,316267,321534,326952,332491,338199,343812,349778,355824,361996,368155,374415,380747,387258,393732,400484,407424,414276,421187,428041,435161,442482,449771,457116,464754,472483,480319,488261,496294,504225,512403,520708,528938,537410,546043,554656,563462,572353,581544,590663,599868,609267,618767,628515,638349,648178,658296,668836,679237,689915,700523,711315,722416,733711,745103,756650,768345,780293,792439,804437,816797,829170,841797,854550,867587,880553,893777,907288,920817,934527,948011,961927,975926,990091,1004493,1019071,1033673,1048505,1063296,1078571,1093962,1109338
1,1,1,1,2,3,3,4,5,5,5,6,10,13,13,13,13,13,15,16,17,19,20,24,26,27,29,32,37,40,43,48,51,57,62,64,68,75,77,82,84,88,88,93,98,104,109,117,122,125,132,134,138,142,146,150,151,159,161,168,169,174,179,183,187,191,194,198,203,208,211,214,218,226,231,236,240,246,255,260,266,272,277,284,296,302,311,318,323,335,340,343,351,355,358,362,363,370,375,383,392,397,402,406,408,413,419,423,423,427,428,430,437,440,444,449,452,456,458,460,462,465,467,472,475,476,480,483,484,486,489,491,495,495,499,503,504,506,510,513,519,523,525,531,535,543,550,554,558,564,565,570,575,578,585,591,593,595,596,600,604,606,607,608,611,616,617,621,629,630,634,637,640,647,649,655,657,659,663,668,671,674,677,681,687,690,694,696,697,698,708,712,715,724,734,737,745,754,763,768,776,788,798,812,825,833,843,855,869,885,908,931,948,967,987,1012,1033,1061,1075,1093,1117,1138,1164,1196,1217,1233,1252,1275,1300,1321,1356,1384,1402,1422,1434,1449,1476,1502,1530,1550,1562,1580,1606,1627,1653,1679,1709,1745,1772,1796,1820,1846,1876,1903,1925,1958,1988,2024,2050,2085,2120,2149,2172,2200,2236,2259,2300,2342,2377,2399,2429,2480,2525,2567,2628,2672,2708,2756,2810,2869,2931,2992,3055,3134,3198,3267,3338,3415,3487,3552,3638,3707,3798,3882,3979,4050,4152,4258,4368,4470,4574,4700,4823,4946,5069,5216,5342,5470,5617,5768,5920,6072,6227,6372,6534,6689,6856,7028,7203,7379,7576,7793,7973,8171,8383,8563,8779,9011,9221,9474,9708,9957,10175,10406,10649,10888,11114,11345,11592,11865,12129,12392,12672,12938,13231,13532,13839,14140,14460,14785,15129,15492,15861,16234,16595,16958,17370,17813,18225,18640,19097,19570,20019,20463,20891,21360,21835,22350,22885,23417,23929,24415,24954,25544,26130,26714,27332,27971,28653,29284,29999,30688,31349,32064,32788,33560,34257,34942,35646,36399,37154,37871,38632,39396,40182,40974,41816,42617,43434,44307,45141,45990,46831,47661,48545,49428,50293,51199,52115,53026,53992,54890,55824,56819,57842,58893,59902,60934,62042,63257,64449,65735,66951,68213,69515,70859,72181,73541,74987,76484,77975,79520,81060,82667,84285,85939,87615,89317,91069,92945,94923,96916,98917,100978,103066,105196,107396,109744,112075,114517,117038,119630,122144,124647,127218,129867,132611,135372,138244,141098,143866,146847,149740,152724,155671,158659,161706,164795,167880,171076,174226,177285,180473,183662,186872,190242,193658,197013,200373,203761,207257,210827,214403,217978,221694,225375,229118,232909,236694,240572,244508,248558,252799,257012,261243,265644,270077
1,1,1,1,1,1,1,1,1,2,2,3,3,4,5,6,6,7,8,8,9,9,11,12,12,13,14,17,19,20,25,30,31,33,36,42,50,53,59,61,63,69,72,74,80,81,83,88,95,99,102,108,114,118,122,128,129,135,141,150,156,161,164,169,175,180,185,193,198,204,207,211,220,222,229,233,239,244,248,253,255,260,266,273,276,287,296,299,306,311,314,322,323,328,331,336,340,346,351,353,360,367,374,377,381,387,390,399,400,405,410,414,417,420,425,429,434,438,439,444,446,451,455,462,466,468,473,476,480,483,488,493,501,509,514,519,527,532,536,544,555,562,575,584,601,613,623,635,648,656,665,672,685,697,709,720,729,744,754,766,777,788,800,817,825,838,847,856,871,894,915,927,941,953,967,985,1003,1020,1041,1061,1078,1101,1123,1142,1159,1179,1192,1213,1232,1252,1282,1302,1324,1347,1372,1394,1418,1436,1464,1479,1509,1537,1570,1606,1645,1680,1733,1767,1798,1838,1875,1929,1968,2004,2051,2101,2140,2182,2223,2259,2301,2358,2409,2440,2483,2537,2581,2626,2673,2726,2775,2843,2904,2953,3015,3067,3136,3190,3247,3298,3360,3421,3482,3540,3599,3663,3716,3770,3840,3907,3966,4036,4101,4161,4222,4287,4353,4415,4471,4541,4597,4675,4739,4804,4856,4926,4980,5028,5088,5158,5220,5276,5336,5388,5445,5511,5556,5611,5673,5715,5771,5820,5875,5936,6002,6061,6127,6201,6247,6305,6363,6437,6511,6589,6646,6715,6804,6890,6983,7086,7196,7304,7404,7513,7650,7799,7943,8100,8245,8418,8578,8746,8881,9025,9193,9358,9494,9637,9788,9966,10118,10289,10449,10580,10737,10905,11060,11234,11403,11575,11736,11895,12065,12245,12421,12593,12735,12907,13073,13213,13405,13584,13798,13988,14190,14350,14542,14727,14947,15144,15344,15546,15767,15983,16205,16429,16630,16823,17042,17259,17485,17748,17979,18237,18513,18782,19083,19404,19690,19965,20242,20560,20845,21159,21452,21745,22072,22384,22719,23083,23440,23772,24126,24470,24824,25200,25613,25967,26377,26758,27141,27567,27970,28389,28869,29320,29776,30237,30753,31270,31742,32231,32760,33252,33840,34406,34964,35540,36130,36693,37314,37913,38520,39169,39791,40429,41025,41731,42388,43087,43797,44493,45225,45924,46636,47395,48153,48959,49733,50526,51294,52107,52945,53776,54667,55589,56489,57452,58515,59443,60447,61450,62495,63616,64719,65912,67082,68283,69587,70831,72164,73578,74919,76374,77808,79259,80725,82290,83825,85515,87144,88880,90687,92437,94272,96126,97944,99929,101904,103992,106251,108434,110685,112938,115300,117823,120394,122991,125609,128258,130987,133900,136836,139829,142909,146062,149127,152301,155418,158771,162060,165434,168881,172391,175990,179542,183288
1,1,1,1,1,1,1,2,2,2,2,4,5,6,7,9,9,9,9,9,9,13,15,18,22,28,33,37,43,54,63,67,70,75,80,85,95,110,118,129,135,141,147,157,171,178,190,198,211,220,229,244,256,273,285,292,308,325,338,350,358,376,395,418,430,446,455,465,481,495,515,536,549,562,576,590,607,619,637,647,668,690,713,730,743,757,780,809,835,853,882,917,952,991,1019,1061,1096,1124,1167,1209,1247,1282,1325,1368,1401,1437,1471,1511,1546,1584,1612,1652,1696,1725,1763,1807,1846,1887,1933,1974,2013,2068,2116,2160,2208,2256,2307,2363,2419,2483,2533,2602,2667,2734,2793,2862,2937,3003,3059,3132,3209,3299,3376,3464,3550,3631,3705,3777,3863,3950,4035,4157,4252,4356,4465,4581,4687,4790,4909,5033,5168,5298,5428,5573,5726,5887,6050,6187,6369,6534,6684,6880,7085,7281,7473,7668,7863,8080,8328,8552,8787,9034,9255,9515,9764,10054,10330,10604,10885,11178,11434,11747,12048,12362,12670,13011,13364,13718,14143,14514,14993,15401,15807,16259,16708,17148,17623,18116,18645,19146,19645,20188,20780,21369,21937,22551,23153,23743,24354,24975,25581,26220,26870,27495,28164,28829,29564,30274,30995,31761,32518,33243,34055,34894,35726,36585,37440,38347,39251,40167,41141,42115,43060,44097,45184,46195,47296,48414,49602,50836,52067,53365,54680,56003,57431,58903,60342,61772,63336,64822,66426,68019,69698,71378,73048,74745,76464,78211,80061,81902,83747,85669,87699,89665,91781,94006,96138,98409,100622,103007,105406,107865,110435,112916,115431,118020,120626,123358,126106,128925,131752,134652,137685,140739,143838,146932,150203,153504,156711,159984,163421,166825,170179,173670,177152,180689,184358,188110,191819,195621,199407,203486,207485,211525,215677,219960,224270,228712,233213,237969,242831,247762,252761,257914,262988,268446,273899,279367,285059,290701,296415,302301,308234,314191,320313,326544,332899,339219,345698,352447,359319,366121,373037,379952,386908,394089,401396,408959,416454,424122,431983,439817,447772,455813,463949,472298,480679,489132,497783,506679,515831,524707,533916,543214,552692,562403,572014,582188,592416,602529,612837,623348,634008,644876,655913,667143,678417,689720,701082,712833,724510,736347,748462,760566,772904,785338,798120,810983,823900,836968,850086,863642,877246,890828,904920,918885,933127,947372,961796,976309,991062,1005715,1020490,1035393,1050710,1066114,1081494,1096932,1112731,1128608,1144734,1160716,1176797,1193302,1209896,1226313,1242822,1259640,1276873,1294169,1311279,1328816,1346371,1364067,1381854,1399646,1417550,1435680,1453693,1472024,1490633,1509034,1527377,1546022,1564835,1583899,1603007,1622480,1641977,1661592,1681366,1701188,1720936,1740753,1760623,1780820,1801086,1821588,1842198,1862931,1883780,1904392,1925504,1946491,1967784,1989236,2010576,2031973,2053486,2075165,2096747,2118634,2140738,2162801,2185119,2207334,2229659,2252027,2274372,2297081,2320186,2343273,2366705,2389720,2412992,2436375,2459899,2483560,2507408,2531308,2555528,2579638,2603839,2628318,2652630,2677323,2702539,2727831,2753101,2778443,2803738,2829352,2854897,2880439,2906242,2932451,2958596
1,1,1,1,1,1,1,1,1,3,4,6,7,7,10,10,10,10,10,10,11,12,15,17,17,18,21,22,23,25,25,28,32,33,34,34,36,36,39,42,46,48,50,51,55,58,61,65,70,73,76,78,80,83,87,90,95,97,102,107,107,111,113,116,121,128,129,132,136,138,144,148,149,150,152,154,160,162,162,163,169,172,172,175,179,183,185,191,195,197,202,208,213,218,224,232,238,245,256,260,263,268,275,285,290,297,305,315,324,335,344,358,365,373,379,389,395,402,409,418,431,444,454,472,482,490,499,507,516,527,531,541,548,555,563,576,582,597,607,619,630,642,652,666,678,684,695,711,720,734,745,759,771,784,803,815,835,848,867,883,908,926,954,975,998,1024,1052,1073,1103,1132,1161,1194,1226,1261,1290,1338,1381,1418,1463,1501,1532,1572,1614,1659,1705,1745,1790,1836,1882,1920,1949,1987,2023,2059,2101,2134,2171,2204,2241,2285,2316,2347,2374,2398,2431,2469,2501,2531,2564,2598,2628,2651,2678,2714,2749,2784,2819,2850,2880,2904,2933,2970,2990,3033,3066,3098,3130,3160,3199,3224,3256,3285,3312,3336,3378,3409,3445,3475,3518,3544,3582,3626,3662,3690,3720,3747,3780,3820,3847,3883,3911,3943,3977,4011,4041,4074,4098,4128,4156,4194,4232,4268,4312,4353,4388,4421,4465,4504,4550,4592,4633,4692,4733,4771,4810,4848,4889,4924,4965,5009,5058,5096,5138,5189,5246,5290,5328,5374,5419,5467,5516,5571,5636,5695,5746,5807,5868,5926,5996,6062,6134,6197,6260,6325,6400,6498,6573,6657,6746,6842,6921,7006,7096,7170,7250,7352,7437,7523,7631,7730,7826,7936,8041,8134,8231,8345,8477,8629,8784,8957,9117,9301,9456,9640,9842,10020,10217,10395,10603,10824,11018,11236,11431,11640,11879,12102,12332,12588,12801,13023,13252,13511,13759,14000,14280,14521,14809,15076,15386,15682,15993,16304,16629,16964,17253,17571,17897,18214,18527,18848,19163,19472,19806,20098,20435,20779,21112,21493,21818,22156,22528,22921,23345,23759,24196,24644,25108,25607,26098,26579,27072,27573,28104,28589,29098,29602,30090,30612,31158,31722,32321,32939,33515,34090,34675,35269,35898,36533,37153,37803,38489,39155,39855,40559,41280,41995,42677,43429,44174,44914,45666,46452,47263,48097,48998,49872,50761,51672,52626,53571,54511,55572,56650,57717,58827,60011,61180,62403,63517,64750,66014,67301,68588,69889,71236,72608,73994,75338,76721,78131,79545,81073,82577,84068,85557,87201,88829,90476,92114,93800,95551,97335,99125,100938,102853,104799,106792,108825,110781,112778,114909,116934,119030,121245,123468,125816,128288,130762,133253,135788,138459,141138,143860,146628,149462,152411,155368,158369,161367,164514,167756,171029,174503,178091,181714,185555,189375
1,1,1,1,1,1,3,4,6,6,9,13,16,19,19,19,20,25,26,28,31,38,40,44,49,55,64,67,72,75,77,79,85,91,93,96,101,104,109,119,125,129,133,136,138,141,146,152,158,162,169,175,176,182,190,197,205,209,215,223,228,235,246,251,259,265,267,280,296,310,318,326,335,341,350,365,374,384,397,411,425,434,449,459,473,491,498,522,535,556,576,590,608,633,650,668,683,704,724,750,774,801,822,852,877,903,936,966,999,1025,1054,1076,1105,1138,1168,1202,1240,1260,1299,1337,1364,1399,1431,1465,1495,1527,1557,1587,1628,1661,1706,1736,1773,1802,1845,1891,1924,1966,2010,2054,2098,2136,2179,2220,2279,2333,2400,2468,2527,2608,2683,2743,2817,2889,2967,3054,3148,3217,3288,3363,3422,3516,3573,3640,3707,3782,3854,3920,3985,4053,4126,4201,4270,4352,4405,4482,4553,4608,4688,4752,4817,4890,4954,5028,5111,5195,5257,5339,5406,5488,5565,5638,5712,5778,5857,5922,5990,6070,6164,6245,6314,6380,6467,6547,6635,6711,6784,6859,6921,6993,7058,7123,7194,7272,7351,7428,7510,7595,7684,7765,7861,7942,8017,8099,8180,8282,8379,8480,8570,8676,8762,8873,8967,9059,9177,9274,9385,9504,9605,9707,9803,9897,9986,10090,10204,10316,10433,10567,10689,10795,10924,11066,11191,11309,11428,11540,11664,11803,11929,12045,12168,12324,12436,12570,12695,12834,12983,13140,13280,13420,13537,13663,13810,13961,14104,14264,14426,14592,14738,14905,15062,15226,15372,15538,15701,15860,15993,16145,16351,16517,16708,16879,17076,17273,17514,17758,17974,18257,18522,18790,19079,19381,19664,19954,20256,20548,20863,21219,21532,21850,22157,22491,22845,23198,23576,23988,24384,24811,25265,25692,26125,26595,27048,27492,27940,28420,28878,29328,29831,30313,30754,31316,31835,32376,32949,33520,34173,34815,35432,36084,36705,37374,38026,38669,39336,39983,40601,41245,41894,42542,43180,43832,44447,45098,45708,46334,47005,47605,48228,48863,49496,50165,50849,51564,52240,52854,53567,54253,54984,55722,56447,57224,58026,58861,59638,60412,61194,61990,62758,63560,64367,65152,66010,66845,67759,68584,69474,70343,71232,72165,73112,74066,75053,75991,76977,78005,79091,80229,81389,82545,83777,84952,86175,87437,88768,90133,91507,92996,94469,95950,97429,98921,100535,102187,103802,105450,107152,108850,110617,112346,114153,116039,117935,119980,121944,123924,125966,127976,130066,132226,134484,136712,138971,141253,143655,146067,148428,150905,153368,155854,158424,160932,163551,166224,168915,171590,174424,177177,180024,183002,185916,188909,192076,195246,198546,201888,205333,208815,212315,215974,219619,223374,227138,230904,234690,238560,242525,246513,250459,254623,258763,263020,267355,271733,276133,280607,285155,289809,294603,299298,304163,308978,313812,318862,324050,329168,334368,339643,345010,350486,356067,361579,367236,372940,378645,384479,390419
1,1,2,3,6,6,7,8,9,17,26,35,41,50,61,88,106,132,157,187,217,262,316,367,423,472,537,598,639,681,725,764,817,859,901,926,955,995,1033,1074,1108,1140,1177,1201,1229,1268,1291,1315,1333,1363,1387,1410,1429,1442,1458,1478,1495,1513,1523,1537,1551,1563,1575,1589,1605,1613,1627,1646,1655,1664,1677,1688,1693,1701,1713,1724,1735,1742,1753,1758,1766,1777,1784,1793,1803,1808,1812,1819,1829,1834,1840,1848,1851,1857,1871,1876,1883,1895,1901,1910,1919,1925,1932,1949,1958,1972,1980,1987,1997,2011,2025,2042,2050,2056,2063,2071,2084,2098,2113,2122,2135,2147,2162,2180,2195,2213,2231,2248,2269,2287,2305,2336,2355,2375,2393,2408,2430,2450,2463,2480,2499,2522,2543,2563,2591,2615,2641,2668,2685,2703,2716,2739,2759,2783,2806,2829,2853,2869,2896,2916,2935,2951,2969,2987,3005,3024,3036,3049,3065,3084,3102,3114,3130,3141,3164,3185,3210,3229,3251,3266,3292,3304,3337,3348,3369,3389,3420,3435,3455,3480,3505,3536,3559,3585,3616,3634,3655,3669,3693,3723,3756,3788,3808,3843,3872,3893,3918,3938,3965,3993,4018,4048,4080,4121,4144,4176,4203,4236,4269,4300,4333,4368,4393,4427,4459,4506,4551,4585,4620,4674,4711,4759,4801,4846,4886,4928,4967,5017,5070,5121,5161,5202,5250,5305,5352,5421,5472,5532,5596,5644,5706,5766,5835,5904,5987,6052,6127,6204,6287,6388,6481,6589,6704,6815,6902,7011,7131,7265,7406,7556,7714,7861,8051,8243,8424,8613,8812,9051,9289,9560,9835,10121,10411,10696,10983,11299,11601,11925,12283,12605,12952,13337,13678,14027,14373,14718,15094,15483,15844,16255,16678,17066,17476,17907,18372,18823,19269,19741,20241,20698,21215,21672,22151,22653,23179,23692,24221,24794,25344,25901,26426,26968,27565,28169,28754,29351,29965,30559,31212,31913,32599,33285,34001,34740,35468,36242,37018,37770,38532,39342,40154,40996,41876,42747,43667,44609,45578,46568,47558,48602,49716,50860,52072,53252,54461,55674,56919,58164,59467,60763,62086,63455,64846,66283,67646,69102,70541,72009,73445,74976,76477,77990,79539,81237,82847,84475,86185,87947,89665,91521,93288,95027,96881,98761,100692,102634,104522,106368,108321,110347,112272,114356,116499,118702,120817,123004,125191,127401,129567,131842,134248,136719,139305,142090,144774,147565,150355,153342,156318,159367,162580,165811,169110,172401,175849,179295,182816,186319,189859,193491,197183,201056,204902,208788,212732,216808,220932,225123,229361,233663,238100,242570,247201,251970,256684,261369,266211,270957,275922,280950,286047,291105,296202,301402,306831,312297,317974,323432,329075,334995,341064,347192,353388,359725,365961,372510,379354,386024,392962,400058,407323,414575,421854,429333,437011,444790,452739,460727,468791,477044,485534,494104,502817,511663,520619,529749,539043,548339,557977,567642,577310,587298,597225,607422,617715,627984,638344,648895,659671,670593,681535,692690,703639,714937,726428,738072,749792
1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,7,8,10,10,10,12,13,14,17,17,19,22,23,26,31,31,38,41,43,47,49,54,57,62,63,65,68,73,77,80,84,90,91,96,100,103,105,112,117,119,120,124,128,132,136,139,141,141,145,146,147,147,151,154,157,160,162,164,166,170,172,176,181,183,187,189,189,190,190,195,196,200,203,205,208,214,216,217,221,226,230,237,241,252,257,264,270,273,278,283,287,289,296,302,312,318,328,337,347,357,369,378,385,394,404,414,426,439,449,459,475,489,498,506,510,522,534,545,556,562,572,584,588,596,603,614,626,633,646,653,662,671,680,692,695,706,719,733,743,751,762,774,782,792,800,808,813,825,836,840,847,863,867,874,882,890,903,915,925,926,934,936,938,941,946,958,965,976,983,993,1005,1007,1010,1015,1025,1035,1047,1071,1080,1086,1092,1101,1112,1125,1135,1151,1164,1172,1181,1186,1193,1207,1221,1235,1250,1258,1271,1284,1296,1313,1326,1340,1349,1360,1368,1385,1398,1418,1435,1458,1472,1481,1487,1500,1517,1532,1550,1564,1584,1602,1618,1636,1656,1675,1686,1702,1721,1746,1767,1792,1806,1822,1839,1860,1882,1901,1918,1951,1967,1987,2004,2032,2055,2077,2100,2124,2146,2171,2201,2228,2250,2268,2295,2330,2353,2380,2413,2438,2456,2485,2525,2567,2607,2632,2655,2689,2710,2731,2763,2795,2831,2864,2907,2941,2980,3025,3054,3081,3110,3151,3191,3251,3303,3344,3397,3447,3518,3575,3643,3714,3787,3844,3912,3984,4051,4116,4176,4245,4318,4391,4469,4539,4630,4722,4818,4896,5002,5098,5183,5286,5380,5486,5581,5671,5765,5863,5950,6028,6102,6165,6250,6332,6403,6480,6561,6627,6699,6764,6825,6881,6941,7002,7045,7111,7178,7238,7309,7383,7438,7498,7563,7621,7691,7752,7813,7870,7937,8007,8071,8137,8195,8260,8337,8426,8499,8563,8639,8710,8783,8858,8960,9031,9094,9179,9255,9329,9412,9488,9560,9633,9706,9774,9839,9901,9966,10032,10100,10160,10239,10325,10398,10478,10547,10608,10682,10752,10842,10932,11015,11138,11193,11280,11363,11444,11542,11647,11750,11851,11952,12059,12156,12283,12385,12488,12613,12729,12836,12953,13070,13201,13313,13448,13561,13696,13845,14019,14178,14330,14475,14644,14807,15005,15196,15375,15535,15731,15912,16117,16322,16556,16784,17037,17308,17578,17850,18105,18362,18633,18914,19231,19523,19810,20107,20385,20693,21000,21316,21644,21992,22296,22615,22977,23326,23699,24074,24449,24847,25257,25673,26134,26607,27074,27562,28103,28648,29244,29860,30440,31069,31728,32379
1,1,2,4,5,7,9,11,13,14,17,22,26,29,33,35,44,47,51,53,55,58,59,63,67,74,76,79,83,88,93,97,100,106,109,113,116,119,123,127,129,131,136,140,141,143,147,148,150,152,155,161,164,164,166,167,168,169,171,173,176,177,177,179,183,186,186,186,187,190,192,195,196,198,198,199,201,202,202,204,204,207,209,209,209,210,210,211,211,211,211,211,212,213,213,215,215,217,219,222,222,224,224,225,225,227,227,228,229,229,230,231,232,233,233,236,240,241,241,241,246,246,247,249,254,255,257,258,258,261,262,262,267,269,272,275,281,288,292,297,302,308,312,317,324,334,344,346,354,367,375,387,394,402,417,425,435,451,470,486,497,511,522,543,558,572,586,603,621,638,653,668,688,707,724,742,761,785,802,822,846,873,886,914,926,944,960,985,1003,1030,1056,1077,1109,1128,1177,1210,1260,1299,1343,1395,1443,1494,1559,1620,1683,1754,1821,1910,1997,2089,2187,2300,2417,2536,2672,2766,2887,3028,3157,3270,3376,3494,3622,3733,3862,3984,4107,4224,4344,4497,4662,4792,4939,5075,5228,5386,5572,5768,5929,6099,6291,6494,6718,6943,7145,7356,7555,7760,7979,8190,8431,8654,8905,9113,9324,9579,9801,10037,10272,10509,10756,11043,11296,11551,11829,12103,12418,12730,13047,13384,13765,14119,14510,14858,15260,15685,16095,16546,16958,17393,17846,18309,18788,19238,19742,20249,20740,21217,21708,22209,22713,23185,23696,24198,24734,25246,25808,26353,26924,27473,28021,28637,29203,29774,30404,31060,31711,32430,33168,33898,34638,35403,36187,36949,37744,38493,39355,40213,41043,41888,42812,43712,44582,45518,46493,47481,48570,49631,50694,51758,52867,53992,55193,56408,57621,58785,60092,61454,62836,64243,65660,67134,68539,70113,71689,73315,74934,76639,78392,80228,82066,83993,85986,87889,89858,91920,94069,96214,98418,100617,102908,105208,107540,109961,112320,114855,117327,119807,122315,124879,127386,129943,132526,135147,137786,140577,143357,146078,148906,151829,154830,157868,160946,164162,167526,170910,174354,177876,181512,185060,188828,192676,196542,200459,204517,208540,212714,216941,221212,225598,230107,234674,239268,243845,248555,253344,258407,263304,268204,273174,278280,283416,288694,293948,299144,304613,310129,315580,321127,326890,332745,338722,344739,350838,357076,363418,369730,376370,382876,389749,396562,403595,410817,418192,425489,433063,440671,448619,456661,465021,472970,481193,489499,497810,506549,515260,524094,533034,541846,550925,559949,569058,578517,587855,597490,607166,616764,626547,636470,646671,656939,667437,678057,688473,699287,710143,721178,732332,743579,755006,766521,778144,789705,801688,813784,825764,838161,850516,862843,875198,887940,900664,913476,926518,939685,953142,966793,980785,994892,1009287,1023475,1038139,1052707,1067525,1082569,1098012,1113447
1,1,1,2,3,6,9,13,15,16,16,16,17,18,20,20,22,24,25,29,31,35,37,37,39,42,45,53,59,63,64,68,71,73,76,82,90,97,101,103,108,115,122,128,130,131,136,137,142,145,151,154,161,169,182,195,206,216,235,248,271,306,352,402,450,516,567,631,692,769,841,928,1018,1104,1198,1287,1390,1513,1625,1745,1880,2017,2186,2354,2573,2775,2984,3203,3431,3654,3869,4134,4360,4602,4837,5066,5322,5598,5862,6184,6479,6807,7177,7556,7942,8319,8697,9088,9488,9877,10309,10766,11195,11686,12112,12555,12981,13435,13832,14280,14723,15156,15583,16010,16394,16837,17269,17720,18150,18608,19058,19501,19924,20387,20923,21442,21933,22449,23005,23537,24109,24649,25212,25753,26335,26961,27540,28178,28815,29429,30056,30723,31374,32053,32724,33420,34090,34779,35513,36215,36934,37635,38355,39093,39847,40611,41428,42261,43084,43903,44735,45562,46526,47397,48308,49227,50220,51155,52100,53095,54075,55057,56130,57188,58326,59360,60475,61552,62692,63872,64995,66183,67364,68565,69791,71018,72339,73692,75023,76413,77774,79177,80602,82055,83525,85083,86648,88341,90061,91815,93587,95354,97160,99073,100963,102949,105063,107090,109281,111535,113809,116100,118445,120908,123291,125754,128281,130832,133405,136173,138811,141417,144082,146827,149625,152538,155314,158177,161047,164015,166940,170011,173063,176293,179543,182956,186379,190022,193655,197387,201271,205178,209249,213462,217664,221920,226344,230917,235488,240204,244847,249727,254553,259530,264489,269579,274808,280151,285396,290787,296357,301931,307473,313280,319258,325478,331706,337903,344271,350738,357226,364013,370770,377565,384577,391636,398993,406487,413931,421393,429104,436751,444606,452549,460570,468788,476862,485133,493395,501858,510510,519011,527950,536907,546006,555126,564342,573714,583167,592664,602136,611917,621801,631643,641496,651651,662060,672525,683134,693917,704854,715897,726865,737886,749136,760464,771667,783320,794692,806223,818213,829806,841657,853499,865511,877770,889999,902331,914814,927435,940006,952722,965642,978836,992122,1005429,1019096,1033078,1046778,1060900,1074804,1089016,1103443,1117920,1132360,1147051,1162020,1177075,1192217,1207356,1223011,1238466,1254057,1269936,1286091,1302596,1319236,1336006,1352716,1369873,1387132,1404690,1422050,1439935,1457997,1476074,1494484,1512594,1531351,1550236,1569171,1588157,1607205,1626485,1645982,1665462,1685098,1704768,1724484,1744576,1764872,1785025,1805521,1825809,1846117,1866801,1887760,1908870,1930137,1951389,1973186,1995012,2017000,2039057,2061000,2083079,2105124,2127339,2149912,2172621,2195639,2218293,2241795,2265146,2288828,2312326,2336079,2359942,2383807,2408078,2432205,2456565,2480846,2505314,2529954,2554635,2579488,2604066,2628683,2653390,2678274,2703380,2728436,2753664,2778710,2803961,2829230,2854519,2879964,2905207,2930666,2956142,2981838,3007533,3032881,3058453,3084083,3109827,3135612,3161557,3187390,3213494,3239464,3265626,3291936,3318447,3345061,3371563,3398018,3424326,3450823,3477389,3504128,3530495,3557156,3583623,3610645,3637692,3664631,3691268,3718422,3745714,3772514,3800086,3827408,3854710,3882048,3909640,3937166,3965082,3992670,4020588,4048593,4077129,4105183,4133624,4161761,4190032,4218626,4247380,4276167,4305006,4333483,4361912,4391122,4419778,4448244
1,1,1,4,8,10,11,12,13,18,18,18,20,21,25,25,27,33,36,39,40,42,44,47,52,63,66,74,78,85,86,93,97,98,102,105,112,115,119,124,126,128,130,137,146,156,163,169,179,186,190,203,208,221,224,236,240,244,251,256,272,278,286,294,309,324,343,351,369,386,399,413,435,444,457,481,495,520,540,551,564,587,610,633,650,669,693,716,736,761,779,804,831,853,876,898,914,940,963,986,1013,1039,1061,1083,1106,1149,1176,1213,1237,1278,1319,1350,1386,1423,1463,1489,1531,1572,1612,1650,1692,1740,1774,1823,1888,1961,2032,2111,2189,2269,2351,2444,2540,2625,2720,2824,2912,3028,3133,3237,3350,3450,3586,3722,3844,3990,4126,4254,4371,4494,4612,4735,4868,4985,5123,5253,5382,5497,5628,5755,5861,5967,6078,6214,6322,6437,6532,6662,6763,6868,6978,7074,7191,7292,7396,7520,7636,7748,7844,7948,8053,8155,8265,8363,8469,8558,8665,8758,8863,8961,9073,9178,9284,9384,9493,9586,9689,9786,9908,10013,10125,10235,10324,10430,10534,10640,10735,10854,10970,11094,11211,11349,11484,11627,11806,11963,12117,12305,12485,12658,12857,13029,13227,13409,13557,13726,13904,14103,14276,14468,14653,14841,15046,15248,15457,15660,15881,16146,16382,16622,16897,17162,17470,17761,18009,18272,18533,18837,19117,19438,19732,20033,20320,20633,20946,21292,21633,21964,22324,22668,23030,23387,23738,24111,24503,24865,25232,25576,25948,26286,26641,27027,27389,27741,28057,28382,28712,29126,29524,29892,30258,30608,30985,31390,31776,32180,32611,33022,33413,33810,34249,34691,35137,35576,36035,36548,37004,37487,38020,38552,39119,39632,40260,40828,41437,42027,42706,43374,44071,44757,45472,46213,46931,47660,48384,49122,49878,50609,51383,52203,53028,53857,54651,55444,56273,57109,57931,58836,59667,60579,61484,62419,63412,64442,65459,66503,67613,68778,69994,71281,72573,73910,75304,76754,78158,79602,81133,82598,84119,85679,87329,88908,90600,92299,94060,95897,97651,99505,101344,103325,105263,107333,109301,111218,113244,115419,117523,119626,121714,123903,126120,128332,130541,132743,135018,137228,139618,142009,144529,146993,149540,152044,154615,157273,160142,162969,165845,168796,171808,174853,177974,180935,184104,187340,190647,194075,197489,200960,204454,207875,211484,214955,218546,222247,226017,229774,233677,237584,241561,245532,249586,253714,257912,262235,266642,271094,275675,280330,285079,289933,294833,299953,305038,310326,315616,321023,326491,332090,337672,343441,349190,355077,360949,366955,373011,379374,385636,392049,398359,404794,411308,417971,424996,431675,438478,445446,452628,459770,467080,474468,481914,489577,497271,505254,513230,521380,529721,537891,546228,554867,563485,572171,581004,589883,598930,608154,617374,626783,636451,646055,655812,665810,675889,686087,696397,707050,717870,728743,739755,750933,762218,773904,785587,797373,809266,821438,833805,846357,859234,872182,884982,898242,911653,925038,938462,952320,966193
1,1,1,1,1,1,1,1,1,2,4,5,6,8,10,11,13,15,15,15,15,15,15,15,15,15,15,15,15,15,15,17,17,18,18,20,24,24,28,33,35,36,39,43,44,49,56,60,61,62,63,66,67,73,77,84,91,101,105,105,110,114,118,128,132,135,142,145,152,159,162,162,169,175,180,182,188,193,197,204,211,217,227,233,240,246,250,257,265,278,283,288,299,309,319,326,337,347,359,370,377,385,390,397,409,418,426,435,444,452,461,469,478,488,506,513,521,534,540,547,564,580,589,601,610,619,629,641,652,664,685,691,700,710,715,728,736,743,753,766,773,781,789,797,806,817,823,829,841,848,856,867,880,886,898,918,932,955,981,1007,1028,1063,1104,1139,1177,1218,1248,1289,1331,1372,1414,1443,1469,1499,1542,1578,1616,1652,1688,1726,1747,1774,1802,1829,1856,1872,1883,1904,1928,1954,1980,2009,2040,2058,2082,2108,2137,2169,2194,2230,2276,2317,2371,2418,2482,2540,2605,2682,2787,2885,2995,3131,3258,3369,3507,3628,3753,3866,3988,4127,4240,4356,4455,4555,4660,4749,4833,4917,5030,5133,5221,5298,5378,5474,5560,5648,5739,5820,5917,6006,6107,6208,6333,6472,6601,6727,6889,7048,7215,7375,7552,7731,7905,8095,8273,8469,8669,8878,9080,9308,9554,9815,10068,10316,10578,10821,11146,11441,11735,12032,12370,12727,13104,13493,13869,14266,14693,15099,15548,15966,16375,16821,17266,17714,18169,18664,19118,19634,20147,20639,21123,21746,22346,22939,23606,24243,24906,25565,26207,26867,27587,28264,29005,29828,30609,31434,32212,33047,33872,34720,35641,36613,37570,38474,39416,40355,41345,42347,43390,44354,45290,46264,47299,48380,49411,50491,51600,52720,53820,54897,56025,57154,58278,59427,60594,61848,63067,64348,65569,66918,68233,69625,71094,72531,74045,75540,77110,78734,80404,82083,83716,85451,87216,88968,90756,92612,94530,96528,98504,100540,102522,104608,106610,108590,110735,112884,115165,117429,119711,121926,124257,126646,129057,131540,134034,136588,139179,141814,144516,147326,150150,152966,155968,158962,162096,165089,168264,171364,174656,177999,181360,185012,188523,192364,196056,199802,203611,207557,211673,215791,220068,224351,228631,232994,237448,242172,246959,251879,256925,261979,267035,272244,277756,283134,288821,294662,300297,306406,312599,318738,325133,331624,338158,344794,351453,358315,365259,372429,379692,387108,394473,401933,409562,417466,425465,433469,441611,450079,458703,467601,476348,485348,494365,503590,512909,522411,532005,541500,551417,561101,570930,581075,591084,601500,612024,622529,633298,643981,654839,665917,677192,688338,699602,711131,722678,734388,746141,758000,769965,782183,794589,807078,819728,832577,845505,858681,872190,885574,899528,913474,927424,941371,955692,970039,984525,999265,1013882,1028796,1043691,1058796,1073694,1088867,1104158,1119399,1134770,1149986,1165368
1,1,1,1,1,2,4,4,5,5,7,7,7,7,7,7,8,11,12,12,14,14,17,20,21,24,26,32,34,36,38,41,46,47,49,50,51,54,56,61,63,64,69,74,77,79,86,88,90,92,96,99,104,105,108,113,116,118,121,126,129,136,141,146,148,149,155,155,158,162,164,170,170,170,172,174,177,179,180,184,187,188,192,193,195,197,198,200,200,201,203,203,204,204,206,209,210,211,213,215,215,217,219,219,220,220,222,224,227,230,233,236,238,243,250,255,259,266,269,270,279,287,292,300,307,311,320,326,335,342,353,362,371,373,382,388,395,405,409,418,424,430,437,442,448,454,463,468,476,483,491,502,509,520,529,540,550,559,562,571,577,591,601,614,623,630,634,648,652,656,667,676,691,698,708,721,728,735,743,751,762,773,780,795,802,809,816,830,839,851,861,872,886,898,907,914,933,941,951,963,970,973,987,1002,1017,1029,1040,1057,1070,1090,1124,1149,1175,1207,1249,1294,1334,1385,1431,1478,1541,1603,1656,1709,1762,1813,1866,1920,1967,2009,2061,2110,2156,2197,2240,2275,2310,2356,2420,2470,2523,2575,2622,2689,2757,2834,2906,2972,3040,3122,3193,3271,3359,3445,3512,3588,3668,3766,3859,3929,4001,4062,4131,4189,4242,4300,4359,4425,4481,4558,4627,4683,4768,4828,4893,4961,5023,5081,5151,5226,5288,5373,5435,5513,5603,5676,5757,5838,5904,5967,6059,6141,6213,6295,6366,6440,6520,6597,6669,6749,6818,6901,6982,7060,7159,7245,7348,7435,7518,7629,7738,7846,7953,8079,8172,8293,8395,8510,8646,8759,8909,9023,9141,9275,9422,9591,9755,9902,10070,10218,10396,10560,10703,10852,11001,11152,11327,11501,11674,11826,12004,12197,12399,12588,12785,12993,13186,13396,13624,13851,14083,14318,14548,14764,15042,15302,15559,15823,16105,16363,16621,16919,17212,17563,17882,18192,18557,18909,19292,19681,20099,20515,20949,21358,21735,22211,22632,23155,23600,24060,24549,25081,25614,26091,26553,27033,27581,28147,28698,29260,29863,30517,31210,31876,32577,33308,34077,34877,35664,36472,37269,38149,39063,39971,40856,41815,42800,43829,44937,45989,47188,48333,49468,50678,51876,53106,54473,55789,57128,58484,59999,61478,62942,64448,66025,67612,69310,70890,72556,74285,76001,77832,79702,81663,83613,85615,87643,89598,91710,93734,95834,98019,100131,102394,104648,106936,109374,111774,114203,116598,119042,121669,124307,127013,129740,132481,135285,138213,141104,144061,147117,150085,153165,156286,159345,162483,165775,168935,172399,175833,179216,182665,186319,190046,193865,197716,201657,205826,210061,214401,218804,223306,227920,232658,237308,242083,246926,251915,256912,262105,267330,272564,277924,283534,288953,294681,300376
1,1,1,1,1,1,2,3,4,5,5,5,7,8,9,10,13,14,15,16,17,19,20,21,25,27,28,28,30,31,31,32,32,32,32,34,35,36,36,38,39,40,40,41,41,43,44,46,46,48,48,48,50,51,51,51,53,57,57,58,59,62,63,67,71,74,75,76,78,78,81,83,84,85,85,85,88,90,91,94,95,100,102,103,105,105,105,106,107,108,110,112,117,118,120,122,127,130,130,135,138,142,142,144,145,147,147,148,149,150,150,150,150,151,152,152,155,156,157,159,159,161,163,164,167,170,171,173,174,176,182,184,185,189,189,191,194,194,195,196,198,201,201,204,204,205,207,210,213,216,216,216,217,217,219,219,221,221,222,225,226,228,230,231,234,235,235,236,237,238,239,239,239,239,242,244,248,251,253,254,258,262,269,271,273,276,278,282,289,295,297,298,304,307,311,315,316,323,329,333,340,342,345,350,358,363,369,375,379,382,388,391,399,403,412,415,423,429,439,445,451,458,463,467,472,481,490,500,508,521,529,540,555,565,569,583,591,606,617,626,643,662,681,706,726,748,769,803,823,845,871,896,925,957,988,1018,1061,1096,1128,1165,1200,1241,1274,1310,1354,1393,1430,1471,1511,1560,1600,1640,1674,1717,1765,1813,1867,1902,1952,1988,2031,2078,2126,2189,2240,2294,2352,2412,2476,2525,2586,2654,2725,2787,2864,2918,2985,3051,3108,3158,3222,3288,3347,3431,3501,3564,3639,3722,3797,3868,3950,4048,4129,4218,4311,4413,4508,4622,4754,4867,4984,5098,5200,5327,5448,5576,5679,5812,5942,6050,6167,6304,6425,6543,6687,6823,6964,7091,7234,7368,7506,7635,7807,7967,8139,8302,8461,8623,8787,8965,9136,9319,9509,9718,9896,10105,10298,10533,10731,10958,11190,11413,11648,11889,12125,12392,12653,12903,13188,13477,13780,14101,14401,14734,15096,15469,15817,16171,16583,17007,17451,17900,18335,18821,19337,19876,20383,20916,21508,22103,22740,23329,23988,24678,25398,26084,26772,27487,28200,28941,29699,30381,31127,31834,32616,33321,34072,34864,35638,36449,37239,38087,38913,39707,40539,41395,42264,43169,44102,45064,46048,47046,48074,49144,50224,51383,52465,53599,54780,55973,57154,58374,59641,60884,62138,63435,64730,66039,67346,68647,70014,71409,72869,74239,75701,77217,78777,80359,82013,83704,85400,87166,88980,90875,92832,94740,96691,98728,100729,102780,104808,106879,108980,111113,113232,115436,117621,119855,122096,124362,126747,129099,131516,134026,136670,139369,142141,145027,148020,151058,154085,157335,160574,163940,167382,170873,174418,178090,181769,185482,189247,192976,196741,200618,204602,208629,212737
1,1,1,1,1,4,5,7,7,9,9,10,13,13,16,18,25,30,37,40,45,53,59,66,67,69,73,78,80,89,97,107,114,123,129,132,134,140,143,146,149,153,158,164,167,173,181,191,198,204,211,215,221,230,236,244,254,262,265,270,280,288,290,295,300,304,310,316,327,337,348,360,373,388,396,405,411,427,437,450,459,481,490,501,511,528,540,549,565,577,591,608,617,632,647,658,664,681,697,704,718,730,743,753,768,784,797,808,823,835,843,851,861,871,889,906,916,927,935,945,954,963,974,984,988,992,1003,1017,1028,1038,1047,1058,1064,1070,1078,1087,1090,1096,1101,1108,1120,1128,1133,1139,1143,1147,1155,1160,1169,1177,1183,1193,1202,1208,1219,1223,1233,1237,1246,1251,1255,1260,1266,1268,1270,1272,1278,1281,1284,1285,1286,1288,1294,1299,1300,1301,1301,1310,1313,1319,1321,1323,1326,1332,1341,1346,1352,1357,1363,1374,1378,1384,1392,1399,1411,1422,1436,1451,1465,1486,1506,1519,1540,1559,1582,1603,1633,1654,1685,1703,1718,1751,1779,1797,1821,1853,1891,1926,1967,2002,2032,2065,2095,2126,2153,2194,2233,2258,2293,2331,2383,2435,2473,2531,2589,2639,2679,2740,2810,2903,2995,3095,3187,3294,3392,3516,3641,3768,3901,4050,4207,4340,4475,4637,4802,4985,5164,5335,5507,5674,5888,6079,6285,6521,6716,6948,7150,7373,7603,7811,8061,8295,8543,8774,8963,9172,9420,9633,9849,10090,10340,10594,10833,11092,11339,11599,11872,12160,12422,12707,13046,13364,13696,14015,14342,14687,15049,15446,15859,16232,16612,17004,17454,17868,18275,18705,19141,19596,20056,20559,21046,21541,22038,22535,23079,23647,24177,24742,25363,25976,26560,27151,27774,28463,29184,29870,30517,31216,31853,32514,33316,34015,34780,35555,36347,37097,37926,38733,39552,40460,41327,42210,43073,44005,44919,45938,46905,47951,48951,49933,51012,52135,53290,54472,55627,56783,57911,59092,60322,61531,62824,64111,65430,66726,68083,69470,70916,72291,73708,75205,76633,78139,79564,81051,82649,84249,85898,87569,89257,91054,92853,94658,96551,98504,100540,102541,104658,106783,108963,111174,113398,115667,118014,120345,122774,125242,127679,130235,132785,135474,138221,141152,143996,146898,149859,152882,155991,159144,162213,165471,168732,172160,175601,178974,182458,185997,189641,193439,197322,201093,204920,208912,213018,217203,221500,225884,230386,234928,239516,244160,248748,253590,258502,263564,268671,273823,279045,284402,289911,295647,301291,307031,312824,318789,325036,331270,337528,343821,350303,356739,363383,370143,377185,384248,391356,398628,406181,413830,421532,429401,437412,445631,453927,462330,470926,479475,488268,497089,506101,515253,524531,534090,543732,553363,562986,572714,582737,592755,603108,613618,624089,634999,645881,656938,667952,679066,690340,701829,713241,725071,736765,748708,760564,772537,784650,797030,809593
1,1,1,1,1,1,1,1,1,2,4,4,5,6,9,11,11,11,11,12,13,16,16,18,20,21,23,23,23,24,26,27,28,31,31,31,32,33,35,36,38,40,41,42,45,46,51,56,58,60,64,69,72,75,77,80,87,94,98,101,108,114,116,123,124,125,129,137,142,143,149,154,158,161,164,170,178,184,194,199,204,211,214,217,224,231,238,245,252,261,265,268,274,282,293,300,309,317,327,339,350,360,369,386,395,405,415,434,444,455,466,480,488,500,513,524,541,557,574,595,611,633,643,654,667,679,694,714,740,760,786,806,824,839,864,889,914,936,952,962,980,997,1019,1041,1060,1091,1116,1130,1153,1181,1206,1222,1238,1259,1276,1293,1316,1342,1376,1406,1440,1471,1501,1536,1567,1596,1635,1657,1687,1724,1753,1788,1818,1849,1885,1916,1940,1974,2007,2033,2054,2087,2114,2142,2172,2197,2215,2250,2280,2302,2324,2353,2383,2414,2443,2483,2530,2559,2597,2647,2689,2741,2803,2855,2898,2969,3034,3092,3156,3206,3266,3340,3410,3488,3558,3622,3691,3772,3848,3928,3993,4074,4149,4243,4324,4409,4494,4572,4651,4738,4837,4926,5022,5104,5178,5264,5362,5461,5562,5656,5757,5845,5935,6037,6147,6259,6367,6498,6622,6766,6913,7083,7253,7420,7596,7749,7918,8115,8321,8515,8735,8941,9113,9326,9527,9719,9935,10161,10377,10612,10839,11055,11278,11526,11812,12091,12381,12716,13027,13307,13655,14010,14355,14736,15152,15571,15967,16373,16811,17298,17769,18216,18698,19181,19665,20229,20736,21306,21870,22453,23009,23589,24198,24834,25449,26062,26737,27376,28027,28687,29369,30118,30813,31568,32315,33058,33829,34528,35280,36015,36763,37506,38243,38995,39776,40574,41356,42254,43066,43865,44630,45489,46374,47221,48108,48984,49850,50699,51594,52450,53339,54278,55217,56193,57199,58198,59205,60296,61356,62386,63434,64568,65711,66868,68072,69303,70536,71772,73050,74335,75667,77020,78366,79828,81238,82771,84343,85900,87444,89150,90913,92653,94431,96297,98188,100084,102115,104124,106145,108168,110265,112471,114693,116888,119227,121568,123929,126245,128740,131353,133891,136493,139165,141938,144690,147525,150329,153238,156284,159449,162694,165907,169138,172599,175994,179464,182949,186630,190312,194047,197818,201654,205526,209402,213375,217502,221629,225710,229773,234056,238343,242744,247227,251789,256490,261251,266178,271224,276381,281607,286939,292396,297875,303515,309298,315233,321279,327304,333445,339638,345830,352207,358550,365098,371701,378452,385380,392346,399323,406193,413344,420701,428190,435731,443374,451223,459189,467412,475638,483841,492180,500801,509505,518316,527116,536274,545311,554535,564043,573881,583473,593261,603225,613580,624209,635081,645901,657080,668331,679679,691291,703016,715151,727118,739279,751622,764139,776751,789577,802478,815422,828896,842169,855673,869221,883172,897415
1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,6,11,14,14,15,18,22,26,29,35,40,43,43,45,50,52,55,58,64,67,72,76,79,83,86,92,101,104,112,114,120,124,129,129,132,135,140,142,146,147,153,156,159,161,161,167,170,172,176,185,191,195,197,201,207,211,213,216,218,218,220,224,228,229,230,230,231,236,244,244,245,248,251,254,258,261,268,274,281,282,285,287,293,300,308,318,321,327,333,338,340,342,351,359,362,367,370,377,386,393,406,411,419,421,431,433,438,442,448,457,462,466,469,474,481,485,498,502,513,516,522,530,543,551,553,557,566,576,578,583,587,592,603,613,621,628,637,643,649,658,667,676,688,695,702,708,716,726,730,735,742,747,756,764,769,779,787,794,801,809,816,824,832,834,839,844,848,851,857,864,873,882,885,889,894,901,913,925,932,937,944,950,956,964,973,983,993,1004,1011,1023,1029,1036,1049,1059,1072,1085,1099,1109,1113,1120,1129,1142,1152,1164,1171,1185,1195,1204,1219,1232,1245,1269,1293,1302,1322,1338,1352,1371,1399,1418,1439,1477,1493,1514,1530,1556,1578,1600,1621,1638,1668,1690,1724,1759,1786,1814,1841,1873,1906,1937,1972,2008,2047,2088,2143,2190,2239,2300,2355,2409,2466,2507,2562,2615,2660,2717,2766,2827,2871,2921,2990,3046,3102,3152,3207,3276,3348,3418,3479,3534,3602,3679,3740,3808,3870,3940,4005,4080,4165,4238,4313,4388,4455,4528,4613,4686,4765,4856,4944,5029,5103,5193,5272,5361,5463,5564,5648,5777,5876,5971,6071,6160,6271,6372,6484,6599,6728,6857,6991,7128,7274,7404,7546,7688,7842,7989,8146,8313,8480,8645,8820,9005,9201,9405,9649,9858,10083,10370,10660,10916,11219,11525,11818,12104,12385,12666,12968,13239,13553,13843,14131,14448,14753,15069,15379,15736,16065,16432,16782,17144,17504,17839,18174,18498,18848,19205,19619,20019,20395,20799,21225,21616,22032,22470,22903,23309,23745,24162,24577,24967,25366,25804,26262,26668,27097,27491,27900,28334,28725,29133,29520,29903,30323,30734,31147,31602,31994,32386,32807,33231,33674,34112,34515,34945,35408,35820,36266,36721,37196,37673,38166,38678,39188,39675,40158,40669,41149,41634,42139,42613,43136,43653,44229,44812,45341,45905,46466,47026,47627,48225,48849,49430,50039,50636,51279,51955,52663,53284,53926,54637,55341,56052,56804,57596,58372,59166,60022,60880,61788,62626,63522,64383,65320,66253,67183,68185,69210,70186,71253,72247,73278,74362,75391,76487,77656,78811,80039,81221,82477,83825,85110,86421,87739,89131,90437,91809,93166,94550,96020,97469,98990,100501,101961
1,1,1,1,1,1,1,3,4,5,8,9,10,11,13,14,15,15,17,18,23,24,25,26,27,31,32,34,35,37,38,40,44,45,45,47,54,57,59,60,66,68,70,74,80,81,86,93,102,113,127,138,161,173,184,195,214,226,242,259,281,300,315,330,344,358,372,383,396,409,431,441,451,457,462,470,486,495,508,517,526,537,545,552,557,563,570,575,578,581,597,607,618,633,641,651,660,675,680,689,700,713,727,739,749,767,776,791,810,831,849,870,889,911,923,951,964,975,994,1017,1027,1038,1055,1070,1089,1117,1134,1152,1175,1195,1212,1223,1247,1267,1300,1320,1345,1370,1396,1427,1460,1484,1511,1529,1547,1574,1594,1622,1643,1666,1682,1699,1716,1738,1768,1801,1821,1856,1884,1912,1943,1970,1995,2029,2070,2104,2141,2180,2217,2268,2310,2392,2474,2557,2660,2769,2888,2997,3103,3216,3324,3454,3571,3684,3794,3920,4040,4148,4245,4341,4426,4532,4614,4685,4763,4827,4903,4970,5035,5107,5180,5246,5298,5361,5424,5478,5527,5575,5629,5685,5743,5786,5841,5890,5941,5990,6038,6105,6157,6189,6246,6292,6345,6391,6445,6493,6534,6591,6645,6707,6759,6807,6856,6911,6964,7012,7065,7127,7171,7232,7293,7352,7405,7466,7520,7576,7647,7713,7772,7844,7903,7978,8060,8133,8222,8307,8386,8447,8532,8623,8729,8826,8933,9036,9138,9251,9354,9467,9588,9716,9836,9961,10062,10182,10319,10459,10585,10726,10873,11034,11178,11325,11490,11669,11827,12012,12155,12287,12433,12616,12796,12951,13092,13265,13451,13649,13838,14044,14272,14487,14712,14936,15183,15452,15746,16029,16360,16731,17097,17444,17826,18245,18626,19025,19373,19757,20200,20572,20977,21381,21769,22197,22618,23035,23446,23854,24304,24777,25252,25747,26253,26741,27271,27850,28373,28955,29572,30178,30820,31496,32169,32908,33618,34318,35026,35807,36618,37409,38205,39032,39863,40654,41561,42358,43205,44054,44968,45881,46869,47800,48736,49687,50598,51634,52687,53678,54741,55819,56953,58158,59283,60493,61721,62940,64250,65527,66872,68192,69539,70971,72398,73960,75578,77187,78881,80581,82362,84201,86044,87959,89868,91830,93872,95866,97841,99865,102000,104034,106191,108290,110405,112618,114907,117214,119547,121839,124132,126464,128865,131263,133638,136160,138719,141287,143892,146673,149306,152076,154974,157848,160775,163780,166823,169966,173004,176247,179526,182849,186125,189497,192951,196379,200043,203659,207260,211009,214756,218492,222393,226372,230424,234523,238607,242636,246949,251138,255403,259646,263982,268541,273146,277688,282381,287068,291782,296662,301716,306800,312153,317440,322925,328473,333990,339738,345640,351611,357576,363628,369825,376060,382588,389052,395752,402455,409154,416075,423102,430195,437334,444527,452075,459560,467190,474916,482606,490588,498602,506614,514734,523114,531493,539965,548781,557802,566654,575638,584719
1,1,1,2,3,4,5,7,7,9,13,15,17,20,21,28,33,35,39,41,43,50,56,62,66,68,73,75,81,84,86,88,92,97,100,105,110,113,117,123,125,128,129,132,136,136,140,144,150,152,158,163,169,175,177,180,190,197,204,209,217,222,230,235,245,254,260,265,275,280,289,297,302,313,322,339,348,357,361,370,377,386,396,402,414,423,433,443,448,458,471,480,487,497,506,516,528,538,544,549,565,577,583,589,599,614,626,633,640,645,659,665,671,688,695,707,717,725,740,753,767,775,787,800,815,831,842,853,867,884,898,917,929,946,963,976,994,1006,1023,1045,1062,1079,1094,1113,1129,1150,1169,1192,1202,1216,1234,1245,1262,1280,1296,1315,1341,1361,1378,1386,1410,1424,1438,1451,1466,1489,1496,1508,1532,1556,1569,1588,1605,1618,1631,1645,1663,1675,1693,1708,1727,1736,1749,1758,1778,1797,1811,1823,1842,1859,1882,1896,1922,1940,1949,1973,1998,2025,2048,2076,2093,2117,2135,2161,2186,2200,2225,2254,2278,2298,2318,2345,2372,2398,2439,2466,2484,2512,2542,2577,2602,2631,2664,2696,2736,2773,2809,2834,2864,2895,2929,2970,3010,3051,3088,3122,3157,3196,3232,3277,3322,3362,3408,3448,3505,3558,3607,3660,3709,3745,3793,3844,3888,3934,3980,4026,4068,4130,4176,4231,4278,4331,4377,4418,4459,4517,4564,4620,4684,4741,4784,4845,4907,4974,5042,5119,5202,5279,5362,5467,5570,5661,5746,5846,5929,6031,6123,6221,6345,6438,6564,6686,6825,6964,7095,7235,7362,7498,7621,7761,7900,8040,8195,8362,8531,8670,8831,8978,9143,9345,9563,9764,9956,10176,10395,10646,10868,11116,11370,11624,11921,12202,12511,12813,13085,13431,13789,14130,14491,14844,15196,15555,15900,16306,16729,17088,17527,17981,18423,18952,19436,19947,20503,21130,21692,22276,22914,23554,24209,24851,25538,26224,26974,27675,28377,29133,29908,30722,31554,32409,33242,34096,34946,35787,36639,37551,38431,39260,40168,41076,42018,42993,43962,44974,46030,47091,48189,49281,50470,51606,52792,54031,55333,56673,58024,59474,60976,62413,63945,65492,67038,68682,70396,72065,73749,75469,77242,79015,80745,82539,84331,86110,87980,89812,91667,93618,95510,97431,99440,101465,103684,105842,108039,110230,112323,114605,116906,119264,121705,124155,126799,129452,132145,134854,137544,140271,143018,145801,148538,151493,154527,157506,160555,163751,166943,169993,173218,176402,179729,183104,186572,190003,193590,197070,200666,204427,208185,212080,215941,219831,223894,227964,232116,236350,240626,244906,249414,254040,258650,263330,268043,272828,277762,282816,287950,293289,298621,303956,309568,315224,320862,326594,332303,338199,344219,350381,356493,362662,369276,375721,382335,388859,395532,402170,409010,416005,423199,430494,437812,445179,452740,460220,468027,476019,484074,492148,500242
1,1,1,1,1,3,5,7,9,9,9,9,11,13,13,13,13,13,13,13,13,15,20,21,21,21,21,24,29,31,34,37,38,41,42,45,50,54,58,60,65,73,74,81,85,90,92,100,103,106,113,121,128,135,141,147,154,163,167,177,194,205,215,224,234,246,254,266,277,288,297,307,317,326,328,334,343,348,352,362,373,378,386,392,398,407,414,423,434,442,448,453,458,463,470,478,489,493,500,511,520,529,536,543,551,557,561,570,576,581,589,601,605,608,613,617,620,621,626,629,636,639,642,646,648,650,654,658,662,665,671,678,679,681,681,682,689,695,702,705,712,716,719,728,733,737,744,749,756,762,767,779,783,792,802,812,818,823,825,828,834,839,850,857,866,870,877,882,887,895,905,907,911,917,922,925,934,938,941,949,960,969,982,989,1002,1011,1014,1019,1033,1037,1048,1058,1068,1070,1082,1088,1097,1111,1115,1125,1133,1147,1152,1162,1168,1179,1190,1197,1211,1222,1231,1237,1242,1254,1264,1275,1290,1302,1304,1313,1330,1343,1357,1367,1379,1388,1404,1417,1430,1442,1452,1466,1483,1497,1516,1532,1550,1568,1592,1612,1630,1652,1669,1687,1705,1725,1748,1774,1790,1810,1829,1843,1861,1888,1900,1916,1924,1936,1961,1979,2006,2018,2042,2067,2090,2113,2126,2146,2168,2197,2217,2239,2261,2281,2303,2329,2360,2384,2419,2445,2471,2496,2533,2572,2607,2640,2680,2712,2760,2814,2839,2879,2913,2955,2996,3024,3071,3111,3159,3203,3256,3299,3347,3381,3423,3462,3503,3569,3609,3662,3728,3786,3839,3900,3980,4063,4142,4227,4283,4365,4449,4523,4610,4701,4790,4866,4954,5060,5174,5271,5391,5481,5578,5685,5794,5912,6047,6181,6300,6431,6578,6711,6861,7006,7138,7301,7464,7677,7875,8085,8305,8560,8792,9039,9334,9593,9854,10106,10393,10685,10978,11312,11634,12012,12341,12671,13025,13419,13776,14196,14589,15012,15426,15871,16343,16796,17252,17723,18157,18624,19109,19590,20110,20611,21132,21682,22241,22788,23323,23872,24419,24995,25565,26082,26609,27157,27678,28274,28828,29368,29913,30445,31032,31671,32284,32881,33480,34096,34745,35422,36081,36767,37425,38119,38820,39511,40224,40932,41642,42347,43077,43793,44529,45284,46059,46839,47596,48377,49245,50117,50964,51806,52699,53551,54492,55409,56370,57295,58325,59403,60398,61503,62563,63666,64835,65990,67215,68454,69742,71054,72417,73746,75114,76518,78003,79496,81020,82598,84239,85952,87572,89228,90963,92742,94568,96417,98282,100178,102111,104063,106160,108262,110414,112587,114829,117103,119313,121644,123970,126341,128857,131314,133884,136448,138987,141650,144340,147071,149908,152698,155610,158532,161533,164507,167585,170834,174145
1,1,2,2,4,4,4,6,7,9,10,11,15,16,18,19,21,26,27,29,32,33,37,38,38,41,46,51,56,57,62,63,67,67,71,74,75,78,82,87,89,90,90,98,108,115,121,126,130,135,138,150,159,164,167,171,183,191,198,203,208,212,219,227,230,234,249,262,274,286,291,302,309,323,329,345,363,376,388,398,415,432,450,465,474,489,514,533,547,570,595,625,655,679,704,737,773,799,845,880,908,934,976,1010,1053,1093,1139,1183,1230,1272,1314,1364,1406,1453,1501,1561,1630,1708,1778,1851,1929,2008,2093,2191,2276,2365,2484,2601,2696,2787,2917,3033,3140,3254,3370,3505,3623,3737,3873,3977,4090,4224,4351,4481,4623,4787,4941,5078,5237,5409,5564,5745,5900,6073,6264,6467,6634,6824,7011,7212,7428,7670,7902,8151,8401,8669,8915,9176,9431,9673,9937,10195,10480,10788,11073,11398,11701,11995,12277,12598,12894,13199,13530,13875,14226,14598,14992,15381,15798,16232,16639,17088,17562,18083,18621,19147,19758,20347,20937,21549,22180,22775,23459,24134,24794,25528,26286,27030,27831,28600,29418,30223,31087,31951,32813,33678,34545,35402,36243,37171,38076,39038,40016,40934,41858,42828,43826,44876,46018,47135,48258,49379,50491,51698,52934,54109,55415,56666,57897,59141,60480,61756,63083,64449,65852,67220,68637,69977,71395,72840,74297,75754,77265,78794,80329,81855,83466,85064,86732,88433,90178,91949,93768,95724,97628,99682,101772,103884,106053,108280,110594,112925,115274,117739,120139,122646,125176,127661,130287,132739,135399,138049,140661,143264,146004,148751,151654,154466,157262,160131,163058,165994,168846,171865,174804,177772,180802,183947,187204,190401,193735,197165,200534,203992,207375,210949,214463,218098,221631,225413,229201,233047,236980,240956,244968,249110,253310,257656,262061,266521,270904,275256,279803,284441,289132,294033,299059,304131,309112,314371,319779,325153,330819,336358,342062,347984,353935,359954,366155,372324,378642,385075,391469,398059,404779,411592,418346,425300,432200,439158,446216,453185,460333,467490,474793,482105,489505,497078,504668,512301,519999,527854,535667,543727,552017,560368,568792,577569,586422,595387,604448,613709,623157,632405,641873,651467,660853,670836,681017,691210,701576,711977,722420,733172,744012,754950,766040,776940,788426,799897,811296,822726,834456,846313,858601,871029,883632,896401,908950,922082,934813,948122,961284,974506,988037,1001767,1015337,1029246,1043161,1057235,1071444,1085848,1100581,1115384,1130313,1145110,1160059,1175350,1190800,1206490,1222169,1238049,1254278,1270708,1287161,1303827,1320455,1337202,1354236,1371132,1388411,1405640,1423346,1440775,1458406,1476037,1493635,1511509,1529431,1547427,1565854,1583903,1602107,1620475,1639167,1657912,1676983,1695827,1714681,1733708,1753023,1772158,1791557,1811453,1831583,1851734,1872107,1892734,1913281,1934187,1955092,1976044,1997252,2018546,2039943,2061428,2083370,2105081,2127148,2149204,2171501,2193967,2216675,2239377,2262425,2285291,2308463,2331334,2354599,2377842,2401311,2425230,2448877,2472976,2497019,2521115,2545650,2570078,2594653,2619499,2644222,2669186,2694257,2719266,2744724,2770079,2795137
1,1,1,1,2,2,2,3,3,3,4,6,6,6,7,9,9,9,10,10,11,11,12,13,15,17,19,19,21,23,23,24,25,30,33,37,43,45,55,57,60,63,66,68,69,74,77,80,83,90,92,94,100,104,107,111,114,124,128,133,139,146,151,156,166,170,176,179,182,186,191,193,196,199,203,209,215,224,230,232,245,248,257,263,271,284,290,296,308,316,335,353,370,378,387,397,412,425,438,458,471,481,486,505,514,534,544,553,573,594,610,632,657,670,690,714,732,751,770,787,806,825,840,858,887,905,928,954,969,1000,1036,1060,1087,1113,1140,1169,1199,1233,1267,1299,1335,1364,1399,1426,1454,1483,1509,1543,1563,1595,1627,1647,1680,1722,1755,1788,1822,1850,1889,1934,1967,2002,2035,2070,2095,2126,2151,2183,2218,2245,2273,2301,2333,2364,2388,2416,2439,2469,2498,2529,2561,2586,2616,2643,2673,2716,2742,2774,2796,2821,2843,2861,2877,2899,2922,2944,2965,2994,3028,3059,3082,3108,3141,3176,3208,3232,3260,3295,3319,3350,3374,3396,3426,3450,3468,3491,3520,3547,3586,3614,3644,3670,3695,3722,3748,3770,3802,3831,3865,3900,3934,3964,4004,4037,4061,4090,4121,4153,4195,4228,4250,4280,4310,4344,4385,4412,4448,4478,4520,4551,4596,4626,4656,4690,4719,4765,4800,4832,4857,4885,4916,4946,4973,5003,5024,5054,5085,5120,5152,5179,5217,5259,5290,5320,5361,5395,5438,5467,5505,5538,5574,5619,5655,5694,5733,5771,5814,5862,5894,5936,5969,6001,6044,6082,6114,6159,6193,6243,6282,6325,6368,6422,6469,6510,6555,6606,6648,6688,6720,6762,6802,6839,6872,6919,6960,7007,7046,7099,7132,7180,7232,7273,7323,7371,7416,7456,7509,7557,7609,7661,7698,7745,7791,7852,7911,7961,7996,8037,8081,8128,8180,8239,8301,8352,8393,8447,8498,8553,8604,8655,8712,8776,8828,8874,8945,9000,9063,9118,9170,9223,9286,9346,9399,9474,9517,9585,9647,9702,9766,9824,9905,9982,10070,10156,10240,10327,10421,10547,10652,10747,10848,10956,11078,11163,11277,11391,11490,11591,11687,11787,11872,11965,12045,12143,12252,12361,12478,12598,12713,12825,12941,13068,13181,13289,13401,13529,13660,13791,13918,14054,14174,14297,14439,14553,14682,14811,14943,15079,15224,15360,15473,15577,15701,15839,15960,16100,16223,16373,16541,16707,16859,17021,17184,17359,17514,17721,17922,18115,18316,18528,18759,19007,19229,19478,19744,19988,20256,20537,20848,21110,21386,21674,22001,22356,22674,23017,23340,23656,24059,24473,24918,25373,25820,26278,26777,27296,27796,28282,28840,29432,29975,30561,31134,31786,32459,33102,33713,34383,35092,35768,36475,37201,37930,38658,39458,40205,40949,41702,42416,43210,43998,44788,45668,46543,47353,48252,49150
1,1,1,1,1,1,2,3,5,6,9,9,10,11,13,14,15,17,18,19,22,23,27,29,35,37,45,48,49,53,57,60,62,62,68,72,77,83,88,96,101,102,106,109,117,124,127,132,134,140,149,156,162,170,173,194,215,244,269,313,363,417,461,506,550,607,654,702,750,809,860,916,965,1013,1075,1133,1184,1220,1269,1316,1353,1403,1450,1496,1546,1580,1631,1683,1727,1772,1824,1862,1902,1950,2002,2069,2147,2241,2346,2446,2547,2672,2800,2929,3043,3169,3292,3424,3571,3698,3828,3977,4146,4294,4442,4612,4801,4991,5187,5435,5648,5839,6094,6357,6628,6920,7187,7485,7764,8104,8430,8771,9095,9359,9684,10002,10326,10604,10900,11160,11426,11700,11965,12247,12502,12774,12995,13250,13501,13738,13960,14197,14425,14665,14938,15198,15413,15691,15953,16219,16539,16853,17176,17471,17790,18086,18354,18682,19016,19328,19626,19951,20244,20534,20860,21170,21457,21799,22132,22463,22809,23159,23490,23892,24246,24599,24969,25338,25731,26125,26533,26963,27414,27840,28318,28788,29292,29792,30296,30814,31397,31989,32572,33199,33821,34408,35002,35599,36292,36983,37685,38382,39096,39799,40505,41223,41923,42670,43412,44195,44938,45744,46558,47382,48210,49077,49972,50887,51888,52828,53781,54799,55795,56814,57853,58993,60058,61149,62321,63510,64692,65844,66976,68269,69569,70928,72313,73649,75035,76445,77898,79449,81001,82601,84194,85834,87603,89359,91077,92831,94591,96457,98436,100389,102416,104491,106620,108736,110807,113022,115255,117572,119875,122229,124765,127308,129933,132564,135255,137943,140630,143501,146382,149283,152238,155215,158312,161546,164827,168017,171333,174619,177958,181494,184997,188720,192368,196030,200041,203989,207923,211878,215906,220124,224400,228750,233231,237938,242720,247518,252365,257297,262323,267436,272650,278008,283461,288982,294511,300319,306095,311828,317741,323802,330027,336178,342495,348820,355386,362047,368660,375406,382274,389247,396194,403349,410580,418058,425656,433214,440885,448816,456864,465069,473427,481735,490227,498751,507661,516648,525584,534569,543746,553151,562571,572113,581765,591479,601574,611794,621992,632506,643071,653988,665071,676217,687692,699277,710958,722696,734400,746308,758319,770626,782941,795248,807617,820074,832593,845245,858213,870962,884124,897322,910745,924319,938167,951938,965923,980088,994171,1008401,1022729,1037217,1051983,1066778,1081665,1096639,1111808,1127005,1142434,1158022,1173729,1189729,1205779,1221990,1238256,1254641,1271210,1287750,1304647,1321816,1338755,1356270,1373609,1391073,1408672,1426436,1444263,1462288,1480605,1498936,1517505,1536049,1554825,1573502,1592346,1611421,1630681,1650062,1669588,1689065,1708894,1728949,1749043,1768960,1789263,1809738,1829884,1850252,1871005,1891807,1912817,1933717,1954825,1975808,1997091,2018302,2039667,2061115,2082804,2104783,2126587,2148504,2170940,2193453,2215844,2238305,2260806,2283690,2306453,2329544,2352564,2375868,2399237,2422781,2446205,2469720,2493854,2517578,2541521,2565474,2589587,2613748,2638108,2662667,2687341,2712203,2737235,2761964,2786861,2812045,2837129,2862451,2887904,2913556,2939154,2965159,2990863,3017041,3043166,3069258,3095673,3121869,3148497,3174990,3201589
1,1,1,1,1,1,1,4,4,4,4,5,6,6,9,13,13,13,15,19,20,24,26,28,31,34,39,46,50,52,54,57,62,67,72,74,78,84,94,101,106,115,127,132,138,146,157,167,182,190,206,212,220,224,235,251,265,278,286,308,321,334,349,363,371,379,399,409,425,436,449,463,473,496,514,522,535,557,574,588,603,618,633,645,657,674,696,712,727,741,755,769,792,813,832,855,878,901,923,947,977,1006,1037,1075,1113,1135,1166,1191,1228,1259,1290,1317,1350,1370,1399,1428,1471,1512,1535,1564,1594,1627,1659,1692,1727,1770,1805,1859,1893,1955,2014,2056,2098,2150,2221,2285,2343,2406,2482,2568,2635,2705,2775,2854,2926,2993,3071,3158,3246,3325,3408,3509,3622,3735,3839,3933,4033,4119,4220,4299,4399,4502,4638,4762,4876,5009,5143,5254,5371,5473,5578,5702,5819,5947,6063,6198,6310,6450,6603,6761,6906,7050,7190,7359,7551,7717,7902,8089,8265,8430,8611,8825,8983,9185,9364,9526,9725,9915,10078,10243,10428,10583,10778,10979,11230,11488,11735,11986,12255,12483,12732,12971,13230,13461,13735,13997,14279,14563,14852,15191,15494,15843,16126,16448,16721,17054,17352,17646,17970,18273,18586,18919,19241,19611,19954,20300,20658,21054,21465,21856,22199,22540,22919,23271,23606,23974,24345,24712,25094,25444,25794,26189,26558,26943,27311,27710,28119,28482,28869,29255,29625,30037,30453,30885,31362,31844,32303,32763,33251,33754,34306,34868,35431,36047,36658,37288,37915,38605,39302,40049,40792,41601,42389,43175,43968,44761,45567,46386,47184,48049,48933,49802,50734,51686,52738,53810,54896,55985,57102,58284,59396,60499,61653,62849,64067,65278,66522,67800,69089,70387,71629,72862,74092,75486,76762,78067,79408,80808,82158,83583,84982,86408,87929,89451,91015,92639,94386,96038,97742,99460,101295,103127,104953,106789,108644,110547,112559,114610,116708,118788,120846,123023,125243,127569,129884,132293,134688,137099,139458,141931,144532,147300,149932,152605,155412,158204,161066,164004,166985,170034,173146,176326,179700,183033,186344,189840,193352,196887,200539,204095,207685,211453,215248,219217,223104,227138,231357,235552,240074,244661,249072,253815,258540,263405,268300,273324,278348,283483,288714,293922,299319,304781,310287,315847,321666,327462,333316,339196,345514,351668,357897,364099,370596,377132,383838,390646,397545,404582,411619,418845,426124,433456,440837,448535,456412,464389,472509,480781,489139,497547,506172,514835,523679,532631,541734,551049,560399,569791,579486,589274,599236,609197,619222,629438,639718,650205,660571,671199,681929,692984,703866,715098,726366,737727,749350,761289,773314,785438,797650,810054,822709,835496,848693,861908,875429,889053,902877,916808,930881,945267,959639,974069,988693,1003524,1018334,1033325,1048593,1063639,1079024,1094345,1109901,1125574,1141275,1157252,1173317,1189575,1206027,1222660,1239734,1256715,1273820,1291538,1309305,1327155,1345099,1363196,1381570,1400085,1418380,1437136,1455835,1474911,1494138,1513529,1532833,1552354,1572024
1,1,1,1,1,1,1,1,4,5,5,5,6,7,7,8,9,12,15,16,16,17,17,18,20,22,23,23,25,32,38,41,43,46,49,53,57,59,63,70,80,83,86,89,93,100,104,111,117,120,127,131,136,143,148,152,159,164,170,176,183,187,201,207,218,225,233,242,250,257,264,274,278,285,290,297,306,315,317,324,330,332,338,343,348,354,362,368,373,377,381,385,392,395,399,400,405,408,419,421,425,437,445,452,460,462,470,476,487,494,499,509,511,519,528,533,540,548,554,561,570,580,588,596,601,604,612,621,624,631,640,651,657,665,673,678,684,688,693,700,707,712,713,718,724,731,739,746,750,755,761,770,775,781,786,793,800,806,814,819,826,835,841,850,860,865,870,876,880,890,898,906,915,927,933,938,939,949,960,968,978,986,992,999,1015,1025,1035,1048,1054,1060,1067,1081,1088,1099,1107,1112,1121,1125,1137,1141,1153,1159,1167,1176,1179,1187,1190,1197,1203,1209,1214,1220,1225,1231,1238,1242,1243,1246,1251,1254,1256,1258,1262,1269,1272,1278,1283,1287,1294,1296,1300,1302,1306,1310,1315,1324,1331,1339,1346,1352,1361,1369,1371,1379,1394,1406,1413,1429,1443,1458,1474,1483,1503,1518,1528,1541,1558,1581,1595,1623,1650,1664,1684,1699,1718,1734,1754,1779,1801,1818,1844,1869,1891,1921,1948,1993,2024,2078,2120,2147,2183,2222,2278,2317,2357,2401,2445,2486,2532,2566,2609,2630,2676,2712,2755,2792,2825,2849,2881,2913,2944,2968,3007,3036,3062,3095,3120,3150,3173,3203,3233,3261,3278,3301,3317,3334,3365,3398,3425,3444,3470,3497,3530,3552,3581,3603,3628,3654,3671,3699,3728,3752,3774,3799,3823,3854,3877,3902,3934,3958,3978,3998,4024,4053,4078,4099,4121,4145,4178,4200,4228,4258,4281,4314,4336,4368,4403,4446,4478,4509,4538,4577,4616,4651,4688,4726,4770,4806,4857,4907,4962,5000,5045,5088,5149,5198,5249,5290,5326,5372,5406,5452,5509,5566,5626,5678,5732,5780,5837,5898,5947,6003,6074,6141,6212,6271,6330,6391,6451,6524,6582,6637,6710,6765,6825,6893,6957,7016,7082,7157,7204,7259,7330,7390,7453,7520,7595,7665,7735,7805,7875,7940,8014,8087,8163,8240,8325,8395,8463,8535,8619,8698,8794,8864,8946,9031,9114,9198,9277,9365,9446,9557,9652,9746,9856,9937,10030,10133,10246,10343,10446,10547,10665,10785,10897,10998,11120,11225,11334,11480,11612,11750,11871,12006,12150,12325,12479,12642,12827,13008,13197,13386,13575,13787,14048,14281,14497,14741,14966,15197,15435,15670,15948,16215,16446,16714,16999,17263,17555,17854,18134,18434,18721,19019,19319,19644,19933
1,1,1,2,3,4,4,6,8,12,12,15,21,23,24,27,29,33,36,40,42,45,53,62,67,74,80,86,92,98,104,108,121,133,142,148,158,167,173,178,185,192,208,215,227,244,260,272,282,299,312,324,338,363,384,407,434,453,471,490,516,532,554,573,605,629,656,677,690,721,740,765,787,808,833,856,883,903,921,947,974,1004,1031,1061,1089,1114,1141,1175,1204,1235,1262,1288,1324,1359,1404,1433,1456,1484,1504,1539,1562,1599,1640,1667,1712,1741,1782,1815,1855,1888,1927,1957,1994,2029,2067,2104,2141,2185,2217,2243,2291,2331,2364,2392,2432,2471,2506,2560,2598,2643,2683,2725,2763,2800,2853,2894,2955,3001,3065,3118,3173,3232,3278,3345,3400,3464,3541,3618,3685,3778,3857,3943,4009,4095,4180,4260,4354,4440,4527,4607,4697,4781,4865,4960,5059,5158,5259,5336,5420,5530,5627,5742,5846,5944,6054,6174,6285,6388,6527,6651,6764,6896,7015,7131,7249,7374,7513,7638,7771,7929,8108,8258,8418,8586,8771,8973,9180,9371,9575,9793,10026,10238,10453,10700,10969,11239,11485,11718,12007,12289,12596,12868,13183,13500,13803,14133,14460,14794,15148,15502,15848,16199,16580,16907,17279,17651,18031,18408,18823,19219,19617,20041,20479,20945,21393,21855,22304,22774,23260,23784,24335,24908,25462,26000,26620,27214,27805,28476,29103,29766,30407,31066,31730,32437,33121,33902,34625,35368,36203,37024,37820,38611,39447,40257,41128,41990,42893,43857,44803,45761,46741,47765,48889,49974,51197,52432,53678,54981,56273,57614,59009,60458,61857,63273,64659,66056,67504,68943,70459,72024,73607,75131,76690,78327,79980,81660,83410,85237,87124,89121,91187,93213,95196,97237,99416,101644,103861,106010,108327,110687,113100,115608,118142,120638,123214,125775,128354,131008,133739,136542,139410,142225,145037,147946,150981,154044,157158,160217,163397,166704,169956,173401,176888,180435,183944,187596,191354,195087,198972,202963,207061,211222,215225,219558,223786,228126,232568,237053,241663,246405,251168,255991,260780,265767,270799,275769,280823,286146,291652,297152,302742,308513,314341,320385,326356,332606,338903,345399,351885,358571,365314,372055,379015,386074,393178,400426,407740,415159,422820,430375,438173,445767,453558,461502,469442,477429,485664,493774,502041,510519,519066,527592,536163,545059,554041,563114,572376,581724,591057,600564,610364,620157,630129,640123,650198,660436,670795,681007,691629,702354,713218,724310,735470,746957,758482,770440,782176,794516,806937,819401,832341,845449,858588,871843,885113,898712,912361,926367,940689,955144,969485,984065,998850,1013760,1028729,1043865,1059338,1075135,1090856,1106623,1122478,1138586,1154730,1170867,1187242,1203627,1220146,1236752,1253676,1270587,1287532,1304525,1321920,1339320,1356796,1374507,1392463,1410422,1428817,1447062,1465420,1484059,1502470,1521441,1540247,1559153,1578017,1597158,1616439,1635782,1655117,1674289,1694215,1714171,1734010,1753913,1774206,1794553,1814767,1835160,1855763,1876344,1897031,1918061,1939025,1960204,1981374,2002532,2024012,2045369,2066993,2088568,2110274,2131905,2153897,2176010,2198110
1,1,1,2,2,6,6,8,8,9,10,12,14,15,17,21,23,26,30,35,38,46,48,52,55,63,68,71,71,72,74,81,85,89,91,94,97,99,101,107,112,115,118,119,121,123,125,128,132,134,138,141,145,150,151,155,155,156,159,161,162,165,168,169,174,177,177,182,185,187,190,193,198,199,202,204,205,205,207,207,207,209,209,210,211,211,214,215,216,216,217,217,217,217,218,218,218,221,221,223,224,225,226,227,229,233,238,241,242,242,242,245,247,250,251,255,256,260,261,265,270,271,272,276,280,283,284,287,294,298,300,300,303,308,314,318,320,326,330,335,342,347,355,358,362,367,380,390,392,394,405,406,408,415,422,429,440,446,453,460,465,476,482,490,499,511,518,526,545,557,574,584,592,600,616,628,637,656,673,685,698,711,726,734,739,756,769,776,788,797,814,823,844,857,880,903,917,939,957,974,993,1013,1038,1065,1093,1118,1139,1155,1176,1202,1217,1244,1257,1282,1299,1317,1338,1360,1370,1379,1387,1399,1407,1424,1433,1446,1451,1466,1476,1488,1498,1518,1533,1546,1552,1569,1580,1592,1605,1618,1625,1637,1647,1659,1669,1681,1695,1704,1719,1730,1740,1753,1771,1788,1804,1823,1839,1855,1864,1879,1899,1910,1922,1935,1954,1962,1976,1992,2001,2013,2028,2036,2047,2054,2059,2068,2072,2080,2093,2112,2131,2144,2165,2187,2230,2276,2322,2395,2473,2564,2663,2757,2843,2956,3074,3212,3336,3473,3615,3761,3925,4100,4260,4404,4548,4707,4861,5007,5187,5323,5464,5597,5715,5832,5951,6062,6159,6266,6359,6451,6557,6646,6734,6820,6900,6971,7043,7112,7196,7266,7336,7414,7487,7563,7643,7715,7790,7859,7938,8000,8083,8160,8225,8309,8362,8427,8502,8569,8643,8711,8767,8817,8887,8962,9026,9091,9165,9259,9334,9399,9473,9548,9631,9693,9757,9823,9897,9983,10046,10107,10173,10233,10315,10399,10461,10527,10593,10654,10715,10768,10846,10908,10989,11057,11117,11192,11253,11330,11406,11490,11555,11635,11726,11811,11912,12014,12100,12192,12276,12364,12453,12542,12635,12716,12788,12896,12998,13096,13178,13258,13343,13436,13529,13619,13728,13810,13899,14000,14103,14208,14306,14410,14513,14603,14701,14807,14917,15030,15134,15249,15356,15463,15578,15700,15801,15909,15996,16128,16223,16335,16471,16567,16691,16833,16967,17076,17196,17313,17435,17574,17706,17842,17976,18111,18277,18412,18555,18705,18850,19001,19154,19316,19470,19626,19819,19981,20200,20374,20576,20781,21009,21248,21494,21756,22054,22346,22638,22944,23257,23560,23911,24302,24722,25107,25505,25965,26392,26837,27359,27889,28371,28889,29415,29924,30444,30988,31516
1,1,1,1,2,3,7,7,9,11,11,11,11,11,12,15,17,17,18,22,24,26,31,35,38,41,42,44,47,55,60,65,67,77,79,83,91,95,109,118,125,136,139,153,158,167,175,181,187,196,206,215,224,236,244,256,267,273,285,298,317,332,340,353,362,379,394,412,434,458,477,493,524,551,580,602,633,663,683,705,739,782,816,850,893,934,964,996,1027,1067,1103,1138,1175,1221,1249,1296,1342,1382,1426,1477,1511,1552,1579,1613,1661,1715,1759,1809,1864,1917,1986,2044,2109,2177,2258,2313,2390,2471,2558,2646,2720,2817,2920,3025,3098,3211,3304,3409,3518,3615,3721,3842,3951,4063,4178,4295,4416,4545,4669,4787,4924,5048,5191,5315,5446,5572,5720,5870,6005,6146,6319,6481,6621,6773,6940,7088,7282,7467,7643,7826,7996,8152,8323,8486,8652,8840,9049,9248,9460,9662,9868,10069,10290,10497,10717,10942,11167,11436,11667,11924,12174,12422,12684,12960,13230,13525,13803,14133,14437,14744,15067,15395,15735,16086,16499,16894,17254,17675,18073,18535,19009,19475,19975,20511,21008,21559,22133,22717,23361,23956,24638,25281,25965,26628,27330,28122,28881,29653,30501,31317,32157,33037,33863,34728,35602,36548,37462,38367,39357,40331,41367,42416,43435,44460,45591,46684,47828,48997,50164,51313,52590,53834,55137,56487,57956,59394,60858,62321,63841,65449,67013,68641,70250,71922,73559,75277,76932,78598,80293,82103,83864,85554,87351,89210,91108,93029,94914,96925,98961,100997,103108,105282,107392,109554,111831,114099,116335,118689,121061,123467,126014,128479,131045,133470,136059,138701,141312,143954,146717,149487,152339,155223,158080,160928,163853,166911,169988,173177,176310,179591,182839,186206,189598,192939,196418,199813,203342,206916,210450,214237,217892,221760,225722,229740,233700,237739,241857,246009,250340,254753,259431,264139,268828,273678,278559,283458,288480,293623,298827,304036,309357,314779,320205,325761,331578,337422,343206,349160,355112,361217,367525,373729,379994,386428,393015,399514,406133,413111,420105,427124,434289,441733,449191,456930,464726,472546,480648,489038,497471,506073,514771,523946,532900,542296,551637,561220,570950,580798,590700,600966,611460,621970,632511,643171,654028,665040,676339,687556,699000,710438,722246,734066,746008,758252,770222,782501,794840,807502,820131,832990,846280,859742,873191,886770,900415,914500,928817,943458,958016,972976,988068,1003111,1018233,1033606,1049194,1064719,1080178,1095713,1111683,1127785,1143809,1159778,1176039,1192198,1208456,1224918,1241188,1257803,1274615,1291782,1308658,1325701,1342838,1360491,1378035,1395966,1413905,1431880,1450311,1468706,1487378,1506039,1524899,1544118,1563264,1582711,1602365,1622029,1641687,1661676,1681745,1701880,1722196,1742711,1763341,1783953,1804676,1825348,1846303,1867418,1888344,1909630,1931335,1952682,1974101,1995886,2017785,2039785,2061817,2084210,2106495,2128943,2151286,2173831,2196290,2218792,2242027,2265061,2288027,2311047,2334286,2357640,2381322,2405118,2428620,2452608,2476506,2500366,2524355,2548612,2572831,2597232,2621870,2646531,2671704,2696864,2722146,2747400,2772835,2798470,2824072,2849805,2875445,2901426,2927613,2953467,2979908
1,1,2,3,4,4,6,6,7,7,8,10,10,10,10,10,11,13,16,17,19,21,22,26,30,32,34,37,42,44,46,47,51,55,57,64,67,73,79,81,87,94,100,107,112,113,118,120,121,130,138,145,147,158,164,168,171,174,174,179,179,185,190,191,196,198,199,202,210,220,222,228,235,240,242,251,257,263,265,274,280,288,296,303,310,313,323,330,333,340,347,360,368,375,386,394,400,411,424,441,451,461,474,482,491,497,507,518,526,535,546,552,562,572,581,591,598,606,615,632,640,646,653,663,671,675,681,692,698,703,711,718,722,726,730,736,742,746,757,762,766,771,777,785,791,796,802,803,809,814,818,823,830,836,841,849,851,857,863,868,877,881,887,893,900,905,912,920,926,931,937,949,956,965,973,977,982,987,998,1006,1016,1027,1036,1047,1053,1063,1073,1083,1095,1100,1113,1121,1133,1142,1151,1166,1179,1193,1210,1224,1242,1255,1275,1296,1315,1333,1354,1369,1384,1410,1438,1466,1484,1505,1523,1547,1563,1588,1599,1618,1644,1670,1693,1716,1736,1754,1772,1793,1819,1839,1863,1888,1909,1928,1951,1968,1996,2021,2043,2072,2099,2126,2143,2165,2190,2212,2235,2265,2290,2324,2358,2388,2416,2436,2468,2501,2526,2556,2585,2615,2659,2699,2739,2772,2803,2835,2882,2920,2973,3018,3057,3100,3150,3199,3261,3305,3343,3385,3431,3477,3529,3572,3634,3688,3751,3803,3859,3900,3944,4011,4095,4161,4227,4295,4363,4444,4515,4588,4660,4738,4828,4918,4986,5049,5149,5253,5342,5431,5534,5632,5734,5844,5941,6019,6098,6194,6295,6399,6504,6614,6726,6819,6923,7024,7127,7238,7342,7454,7588,7703,7845,7965,8080,8214,8340,8473,8639,8795,8915,9051,9185,9329,9484,9619,9775,9914,10074,10203,10346,10489,10614,10781,10950,11121,11300,11475,11668,11838,12026,12207,12392,12604,12789,12999,13197,13372,13593,13802,14033,14267,14485,14728,14944,15185,15418,15664,15940,16236,16519,16789,17086,17362,17652,17937,18259,18585,18940,19325,19680,20040,20414,20791,21181,21620,22056,22483,22968,23413,23892,24392,24916,25443,26028,26584,27243,27851,28448,29165,29819,30501,31185,31917,32672,33443,34191,35037,35828,36595,37425,38302,39167,39994,40974,41889,42824,43809,44809,45889,46932,48015,49124,50260,51400,52635,53823,55071,56380,57728,59090,60463,61942,63392,64851,66396,67950,69544,71179,72839,74475,76213,77955,79803,81596,83327,85205,87138,89050,91016,92882,94925,96997,98986,101141,103153,105314,107456,109635,111861,114168,116513,118867,121262,123635,126052,128468,130906,133334,135899,138460,141058,143686,146305,149064,151901,154806,157771,160632,163729,166764,169957,173182,176392,179694,183021,186384,189826,193239
1,1,1,1,1,4,6,7,8,8,12,13,15,17,19,22,27,31,42,44,51,60,63,69,76,79,84,89,96,104,114,118,122,125,128,134,136,141,142,149,155,155,161,163,165,167,169,173,180,185,190,193,203,211,219,232,242,252,266,288,302,313,324,339,368,389,413,442,467,479,495,511,531,550,573,592,608,612,626,645,665,680,699,718,735,750,776,790,803,826,840,857,892,919,966,1012,1053,1111,1171,1221,1269,1313,1377,1445,1499,1555,1608,1671,1730,1791,1845,1898,1962,2017,2069,2120,2160,2213,2273,2322,2374,2425,2471,2515,2556,2591,2631,2680,2716,2746,2790,2823,2856,2885,2927,2970,3002,3034,3066,3103,3139,3177,3203,3239,3283,3315,3341,3375,3402,3429,3464,3493,3527,3555,3593,3625,3651,3677,3705,3736,3762,3795,3822,3860,3880,3913,3944,3969,3987,4021,4045,4087,4117,4146,4177,4210,4247,4282,4311,4346,4383,4428,4463,4508,4546,4578,4625,4669,4701,4736,4777,4821,4859,4903,4934,4993,5052,5098,5161,5218,5266,5321,5382,5441,5509,5555,5600,5653,5709,5769,5811,5869,5944,6003,6064,6142,6223,6316,6400,6507,6616,6714,6796,6884,6987,7108,7240,7371,7488,7591,7706,7826,7968,8093,8234,8347,8451,8586,8717,8859,8974,9100,9216,9333,9441,9556,9680,9820,9950,10078,10222,10371,10506,10639,10823,11000,11189,11367,11547,11702,11884,12086,12257,12440,12638,12817,13011,13203,13411,13618,13808,14003,14200,14419,14600,14796,14978,15172,15354,15541,15702,15881,16051,16235,16389,16577,16753,16952,17146,17327,17507,17686,17901,18108,18343,18581,18852,19122,19388,19667,19958,20281,20616,20956,21277,21647,21978,22343,22701,23042,23389,23775,24157,24526,24872,25271,25670,26047,26434,26835,27224,27636,28062,28457,28862,29295,29707,30186,30631,31102,31537,31959,32408,32876,33371,33892,34371,34872,35347,35834,36379,36886,37436,37978,38520,39098,39648,40202,40798,41475,42065,42730,43465,44125,44883,45605,46358,47152,47987,48782,49658,50573,51467,52405,53340,54307,55308,56277,57302,58361,59466,60505,61600,62693,63787,64904,66004,67169,68368,69654,70942,72218,73580,74982,76409,77903,79383,80985,82589,84263,85961,87648,89428,91276,93173,95104,96997,98933,100877,102880,104938,107060,109179,111273,113454,115670,118036,120412,122775,125086,127497,129979,132459,134939,137528,140220,142921,145690,148511,151419,154304,157287,160372,163442,166657,169892,173135,176394,179861,183275,186797,190461,194005,197763,201645,205618,209598,213563,217572,221487,225636,229789,234071,238455,242904,247466,252091,256737,261335,266202,271029,276033,281078,286120,291297,296419,301614,306757,312115,317600,323048,328758,334368,340128,345947,351794,357626,363468,369688,375886,382244,388658,395042,401518,408230,415043,422040,428951,436016,443189,450509,457885,465452,472954,480611,488402,496450,504589,512871,521191,529667,538268,546877,555759,564804,574011,583298
1,1,1,1,1,1,3,3,4,5,5,5,8,10,13,14,18,19,22,26,27,29,33,35,37,39,42,46,53,57,59,65,67,74,82,88,93,98,105,118,122,128,134,143,149,154,160,168,176,184,192,199,202,206,215,222,230,234,242,251,253,264,267,272,279,284,290,297,307,315,326,334,338,348,353,358,361,370,378,384,387,392,397,403,409,413,421,425,430,437,440,442,446,449,457,465,472,475,486,496,505,509,514,520,533,547,555,574,579,596,612,621,628,636,651,673,696,707,721,740,749,768,785,814,835,858,883,900,926,942,962,983,1002,1018,1030,1051,1066,1085,1102,1116,1136,1153,1166,1186,1196,1204,1222,1243,1259,1269,1282,1288,1306,1328,1340,1370,1387,1404,1418,1430,1449,1463,1492,1513,1532,1558,1586,1613,1630,1654,1675,1709,1737,1771,1794,1817,1841,1862,1891,1921,1946,1971,2005,2032,2064,2094,2131,2162,2187,2223,2256,2280,2310,2340,2374,2416,2448,2480,2513,2551,2591,2631,2675,2721,2774,2823,2856,2898,2939,2989,3034,3098,3151,3204,3263,3311,3360,3415,3460,3503,3565,3623,3676,3731,3776,3840,3896,3949,4006,4082,4150,4198,4257,4316,4380,4428,4485,4554,4624,4702,4773,4839,4924,4993,5079,5166,5269,5368,5458,5549,5648,5728,5837,5913,6006,6122,6217,6318,6422,6531,6644,6739,6843,6930,7067,7183,7311,7460,7586,7720,7867,8032,8195,8345,8496,8659,8828,9006,9188,9358,9526,9721,9880,10062,10232,10390,10545,10724,10878,11025,11203,11357,11507,11670,11869,12017,12162,12313,12453,12594,12724,12866,13017,13171,13344,13516,13695,13865,14049,14245,14414,14597,14812,15017,15246,15466,15665,15910,16129,16336,16587,16819,17065,17292,17529,17785,18037,18331,18601,18877,19172,19515,19828,20191,20523,20898,21272,21655,22093,22516,22938,23379,23818,24222,24637,25083,25507,25944,26373,26783,27216,27689,28094,28604,29087,29558,30027,30497,30987,31514,31997,32528,33070,33645,34178,34745,35335,35901,36491,37119,37785,38387,39004,39663,40320,41029,41662,42369,43054,43783,44568,45336,46140,46877,47733,48586,49400,50279,51152,52048,52991,53896,54866,55815,56710,57672,58653,59586,60537,61538,62509,63503,64503,65489,66523,67542,68630,69713,70858,71968,73072,74177,75350,76573,77864,79147,80427,81722,83093,84423,85743,87123,88582,90017,91438,92902,94467,95978,97546,99190,100842,102463,104225,106001,107848,109698,111590,113525,115501,117529,119646,121807,124044,126240,128467,130819,133301,135847,138214,140810,143379,146020,148826,151664,154528,157577,160610,163800,167100,170449,173846,177322,180817,184403,188086,191650,195350,199210,203018,206885,210721,214637,218622,222841,226997,231269,235574,239937,244447,249024,253819,258543,263480,268439,273479,278515,283495,288572,293820,299156,304486,309969,315474,321137,326863,332543,338335
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1,1,1,1,1,1,1,3,4,5,5,5,5,6,10,12,12,15,15,16,23,26,29,32,39,47,50,59,64,72,76,83,88,90,96,100,106,110,113,114,115,120,124,126,128,136,143,147,152,155,162,165,168,169,173,179,187,195,199,204,211,219,224,236,239,248,257,270,278,287,303,321,337,346,361,374,391,409,422,445,454,473,494,514,540,561,577,602,626,647,660,676,698,713,735,757,774,798,818,838,858,871,885,904,921,938,957,970,986,1005,1028,1050,1072,1089,1114,1130,1154,1167,1186,1210,1226,1244,1272,1295,1316,1336,1356,1376,1401,1425,1450,1480,1513,1547,1575,1601,1640,1674,1720,1750,1810,1857,1914,1966,2014,2057,2120,2170,2226,2275,2333,2392,2463,2512,2569,2639,2719,2799,2857,2931,2997,3062,3131,3208,3298,3374,3452,3524,3602,3706,3792,3888,3971,4067,4195,4300,4409,4534,4655,4766,4920,5064,5191,5312,5431,5588,5757,5905,6066,6209,6404,6606,6763,6945,7141,7363,7582,7794,8039,8252,8485,8716,8949,9189,9425,9662,9893,10149,10384,10637,10907,11181,11421,11709,11991,12267,12565,12823,13113,13391,13706,14037,14359,14752,15078,15409,15794,16195,16575,16989,17409,17851,18257,18726,19211,19689,20145,20670,21178,21696,22214,22798,23344,23864,24368,24945,25535,26078,26696,27259,27815,28401,29023,29642,30327,30947,31674,32310,33056,33785,34492,35267,36041,36829,37631,38415,39263,40073,40921,41779,42655,43571,44517,45406,46358,47332,48349,49383,50441,51496,52591,53691,54785,55921,57067,58214,59373,60504,61712,62937,64120,65433,66723,68038,69377,70776,72212,73637,75047,76504,77918,79342,80778,82219,83655,85173,86653,88210,89842,91514,93236,94912,96596,98464,100347,102211,104201,106254,108310,110438,112558,114814,117070,119352,121636,123898,126238,128552,130871,133386,135877,138302,140787,143424,146063,148772,151538,154256,157090,159959,162851,165891,168981,172186,175307,178552,181737,185091,188474,191867,195309,198879,202566,206242,209978,213773,217610,221452,225266,229294,233230,237131,241033,245214,249320,253482,257693,262011,266299,270813,275256,279849,284442,289153,293871,298574,303249,308087,312948,317962,323080,328040,333206,338529,344055,349408,355042,360435,366175,371981,377819,383748,389785,395935,402200,408507,414870,421578,428136,434888,441763,448634,455550,462773,469974,477386,484735,492246,499825,507860,515827,523807,531903,540097,548446,556768,565458,574079,582845,591573,600627,609743,618928,628424,637916,647701,657529,667719,677755,688011,698464,709155,720179,731076,742315,753387,764552,775997,787927,799969,811999,824081,836325,848827,861411,874153,886916,899773,912664,925626,938799,952084,965506,979364,993302,1007272,1021618,1036083,1050612,1065234,1080195,1095305,1110370,1125885,1141296,1157314,1173124,1189351,1205599,1221988,1238671,1255791,1272846,1290088,1307478,1325007,1342718,1360599,1378547,1396575,1414796,1432943,1451276,1469705,1488089,1506730,1525708,1544996,1564168,1583434,1602857,1622169,1641969,1662045,1681981,1701938,1722159
1,1,1,4,4,5,5,6,7,9,10,11,14,15,15,16,16,18,21,24,24,26,26,27,29,30,31,32,34,38,39,44,46,49,50,54,58,63,65,67,72,76,80,85,90,95,99,104,108,113,120,122,123,130,135,137,140,143,151,159,161,167,173,178,184,187,190,192,194,197,201,202,204,206,209,214,214,221,226,232,235,237,239,243,248,251,253,258,260,269,274,279,287,292,295,300,304,304,312,323,331,336,346,350,356,368,370,376,389,391,395,401,409,417,420,427,436,447,455,460,471,481,493,500,506,513,519,525,534,541,551,558,573,576,584,586,598,604,610,626,632,640,651,662,669,688,705,710,718,730,743,753,760,779,791,805,820,831,843,858,866,877,895,909,922,936,952,967,979,994,999,1011,1030,1042,1052,1069,1091,1104,1122,1140,1159,1176,1189,1209,1225,1240,1254,1263,1278,1296,1311,1323,1337,1356,1369,1386,1401,1413,1423,1441,1455,1468,1483,1497,1512,1527,1544,1559,1583,1604,1614,1623,1638,1664,1675,1691,1716,1737,1754,1776,1796,1820,1840,1863,1891,1911,1933,1963,1985,2013,2036,2053,2086,2105,2126,2151,2180,2209,2234,2257,2278,2292,2322,2336,2372,2390,2409,2432,2455,2491,2539,2561,2589,2613,2643,2675,2706,2740,2786,2815,2850,2886,2923,2957,2993,3037,3088,3136,3188,3226,3262,3314,3360,3415,3468,3533,3596,3652,3723,3797,3858,3933,3994,4065,4147,4222,4292,4354,4424,4486,4533,4598,4659,4713,4788,4865,4937,4996,5066,5140,5204,5269,5347,5415,5489,5567,5642,5717,5799,5881,5961,6033,6122,6206,6296,6396,6470,6561,6646,6742,6823,6904,6986,7063,7134,7231,7320,7417,7500,7581,7658,7719,7805,7887,7960,8037,8117,8194,8264,8341,8434,8521,8593,8696,8791,8878,8976,9065,9148,9249,9357,9466,9574,9678,9803,9899,10029,10149,10246,10357,10492,10628,10755,10899,11021,11156,11305,11446,11571,11709,11859,11999,12125,12235,12379,12526,12669,12799,12955,13102,13231,13383,13554,13703,13859,14040,14200,14366,14536,14711,14902,15079,15244,15437,15658,15857,16057,16251,16461,16673,16898,17110,17320,17555,17766,17995,18258,18504,18738,18981,19205,19446,19708,19972,20190,20446,20700,20954,21216,21467,21758,22062,22371,22681,22984,23313,23631,23944,24302,24675,25042,25463,25862,26257,26643,27058,27475,27904,28345,28794,29260,29716,30168,30628,31106,31580,32041,32587,33099,33614,34147,34678,35234,35800,36370,36955,37561,38186,38867,39497,40193,40883,41601,42333,43074,43792,44565,45342,46138,46956,47801,48618,49451,50318,51186,52095,53030,53964,54962,55975,56923,57899,58907,59905,60935,62004,63030,64104,65249,66404,67534,68736,69936,71173,72452,73642,74928
1,1,1,1,1,1,1,1,4,6,8,9,11,13,17,17,18,18,20,23,23,25,27,29,32,36,41,46,49,53,59,66,69,72,74,79,83,88,91,96,101,106,113,118,124,128,133,136,145,149,156,159,163,171,179,183,189,194,198,204,205,209,212,220,230,236,241,245,257,267,275,283,294,306,312,324,341,356,375,388,410,427,453,470,490,518,536,553,584,612,630,666,697,719,740,770,795,824,850,876,912,930,959,981,1007,1032,1065,1083,1106,1125,1148,1165,1190,1214,1239,1263,1280,1298,1312,1331,1351,1370,1386,1403,1426,1448,1474,1508,1526,1549,1574,1597,1628,1641,1658,1692,1722,1750,1783,1819,1842,1862,1886,1922,1946,1978,2002,2031,2058,2087,2111,2154,2188,2225,2262,2288,2325,2364,2397,2437,2477,2520,2560,2615,2666,2703,2749,2789,2839,2874,2912,2967,3014,3079,3124,3168,3235,3291,3344,3402,3460,3528,3588,3647,3720,3796,3866,3935,4008,4080,4149,4220,4284,4367,4481,4585,4671,4766,4844,4955,5055,5160,5256,5379,5476,5574,5682,5800,5897,6035,6169,6292,6417,6548,6683,6822,6945,7069,7227,7389,7547,7732,7867,8035,8220,8403,8600,8787,8967,9152,9376,9580,9785,9986,10188,10457,10731,10949,11182,11447,11704,11955,12214,12484,12783,13048,13369,13656,13970,14268,14600,14883,15232,15561,15886,16226,16605,16989,17366,17782,18171,18607,19020,19451,19892,20400,20883,21335,21806,22271,22726,23236,23767,24270,24848,25389,25954,26565,27193,27830,28506,29158,29852,30528,31264,31993,32722,33488,34242,35007,35738,36588,37450,38292,39193,40185,41210,42238,43270,44310,45395,46555,47716,48839,49995,51207,52406,53664,54891,56158,57448,58652,59978,61266,62674,64012,65346,66735,68024,69386,70721,72120,73564,75028,76466,77904,79358,80928,82505,83997,85545,87185,88789,90403,92108,93809,95575,97344,99175,101041,102932,104834,106789,108782,110864,112966,115230,117488,119792,122205,124664,127052,129496,132061,134649,137108,139723,142420,145134,147868,150830,153715,156702,159891,162929,166143,169421,172726,176214,179747,183293,187086,190919,194900,198790,202737,206911,211002,215232,219501,223839,228137,232669,237444,242243,246951,251804,256647,261630,266534,271592,276773,282140,287481,292918,298397,304053,309672,315517,321597,327553,333749,339999,346387,352832,359302,365897,372685,379448,386435,393414,400398,407554,414775,422079,429626,437110,444728,452402,460089,468107,476198,484372,492514,500864,509433,518009,526844,535615,544364,553385,562475,571683,581013,590407,600041,609700,619382,629270,639336,649378,659827,670342,680883,691625,702417,713518,724603,735742,747027,758567,770419,782261,794266,806224,818360,830759,843200,856024,868605,881476,894572,907953,921462,935104,948843,962679,976774,990869,1005359,1019766,1034674,1049611,1064532,1079647,1094775,1109992,1125498,1141286,1157267,1173407,1189598,1205633,1222075,1238676,1255160,1271681,1288266,1305192,1322017,1339128,1356234,1373607,1390614,1407976,1425520,1443030
1,1,1,3,3,3,6,7,7,8,11,14,20,24,30,34,34,39,44,47,52,55,57,64,66,70,74,79,80,87,93,96,101,107,119,128,133,139,140,145,151,156,161,169,180,192,197,209,222,232,238,242,250,256,259,273,282,290,301,310,327,347,366,387,397,412,431,440,458,470,485,505,534,553,575,597,620,650,682,708,722,748,772,794,827,852,887,910,940,972,991,1022,1048,1081,1113,1149,1195,1243,1282,1330,1377,1415,1477,1534,1584,1635,1688,1737,1792,1849,1916,1976,2035,2091,2159,2221,2282,2336,2401,2463,2532,2585,2639,2697,2766,2823,2883,2928,2975,3024,3074,3129,3185,3231,3287,3337,3390,3435,3483,3540,3594,3643,3691,3744,3784,3838,3889,3925,3987,4046,4105,4161,4221,4276,4349,4426,4482,4559,4623,4691,4767,4860,4932,5022,5107,5196,5308,5381,5480,5581,5680,5802,5913,6033,6150,6271,6387,6517,6648,6773,6899,7027,7153,7260,7399,7532,7658,7808,7954,8116,8240,8389,8533,8713,8891,9057,9251,9414,9576,9737,9906,10081,10259,10451,10633,10825,11029,11220,11449,11638,11844,12073,12284,12517,12751,12958,13201,13413,13667,13903,14128,14368,14619,14854,15135,15438,15725,16013,16329,16654,16975,17280,17616,17968,18288,18625,18952,19277,19663,20017,20364,20709,21083,21459,21832,22216,22587,22986,23391,23794,24192,24617,25069,25583,26124,26657,27182,27703,28290,28892,29521,30141,30767,31428,32132,32772,33417,34159,34912,35630,36378,37149,37899,38627,39418,40283,41105,41931,42748,43628,44513,45494,46424,47356,48304,49271,50310,51350,52379,53403,54494,55586,56654,57755,58955,60085,61235,62402,63586,64862,66142,67389,68703,70075,71382,72763,74149,75564,77011,78454,79839,81344,82909,84512,86078,87747,89467,91189,93022,94744,96578,98396,100197,102117,104060,106186,108282,110493,112845,115204,117523,119936,122377,124896,127382,129980,132615,135349,138106,140972,143806,146698,149577,152502,155466,158423,161555,164701,167935,171285,174541,177846,181304,184720,188356,191980,195735,199563,203421,207367,211308,215343,219542,223707,227975,232414,236716,241166,245675,250243,255079,259799,264620,269545,274598,279473,284719,289937,295243,300749,306379,311939,317606,323235,329017,334797,340688,346475,352540,358508,364756,370753,377057,383357,389650,396177,402763,409452,416219,423076,430115,437234,444405,451778,459234,466694,474344,482146,489993,497804,505665,513871,522075,530510,538803,547308,555778,564510,573266,582059,590882,599851,609160,618297,627635,637230,646965,656814,667018,677273,687711,698473,709436,720316,731292,742406,753641,765026,776682,788361,800250,812287,824447,836930,849262,862085,874997,887806,901138,914499,928100,941886,955737,969908,984124,998475,1013071,1027891,1042808,1057771,1073131,1088637,1104541,1120705,1136964,1153302,1169465,1186261,1203102,1219983,1237315,1254438,1271530,1288823,1306389,1324174,1341839,1359649,1377902,1396174,1414546,1433280,1451931,1470925,1489797,1508873,1528125,1547467,1566655,1586317,1605873,1625268,1645226,1664903,1684699,1704837,1725031
1,1,1,2,2,3,5,6,8,11,11,12,15,15,18,19,19,20,25,30,34,38,44,49,50,52,55,58,61,61,69,71,78,82,86,90,93,93,97,100,101,104,108,112,115,118,124,127,130,134,139,143,147,151,156,157,160,165,170,183,187,191,200,206,210,212,218,223,232,238,244,255,261,267,273,279,286,298,309,318,325,328,338,345,364,383,396,401,416,428,438,449,462,476,488,507,515,521,539,559,570,582,600,609,620,636,648,668,684,704,732,749,770,797,817,837,864,886,916,939,962,985,1016,1050,1080,1102,1144,1174,1199,1233,1260,1300,1338,1363,1393,1438,1481,1525,1572,1619,1651,1702,1733,1778,1817,1851,1885,1937,1983,2025,2072,2115,2158,2199,2240,2291,2342,2394,2428,2480,2520,2574,2620,2668,2711,2757,2805,2858,2915,2968,3022,3089,3158,3223,3289,3361,3435,3490,3568,3650,3724,3804,3880,3960,4052,4140,4225,4322,4434,4527,4631,4740,4858,4963,5081,5220,5345,5487,5613,5742,5887,6031,6208,6380,6541,6698,6854,7018,7177,7358,7553,7754,7998,8236,8497,8732,8998,9264,9577,9910,10229,10546,10874,11164,11498,11867,12241,12622,13024,13433,13881,14280,14694,15123,15578,15984,16418,16852,17320,17763,18222,18645,19073,19545,19999,20491,20912,21408,21882,22379,22855,23355,23839,24372,24862,25409,25958,26501,27030,27537,28074,28687,29294,29935,30539,31164,31798,32391,33015,33610,34237,34892,35517,36155,36805,37514,38214,38935,39624,40325,41093,41834,42571,43321,44093,44885,45692,46461,47275,48071,48851,49616,50424,51270,52149,52955,53818,54685,55579,56448,57355,58266,59231,60212,61151,62169,63178,64251,65292,66447,67566,68692,69859,71051,72323,73547,74760,76011,77352,78687,80012,81454,82896,84451,86004,87571,89205,90886,92544,94226,95988,97757,99622,101447,103327,105265,107239,109197,111253,113310,115399,117487,119709,121955,124201,126524,128773,131120,133414,135840,138337,140807,143447,145999,148627,151259,153901,156641,159518,162372,165387,168361,171486,174683,177976,181334,184898,188414,192052,195764,199579,203484,207443,211559,215704,219855,224308,228820,233426,237979,242659,247303,252093,257029,262053,266879,272099,277208,282417,287770,293035,298320,303863,309388,315142,320760,326676,332643,338679,344792,351098,357315,363530,369861,376181,382631,389078,395765,402439,409155,415900,422806,429928,436980,444421,451876,459689,467494,475415,483377,491687,500186,508766,517499,526393,535341,544344,553512,562629,571972,581560,591203,601137,611054,621297,631649,641933,652534,663385,674318,685375,696592,707822,719414,731357,743403,755508,767764,780386,793207,806264,819432,832734,846105,859906,873921,888157,902440,917096,931989,947255,962594,978052,993492,1009368,1025360,1041477,1057863,1074343,1091234,1108443,1125850,1143616,1161578,1179369,1197441,1215548,1233711,1252308,1270924,1289760,1308816,1327795,1346906,1366366,1385864,1405616,1425537,1445719,1466212,1486951,1507453,1528450,1549468,1570946,1592812,1614908
1,1,1,4,5,5,6,7,8,9,9,11,12,16,18,20,23,31,33,39,46,47,51,53,58,61,64,67,71,74,82,91,94,97,102,107,113,118,122,130,138,142,144,149,155,160,165,171,178,186,196,201,206,216,223,232,241,249,259,269,279,293,308,324,342,355,374,387,405,419,431,441,458,474,491,510,524,541,560,575,591,610,626,636,656,673,688,699,708,728,743,753,761,774,789,799,814,828,840,854,874,890,908,920,935,945,967,987,1007,1018,1035,1055,1076,1107,1131,1149,1164,1191,1213,1253,1302,1354,1399,1446,1501,1576,1651,1716,1788,1866,1934,1994,2061,2125,2188,2269,2337,2407,2481,2549,2621,2706,2774,2838,2918,2991,3058,3127,3209,3272,3328,3402,3457,3508,3559,3644,3696,3774,3848,3926,4002,4072,4126,4182,4264,4340,4399,4480,4568,4652,4746,4837,4924,5014,5108,5212,5320,5403,5507,5597,5703,5792,5908,6021,6146,6250,6356,6470,6613,6711,6841,6967,7129,7270,7437,7595,7740,7920,8092,8268,8441,8658,8889,9080,9304,9540,9763,10001,10224,10474,10716,10954,11174,11424,11635,11881,12149,12436,12731,12981,13228,13513,13787,14095,14406,14742,15064,15475,15848,16249,16667,17114,17543,17997,18484,18969,19386,19878,20354,20862,21338,21829,22297,22805,23351,23865,24416,25015,25640,26291,26947,27625,28322,29113,29833,30577,31358,32158,32943,33741,34553,35372,36219,37112,37988,38832,39732,40647,41581,42537,43499,44435,45375,46364,47425,48508,49564,50666,51727,52782,53901,55068,56193,57431,58639,59907,61153,62477,63857,65198,66526,67911,69305,70745,72200,73656,75112,76583,78120,79638,81196,82706,84296,85832,87349,88948,90565,92233,93885,95613,97374,99147,100967,102764,104677,106643,108685,110795,112959,115117,117351,119675,122005,124380,126846,129321,131777,134334,136983,139693,142380,145186,148143,151147,154110,157215,160412,163580,166799,170261,173603,176982,180445,183957,187542,191193,194894,198597,202461,206424,210487,214566,218796,223199,227734,232267,237029,241952,246902,252086,257299,262489,267857,273423,279109,284857,290620,296531,302393,308399,314461,320675,326872,333279,339656,346147,352906,359721,366784,373710,380966,388433,395896,403674,411527,419494,427816,436054,444459,453068,461836,470635,479495,488383,497601,506726,516240,525830,535473,545492,555584,565961,576667,587481,598626,609981,621312,632820,644416,656141,668127,680345,692549,704674,717349,730002,742568,755447,768795,781914,795195,808533,822145,835889,849661,863728,877799,892197,906646,921099,935793,950518,965525,980723,995967,1011367,1026862,1042396,1058030,1073825,1089878,1105834,1122269,1138410,1154853,1171270,1187755,1204519,1221395,1238114,1255014,1272278,1289765,1307368,1324896,1342633,1360929,1378906,1397287,1415579,1434174,1452843,1471480,1490220,1509049,1528261,1547628,1566933,1586446,1606022,1625802,1645711,1665544,1685580,1705636,1725611,1745975,1766148,1786681,1807418,1828308,1849352,1870381,1891755,1913244,1934644,1956227,1977997,1999851,2022052,2044434,2066641,2089167,2111231,2133783,2156062,2178712
1,1,1,1,1,1,2,4,5,5,6,8,10,10,13,16,17,17,20,20,20,20,22,22,23,25,30,31,33,40,44,49,53,57,65,71,75,76,80,86,89,95,100,103,106,112,117,118,122,127,129,132,135,141,146,152,156,161,166,168,174,182,187,191,199,204,211,218,229,231,241,243,251,260,270,277,284,300,316,327,340,352,361,375,387,396,417,426,440,462,481,503,522,540,560,575,604,627,658,688,708,730,752,774,806,847,873,904,920,950,984,1014,1041,1064,1099,1121,1154,1185,1208,1232,1260,1282,1305,1330,1346,1369,1390,1414,1436,1458,1489,1508,1523,1545,1571,1594,1613,1638,1651,1665,1685,1710,1733,1756,1783,1805,1842,1862,1908,1943,1980,2025,2054,2087,2132,2172,2217,2274,2329,2391,2441,2516,2583,2657,2741,2799,2864,2939,3014,3095,3164,3245,3333,3429,3508,3582,3678,3757,3884,3997,4116,4243,4358,4468,4610,4749,4894,5030,5183,5327,5526,5698,5873,6086,6313,6509,6697,6908,7098,7308,7520,7722,7938,8197,8434,8674,8896,9187,9466,9748,10018,10289,10559,10874,11167,11473,11795,12105,12427,12794,13145,13465,13856,14237,14616,15033,15408,15812,16213,16663,17101,17571,18036,18539,19024,19544,20035,20572,21106,21655,22226,22779,23357,23911,24475,25014,25626,26231,26830,27448,28079,28670,29327,29958,30545,31161,31856,32516,33226,33984,34689,35458,36222,36982,37739,38553,39363,40202,41038,41923,42871,43790,44815,45855,46848,47951,49120,50241,51464,52726,54017,55347,56687,58090,59457,60899,62327,63703,65122,66597,68024,69476,70925,72402,73920,75415,77026,78685,80328,82023,83800,85522,87308,89137,91020,92926,94889,96855,98935,101034,103221,105383,107580,109702,111977,114262,116669,119012,121355,123784,126223,128659,131112,133610,136074,138595,141155,143731,146421,149192,151951,154747,157559,160395,163385,166431,169447,172633,175730,178951,182228,185522,188885,192267,195670,199103,202658,206306,209967,213775,217561,221460,225443,229588,233729,237965,242164,246444,250757,255157,259576,264084,268739,273347,278126,282915,287826,292996,297958,303219,308465,313686,319166,324701,330460,336011,341927,347910,354046,360047,366269,372423,378611,385005,391663,398195,404883,411601,418541,425661,432677,439881,447106,454419,461843,469354,477074,484879,492955,501045,509259,517675,526286,534972,543960,552955,562269,571801,581461,591004,600889,610836,620983,631061,641532,651907,662613,673498,684461,695549,706597,717945,729366,740881,752288,764208,776052,788109,800099,812313,824611,837287,849996,862818,875737,888873,902162,915771,929422,943019,956802,970754,984900,999065,1013367,1027809,1042226,1057117,1072069,1087091,1102244,1117303,1132606,1148240,1163882,1179808,1195648,1212055,1228513,1244949,1261619,1278561,1295544,1313082,1330527,1348133,1365810,1384072,1402326,1420659,1439025,1457869,1476695,1495706,1514637,1533745,1553192,1572662,1592326,1611962,1631870,1652048,1672378,1693046,1713557,1734219,1755135,1776295,1797691,1819165,1840751,1862562,1884547,1906854,1929425,1951749,1974293
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1,1,1,2,2,3,6,8,9,10,12,12,12,13,15,16,18,22,22,22,25,28,28,29,30,34,46,62,78,86,97,113,160,217,275,332,413,488,580,675,779,880,1022,1134,1241,1374,1512,1640,1741,1876,2050,2227,2400,2577,2756,2919,3068,3235,3384,3528,3683,3845,3981,4113,4231,4352,4484,4588,4702,4816,4931,5031,5121,5211,5300,5386,5484,5575,5656,5737,5817,5888,5968,6052,6127,6219,6291,6369,6453,6545,6636,6736,6836,6940,7048,7194,7328,7473,7602,7779,7960,8118,8278,8429,8617,8750,8891,9028,9154,9304,9415,9525,9667,9809,9924,10047,10175,10292,10381,10498,10593,10735,10860,10989,11144,11290,11438,11597,11766,11969,12168,12372,12585,12803,13043,13258,13496,13705,13921,14152,14367,14599,14851,15062,15316,15532,15771,16028,16304,16559,16822,17093,17373,17608,17871,18138,18386,18657,18960,19236,19536,19865,20174,20478,20811,21135,21531,21910,22265,22666,23054,23441,23860,24264,24690,25092,25562,25969,26395,26846,27272,27728,28216,28670,29139,29573,30033,30498,30954,31457,31927,32373,32850,33335,33825,34339,34863,35420,35974,36542,37160,37751,38366,38956,39561,40218,40859,41526,42222,42959,43695,44411,45113,45956,46761,47598,48399,49246,50081,50973,51880,52725,53614,54532,55486,56474,57424,58363,59368,60338,61315,62353,63388,64535,65672,66780,67901,69057,70147,71369,72616,73866,75097,76382,77613,78884,80265,81644,83030,84505,85875,87358,88837,90375,91950,93426,94968,96510,98149,99782,101509,103145,104879,106527,108302,110056,111948,113751,115636,117531,119565,121516,123608,125659,127770,129841,132070,134244,136481,138720,141071,143493,145982,148515,150986,153684,156256,158930,161678,164471,167354,170271,173212,176279,179391,182447,185787,189127,192572,196198,199856,203433,207235,210964,214864,218928,223004,227071,231242,235484,239898,244277,248813,253345,258016,262703,267437,272223,277087,282198,287205,292468,297742,303147,308659,314186,319678,325209,330972,336881,342554,348540,354563,360804,366872,373115,379527,386167,392734,399488,406432,413493,420662,427973,435407,442930,450603,458238,466290,474441,482714,491142,499878,508487,517333,526376,535530,544769,554178,563966,573936,583790,593721,604006,614363,624950,635588,646363,657312,668468,679762,691137,702871,714786,726638,738875,751082,762863,775227,787661,800016,812418,825195,838135,851353,864210,877319,890704,904241,917908,931759,945703,959933,974309,988471,1003170,1017971,1033118,1047939,1063326,1078667,1094309,1110262,1126108,1142134,1158128,1174641,1191304,1207852,1224572,1241445,1258510,1275667,1292882,1310228,1327964,1345688,1363700,1381825,1399969,1418394,1436978,1455978,1474876,1494124,1513302,1532566,1552386,1572256,1592312,1612653,1632639,1653135,1673804,1694289,1715222,1735912,1756886,1777820,1798946,1820450,1841864,1863637,1885333,1907292,1929187,1951314,1973490,1995737,2018108,2040794,2063664,2086527,2109648,2132903,2156433,2180101,2203952,2228149,2252447,2277062,2301688,2326330,2351193,2375669,2400561,2425502,2451202,2476551,2501742,2527128,2552773,2578199,2604297,2630306,2656252,2682373,2708716,2735049,2761462,2787617,2813807,2840216,2866731,2893076,2919650,2946422,2973392,3000082,3026792,3053683,3080848,3107969,3134806,3161899,3188880,3216002
1,1,1,1,1,1,1,1,3,5,5,5,7,10,16,18,18,20,21,23,26,30,34,38,38,44,47,51,54,59,66,70,78,81,88,92,94,100,103,108,116,121,126,129,131,132,138,142,145,150,155,160,165,167,170,172,176,177,179,184,187,189,191,196,197,203,208,210,212,216,222,224,228,235,238,246,253,258,261,268,274,278,287,295,304,314,317,324,331,333,342,350,357,364,372,382,390,395,401,411,415,424,435,439,450,462,471,480,488,494,500,510,526,540,546,558,577,589,606,625,643,658,671,694,714,749,773,798,821,857,899,930,968,1011,1072,1118,1174,1230,1297,1372,1431,1497,1575,1643,1704,1788,1878,1969,2057,2133,2195,2273,2354,2454,2543,2626,2713,2788,2858,2939,3025,3114,3191,3299,3375,3479,3572,3672,3768,3879,3987,4092,4204,4338,4441,4556,4675,4800,4917,5027,5152,5278,5395,5506,5621,5735,5867,5987,6127,6248,6382,6533,6664,6800,6935,7073,7183,7321,7471,7636,7828,7994,8162,8356,8533,8740,8955,9168,9370,9600,9817,10042,10298,10546,10775,11035,11280,11577,11888,12168,12463,12769,13054,13366,13665,13999,14315,14678,15046,15385,15768,16191,16520,16919,17275,17660,18060,18479,18929,19359,19823,20303,20780,21257,21759,22278,22804,23360,23922,24559,25115,25725,26361,27004,27667,28335,29080,29793,30537,31344,32157,33022,33907,34789,35720,36654,37638,38639,39691,40722,41851,42977,44124,45167,46238,47339,48422,49531,50725,51940,53202,54560,55906,57292,58682,60102,61571,63035,64572,66109,67780,69381,71116,72870,74596,76409,78192,79984,81805,83629,85522,87447,89522,91555,93669,95896,98091,100342,102572,104866,107188,109598,111959,114442,116732,119248,121764,124396,126947,129619,132244,135034,137868,140806,143779,146795,149783,152920,156168,159558,162857,166267,169896,173422,177033,180582,184340,188115,191847,195902,199836,204074,208278,212481,216699,221101,225566,230074,234794,239535,244450,249367,254407,259616,264985,270408,275902,281380,287084,292938,298913,304951,311138,317499,323887,330581,337084,343764,350478,357178,364261,371404,378767,386189,393646,401233,408827,416657,424610,432494,440525,448635,456892,465220,473696,482291,490845,499620,508628,517663,526751,535752,545113,554706,564370,574399,584451,594570,604734,615302,625952,636553,647375,658594,669448,680427,691702,702861,714357,726144,738006,749984,762236,774652,787185,799848,812706,825524,838537,851754,865229,878773,892357,906161,919922,933856,947878,962037,976604,991269,1006071,1021055,1036033,1051240,1066693,1082371,1098414,1114321,1130068,1146404,1162935,1179433,1195963,1212581,1229710,1246756,1263991,1281435,1299002,1316908,1334543,1352390,1370351,1388350,1406519,1424906,1443073,1461681,1480208,1499060,1517630,1536628,1555554,1574330,1593826,1613132,1632906,1652712,1672650,1692953,1713342,1734059,1754750,1775323,1796414,1817405,1838401,1859547,1880925,1902257,1923711,1945369,1967178,1988992,2010927,2032831,2054798,2077131,2099303,2121740,2144115,2166830,2189402,2212202,2234840,2257641,2280845
1,1,1,1,4,4,4,5,7,10,14,19,20,24,26,28,35,38,42,48,59,75,89,99,116,130,149,165,178,190,203,213,225,236,245,255,266,280,297,317,341,354,375,393,418,436,456,477,513,536,555,583,614,637,664,698,728,752,774,798,827,859,893,928,965,1002,1034,1073,1111,1157,1190,1238,1281,1327,1369,1433,1475,1520,1579,1623,1683,1743,1797,1836,1892,1949,1988,2039,2094,2156,2193,2253,2295,2347,2401,2439,2491,2525,2569,2616,2653,2691,2723,2761,2791,2839,2862,2894,2938,2970,3008,3038,3068,3108,3128,3154,3189,3218,3244,3269,3297,3327,3354,3370,3388,3408,3435,3457,3483,3504,3527,3550,3582,3606,3628,3661,3688,3713,3735,3750,3779,3804,3832,3857,3895,3924,3953,3973,4005,4023,4044,4090,4123,4156,4198,4232,4257,4284,4323,4352,4388,4429,4460,4495,4532,4567,4608,4639,4668,4690,4717,4738,4757,4784,4807,4835,4853,4883,4910,4932,4944,4959,4975,4989,5006,5023,5038,5059,5074,5091,5109,5120,5135,5145,5158,5169,5178,5191,5212,5226,5239,5249,5270,5289,5312,5328,5350,5368,5390,5422,5436,5460,5483,5506,5527,5551,5583,5608,5636,5666,5698,5720,5752,5786,5815,5845,5869,5889,5915,5945,5977,6005,6028,6058,6088,6105,6128,6157,6184,6205,6230,6256,6281,6307,6339,6370,6414,6454,6488,6524,6557,6613,6655,6709,6759,6800,6843,6891,6950,7001,7060,7121,7163,7219,7278,7348,7406,7468,7531,7583,7651,7736,7807,7889,7979,8058,8152,8230,8307,8400,8487,8588,8685,8792,8912,9014,9110,9208,9351,9467,9583,9702,9834,9985,10125,10262,10397,10524,10665,10815,10965,11107,11260,11424,11575,11749,11897,12060,12219,12409,12603,12798,12987,13173,13364,13583,13795,14018,14252,14537,14741,14982,15256,15535,15778,16048,16325,16582,16862,17140,17410,17706,17971,18298,18611,18955,19267,19587,19932,20263,20661,20983,21307,21658,22068,22440,22826,23246,23647,24032,24414,24828,25277,25703,26164,26617,27076,27542,28020,28500,29032,29564,30145,30709,31256,31790,32382,32997,33568,34229,34875,35499,36158,36845,37518,38243,38999,39790,40555,41336,42163,43033,43853,44733,45605,46493,47400,48315,49257,50240,51215,52213,53164,54262,55404,56569,57738,58951,60236,61533,62753,64058,65353,66726,68113,69514,70945,72333,73855,75316,76871,78414,79995,81533,83146,84819,86474,88129,89887,91654,93478,95377,97289,99239,101173,103209,105358,107520,109625,111789,114025,116219,118579,120870,123200,125522,127904,130330,132785,135239,137757,140249,142861,145482,148179,150825,153437,156152,158912,161733,164584,167468,170477,173484,176442,179478,182556,185703,188870,192044,195321,198649,201986,205555,209097,212718,216431,220164,223926,227749,231564,235529,239554,243616,247815,252067,256331,260662,264978,269318,273750,278213,282859,287538,292191,296871,301720,306509,311351,316531,321585,326738,332124,337425,342718,348179,353751
1,1,3,4,5,6,6,11,14,18,18,24,25,28,30,33,38,42,46,50,56,58,60,63,63,64,68,71,73,76,79,87,94,98,99,102,106,109,111,118,122,127,133,137,141,147,152,154,154,157,160,161,164,164,167,171,173,179,184,187,190,195,195,199,202,205,207,210,212,213,215,223,228,231,240,242,247,255,262,267,274,277,284,292,300,306,309,317,322,331,337,347,358,367,377,387,396,409,425,437,448,457,465,475,484,496,502,513,525,535,548,565,576,588,598,613,629,644,658,670,689,696,705,717,726,742,756,769,789,802,817,838,855,871,889,905,923,939,956,967,991,1006,1032,1051,1075,1083,1102,1116,1134,1149,1166,1193,1214,1237,1257,1278,1299,1324,1352,1376,1407,1440,1472,1506,1548,1579,1619,1652,1692,1730,1777,1817,1855,1900,1943,1973,2015,2063,2103,2125,2157,2192,2226,2253,2291,2327,2358,2391,2427,2458,2485,2517,2546,2575,2609,2633,2658,2687,2715,2743,2778,2808,2843,2869,2907,2962,3004,3045,3102,3143,3174,3225,3266,3292,3351,3391,3440,3487,3535,3567,3600,3646,3683,3728,3758,3789,3812,3851,3875,3910,3938,3975,4003,4039,4068,4102,4130,4170,4209,4240,4269,4298,4327,4358,4377,4398,4425,4453,4478,4511,4530,4550,4582,4606,4627,4661,4687,4721,4751,4784,4806,4833,4864,4885,4917,4943,4967,4996,5024,5046,5071,5100,5128,5161,5192,5234,5271,5309,5343,5376,5418,5450,5485,5521,5564,5600,5650,5691,5752,5808,5843,5892,5939,5987,6033,6072,6122,6156,6194,6236,6280,6318,6361,6390,6437,6480,6517,6557,6597,6632,6663,6689,6722,6758,6788,6825,6868,6913,6955,7016,7067,7122,7168,7219,7269,7332,7405,7481,7563,7625,7717,7806,7889,7978,8066,8153,8257,8336,8415,8491,8568,8652,8727,8804,8874,8953,9025,9113,9210,9308,9396,9459,9541,9625,9729,9825,9906,10001,10100,10198,10305,10396,10484,10603,10706,10816,10932,11046,11178,11298,11413,11525,11641,11749,11884,12030,12171,12307,12435,12576,12723,12900,13061,13251,13426,13633,13831,14053,14315,14583,14830,15140,15413,15708,16020,16350,16698,17036,17363,17740,18140,18472,18849,19220,19580,19876,20244,20582,20931,21271,21594,21936,22278,22632,22965,23266,23622,23982,24369,24738,25107,25530,25958,26391,26846,27347,27879,28478,29094,29713,30376,31038,31673,32317,32976,33629,34329,35046,35746,36441,37210,37943,38680,39455,40258,41091,41890,42727,43593,44440,45304,46169,47092,48009,48901,49815,50833,51900,52902,53981,55086,56147,57215,58242,59363,60401,61531,62633,63702,64831,65970,67038,68187,69370,70456,71620,72759,73905,75104,76257,77428,78669,79857,81104,82366,83618,84901,86202,87510,88851,90240,91535,92933,94348,95718,97195,98721
1,1,1,1,1,2,3,4,6,6,7,8,9,11,13,13,14,16,16,18,18,18,18,19,20,22,22,27,28,28,30,31,32,33,34,34,36,38,40,43,50,54,57,58,58,58,60,65,69,79,83,88,89,95,98,102,104,106,108,112,115,121,129,138,155,165,176,183,186,194,197,203,208,217,221,228,238,246,254,262,269,271,273,280,285,288,297,305,310,314,320,328,340,347,352,357,366,375,381,387,396,400,407,411,416,425,429,436,440,444,448,455,459,460,469,473,484,492,495,503,508,511,517,520,524,527,532,541,549,558,564,569,575,585,588,597,604,610,617,624,630,636,643,649,660,676,683,698,706,720,731,738,753,760,772,783,795,806,825,846,863,880,901,917,946,959,973,995,1011,1032,1048,1067,1083,1102,1118,1142,1159,1177,1191,1214,1235,1256,1264,1292,1311,1328,1346,1373,1400,1421,1442,1461,1486,1509,1531,1551,1578,1597,1622,1654,1679,1705,1731,1755,1773,1801,1819,1847,1882,1918,1943,1972,1998,2018,2053,2082,2131,2181,2221,2247,2282,2333,2376,2412,2454,2500,2534,2575,2613,2662,2710,2758,2806,2858,2906,2941,2978,3014,3052,3089,3126,3161,3192,3226,3268,3312,3353,3391,3428,3463,3499,3528,3561,3592,3633,3663,3702,3737,3772,3805,3833,3869,3903,3936,3960,3992,4032,4063,4102,4136,4173,4200,4249,4287,4327,4362,4410,4453,4489,4528,4564,4605,4649,4690,4732,4769,4813,4855,4898,4949,4993,5050,5087,5141,5211,5281,5335,5392,5454,5517,5593,5675,5763,5849,5945,6064,6182,6320,6483,6623,6825,7036,7276,7506,7765,8021,8280,8546,8812,9068,9342,9580,9858,10146,10403,10708,11004,11317,11588,11912,12224,12541,12861,13201,13504,13819,14189,14557,14925,15336,15750,16173,16610,17069,17569,18092,18621,19180,19704,20261,20768,21283,21819,22330,22835,23345,23853,24373,24874,25404,25910,26404,26895,27392,27934,28517,29052,29579,30144,30718,31332,31944,32538,33164,33809,34422,35078,35751,36427,37091,37836,38549,39310,40076,40769,41493,42252,42997,43785,44555,45324,46127,46942,47753,48558,49349,50183,51041,51912,52777,53697,54502,55394,56256,57169,58128,59051,59999,60974,61937,62889,63888,64825,65826,66860,67942,69060,70131,71282,72443,73666,74892,76107,77397,78703,80094,81484,82941,84430,85938,87483,89156,90854,92554,94271,96040,97922,99733,101695,103654,105708,107753,109807,111929,114113,116220,118383,120632,123036,125416,127793,130257,132786,135319,137884,140468,143235,145963,148825,151652,154752,157786,160873,164068,167126,170371,173632,177026,180405,183675,187076,190706,194283,197920,201629,205516,209277,213191,217185,221369,225601,229882,234291,238786,243398,248013,252785,257653,262603,267774,273058,278429,283995,289474,295276,301010,306695
1,1,2,3,4,4,5,5,6,6,6,7,10,12,12,13,14,15,21,25,29,31,34,38,39,39,39,43,47,52,57,62,68,73,82,87,90,97,103,112,121,127,130,137,142,148,156,163,169,176,185,192,200,205,216,218,223,231,235,240,243,246,252,257,262,274,284,288,293,304,315,325,332,344,361,367,377,383,388,391,401,413,421,430,438,445,450,459,470,482,489,500,504,514,522,536,547,553,564,577,593,609,626,634,646,659,666,680,687,692,702,708,717,728,737,748,761,767,773,779,791,801,808,818,832,840,852,868,878,888,891,903,906,914,922,931,941,949,967,972,978,986,994,1005,1017,1028,1039,1047,1058,1063,1070,1077,1083,1088,1091,1097,1102,1108,1116,1119,1125,1138,1144,1161,1169,1182,1191,1204,1218,1231,1255,1275,1301,1329,1357,1378,1401,1424,1448,1475,1511,1538,1567,1595,1639,1673,1711,1755,1793,1832,1881,1925,1977,2015,2060,2110,2160,2210,2272,2326,2382,2438,2484,2546,2606,2675,2725,2801,2854,2909,2962,3025,3098,3154,3220,3279,3349,3442,3495,3563,3626,3692,3766,3838,3899,3985,4048,4128,4196,4274,4367,4431,4519,4600,4670,4752,4846,4929,5017,5109,5192,5274,5371,5455,5528,5600,5702,5802,5906,5993,6090,6198,6304,6419,6539,6674,6778,6883,7003,7134,7269,7396,7549,7691,7821,7977,8135,8278,8446,8624,8788,8930,9079,9254,9431,9626,9789,10004,10176,10379,10556,10761,10963,11172,11390,11615,11847,12093,12341,12612,12893,13174,13475,13814,14120,14449,14797,15082,15409,15740,16100,16516,16908,17287,17697,18147,18623,19110,19662,20179,20639,21145,21668,22263,22860,23394,23958,24503,25094,25693,26275,26915,27524,28223,28893,29545,30205,30935,31650,32375,33175,33908,34640,35363,36155,36911,37756,38561,39416,40219,41083,41939,42794,43694,44569,45481,46307,47205,48091,49060,50063,51057,51999,52994,54054,55055,56105,57171,58265,59330,60483,61536,62706,63925,65135,66438,67717,69041,70430,71801,73202,74617,76093,77613,79127,80651,82235,83840,85503,87209,88889,90523,92195,93998,95776,97615,99492,101372,103274,105225,107271,109323,111373,113382,115451,117515,119747,121981,124267,126673,129135,131591,134121,136676,139218,141879,144571,147220,149873,152582,155317,158087,160970,163862,166689,169608,172731,175691,178698,181934,185222,188583,191954,195451,199023,202494,206076,209805,213565,217500,221373,225253,229258,233328,237596,241904,246222,250700,255278,259752,264264,268996,273913,278911,283958,289023,294021,298979,304070,309463,314791,320323,325835,331567,337246,343059,348942,354880,360881,367022,373290,379740,386093,392642,399206,405876,412621,419677,426739,433695,440897,448197,455528,463098,470877,478554,486551,494560,502731,511054,519375,527850,536533,545258,554119,563081,572305,581388,590666,600058,609593,619291,629233,639281,649452,659699,670030
1,1,1,1,1,1,1,1,1,1,1,2,4,5,7,7,8,10,10,10,11,12,12,13,15,17,18,21,28,29,35,41,45,48,52,54,62,68,73,80,90,99,104,111,118,133,141,147,150,155,164,172,181,190,203,211,221,232,247,260,267,286,305,317,325,341,360,382,405,425,448,473,492,521,550,581,606,647,683,715,750,792,819,839,884,927,964,997,1038,1078,1112,1149,1187,1230,1266,1311,1348,1378,1421,1460,1508,1538,1586,1622,1653,1709,1756,1805,1859,1917,1981,2030,2100,2162,2242,2313,2390,2463,2536,2620,2688,2773,2841,2915,2997,3066,3157,3234,3341,3406,3496,3583,3675,3762,3859,3954,4036,4123,4228,4319,4429,4530,4619,4730,4851,4979,5119,5237,5362,5480,5615,5755,5898,6058,6207,6344,6503,6696,6844,7027,7223,7379,7558,7759,7939,8121,8315,8519,8716,8916,9147,9395,9675,9933,10206,10472,10778,11102,11433,11758,12106,12497,12898,13292,13665,14036,14417,14889,15413,15909,16434,16992,17589,18180,18805,19491,20157,20852,21554,22250,23011,23787,24518,25323,26143,26917,27741,28595,29444,30298,31150,32041,32931,33766,34616,35501,36328,37187,38040,38938,39822,40697,41627,42488,43362,44270,45123,45998,46899,47821,48649,49554,50393,51251,52136,53021,53998,54984,56009,57019,58091,59094,60220,61381,62575,63843,65118,66396,67714,69127,70472,71873,73363,74882,76317,77770,79214,80726,82126,83616,85188,86751,88277,89785,91371,92986,94529,96168,97807,99487,101212,102996,104903,106760,108732,110667,112610,114702,116848,118993,121258,123478,125646,127826,130058,132323,134696,137004,139355,141780,144279,146801,149321,151992,154565,157361,160179,162940,165939,168801,171742,174805,177884,181133,184379,187653,191010,194345,197905,201437,205093,208706,212519,216314,220213,224165,228253,232406,236652,241032,245506,250052,254698,259457,264227,269072,274126,279454,284718,290215,295822,301492,307110,313102,319022,325152,331267,337485,343629,350027,356675,363366,370346,377265,384088,391144,398222,405483,412849,420229,427838,435453,443184,451258,459533,467761,476109,484562,493097,501883,510641,519569,528811,538001,547282,556698,566182,575892,585519,595354,605242,615106,625126,635435,645757,656131,666595,677311,687971,698819,709727,720543,731445,742618,753942,765267,776623,788164,799719,811690,823489,835260,847258,859462,871623,884009,896563,909153,922050,935096,948013,961150,974617,987987,1001514,1015232,1029040,1042936,1056847,1070636,1084996,1099396,1113987,1128557,1143269,1157957,1173130,1188192,1203549,1219145,1234535,1250494,1266380,1282349,1298451,1314792,1331405,1348050,1365054,1382048,1399226,1416550,1433795,1451141,1468891,1486735,1504691,1522706,1540846,1558984,1577551,1596190,1614931,1633942,1653116,1672140,1691389,1710662,1730391,1749970,1769876,1789923,1810183,1830317,1850764,1871082,1891406,1912087,1932527,1953323,1973921,1994861,2015536,2036611,2057496,2078891,2100471,2122260,2143762,2165664,2187760,2209889,2232192,2254742,2277567,2300511,2323676,2346855,2370256,2393729,2417448,2441206,2465065,2489302,2513322,2537479,2561987,2586562,2611085,2635853,2660808,2685955,2710936,2736512,2761891,2787548,2813558
1,1,1,1,1,1,1,2,2,4,5,5,7,7,7,9,9,10,11,12,14,15,16,21,23,25,27,28,30,32,32,32,34,39,42,43,44,45,48,48,50,53,61,63,66,69,72,76,77,79,84,89,94,96,102,104,106,109,114,120,122,125,128,129,132,134,139,142,145,148,151,158,163,163,167,169,171,175,176,177,180,181,181,184,186,188,191,191,191,193,194,196,196,198,198,198,198,200,200,201,202,202,202,204,204,204,206,206,208,210,211,212,213,214,217,221,222,223,226,227,230,231,232,235,238,242,247,252,255,258,261,265,269,274,280,285,292,297,304,311,318,325,330,339,343,346,350,357,360,364,369,373,379,383,387,392,396,399,409,413,415,418,421,424,430,438,439,446,448,450,455,458,463,469,472,474,480,484,488,493,497,499,501,508,513,519,521,525,531,537,540,547,552,557,561,566,570,577,583,588,593,595,602,607,611,616,620,622,625,633,638,642,649,655,663,670,673,681,688,694,700,710,717,732,750,755,767,775,785,794,805,818,827,839,846,865,878,892,900,913,929,940,949,970,986,1003,1018,1039,1053,1070,1082,1096,1114,1131,1152,1165,1185,1198,1209,1220,1235,1241,1259,1276,1292,1306,1321,1336,1354,1366,1380,1399,1416,1437,1454,1467,1499,1528,1550,1580,1600,1622,1640,1663,1686,1710,1729,1749,1774,1796,1823,1841,1858,1872,1896,1913,1933,1955,1975,1994,2012,2031,2052,2078,2102,2138,2164,2190,2208,2226,2242,2276,2304,2327,2343,2367,2392,2410,2437,2471,2487,2506,2528,2554,2578,2608,2641,2668,2695,2725,2760,2794,2830,2863,2907,2957,3013,3074,3139,3199,3278,3354,3430,3525,3615,3718,3814,3902,3990,4097,4191,4288,4422,4553,4677,4841,5016,5166,5364,5561,5737,5936,6121,6282,6463,6635,6800,6979,7150,7348,7549,7741,7965,8171,8396,8624,8862,9105,9373,9631,9916,10172,10416,10677,10929,11206,11477,11725,11952,12168,12386,12622,12871,13112,13331,13543,13755,13960,14180,14396,14625,14812,14991,15197,15406,15591,15808,16029,16242,16459,16654,16886,17074,17286,17490,17719,17946,18139,18349,18561,18771,18982,19187,19388,19588,19821,20060,20290,20505,20744,20999,21233,21466,21762,22034,22304,22592,22921,23258,23585,23935,24311,24714,25068,25508,25995,26499,27039,27588,28210,28811,29368,30010,30677,31369,32114,32830,33553,34284,35000,35706,36438,37219,37962,38741,39560,40327,41148,41937,42775,43660,44574,45412,46322,47298,48263,49267,50208,51265,52335,53356,54396,55448,56585,57712,58886,60117,61378,62666,63944,65268,66587,67935,69446,70856,72386,73889
1,1,1,1,2,2,2,5,6,7,7,7,7,7,7,7,9,12,12,14,14,16,19,23,27,29,34,36,39,44,46,51,56,60,66,70,75,80,86,89,95,100,105,107,107,109,110,111,118,121,124,127,129,136,139,144,150,152,155,161,162,165,166,169,171,173,177,180,186,194,198,200,204,210,219,223,230,239,246,254,263,270,275,291,303,319,326,335,347,359,370,381,393,399,412,422,428,439,450,457,462,474,483,491,509,520,526,533,537,540,546,554,559,569,578,582,586,591,594,600,603,609,612,616,619,623,627,629,631,635,638,644,645,653,657,657,658,660,660,663,665,670,675,678,680,682,684,689,690,693,695,700,703,705,709,715,719,723,724,726,729,730,730,737,741,746,752,754,761,766,773,780,789,795,799,808,815,824,835,848,858,876,888,901,922,941,956,977,994,1011,1029,1043,1071,1092,1125,1153,1174,1198,1224,1242,1273,1306,1337,1374,1416,1452,1483,1519,1565,1611,1655,1691,1742,1804,1854,1904,1961,2020,2086,2148,2214,2263,2339,2418,2505,2583,2675,2775,2890,3003,3104,3216,3348,3475,3608,3746,3895,4047,4200,4369,4520,4718,4923,5120,5303,5480,5689,5890,6086,6267,6502,6719,6930,7149,7379,7612,7860,8075,8345,8599,8866,9132,9408,9650,9935,10207,10469,10765,11055,11376,11712,12040,12410,12751,13131,13494,13847,14192,14586,14969,15372,15781,16217,16666,17115,17594,18019,18521,19002,19538,20092,20617,21144,21718,22251,22804,23313,23849,24423,24912,25480,26011,26607,27196,27764,28368,28946,29476,30056,30617,31203,31831,32412,32987,33596,34147,34787,35417,36069,36733,37354,37974,38639,39365,40032,40774,41490,42274,43030,43811,44669,45523,46389,47251,48121,49026,50005,50950,51969,53026,54028,55043,56092,57154,58218,59424,60575,61702,62827,63949,65090,66294,67476,68718,69924,71149,72379,73706,75053,76466,77918,79345,80725,82194,83739,85279,86862,88521,90206,91836,93587,95360,97232,99136,101100,103061,105016,106985,108998,111028,113231,115599,117983,120336,122665,125124,127579,130023,132608,135160,137757,140448,143153,145851,148594,151421,154321,157386,160484,163561,166709,169890,173096,176441,179848,183345,186990,190549,194222,197898,201662,205581,209629,213635,217854,222097,226463,231028,235598,240268,244989,249776,254567,259365,264486,269535,274611,279832,285009,290323,295717,301102,306531,312174,317976,323796,329702,335501,341584,347743,354141,360426,366829,373328,379837,386477,393306,400292,407192,414299,421512,428841,436182,443872,451423,459262,467264,475527,483672,491844,500164,508427,516947,525603,534435,543124,552259,561409,570623,579967,589486,599046,608721,618466,628304,638277,648226,658367,668524,678981,689399,700027,710847,721826,732993,744157,755515,766802,778262,789889,801698,813996,826095,838298,850764,863260,875898
1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,5,8,9,9,10,11,11,15,20,22,24,28,31,36,38,44,51,56,61,68,76,83,84,87,90,93,97,102,108,115,120,122,129,134,137,139,145,146,151,155,159,161,163,168,174,178,189,193,199,202,207,212,215,220,223,232,236,242,244,252,259,264,269,279,288,291,295,302,308,318,327,333,341,347,352,362,369,375,395,406,411,420,430,439,446,452,462,476,486,488,498,506,511,517,527,537,544,552,563,566,574,578,583,587,590,597,604,607,613,619,629,630,634,642,647,653,657,665,669,675,682,690,693,702,708,715,722,725,728,732,741,751,761,776,787,793,803,821,829,845,857,874,883,901,924,944,966,992,1018,1040,1066,1099,1120,1141,1174,1208,1234,1265,1293,1333,1360,1395,1424,1444,1462,1488,1508,1524,1548,1564,1581,1605,1634,1650,1670,1684,1703,1723,1739,1761,1792,1813,1835,1856,1883,1915,1944,1963,1989,2023,2046,2070,2103,2136,2162,2198,2221,2264,2291,2332,2384,2424,2472,2516,2563,2598,2635,2694,2754,2828,2885,2953,3038,3120,3191,3280,3359,3445,3538,3643,3716,3799,3900,3989,4075,4168,4269,4363,4452,4562,4646,4746,4844,4938,5041,5159,5294,5416,5543,5674,5809,5957,6080,6211,6354,6473,6626,6780,6943,7109,7264,7453,7627,7795,7975,8160,8318,8532,8724,8917,9126,9371,9595,9847,10094,10358,10632,10935,11244,11540,11859,12153,12494,12850,13199,13557,13937,14307,14705,15108,15536,15927,16326,16746,17140,17521,17942,18357,18801,19240,19716,20180,20624,21146,21581,22021,22502,23005,23478,23983,24590,25162,25714,26264,26859,27408,28019,28623,29210,29860,30507,31139,31803,32506,33253,33978,34705,35458,36250,37054,37922,38820,39686,40581,41483,42421,43361,44300,45282,46284,47335,48330,49346,50360,51490,52619,53689,54841,56030,57218,58415,59559,60734,62020,63254,64502,65761,67064,68331,69682,70999,72294,73681,75079,76464,77888,79352,80837,82360,83949,85520,87140,88794,90553,92425,94252,96172,98048,100093,102117,104179,106402,108565,110847,113133,115410,117750,119996,122484,124903,127491,130137,132625,135237,137897,140684,143479,146316,149235,152111,155026,157935,160909,164026,167097,170133,173355,176609,179820,183094,186435,189858,193289,196725,200344,203921,207561,211299,215106,219029,222869,226896,230943,235025,239182,243426,247819,252148,256541,261058,265736,270365,275153,279966,285007,290122,295272,300471,305655,311028,316405,321868,327410,333096,338853,344888,350791,356851,362976,369328,375925,382524,389182,395994,402860,409771,416647,423615,430763,437994,445258,452492,459879,467399,474982,482727,490494,498422,506111,514135,522328,530612,538996,547378,555895,564745,573410,582329,591469,600664,610203,619696,629599,639466,649316,659353,669700,679935,690468,701050,711783,722714
1,1,2,3,4,6,6,6,8,9,15,18,18,20,22,25,27,33,38,47,51,55,68,82,92,100,114,132,157,168,198,218,241,265,295,325,360,387,423,456,492,535,573,603,644,674,708,746,786,814,852,883,923,967,997,1026,1052,1078,1106,1137,1163,1195,1222,1250,1274,1315,1337,1365,1401,1431,1456,1495,1515,1546,1578,1621,1674,1718,1758,1815,1868,1920,1965,2008,2054,2098,2153,2205,2267,2328,2379,2434,2503,2562,2637,2698,2756,2808,2860,2920,2974,3037,3088,3147,3210,3279,3335,3400,3447,3516,3562,3633,3701,3775,3849,3921,4004,4087,4175,4271,4358,4458,4575,4692,4798,4924,5061,5194,5334,5467,5617,5748,5900,6065,6225,6391,6562,6726,6913,7083,7253,7418,7605,7781,7953,8153,8337,8504,8683,8856,9063,9266,9492,9706,9928,10143,10368,10583,10804,11083,11318,11566,11832,12097,12367,12670,12958,13274,13599,13900,14227,14575,14896,15234,15589,15989,16366,16754,17146,17540,17967,18395,18811,19254,19719,20189,20648,21096,21555,22057,22593,23102,23663,24198,24735,25256,25820,26417,26984,27536,28152,28708,29304,29903,30502,31113,31743,32334,32925,33566,34191,34792,35431,36046,36680,37332,38059,38707,39445,40161,40898,41623,42373,43134,43926,44656,45470,46250,47028,47804,48574,49323,50164,51005,51785,52622,53498,54330,55195,56086,57013,57893,58782,59757,60728,61685,62669,63712,64768,65829,66931,68106,69280,70449,71654,72886,74135,75386,76625,77909,79197,80611,82046,83508,84971,86485,87973,89508,91123,92680,94285,95948,97558,99180,100869,102618,104361,105987,107759,109496,111291,113083,114938,116817,118723,120623,122566,124476,126473,128513,130493,132595,134733,136874,139026,141260,143452,145687,148016,150284,152702,155192,157779,160375,162867,165471,168124,170934,173719,176609,179499,182539,185563,188785,192075,195343,198749,202165,205764,209351,213117,216756,220671,224628,228685,232723,236786,240933,245261,249601,253983,258379,262772,267282,271891,276607,281386,286227,291105,296022,301002,306048,311126,316301,321578,326957,332377,337912,343559,349268,355188,361078,367232,373363,379425,385873,392192,398742,405314,411862,418719,425568,432611,439819,447113,454593,462157,469818,477626,485482,493418,501401,509461,517729,526281,534698,543322,551896,560830,569679,578807,587875,597379,607078,616748,626480,636513,646585,656911,667388,677991,688591,699673,710728,722002,733334,744816,756648,768701,780612,792607,805191,817610,830322,842976,855979,868943,881976,895117,908332,921686,935073,948756,962601,976548,990497,1004602,1018775,1033171,1047620,1062115,1076822,1091543,1106529,1121693,1136838,1152278,1167778,1183588,1199622,1215803,1231673,1247984,1264555,1281202,1298043,1315016,1332027,1349241,1366700,1384198,1401629,1419253,1437217,1455491,1473512,1491588,1510007,1528994,1547794,1566922,1586053,1605411,1624792,1644538,1664148,1684139,1704054,1723978,1744313,1764671,1785086,1805493,1826217,1847187,1867825,1888448,1909346,1930504,1951594,1972958,1994564,2016122,2037968,2060015,2082317,2104616,2126640,2148962,2171482,2194067,2216769,2239827,2262825,2286109,2309645,2333141,2357182,2381210,2404977,2429150,2453756,2478685,2503542,2528543,2553365,2578350
1,1,1,2,3,3,3,5,6,7,7,8,11,12,15,16,16,16,19,21,25,29,30,30,32,35,35,35,35,35,35,38,38,38,40,40,42,48,49,50,52,56,57,60,63,65,65,66,71,74,78,83,90,93,97,102,104,108,113,119,122,124,125,131,133,137,141,143,146,147,151,156,156,158,161,162,163,163,163,163,164,165,169,177,178,181,183,187,188,191,195,199,203,203,208,211,216,218,221,224,227,236,237,247,258,262,268,280,286,291,294,304,311,319,328,339,349,354,365,372,382,390,401,416,430,443,460,476,491,505,522,531,544,563,576,597,609,634,659,680,701,725,747,772,795,821,857,888,915,954,986,1009,1030,1062,1093,1129,1172,1228,1257,1300,1348,1399,1435,1473,1517,1561,1606,1654,1701,1739,1785,1836,1876,1933,1988,2035,2077,2128,2185,2252,2293,2367,2428,2480,2544,2606,2679,2762,2837,2917,2986,3072,3162,3239,3305,3398,3501,3586,3671,3764,3871,3966,4085,4231,4352,4494,4636,4777,4921,5084,5274,5457,5664,5872,6077,6290,6550,6776,7030,7309,7584,7882,8174,8457,8753,9022,9282,9578,9877,10147,10427,10691,10995,11288,11587,11918,12267,12566,12869,13171,13488,13830,14195,14531,14851,15198,15534,15875,16237,16591,16997,17379,17776,18160,18558,18971,19385,19818,20245,20744,21181,21635,22132,22654,23195,23756,24329,24909,25541,26140,26784,27501,28226,28959,29737,30487,31304,32114,33033,33944,34824,35793,36785,37824,38948,40009,41135,42200,43397,44511,45648,46837,48078,49256,50541,51878,53222,54560,55896,57251,58573,59981,61349,62766,64190,65561,67043,68439,69811,71271,72791,74285,75754,77269,78805,80340,81929,83487,85030,86599,88203,89775,91333,92990,94702,96394,98116,99933,101777,103622,105424,107244,109131,111050,113066,115033,117097,119308,121432,123705,126022,128384,130743,133162,135727,138249,140746,143466,146206,149048,151935,154739,157720,160740,163680,166705,169709,172802,175949,179135,182315,185670,189103,192315,195654,199168,202767,206381,210058,213742,217552,221472,225450,229545,233714,237940,242102,246419,250889,255295,259938,264551,269192,274002,278839,283800,288500,293582,298560,303520,308764,314001,319292,324735,330396,336025,341920,347777,353632,359539,365714,371890,378046,384198,390447,396663,403170,409776,416598,423294,430052,437031,444016,451170,458387,465800,473356,481031,488792,496617,504473,512627,520841,528978,537295,545786,554497,563224,571987,581046,590321,599682,609159,618808,628450,638249,648455,658669,669039,679592,690426,701564,712670,723718,735096,746705,758577,770578,782752,795104,807920,820678,833656,846652,859866,873257,886877,900741,914769,928939,943419,957717,971956,986554,1001330,1016140,1031023,1046120,1061296,1076661,1092058,1107694,1123314,1138746,1154105,1169816,1185891,1202120,1218690,1235266,1251739,1268474,1285469,1302821,1320224,1337780,1355356,1373191,1391105,1409321,1427370,1445661,1463953,1482463,1500951,1519855,1539184
1,1,1,1,1,1,1,2,2,3,5,6,7,8,8,8,9,9,11,13,14,16,20,26,30,34,38,39,42,45,47,50,54,56,58,60,64,69,78,83,88,94,100,104,106,113,120,122,127,130,135,140,146,156,162,168,174,180,184,188,195,202,207,210,211,214,220,224,228,231,237,242,248,253,256,260,264,268,274,281,285,287,291,297,301,306,315,324,329,333,340,345,352,357,363,370,378,384,386,392,398,409,420,430,437,446,454,461,468,476,483,489,498,510,521,529,536,544,550,561,569,583,598,604,614,625,633,642,656,667,675,688,707,718,727,742,750,769,785,805,827,850,865,880,906,922,933,952,973,988,1000,1016,1035,1054,1069,1079,1102,1117,1135,1149,1163,1177,1189,1210,1221,1234,1244,1259,1272,1284,1296,1307,1324,1338,1352,1362,1377,1390,1396,1413,1431,1445,1463,1482,1505,1514,1531,1546,1562,1576,1596,1609,1628,1637,1660,1678,1701,1713,1731,1750,1769,1782,1803,1830,1846,1866,1892,1917,1942,1966,1989,2014,2037,2070,2095,2132,2153,2185,2215,2252,2289,2330,2381,2425,2479,2524,2573,2622,2670,2726,2779,2818,2872,2920,2978,3017,3066,3112,3158,3210,3253,3300,3334,3380,3434,3483,3532,3565,3619,3669,3713,3758,3799,3856,3902,3950,3995,4029,4069,4128,4180,4221,4255,4306,4344,4396,4445,4495,4550,4587,4633,4674,4719,4761,4796,4838,4882,4924,4964,5012,5048,5095,5138,5191,5238,5284,5333,5373,5409,5444,5495,5547,5603,5671,5734,5786,5832,5885,5938,5988,6038,6100,6164,6222,6276,6329,6405,6449,6511,6575,6631,6692,6762,6816,6874,6926,6984,7036,7080,7127,7178,7241,7305,7358,7420,7468,7542,7600,7644,7695,7752,7810,7871,7931,7994,8056,8116,8174,8239,8319,8389,8450,8532,8616,8706,8796,8892,8986,9076,9184,9280,9380,9475,9580,9697,9775,9879,9974,10080,10177,10309,10408,10523,10637,10750,10875,10974,11107,11212,11329,11442,11575,11696,11807,11932,12066,12194,12326,12455,12580,12729,12905,13058,13202,13336,13501,13626,13781,13931,14072,14229,14371,14518,14664,14826,14981,15137,15298,15448,15618,15788,15972,16161,16349,16504,16679,16890,17104,17277,17470,17686,17909,18121,18367,18601,18865,19101,19341,19617,19877,20152,20454,20733,21030,21322,21628,21952,22272,22637,22929,23321,23711,24119,24530,24964,25360,25801,26235,26726,27212,27718,28256,28796,29364,29929,30518,31068,31654,32227,32825,33429,34009,34599,35230,35814,36449,37115,37772,38417,39047,39765,40479,41234,42038,42795,43595,44409,45254,46167,47039,47939,48826,49811,50697,51639,52586,53553,54491,55503,56561,57640,58728,59817,60933,62036,63214,64402,65590,66768,67903,69141,70389,71624,72865,74132,75388,76645
1,1,1,1,1,3,3,4,4,5,6,6,6,8,10,10,10,12,14,19,23,26,31,32,36,40,41,44,50,54,55,56,60,62,68,68,72,76,83,89,95,97,98,101,107,107,116,121,125,127,130,135,140,145,149,155,159,160,166,172,181,184,189,193,197,200,204,206,212,214,218,225,228,235,239,245,250,255,260,269,274,280,285,288,293,305,309,314,323,329,337,342,352,359,368,377,386,403,414,422,432,440,448,454,467,490,508,519,533,538,545,563,577,587,602,613,625,639,653,665,681,696,719,732,755,769,791,806,829,845,872,890,916,933,959,974,995,1016,1046,1068,1085,1104,1123,1152,1178,1209,1230,1259,1283,1308,1335,1363,1387,1427,1456,1494,1527,1554,1586,1615,1650,1688,1726,1761,1799,1838,1870,1907,1941,1972,2007,2044,2088,2130,2168,2208,2255,2297,2338,2373,2430,2484,2538,2592,2650,2694,2754,2808,2873,2927,3005,3089,3187,3278,3370,3470,3546,3649,3761,3846,3926,4036,4112,4203,4301,4402,4504,4611,4721,4821,4920,5033,5153,5286,5406,5520,5628,5756,5885,6004,6137,6263,6420,6561,6687,6814,6929,7060,7205,7370,7520,7656,7798,7927,8072,8223,8381,8537,8685,8861,9011,9179,9353,9507,9694,9844,10026,10215,10385,10584,10767,10957,11167,11347,11554,11765,11983,12226,12452,12692,12947,13199,13469,13741,14015,14327,14620,14898,15238,15563,15887,16250,16564,16925,17270,17609,17985,18372,18755,19142,19521,19961,20348,20770,21201,21662,22143,22629,23047,23519,23986,24518,25028,25605,26115,26691,27285,27909,28533,29176,29844,30545,31265,31999,32763,33535,34329,35157,35958,36728,37525,38396,39290,40142,41018,41908,42847,43747,44679,45634,46665,47652,48712,49795,50858,51921,53049,54130,55264,56400,57579,58831,60114,61416,62734,64041,65343,66669,68044,69425,70730,72136,73546,75031,76460,77905,79375,80895,82432,83985,85576,87191,88773,90383,92128,93712,95414,97086,98788,100530,102301,104104,105906,107767,109670,111511,113376,115276,117220,119090,121110,122976,124979,127079,129261,131405,133682,135988,138425,140854,143368,145923,148716,151524,154291,157112,160090,163188,166276,169576,173044,176598,180181,183778,187437,191175,194937,198786,202780,206735,210665,214773,219096,223361,227807,232233,236815,241457,246215,251133,256134,261191,266385,271643,277063,282592,288133,293808,299454,305252,311221,317371,323622,329803,336133,342450,348960,355615,362262,369034,375949,382948,390161,397564,405103,412629,420376,428252,436247,444124,452144,460260,468364,476603,484999,493489,502052,510783,519530,528489,537436,546716,555956,565423,575065,584840,594671,604523,614679,624976,635337,645805,656370,667230,678106,689078,700089,711518,722933,734579,746314,758138,770209,782446,794591,807115,819825,832701,845671,858976,872148,885652,899454,913597,927718,942241,956647,971299,986011,1001019,1016123,1031490,1046860,1062582,1078209,1093967,1110025
1,1,1,1,1,1,1,1,1,1,2,3,5,8,8,8,8,10,10,11,12,12,13,13,15,18,22,23,24,24,26,26,28,30,32,34,35,35,36,39,40,41,46,47,49,51,52,55,62,66,72,74,81,86,91,96,98,106,115,122,131,134,137,145,149,157,161,166,169,171,177,185,193,193,199,204,209,215,224,229,230,235,241,246,247,251,264,268,274,279,283,285,294,296,300,302,307,315,320,324,328,332,338,348,351,355,365,372,375,385,389,393,401,408,424,437,449,462,471,478,484,500,512,526,541,559,571,583,601,615,632,651,673,692,715,734,757,775,792,802,832,854,877,903,927,958,986,1009,1030,1055,1084,1098,1118,1145,1173,1199,1227,1254,1280,1306,1332,1362,1388,1414,1443,1469,1497,1544,1576,1609,1643,1675,1714,1765,1804,1855,1887,1932,1984,2031,2071,2128,2179,2236,2298,2356,2399,2442,2481,2531,2569,2627,2677,2735,2789,2836,2891,2938,2997,3048,3092,3145,3198,3252,3301,3354,3404,3463,3505,3563,3608,3670,3731,3800,3856,3917,3966,4042,4106,4178,4246,4303,4371,4440,4496,4568,4634,4702,4772,4861,4954,5020,5113,5192,5277,5379,5477,5548,5637,5731,5815,5891,5974,6071,6169,6270,6363,6451,6543,6642,6728,6824,6927,7011,7105,7204,7292,7395,7479,7591,7682,7798,7904,8019,8141,8259,8363,8492,8630,8755,8881,8986,9111,9253,9391,9530,9664,9783,9909,10070,10211,10374,10531,10707,10869,11039,11196,11348,11535,11714,11868,12056,12266,12467,12659,12877,13092,13349,13615,13843,14098,14351,14613,14917,15215,15521,15780,16084,16403,16736,17081,17433,17812,18196,18609,19009,19465,19871,20275,20758,21254,21783,22311,22863,23481,24129,24752,25415,26091,26782,27514,28239,28943,29644,30410,31148,31958,32740,33545,34317,35128,35957,36770,37573,38440,39279,40127,40982,41850,42725,43622,44572,45473,46403,47403,48425,49437,50560,51604,52669,53783,54915,56039,57209,58376,59574,60764,61947,63143,64300,65529,66809,68059,69377,70741,72138,73485,74902,76319,77647,79058,80481,81946,83409,84902,86445,87983,89569,91201,92851,94535,96295,98078,99919,101914,103807,105875,107904,109934,111934,114048,116224,118338,120529,122674,125050,127363,129755,132212,134717,137217,139873,142470,145285,148142,151105,154022,157093,160096,163142,166135,169253,172416,175595,178716,182091,185322,188754,192171,195673,199411,203069,206705,210579,214405,218303,222130,226081,230030,234111,238335,242501,246699,251016,255270,259562,263925,268366,272864,277339,281942,286541,291323,296161,301023,306122,311183,316239,321486,326881,332321,337883,343574,349424,355297,361230,367318,373565,379921,386269,392657,399111,405740,412511,419426,426302,433391,440613,448036,455337,462906,470507,478398,486192,494136,502204,510363,518550,526790,535133,543835,552491,561214,569941,578979,588018,597459
1,1,1,1,2,3,4,6,7,8,9,9,11,15,17,18,21,23,24,25,25,27,27,27,27,27,28,28,30,31,33,33,34,35,37,40,40,40,42,42,43,47,49,50,50,52,54,55,57,58,61,63,65,65,70,74,76,76,77,77,78,82,84,84,85,91,92,94,96,98,98,100,102,102,103,103,103,104,106,107,108,108,109,110,111,114,115,120,121,122,122,124,125,128,128,128,129,133,135,137,141,144,144,147,148,151,154,156,157,159,161,163,163,164,165,165,166,171,174,175,177,178,182,187,192,195,199,203,204,206,210,214,218,222,225,229,232,235,237,240,245,246,247,248,249,252,254,261,266,268,271,274,278,280,281,282,285,286,287,289,292,297,299,300,300,302,303,309,312,315,317,318,318,320,321,324,324,329,331,337,342,344,348,351,352,354,355,356,358,365,368,374,376,377,379,382,383,390,397,404,408,411,421,422,428,433,442,448,454,467,474,485,496,501,514,522,529,543,552,557,564,574,580,589,602,610,614,620,633,640,648,653,664,670,672,678,683,689,695,701,705,715,720,726,728,732,732,740,745,746,753,755,759,763,765,767,769,772,777,777,777,779,782,784,788,788,789,790,793,798,799,799,799,800,800,803,806,808,811,812,812,812,813,813,815,816,818,819,819,824,827,827,828,830,831,831,831,831,831,833,834,835,845,852,854,858,862,866,868,869,871,871,875,876,877,877,879,884,887,889,891,893,900,907,912,915,922,927,932,937,946,949,951,956,960,967,972,979,986,990,1004,1011,1017,1026,1028,1035,1044,1053,1056,1068,1077,1087,1095,1102,1107,1117,1126,1131,1136,1137,1143,1147,1155,1159,1164,1169,1176,1186,1191,1198,1203,1212,1217,1224,1236,1248,1261,1270,1281,1295,1304,1322,1332,1346,1357,1368,1381,1404,1413,1432,1444,1463,1480,1491,1513,1535,1558,1577,1601,1620,1646,1660,1679,1703,1723,1756,1791,1819,1850,1874,1905,1938,1960,1987,2028,2062,2097,2140,2182,2223,2265,2304,2342,2384,2434,2474,2516,2572,2615,2661,2707,2756,2826,2870,2935,2992,3046,3119,3172,3227,3277,3339,3410,3475,3526,3583,3652,3709,3775,3830,3875,3937,3985,4049,4111,4173,4239,4294,4346,4412,4482,4540,4613,4678,4739,4804,4873,4944,5026,5095,5168,5235,5306,5386,5466,5548,5620,5710,5815,5901,5986,6083,6175,6271,6355,6459,6556,6665,6768,6860,6952,7047,7152,7280,7387,7504,7614
1,1,2,3,3,4,4,6,7,7,7,8,8,9,9,10,12,15,17,19,21,22,27,28,30,31,31,32,32,34,34,35,36,39,42,42,44,47,48,50,52,53,53,53,53,53,53,53,53,53,53,55,56,57,57,59,59,59,59,59,59,59,59,61,64,64,68,69,72,73,75,80,81,82,84,84,86,87,90,91,92,94,97,98,99,99,99,99,99,99,101,102,105,106,106,106,107,108,109,110,111,112,113,113,114,114,114,116,116,118,120,124,127,129,132,135,138,140,143,143,145,146,147,150,152,153,154,155,158,160,160,163,165,166,167,168,171,172,173,176,179,180,180,182,182,182,183,183,184,185,189,189,191,193,193,195,195,195,196,196,196,196,196,196,197,197,197,200,202,202,204,204,205,207,207,209,209,212,214,215,217,220,221,224,226,228,231,233,238,241,243,248,248,252,257,261,264,267,267,268,275,285,293,300,305,311,323,328,341,345,347,351,356,363,369,378,387,395,397,407,411,421,429,437,442,450,461,468,478,488,496,504,514,521,529,540,546,553,565,576,584,594,601,610,622,636,644,653,671,680,691,702,713,722,735,745,762,768,777,785,801,818,835,850,872,889,904,926,949,975,991,1013,1035,1053,1083,1107,1124,1146,1165,1192,1223,1239,1259,1272,1292,1309,1333,1367,1386,1409,1435,1458,1472,1493,1514,1531,1556,1592,1616,1652,1680,1710,1732,1756,1785,1808,1833,1864,1896,1920,1945,1976,2003,2022,2044,2070,2097,2120,2140,2168,2201,2224,2257,2294,2322,2359,2394,2423,2461,2505,2540,2575,2614,2638,2674,2718,2748,2796,2844,2886,2940,2976,3023,3069,3116,3171,3223,3278,3341,3394,3472,3535,3602,3659,3728,3779,3833,3908,3974,4033,4100,4171,4236,4296,4364,4432,4487,4551,4629,4705,4787,4861,4937,5009,5089,5170,5237,5332,5427,5508,5598,5685,5782,5871,5952,6047,6159,6268,6387,6506,6627,6748,6861,6983,7103,7255,7400,7543,7685,7846,7986,8142,8307,8471,8621,8776,8949,9121,9280,9454,9619,9758,9943,10105,10272,10450,10626,10808,10998,11154,11348,11543,11730,11923,12106,12310,12519,12732,12942,13177,13406,13605,13835,14036,14272,14489,14722,14941,15188,15420,15669,15927,16199,16488,16762,17039,17309,17622,17941,18259,18575,18918,19292,19696,20096,20510,20904,21330,21788,22193,22601,23079,23564,24030,24515,25040,25561,26130,26739,27355,27975,28628,29258,29921,30569,31207,31945,32642,33350,34101,34874,35680,36436,37283,38119,38926,39729,40555,41410,42275,43154,44078,45040,45920,46820,47791,48771
1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,5,5,6,8,8,8,8,8,8,8,8,9,9,9,9,9,9,11,12,12,13,13,16,16,19,21,22,25,26,28,30,36,37,39,42,44,46,49,53,56,57,59,63,66,70,71,74,76,78,79,79,81,82,83,84,87,90,93,97,102,111,116,123,127,130,136,140,142,146,156,166,171,178,183,187,191,198,207,218,220,230,237,244,251,258,266,278,291,307,316,326,332,338,349,369,379,390,400,411,422,434,451,460,476,484,496,511,525,535,552,568,582,593,605,617,629,638,649,661,670,679,693,699,706,713,722,727,737,746,756,758,762,774,780,786,800,807,815,823,828,837,838,841,849,853,861,865,873,876,881,887,893,900,905,918,927,932,938,947,955,965,976,986,999,1013,1031,1047,1064,1076,1100,1122,1143,1161,1184,1205,1242,1263,1279,1299,1314,1332,1344,1361,1376,1402,1417,1448,1468,1491,1512,1536,1545,1556,1576,1596,1614,1636,1665,1698,1727,1753,1785,1821,1854,1898,1935,1975,2023,2061,2104,2150,2215,2243,2285,2339,2391,2450,2493,2538,2590,2637,2696,2746,2805,2870,2923,2988,3068,3152,3226,3290,3373,3444,3536,3612,3694,3781,3889,4001,4099,4196,4304,4405,4513,4634,4766,4901,5032,5166,5303,5429,5547,5670,5791,5934,6081,6219,6352,6500,6652,6789,6951,7124,7313,7509,7736,7965,8219,8466,8723,8992,9266,9553,9823,10125,10439,10757,11076,11376,11659,11974,12270,12572,12921,13253,13583,13923,14276,14643,14986,15373,15803,16265,16684,17177,17675,18195,18682,19187,19707,20220,20731,21291,21847,22368,22878,23415,23937,24470,24986,25505,25999,26545,27025,27520,28028,28560,29062,29608,30128,30721,31320,31916,32471,33048,33669,34228,34801,35414,35997,36686,37338,38051,38808,39541,40294,41130,41930,42748,43623,44489,45373,46245,47181,48150,49089,50069,51064,52045,53138,54245,55313,56339,57385,58476,59532,60738,61901,63045,64226,65455,66637,67902,69138,70346,71730,73007,74380,75690,77097,78567,80038,81549,83098,84732,86375,88142,89859,91712,93518,95420,97443,99484,101516,103652,105862,108108,110473,112801,115139,117620,120105,122590,125272,127874,130453,133161,135879,138512,141233,143916,146620,149391,152220,155059,157869,160718,163691,166695,169779,172814,176043,179342,182576,186045,189495,192865,196379,199955,203525,207240,210975,214734,218640,222610,226580,230679,234881,239186,243550,248040,252557,257202,261718,266514,271398,276347,281402,286579,291864,297335,303001,308594,314312,320019,326079,332109,338136,344343,350619,356968,363359,369924,376700,383395,390258,397222,404311,411583,418899,426357,433961,441696,449677,457543,465660,473960,482235,490849,499441,508295,517236,526301,535637,545008,554443,564005,573667,583562,593433,603559
1,1,1,1,1,4,5,5,5,6,9,9,13,19,21,22,23,28,32,39,41,46,48,51,51,52,55,58,62,67,71,75,77,80,81,85,88,91,92,94,95,98,105,106,110,111,112,118,119,123,126,130,134,134,139,143,146,151,152,156,161,163,166,172,178,183,188,194,199,203,207,212,215,224,227,233,239,247,254,259,263,270,276,286,289,301,312,318,325,331,337,343,350,361,369,376,386,395,408,413,427,435,445,453,471,481,492,504,518,536,555,569,588,610,632,653,668,690,709,734,763,792,819,851,874,901,928,959,984,1003,1036,1063,1092,1132,1158,1176,1202,1231,1259,1291,1324,1358,1379,1412,1436,1457,1486,1514,1535,1554,1581,1609,1639,1675,1703,1737,1783,1825,1858,1895,1952,2005,2060,2102,2146,2201,2263,2315,2361,2420,2481,2549,2621,2683,2763,2836,2913,2993,3073,3153,3237,3342,3437,3529,3630,3717,3818,3912,4026,4145,4260,4373,4492,4592,4722,4833,4971,5097,5224,5355,5489,5652,5813,5951,6083,6266,6420,6580,6756,6916,7076,7263,7449,7650,7842,8045,8252,8443,8644,8848,9062,9280,9483,9690,9920,10136,10393,10635,10869,11153,11431,11726,11982,12282,12518,12781,13090,13345,13623,13935,14216,14499,14797,15097,15393,15692,15988,16320,16641,16956,17269,17622,17949,18337,18680,19061,19452,19870,20276,20738,21174,21639,22087,22597,23119,23582,24075,24583,25136,25620,26091,26623,27136,27656,28147,28685,29249,29856,30414,31024,31667,32356,33065,33795,34483,35214,35919,36630,37341,38065,38789,39522,40292,41072,41906,42698,43442,44230,45049,45823,46672,47512,48342,49250,50184,51117,52074,53020,53972,55011,56057,57158,58277,59421,60561,61700,62957,64182,65362,66516,67787,69083,70318,71511,72746,73931,75306,76503,77758,78998,80313,81692,83057,84472,85985,87451,88972,90546,92174,93748,95354,97062,98723,100433,102112,103838,105596,107386,109217,111076,112956,114912,116854,118806,120771,122754,124831,126813,128850,130950,133100,135362,137624,139958,142330,144799,147214,149686,152201,154830,157418,160002,162653,165329,168059,170908,173667,176548,179498,182375,185345,188432,191746,194993,198203,201658,205144,208642,212306,216188,219978,223901,228001,232212,236443,240598,244889,249322,253679,258154,262799,267528,272259,276971,281877,286761,291902,297027,301983,307134,312471,317770,323366,328816,334356,339952,345725,351555,357490,363240,369166,375283,381421,387709,394158,400813,407366,414074,420783,427827,434989,442262,449613,456980,464584,472430,480375,488276,496279,504635,513111,521617,530430,539334,548425,557569,567176,576682,586369,596003,606182,616163,626472,637019,647391,658167,669096,680105,691196,702503,714002,725736,737428,749484,761518,773458,785609,797921,810351,823094,836023,849204,862733,876125,889439,903096,916632,930560,944723,958902,973366,987736,1002437,1017150,1032105,1047362,1062639,1078081,1093554,1109083,1124640,1140587,1156577,1172554,1189043,1205535,1221982
1,1,3,4,5,7,8,9,10,12,14,16,17,17,21,21,22,24,27,29,33,34,41,44,50,54,54,62,67,73,81,92,98,104,111,117,122,128,133,139,147,159,171,181,188,199,208,225,238,248,263,280,297,314,326,343,357,366,394,415,428,447,460,477,504,526,549,577,596,621,637,652,678,700,728,757,782,814,834,855,878,909,931,965,993,1018,1049,1075,1102,1138,1174,1208,1242,1274,1303,1337,1373,1413,1451,1479,1514,1548,1591,1632,1671,1715,1757,1792,1834,1877,1913,1953,2003,2045,2097,2140,2184,2234,2270,2327,2381,2445,2493,2546,2597,2657,2715,2788,2852,2909,2975,3040,3100,3180,3248,3314,3381,3454,3506,3575,3657,3723,3793,3877,3960,4044,4127,4226,4298,4376,4461,4539,4618,4699,4805,4898,4992,5085,5188,5286,5386,5500,5635,5759,5892,6029,6163,6302,6420,6571,6731,6881,7040,7180,7357,7534,7733,7931,8122,8349,8561,8785,9038,9313,9545,9807,10059,10347,10636,10905,11167,11431,11755,12046,12341,12653,12951,13279,13588,13880,14206,14522,14870,15226,15572,15904,16250,16612,16966,17339,17728,18135,18568,19026,19461,19926,20399,20894,21402,21954,22484,22972,23491,24014,24556,25112,25690,26251,26864,27519,28191,28857,29503,30174,30873,31638,32402,33115,33898,34722,35571,36468,37336,38191,39114,40057,40939,41864,42802,43719,44686,45704,46718,47765,48802,49897,50990,52123,53312,54436,55637,56865,58096,59433,60803,62109,63472,64750,66057,67437,68872,70347,71854,73391,74957,76515,78087,79688,81392,83078,84898,86773,88623,90539,92600,94703,96863,99155,101415,103748,106158,108637,111160,113853,116506,119233,122043,124813,127704,130692,133663,136645,139593,142641,145700,148818,151959,155137,158359,161635,164962,168309,171649,175008,178557,182124,185735,189442,193076,196918,200784,204603,208621,212555,216572,220694,224926,229180,233527,237977,242174,246567,251126,255730,260429,265323,270062,275051,280108,285253,290339,295439,300692,306105,311490,317075,322652,328256,333938,339795,345835,351739,357974,364344,370777,377170,383801,390346,397045,404000,410901,417821,424971,432118,439189,446615,454030,461457,468997,476591,484371,492058,499884,507751,515575,523634,531930,540305,548739,557170,565699,574208,582915,591753,600661,609899,619253,628710,638377,647933,657798,667630,677374,687635,697763,707844,718185,728813,739454,750256,760853,771712,782998,794100,805184,816478,828252,839834,851540,863323,875299,887628,899851,912091,924590,937326,950007,962830,975545,988576,1001790,1015017,1028366,1041971,1055676,1069498,1083513,1097724,1111793,1126133,1140646,1155211,1169813,1184716,1199648,1214543,1229780,1244718,1260227,1275941,1291432,1307219,1323305,1339581,1355883,1372060,1388684,1405359,1422258,1439380,1456505,1473639,1490872,1508178,1525829,1543422,1560887,1578796,1596863,1614978,1632960,1651221,1669594,1687953,1706596,1725383,1744282,1763082,1782021,1801013,1820516,1839889,1859378,1879086,1899169,1919182,1939316,1959796,1980099,2000331,2020915,2041796,2062621,2084058,2105037,2126292,2147529,2169052,2190675,2212696,2234341,2256576,2278943,2301658,2324609,2347435,2370475
1,1,1,1,2,2,4,4,4,7,7,7,7,7,7,7,7,7,7,9,10,12,12,13,15,17,19,22,23,25,28,29,30,30,31,35,38,41,46,48,51,54,60,63,72,80,90,97,108,114,117,128,141,153,168,190,205,225,244,264,290,320,349,370,401,441,483,506,550,587,623,679,710,753,816,871,925,967,1015,1069,1127,1197,1279,1354,1421,1489,1588,1682,1765,1877,1983,2098,2203,2316,2424,2556,2678,2803,2921,3037,3177,3303,3435,3576,3728,3891,4066,4212,4379,4570,4733,4917,5111,5311,5513,5698,5907,6097,6323,6533,6740,6941,7137,7377,7592,7831,8079,8298,8507,8725,8988,9235,9480,9725,9971,10217,10449,10710,10974,11206,11485,11791,12105,12388,12688,12970,13300,13620,13958,14290,14622,14959,15316,15638,15997,16383,16772,17200,17698,18165,18648,19133,19631,20117,20596,21105,21652,22205,22797,23415,24043,24696,25340,25982,26673,27408,28147,28905,29666,30474,31270,32077,32898,33730,34579,35444,36308,37224,38116,39050,40006,41007,41949,42977,44005,44965,46007,47073,48117,49178,50258,51359,52425,53518,54708,55877,57140,58448,59726,61035,62417,63757,65147,66550,67981,69411,70955,72392,73802,75255,76740,78270,79713,81239,82757,84336,85904,87502,89198,90854,92536,94263,96014,97833,99757,101703,103631,105609,107596,109719,111728,113824,116004,118161,120221,122428,124643,126839,129076,131421,133755,136127,138376,140697,143182,145663,148142,150615,153084,155608,158101,160698,163381,166126,168834,171580,174442,177417,180402,183427,186550,189616,192746,195956,199208,202512,205954,209537,213075,216826,220490,224136,227871,231638,235449,239278,243181,247120,251224,255347,259580,263809,268159,272535,277171,281809,286535,291298,295986,300803,305726,310675,315726,320840,326013,331226,336387,341942,347311,352811,358473,364042,369738,375549,381320,387148,392999,398953,405100,411044,417275,423508,429911,436344,442809,449413,456077,462758,469504,476404,483586,491036,498382,505979,513765,521625,529676,537593,545802,554028,562422,570840,579384,588145,597189,606177,615445,624561,633990,643755,653381,663081,673245,683526,694088,704669,715545,726482,737253,748383,759842,771329,782788,794457,806389,818392,830440,842783,855338,868009,880602,893399,906597,919588,932871,946074,959497,973179,986926,1000591,1014486,1028473,1042789,1057244,1071844,1086449,1101378,1116504,1131716,1146852,1162152,1177609,1193533,1209408,1225295,1241555,1258135,1274748,1291422,1308473,1325688,1343153,1360616,1378252,1396123,1414360,1432403,1450593,1468938,1487730,1506760,1525684,1544827,1563951,1583498,1603012,1622909,1643138,1663277,1683437,1703905,1724429,1745552,1766459,1787309,1808414,1829668,1850900,1872411,1894036,1915737,1937260,1959203,1981206,2003276,2025636,2048198,2070703,2093691,2116318,2139283,2162624,2185616,2209062,2232552,2255729,2279575,2303562,2327449,2351435,2375504,2399291,2423288,2447492,2471776,2496249,2520993,2545738,2570079,2594933,2620091,2645497,2671003,2696467,2722177,2747750,2773304,2799557,2825190,2851315,2877545,2903830,2930116,2956536,2983094,3009220,3035633,3062358,3088981,3115922,3143037,3170137,3197363,3224404,3251826,3279191,3306807,3334511,3362212,3389731,3417803,3445756,3473578,3501926,3530034,3558305,3586465
1,1,2,2,2,3,4,4,4,5,9,10,11,11,11,11,11,14,16,19,21,22,28,32,35,36,40,42,45,50,54,62,63,67,67,74,77,84,90,92,98,105,110,117,123,131,134,142,146,150,156,161,166,172,177,182,188,197,209,216,224,229,232,238,251,258,269,279,286,291,302,309,317,325,332,338,343,347,355,363,371,387,394,399,406,413,424,431,439,445,455,462,470,482,488,499,507,518,527,536,548,554,565,577,590,608,620,641,652,666,681,698,715,727,745,752,765,779,794,811,828,836,850,872,897,914,930,948,965,982,989,1000,1015,1027,1045,1059,1077,1097,1120,1139,1160,1182,1210,1230,1258,1283,1315,1346,1391,1437,1482,1517,1557,1598,1651,1703,1757,1798,1837,1878,1935,1987,2029,2076,2115,2162,2199,2252,2303,2349,2399,2448,2495,2536,2582,2639,2705,2771,2821,2865,2930,2989,3087,3165,3233,3292,3381,3468,3550,3625,3719,3811,3903,4004,4096,4195,4305,4379,4481,4571,4675,4776,4876,4962,5087,5198,5305,5416,5520,5644,5775,5896,6019,6157,6307,6454,6626,6797,6985,7177,7426,7622,7843,8067,8315,8543,8784,9035,9268,9558,9824,10087,10361,10633,10872,11126,11400,11673,11960,12262,12560,12878,13245,13605,13990,14366,14765,15188,15662,16092,16509,16988,17465,17906,18352,18813,19279,19727,20165,20625,21070,21499,21953,22395,22858,23341,23763,24227,24754,25253,25738,26262,26733,27226,27745,28287,28785,29334,29921,30485,31006,31611,32181,32812,33455,34092,34736,35354,35996,36687,37375,38053,38767,39538,40265,41038,41830,42645,43515,44346,45241,46138,47046,47929,48872,49800,50753,51659,52650,53630,54587,55595,56700,57793,58915,60023,61199,62382,63553,64875,66174,67543,68985,70370,71871,73351,74815,76302,77836,79405,81037,82650,84262,85883,87513,89253,90920,92701,94514,96447,98384,100444,102557,104706,106927,109234,111548,113967,116402,118780,121167,123674,126095,128601,131165,133747,136285,138859,141488,144176,146931,149775,152483,155254,158181,161310,164380,167526,170669,173900,177286,180743,184325,187812,191365,194913,198625,202346,206090,209947,213856,217759,221860,225799,229956,234075,238409,242624,247028,251484,256048,260680,265452,270213,275036,279975,284815,289783,294921,300100,305118,310462,315731,320975,326320,331707,337250,342833,348518,354245,360029,365845,371864,378100,384511,390926,397464,403972,410562,417230,424130,431273,438426,445824,453320,460870,468663,476326,484276,492451,500822,509157,517657,526162,534917,543803,552927,562362,571729,581209,590952,600600,610361,620471,630580,640734,651117,661690,672429,683120,694013,704877,715882,727146,738293,749583,761134,772736,784671,796637,808578,820816,832949,845223,857667,870056,882998,896124,909213,922571,935841,949445,963361,977068,991447,1005664,1020057,1034935,1049917,1064603,1079560,1094791,1110205,1125789,1141687,1157530,1173662,1190125,1206695,1223282,1240126,1257199,1274449,1291766,1309414,1327267,1345215
1,1,1,2,2,4,4,8,9,13,13,14,15,16,19,23,27,31,39,41,46,50,58,63,68,75,77,81,86,90,101,104,115,122,129,132,140,148,156,165,174,183,189,196,203,212,225,239,255,265,274,286,305,322,344,358,378,393,411,428,449,476,492,514,529,547,561,579,598,619,641,660,682,715,744,773,799,823,847,879,919,954,987,1022,1057,1091,1126,1155,1203,1232,1277,1321,1372,1421,1477,1530,1595,1656,1720,1800,1892,1987,2094,2214,2354,2463,2595,2718,2852,2959,3081,3215,3331,3438,3566,3687,3814,3940,4060,4177,4292,4402,4541,4658,4782,4906,5051,5160,5304,5428,5586,5744,5909,6063,6236,6404,6601,6789,6974,7136,7318,7515,7689,7876,8075,8273,8455,8662,8839,9028,9226,9458,9695,9896,10108,10360,10614,10865,11166,11442,11781,12102,12413,12724,13078,13453,13826,14203,14542,14911,15254,15614,16030,16389,16797,17173,17557,17927,18377,18815,19260,19698,20120,20548,20988,21495,21984,22489,22968,23452,23961,24428,24917,25480,26029,26615,27198,27825,28426,29043,29679,30311,30908,31528,32147,32805,33433,34090,34721,35337,35988,36696,37384,38069,38791,39518,40287,41051,41860,42663,43528,44361,45200,46041,46927,47819,48622,49526,50375,51295,52158,53092,54007,54905,55808,56747,57688,58596,59534,60480,61403,62373,63386,64367,65375,66380,67415,68462,69494,70598,71676,72791,73848,75005,76168,77392,78666,79950,81321,82663,84093,85476,86895,88333,89805,91321,92797,94279,95775,97397,98964,100631,102271,104005,105774,107568,109296,111052,112851,114710,116544,118376,120249,122170,124066,126111,128200,130281,132406,134490,136622,138787,141078,143421,145844,148158,150633,153069,155547,158124,160702,163311,165961,168688,171422,174174,177022,179854,182799,185760,188645,191747,194801,197955,201181,204410,207694,211049,214444,218019,221675,225284,229014,232772,236641,240816,244892,249119,253380,257763,262269,266769,271485,276226,280977,285713,290712,295767,300858,306055,311232,316650,322256,327733,333369,339159,344866,350779,356757,362711,368848,375194,381349,387723,394169,400807,407537,414381,421430,428443,435654,443129,450821,458539,466155,474113,482099,490412,498624,507122,515545,524252,532996,542225,551264,560469,569847,579283,589022,598862,608745,618982,629295,639464,650180,660866,671667,682622,693708,704820,716170,727626,739214,751074,763087,775335,787654,800339,813097,825743,838688,851897,865215,878718,892201,905923,919797,933985,948208,962498,976944,991533,1006388,1021180,1036399,1051758,1067144,1082574,1098346,1114288,1130288,1146367,1162697,1179476,1196243,1213285,1230394,1247518,1265067,1282836,1300681,1319092,1337369,1355620,1374100,1392760,1411618,1430667,1449820,1469078,1488648,1508321,1528017,1547422,1567534,1587638,1608025,1628430,1649026,1669750,1690787,1711878,1733182,1754452,1776183,1797898,1819340,1841629,1863951,1886381,1909020,1931917,1954591,1977283,2000521,2023674,2047209,2070634,2094275,2117885,2141709,2165722,2189666,2213579,2237869,2262277,2286881,2311349,2335790,2360074,2384730,2409472,2434511,2459411,2484202,2508944,2533969,2559077,2584455,2609601,2635034,2660587,2685953,2711692,2737628,2763868,2790318
1,1,1,1,1,3,4,5,6,7,8,9,9,9,10,13,13,14,16,18,18,20,21,22,24,25,28,31,32,35,37,43,49,57,63,69,74,78,80,82,85,92,97,100,105,108,119,128,134,147,155,160,171,184,195,204,213,229,238,252,271,291,307,331,350,373,395,423,446,471,493,518,543,576,602,634,664,691,725,763,797,838,894,929,970,1017,1075,1119,1173,1221,1269,1325,1377,1441,1514,1584,1647,1716,1779,1847,1944,2009,2104,2183,2269,2366,2465,2542,2636,2724,2808,2898,3001,3119,3246,3364,3482,3610,3766,3897,4041,4182,4339,4501,4678,4849,4999,5154,5318,5482,5673,5867,6031,6233,6428,6602,6802,6997,7204,7422,7633,7869,8067,8289,8476,8687,8914,9141,9376,9610,9884,10153,10421,10705,10991,11269,11533,11808,12076,12356,12674,12995,13309,13632,13927,14242,14568,14943,15272,15642,16001,16361,16753,17137,17572,17967,18415,18853,19305,19758,20236,20729,21241,21786,22307,22869,23463,24042,24664,25329,25968,26655,27308,27967,28650,29341,30037,30776,31521,32249,33006,33747,34477,35236,35957,36734,37501,38299,39074,39830,40640,41436,42242,43105,43947,44791,45650,46517,47397,48273,49212,50202,51148,52082,53064,54043,55058,56014,57044,58079,59179,60283,61275,62343,63400,64489,65578,66685,67847,69025,70228,71463,72693,73945,75297,76634,77981,79448,80911,82473,84057,85688,87376,89045,90746,92469,94325,96156,98043,99963,101965,103937,105875,107934,110009,112171,114394,116692,119008,121347,123695,126178,128580,131115,133719,136303,138976,141808,144692,147454,150286,153268,156297,159460,162565,165637,168923,172340,175815,179182,182746,186301,189907,193568,197255,201162,205220,209155,213178,217290,221506,225764,229946,234405,238939,243490,248067,252876,257696,262670,267708,272741,277975,283171,288540,293923,299357,304813,310290,315981,321727,327673,333663,339647,345812,352188,358502,365005,371604,378152,385120,391955,399015,406195,413541,420751,428060,435664,443128,450880,458494,466517,474615,482815,491082,499590,508061,516834,525845,534962,544175,553399,562952,572827,582666,592763,603183,613828,624391,635236,646347,657640,669041,680622,692116,703964,715673,727512,739826,752207,764390,776908,789517,802243,814998,827729,840610,853864,867265,880604,894169,908032,921944,935964,949953,964419,978768,993577,1008469,1023587,1038660,1054161,1069606,1085251,1100926,1116788,1132946,1149223,1165296,1181582,1197955,1214474,1230952,1247764,1264513,1281560,1298656,1316016,1333235,1350649,1368118,1385581,1402974,1420703,1438356,1455961,1473821,1491887,1509864,1527996,1546081,1564159,1582654,1601135,1619830,1638567,1657723,1676661,1695676,1714880,1734197,1753662,1773442,1793156,1813249,1833490,1853771,1874362,1894984,1916173,1937241,1958698,1980302,2001686,2023066,2044443,2066156,2088128,2110139,2131981,2154604,2176988,2199715,2222925,2245571,2268829,2292138,2315427,2339005,2362530,2386441,2410398,2434747,2458943,2483399,2508111,2532703,2557340,2582224,2606883,2631854,2657047,2681929,2707049,2732762,2758327,2783999,2809704,2835462,2861275,2887180,2913180,2939304,2965608,2991832,3018302,3044601,3071003,3097737,3124160,3150701,3177429,3204237,3230774,3257648,3284696,3311892
1,1,2,3,4,9,9,10,12,14,15,15,17,17,17,18,20,20,20,21,21,21,21,21,21,21,22,25,25,26,26,27,27,30,31,32,35,36,38,39,40,43,43,44,46,47,50,52,56,61,66,69,71,78,80,83,88,92,97,100,105,107,114,118,119,124,127,128,130,134,137,145,146,153,155,160,164,168,173,178,182,187,191,193,195,198,202,203,203,205,211,212,214,217,219,222,226,229,234,234,241,246,248,251,255,258,259,262,268,271,274,280,286,292,294,297,303,305,309,313,317,321,326,334,338,346,353,356,363,370,380,385,394,406,412,415,421,428,433,441,448,451,462,473,481,494,499,501,511,513,525,534,540,542,550,557,567,570,581,589,597,601,606,614,621,628,637,642,650,662,673,683,691,699,709,717,728,743,749,757,772,784,798,807,820,829,836,845,857,865,875,891,902,917,928,935,947,957,970,986,996,1007,1021,1033,1042,1060,1068,1079,1085,1101,1115,1130,1142,1155,1168,1178,1197,1213,1222,1235,1248,1266,1283,1297,1313,1328,1344,1356,1368,1383,1400,1407,1424,1440,1453,1467,1483,1503,1518,1536,1546,1561,1568,1582,1599,1610,1624,1635,1647,1658,1664,1681,1696,1705,1715,1724,1732,1745,1759,1772,1788,1803,1815,1828,1838,1850,1865,1878,1892,1904,1916,1924,1935,1950,1966,1979,1991,2007,2023,2040,2048,2059,2078,2098,2113,2142,2158,2178,2199,2220,2241,2258,2273,2296,2310,2323,2334,2346,2366,2383,2402,2419,2431,2449,2468,2495,2513,2543,2585,2622,2648,2681,2731,2812,2899,2988,3093,3175,3313,3431,3539,3643,3743,3855,3985,4101,4215,4311,4420,4510,4623,4743,4847,4951,5054,5164,5279,5404,5535,5684,5857,6030,6196,6373,6574,6780,6986,7195,7433,7628,7835,8041,8259,8489,8687,8893,9071,9248,9420,9594,9763,9916,10060,10200,10358,10522,10688,10819,10956,11081,11239,11372,11506,11614,11747,11880,12015,12141,12259,12373,12475,12578,12699,12805,12933,13035,13152,13246,13356,13474,13598,13692,13807,13920,14023,14117,14232,14353,14451,14551,14674,14769,14881,14976,15069,15173,15276,15371,15463,15557,15650,15743,15837,15951,16061,16158,16250,16348,16469,16583,16695,16829,16955,17096,17232,17370,17517,17687,17848,18001,18180,18390,18564,18753,18962,19228,19469,19723,19962,20227,20513,20804,21104,21379,21666,21961,22248,22529,22831,23146,23403,23707,24008,24305,24614,24949,25238,25575,25919,26254,26604,26960,27301,27716,28118,28581,29006,29448,29911,30352,30862,31340,31851,32382,32943,33467,33969,34494,35079,35717,36378,37024,37642,38297,38931,39591,40205,40881,41514,42174,42905,43647,44388,45166,45907,46654,47409
1,1,1,1,1,1,2,2,3,4,4,5,6,7,10,10,11,13,13,13,13,14,16,17,17,21,24,26,29,33,35,36,39,47,50,54,60,62,66,71,74,78,81,82,84,89,91,91,97,98,105,108,112,116,121,124,128,130,132,134,136,140,143,147,148,154,160,165,173,175,177,179,181,181,181,184,188,190,191,193,196,199,202,202,204,207,210,215,216,217,221,221,221,221,223,227,231,237,240,246,251,255,262,265,272,273,284,289,293,295,298,300,305,312,317,322,328,334,339,344,346,351,356,358,363,365,367,369,370,374,380,381,385,388,394,396,397,401,404,407,413,415,417,420,425,427,430,435,441,449,458,467,480,496,503,508,524,536,551,577,598,621,650,673,698,727,748,768,792,815,836,864,889,911,932,956,982,1016,1053,1088,1123,1149,1186,1220,1255,1293,1334,1373,1409,1449,1496,1537,1583,1625,1673,1715,1764,1821,1866,1911,1959,2039,2117,2184,2265,2332,2400,2480,2558,2641,2742,2820,2896,2979,3071,3137,3240,3335,3426,3523,3625,3713,3829,3946,4057,4181,4304,4426,4555,4686,4800,4915,5070,5209,5366,5519,5661,5805,5952,6118,6306,6487,6647,6810,6998,7171,7366,7556,7751,7969,8170,8385,8609,8846,9106,9353,9587,9836,10114,10365,10639,10931,11215,11531,11823,12123,12433,12787,13104,13433,13798,14150,14499,14881,15297,15682,16139,16595,17070,17518,18017,18505,18955,19471,20013,20515,21068,21630,22290,22899,23481,24116,24766,25448,26189,26953,27717,28466,29294,30132,30946,31877,32759,33714,34674,35671,36653,37635,38634,39655,40685,41708,42783,43795,44850,45904,46984,48101,49218,50357,51464,52656,53819,55078,56335,57585,58839,60220,61659,63127,64583,66135,67618,69089,70612,72196,73747,75348,77004,78744,80456,82125,83849,85531,87305,89088,90976,92800,94683,96473,98304,100239,102172,104193,106263,108388,110534,112818,115017,117245,119561,121825,124250,126672,129112,131560,134104,136744,139333,141993,144789,147570,150440,153358,156277,159236,162306,165457,168618,171696,174898,178213,181560,185087,188624,192198,195860,199462,203202,206937,210710,214643,218537,222508,226658,230787,235097,239466,243683,248186,252720,257255,261875,266597,271528,276615,281804,286837,292066,297365,302708,308217,313637,319319,325139,330886,336824,342933,349025,355473,361898,368464,375151,381881,388852,395979,403237,410535,417951,425584,433455,441475,449339,457480,465514,473832,482141,490673,499193,507918,516625,525466,534676,543670,552843,562274,571683,581203,591031,600873,610676,620699,630832,641132,651645,662143,672752,683347,694244,705248,716452,727689,739137,750704,762233,773966,785659,797357,809395,821584,834046,846375,858893,871384,884274,897009,910046,923229,936492,950183,963931,977898,991921,1006082,1020593,1035077,1049651,1064559,1079674,1094957,1110338,1125705,1141552,1157681,1173660,1190012,1206583
1,1,2,4,5,5,5,5,6,6,6,8,9,9,10,11,12,15,16,18,18,21,22,22,23,25,28,32,37,40,45,48,52,56,63,66,71,73,74,78,83,89,94,97,101,104,111,119,122,127,132,135,136,139,141,142,145,151,154,155,159,163,170,177,179,181,183,187,190,197,203,205,205,211,213,217,222,226,232,235,239,242,244,250,253,259,271,277,282,292,296,305,307,310,312,317,324,328,338,346,356,363,369,374,384,393,400,410,416,429,445,454,462,477,485,499,506,517,527,541,549,557,565,570,577,583,595,607,611,623,636,642,651,661,667,677,692,704,714,731,743,753,769,776,790,804,818,828,840,850,867,871,877,884,898,906,914,924,938,950,963,973,983,995,1008,1017,1029,1047,1055,1076,1088,1105,1116,1137,1162,1176,1193,1203,1220,1249,1270,1301,1327,1355,1382,1405,1440,1481,1512,1558,1603,1647,1689,1735,1774,1821,1864,1917,1972,2015,2062,2109,2159,2211,2256,2301,2351,2404,2444,2492,2542,2588,2626,2676,2738,2779,2820,2869,2934,3001,3059,3100,3159,3221,3285,3335,3405,3462,3528,3587,3654,3729,3798,3864,3944,4032,4112,4197,4289,4401,4495,4590,4687,4794,4923,5030,5148,5275,5409,5527,5655,5774,5921,6069,6183,6327,6487,6626,6772,6906,7050,7216,7361,7553,7738,7906,8120,8329,8527,8743,8970,9196,9426,9700,9924,10166,10409,10658,10925,11233,11509,11833,12101,12417,12739,13048,13361,13688,14004,14324,14690,15060,15469,15875,16314,16671,17083,17518,17937,18365,18856,19339,19834,20308,20780,21293,21838,22417,22959,23529,24076,24639,25246,25854,26479,27152,27828,28488,29202,29896,30617,31358,32109,32902,33631,34342,35077,35841,36653,37420,38253,39067,39884,40658,41441,42277,43058,43939,44805,45701,46580,47587,48532,49592,50657,51726,52806,53936,55081,56286,57470,58652,59793,61039,62281,63546,64890,66313,67720,69233,70706,72189,73710,75211,76779,78386,80016,81690,83401,85051,86797,88592,90381,92163,94060,95984,97899,99752,101642,103576,105583,107686,109735,111806,113844,115989,118179,120461,122782,125148,127591,130101,132641,135165,137730,140462,143277,146022,148829,151832,154856,157826,160809,164015,167103,170136,173417,176684,180083,183622,187088,190636,194281,197906,201739,205707,209746,213769,217919,222165,226299,230656,235051,239534,244007,248556,253114,257863,262486,267404,272428,277574,282757,288134,293556,299087,304699,310471,316558,322591,328948,335236,341484,348022,354535,361070,367839,374570,381344,388304,395426,402584,409747,417144,424792,432667,440586,448565,456788,464935,473272,481820,490432,499106,508062,517156,526567,535811,545409,555098,564906,574829,584834,594692,604971,615245,625619,635938,646460,657050,667665,678375,689045,699828,710762,721786,732967,744202,755551,766865,778535,790385,802082,814246,826523,838847,851014
1,1,1,1,2,3,5,6,9,10,11,13,18,20,24,28,29,34,37,38,42,46,46,47,50,53,55,58,62,67,72,78,82,85,90,95,96,101,108,111,115,116,119,123,127,128,135,140,148,156,162,166,175,184,195,202,210,213,220,228,236,248,255,266,278,293,308,317,328,345,357,371,381,401,414,427,449,460,475,495,511,529,546,569,584,603,628,650,673,704,728,752,770,797,818,836,853,876,897,914,938,957,975,995,1010,1034,1048,1062,1086,1106,1122,1133,1152,1168,1186,1201,1215,1228,1246,1264,1283,1296,1313,1338,1360,1366,1379,1405,1422,1448,1466,1486,1508,1532,1553,1577,1605,1641,1672,1686,1711,1743,1775,1801,1837,1872,1892,1925,1955,1979,2012,2041,2073,2108,2132,2154,2187,2231,2264,2300,2330,2358,2389,2417,2450,2477,2515,2550,2590,2623,2665,2695,2731,2779,2809,2845,2896,2944,2998,3036,3084,3134,3187,3229,3271,3341,3411,3478,3542,3618,3700,3762,3851,3934,4025,4140,4228,4340,4444,4569,4706,4852,5025,5182,5357,5518,5681,5855,6039,6222,6414,6599,6813,7062,7280,7530,7767,8012,8261,8532,8829,9099,9349,9618,9901,10274,10639,11027,11384,11746,12127,12501,12883,13291,13694,14085,14484,14932,15344,15821,16282,16758,17225,17666,18184,18665,19129,19625,20147,20649,21177,21712,22219,22757,23289,23806,24356,24904,25464,26006,26548,27110,27631,28236,28775,29308,29863,30439,31035,31636,32290,32984,33665,34399,35139,35849,36614,37406,38274,39124,40044,40930,41845,42763,43693,44690,45668,46639,47640,48717,49720,50788,51838,52873,53982,55085,56185,57296,58457,59653,60866,62085,63252,64496,65698,66886,68152,69386,70682,72032,73378,74764,76072,77419,78850,80285,81751,83230,84678,86174,87602,89060,90585,92084,93686,95300,96909,98553,100278,101988,103745,105536,107336,109215,111085,112894,114792,116762,118666,120679,122703,124739,126753,128867,131114,133295,135480,137806,140092,142393,144831,147318,149759,152343,155066,157793,160507,163244,166121,169020,172031,175163,178271,181470,184625,187852,191173,194516,197986,201405,204956,208583,212321,216080,219867,223559,227469,231369,235388,239488,243716,248032,252392,256815,261260,265940,270578,275415,280141,284917,289809,294790,299913,305145,310444,315748,321141,326644,332325,338068,343898,349738,355539,361722,367910,374183,380514,387076,393564,400319,407052,414078,421089,427979,435219,442578,450220,457789,465616,473453,481481,489552,497883,506376,514956,523796,532620,541778,550748,559837,569382,578853,588323,598083,607886,617834,627945,638145,648494,659032,669598,680287,691340,702418,713560,724895,736305,747812,759589,771466,783356,795398,807667,819935,832307,844933,857865,870828,883929,897181,910320,923700,937446,951310,965210,979512,993541,1007648,1022214,1036751,1051606,1066556,1081484,1096611,1112056,1127594,1143062,1158783,1174652,1190621,1206682,1222919,1239289,1255925,1272680,1289525,1306272,1323351,1340564,1357490,1375008,1392727,1410511,1428296,1446271,1464268,1482159
1,1,1,1,1,3,3,4,4,7,8,10,10,10,12,15,17,18,20,21,22,28,28,30,32,36,38,40,45,49,54,54,56,56,60,63,65,68,77,84,87,93,96,98,102,105,111,116,122,132,134,137,143,149,158,165,172,173,182,188,191,193,197,208,216,221,226,230,234,239,247,256,266,274,289,294,298,303,306,312,317,324,329,331,334,339,345,349,355,361,368,373,380,385,396,401,406,414,422,424,428,433,442,447,459,471,487,496,500,508,523,536,544,560,569,580,590,598,613,619,628,633,639,651,660,675,680,683,692,698,703,716,726,734,737,748,759,771,783,787,794,802,807,812,817,831,841,853,861,869,878,886,901,911,930,942,954,962,971,986,996,1005,1022,1030,1045,1065,1080,1102,1114,1134,1154,1173,1191,1210,1225,1237,1250,1269,1294,1312,1329,1346,1364,1380,1405,1423,1441,1460,1480,1500,1522,1534,1566,1592,1612,1634,1662,1695,1727,1762,1800,1840,1880,1912,1947,1989,2040,2073,2119,2164,2197,2252,2293,2346,2396,2449,2508,2558,2634,2710,2777,2850,2934,3004,3077,3157,3246,3316,3421,3503,3589,3689,3767,3839,3924,4008,4091,4162,4252,4342,4441,4526,4602,4700,4797,4887,4966,5036,5118,5198,5276,5343,5403,5489,5558,5629,5697,5765,5824,5883,5939,6017,6071,6138,6190,6243,6297,6345,6394,6438,6482,6545,6603,6671,6737,6795,6848,6890,6940,7018,7083,7144,7191,7252,7327,7393,7464,7529,7579,7642,7704,7761,7835,7894,7955,8014,8083,8150,8226,8282,8343,8404,8470,8534,8597,8654,8718,8778,8842,8891,8946,9020,9081,9148,9217,9292,9350,9416,9482,9553,9631,9697,9746,9838,9920,9998,10081,10157,10250,10335,10410,10505,10613,10718,10827,10945,11041,11176,11286,11399,11519,11629,11740,11873,12006,12126,12237,12371,12499,12629,12759,12888,13057,13202,13333,13492,13643,13814,14005,14175,14345,14522,14712,14883,15062,15271,15472,15653,15880,16092,16298,16525,16737,16972,17197,17488,17719,17972,18241,18506,18753,19057,19388,19692,20034,20386,20715,21064,21471,21877,22255,22651,23027,23453,23850,24307,24753,25182,25605,26053,26488,26914,27381,27797,28219,28692,29135,29613,30108,30595,31082,31575,32103,32649,33176,33738,34369,34985,35585,36210,36872,37512,38216,38902,39568,40307,40981,41705,42464,43167,43928,44639,45371,46097,46867,47582,48364,49121,49880,50599,51394,52179,52936,53740,54546,55368,56203,57033,57882,58746,59574,60459,61366,62301,63254,64166,65141,66063,67036,68107,69077,70068,71102,72104,73110,74170,75299,76375,77483,78620,79732,80808,81965,83153,84311,85544,86844,88158,89432,90744,92005,93378,94745,96099,97522,98895,100307,101774,103302,104799,106283,107811,109358,110863,112461,113985,115594
1,1,1,1,1,1,1,1,2,3,4,4,4,5,7,7,7,7,8,10,11,12,16,20,22,22,24,27,28,29,32,34,36,37,41,47,52,54,62,65,70,73,76,83,90,92,95,101,105,114,121,124,129,134,139,149,157,163,168,175,179,185,192,198,202,207,217,219,221,224,231,239,241,248,252,259,271,275,279,282,286,290,296,299,304,308,312,316,322,331,333,337,340,344,348,355,363,369,374,376,384,392,396,398,402,406,416,419,422,433,438,441,445,448,455,464,469,477,488,493,498,506,519,525,529,544,554,565,577,584,598,609,620,632,644,651,660,672,680,689,702,708,720,732,748,761,765,773,779,786,797,806,814,831,834,841,846,859,870,881,890,898,911,915,922,930,939,947,954,962,970,976,981,988,992,995,1004,1016,1028,1033,1043,1049,1058,1073,1085,1088,1099,1107,1118,1124,1129,1148,1166,1180,1194,1209,1220,1238,1256,1274,1296,1322,1342,1366,1386,1406,1438,1466,1492,1527,1559,1582,1598,1626,1653,1677,1718,1757,1790,1841,1881,1928,1974,2027,2075,2127,2184,2233,2288,2352,2415,2459,2512,2561,2625,2683,2745,2804,2859,2916,2977,3029,3090,3153,3206,3276,3321,3375,3446,3508,3598,3662,3729,3832,3915,4001,4092,4177,4264,4355,4448,4544,4632,4729,4832,4926,5013,5123,5246,5386,5502,5649,5789,5929,6069,6196,6332,6470,6637,6817,7005,7196,7397,7614,7856,8061,8269,8490,8731,8973,9227,9493,9757,10034,10321,10608,10879,11169,11451,11784,12064,12411,12731,13036,13345,13672,13996,14351,14682,15018,15357,15714,16021,16406,16809,17202,17547,17910,18298,18691,19063,19476,19862,20281,20644,21035,21423,21842,22288,22753,23182,23633,24104,24554,25025,25469,25913,26383,26857,27338,27860,28341,28875,29389,29868,30375,30891,31393,31938,32519,33062,33703,34317,34921,35547,36132,36754,37461,38103,38795,39462,40154,40822,41532,42294,43001,43718,44453,45193,45962,46662,47443,48187,48901,49702,50499,51325,52129,52950,53810,54673,55586,56508,57352,58360,59312,60308,61277,62315,63302,64360,65392,66503,67590,68729,69867,70976,72150,73386,74585,75834,77118,78385,79646,80867,82168,83460,84767,86149,87483,88852,90203,91585,93033,94390,95854,97337,98807,100337,101818,103408,104981,106611,108256,109939,111685,113480,115246,117068,119009,120955,122917,124926,126949,129032,131149,133378,135548,137727,140023,142247,144543,146870,149304,151743,154133,156562,159130,161795,164395,167120,169906,172857,175788,178778,181885,185061,188187,191333,194595,198031,201538,205059,208687,212430,216442,220372,224367,228537,232742,237142,241619,246215,250878,255561,260473,265442,270384,275513,280698,285975,291409,296993,302662,308370,314223,320221,326229,332231,338383,344631,350852,357211,363891,370436,377162,384115
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1,1,1,1,1,1,2,4,4,6,8,9,9,10,10,10,11,13,15,15,17,19,21,22,24,26,26,27,29,31,35,39,42,48,51,52,53,55,57,61,63,65,70,75,79,83,85,93,94,96,97,103,109,113,115,115,120,123,126,127,129,132,134,135,138,140,141,145,146,148,150,152,156,159,164,169,172,173,176,176,181,182,184,189,191,195,203,204,209,211,214,215,216,217,217,218,226,230,235,240,244,249,257,261,264,274,283,287,291,294,296,302,307,311,320,326,333,337,343,351,354,358,363,369,378,381,384,387,391,401,406,414,423,430,438,446,457,466,472,476,488,496,506,516,523,529,539,545,557,565,574,579,588,594,601,607,612,620,628,636,646,659,669,678,685,693,702,709,720,730,741,744,757,770,777,784,793,803,809,814,822,832,841,852,867,877,887,896,910,931,948,961,977,990,999,1014,1030,1043,1055,1074,1090,1102,1119,1135,1162,1178,1193,1211,1236,1263,1285,1316,1346,1378,1422,1455,1490,1531,1563,1593,1632,1662,1691,1731,1767,1807,1850,1886,1923,1964,2009,2051,2093,2133,2184,2229,2281,2328,2382,2427,2474,2522,2581,2631,2694,2749,2813,2877,2928,2987,3047,3104,3183,3278,3367,3464,3542,3610,3681,3760,3846,3944,4053,4166,4280,4409,4529,4653,4774,4938,5090,5242,5369,5510,5662,5806,5940,6107,6251,6409,6558,6710,6867,7029,7200,7377,7545,7740,7899,8073,8245,8426,8616,8797,8984,9177,9367,9543,9748,9958,10201,10431,10653,10884,11118,11359,11642,11917,12182,12479,12802,13145,13484,13867,14260,14669,15107,15589,16068,16539,16995,17562,18095,18661,19250,19825,20358,20915,21547,22181,22899,23586,24298,24989,25700,26480,27281,28073,28882,29723,30529,31383,32288,33174,34053,34951,35888,36819,37770,38799,39748,40795,41730,42689,43700,44676,45672,46661,47643,48733,49883,51016,52155,53274,54419,55630,56826,58074,59270,60602,61907,63330,64699,66036,67419,68833,70268,71746,73220,74670,76180,77701,79271,80858,82433,84047,85700,87425,89107,90850,92563,94350,96084,97925,99671,101554,103449,105389,107336,109411,111500,113671,115876,118106,120350,122675,125105,127455,130000,132565,135138,137682,140335,143155,145945,148807,151772,154696,157700,160789,164016,167240,170494,173846,177234,180794,184338,187979,191697,195356,199265,203145,207198,211258,215447,219708,224049,228490,232995,237423,242282,247163,252057,257076,262219,267661,272886,278292,283765,289417,294963,300700,306577,312502,318621,324674,330796,337070,343491,350128,356675,363508,370301,377307,384241,391240,398453,405761,413025,420513,427979,435683,443241,450914,458668,466579,474525,482468,490405,498750,507139,515450,524099,532711,541451,550220,559049,568268,577579,587028,596406,605864,615618,625516,635510,645377,655657
1,1,1,1,1,2,2,3,4,5,7,7,7,7,7,7,8,8,10,13,15,21,22,24,25,25,29,31,32,34,38,39,45,49,53,59,63,65,74,77,79,89,95,96,101,106,113,117,120,122,125,130,136,139,140,144,150,154,159,165,169,170,173,176,181,188,189,193,197,201,203,213,219,221,223,227,227,232,234,240,248,255,263,273,277,281,288,294,299,307,314,317,327,328,333,339,346,354,363,368,373,382,391,399,405,413,424,435,437,452,460,474,487,493,508,532,553,568,582,599,618,635,657,668,694,713,737,766,795,817,837,856,884,901,930,946,971,995,1017,1040,1066,1099,1131,1150,1178,1201,1233,1258,1270,1297,1337,1366,1395,1427,1456,1477,1517,1554,1587,1629,1669,1712,1771,1816,1871,1933,1992,2055,2112,2164,2225,2277,2339,2414,2476,2543,2602,2655,2738,2806,2878,2935,2996,3073,3131,3200,3281,3358,3447,3536,3643,3733,3827,3925,4017,4128,4241,4334,4461,4575,4711,4838,4970,5112,5257,5395,5538,5660,5788,5915,6049,6206,6364,6522,6666,6815,6972,7138,7331,7483,7648,7820,8019,8240,8419,8607,8773,8963,9161,9362,9571,9777,9972,10168,10385,10599,10846,11074,11300,11569,11855,12156,12424,12718,13061,13401,13777,14161,14521,14871,15320,15728,16119,16527,16944,17396,17899,18378,18865,19343,19840,20379,20921,21458,22029,22570,23161,23745,24351,24969,25598,26216,26843,27493,28146,28862,29556,30255,31017,31808,32586,33329,34060,34822,35611,36393,37178,38019,38958,39868,40708,41558,42448,43325,44221,45209,46181,47131,48082,49014,50010,50939,51891,52910,53882,54873,55966,57083,58116,59177,60292,61405,62472,63673,64839,66079,67290,68430,69619,70906,72150,73419,74779,76158,77520,78976,80511,82016,83570,85219,86765,88347,90056,91750,93493,95226,97044,98878,100714,102705,104706,106640,108707,110808,112915,115029,117208,119490,121757,124100,126586,129060,131589,134213,136810,139560,142322,145072,147915,150840,153892,156989,160195,163402,166738,170085,173547,176939,180438,184004,187514,191207,195025,198980,202886,206866,210925,215166,219296,223646,227897,232266,236709,241294,246051,250798,255598,260399,265228,270205,275170,280279,285395,290685,295919,301226,306690,312314,318000,323850,329675,335655,341842,347933,354208,360657,367208,373779,380550,387287,394261,401294,408252,415427,422744,430124,437580,445078,452617,460546,468384,476346,484579,492854,501015,509536,518319,527130,536058,545111,554441,564050,573855,583707,593820,604351,614705,625467,636546,647504,658602,670032,681645,693247,704929,716867,729018,741330,753816,766580,779423,792209,805225,818471,831829,845472,858973,872584,886341,900283,914196,928218,942350,956614,970932,985382,1000068,1014839,1029911,1044952,1059965,1075346,1090810,1106336,1122048,1137895,1153965,1170180,1186233,1202932,1219411,1236108,1252644,1269315,1285992,1303213,1320332,1337636,1355011,1372516,1390158,1408033,1426072,1444495,1462639,1480942,1499384
1,1,1,1,1,2,2,2,4,4,5,5,5,5,5,6,7,9,11,12,15,18,19,20,24,31,35,39,41,43,46,51,56,59,61,64,72,76,82,86,92,97,106,111,112,118,125,130,138,147,153,163,170,178,185,187,193,202,210,218,222,229,233,243,250,253,259,266,270,275,285,287,290,294,299,304,306,311,316,322,324,327,333,336,340,345,350,352,352,352,354,357,357,363,366,373,376,380,384,388,394,399,402,404,411,417,422,428,433,443,449,455,463,470,481,486,490,495,513,519,522,531,535,547,556,562,566,573,576,586,593,596,600,603,607,614,617,621,627,633,636,643,646,649,653,656,660,662,662,663,666,668,673,674,678,683,687,689,689,691,692,694,696,697,697,701,702,705,708,711,714,719,721,723,723,724,726,726,730,732,733,734,735,735,735,736,739,739,739,739,740,740,742,743,743,746,746,748,749,750,751,754,754,755,755,755,756,756,757,757,758,760,760,760,761,761,761,762,763,763,764,764,765,766,768,768,768,768,768,768,768,768,769,770,771,772,772,772,772,772,773,773,773,773,773,773,773,774,775,775,775,775,775,775,775,775,775,778,781,782,788,793,798,804,811,814,821,827,833,840,848,858,866,881,894,907,920,943,957,974,996,1015,1036,1057,1084,1103,1123,1149,1176,1207,1227,1253,1280,1309,1324,1354,1379,1408,1431,1463,1489,1505,1525,1548,1570,1585,1614,1644,1666,1698,1726,1758,1788,1828,1858,1899,1934,1965,2006,2067,2121,2173,2235,2277,2336,2386,2441,2498,2572,2644,2717,2794,2872,2933,3000,3062,3131,3208,3295,3367,3451,3538,3614,3677,3751,3849,3923,3989,4076,4143,4217,4298,4369,4455,4519,4603,4676,4777,4862,4945,5024,5107,5204,5316,5427,5536,5638,5753,5873,5973,6064,6175,6287,6414,6540,6657,6790,6918,7047,7171,7315,7481,7619,7759,7896,8053,8210,8370,8551,8728,8943,9136,9315,9516,9700,9916,10130,10324,10563,10774,11013,11240,11436,11697,11953,12202,12440,12739,13038,13333,13615,13933,14248,14568,14938,15307,15690,16067,16459,16872,17326,17734,18164,18580,18995,19390,19794,20251,20656,21081,21531,21977,22446,22909,23336,23773,24233,24726,25223,25726,26235,26754,27334,27929,28493,29117,29748,30399,31088,31802,32519,33295,34078,34890,35713,36603,37528,38400,39307,40259,41161,42153,43147,44185,45233,46326,47489,48639,49841,51076,52253,53534,54807,56069,57308,58539,59853,61197,62549,63969,65351,66698,68116,69474,70852,72264,73791,75293,76833,78354,79866,81424,83027,84605,86186,87845,89443
1,1,1,1,1,1,1,2,2,4,6,7,8,9,9,10,11,11,12,15,17,18,18,19,20,23,25,29,34,37,40,41,47,50,56,61,65,71,76,82,85,89,92,96,99,102,106,108,111,124,128,129,134,147,149,157,163,166,169,175,186,191,197,203,208,218,222,231,237,243,251,257,259,265,268,275,279,288,294,296,302,303,307,310,313,323,329,335,340,346,350,352,356,362,363,368,368,374,380,381,382,384,386,389,392,394,396,399,403,404,408,408,411,413,417,418,419,421,422,424,424,425,427,428,428,431,432,434,434,435,436,438,438,442,442,446,449,450,453,456,456,456,459,461,464,467,471,474,478,479,481,490,491,500,507,519,528,540,548,553,561,570,580,591,597,614,626,637,653,674,685,700,712,727,738,748,761,774,793,807,827,845,865,885,907,924,949,964,980,1008,1031,1057,1076,1100,1132,1175,1211,1255,1302,1334,1385,1431,1480,1536,1603,1669,1734,1797,1873,1935,2004,2078,2151,2222,2289,2363,2452,2558,2649,2720,2789,2864,2939,3016,3093,3193,3287,3375,3474,3555,3659,3783,3917,4046,4208,4358,4490,4629,4773,4906,5052,5216,5345,5523,5680,5844,5994,6153,6339,6503,6659,6806,6959,7116,7287,7448,7587,7765,7924,8065,8189,8345,8485,8641,8784,8944,9103,9260,9460,9654,9816,10003,10217,10439,10670,10919,11163,11437,11701,11961,12244,12515,12832,13130,13426,13690,13970,14264,14605,14944,15277,15630,15999,16373,16719,17092,17461,17788,18136,18468,18850,19267,19643,20070,20496,20941,21373,21846,22317,22772,23282,23816,24360,24908,25431,26022,26596,27179,27785,28354,28957,29546,30180,30771,31432,32041,32720,33368,34006,34591,35294,35928,36592,37227,37864,38536,39174,39814,40419,41023,41679,42329,42999,43643,44323,44959,45646,46273,46952,47626,48277,49018,49742,50482,51222,51962,52690,53466,54196,54895,55675,56478,57246,57997,58821,59638,60473,61328,62143,63033,63895,64803,65673,66574,67416,68303,69195,70115,71011,71939,72889,73887,74882,75872,76899,78020,79079,80158,81285,82394,83497,84668,85868,87097,88416,89686,91014,92375,93776,95147,96558,98035,99459,100899,102326,103779,105295,106860,108478,110059,111662,113316,115056,116846,118628,120456,122408,124337,126270,128296,130396,132418,134529,136554,138689,140825,143043,145333,147597,149981,152259,154639,157111,159493,162049,164549,167275,170006,172648,175450,178183,181022,183932,186890,189896,192867,195966,199072,202285,205528,208827,212198,215633,219047,222585,226064,229651,233254,236903,240683,244441,248292,252087,256075,260066,264154,268339,272476,276661,281033,285488,289886,294508,299199,304096,308940,314030,319057,324206,329407,334652,339906,345265,350683,356288,361861,367520,373364,379232,385118,390968,396916,403089,409347,415706,421988,428660
1,1,1,5,6,10,11,12,15,21,23,31,45,56,68,85,112,131,161,203,230,271,324,373,422,494,555,619,688,745,806,868,925,980,1047,1097,1156,1204,1247,1287,1337,1379,1420,1476,1523,1584,1611,1655,1698,1737,1773,1811,1845,1871,1909,1948,1999,2034,2081,2117,2163,2204,2245,2280,2324,2374,2414,2467,2510,2552,2590,2632,2671,2714,2758,2788,2819,2853,2884,2924,2962,2993,3023,3052,3087,3125,3166,3202,3250,3289,3328,3366,3395,3427,3474,3501,3535,3589,3640,3672,3731,3777,3831,3877,3927,3976,4027,4076,4128,4181,4232,4288,4341,4390,4446,4503,4554,4617,4664,4717,4779,4823,4872,4944,4999,5044,5080,5125,5172,5229,5270,5320,5369,5425,5482,5548,5599,5653,5716,5760,5813,5865,5910,5987,6039,6095,6167,6239,6299,6370,6444,6529,6611,6695,6770,6857,6944,7034,7134,7210,7315,7425,7533,7639,7755,7868,7990,8122,8229,8320,8444,8557,8674,8785,8885,9004,9123,9212,9320,9437,9558,9661,9764,9858,9997,10109,10252,10379,10484,10602,10723,10873,11023,11177,11322,11490,11654,11820,12043,12239,12471,12678,12929,13205,13469,13728,13991,14290,14594,14900,15213,15506,15817,16161,16531,16914,17319,17701,18152,18618,19004,19445,19892,20337,20817,21257,21736,22195,22669,23157,23596,24083,24587,25093,25563,26042,26515,26960,27452,27889,28375,28877,29382,29893,30424,30915,31415,31926,32452,32990,33519,34048,34633,35194,35702,36232,36830,37434,38036,38626,39186,39799,40364,40971,41580,42166,42740,43366,44016,44632,45234,45892,46505,47179,47852,48565,49326,50029,50826,51589,52356,53142,53938,54765,55664,56524,57438,58313,59228,60142,61086,62060,63074,64102,65154,66244,67338,68432,69589,70753,71948,73180,74369,75707,76999,78259,79515,80791,82066,83301,84639,85945,87303,88644,89996,91437,92840,94232,95724,97200,98726,100241,101855,103438,105156,106879,108650,110423,112259,114167,116019,117924,119872,121745,123703,125658,127652,129681,131832,133907,135994,138078,140192,142425,144696,146841,149110,151425,153771,156102,158561,161024,163452,165972,168481,171040,173694,176386,179029,181759,184556,187316,190234,193086,196018,198996,202013,205024,208092,211233,214381,217542,220797,224082,227462,230947,234330,237808,241376,245004,248811,252648,256561,260513,264622,268771,273123,277695,282227,286751,291477,296193,301027,306036,311235,316600,321876,327343,333045,338806,344672,350646,356676,362910,369260,375553,382147,388889,395550,402571,409412,416253,423125,430155,437365,444567,451941,459447,466956,474731,482523,490343,498370,506424,514565,522868,531256,539626,548147,557105,566201,575432,584927,594505,604256,614165,623975,634324,644720,655161,665655,676381,687252,698356,709706,721011,732554,744317,755863,767794,779942,792294,804774,817316,829965,842879,855879,869039,882327,895900,909581,923100,936910,950801,964981,979408,993766,1008211,1022917,1037565,1052556,1067924,1083315,1099048,1114479,1130231,1146104,1162075,1178166,1194520,1211058,1227738,1244640,1261684,1278975,1296151,1313670,1331028,1348594,1366330,1384037,1402133,1420282,1438490,1457177,1475623,1494415
1,1,1,1,1,2,3,3,3,5,6,7,7,8,8,8,9,10,11,12,12,16,18,23,24,26,26,27,27,28,28,29,32,32,34,34,37,39,41,44,47,49,50,51,51,52,54,56,57,60,61,62,62,63,63,65,65,65,65,67,68,71,74,78,79,84,85,88,91,91,97,101,101,108,113,115,122,125,132,136,142,146,151,152,156,159,161,162,164,165,169,172,177,183,183,188,191,194,201,205,209,211,212,218,221,224,228,232,237,240,249,253,258,265,269,276,288,294,299,311,322,329,338,348,355,362,370,382,397,412,433,448,463,479,491,507,519,533,550,569,580,591,603,621,640,652,666,689,701,720,730,749,768,782,796,819,835,846,859,874,895,923,951,981,1013,1042,1070,1097,1127,1160,1186,1227,1271,1302,1339,1365,1387,1413,1443,1474,1508,1538,1561,1594,1615,1636,1660,1682,1698,1714,1739,1758,1777,1804,1828,1849,1867,1888,1907,1935,1952,1976,2008,2035,2055,2088,2114,2141,2154,2176,2195,2215,2238,2250,2282,2309,2331,2351,2375,2394,2414,2438,2460,2484,2507,2532,2551,2575,2593,2613,2633,2662,2681,2708,2734,2766,2800,2835,2862,2897,2930,2962,2999,3028,3067,3104,3139,3174,3216,3257,3292,3343,3381,3429,3488,3536,3596,3659,3728,3791,3877,3941,4036,4121,4196,4282,4380,4455,4533,4610,4684,4762,4826,4875,4940,5011,5079,5146,5221,5288,5354,5439,5508,5583,5667,5761,5850,5957,6059,6183,6301,6417,6536,6653,6777,6917,7032,7138,7273,7408,7539,7653,7797,7925,8026,8155,8273,8399,8515,8634,8743,8845,8961,9085,9221,9346,9456,9552,9634,9740,9854,9965,10062,10158,10262,10368,10481,10594,10699,10825,10945,11066,11190,11310,11439,11560,11680,11794,11903,12034,12138,12275,12402,12531,12669,12791,12917,13046,13173,13298,13423,13566,13702,13817,13954,14090,14203,14339,14467,14616,14806,14987,15172,15330,15488,15679,15851,16049,16245,16453,16659,16882,17130,17380,17627,17834,18059,18305,18539,18773,19030,19315,19571,19851,20082,20353,20598,20871,21126,21423,21701,21976,22254,22522,22795,23091,23366,23655,23973,24251,24555,24849,25182,25545,25913,26274,26681,27077,27524,27935,28365,28802,29272,29736,30160,30653,31132,31597,32102,32569,33063,33557,34066,34590,35104,35620,36123,36631,37130,37654,38187,38724,39265,39815,40371,40991,41589,42210,42850,43481,44134,44798,45505,46291,47027,47758,48553,49335,50177,50963,51798,52668,53496,54316,55149,56075,56915,57757,58661,59560,60440,61362,62367,63442,64347,65356,66328,67306,68327,69332,70361,71444,72545,73678,74830,75982,77250,78481,79752,81099,82442,83876,85377,86860,88355,89863,91441,93046,94634,96211,97862,99542,101258,102973,104718,106531,108389
1,1,1,1,1,4,4,6,7,8,9,10,11,11,11,11,11,12,13,16,20,21,24,27,30,32,33,36,36,44,50,60,66,71,76,83,89,94,98,105,107,114,119,120,125,129,134,138,143,147,150,154,156,160,162,166,170,174,175,177,179,182,183,186,191,195,199,201,203,206,208,210,215,220,224,226,228,232,241,246,248,258,264,277,284,293,298,307,318,331,335,343,358,368,378,392,395,406,419,428,434,442,454,462,468,475,485,496,503,515,524,535,543,554,560,573,584,590,603,611,622,636,643,650,664,679,693,707,723,740,753,762,772,780,791,802,811,819,837,846,853,867,882,902,918,934,948,965,987,1002,1020,1034,1055,1070,1097,1111,1128,1157,1182,1205,1230,1243,1269,1293,1314,1343,1380,1411,1448,1475,1510,1542,1580,1628,1699,1792,1882,1981,2079,2167,2263,2375,2467,2564,2668,2763,2877,2965,3056,3148,3230,3320,3401,3482,3567,3644,3722,3798,3873,3954,4019,4080,4171,4245,4319,4388,4472,4546,4621,4686,4791,4873,4958,5012,5107,5185,5290,5368,5459,5537,5615,5715,5805,5891,5969,6049,6151,6242,6343,6462,6596,6704,6826,6932,7072,7198,7359,7507,7661,7814,7978,8156,8310,8505,8711,8912,9112,9316,9499,9732,9945,10172,10390,10606,10849,11056,11301,11528,11784,12044,12292,12563,12831,13102,13381,13690,13988,14287,14571,14878,15202,15530,15845,16214,16552,16889,17231,17577,18005,18424,18806,19203,19650,20082,20505,20963,21434,21957,22483,23037,23633,24226,24814,25448,26110,26749,27409,28126,28825,29557,30277,30970,31735,32515,33222,34035,34844,35706,36580,37517,38485,39452,40425,41408,42428,43557,44643,45757,46898,48087,49287,50529,51877,53146,54505,55825,57222,58557,59923,61354,62878,64413,65974,67530,69163,70839,72526,74257,76044,77748,79535,81279,83042,84845,86769,88669,90630,92544,94555,96546,98619,100788,103028,105270,107516,109783,112134,114519,116969,119448,122091,124659,127359,130081,132799,135558,138470,141471,144411,147338,150358,153400,156585,159626,162751,165927,169038,172234,175574,178969,182392,185905,189499,193089,196661,200324,203991,207941,211965,215930,220024,224095,228255,232473,236876,241367,245920,250549,255266,260025,264980,269862,274835,279886,284983,290209,295511,300902,306417,311980,317651,323542,329467,335303,341424,347672,353897,360181,366522,373139,379824,386436,393323,400254,407342,414463,421796,429137,436612,444255,451801,459487,467325,475355,483541,491790,500081,508494,517210,525995,534954,544135,553179,562361,571720,581121,590642,600349,609978,619899,630051,640441,650808,661185,671778,682540,693283,704421,715603,727029,738613,750204,762117,774373,786788,799487,812126,824804,837840,850885,864059,877658,891272,904942,918649,932428,946448,960356,974613,989075,1003852,1018635,1033589,1048630,1063794,1079104,1094738,1110614,1126288,1142223,1158305,1174477,1190780,1207310,1223947,1240813,1257747
1,1,1,1,1,1,2,2,2,4,4,4,4,4,5,6,6,7,7,8,11,12,13,14,16,18,20,24,27,34,39,41,44,50,54,57,62,69,73,76,80,84,90,96,104,112,116,118,123,126,131,136,142,145,152,157,164,168,177,182,185,187,192,196,203,210,217,228,239,254,262,269,277,285,289,293,299,305,314,324,337,347,356,367,376,382,391,400,413,428,435,443,451,463,476,482,493,510,524,536,544,560,572,581,589,597,610,624,631,639,645,648,658,667,679,687,697,705,712,721,727,738,749,761,768,781,792,797,805,814,822,827,845,859,876,882,898,918,930,940,951,962,981,993,1013,1026,1038,1054,1074,1084,1106,1116,1124,1137,1162,1173,1183,1200,1221,1244,1259,1269,1284,1305,1318,1329,1344,1360,1372,1394,1411,1425,1445,1461,1477,1502,1514,1527,1550,1575,1598,1628,1651,1673,1696,1723,1758,1784,1814,1841,1868,1905,1931,1951,1977,2002,2033,2063,2100,2120,2147,2182,2214,2242,2282,2318,2357,2391,2420,2451,2495,2536,2586,2618,2657,2696,2734,2775,2810,2854,2900,2955,3015,3054,3101,3172,3230,3307,3368,3436,3523,3592,3688,3759,3858,3945,4029,4138,4237,4337,4445,4554,4656,4758,4874,5006,5137,5253,5389,5502,5642,5771,5891,6036,6173,6312,6455,6580,6723,6872,7024,7226,7444,7684,7900,8140,8406,8703,8982,9245,9529,9812,10120,10445,10779,11117,11456,11776,12163,12515,12869,13267,13681,14096,14535,14996,15473,15946,16403,16884,17416,17924,18407,18905,19408,19954,20455,20981,21460,21976,22522,23048,23571,24141,24665,25231,25818,26392,26973,27581,28267,28923,29561,30238,30917,31626,32403,33150,33923,34674,35430,36180,36948,37702,38507,39277,40021,40830,41603,42459,43301,44174,45080,45931,46811,47736,48709,49704,50704,51666,52666,53710,54785,55796,56892,57976,59174,60425,61629,62908,64174,65465,66824,68151,69545,70903,72347,73761,75209,76660,78112,79608,81088,82534,84066,85609,87138,88668,90268,91882,93513,95234,96939,98693,100400,102134,103891,105664,107452,109255,111034,112836,114662,116490,118319,120205,122218,124234,126289,128357,130548,132770,134937,137168,139412,141797,144166,146643,149045,151651,154261,156953,159538,162179,164955,167714,170504,173328,176237,179226,182171,185182,188131,191263,194440,197576,200946,204361,207859,211335,214950,218530,222260,225979,229736,233451,237425,241454,245570,249728,253897,258259,262694,266960,271412,276014,280680,285460,290246,295104,299940,305012,310006,315080,320327,325539,330824,336104,341565,347105,352760,358440,364214,370171,375961,381816,387885,393861,399771,406054,412326,418572,424933,431482,438206,444836,451586,458415,465423,472446,479689,486795,494045,501250,508690,516222,523830,531579,539340,547122,554997,563008,571132,579342,587587,595836,604200,612692,621378,630205,639072,647994,657106,666410,675527,685000,694639
1,1,1,1,1,1,1,3,4,5,5,5,5,6,6,7,9,12,15,19,25,28,34,38,43,48,51,53,60,66,74,78,82,90,93,96,100,104,109,113,115,121,124,130,132,137,140,147,149,157,162,165,171,176,180,189,196,200,200,204,205,209,212,217,222,233,246,253,259,267,279,287,295,307,319,327,335,340,351,358,367,381,388,394,406,418,430,443,455,467,486,501,507,520,534,554,568,582,596,611,625,637,653,671,692,706,716,729,744,766,780,789,805,816,828,840,850,865,887,900,926,950,974,1004,1030,1065,1094,1128,1146,1183,1221,1245,1273,1297,1315,1335,1370,1404,1434,1463,1485,1511,1541,1571,1598,1623,1644,1670,1690,1710,1730,1750,1770,1795,1815,1839,1865,1884,1899,1920,1935,1959,1980,2001,2031,2057,2077,2101,2127,2153,2168,2190,2215,2238,2260,2275,2295,2312,2322,2335,2357,2380,2395,2404,2420,2435,2454,2461,2465,2473,2480,2489,2497,2505,2521,2535,2545,2560,2573,2584,2597,2602,2625,2642,2653,2664,2676,2690,2705,2723,2733,2753,2773,2797,2820,2841,2857,2876,2890,2904,2921,2945,2959,2981,3004,3029,3057,3084,3104,3135,3167,3195,3219,3244,3267,3287,3320,3344,3373,3405,3433,3457,3489,3515,3542,3571,3593,3623,3645,3672,3702,3734,3756,3783,3802,3825,3846,3876,3905,3931,3956,3985,4005,4033,4056,4080,4113,4143,4171,4196,4240,4271,4307,4350,4386,4419,4456,4499,4541,4578,4609,4646,4687,4727,4771,4816,4869,4919,4963,5012,5064,5105,5158,5217,5282,5329,5385,5451,5513,5559,5624,5689,5750,5802,5858,5922,5995,6044,6118,6182,6256,6324,6401,6471,6542,6616,6675,6719,6778,6844,6929,7005,7088,7173,7260,7362,7440,7527,7619,7713,7808,7915,8019,8130,8232,8359,8481,8601,8712,8805,8912,9019,9146,9267,9376,9493,9617,9760,9892,10037,10190,10342,10544,10709,10896,11091,11315,11537,11744,11955,12184,12352,12562,12781,13014,13247,13495,13746,13978,14264,14549,14824,15109,15395,15707,16003,16342,16666,17021,17387,17760,18151,18494,18939,19343,19778,20208,20632,21082,21571,22012,22456,22955,23404,23836,24246,24684,25118,25541,25943,26392,26814,27235,27659,28072,28492,28937,29344,29731,30149,30636,31107,31605,32108,32596,33094,33568,34077,34565,35083,35620,36190,36790,37350,37941,38549,39110,39676,40281,40854,41425,42059,42682,43295,43919,44553,45175,45786,46449,47132,47800,48497,49236,49943,50657,51397,52203,52934,53705,54527,55372,56239,57128,58014,58925,59878,60867,61823,62835,63844,64912,66003,67133,68255,69423,70587,71799,73078,74411,75782,77212,78653,80113,81650,83206,84752,86329,87973,89657,91310,93025,94806,96548,98283,100110,101993,103843,105702,107716,109718,111749,113778,115831,117863,119932,122087,124088
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1,1,1,1,1,1,5,6,6,6,7,8,8,9,10,12,13,14,15,16,17,20,23,26,27,28,30,34,34,38,45,49,55,58,60,63,70,75,85,89,92,101,105,112,120,124,133,135,143,149,158,161,166,169,175,177,183,188,195,199,205,208,213,219,223,229,237,241,245,254,257,263,267,274,283,287,291,298,304,306,315,317,321,324,329,337,343,346,351,358,361,364,372,378,387,390,394,398,400,407,415,419,433,444,455,472,481,486,493,498,513,523,537,551,564,572,584,602,609,621,625,637,649,659,676,687,701,715,734,751,764,775,782,796,810,819,825,839,846,861,869,885,897,908,918,926,932,936,945,956,966,968,973,988,999,1009,1017,1027,1037,1048,1058,1065,1079,1087,1098,1101,1109,1119,1131,1138,1154,1163,1173,1183,1189,1198,1211,1223,1236,1249,1259,1267,1283,1300,1316,1326,1338,1359,1382,1405,1426,1450,1476,1494,1515,1549,1572,1599,1635,1661,1695,1729,1774,1838,1879,1914,1971,2017,2062,2108,2153,2202,2287,2372,2450,2525,2609,2688,2759,2855,2965,3048,3155,3241,3337,3442,3547,3639,3748,3855,3947,4070,4168,4273,4404,4514,4618,4749,4858,4946,5058,5180,5285,5407,5526,5628,5758,5884,6020,6137,6287,6416,6542,6677,6829,6971,7132,7283,7452,7590,7761,7921,8081,8273,8463,8631,8802,8987,9191,9412,9621,9804,10001,10228,10452,10687,10906,11140,11376,11606,11831,12059,12318,12546,12777,12977,13232,13476,13739,14003,14246,14522,14811,15061,15358,15644,15960,16267,16591,16911,17222,17524,17865,18203,18520,18865,19210,19576,19963,20366,20752,21127,21522,21933,22371,22770,23224,23706,24169,24602,25077,25542,26021,26514,27057,27593,28120,28653,29239,29780,30320,30879,31441,32031,32674,33311,33929,34597,35287,35970,36713,37467,38212,38974,39731,40503,41361,42183,43049,43962,44899,45791,46709,47566,48493,49464,50420,51513,52505,53527,54538,55602,56711,57837,59019,60168,61324,62497,63671,64993,66313,67629,69032,70421,71832,73275,74663,76120,77707,79286,80949,82588,84298,86067,87903,89687,91545,93415,95416,97434,99517,101562,103715,105977,108109,110279,112492,114672,116933,119243,121568,123977,126401,128809,131281,133742,136219,138808,141484,144163,146810,149474,152238,155060,157911,160731,163557,166478,169495,172475,175667,178814,181989,185159,188443,191601,194876,198420,202051,205540,209198,212886,216768,220631,224633,228612,232795,236969,241289,245514,249838,254196,258681,263299,267815,272379,276987,281811,286678,291692,296524,301584,306724,311916,317215,322536,327883,333402,339057,344661,350305,356181,362113,368113,374286,380600,386970,393362,399786,406469,413189,419820,426652,433556,440612,447702,455253,462855,470517,478265,486160,494195,502114,510403,518754,527303,535825,544322,553120,562031,571091,580225,589502,598942,608568,618115,627864
1,1,1,1,1,1,2,4,4,7,8,10,10,10,10,10,10,10,10,11,11,13,13,14,14,14,15,15,15,15,15,15,15,15,15,15,17,18,19,20,20,20,21,23,23,24,25,25,25,26,27,27,29,32,32,32,32,32,32,32,33,35,36,38,39,40,41,41,41,41,42,43,43,43,44,45,45,48,50,50,51,51,53,55,56,57,59,65,65,67,68,71,74,79,80,82,82,88,92,98,100,106,108,111,114,115,117,123,129,132,136,141,142,150,155,159,167,173,182,195,201,208,217,223,232,242,251,268,275,282,291,299,304,310,320,324,337,346,358,364,378,386,396,401,411,421,434,445,453,469,485,500,513,526,540,554,563,577,585,593,614,631,646,662,672,690,709,723,737,749,763,772,789,812,830,842,857,875,899,916,932,954,965,984,995,1011,1028,1044,1057,1078,1091,1108,1122,1139,1154,1174,1193,1209,1224,1238,1255,1266,1289,1300,1318,1336,1344,1357,1371,1384,1406,1435,1453,1463,1483,1503,1520,1534,1559,1576,1601,1618,1638,1663,1689,1711,1739,1770,1796,1817,1843,1859,1886,1915,1948,1972,2010,2057,2088,2141,2171,2194,2237,2296,2368,2438,2526,2594,2681,2777,2883,3005,3104,3212,3326,3453,3578,3699,3809,3934,4042,4165,4304,4444,4574,4716,4897,5085,5290,5474,5674,5912,6129,6346,6548,6747,6961,7172,7369,7565,7772,7928,8115,8283,8459,8614,8769,8912,9032,9172,9315,9438,9565,9698,9814,9929,10040,10176,10302,10435,10576,10713,10856,10995,11115,11262,11383,11530,11665,11807,11943,12074,12189,12318,12435,12555,12670,12795,12904,13018,13134,13241,13343,13442,13555,13672,13800,13914,14026,14151,14277,14412,14555,14671,14800,14926,15052,15202,15341,15479,15633,15779,15926,16081,16250,16439,16646,16807,16976,17186,17401,17618,17827,18072,18292,18523,18736,18988,19250,19493,19770,20038,20323,20628,20920,21206,21496,21815,22121,22457,22734,23089,23451,23776,24102,24439,24761,25146,25491,25836,26236,26609,26978,27374,27800,28221,28626,29058,29511,29979,30501,30982,31501,31985,32509,33016,33566,34119,34725,35321,35897,36521,37065,37687,38319,38978,39617,40272,40918,41597,42225,42885,43583,44237,44935,45680,46335,47043,47772,48522,49280,50020,50802,51635,52489,53329,54194,55086,56013,56939,57928,58926,59952,60988,62046,63104,64194,65253,66352,67560,68780,70068,71310,72565,73852,75136,76458,77772,79157,80505,81952,83486,85036,86623,88190,89794,91457,93145,94887,96657,98473,100315,102197,104180,106241,108413,110563,112687,114865,117042,119254,121542,123887,126240,128666,131053,133460,135857,138171,140548,142957,145313,147814,150268,152689,155229,157773,160347,163030,165722,168537,171229,174074,177000,179970,183001,186187
1,1,1,1,1,4,4,5,5,6,7,7,7,7,7,7,8,8,8,8,8,8,8,10,10,10,11,11,13,14,15,16,19,19,20,25,26,29,31,31,32,34,37,40,40,44,47,54,55,57,63,64,67,69,75,77,82,85,89,94,99,101,104,109,112,115,117,119,122,126,133,139,141,145,149,154,156,161,163,166,171,176,179,185,187,193,197,203,207,213,220,229,233,233,243,248,255,261,271,282,291,299,306,313,318,327,339,346,355,367,377,386,394,401,412,416,424,433,442,449,457,468,476,486,500,511,517,525,534,546,550,559,568,580,588,595,606,613,618,621,628,636,647,653,658,669,673,682,691,697,705,711,717,723,726,732,741,750,760,776,786,790,804,814,819,828,838,844,853,863,871,886,900,914,920,930,939,952,960,970,980,988,999,1008,1017,1019,1027,1036,1044,1052,1059,1075,1086,1094,1105,1115,1124,1131,1140,1144,1156,1159,1173,1180,1189,1201,1214,1230,1242,1251,1262,1271,1278,1288,1296,1304,1317,1332,1345,1356,1365,1374,1387,1399,1411,1418,1426,1438,1447,1457,1465,1472,1480,1484,1492,1502,1508,1518,1534,1539,1552,1561,1570,1576,1583,1600,1608,1618,1628,1630,1639,1647,1652,1658,1663,1675,1682,1686,1693,1702,1707,1712,1723,1730,1739,1749,1758,1767,1772,1773,1776,1784,1792,1799,1810,1819,1823,1829,1838,1840,1848,1853,1860,1864,1868,1871,1880,1887,1892,1896,1896,1902,1905,1907,1907,1909,1911,1912,1917,1920,1922,1923,1923,1924,1925,1927,1930,1932,1935,1939,1940,1942,1947,1949,1950,1950,1950,1951,1951,1951,1954,1955,1957,1959,1959,1960,1960,1960,1961,1962,1962,1963,1963,1963,1963,1964,1964,1964,1965,1966,1966,1966,1966,1966,1966,1966,1966,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
1,1,1,1,2,3,3,4,4,5,7,8,9,9,9,9,9,9,9,9,9,9,9,9,11,13,14,14,15,15,15,15,15,15,15,16,19,21,22,23,23,23,26,27,28,29,33,36,36,40,45,46,50,56,58,62,67,69,70,76,81,87,93,97,99,103,104,111,118,124,131,137,138,144,150,158,160,163,168,171,181,187,193,198,204,208,219,224,235,245,257,268,278,289,301,311,320,328,342,357,376,391,403,421,432,444,454,467,476,488,511,533,552,568,585,613,631,655,670,699,722,740,761,779,801,819,848,870,899,928,961,985,1005,1029,1056,1082,1107,1135,1153,1177,1208,1238,1270,1302,1324,1349,1385,1416,1451,1478,1510,1542,1575,1621,1653,1690,1722,1753,1801,1838,1882,1921,1970,2015,2062,2115,2164,2217,2269,2320,2363,2399,2467,2523,2595,2641,2694,2747,2797,2860,2919,2969,3026,3083,3154,3237,3296,3368,3443,3506,3571,3632,3696,3753,3820,3897,3975,4051,4124,4211,4293,4397,4499,4581,4691,4778,4864,4968,5077,5174,5287,5397,5508,5630,5768,5909,6048,6179,6312,6455,6576,6712,6868,7005,7149,7286,7423,7568,7708,7868,8003,8131,8290,8419,8558,8702,8837,8988,9173,9295,9430,9562,9694,9838,9977,10122,10281,10405,10574,10722,10873,11026,11182,11345,11523,11680,11846,12026,12222,12414,12628,12823,13058,13275,13482,13722,13950,14184,14408,14631,14897,15167,15414,15661,15922,16191,16490,16776,17082,17390,17690,18028,18342,18651,18992,19354,19693,20056,20421,20835,21188,21587,21947,22340,22773,23215,23671,24143,24611,25079,25589,26142,26724,27319,27907,28538,29168,29766,30373,31049,31673,32299,32986,33613,34313,34987,35674,36402,37165,37900,38650,39404,40160,40932,41802,42647,43530,44441,45389,46305,47244,48211,49238,50343,51394,52532,53703,54770,55948,57097,58343,59551,60805,62064,63348,64637,65997,67386,68844,70341,71920,73542,75181,76809,78626,80381,82086,83917,85818,87762,89798,91806,93874,96036,98136,100249,102430,104700,106952,109213,111522,113929,116315,118718,121098,123628,126145,128562,131066,133699,136343,139040,141809,144613,147436,150329,153190,156135,159121,162127,165165,168309,171430,174564,177806,181069,184432,187779,191174,194554,198124,201669,205270,208829,212549,216133,219928,223648,227410,231296,235296,239359,243511,247667,251943,255996,260256,264661,269139,273557,278320,283067,287882,292683,297576,302438,307672,312832,317948,323293,328618,333992,339543,345192,350952,356792,362730,368797,374906,380946,387286,393603,400062,406791,413421,420263,427265,434280,441438,448735,456101,463597,471312,479161,487225,495241,503399,512048,520738,529562,538486,547581,556742,566252,575642,585209,594908,604839,614778,624862,635118,645537,656225,666888,677883,689088,700365,711711,723214,734986,746772,758675,771046,783433,796289,809072,822073,835395,848748,862288,876099,889916,903791,917813,932011,946490,961027
1,1,1,2,2,3,4,4,5,6,7,7,9,12,12,13,16,20,20,21,21,22,23,25,27,31,33,34,36,37,41,48,50,56,62,66,70,76,83,88,95,99,102,104,109,111,114,120,122,128,134,136,140,145,149,151,157,162,164,166,167,170,175,181,187,193,195,198,198,200,200,201,206,209,217,225,227,232,239,244,255,264,269,279,289,303,312,324,333,353,366,377,385,402,413,427,438,448,462,474,480,489,500,518,536,550,568,594,610,636,656,682,709,733,747,781,819,856,893,932,973,1018,1066,1112,1153,1206,1274,1332,1393,1450,1508,1560,1611,1672,1733,1798,1854,1917,1981,2040,2105,2204,2286,2375,2470,2553,2651,2766,2864,2963,3076,3193,3304,3422,3551,3664,3766,3880,4011,4123,4255,4381,4531,4676,4806,4947,5103,5263,5410,5587,5756,5912,6082,6267,6442,6611,6796,6982,7158,7380,7594,7834,8082,8310,8528,8744,8975,9173,9393,9641,9913,10182,10433,10715,10986,11233,11482,11733,12013,12295,12576,12872,13181,13492,13827,14205,14610,14985,15351,15776,16200,16632,17070,17464,17936,18376,18840,19300,19754,20198,20653,21144,21612,22059,22514,23004,23492,23982,24508,25013,25512,26024,26530,27068,27592,28138,28667,29180,29679,30233,30824,31369,31958,32511,33118,33688,34255,34848,35450,36021,36641,37317,37942,38569,39196,39806,40435,41130,41822,42517,43240,44004,44748,45511,46281,47066,47889,48717,49617,50535,51439,52390,53289,54274,55257,56249,57194,58232,59333,60337,61437,62559,63674,64850,66095,67320,68595,69902,71228,72560,73956,75288,76731,78175,79670,81133,82640,84161,85769,87414,89048,90875,92658,94514,96359,98291,100271,102265,104289,106293,108300,110330,112493,114591,116792,118925,121093,123287,125477,127841,130137,132310,134671,137120,139512,142052,144625,147138,149729,152412,155139,157852,160736,163632,166635,169749,172788,175915,179103,182320,185640,188923,192330,195836,199351,203013,206666,210557,214396,218387,222393,226566,230746,234869,239249,243600,248094,252479,257126,261854,266500,271324,276271,281281,286421,291312,296500,301790,307031,312584,318258,324042,329759,335821,341772,347834,354068,360258,366672,373303,379862,386568,393331,400307,407340,414571,421760,429029,436399,443807,451469,459164,466943,474907,483081,491327,499572,508121,516624,525344,534127,543145,552276,561214,570376,579735,589281,598595,608165,617909,627632,637542,647695,657939,668333,678867,689645,700451,711296,722143,733033,744186,755509,767069,778837,790693,802523,814777,827103,839662,852439,865434,878495,891798,905066,918502,932184,946188,960288,974500,988802,1003509,1018489,1033628,1048999,1064361,1079831,1095295,1111255,1127302,1143708,1160121,1176701,1193559,1210484,1227685,1245062,1262706,1280323,1297948,1316180,1334370,1352651,1370897,1389704,1408205,1426908,1445909,1465241,1484582,1504242,1523878,1543691,1563782,1584220,1604305,1624674,1645208,1666106,1686787,1707886,1729140,1750480,1772195,1793932,1816030,1838245,1860358,1882486,1904776,1927642,1950178,1973032,1995987,2019382,2042911,2066546
1,1,3,4,5,7,8,9,13,13,14,14,16,18,19,22,24,26,27,31,33,37,41,46,51,57,61,65,68,71,76,81,84,91,97,103,113,122,128,135,140,154,164,172,182,194,202,207,218,229,239,259,269,276,300,312,322,335,357,379,397,420,436,454,480,499,519,543,570,597,618,632,655,689,717,743,763,794,822,853,885,924,959,997,1028,1064,1103,1135,1180,1215,1249,1276,1315,1344,1381,1401,1440,1480,1517,1553,1598,1638,1674,1702,1742,1785,1829,1884,1932,1967,2001,2030,2063,2101,2140,2178,2221,2258,2304,2340,2381,2436,2484,2527,2576,2625,2696,2753,2813,2874,2925,2986,3049,3103,3163,3226,3291,3369,3446,3507,3579,3644,3704,3754,3808,3863,3926,3979,4043,4105,4182,4245,4325,4384,4465,4550,4653,4723,4813,4904,4997,5081,5179,5284,5405,5531,5655,5763,5901,6021,6154,6273,6451,6574,6688,6847,6999,7152,7291,7431,7563,7717,7895,8039,8210,8368,8542,8678,8848,9005,9186,9355,9534,9702,9874,10054,10246,10441,10636,10831,11040,11218,11412,11602,11796,12022,12218,12391,12575,12794,12993,13217,13450,13699,13930,14176,14408,14663,14920,15205,15493,15774,16061,16364,16646,16957,17253,17598,17973,18341,18719,19098,19525,19911,20344,20767,21165,21570,21984,22414,22857,23322,23779,24269,24751,25209,25681,26186,26598,27126,27605,28097,28561,29115,29671,30233,30855,31514,32147,32797,33493,34140,34887,35687,36514,37357,38213,39120,40046,40953,41899,42840,43784,44814,45922,47052,48207,49345,50504,51714,52886,54115,55414,56680,57990,59329,60726,62167,63541,64926,66382,67725,69123,70621,72063,73521,75013,76559,78086,79619,81232,82829,84533,86221,87982,89752,91620,93488,95434,97416,99406,101466,103571,105734,107867,109974,112265,114573,116824,119097,121415,123682,126056,128459,130882,133376,135848,138297,140752,143224,145800,148375,151080,153839,156603,159508,162408,165284,168260,171361,174456,177695,181027,184374,187797,191378,195019,198733,202593,206413,210453,214558,218830,223305,227715,232177,236772,241455,246232,251067,256072,261112,266261,271526,276678,282106,287682,293402,299062,304910,310814,316929,323046,329446,335827,342159,348688,355304,361921,368638,375527,382406,389454,396527,403769,411026,418478,426155,433830,441811,449836,458039,466281,474888,483601,492598,501635,511041,520482,530046,539907,549917,559725,570038,580406,591133,601703,612627,623543,634571,645766,657129,668688,680453,692144,704019,716051,727967,740214,752763,765233,778148,791158,804378,817809,831311,845321,859384,873474,887763,902139,916763,931258,946433,961795,976812,992247,1007775,1023387,1039174,1055137,1071610,1087853,1104067,1120627,1137306,1154505,1171558,1188834,1206419,1223926,1241290,1258669,1276604,1294428,1312206,1330380,1348588,1366893,1385457,1403938,1422540,1441474,1460304,1479185,1498645,1517867,1537496,1557165,1576799,1596866,1617173,1637640,1658184,1678842,1699681,1720604,1741805,1763070,1784699,1806347,1827898,1849823,1871411,1893368,1915405,1937590,1959828,1982294,2004692,2027318,2049942,2072434,2095324,2118095,2141114,2163889
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1,1,1,1,1,1,1,2,3,5,5,6,7,7,7,7,7,7,7,7,8,9,12,15,17,19,23,26,29,32,36,41,44,45,50,53,54,58,65,68,74,77,80,85,90,94,97,103,115,117,119,120,128,134,138,147,153,160,164,166,176,180,189,193,200,203,205,217,223,226,230,235,246,249,259,264,265,267,272,277,288,291,296,302,310,315,318,321,325,331,336,340,344,350,355,363,374,384,395,400,410,412,421,434,439,445,455,467,479,487,500,507,533,553,573,594,623,645,680,718,751,789,817,853,900,950,997,1038,1078,1123,1161,1211,1272,1318,1385,1443,1502,1579,1638,1707,1780,1858,1933,1993,2054,2125,2204,2281,2358,2433,2520,2617,2692,2772,2861,2943,3023,3096,3182,3261,3350,3440,3527,3622,3707,3794,3890,3967,4042,4115,4209,4287,4366,4428,4495,4564,4627,4693,4767,4841,4926,5012,5095,5171,5255,5328,5397,5500,5599,5694,5794,5900,5998,6116,6228,6364,6505,6636,6765,6907,7041,7189,7334,7464,7608,7753,7909,8048,8192,8367,8539,8701,8869,9040,9194,9377,9537,9707,9883,10083,10263,10451,10646,10843,11031,11263,11467,11675,11905,12138,12393,12662,12935,13221,13508,13799,14144,14486,14825,15200,15596,15965,16304,16726,17118,17499,17895,18304,18746,19252,19742,20233,20729,21189,21706,22219,22762,23311,23846,24416,24943,25454,25969,26517,27077,27588,28131,28663,29213,29754,30267,30871,31480,32046,32627,33258,33900,34522,35179,35855,36550,37252,37974,38693,39406,40147,40971,41704,42555,43410,44238,45111,45941,46812,47768,48652,49631,50562,51547,52541,53551,54494,55514,56587,57620,58735,59823,60979,62056,63168,64397,65598,66772,68100,69403,70699,72082,73482,74883,76284,77738,79256,80732,82322,83912,85546,87226,88863,90674,92406,94211,96102,98012,99911,101850,103765,105731,107712,109772,111866,113913,116020,118060,120137,122263,124520,126812,129177,131588,134019,136499,139031,141487,144018,146624,149292,151872,154535,157284,160156,163054,166063,169045,172034,175199,178315,181393,184607,187994,191492,194986,198710,202380,206260,209964,213841,217734,221619,225749,229769,233855,238005,242131,246399,250738,255053,259539,264076,268763,273562,278474,283415,288526,293681,299082,304638,310112,315767,321626,327504,333588,339685,345883,352232,358729,365239,371904,378659,385600,392549,399440,406582,413676,420779,428152,435594,443069,450717,458453,466324,474236,482254,490503,498588,507035,515479,524013,532578,541295,550212,559462,568688,578058,587309,596782,606323,615952,625784,635751,645954,656139,666462,676973,687709,698508,709522,720604,731578,742918,754275,765878,777662,789742,801843,814178,826523,839047,851784,864507,877352,890375,903587,916962,930389,944216,958089,971964,986125,1000053,1014488,1028902,1043590,1058496,1073386,1088443,1103801,1119300,1134910,1150720,1166587,1182822,1199009,1215636,1232204,1248988,1265690,1282733,1299897,1317472,1335012,1352764,1370583,1388625,1406698,1425070,1443648,1462283
1,1,1,1,1,2,2,4,6,6,8,10,15,18,20,23,25,29,29,31,33,39,45,47,48,50,53,53,55,59,62,67,69,71,75,77,81,84,85,92,96,99,103,109,114,118,121,127,133,142,145,146,148,151,157,159,159,161,165,171,173,180,182,187,189,193,197,202,205,209,212,217,217,223,226,228,228,230,232,236,237,237,241,243,246,251,254,260,264,269,273,275,277,285,292,296,298,306,311,321,323,329,334,340,347,353,359,365,373,387,395,402,414,423,438,461,478,494,515,529,544,555,570,590,605,619,648,665,681,701,717,737,753,771,795,815,833,850,874,886,905,930,949,971,989,1008,1038,1052,1070,1083,1107,1128,1148,1170,1184,1204,1229,1245,1267,1290,1312,1324,1341,1365,1393,1421,1447,1481,1516,1549,1578,1607,1638,1665,1681,1708,1741,1768,1806,1835,1873,1906,1946,1987,2017,2062,2091,2123,2157,2194,2237,2273,2314,2357,2405,2445,2473,2515,2560,2606,2662,2703,2747,2798,2846,2890,2947,3014,3085,3139,3197,3278,3342,3437,3538,3633,3739,3835,3953,4078,4217,4354,4480,4608,4748,4885,5006,5129,5270,5416,5559,5693,5843,6007,6169,6326,6519,6679,6884,7098,7322,7574,7879,8189,8469,8823,9154,9503,9857,10227,10555,10911,11286,11646,11988,12321,12627,12954,13258,13575,13911,14241,14579,14920,15254,15604,15939,16256,16619,16961,17280,17643,18003,18353,18711,19139,19519,19913,20314,20717,21085,21476,21854,22234,22632,23029,23414,23825,24203,24642,25043,25448,25851,26261,26705,27143,27573,28057,28511,28991,29487,29940,30408,30942,31445,31967,32482,33019,33462,33905,34416,34927,35396,35885,36394,36908,37412,37975,38532,39035,39583,40189,40786,41375,41983,42652,43288,43955,44624,45324,46041,46745,47487,48242,49034,49913,50760,51580,52459,53329,54171,55072,55922,56855,57768,58643,59568,60554,61477,62339,63332,64280,65224,66215,67204,68229,69243,70231,71313,72356,73456,74577,75721,76915,78145,79387,80657,82032,83461,84875,86280,87707,89137,90577,92003,93484,94937,96512,98030,99599,101258,102868,104452,106058,107639,109266,110927,112582,114189,115928,117702,119495,121317,123200,125109,127006,128936,130990,133057,135171,137402,139570,141883,144137,146448,148861,151294,153791,156306,158923,161614,164360,167159,169986,172896,175796,178877,182040,185259,188589,191971,195481,198944,202476,206164,209855,213710,217533,221545,225565,229702,233799,237950,242197,246450,250750,255152,259691,264269,268923,273688,278506,283342,288393,293552,298845,304276,309836,315380,320984,326564,332368,338209,344059,350050,356176,362311,368479,374775,381286,387736,394379,401117,408097,415199,422127,429312,436817,444287,452172,459955,467861,475789,483894,492237,500542,509029,517446,526070,534760,543622,552375,561460,570418,579452,588667,597941,607116,616545,626151,636170,646022,655895,665866,676066,686243,696631
1,1,1,2,4,4,5,6,7,9,12,13,15,18,22,24,26,29,32,34,38,40,41,43,43,52,54,56,62,64,67,71,76,80,83,88,96,105,113,120,127,133,137,142,148,152,156,161,171,177,183,192,196,203,205,214,222,230,240,248,257,272,281,291,308,327,343,351,362,379,395,410,422,444,454,470,486,500,524,538,556,573,588,608,625,643,669,695,720,745,765,792,813,834,857,885,909,928,942,971,1000,1022,1039,1061,1079,1099,1118,1137,1164,1183,1213,1229,1251,1267,1290,1315,1331,1354,1376,1407,1447,1476,1504,1528,1549,1574,1598,1624,1660,1686,1713,1738,1768,1802,1839,1880,1922,1944,1981,2024,2074,2111,2142,2177,2213,2257,2304,2348,2376,2423,2462,2505,2558,2604,2648,2693,2746,2793,2847,2904,2955,3016,3079,3161,3229,3290,3357,3430,3499,3572,3653,3738,3808,3881,3963,4036,4118,4185,4262,4324,4385,4457,4539,4600,4684,4754,4819,4884,4945,5037,5103,5183,5255,5329,5423,5506,5584,5681,5762,5832,5926,6011,6123,6232,6320,6440,6566,6671,6779,6905,7027,7168,7323,7510,7661,7819,8024,8213,8378,8539,8695,8893,9081,9251,9408,9573,9746,9914,10069,10223,10411,10589,10748,10913,11071,11251,11419,11588,11770,11951,12133,12298,12452,12648,12831,13013,13200,13373,13566,13768,13944,14111,14306,14493,14688,14867,15068,15245,15438,15655,15863,16099,16310,16517,16751,16984,17216,17467,17702,17946,18193,18446,18676,18931,19180,19434,19709,19958,20223,20502,20793,21103,21457,21808,22192,22558,22945,23327,23714,24138,24563,25031,25488,25949,26427,26880,27333,27790,28232,28726,29184,29647,30138,30673,31220,31801,32388,32995,33624,34261,34883,35559,36214,36881,37549,38233,38942,39664,40386,41196,41935,42692,43458,44230,45004,45789,46596,47405,48279,49174,50050,50944,51913,52798,53780,54734,55691,56649,57655,58660,59718,60762,61759,62810,63844,64957,66056,67158,68288,69417,70597,71793,73081,74285,75539,76843,78128,79389,80709,82042,83403,84780,86157,87558,89037,90570,92093,93554,95078,96641,98289,99916,101509,103194,104953,106757,108470,110327,112122,114011,115822,117645,119563,121437,123363,125431,127451,129486,131609,133723,135825,137982,140193,142475,144740,147093,149483,151912,154334,156757,159296,161885,164539,167202,169928,172757,175617,178646,181628,184539,187572,190647,193926,197265,200640,204062,207675,211421,215096,218781,222558,226342,230256,234411,238532,242658,246915,251208,255493,259899,264477,269009,273561,278206,282919,287705,292624,297612,302666,307911,313149,318603,324186,330078,335895,341837,347695,353880,360223,366514,372971,379622,386323,393290,400233,407318,414391,421744,429199,436710,444354,452007,459650,467560,475424,483622,491842,500086,508664,517139,525934,534717,543568,552570,561765,571073,580533,589977,599483,609119,618948,628938,638912,649352,659686,669964,680245,690792,701514,712349,723305,734290,745487,757082,768437,779968,791600
1,1,1,2,2,3,4,5,6,7,8,9,10,11,13,16,17,18,20,21,27,32,36,37,39,45,50,52,55,61,68,72,78,84,89,99,104,110,118,125,134,137,143,149,157,163,170,179,187,191,199,205,213,217,227,237,246,255,268,272,278,280,289,296,301,309,314,317,321,328,333,336,343,350,357,364,367,373,382,388,396,400,404,409,411,417,426,435,442,446,456,465,476,485,494,502,511,519,527,532,540,549,567,576,581,590,601,611,622,628,643,651,657,673,685,692,702,714,721,732,746,751,756,767,784,793,803,812,831,844,858,871,882,901,920,930,942,954,966,982,992,1001,1016,1024,1038,1048,1063,1071,1085,1097,1118,1131,1141,1168,1187,1209,1227,1245,1264,1283,1298,1313,1329,1348,1361,1377,1386,1404,1426,1448,1468,1495,1511,1518,1527,1535,1555,1570,1582,1594,1608,1623,1638,1655,1667,1680,1692,1707,1725,1739,1748,1758,1767,1772,1792,1808,1816,1828,1839,1846,1853,1864,1869,1882,1892,1899,1909,1919,1927,1934,1941,1954,1961,1965,1971,1977,1986,1987,1995,2001,2002,2007,2014,2020,2024,2026,2032,2036,2037,2040,2045,2046,2047,2047,2049,2050,2053,2054,2058,2059,2061,2063,2064,2065,2068,2071,2071,2075,2076,2077,2077,2077,2077,2080,2080,2083,2083,2084,2085,2085,2085,2085,2085,2085,2086,2089,2089,2089,2089,2089,2090,2090,2090,2090,2090,2090,2090,2090,2090,2091,2092,2092,2092,2092,2092,2092,2092,2092,2092,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
1,1,1,1,1,1,1,4,5,6,8,10,12,13,13,13,15,19,21,26,28,30,31,34,42,44,48,56,57,63,64,69,73,77,80,84,88,93,97,103,110,118,124,131,141,148,151,159,168,173,178,183,184,191,200,209,221,230,237,247,256,269,278,285,290,298,310,318,327,334,341,345,351,356,363,372,382,386,392,397,404,409,423,427,431,436,446,451,457,468,480,490,493,499,506,513,517,521,528,536,542,552,566,574,584,589,598,606,618,626,633,641,645,656,665,675,687,694,708,717,725,734,743,756,769,784,802,813,823,838,852,869,886,899,917,933,949,963,971,990,1008,1025,1042,1060,1073,1091,1109,1125,1142,1152,1175,1183,1197,1209,1226,1235,1243,1253,1264,1272,1289,1301,1314,1323,1329,1343,1356,1365,1379,1389,1397,1406,1419,1427,1436,1441,1447,1454,1462,1472,1474,1479,1486,1492,1495,1500,1503,1510,1516,1522,1531,1540,1549,1558,1565,1574,1580,1588,1592,1602,1605,1609,1619,1626,1632,1641,1648,1653,1661,1666,1675,1679,1681,1683,1690,1695,1699,1708,1716,1721,1724,1726,1736,1740,1746,1751,1754,1757,1765,1767,1771,1774,1778,1781,1784,1787,1790,1794,1799,1804,1808,1813,1819,1822,1828,1829,1831,1835,1840,1847,1852,1856,1859,1864,1868,1877,1879,1883,1885,1886,1888,1890,1891,1892,1896,1897,1899,1903,1905,1907,1915,1921,1927,1929,1935,1941,1949,1953,1956,1961,1969,1977,1984,1994,2006,2023,2027,2041,2050,2065,2075,2086,2097,2107,2124,2137,2149,2158,2168,2180,2188,2204,2216,2227,2236,2253,2270,2277,2289,2307,2320,2332,2343,2357,2372,2384,2404,2417,2423,2440,2451,2464,2474,2485,2495,2506,2522,2539,2544,2553,2575,2589,2599,2615,2628,2647,2660,2675,2685,2708,2721,2730,2748,2774,2793,2809,2834,2856,2883,2901,2927,2945,2962,2981,3005,3020,3033,3067,3087,3115,3143,3165,3183,3201,3229,3246,3267,3288,3312,3341,3368,3391,3424,3462,3493,3529,3561,3603,3632,3668,3707,3738,3782,3824,3866,3901,3933,3980,4020,4066,4112,4155,4199,4244,4281,4318,4360,4407,4446,4487,4524,4564,4612,4649,4686,4734,4779,4819,4867,4920,4958,4997,5038,5083,5132,5182,5240,5290,5335,5376,5423,5457,5497,5536,5587,5621,5673,5711,5748,5799,5836,5889,5942,6013,6073,6123,6189,6241,6310,6410,6501,6612,6741,6889,7051,7220,7409,7585,7770,7974,8174,8405,8619,8830,9069,9286,9503,9724,9958,10192,10382,10631,10869,11145,11419,11720,12026,12279,12541,12822,13113,13418,13701,13984,14298,14623,14933,15253,15550,15852,16146,16440,16728,17011,17315,17586,17858,18120,18407,18703,18983,19307,19582,19880,20182,20478,20773
1,1,1,1,5,6,7,7,7,9,13,19,27,30,33,35,39,44,53,61,65,68,72,80,90,101,112,126,133,139,152,158,168,181,194,208,228,248,274,295,313,341,369,393,422,450,485,510,537,572,603,640,673,709,750,788,822,855,884,914,941,972,998,1036,1067,1094,1124,1157,1192,1214,1253,1294,1332,1357,1390,1421,1453,1487,1521,1561,1596,1622,1661,1695,1730,1774,1799,1835,1873,1913,1946,1966,2000,2046,2081,2110,2149,2187,2216,2249,2308,2353,2408,2446,2492,2538,2588,2633,2679,2734,2769,2820,2865,2908,2960,3010,3072,3142,3212,3259,3318,3373,3431,3492,3558,3630,3698,3764,3820,3863,3915,3976,4029,4095,4149,4209,4269,4331,4408,4468,4527,4576,4637,4696,4748,4815,4868,4921,4979,5051,5107,5164,5212,5255,5307,5373,5427,5475,5528,5584,5647,5701,5763,5819,5878,5935,5991,6049,6114,6175,6232,6288,6352,6421,6496,6568,6645,6716,6813,6894,6976,7080,7179,7299,7397,7511,7637,7797,7916,8032,8160,8325,8442,8598,8725,8869,9006,9143,9255,9410,9536,9682,9816,9961,10087,10231,10370,10515,10668,10837,10980,11128,11292,11462,11630,11804,11991,12156,12355,12564,12762,12958,13180,13409,13646,13863,14089,14319,14573,14829,15064,15337,15603,15862,16184,16470,16769,17074,17393,17715,18044,18351,18720,19052,19397,19745,20111,20529,20925,21335,21771,22192,22583,23036,23479,23933,24430,24885,25360,25871,26420,26906,27441,27974,28545,29086,29696,30303,30887,31445,32097,32765,33449,34165,34895,35584,36274,37053,37788,38541,39301,40090,40842,41633,42481,43356,44231,45129,46045,46916,47812,48677,49622,50513,51468,52322,53296,54285,55325,56358,57410,58415,59462,60592,61767,62913,64123,65276,66526,67744,69060,70406,71737,73171,74646,76150,77691,79313,80929,82589,84296,86045,87861,89613,91474,93292,95202,97102,99035,101138,103175,105267,107439,109713,111927,114110,116443,118820,121246,123666,126223,128715,131243,133938,136693,139400,142173,144872,147694,150643,153581,156472,159407,162465,165579,168760,172072,175322,178750,182345,185977,189572,193280,197031,200943,204742,208716,212841,217091,221329,225755,230083,234734,239338,244209,249120,254144,259177,264364,269549,275081,280576,286247,291998,297973,303842,309720,315933,321965,328294,334659,341034,347628,354315,361084,368078,375139,382219,389645,396996,404747,412402,420333,428144,436020,444068,452184,460530,469055,477791,486365,495354,504195,513201,522304,531554,540948,550388,560135,569825,579867,590051,600336,610740,621328,631982,642916,653884,665128,676400,687787,699454,711113,722964,734873,747000,759419,771715,784198,796557,809321,822163,835022,848082,861330,874801,888266,901810,915649,929455,943592,957882,972307,986981,1001568,1016347,1031074,1046196,1061411,1076662,1092351,1108334,1124412,1140315,1156611,1172790,1189127,1205562,1222201,1238850,1255675,1272812,1290199,1307382,1324786,1342227,1359722,1377320,1395274,1413322,1431762,1450002,1468343,1486901,1505592,1524678,1543972,1563168,1582539,1602210,1622163,1642087,1661931,1681914,1701871,1722036,1742448
1,1,3,4,4,4,5,7,9,10,14,15,16,19,22,24,26,30,35,39,44,46,55,62,73,75,80,86,93,95,104,110,114,118,126,137,144,150,162,175,183,188,201,209,213,228,238,251,264,272,288,304,311,325,342,348,358,381,399,415,435,454,470,492,506,516,534,546,560,572,591,607,626,643,660,671,687,701,714,727,736,749,763,771,781,795,807,816,832,842,848,858,870,879,891,901,918,936,953,967,985,1000,1012,1036,1050,1061,1079,1097,1107,1125,1139,1154,1171,1190,1204,1219,1233,1252,1265,1293,1311,1330,1340,1364,1381,1402,1424,1444,1472,1499,1526,1551,1585,1613,1626,1652,1663,1687,1710,1737,1764,1792,1818,1846,1874,1901,1930,1947,1969,1989,2009,2034,2059,2082,2102,2133,2151,2177,2198,2225,2259,2279,2310,2334,2367,2405,2444,2475,2507,2536,2564,2601,2646,2688,2734,2777,2816,2862,2910,2948,2989,3050,3096,3149,3213,3254,3308,3345,3389,3447,3484,3543,3589,3650,3698,3750,3807,3870,3927,3974,4025,4076,4122,4167,4219,4281,4334,4383,4452,4518,4576,4637,4690,4752,4806,4857,4912,4964,5036,5104,5173,5227,5283,5360,5419,5482,5553,5639,5730,5837,5929,6023,6137,6250,6374,6492,6603,6729,6877,7018,7181,7338,7516,7711,7876,8049,8225,8386,8554,8752,8941,9106,9281,9454,9602,9776,9944,10117,10270,10425,10593,10772,10964,11181,11383,11596,11790,12015,12276,12538,12766,13037,13298,13574,13844,14152,14494,14793,15121,15414,15735,16068,16439,16789,17148,17477,17865,18224,18601,19003,19374,19730,20084,20458,20841,21203,21590,21983,22357,22735,23142,23521,23931,24351,24792,25275,25734,26225,26715,27217,27724,28262,28808,29373,29993,30573,31244,31933,32636,33337,34058,34781,35530,36307,37179,37989,38952,39912,40884,41847,42888,43890,44912,45996,47093,48282,49494,50687,51901,53198,54526,55946,57339,58733,60159,61620,63094,64546,66072,67627,69212,70850,72458,74137,75835,77509,79240,81091,82882,84759,86516,88433,90275,92135,94063,96001,98114,100262,102459,104647,106944,109262,111620,113996,116503,119039,121598,124236,126820,129679,132510,135457,138473,141495,144616,147826,150903,154022,157201,160422,163705,167055,170428,173984,177578,181226,184938,188783,192591,196461,200524,204564,208630,212812,217073,221314,225670,230144,234520,239227,243864,248511,253258,258271,263296,268404,273543,278737,283994,289382,294938,300654,306400,312233,318247,324320,330480,336738,343136,349751,356529,363365,370273,377501,384630,392002,399550,407329,415157,423184,431360,439630,448161,457086,466146,475338,484723,494201,503792,513567,523618,533618,544040,554428,564741,575202,585802,596431,607365,618372,629619,641122,652642,664524,676368,688329,700532,713247,725956,738735,751564,764854,778083,791735,805491,819457,833616,847890,862379,877095,891877,906723,922006,937061,952219,967432,983085,998407,1013829,1029544,1045414,1061435,1077795,1094192,1110588,1126721,1143474
1,1,1,1,1,2,2,3,3,4,4,5,5,6,6,7,9,10,11,13,14,17,17,17,17,18,21,22,23,27,27,29,32,39,44,49,53,55,57,62,67,76,84,88,93,102,105,114,123,132,139,143,148,154,158,164,168,172,176,181,188,191,207,214,223,227,234,239,243,253,261,272,285,296,308,322,329,338,352,372,388,402,416,440,456,475,500,522,542,567,598,639,666,705,744,784,817,867,916,970,1026,1058,1101,1156,1209,1264,1319,1367,1419,1472,1535,1594,1649,1717,1774,1819,1872,1930,2004,2069,2126,2179,2232,2283,2345,2391,2436,2489,2539,2581,2623,2674,2727,2776,2818,2875,2937,2988,3030,3075,3128,3172,3216,3274,3324,3381,3433,3499,3557,3609,3682,3749,3817,3889,3965,4049,4127,4191,4263,4344,4442,4549,4665,4792,4943,5069,5197,5341,5482,5644,5796,5943,6085,6240,6405,6577,6765,6943,7132,7330,7540,7748,7986,8213,8467,8715,8957,9231,9501,9746,9989,10223,10455,10666,10945,11175,11423,11634,11871,12092,12313,12531,12743,12935,13140,13346,13555,13787,14011,14212,14419,14628,14877,15093,15335,15539,15770,16040,16315,16616,16909,17217,17498,17811,18141,18479,18811,19179,19517,19857,20202,20545,20928,21312,21710,22104,22533,22938,23381,23816,24226,24660,25166,25657,26142,26660,27187,27714,28267,28793,29320,29868,30390,30980,31539,32136,32763,33387,34003,34660,35316,36030,36710,37437,38198,38955,39730,40520,41326,42179,43001,43886,44783,45661,46583,47494,48481,49446,50450,51479,52632,53735,54829,55964,57104,58259,59396,60560,61798,63021,64213,65387,66658,67922,69244,70514,71760,73081,74398,75752,77128,78607,80116,81573,83122,84629,86245,87921,89647,91405,93155,94916,96709,98522,100391,102267,104208,106097,108202,110250,112312,114408,116517,118714,120857,123087,125298,127545,129780,132060,134443,136768,139043,141354,143790,146208,148675,151104,153511,155995,158601,161218,163822,166426,169137,171749,174575,177421,180280,183117,186069,189119,192154,195336,198569,201845,205107,208531,211950,215471,219057,222487,226031,229661,233467,237151,240987,244875,248947,253034,257115,261387,265682,269862,274260,278736,283406,287999,292748,297594,302445,307461,312556,317768,323177,328653,334229,339723,345460,351308,357395,363411,369691,375975,382405,388946,395611,402576,409541,416661,424102,431469,439192,446771,454548,462763,470836,479097,487446,496079,504873,513518,522291,531299,540452,549990,559575,569292,579015,589047,599251,609401,619790,630460,641127,652286,663592,674903,686473,698062,710023,722049,734395,746673,759246,771983,785056,798249,811637,825065,838654,852138,865981,879971,894314,908796,923525,938401,953272,968430,983668,998817,1014305,1029935,1045788,1061731,1077714,1093988,1110110,1126668,1143444,1160006,1176881,1193927,1211039,1228537,1246042,1263899,1281498,1299460,1317741,1336132,1354649,1373537,1392632,1411778,1430974,1450466,1470002,1489856,1509739,1529867,1550230,1570515,1591052,1611783,1632470,1653097,1673920,1694851,1716114,1737335,1758823,1780690,1802779,1824899,1847018
1,1,1,1,1,1,1,1,3,5,5,5,5,5,7,7,10,15,16,16,16,17,20,24,25,29,32,36,40,43,45,50,53,59,63,71,77,85,92,97,103,110,113,120,126,138,148,152,155,159,166,176,185,192,198,207,216,221,224,229,240,246,251,261,275,283,295,302,309,327,343,354,362,369,378,385,396,402,407,422,433,450,468,475,491,502,520,533,554,574,601,626,651,668,681,700,719,734,752,773,792,824,848,879,902,926,957,977,1008,1034,1058,1093,1120,1140,1154,1178,1203,1236,1276,1300,1327,1353,1380,1396,1426,1456,1484,1515,1540,1559,1587,1619,1637,1661,1686,1717,1738,1755,1777,1796,1819,1856,1889,1915,1944,1972,1997,2030,2061,2082,2118,2138,2163,2196,2221,2255,2289,2312,2332,2359,2380,2406,2437,2461,2488,2516,2548,2572,2599,2638,2664,2691,2728,2762,2792,2827,2855,2894,2939,2982,3032,3088,3134,3190,3229,3278,3324,3377,3418,3453,3495,3560,3603,3637,3682,3730,3794,3853,3920,3973,4032,4091,4152,4216,4290,4361,4440,4525,4606,4690,4758,4834,4918,5016,5107,5186,5268,5340,5439,5533,5608,5703,5795,5896,6005,6087,6184,6290,6401,6510,6636,6761,6888,7041,7188,7358,7515,7694,7882,8113,8355,8601,8859,9087,9350,9628,9900,10187,10485,10778,11101,11381,11660,11958,12288,12648,13010,13400,13748,14129,14548,14920,15277,15680,16073,16473,16875,17295,17709,18153,18584,19001,19501,20032,20576,21068,21529,22051,22540,23053,23581,24128,24695,25267,25836,26417,26999,27567,28200,28776,29358,29998,30627,31227,31881,32534,33170,33841,34511,35169,35834,36554,37316,38023,38766,39600,40422,41237,42097,42943,43864,44828,45761,46746,47765,48756,49757,50762,51768,52913,53984,55085,56212,57388,58560,59759,61004,62262,63535,64827,66140,67457,68817,70204,71618,73040,74430,75865,77286,78751,80339,82037,83650,85302,87000,88747,90414,92156,93951,95780,97588,99407,101357,103300,105282,107319,109563,111724,113869,116057,118297,120615,123004,125365,127835,130298,132743,135176,137802,140386,142959,145549,148373,151091,153903,156775,159579,162504,165513,168481,171624,174814,177954,181057,184361,187670,190994,194364,197859,201312,205023,208649,212226,215924,219604,223254,226966,230798,234806,238882,242914,247113,251355,255581,259886,264365,268846,273468,278141,282827,287734,292694,297582,302621,307811,313094,318250,323464,328815,334239,339726,345258,350842,356477,362142,367870,373754,379720,385635,391745,397883,404175,410671,417142,423727,430548,437439,444181,451297,458516,465894,473170,480538,488161,495966,503884,511903,520208,528491,536992,545557,554179,562999,572083,581283,590514,599973,609597,619458,629407,639774,650385,661006,671831,682795,693745,705042,716496,728141,739995,751811,763934,776335,788667,801139,813851,826708,839549,852833,866133,879501,893098,906675,920505,934231,948370,962722,977332,992150,1007134,1022300,1037780,1053059,1068473,1083990,1099850,1115635
1,1,2,2,2,2,3,4,5,6,7,8,8,9,10,11,13,15,16,17,18,18,20,21,21,22,22,23,24,24,24,24,24,24,26,27,27,27,28,29,29,30,32,32,34,35,37,41,44,44,46,48,50,54,59,61,63,67,68,73,76,79,80,84,88,92,93,97,98,104,109,110,115,119,119,122,128,130,136,140,147,151,152,156,160,165,168,174,178,179,180,183,185,199,209,222,247,260,272,297,321,354,406,459,520,595,644,726,786,868,945,1047,1129,1221,1325,1439,1541,1658,1771,1902,2073,2239,2406,2566,2752,2961,3193,3398,3607,3833,4065,4342,4594,4827,5096,5366,5651,5944,6240,6543,6932,7344,7796,8189,8589,9062,9554,10014,10515,11006,11502,12081,12713,13296,13855,14446,14979,15528,16037,16594,17153,17710,18259,18753,19225,19756,20255,20765,21307,21850,22366,22905,23438,24016,24610,25238,25901,26536,27209,27921,28676,29446,30308,31141,32013,32934,33893,34817,35795,36777,37833,38874,39970,41064,42168,43280,44409,45624,46833,48024,49332,50655,52106,53473,54864,56314,57737,59204,60695,62226,63876,65455,67018,68675,70304,71952,73564,75258,77051,78765,80621,82421,84210,86032,87981,89908,91913,93962,96099,98205,100370,102599,104914,107231,109607,112082,114499,116916,119383,121957,124506,127083,129684,132330,134906,137561,140250,142816,145579,148268,151064,153904,156793,159628,162584,165550,168461,171394,174552,177600,180757,183935,187295,190698,194094,197738,201392,205066,208765,212722,216710,220893,225189,229643,234020,238605,243116,247829,252633,257461,262567,267509,272724,277991,283229,288620,294132,299811,305445,311235,317118,323259,329421,335751,342248,348915,355490,362263,369046,375970,382808,389973,397079,404171,411439,418765,426123,433621,441162,448768,456496,464245,472204,480158,488111,496484,504949,513432,521964,530598,539270,548248,557252,566182,575341,584773,594429,604136,613881,623958,634028,644180,654560,665412,676260,687298,698308,709570,721010,732550,744294,755987,767885,779778,791922,804014,816325,828793,841428,854242,867131,880212,893354,906718,920159,934018,948185,962389,976724,991014,1005400,1020046,1034458,1049170,1063883,1079045,1093957,1108921,1124169,1139737,1155328,1171054,1186827,1202642,1218165,1233978,1249755,1265703,1281964,1298207,1314619,1331392,1348181,1364776,1381683,1398684,1415800,1432977,1450330,1468066,1485728,1503509,1521625,1539477,1557737,1576193,1594570,1613049,1631667,1650826,1669920,1688927,1708109,1727653,1747233,1766906,1786762,1806812,1827018,1847138,1867296,1887857,1908721,1929493,1950579,1971887,1993222,2014593,2036099,2057787,2079839,2101963,2124033,2146257,2168618,2191310,2214258,2237133,2260109,2283217,2306661,2330010,2353572,2377193,2400941,2424513,2448722,2472567,2496488,2520413,2544775,2569376,2594152,2618867,2643612,2668891,2694017,2719368,2744986,2770486,2796037,2822010,2847854,2873767,2899742,2925496,2951512,2977422,3003642,3029958,3056428,3082765,3109109,3135290,3161421,3188000,3214396,3241014,3267641,3294245,3320789,3347627,3374364,3401240,3427991,3454924,3482220,3509203,3536526,3563795,3591076,3618373,3645599,3673019,3700430,3727882,3755459,3782686,3809944,3837449,3864927,3892290,3919745,3947182,3974830,4002232,4030074
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1,1,1,1,1,1,2,3,3,3,4,4,4,6,7,7,9,9,11,12,14,14,14,15,18,18,18,18,18,19,19,21,23,23,23,23,23,23,23,23,24,26,30,30,31,31,32,34,34,35,38,42,45,48,51,53,57,64,68,70,79,82,84,92,94,100,103,107,113,119,121,126,133,138,143,150,158,160,163,166,171,174,177,179,185,191,198,204,216,223,226,233,237,244,250,251,258,263,269,276,276,281,290,294,303,306,309,312,319,323,324,329,337,339,344,350,351,353,357,362,369,373,374,377,380,382,385,387,392,397,400,405,412,417,422,429,436,442,452,461,466,472,479,483,492,497,512,518,529,535,543,559,568,574,582,588,592,603,609,615,619,627,633,638,643,652,664,666,672,676,681,694,701,706,710,717,723,729,733,742,747,752,756,763,770,780,791,802,809,815,824,836,848,864,876,882,900,924,943,958,977,987,1007,1024,1045,1071,1098,1120,1145,1162,1192,1219,1244,1268,1293,1324,1353,1380,1409,1439,1478,1510,1541,1585,1617,1651,1693,1733,1785,1836,1884,1933,1992,2048,2111,2163,2233,2312,2373,2446,2528,2621,2715,2817,2923,3061,3178,3291,3411,3563,3697,3828,3945,4086,4215,4351,4491,4635,4797,4951,5117,5268,5423,5611,5760,5903,6036,6203,6339,6513,6669,6827,6994,7143,7278,7455,7619,7795,8003,8172,8345,8524,8727,8919,9108,9293,9461,9645,9850,10048,10248,10456,10658,10878,11073,11294,11519,11711,11930,12138,12367,12596,12851,13073,13321,13530,13763,14025,14241,14480,14711,14946,15226,15460,15736,16008,16288,16575,16836,17095,17349,17684,17993,18346,18701,19033,19399,19748,20155,20564,20928,21363,21763,22190,22607,23094,23549,24050,24507,25008,25505,26031,26558,27108,27637,28167,28712,29280,29826,30419,31023,31601,32233,32839,33532,34221,34928,35577,36300,37024,37713,38475,39286,40108,40912,41735,42523,43364,44197,45085,46049,47010,47991,48952,49928,50923,51927,52972,54040,55112,56218,57294,58416,59625,60860,62147,63439,64738,66073,67476,68930,70452,71966,73502,75031,76607,78295,79937,81553,83300,84955,86636,88370,90035,91939,93774,95661,97567,99609,101618,103660,105727,107932,110135,112359,114655,117057,119402,121718,124117,126556,129086,131482,133924,136445,138982,141525,144101,146694,149310,151968,154607,157208,159936,162717,165492,168326,171220,174116,177077,180108,183151,186345,189605,192828,196201,199568,202901,206409,209919,213503,217111,220831,224590,228358,232265,236134,239919,243826,247829,251856,255844,260042,264175,268375,272744,277090,281492,285820,290260,294889,299460,304030,308784,313627,318467,323387,328393,333486,338697,343909,349180,354534,360007,365502,371059,376956,382717,388635,394751,400888,407107,413475,419778,426160,432698,439330
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1,1,3,5,6,7,9,10,12,16,17,20,21,25,29,34,37,40,50,52,57,64,70,81,83,88,96,99,106,117,135,148,157,171,182,204,222,247,264,286,304,324,343,362,381,401,421,438,463,489,501,524,538,557,570,586,606,621,631,640,650,661,676,687,696,715,722,733,744,759,769,777,788,794,802,815,828,834,837,851,862,867,876,889,893,901,911,921,930,937,944,952,957,961,965,970,976,984,991,997,1005,1011,1014,1019,1023,1025,1026,1032,1036,1039,1045,1048,1051,1052,1055,1059,1063,1067,1070,1073,1079,1083,1084,1085,1088,1090,1093,1094,1100,1106,1106,1106,1107,1109,1110,1112,1114,1117,1121,1124,1128,1132,1137,1141,1142,1148,1154,1163,1171,1176,1184,1197,1208,1215,1220,1227,1235,1245,1262,1270,1286,1299,1313,1327,1334,1348,1364,1387,1402,1423,1439,1454,1473,1490,1506,1520,1537,1553,1571,1597,1615,1636,1658,1675,1689,1703,1727,1743,1755,1776,1790,1812,1828,1856,1873,1891,1913,1931,1956,1977,2001,2026,2048,2070,2099,2116,2139,2165,2201,2229,2267,2315,2338,2359,2381,2409,2440,2477,2515,2553,2594,2633,2668,2714,2760,2799,2846,2889,2932,2980,3030,3072,3125,3174,3204,3258,3306,3361,3399,3448,3497,3540,3585,3628,3678,3718,3751,3785,3819,3865,3900,3951,3977,4022,4064,4118,4166,4212,4270,4319,4376,4432,4474,4506,4558,4608,4651,4693,4741,4785,4835,4893,4949,4994,5054,5101,5155,5202,5252,5296,5356,5409,5473,5535,5579,5633,5718,5785,5853,5913,5974,6047,6129,6206,6283,6362,6433,6506,6567,6636,6724,6806,6879,6949,7042,7122,7206,7281,7351,7447,7543,7635,7727,7817,7916,8008,8105,8232,8334,8442,8553,8677,8802,8939,9071,9196,9330,9449,9590,9722,9874,10012,10146,10291,10441,10579,10763,10925,11082,11236,11377,11544,11725,11887,12044,12218,12382,12560,12714,12857,13029,13194,13347,13518,13681,13850,14005,14142,14309,14465,14620,14768,14911,15057,15200,15352,15523,15664,15821,15975,16128,16282,16466,16640,16819,16990,17149,17333,17486,17657,17842,18031,18219,18421,18631,18843,19074,19290,19498,19699,19955,20160,20351,20544,20770,20988,21190,21410,21647,21882,22116,22335,22557,22809,23028,23310,23599,23908,24224,24568,24899,25239,25612,25953,26320,26696,27100,27512,27969,28442,28910,29413,29901,30410,30981,31548,32135,32775,33373,33977,34614,35266,35891,36507,37096,37733,38326,38968,39605,40281,40939,41649,42392,43141,43916,44713,45569,46459,47327,48223,49174,50139,51200,52121,53047,54020,55021,56010,56999,58009,59036,60054,61104,62092,63068,64048,65045,66143,67106,68184,69256,70311,71389,72453,73574,74684,75740,76870,77995,79110,80278,81395,82542,83759,84960,86146,87424,88726,89963,91252,92567,93906,95322,96693,98106,99498,100900
1,1,1,1,1,1,1,1,3,3,4,4,5,5,6,7,7,7,10,12,12,12,13,14,15,15,15,17,21,22,22,22,24,25,29,32,33,38,42,44,49,50,56,61,63,69,74,83,89,98,101,110,116,121,129,134,143,150,155,162,170,174,183,199,206,215,223,234,242,248,257,274,282,298,307,316,333,342,353,360,372,379,390,404,418,432,447,457,467,479,488,500,514,530,545,554,577,599,620,647,667,698,723,750,773,799,827,858,897,923,949,972,1006,1036,1063,1097,1130,1160,1187,1221,1260,1288,1325,1355,1379,1410,1450,1486,1527,1560,1586,1622,1663,1703,1738,1769,1809,1859,1908,1954,1991,2021,2047,2081,2131,2171,2206,2248,2285,2331,2395,2432,2473,2510,2563,2625,2666,2718,2759,2807,2855,2910,2961,3012,3068,3130,3199,3264,3330,3402,3470,3548,3610,3678,3761,3831,3930,4017,4097,4211,4313,4411,4513,4617,4721,4834,4941,5063,5192,5343,5476,5630,5766,5916,6056,6192,6305,6456,6639,6808,6988,7182,7359,7556,7750,7928,8155,8382,8611,8806,9036,9284,9488,9740,9983,10253,10506,10759,11052,11356,11660,11965,12271,12584,12896,13288,13677,14091,14533,14920,15344,15771,16215,16652,17114,17585,18082,18527,19020,19530,20063,20548,21064,21566,22102,22621,23164,23736,24328,24870,25424,25984,26561,27163,27773,28380,29048,29682,30312,30960,31594,32252,32941,33638,34361,35105,35832,36628,37410,38256,39188,40031,40921,41779,42657,43516,44334,45230,46141,47066,47982,48919,49875,50854,51858,52906,53995,55110,56219,57460,58661,59882,61158,62438,63706,64995,66366,67757,69132,70558,72009,73439,74888,76361,77841,79367,80912,82513,84112,85816,87483,89143,90930,92666,94450,96236,98071,99904,101927,103953,105914,107946,109990,112043,114183,116308,118453,120657,122878,125205,127463,129876,132208,134509,136992,139359,141883,144411,146895,149326,151886,154509,157157,159927,162565,165352,168239,171085,173979,176956,179978,183040,186185,189336,192559,195764,199132,202646,206079,209630,213199,216729,220328,223931,227665,231398,235125,239010,242841,246742,250886,254928,258940,263147,267356,271652,275854,280193,284634,289095,293606,298139,302621,307185,311887,316648,321623,326485,331486,336518,341572,346678,351766,357061,362491,367852,373295,378837,384322,389962,395753,401552,407527,413566,419899,426183,432409,438878,445485,452112,458866,465817,472777,479853,487147,494401,501944,509538,517191,524910,532731,540617,548626,556657,564889,573022,581186,589552,598236,606805,615561,624281,633144,642020,650954,660033,669218,678625,688269,698059,707880,717715,727738,737906,748214,758816,769411,780117,790972,802123,813338,824584,835984,847478,859226,870980,883073,895373,907618,920150,932934,945935,959073,972611,986084,999950,1013590,1027634,1041672,1056068,1070385,1085067,1099888,1114853,1130029,1145210,1160989,1176612,1192377,1208163,1224384,1240443,1256885,1273531,1290193,1307024,1323916,1340893,1357908,1375121,1392498,1410134,1427741,1445541,1463567,1481939,1499949
1,1,1,3,3,6,6,6,7,7,10,10,10,10,11,12,14,18,18,20,27,30,34,35,36,40,44,47,54,58,62,64,68,69,77,80,83,88,91,93,96,102,112,117,120,127,134,136,145,149,154,163,167,171,180,189,197,205,219,229,235,250,259,273,288,298,304,323,340,357,372,391,416,426,442,453,471,486,497,511,535,552,572,594,616,632,662,692,710,725,741,763,785,817,833,856,882,905,945,973,1000,1028,1053,1079,1105,1133,1161,1184,1214,1250,1281,1313,1337,1366,1390,1436,1471,1505,1540,1587,1644,1681,1713,1773,1832,1883,1932,1984,2042,2093,2149,2217,2278,2333,2415,2473,2548,2601,2665,2729,2809,2890,2956,3051,3148,3253,3353,3460,3565,3669,3772,3876,3979,4099,4210,4317,4422,4540,4678,4808,4919,5029,5158,5299,5440,5572,5714,5852,5978,6129,6273,6424,6584,6737,6904,7068,7233,7405,7554,7758,7937,8107,8315,8520,8769,9016,9266,9514,9770,10045,10349,10610,10934,11204,11518,11845,12216,12554,12938,13346,13755,14124,14535,14971,15388,15818,16252,16703,17197,17683,18135,18581,19129,19663,20212,20806,21385,21992,22628,23224,23870,24469,25103,25723,26349,26966,27591,28214,28819,29458,30103,30749,31355,32002,32681,33334,34014,34712,35414,36168,36931,37667,38427,39233,40045,40886,41745,42638,43542,44445,45417,46412,47421,48405,49422,50420,51479,52518,53604,54646,55725,56799,57854,58890,59928,61042,62140,63298,64470,65661,66881,68099,69320,70630,71980,73414,74912,76462,77952,79506,81136,82868,84527,86318,88090,89924,91763,93635,95482,97387,99309,101214,103169,105236,107248,109277,111245,113373,115525,117576,119680,121703,123820,126021,128270,130467,132667,134970,137345,139671,142196,144609,147093,149598,152212,154811,157466,160293,163177,166045,168930,171849,174912,178031,181140,184322,187612,190888,194308,197793,201222,204667,208181,211656,215354,219013,222772,226720,230757,234663,238805,242889,246993,251210,255399,259581,263908,268358,272786,277249,281868,286427,291080,295803,300648,305415,310409,315247,320276,325460,330719,335940,341243,346612,352044,357590,363103,368623,374364,380088,385939,392061,398072,404259,410639,417085,423656,430219,436852,443529,450421,457419,464563,471828,479217,486679,494138,501711,509433,517096,524964,532977,541055,549320,557721,566346,575075,584079,593051,602214,611456,620947,630581,640188,649876,659599,669535,679884,690439,701182,711882,722753,733612,744608,755661,767054,778400,789947,801514,813331,825210,837269,849555,861799,874192,886966,899640,912568,925344,938645,952072,965712,979252,992776,1006598,1020569,1034532,1048581,1062735,1077115,1091618,1105838,1120319,1134630,1149096,1163546,1178183,1193039,1208142,1223460,1238830,1254203,1269839,1285734,1301561,1317360,1333303,1349431,1365311,1381469,1397797,1414308,1431036,1447953,1465024,1482001,1499255,1516532,1533919,1551708,1569358,1587211,1605469,1623733,1642043,1660441,1679144,1698086,1717169,1736448,1756204,1775745,1795425,1815563,1835834,1856208,1876904,1897831,1918587,1939704,1960674,1982124,2003515,2025023,2046700,2068568,2090405
1,1,1,1,1,1,1,2,2,3,3,4,4,4,5,5,5,5,5,5,5,7,7,7,7,7,8,8,9,10,10,11,13,13,13,13,13,14,14,14,15,16,16,18,22,24,26,29,32,34,37,38,40,44,46,49,50,52,53,55,56,59,59,60,63,66,67,70,70,71,71,73,81,93,107,122,136,148,201,270,326,410,487,578,670,779,885,1000,1099,1209,1307,1420,1529,1624,1712,1852,1995,2139,2302,2454,2631,2791,2928,3111,3273,3427,3571,3718,3851,3988,4146,4262,4379,4491,4600,4705,4799,4906,5013,5109,5189,5301,5399,5503,5579,5680,5776,5845,5930,6008,6087,6160,6253,6327,6405,6472,6547,6606,6677,6740,6830,6894,6955,7043,7118,7192,7252,7342,7425,7511,7600,7675,7765,7857,7936,8042,8132,8253,8343,8422,8520,8618,8709,8857,8992,9118,9249,9393,9522,9659,9797,9936,10075,10207,10356,10482,10623,10748,10888,11019,11140,11241,11370,11496,11629,11736,11863,11970,12073,12194,12314,12451,12569,12704,12798,12911,13044,13183,13310,13448,13609,13770,13941,14082,14283,14469,14662,14897,15112,15347,15569,15802,16021,16270,16500,16722,16984,17238,17490,17743,17983,18236,18476,18719,18970,19230,19498,19751,20040,20295,20553,20795,21089,21376,21683,22018,22319,22636,22947,23302,23587,23924,24292,24624,25025,25441,25850,26220,26642,27069,27512,28018,28491,28961,29453,29954,30447,30982,31503,32036,32599,33169,33743,34285,34909,35460,36107,36721,37329,37955,38595,39259,39960,40702,41420,42053,42749,43496,44267,45065,45922,46740,47544,48412,49285,50101,50987,51949,52865,53835,54752,55700,56679,57729,58807,59830,60872,61926,62988,64105,65264,66372,67511,68641,69843,71050,72355,73710,75049,76439,77866,79367,80808,82408,83971,85650,87305,88952,90681,92576,94423,96322,98337,100348,102360,104531,106757,109018,111368,113740,116080,118575,121050,123513,125860,128323,130840,133383,135872,138382,140949,143535,146098,148702,151349,153851,156517,159199,162104,164909,167764,170635,173550,176518,179413,182543,185558,188589,191790,195139,198530,201916,205430,209034,212735,216516,220314,224129,228068,232003,236189,240321,244626,248979,253370,257836,262160,266833,271398,276105,280923,285747,290634,295547,300454,305373,310338,315403,320637,325814,331161,336404,341693,347170,352691,358352,363904,369749,375537,381579,387599,393662,399954,406265,412602,418951,425315,431978,438727,445625,452599,459571,466667,473931,481208,488573,495962,503286,510797,518343,526128,533859,541647,549638,557666,565806,574104,582462,590977,599503,608055,616844,625701,634593,643737,652901,662207,671755,681232,691108,701028,711269,721511,731987,742609,753220,764173,775119,786534,798120,809845,821685,833648,845669,857844,870311,882841,895630,908471,921481,934785,948017,961240,974973,988697,1002743,1017060,1031528,1045918,1060562,1075315,1090347,1105470,1120766,1136188,1151800,1167743,1183633,1199937,1216472,1232940,1249812,1266955,1284089,1301326,1318723,1336091,1353724,1371523,1389299,1407372,1425575,1443856,1461944,1480147,1498656,1517296
1,1,1,1,1,1,1,3,3,4,5,6,6,8,8,10,10,10,10,11,12,15,16,17,20,25,29,32,33,35,41,45,51,58,66,76,84,90,97,106,111,116,122,128,135,146,159,170,184,188,202,213,225,238,253,267,280,286,303,321,331,348,366,380,394,412,425,439,453,468,479,496,507,520,529,546,563,574,582,594,604,615,623,640,655,667,678,685,690,699,713,719,726,741,754,768,778,795,806,826,836,857,879,897,917,940,960,985,1005,1029,1060,1088,1113,1142,1167,1196,1224,1253,1282,1313,1344,1381,1414,1443,1476,1519,1553,1579,1617,1641,1678,1713,1751,1800,1844,1891,1931,1975,2018,2055,2112,2168,2225,2276,2343,2406,2452,2498,2559,2628,2692,2757,2815,2887,2945,3006,3070,3133,3205,3261,3322,3379,3443,3504,3570,3627,3692,3772,3825,3894,3957,4026,4103,4180,4237,4293,4368,4461,4543,4608,4691,4775,4875,4962,5055,5123,5205,5291,5404,5491,5575,5668,5765,5864,5950,6049,6140,6252,6359,6455,6559,6664,6773,6873,6972,7080,7164,7263,7343,7451,7538,7650,7770,7889,8029,8152,8253,8400,8529,8671,8823,8985,9143,9306,9461,9626,9820,10042,10270,10494,10703,10917,11146,11389,11610,11855,12104,12360,12582,12790,13047,13296,13545,13782,14058,14330,14629,14879,15143,15437,15726,16020,16275,16575,16876,17202,17542,17888,18238,18598,18947,19295,19680,20076,20474,20852,21307,21749,22190,22633,23103,23614,24128,24646,25181,25733,26341,26948,27604,28266,28902,29580,30288,31037,31758,32560,33358,34160,34981,35835,36745,37658,38618,39547,40470,41431,42456,43500,44591,45739,46849,48038,49281,50583,51923,53339,54698,56076,57517,58915,60451,61974,63532,65128,66878,68583,70409,72226,74123,76047,77997,80034,82128,84217,86266,88381,90480,92628,94676,96798,98954,101147,103339,105514,107706,110023,112324,114739,117085,119557,122023,124547,127186,129844,132589,135445,138296,141287,144164,147062,150185,153279,156492,159746,162983,166078,169150,172404,175729,179010,182499,185913,189386,192852,196363,199909,203492,207062,210737,214561,218394,222132,226005,230005,234222,238411,242565,246952,251229,255745,260313,264995,269694,274374,279129,284038,289213,294351,299502,304674,309991,315416,320921,326638,332325,338252,344120,350167,356316,362524,368855,375144,381563,388268,394980,401855,408807,415925,423080,430539,438106,445854,453614,461619,469808,477897,486423,495007,503827,512575,521414,530399,539636,548837,558502,567941,577588,587396,597238,607065,617069,627098,637160,647355,657754,668152,678780,689443,700300,711292,722322,733604,745111,756610,768453,780434,792468,804715,817294,829941,842659,855580,868763,881764,895007,908606,922339,935814,949721,963792,978014,992359,1006938,1021564,1036425,1051445,1066892,1082315,1098016,1113984,1130164,1146392,1162830,1179188,1195960,1212583,1229434,1246330,1263492,1280630,1297956,1315539,1333285,1350914,1369056,1386851,1405210,1423458,1441915,1460376,1479156,1498369,1517679,1537380,1556701,1576249,1595998
1,1,1,1,1,3,4,4,4,4,4,4,5,6,6,8,8,8,8,8,8,8,8,9,13,14,15,16,18,22,23,24,25,26,29,33,40,43,47,49,56,61,62,66,69,75,79,89,92,96,101,104,110,113,116,119,124,130,134,137,141,141,142,147,147,152,153,155,162,169,171,177,181,187,189,194,197,200,202,207,210,213,223,225,228,230,233,237,241,245,247,253,258,261,267,271,280,286,296,299,314,329,340,350,363,381,401,430,468,531,593,657,728,782,839,917,999,1073,1169,1256,1340,1425,1505,1586,1669,1729,1799,1858,1906,1981,2038,2107,2185,2276,2371,2470,2551,2637,2736,2864,2973,3093,3233,3360,3496,3634,3782,3948,4103,4255,4437,4609,4761,4934,5102,5302,5461,5631,5781,5945,6101,6253,6406,6532,6659,6802,6934,7068,7184,7307,7433,7562,7681,7794,7910,8033,8150,8276,8395,8500,8626,8725,8830,8958,9057,9169,9275,9347,9469,9560,9660,9766,9889,9990,10090,10184,10271,10358,10472,10575,10661,10766,10846,10925,11043,11117,11215,11290,11377,11463,11552,11654,11754,11837,11934,12019,12133,12244,12330,12437,12552,12653,12770,12901,13012,13136,13272,13402,13523,13655,13815,13938,14084,14218,14352,14500,14654,14788,14961,15119,15268,15427,15618,15810,15993,16172,16355,16503,16698,16881,17058,17248,17418,17601,17785,17997,18196,18395,18640,18867,19108,19374,19662,19976,20249,20552,20895,21268,21591,21906,22207,22505,22835,23166,23493,23829,24173,24517,24830,25218,25598,25994,26384,26771,27214,27726,28254,28803,29342,29872,30408,31006,31660,32280,32902,33527,34164,34801,35404,36049,36673,37322,37981,38669,39351,40019,40698,41350,42037,42740,43523,44312,45029,45832,46608,47400,48248,49068,49919,50786,51660,52495,53289,54097,55041,55890,56803,57661,58502,59442,60347,61190,62124,63088,64055,65027,66055,67025,68065,69113,70211,71297,72382,73588,74776,75963,77153,78287,79463,80681,81968,83179,84424,85640,86932,88307,89637,90962,92323,93791,95180,96663,98269,99855,101487,103137,104875,106645,108504,110323,112176,114013,115923,117792,119705,121647,123658,125670,127596,129555,131642,133660,135818,137917,140053,142220,144422,146600,148881,151153,153424,155731,158034,160430,162642,164944,167151,169347,171758,174142,176482,178909,181396,183865,186344,188911,191424,194073,196707,199394,202195,205077,208040,211050,214124,217236,220503,223894,227405,231020,234626,238285,242051,245855,249807,253987,258244,262587,266927,271410,276064,280711,285554,290533,295478,300569,305699,310849,316148,321553,326982,332407,338118,343798,349565,355375,361365,367390,373504,379773,386287,392750,399483,406071,412869,419766,426822,434126,441398,448700,456381,464011,471751,479819,487813,496038,504302,512748,521286,530169,538987,547997,557084,566195,575559,585130,594765,604496,614529,624685,635210,645698,656459,667806,679051,690544,702108,713795,725504,737454,749603,761920,774516,787176,800168,813210,826241
1,1,1,1,1,1,1,3,3,4,6,8,9,11,11,13,14,16,16,19,24,28,30,31,35,40,44,47,51,52,54,60,64,66,70,79,80,87,92,95,97,100,103,106,111,115,120,121,128,130,133,135,138,145,151,156,163,168,174,184,190,194,200,205,212,217,219,230,246,262,274,296,314,326,338,347,366,384,396,413,430,456,466,476,488,495,510,522,533,544,559,571,583,596,609,622,633,642,661,673,687,699,712,719,743,756,766,779,794,810,827,844,860,876,892,907,933,951,973,998,1027,1053,1080,1117,1155,1189,1221,1253,1284,1329,1363,1407,1445,1499,1539,1590,1635,1679,1725,1758,1804,1840,1883,1921,1953,2004,2051,2096,2144,2186,2228,2263,2297,2353,2409,2470,2511,2575,2631,2690,2751,2809,2860,2922,2972,3037,3100,3165,3241,3334,3407,3481,3586,3672,3751,3854,3961,4092,4192,4305,4401,4540,4655,4781,4914,5048,5203,5339,5511,5695,5847,6027,6232,6434,6636,6860,7110,7331,7590,7802,8049,8282,8538,8804,9076,9339,9614,9857,10129,10385,10638,10896,11180,11435,11677,11950,12209,12426,12681,12943,13176,13443,13712,13970,14265,14549,14813,15103,15385,15679,15989,16276,16559,16844,17153,17514,17895,18257,18601,18964,19325,19699,20064,20464,20875,21280,21704,22112,22515,22949,23411,23871,24315,24809,25295,25811,26333,26828,27369,27887,28436,28959,29559,30126,30716,31325,31964,32580,33224,33863,34538,35259,35991,36743,37452,38225,39021,39807,40556,41384,42220,42966,43783,44604,45471,46373,47254,48149,49037,50059,51060,52085,53054,54068,55052,56118,57168,58320,59516,60699,61876,63036,64234,65457,66684,67952,69248,70524,71824,73139,74471,75832,77254,78637,79994,81410,82826,84284,85726,87202,88785,90397,91987,93712,95423,97134,98915,100752,102619,104590,106608,108616,110670,112867,114988,117185,119390,121667,123942,126311,128709,131131,133605,136182,138769,141409,144062,146728,149445,152202,155079,157982,160933,163898,166881,169880,172949,176082,179301,182540,185830,189352,192767,196366,199972,203646,207370,211134,214904,218712,222616,226681,230746,234838,239035,243283,247612,251982,256509,260981,265700,270495,275418,280268,285259,290323,295542,300783,305999,311417,316936,322321,327821,333526,339184,345067,350994,357114,363100,369199,375307,381521,387906,394334,400862,407416,414155,421001,428058,435338,442673,450061,457580,465209,472950,480848,488810,496791,504813,513144,521573,530161,538789,547409,556260,565365,574547,583891,593187,602608,612200,621954,631509,641455,651206,661047,671025,681194,691420,701855,712262,722751,733321,744107,754879,765821,776915,788088,799700,811567,823228,835055,847000,859204,871630,884258,896979,909827,922928,936067,949268,962535,975902,989724,1003513,1017370,1031563,1046206,1060972,1075852,1090871,1106100,1121490,1137117,1152683,1168496,1184563,1200394,1216274,1232693,1248800,1265258,1281930,1298632,1315309,1332116,1348860,1365506,1382746,1400394,1417877,1435730,1453445,1471879,1490535,1508949,1527679
1,1,1,1,4,5,6,7,8,9,11,15,17,17,19,21,24,28,31,32,36,41,44,46,49,51,55,58,62,69,76,80,82,88,96,101,106,116,121,127,133,139,142,149,157,160,162,168,173,188,198,205,208,212,218,230,238,247,256,261,268,280,302,314,330,346,360,367,387,401,413,426,437,449,464,477,491,503,517,529,558,573,586,601,615,628,648,658,677,700,723,743,757,778,791,803,827,846,863,886,903,924,950,971,1001,1030,1052,1087,1130,1161,1200,1233,1275,1309,1347,1392,1453,1514,1574,1634,1683,1733,1805,1866,1939,2015,2075,2146,2219,2288,2381,2460,2532,2601,2674,2762,2839,2933,3024,3111,3204,3297,3389,3478,3585,3673,3767,3852,3947,4048,4153,4241,4335,4445,4537,4647,4773,4898,5003,5106,5218,5310,5425,5532,5657,5765,5895,6039,6192,6333,6474,6635,6772,6909,7042,7203,7364,7538,7723,7905,8074,8275,8448,8641,8797,8990,9173,9378,9573,9768,9963,10150,10350,10558,10754,10947,11129,11316,11515,11707,11896,12098,12297,12488,12679,12872,13082,13292,13516,13720,13933,14155,14368,14591,14823,15072,15306,15590,15824,16077,16341,16604,16871,17116,17401,17668,17940,18234,18508,18777,19042,19311,19619,19929,20206,20470,20728,21044,21347,21643,21935,22282,22596,22940,23247,23584,23971,24317,24650,25001,25392,25798,26178,26588,27011,27464,27907,28330,28796,29230,29677,30135,30651,31166,31647,32166,32693,33175,33714,34278,34848,35413,35980,36585,37211,37827,38475,39098,39736,40433,41073,41726,42418,43120,43875,44645,45407,46219,47046,47854,48708,49560,50452,51398,52399,53407,54381,55470,56574,57706,58818,59930,61003,62150,63280,64493,65727,67021,68347,69692,71118,72612,74127,75679,77338,79072,80817,82589,84358,86247,88125,90042,92009,93935,95980,97979,99949,102019,104077,106240,108440,110521,112611,114805,116966,119226,121534,123859,126194,128580,130969,133497,136007,138566,141243,143961,146688,149565,152459,155311,158243,161245,164330,167427,170565,173678,176857,180061,183279,186402,189623,192986,196480,199955,203526,207141,210792,214596,218459,222553,226768,230967,235116,239396,243711,248282,253015,257865,262822,267718,272787,277901,283177,288398,293785,299319,304995,310610,316422,322332,328410,334595,340836,347069,353543,360102,366658,373418,380093,386953,393911,401024,408364,415740,423280,430881,438854,446749,454745,462829,470948,479321,487756,496307,504872,513732,522674,531753,540941,550079,559251,568680,578257,587920,598044,608009,618182,628545,639062,649820,660588,671643,682772,694207,705895,717592,729223,741132,752921,765084,777446,789856,802400,815002,827701,840608,853366,866417,879818,893036,906642,920420,934380,948370,962522,977174,991905,1006783,1021831,1036849,1052356,1067873,1083485,1099167,1115064,1131044,1147125,1163370,1179618,1195938,1212607,1229058,1245643,1262713,1279656,1296748,1314082,1331530,1349210,1366735,1384343,1402059,1420026,1438231,1456657,1475101,1493680,1512519,1531486,1550645,1570033,1589566,1609157,1628737,1648451,1668385,1688315
1,1,1,3,3,3,7,9,13,17,19,20,24,26,27,29,32,38,43,45,47,48,54,56,57,60,65,67,68,71,75,75,80,86,87,95,99,101,102,104,105,109,110,115,121,121,132,136,143,148,153,158,161,170,174,182,188,196,202,208,216,224,230,232,234,247,253,260,263,267,276,287,294,304,312,318,322,328,333,343,350,359,366,378,396,401,409,418,424,429,444,458,470,475,481,490,499,509,517,526,536,548,559,576,588,604,617,627,644,651,667,678,694,708,724,741,758,779,796,810,820,837,852,871,891,910,927,941,955,970,987,998,1010,1029,1042,1059,1078,1096,1112,1129,1145,1159,1169,1179,1202,1216,1232,1243,1256,1269,1283,1296,1305,1317,1333,1347,1362,1373,1383,1398,1412,1423,1439,1454,1469,1482,1502,1518,1532,1547,1556,1571,1585,1603,1620,1639,1657,1670,1685,1699,1725,1751,1761,1777,1797,1826,1844,1868,1898,1917,1940,1969,1992,2012,2035,2053,2069,2098,2121,2141,2162,2191,2217,2244,2270,2295,2321,2344,2372,2391,2419,2447,2471,2503,2535,2552,2580,2610,2638,2675,2704,2746,2776,2813,2851,2893,2931,2972,3013,3056,3104,3148,3200,3246,3311,3370,3419,3477,3539,3576,3652,3724,3800,3876,3956,4035,4097,4166,4263,4337,4419,4484,4561,4645,4716,4815,4915,5000,5087,5175,5258,5347,5421,5505,5603,5682,5763,5859,5955,6034,6122,6216,6327,6405,6485,6564,6644,6721,6805,6903,6981,7044,7110,7182,7250,7331,7401,7474,7554,7617,7674,7746,7838,7917,7991,8072,8158,8266,8347,8436,8526,8615,8719,8815,8894,9008,9088,9181,9278,9380,9486,9572,9671,9783,9888,9982,10073,10150,10242,10323,10419,10501,10603,10697,10787,10871,10953,11035,11125,11202,11301,11380,11455,11554,11628,11716,11796,11895,11993,12080,12166,12264,12346,12432,12511,12615,12704,12830,12941,13057,13164,13302,13410,13533,13663,13796,13928,14071,14207,14347,14497,14662,14827,14983,15119,15274,15429,15587,15746,15895,16061,16221,16375,16539,16689,16840,16992,17167,17335,17502,17661,17847,18015,18173,18344,18543,18752,18961,19173,19353,19545,19753,19944,20139,20342,20537,20757,20939,21165,21369,21597,21820,22049,22257,22483,22730,22962,23183,23442,23699,23945,24239,24519,24800,25096,25406,25726,26028,26383,26676,27010,27359,27732,28128,28522,28920,29330,29729,30137,30571,31024,31448,31911,32352,32774,33248,33727,34230,34746,35234,35713,36275,36789,37300,37856,38411,39005,39605,40266,40919,41558,42236,42910,43612,44354,45099,45855,46660,47461,48242,49047,49897,50752,51588,52438,53283,54192,55059,55939,56845,57824,58769,59784,60792,61880,62979,64100,65217,66441,67734,68983,70270,71609,72994,74403,75845,77301,78767,80312,81851,83393,84981,86594,88339,90060,91837,93672
1,1,1,1,4,5,5,5,5,7,12,14,16,18,21,23,23,26,32,37,41,44,46,54,62,65,71,73,80,85,89,90,96,101,105,111,116,119,128,139,147,156,159,166,171,178,186,192,196,207,211,217,228,235,247,259,267,278,286,299,313,325,337,346,362,373,392,403,419,433,446,457,477,486,500,505,517,531,548,565,578,595,604,618,632,648,662,671,684,690,699,719,738,752,766,778,787,798,810,824,841,856,878,896,913,931,950,967,976,1003,1027,1047,1076,1102,1124,1142,1173,1198,1231,1262,1282,1312,1337,1370,1407,1428,1467,1505,1543,1588,1623,1665,1700,1742,1783,1820,1852,1881,1920,1968,2007,2047,2086,2133,2169,2196,2234,2286,2323,2363,2409,2444,2483,2519,2568,2615,2651,2699,2743,2787,2822,2872,2933,2992,3035,3094,3154,3214,3263,3329,3384,3454,3527,3602,3670,3750,3829,3898,3977,4043,4118,4202,4259,4338,4417,4484,4576,4668,4755,4847,4944,5019,5112,5183,5264,5350,5446,5550,5654,5768,5864,5988,6122,6259,6406,6528,6662,6778,6906,7074,7242,7412,7562,7739,7895,8070,8262,8442,8631,8824,9015,9215,9422,9645,9884,10101,10371,10591,10866,11161,11422,11676,11965,12293,12600,12896,13284,13621,13951,14267,14603,14947,15317,15711,16118,16508,16909,17320,17733,18215,18673,19179,19675,20178,20709,21253,21803,22371,22967,23564,24171,24811,25392,26004,26642,27294,27977,28628,29280,29932,30702,31447,32272,33093,34009,34936,35914,36859,37898,38892,39902,40892,41968,43037,44172,45318,46498,47638,48880,50114,51376,52662,53974,55402,56706,58147,59596,61052,62448,63983,65542,67196,68778,70381,72042,73773,75598,77446,79278,81138,83059,85051,86978,88964,91000,93001,95049,97174,99334,101636,103860,106051,108423,110756,113111,115476,117946,120451,122858,125417,128029,130620,133290,136143,138997,141822,144895,147835,150869,154030,157236,160434,163878,167328,170843,174360,177962,181721,185417,189339,193153,197118,201230,205375,209643,213844,218329,222896,227662,232445,237367,242433,247647,252702,257971,263325,268722,273970,279617,285354,291098,297031,302993,309000,315118,321464,327889,334448,341026,347902,354821,361860,368953,376302,383765,391391,399059,406804,414743,422629,430832,439144,447517,456098,464716,473528,482274,491347,500671,509984,519320,528706,538415,548201,558198,568266,578572,588797,599434,610272,621400,632667,643926,655390,667048,678871,690866,702865,714903,727166,739426,751855,764332,776989,789697,802418,815266,828243,841644,854962,868400,882181,896221,910323,924943,939139,953704,968437,983187,998012,1013261,1028419,1043887,1059581,1075349,1091050,1106943,1123092,1139345,1155813,1172466,1189372,1206204,1223065,1240107,1257343,1274797,1292151,1309877,1327441,1345092,1362820,1380700,1398814,1416888,1434875,1453075,1471333,1489534,1507891,1526725,1545549,1564282,1583197,1602098,1621531,1640672,1659983,1679382,1699060,1718752,1738637,1758560,1778691,1798628,1818621,1839029,1859157,1879489,1899909,1920607,1941378,1962451,1983311,2004621,2025875,2047096
1,1,1,1,3,4,4,4,5,5,7,7,8,9,9,9,9,9,9,9,10,10,11,12,12,12,12,14,16,17,19,20,20,21,22,25,28,31,36,43,50,53,62,66,71,75,82,90,102,114,125,137,146,154,165,174,182,190,204,215,225,232,249,263,271,282,289,296,299,307,316,332,346,363,376,389,401,407,417,425,440,455,466,476,493,506,521,535,548,555,563,573,582,592,606,620,636,648,656,671,692,701,716,727,740,764,777,800,819,840,854,879,898,914,937,967,992,1022,1051,1066,1089,1108,1130,1155,1176,1201,1227,1264,1296,1329,1357,1390,1428,1475,1527,1567,1619,1683,1750,1814,1887,1968,2061,2132,2205,2297,2395,2485,2569,2659,2745,2833,2904,2994,3109,3215,3304,3423,3523,3620,3719,3823,3897,3983,4095,4181,4289,4399,4495,4598,4717,4841,4968,5087,5198,5326,5473,5627,5739,5878,6044,6196,6356,6515,6679,6850,7048,7236,7418,7603,7789,8007,8201,8411,8622,8825,9051,9298,9529,9798,9999,10225,10434,10672,10915,11178,11412,11654,11905,12139,12412,12663,12915,13184,13448,13709,14012,14284,14574,14890,15213,15557,15921,16315,16750,17124,17573,18024,18490,19018,19490,20031,20579,21136,21679,22273,22811,23382,23962,24510,25038,25653,26267,26872,27443,28012,28583,29139,29730,30285,30910,31500,32153,32757,33430,34125,34822,35531,36259,37079,37932,38823,39715,40637,41615,42664,43680,44793,45916,47104,48264,49472,50637,51786,53016,54298,55530,56746,58040,59338,60626,61978,63340,64826,66314,67820,69342,70861,72284,73745,75306,76919,78501,80093,81647,83171,84726,86291,87841,89473,91115,92731,94418,96130,97962,99770,101556,103401,105300,107327,109204,111152,113069,114992,116991,119028,121168,123189,125313,127530,129773,131987,134198,136479,138756,141062,143412,145744,148156,150589,153069,155628,158301,160993,163742,166436,169197,172137,174955,177922,181037,184198,187213,190478,193740,197000,200280,203615,206974,210432,213888,217351,220884,224442,228134,231899,235607,239336,243272,247193,251326,255406,259702,264003,268385,272915,277440,282107,286863,291709,296595,301609,306820,312162,317614,323092,328636,334386,339976,345643,351428,357267,363192,369225,375220,381315,387393,393821,400159,406703,413336,420033,426787,433701,440740,447816,454984,462188,469596,477197,484764,492468,500166,507891,515849,523910,532021,540236,548520,556816,565254,573857,582514,591275,600367,609566,618832,628065,637382,647099,656620,666420,676173,686031,695995,706224,716346,726727,737199,747748,758423,769407,780395,791419,802495,813769,825401,837134,848907,860798,873115,885564,898086,910662,923452,936298,949500,962982,976334,990037,1003813,1017930,1031942,1046413,1060783,1075216,1089885,1104669,1119595,1134648,1149785,1164990,1180434,1195918,1211822,1227638,1243794,1259965,1276538,1292956,1309749,1326725,1344030,1361501,1379167,1396951,1415167,1433370,1451684,1470011,1488731,1507215,1525967,1545022,1564093,1583294,1602921,1622660,1642920,1663198,1683436,1703596,1723956,1744764,1765705,1786795,1808103
1,1,2,2,2,3,4,5,6,7,10,12,12,14,14,14,18,19,21,22,25,26,29,29,33,34,34,39,41,44,49,53,55,60,64,72,76,81,88,90,90,92,94,99,103,103,104,108,108,109,111,115,118,121,124,124,125,127,132,137,139,143,144,145,152,158,165,170,174,178,181,184,185,192,200,207,214,220,224,230,243,250,259,270,277,286,292,303,311,319,340,351,359,368,386,394,405,413,428,440,451,465,479,488,496,502,511,522,531,537,545,563,578,589,603,616,628,638,651,661,672,676,699,715,728,745,758,770,788,809,822,838,854,873,889,912,927,937,952,971,988,1004,1021,1043,1062,1080,1092,1104,1125,1144,1165,1189,1204,1222,1238,1259,1279,1300,1332,1353,1377,1399,1417,1435,1459,1485,1517,1536,1562,1590,1616,1650,1683,1730,1763,1799,1831,1863,1901,1938,1980,2017,2073,2118,2156,2198,2226,2276,2328,2374,2427,2483,2538,2601,2658,2719,2781,2834,2872,2931,2997,3066,3123,3189,3243,3302,3382,3447,3525,3596,3676,3743,3824,3914,4018,4104,4218,4334,4414,4526,4643,4756,4866,4986,5119,5261,5385,5496,5644,5780,5928,6057,6210,6344,6510,6650,6822,7003,7215,7408,7630,7845,8030,8220,8428,8635,8853,9068,9320,9536,9769,10025,10255,10505,10772,11029,11289,11574,11890,12193,12486,12812,13126,13492,13839,14180,14536,14908,15268,15624,15979,16369,16767,17124,17518,17851,18231,18618,18948,19317,19690,20034,20436,20825,21252,21722,22224,22745,23257,23766,24346,24929,25524,26160,26798,27501,28219,28933,29689,30368,31073,31817,32551,33371,34132,34945,35740,36516,37339,38156,39017,39872,40689,41515,42342,43135,43980,44833,45671,46498,47398,48292,49232,50154,51135,52043,52998,53932,54891,55931,56970,58031,59087,60170,61280,62402,63537,64715,65905,67168,68499,69839,71267,72711,74172,75741,77306,79039,80699,82444,84181,85926,87648,89431,91326,93315,95315,97356,99452,101503,103599,105725,107873,110072,112403,114811,117176,119666,122225,124796,127391,130018,132832,135635,138394,141257,144292,147470,150596,153724,156889,160177,163382,166743,170110,173528,176924,180486,184054,187572,191196,194829,198673,202385,206212,210182,214281,218365,222374,226634,230828,235130,239603,244107,248634,253298,257813,262525,267171,272057,276828,281772,286763,291871,297047,302397,307845,313197,318730,324175,329793,335555,341542,347463,353450,359632,365990,372437,378968,385498,392183,398984,405851,412871,420125,427335,434531,441901,449408,456975,464514,472263,480214,488210,496306,504486,512943,521357,530142,538965,547826,556597,565696,574831,584088,593524,603148,613023,622981,633185,643512,653687,663980,674550,685330,696243,707375,718773,730198,741789,753560,765614,777523,789813,802081,814636,827261,840316,853477,866658,880157,893752,907562,921601,935549,949836,964092,978595,993414,1008237,1023334,1038504,1053737,1069064,1084370,1099993,1115718
1,1,1,1,1,1,2,4,6,7,7,8,9,9,9,9,9,9,10,10,15,16,18,18,19,22,24,27,27,27,28,29,31,33,34,34,36,38,40,45,47,50,54,56,58,61,67,73,80,83,92,97,102,106,111,119,121,126,134,139,146,152,157,163,168,170,174,177,182,188,192,198,205,212,214,216,224,224,230,238,241,253,257,267,273,283,289,302,313,325,334,339,355,369,381,396,410,423,439,457,473,485,498,512,527,539,554,573,590,607,631,651,673,696,721,750,776,796,822,847,875,908,930,957,978,1007,1022,1049,1075,1102,1135,1171,1209,1234,1260,1294,1339,1369,1416,1460,1496,1544,1579,1622,1662,1696,1737,1805,1876,1937,2008,2095,2184,2280,2364,2472,2562,2648,2758,2868,2979,3089,3205,3319,3422,3537,3656,3752,3880,4009,4109,4220,4326,4478,4601,4709,4823,4981,5117,5269,5430,5581,5730,5916,6073,6240,6404,6588,6750,6930,7105,7289,7460,7643,7803,8005,8169,8358,8556,8750,8923,9115,9323,9523,9712,9907,10116,10313,10499,10713,10924,11164,11372,11603,11831,12054,12305,12540,12762,13025,13275,13545,13795,14060,14369,14659,14950,15248,15574,15879,16207,16541,16850,17203,17552,17900,18228,18584,18955,19316,19684,20066,20492,20909,21319,21718,22129,22568,23022,23508,23989,24457,24902,25438,25903,26395,26928,27418,27928,28473,29016,29580,30118,30689,31244,31779,32358,32916,33467,34076,34616,35156,35678,36238,36772,37368,37929,38549,39162,39732,40311,40869,41454,42043,42697,43312,43983,44619,45219,45854,46498,47145,47795,48531,49222,49890,50595,51301,52043,52759,53469,54202,55009,55776,56550,57280,58094,58893,59668,60508,61334,62190,63040,63942,64861,65717,66647,67546,68598,69571,70516,71463,72509,73509,74521,75546,76607,77668,78749,79826,80955,82103,83298,84567,85783,86941,88158,89377,90643,91937,93354,94814,96301,97815,99400,100958,102543,104197,105857,107577,109274,110909,112728,114527,116358,118255,120256,122263,124267,126294,128347,130562,132771,135021,137426,139816,142271,144777,147329,149950,152593,155245,157923,160766,163534,166366,169272,172192,175177,178254,181296,184437,187492,190620,193817,197150,200525,204005,207444,210912,214656,218441,222134,225916,229661,233567,237527,241640,245717,249883,254094,258417,262755,267249,271801,276401,281090,286051,291082,296115,301217,306369,311802,317255,322714,328225,333942,339641,345375,351160,357013,363041,369223,375495,381909,388303,394819,401474,408248,415185,422160,429406,436567,443751,451131,458588,466226,474001,481759,489601,497603,505663,513838,522011,530323,538825,547568,556245,564980,573895,582959,592201,601681,611087,620621,630291,640061,649956,659963,670552,680831,691272,701895,712673,723495,734433,745467,756729,768112,779652,791367,803010,814961,826929,838904,851154,863569,876003,888687,901472,914239,927410,940458,953817,967477,981098,994856,1009150,1023814,1038175,1052897,1067757,1082862,1097942,1113365,1129175,1144902
1,1,1,4,4,5,8,12,14,16,17,17,18,20,23,25,27,32,34,35,36,42,43,44,45,47,51,52,58,60,65,67,69,73,80,83,85,90,95,99,106,111,122,129,140,146,153,160,169,178,189,200,212,218,220,224,234,241,245,254,261,271,285,288,297,305,313,319,330,338,350,363,377,388,395,401,409,424,431,440,453,466,488,497,503,516,537,555,577,597,636,665,700,727,756,776,810,835,861,893,924,954,995,1020,1057,1094,1128,1171,1216,1263,1293,1338,1373,1417,1463,1524,1562,1619,1661,1708,1757,1800,1864,1924,1974,2033,2094,2146,2201,2268,2343,2412,2479,2543,2617,2684,2757,2834,2906,2981,3090,3171,3255,3336,3419,3508,3585,3653,3742,3828,3933,4035,4128,4221,4326,4434,4565,4681,4788,4906,5026,5142,5283,5441,5576,5736,5893,6086,6251,6438,6629,6804,7012,7220,7430,7654,7876,8070,8276,8488,8744,8984,9234,9484,9728,10034,10325,10601,10909,11207,11509,11819,12182,12523,12838,13178,13548,13914,14307,14727,15158,15587,16037,16503,16938,17383,17845,18305,18768,19242,19680,20201,20721,21255,21810,22369,23015,23627,24299,24956,25662,26328,27022,27769,28616,29390,30183,30990,31813,32656,33516,34329,35152,36022,36876,37770,38638,39548,40438,41355,42287,43221,44189,45157,46164,47191,48219,49361,50501,51641,52793,53983,55266,56549,57831,59165,60510,61981,63382,64852,66412,67993,69614,71175,72827,74492,76173,77909,79622,81366,83162,85016,86869,88740,90573,92574,94533,96491,98425,100353,102352,104411,106559,108799,110877,113124,115392,117686,120075,122391,124712,127180,129706,132339,135038,137805,140660,143451,146412,149331,152418,155545,158809,162161,165514,169006,172503,176052,179718,183533,187265,191108,195032,199022,203093,207259,211446,215724,220153,224566,229142,233817,238561,243315,248157,252990,257931,262895,267993,273134,278371,283722,289140,294516,300134,305876,311579,317526,323599,329611,335699,342038,348443,354978,361685,368432,375258,382299,389523,396653,404192,411665,419399,427439,435250,443135,451394,459610,468020,476508,485109,493814,502702,511764,520946,530102,539366,548865,558520,568512,578782,588923,599260,609818,620522,631125,642025,653083,664081,675314,686790,698417,709945,721781,733792,745932,758190,770656,783210,795894,808683,821599,834910,848173,861681,875229,889013,902843,916807,931191,945457,960007,974662,989338,1004350,1019472,1034590,1050002,1065643,1081255,1097018,1112862,1128848,1144948,1161134,1177370,1193773,1210209,1226729,1243492,1260399,1277427,1294799,1312186,1329567,1347077,1364758,1382585,1400545,1418490,1436838,1455164,1473898,1492543,1511119,1530448,1549553,1568939,1588220,1607927,1627567,1647593,1667592,1687758,1708203,1728633,1749125,1769741,1790514,1811632,1832638,1853761,1875158,1896626,1918219,1940008,1962024,1983932,2006142,2028523,2050936,2073693,2096513,2119586,2142841,2166104,2189430,2212937,2236725,2260685,2284750,2308666,2332623,2356674,2380851,2405299,2429676,2454158,2478817,2503391,2527999,2552773,2577769,2602792,2627822,2653132,2678135,2703312,2728618,2753738,2779395,2804938,2830739,2856439,2882526,2908353,2934535
1,1,1,1,1,1,1,2,2,3,3,3,3,3,5,5,7,9,11,11,11,11,11,11,13,15,18,20,21,25,29,30,35,37,38,42,44,47,52,54,60,64,68,73,77,85,89,92,97,103,106,112,114,121,126,135,149,160,168,174,180,190,200,207,214,217,223,229,238,241,247,261,266,274,276,282,288,293,299,305,308,315,322,331,336,345,351,355,362,367,368,369,374,378,381,383,388,394,396,400,403,406,414,422,425,430,436,442,450,457,462,471,481,494,511,520,529,544,556,571,585,595,610,632,649,668,690,708,729,753,780,805,826,858,879,905,924,945,962,991,1020,1052,1074,1097,1120,1144,1180,1200,1238,1261,1296,1334,1386,1421,1471,1511,1549,1590,1624,1665,1717,1766,1827,1882,1955,2024,2093,2169,2236,2324,2429,2538,2652,2752,2855,2976,3123,3251,3423,3593,3754,3908,4074,4264,4447,4672,4891,5103,5306,5550,5812,6134,6419,6715,7037,7376,7700,8079,8441,8781,9099,9461,9774,10100,10441,10780,11115,11438,11762,12106,12446,12828,13197,13612,13971,14402,14808,15217,15629,16028,16490,16956,17410,17891,18354,18830,19324,19823,20310,20825,21352,21859,22392,22876,23394,23946,24503,25076,25659,26267,26880,27471,28121,28767,29405,30131,30797,31530,32256,33015,33738,34498,35217,36021,36829,37629,38461,39335,40185,41071,42014,42972,43930,44872,45862,46932,47953,49017,50097,51287,52414,53559,54614,55850,57056,58371,59653,60979,62332,63797,65279,66778,68340,69892,71379,73000,74735,76528,78372,80108,81933,83800,85634,87581,89503,91429,93472,95624,97819,99998,102176,104483,106834,109128,111510,113875,116265,118685,121115,123673,126091,128573,131064,133611,136229,138763,141545,144188,146955,149809,152776,155754,158750,161762,164821,168016,171347,174572,177930,181183,184682,188093,191543,195124,198876,202679,206520,210389,214393,218514,222695,227075,231587,236117,240731,245444,250213,255083,260047,265237,270459,275794,281161,286774,292473,298249,304167,310188,316181,322269,328385,334569,340768,347106,353545,360087,366636,373559,380498,387412,394416,401497,408579,415880,423317,430705,438247,445878,453721,461849,469922,478169,486500,494967,503494,512044,520827,529691,538654,547618,556650,565649,575067,584666,594402,604075,613889,623924,634072,644367,654819,665445,676033,686944,697675,708760,720088,731390,742930,754374,766020,777908,789898,802151,814298,826643,839326,852156,865187,878028,891464,905056,918587,932579,946511,960639,974625,988843,1003133,1017859,1032548,1047236,1062296,1077303,1092483,1108007,1123279,1138795,1154546,1170510,1186359,1202530,1218869,1235435,1252195,1268855,1285759,1302639,1319505,1336495,1353932,1371471,1389013,1406659,1424613,1442560,1460976,1478992,1497286,1515846,1534542,1553466,1572511,1591807,1611268,1630702,1650330,1670246,1690166,1710107,1730296,1750770,1771150,1791635,1812055,1832522,1853282,1874046,1894906,1915811,1936964,1957971,1979162,2000462,2021842,2043533,2065330,2087299,2109337,2131430,2153877,2176422,2199269,2222147,2245234,2268523,2291371
1,1,1,1,1,2,4,4,4,6,6,6,8,10,10,11,12,13,16,17,17,17,18,20,21,24,25,27,29,30,33,36,38,42,50,55,63,69,75,79,79,83,87,92,95,104,111,120,126,132,145,154,168,178,185,196,206,211,221,231,239,248,255,262,276,283,291,298,309,313,325,336,343,349,352,363,367,382,395,406,418,430,437,449,464,481,499,509,523,539,561,571,585,600,619,638,655,666,680,696,714,732,743,757,770,782,788,800,816,832,847,857,871,881,891,906,926,936,946,956,965,974,987,998,1017,1024,1033,1042,1057,1065,1082,1095,1104,1119,1135,1150,1160,1171,1180,1191,1206,1222,1235,1254,1273,1287,1303,1317,1326,1343,1359,1376,1390,1405,1418,1431,1450,1472,1495,1511,1532,1557,1577,1605,1625,1645,1676,1708,1730,1755,1783,1809,1831,1851,1872,1891,1921,1951,1972,2003,2032,2051,2069,2089,2108,2124,2144,2171,2188,2206,2220,2236,2256,2266,2281,2307,2323,2340,2364,2372,2381,2390,2402,2413,2419,2436,2448,2468,2478,2496,2507,2521,2542,2557,2575,2597,2614,2631,2646,2667,2683,2700,2715,2738,2764,2789,2814,2839,2861,2886,2910,2943,2965,2985,3020,3045,3071,3092,3120,3152,3186,3208,3239,3274,3302,3329,3365,3391,3425,3459,3492,3517,3542,3585,3614,3649,3698,3743,3778,3814,3841,3885,3941,3994,4047,4095,4159,4206,4260,4309,4357,4410,4479,4558,4618,4697,4770,4845,4921,5003,5080,5158,5249,5338,5432,5525,5640,5732,5834,5917,6013,6139,6232,6326,6425,6543,6659,6800,6926,7040,7160,7311,7435,7586,7736,7906,8068,8236,8396,8550,8738,8904,9078,9262,9465,9682,9862,10066,10267,10499,10720,10953,11171,11399,11617,11825,12067,12306,12541,12796,13066,13355,13639,13933,14212,14521,14809,15127,15468,15785,16115,16442,16810,17158,17496,17902,18285,18634,18986,19364,19746,20136,20531,20964,21384,21800,22238,22706,23169,23624,24133,24651,25140,25624,26102,26600,27124,27670,28168,28734,29275,29865,30537,31160,31776,32452,33079,33733,34460,35134,35869,36652,37413,38212,38994,39803,40578,41421,42353,43260,44242,45257,46322,47332,48529,49701,50907,52147,53405,54735,56118,57595,59078,60563,62099,63602,65277,66985,68679,70374,72137,74008,76027,77972,79993,82133,84324,86539,88800,91270,93698,96207,98748,101253,103888,106567,109394,112196,115098,118084,121071,124142,127370,130629,133879,137213,140621,143979,147574,151108,154688,158371,162050,165783,169501,173306,177058,180933,184823,188739,192755,196962,201196,205425,209762,214143,218544,223053,227604,232315,237186,242095,247097,252058,257272,262367,267741,273215,278925,284610,290420,296449,302551,308760,315053,321457,328090,334800,341821,348853,356102,363480,370965,378434,386014,393757,401424,409460,417492,425827,434152,442600,451229,459828,468579,477470,486328
1,1,1,1,1,1,1,1,1,3,3,4,5,5,5,6,8,9,9,10,10,12,12,14,15,17,23,26,27,28,29,31,35,35,37,38,38,39,44,45,50,55,57,59,63,64,67,70,71,74,79,83,86,89,95,96,102,108,110,112,112,113,118,122,127,129,131,132,134,137,137,137,144,147,152,154,158,160,167,168,172,174,178,184,188,190,192,194,194,201,206,209,216,217,222,225,230,233,238,244,253,259,266,272,281,288,291,299,305,314,322,328,334,341,346,348,359,368,371,381,392,394,398,404,408,414,425,435,444,450,456,461,470,482,489,498,510,514,524,534,547,559,564,571,588,597,615,626,638,656,672,687,700,712,723,738,749,769,784,794,807,820,847,859,881,903,919,934,956,972,983,1001,1009,1024,1040,1059,1076,1092,1109,1123,1137,1152,1171,1189,1214,1235,1258,1282,1300,1321,1337,1360,1380,1401,1416,1436,1461,1489,1508,1536,1562,1583,1615,1632,1650,1672,1694,1718,1741,1767,1778,1804,1825,1848,1867,1879,1905,1929,1949,1980,2005,2028,2052,2095,2133,2162,2195,2223,2250,2281,2317,2345,2379,2416,2453,2483,2514,2555,2603,2641,2688,2707,2739,2771,2801,2831,2871,2906,2943,2991,3026,3054,3087,3125,3172,3209,3252,3282,3312,3350,3378,3421,3466,3511,3552,3603,3660,3710,3770,3829,3888,3945,4014,4069,4141,4216,4292,4375,4460,4539,4617,4712,4797,4888,5001,5101,5213,5327,5463,5605,5745,5931,6142,6352,6564,6797,7014,7234,7454,7685,7903,8137,8417,8678,8924,9179,9456,9722,10053,10374,10704,11021,11359,11693,12023,12359,12709,13060,13407,13782,14148,14496,14832,15191,15584,15985,16427,16866,17304,17747,18158,18571,19030,19478,19953,20421,20854,21313,21772,22231,22758,23309,23809,24315,24872,25375,25904,26408,26941,27517,28127,28733,29342,29959,30657,31309,31990,32675,33384,34142,34963,35759,36586,37421,38344,39277,40246,41169,42138,43150,44141,45201,46327,47413,48557,49779,50901,52108,53314,54535,55808,57095,58425,59761,61159,62578,64066,65643,67217,68763,70375,71952,73593,75403,77214,78988,80817,82653,84577,86513,88471,90495,92629,94746,96957,99207,101576,103972,106407,108959,111451,114092,116763,119373,122053,124942,127735,130478,133313,136257,139176,142100,145091,148242,151376,154530,157696,161050,164509,168001,171646,175206,178912,182722,186578,190417,194337,198373,202497,206751,210888,215271,219677,224164,228734,233275,238017,242639,247529,252413,257528,262458,267670,272973,278464,284067,289651,295437,301197,306925,312784,318762,324867,331124,337430,343685,349959,356449,362989,369478,376409,383361,390548,397699,404969,412209,419690,427296,435160,442970,450846,458853,467125,475567,484091,492740,501365,510141,519073,528042,537016,546297,555843,565642,575500,585203,595286
1,1,1,1,1,1,1,2,4,5,5,6,6,7,8,9,10,12,14,15,15,17,20,22,26,35,42,44,52,57,59,61,66,72,77,81,85,90,90,98,105,119,128,138,142,146,152,158,164,169,174,179,184,188,194,198,200,206,210,218,224,227,235,242,250,252,259,268,280,289,299,310,323,328,337,346,352,365,379,389,397,408,415,432,439,447,456,469,489,503,513,524,542,554,562,573,586,600,616,632,662,684,698,717,736,746,756,775,787,805,832,850,870,893,909,924,943,960,983,1016,1038,1054,1067,1084,1114,1134,1159,1184,1207,1228,1251,1277,1311,1344,1371,1398,1426,1453,1491,1523,1558,1582,1606,1631,1660,1687,1718,1741,1764,1788,1814,1838,1858,1877,1904,1924,1956,1977,2005,2026,2049,2069,2099,2113,2139,2157,2183,2208,2229,2251,2263,2289,2303,2323,2347,2371,2393,2416,2438,2457,2471,2492,2511,2524,2544,2561,2579,2610,2644,2668,2686,2716,2738,2766,2800,2830,2856,2891,2914,2939,2977,3008,3045,3076,3110,3147,3186,3219,3248,3301,3338,3382,3437,3482,3521,3569,3601,3651,3717,3781,3838,3913,3993,4075,4140,4209,4284,4363,4441,4536,4620,4710,4788,4878,4965,5071,5161,5254,5350,5448,5548,5665,5784,5902,6016,6127,6216,6328,6474,6619,6766,6926,7101,7291,7472,7701,7951,8178,8437,8675,8970,9262,9580,9892,10195,10499,10781,11093,11419,11706,12011,12346,12674,12977,13286,13627,13941,14281,14613,14988,15373,15769,16183,16640,17120,17631,18145,18641,19148,19682,20182,20707,21199,21745,22258,22802,23315,23864,24407,24903,25420,25960,26500,27028,27547,28101,28667,29255,29792,30369,30935,31543,32121,32738,33331,33967,34644,35280,35942,36686,37402,38091,38843,39590,40383,41169,41901,42699,43495,44279,45088,45932,46823,47682,48538,49389,50189,51140,52022,52938,53962,54898,55908,56994,58058,59179,60339,61468,62626,63805,64908,66088,67282,68444,69615,70778,72017,73306,74620,75947,77229,78552,79893,81278,82757,84147,85564,86975,88494,90056,91618,93203,94947,96679,98353,100110,101852,103623,105439,107330,109192,111099,113031,115005,116975,119010,121015,123098,125100,127169,129245,131482,133644,135996,138346,140733,143174,145526,148001,150562,153153,155746,158293,160939,163580,166352,169137,172010,174922,177934,180874,183937,187198,190472,194060,197450,200862,204551,208235,211985,215793,219646,223494,227479,231538,235567,239721,243932,248234,252688,257031,261555,266113,270740,275438,280313,285247,290306,295194,300144,305371,310520,315839,321265,326855,332416,337975,343615,349401,355337,361140,367275,373226,379208,385328,391649,398044,404615,411257,418140,424950,431675,438983,446217,453580,460955,468511,476126,483859,491645,499668,507821,516075,524201,532499,540945,549492,558228,567028,576027,585036,594053,603317,612785,622207,631765,641325,650930,660718,670776,680730,690720,701093,711299,721676,732136,742811
1,1,3,3,3,3,4,7,8,10,10,12,14,16,18,19,19,19,20,21,21,25,26,27,28,31,33,34,35,36,36,36,36,38,39,39,40,42,45,47,48,49,50,50,50,51,52,53,53,54,55,56,56,59,61,68,73,81,86,93,99,110,121,129,158,170,191,224,266,310,353,390,440,485,524,561,609,650,695,754,793,836,875,907,943,980,1005,1030,1055,1075,1116,1147,1166,1186,1215,1250,1279,1300,1324,1344,1378,1401,1429,1466,1513,1545,1574,1615,1645,1684,1709,1753,1785,1833,1878,1916,1962,1999,2038,2083,2123,2168,2221,2263,2303,2348,2390,2429,2470,2501,2533,2575,2614,2650,2678,2718,2748,2787,2830,2870,2903,2938,2986,3020,3066,3112,3154,3211,3276,3325,3367,3416,3473,3517,3574,3638,3686,3751,3821,3895,3969,4027,4079,4160,4224,4280,4346,4407,4479,4525,4600,4672,4746,4820,4886,4954,5013,5078,5163,5228,5308,5382,5467,5548,5620,5704,5781,5870,5950,6036,6127,6205,6294,6382,6477,6583,6695,6810,6940,7074,7184,7331,7489,7646,7812,7995,8152,8311,8506,8684,8869,9059,9235,9396,9569,9743,9914,10113,10254,10436,10639,10817,11025,11217,11447,11689,11907,12144,12459,12727,13023,13330,13648,13948,14238,14520,14842,15137,15436,15737,16004,16275,16545,16866,17170,17463,17752,18032,18346,18610,18931,19269,19569,19835,20147,20432,20703,21021,21322,21679,22000,22304,22634,22943,23270,23566,23909,24214,24542,24884,25237,25604,25956,26322,26683,27042,27425,27836,28221,28661,29064,29516,29944,30382,30804,31255,31721,32187,32633,33109,33588,34096,34634,35187,35709,36266,36891,37532,38120,38768,39381,40053,40728,41403,42104,42829,43527,44287,45056,45812,46576,47377,48133,48935,49816,50682,51597,52541,53437,54404,55347,56315,57326,58283,59329,60346,61328,62320,63322,64340,65386,66428,67407,68445,69411,70421,71405,72419,73419,74460,75524,76588,77665,78749,79819,80926,82060,83231,84442,85665,86908,88099,89389,90673,92070,93386,94810,96170,97677,99172,100670,102348,104027,105748,107555,109385,111257,113244,115308,117372,119423,121601,123787,126140,128482,130814,133320,135756,138285,140742,143327,146011,148852,151596,154394,157241,160109,163098,166077,169056,172215,175401,178759,182067,185491,188847,192387,195871,199554,203284,207169,210982,214976,219016,223131,227357,231627,235927,240576,245203,249977,254825,259749,264719,269871,275229,280448,285789,291299,296979,302566,308426,314465,320405,326560,332882,339207,345741,352357,359128,366090,373124,380201,387443,394623,402073,409517,416971,424410,431844,439408,447096,454921,462812,470677,478885,486961,495353,503787,512227,520851,529609,538531,547322,556421,565691,574928,584572,593927,603561,613392,623081,633073,643174,653442,663813,674143,684474,695004,705693,716599,727474,738723,749909,761325,772881,784641,796731,809038,821379,834066,846735,859725,872796,886261,899694,913246,927180,941203,955091,969515,983830,998123,1012559,1027347,1042382,1057596
1,1,1,1,1,1,1,1,2,3,4,7,10,10,12,16,16,16,18,20,24,31,36,40,45,52,63,69,78,84,94,102,106,114,125,135,139,146,150,157,167,170,181,189,197,207,222,226,234,243,253,272,283,288,304,319,328,338,350,366,384,403,421,433,453,462,471,484,489,505,514,525,532,540,553,566,578,594,611,621,637,648,665,682,697,704,716,729,743,750,769,786,803,816,830,838,847,866,881,895,909,921,940,966,991,1009,1028,1045,1061,1084,1109,1126,1147,1169,1193,1213,1239,1263,1286,1311,1330,1349,1378,1405,1426,1456,1489,1527,1558,1592,1616,1648,1672,1702,1733,1765,1792,1827,1868,1903,1944,1975,2029,2067,2114,2151,2193,2220,2259,2306,2348,2397,2429,2473,2521,2555,2604,2645,2693,2743,2788,2836,2894,2944,2998,3048,3101,3157,3207,3251,3317,3376,3438,3502,3552,3606,3667,3726,3781,3838,3894,3957,4020,4072,4117,4172,4227,4298,4357,4415,4464,4515,4579,4632,4688,4752,4820,4857,4912,4979,5038,5103,5158,5213,5279,5360,5436,5505,5594,5680,5760,5837,5922,6007,6086,6179,6259,6345,6430,6526,6618,6721,6850,6948,7070,7170,7286,7413,7514,7621,7744,7871,8014,8150,8301,8439,8576,8717,8876,9037,9191,9376,9540,9697,9847,10043,10224,10430,10638,10844,11037,11235,11477,11675,11882,12110,12317,12533,12774,13028,13277,13534,13759,14011,14236,14470,14697,14930,15148,15396,15666,15927,16188,16464,16717,16975,17225,17471,17697,17952,18206,18488,18786,19078,19377,19666,19976,20302,20639,20978,21299,21661,22010,22343,22714,23113,23492,23886,24281,24687,25100,25550,25961,26360,26800,27297,27758,28239,28727,29270,29776,30260,30797,31406,32024,32651,33290,33954,34644,35302,36023,36783,37574,38327,39132,39910,40749,41556,42372,43162,43971,44846,45712,46590,47484,48376,49300,50178,51159,52153,53207,54222,55174,56193,57285,58438,59536,60672,61777,62910,64100,65288,66425,67649,68852,70016,71266,72491,73746,75031,76350,77673,79037,80428,81872,83292,84847,86395,87933,89472,90948,92589,94217,95884,97557,99414,101215,103064,104881,106736,108618,110569,112557,114604,116774,119007,121328,123607,125939,128346,130842,133494,136136,138743,141464,144238,147022,149950,152997,156029,158993,162211,165585,168902,172301,175818,179393,183033,186644,190359,194193,198030,201884,205758,209723,213662,217878,222105,226307,230658,235014,239332,243784,248534,253242,257980,262906,267861,272963,278018,283286,288613,294115,299664,305427,311177,317047,322972,329018,335093,341357,347561,353866,360255,366933,373568,380325,387065,394064,401027,408025,415107,422258,429541,437140,444628,452551,460391,468421,476606,485032,493647,502265,511038,519846,528738,537712,546842,556290,565729,575057,584575,594577,604582,614728,624881,635144,645471,656010,666814,677565,688474,699351,710739,721817,733127,744528,756026,767665,779505,791582,803513,815847,828232,840507,853499,866620
1,1,1,1,4,7,7,9,9,12,16,18,23,26,28,33,38,43,55,59,64,66,70,75,85,96,100,106,111,119,127,131,134,141,147,155,165,173,182,188,194,201,207,212,223,230,236,246,253,259,272,280,283,295,302,309,314,322,335,344,354,361,373,391,413,427,444,461,473,491,502,524,542,555,572,595,627,643,659,669,688,705,724,740,760,774,798,820,854,871,889,914,933,955,986,1013,1045,1068,1106,1148,1185,1218,1250,1276,1303,1337,1368,1401,1439,1469,1505,1545,1579,1615,1650,1703,1738,1780,1820,1847,1890,1924,1960,2015,2059,2110,2145,2194,2225,2265,2316,2367,2407,2452,2493,2536,2580,2631,2683,2726,2761,2813,2854,2908,2962,3003,3050,3102,3142,3200,3243,3303,3356,3396,3447,3498,3556,3607,3652,3713,3767,3810,3859,3905,3956,4007,4064,4109,4162,4221,4280,4333,4375,4445,4520,4570,4634,4682,4756,4810,4877,4939,5009,5071,5147,5227,5296,5380,5462,5572,5668,5776,5878,5967,6078,6180,6299,6400,6523,6657,6762,6868,6971,7080,7166,7271,7399,7495,7625,7741,7857,7967,8096,8223,8350,8473,8609,8740,8887,9035,9169,9302,9440,9592,9745,9904,10043,10196,10386,10532,10691,10849,10985,11142,11312,11499,11710,11914,12146,12338,12555,12760,12971,13205,13455,13676,13914,14139,14390,14638,14891,15148,15383,15626,15879,16130,16372,16594,16841,17092,17300,17519,17722,17962,18207,18454,18709,18973,19227,19514,19797,20097,20387,20723,21049,21336,21690,22009,22359,22705,23071,23468,23849,24255,24645,25033,25438,25877,26346,26833,27314,27786,28312,28805,29288,29813,30383,30973,31569,32246,32877,33503,34116,34779,35523,36219,36863,37558,38238,38969,39692,40417,41176,41912,42654,43409,44223,45090,45977,46818,47713,48614,49463,50451,51447,52480,53533,54661,55763,56908,57995,59178,60346,61574,62805,64057,65315,66631,67929,69290,70720,72129,73583,75097,76585,78178,79757,81343,82959,84649,86359,88135,89881,91583,93328,95023,96787,98470,100257,102127,103933,105805,107633,109633,111557,113564,115505,117512,119599,121698,123857,125983,128233,130447,132710,135086,137388,139721,142162,144694,147239,149783,152430,155246,157979,160742,163633,166694,169701,172880,175977,179244,182582,185912,189342,192784,196237,199711,203336,206981,210597,214187,217993,221820,225541,229395,233335,237348,241526,245636,249721,253960,258286,262618,267047,271491,276249,280956,285662,290621,295544,300625,305742,311000,316294,321846,327424,333109,338760,344549,350513,356559,362799,369006,375426,381868,388414,394954,401622,408363,415203,422071,429228,436481,443724,451096,458780,466452,474375,482391,490474,498516,506719,515049,523630,532276,541087,550145,559403,568873,578350,587805,597368,607118,616947,626915,637151,647613,658111,668545,679472,690457,701627,713089,724659,736050,747838,759647,771848,784145,796491,808996,822002,835139,848519,861858,875414,889203,902981,916851,930941,945272,959717,973928,988618,1003247,1018276
1,1,1,1,1,5,5,5,5,5,6,8,9,11,12,12,12,12,15,16,20,24,26,29,32,35,43,47,54,57,61,66,77,79,82,92,96,101,107,111,113,116,125,129,137,141,151,158,162,165,169,170,176,179,183,193,206,214,223,237,247,251,264,278,289,304,317,331,344,360,373,399,430,450,473,489,503,532,567,606,643,665,703,732,762,792,823,864,899,929,971,1010,1050,1084,1119,1155,1193,1237,1282,1318,1361,1401,1440,1478,1514,1555,1588,1645,1717,1763,1810,1867,1924,1960,2006,2070,2141,2204,2257,2312,2358,2420,2477,2535,2594,2648,2709,2766,2834,2891,2947,3033,3088,3159,3218,3275,3341,3412,3480,3552,3614,3671,3742,3802,3852,3944,4011,4085,4160,4215,4275,4344,4404,4469,4528,4608,4693,4780,4854,4917,4992,5084,5169,5270,5419,5558,5688,5817,5964,6127,6330,6503,6682,6840,7024,7202,7373,7567,7757,7963,8177,8435,8667,8962,9191,9446,9695,9927,10177,10438,10688,10977,11296,11572,11876,12158,12468,12800,13128,13411,13747,14109,14442,14779,15140,15516,15899,16226,16546,16946,17358,17751,18151,18532,18906,19333,19697,20080,20468,20867,21237,21631,22020,22433,22873,23286,23756,24244,24701,25200,25674,26186,26730,27256,27771,28341,28921,29470,30051,30624,31193,31769,32344,32953,33587,34213,34827,35461,36146,36818,37502,38139,38858,39556,40284,40991,41731,42500,43233,44051,44844,45610,46426,47241,48098,48953,49867,50776,51723,52695,53653,54605,55682,56730,57794,58862,59942,61156,62288,63458,64624,65871,67117,68383,69660,70969,72375,73794,75209,76659,78141,79691,81242,82881,84506,86238,88022,89741,91558,93527,95452,97357,99517,101593,103745,105812,108027,110282,112556,114815,117213,119599,122053,124460,126941,129426,132002,134544,137075,139576,142110,144731,147315,149885,152668,155442,158257,161125,163973,167015,170154,173298,176524,179810,183161,186655,190211,193807,197500,201163,204982,208898,212724,216698,220794,224861,229054,233311,237529,241790,246181,250590,254924,259410,264103,268927,273771,278613,283528,288644,293777,298919,304069,309433,314927,320324,325969,331485,337165,342904,348801,354816,360763,366906,373232,379555,385939,392571,399075,405780,412667,419429,426356,433403,440481,447774,455126,462520,470142,477870,485721,493755,501885,510170,518532,526846,535320,543933,552776,561506,570431,579552,588863,598281,607664,617299,626839,636666,646777,657032,667427,677974,688419,699192,710055,721364,732844,744323,756167,768098,779969,792185,804636,817455,830598,843858,857229,870825,884328,898039,912157,926298,940538,955119,970062,984907,999878,1014987,1030328,1045850,1061223,1077040,1092959,1109345,1125821,1142541,1159242,1175871,1193449,1210669,1228134,1245520,1263176,1281307,1299393,1317578,1336053,1354688,1373547,1392655,1411662,1430726,1450003,1469227,1488869,1508325,1527944,1547962,1567957,1588051,1608464,1629125,1650042,1670761,1691660,1712623,1733761,1754887,1776396,1797869,1819422,1840857,1862758,1884330,1906469,1928426,1950644,1972869,1995243,2017778,2040407,2063354,2086073,2109075,2132077,2155234,2178611
1,1,1,1,1,1,2,2,4,7,8,8,8,10,13,15,16,18,21,21,21,24,27,29,35,42,45,46,57,62,67,70,76,81,85,93,98,101,106,111,115,120,123,129,137,144,148,149,151,155,157,158,161,163,165,167,172,173,177,179,179,180,182,184,187,189,194,196,201,202,203,206,206,208,210,212,215,218,220,221,223,225,228,228,229,229,229,230,233,233,237,238,241,242,244,246,246,248,255,258,264,265,268,273,275,282,288,295,302,305,308,314,318,322,325,331,331,336,338,343,343,343,346,351,358,358,366,371,374,378,383,384,386,387,391,394,395,398,403,406,406,414,420,424,428,432,434,440,446,447,456,467,476,484,491,498,505,513,528,535,540,550,556,563,574,585,596,599,606,615,624,630,638,643,650,651,661,668,676,680,687,694,701,707,711,718,728,740,748,760,773,788,799,810,818,830,840,854,864,877,894,903,925,941,957,972,988,1003,1015,1036,1050,1069,1083,1097,1116,1143,1162,1182,1194,1210,1227,1241,1252,1268,1292,1308,1320,1326,1338,1356,1373,1387,1402,1415,1439,1453,1474,1486,1500,1513,1531,1548,1567,1581,1596,1606,1618,1629,1645,1658,1672,1687,1702,1721,1734,1751,1762,1789,1804,1812,1828,1846,1858,1878,1898,1913,1930,1948,1961,1976,1990,2006,2024,2044,2058,2079,2091,2109,2125,2136,2157,2171,2191,2211,2223,2232,2244,2262,2277,2291,2300,2312,2331,2343,2354,2375,2394,2412,2425,2440,2456,2475,2487,2505,2533,2555,2572,2596,2620,2654,2674,2700,2725,2752,2777,2803,2834,2864,2892,2923,2954,2992,3026,3063,3102,3141,3173,3206,3238,3273,3316,3361,3403,3445,3475,3504,3528,3559,3596,3635,3667,3706,3742,3787,3825,3877,3916,3963,4010,4042,4091,4143,4202,4259,4314,4377,4440,4493,4557,4604,4662,4718,4791,4843,4889,4946,4999,5059,5122,5180,5237,5283,5339,5388,5437,5486,5546,5594,5639,5683,5734,5778,5825,5887,5942,5981,6020,6060,6102,6151,6197,6242,6278,6309,6344,6397,6450,6498,6546,6599,6665,6714,6766,6825,6875,6926,6983,7021,7082,7128,7186,7249,7307,7369,7419,7496,7558,7608,7678,7748,7817,7884,7943,7995,8069,8132,8199,8274,8330,8388,8456,8539,8599,8657,8726,8790,8866,8942,9012,9099,9158,9255,9358,9439,9534,9628,9723,9813,9920,10022,10148,10248,10369,10495,10609,10727,10848,10975,11125,11255,11412,11572,11718,11859,11999,12127,12259,12415,12563,12708,12875,13040,13176,13345,13496,13643,13789,13958,14132,14306,14453,14607,14771,14961,15108,15289,15464,15642,15838,16005,16194,16392,16584,16771,16962,17175,17408
1,1,1,1,1,1,1,1,2,4,4,5,6,8,9,12,15,16,18,25,27,28,33,34,37,43,46,50,57,60,62,67,72,76,83,89,94,100,107,116,121,123,130,134,141,148,152,158,163,165,169,175,180,185,186,189,192,196,199,202,206,209,217,222,230,234,241,250,252,257,265,274,283,289,298,306,314,324,336,345,358,370,378,387,398,412,424,435,445,468,477,489,497,511,525,536,546,553,569,583,591,611,626,642,657,666,691,707,724,738,753,769,792,806,822,838,860,885,907,936,968,993,1020,1048,1064,1092,1121,1148,1184,1215,1242,1285,1314,1361,1410,1464,1524,1590,1652,1712,1775,1831,1889,1949,2005,2094,2176,2236,2318,2376,2469,2557,2634,2712,2813,2906,2986,3087,3180,3278,3368,3465,3549,3652,3737,3829,3914,4009,4108,4218,4331,4447,4556,4659,4789,4928,5054,5195,5346,5491,5653,5829,5983,6188,6392,6602,6820,7048,7288,7517,7740,7964,8213,8431,8661,8892,9165,9442,9691,9985,10281,10575,10862,11209,11557,11919,12249,12634,13015,13371,13759,14142,14493,14896,15336,15736,16161,16595,17032,17468,17881,18343,18800,19278,19750,20253,20740,21310,21870,22448,23035,23643,24300,25014,25715,26412,27125,27848,28644,29423,30223,31051,31919,32804,33686,34513,35397,36301,37186,38030,38944,39919,40848,41912,43012,44112,45224,46395,47609,48790,49970,51267,52531,53848,55139,56541,57981,59417,60943,62434,64045,65682,67308,68978,70667,72394,74080,75903,77734,79600,81478,83362,85337,87353,89306,91251,93307,95439,97576,99744,101953,104160,106498,108755,111035,113323,115635,118112,120645,123109,125642,128213,130755,133398,136103,138779,141656,144593,147563,150601,153758,156871,160117,163495,166846,170230,173648,177117,180658,184313,187962,191788,195601,199523,203406,207266,211322,215377,219464,223600,227781,232132,236371,240881,245320,249936,254597,259253,264126,269004,273967,278951,284049,289286,294541,299867,305284,310631,316178,321760,327492,333264,339175,345392,351711,358134,364677,371326,378170,385096,392014,399126,406389,413750,421195,428855,436543,444282,452149,460208,468321,476416,484718,493131,501564,510203,518966,527978,536987,546190,555419,564904,574474,584198,594031,604155,614208,624379,634705,645364,656096,667031,678233,689465,701003,712554,724118,735822,747991,760155,772231,784652,797272,810091,823195,836090,849295,862791,876210,889968,904017,917954,932151,946642,961010,975640,990374,1005345,1020267,1035469,1050717,1066448,1082074,1098047,1114271,1130566,1146920,1163778,1180727,1197660,1214671,1231905,1249169,1266783,1284307,1302450,1320364,1338543,1356978,1375382,1394000,1412433,1431375,1450435,1469771,1489201,1508766,1528533,1548252,1568296,1588411,1608559,1628810,1649192,1669575,1690125,1710959,1731741,1752471,1773502,1794599,1816056,1837395,1859171,1880978,1903140,1925456,1947525,1970089,1992857,2015665,2038328,2061339,2084248,2107216,2130352,2153389,2176873,2200447,2223716,2247381,2271039,2295092,2319230,2343589,2367620,2391959,2416756,2441170,2465510,2490115,2515026,2539653,2564648,2589618,2614329,2639595
1,1,1,1,1,2,4,4,4,5,5,6,9,11,14,17,21,23,26,28,30,34,39,43,53,57,67,76,88,94,101,108,112,124,127,136,148,163,173,179,185,196,207,220,233,242,256,272,284,298,318,341,354,377,395,410,423,443,459,479,497,518,532,550,560,580,600,612,626,642,656,667,683,700,714,729,740,762,780,800,819,837,854,869,888,902,916,930,946,967,981,1001,1015,1039,1051,1073,1091,1104,1125,1142,1161,1174,1190,1205,1226,1242,1257,1281,1298,1311,1333,1355,1379,1401,1421,1442,1460,1492,1512,1529,1553,1577,1600,1628,1651,1673,1695,1725,1753,1778,1797,1812,1824,1841,1862,1884,1907,1923,1943,1955,1974,1992,2011,2026,2038,2049,2061,2070,2081,2099,2117,2135,2151,2166,2176,2189,2199,2219,2232,2245,2264,2280,2294,2311,2331,2358,2373,2390,2407,2433,2457,2478,2504,2533,2563,2596,2631,2671,2696,2735,2790,2839,2873,2915,2945,2980,3010,3040,3086,3122,3159,3182,3218,3254,3289,3315,3346,3380,3413,3453,3475,3495,3530,3571,3608,3641,3675,3703,3740,3767,3796,3822,3856,3889,3919,3949,3978,4009,4048,4092,4135,4174,4211,4241,4277,4322,4357,4400,4435,4478,4522,4561,4604,4649,4693,4741,4800,4854,4892,4939,4986,5041,5091,5141,5185,5234,5274,5324,5368,5417,5474,5552,5612,5663,5721,5788,5868,5939,6022,6104,6180,6262,6344,6429,6513,6593,6706,6804,6908,7011,7102,7211,7318,7421,7542,7648,7766,7890,7993,8115,8234,8356,8477,8588,8721,8844,8966,9087,9216,9357,9507,9629,9759,9911,10056,10205,10347,10501,10637,10777,10945,11138,11278,11439,11601,11761,11929,12119,12298,12472,12652,12853,13056,13260,13458,13658,13839,14039,14232,14437,14664,14896,15108,15318,15540,15783,15969,16201,16427,16658,16888,17154,17394,17648,17896,18157,18414,18671,18941,19195,19460,19717,19984,20281,20554,20851,21131,21464,21742,22020,22301,22598,22896,23193,23506,23796,24135,24459,24777,25103,25491,25851,26209,26577,27007,27401,27824,28266,28739,29192,29672,30134,30587,31067,31590,32078,32575,33109,33651,34190,34768,35387,36001,36635,37257,37939,38643,39348,40097,40793,41519,42249,42991,43723,44408,45139,45895,46663,47409,48140,48869,49583,50342,51099,51851,52616,53392,54150,54913,55688,56438,57250,58071,58856,59683,60498,61400,62285,63154,64096,64979,65906,66817,67714,68664,69639,70564,71500,72486,73550,74602,75684,76803,77922,79118,80395,81625,82887,84239,85599,86974,88394,89775,91137,92521,93971,95485,96896,98271,99656,101119,102498,103917,105453,107016,108623,110198,111934,113681,115511,117291,119247,121189,123126,125153,127228,129291,131341,133500,135697,137859,140045,142328,144702,147066,149429,151897,154367,156897,159511,162211,164957,167847,170696,173613,176674,179680,182956,186244,189536,192978,196392,199952,203570,207288,210989,214758
1,1,1,2,3,3,4,6,7,8,9,10,13,14,17,19,19,19,19,22,25,26,30,34,37,38,46,48,51,57,69,72,75,81,84,87,97,98,103,107,112,115,119,125,129,132,141,149,155,158,163,166,172,176,183,189,190,200,205,206,211,221,226,235,242,251,259,263,269,281,294,302,310,322,327,334,347,355,365,371,378,384,392,410,419,432,442,447,457,469,484,499,507,525,532,547,557,569,584,590,600,615,635,648,660,670,684,691,699,720,744,763,781,797,811,829,847,868,888,905,917,939,955,974,996,1011,1034,1053,1070,1091,1114,1130,1148,1185,1207,1223,1249,1275,1293,1309,1329,1361,1390,1416,1435,1456,1485,1507,1531,1551,1582,1612,1651,1688,1715,1737,1764,1787,1813,1836,1873,1907,1932,1962,1986,2014,2042,2065,2090,2117,2139,2165,2187,2215,2237,2259,2283,2301,2322,2338,2367,2390,2411,2438,2451,2474,2506,2530,2562,2588,2627,2662,2698,2737,2774,2807,2855,2881,2915,2965,3009,3050,3079,3120,3159,3195,3234,3295,3346,3390,3435,3469,3511,3555,3598,3657,3706,3744,3796,3846,3902,3963,4006,4066,4131,4190,4244,4305,4371,4450,4518,4602,4663,4739,4799,4860,4943,5006,5064,5145,5218,5285,5380,5471,5544,5630,5706,5792,5906,6018,6127,6256,6388,6505,6630,6758,6892,7058,7223,7396,7576,7761,7966,8165,8341,8499,8683,8871,9089,9296,9533,9759,10007,10286,10526,10772,11036,11301,11566,11834,12076,12339,12615,12853,13146,13435,13758,14046,14311,14618,14919,15213,15512,15817,16104,16419,16722,17022,17321,17617,17916,18224,18522,18819,19136,19438,19763,20085,20422,20769,21167,21608,21996,22445,22864,23336,23813,24238,24707,25160,25649,26134,26653,27160,27657,28145,28658,29192,29717,30220,30766,31290,31872,32449,33019,33610,34225,34837,35433,35992,36571,37175,37816,38457,39100,39704,40367,41026,41654,42318,42986,43672,44339,45069,45793,46546,47316,48115,48902,49686,50438,51269,52116,52951,53823,54702,55577,56435,57369,58313,59319,60252,61213,62178,63226,64334,65500,66632,67792,68924,70087,71303,72446,73766,75105,76408,77685,79034,80366,81686,83035,84375,85766,87149,88536,89962,91427,92860,94300,95745,97243,98682,100163,101659,103233,104757,106361,107955,109536,111142,112736,114378,116050,117718,119388,121169,122959,124772,126646,128530,130326,132245,134158,136072,138065,140115,142145,144267,146352,148393,150563,152776,155080,157392,159799,162068,164500,166980,169594,172356,174987,177729,180409,183190,186075,189131,192151,195270,198464,201555,204816,208059,211474,214998,218639,222186,225857,229629,233533,237520,241676,245722,249948,254351,258902,263317,267976,272687,277495,282374,287125,292086,297299,302488,307880,313246,318729,324314,329939,335646,341521,347659,353717,359796,365893,372093,378519,384868,391390,398037,404803,411705,418720,425692,432892,440225,447612
1,1,2,4,5,6,8,11,14,14,15,18,20,22,25,27,31,37,38,39,44,48,51,54,57,62,70,75,81,84,86,88,90,97,104,110,116,119,123,126,129,135,142,147,153,164,172,173,174,178,187,197,199,203,208,214,219,225,230,236,239,245,250,255,260,263,265,270,273,279,282,285,288,294,297,301,305,307,316,320,326,333,342,354,363,370,380,387,397,410,417,427,439,445,453,463,468,480,489,496,503,510,515,523,532,536,543,550,560,566,575,578,587,593,597,601,605,607,612,618,626,630,635,640,647,650,654,660,669,674,678,681,685,690,694,696,706,712,716,720,727,731,735,737,742,750,754,764,768,775,790,793,801,809,823,832,841,852,865,876,898,913,933,944,956,971,983,1003,1020,1034,1056,1083,1106,1122,1137,1155,1174,1191,1207,1238,1264,1276,1294,1311,1331,1354,1369,1390,1412,1427,1441,1459,1475,1495,1509,1524,1555,1575,1592,1620,1639,1658,1681,1705,1728,1751,1765,1787,1802,1818,1834,1850,1866,1883,1895,1912,1928,1942,1950,1964,1975,1995,2014,2029,2042,2050,2061,2074,2084,2098,2113,2121,2133,2149,2167,2183,2193,2204,2213,2227,2245,2252,2262,2279,2290,2304,2310,2325,2343,2361,2374,2388,2396,2411,2422,2440,2456,2465,2480,2492,2501,2512,2529,2541,2558,2569,2581,2592,2610,2627,2642,2655,2666,2678,2687,2700,2720,2731,2743,2750,2761,2771,2790,2803,2812,2821,2834,2847,2854,2869,2881,2896,2909,2921,2929,2943,2955,2965,2977,2991,3003,3020,3040,3061,3076,3094,3109,3125,3145,3166,3188,3211,3240,3269,3294,3319,3337,3361,3389,3411,3434,3461,3489,3520,3553,3570,3595,3622,3648,3685,3719,3761,3793,3823,3847,3866,3893,3914,3946,3980,4001,4029,4048,4069,4096,4122,4145,4166,4190,4209,4228,4251,4272,4288,4311,4326,4342,4358,4382,4402,4425,4447,4457,4479,4493,4519,4542,4561,4576,4591,4607,4628,4644,4667,4686,4712,4723,4755,4780,4797,4823,4841,4855,4875,4888,4911,4936,4965,4986,5010,5041,5068,5094,5122,5154,5187,5224,5248,5277,5297,5328,5356,5373,5402,5422,5444,5477,5506,5533,5561,5594,5621,5641,5671,5711,5739,5772,5805,5842,5879,5914,5943,5977,6016,6053,6093,6123,6151,6186,6224,6245,6281,6310,6343,6377,6410,6432,6465,6491,6520,6544,6570,6590,6612,6632,6651,6677,6704,6729,6753,6777,6798,6818,6835,6863,6888,6909,6927,6942,6961,6974,7003,7026,7044,7069,7100,7119,7140,7159,7183,7202,7222,7245,7272,7297,7320,7344,7363,7378,7401,7421,7445,7475,7490,7517,7538,7560,7576,7591,7612,7627,7652,7671,7698,7718,7745,7768
1,1,2,3,5,5,6,7,9,10,10,13,15,17,17,18,21,22,26,28,30,33,34,38,39,42,48,52,55,59,64,69,71,80,83,85,86,89,92,95,98,104,108,110,115,120,129,132,139,147,154,162,169,175,180,182,188,195,203,211,219,228,237,241,250,259,268,270,275,284,290,295,302,309,319,328,337,342,350,355,366,378,386,396,404,412,419,427,438,448,458,474,482,493,498,502,504,512,519,529,535,544,557,571,582,595,608,618,628,646,658,668,678,691,702,722,737,760,778,795,821,851,878,912,944,973,1004,1031,1057,1090,1126,1163,1205,1245,1289,1322,1364,1398,1430,1465,1490,1524,1546,1584,1620,1667,1697,1744,1788,1823,1866,1911,1963,2033,2080,2128,2188,2242,2303,2375,2440,2501,2566,2633,2725,2795,2887,2981,3054,3117,3184,3258,3323,3391,3470,3550,3622,3676,3753,3821,3899,3959,4018,4096,4175,4235,4300,4369,4430,4497,4566,4628,4679,4742,4810,4869,4916,4980,5058,5122,5194,5267,5339,5413,5462,5536,5610,5679,5745,5800,5866,5927,6012,6099,6175,6247,6336,6412,6491,6566,6648,6706,6781,6850,6942,7040,7140,7219,7310,7379,7460,7553,7652,7760,7864,7979,8075,8164,8250,8366,8490,8633,8766,8865,9017,9188,9335,9477,9636,9771,9936,10092,10252,10420,10590,10786,10975,11168,11370,11583,11775,11965,12170,12376,12595,12828,13055,13275,13480,13736,14000,14278,14549,14875,15180,15506,15833,16196,16584,16955,17371,17767,18127,18508,18928,19320,19712,20118,20504,20900,21327,21740,22181,22626,23106,23548,24030,24527,25013,25510,25978,26513,27093,27686,28297,28919,29561,30210,30924,31652,32402,33160,33991,34837,35596,36441,37249,38117,39003,39872,40798,41686,42635,43610,44556,45552,46535,47551,48561,49581,50635,51779,52875,53991,55154,56281,57406,58564,59781,60997,62211,63484,64769,66125,67436,68732,70059,71460,72843,74313,75839,77368,78926,80564,82290,83981,85760,87612,89480,91410,93329,95350,97409,99540,101769,103961,106209,108471,110760,113152,115449,117910,120321,122764,125269,127757,130386,133150,135952,138843,141791,144810,147854,150870,153907,157044,160412,163693,167185,170777,174403,177964,181772,185631,189433,193435,197456,201635,205785,210115,214369,218617,223003,227360,231862,236230,240752,245314,250011,254551,259447,264333,269281,274279,279143,284315,289514,294818,300207,305611,311247,316985,322761,328566,334445,340554,346539,352705,359037,365461,372060,378707,385474,392299,399131,406257,413508,420915,428480,436282,444082,452062,460112,468226,476355,484782,493212,501873,510516,519465,528421,537643,546941,556140,565402,574749,584316,594056,603887,613901,624087,634231,644882,655424,665911,676638,687770,698851,710004,721347,732755,744345,756091,768171,780392,792590,804701,817093,829763,842394,855081,867848,880689,893874,907124,920333,933844,947502,961247,975081,989319,1003629,1018020,1032349,1046937,1061633,1076843
1,1,1,2,2,3,4,5,8,9,10,11,11,11,12,14,15,19,21,23,23,27,28,29,31,32,35,38,43,47,47,54,56,58,63,66,72,76,82,88,92,96,101,109,114,116,119,122,124,127,131,134,135,137,143,151,155,161,166,174,181,188,190,193,196,201,204,208,217,223,227,232,237,239,247,252,261,267,271,277,281,286,289,294,301,307,311,320,337,346,359,369,376,391,403,415,425,443,454,468,483,500,524,558,584,612,648,684,701,741,781,826,875,914,959,998,1041,1090,1141,1193,1243,1301,1347,1386,1435,1476,1523,1591,1659,1711,1777,1857,1931,2006,2080,2163,2240,2312,2399,2461,2539,2615,2697,2774,2866,2942,3016,3091,3191,3286,3365,3458,3543,3625,3707,3791,3872,3976,4071,4166,4254,4356,4467,4584,4697,4807,4932,5073,5202,5335,5503,5687,5844,6010,6186,6388,6573,6811,7019,7271,7490,7726,7967,8245,8535,8833,9137,9463,9745,10055,10353,10668,11034,11357,11679,12038,12428,12766,13127,13496,13872,14275,14677,15092,15517,15920,16321,16774,17213,17664,18127,18585,19012,19461,19904,20385,20885,21378,21898,22434,22978,23540,24139,24748,25370,26014,26648,27316,28022,28705,29423,30137,30905,31658,32420,33223,34039,34888,35730,36562,37401,38296,39171,40071,40982,41922,42870,43790,44675,45583,46558,47507,48475,49446,50430,51477,52517,53577,54643,55709,56756,57881,58973,60123,61276,62410,63576,64719,65907,67175,68369,69680,70980,72288,73646,74963,76306,77720,79113,80577,81995,83451,84930,86517,88065,89531,90985,92431,93995,95589,97249,98886,100567,102328,104137,105937,107739,109523,111395,113296,115329,117324,119353,121447,123639,125867,128143,130439,132780,135166,137568,140033,142596,145140,147718,150302,152988,155696,158425,161262,164143,167010,169901,172869,175879,178942,182087,185297,188711,192101,195596,199296,202946,206770,210382,214205,218109,222158,226228,230420,234578,238717,242927,247315,251735,256337,260807,265451,269988,274639,279212,283881,288707,293617,298504,303533,308493,313646,318793,324004,329410,334925,340640,346371,352075,357899,363870,369954,376133,382428,388695,395148,401811,408460,415012,421735,428559,435444,442348,449327,456460,463606,470793,478154,485567,493090,500788,508439,516159,523940,531825,539843,547817,555935,564171,572621,581134,589854,598540,607581,616885,625906,635222,644788,654504,664181,674086,683918,693868,704116,714337,724690,735154,745749,756336,767204,778244,789345,800345,811741,823281,835024,846967,858952,871170,883391,895799,908281,920798,933498,946662,959730,973166,986737,1000430,1014013,1027955,1042114,1056141,1070412,1085243,1099964,1114824,1130130,1145550,1161185,1176751,1192433,1208615,1224750,1241020,1257560,1274336,1291337,1308467,1325569,1342892,1360717,1378331,1396174,1414023,1431873,1450055,1468528,1486867,1505706,1524420,1543262,1562370,1581506,1600753,1620274,1639831,1659528,1679282,1698896,1718713,1738559,1758707,1778984,1799359,1819692,1840219,1860650,1881371,1902136,1922972,1943935,1965089,1986526,2008132,2029511,2051042,2072694,2094439,2116486,2138280
1,1,1,2,3,4,4,4,4,6,6,8,10,12,12,13,15,15,19,21,24,25,26,28,32,37,41,46,51,58,63,71,83,91,101,112,128,144,156,173,192,210,229,250,268,281,313,333,352,370,385,399,420,440,458,475,498,511,526,544,552,567,580,589,605,623,646,660,673,689,703,727,737,753,767,793,806,823,845,868,885,908,930,947,968,980,1001,1022,1039,1060,1075,1089,1108,1122,1145,1160,1178,1193,1207,1220,1233,1241,1260,1273,1290,1302,1316,1332,1345,1360,1372,1385,1400,1416,1426,1440,1451,1461,1472,1489,1502,1514,1535,1546,1556,1576,1589,1608,1626,1648,1661,1675,1692,1720,1731,1745,1759,1768,1777,1786,1802,1816,1820,1827,1836,1847,1854,1867,1873,1882,1891,1898,1907,1913,1920,1926,1932,1942,1949,1957,1964,1972,1973,1983,1987,1993,2002,2008,2012,2020,2026,2028,2034,2040,2044,2050,2053,2062,2067,2074,2082,2088,2094,2102,2109,2114,2123,2130,2139,2150,2170,2180,2195,2210,2222,2244,2267,2292,2311,2335,2359,2376,2391,2411,2441,2460,2493,2515,2542,2567,2579,2601,2628,2664,2686,2716,2752,2791,2822,2848,2883,2914,2944,2974,3009,3043,3079,3111,3147,3179,3224,3254,3289,3341,3376,3410,3451,3480,3517,3564,3587,3610,3645,3685,3720,3751,3778,3798,3825,3856,3890,3925,3963,3991,4024,4060,4085,4110,4128,4151,4184,4217,4262,4289,4318,4357,4396,4433,4475,4516,4556,4607,4652,4700,4744,4797,4842,4907,4958,5032,5107,5180,5251,5311,5376,5460,5551,5627,5713,5792,5875,5970,6067,6146,6225,6323,6421,6522,6639,6737,6854,6961,7072,7191,7304,7400,7507,7626,7738,7857,7972,8070,8169,8273,8390,8511,8630,8736,8855,8955,9074,9188,9309,9423,9532,9634,9758,9881,10000,10124,10251,10386,10532,10678,10826,10994,11163,11325,11475,11618,11790,11969,12155,12297,12464,12667,12870,13070,13281,13512,13724,13984,14214,14440,14650,14909,15158,15391,15616,15874,16120,16352,16592,16838,17097,17356,17612,17881,18094,18347,18591,18815,19080,19351,19620,19893,20129,20398,20655,20925,21191,21469,21715,21966,22256,22547,22849,23181,23464,23786,24111,24425,24753,25100,25455,25854,26217,26584,26967,27380,27832,28269,28782,29242,29738,30261,30743,31226,31754,32310,32857,33408,34035,34620,35212,35853,36525,37211,37956,38674,39402,40180,40981,41830,42598,43428,44295,45214,46092,46997,47995,49010,50078,51120,52202,53366,54477,55645,56778,57948,59170,60411,61621,62849,64073,65320,66608,67954,69269,70621,71966,73508,75029,76559,78166,79780,81458,83244,84958,86806,88623,90520,92431,94432,96485,98550,100631,102845,105035,107223,109484,111708,113977,116270,118662,121034,123467,125900,128423,131031,133692,136414,139155,141931,144773,147660,150584,153511,156485,159616,162851,165979,169243,172694,176148,179659,183264
1,1,1,2,3,4,5,7,7,8,8,8,9,11,13,17,21,22,27,30,32,33,38,43,48,52,57,60,62,67,72,76,83,87,94,95,97,102,104,110,118,122,129,137,152,161,171,179,187,193,195,207,219,231,246,252,257,268,281,297,308,310,322,333,345,355,366,379,390,401,416,427,437,464,484,503,528,542,561,578,599,618,638,661,690,718,743,769,797,829,856,885,920,943,982,1017,1036,1056,1074,1096,1117,1138,1160,1185,1210,1228,1247,1264,1284,1301,1319,1336,1348,1358,1368,1386,1406,1423,1438,1452,1464,1473,1484,1490,1497,1505,1513,1527,1538,1553,1562,1572,1577,1586,1595,1600,1607,1615,1623,1627,1635,1642,1647,1655,1659,1661,1665,1670,1675,1680,1687,1696,1700,1709,1717,1724,1729,1735,1742,1751,1761,1770,1782,1791,1798,1807,1818,1830,1838,1847,1854,1864,1876,1884,1899,1907,1919,1928,1941,1952,1963,1974,1981,2001,2012,2023,2035,2048,2059,2066,2080,2089,2093,2101,2113,2121,2128,2134,2146,2161,2178,2186,2198,2217,2225,2237,2246,2254,2264,2270,2280,2288,2295,2304,2317,2332,2348,2355,2366,2378,2389,2399,2407,2421,2429,2437,2450,2462,2468,2476,2482,2491,2495,2503,2514,2521,2534,2547,2556,2563,2570,2579,2595,2604,2612,2622,2633,2644,2661,2671,2678,2692,2702,2723,2736,2748,2771,2791,2807,2826,2844,2865,2903,2920,2942,2961,2976,3002,3026,3039,3052,3076,3093,3110,3125,3134,3156,3173,3194,3211,3230,3250,3267,3283,3301,3319,3332,3353,3368,3381,3403,3423,3438,3465,3487,3511,3537,3565,3606,3644,3672,3711,3742,3768,3790,3823,3852,3887,3918,3967,4006,4047,4075,4109,4154,4196,4233,4290,4317,4368,4420,4486,4541,4600,4660,4723,4786,4843,4918,4996,5082,5172,5252,5335,5422,5501,5572,5648,5732,5827,5925,6035,6166,6282,6420,6541,6674,6805,6916,7054,7175,7334,7469,7608,7754,7922,8081,8264,8485,8679,8878,9060,9233,9424,9623,9843,10054,10284,10504,10719,10939,11189,11421,11623,11885,12143,12380,12651,12913,13164,13397,13640,13878,14144,14404,14645,14880,15141,15415,15647,15878,16141,16401,16641,16916,17192,17445,17698,17976,18289,18557,18833,19122,19434,19750,20050,20376,20693,21020,21383,21746,22103,22499,22872,23262,23656,24052,24410,24806,25245,25706,26128,26611,27100,27595,28081,28555,29055,29547,30047,30576,31088,31558,32094,32558,33082,33529,34044,34543,35104,35645,36164,36699,37210,37720,38276,38837,39392,39931,40463,41043,41612,42287,42881,43505,44095,44728,45380,46024,46705,47350,48067,48764,49525,50261,51043,51809,52606,53431,54247,55124,56070,56932,57804,58691,59616,60488,61458,62409,63318,64257,65208,66147,67090,68011,68982,69961,70925,71898,72909,73984,75030,76108,77225,78361,79497,80612
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1,1,2,3,3,4,5,6,6,7,12,14,15,20,25,28,32,35,41,44,48,52,54,57,60,64,67,69,72,74,76,80,87,92,98,102,106,110,117,120,127,128,132,140,149,155,161,167,180,193,202,209,221,241,250,265,277,286,297,313,318,326,338,351,362,369,386,401,417,425,443,462,489,505,521,537,557,584,605,627,648,675,695,725,750,769,791,814,840,859,884,903,923,950,974,996,1031,1056,1085,1112,1128,1152,1172,1197,1216,1231,1249,1271,1301,1327,1355,1383,1405,1433,1461,1490,1515,1536,1563,1592,1631,1660,1698,1724,1762,1790,1823,1853,1878,1917,1950,1983,2019,2047,2082,2118,2158,2194,2235,2272,2314,2360,2397,2422,2446,2483,2526,2553,2585,2618,2660,2706,2745,2786,2820,2861,2900,2937,2979,3014,3052,3099,3141,3194,3244,3294,3350,3410,3465,3530,3599,3648,3715,3788,3862,3947,4021,4101,4185,4288,4381,4469,4555,4640,4732,4828,4939,5046,5147,5234,5340,5440,5559,5688,5783,5902,5999,6109,6223,6313,6447,6563,6664,6791,6903,7048,7180,7300,7430,7566,7664,7762,7887,8015,8128,8268,8384,8525,8643,8771,8884,9004,9126,9239,9369,9511,9605,9722,9856,10027,10164,10301,10432,10607,10793,10983,11175,11367,11581,11792,11998,12223,12482,12707,12948,13192,13434,13692,13948,14195,14470,14742,14994,15271,15554,15835,16124,16392,16689,16992,17271,17518,17822,18147,18469,18758,19087,19421,19744,20100,20425,20806,21207,21586,22010,22433,22843,23296,23708,24166,24603,25094,25625,26102,26652,27194,27716,28314,28936,29517,30144,30792,31436,32138,32882,33675,34492,35443,36374,37274,38194,39236,40225,41318,42400,43494,44520,45634,46790,47962,49142,50339,51587,52834,54169,55483,56853,58229,59633,60994,62547,63995,65422,66964,68502,69989,71504,73035,74625,76233,77827,79470,81059,82762,84439,86155,87902,89714,91506,93369,95245,97170,99081,101048,103032,105081,107207,109280,111462,113580,115769,118073,120336,122776,125160,127690,130158,132698,135310,137872,140549,143296,146065,148972,151863,154933,158073,161120,164246,167475,170701,174102,177412,180862,184293,187911,191624,195426,199179,203047,207022,211035,215231,219359,223614,227952,232437,236969,241573,246259,251133,256082,261036,266234,271493,276897,282309,287944,293720,299543,305345,311178,317309,323461,329630,335980,342240,348633,355205,361792,368596,375328,382162,389110,396050,403252,410625,417972,425417,432817,440208,448044,455780,463397,471143,478973,487031,495349,503527,511810,520083,528360,536976,545445,554045,562572,571326,580090,588873,597682,606712,616058,625441,634723,644152,653812,663478,673563,683420,693516,703937,714271,724902,735694,746597,757799,768942,780462,791896,803782,815753,827744,840051,852485,865172,877851,890618,903809,917096,930555,944133,957576,971454,985425,999751,1014227,1028700,1043332,1058351,1073339,1088629,1103955,1119376,1134853,1150503,1166666,1183147,1199615,1216336,1232993,1249707,1266760,1284141,1301832,1319488,1336977,1354865
1,1,1,1,1,4,6,7,9,9,10,11,13,14,16,19,20,20,21,21,22,23,30,34,37,37,44,49,53,54,57,57,59,63,65,68,69,70,75,78,86,88,91,94,95,98,100,103,105,107,112,113,115,119,120,121,123,125,127,128,130,131,133,136,138,140,142,145,145,149,149,154,157,162,162,164,168,169,172,173,175,179,185,186,186,187,187,189,190,192,195,195,198,199,202,203,206,208,216,219,222,227,232,239,246,249,253,258,262,269,272,277,283,289,292,294,301,311,317,328,335,342,350,358,364,371,381,397,410,422,441,464,473,489,511,535,560,584,607,627,645,667,691,726,745,755,776,789,808,828,847,863,884,903,926,944,970,999,1018,1050,1085,1116,1146,1175,1207,1242,1283,1320,1364,1403,1462,1518,1564,1634,1696,1762,1824,1889,1946,2009,2078,2139,2214,2278,2345,2406,2477,2562,2627,2697,2778,2876,2970,3031,3119,3215,3300,3401,3507,3608,3712,3832,3946,4057,4187,4293,4404,4544,4691,4820,4967,5095,5232,5385,5572,5742,5898,6075,6259,6450,6651,6877,7080,7293,7511,7711,7917,8141,8361,8552,8781,9005,9239,9495,9715,9984,10247,10515,10796,11059,11332,11612,11904,12208,12484,12770,13074,13381,13673,14014,14320,14652,15051,15456,15806,16152,16579,16989,17379,17784,18187,18611,19018,19451,19847,20267,20666,21090,21519,21956,22398,22841,23291,23711,24199,24686,25193,25677,26152,26655,27182,27759,28317,28852,29420,29958,30534,31127,31715,32351,32998,33670,34296,34978,35652,36308,36956,37589,38302,38977,39693,40396,41076,41799,42610,43399,44189,45015,45783,46626,47490,48277,49130,49928,50773,51631,52519,53470,54356,55271,56175,57203,58236,59235,60260,61294,62376,63550,64666,65818,66879,68126,69335,70581,71838,73110,74421,75707,77051,78361,79671,81069,82577,83986,85502,87031,88542,90094,91570,93099,94705,96291,98002,99667,101341,103129,104896,106687,108539,110408,112379,114288,116241,118254,120268,122267,124299,126316,128405,130556,132755,135023,137258,139537,141873,144242,146603,148976,151385,153900,156325,158977,161635,164271,166913,169726,172619,175578,178465,181491,184538,187634,190820,194054,197394,200852,204366,207877,211399,215015,218763,222646,226501,230469,234488,238590,242918,247145,251486,255864,260320,264916,269657,274556,279238,284117,289054,293990,299098,304196,309520,314810,320189,325468,331035,336783,342466,348289,354199,360246,366340,372602,379006,385349,391946,398637,405457,412463,419483,426519,433707,441032,448435,455952,463536,471275,479242,487025,495167,503425,511781,520192,528687,537288,545830,554493,563353,572304,581605,590968,600204,609620,619039,628809,638635,648614,658676,669054,679329,689914,700602,711431,722450,733542,744912,756432,768043,779549,791223,803375,815427,827549,839923,852317,864959,877602,890400,903444,916646,929771,943111,956673,970580,984670,998685,1013025,1027409
1,1,1,1,1,2,3,3,3,4,4,4,6,7,8,10,11,14,15,17,19,19,19,21,22,22,25,27,31,31,33,37,40,43,46,52,59,61,64,69,74,75,77,79,84,91,96,102,104,112,113,120,123,131,134,138,141,148,155,158,163,167,167,170,172,176,178,184,191,195,200,202,202,205,206,206,207,210,213,217,219,219,221,221,221,224,226,228,230,233,234,237,239,240,243,246,249,252,254,259,265,268,273,276,282,289,296,302,305,309,312,318,321,327,335,341,348,352,356,360,364,370,376,379,386,392,396,399,404,409,410,416,421,427,429,430,434,438,443,445,451,452,455,460,462,470,474,481,484,487,488,491,492,497,505,507,512,517,521,528,533,539,544,546,551,559,562,565,574,580,585,590,598,603,605,613,615,618,622,627,633,639,641,646,650,659,661,665,670,677,679,685,688,694,702,708,719,725,733,741,746,754,759,764,768,780,788,796,810,823,831,835,846,853,860,866,874,879,887,894,909,929,937,945,953,959,969,980,998,1013,1022,1039,1047,1059,1075,1091,1101,1116,1131,1141,1146,1161,1173,1177,1191,1207,1216,1233,1243,1254,1271,1286,1301,1321,1337,1350,1359,1370,1382,1390,1406,1417,1426,1443,1457,1471,1484,1499,1514,1523,1540,1552,1568,1586,1594,1608,1617,1632,1640,1657,1667,1680,1694,1715,1733,1742,1756,1772,1785,1799,1817,1841,1864,1890,1909,1943,1956,1993,2023,2060,2096,2130,2157,2188,2225,2262,2292,2318,2355,2399,2433,2466,2496,2523,2562,2598,2632,2663,2715,2757,2803,2843,2879,2937,2988,3050,3094,3135,3180,3218,3283,3334,3396,3454,3507,3556,3600,3662,3715,3764,3830,3880,3940,3990,4045,4087,4134,4190,4238,4290,4348,4403,4458,4513,4577,4655,4731,4803,4878,4960,5035,5103,5162,5235,5289,5362,5452,5557,5635,5711,5786,5874,5947,6027,6123,6207,6289,6362,6450,6537,6619,6690,6769,6872,6959,7052,7150,7236,7330,7431,7520,7617,7696,7808,7919,8024,8135,8231,8322,8424,8538,8683,8805,8921,9045,9187,9313,9438,9575,9720,9866,10012,10180,10345,10487,10654,10823,10995,11159,11325,11498,11724,11929,12158,12375,12620,12833,13049,13311,13555,13832,14100,14361,14638,14928,15257,15545,15864,16203,16547,16852,17220,17612,18027,18447,18828,19235,19691,20153,20561,20983,21372,21816,22283,22735,23206,23733,24231,24743,25270,25768,26362,26858,27454,27981,28489,29015,29550,30141,30730,31347,31925,32540,33195,33891,34505,35120,35807,36433,37098,37750,38447,39094,39805,40531,41256,42037,42848,43680,44513,45378,46271,47221,48086,49024,49969,50965
1,1,5,6,6,6,7,7,8,10,10,13,13,14,18,22,23,25,26,31,33,35,35,37,42,44,48,55,58,63,66,69,72,82,85,85,91,95,103,108,110,113,118,124,128,134,137,142,146,149,152,153,158,159,160,164,167,171,173,176,181,183,187,193,198,198,203,208,213,217,224,236,241,244,250,255,259,264,273,277,286,287,295,302,305,311,318,323,329,335,338,344,350,357,362,366,375,378,384,390,397,402,414,423,431,444,452,467,476,490,502,508,517,524,535,545,551,563,573,586,600,613,626,634,643,658,677,687,701,712,718,726,741,756,776,793,808,818,824,832,839,849,862,871,878,888,902,923,929,940,951,963,972,982,991,1003,1016,1025,1038,1054,1061,1076,1084,1093,1107,1116,1129,1143,1158,1163,1178,1189,1203,1208,1214,1220,1230,1238,1246,1256,1265,1280,1291,1300,1307,1316,1325,1330,1338,1345,1360,1370,1379,1388,1398,1407,1418,1427,1438,1451,1460,1478,1493,1511,1521,1531,1540,1555,1580,1600,1629,1648,1670,1692,1715,1739,1761,1778,1801,1829,1853,1872,1884,1908,1932,1957,1994,2022,2053,2068,2095,2113,2147,2169,2187,2207,2229,2261,2285,2310,2347,2371,2395,2422,2449,2482,2521,2551,2597,2627,2659,2699,2735,2761,2804,2835,2862,2901,2922,2947,2981,3022,3058,3085,3114,3138,3179,3209,3246,3280,3328,3373,3403,3438,3490,3535,3580,3615,3667,3725,3788,3854,3913,3973,4050,4114,4184,4237,4313,4387,4455,4514,4574,4648,4733,4808,4882,4982,5061,5130,5201,5278,5344,5430,5505,5590,5674,5760,5856,5959,6066,6160,6267,6361,6467,6586,6696,6806,6930,7056,7183,7317,7443,7554,7678,7825,7966,8094,8231,8380,8531,8686,8838,8983,9120,9281,9459,9599,9764,9918,10110,10286,10464,10655,10847,11041,11251,11450,11661,11838,12032,12232,12438,12648,12864,13092,13302,13519,13753,14004,14245,14485,14727,14966,15194,15436,15685,15936,16196,16449,16694,16914,17186,17447,17716,17961,18210,18492,18749,19031,19317,19584,19864,20165,20439,20751,21068,21431,21763,22104,22456,22827,23213,23632,24019,24453,24892,25378,25878,26438,26967,27453,28016,28577,29149,29714,30244,30825,31408,32004,32590,33189,33817,34492,35190,35837,36479,37164,37837,38550,39270,39987,40723,41501,42277,43086,43903,44766,45624,46513,47425,48372,49323,50299,51288,52300,53273,54290,55322,56406,57588,58766,60002,61230,62511,63775,65083,66407,67717,69066,70485,71885,73253,74610,76004,77466,78948,80419,82017,83547,85126,86803,88416,90127,91787,93479,95282,96975,98775,100546,102275,104157,106116,108162,110134,112151,114170,116191,118210,120284,122436,124617,126849,129239,131619,133991,136410,138923,141473,144092,146621,149290,151988,154791,157572,160499,163381
1,1,1,1,1,1,3,6,6,7,7,7,7,8,12,14,16,18,19,21,21,22,22,24,27,27,30,31,32,32,33,36,38,41,42,46,46,46,46,48,50,54,57,60,60,60,60,60,61,66,69,78,83,89,96,99,101,105,109,113,121,125,129,134,138,144,153,158,164,172,174,179,179,187,192,198,201,204,207,214,218,221,225,231,235,235,238,240,241,243,249,256,258,265,270,272,274,280,281,285,287,291,293,294,302,304,307,310,317,325,328,335,338,341,344,348,355,356,363,367,370,379,386,393,407,418,425,433,439,447,459,473,486,506,516,526,536,547,556,568,584,593,605,624,638,654,668,685,708,724,746,765,779,800,818,839,864,885,903,916,936,970,998,1020,1040,1058,1081,1115,1144,1182,1201,1230,1261,1289,1317,1343,1363,1396,1426,1462,1493,1513,1543,1580,1615,1645,1673,1699,1732,1774,1807,1843,1888,1937,1976,2022,2067,2112,2167,2214,2263,2311,2350,2404,2456,2500,2546,2591,2638,2675,2719,2761,2799,2842,2888,2925,2961,3009,3061,3099,3143,3191,3249,3298,3354,3414,3473,3529,3584,3646,3714,3785,3852,3920,4016,4105,4196,4329,4445,4557,4685,4782,4896,5007,5140,5256,5354,5474,5588,5706,5850,5991,6114,6219,6344,6479,6617,6761,6887,7004,7136,7282,7419,7571,7723,7881,8019,8164,8292,8452,8590,8736,8902,9057,9203,9368,9518,9677,9841,10035,10213,10395,10591,10803,10988,11205,11423,11631,11807,12008,12245,12499,12717,12933,13156,13383,13617,13865,14118,14350,14577,14826,15055,15316,15576,15796,16068,16355,16626,16895,17176,17456,17729,17986,18250,18539,18822,19114,19446,19769,20110,20445,20768,21141,21505,21868,22223,22581,22957,23349,23716,24121,24559,24965,25385,25823,26240,26664,27123,27560,28015,28437,28897,29347,29797,30276,30745,31264,31743,32230,32698,33250,33802,34303,34786,35309,35852,36370,36860,37453,38031,38567,39118,39697,40318,40915,41527,42106,42746,43406,44039,44708,45406,46070,46747,47452,48173,48927,49660,50495,51274,52059,52822,53649,54485,55307,56172,57073,57951,58844,59784,60695,61636,62687,63693,64664,65683,66742,67784,68885,70031,71123,72235,73393,74597,75783,76972,78252,79513,80828,82178,83522,84968,86412,87923,89473,90983,92527,94123,95818,97477,99153,100921,102661,104514,106336,108190,109984,111831,113712,115638,117528,119500,121515,123557,125582,127775,129906,132209,134472,136734,139079,141399,143906,146523,149175,151906,154711,157474,160398,163300,166306,169331,172448,175601,178759,181934,185096,188351,191681,195036,198478,201885,205375,208965,212567,216179,219976,223746,227484,231486,235410,239386,243402,247558,251763,256098,260470,264893,269363,274025,278848,283550,288303,293306,298277,303627,308917,314243,319547,324869,330269,335831,341492,347370,353158,359059
1,1,1,1,1,1,1,2,2,2,3,3,4,5,6,6,6,6,7,7,9,10,11,11,14,15,16,17,18,18,19,20,22,24,25,26,28,30,32,33,34,35,36,36,39,39,40,43,43,43,44,47,47,49,50,52,52,54,55,60,60,60,64,69,70,74,77,79,79,79,79,82,84,85,86,88,91,93,93,97,99,100,103,104,104,104,108,110,110,113,115,116,117,119,120,121,121,122,122,122,122,122,122,123,123,125,125,125,127,127,127,128,129,129,129,129,129,129,129,129,132,136,138,140,142,151,155,161,169,178,189,201,217,236,252,272,288,308,324,345,365,382,400,421,444,458,475,492,516,535,560,591,619,643,669,696,717,748,784,825,861,896,933,987,1040,1078,1140,1190,1258,1318,1372,1435,1495,1556,1627,1695,1774,1869,1959,2054,2147,2227,2327,2410,2491,2592,2675,2774,2897,2986,3073,3153,3238,3333,3410,3499,3599,3693,3803,3894,4023,4133,4237,4360,4487,4627,4760,4893,5019,5147,5281,5416,5559,5696,5830,5954,6110,6262,6409,6585,6758,6927,7081,7228,7391,7549,7720,7906,8098,8289,8486,8680,8837,9020,9223,9395,9581,9770,9965,10194,10433,10640,10869,11076,11316,11525,11747,11970,12176,12414,12636,12858,13108,13331,13552,13777,14041,14289,14517,14760,15022,15304,15582,15848,16140,16456,16739,17094,17409,17748,18099,18426,18793,19151,19494,19875,20231,20610,20979,21353,21715,22113,22522,22894,23310,23720,24146,24581,25016,25521,26016,26487,27024,27550,28041,28603,29161,29769,30375,31074,31728,32414,33150,33844,34596,35388,36188,37019,37883,38742,39619,40458,41338,42227,43153,44063,44989,45995,46950,47930,48953,49952,50949,51953,53011,54089,55122,56162,57337,58457,59600,60723,61846,63017,64113,65233,66398,67586,68785,69962,71132,72403,73630,74879,76138,77452,78799,80198,81616,83085,84522,86097,87638,89237,90855,92530,94255,95950,97677,99453,101265,103130,105104,107091,109148,111231,113412,115564,117841,120132,122483,124880,127337,129850,132339,135016,137672,140271,142965,145831,148644,151634,154730,157903,161107,164402,167773,171206,174836,178382,182053,185750,189519,193420,197386,201431,205310,209430,213641,217791,222119,226394,230819,235492,240173,244815,249531,254616,259566,264632,269821,275118,280622,286165,291898,297651,303628,309728,315877,322234,328729,335420,342035,348910,355818,362837,369923,377097,384322,391588,398994,406518,414147,421813,429499,437400,445469,453382,461517,469589,477773,485896,494230,502856,511398,519944,528745,537696,546740,556105,565681,575130,584630,594417,604354,614439,624614,634916,645228,655809,666605,677483,688509,699934,711331,722925,734722,746817,759025,771469,784013,796862,809737,822730,836084,849458,862799,876261,889901,903480,917392,931334,945488,959891,974191,988725,1003701,1018962,1033816,1049018,1064430,1080194,1095979,1111918,1128130,1144338,1160886
1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,5,8,9,11,11,11,11,11,15,17,19,21,21,21,22,23,25,26,26,26,26,29,31,36,36,37,38,39,39,42,44,46,48,51,56,59,62,66,66,69,71,77,81,83,86,90,94,97,98,107,110,111,116,120,122,125,127,131,135,138,141,141,144,144,148,150,152,158,161,162,167,170,171,172,174,175,176,177,180,181,185,189,190,191,191,195,198,199,200,202,204,205,206,207,210,210,212,215,215,216,219,225,228,230,233,235,237,239,240,241,241,242,242,243,243,244,245,246,248,250,252,253,254,255,256,258,259,260,261,261,262,262,263,263,263,265,268,268,268,269,270,271,271,272,272,272,275,277,278,278,278,279,279,283,285,286,289,290,291,293,296,298,298,298,303,304,304,308,309,310,313,316,319,321,326,333,334,335,340,345,350,353,357,363,364,368,370,374,379,385,389,396,402,406,410,417,425,428,438,446,449,452,456,458,464,469,474,479,481,486,493,495,499,504,512,519,527,538,543,548,551,556,558,564,572,577,583,584,596,604,611,617,632,636,649,656,670,683,695,706,717,734,743,759,769,780,793,801,808,822,836,849,857,868,884,910,922,939,954,968,985,998,1014,1033,1043,1059,1077,1098,1112,1138,1159,1180,1197,1220,1233,1254,1272,1289,1314,1331,1352,1374,1385,1415,1434,1452,1485,1499,1520,1536,1557,1575,1601,1618,1640,1661,1684,1711,1736,1758,1793,1819,1847,1869,1898,1922,1948,1967,1991,2014,2044,2064,2090,2108,2138,2166,2187,2202,2229,2255,2278,2297,2318,2337,2356,2377,2396,2413,2437,2452,2473,2493,2513,2541,2564,2579,2597,2611,2629,2656,2676,2700,2731,2746,2758,2773,2797,2818,2840,2857,2875,2898,2912,2929,2956,2982,3007,3032,3069,3092,3128,3155,3179,3204,3229,3261,3288,3318,3353,3389,3427,3461,3499,3532,3569,3607,3656,3692,3727,3768,3800,3838,3862,3897,3937,3979,4039,4082,4129,4187,4250,4302,4365,4419,4484,4557,4619,4680,4754,4826,4904,4990,5060,5129,5211,5291,5399,5505,5606,5706,5803,5909,5998,6111,6230,6370,6506,6659,6801,6942,7084,7226,7384,7508,7653,7815,7958,8113,8288,8450,8625,8799,8992,9167,9345,9533,9749,9982,10211,10430,10654,10864,11123,11348,11605,11852,12104,12388,12671,12962,13290,13621,13970,14298,14603,14943,15305,15633,15968,16320,16660,16999,17376,17720,18083,18458,18828,19159,19556,19961,20385,20802,21203,21621,22037,22513,22957
1,1,1,1,1,1,1,4,4,5,6,9,12,15,20,21,23,29,36,44,50,59,70,74,83,88,102,111,118,127,137,155,167,174,183,191,202,212,225,234,241,244,251,260,269,279,292,304,312,322,332,341,354,368,373,385,396,408,417,429,439,451,462,474,488,498,516,539,554,565,584,605,617,627,643,662,673,685,700,709,727,735,746,758,774,789,812,829,852,869,888,915,945,969,984,1008,1032,1064,1090,1110,1136,1154,1173,1197,1230,1260,1289,1321,1345,1374,1401,1425,1466,1489,1510,1530,1557,1575,1593,1607,1640,1667,1685,1707,1735,1748,1784,1800,1831,1854,1867,1885,1911,1938,1969,1990,2008,2033,2057,2079,2109,2136,2166,2184,2210,2230,2261,2289,2310,2335,2362,2388,2414,2436,2465,2496,2527,2553,2584,2610,2641,2665,2693,2717,2748,2769,2804,2833,2865,2905,2948,2988,3014,3054,3084,3138,3185,3232,3303,3359,3418,3470,3546,3618,3692,3757,3834,3922,4010,4115,4194,4266,4352,4451,4570,4664,4784,4901,5021,5127,5274,5408,5545,5657,5771,5899,6015,6137,6273,6407,6560,6712,6848,7024,7205,7399,7571,7765,7948,8171,8374,8579,8783,9011,9225,9445,9690,9903,10131,10396,10663,10897,11141,11385,11655,11899,12159,12449,12723,13016,13324,13638,13909,14223,14553,14884,15208,15603,15975,16412,16884,17363,17871,18412,18914,19437,20016,20638,21245,21904,22586,23287,23991,24710,25408,26200,27021,27818,28621,29498,30461,31448,32403,33363,34346,35337,36414,37417,38503,39605,40760,41860,43024,44205,45372,46549,47777,48983,50192,51441,52711,53966,55240,56555,57805,59226,60546,61927,63297,64656,66113,67601,68994,70480,71927,73414,74928,76451,78004,79606,81231,82838,84474,86203,87834,89540,91343,93184,95058,96884,98719,100611,102474,104391,106332,108427,110452,112640,114788,116935,119168,121501,123916,126286,128751,131180,133675,136173,138760,141477,144160,146925,149702,152706,155676,158715,161808,164944,168192,171449,174759,178213,181732,185253,188828,192418,196093,199915,203677,207586,211547,215624,219649,223855,228206,232610,237144,241741,246284,250904,255663,260431,265345,270312,275382,280442,285709,291114,296529,302184,307842,313597,319436,325496,331592,337799,343913,350269,356714,363228,369836,376661,383670,390623,397697,404754,412035,419298,426671,433998,441492,449233,457094,464956,473022,481184,489515,497977,506476,515284,524254,533073,542325,551684,560926,570466,580018,589846,599729,609626,619637,630045,640751,651294,661978,672669,683497,694694,705931,717475,728871,740410,752141,764188,776122,788385,800670,813125,825580,838427,851206,864282,877465,890762,904220,917875,931573,945369,959423,973668,988025,1002728,1017466,1032190,1047229,1062453,1077878,1093615,1109391,1125383,1141290,1157400,1173837,1190264,1207029,1223870,1240713,1257804,1275302,1292458,1309971,1327723,1345489,1363539,1381647,1400062,1418613,1437218,1455752,1474499,1493402,1512604,1531926,1551336,1571253,1591349,1611372,1631569,1651565,1672157,1692790,1713397,1734204,1755277,1776204,1797187,1818672
1,1,2,2,3,6,8,8,12,14,19,24,28,36,40,42,44,46,53,61,66,69,76,82,88,92,99,105,112,116,122,131,139,150,155,164,173,181,189,194,204,205,211,215,227,232,243,251,259,269,276,290,295,300,308,315,320,324,331,342,347,357,371,378,385,388,392,395,401,405,413,421,428,437,443,448,456,463,470,476,484,490,494,502,513,522,538,548,559,569,581,588,601,616,633,640,655,669,681,692,704,713,724,738,749,757,771,780,785,791,811,828,846,866,877,896,912,928,943,962,980,1008,1027,1050,1080,1116,1148,1178,1215,1251,1289,1331,1376,1419,1474,1518,1565,1601,1631,1674,1712,1750,1777,1818,1851,1888,1927,1959,1992,2025,2049,2080,2114,2147,2186,2205,2246,2280,2329,2355,2380,2408,2438,2463,2496,2519,2551,2579,2610,2645,2677,2712,2739,2782,2810,2850,2881,2918,2953,2990,3028,3065,3107,3146,3193,3223,3265,3307,3356,3412,3460,3510,3559,3626,3666,3712,3762,3824,3871,3933,3986,4037,4093,4153,4223,4278,4340,4403,4437,4494,4548,4587,4650,4701,4757,4804,4856,4915,4971,5020,5095,5157,5216,5292,5361,5429,5479,5535,5606,5651,5724,5787,5850,5914,5979,6027,6092,6168,6219,6279,6339,6390,6455,6508,6568,6620,6664,6714,6773,6823,6885,6956,7023,7080,7153,7217,7287,7347,7423,7477,7557,7627,7688,7751,7814,7889,7966,8040,8107,8170,8253,8333,8417,8497,8582,8681,8757,8823,8908,8984,9088,9163,9251,9330,9417,9510,9594,9703,9783,9895,10003,10109,10216,10325,10436,10554,10673,10786,10923,11067,11201,11373,11510,11656,11809,11963,12111,12260,12403,12560,12746,12915,13092,13279,13451,13604,13759,13934,14109,14284,14479,14669,14852,15029,15201,15381,15587,15773,15968,16173,16382,16598,16845,17107,17357,17630,17881,18196,18527,18894,19238,19606,19966,20377,20748,21188,21631,22074,22492,22882,23347,23816,24247,24734,25178,25655,26138,26602,27106,27624,28140,28717,29300,29849,30468,31035,31706,32347,32973,33613,34296,34977,35659,36382,37062,37775,38452,39191,39951,40711,41466,42260,42941,43714,44553,45281,46142,46986,47805,48646,49458,50367,51256,52160,53133,54147,55149,56136,57212,58247,59239,60151,61206,62198,63270,64308,65355,66421,67483,68540,69611,70724,71863,73058,74261,75476,76631,77869,79173,80507,81849,83191,84582,85996,87361,88729,90171,91746,93183,94749,96258,97812,99367,100979,102671,104317,106026,107752,109457,111210,112985,114815,116607,118516,120408,122319,124256,126226,128239,130254,132398,134540,136634,138923,141171,143476,145721,148199,150572,153071,155533,158057,160713,163339,165968,168685,171430,174200,176989,179812,182785,185651,188716,191793,194899,197968,201118,204316,207618,210976,214360,217893,221326,224922,228468,232254,236051,239805,243704,247639,251749,255821,259976,264305,268654,273164,277668
1,1,1,1,1,1,3,5,6,7,7,8,9,11,13,13,13,13,13,13,13,13,16,17,19,20,22,24,26,29,31,37,38,42,45,49,51,55,60,61,64,67,73,82,85,88,93,99,107,114,117,125,129,131,136,140,147,161,170,180,191,196,206,220,227,235,243,253,265,274,285,292,304,315,320,330,342,355,361,375,396,408,423,449,470,490,509,525,545,571,610,639,669,703,730,762,787,812,843,869,894,912,930,968,990,1014,1033,1058,1081,1102,1130,1146,1177,1210,1235,1264,1292,1334,1368,1408,1448,1480,1531,1575,1633,1688,1739,1790,1848,1899,1971,2035,2096,2158,2236,2305,2367,2431,2492,2542,2618,2683,2740,2789,2862,2915,3003,3076,3149,3213,3301,3370,3438,3512,3575,3662,3747,3840,3933,4014,4105,4200,4293,4386,4513,4615,4719,4840,4935,5035,5135,5251,5374,5486,5611,5726,5836,5944,6063,6195,6331,6460,6593,6715,6841,6983,7106,7247,7407,7553,7704,7847,8025,8189,8356,8523,8708,8878,9079,9269,9448,9634,9802,10006,10193,10405,10599,10831,11029,11248,11473,11705,11929,12141,12351,12600,12822,13071,13295,13529,13788,14025,14272,14516,14754,15018,15265,15501,15767,16035,16306,16578,16928,17271,17567,17883,18281,18603,18972,19430,19832,20318,20754,21265,21703,22188,22653,23132,23608,24110,24611,25129,25656,26204,26765,27286,27890,28448,29049,29706,30344,30994,31720,32450,33156,33913,34671,35453,36289,37075,37885,38736,39668,40514,41364,42299,43278,44239,45208,46216,47221,48238,49344,50371,51503,52589,53677,54789,55983,57164,58347,59546,60709,61909,63134,64368,65590,66857,68187,69505,70864,72278,73686,75211,76723,78273,79865,81435,83151,84784,86496,88274,90099,91971,93743,95644,97518,99394,101410,103449,105425,107442,109477,111555,113642,115745,117768,119886,121910,124028,126176,128282,130525,132750,134996,137307,139663,141971,144348,146659,149051,151490,153920,156395,158954,161431,163866,166401,168874,171500,174137,176802,179514,182263,185116,187856,190715,193563,196490,199465,202407,205276,208298,211430,214691,217847,221068,224457,227836,231497,234912,238668,242341,246025,249799,253676,257558,261465,265474,269675,273871,278119,282468,286876,291152,295434,299858,304394,308886,313519,318223,322933,327727,332457,337282,342219,347233,352419,357606,362804,368138,373446,379052,384620,390301,396299,402230,408238,414308,420478,426705,433023,439387,446023,452693,459473,466364,473370,480567,487830,495088,502640,510087,517757,525419,533350,541295,549433,557507,565767,574060,582559,591141,599939,608670,617491,626518,635686,644915,654322,663722,673248,683001,692726,702618,712662,722811,732899,743122,753524,764274,774936,785675,796714,807944,819163,830486,841879,853347,865194,877142,889207,901186,913238,925600,938135,950620,963358,976166,988952,1002102,1015298,1028460,1042090,1055788,1069753,1083849,1098123,1112316,1126763,1141209,1155903,1170766,1185950,1201345,1216885,1232550,1248109,1263733,1279890,1295937,1312137,1328571,1344792,1361477,1377941,1394734
1,1,1,1,1,1,3,5,5,5,7,8,9,9,12,13,14,18,24,27,29,31,35,41,44,49,56,66,68,77,83,90,98,105,106,109,115,120,126,135,140,142,154,167,171,179,184,195,204,212,226,235,249,262,275,285,297,301,304,311,329,345,363,381,404,416,434,459,478,498,523,545,557,581,595,620,639,663,692,714,735,764,793,814,835,860,886,903,923,946,972,1001,1023,1059,1085,1103,1126,1157,1193,1214,1243,1279,1313,1355,1395,1423,1452,1482,1526,1579,1609,1649,1689,1732,1756,1800,1844,1885,1929,1986,2042,2091,2144,2184,2231,2287,2346,2408,2469,2527,2586,2644,2712,2786,2848,2911,2970,3042,3113,3173,3233,3293,3367,3449,3517,3589,3643,3712,3789,3863,3933,3999,4078,4148,4218,4282,4336,4397,4463,4534,4605,4678,4750,4816,4880,4950,5008,5092,5172,5248,5331,5430,5524,5614,5702,5804,5893,5950,6032,6117,6193,6289,6385,6476,6569,6680,6763,6836,6938,7039,7145,7255,7373,7482,7593,7713,7835,7954,8063,8200,8343,8480,8609,8753,8896,9036,9195,9334,9499,9642,9793,9941,10108,10278,10446,10656,10832,10994,11181,11378,11550,11775,11992,12218,12460,12672,12915,13176,13424,13681,13971,14270,14557,14854,15176,15487,15799,16102,16424,16775,17121,17477,17795,18122,18491,18872,19237,19603,19980,20334,20690,21113,21528,21918,22349,22761,23162,23568,24018,24494,24973,25484,26004,26522,27026,27603,28126,28708,29305,29934,30561,31246,31946,32645,33396,34118,34878,35629,36415,37185,37990,38783,39562,40435,41276,42154,43050,43998,44978,45921,46938,48014,49130,50312,51446,52682,53931,55242,56586,57905,59200,60582,61921,63317,64724,66178,67715,69222,70729,72287,73991,75643,77229,78994,80800,82648,84563,86543,88530,90544,92511,94612,96658,98745,100866,103026,105251,107512,109839,112095,114491,116919,119318,121755,124259,126735,129312,131918,134565,137340,140117,142991,145943,148930,151822,154825,157926,161034,164083,167291,170513,173832,177239,180640,184086,187590,191044,194674,198388,202282,206079,209949,213994,218022,221998,226148,230294,234545,238923,243300,247636,252197,256751,261508,266284,271164,276023,281022,286081,291360,296649,302043,307751,313358,319148,325106,331197,337267,343307,349461,355708,362016,368340,374846,381426,388105,394887,401726,408735,415956,423250,430591,438043,445665,453405,461076,468945,476797,485033,493224,501510,510045,518667,527413,536080,544976,553927,563010,572149,581517,590967,600480,610225,620006,629785,639793,649830,660194,670613,681254,691955,702755,713662,724821,736240,747594,759098,770934,782760,795019,807376,819668,832428,845023,857893,871114,884491,898141,912195,926426,940818,955281,970133,984993,1000311,1015562,1031266,1046987,1062799,1078962,1095346,1111850,1128456,1145245,1162165,1179302,1196702,1214447,1232260,1250245,1268330,1286550,1305032,1323559,1342316,1361263,1380351,1399568,1419017,1438700,1458591,1478805,1498696,1518917,1539200,1560011,1580700,1601769,1622629,1643722,1665051,1686351,1707398,1728864,1750352,1771879,1793681
1,1,1,1,2,4,5,7,8,9,9,11,11,12,12,12,14,15,17,20,23,25,27,28,29,32,35,37,38,38,39,44,44,48,48,52,55,58,60,65,66,69,71,76,81,89,94,96,100,104,110,117,118,122,124,126,129,134,137,141,144,145,149,151,154,159,160,160,160,161,165,166,167,174,175,181,182,182,183,183,184,184,185,185,185,188,190,195,195,196,196,196,197,199,201,202,205,206,212,217,223,227,227,234,236,238,240,243,247,251,255,264,271,277,285,287,289,292,292,297,300,304,314,321,324,331,339,346,352,359,369,378,386,393,402,413,422,434,442,455,467,482,499,518,536,549,569,587,607,626,642,664,693,715,740,758,787,813,835,867,893,924,950,974,1012,1045,1080,1119,1155,1197,1232,1285,1325,1376,1418,1468,1527,1597,1660,1734,1801,1870,1947,2033,2118,2201,2300,2392,2505,2618,2734,2837,2956,3077,3218,3343,3499,3691,3886,4075,4310,4537,4768,4968,5208,5458,5737,6022,6295,6553,6854,7145,7442,7753,8101,8432,8774,9157,9559,9937,10309,10700,11069,11452,11884,12266,12630,13014,13436,13861,14320,14791,15241,15750,16252,16696,17209,17731,18268,18797,19360,19991,20604,21223,21889,22522,23255,23904,24658,25436,26209,26987,27785,28624,29440,30317,31176,32114,33031,34037,34990,35908,36844,37865,38891,39896,40955,41984,43111,44280,45454,46621,47832,49037,50333,51574,52889,54270,55611,56956,58309,59753,61139,62623,64112,65631,67174,68704,70343,71984,73674,75429,77221,79017,80928,82787,84735,86738,88737,90774,92811,94868,97013,99274,101452,103690,105893,108132,110422,112663,115018,117298,119672,122020,124457,126963,129497,132062,134661,137310,140007,142745,145487,148152,151013,153946,156875,159911,162964,166102,169223,172385,175647,178998,182545,186056,189656,193215,196820,200528,204194,207998,211916,215799,219687,223697,227743,231961,236147,240373,244693,249173,253888,258588,263130,267858,272707,277648,282666,287633,292734,297943,303240,308561,314117,319625,325280,331158,336969,342790,348772,354956,361124,367607,374162,380893,387793,394729,401827,408945,416275,423551,431287,439071,446822,454685,462494,470618,478824,487216,495829,504492,513199,522203,531231,540405,549822,559366,569064,578684,588315,598170,608259,618378,628671,638982,649305,659937,670589,681511,692427,703596,714845,725905,737469,748945,760734,772353,784372,796560,808760,821280,834043,846860,859753,872718,885892,899298,912837,926483,940180,953958,968139,982236,996593,1010967,1025647,1040500,1055160,1070413,1085886,1101539,1117082,1133001,1149124,1165257,1181885,1198323,1215228,1232069,1249043,1266310,1283883,1301340,1318958,1336770,1354600,1372811,1391290,1409652,1428342,1447065,1465928,1484904,1503930,1523201,1542336,1561473,1580909,1600553,1620371,1640534,1660557,1680923,1701386,1722086,1742901,1764051,1785057,1806585,1828299,1849902,1871950,1893836,1915971,1938387,1960941,1983193,2006146,2028749,2051654,2074964,2098182,2121291,2144665,2168160,2192082
1,1,1,1,2,4,4,4,5,8,8,10,11,13,17,19,20,28,35,40,45,50,55,58,61,61,65,66,68,74,76,81,85,85,89,93,97,103,109,111,116,119,124,131,136,140,147,153,155,162,165,170,174,184,190,197,204,209,219,226,239,246,253,259,271,276,283,289,294,305,313,322,332,339,346,352,364,373,377,384,388,397,402,407,416,420,425,428,434,440,443,451,455,459,463,475,480,489,493,496,498,503,511,521,528,535,540,547,556,564,567,571,576,581,590,603,611,616,628,632,645,652,663,675,690,696,710,720,730,748,771,799,814,836,853,869,892,915,945,968,985,1005,1030,1047,1074,1107,1128,1147,1178,1217,1248,1280,1320,1363,1408,1463,1506,1555,1617,1686,1768,1834,1901,1996,2077,2157,2240,2329,2434,2526,2642,2735,2841,2946,3063,3160,3287,3402,3534,3659,3766,3894,4026,4158,4290,4413,4563,4713,4861,4981,5140,5269,5399,5553,5707,5864,6035,6182,6326,6503,6660,6794,6946,7130,7283,7455,7607,7761,7923,8094,8274,8476,8658,8838,9024,9211,9429,9644,9875,10083,10309,10533,10771,11009,11255,11502,11764,12034,12306,12587,12899,13195,13479,13779,14118,14447,14817,15202,15597,16008,16400,16782,17151,17531,17932,18360,18749,19167,19619,20065,20513,20927,21327,21758,22224,22704,23208,23728,24245,24745,25244,25794,26328,26843,27365,27906,28427,28886,29415,29898,30438,30962,31523,32050,32618,33252,33900,34572,35225,35925,36610,37313,38063,38829,39604,40384,41223,42056,42894,43821,44712,45594,46517,47378,48232,49149,50092,51064,51974,52883,53799,54775,55716,56723,57697,58629,59614,60585,61639,62648,63649,64704,65724,66778,67813,68913,69980,71094,72208,73323,74383,75566,76791,77914,79105,80349,81656,82933,84295,85597,86960,88423,89775,91210,92704,94154,95605,97141,98735,100344,101958,103581,105279,106965,108666,110445,112269,114173,116043,117899,119889,121795,123778,125709,127785,129852,131987,134056,136319,138538,140710,143006,145356,147675,150103,152647,155137,157634,160104,162765,165355,168048,170769,173537,176389,179278,182259,185235,188388,191655,194842,198178,201453,204983,208497,212048,215764,219462,223182,227049,230962,234877,238827,242848,246980,251151,255454,259919,264446,269151,273823,278458,283278,288174,293157,298328,303441,308423,313644,318972,324361,329864,335450,340947,346620,352464,358297,364432,370588,376859,383284,389861,396639,403381,410268,417369,424502,431925,439362,446721,454160,461883,469670,477771,485858,494149,502433,510912,519551,528194,536965,545829,554756,563697,572972,582176,591476,600730,610115,619788,629497,639436,649483,659550,669813,680168,690774,701439,712553,723646,734787,746220,758068,769969,781849,794051,806375,818708,831232,843961,857003,870078,883287,896759,910159,923850,937637,951738,965814,979700,994033,1008509,1023024,1037773,1052745,1067750,1082832,1098079,1113486,1129208,1145118,1161232,1177717,1194241,1211052,1227965,1245329
1,1,1,1,3,5,6,8,9,9,10,10,10,10,10,10,10,10,10,10,11,13,14,14,14,14,14,15,16,18,22,26,26,27,30,30,30,31,32,34,37,38,40,42,42,45,45,47,49,52,53,55,57,59,62,62,62,64,67,70,71,73,77,78,81,85,87,92,98,103,107,110,113,114,119,123,128,134,138,142,144,148,149,157,158,158,159,161,162,164,166,173,178,182,186,187,193,195,197,201,202,204,206,208,212,216,221,222,223,223,224,226,231,235,237,241,247,249,261,264,271,284,294,303,316,328,342,356,374,390,401,409,427,449,466,491,514,531,549,568,592,612,637,651,669,686,709,727,750,777,807,824,843,873,901,925,962,1004,1032,1064,1103,1145,1183,1230,1264,1301,1355,1405,1448,1501,1551,1621,1680,1751,1812,1871,1935,1990,2051,2115,2177,2251,2323,2401,2475,2562,2645,2737,2812,2894,2979,3076,3169,3262,3404,3531,3669,3822,3972,4145,4314,4514,4739,4959,5215,5452,5727,6008,6244,6498,6755,7009,7284,7509,7764,8028,8297,8581,8872,9141,9420,9686,9943,10213,10538,10864,11177,11501,11820,12143,12452,12760,13088,13434,13812,14226,14580,14962,15348,15739,16138,16547,16974,17384,17810,18236,18647,19071,19554,20019,20465,20922,21374,21819,22237,22739,23217,23717,24189,24672,25142,25650,26164,26697,27206,27716,28257,28820,29398,29957,30513,31102,31680,32310,32926,33565,34208,34863,35501,36107,36781,37423,38074,38761,39389,40065,40732,41414,42115,42883,43613,44377,45175,45964,46772,47569,48332,49160,49995,50811,51724,52589,53463,54327,55181,56084,57012,57955,58830,59789,60815,61749,62722,63723,64721,65831,66885,67937,69134,70313,71538,72799,74088,75407,76688,78018,79440,80820,82216,83678,85176,86693,88281,89914,91539,93284,95081,96849,98620,100473,102396,104315,106218,108216,110209,112106,114100,116094,118227,120324,122483,124612,126812,129084,131457,133793,136121,138564,140944,143436,145996,148596,151278,154004,156788,159546,162434,165336,168238,171316,174449,177554,180784,184036,187368,190806,194313,197849,201354,205047,208758,212517,216227,220186,224119,228118,232206,236303,240506,244883,249367,253917,258533,263256,268016,272937,277955,283115,288358,293672,299122,304738,310325,316152,321909,327837,333797,339849,346019,352391,358738,365280,371794,378409,385174,392015,398939,406004,413070,420217,427611,435017,442593,450282,458014,465861,473818,481799,490022,498490,506977,515637,524510,533506,542632,551951,561449,570995,580653,590542,600662,610752,621135,631929,642710,653676,664873,676200,687644,699308,710808,722664,734719,746906,759335,771907,784936,797976,810959,824171,837586,851093,864828,878391,892481,906636,920936,935360,949904,964370,979237,994152,1009281,1024698,1040058,1055709,1071720,1087942,1104502,1121014,1137705,1154175,1170954,1187906,1204897,1222152,1239644,1257173,1274959,1292759,1310651,1329066,1347263,1365783,1384238,1402932,1421781
1,1,1,1,2,3,5,6,8,8,12,14,16,18,21,23,25,27,30,36,40,44,46,49,55,63,66,69,72,78,83,91,95,104,116,122,128,133,137,141,149,154,155,164,172,177,186,194,200,205,209,216,221,223,236,246,254,262,278,289,296,307,318,330,346,359,372,383,392,403,414,430,442,459,475,492,504,518,533,555,567,583,593,606,624,644,660,673,686,702,718,736,755,775,798,824,840,864,883,898,924,932,949,975,992,1006,1023,1056,1087,1110,1132,1155,1181,1209,1232,1262,1297,1320,1358,1381,1401,1427,1469,1504,1536,1572,1602,1636,1672,1705,1730,1760,1795,1826,1855,1889,1919,1946,1972,1999,2024,2052,2089,2110,2143,2181,2202,2233,2257,2276,2313,2336,2375,2409,2441,2466,2509,2568,2620,2673,2740,2827,2905,2996,3104,3208,3324,3447,3547,3654,3762,3871,3981,4089,4194,4302,4416,4546,4639,4754,4871,5016,5167,5329,5495,5633,5812,5977,6149,6331,6498,6670,6859,7045,7237,7427,7669,7872,8093,8327,8533,8739,8954,9174,9404,9646,9877,10117,10334,10577,10802,11042,11247,11462,11669,11891,12121,12368,12617,12888,13182,13449,13773,14109,14442,14782,15092,15437,15803,16192,16530,16875,17259,17588,17933,18313,18724,19123,19542,19966,20411,20871,21337,21800,22291,22795,23271,23818,24334,24891,25422,25973,26497,27058,27669,28257,28851,29477,30052,30649,31289,31981,32605,33263,33918,34589,35310,36044,36762,37480,38189,38965,39748,40468,41217,42051,42912,43712,44503,45293,46089,46901,47796,48633,49474,50394,51352,52254,53266,54249,55261,56254,57306,58316,59369,60442,61519,62554,63634,64743,65887,67103,68336,69635,70859,72109,73441,74848,76248,77632,79044,80565,82013,83538,85045,86660,88266,89864,91426,93096,94776,96431,98308,100165,102145,104135,106204,108377,110570,112779,115015,117250,119593,122078,124515,126939,129484,132079,134684,137234,139950,142591,145248,147905,150666,153489,156383,159417,162407,165471,168540,171907,175275,178722,182186,185594,189121,192658,196239,199974,203746,207531,211298,215229,219061,223121,227235,231368,235523,239811,244156,248518,253009,257607,262220,266897,271765,276684,281624,286651,291757,296941,302095,307448,312694,318220,323686,329143,334642,340362,346300,352107,358090,364120,370271,376615,383001,389392,395887,402450,409083,415601,422216,429090,436039,443198,450212,457234,464564,471658,479032,486451,493841,501353,508896,516620,524385,532206,540255,548413,556432,564751,573008,581544,590169,598989,607921,616807,625944,635285,644667,654155,663847,673539,683570,693947,704374,714950,725657,736360,747153,758296,769592,780983,792585,804426,816389,828586,840865,853386,866133,878923,891736,904942,918222,931781,945532,959310,973368,987712,1002123,1016524,1031357,1046199,1061415,1076810,1092450,1107834,1123543,1139541,1155440,1171560,1187732,1203984,1220333,1236962,1253566,1270185,1287234,1304182,1321376,1338430,1355699,1373054,1390799,1408368,1426110,1443839,1461844,1479768,1497841,1516018,1534410,1553064,1571552,1590251,1608988
1,1,1,1,2,2,3,4,5,5,5,5,5,5,7,10,11,13,14,16,16,17,18,20,21,21,21,22,22,23,23,24,28,28,28,32,38,39,41,44,44,50,50,52,54,55,59,65,71,79,84,91,96,102,109,113,123,132,137,146,157,163,168,181,186,191,201,205,214,216,225,234,241,250,257,264,266,273,276,282,292,298,304,310,313,315,328,332,336,342,351,355,361,366,368,375,381,384,390,395,403,409,416,428,436,444,451,456,461,465,469,475,478,480,484,490,496,501,504,507,518,522,528,532,537,537,539,541,548,554,555,557,560,563,566,571,575,576,581,584,589,594,599,607,621,629,638,644,651,658,665,672,677,685,698,704,721,728,739,745,751,758,762,765,774,786,793,798,803,813,818,825,833,839,848,858,864,872,883,894,908,921,931,939,954,961,973,981,998,1014,1028,1036,1041,1050,1066,1070,1079,1087,1096,1112,1124,1134,1143,1151,1166,1175,1181,1190,1196,1207,1213,1218,1226,1244,1250,1259,1269,1276,1285,1291,1300,1315,1324,1330,1341,1355,1364,1376,1382,1392,1403,1415,1424,1438,1443,1449,1458,1466,1474,1484,1497,1504,1510,1519,1524,1529,1535,1540,1546,1552,1556,1564,1571,1579,1584,1593,1602,1613,1619,1628,1640,1644,1652,1664,1675,1686,1696,1703,1709,1724,1735,1745,1764,1777,1790,1805,1824,1841,1857,1876,1897,1919,1933,1942,1962,1987,2012,2027,2048,2068,2096,2123,2151,2166,2188,2205,2227,2243,2263,2290,2311,2337,2353,2376,2403,2427,2455,2479,2498,2523,2555,2578,2622,2662,2690,2720,2750,2778,2828,2882,2943,3012,3084,3171,3241,3317,3370,3464,3535,3601,3676,3762,3821,3900,3966,4051,4132,4220,4293,4381,4461,4571,4673,4793,4903,5012,5127,5220,5348,5475,5588,5704,5826,5951,6086,6201,6322,6420,6550,6661,6791,6914,7039,7173,7290,7396,7508,7624,7756,7876,8011,8138,8281,8407,8527,8652,8779,8897,9020,9134,9275,9417,9557,9669,9804,9926,10069,10212,10371,10542,10687,10867,11045,11236,11421,11663,11878,12089,12308,12544,12805,13026,13309,13582,13865,14162,14453,14741,15064,15385,15741,16125,16500,16879,17296,17708,18117,18531,18993,19467,19953,20438,20939,21457,21993,22513,23031,23538,24106,24708,25338,25997,26647,27341,27990,28698,29381,30122,30813,31544,32327,33063,33918,34675,35500,36340,37144,37987,38816,39757,40686,41576,42492,43445,44437,45443,46473,47551,48647,49801,50907,52117,53412,54674,55945,57231,58632,60006,61415,62804,64241,65621,67196,68700,70221,71774,73400,75080,76743,78498,80130,81925,83753,85560,87393,89230,91132,93083,94970,96887,98782,100731,102745,104745,106865,108980,111150
1,1,1,1,2,2,2,2,2,2,3,4,5,7,8,9,9,9,9,10,11,13,13,14,14,15,15,17,19,19,21,23,26,28,30,31,34,36,39,43,47,50,53,54,57,59,60,63,66,68,71,71,73,73,75,76,78,80,85,89,90,92,95,95,95,96,98,101,101,102,105,107,107,108,108,111,113,113,116,121,122,124,124,126,128,128,130,131,131,131,132,133,134,135,136,138,139,139,141,143,146,147,149,149,149,150,151,152,155,156,160,165,165,166,167,170,175,177,181,184,188,192,199,205,210,213,218,223,225,228,235,242,245,246,251,255,257,259,261,266,267,272,277,281,284,287,292,298,300,302,305,308,310,315,320,323,329,333,338,342,345,353,356,359,364,372,377,381,388,399,412,419,426,436,449,454,464,469,480,488,501,511,515,531,548,557,570,581,592,598,606,615,630,641,656,666,673,677,687,693,705,711,724,734,748,763,775,785,792,801,808,820,828,837,848,862,880,890,899,909,922,932,944,958,976,987,992,1005,1016,1026,1042,1055,1074,1091,1108,1121,1135,1156,1174,1195,1223,1241,1259,1281,1301,1319,1351,1376,1396,1426,1447,1464,1497,1525,1545,1570,1595,1617,1641,1663,1682,1708,1745,1771,1803,1841,1882,1925,1964,2005,2043,2083,2123,2162,2194,2228,2265,2312,2356,2391,2437,2472,2515,2541,2580,2643,2696,2748,2789,2857,2911,2966,3025,3085,3150,3208,3265,3339,3414,3488,3569,3650,3740,3829,3936,4040,4134,4215,4323,4427,4522,4631,4733,4854,4974,5103,5252,5385,5544,5699,5859,6027,6186,6358,6543,6750,6940,7166,7380,7600,7855,8078,8317,8558,8822,9109,9421,9713,10005,10306,10586,10873,11187,11483,11764,12098,12425,12774,13123,13463,13802,14124,14455,14771,15104,15430,15728,16052,16366,16704,17066,17383,17739,18118,18480,18852,19245,19612,20024,20464,20865,21282,21735,22162,22559,23010,23474,23928,24399,24881,25370,25884,26394,26921,27469,28069,28650,29272,29941,30640,31372,32105,32882,33729,34522,35405,36249,37182,38124,39036,40025,41020,42031,43020,44053,45127,46266,47379,48605,49856,51094,52335,53657,55064,56427,57877,59319,60816,62403,63911,65419,66898,68471,70110,71766,73436,75205,76955,78752,80528,82400,84341,86147,88057,90060,92107,94097,96123,98272,100376,102517,104690,106889,109168,111363,113711,116117,118513,121022,123568,126096,128768,131475,134227,136929,139721,142517,145372,148154,151118,154109,157084,160199,163291,166403,169511,172766,176046,179333,182706,186204,189708,193268,196984,200854,204778,208656,212801,216937,221276,225577,230000,234465,239033,243605,248331,253110,257877,262663,267637,272499,277605,282693,287858,293144,298472,303983
1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,8,9,11,11,11,11,11,12,12,13,14,15,16,21,23,26,27,28,30,32,34,34,36,38,40,43,46,48,50,53,53,55,56,56,59,60,65,71,74,77,82,86,91,95,100,105,114,123,131,138,147,155,166,179,188,198,201,207,212,218,224,228,232,238,242,247,253,256,261,269,269,277,282,286,290,301,306,311,317,324,329,334,338,345,350,353,360,366,378,384,391,396,406,413,421,427,434,441,453,462,470,473,480,482,489,499,514,523,536,545,555,564,569,576,587,596,603,608,617,628,632,635,647,656,662,673,681,684,693,700,709,717,723,728,735,741,752,756,765,768,771,774,778,791,799,804,807,809,812,816,829,837,841,850,862,868,875,887,892,900,912,930,941,949,959,973,982,991,1005,1020,1030,1042,1049,1065,1082,1098,1121,1136,1155,1185,1221,1251,1277,1310,1344,1375,1434,1510,1595,1715,1829,1953,2108,2259,2399,2573,2740,2925,3084,3249,3405,3536,3688,3828,3985,4127,4283,4494,4694,4911,5133,5325,5545,5745,5969,6185,6402,6611,6809,7011,7242,7460,7666,7856,8059,8247,8442,8636,8862,9021,9198,9387,9568,9776,10005,10241,10439,10667,10901,11152,11404,11644,11906,12171,12439,12693,12986,13312,13629,13951,14255,14569,14901,15220,15526,15886,16230,16559,16924,17266,17667,18023,18385,18759,19143,19529,19892,20266,20675,21079,21466,21890,22284,22688,23098,23541,23941,24396,24857,25272,25686,26124,26535,26984,27473,27938,28379,28825,29284,29748,30254,30724,31233,31723,32233,32726,33214,33726,34237,34723,35206,35693,36216,36760,37274,37797,38327,38872,39450,40010,40576,41140,41732,42276,42884,43467,44094,44706,45362,46014,46685,47395,48054,48725,49441,50240,50977,51771,52607,53380,54259,55114,55953,56845,57776,58600,59510,60423,61376,62305,63256,64152,65110,66040,66998,67997,69008,69973,70943,71980,73017,74082,75157,76252,77393,78543,79672,80876,82118,83418,84670,86018,87364,88730,90045,91493,92942,94437,95947,97450,99069,100711,102413,104157,105980,107796,109663,111473,113393,115320,117456,119666,121956,124193,126487,128837,131254,133671,136030,138477,140956,143491,146085,148723,151398,154087,156744,159533,162402,165357,168353,171326,174499,177661,180929,184172,187466,190866,194409,197993,201607,205261,208945,212609,216415,220222,224153,227984,231961,236050,240210,244357,248582,252743,257072,261416,265875,270458,275357,280111,285018,289883,294973,300093,305114,310405,315614,320893,326465,331954,337665,343449,349172,354961,360828,366920,373163,379425,385824,392376,399057,405799,412679,419659,426953,434113,441416,448756,456357,464092,471859,479922,487857,496024,504381,512717,521092
1,1,2,3,3,3,4,5,6,8,10,10,12,12,16,18,19,22,23,25,26,28,30,36,37,38,41,49,50,55,60,64,69,71,76,81,85,94,95,98,105,110,113,121,124,126,131,136,140,146,150,155,157,162,171,177,182,192,195,196,198,201,202,204,209,214,220,226,229,236,242,246,264,268,279,288,295,304,314,320,327,335,338,347,358,363,373,385,401,409,419,428,439,445,458,472,485,498,516,532,547,562,571,584,608,628,644,671,688,698,712,726,743,757,774,791,804,826,844,869,886,912,926,944,965,978,985,996,1009,1029,1043,1071,1083,1105,1126,1166,1197,1235,1275,1320,1359,1414,1476,1528,1590,1664,1747,1827,1900,1988,2078,2160,2241,2313,2375,2457,2546,2603,2669,2728,2786,2851,2924,2989,3061,3141,3215,3282,3346,3395,3455,3522,3601,3662,3722,3786,3862,3935,4012,4121,4213,4296,4403,4508,4614,4708,4794,4884,4977,5075,5196,5300,5394,5488,5600,5703,5792,5893,5978,6084,6173,6268,6366,6438,6537,6620,6737,6846,6948,7069,7165,7285,7390,7530,7646,7782,7915,8062,8183,8340,8500,8667,8864,9054,9243,9443,9642,9835,10037,10259,10495,10708,10954,11176,11420,11627,11860,12111,12355,12595,12848,13134,13394,13664,13945,14199,14451,14744,15045,15357,15670,16022,16322,16671,17023,17369,17703,18106,18483,18880,19280,19671,20085,20522,20985,21459,21889,22325,22818,23300,23795,24289,24773,25305,25835,26392,26940,27536,28169,28802,29455,30129,30763,31394,32063,32772,33435,34094,34867,35611,36369,37154,37934,38709,39505,40340,41139,42035,42910,43784,44702,45631,46508,47476,48435,49397,50383,51404,52468,53550,54676,55805,56956,58114,59329,60626,61898,63239,64574,65919,67276,68691,70097,71474,72914,74356,75919,77374,78872,80506,82077,83700,85358,87020,88650,90401,92091,93878,95619,97402,99208,101052,102965,104874,106855,108815,110882,112992,115199,117480,119700,122132,124572,127026,129517,132036,134655,137318,140057,142779,145670,148511,151476,154407,157421,160490,163561,166693,169886,173075,176339,179684,183091,186480,189947,193477,197061,200559,204203,207828,211465,215239,218943,222835,226747,230791,234951,239058,243191,247585,252046,256549,261042,265717,270310,274929,279736,284601,289433,294279,299363,304599,309908,315329,320929,326518,332227,338055,343992,349940,356071,362438,368864,375347,381927,388374,395108,401734,408608,415577,422541,429695,437018,444290,451692,459059,466457,474006,481579,489463,497121,504970,513069,521087,529224,537517,545876,554255,563098,571772,580519,589280,598379,607562,616801,626308,635948,645489,655319,665260,675294,685495,695887,706446,717341,728285,739489,750477,761752,773233,784955,796560,808578,820763,833190,845699,858211,870931,883866,896835,909861,923230,936663,950314,964146,978115,992104,1006442,1021034,1036238,1051232,1066260,1081388,1096834,1112390,1128455,1144308,1160595,1176837,1193318,1210036,1226766,1243738,1260740,1278264,1295581,1313445
1,1,1,2,3,7,7,8,8,8,10,14,15,16,18,19,22,24,26,26,32,36,40,40,42,45,51,57,62,65,70,76,78,83,87,93,98,101,105,110,119,126,135,137,142,148,152,162,167,174,180,185,187,192,197,203,208,223,230,232,243,250,257,265,279,283,288,294,302,312,324,333,343,349,358,362,369,381,392,410,424,435,454,469,494,513,533,547,568,583,600,628,644,668,687,701,718,733,756,776,792,812,830,845,867,881,904,923,944,954,968,982,1001,1023,1040,1059,1076,1096,1115,1131,1146,1166,1195,1218,1242,1263,1283,1305,1317,1334,1361,1392,1414,1435,1455,1469,1489,1515,1539,1561,1589,1614,1638,1661,1684,1701,1725,1754,1780,1801,1827,1846,1875,1896,1917,1941,1956,1975,1995,2015,2038,2065,2101,2129,2152,2182,2199,2223,2246,2268,2281,2302,2322,2330,2353,2370,2399,2417,2441,2458,2480,2498,2527,2544,2559,2584,2604,2629,2648,2680,2708,2739,2777,2812,2832,2860,2894,2928,2960,3011,3045,3075,3100,3138,3175,3218,3260,3301,3345,3398,3443,3506,3557,3610,3677,3722,3780,3836,3905,3951,4004,4080,4148,4206,4272,4337,4401,4463,4530,4604,4703,4777,4849,4923,5001,5097,5165,5248,5342,5447,5515,5619,5718,5809,5909,6024,6129,6239,6342,6457,6579,6695,6807,6913,7041,7198,7349,7479,7627,7774,7927,8092,8249,8409,8582,8778,8968,9145,9332,9522,9679,9853,10070,10267,10457,10645,10845,11043,11256,11483,11724,11967,12189,12421,12678,12918,13204,13502,13781,14067,14364,14673,14988,15381,15761,16179,16566,16991,17421,17859,18342,18833,19341,19850,20376,20930,21475,22083,22680,23331,23982,24716,25400,26131,26822,27561,28298,29032,29774,30551,31273,32071,32898,33735,34565,35403,36260,37152,38092,38972,39921,40875,41852,42853,43871,44953,46014,47230,48400,49572,50767,52003,53319,54645,56038,57410,58778,60205,61657,63084,64659,66230,67876,69505,71155,72899,74631,76380,78216,79994,81854,83843,85896,87888,89996,92095,94272,96434,98553,100802,103042,105354,107728,110195,112719,115299,117782,120409,123090,125697,128403,131238,134034,136911,139944,142967,145989,149030,152110,155418,158807,162225,165760,169328,173034,176950,181154,185363,189590,194021,198551,203217,207770,212353,217049,221931,226905,231926,237081,242233,247416,252546,257865,263233,268594,274037,279639,285325,290906,296787,302645,308476,314376,320352,326579,332942,339389,345940,352642,359507,366232,373191,380240,387456,394860,402429,409927,417646,425601,433681,441854,450186,458578,467225,475800,484927,493945,503156,512409,521843,531359,540924,550665,560736,570891,581134,591632,602278,613046,624001,634923,646002,657400,668712,680264,692058,703938,716057,728298,740510,752633,765000,777669,790239,802923,816027,829018,842027,855194,868725,882199,895897,909614,923749,937984,952250,966746,981371,996226,1011019,1026234,1041726,1057471,1073291,1089273,1105375,1121509
1,1,1,2,4,4,6,7,10,13,13,14,15,17,20,21,23,24,25,27,28,31,31,31,33,37,38,41,42,45,50,53,54,57,57,59,63,65,65,70,71,72,75,81,89,97,109,116,125,136,146,151,170,196,225,252,280,310,346,387,439,483,547,600,655,716,772,836,900,945,1008,1082,1148,1227,1335,1428,1520,1611,1702,1811,1905,1998,2101,2201,2317,2397,2466,2571,2651,2732,2822,2913,2992,3081,3168,3246,3334,3409,3493,3573,3644,3722,3803,3884,3958,4032,4101,4168,4248,4331,4390,4450,4513,4578,4653,4729,4819,4888,4957,5016,5094,5175,5253,5315,5400,5476,5553,5642,5734,5843,5935,6029,6120,6226,6334,6433,6519,6623,6721,6828,6925,7023,7119,7225,7325,7449,7568,7700,7820,7948,8081,8203,8341,8468,8596,8728,8872,9016,9172,9311,9442,9569,9702,9847,9980,10118,10280,10437,10596,10755,10898,11044,11199,11372,11507,11637,11784,11944,12124,12267,12430,12583,12748,12930,13101,13244,13411,13575,13739,13890,14052,14212,14400,14590,14798,15001,15212,15453,15669,15907,16128,16405,16683,16947,17247,17576,17892,18178,18475,18763,19062,19388,19695,20046,20384,20731,21108,21490,21906,22317,22745,23156,23560,23991,24435,24854,25283,25700,26121,26509,26920,27320,27746,28150,28569,28970,29363,29786,30188,30630,31074,31501,31938,32456,32905,33366,33833,34316,34790,35316,35831,36381,36942,37543,38120,38660,39236,39817,40386,40963,41536,42101,42689,43340,44044,44678,45313,45940,46559,47261,47941,48600,49292,49999,50653,51408,52130,52869,53600,54334,55100,55874,56673,57532,58343,59122,60020,60852,61715,62626,63518,64383,65385,66420,67319,68281,69284,70296,71354,72371,73395,74488,75628,76757,77890,79053,80193,81411,82648,83884,85181,86429,87725,89095,90498,91966,93395,94863,96333,97857,99427,101047,102644,104270,105932,107628,109356,111059,112860,114779,116679,118697,120775,122844,124983,127191,129540,132051,134575,137057,139681,142401,145151,147892,150711,153624,156636,159789,162978,166348,169591,173063,176557,180234,183715,187316,190969,194720,198632,202673,206797,210980,215167,219400,223540,227896,232287,236702,241114,245619,250192,254885,259483,264204,269152,274126,279089,284249,289470,294682,299912,305194,310373,315819,321251,326799,332593,338355,344112,350009,356005,362263,368582,375055,381592,388323,395194,402179,409241,416276,423607,431071,438633,446314,454175,462172,470413,478553,486843,495247,503865,512620,521464,530208,539313,548666,557984,567423,576970,586707,596649,606778,616999,627229,637734,648363,658990,669904,680947,692155,703423,714736,726229,737772,749530,761564,773675,786083,798707,810959,823424,836240,849120,862230,875602,889078,902625,916284,930380,944750,958981,973401,987965,1002851,1017614,1032508,1047870,1063332,1079002,1094845,1110531,1126784,1143008,1159251,1175783,1192300,1209068,1225949,1242795,1259855,1277052,1294353,1311607,1329408,1347232,1365097,1383164,1401458,1419755,1438549,1457172,1476079,1495120,1514373,1533804,1553175,1572791,1592799,1612797,1633158,1653462,1674009,1694859,1715507,1736454,1757702,1778889
1,1,1,1,1,1,2,3,3,4,5,6,6,6,7,7,7,7,7,10,10,12,12,12,13,14,17,19,20,21,24,28,34,42,45,50,54,62,65,67,69,75,78,81,84,89,98,101,108,110,113,115,120,125,131,132,135,142,143,146,148,151,155,160,167,168,175,178,178,181,181,188,192,193,198,204,207,212,214,217,221,227,233,237,244,251,252,258,262,269,270,278,284,297,302,307,314,324,331,342,347,350,357,363,367,371,376,380,390,396,402,405,406,407,412,417,425,427,430,436,441,447,456,463,472,480,489,492,494,504,512,521,525,530,540,549,556,563,578,588,594,602,613,624,628,635,641,649,655,669,681,688,700,713,724,740,756,776,788,806,817,834,847,868,891,917,941,965,992,1018,1054,1079,1101,1125,1149,1177,1198,1219,1241,1271,1304,1338,1364,1393,1409,1439,1455,1480,1512,1548,1590,1619,1655,1688,1722,1757,1804,1835,1879,1916,1959,1991,2031,2069,2122,2169,2213,2249,2296,2334,2382,2445,2495,2548,2594,2662,2710,2773,2819,2888,2959,3036,3101,3179,3236,3312,3385,3458,3508,3583,3666,3748,3819,3905,3993,4087,4146,4233,4315,4411,4491,4588,4674,4761,4847,4933,5021,5102,5196,5287,5367,5456,5531,5610,5694,5764,5835,5899,5980,6055,6127,6201,6299,6375,6451,6538,6625,6722,6825,6928,7047,7139,7249,7363,7477,7603,7720,7838,7998,8185,8348,8543,8725,8927,9119,9320,9528,9716,9936,10128,10333,10514,10721,10935,11120,11329,11529,11733,11925,12127,12335,12550,12797,13016,13258,13477,13719,13993,14239,14511,14800,15088,15387,15665,15938,16211,16499,16771,17040,17309,17604,17867,18117,18381,18663,18928,19194,19464,19739,20037,20291,20552,20798,21065,21347,21616,21904,22199,22484,22788,23082,23402,23717,24063,24452,24865,25317,25788,26274,26816,27377,27941,28503,29137,29712,30347,31010,31673,32304,32993,33640,34329,35018,35729,36488,37223,37942,38623,39393,40155,40938,41678,42387,43140,43947,44757,45523,46298,47071,47853,48689,49529,50349,51201,52035,52825,53732,54679,55602,56606,57603,58588,59603,60646,61756,62808,63857,64968,66171,67414,68608,69800,71053,72265,73526,74831,76157,77502,78784,80153,81543,82973,84344,85731,87190,88675,90126,91665,93171,94688,96283,97920,99559,101223,102790,104436,106162,107900,109722,111550,113413,115310,117268,119239,121219,123276,125426,127610,129904,132217,134604,137085,139497,142090,144701,147309,149980,152694,155355,158135,161021,164025,167047,170080,173154,176178,179334,182565,185801,189351,192848,196271,199822,203469,207104,210869,214588,218467,222444,226475,230510,234708,238922,243175,247483,252099,256632,261118,265825,270558,275398,280242,285226,290205,295338,300501,305719,311045,316334,321643,327229,332851,338411,344151,350111,355939,361965
1,1,1,1,3,3,3,4,4,4,4,7,9,10,10,11,11,14,15,18,19,23,25,29,32,33,41,46,49,57,60,64,72,79,84,85,91,100,105,108,113,119,122,127,131,138,141,157,163,172,174,176,181,186,192,205,211,227,239,250,263,267,277,284,295,309,320,332,343,358,368,379,396,403,410,423,433,446,458,470,474,488,498,513,523,541,552,566,581,596,602,621,637,649,661,683,694,710,733,748,771,795,822,855,882,909,940,968,989,1020,1055,1085,1111,1140,1168,1200,1231,1261,1297,1333,1379,1432,1472,1520,1574,1618,1663,1704,1744,1793,1830,1871,1927,1960,1999,2032,2079,2121,2160,2202,2256,2300,2345,2397,2439,2473,2525,2566,2602,2658,2719,2783,2840,2905,2983,3054,3127,3196,3269,3344,3437,3516,3613,3721,3830,3954,4089,4214,4351,4509,4678,4848,4993,5155,5309,5488,5660,5836,6025,6198,6412,6602,6808,7001,7223,7443,7660,7904,8126,8351,8577,8823,9044,9288,9510,9768,10040,10362,10622,10922,11239,11538,11892,12219,12564,12907,13285,13640,14024,14396,14831,15203,15690,16208,16671,17193,17672,18191,18691,19161,19665,20166,20689,21193,21668,22177,22652,23154,23643,24140,24655,25204,25771,26337,26912,27482,28089,28729,29417,30089,30799,31475,32165,32900,33632,34380,35119,35803,36580,37369,38159,38972,39760,40506,41288,42060,42873,43671,44478,45275,46130,46964,47800,48664,49596,50474,51370,52284,53234,54165,55104,56120,57080,58103,59151,60206,61239,62288,63395,64459,65562,66715,67827,68964,70119,71329,72560,73800,75004,76286,77576,78901,80298,81642,83092,84633,86128,87649,89179,90818,92424,94132,95754,97498,99240,101045,102805,104594,106404,108297,110147,112005,114057,116010,118160,120342,122486,124613,126907,129184,131435,133830,136326,138739,141283,143798,146415,149056,151757,154401,157197,159981,162754,165646,168523,171562,174694,177844,181177,184584,187945,191596,195297,198979,202913,206730,210758,214880,219131,223329,227565,232006,236527,241184,245828,250531,255291,260251,265137,270248,275352,280509,285855,291195,296732,302247,308000,313845,319701,325638,331604,337657,343823,350178,356634,363242,369969,376730,383678,390701,397628,404837,412217,419592,427017,434720,442367,450226,458394,466417,474616,482915,491136,499432,507902,516529,525401,534328,543375,552298,561633,571052,580466,590103,600001,609917,619795,629854,640047,650596,661049,671681,682582,693423,704516,715677,727049,738712,750245,762305,774366,786801,799302,812198,825048,838116,851415,864705,878263,891837,905455,919381,933243,947424,961619,975882,990525,1004885,1019765,1034434,1049321,1064473,1079535,1094786,1110366,1125721,1141344,1157339,1173359,1189618,1205920,1222432,1239188,1256011,1273075,1290143,1307462,1324753,1342074,1359686,1377532,1395274,1413394,1431541,1450093,1468517,1487285,1505943,1525109,1544143,1563159,1582905,1602462,1622040,1641704,1661739,1681798,1702023,1722417,1742881,1763582,1784009,1804612,1825394,1845964,1866804,1887911,1909296,1930587,1952126,1973939,1995351,2017318,2038844,2061244,2083354,2105514
1,1,1,1,1,1,1,1,1,1,1,3,5,6,9,9,9,10,11,12,12,14,16,17,18,21,26,29,30,33,36,41,41,43,54,58,60,67,70,74,76,81,88,92,95,101,108,112,118,122,126,128,131,138,144,148,153,157,162,173,175,180,183,192,198,207,215,224,232,237,251,265,274,289,300,307,325,339,353,360,383,400,413,423,438,454,467,485,499,512,528,546,560,582,594,607,625,638,656,671,686,706,727,737,751,765,791,811,834,849,868,891,917,939,953,972,984,999,1018,1035,1054,1077,1099,1129,1149,1169,1191,1210,1235,1251,1283,1311,1344,1375,1402,1437,1483,1536,1596,1666,1733,1802,1888,1950,2012,2080,2160,2227,2292,2363,2428,2482,2534,2596,2651,2720,2790,2848,2913,2960,3021,3072,3125,3192,3236,3283,3328,3373,3409,3468,3512,3540,3581,3619,3657,3700,3739,3776,3814,3849,3890,3936,3982,4024,4073,4124,4173,4227,4263,4296,4348,4399,4455,4511,4563,4631,4691,4756,4816,4885,4946,5024,5066,5127,5184,5258,5324,5385,5466,5535,5622,5706,5779,5846,5938,6008,6086,6187,6273,6349,6435,6544,6633,6742,6846,6956,7046,7168,7318,7438,7591,7719,7864,8015,8156,8331,8534,8733,8940,9104,9318,9555,9767,9989,10221,10456,10701,10935,11165,11382,11644,11884,12137,12410,12645,12910,13148,13410,13680,13939,14227,14482,14732,14990,15275,15573,15871,16206,16540,16893,17202,17547,17864,18251,18614,18971,19350,19728,20115,20506,20906,21309,21776,22211,22658,23136,23604,24123,24611,25127,25644,26139,26669,27230,27753,28343,28978,29591,30202,30843,31517,32164,32836,33512,34196,34844,35569,36335,37137,37923,38755,39560,40420,41275,42188,43068,43971,44900,45826,46762,47733,48651,49619,50673,51695,52776,53861,54968,56104,57301,58463,59803,61097,62357,63642,65003,66358,67794,69214,70694,72173,73669,75126,76697,78330,79941,81626,83290,85081,86919,88746,90753,92702,94699,96716,98736,100849,102943,105096,107330,109574,111904,114168,116499,118808,121261,123760,126218,128815,131337,133844,136472,139074,141660,144295,147040,149746,152533,155444,158295,161192,164083,167077,170162,173394,176510,179761,183265,186680,190119,193816,197492,201326,205222,209035,213113,217103,221174,225393,229539,233905,238311,242617,247193,251617,255929,260424,265070,269864,274759,279633,284581,289724,294916,300242,305650,311142,316898,322700,328595,334676,340729,346968,353265,359593,366012,372623,379443,386147,392873,399798,406743,413766,420811,427967,435379,442666,450206,457776,465221,472908,480683,488611,496387,504366,512423,520493,528830,537252,545804,554709,563433,572479,581567,590736,600003,609434,619121,628726,638531,648515,658537,668614,678854,689316,699903,710491,721331,732372,743641,754740,766009,777530,789282,801008,812911,825107,837266,849454,861725,874029,886803,899570,912399,925042,938134,951205,964528,977645,991188,1004693,1018434,1032335,1046217,1060493,1074974,1089742
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1,1,1,1,1,2,4,5,5,7,10,13,14,17,19,24,24,27,31,36,39,39,41,46,50,56,61,61,63,67,73,79,86,94,103,116,123,125,131,135,146,154,161,166,171,176,185,198,208,217,225,234,241,249,256,265,274,285,291,300,305,309,316,324,333,339,352,367,377,382,394,399,410,417,423,430,437,449,460,471,480,501,515,535,551,565,581,598,612,629,656,676,697,720,739,758,782,798,825,845,868,886,901,918,934,955,978,1002,1025,1046,1080,1096,1113,1138,1163,1185,1223,1253,1274,1302,1324,1354,1384,1414,1445,1469,1487,1516,1536,1563,1588,1605,1633,1662,1681,1704,1727,1747,1773,1796,1822,1844,1875,1902,1925,1944,1966,1983,2003,2029,2048,2077,2098,2113,2143,2163,2182,2205,2230,2251,2270,2286,2308,2331,2350,2374,2397,2427,2459,2495,2532,2578,2614,2641,2672,2698,2730,2761,2803,2825,2870,2906,2960,2990,3034,3077,3115,3156,3198,3247,3287,3332,3388,3439,3500,3529,3579,3629,3686,3751,3810,3875,3928,3995,4074,4154,4196,4257,4338,4403,4468,4535,4604,4668,4735,4800,4883,4953,5009,5090,5171,5222,5306,5393,5483,5569,5655,5729,5812,5891,5985,6097,6187,6276,6364,6465,6565,6669,6769,6861,6940,7034,7157,7249,7359,7467,7594,7687,7823,7956,8076,8211,8324,8421,8530,8628,8744,8844,8981,9083,9186,9316,9446,9559,9666,9769,9912,10019,10128,10263,10367,10471,10604,10726,10831,10950,11059,11175,11296,11423,11539,11662,11784,11899,12034,12174,12320,12457,12608,12758,12928,13091,13266,13459,13625,13775,13927,14105,14292,14444,14624,14809,15025,15244,15490,15727,15967,16248,16492,16705,16934,17210,17477,17767,18060,18333,18613,18895,19202,19517,19847,20161,20467,20808,21138,21484,21799,22179,22548,22919,23294,23681,24116,24503,24916,25320,25748,26193,26586,27002,27417,27826,28256,28702,29143,29569,30029,30524,31005,31579,32097,32633,33158,33688,34302,34910,35545,36192,36778,37410,38032,38695,39402,40089,40785,41539,42308,43087,43829,44582,45397,46178,47019,47863,48698,49540,50420,51287,52213,53145,54159,55171,56237,57335,58407,59495,60606,61748,62966,64156,65372,66646,67934,69299,70649,72045,73459,74943,76434,77974,79562,81168,82888,84619,86379,88120,89908,91715,93661,95588,97544,99520,101568,103650,105728,107911,110151,112430,114640,116933,119295,121650,124126,126537,128911,131417,134014,136592,139217,141984,144674,147469,150275,153088,156046,159014,162060,165094,168157,171491,174810,178165,181621,185050,188462,192047,195646,199289,203039,206838,210702,214617,218601,222566,226495,230542,234464,238665,242830,246968,251303,255505,260066,264636,269119,273796,278653,283472,288300,293398,298692,303950,309402,314934,320428,326157,332040,337858,343742,349532,355575,361612,367726,373976,380325,386692,393169,399648,406174,412979,419985,426995,434144,441405,448653,456129,463743
1,1,1,1,1,1,2,2,3,6,7,9,9,10,13,15,16,17,22,24,28,34,37,40,45,49,53,55,64,66,69,72,74,75,84,90,93,98,104,111,116,119,124,129,135,141,144,147,151,153,161,168,175,181,184,189,192,195,202,210,218,225,231,238,243,248,254,264,279,286,298,315,326,333,345,356,370,383,398,422,445,461,483,496,514,527,552,575,598,614,635,646,661,682,707,724,747,764,780,798,810,826,848,871,893,916,944,963,988,1006,1026,1050,1075,1107,1126,1148,1179,1204,1233,1264,1298,1330,1375,1413,1447,1480,1513,1552,1591,1614,1660,1712,1754,1797,1846,1895,1944,2001,2045,2094,2155,2203,2242,2313,2371,2434,2500,2554,2611,2657,2713,2766,2835,2899,2968,3034,3098,3168,3258,3334,3405,3501,3579,3673,3766,3866,3968,4059,4186,4304,4397,4544,4673,4799,4935,5092,5228,5392,5561,5741,5904,6060,6228,6417,6597,6756,6950,7144,7350,7529,7693,7883,8070,8273,8466,8677,8879,9058,9293,9523,9754,9982,10211,10432,10672,10899,11164,11375,11594,11852,12143,12428,12726,13011,13308,13639,13975,14321,14671,15024,15391,15767,16165,16563,16946,17347,17732,18118,18531,18959,19393,19804,20234,20695,21104,21548,22021,22470,22939,23398,23848,24297,24803,25301,25801,26302,26795,27287,27821,28347,28884,29447,29993,30574,31180,31797,32394,32980,33641,34226,34869,35547,36252,36974,37646,38393,39126,39851,40584,41336,42103,42879,43638,44471,45314,46147,46977,47882,48806,49677,50631,51568,52498,53517,54505,55572,56725,57789,58896,60064,61197,62381,63606,64867,66119,67371,68713,70017,71435,72963,74491,76087,77698,79280,80970,82722,84526,86336,88190,90162,92156,94123,96130,98180,100313,102393,104574,106724,108934,111205,113533,115855,118192,120607,123138,125635,128347,131081,133828,136691,139542,142522,145535,148515,151600,154765,157970,161257,164641,168146,171706,175365,179000,182818,186588,190323,194100,198118,202181,206356,210602,214884,219134,223467,227945,232486,237033,241821,246623,251507,256441,261446,266473,271730,276936,282228,287740,293302,298935,304565,310466,316224,322076,328340,334514,340816,347172,353733,360425,367138,373924,380858,387901,395295,402730,410056,417665,425339,433194,441121,449143,457435,465781,474311,483067,491978,500996,510036,519167,528530,537785,547240,556735,566321,576205,586375,596570,606802,617357,627882,638252,648892,659722,670618,681531,692658,703791,715062,726701,738300,749896,761643,773471,785504,797583,809755,822037,834742,847553,860279,873107,886032,898878,912205,925562,939079,952900,966753,980586,994595,1008712,1022939,1037011,1051417,1065942,1080562,1095353,1110163,1125271,1140312,1155453,1171084,1186680,1202353,1218159,1234562,1250755,1267138,1283349,1299848,1316783,1333576,1350504,1367898,1385349,1402852,1420677,1438396,1456379,1474280,1492319,1510392,1529205,1547789,1566746,1585822,1604762,1623989,1643139,1663010,1682708,1702510,1722588,1743022,1763248,1783869,1804589,1825702,1847116,1868536,1890447,1912428,1934540,1956809,1979328,2001661,2024601
1,1,1,1,1,2,4,5,6,9,9,9,9,9,9,9,10,12,12,12,14,14,15,18,23,28,30,33,33,35,39,48,52,57,60,62,72,75,85,94,106,114,118,130,147,161,174,194,209,246,274,296,327,364,419,478,550,621,700,774,852,946,1038,1108,1200,1289,1361,1438,1503,1584,1653,1712,1784,1835,1890,1944,1995,2054,2102,2158,2204,2262,2311,2386,2453,2535,2612,2692,2788,2881,2986,3098,3192,3285,3378,3478,3588,3686,3787,3886,3978,4054,4143,4218,4305,4392,4483,4560,4637,4706,4769,4852,4907,4979,5049,5110,5190,5267,5335,5407,5484,5560,5631,5719,5800,5875,5965,6047,6136,6212,6299,6401,6489,6578,6680,6772,6875,6979,7099,7216,7334,7458,7577,7687,7816,7936,8085,8237,8381,8517,8663,8815,8977,9149,9322,9467,9629,9809,9990,10179,10367,10566,10800,11013,11264,11517,11802,12113,12399,12708,13017,13342,13698,14028,14383,14754,15142,15537,15916,16338,16795,17229,17687,18160,18670,19124,19614,20148,20648,21157,21688,22206,22762,23270,23795,24329,24922,25496,26059,26668,27233,27856,28510,29169,29867,30545,31231,31918,32584,33245,33918,34566,35228,35896,36543,37244,37958,38719,39397,40042,40753,41508,42246,43018,43783,44570,45408,46228,47053,47916,48753,49560,50383,51175,52000,52774,53551,54279,55061,55833,56600,57323,58103,58875,59613,60394,61172,61972,62733,63562,64383,65196,66026,66854,67731,68601,69507,70418,71377,72338,73310,74255,75288,76317,77339,78413,79466,80635,81830,82991,84186,85415,86654,87874,89084,90372,91591,92955,94317,95651,97065,98515,99918,101338,102861,104351,105888,107456,109031,110635,112273,113890,115608,117329,119124,121051,122931,124915,126946,129003,131095,133211,135489,137798,140172,142507,145010,147650,150385,153033,155806,158603,161523,164552,167612,170653,173761,177113,180575,184009,187620,191293,194847,198575,202374,206303,210268,214165,218258,222332,226463,230603,235003,239485,243849,248498,253256,258070,262960,267941,272993,277985,283072,288398,293731,299192,304600,310228,316020,321940,327730,333643,339623,345689,351799,358144,364576,371124,377966,384922,391792,398729,405817,413199,420413,427877,435515,443307,451092,458885,467071,475593,484176,492839,501540,510329,519333,528651,537874,547366,556968,566801,576671,586659,596818,606983,617363,627814,638654,649479,660586,671876,683266,694699,706325,718357,730300,742676,755083,767738,780525,793637,807062,820487,833860,847462,861192,875083,888968,903158,917477,932078,946714,961329,976039,990853,1005712,1020722,1035992,1051424,1066682,1082000,1097856,1113807,1129845,1145984,1162630,1179154,1195903,1212873,1229796,1246992,1264397,1281889,1299573,1317307,1334947,1352987,1370993,1389232,1407459,1426011,1444526,1463170,1481999,1500842,1519852,1539237,1558856,1578308,1597967,1617714,1637305,1657201,1677323,1697496,1717997,1738638,1759193,1780073,1801142,1822349,1843273,1864665,1886118,1907621,1929137,1950697,1972563,1994530,2016573,2038549,2061025,2083403,2105872,2128571,2151436,2174323,2197526,2220931,2244702,2268171,2291904,2315880,2339641,2363785,2387695,2411550,2435674,2459812,2484393,2509046,2533636,2558052,2582842,2607370,2632370
1,1,1,1,1,4,4,6,7,8,8,9,9,12,14,16,17,19,19,21,27,32,37,39,45,46,48,48,49,53,57,61,61,66,66,72,73,78,83,88,94,98,100,102,110,114,119,120,124,127,129,136,139,146,152,155,161,161,163,165,170,171,173,174,179,179,180,185,187,187,187,188,188,188,188,189,190,191,193,196,198,199,200,201,201,202,202,203,205,205,206,206,207,207,208,209,210,211,211,212,214,216,216,216,222,223,225,226,234,237,242,248,251,259,262,268,276,283,289,293,297,302,307,316,332,343,361,376,387,399,405,413,427,438,448,459,468,476,485,497,509,523,541,553,569,581,596,613,621,637,646,657,669,680,693,707,727,739,752,764,777,801,816,832,836,845,862,873,883,899,913,918,933,945,961,971,983,988,1000,1015,1026,1049,1062,1072,1083,1095,1107,1122,1132,1146,1159,1173,1188,1200,1217,1231,1244,1262,1273,1287,1299,1318,1330,1348,1358,1369,1380,1393,1405,1418,1431,1443,1454,1468,1488,1501,1509,1530,1552,1564,1580,1597,1618,1635,1648,1659,1679,1691,1704,1719,1734,1756,1770,1795,1817,1841,1862,1877,1893,1916,1935,1951,1972,1989,2014,2038,2056,2081,2107,2141,2167,2192,2217,2251,2281,2320,2354,2399,2425,2461,2488,2516,2555,2583,2617,2656,2697,2739,2786,2830,2868,2921,2968,3010,3054,3105,3151,3208,3256,3316,3368,3416,3471,3526,3597,3662,3725,3785,3846,3916,4002,4073,4138,4218,4300,4385,4470,4559,4650,4748,4845,4962,5085,5228,5376,5519,5660,5812,5963,6083,6233,6398,6553,6715,6870,7025,7178,7354,7502,7653,7815,7982,8120,8289,8457,8649,8821,9003,9177,9340,9516,9699,9900,10100,10288,10461,10677,10884,11098,11312,11533,11740,11958,12165,12423,12655,12890,13097,13355,13587,13805,14039,14251,14515,14755,15030,15294,15558,15814,16100,16370,16647,16907,17247,17597,17905,18234,18560,18916,19235,19616,20032,20431,20796,21182,21571,21991,22405,22816,23226,23657,24124,24591,25094,25616,26098,26621,27146,27686,28233,28841,29440,30077,30697,31374,32032,32689,33421,34106,34844,35578,36377,37111,37877,38682,39493,40294,41094,41989,42870,43755,44649,45496,46413,47374,48312,49300,50304,51288,52337,53410,54520,55629,56784,57939,59124,60355,61565,62859,64212,65523,66903,68293,69745,71196,72730,74212,75722,77323,78964,80677,82344,84042,85772,87500,89275,91078,92850,94672,96572,98412,100245,102173,104094,106020,108055,110135,112196,114173,116172,118155,120321,122400,124640,126809,129034,131323,133664,136040,138432,140822,143391,145864,148429,150974,153475,155996,158546,161050,163691,166394,168980,171741,174567,177343,180355,183264,186169,189172,192155,195243,198529,201801,205035,208395,211799,215510
1,1,1,1,1,2,2,4,7,8,9,14,17,21,21,21,21,27,32,34,37,38,40,40,44,49,51,56,66,74,80,83,88,92,99,112,124,133,142,145,151,158,171,181,187,196,203,211,218,226,240,255,269,286,298,308,323,331,343,355,368,375,388,398,408,431,446,465,493,514,526,541,561,586,607,627,652,672,698,726,745,769,799,836,860,891,931,963,990,1024,1054,1089,1125,1160,1192,1227,1265,1301,1331,1378,1405,1445,1489,1539,1587,1632,1669,1710,1744,1782,1826,1864,1917,1968,2017,2067,2118,2181,2246,2297,2350,2404,2452,2495,2544,2603,2651,2696,2762,2815,2863,2921,2978,3019,3075,3119,3158,3210,3252,3296,3342,3385,3424,3474,3517,3559,3596,3631,3671,3705,3755,3800,3832,3872,3921,3971,4003,4056,4103,4143,4187,4232,4276,4317,4371,4418,4475,4524,4581,4627,4677,4737,4769,4824,4865,4910,4955,5000,5030,5072,5112,5159,5207,5252,5282,5316,5363,5398,5435,5473,5522,5556,5597,5641,5689,5720,5755,5790,5821,5863,5904,5962,6004,6049,6097,6131,6177,6224,6260,6296,6332,6375,6405,6428,6464,6493,6532,6559,6608,6651,6694,6743,6785,6824,6852,6884,6930,6963,7002,7038,7080,7114,7157,7198,7224,7261,7309,7353,7394,7436,7479,7515,7550,7581,7621,7666,7711,7751,7778,7809,7850,7885,7916,7944,7983,8009,8041,8075,8111,8158,8187,8215,8255,8287,8316,8349,8379,8409,8444,8468,8499,8540,8574,8607,8647,8677,8712,8744,8780,8825,8869,8908,8955,9000,9048,9095,9141,9189,9235,9288,9332,9385,9441,9489,9544,9597,9650,9718,9775,9831,9880,9940,9999,10073,10134,10197,10274,10364,10448,10531,10605,10682,10771,10877,10984,11128,11282,11413,11544,11726,11887,12053,12216,12363,12514,12660,12834,13012,13187,13393,13604,13825,14044,14264,14483,14706,14961,15181,15405,15657,15883,16145,16422,16717,17005,17274,17557,17813,18068,18351,18627,18891,19162,19456,19758,20054,20355,20660,20984,21300,21617,21917,22202,22516,22867,23193,23518,23846,24205,24570,24918,25288,25709,26060,26487,26878,27227,27599,27960,28350,28734,29108,29524,29929,30368,30746,31168,31597,32082,32502,32931,33406,33869,34301,34760,35238,35711,36217,36736,37308,37855,38402,39010,39609,40230,40866,41461,42117,42730,43425,44118,44813,45489,46156,46816,47447,48172,48893,49589,50341,51097,51869,52678,53449,54270,55169,55971,56814,57682,58503,59384,60262,61177,62099,63049,63978,64942,66016,67009,68056,69108,70264,71337,72477,73598,74776,75981,77231,78479,79765,81079,82419,83826,85118,86506,87895,89323,90705,92174,93740,95349,96946,98592,100206,101912,103680,105544,107407,109367,111467,113529,115683,117864,119923,122058,124187,126401,128702,130951,133303,135560,137859,140137,142309,144596,146987,149307,151553,153882,156247,158554,160921,163351,165900,168422,170904,173593
1,1,1,1,1,1,3,5,6,8,8,11,12,13,15,15,15,15,15,17,18,19,19,21,21,21,21,22,26,27,30,33,36,37,40,40,40,42,45,49,52,54,55,57,61,66,69,74,78,83,88,92,97,104,107,113,120,125,133,137,146,155,159,170,180,182,186,195,202,204,218,226,232,242,258,269,282,291,299,308,320,331,341,355,369,382,404,415,427,442,457,471,482,501,512,530,545,559,577,589,600,619,642,667,689,727,761,783,800,828,860,893,921,954,988,1022,1049,1099,1119,1151,1191,1228,1267,1301,1338,1377,1414,1447,1490,1533,1574,1617,1651,1679,1711,1745,1787,1840,1890,1926,1959,2003,2033,2069,2119,2164,2211,2261,2317,2372,2425,2484,2536,2602,2671,2740,2807,2869,2939,3031,3114,3221,3320,3416,3520,3646,3789,3931,4064,4206,4331,4479,4638,4786,4933,5071,5227,5383,5538,5690,5855,5979,6113,6264,6412,6564,6701,6840,7014,7194,7359,7506,7666,7826,7972,8138,8314,8469,8642,8844,9020,9200,9355,9523,9725,9914,10095,10288,10470,10638,10854,11063,11277,11489,11760,11984,12251,12518,12793,13050,13313,13543,13832,14107,14418,14740,15046,15313,15646,15963,16264,16569,16959,17273,17598,17961,18276,18619,18997,19381,19773,20119,20499,20887,21271,21661,22100,22526,22985,23445,23882,24360,24905,25415,25908,26449,26969,27504,28100,28611,29160,29720,30278,30875,31475,32105,32709,33357,33989,34704,35347,35954,36610,37303,37992,38722,39415,40104,40806,41537,42299,43017,43761,44492,45246,46060,46906,47702,48571,49427,50311,51173,52109,53066,54062,54974,55957,56915,57999,59078,60170,61241,62351,63394,64534,65676,66882,68100,69318,70590,71917,73182,74512,75847,77266,78715,80218,81707,83188,84706,86377,87990,89704,91493,93231,95022,96859,98696,100627,102388,104239,106161,108118,110034,112027,113972,116044,118033,120149,122212,124413,126595,128827,131154,133461,135842,138377,140805,143392,146006,148714,151300,154115,156854,159635,162492,165512,168563,171606,174679,177859,181086,184326,187538,190849,194203,197618,201045,204591,208243,211895,215539,219085,222833,226632,230452,234288,238184,242247,246363,250513,254763,259118,263399,267687,272097,276668,281344,286135,291020,295933,301084,306178,311234,316614,321807,327196,332713,338266,343903,349708,355486,361343,367317,373469,379611,385832,392209,398592,405094,411782,418497,425272,432124,439115,446083,453302,460789,468214,475991,483713,491418,499214,507359,515382,523756,532193,540526,549103,557895,566790,575890,584932,594149,603343,612956,622629,632600,642532,652737,662968,673365,684048,694869,705877,717102,728552,739986,751817,763655,775382,787451,799759,811952,824010,836373,848993,861861,874875,888281,901496,914931,928409,941992,955748,969676,983851,997963,1012283,1026892,1041618,1056402,1071526,1087156,1102637,1118199,1134050,1150149,1166303,1182809,1199341,1216099,1232664,1249444,1266417,1283712,1301376,1318851,1336657,1354624,1372378,1390315,1408518,1427038,1445475,1464059,1482621
1,1,3,5,8,8,9,9,12,13,14,16,17,18,18,19,21,23,25,25,27,29,29,29,30,30,32,34,37,39,39,41,44,45,46,51,56,56,61,62,66,69,73,75,79,81,83,86,92,95,96,101,105,110,114,116,120,125,132,132,138,143,145,149,151,160,163,169,174,178,182,187,194,198,205,209,211,219,229,231,232,234,241,243,246,250,256,264,267,278,283,291,301,309,313,319,323,334,337,348,357,362,367,372,376,379,388,392,399,405,411,416,420,430,432,442,452,455,462,464,467,479,490,495,500,503,509,515,518,520,527,533,537,540,543,545,550,552,559,564,571,578,582,587,588,591,599,603,605,606,610,613,621,628,631,634,643,649,656,660,668,674,676,683,688,697,706,710,716,726,729,736,745,755,763,770,777,786,796,804,810,825,831,838,843,851,859,862,870,875,879,880,884,888,892,893,898,901,907,912,920,926,934,941,946,953,959,964,971,975,982,989,995,1010,1016,1025,1040,1050,1061,1073,1080,1096,1108,1122,1148,1158,1169,1183,1196,1207,1216,1227,1240,1263,1275,1298,1315,1342,1362,1382,1400,1414,1428,1446,1463,1486,1509,1530,1550,1574,1604,1626,1652,1680,1698,1730,1756,1784,1807,1842,1862,1891,1912,1939,1966,1992,2021,2059,2088,2127,2165,2208,2255,2308,2370,2428,2481,2538,2615,2693,2776,2846,2923,3004,3090,3165,3257,3363,3464,3572,3676,3793,3906,4018,4123,4231,4353,4475,4615,4750,4878,5019,5164,5315,5462,5656,5865,6065,6272,6518,6729,6959,7205,7455,7702,7968,8233,8500,8766,9035,9289,9570,9840,10116,10429,10720,11035,11340,11671,12012,12386,12763,13076,13476,13840,14242,14600,15009,15444,15845,16259,16686,17116,17551,17991,18406,18840,19311,19829,20306,20769,21253,21769,22233,22752,23307,23880,24478,25047,25639,26283,26971,27629,28382,29142,29855,30622,31376,32161,32988,33833,34620,35454,36290,37133,38064,38973,39889,40874,41842,42828,43872,44851,45895,47007,48085,49174,50269,51393,52548,53800,54955,56206,57453,58596,59842,61122,62389,63693,65057,66392,67741,69204,70611,72018,73450,74915,76412,77909,79458,80983,82593,84192,85864,87559,89303,91096,92904,94697,96555,98487,100378,102364,104314,106297,108354,110460,112613,114787,117062,119295,121539,123909,126357,128719,131355,134003,136679,139417,142202,145051,147956,150792,153757,156876,159946,163135,166327,169531,172967,176357,179628,183131,186648,190357,194003,197857,201590,205439,209319,213295,217445,221576,225707,229938,234250,238683,243214,247842,252654,257512,262380,267263,272202,277248,282500,287719,293086,298498,304002,309564,315178,320922,326788,332819,338984,345069,351328,357611,364046,370788,377383,384373,391499,398739,406136,413455
1,1,1,1,1,1,4,6,8,9,11,12,12,13,17,19,22,22,23,23,24,25,26,28,29,32,33,34,39,40,46,51,55,58,61,64,68,71,76,84,88,97,105,110,111,114,122,129,135,141,145,150,156,160,165,169,172,187,193,202,207,212,217,218,224,227,230,244,252,257,260,270,285,298,305,315,324,333,343,347,356,362,373,384,393,406,417,432,445,463,471,476,487,502,510,527,548,568,581,591,601,619,638,657,681,704,726,747,777,808,831,858,888,915,935,959,993,1023,1062,1101,1133,1168,1197,1232,1280,1320,1362,1402,1455,1491,1532,1570,1634,1672,1724,1765,1807,1842,1880,1921,1962,1997,2039,2070,2107,2141,2173,2206,2250,2297,2329,2357,2393,2439,2484,2524,2572,2623,2666,2715,2762,2807,2853,2904,2954,3008,3065,3133,3176,3217,3255,3326,3380,3422,3481,3531,3581,3636,3686,3746,3805,3858,3924,3982,4040,4101,4170,4227,4286,4348,4419,4494,4549,4615,4685,4754,4824,4897,4969,5047,5123,5203,5269,5350,5428,5490,5576,5662,5742,5807,5885,5979,6055,6127,6214,6297,6382,6472,6530,6605,6702,6801,6904,7019,7105,7205,7299,7402,7508,7628,7739,7853,7975,8097,8237,8373,8509,8661,8814,8963,9117,9255,9421,9569,9741,9905,10105,10280,10453,10627,10815,11008,11241,11479,11731,11953,12208,12471,12746,13019,13300,13574,13847,14139,14436,14713,15003,15286,15610,15923,16227,16580,16928,17255,17589,17928,18333,18696,19099,19525,19938,20347,20793,21219,21642,22080,22533,22985,23453,23948,24433,24972,25530,26068,26609,27161,27736,28342,28898,29410,30008,30636,31243,31906,32563,33217,33948,34701,35478,36252,37103,37938,38783,39713,40613,41534,42488,43455,44414,45380,46360,47353,48402,49446,50535,51650,52793,53971,55232,56523,57886,59305,60768,62339,63922,65534,67186,68785,70421,72140,73977,75734,77568,79543,81506,83471,85505,87699,89849,91945,94106,96311,98517,100791,103080,105396,107704,110085,112393,114753,117284,119796,122437,125023,127639,130304,133034,135854,138641,141527,144474,147465,150518,153487,156397,159444,162566,165650,168773,171993,175258,178585,182064,185583,189108,192725,196309,199939,203507,207091,210724,214392,218089,221741,225454,229251,233091,236916,240818,244808,248866,252987,257092,261243,265504,269922,274386,278977,283548,288198,292853,297566,302320,307260,312118,317159,322188,327286,332410,337705,342925,348313,353875,359426,364938,370665,376425,382223,388168,394211,400235,406402,412809,419122,425340,431873,438509,445226,451919,458904,465855,472987,480040,487392,494687,502274,509943,517670,525498,533326,541288,549537,557878,566380,574952,583735,592585,601500,610642,619870,629261,638844,648318,658055,667902,677919,688270,698509,708978,719596,730500,741219,752182,763324,774610,786065,797486,809179,820900,832828,844718,857096,869662,882212,894801,907890,920931,934042,947507,961196,974845,988614,1002618,1016974,1031475,1045708,1060152
1,1,1,1,4,4,6,7,8,9,10,13,14,18,20,24,27,31,32,35,36,42,46,47,54,55,60,63,68,75,81,86,93,100,105,108,112,117,123,128,131,132,136,141,145,149,150,156,159,161,162,163,167,172,174,177,178,184,188,190,193,197,198,201,205,209,215,222,227,233,234,237,244,246,249,253,257,261,265,270,272,277,283,285,291,293,295,305,314,322,327,334,339,346,355,358,361,367,369,375,379,382,386,387,387,388,391,395,398,399,402,404,406,407,408,409,411,412,413,414,417,418,422,423,424,424,425,425,427,429,432,432,435,436,438,438,441,445,449,450,451,456,457,461,462,464,467,470,476,480,484,491,497,503,506,510,510,512,515,520,530,538,549,556,563,573,581,588,596,605,608,619,626,630,637,647,659,669,680,691,698,708,713,721,726,735,744,758,769,777,790,800,813,822,827,838,857,868,881,896,910,925,936,948,965,980,992,1009,1023,1040,1060,1076,1096,1116,1133,1148,1178,1194,1219,1232,1252,1264,1280,1298,1313,1324,1345,1364,1388,1410,1430,1459,1486,1504,1530,1562,1582,1604,1624,1658,1684,1725,1750,1771,1799,1833,1870,1905,1938,1970,2014,2054,2100,2135,2178,2225,2263,2311,2344,2387,2429,2472,2501,2555,2606,2647,2704,2759,2800,2862,2900,2930,2974,3016,3060,3107,3163,3235,3300,3360,3415,3478,3551,3607,3672,3748,3822,3892,3972,4052,4139,4228,4320,4405,4510,4607,4716,4842,4960,5058,5167,5278,5380,5516,5629,5747,5874,6016,6163,6310,6461,6618,6751,6885,7021,7155,7312,7477,7649,7812,7976,8140,8323,8506,8718,8932,9153,9423,9676,9985,10294,10630,10945,11249,11584,11946,12298,12718,13087,13490,13885,14301,14705,15126,15524,16000,16454,16942,17445,17953,18490,19010,19510,20027,20533,21039,21606,22125,22666,23216,23745,24306,24851,25369,25955,26491,27105,27726,28307,28900,29530,30155,30769,31418,32111,32771,33525,34265,34978,35778,36608,37403,38297,39120,39958,40850,41804,42718,43652,44617,45669,46677,47687,48682,49695,50721,51749,52786,53871,54958,56004,57145,58251,59435,60610,61847,63102,64366,65678,66997,68380,69755,71178,72624,74081,75663,77200,78814,80393,82046,83730,85429,87195,89007,90808,92611,94422,96309,98318,100358,102475,104674,106916,109101,111371,113704,116162,118580,121056,123479,126055,128713,131340,134100,136839,139597,142479,145292,148202,151189,154189,157188,160241,163368,166464,169741,172954,176209,179648,183107,186702,190333,194168,198036,201998,205917,209940,214124,218377,222657,227014,231397,235747,240207,244648,249168,253685,258422,263294,268222,273106,278037,283200,288358,293619,298870,304252,309792,315299,321058,326788,332711,338745,344704,350761,357172,363388
1,1,2,2,3,6,6,6,6,8,8,8,9,9,11,15,19,22,26,28,29,32,34,40,43,51,56,65,70,77,87,93,103,110,116,126,137,145,156,173,183,196,207,215,230,249,273,288,301,318,336,350,390,422,441,471,498,528,557,575,601,618,638,671,697,715,754,780,802,839,880,916,942,992,1041,1095,1149,1210,1263,1327,1409,1479,1562,1647,1732,1814,1913,2000,2107,2212,2330,2445,2563,2707,2831,2961,3081,3226,3367,3486,3631,3762,3907,4029,4170,4289,4438,4593,4727,4857,5009,5151,5277,5431,5590,5745,5893,6033,6182,6315,6487,6627,6779,6959,7135,7291,7467,7659,7829,8044,8256,8470,8680,8889,9088,9322,9554,9799,10044,10281,10556,10836,11133,11429,11691,11982,12270,12590,12938,13263,13625,13962,14313,14678,15079,15450,15849,16205,16599,16988,17413,17820,18214,18666,19076,19507,19950,20374,20818,21290,21714,22178,22670,23153,23644,24157,24645,25180,25712,26253,26828,27403,28050,28618,29289,29924,30575,31229,31898,32638,33395,34153,34986,35823,36600,37448,38273,39160,40082,40982,41948,42926,43900,44915,45935,46991,48082,49212,50278,51396,52593,53658,54816,55959,57233,58427,59668,60895,62111,63414,64691,65993,67389,68858,70233,71600,73083,74558,75960,77461,79011,80585,82203,83826,85467,87176,88935,90597,92389,94115,95916,97719,99574,101454,103363,105296,107218,109209,111204,113344,115475,117578,119656,121849,123967,126072,128175,130397,132652,134961,137302,139544,141831,144148,146458,148884,151359,153892,156470,159053,161704,164510,167257,170108,173030,175983,178974,181914,185025,188211,191430,194616,197984,201213,204664,208119,211701,215326,218962,222844,226744,230760,234741,238748,242931,247193,251487,255852,260369,264878,269536,274244,278870,283736,288645,293600,298591,303637,308848,313991,319162,324402,329867,335327,340815,346398,352120,357915,363677,369519,375484,381351,387348,393391,399644,406008,412419,418812,425581,432311,439153,446075,453089,460202,467475,474797,482354,489762,497410,505171,513040,520832,528734,536763,544856,553016,561175,569678,578513,587255,596161,605384,614504,623834,633217,642900,652612,662501,672730,682932,693450,704051,714888,725822,736558,747447,758695,770130,781719,793599,805469,817487,829749,842262,854972,867804,880845,894055,907340,920821,934507,948344,962296,976411,990597,1004984,1019892,1034712,1049543,1064784,1080280,1095880,1111553,1127644,1143878,1160285,1176840,1193745,1210549,1227647,1244995,1262651,1280172,1297729,1315577,1333560,1351677,1369813,1388132,1406642,1425112,1444055,1463007,1481759,1501198,1520558,1540207,1559712,1579620,1599838,1620197,1640525,1661068,1681845,1702890,1723923,1745206,1766698,1788209,1809665,1831052,1853000,1874627,1896671,1918944,1941090,1963585,1986085,2008796,2031597,2054564,2077587,2101008,2124359,2147881,2170963,2194652,2218617,2242146,2265844,2290000,2313926,2337856,2362065,2386132,2410248,2434284,2458555,2482943,2507329,2531983,2556514,2581361,2606005,2630693,2655641,2680612,2705721,2730906,2756089,2781297,2806610,2832157,2857506,2883214,2909033,2934998,2960669,2986544,3012645,3039031,3065258,3091437,3117588,3144052,3170634,3197449,3224103,3250713,3277593,3304212,3330737,3357735,3384722,3411616,3438574,3465646
1,1,3,5,5,6,7,8,8,12,14,17,21,23,27,30,35,42,45,47,51,56,61,63,65,67,75,77,77,79,84,88,92,95,96,100,105,107,109,114,117,122,124,125,130,132,134,137,139,141,142,144,146,148,148,152,156,160,166,166,168,170,172,177,177,180,181,182,184,190,191,195,199,201,204,206,209,215,219,222,227,231,236,238,240,246,258,261,269,280,292,303,309,319,321,332,341,348,361,374,384,393,401,422,438,449,457,466,482,500,512,522,537,564,586,605,629,655,679,697,725,750,781,802,829,870,901,936,962,997,1031,1070,1103,1123,1155,1179,1210,1240,1275,1311,1345,1382,1415,1461,1500,1537,1572,1605,1652,1705,1758,1803,1842,1891,1944,2005,2078,2145,2198,2252,2319,2388,2469,2550,2629,2709,2790,2872,2964,3040,3133,3223,3314,3392,3483,3581,3677,3749,3836,3934,4023,4104,4207,4317,4428,4522,4614,4708,4792,4878,4983,5086,5180,5264,5354,5439,5540,5639,5741,5839,5934,6029,6115,6199,6276,6343,6435,6530,6616,6686,6764,6844,6936,7020,7116,7207,7314,7412,7498,7594,7701,7781,7876,7966,8064,8166,8266,8399,8492,8577,8661,8761,8858,8945,9051,9128,9213,9303,9386,9464,9560,9634,9718,9800,9866,9936,10013,10090,10154,10237,10297,10367,10445,10501,10571,10647,10705,10784,10855,10939,11021,11107,11177,11265,11357,11460,11542,11611,11674,11736,11834,11924,12005,12094,12193,12288,12383,12469,12567,12674,12755,12841,12942,13030,13120,13216,13334,13428,13539,13653,13752,13866,13999,14111,14236,14375,14507,14623,14754,14888,15018,15131,15246,15385,15536,15666,15804,15946,16099,16261,16413,16546,16700,16863,17052,17214,17363,17522,17708,17914,18130,18364,18613,18877,19111,19393,19675,19976,20240,20543,20856,21203,21509,21811,22132,22396,22706,23019,23343,23658,24031,24403,24778,25193,25610,26037,26440,26847,27305,27728,28210,28720,29180,29627,30107,30546,30992,31442,31920,32419,32899,33407,33922,34432,34959,35424,35959,36509,37126,37690,38231,38789,39343,40000,40605,41244,41895,42566,43248,43956,44668,45401,46114,46850,47569,48299,49071,49887,50691,51471,52276,53182,54013,54849,55734,56663,57533,58494,59398,60325,61271,62238,63232,64265,65228,66256,67273,68335,69422,70598,71812,72926,74062,75279,76516,77815,79139,80480,81812,83210,84643,86107,87669,89195,90678,92310,93996,95631,97332,99027,100926,102813,104657,106568,108502,110489,112387,114365,116425,118477,120584,122738,124963,127173,129367,131736,134188,136614,139000,141592,144100,146630,149196,151759,154481,157105,159855,162703,165683,168511,171476,174611,177832,180961,184331,187624,191002,194425,197999,201622,205332,209124,212911,216717,220719,224617,228747,232939,237217,241469,245898,250176,254643,259177,263793,268458,273367,278077,282923,287801,292699,297683,302919,308186,313501,318952,324560
1,1,1,2,3,3,4,6,7,10,11,11,12,13,16,17,18,22,23,25,28,30,32,35,36,36,38,39,42,49,53,58,60,63,68,72,75,80,83,91,95,99,103,111,116,119,126,134,136,140,145,150,157,161,168,171,183,189,195,201,204,212,218,226,232,248,254,266,279,287,296,304,311,321,325,336,346,360,372,381,394,404,418,431,441,455,462,475,479,488,497,504,513,521,528,534,540,542,547,551,564,567,575,582,593,600,609,613,623,632,642,652,654,661,675,684,687,694,705,709,716,720,733,739,748,758,765,772,783,789,799,812,825,833,838,848,855,864,874,884,894,899,904,912,920,933,937,949,957,965,976,993,1000,1003,1010,1023,1032,1040,1054,1062,1074,1090,1099,1108,1114,1126,1138,1151,1165,1181,1192,1206,1219,1231,1260,1276,1292,1303,1319,1336,1354,1368,1387,1404,1427,1441,1469,1489,1506,1519,1541,1560,1579,1602,1621,1652,1668,1691,1706,1717,1740,1759,1781,1796,1808,1830,1847,1868,1884,1902,1924,1943,1963,1988,2014,2037,2070,2107,2143,2169,2198,2223,2260,2314,2369,2408,2451,2495,2534,2578,2637,2681,2732,2792,2843,2911,2965,3024,3077,3130,3188,3266,3331,3423,3496,3587,3660,3740,3823,3916,4025,4129,4222,4323,4405,4506,4604,4711,4823,4942,5066,5187,5302,5426,5542,5649,5777,5884,6022,6181,6306,6448,6592,6747,6912,7105,7286,7467,7664,7876,8083,8283,8499,8762,8996,9229,9463,9728,10021,10265,10549,10845,11111,11419,11690,11980,12298,12592,12896,13175,13508,13815,14124,14425,14760,15110,15438,15753,16107,16450,16792,17158,17510,17896,18241,18618,19000,19373,19795,20192,20564,20950,21371,21768,22166,22609,23090,23523,23963,24389,24848,25309,25765,26242,26749,27251,27789,28323,28855,29380,29948,30530,31116,31713,32278,32899,33539,34152,34797,35465,36133,36841,37535,38249,39071,39838,40648,41447,42281,43124,44029,44930,45851,46733,47631,48598,49595,50546,51553,52538,53560,54546,55559,56589,57647,58699,59763,60865,61956,63026,64139,65297,66448,67711,68943,70192,71485,72797,74156,75539,76907,78365,79804,81359,82952,84612,86307,87992,89735,91559,93379,95201,97126,99111,101195,103298,105332,107501,109820,112106,114456,116747,119160,121616,124058,126594,129205,131888,134604,137580,140444,143503,146721,149955,153338,156931,160320,163956,167549,171184,174797,178662,182420,186347,190271,194283,198256,202383,206638,210774,215123,219618,223999,228659,233258,237992,242765,247720,252632,257681,262782,268021,273307,278773,284416,290045,295779,301586,307532,313592,319823,326129,332526,339074,345613,352335,359088,365902,372978,379888,386870,394074,401443,408866,416557,424491,432246,439998,448006,456128,464265,472295,480566,489066,497534,505984,514735,523548,532224,541141,550257,559396,568548,577861,587228,597008,606651
1,1,1,1,1,1,3,3,4,5,11,12,14,17,21,22,24,25,27,30,35,36,41,44,45,47,52,57,59,68,74,79,86,89,94,99,106,108,114,121,125,132,139,151,158,165,177,192,205,215,223,234,242,249,256,265,272,284,299,315,329,339,350,360,375,384,399,417,433,447,463,474,486,508,525,540,559,587,603,630,653,678,699,716,737,768,784,810,829,845,863,877,904,928,952,975,992,1012,1029,1053,1067,1087,1108,1131,1155,1184,1215,1235,1259,1285,1308,1324,1346,1370,1395,1416,1438,1456,1483,1511,1541,1563,1592,1608,1627,1646,1661,1676,1692,1702,1725,1749,1767,1785,1805,1823,1843,1863,1885,1898,1908,1924,1946,1967,1991,2015,2033,2058,2082,2108,2126,2153,2167,2199,2225,2252,2268,2283,2304,2325,2351,2371,2394,2408,2436,2458,2475,2495,2517,2538,2561,2586,2613,2632,2649,2667,2693,2712,2737,2753,2778,2806,2822,2843,2867,2908,2950,2986,3016,3055,3092,3140,3173,3211,3256,3300,3341,3384,3427,3473,3506,3549,3603,3663,3713,3762,3838,3876,3920,3976,4026,4089,4160,4217,4286,4364,4432,4501,4570,4646,4744,4819,4883,4959,5045,5124,5235,5338,5439,5565,5682,5787,5901,6020,6138,6253,6389,6520,6659,6796,6924,7064,7225,7366,7518,7686,7833,8010,8161,8330,8476,8639,8806,9013,9218,9392,9588,9770,9959,10166,10385,10596,10803,11039,11257,11459,11674,11903,12143,12387,12573,12806,13017,13290,13586,13824,14093,14371,14635,14944,15236,15547,15860,16181,16496,16830,17191,17568,17895,18301,18708,19109,19555,19989,20392,20816,21230,21684,22137,22611,23079,23568,24027,24522,25039,25515,26073,26573,27120,27650,28225,28771,29320,29953,30543,31167,31809,32442,33068,33758,34446,35116,35848,36578,37295,38048,38768,39478,40281,41052,41806,42608,43379,44209,45063,45911,46753,47632,48539,49424,50360,51299,52236,53195,54180,55229,56264,57351,58510,59696,60891,62060,63291,64572,65878,67132,68459,69876,71232,72603,74062,75487,76920,78407,79903,81430,83020,84572,86169,87730,89345,91000,92708,94498,96364,98203,100083,101976,103855,105776,107677,109641,111686,113751,115891,117963,120139,122382,124545,126884,129277,131700,134246,136700,139128,141490,143975,146380,148911,151602,154169,156916,159608,162359,165142,167939,170865,173858,176831,179936,182875,186106,189344,192602,195934,199333,202738,206237,209767,213317,217014,220755,224538,228368,232133,236055,240164,244241,248340,252506,256750,260991,265248,269646,274080,278604,283129,287698,292424,297239,302175,307173,312192,317269,322426,327682,332998,338354,343889,349394,355035,360786,366362,372282,378314,384413,390541,396947,403412,410127,416999,423999,431076,438243,445544,452760,460404,468128,476067,484028,492283,500619,509029,517531,526128,535053,544201,553401,562688,572204,581899,591838,601749,611735,621793,631921,642383,652755,663544,674269,685447,696440,707871,719334,731119,742783,754787
1,1,1,1,1,2,3,4,4,5,5,7,7,9,11,12,13,20,22,24,25,27,29,31,33,35,38,39,39,41,44,45,53,55,59,62,69,74,79,87,91,95,102,107,113,121,121,124,127,131,136,143,154,163,169,171,176,184,190,192,197,200,208,213,220,230,245,258,269,281,294,304,311,324,335,348,357,369,383,396,410,421,433,447,459,473,489,500,515,527,539,560,578,610,631,657,683,708,726,761,785,823,864,920,970,1012,1058,1101,1140,1194,1245,1298,1349,1407,1451,1501,1550,1613,1659,1716,1774,1832,1888,1948,2014,2070,2130,2207,2274,2355,2428,2524,2604,2694,2800,2912,3013,3120,3220,3323,3434,3540,3673,3797,3909,4042,4175,4313,4441,4576,4733,4887,5036,5162,5305,5454,5600,5722,5857,5982,6136,6274,6432,6596,6768,6927,7101,7276,7440,7602,7783,7985,8164,8378,8608,8861,9106,9360,9642,9947,10267,10588,10924,11263,11600,11946,12293,12635,12984,13316,13667,14032,14379,14748,15112,15485,15865,16258,16643,17043,17468,17872,18325,18771,19228,19731,20222,20741,21301,21846,22387,22959,23494,24087,24678,25270,25933,26619,27279,27960,28637,29316,30082,30772,31539,32330,33182,34056,34830,35642,36505,37389,38302,39263,40200,41186,42229,43274,44257,45313,46428,47580,48696,49878,50995,52234,53478,54727,56034,57335,58605,59884,61281,62631,64007,65408,66810,68185,69664,71164,72690,74294,75890,77533,79199,80971,82754,84585,86427,88185,90144,92153,94086,96023,98023,100062,102109,104178,106281,108423,110653,112918,115203,117517,119873,122320,124679,127173,129734,132321,134976,137637,140394,143096,145955,148750,151592,154542,157542,160639,163630,166797,169937,173101,176360,179565,183035,186395,189832,193406,197027,200692,204484,208387,212356,216372,220438,224679,228901,233172,237705,242289,246943,251721,256503,261313,266397,271425,276643,281984,287305,292808,298403,304076,309786,315667,321579,327632,333788,340058,346282,352558,359181,365850,372548,379332,386122,392948,400037,407260,414452,421728,429308,436784,444554,452337,460188,468004,475962,483968,492028,500226,508450,516838,525268,533847,542454,551168,559947,568888,578036,587398,596695,606266,615967,625844,635688,645807,656143,666730,677493,688158,699184,710038,721309,732808,744505,756201,768012,779990,792137,804497,817089,829616,842354,855184,868095,881368,894600,908099,921501,935062,948659,962410,976361,990349,1004347,1018412,1032808,1047306,1061899,1076590,1091417,1106282,1121478,1136857,1152237,1167664,1183248,1199140,1215154,1231135,1247517,1264056,1280559,1297133,1314003,1330772,1347752,1364567,1381579,1398607,1415835,1433315,1451221,1468904,1486352,1504153,1522183,1540516,1558797,1576997,1595370,1613962,1632381,1651113,1669726,1688366,1707313,1726354,1745643,1764726,1784508,1804152,1824029,1844034,1864107,1884284,1904748,1925307,1945897,1966875,1987984,2009397,2030863,2052457,2074014,2095821,2117579,2139764,2161803,2184039,2206644,2229265,2252055,2275180,2298255,2321432,2344496,2367731,2391282,2414923,2438635,2462275,2485651,2509849,2533842,2557970,2582271,2606535,2630816,2655309,2680174,2704988,2729818,2754874,2779843
1,1,1,1,1,1,1,1,1,1,2,2,4,5,7,9,9,9,10,14,14,15,16,17,17,20,22,22,22,22,23,24,24,27,30,34,35,42,45,46,48,53,58,65,68,75,80,81,88,90,92,103,106,113,116,120,127,132,140,149,157,165,176,186,199,200,205,210,220,232,245,253,266,276,287,293,302,316,331,340,347,355,361,371,378,383,390,397,405,414,422,433,443,453,463,475,486,493,498,502,511,517,523,534,542,554,561,570,577,581,588,594,600,606,614,619,623,629,640,643,648,652,661,668,674,680,685,694,697,702,708,716,721,730,737,743,746,747,755,758,765,770,780,787,792,794,796,797,804,810,816,821,827,830,832,836,840,844,845,850,858,860,868,869,874,876,890,899,903,910,920,925,929,938,941,952,960,967,975,980,982,990,999,1013,1020,1032,1039,1050,1067,1078,1092,1104,1111,1125,1139,1150,1165,1175,1185,1199,1209,1223,1239,1253,1268,1281,1296,1307,1323,1340,1353,1361,1381,1393,1408,1415,1430,1440,1456,1474,1486,1500,1507,1511,1525,1537,1549,1569,1578,1589,1598,1608,1612,1623,1635,1652,1669,1684,1694,1706,1719,1732,1750,1764,1781,1789,1800,1816,1840,1860,1877,1889,1901,1919,1934,1950,1962,1980,2002,2018,2033,2050,2069,2091,2104,2124,2137,2155,2176,2196,2214,2224,2245,2255,2270,2291,2301,2312,2325,2338,2354,2380,2400,2420,2439,2453,2471,2492,2513,2526,2542,2560,2593,2621,2649,2671,2699,2733,2765,2791,2821,2853,2897,2933,2959,2989,3030,3072,3100,3139,3174,3198,3235,3266,3303,3335,3365,3407,3465,3509,3555,3596,3640,3693,3745,3807,3857,3915,3997,4064,4133,4202,4277,4351,4434,4505,4575,4656,4752,4846,4924,5019,5102,5208,5283,5361,5453,5544,5645,5765,5874,5963,6081,6215,6369,6486,6672,6866,7048,7239,7464,7699,7946,8179,8420,8648,8898,9168,9410,9657,9908,10140,10406,10702,10974,11280,11609,11895,12204,12495,12825,13115,13442,13728,14035,14327,14640,14960,15241,15543,15848,16159,16457,16800,17156,17473,17817,18157,18522,18892,19276,19693,20066,20485,20909,21348,21764,22219,22635,23093,23550,23973,24412,24856,25313,25783,26246,26733,27263,27782,28305,28820,29423,30014,30587,31150,31735,32359,33064,33726,34395,35033,35763,36504,37230,37961,38736,39521,40243,41001,41806,42589,43441,44265,45171,46113,47040,48034,49000,50059,51157,52343,53556,54863,56255,57593,59025,60504,61912,63403,65005,66689,68367,70045,71664,73395,75211,76979,78861,80656,82603,84528,86425,88274,90255,92292,94355,96369,98375,100565,102673,104814,107138,109466,111652,113938,116198,118516,120903,123312,125893,128364,130848,133260,135782,138379,140966
1,1,1,1,3,5,5,5,6,9,12,12,12,16,17,18,20,23,23,27,34,37,41,48,54,57,64,67,76,79,82,89,93,97,98,105,108,114,117,122,133,138,145,149,158,162,172,178,188,199,204,210,213,225,239,250,254,260,271,282,289,296,304,321,328,341,356,362,368,375,384,398,412,422,432,440,454,468,484,499,514,522,531,545,553,563,574,589,602,613,627,641,650,671,690,701,715,728,746,758,783,795,824,840,869,901,930,947,971,1008,1032,1057,1095,1130,1168,1207,1244,1284,1317,1366,1403,1443,1494,1533,1588,1636,1694,1739,1791,1849,1912,1983,2033,2103,2166,2227,2295,2379,2450,2519,2605,2663,2750,2817,2897,2976,3045,3126,3222,3316,3399,3506,3598,3682,3778,3874,3992,4088,4223,4327,4444,4558,4656,4780,4907,5037,5134,5240,5351,5457,5587,5703,5842,5984,6117,6267,6411,6550,6674,6829,6963,7121,7259,7389,7540,7717,7876,8036,8218,8401,8582,8784,8978,9181,9371,9572,9771,9983,10179,10412,10619,10842,11083,11299,11536,11779,12035,12295,12548,12797,13075,13366,13637,13934,14228,14499,14813,15122,15437,15737,16076,16426,16771,17140,17489,17856,18248,18659,19089,19507,19926,20344,20738,21171,21619,22064,22503,22969,23481,23942,24449,24958,25444,25954,26482,27010,27530,28083,28660,29213,29766,30332,30910,31481,32075,32683,33307,33951,34605,35231,35831,36506,37163,37877,38593,39291,40064,40770,41534,42374,43144,43926,44728,45544,46339,47178,48049,48886,49690,50529,51474,52351,53284,54124,55080,55994,56896,57857,58768,59685,60669,61651,62659,63622,64597,65576,66567,67668,68691,69733,70774,71800,72854,73900,74947,76062,77222,78310,79496,80677,81863,83049,84233,85418,86603,87805,89018,90296,91532,92792,94043,95463,96832,98208,99581,100923,102348,103768,105207,106606,108104,109656,111116,112644,114241,115853,117493,119213,120912,122657,124412,126276,128071,129990,131971,133890,135812,137873,139948,142109,144298,146448,148772,151185,153650,156089,158571,161030,163520,166146,168827,171521,174304,177206,180084,183012,186027,189208,192353,195630,198906,202258,205621,209109,212585,216163,219739,223335,227075,230711,234449,238236,242211,246222,250337,254483,258715,263000,267445,271885,276428,281095,285922,290596,295381,300293,305387,310608,315797,321053,326484,332128,337708,343317,349058,355067,361042,367277,373443,379845,386171,392656,399160,405865,412782,419822,427132,434463,441956,449449,457243,465062,472955,481149,489395,497670,505996,514674,523468,532370,541457,550577,559873,569101,578816,588552,598477,608588,618631,628944,639232,649878,661014,672112,683146,694262,705582,717031,728707,740664,752739,765026,777426,789832,802665,815701,828726,842048,855382,868774,882429,896181,910332,924650,939159,953847,968732,984039,999352,1014906,1030602,1046519,1062766,1078986,1095469,1112092,1129322,1146465,1163523,1181347,1199150,1217036,1235360,1253626,1272389,1291429,1310410,1329565,1348869,1368169,1387650,1407341,1427402,1447388,1467590,1488128,1508602
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1,1,1,1,1,1,1,1,4,6,7,11,12,12,12,13,14,18,19,22,25,29,32,34,35,39,39,43,46,48,53,56,60,64,70,70,73,75,80,89,94,97,99,102,107,110,114,123,128,137,143,145,148,152,157,161,169,173,183,192,205,212,219,227,237,247,262,270,273,279,292,303,313,320,331,336,346,352,362,372,378,385,390,395,402,415,429,437,457,467,476,486,492,500,511,523,538,545,556,565,582,592,601,618,627,642,654,668,677,691,714,732,751,771,786,803,818,842,865,891,909,938,956,989,1005,1029,1049,1067,1087,1107,1128,1140,1157,1171,1193,1210,1223,1241,1271,1297,1312,1335,1354,1384,1403,1422,1439,1450,1468,1485,1507,1528,1541,1556,1571,1591,1608,1625,1645,1664,1689,1718,1745,1773,1789,1807,1829,1851,1867,1893,1916,1936,1967,1997,2027,2056,2088,2113,2143,2166,2184,2208,2226,2254,2282,2301,2317,2338,2360,2378,2404,2430,2463,2477,2494,2504,2524,2544,2565,2577,2596,2617,2639,2651,2667,2695,2719,2738,2762,2781,2811,2840,2870,2897,2916,2936,2962,2983,3002,3021,3039,3065,3100,3124,3154,3183,3225,3259,3290,3324,3359,3400,3439,3480,3525,3560,3624,3666,3704,3749,3802,3847,3893,3942,4005,4067,4131,4189,4238,4307,4375,4446,4511,4596,4669,4749,4847,4932,5028,5123,5200,5308,5415,5501,5586,5685,5780,5901,6012,6129,6269,6383,6481,6630,6800,6941,7088,7241,7400,7586,7730,7915,8097,8277,8447,8619,8814,9027,9205,9395,9598,9782,9995,10235,10490,10732,10977,11237,11487,11769,12113,12446,12789,13112,13456,13833,14216,14631,15063,15484,15939,16394,16874,17352,17818,18328,18839,19389,19982,20583,21172,21762,22436,23128,23855,24574,25347,26113,26905,27699,28440,29255,30017,30758,31558,32353,33123,33891,34751,35543,36380,37205,38025,38849,39695,40544,41479,42385,43278,44183,45050,46043,47018,48014,49048,50060,51075,52101,53125,54200,55296,56389,57494,58624,59745,60924,62129,63392,64668,65937,67194,68491,69827,71181,72580,73985,75395,76942,78449,79999,81547,83204,84861,86510,88215,89967,91825,93786,95768,97852,100062,102217,104464,106840,109298,111691,114153,116713,119338,121951,124672,127547,130315,133182,136137,139007,141961,145056,148174,151352,154635,157949,161317,164672,168167,171691,175219,178897,182664,186469,190325,194252,198238,202264,206329,210642,214853,219108,223438,227821,232409,237058,241709,246449,251270,256133,261091,266071,271134,276295,281567,286893,292148,297644,303312,308883,314603,320302,326210,332191,338168,344221,350348,356529,362888,369263,375625,382184,388880,395663,402586,409563,416662,423905,431097,438512,445964,453590,461230,468790,476516,484477,492695,500863,509184,517802,526359,534972,543688,552467,561293,570349,579440,588610,597844,607197,616639,626181,635990,645804,655822,665951,676122,686602,697054,707889,718727
1,1,1,1,1,2,2,2,2,2,3,3,3,6,6,6,6,6,6,7,7,7,9,10,13,17,20,23,25,26,27,30,30,31,36,36,40,41,43,46,50,53,55,58,62,64,64,66,71,72,74,76,79,81,82,83,85,90,95,98,102,102,106,108,110,113,115,118,120,123,127,130,132,134,134,136,141,141,143,143,144,147,149,153,156,157,160,161,165,169,170,171,172,174,176,178,181,184,185,185,188,190,192,194,197,200,202,204,209,211,213,216,216,219,222,223,224,225,225,226,227,227,229,232,233,233,234,235,239,240,243,249,251,254,254,259,266,271,281,296,304,312,319,331,340,356,375,390,408,432,452,472,493,521,554,585,625,659,689,728,770,796,837,874,907,947,967,1000,1034,1066,1100,1133,1172,1202,1233,1261,1297,1342,1382,1436,1485,1540,1593,1649,1721,1797,1891,1986,2086,2195,2322,2439,2586,2725,2872,3060,3232,3401,3564,3721,3890,4039,4210,4374,4560,4732,4895,5064,5223,5390,5589,5760,5942,6128,6314,6501,6710,6944,7154,7373,7608,7846,8058,8274,8532,8750,9048,9353,9647,9940,10269,10607,10933,11274,11572,11920,12260,12645,12996,13362,13717,14061,14441,14811,15194,15577,15971,16366,16768,17232,17692,18158,18618,19109,19619,20147,20684,21240,21793,22321,22907,23484,24037,24644,25239,25804,26344,27014,27620,28230,28955,29649,30338,31001,31739,32446,33196,33923,34746,35553,36348,37148,37986,38859,39731,40665,41535,42439,43364,44323,45315,46249,47186,48300,49407,50504,51658,52832,54005,55206,56443,57661,58953,60264,61645,62894,64271,65659,67089,68556,70005,71435,72961,74408,75837,77329,78935,80488,82022,83479,85020,86599,88189,89766,91362,92897,94470,96140,97718,99343,101006,102674,104338,106090,107803,109605,111285,113075,114906,116767,118613,120436,122401,124316,126343,128402,130543,132772,134985,137209,139487,141891,144222,146583,148941,151335,153788,156227,158747,161370,163895,166449,169153,171711,174437,177081,179806,182649,185413,188434,191407,194496,197567,200753,204020,207346,210727,214181,217760,221245,224914,228576,232409,236132,239908,243857,247911,251963,256001,260124,264304,268576,272729,277063,281465,285925,290453,294960,299638,304448,309355,314228,319200,324395,329578,334827,340157,345693,351499,357333,363209,369110,375145,381301,387586,393915,400331,406950,413539,420471,427439,434626,442087,449482,456822,464413,472236,480051,488055,496092,504122,512190,520512,528906,537368,545981,554747,563507,572497,581558,590847,600258,609776,619442,629231,639047,648849,658883,668981,679164,689472,699880,710229,720812,731599,742339,753275,764276,775595,787072,798506,810265,822218,833959,846026,858328,870964,883727,896626,909441,922366,935482,948773,962219,975832,989823,1003833,1017996,1032179,1046377,1060986,1075551,1090049,1105032,1119820,1134918,1150241,1165598,1181152,1196661,1212312,1228019,1243984,1260042,1276396,1292665,1309331
1,1,1,1,3,6,11,11,12,15,17,19,24,25,27,29,33,42,46,53,55,62,69,74,80,83,84,92,95,96,101,103,104,109,112,117,124,128,135,138,140,142,145,148,152,156,162,165,170,175,179,185,192,195,207,213,218,222,225,231,233,236,242,251,257,261,265,273,283,294,300,305,308,315,322,327,340,351,362,375,385,392,408,423,447,465,485,504,527,539,559,571,591,608,628,643,662,677,695,711,727,745,757,767,783,795,815,838,852,871,880,898,919,933,957,979,1012,1037,1063,1082,1116,1137,1177,1211,1238,1273,1310,1357,1402,1448,1498,1547,1604,1656,1707,1750,1805,1844,1885,1943,2005,2058,2109,2158,2222,2284,2343,2421,2484,2549,2624,2686,2754,2826,2900,2977,3052,3130,3223,3323,3431,3535,3625,3726,3831,3937,4051,4178,4302,4437,4602,4762,4908,5101,5333,5545,5794,6003,6238,6478,6772,7058,7368,7679,7951,8238,8516,8784,9080,9388,9730,10091,10407,10720,11028,11354,11699,12085,12487,12918,13393,13854,14371,14844,15353,15863,16412,16917,17445,17973,18486,19001,19540,20091,20664,21223,21760,22345,22924,23527,24107,24738,25351,25900,26498,27121,27755,28416,29049,29695,30325,31021,31693,32374,33086,33749,34513,35257,35990,36701,37463,38267,39072,39936,40793,41665,42527,43458,44316,45178,46095,47011,47944,48928,49871,50823,51840,52834,53832,54804,55845,56949,58051,59115,60257,61373,62501,63690,64811,65974,67163,68388,69541,70756,71987,73261,74506,75810,77087,78433,79739,81099,82464,83922,85329,86775,88149,89545,91056,92572,94118,95582,97195,98885,100537,102348,104119,105923,107798,109618,111458,113360,115296,117249,119323,121396,123573,125781,127943,130152,132371,134665,137080,139463,141950,144441,147003,149518,152058,154589,157311,160018,162742,165424,168355,171178,174006,176921,179802,182873,185846,188990,192050,195119,198241,201347,204602,207828,211222,214666,218176,221783,225477,229059,232831,236606,240510,244427,248418,252511,256623,260822,265157,269540,273945,278499,283061,287721,292322,297103,301744,306525,311332,316200,321089,325937,330848,335917,341146,346270,351479,356844,362227,367736,373162,378764,384375,390223,396157,402101,408055,414067,420376,426511,432797,439230,445909,452767,459864,467014,474355,481524,488898,496272,503894,511602,519377,527339,535420,543664,551943,560444,569001,577567,586605,595585,604863,614279,623497,632970,642566,652398,662386,672303,682315,692376,702339,712572,722869,733471,744046,754922,765762,776788,787949,799401,810850,822350,834067,846277,858391,870766,883232,895928,908773,921760,934948,948353,961739,975302,989149,1003072,1017211,1031732,1046382,1061035,1076094,1091336,1106589,1121962,1137602,1153330,1169360,1185309,1201656,1217740,1233884,1250548,1267034,1283871,1300701,1317864,1334882,1352123,1369513,1387250,1404931,1422771,1441053,1459443,1477989,1496909,1515749,1534998,1554181,1573464,1592842,1612427,1632243,1652180,1672121,1692171,1712439,1732801,1753119,1773616,1794305,1814888,1835381,1855998,1877037,1898213,1919297,1940882,1962261,1983885,2005448
1,1,2,4,4,8,12,13,15,15,17,18,25,27,28,29,32,36,38,39,40,42,43,47,55,56,58,60,62,65,67,71,72,73,80,89,92,105,109,112,115,123,127,133,138,148,155,157,157,166,172,182,183,193,196,203,208,214,219,224,227,232,237,244,246,249,255,258,265,270,275,281,286,291,294,301,304,308,315,319,322,323,330,339,343,347,352,357,360,365,367,373,379,384,391,398,406,417,424,431,435,442,451,461,467,471,485,494,498,503,506,516,522,529,535,545,557,566,575,590,606,617,633,640,653,666,677,692,703,720,754,783,812,828,858,895,938,977,1014,1056,1093,1129,1162,1200,1233,1265,1302,1332,1369,1404,1449,1491,1530,1575,1625,1670,1709,1764,1822,1869,1907,1947,1995,2041,2097,2145,2201,2265,2338,2412,2496,2568,2659,2738,2822,2903,2987,3081,3150,3238,3352,3445,3543,3639,3731,3832,3927,4024,4133,4231,4332,4445,4544,4672,4788,4903,5018,5113,5238,5352,5479,5612,5765,5917,6045,6190,6359,6517,6679,6844,7006,7194,7376,7578,7759,7962,8141,8354,8560,8752,8974,9202,9435,9685,9939,10154,10429,10746,11013,11301,11602,11908,12174,12452,12775,13086,13467,13818,14210,14564,14912,15274,15643,16025,16417,16862,17283,17688,18085,18533,18969,19394,19854,20299,20769,21243,21709,22222,22703,23162,23650,24157,24636,25188,25709,26226,26809,27408,27998,28613,29222,29862,30505,31159,31820,32524,33274,34041,34777,35557,36381,37178,38056,38877,39796,40692,41645,42615,43646,44636,45612,46634,47707,48840,49949,51052,52213,53315,54511,55653,56919,58079,59309,60611,61946,63208,64521,65879,67293,68670,70032,71465,72896,74292,75814,77343,78826,80299,81806,83329,84903,86458,88134,89786,91496,93211,94951,96696,98513,100422,102227,104110,106045,107953,109923,111909,113960,115941,118006,120090,122345,124610,126881,129269,131717,134176,136763,139410,142063,144775,147575,150365,153143,156073,159089,162051,165042,168065,171178,174248,177351,180487,183750,187107,190358,193729,197040,200460,203922,207540,210964,214624,218341,222021,225824,229666,233564,237436,241563,245791,250011,254384,258747,263170,267829,272331,276962,281631,286395,291352,296388,301535,306715,312016,317405,322701,328336,333997,339625,345574,351606,357990,364301,370766,377407,383976,390980,397965,404968,412239,419825,427247,434940,442732,450786,458988,467359,475947,484511,493440,502466,511639,520918,530349,539989,549636,559331,569302,579219,589479,599879,610253,620809,631407,641978,652907,663670,674786,686161,697315,708762,720137,731755,743355,755053,766789,778808,790717,802766,815020,827111,839671,852119,864574,877550,890546,903441,916213,929419,942689,956114,969622,983319,997155,1011039,1025122,1039392,1053582,1067846,1082387,1097048,1111694,1126597,1141648,1156707,1172088,1187767,1203557,1219650,1235686,1251959,1268344,1285011,1301658,1318622,1335812,1353284,1370638,1388391,1406245,1424295,1442304,1460329,1478718,1497321,1516113,1534849
1,1,1,1,2,2,4,5,6,8,8,13,15,16,18,20,20,21,21,22,24,25,30,33,37,41,46,54,60,62,68,71,82,90,95,99,105,109,116,122,134,150,155,160,172,183,197,207,221,230,241,248,260,273,281,294,303,313,322,329,337,346,353,361,367,373,382,391,398,408,414,424,434,440,449,454,463,472,483,497,514,529,540,557,573,587,605,615,621,634,640,658,671,683,699,718,737,751,768,788,807,821,837,864,882,898,918,934,946,964,976,1000,1018,1044,1067,1084,1103,1120,1133,1157,1176,1196,1220,1237,1266,1291,1312,1328,1343,1368,1394,1410,1431,1454,1473,1492,1513,1529,1546,1568,1590,1615,1632,1655,1664,1694,1721,1737,1760,1787,1817,1838,1857,1875,1896,1921,1945,1971,1993,2016,2035,2064,2098,2123,2146,2169,2195,2222,2241,2265,2295,2327,2360,2387,2408,2446,2469,2505,2533,2560,2585,2612,2638,2662,2690,2729,2768,2801,2820,2843,2869,2896,2924,2954,2994,3032,3072,3114,3155,3191,3223,3260,3294,3333,3381,3433,3478,3508,3544,3580,3616,3648,3699,3735,3769,3798,3842,3886,3910,3952,4002,4051,4102,4141,4189,4228,4272,4309,4362,4409,4457,4518,4572,4630,4692,4741,4798,4859,4931,4990,5060,5123,5182,5238,5318,5386,5442,5512,5577,5633,5675,5734,5784,5838,5884,5945,6011,6057,6108,6158,6204,6258,6308,6362,6421,6473,6522,6566,6620,6667,6717,6781,6847,6896,6955,7010,7067,7103,7157,7213,7280,7334,7378,7428,7472,7528,7571,7611,7659,7707,7749,7817,7864,7928,7994,8071,8134,8187,8231,8303,8385,8445,8503,8553,8609,8669,8730,8793,8851,8904,8958,9016,9063,9124,9178,9227,9276,9325,9374,9427,9488,9543,9607,9675,9735,9790,9855,9910,9985,10056,10140,10236,10353,10472,10570,10682,10806,10927,11053,11185,11323,11437,11554,11664,11761,11899,12018,12127,12247,12357,12472,12582,12694,12792,12896,13000,13115,13233,13351,13466,13576,13710,13830,13954,14062,14179,14299,14431,14561,14690,14831,14973,15132,15293,15447,15627,15794,15961,16108,16250,16418,16610,16771,16929,17085,17242,17407,17565,17716,17877,18044,18190,18311,18435,18587,18735,18867,19005,19148,19304,19445,19604,19756,19889,20029,20170,20309,20454,20607,20736,20895,21048,21189,21376,21536,21698,21877,22047,22208,22381,22557,22733,22898,23083,23276,23487,23675,23860,24079,24315,24523,24742,24979,25216,25445,25683,25927,26190,26447,26730,27017,27299,27605,27922,28223,28530,28861,29204,29537,29897,30239,30631,30986,31369,31742,32147,32537,32969,33390,33807,34188,34601,35032,35469,35934,36384,36859,37332,37789,38258,38765,39266,39770,40342,40927,41533,42097,42719,43299,43883,44494,45169,45838,46491,47173,47932,48637,49394,50116,50900,51643,52420,53269,54084,54921,55746,56610
1,1,2,5,6,7,7,7,8,12,16,17,17,20,21,26,29,30,31,34,37,41,44,49,53,55,58,60,62,70,75,78,83,85,94,100,104,110,113,118,127,133,138,143,151,158,164,174,175,188,194,204,208,211,221,230,237,244,254,260,272,285,295,304,310,322,335,342,349,361,376,390,408,420,438,455,476,483,505,530,562,597,621,655,682,722,757,802,833,880,917,959,991,1029,1068,1111,1150,1185,1236,1265,1288,1325,1360,1384,1415,1439,1468,1495,1521,1556,1583,1603,1633,1663,1682,1701,1716,1736,1756,1771,1797,1825,1844,1858,1887,1906,1930,1955,1977,1999,2035,2062,2086,2107,2142,2169,2210,2244,2276,2311,2349,2387,2422,2455,2494,2532,2577,2611,2633,2677,2714,2757,2791,2836,2893,2945,3024,3077,3148,3207,3277,3357,3460,3570,3662,3758,3848,3938,4033,4132,4217,4322,4407,4507,4606,4705,4801,4913,5004,5088,5205,5310,5415,5509,5618,5721,5827,5928,6054,6159,6270,6371,6476,6552,6662,6755,6855,6944,7044,7151,7242,7335,7414,7518,7627,7728,7841,7959,8060,8178,8312,8428,8555,8657,8794,8911,9039,9181,9334,9468,9635,9799,9979,10164,10345,10563,10795,11030,11263,11536,11831,12119,12396,12731,13052,13404,13714,14054,14427,14791,15197,15557,15927,16302,16661,17044,17403,17780,18143,18531,18886,19345,19784,20204,20644,21074,21564,22064,22575,23041,23543,24057,24568,25061,25604,26142,26740,27318,27962,28605,29238,29874,30497,31138,31799,32461,33094,33800,34437,35062,35732,36447,37166,37858,38560,39314,40052,40786,41567,42339,43160,43964,44808,45625,46469,47372,48252,49186,50039,50941,51876,52797,53698,54663,55618,56579,57513,58486,59516,60586,61606,62722,63820,64960,66070,67238,68486,69693,70978,72314,73642,74931,76338,77712,79070,80447,81800,83167,84639,86138,87632,89162,90747,92249,93859,95455,97083,98652,100328,102051,103779,105523,107389,109207,111182,113133,115122,117210,119272,121357,123416,125487,127669,129883,132099,134364,136706,139090,141618,144100,146758,149317,151863,154528,157265,160079,162936,165869,168831,171931,175060,178249,181566,184912,188308,191772,195231,198753,202438,206162,209902,213621,217544,221345,225333,229340,233332,237315,241293,245328,249371,253611,257931,262222,266644,271109,275692,280343,285124,290000,294788,299854,304954,310096,315339,320625,326033,331599,337129,342799,348547,354424,360255,366077,372041,378291,384480,390811,397041,403355,409723,416215,422677,429467,436371,443327,450477,457613,464723,471845,479245,486736,494114,501744,509629,517529,525518,533575,541884,550144,558719,567365,576129,585043,594016,603245,612581,622149,631713,641483,651328,661294,671334,681583,691997,702640,713245,724101,735124,746284,757590,769276,780934,792737,804852,816756,828946,841367,853884,866657,879635,892962,906568,920130,933876,947978,962249,976664,991243,1005877,1020579,1035416,1050477,1065750,1080856,1096209,1111903,1127693,1143744,1160164,1176564,1193185,1210102,1227045,1244097,1261381,1278784
1,1,1,1,2,2,2,5,8,8,9,12,14,16,16,17,18,19,19,20,22,27,28,31,33,35,37,43,44,48,52,55,58,62,67,76,80,85,92,100,108,115,124,133,138,153,161,170,182,191,203,214,222,234,244,255,268,283,290,303,312,324,334,349,356,364,379,391,406,422,437,450,465,477,500,514,529,547,563,583,596,606,613,627,645,661,674,685,708,721,738,760,774,794,822,848,873,896,926,945,977,1003,1042,1063,1094,1115,1146,1180,1217,1243,1280,1321,1350,1383,1410,1447,1475,1514,1560,1605,1646,1681,1718,1759,1800,1861,1907,1962,2011,2063,2118,2177,2238,2299,2357,2431,2516,2589,2663,2749,2823,2916,3036,3131,3238,3331,3455,3564,3697,3816,3968,4091,4229,4370,4535,4705,4876,5058,5230,5386,5555,5750,5935,6115,6312,6488,6688,6883,7075,7260,7465,7653,7858,8066,8247,8443,8646,8836,9050,9248,9471,9701,9929,10158,10407,10636,10883,11139,11384,11626,11904,12201,12495,12813,13164,13486,13800,14133,14468,14801,15205,15566,15968,16367,16787,17204,17614,18056,18508,18996,19462,19959,20459,20952,21492,21998,22586,23159,23729,24296,24866,25465,26062,26690,27342,27991,28644,29358,30017,30696,31413,32151,32896,33623,34385,35187,36029,36839,37693,38550,39414,40255,41157,42035,42991,43947,44866,45779,46835,47872,48902,49898,50972,52102,53273,54418,55565,56750,58002,59268,60602,61927,63225,64593,65963,67374,68730,70198,71677,73181,74725,76340,77985,79665,81382,83153,84890,86641,88381,90231,92119,93968,95834,97718,99722,101790,103785,105755,107767,109827,112047,114258,116544,118833,121146,123526,125942,128376,130915,133475,136002,138654,141333,144104,146943,149752,152620,155658,158749,161967,165046,168318,171649,175037,178545,182218,185824,189529,193090,196728,200523,204228,207956,211841,215784,219748,223725,227867,232021,236261,240581,245065,249568,254205,258949,263792,268956,274022,279089,284475,289772,295307,300987,306660,312352,318156,324227,330047,336285,342328,348556,354828,361134,367544,374252,381156,387943,394918,401961,409425,416885,424598,432184,440037,448036,456361,464748,473296,481961,490977,499904,509060,518191,527462,537151,546803,556574,566158,575842,585805,595725,605835,615992,626413,637122,647808,658586,669687,680572,691716,702990,714435,726013,737567,749441,761574,773834,786130,798468,810865,823725,836862,849716,862937,876157,889471,903133,916897,930763,944992,959091,973653,988194,1003158,1018292,1033381,1048606,1064345,1080042,1095906,1112046,1128261,1144666,1161481,1178235,1195043,1212278,1229829,1247379,1265130,1283059,1301143,1319293,1337693,1356410,1375459,1394239,1413373,1432532,1452002,1471444,1491324,1511304,1531505,1552177,1572576,1593104,1613933,1635217,1656464,1677896,1699563,1721403,1743441,1765576,1787940,1810541,1833481,1856463,1879347,1902011,1924808,1948036,1971537,1995088,2018907,2042883,2066786,2091118,2115680,2140170,2164883,2189712,2214730,2240110,2265173,2290346,2315507,2340964,2366510,2392112,2417796,2443495,2469216,2495367,2521517,2547737,2573896,2599939,2626304,2652707,2679266,2705466,2732281,2758864,2785847,2812822
1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,5,5,6,7,7,8,8,9,9,11,12,12,14,15,15,16,16,17,17,17,17,17,17,17,17,18,20,20,22,22,23,24,25,27,27,28,30,30,30,30,30,31,33,33,34,34,34,35,36,37,37,39,43,43,44,44,44,44,48,49,51,52,52,52,52,52,52,53,58,59,63,67,69,74,80,86,93,98,107,112,123,134,139,152,166,181,199,211,235,250,268,288,305,320,338,364,385,403,426,444,458,477,495,516,537,553,566,587,605,627,655,690,715,746,782,836,876,918,960,993,1038,1092,1137,1183,1239,1280,1340,1403,1446,1491,1558,1616,1681,1728,1793,1849,1907,1970,2025,2086,2153,2217,2273,2348,2422,2499,2568,2660,2745,2847,2924,3006,3067,3146,3249,3347,3426,3529,3639,3747,3871,4007,4125,4274,4426,4576,4724,4894,5065,5249,5434,5640,5836,6038,6257,6451,6682,6913,7184,7433,7704,8001,8273,8568,8869,9195,9531,9826,10175,10458,10786,11140,11503,11892,12310,12762,13181,13608,14075,14538,15036,15507,16000,16501,16987,17533,18080,18617,19128,19675,20250,20797,21324,21878,22486,23084,23678,24335,24974,25688,26353,27037,27758,28463,29248,30002,30753,31498,32237,33035,33866,34696,35444,36282,37147,38007,38898,39867,40836,41819,42738,43770,44748,45759,46781,47792,48854,49892,50992,52004,53047,54119,55196,56297,57443,58576,59736,60943,62227,63449,64710,66001,67242,68460,69815,71223,72617,74039,75490,76961,78506,80057,81641,83246,84934,86592,88283,89993,91736,93596,95518,97416,99371,101256,103266,105266,107379,109422,111469,113714,115892,118051,120306,122550,124793,127145,129517,131968,134296,136798,139343,141930,144449,147081,149848,152595,155447,158365,161301,164217,167210,170249,173384,176513,179648,182971,186320,189734,193100,196678,200151,203712,207438,211308,215127,219045,222987,227057,231131,235221,239493,243724,248055,252475,257091,261748,266433,271066,275906,280883,285984,291153,296411,301720,307154,312711,318335,324183,329902,335876,341771,347843,354099,360468,366883,373312,379849,386386,393116,399904,406717,413617,420688,427839,435197,442452,449826,457205,464743,472601,480534,488586,496810,504949,513232,521740,530199,538828,547711,556727,565831,575016,584217,593791,603546,613326,623329,633520,643833,654200,664656,675279,686206,697259,708276,719667,731227,743051,755130,767428,779691,792289,805110,818051,831062,844366,857838,871441,885524,899550,913757,927926,942646,957499,972394,987355,1002733,1018276,1033905,1049511,1065458,1081486,1097858,1114323,1130680,1147030,1163704,1180370,1197596,1214902,1232441,1249724,1267545,1285361,1303445,1321548,1339869,1358740,1377516,1396669,1416071,1435330,1454946,1474859,1495078,1515767,1536538,1557341,1578636,1599861,1621237,1642911,1664722,1686705,1708681,1730813,1752885,1775127,1797776,1820534,1843672,1866878,1890179,1913323,1936647,1960134,1983876,2007444,2031477,2055539,2079665,2103978,2128226,2152448,2177050
1,1,2,2,3,3,4,6,8,9,11,15,16,19,20,23,26,31,33,37,41,45,49,55,68,75,79,86,94,104,110,120,124,127,133,138,144,151,156,167,170,173,180,182,188,190,191,195,200,207,211,214,215,219,226,229,233,237,245,250,255,260,263,267,271,276,281,284,286,287,295,298,307,310,316,323,324,328,335,343,353,361,370,377,381,385,390,392,397,404,413,422,433,442,446,450,454,460,466,479,482,484,493,501,509,518,529,538,543,547,552,558,562,570,575,583,592,598,603,609,611,615,620,625,629,635,638,648,651,660,668,675,678,687,689,689,692,693,698,704,711,716,720,725,732,739,744,747,749,753,758,763,768,773,777,789,796,800,806,813,821,832,841,849,855,863,865,873,879,887,896,901,915,922,930,941,956,973,983,995,1008,1023,1034,1041,1057,1076,1090,1098,1102,1120,1129,1140,1155,1167,1179,1191,1197,1207,1215,1229,1238,1253,1265,1278,1297,1309,1321,1341,1350,1364,1378,1400,1416,1443,1463,1481,1499,1521,1538,1554,1572,1592,1611,1626,1649,1674,1697,1712,1730,1750,1776,1807,1838,1864,1888,1918,1951,1990,2023,2051,2092,2120,2150,2183,2213,2249,2288,2331,2371,2403,2434,2463,2494,2521,2552,2587,2631,2665,2700,2737,2778,2821,2858,2881,2921,2960,2992,3037,3072,3113,3147,3194,3241,3290,3341,3392,3445,3484,3541,3593,3662,3728,3782,3849,3914,3996,4054,4137,4220,4294,4385,4469,4547,4632,4734,4820,4904,5014,5137,5239,5334,5431,5526,5621,5731,5814,5926,6027,6112,6199,6312,6415,6525,6603,6684,6781,6877,6967,7048,7144,7228,7325,7441,7541,7645,7754,7860,7962,8061,8176,8274,8379,8478,8593,8708,8824,8927,9053,9179,9274,9388,9511,9637,9767,9892,10045,10190,10333,10450,10593,10739,10893,11057,11211,11363,11530,11704,11883,12045,12213,12386,12570,12771,12953,13170,13376,13612,13817,14069,14328,14574,14823,15051,15318,15570,15848,16092,16368,16610,16913,17183,17472,17751,18015,18343,18640,18983,19310,19656,20047,20417,20804,21202,21624,22061,22507,22935,23381,23833,24353,24878,25411,25932,26519,27096,27662,28275,28929,29560,30186,30817,31411,32106,32839,33520,34246,34988,35756,36473,37241,37996,38758,39567,40408,41330,42198,43174,44164,45108,46095,47144,48244,49299,50349,51416,52519,53644,54762,55928,57059,58248,59418,60614,61858,63084,64244,65480,66727,67996,69320,70573,71879,73207,74544,75882,77322,78792,80237,81715,83243,84814,86368,88008,89574,91243,92880,94594,96334,98058,99864,101713,103609,105546,107434,109400,111401,113428,115470,117666,119749,121869,124048,126209,128484,130707,132985,135381,137783,140227,142679,145060,147460,149935,152484,155086,157779,160452
1,1,1,1,1,1,2,3,5,5,5,7,8,9,12,14,17,20,27,33,38,41,48,53,59,64,70,74,77,85,92,96,102,111,118,122,128,134,140,145,151,154,160,167,176,180,187,191,199,204,211,216,223,228,234,245,253,260,276,290,300,318,332,344,353,368,376,392,407,422,442,466,485,511,532,565,584,609,634,672,696,724,748,790,819,854,876,902,926,953,974,1006,1026,1061,1090,1120,1155,1191,1222,1252,1293,1322,1360,1397,1434,1470,1515,1568,1604,1644,1688,1730,1787,1833,1873,1919,1974,2036,2092,2148,2198,2261,2321,2374,2429,2483,2529,2585,2644,2693,2747,2797,2862,2925,2966,3019,3091,3147,3221,3291,3361,3431,3521,3605,3692,3787,3888,4003,4118,4230,4327,4433,4552,4675,4815,4959,5107,5288,5426,5586,5754,5909,6095,6271,6444,6647,6851,7035,7226,7449,7680,7886,8077,8315,8544,8753,8988,9194,9432,9674,9917,10164,10419,10669,10922,11210,11499,11851,12176,12470,12854,13201,13569,13956,14366,14795,15229,15710,16188,16710,17269,17863,18399,18970,19564,20153,20778,21432,22088,22767,23462,24202,24927,25752,26548,27386,28309,29238,30183,31178,32212,33203,34240,35345,36405,37439,38533,39551,40586,41645,42721,43707,44788,45842,46860,47938,48961,49989,51012,52125,53223,54323,55362,56496,57508,58624,59777,61007,62198,63544,64862,66325,67710,69172,70667,72157,73737,75348,76881,78436,80065,81614,83233,84994,86659,88387,90157,91915,93633,95484,97288,99083,100981,102895,104950,106993,109068,111142,113309,115443,117644,119862,122129,124504,126890,129167,131642,134099,136697,139221,141741,144178,146747,149306,151896,154511,157197,159823,162538,165193,167932,170715,173590,176481,179294,182262,185221,188229,191361,194452,197544,200651,203762,207001,210284,213684,216980,220481,224023,227534,231050,234750,238475,242404,246379,250230,254301,258502,262661,266918,271322,275832,280407,285104,289736,294610,299559,304555,309658,314892,320250,325707,331348,337093,342910,348798,354710,360843,367029,373090,379340,385716,392065,398663,405239,412042,418807,425929,432925,440220,447457,454879,462524,470109,477957,485638,493609,501753,509920,518384,526915,535816,544926,554008,563129,572290,581778,591348,601231,611131,621213,631755,642295,652842,663664,674713,685888,696917,708054,719475,731082,742918,754877,766922,779236,791496,804006,816454,829231,841976,854821,867979,881392,894855,908443,922303,936022,950144,964266,978677,993165,1007938,1022829,1037880,1053056,1068247,1083854,1099727,1115634,1131709,1147869,1164051,1180603,1197586,1214257,1231498,1248756,1266107,1283595,1301410,1319336,1337468,1355804,1374280,1393366,1412138,1431176,1450190,1469338,1488663,1508396,1528247,1548056,1567825,1588119,1608254,1628791,1649557,1670355,1691252,1712446,1733563,1755150,1776721,1798241,1819982,1841797,1863946,1886017,1908372,1930558,1953084,1975689,1998411,2021029,2043550,2066772,2089869,2112966,2136331,2159645,2183082,2206436,2230508,2254399,2278761,2303008,2327557,2352139,2376431,2401022,2425549,2449960,2474449,2499215,2523850,2548829,2573621,2598940,2624095,2649366,2674478,2699806,2725469,2751215,2776478,2802343
1,1,1,1,1,2,2,5,5,6,6,6,7,7,8,8,9,10,13,13,13,15,16,22,24,27,30,34,36,41,45,49,53,57,60,61,62,65,66,71,73,77,80,86,91,95,98,101,104,112,122,130,135,140,144,151,157,161,165,172,177,183,186,193,200,204,212,218,226,232,239,252,261,270,278,289,296,304,309,318,327,336,340,355,377,382,387,397,407,415,421,439,461,474,489,497,508,524,533,543,555,567,580,594,608,623,645,664,691,709,720,737,748,763,781,799,810,826,841,857,865,887,906,923,946,971,982,1000,1014,1038,1056,1065,1089,1110,1130,1156,1176,1197,1226,1265,1292,1316,1349,1382,1405,1430,1456,1479,1521,1560,1595,1636,1665,1696,1729,1758,1793,1821,1860,1903,1937,1970,1999,2033,2066,2108,2165,2213,2254,2281,2321,2364,2398,2435,2468,2501,2553,2601,2631,2673,2708,2748,2780,2818,2861,2894,2940,2980,3025,3056,3092,3134,3163,3197,3252,3289,3346,3392,3433,3471,3528,3583,3625,3667,3714,3762,3817,3862,3902,3952,4000,4040,4103,4162,4205,4257,4302,4342,4378,4427,4478,4533,4580,4639,4692,4739,4787,4829,4871,4910,4952,5008,5048,5103,5159,5213,5255,5318,5370,5427,5478,5521,5573,5629,5687,5762,5823,5890,5951,6009,6069,6142,6209,6292,6373,6448,6518,6585,6644,6723,6801,6879,6980,7052,7121,7208,7276,7346,7439,7530,7625,7717,7791,7872,7954,8047,8148,8241,8356,8440,8533,8629,8726,8826,8933,9010,9113,9229,9343,9449,9563,9686,9807,9931,10050,10189,10317,10454,10597,10748,10899,11052,11199,11350,11520,11683,11874,12052,12217,12402,12593,12775,12956,13145,13325,13522,13722,13924,14150,14372,14579,14802,15026,15267,15491,15715,15961,16189,16449,16678,16925,17202,17479,17730,17990,18279,18549,18821,19102,19392,19674,19940,20230,20494,20775,21074,21381,21688,21976,22273,22572,22875,23194,23550,23883,24226,24591,24908,25264,25564,25948,26295,26660,27064,27504,27926,28336,28810,29251,29758,30262,30793,31285,31834,32425,33010,33607,34188,34823,35409,36007,36606,37242,37872,38502,39186,39847,40498,41131,41804,42494,43232,43940,44627,45357,46116,46893,47747,48625,49481,50310,51191,52126,53074,54070,55062,56102,57179,58181,59281,60319,61448,62518,63686,64798,65963,67076,68219,69463,70684,71935,73227,74580,75937,77354,78820,80235,81756,83335,84830,86418,87965,89611,91265,93015,94730,96405,98298,100086,101863,103694,105534,107387,109284,111146,113039,114963,116901,118866,120830,122917,124867,126949,129041,131246,133506,135669,137790,139891,142160,144463,146723,148971,151175,153533,155884,158367,160826,163316,165939,168537,171174,173834,176525,179285,182208,185077,188040,191051,194105,197124,200276,203531,206871,210198,213513,216888,220357,223811,227282,230894,234635,238546,242327,246304,250447,254571
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1,1,1,1,1,3,4,5,7,7,8,9,10,11,11,11,13,14,14,14,14,16,16,16,19,19,23,24,28,31,32,36,38,43,44,47,51,59,60,65,67,69,73,78,81,88,91,94,97,99,101,111,123,134,143,151,160,168,180,190,199,213,225,235,248,258,273,283,294,313,326,343,358,376,390,406,427,456,479,502,521,542,564,595,631,657,684,702,731,751,782,812,829,852,878,900,917,944,962,976,993,1010,1030,1044,1064,1081,1101,1123,1143,1160,1176,1195,1208,1216,1233,1248,1260,1273,1293,1318,1335,1357,1375,1396,1418,1442,1466,1487,1506,1536,1563,1597,1630,1657,1679,1716,1735,1770,1800,1838,1857,1895,1939,1973,2011,2050,2081,2106,2141,2167,2201,2247,2281,2316,2350,2392,2433,2465,2496,2528,2562,2600,2630,2665,2695,2739,2775,2810,2850,2882,2920,2946,2984,3030,3072,3102,3141,3183,3224,3268,3310,3361,3403,3458,3506,3550,3596,3635,3676,3719,3752,3794,3842,3893,3942,3992,4029,4077,4115,4161,4219,4271,4316,4359,4412,4468,4516,4560,4614,4676,4730,4781,4832,4877,4927,4994,5038,5085,5140,5180,5238,5289,5334,5375,5434,5495,5539,5588,5634,5694,5757,5803,5869,5919,5977,6015,6073,6139,6187,6243,6297,6350,6407,6470,6526,6585,6640,6709,6763,6823,6879,6937,7003,7062,7099,7146,7223,7306,7361,7430,7498,7559,7640,7697,7770,7854,7929,8010,8086,8178,8243,8326,8407,8487,8557,8641,8740,8820,8917,9016,9106,9217,9296,9408,9508,9624,9754,9879,9994,10117,10244,10366,10499,10644,10786,10946,11125,11287,11466,11635,11793,11987,12184,12383,12601,12784,12963,13159,13382,13579,13793,13995,14196,14406,14627,14804,14977,15175,15387,15570,15772,15958,16131,16344,16538,16726,16915,17096,17301,17511,17700,17914,18117,18331,18547,18793,19005,19248,19517,19754,20026,20297,20568,20856,21141,21437,21725,22035,22309,22593,22855,23162,23488,23792,24139,24459,24787,25096,25409,25751,26059,26403,26730,27105,27459,27830,28197,28584,28960,29373,29802,30272,30726,31213,31698,32146,32638,33152,33627,34077,34607,35119,35591,36022,36462,36926,37369,37835,38293,38751,39241,39757,40336,40894,41441,42054,42611,43186,43770,44394,45062,45743,46444,47106,47847,48592,49368,50085,50810,51605,52359,53130,53987,54824,55657,56528,57378,58201,59038,59922,60749,61602,62458,63325,64265,65216,66155,67160,68143,69145,70225,71282,72344,73471,74634,75797,76921,78161,79401,80652,81900,83185,84542,85953,87414,88922,90488,92117,93785,95485,97248,99042,100959,102774,104626,106520,108495,110391,112329,114218,116197,118059,120157,122263,124373,126533,128715,130890,133091,135362,137594,139896,142218,144601,147014,149577,152113,154717,157376,160060,162805,165648,168538,171599,174828,178040,181163,184414,187563,190962,194355,197881,201531,205233,208955,212620,216448
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1,1,1,1,2,3,6,7,10,11,12,12,13,14,14,15,16,20,21,23,24,25,26,27,31,33,36,40,43,52,58,66,70,74,79,83,87,91,97,102,118,121,131,143,152,159,167,176,184,194,207,224,241,263,289,319,352,379,409,451,487,515,569,604,647,699,738,778,835,878,915,958,991,1024,1063,1097,1141,1174,1214,1255,1291,1323,1354,1393,1419,1453,1482,1525,1551,1582,1613,1646,1689,1722,1764,1787,1814,1851,1903,1944,1987,2027,2062,2102,2155,2203,2250,2295,2331,2386,2432,2474,2522,2571,2602,2647,2693,2746,2803,2864,2908,2957,3009,3049,3104,3150,3202,3269,3338,3385,3448,3510,3573,3647,3706,3758,3821,3891,3969,4050,4126,4207,4280,4350,4435,4508,4590,4690,4798,4874,4951,5036,5126,5223,5311,5396,5490,5573,5654,5755,5845,5951,6049,6150,6241,6340,6428,6521,6612,6700,6798,6875,6979,7068,7172,7269,7367,7463,7554,7680,7799,7895,7994,8112,8225,8343,8471,8586,8716,8855,8984,9108,9242,9377,9508,9653,9784,9924,10082,10200,10348,10500,10652,10800,10923,11078,11226,11375,11529,11695,11856,12034,12193,12360,12546,12757,12965,13196,13417,13637,13872,14075,14290,14538,14791,15048,15347,15626,15896,16185,16457,16743,17030,17321,17611,17934,18266,18572,18871,19194,19545,19883,20211,20526,20874,21226,21591,21966,22326,22706,23139,23530,23970,24427,24855,25317,25783,26275,26761,27273,27807,28361,28871,29380,29950,30496,31063,31624,32203,32807,33397,33959,34527,35117,35683,36303,36970,37617,38250,38904,39620,40387,41158,41866,42580,43373,44103,44901,45728,46529,47354,48238,49135,50026,50942,51844,52737,53715,54704,55653,56586,57560,58541,59503,60558,61576,62707,63776,64886,65972,67136,68406,69612,70859,72205,73474,74891,76287,77675,79073,80532,82022,83461,84985,86557,88095,89588,91193,92744,94322,95890,97523,99191,100845,102567,104307,105983,107808,109656,111508,113330,115177,117124,118991,120940,122985,125114,127337,129577,131830,134115,136466,138861,141285,143782,146279,148859,151473,154102,156911,159720,162608,165622,168514,171509,174619,177764,180859,184056,187421,190804,194234,197727,201323,204996,208832,212676,216532,220548,224718,228896,233186,237488,241850,246298,250853,255407,260066,264749,269643,274385,279345,284209,289316,294373,299507,304784,310325,315748,321293,326986,332532,338354,344178,350022,356087,362264,368467,374848,381261,387813,394536,401388,408349,415325,422620,429940,437198,444754,452344,460014,467723,475563,483538,491699,499938,508181,516594,525290,533693,542487,551364,560423,569713,579025,588631,598124,607825,617709,627535,637561,647748,658109,668568,679197,690072,700823,711944,722937,734014,745359,756734,768264,779938,791611,803464,815480,827602,839882,852379,864860,877771,890759,903742,916918,930813,944616,958647,972827,987447,1002237,1017263,1032264,1047507,1063201,1078914,1094901,1111182,1127428,1144118,1160741,1177493,1194240,1211121,1228155,1245121,1262585,1279571,1296715,1314231,1331846,1349623,1367251,1385020,1402891,1420717,1438856
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1,1,1,1,1,1,3,5,6,8,11,13,14,15,16,17,17,20,21,23,28,32,39,44,50,57,65,70,80,86,91,99,106,118,125,138,148,154,160,168,178,187,196,209,220,230,240,249,258,264,282,298,314,322,330,339,347,358,370,386,397,402,413,422,432,447,453,458,469,483,494,511,523,538,551,565,583,593,614,631,660,687,711,744,769,798,834,867,904,935,978,1004,1046,1087,1118,1154,1194,1228,1262,1297,1320,1351,1382,1419,1455,1488,1526,1575,1614,1646,1693,1741,1785,1823,1851,1899,1941,1979,2006,2043,2078,2136,2175,2213,2250,2297,2332,2366,2395,2430,2454,2492,2524,2547,2572,2602,2625,2654,2672,2697,2728,2765,2791,2818,2841,2860,2884,2901,2923,2945,2964,2985,3010,3035,3055,3073,3089,3106,3119,3136,3158,3180,3201,3222,3245,3280,3299,3329,3358,3380,3415,3441,3473,3510,3546,3586,3622,3658,3698,3750,3781,3818,3867,3924,3989,4042,4089,4137,4207,4275,4329,4399,4464,4547,4626,4705,4788,4875,4937,5004,5079,5150,5232,5319,5401,5489,5570,5662,5766,5864,5974,6075,6172,6278,6384,6502,6641,6772,6914,7051,7183,7341,7488,7641,7803,7969,8128,8279,8431,8606,8764,8963,9134,9309,9504,9721,9916,10102,10301,10500,10730,10963,11200,11426,11676,11940,12191,12431,12699,12971,13257,13524,13814,14105,14438,14722,15018,15335,15682,16033,16387,16742,17097,17424,17800,18100,18504,18882,19295,19690,20105,20542,20974,21432,21878,22372,22832,23312,23825,24357,24886,25392,25994,26579,27164,27698,28287,28871,29479,30104,30780,31487,32133,32815,33474,34168,34925,35692,36443,37223,38018,38835,39626,40464,41223,41923,42685,43454,44274,45053,45857,46665,47473,48309,49128,49968,50780,51707,52702,53678,54649,55622,56625,57710,58774,59868,60951,62010,63169,64314,65497,66674,67856,69133,70386,71649,72899,74285,75659,77148,78610,80053,81469,82987,84444,85917,87469,89047,90694,92361,94071,95753,97507,99287,101109,103036,104970,106966,108947,111035,113140,115102,117249,119488,121736,123867,126169,128506,130833,133178,135740,138328,140935,143625,146307,149038,151872,154765,157798,160914,164002,167194,170497,173885,177243,180672,184223,187776,191373,194951,198825,202583,206368,210051,213872,217854,221715,225813,229920,234062,238329,242569,247000,251500,256075,260829,265568,270464,275442,280445,285426,290508,295703,300991,306281,311731,317210,322747,328543,334389,340291,346421,352463,358610,364992,371354,377846,384396,391130,397851,404717,411583,418693,425861,433160,440502,448005,455644,463372,471363,479390,487532,495936,504524,513179,521952,530933,539976,549372,558939,568425,578106,588054,597828,607752,617906,628152,638527,649175,659424,670015,680669,691305,702206,713329,724610,735668,747013,758870,770742,782657,794689,806923,819218,831591,844301,856951,869988,883191,896606,910178,923790,937703,951679,965949,980070,994475,1008941,1023666,1038581,1053848,1069187,1084611,1100183,1115975,1131970,1148030
1,1,1,1,1,1,1,1,1,1,3,5,5,7,11,11,11,11,12,13,15,18,18,19,20,24,25,27,30,32,36,39,41,46,51,56,60,62,66,71,75,78,84,88,95,104,109,115,123,130,140,146,151,164,178,195,200,211,223,231,244,253,269,281,298,311,323,343,356,377,390,414,434,444,454,480,495,507,523,540,563,588,619,641,667,698,717,733,752,780,811,836,870,901,934,977,1016,1066,1114,1155,1207,1264,1332,1394,1466,1522,1592,1665,1734,1802,1869,1943,2017,2087,2159,2229,2301,2367,2452,2527,2601,2666,2725,2826,2901,2980,3048,3135,3229,3297,3376,3470,3573,3676,3754,3850,3958,4039,4119,4220,4347,4466,4593,4705,4840,4986,5114,5256,5390,5572,5718,5878,6027,6198,6386,6561,6752,6941,7135,7293,7445,7623,7797,7981,8176,8346,8530,8702,8896,9104,9293,9490,9676,9878,10064,10283,10536,10751,10988,11200,11428,11668,11904,12170,12428,12652,12901,13204,13458,13722,13988,14248,14556,14845,15137,15448,15756,16048,16365,16663,16947,17255,17560,17867,18172,18478,18773,19109,19437,19757,20060,20354,20673,21002,21325,21664,21992,22350,22714,23103,23500,23920,24371,24798,25243,25711,26168,26659,27180,27727,28295,28866,29390,29963,30540,31105,31692,32331,32902,33453,34074,34695,35263,35829,36408,37050,37621,38271,38898,39500,40084,40772,41375,42009,42707,43391,44101,44763,45469,46140,46903,47689,48477,49311,50155,51007,51931,52833,53758,54749,55764,56819,57808,58853,59841,60866,61924,62930,63888,64908,65870,66886,67878,68868,69840,70910,71967,72985,74003,75055,76141,77134,78224,79361,80478,81544,82635,83719,84836,85899,87017,88163,89291,90490,91701,92900,94063,95202,96458,97698,98874,100176,101433,102661,103873,105177,106554,107965,109303,110713,112117,113518,114932,116383,117750,119214,120651,122069,123547,125017,126532,128061,129629,131175,132713,134325,135907,137565,139243,140939,142656,144526,146360,148265,150155,152098,154123,156216,158373,160528,162682,164925,167252,169604,171943,174291,176705,179096,181617,184244,186880,189432,192096,194926,197829,200654,203600,206657,209792,212928,216088,219263,222616,225929,229257,232743,236149,239706,243303,247012,250573,254316,258055,261711,265450,269331,273139,276926,280880,284881,288964,293155,297277,301551,305923,310428,315024,319650,324344,329097,333966,338919,344029,349220,354547,360029,365440,370971,376620,382274,388162,394022,399966,406060,412331,418552,424874,431376,437997,444762,451459,458546,465668,472844,480306,487911,495678,503662,511546,519605,527981,536474,544896,553740,562636,571556,580506,589784,599068,608394,618045,627882,637793,647882,658024,668248,678645,689035,699623,710336,721038,731946,742912,754034,765185,776547,788035,799812,811645,823463,835728,847854,860352,873107,885947,898890,912288,925594,939430,953115,967284,981837,996240,1010915,1025975,1040963,1055735,1070922,1086333,1101750,1117265,1133065,1148680,1164768,1181249,1197603,1214277,1231296,1248477,1265761,1282821,1300225,1317965,1336123,1354074,1372765,1391396
1,1,1,3,3,6,8,9,10,14,17,19,20,21,22,22,24,26,28,32,37,42,45,50,52,59,61,61,63,66,71,80,85,86,94,104,107,111,114,117,122,127,134,137,139,141,144,151,154,157,163,167,170,172,174,177,184,188,191,202,208,210,215,222,226,231,241,248,252,257,262,272,275,279,282,284,288,297,309,315,323,329,331,333,334,336,340,347,350,355,359,361,368,375,377,384,389,392,394,395,397,401,403,405,411,415,416,419,421,424,427,428,432,435,439,447,449,451,454,458,465,469,476,479,485,488,490,496,499,499,506,511,511,517,521,532,538,542,549,555,563,566,568,571,578,583,588,599,605,614,617,622,634,637,643,648,654,659,663,666,671,676,680,683,688,693,696,702,715,719,734,743,747,756,765,774,782,788,796,808,813,822,831,842,846,854,865,870,874,881,887,896,899,909,915,924,929,935,940,943,946,954,960,961,970,979,985,988,996,1001,1004,1013,1021,1029,1036,1040,1047,1051,1060,1064,1071,1084,1088,1095,1101,1111,1117,1123,1129,1138,1151,1160,1175,1185,1198,1203,1207,1209,1217,1223,1231,1245,1252,1263,1272,1279,1287,1291,1297,1303,1310,1322,1326,1335,1343,1346,1351,1357,1366,1373,1376,1382,1388,1392,1399,1407,1414,1418,1420,1425,1429,1435,1437,1440,1444,1450,1454,1462,1466,1467,1472,1478,1484,1496,1512,1526,1541,1550,1564,1582,1598,1617,1636,1652,1672,1691,1709,1726,1748,1776,1806,1828,1848,1869,1885,1904,1920,1933,1962,1991,2014,2040,2073,2123,2155,2189,2222,2254,2287,2323,2362,2399,2438,2488,2533,2580,2629,2664,2718,2761,2804,2850,2903,2952,3003,3053,3099,3149,3196,3259,3310,3353,3391,3432,3469,3517,3558,3599,3649,3694,3735,3775,3820,3845,3869,3901,3937,3976,4014,4044,4075,4097,4129,4166,4197,4237,4268,4303,4329,4363,4388,4412,4438,4469,4494,4536,4560,4598,4630,4667,4698,4737,4775,4806,4853,4890,4927,4965,5009,5054,5089,5123,5156,5187,5224,5266,5301,5341,5388,5422,5452,5484,5521,5549,5578,5604,5634,5668,5698,5735,5786,5819,5855,5885,5933,5979,6004,6047,6087,6125,6175,6221,6268,6303,6353,6409,6451,6505,6559,6599,6654,6708,6767,6824,6872,6919,6965,7004,7068,7122,7170,7227,7282,7347,7414,7475,7525,7592,7647,7718,7785,7860,7925,7984,8038,8095,8167,8239,8296,8364,8420,8490,8540,8611,8669,8728,8798,8853,8917,8975,9040,9105,9176,9236,9306,9384,9463,9530,9611,9685,9762,9842,9913,9991,10065,10138,10197,10269,10355,10430,10493,10562,10634,10693,10752,10827,10906
1,1,1,1,1,1,1,3,3,5,5,5,6,7,8,9,10,13,16,16,17,18,18,21,23,28,29,33,35,36,38,43,50,53,58,64,68,75,82,86,91,98,105,118,123,129,133,135,138,144,152,157,165,173,178,182,188,192,197,199,204,210,217,229,231,233,237,243,250,254,259,263,270,276,286,289,298,308,315,325,338,342,350,363,373,381,385,397,402,413,421,433,446,454,461,475,487,498,504,520,531,548,560,572,591,603,619,630,643,647,662,677,685,704,720,733,754,768,780,797,814,828,846,858,881,904,925,943,962,985,998,1024,1040,1058,1075,1090,1106,1128,1146,1172,1199,1224,1249,1269,1286,1303,1314,1332,1352,1370,1388,1406,1415,1430,1450,1463,1483,1496,1521,1531,1545,1554,1568,1588,1609,1627,1646,1664,1684,1710,1736,1757,1781,1807,1839,1875,1925,1955,2007,2055,2110,2159,2208,2266,2334,2396,2447,2523,2596,2665,2729,2800,2864,2931,3022,3085,3163,3239,3322,3407,3492,3581,3680,3792,3887,3962,4043,4138,4226,4313,4396,4493,4584,4699,4801,4926,5024,5111,5211,5296,5404,5511,5603,5695,5802,5926,6041,6174,6305,6456,6613,6758,6897,7065,7229,7400,7577,7755,7928,8099,8295,8474,8667,8890,9071,9289,9515,9766,9981,10229,10473,10736,11007,11277,11519,11780,12058,12341,12607,12881,13117,13421,13718,14069,14354,14655,14947,15274,15623,15946,16283,16645,17000,17398,17784,18116,18502,18913,19323,19741,20162,20613,21060,21522,21983,22451,22931,23429,23941,24444,24969,25508,26065,26618,27192,27791,28438,29092,29777,30554,31293,32050,32868,33690,34520,35402,36229,37137,38075,38974,39966,40945,41962,42961,43953,44984,46010,47130,48247,49403,50612,51765,53033,54252,55480,56760,58047,59369,60758,62196,63642,65105,66583,68165,69897,71619,73396,75265,77154,79085,80948,82901,84928,86891,88986,91042,93244,95542,97758,99948,102268,104634,106921,109199,111617,113978,116421,119013,121608,124204,126860,129676,132505,135430,138285,141289,144269,147405,150521,153699,156917,160278,163548,166937,170302,173719,177129,180664,184353,188044,191839,195782,199713,203687,207751,211810,215821,220011,224343,228859,233434,237967,242733,247479,252479,257501,262604,267848,273023,278337,283921,289411,295078,300698,306441,312343,318251,324244,330248,336318,342556,348866,355232,361834,368347,375020,381938,388928,396221,403519,410847,418304,425823,433319,441083,449028,457008,465214,473373,481727,490273,499070,508066,517203,526449,535734,545200,554712,564445,574378,584316,594337,604673,615009,625510,636008,646948,657827,669015,680178,691613,703038,714610,726499,738406,750388,762461,774559,786854,799213,811858,824368,837260,850245,863288,876340,889711,903131,916744,930361,944076,957982,971752,985706,999496,1013700,1027722,1042112,1056660,1071251,1086122,1100921,1115920,1130867,1145913,1161075,1176302,1192024,1207188,1222967,1238559,1254471,1270650,1287113,1303600,1320213,1336848
1,1,2,2,3,3,4,4,4,4,4,4,5,6,8,10,10,11,11,13,13,14,15,16,21,23,27,27,29,35,36,40,44,46,52,55,56,58,61,66,73,76,81,84,92,95,102,104,110,111,118,126,135,136,138,141,143,144,148,151,156,160,166,172,176,181,185,188,191,196,200,204,215,218,220,226,230,235,242,247,251,254,258,264,268,268,272,276,281,292,302,309,316,323,329,338,345,348,358,361,377,385,393,396,400,417,428,445,452,472,489,516,542,557,580,605,627,653,682,719,746,771,796,820,844,874,890,913,939,959,988,1015,1036,1054,1072,1102,1120,1138,1164,1193,1216,1249,1269,1290,1314,1350,1369,1389,1407,1438,1459,1477,1501,1521,1552,1591,1606,1651,1676,1706,1737,1765,1796,1824,1842,1876,1923,1963,1995,2028,2063,2091,2116,2151,2190,2222,2253,2291,2329,2365,2395,2425,2456,2496,2523,2568,2603,2646,2709,2765,2825,2881,2942,3005,3064,3132,3206,3268,3343,3413,3476,3555,3631,3724,3803,3877,3968,4062,4149,4237,4322,4407,4502,4581,4678,4766,4836,4936,5053,5175,5300,5423,5561,5687,5817,5953,6107,6252,6407,6577,6718,6901,7045,7216,7399,7558,7722,7892,8055,8241,8401,8574,8726,8912,9117,9319,9490,9674,9891,10091,10310,10528,10729,10964,11159,11386,11602,11836,12062,12328,12552,12805,13028,13310,13563,13822,14061,14333,14597,14834,15099,15393,15657,15914,16188,16440,16721,17007,17324,17627,17974,18287,18585,18911,19284,19647,20000,20371,20720,21100,21460,21822,22204,22621,22974,23397,23798,24173,24553,24945,25344,25757,26177,26609,27003,27388,27806,28197,28659,29128,29558,30038,30453,30896,31348,31857,32380,32874,33471,34014,34605,35175,35740,36349,36957,37561,38175,38776,39445,40076,40720,41381,42064,42722,43423,44176,44876,45526,46234,46913,47592,48315,49035,49758,50529,51239,52026,52837,53679,54520,55366,56256,57180,58147,59071,60032,61040,62024,63098,64065,65163,66255,67320,68477,69641,70811,71961,73148,74307,75497,76708,77949,79172,80366,81616,82940,84194,85562,86833,88190,89526,90843,92187,93642,95065,96552,97945,99411,100896,102519,104124,105716,107254,108846,110536,112286,113995,115789,117607,119439,121352,123302,125366,127374,129465,131590,133816,136104,138447,140720,143103,145557,148147,150708,153390,156076,158900,161805,164786,167969,171093,174301,177604,181000,184436,187937,191581,195221,198802,202602,206503,210267,214168,218000,221987,226038,230191,234377,238590,242879,247320,251787,256222,260798,265466,270039,274768,279491,284227,289021,293805,298746,303638,308510,313645,318843,324103,329473,334968,340460,345984,351702,357589,363414,369308,375317,381558,387754,394086,400618,407208,413838,420546,427418,434286,441258,448181,455236,462390,469641,477035,484460,491853,499564,507302,515303,523249,531549,540035,548633,557391,566167,575224,584455,593814,603452,613126
1,1,1,1,1,3,3,4,4,7,8,9,9,9,9,11,12,14,14,15,16,16,17,20,20,22,23,24,24,24,24,26,26,27,28,30,32,33,34,37,39,43,45,47,50,51,58,65,74,82,85,89,93,99,105,116,129,142,151,165,180,201,222,246,273,299,326,356,378,402,424,451,486,512,542,562,581,611,629,662,684,704,730,750,773,794,816,829,841,862,878,897,920,928,942,960,976,989,997,1010,1022,1038,1055,1065,1089,1105,1123,1148,1165,1176,1196,1214,1228,1250,1276,1299,1325,1354,1392,1427,1472,1502,1543,1576,1607,1645,1677,1717,1754,1796,1840,1868,1905,1951,1982,2006,2039,2069,2098,2130,2155,2193,2226,2258,2295,2337,2361,2392,2418,2456,2495,2523,2551,2593,2625,2662,2690,2731,2769,2818,2856,2890,2930,2966,3026,3072,3117,3165,3228,3281,3341,3396,3454,3512,3565,3617,3684,3753,3833,3898,3975,4062,4133,4220,4297,4384,4462,4533,4604,4693,4778,4840,4926,5012,5099,5162,5255,5363,5470,5581,5679,5788,5904,6020,6141,6279,6418,6556,6708,6864,7000,7163,7345,7530,7707,7868,8031,8226,8434,8642,8866,9051,9232,9433,9616,9798,10000,10204,10418,10644,10861,11107,11352,11568,11787,12008,12235,12458,12676,12894,13130,13376,13607,13841,14072,14269,14505,14716,14921,15159,15387,15618,15830,16066,16279,16505,16713,16947,17194,17414,17649,17892,18128,18375,18621,18875,19149,19377,19619,19883,20175,20447,20736,21015,21305,21629,21988,22298,22656,23033,23411,23802,24176,24564,24988,25397,25785,26243,26746,27200,27647,28103,28588,29066,29503,29980,30506,31023,31563,32123,32691,33312,33895,34484,35048,35663,36250,36907,37596,38275,38985,39676,40391,41125,41896,42683,43484,44232,45069,45908,46776,47644,48462,49350,50253,51180,52108,53076,54034,55070,56033,57070,58085,59147,60246,61388,62494,63692,64834,66083,67368,68639,69981,71272,72646,74015,75464,76991,78578,80052,81530,83100,84660,86310,87955,89638,91398,93198,95119,97060,99021,101092,103121,105211,107485,109698,112008,114332,116692,119193,121670,124222,126758,129372,132022,134686,137326,139989,142660,145509,148349,151058,153911,156915,159786,162826,165985,169018,171970,175195,178442,181791,185267,188634,192190,195758,199378,203197,207067,211036,214993,218975,223094,227191,231373,235713,240060,244560,249052,253531,258093,262705,267384,272154,277018,281931,286976,292067,297224,302574,307926,313436,318914,324508,330071,335986,342031,347932,354009,360262,366648,373041,379520,386128,392809,399684,406469,413608,420562,427775,434956,442338,449631,457032,464592,471994,479604,487367,495000,502904,511007,519003,527223,535560,543923,552239,560743,569237,577815,586314,595204,604153,613197,622452,631826,641334,650960,660765,670805,680664,690696,700797,711164,721699,732259,742987,753757,764581,775542,786418,797536,808858,820136,831678,843267,855249,867134,879194,891568,903687,915937,928137,940729,953379,966296,979153,992219
1,1,4,4,6,6,7,8,8,9,10,12,12,13,16,17,20,21,23,25,29,30,31,37,39,42,47,49,54,57,60,65,73,83,87,92,96,103,110,117,122,125,135,139,140,143,150,157,159,161,162,168,174,182,188,193,204,211,219,231,235,238,250,259,271,281,294,300,321,336,350,375,389,401,414,427,447,464,480,506,526,548,575,599,623,636,648,674,690,710,740,760,783,801,823,841,861,889,903,929,949,979,1005,1025,1047,1064,1080,1103,1128,1146,1169,1191,1211,1230,1253,1281,1306,1334,1358,1387,1415,1437,1455,1475,1495,1520,1545,1560,1587,1612,1633,1656,1688,1719,1747,1773,1799,1821,1857,1895,1928,1961,1995,2036,2063,2097,2145,2183,2227,2266,2313,2359,2407,2454,2493,2530,2577,2619,2681,2729,2768,2821,2876,2934,2990,3059,3108,3163,3211,3274,3332,3390,3446,3490,3544,3610,3667,3721,3798,3850,3916,3965,4031,4094,4149,4204,4265,4321,4366,4428,4507,4576,4630,4708,4765,4839,4916,4981,5038,5115,5196,5263,5349,5429,5506,5596,5681,5773,5858,5957,6057,6159,6263,6366,6481,6586,6714,6835,6959,7088,7228,7347,7465,7614,7736,7853,7971,8075,8194,8318,8456,8596,8747,8895,9050,9224,9404,9556,9756,9936,10085,10269,10461,10671,10882,11108,11340,11564,11807,12067,12302,12553,12824,13112,13392,13670,13964,14250,14554,14848,15160,15523,15874,16214,16590,16955,17392,17783,18207,18613,19015,19426,19869,20270,20745,21184,21686,22148,22646,23128,23628,24167,24689,25222,25751,26336,26874,27456,28088,28697,29336,30013,30734,31414,32128,32903,33650,34463,35348,36246,37142,38089,39035,39948,40883,41832,42804,43798,44767,45781,46856,47896,48922,50051,51173,52306,53456,54665,55994,57297,58587,59911,61317,62745,64175,65694,67212,68721,70277,71837,73394,74908,76517,78196,79888,81606,83379,85143,86915,88704,90557,92408,94333,96317,98364,100388,102515,104703,106909,109187,111547,113881,116363,118945,121602,124228,126966,129827,132792,135806,138843,141886,145140,148473,151980,155406,158921,162547,166186,169852,173617,177394,181274,185210,189183,193169,197279,201532,205871,210094,214537,219050,223609,228146,232921,237689,242585,247628,252749,257711,262901,268281,273557,278818,284346,289822,295535,301341,307254,313226,319256,325492,331765,338169,344741,351388,358100,364813,371864,378847,386105,393442,400860,408444,416084,423909,431911,440164,448214,456485,465122,473908,482582,491635,500658,509911,519464,529084,538718,548492,558191,568193,578265,588421,598669,609114,619448,630022,640601,651216,661912,672763,683732,694888,706088,717356,728701,740322,751783,763559,775395,787393,799586,811842,824081,836552,849298,862189,874952,888019,901193,914553,927987,941656,955494,969428,983523,997693,1012135,1026930,1041798,1056930,1072134,1087490,1103033,1118895,1135027,1150994,1167270,1183863,1200605,1217265,1234209,1251404,1268847,1286628,1304243,1322047,1340043,1358190,1376289,1394384,1412711,1431285,1449887,1468626,1487270
1,1,2,2,4,5,5,6,7,8,9,9,10,12,16,19,21,22,26,30,35,41,42,46,47,51,53,59,64,69,80,84,88,91,94,101,108,108,114,120,121,127,132,138,142,146,149,156,167,172,177,189,205,211,221,233,241,247,257,267,277,288,293,302,311,324,332,345,358,361,365,373,378,386,393,400,404,412,422,431,439,450,456,470,484,495,502,516,523,534,538,559,576,587,595,606,619,628,638,652,668,680,701,724,737,752,764,782,799,813,829,847,866,877,900,917,941,959,984,1002,1022,1043,1056,1067,1086,1097,1111,1124,1134,1148,1164,1173,1184,1200,1212,1218,1223,1235,1247,1256,1259,1271,1280,1289,1292,1301,1309,1315,1327,1333,1335,1344,1352,1358,1379,1385,1400,1405,1413,1420,1429,1443,1452,1458,1466,1472,1477,1483,1491,1500,1513,1527,1536,1545,1560,1568,1578,1587,1595,1611,1622,1628,1638,1646,1660,1667,1675,1681,1688,1699,1704,1711,1720,1732,1740,1744,1750,1757,1764,1772,1779,1788,1790,1799,1803,1810,1820,1827,1834,1843,1850,1860,1864,1873,1881,1888,1892,1900,1907,1912,1926,1933,1936,1942,1955,1968,1976,1987,1996,2004,2012,2029,2048,2060,2077,2093,2109,2124,2142,2163,2176,2192,2211,2230,2252,2287,2304,2325,2347,2370,2397,2419,2453,2485,2516,2538,2572,2607,2650,2688,2740,2788,2838,2888,2932,2987,3031,3083,3123,3190,3250,3306,3387,3471,3546,3609,3682,3765,3854,3935,4017,4103,4173,4260,4342,4433,4512,4587,4665,4775,4859,4925,5000,5068,5153,5226,5308,5399,5499,5593,5671,5749,5825,5896,5975,6049,6126,6219,6339,6436,6547,6642,6736,6827,6927,7046,7166,7295,7414,7544,7680,7809,7934,8054,8197,8338,8484,8607,8767,8901,9038,9178,9317,9481,9611,9761,9894,10029,10185,10371,10527,10705,10884,11068,11254,11457,11642,11830,12024,12223,12451,12654,12898,13133,13388,13633,13874,14135,14425,14704,15005,15295,15590,15926,16237,16558,16904,17250,17558,17882,18199,18528,18872,19255,19673,20054,20445,20852,21268,21675,22115,22559,23017,23480,23975,24430,24943,25494,26002,26497,27092,27622,28187,28725,29323,29902,30504,31144,31765,32449,33073,33718,34464,35162,35899,36671,37456,38275,39064,39964,40861,41817,42775,43794,44811,45805,46857,47969,49090,50238,51379,52553,53793,54925,56150,57366,58687,59979,61294,62713,64115,65560,67028,68562,70127,71715,73281,74943,76575,78200,79850,81565,83256,84928,86638,88251,89886,91516,93205,94828,96567,98299,99991,101778,103574,105339,107160,108979,110917,112891,114880,116956,119062,121144,123250,125477,127679,129924,132317,134636,136981,139479,141943,144516,147198,149833,152437,155169,157964,160828,163713,166588,169568,172544,175472,178558,181650,184928,188223,191413,194804,198077,201632,205270,208961,212760,216521
1,1,1,1,1,1,3,3,3,3,3,4,4,5,5,6,7,7,7,7,16,21,27,35,47,62,75,94,109,147,201,248,310,374,432,489,557,620,695,751,806,867,932,997,1075,1136,1224,1304,1386,1489,1612,1740,1893,2027,2183,2352,2513,2674,2850,3014,3180,3332,3508,3683,3826,3965,4115,4236,4371,4489,4630,4760,4897,5010,5122,5240,5366,5468,5576,5702,5826,5937,6054,6165,6266,6375,6475,6575,6672,6790,6905,7021,7125,7232,7343,7443,7562,7682,7815,7923,8034,8122,8229,8354,8483,8608,8757,8894,9034,9150,9289,9437,9604,9750,9913,10104,10288,10486,10671,10879,11065,11292,11525,11711,11945,12186,12414,12659,12933,13175,13405,13663,13921,14177,14440,14688,14958,15212,15466,15694,15925,16204,16481,16786,17085,17396,17696,17999,18348,18641,18971,19365,19782,20163,20570,20998,21427,21886,22323,22750,23231,23720,24177,24701,25225,25682,26149,26662,27178,27650,28140,28639,29125,29611,30112,30578,31045,31553,32043,32582,33099,33604,34088,34594,35094,35593,36132,36674,37229,37765,38322,38904,39487,40104,40743,41332,42014,42671,43332,44070,44858,45599,46375,47137,47953,48731,49544,50332,51140,51921,52762,53651,54534,55359,56240,57145,58030,58955,59857,60795,61695,62688,63616,64666,65708,66720,67832,68895,70006,71189,72418,73585,74837,76109,77438,78743,80095,81434,82752,84081,85529,86930,88384,89780,91251,92811,94312,95871,97498,99125,100732,102418,104067,105906,107739,109557,111392,113303,115329,117321,119381,121523,123613,125717,127908,130142,132327,134552,136863,139160,141469,143788,146195,148637,151094,153725,156356,158993,161702,164446,167252,170150,173054,176028,179154,182326,185506,188767,192019,195462,198930,202514,206101,209788,213553,217327,221105,225063,229136,233149,237211,241337,245524,249821,254160,258678,263206,267662,272286,276832,281469,286124,290866,295753,300645,305586,310599,315704,320903,326164,331677,337386,342899,348646,354379,360218,366279,372435,378629,385036,391408,398011,404524,411385,418457,425307,432344,439488,446914,454251,461752,469418,477245,485118,492899,501020,509222,517324,525495,533895,542499,551145,559945,568840,577651,586707,595616,604674,614085,623806,633525,643443,653504,663747,674175,684677,695280,706130,716899,727893,739224,750521,762054,773669,785380,797507,809772,822119,834455,847254,860226,873176,886479,899638,913339,927387,941336,955629,970030,984703,999278,1014175,1028960,1043935,1059313,1074570,1090376,1106176,1122400,1138649,1154754,1171003,1187544,1204200,1220966,1237915,1254827,1272229,1289558,1307223,1325049,1342924,1361067,1379318,1397514,1415972,1434686,1453401,1472298,1491364,1510538,1530004,1549250,1568986,1588730,1608727,1628693,1648946,1669195,1689618,1709998,1730530,1751189,1771969,1793119,1814009,1835346,1856654,1878606,1900496,1922426,1944484,1966801,1989365,2011849,2034503,2057381,2080089,2102932,2125925,2149138,2172226,2195486,2218983,2242793,2266704,2290644,2314606,2338316,2362563,2386781,2410883,2435187,2459870,2484411,2509008,2533780,2558646,2583388,2608313,2633689,2658971,2684164,2709133,2734435,2759426,2784922,2810366,2835691,2861310,2886739,2912402,2938006,2963612,2989569,3015291,3041060,3066949,3092726,3118638,3144694,3170710,3196651,3223081,3249188,3275346,3301367
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1,1,1,1,3,3,5,5,5,5,5,8,8,8,8,8,8,9,14,15,15,17,17,18,19,21,22,23,25,26,26,30,33,34,37,40,41,44,45,51,53,56,57,60,62,64,66,75,78,84,87,92,108,119,124,140,145,155,164,182,191,208,221,243,272,288,308,333,352,368,384,413,433,464,493,519,540,569,594,632,655,679,704,729,762,793,819,836,863,899,921,940,961,995,1031,1067,1102,1139,1166,1193,1222,1253,1299,1347,1382,1417,1469,1503,1558,1619,1668,1717,1775,1838,1902,1962,2042,2121,2186,2254,2324,2388,2470,2558,2654,2739,2819,2917,3011,3098,3184,3250,3326,3412,3503,3603,3690,3795,3890,3985,4077,4185,4282,4385,4504,4616,4746,4862,5008,5138,5272,5450,5586,5727,5876,6067,6257,6416,6588,6735,6914,7075,7263,7477,7675,7886,8068,8246,8437,8651,8846,9028,9222,9445,9657,9865,10096,10316,10547,10752,10973,11218,11479,11718,11945,12208,12470,12739,13019,13330,13675,13936,14238,14557,14876,15232,15579,15936,16293,16671,17099,17532,17957,18369,18811,19207,19609,20094,20527,20995,21471,21938,22453,22978,23443,23939,24436,24937,25455,26003,26571,27144,27656,28279,28851,29446,30046,30648,31285,31910,32488,33127,33788,34474,35172,35877,36597,37335,38085,38825,39575,40345,41162,41997,42849,43697,44587,45506,46396,47321,48259,49182,50183,51192,52212,53312,54380,55464,56550,57690,58846,60025,61290,62563,63883,65133,66441,67792,69197,70583,71963,73354,74783,76280,77859,79425,80996,82499,84116,85674,87397,89031,90754,92435,94179,95935,97707,99512,101367,103228,105219,107133,109039,110924,113014,115087,117137,119189,121308,123442,125692,128007,130325,132702,135298,137896,140501,143244,145968,148800,151720,154679,157693,160696,163809,166870,170056,173290,176607,179786,183130,186545,189989,193298,196759,200251,203768,207488,211102,214788,218432,222342,226196,230191,234231,238474,242669,247022,251537,256281,261024,265773,270744,275884,281177,286597,292128,297761,303359,309193,315085,321073,327124,333346,339655,345853,352278,358750,365239,371788,378391,385087,391931,399042,406266,413570,420903,428232,435727,443251,451107,458749,466543,474470,482570,490817,498999,507485,516250,525024,533811,542942,552138,561440,570984,580460,590013,599595,609602,619640,630012,640277,650703,661316,671880,682417,693360,704283,715375,726619,737844,749237,760574,772245,784191,796298,808479,820631,832965,845573,858335,871054,883939,897090,910155,923474,937079,950562,964397,978302,992614,1007050,1021467,1035970,1050745,1065410,1080135,1094808,1109585,1124631,1139836,1155271,1170527,1186286,1201798,1217611,1233214,1248985,1265134,1281151,1297210,1313510,1330020,1346558,1363521,1380222,1397122,1414437,1431763,1449339,1466944,1484494,1502587,1520789,1539143,1557413,1575996,1594934,1613612,1632717,1651664,1670879,1690252,1709455,1728797,1748315,1767595,1787270,1807084,1826860,1847099,1867415,1887679,1907972,1928472,1948876,1969651,1990738,2011844,2033200,2054559,2075982,2097488,2119007,2140917,2163138,2184809,2206951,2229227,2251915,2274023,2296302,2318766,2341329,2363804,2386384,2409175
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1,1,1,1,1,1,1,1,2,3,3,5,6,8,10,13,14,18,19,22,26,29,33,37,41,46,51,54,58,62,66,71,76,82,88,91,93,99,100,105,108,111,115,120,125,132,144,154,159,163,176,183,189,199,205,212,219,224,234,238,244,254,257,268,276,281,288,304,316,325,333,343,350,361,372,382,396,402,417,429,435,444,456,472,484,500,523,535,547,562,573,588,606,628,644,656,671,696,717,733,748,769,794,808,825,838,850,867,889,905,925,937,959,977,992,1016,1034,1054,1072,1090,1111,1132,1148,1165,1194,1213,1234,1254,1273,1308,1335,1363,1394,1420,1462,1501,1542,1583,1619,1658,1696,1727,1762,1814,1867,1915,1955,2018,2086,2152,2206,2275,2349,2444,2531,2613,2720,2823,2940,3030,3160,3291,3423,3537,3663,3799,3954,4088,4236,4405,4551,4719,4884,5072,5253,5430,5604,5810,6010,6195,6408,6622,6831,7036,7237,7413,7612,7886,8128,8425,8698,9009,9327,9647,9960,10264,10610,10959,11335,11736,12099,12500,12939,13353,13807,14276,14699,15139,15566,15987,16448,16892,17341,17824,18287,18784,19305,19806,20270,20752,21270,21828,22402,22927,23478,24039,24636,25253,25891,26489,27127,27811,28471,29196,29915,30657,31477,32352,33228,34102,34937,35823,36696,37755,38749,39619,40568,41578,42668,43779,44885,45966,47091,48311,49477,50680,51974,53231,54508,55805,57128,58533,59928,61369,62833,64240,65698,67184,68710,70337,71860,73460,75031,76663,78311,80092,81821,83607,85454,87295,89093,91008,92987,94931,96880,98853,101009,103047,105206,107423,109680,112017,114377,116743,119224,121675,124098,126716,129310,131968,134622,137434,140304,143222,146020,149020,152042,155104,158139,161284,164384,167565,170780,173860,177079,180285,183734,187047,190394,193821,197380,200999,204619,208252,212060,215963,219848,223833,227812,231921,236164,240427,244859,249319,253814,258312,262965,267546,272214,276847,281649,286441,291312,296330,301535,306797,312102,317329,322675,328273,333787,339586,345518,351508,357583,363704,369875,376209,382499,388921,395376,402134,408856,415427,422438,429418,436478,443779,451049,458402,465632,473037,480575,488213,496102,504245,512501,520839,529511,538125,546857,555658,564620,573836,583123,592634,602328,612167,622234,632183,642292,652428,662836,673260,683771,694422,705165,715976,726938,738023,749252,760564,771709,783019,794654,806478,818077,830216,842382,854539,866983,879523,892335,905136,918025,931423,945014,958606,972353,986126,1000010,1014118,1028450,1043038,1057996,1073076,1088161,1103528,1119129,1134747,1150572,1166476,1182393,1198811,1215229,1231894,1248613,1265450,1282554,1299960,1317134,1334645,1352057,1370211,1388110,1406506,1424909,1443526,1462056,1480977,1499960,1519028,1538439,1557734,1577482,1597350,1617290,1637267,1657461,1677765,1698154,1718673,1739354,1760075,1780942,1802075,1822999,1844246,1865599,1887102,1908886,1930688,1952286,1973817,1995627,2017614,2039598,2061717,2083953,2106253,2128733,2151274,2173712,2196349,2219054,2241719,2264734,2287852,2311167,2334461,2357799,2381599,2405490,2429456,2453701,2477880,2502174
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1,1,1,1,3,5,6,7,10,12,13,13,14,15,18,20,22,22,25,27,33,37,39,43,47,49,55,62,67,72,73,77,80,87,92,95,97,102,108,112,116,122,128,136,139,146,149,155,159,165,170,180,184,189,201,207,209,215,222,226,233,243,251,259,264,272,283,292,303,315,323,335,345,355,368,390,399,415,430,442,449,461,471,484,491,517,528,534,545,563,573,580,594,605,617,629,640,656,670,680,694,706,722,741,763,778,796,811,826,856,889,915,946,980,1010,1055,1073,1109,1143,1191,1230,1274,1311,1362,1408,1450,1496,1539,1581,1620,1669,1717,1752,1800,1853,1905,1962,2006,2052,2099,2153,2211,2260,2310,2370,2413,2459,2518,2560,2602,2655,2698,2746,2788,2830,2882,2936,2999,3048,3113,3182,3242,3298,3350,3405,3453,3531,3591,3642,3697,3777,3850,3919,4012,4077,4141,4222,4311,4409,4509,4611,4694,4787,4885,4978,5067,5150,5239,5319,5398,5492,5583,5693,5782,5878,5959,6051,6136,6243,6358,6457,6551,6658,6771,6889,7028,7168,7291,7421,7534,7659,7798,7927,8058,8199,8319,8462,8621,8791,8948,9098,9247,9415,9578,9737,9899,10071,10239,10427,10607,10817,11015,11217,11416,11632,11861,12084,12322,12526,12770,12993,13190,13436,13684,13909,14141,14389,14611,14871,15094,15367,15619,15862,16138,16400,16704,17023,17325,17654,17970,18332,18698,19073,19453,19807,20202,20610,21090,21558,22068,22616,23162,23747,24321,24936,25617,26241,27000,27720,28421,29151,29867,30612,31325,32068,32822,33587,34352,35115,35873,36607,37416,38138,38904,39678,40456,41246,42038,42787,43556,44351,45126,45924,46721,47583,48457,49379,50243,51172,52081,53074,54032,54944,55964,56956,57995,58983,59997,61011,62114,63112,64157,65210,66232,67324,68447,69530,70671,71863,72976,74084,75223,76386,77572,78849,80117,81369,82625,83932,85325,86668,87996,89338,90715,92060,93477,94895,96432,97959,99524,101099,102729,104314,106048,107780,109522,111329,113189,115069,116978,118970,121014,123169,125286,127445,129570,131766,134026,136263,138595,140948,143277,145717,148201,150626,153142,155636,158240,160852,163473,166099,168780,171550,174384,177432,180337,183270,186310,189464,192600,195766,199127,202615,206089,209636,213215,216983,220804,224706,228644,232770,236925,241056,245330,249695,254127,258686,263330,268099,272802,277572,282543,287624,292677,297789,302954,308277,313797,319421,325064,330828,336665,342399,348305,354485,360550,366812,373284,379691,386326,392991,399797,406605,413541,420586,427744,435124,442556,449940,457652,465471,473281,481287,489547,497719,505933,514468,523056,531767,540347,549273,558215,567274,576481,585872,595434,604987,614550,624221,634134,644094,654196,664392,675005,685518,696184,707056,718197,729463,740736,752246,763800,775513,787566,799795,812354,824706,837368,850160,863097,875837,888986,902052,915430,928950,942843,956785,970780,985053,999456,1014035,1028668,1043408,1058477,1073485,1088667,1104023
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1,1,1,1,1,1,1,3,4,5,5,5,5,5,5,7,10,10,14,16,21,27,29,31,33,35,40,43,51,54,60,65,73,77,81,90,97,102,108,112,119,123,129,135,142,151,158,164,168,174,184,190,198,203,210,215,217,224,228,232,238,244,247,251,255,264,273,278,285,287,292,297,306,313,316,322,329,335,343,346,355,366,377,383,390,398,409,418,433,452,463,479,490,509,531,547,574,597,626,655,679,715,744,789,824,865,909,940,980,1017,1045,1089,1130,1170,1201,1231,1258,1287,1334,1371,1414,1451,1496,1533,1560,1603,1625,1669,1697,1725,1749,1773,1793,1832,1864,1895,1922,1950,1990,2020,2059,2104,2142,2184,2227,2261,2294,2335,2386,2412,2463,2521,2562,2618,2702,2751,2807,2865,2916,2973,3028,3080,3132,3192,3260,3339,3403,3473,3517,3581,3636,3699,3781,3849,3903,3961,4020,4086,4133,4193,4267,4324,4381,4439,4505,4573,4621,4663,4719,4772,4826,4896,4962,5012,5058,5103,5136,5185,5223,5279,5334,5391,5434,5484,5533,5586,5645,5694,5737,5788,5834,5879,5939,5996,6049,6106,6163,6222,6286,6341,6400,6497,6569,6636,6726,6784,6850,6951,7033,7115,7194,7272,7340,7429,7512,7593,7690,7785,7881,7965,8046,8143,8237,8329,8446,8541,8630,8716,8816,8926,9031,9127,9260,9380,9483,9597,9715,9843,9977,10102,10238,10370,10503,10625,10748,10883,11044,11205,11329,11497,11650,11804,11946,12128,12290,12461,12617,12779,12946,13110,13261,13432,13604,13774,13951,14120,14291,14475,14644,14830,14995,15158,15365,15548,15742,15929,16134,16343,16573,16767,16999,17218,17453,17671,17897,18121,18348,18581,18820,19072,19290,19513,19725,19967,20219,20439,20683,20923,21195,21415,21651,21906,22172,22457,22715,22997,23283,23590,23923,24215,24524,24862,25183,25543,25884,26210,26563,26904,27258,27613,27974,28314,28672,29033,29468,29881,30303,30710,31117,31589,32037,32546,33022,33578,34151,34756,35321,35859,36424,36976,37533,38090,38647,39263,39825,40404,41011,41582,42179,42773,43369,44018,44644,45266,45819,46446,47089,47693,48329,48958,49616,50235,50858,51488,52164,52843,53492,54183,54893,55577,56307,57032,57800,58512,59263,60053,60875,61685,62550,63405,64270,65201,66098,67053,68019,69045,70114,71161,72280,73311,74367,75507,76678,77852,79035,80213,81518,82786,84110,85408,86755,88163,89568,90951,92412,93910,95532,97080,98628,100159,101756,103451,105101,106697,108403,110130,111911,113755,115537,117376,119284,121280,123313,125371,127452,129672,131850,134084,136316,138636,141102,143548,146015,148567,151228,154005,156806,159474,162269,165095,168049,171024,174002,177148,180230,183517,186751,190161,193550,197084,200629,204324,207990,211784,215558,219403,223269,227153,231117,235121,239220,243337,247572,251760,255887,260173,264468,268999,273446,277990,282499,287095,291901,296854,301954,307117,312304
1,1,1,1,1,1,1,1,1,2,4,8,8,12,17,21,21,24,25,28,31,37,43,50,59,65,69,73,77,85,93,101,105,116,125,130,137,148,160,176,191,199,207,223,232,244,249,263,274,282,290,298,310,323,333,347,358,371,385,394,413,436,457,475,485,499,509,528,536,549,567,583,600,617,632,646,660,681,698,716,734,750,764,774,788,797,814,831,844,857,871,885,890,910,926,949,968,985,998,1011,1021,1041,1047,1052,1060,1077,1093,1105,1115,1125,1136,1145,1160,1168,1173,1187,1196,1203,1214,1222,1238,1246,1259,1267,1273,1281,1298,1309,1321,1331,1345,1352,1362,1375,1386,1401,1420,1431,1446,1456,1469,1481,1486,1499,1513,1526,1537,1555,1564,1582,1597,1611,1625,1640,1654,1673,1694,1709,1727,1751,1767,1788,1804,1824,1852,1873,1895,1922,1943,1959,1983,2004,2035,2067,2095,2121,2154,2192,2238,2266,2294,2332,2371,2398,2436,2471,2515,2552,2579,2619,2649,2696,2742,2792,2831,2869,2928,2972,3003,3023,3059,3104,3145,3189,3235,3275,3317,3360,3396,3433,3474,3511,3539,3578,3618,3662,3700,3728,3772,3820,3857,3897,3927,3969,4008,4051,4094,4143,4191,4240,4296,4331,4379,4440,4492,4553,4616,4667,4725,4793,4855,4920,4979,5047,5121,5195,5264,5332,5408,5473,5541,5627,5697,5791,5868,5947,6027,6096,6176,6261,6347,6422,6507,6596,6686,6785,6879,6965,7058,7170,7252,7363,7450,7549,7672,7785,7881,7993,8115,8224,8345,8443,8560,8669,8776,8893,8989,9108,9221,9328,9431,9518,9615,9714,9812,9923,10034,10126,10213,10332,10426,10548,10655,10756,10854,10965,11081,11193,11294,11420,11520,11618,11726,11827,11941,12075,12204,12347,12499,12651,12812,12925,13071,13235,13403,13567,13740,13897,14073,14263,14469,14674,14892,15088,15290,15487,15692,15900,16116,16333,16553,16812,17049,17278,17548,17801,18039,18289,18519,18793,19067,19366,19678,19975,20281,20598,20904,21197,21532,21883,22222,22600,22965,23346,23750,24158,24564,24966,25416,25848,26282,26736,27222,27724,28233,28758,29269,29822,30341,30944,31530,32115,32691,33294,33914,34586,35188,35832,36550,37279,38004,38730,39500,40261,41130,41994,42843,43687,44615,45642,46592,47541,48543,49560,50547,51564,52634,53743,54792,55943,57072,58283,59454,60725,62036,63363,64654,66042,67467,68869,70289,71783,73229,74681,76256,77921,79518,81151,82811,84438,86113,87776,89480,91260,93052,94818,96685,98595,100423,102253,104178,106172,108196,110261,112474,114685,116841,119052,121367,123723,126014,128452,131028,133616,136098,138703,141384,144050,146758,149504,152338,155184,158112,161110,164186,167309,170546,173669,176941,180292,183608,187011,190291,193651,197203,200808,204424,208078,211897,215787,219702,223888,227957,232213,236367,240694,245225,249783,254428,259217,264036,268793,273686,278568,283652,288785,293935
1,1,1,1,3,3,5,6,7,7,7,12,14,20,22,25,26,26,27,29,32,33,36,39,46,49,49,50,52,56,60,66,68,69,76,81,81,83,83,89,93,98,100,103,112,114,117,119,125,133,142,153,159,169,176,182,188,199,211,219,228,236,247,260,269,282,288,299,307,323,339,351,362,375,387,405,420,435,447,469,482,515,536,556,579,599,618,640,663,683,714,725,742,766,800,837,862,899,935,957,987,1008,1031,1066,1087,1117,1155,1189,1217,1249,1282,1316,1351,1388,1417,1456,1498,1529,1557,1579,1607,1646,1677,1704,1744,1773,1795,1817,1844,1872,1905,1941,1967,1998,2031,2066,2111,2151,2180,2219,2243,2264,2299,2322,2357,2400,2444,2483,2525,2573,2625,2684,2731,2786,2864,2944,3022,3105,3211,3322,3427,3529,3628,3767,3890,4034,4154,4323,4467,4598,4767,4916,5064,5219,5383,5539,5706,5871,6041,6221,6396,6585,6778,6956,7152,7331,7533,7693,7868,8026,8206,8365,8510,8673,8798,8945,9093,9250,9408,9573,9743,9889,10066,10247,10418,10606,10789,10982,11188,11401,11611,11815,12029,12256,12488,12717,12958,13202,13473,13741,14021,14309,14596,14906,15178,15547,15880,16237,16605,16964,17315,17678,18079,18509,18929,19337,19749,20207,20677,21131,21576,22048,22551,23009,23494,23965,24440,24890,25353,25832,26347,26815,27310,27839,28372,28893,29405,29950,30471,31028,31621,32183,32700,33256,33829,34414,35032,35687,36291,36911,37573,38257,38950,39692,40376,41073,41851,42580,43343,44160,44940,45745,46529,47325,48130,48962,49795,50657,51576,52441,53391,54356,55346,56375,57379,58424,59478,60632,61831,62964,64214,65523,66867,68153,69528,70982,72405,73945,75467,77029,78604,80242,81789,83364,85097,86833,88612,90337,92142,93928,95745,97602,99439,101383,103305,105228,107232,109245,111294,113409,115498,117704,120007,122360,124703,127039,129457,131892,134408,137019,139648,142339,145074,147922,150838,153732,156827,159882,163052,166178,169520,172868,176339,179837,183341,186968,190845,194750,198625,202622,206775,210875,215067,219416,223774,228147,232706,237446,242295,247102,252201,257376,262763,268306,273982,279635,285479,291512,297549,303629,309848,316224,322783,329411,336220,343037,349912,356901,364005,371080,378282,385558,393058,400511,408109,415724,423604,431680,439740,447917,456011,464286,472686,481289,490260,499151,508221,517349,526682,536063,545760,555661,565410,575499,585673,595999,606712,617304,628006,639177,650355,661442,672930,684550,696392,708392,720446,732848,745253,757596,770456,783281,796225,809574,822879,836463,850210,864183,878035,892381,906795,921372,935928,950986,966223,981230,996883,1012524,1028210,1044214,1060397,1076543,1092883,1109465,1126072,1142650,1159560,1176377,1193858,1211172,1228633,1245895,1263411,1281198,1299152,1317199,1335436,1353817,1372366,1391127,1409753,1428881,1447908,1466945,1486151,1505461,1525173,1544992,1564757,1584848,1604798,1624979,1645538,1666117,1686946,1707909,1728823,1750014,1770949,1792457,1813978,1835927,1858073,1880393,1902686,1925323,1948081
1,1,1,1,1,3,6,7,8,8,9,9,10,11,12,13,18,21,24,28,36,37,43,47,51,58,61,69,77,82,88,92,95,101,107,111,114,124,126,130,137,142,145,153,157,164,174,186,197,205,211,221,229,244,250,254,264,276,288,293,297,309,316,323,336,343,351,360,366,372,385,395,400,410,421,428,434,441,449,453,459,469,475,485,494,501,507,512,516,521,530,538,545,553,566,576,586,595,598,618,630,640,652,661,671,686,701,723,743,765,785,816,850,885,906,948,979,1023,1061,1092,1132,1162,1191,1226,1259,1293,1333,1358,1396,1437,1463,1496,1529,1559,1591,1627,1664,1701,1733,1765,1794,1837,1875,1905,1937,1981,2002,2045,2078,2121,2165,2210,2248,2291,2333,2375,2418,2466,2512,2551,2590,2641,2679,2725,2775,2832,2870,2932,2981,3031,3080,3124,3175,3238,3286,3336,3392,3448,3491,3546,3592,3647,3691,3746,3796,3834,3884,3935,3985,4024,4077,4122,4161,4206,4234,4277,4315,4346,4383,4422,4459,4503,4548,4582,4638,4677,4723,4759,4808,4860,4896,4951,4988,5031,5085,5139,5192,5251,5304,5348,5403,5459,5508,5559,5624,5674,5738,5798,5864,5915,5980,6030,6093,6172,6242,6303,6384,6455,6528,6611,6679,6760,6848,6926,7004,7076,7149,7219,7299,7381,7472,7568,7649,7733,7821,7912,8016,8105,8214,8320,8424,8537,8652,8766,8901,9021,9147,9282,9425,9572,9709,9855,10009,10144,10289,10413,10602,10775,10952,11152,11348,11509,11705,11887,12078,12314,12557,12779,13017,13279,13549,13837,14113,14376,14631,14911,15188,15508,15869,16232,16575,16930,17273,17615,17942,18314,18711,19091,19453,19798,20195,20572,20971,21401,21832,22280,22684,23103,23523,23945,24449,24918,25406,25893,26418,26907,27418,27930,28388,28876,29387,29954,30513,31015,31562,32117,32689,33261,33849,34412,34997,35621,36249,36906,37591,38289,38964,39704,40403,41232,42034,42846,43685,44488,45352,46252,47124,48009,48898,49804,50682,51550,52511,53410,54385,55379,56445,57431,58466,59520,60578,61678,62781,63934,65098,66249,67412,68591,69878,71182,72452,73860,75313,76750,78227,79728,81199,82757,84165,85694,87252,88851,90440,92025,93750,95520,97253,99050,100907,102839,104639,106624,108548,110543,112576,114646,116784,118854,121047,123347,125608,127950,130280,132781,135249,137707,140155,142738,145357,148071,150776,153430,156121,158851,161705,164545,167528,170523,173585,176581,179690,182897,186227,189647,193006,196491,200093,203585,207140,210754,214380,218136,221861,225645,229451,233312,237260,241153,245151,249301,253551,257929,262237,266725,271277,275976,280696,285404,290250,295128,300310,305429,310582,315893,321294,326757,332315,337813,343688,349545,355499,361494,367537,373621,379933,386332,392864,399475,406129,412897,419911,426979,434072,441257,448535,455761,463234,470784,478376,486029,493653,501608,509701,517775,526120,534486,542703
1,1,1,1,2,4,5,5,7,7,9,11,11,11,11,15,16,17,17,18,20,21,21,22,24,24,26,26,27,28,32,34,39,41,44,47,49,52,52,53,55,56,56,56,59,63,66,72,77,83,85,88,90,92,95,98,99,101,104,106,110,114,116,117,119,122,122,123,125,127,129,133,137,140,140,142,149,152,155,160,165,171,178,182,184,188,193,199,202,204,207,213,221,226,230,234,240,250,255,261,265,267,275,279,288,297,307,311,322,331,337,348,352,359,375,379,389,393,399,403,413,417,421,425,432,441,448,455,463,473,477,482,490,496,500,504,509,514,522,528,533,541,547,551,556,556,563,574,579,583,591,596,604,609,616,623,628,634,638,643,648,661,664,667,673,679,688,698,702,711,721,728,734,736,741,749,753,761,774,781,784,790,797,803,811,817,821,825,833,841,843,849,851,859,864,869,873,874,875,880,884,887,892,897,900,908,912,917,925,929,933,935,941,946,948,956,964,969,972,976,988,990,997,1005,1011,1014,1018,1025,1035,1040,1049,1056,1060,1070,1076,1083,1092,1103,1110,1116,1119,1125,1134,1141,1149,1160,1168,1179,1185,1195,1199,1206,1216,1226,1233,1240,1252,1261,1272,1279,1293,1309,1328,1341,1350,1367,1381,1398,1403,1413,1421,1441,1454,1467,1480,1491,1499,1512,1528,1540,1553,1566,1577,1593,1606,1620,1630,1647,1663,1674,1687,1703,1713,1729,1745,1760,1789,1815,1828,1835,1849,1870,1897,1919,1941,1958,1982,2005,2027,2044,2058,2073,2100,2127,2152,2176,2205,2241,2264,2290,2316,2333,2357,2373,2398,2415,2448,2474,2506,2530,2564,2590,2618,2641,2665,2698,2739,2772,2806,2834,2860,2895,2922,2948,2975,3007,3031,3054,3091,3128,3160,3192,3228,3261,3291,3324,3363,3390,3423,3451,3481,3507,3549,3578,3623,3648,3693,3741,3779,3823,3867,3902,3939,3970,4004,4039,4087,4126,4175,4226,4264,4292,4339,4381,4431,4475,4499,4532,4572,4616,4657,4686,4724,4765,4795,4835,4885,4924,4969,5007,5038,5070,5103,5136,5173,5207,5239,5267,5297,5342,5370,5415,5459,5494,5524,5555,5594,5618,5646,5681,5727,5771,5799,5832,5880,5927,5979,6030,6062,6101,6136,6174,6220,6263,6303,6345,6389,6445,6490,6530,6568,6612,6658,6701,6742,6798,6851,6912,6968,7038,7093,7129,7180,7239,7304,7372,7443,7500,7553,7630,7683,7746,7808,7866,7935,8001,8069,8138,8203,8288,8361,8436,8512,8604,8667,8742,8810,8902,8990,9082,9171,9251,9341,9438,9525,9611,9703,9788,9905,10002,10104,10190,10288,10386,10505,10590,10691
1,1,4,6,7,9,12,15,15,17,18,19,21,26,31,34,38,42,46,49,53,54,55,56,59,62,65,69,74,76,78,81,82,84,87,90,92,96,102,103,106,111,115,118,122,122,125,126,130,133,136,136,138,144,147,152,155,156,158,159,164,171,178,183,187,192,197,201,209,213,221,230,234,240,245,255,261,267,275,286,290,293,299,304,313,317,322,325,332,339,347,353,361,367,373,380,386,400,409,416,428,438,446,455,465,484,491,507,517,536,545,564,569,584,595,612,633,655,671,687,705,723,748,763,790,807,835,864,884,901,937,969,993,1026,1052,1083,1121,1165,1200,1232,1268,1300,1329,1360,1401,1439,1473,1513,1553,1611,1651,1699,1750,1776,1813,1847,1896,1942,1985,2023,2070,2120,2168,2221,2289,2344,2397,2463,2513,2566,2627,2688,2761,2834,2913,2998,3069,3138,3214,3280,3358,3445,3531,3622,3691,3786,3873,3956,4034,4122,4200,4291,4388,4501,4593,4681,4784,4872,4982,5095,5208,5311,5425,5525,5628,5740,5883,5988,6110,6211,6334,6471,6581,6694,6799,6928,7052,7160,7257,7379,7504,7640,7762,7884,8016,8152,8280,8389,8516,8653,8776,8889,9014,9143,9290,9407,9550,9692,9834,9970,10110,10264,10400,10548,10707,10871,11043,11245,11402,11561,11751,11941,12139,12328,12509,12697,12909,13104,13306,13491,13688,13910,14110,14331,14560,14801,15039,15263,15502,15748,15999,16276,16542,16831,17125,17390,17638,17927,18251,18566,18855,19194,19513,19848,20195,20552,20888,21276,21618,21986,22382,22751,23119,23542,23979,24396,24809,25266,25708,26156,26641,27172,27656,28153,28665,29172,29681,30215,30773,31329,31900,32518,33197,33919,34611,35308,36012,36790,37590,38415,39245,40096,41028,42007,42979,43913,44894,45897,46996,48096,49180,50302,51526,52689,53967,55254,56589,57894,59317,60738,62232,63697,65143,66603,68089,69633,71118,72574,74189,75741,77423,79038,80705,82389,84223,86082,87943,89920,91842,93835,95805,98005,100183,102413,104728,107072,109403,111836,114250,116754,119343,121975,124580,127201,129957,132574,135475,138412,141416,144447,147615,150770,153852,157047,160280,163699,167138,170523,174031,177659,181377,185051,189017,192934,196882,200838,204888,208950,213248,217580,222016,226441,230978,235507,240160,244878,249768,254608,259582,264520,269608,274873,280159,285588,291075,296740,302466,308289,314097,319921,325795,331656,337806,343960,350100,356281,362436,368788,374950,381248,387742,394110,400747,407204,413898,420632,427574,434624,441577,448644,455944,463306,470848,478416,486183,494098,502198,510559,518926,527384,535922,544587,553375,562150,571193,580333,589620,598982,608652,618233,628068,637975,647951,657756,667613,677768,688104,698171,708441,718603,729096,739457,749827,760542,771400,782313,793665,804869,816252,827853,839425,851318,863138,875298,887514,899968,912621,925514,938462,951618,964700,978251,991783,1005313,1019232,1033214,1047530
1,1,1,1,1,1,2,5,7,8,8,11,13,14,15,18,18,24,25,27,30,32,38,43,45,49,53,57,59,61,66,69,72,75,82,85,86,90,92,97,103,105,108,111,111,113,115,121,129,132,135,139,142,144,144,150,153,157,159,167,172,175,177,185,190,196,204,208,210,214,216,222,226,233,239,243,256,263,266,277,282,290,295,300,310,318,330,340,346,360,371,378,380,388,397,402,413,420,427,439,449,458,470,476,480,491,499,509,518,529,545,554,565,572,576,582,594,606,618,630,646,656,678,702,722,743,763,776,799,811,835,867,888,913,943,996,1023,1061,1089,1120,1151,1180,1214,1242,1268,1295,1320,1350,1376,1407,1441,1464,1484,1517,1559,1595,1635,1672,1723,1767,1807,1844,1874,1909,1961,2000,2042,2077,2112,2147,2194,2253,2301,2359,2411,2466,2522,2587,2662,2723,2791,2865,2955,3035,3120,3199,3282,3383,3496,3599,3696,3819,3934,4078,4206,4351,4488,4638,4814,4993,5161,5325,5497,5677,5839,6039,6252,6467,6665,6875,7100,7305,7503,7713,7900,8112,8336,8589,8825,9059,9290,9513,9747,9975,10233,10511,10783,11055,11310,11577,11858,12104,12425,12707,12994,13277,13595,13906,14222,14556,14864,15208,15543,15884,16209,16542,16873,17216,17568,17956,18339,18717,19084,19490,19886,20265,20676,21069,21492,21899,22353,22767,23227,23684,24174,24704,25264,25816,26364,26929,27464,28034,28675,29350,30026,30719,31458,32231,33064,33923,34738,35621,36547,37411,38414,39374,40357,41374,42428,43490,44592,45691,46857,48081,49321,50555,51835,53193,54607,56017,57448,58901,60335,61841,63377,64910,66461,67976,69527,71105,72699,74337,75993,77660,79305,80984,82763,84540,86420,88392,90331,92305,94443,96581,98694,100941,103179,105600,107945,110399,112833,115382,117949,120610,123312,125911,128582,131280,134093,136904,139721,142626,145551,148515,151491,154531,157676,160806,164124,167535,170884,174318,177769,181141,184670,188219,191810,195581,199318,203055,206764,210516,214369,218274,222250,226353,230674,234884,239259,243732,248158,252787,257451,262299,267081,271794,276792,281708,286720,291861,297013,302345,307648,313069,318589,324296,330020,335952,342204,348301,354800,361314,367826,374324,381222,388081,395156,402352,409467,416567,423740,431189,438827,446546,454076,461724,469577,477548,485627,493832,502050,510429,518885,527642,536378,545207,554376,563588,572947,582705,592328,602280,612093,622012,632259,642417,652814,663287,673781,684371,695225,706083,717129,728287,739581,750828,762221,773937,785534,797094,808815,820360,832286,844507,856920,869487,882199,895025,907921,921054,934528,947988,961468,975298,989433,1003768,1018190,1032674,1047345,1062233,1077415,1092847,1108333,1124048,1139831,1155778,1172005,1188132,1204443,1220884,1237510,1254222,1271272,1288456,1305983,1323278,1341157,1358921,1376674,1394920,1413128,1431285,1449915,1468681,1487714,1507252,1526860,1546759,1566701,1586818,1606834,1627231,1647864,1668362,1689163,1710009,1731075
1,1,1,1,1,1,4,4,4,4,4,6,6,10,11,11,14,18,19,19,20,22,25,29,31,35,38,40,45,52,58,68,72,80,83,93,101,109,121,123,133,141,152,162,171,180,196,207,219,231,243,250,260,268,283,301,328,338,351,370,387,409,431,456,481,513,537,564,588,621,655,676,709,742,770,819,858,907,958,1011,1076,1129,1203,1263,1314,1372,1455,1537,1628,1713,1797,1886,1983,2090,2204,2314,2421,2519,2649,2791,2928,3053,3174,3308,3455,3582,3711,3858,4018,4194,4361,4537,4714,4934,5102,5288,5475,5662,5855,6065,6279,6492,6731,6939,7179,7421,7657,7887,8145,8384,8636,8906,9164,9454,9737,10020,10313,10637,10946,11277,11627,11971,12301,12621,12977,13325,13667,14015,14383,14734,15107,15518,15946,16353,16792,17227,17666,18078,18515,18972,19439,19877,20329,20830,21341,21863,22392,22948,23493,24034,24596,25202,25777,26396,26970,27639,28293,28936,29628,30324,31063,31764,32510,33222,34024,34801,35560,36362,37145,37963,38825,39664,40482,41400,42329,43207,44123,45086,46018,47060,48093,49128,50169,51224,52316,53452,54616,55782,57003,58224,59455,60733,62020,63320,64556,65863,67186,68565,69860,71262,72609,73957,75407,76832,78315,79866,81363,82906,84528,86162,87799,89408,91117,92875,94574,96341,98245,100089,102051,103954,105883,107918,109970,112047,114153,116380,118580,120851,123069,125374,127761,130127,132514,135135,137586,140191,142879,145657,148412,151340,154322,157299,160304,163403,166520,169694,172924,176372,179882,183460,187059,190703,194385,198171,202117,206103,210187,214345,218535,222730,227150,231553,236130,240777,245430,250182,255139,260001,264993,270120,275403,280712,286072,291456,297107,302941,308993,315145,321192,327555,333940,340405,347112,353733,360425,367322,374145,381228,388184,395260,402371,409618,416927,424352,432011,439470,447311,455118,463080,471289,479587,487824,496224,504957,513615,522506,531615,540712,549976,559552,569046,578726,588540,598578,608846,619017,629546,640494,651356,662437,673798,685071,696507,708201,719923,731858,743953,756173,768522,780772,793297,805970,818761,831726,844745,857866,871291,884940,898534,912434,926445,940647,955111,969702,984339,999443,1014880,1030105,1045825,1061581,1077260,1093211,1109357,1125787,1142288,1159133,1175795,1192795,1209946,1227454,1244855,1262365,1280194,1298346,1316605,1334880,1353042,1371741,1390545,1409469,1428185,1447267,1466424,1485741,1505115,1524646,1544534,1564417,1584484,1604670,1624911,1645411,1666289,1687202,1708128,1729106,1750170,1771050,1792180,1813436,1835032,1856224,1877672,1899118,1921067,1942925,1964629,1987048,2009245,2031305,2053861,2076858,2099595,2122546,2145588,2168775,2191829,2215457,2239358,2263120,2286888,2310872,2335193,2359645,2383999,2408257,2432850,2457365,2482288,2507387,2532445,2557367,2582319,2607866,2632811,2658082,2683650,2708972,2734154,2759618,2785452,2811341,2836924,2862975,2889063,2915091,2941202,2967553,2993992,3020305,3046762,3073616,3100010,3127126,3154297,3181196,3208471,3235946,3263874,3291464,3319261,3346856,3374981,3403139,3431234,3459197,3487245,3515622,3543903,3572537,3601207,3629797,3658493,3687488,3716053,3744907,3773840,3802492,3831378,3860039,3888532,3916813,3945343,3973970,4002474,4030821,4059279
1,1,2,3,3,3,3,3,3,4,8,11,11,15,20,22,24,26,30,32,35,40,41,49,54,58,64,65,71,72,74,78,80,82,84,86,93,97,103,109,114,119,124,127,134,138,143,147,152,154,158,163,167,170,178,182,187,191,195,198,199,200,202,204,207,210,216,219,228,230,237,241,245,250,253,260,268,274,279,288,303,310,316,324,345,360,374,394,413,433,449,464,481,501,526,543,561,576,600,621,633,650,670,688,701,717,729,746,755,767,777,799,810,821,832,854,865,871,881,899,926,940,956,995,1016,1048,1086,1117,1145,1192,1240,1285,1349,1421,1491,1562,1643,1739,1836,1947,2055,2163,2277,2380,2512,2634,2739,2870,2969,3095,3213,3340,3464,3564,3665,3765,3867,3998,4123,4233,4358,4491,4649,4791,4918,5060,5216,5377,5530,5671,5858,6031,6204,6376,6598,6810,7030,7246,7451,7684,7937,8190,8449,8672,8885,9150,9372,9601,9847,10118,10378,10653,10951,11222,11482,11747,12000,12284,12574,12905,13204,13539,13894,14247,14625,14991,15342,15751,16182,16595,16980,17448,17882,18323,18780,19245,19766,20251,20755,21241,21702,22230,22813,23355,23921,24484,25087,25714,26289,26893,27518,28131,28813,29453,30132,30784,31471,32121,32833,33581,34335,35050,35821,36622,37423,38289,39114,39968,40864,41769,42676,43558,44521,45481,46402,47375,48359,49473,50460,51477,52554,53661,54724,55862,57031,58278,59534,60855,62222,63556,64911,66329,67819,69315,70781,72381,73955,75601,77223,78896,80615,82377,84065,85754,87433,89121,90900,92540,94300,95999,97687,99457,101260,103027,104894,106779,108746,110716,112664,114662,116816,118925,121040,123332,125576,127797,130075,132434,134799,137282,139756,142220,144735,147332,149877,152638,155341,158198,161016,163938,166847,169753,172804,175950,179143,182536,185884,189314,192796,196246,199929,203547,207254,211039,214787,218713,222644,226633,230706,234915,239078,243241,247521,251942,256444,260906,265550,270359,275375,280359,285273,290298,295383,300644,305918,311212,316502,322021,327508,333152,338943,344674,350501,356456,362548,368523,374607,380707,387136,393531,400176,406920,413883,420999,428244,435526,443085,450537,458057,465727,473655,481775,489916,498163,506703,515068,523744,532485,541471,550511,559830,569203,578954,588594,598207,608478,618516,629052,639421,649914,660738,671568,682738,693812,705146,716341,727731,739239,751167,763056,775167,787382,799940,812769,825565,838526,851687,865086,878672,892439,906700,920992,935477,949996,964663,979702,994910,1010151,1025690,1041425,1057106,1072916,1089034,1105357,1121729,1137972,1154589,1171293,1188369,1205426,1222858,1240120,1257829,1275579,1293450,1311752,1329852,1348169,1366722,1385253,1403889,1422505,1441278,1460340,1479330,1498471,1517994,1537303,1556653,1576032,1595718,1615258,1634974,1654835,1674836,1694527,1715142,1735636,1756266,1776900,1797665,1818499,1839299,1860405,1881812,1903011,1924560,1946126,1967829,1989363,2011277,2033168,2055394,2077758,2100177,2122621,2145310,2168156,2191110,2214194,2237239,2260483,2283828,2307173,2330576,2353927,2377417
1,1,1,1,1,2,3,3,3,6,6,7,10,11,11,15,17,18,22,27,30,33,33,40,43,46,51,52,54,59,66,68,75,81,85,93,99,104,109,115,122,132,143,146,155,164,175,185,190,202,219,227,237,246,256,269,281,292,299,306,312,320,323,330,341,349,367,384,403,415,429,465,514,556,634,722,813,904,1026,1138,1229,1319,1413,1506,1629,1734,1855,1983,2101,2260,2431,2573,2717,2872,3038,3255,3436,3598,3788,3974,4202,4396,4605,4829,5029,5238,5460,5666,5908,6118,6355,6576,6823,7061,7294,7540,7741,7938,8225,8466,8733,9000,9265,9561,9842,10135,10400,10688,10983,11242,11548,11845,12137,12446,12744,13077,13421,13734,14087,14410,14755,15086,15466,15842,16182,16518,16864,17215,17588,17948,18331,18718,19063,19473,19890,20307,20696,21092,21481,21884,22281,22698,23109,23512,23918,24369,24799,25244,25648,26050,26457,26859,27302,27772,28189,28648,29107,29549,29976,30398,30848,31295,31727,32169,32574,32993,33395,33840,34225,34629,35024,35410,35779,36157,36555,36931,37296,37661,38025,38381,38730,39104,39462,39852,40240,40597,40938,41320,41710,42095,42506,42886,43307,43703,44152,44563,44965,45389,45829,46275,46720,47185,47660,48156,48666,49168,49716,50217,50779,51321,51896,52421,52990,53629,54265,54910,55574,56219,56911,57582,58242,58981,59677,60443,61245,62037,62858,63689,64616,65492,66457,67408,68433,69364,70381,71412,72513,73617,74759,75919,77145,78395,79663,80960,82232,83584,84961,86417,87856,89269,90788,92302,93838,95440,97071,98678,100387,102116,103870,105647,107402,109234,111082,112946,114897,116848,118962,121008,123195,125505,127781,130021,132370,134806,137331,139876,142568,145317,148136,150925,153941,156889,159892,162965,166026,169117,172499,175857,179329,182757,186304,189886,193524,197178,200900,204731,208698,212884,217029,221212,225407,229742,234242,238780,243406,248210,253108,258078,263155,268378,273773,279216,284735,290384,296160,302017,307957,313980,320044,326351,332658,339093,345695,352262,359040,366098,373295,380604,388043,395511,403306,411051,418956,427172,435311,443520,451935,460602,469248,478028,486930,495923,505158,514163,523572,533107,542680,552380,562132,572108,582227,592575,603087,613573,624255,634953,645756,656794,668065,679466,691125,702620,714204,725993,738100,750147,762222,774577,787171,799612,812371,825097,837879,850882,863841,877038,890348,903962,917613,931302,945279,959363,973713,988062,1002461,1016936,1031659,1046465,1061361,1076542,1091996,1107729,1123414,1139457,1155614,1171838,1188178,1204803,1221639,1238415,1255608,1272723,1289969,1307315,1325053,1342986,1361076,1379056,1397104,1415468,1434049,1452640,1471599,1490511,1509625,1528679,1548313,1567659,1587340,1607026,1626966,1646829,1666812,1687130,1707444,1727990,1748423,1769381,1790447,1811778,1832868,1854196,1875863,1897564,1919295,1941339,1963280,1985386,2007556,2029879,2052448,2074874,2097529,2120157,2142709,2165317,2188265,2210834,2233782,2256783,2279888,2303274,2326523,2349936,2373620,2397568,2421119,2444832,2468953,2492857,2517078,2541599,2566044,2590753,2615192,2639820,2664731,2689374,2714412,2738978,2763727,2788850,2813694,2838922,2863821,2888930,2913959
1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,6,12,15,23,32,39,43,50,60,71,79,89,97,118,139,154,183,215,231,255,290,316,349,382,402,420,438,463,487,504,524,555,572,594,608,629,647,670,687,699,714,734,745,760,772,785,800,810,826,846,853,868,880,896,905,921,929,939,951,960,977,987,996,1015,1029,1039,1060,1073,1085,1099,1113,1134,1151,1167,1200,1226,1244,1268,1296,1312,1343,1365,1393,1417,1441,1486,1519,1557,1602,1639,1681,1722,1771,1800,1842,1884,1924,1961,1995,2040,2083,2122,2167,2213,2268,2308,2339,2375,2419,2467,2519,2581,2630,2677,2732,2776,2835,2882,2921,2976,3025,3088,3129,3177,3233,3291,3358,3404,3461,3530,3592,3652,3703,3750,3806,3862,3920,3976,4037,4090,4147,4206,4275,4348,4391,4474,4530,4595,4661,4728,4797,4858,4917,4995,5096,5177,5268,5354,5450,5525,5606,5685,5782,5889,6010,6107,6219,6315,6416,6533,6644,6751,6870,6984,7089,7194,7287,7393,7520,7628,7738,7862,7969,8079,8192,8306,8397,8521,8630,8764,8894,9007,9147,9250,9382,9514,9639,9781,9931,10067,10184,10304,10449,10585,10722,10884,11021,11188,11327,11463,11632,11768,11933,12092,12263,12450,12635,12781,12954,13145,13336,13557,13740,13925,14153,14363,14573,14761,14977,15164,15395,15626,15856,16096,16359,16598,16847,17089,17361,17627,17880,18160,18395,18681,18941,19222,19526,19844,20132,20437,20793,21110,21421,21741,22125,22544,22928,23346,23763,24188,24652,25103,25573,26001,26500,27012,27535,28085,28654,29226,29806,30399,30984,31590,32139,32784,33452,34091,34786,35424,36065,36727,37377,38030,38711,39382,40042,40797,41544,42309,43091,43807,44616,45424,46255,47071,47903,48773,49653,50564,51447,52294,53188,54071,54932,55861,56720,57655,58510,59433,60340,61251,62153,63064,64005,64982,65925,66958,67940,68949,69993,71061,72180,73314,74416,75541,76743,77956,79162,80400,81691,82902,84128,85402,86711,88059,89390,90761,92059,93479,94845,96260,97621,99083,100599,102040,103515,104963,106517,108051,109614,111193,112783,114437,116082,117772,119536,121174,122960,124832,126635,128478,130370,132252,134217,136203,138204,140271,142322,144428,146614,148701,150837,153115,155283,157621,159850,162248,164670,167142,169544,172161,174702,177291,179932,182467,185178,187992,190828,193679,196602,199567,202504,205527,208727,211876,215010,218321,221726,225095,228572,232255,235920,239603,243362,247212,251196,255209,259308,263476,267720,272106,276506,281136,285876,290630,295523,300388,305317,310402,315507,320802,325989,331153,336402,341914,347581,353329,359182,364990,370917,376845,382982,389288,395655,402093,408583,415345,422341,429320,436329,443626,450777,457981,465387,473035,480753,488633,496665,504733,512763,520979,529315,537685,546302,554976,563647,572560,581457,590585,599744,609187,618844,628546,638440,648397,658626,668844,679158,689549,700237,710916,721826,732957,744117,755307,766658,778323,789965,801777,813776
1,1,1,2,3,4,5,6,8,8,8,10,12,16,16,21,26,28,31,32,36,40,42,46,50,55,57,58,63,65,68,71,73,80,81,86,90,95,98,103,104,109,113,118,125,128,130,131,134,137,138,139,141,143,146,146,148,149,150,155,156,159,165,172,175,181,190,196,206,209,210,215,215,219,226,229,231,235,236,242,250,256,262,267,274,282,291,300,312,323,332,346,356,362,373,387,397,405,413,428,431,446,453,460,471,487,494,508,518,527,535,549,570,581,590,603,619,633,647,659,668,683,695,704,713,731,739,748,756,767,777,795,803,813,818,829,841,850,860,868,875,885,898,904,910,914,922,928,935,942,948,954,960,965,976,983,987,997,1007,1014,1029,1038,1044,1050,1054,1068,1076,1088,1102,1107,1123,1137,1144,1157,1178,1186,1204,1216,1234,1243,1255,1270,1283,1295,1312,1331,1349,1367,1381,1390,1406,1424,1442,1462,1493,1509,1527,1554,1578,1608,1634,1673,1690,1707,1734,1772,1798,1834,1859,1899,1942,1974,2012,2054,2105,2151,2200,2249,2291,2336,2391,2439,2490,2530,2588,2642,2692,2751,2810,2861,2925,2978,3037,3078,3130,3184,3246,3291,3346,3391,3442,3502,3561,3621,3680,3733,3785,3832,3893,3962,4009,4062,4120,4171,4214,4280,4339,4412,4468,4531,4599,4658,4722,4780,4839,4902,4967,5024,5088,5153,5213,5258,5324,5381,5446,5523,5606,5679,5736,5796,5863,5930,6017,6091,6183,6277,6380,6465,6580,6702,6814,6937,7056,7181,7325,7429,7548,7707,7871,8045,8174,8340,8523,8703,8877,9021,9190,9376,9547,9740,9942,10175,10362,10583,10808,11049,11312,11561,11851,12136,12400,12692,13007,13330,13661,13985,14336,14730,15091,15469,15836,16187,16556,16995,17422,17843,18306,18726,19205,19674,20152,20666,21151,21643,22178,22758,23343,23910,24546,25176,25829,26515,27235,27953,28682,29483,30295,31108,31948,32825,33667,34605,35548,36407,37364,38330,39316,40398,41458,42566,43630,44673,45725,46899,48018,49200,50426,51631,52905,54239,55537,56903,58246,59610,61087,62566,64042,65542,67130,68722,70293,71848,73491,75183,76904,78656,80438,82316,84156,86071,88131,90287,92483,94735,97070,99474,101911,104484,107056,109670,112301,115030,117884,120632,123469,126303,129270,132343,135359,138563,141694,144857,148092,151432,154859,158361,161914,165536,169152,172821,176588,180379,184229,188066,192136,196226,200383,204632,209062,213379,217694,222246,226883,231518,236236,240888,245644,250499,255236,260161,265154,270219,275442,280692,285924,291283,296675,302236,307740,313435,319207,325091,331057,336911,342982,349091,355373,361778,368370,374995,381748,388596,395524,402680,409726,417079,424404,431738,439245,446873,454595,462442,470479,478431,486588,494795,503168,511732,520372,529128,537952,547023,556191,565404,574791,584261,593792
1,1,1,2,2,3,3,4,6,8,8,8,8,8,8,9,9,11,14,17,22,25,31,33,36,39,41,46,50,53,55,62,64,66,70,73,82,85,89,92,97,98,104,108,114,120,124,128,130,132,133,135,139,146,149,153,154,156,161,169,171,172,174,178,182,190,194,196,201,204,207,214,221,224,229,235,239,246,249,252,260,271,277,282,287,294,303,308,312,320,331,344,350,365,374,381,389,399,407,418,425,438,445,457,469,479,484,491,496,503,509,520,529,538,545,554,567,579,586,595,603,612,623,639,645,659,674,688,697,707,721,732,745,762,778,790,799,813,831,846,867,881,900,923,940,962,985,1010,1037,1065,1088,1120,1151,1181,1213,1250,1279,1314,1356,1393,1422,1452,1481,1514,1540,1573,1614,1661,1690,1731,1767,1794,1828,1870,1898,1929,1967,1993,2036,2082,2111,2141,2179,2218,2251,2286,2327,2374,2409,2437,2474,2516,2561,2598,2642,2706,2775,2818,2879,2938,2982,3051,3115,3178,3253,3325,3383,3457,3539,3614,3693,3766,3841,3947,4056,4153,4277,4382,4512,4619,4758,4891,5050,5225,5402,5613,5791,5974,6199,6420,6640,6874,7094,7327,7563,7802,8046,8316,8619,8908,9185,9449,9742,10025,10350,10676,11014,11320,11660,11978,12283,12624,12966,13276,13630,14003,14338,14714,15042,15388,15707,16057,16412,16769,17128,17471,17844,18208,18544,18900,19256,19666,20077,20432,20758,21191,21589,22033,22451,22885,23337,23789,24268,24732,25153,25664,26149,26622,27121,27617,28109,28631,29134,29636,30152,30659,31199,31758,32377,32873,33390,33904,34442,35013,35546,36106,36639,37228,37823,38449,39058,39667,40268,40928,41624,42372,43075,43851,44618,45400,46165,46929,47735,48505,49352,50162,50987,51877,52760,53700,54644,55569,56539,57537,58610,59683,60782,62014,63178,64381,65574,66876,68089,69345,70660,71833,73126,74435,75703,76991,78279,79607,80889,82171,83553,84879,86228,87689,89162,90561,92053,93602,95150,96759,98359,100070,101700,103419,105160,106954,108751,110592,112558,114539,116575,118692,120805,122930,125205,127404,129711,132097,134470,136956,139506,142216,144891,147729,150644,153553,156489,159505,162480,165520,168634,171830,174988,178316,181528,184811,188041,191332,194724,198123,201546,204976,208604,212304,215977,219666,223415,227266,231256,235192,239213,243406,247599,251766,256049,260393,264761,269248,273702,278264,283000,287755,292497,297448,302477,307370,312582,317828,323095,328491,333856,339265,344870,350431,356227,362002,367807,373761,379701,385672,391848,398044,404468,410878,417545,424248,431070,438062,445009,452051,459350,466555,474136,481781,489527,497335,505412,513548,521845,530388,538968,547913,556933,565965,575116,584455,594069,603524,613325,623365,633573,643897,654320,664550,675137,685827,697005,708139,719644,730990,742714,754345,766161,778208,790502,802840,815279,827836,840624,853477,866651,879918,893390
1,1,1,1,1,1,1,1,2,4,5,5,5,7,9,10,13,15,15,16,16,18,20,24,26,29,31,33,36,38,42,45,52,59,65,68,76,79,81,84,89,93,98,102,105,109,118,122,134,146,151,162,173,185,195,207,224,233,242,256,267,277,289,304,325,338,353,368,385,405,421,448,469,495,513,535,558,579,603,627,659,688,730,764,792,808,835,855,875,894,922,943,973,1001,1020,1047,1072,1100,1119,1144,1165,1184,1215,1244,1266,1304,1331,1348,1371,1397,1428,1459,1486,1519,1551,1581,1608,1639,1662,1697,1732,1763,1796,1826,1874,1899,1940,1982,2023,2061,2093,2134,2163,2202,2244,2283,2328,2375,2428,2475,2520,2555,2596,2644,2680,2727,2762,2798,2827,2866,2900,2940,2972,3002,3036,3076,3112,3152,3186,3219,3253,3290,3328,3365,3406,3438,3477,3524,3559,3607,3655,3703,3742,3781,3844,3911,3964,4039,4084,4134,4197,4250,4311,4372,4418,4469,4527,4598,4650,4709,4772,4841,4909,4973,5049,5118,5184,5233,5291,5355,5420,5480,5543,5597,5666,5715,5774,5840,5910,5963,6016,6058,6128,6182,6239,6300,6364,6417,6474,6533,6595,6670,6752,6826,6916,7008,7087,7177,7273,7401,7563,7696,7855,8054,8248,8451,8660,8871,9066,9302,9501,9687,9870,10063,10264,10497,10700,10921,11173,11433,11681,11969,12254,12552,12886,13278,13741,14210,14712,15244,15765,16271,16811,17321,17874,18383,18887,19387,19899,20412,20875,21400,21918,22465,23018,23550,24077,24636,25172,25754,26260,26840,27369,27923,28444,29017,29595,30175,30743,31339,31955,32523,33100,33695,34243,34866,35467,36040,36671,37247,37882,38514,39105,39713,40298,40874,41471,42031,42583,43202,43754,44284,44865,45382,45989,46563,47131,47731,48353,48978,49643,50262,50847,51516,52172,52896,53593,54322,55114,55842,56655,57456,58283,59139,60039,60960,61831,62730,63694,64623,65604,66606,67607,68563,69642,70672,71796,72953,74173,75429,76730,78024,79335,80643,82053,83457,84901,86397,87890,89398,90987,92608,94216,95894,97578,99276,101000,102892,104715,106575,108521,110491,112566,114674,116749,118885,121097,123368,125691,128054,130376,132683,134989,137329,139774,142217,144826,147335,149967,152558,155154,157745,160560,163353,166160,169029,171849,174773,177722,180662,183636,186645,189828,193097,196309,199572,202983,206286,209822,213277,216987,220618,224322,228169,232115,235994,240005,244183,248372,252513,256748,261099,265559,269784,274346,278872,283387,288074,292742,297423,302276,307068,311929,317016,322179,327329,332618,337897,343298,348744,354437,360111,365881,371678,377685,383790,390025,396138,402362,408809,415362,422117,428903,435667,442614,449784,456923,464221,471490,478988,486670,494693,502691,510691,518825,527081,535537,544281,552928,561886,570812,579789,588964,598289,607856,617477,627212,637010,647199,657342,667378,677707,688285,698913,709734,720911,731979,743247,754451,765949,777512,789136,801263,813344,825555,837937,850297
1,1,2,2,4,5,7,9,9,9,9,9,9,9,9,13,14,16,19,22,26,26,33,39,42,53,63,71,79,83,99,107,118,131,147,162,180,197,211,222,236,257,268,279,290,298,310,324,341,358,374,386,403,417,438,448,466,490,509,535,556,574,606,630,663,687,725,761,801,837,887,921,965,1020,1082,1150,1213,1283,1358,1424,1493,1568,1642,1729,1813,1903,1972,2060,2150,2248,2339,2421,2501,2608,2711,2807,2923,3040,3133,3253,3357,3468,3564,3666,3765,3886,3989,4100,4217,4357,4458,4585,4721,4843,4967,5110,5248,5391,5536,5673,5832,5970,6092,6236,6393,6554,6712,6880,7050,7225,7371,7546,7720,7893,8073,8255,8437,8623,8812,8998,9200,9414,9621,9801,10008,10205,10441,10673,10926,11176,11422,11649,11925,12240,12532,12825,13123,13464,13821,14167,14493,14828,15200,15528,15831,16167,16524,16817,17172,17527,17891,18265,18656,19042,19422,19816,20194,20648,21139,21624,22046,22590,23082,23575,24032,24528,25005,25505,25967,26512,26985,27506,28039,28527,29054,29531,29999,30471,30961,31491,31983,32474,32973,33436,33918,34452,35002,35512,36086,36619,37183,37758,38335,38915,39575,40199,40853,41465,42164,42856,43531,44280,45011,45807,46576,47340,48086,48912,49773,50633,51495,52327,53208,54132,55085,56063,57028,58039,59066,59988,61017,62051,63052,64092,65138,66245,67296,68324,69490,70670,71905,73153,74435,75688,76933,78220,79559,80933,82316,83731,85167,86567,88032,89508,91046,92577,94198,95797,97492,99276,101004,102724,104557,106417,108382,110344,112362,114415,116577,118749,120893,123026,125323,127573,129866,132242,134555,136983,139379,141743,144211,146684,149254,151879,154506,157113,159793,162577,165316,168151,170963,173914,176832,179829,182833,185895,189040,192193,195435,198677,202015,205430,208880,212466,215938,219529,223167,226822,230541,234294,238070,241933,245956,250085,254197,258350,262489,266828,271322,275861,280373,284939,289615,294361,299291,304213,309318,314512,319583,324830,330349,335718,341198,346833,352744,358562,364367,370421,376390,382596,388844,395185,401632,408216,414854,421600,428467,435286,442230,449372,456721,464139,471571,479161,486767,494566,502422,510189,518126,526191,534443,542712,551234,559788,568488,577643,586660,595872,605288,614694,624521,634272,644273,654393,664660,675197,685686,696301,707167,718122,729410,740685,752123,763863,775606,787449,799426,811560,823717,836097,848555,861348,874264,887243,900250,913610,927160,940529,953869,967654,981474,995511,1009606,1023935,1038428,1053241,1067821,1082952,1098302,1113763,1129704,1145572,1161569,1177647,1194241,1210886,1228024,1245133,1262197,1279586,1297170,1314915,1332644,1350397,1368353,1386566,1404721,1423317,1441671,1460341,1479195,1498088,1516957,1536046,1555248,1574673,1594185,1613936,1633682,1653833,1673859,1693908,1714385,1734675,1755318,1776178,1797307,1818245,1839479,1860856,1882712,1904502,1926260,1947912,1969829,1991835,2014069,2036346,2058519,2080894,2103289,2125768,2148427,2171280,2194148,2217233,2240387,2263503,2286840,2310632,2334658,2358661,2382615,2406694,2431192,2455800,2480555,2505618,2530693,2555990,2581487,2607003,2632407,2658003,2683840,2710047,2736123
1,1,1,1,1,3,4,5,6,7,7,8,9,9,12,12,13,16,20,22,22,25,26,27,31,33,36,41,45,52,58,63,71,73,80,86,93,99,107,115,118,121,123,126,132,141,152,162,164,167,173,183,188,194,198,209,213,216,227,236,249,266,279,288,304,320,332,349,355,362,382,392,404,417,430,444,454,465,472,484,497,509,529,552,559,575,584,596,614,624,645,665,677,691,705,720,742,765,782,793,804,817,824,835,846,860,865,869,879,881,889,895,901,905,916,926,931,938,946,951,958,961,966,974,979,988,1002,1014,1022,1033,1049,1056,1072,1089,1107,1126,1152,1173,1200,1237,1271,1310,1341,1383,1421,1461,1496,1535,1578,1630,1658,1700,1755,1807,1849,1908,1963,2004,2055,2111,2164,2220,2270,2326,2383,2463,2516,2579,2633,2700,2765,2826,2896,2968,3048,3115,3194,3283,3356,3436,3519,3629,3721,3803,3900,4009,4131,4235,4346,4450,4563,4676,4793,4909,5034,5168,5304,5467,5620,5806,5969,6135,6292,6453,6630,6798,6953,7132,7310,7463,7640,7813,7973,8144,8315,8503,8686,8886,9098,9316,9535,9754,10009,10237,10473,10721,10998,11351,11661,12006,12338,12706,13066,13434,13798,14209,14618,15023,15459,15871,16308,16804,17312,17785,18255,18790,19375,19964,20558,21212,21924,22622,23342,24089,24885,25677,26503,27332,28195,29087,29919,30791,31702,32579,33463,34430,35351,36298,37245,38209,39222,40161,41164,42154,43179,44183,45263,46374,47499,48645,49812,51039,52280,53596,54861,56211,57465,58807,60134,61512,62915,64273,65660,66979,68412,69779,71185,72579,74065,75615,77060,78555,80050,81642,83196,84797,86419,88085,89755,91413,93078,94723,96507,98330,100174,101996,103917,105786,107654,109624,111660,113657,115680,117758,119843,122006,124194,126339,128505,130684,132987,135207,137483,139836,142190,144645,147033,149423,151848,154462,157074,159668,162285,164942,167618,170168,172881,175651,178473,181414,184306,187263,190220,193156,196188,199293,202430,205518,208812,212098,215423,218869,222465,226041,229764,233520,237375,241352,245422,249516,253673,257802,262207,266672,271262,275809,280509,285254,290118,295106,300165,305319,310690,315982,321488,326959,332415,338076,343739,349583,355418,361525,367575,373687,379833,386201,392592,398932,405436,412084,418791,425580,432502,439571,446605,453720,460912,468581,476111,483751,491591,499435,507387,515593,523913,532409,541060,549885,558976,568217,577587,587213,596969,606855,616676,626789,636848,647111,657476,667841,678461,689402,700358,711497,722761,734343,746225,758092,770176,782304,794443,806869,819543,832136,844926,858014,871203,884517,897936,911443,924936,938614,952627,966754,981013,995472,1010067,1024867,1039807,1054956,1070135,1085600,1101019,1116870,1133208,1149603,1166424,1183099,1200094,1217221,1234489,1252345,1269872,1287664,1305577,1323857,1342242,1360832,1379397,1398083,1417067,1435976,1455183,1474342,1493799,1513506,1533317,1553445,1573589,1594047,1614388,1635032,1655660,1676385,1697356,1718504,1739621
1,1,1,1,1,1,1,1,4,4,4,5,7,9,10,11,14,15,17,18,20,22,26,26,26,27,30,36,42,47,48,53,56,61,68,78,82,90,97,102,105,112,120,125,131,135,142,154,165,172,180,189,196,209,218,230,239,252,264,282,304,322,336,351,371,396,415,433,454,482,508,537,554,576,598,618,645,666,683,707,729,756,782,806,830,853,874,897,915,931,955,979,1004,1017,1044,1059,1076,1106,1126,1149,1171,1189,1213,1229,1252,1272,1291,1311,1330,1353,1374,1399,1419,1434,1456,1475,1503,1518,1527,1551,1562,1586,1610,1636,1663,1689,1710,1731,1755,1775,1809,1836,1862,1895,1932,1966,1987,2022,2043,2072,2106,2135,2170,2224,2268,2307,2351,2387,2429,2469,2521,2572,2622,2671,2713,2759,2813,2854,2907,2944,2985,3024,3074,3117,3162,3213,3258,3304,3360,3408,3470,3514,3549,3586,3629,3676,3729,3781,3838,3888,3937,3986,4040,4092,4138,4187,4242,4300,4355,4406,4465,4520,4581,4633,4682,4751,4814,4860,4917,4970,5032,5094,5154,5223,5300,5388,5452,5516,5585,5659,5740,5815,5889,5955,6011,6092,6168,6271,6346,6433,6510,6591,6696,6789,6903,7009,7114,7198,7301,7407,7508,7641,7773,7904,8028,8153,8297,8431,8592,8741,8879,9049,9220,9389,9536,9703,9885,10074,10290,10487,10706,10909,11131,11354,11586,11822,12067,12296,12551,12784,13040,13259,13505,13763,14022,14291,14545,14807,15070,15366,15650,15920,16201,16510,16784,17083,17401,17715,18019,18311,18633,18956,19296,19623,19978,20345,20706,21066,21390,21760,22129,22465,22809,23131,23458,23802,24183,24579,24983,25334,25721,26138,26539,26952,27352,27767,28182,28603,28998,29430,29863,30285,30753,31247,31721,32195,32697,33182,33723,34237,34813,35364,35907,36496,37040,37623,38215,38839,39474,40081,40712,41370,42107,42819,43496,44287,45049,45825,46623,47406,48206,49014,49828,50668,51526,52414,53365,54260,55238,56183,57182,58211,59236,60255,61376,62454,63563,64683,65811,67003,68192,69482,70811,72129,73442,74798,76160,77585,79055,80531,82057,83605,85223,86883,88514,90141,91838,93657,95494,97370,99383,101538,103637,105810,108009,110377,112783,115120,117495,119943,122400,125005,127622,130213,132784,135474,138322,141201,144102,147111,150126,153322,156553,159659,162833,166191,169576,173105,176681,180143,183754,187445,191134,194903,198611,202428,206350,210332,214213,218258,222360,226489,230623,234856,239230,243524,247972,252405,256981,261572,266276,270925,275603,280412,285242,290095,295049,299962,305104,310185,315282,320539,325849,331221,336531,341915,347538,353209,358949,364805,370722,376750,382931,389159,395609,402127,408814,415713,422559,429496,436600,443901,451110,458440,466008,473680,481438,489185,497266,505198,513115,521299,529433,537790,546393,555149,563785,572683,581593,590581,599668,609016,618327,627943,637899,647811,657797,667930,678081,688356,699026,709699,720476,731112,742045,752983,764149
1,1,1,1,2,2,2,3,3,3,4,5,7,10,10,10,11,12,12,12,12,13,13,15,15,17,17,17,17,17,17,18,20,22,23,26,28,28,28,28,28,28,28,28,33,35,38,39,39,39,41,42,45,46,47,50,54,57,60,63,64,68,72,77,80,80,84,88,91,93,96,101,108,113,117,123,130,137,139,145,148,157,167,172,185,201,212,224,236,246,255,263,274,281,300,320,343,354,370,383,396,412,429,448,467,485,502,518,542,563,586,611,633,660,687,699,731,747,762,782,806,836,859,890,916,932,955,978,1002,1026,1045,1060,1074,1092,1115,1134,1153,1177,1204,1224,1242,1258,1281,1298,1330,1354,1373,1386,1400,1423,1440,1459,1482,1504,1521,1539,1561,1588,1615,1632,1646,1662,1680,1694,1716,1739,1755,1777,1800,1833,1861,1897,1917,1939,1973,1999,2028,2063,2091,2125,2155,2189,2223,2270,2294,2332,2371,2416,2461,2508,2554,2606,2648,2687,2737,2778,2822,2861,2906,2946,2984,3025,3053,3093,3125,3168,3217,3251,3301,3346,3397,3444,3492,3553,3602,3664,3728,3788,3855,3909,3980,4044,4115,4186,4271,4358,4443,4539,4621,4725,4816,4908,5003,5135,5244,5361,5452,5551,5683,5784,5881,5998,6111,6233,6377,6518,6667,6790,6928,7090,7234,7409,7563,7723,7886,8062,8208,8383,8567,8749,8936,9113,9308,9492,9711,9905,10105,10328,10513,10747,10961,11179,11449,11690,11968,12239,12527,12840,13195,13550,13930,14303,14682,15133,15585,16017,16469,16922,17388,17864,18326,18820,19284,19762,20231,20710,21167,21704,22135,22598,23045,23485,23952,24377,24821,25277,25753,26211,26625,27066,27519,28014,28435,28863,29336,29789,30251,30759,31227,31692,32166,32634,33136,33676,34207,34707,35258,35830,36416,36954,37495,38072,38620,39196,39802,40362,40921,41512,42168,42798,43476,44109,44757,45456,46105,46729,47438,48128,48843,49600,50312,51085,51902,52751,53658,54564,55429,56294,57248,58169,59143,60086,61088,62104,63127,64235,65376,66528,67664,68802,69969,71148,72432,73658,74889,76119,77423,78772,80185,81625,82987,84332,85759,87191,88651,90143,91786,93350,94929,96553,98246,100006,101790,103553,105319,107227,109096,110971,112856,114844,116818,118829,120819,122912,124894,126932,128990,131138,133286,135523,137805,140156,142460,144839,147243,149701,152184,154666,157186,159695,162344,164923,167648,170393,173435,176448,179500,182558,185709,188910,192296,195714,199219,202749,206474,210194,213981,217921,221974,226196,230408,234700,239187,243873,248657,253562,258487,263576,268939,274372,279920,285621,291261,297070,302970,308861,315068,321187,327425,333748,340099,346704,353393,360180,366934,373711,380749,387861,395172,402393,409903,417628,425303,433238,441167,449169,457319,465801,474264,482817,491624,500439,509424,518585,527855,537199,546726,556209,565915,575696,585536,595518,605456,615688,625957,636516,647252
1,1,1,3,8,10,11,12,15,15,15,15,16,18,20,22,24,29,31,35,39,41,43,47,51,53,55,59,62,65,70,75,78,81,89,95,98,104,106,113,123,129,134,143,150,158,163,170,180,181,186,193,204,214,218,226,237,243,252,268,281,296,318,330,343,358,373,384,394,412,424,441,459,485,501,514,536,549,564,577,594,606,620,633,642,655,670,679,692,705,723,745,757,768,788,806,819,839,854,866,874,887,906,913,929,940,958,975,987,1005,1027,1041,1057,1073,1090,1107,1124,1138,1159,1176,1203,1227,1250,1280,1301,1321,1345,1378,1397,1420,1440,1459,1483,1516,1548,1572,1589,1618,1633,1668,1693,1720,1742,1765,1795,1823,1844,1862,1893,1922,1963,1989,2019,2053,2077,2099,2128,2152,2186,2213,2250,2286,2316,2352,2391,2436,2469,2516,2570,2626,2683,2725,2770,2811,2854,2913,2975,3029,3078,3131,3182,3233,3286,3344,3404,3459,3523,3593,3671,3742,3847,3921,4027,4110,4206,4309,4400,4481,4563,4651,4758,4885,4992,5110,5220,5351,5470,5595,5731,5855,5995,6131,6287,6449,6569,6730,6872,7036,7179,7322,7468,7640,7801,7963,8112,8259,8412,8586,8736,8898,9083,9252,9431,9612,9793,9961,10156,10361,10578,10775,10976,11186,11387,11597,11830,12059,12240,12461,12689,12924,13139,13360,13591,13835,14068,14279,14473,14694,14908,15133,15355,15581,15802,16017,16222,16426,16662,16913,17164,17425,17666,17886,18126,18389,18677,18945,19218,19516,19765,20089,20374,20664,20945,21247,21511,21839,22155,22460,22777,23124,23496,23854,24208,24612,25011,25405,25836,26260,26674,27088,27561,27996,28405,28819,29285,29752,30171,30640,31165,31694,32213,32730,33295,33864,34423,35035,35671,36282,36903,37510,38154,38788,39445,40065,40729,41377,42009,42726,43407,44129,44841,45560,46314,47045,47791,48483,49211,49968,50725,51486,52260,53068,53919,54730,55511,56370,57179,58074,58980,59923,60858,61800,62804,63747,64724,65768,66771,67856,68950,70049,71156,72244,73444,74563,75774,77024,78362,79654,81037,82432,83831,85274,86749,88193,89722,91289,92805,94426,96132,97737,99412,101173,102858,104590,106322,108174,109995,111840,113786,115638,117557,119464,121506,123607,125715,127816,129983,132082,134349,136642,139029,141379,143680,146049,148517,151123,153629,156295,159064,161858,164699,167587,170579,173494,176558,179674,182762,185993,189180,192497,195933,199485,203010,206583,210242,213861,217517,221217,225283,229298,233319,237521,241654,245977,250293,254582,258965,263437,268121,272845,277537,282269,287029,292026,297204,302443,307690,313159,318710,324384,330023,335879,341884,348030,354291,360696,367190,373583,380217,387012,393757,400619,407568,414748,421808,429124,436455,443713,451196,458725,466275,474230,482120,489902,498099,506459,514827,523271,531825,540553,549439,558367,567717,576985,586530,596243,605991,616021,626054,636305,646504,657189,668063,678962,690165,701377,712750
1,1,1,1,2,4,6,11,13,15,18,19,21,25,26,30,35,37,40,41,50,57,60,66,73,77,80,85,88,93,97,106,110,114,117,123,129,131,137,140,145,148,152,154,156,161,164,164,166,168,170,170,171,174,179,179,184,186,190,192,193,193,196,196,202,205,211,213,215,217,219,222,223,226,230,232,234,234,238,240,242,244,246,253,258,266,272,276,283,290,294,294,297,303,305,310,313,316,323,324,332,340,345,352,354,357,361,368,374,379,383,387,392,394,398,402,408,411,411,415,418,429,432,436,441,444,455,465,473,480,484,491,498,505,518,532,538,549,552,563,578,586,597,604,613,624,636,642,652,660,672,685,694,702,714,729,745,760,774,785,797,809,821,830,842,858,864,879,891,907,917,937,951,967,987,1000,1020,1037,1056,1070,1082,1101,1129,1142,1162,1180,1203,1228,1247,1259,1278,1301,1318,1349,1369,1395,1417,1442,1470,1499,1523,1555,1592,1618,1646,1678,1725,1759,1796,1836,1877,1902,1932,1966,2007,2068,2099,2146,2197,2245,2285,2348,2408,2467,2536,2619,2710,2800,2875,2950,3066,3146,3241,3328,3421,3510,3584,3673,3767,3859,3952,4052,4163,4259,4338,4439,4511,4602,4694,4781,4876,4957,5034,5112,5183,5262,5335,5410,5490,5570,5646,5720,5802,5889,5968,6036,6133,6239,6353,6458,6577,6699,6807,6946,7075,7197,7320,7465,7596,7761,7895,8036,8176,8308,8435,8571,8723,8895,9055,9208,9377,9551,9707,9880,10062,10235,10427,10669,10907,11131,11398,11635,11905,12149,12414,12646,12907,13154,13436,13712,13972,14227,14516,14822,15154,15472,15787,16094,16413,16776,17121,17528,17973,18371,18812,19272,19725,20196,20683,21124,21546,22001,22478,22970,23448,23932,24395,24863,25378,25899,26413,26921,27465,27935,28420,28935,29455,30008,30571,31102,31622,32202,32781,33383,33985,34583,35191,35871,36623,37288,38021,38682,39373,40045,40738,41542,42314,43148,43945,44735,45543,46309,47143,47962,48781,49611,50504,51374,52239,53107,54054,54971,55898,56839,57780,58726,59704,60672,61717,62752,63784,64855,65868,66949,68072,69201,70349,71529,72750,73955,75235,76533,77857,79238,80578,81956,83365,84754,86190,87657,89267,90862,92491,94213,95955,97811,99559,101338,103163,105015,106896,108815,110721,112691,114582,116613,118588,120630,122735,124849,127055,129384,131740,134033,136392,138828,141367,143963,146616,149276,152062,154963,157934,161009,164208,167351,170617,173878,177209,180725,184362,187949,191578,195261,199108,202908,206729,210695,214796,218965,223203,227658,232070,236617,241259,245913,250655,255415,260346,265266,270281,275340,280467,285638,290769,296142,301477,306898,312212,317629,323266,328870,334649,340606,346596,352695,359058,365527,372033,378495,385416,392376,399380,406406,413481,420636,427942
1,1,1,1,1,1,2,4,6,6,6,10,10,11,12,16,18,19,21,23,23,24,25,26,29,32,35,37,43,46,49,50,56,63,64,65,72,73,80,87,93,99,104,109,113,120,128,131,137,144,153,156,160,166,178,184,195,205,217,227,235,247,261,270,279,289,296,307,324,337,343,350,362,372,385,394,412,426,433,450,463,474,488,509,521,540,552,570,582,602,618,631,645,662,669,686,697,715,728,742,753,765,777,797,804,815,830,838,849,860,876,886,898,915,927,935,945,953,965,971,978,983,993,1001,1007,1016,1023,1029,1041,1048,1056,1067,1072,1079,1088,1094,1099,1103,1111,1126,1136,1144,1150,1161,1177,1189,1202,1211,1216,1221,1232,1236,1249,1253,1261,1272,1278,1285,1290,1298,1304,1311,1319,1325,1332,1338,1344,1352,1358,1367,1376,1388,1402,1411,1418,1427,1438,1448,1458,1470,1480,1494,1506,1522,1538,1557,1574,1591,1607,1632,1650,1670,1694,1709,1723,1739,1765,1785,1808,1824,1836,1859,1876,1907,1922,1961,1983,2000,2021,2043,2061,2075,2097,2125,2147,2187,2221,2243,2274,2309,2344,2364,2382,2404,2432,2472,2501,2536,2564,2589,2616,2651,2678,2715,2745,2789,2818,2845,2875,2903,2935,2971,3009,3035,3073,3110,3148,3177,3213,3262,3296,3335,3372,3401,3445,3479,3519,3553,3594,3649,3686,3727,3778,3827,3878,3921,3970,4014,4069,4107,4164,4210,4250,4305,4357,4419,4464,4511,4572,4612,4652,4705,4752,4811,4856,4914,4960,5019,5081,5143,5192,5263,5317,5365,5431,5476,5529,5590,5646,5694,5755,5826,5910,5969,6051,6115,6187,6253,6331,6405,6485,6567,6653,6731,6818,6906,6975,7071,7161,7254,7345,7457,7540,7642,7741,7829,7925,8023,8115,8232,8335,8436,8564,8664,8748,8844,8939,9025,9131,9233,9345,9438,9544,9660,9766,9871,9987,10098,10202,10305,10421,10536,10635,10741,10875,11015,11139,11275,11430,11565,11702,11842,11995,12144,12299,12448,12593,12747,12889,13055,13227,13414,13615,13801,13979,14170,14379,14581,14775,14999,15210,15474,15735,16015,16304,16570,16875,17202,17528,17868,18202,18552,18912,19280,19651,20019,20392,20774,21128,21472,21835,22200,22575,22935,23284,23653,24066,24476,24908,25339,25755,26253,26703,27251,27779,28352,28918,29558,30172,30774,31386,32024,32684,33364,34052,34739,35481,36191,36945,37654,38459,39261,40095,40896,41764,42612,43538,44420,45334,46250,47240,48153,49142,50139,51175,52244,53319,54439,55557,56734,57882,58963,60049,61179,62399,63614,64916,66120,67475,68742,70090,71454,72867,74320,75780,77328,78863,80474,82128,83774,85429,87217,88891,90634,92343,94147,96011,97767,99642,101515,103424,105382,107294,109246,111336,113266,115360,117446,119634,121884,124191,126482,128927,131426,133979,136463,139136
1,1,2,2,3,7,8,10,12,13,18,18,20,25,29,33,36,40,43,47,49,53,55,58,68,73,76,84,85,87,95,104,110,115,122,126,132,136,142,151,161,164,172,174,176,180,189,198,207,222,233,241,256,268,285,299,314,327,340,350,367,376,394,421,443,470,486,510,540,565,588,622,649,674,704,736,762,798,823,846,874,908,927,949,976,1000,1026,1058,1079,1114,1147,1166,1189,1214,1233,1251,1286,1318,1351,1383,1417,1444,1475,1508,1549,1587,1624,1654,1686,1726,1743,1781,1820,1848,1872,1900,1928,1955,1983,2012,2048,2072,2093,2110,2144,2159,2180,2203,2219,2234,2251,2266,2279,2288,2305,2314,2322,2333,2346,2350,2362,2366,2377,2384,2393,2399,2402,2405,2411,2415,2421,2427,2432,2435,2442,2448,2453,2455,2457,2459,2468,2474,2485,2497,2504,2523,2539,2550,2557,2570,2578,2591,2602,2610,2625,2643,2652,2667,2681,2698,2711,2731,2741,2760,2768,2782,2800,2816,2832,2849,2864,2876,2889,2901,2913,2927,2942,2956,2974,2992,3012,3032,3052,3074,3088,3098,3111,3124,3141,3152,3163,3179,3195,3215,3226,3242,3262,3276,3291,3318,3334,3344,3360,3376,3399,3414,3430,3445,3462,3481,3505,3515,3532,3549,3560,3569,3585,3593,3604,3610,3627,3645,3659,3678,3685,3693,3702,3708,3717,3726,3730,3741,3757,3767,3777,3792,3799,3807,3816,3822,3828,3835,3839,3849,3854,3855,3861,3867,3875,3885,3888,3895,3903,3912,3922,3926,3929,3934,3937,3939,3941,3944,3947,3951,3953,3957,3959,3961,3962,3962,3968,3973,3975,3982,3984,3985,3989,3990,3996,4000,4002,4005,4008,4010,4013,4016,4017,4020,4022,4024,4025,4027,4030,4032,4035,4035,4038,4039,4042,4044,4045,4049,4051,4053,4058,4059,4060,4061,4064,4069,4069,4071,4072,4075,4082,4086,4089,4091,4099,4099,4101,4107,4110,4118,4130,4137,4148,4157,4173,4188,4207,4213,4225,4231,4242,4257,4274,4288,4300,4315,4338,4349,4363,4380,4391,4403,4413,4430,4444,4469,4486,4514,4541,4566,4593,4624,4658,4687,4737,4798,4870,4942,5023,5121,5221,5318,5422,5523,5613,5706,5789,5883,5972,6049,6134,6248,6363,6460,6558,6670,6798,6934,7080,7228,7389,7589,7762,7939,8105,8316,8552,8768,8991,9228,9483,9732,9988,10225,10457,10662,10888,11074,11298,11500,11684,11890,12078,12272,12489,12679,12842,13030,13238,13432,13623,13825,13997,14172,14391,14604,14827,15027,15239,15471,15691,15931,16159,16387,16626,16852,17091,17312,17523,17754,17975,18203,18452,18721,18995,19258,19520,19789,20072,20345,20664,20999,21298,21593,21941,22262,22581,22868,23203,23537,23858,24181,24519,24894,25253,25653,26033,26397,26775,27122,27478,27871,28236,28632,29021,29437,29841,30240,30656,31075,31444,31800,32234
1,1,2,3,6,9,9,11,13,13,15,18,19,21,22,23,26,30,31,33,36,40,42,45,48,50,55,58,60,62,64,70,77,77,80,80,83,86,90,93,95,100,103,105,110,115,116,121,126,127,130,134,137,142,144,147,148,152,154,157,160,165,166,166,172,178,188,193,200,210,215,218,230,239,244,248,251,256,263,268,281,285,289,296,300,304,308,314,320,326,329,334,349,361,368,380,385,391,395,402,410,425,440,455,468,482,494,514,529,550,584,609,633,657,691,706,736,761,791,827,876,931,975,1028,1072,1112,1156,1207,1256,1299,1344,1380,1426,1464,1508,1554,1617,1663,1713,1767,1816,1884,1933,1999,2055,2121,2185,2260,2343,2423,2505,2577,2678,2760,2835,2923,3020,3129,3241,3350,3470,3588,3699,3804,3929,4054,4160,4279,4408,4536,4675,4799,4925,5075,5243,5395,5557,5697,5834,5969,6116,6280,6430,6604,6779,6946,7153,7349,7541,7714,7875,8088,8302,8499,8693,8894,9088,9299,9544,9768,9990,10218,10438,10691,10970,11232,11513,11793,12098,12419,12741,13049,13357,13688,14039,14398,14778,15145,15540,15997,16449,16874,17287,17735,18210,18707,19224,19721,20221,20704,21204,21729,22234,22770,23305,23878,24422,24974,25540,26128,26735,27405,28036,28713,29378,30069,30762,31550,32299,33081,33887,34701,35467,36293,37081,37905,38772,39644,40606,41503,42431,43409,44464,45452,46428,47487,48542,49633,50727,51859,53016,54137,55353,56495,57692,58928,60137,61395,62640,63982,65326,66635,68064,69465,70879,72332,73736,75197,76696,78149,79662,81178,82704,84252,85837,87425,89006,90682,92392,94144,95929,97670,99467,101316,103141,104972,106939,108899,110910,112956,115074,117301,119483,121662,123955,126265,128568,130967,133445,135966,138498,141028,143601,146322,149059,151870,154749,157815,160966,164164,167401,170642,174100,177554,181098,184700,188453,192149,195967,199929,203787,207851,211932,216141,220374,224737,229086,233307,237823,242258,246983,251659,256545,261488,266329,271381,276597,281924,287264,292841,298415,304122,310100,316123,322314,328631,334977,341381,347782,354498,361286,368196,375128,382140,389279,396713,404035,411719,419478,427526,435643,444064,452456,461253,469989,479200,488452,497790,507307,516892,526619,536486,546504,556660,566883,577422,588078,598722,609594,620663,631825,642994,654444,665827,677269,689066,700977,712962,724975,737244,749554,761895,774467,787189,800109,813084,826336,839644,853006,866486,880050,893767,907471,921453,935824,950102,964931,979313,994147,1008831,1023847,1039029,1054384,1069853,1085759,1101821,1118152,1134433,1150953,1167646,1184669,1202010,1219288,1236679,1254547,1272750,1290803,1309064,1327869,1346369,1365295,1384290,1403524,1423103,1442886,1462796,1482502,1502495,1522726,1542776,1563057,1583476,1604395,1625191,1646340,1667270,1688651,1710069,1731718,1753440,1775231,1797067,1819062,1840962,1863247,1885651,1908180,1931014,1953815,1976632,1999868,2023230,2046689,2070186,2093676,2117600,2141623,2165618,2189652,2213650,2237643,2261625,2286223,2310878,2335600,2360419,2385302
1,1,2,3,3,5,6,8,8,10,11,11,12,14,14,17,20,21,24,27,31,32,36,37,39,39,40,46,50,54,56,63,71,80,87,93,96,103,107,116,124,138,143,150,163,175,182,192,203,217,226,248,258,274,283,297,310,323,331,345,355,364,378,396,410,426,440,449,459,470,486,504,519,531,540,555,562,573,589,608,629,654,682,704,728,740,760,782,804,829,855,887,913,933,963,988,1009,1040,1064,1092,1115,1144,1191,1223,1249,1282,1313,1348,1369,1395,1428,1463,1493,1549,1594,1642,1687,1731,1783,1843,1889,1944,2005,2060,2142,2215,2279,2332,2419,2496,2582,2671,2762,2861,2956,3045,3121,3190,3288,3365,3437,3535,3660,3759,3850,3956,4054,4157,4291,4383,4487,4593,4726,4849,4969,5087,5226,5348,5500,5632,5807,5960,6133,6359,6589,6794,7049,7310,7579,7855,8131,8427,8757,9005,9286,9582,9904,10245,10570,10886,11195,11505,11823,12147,12472,12830,13159,13505,13867,14186,14543,14940,15316,15745,16138,16535,16968,17402,17880,18328,18819,19293,19801,20317,20839,21375,21867,22368,22892,23456,23971,24522,25090,25671,26229,26834,27472,28072,28676,29329,29955,30586,31282,31943,32628,33351,34065,34801,35542,36263,37107,37910,38726,39571,40432,41311,42158,43007,43933,44860,45805,46801,47789,48772,49818,50855,51877,52971,54019,55071,56202,57306,58383,59437,60598,61729,62873,64032,65277,66529,67753,68972,70200,71528,72854,74130,75444,76817,78143,79575,81087,82593,84196,85764,87469,89172,90957,92791,94623,96536,98544,100500,102675,104777,106881,109110,111317,113451,115652,117935,120232,122502,124927,127275,129769,132303,134871,137494,140164,142900,145779,148703,151644,154652,157760,160875,164107,167254,170585,173932,177213,180501,183910,187334,190729,194139,197510,201005,204522,208097,211602,215275,218975,222635,226398,230275,234129,238191,242223,246327,250597,255005,259189,263603,267975,272395,276773,281381,286087,290960,295783,300627,305516,310487,315357,320403,325521,330807,336053,341349,346820,352233,357472,363084,368725,374508,380270,386234,392088,398032,404209,410352,416740,422967,429409,435861,442438,449185,455830,462620,469436,476412,483621,490746,497985,505237,512525,519896,527462,535208,542854,550757,558778,566951,575401,583862,592492,601301,610054,618921,628098,637183,646398,655761,665260,674793,684401,694322,704235,714345,724434,734606,745116,755640,766226,777042,788109,799114,810389,821753,833586,845198,856950,868935,881241,893712,906275,919048,931752,944777,958126,971348,984580,998145,1011655,1025313,1039327,1053583,1067875,1082480,1097122,1111786,1126680,1141718,1156646,1172031,1187496,1203127,1219040,1234879,1251094,1267371,1283912,1300625,1317556,1334615,1351823,1368974,1386475,1403855,1421724,1439633,1457925,1476398,1494927,1513785,1532780,1551847,1571243,1590450,1609981,1629888,1649863,1670072,1690387,1710722,1731251,1752188,1773088,1794393,1815294,1836835,1858232,1879818,1901455,1923327,1944973,1967061,1989303,2011686,2034093,2056729,2079357,2101928,2124953,2147950,2171011,2193894,2216882,2240279,2263787,2287256,2310926,2334291,2357998,2381882,2405716
1,1,2,3,4,4,6,6,9,11,13,15,19,19,23,27,30,35,37,40,41,46,50,52,55,66,70,78,80,85,90,97,101,107,108,116,125,134,143,151,162,169,178,186,196,202,208,213,220,229,245,256,267,282,299,309,322,327,350,358,371,381,387,393,405,417,424,434,447,455,467,474,479,487,495,511,515,522,532,541,550,556,562,573,580,592,604,613,624,631,638,652,666,678,686,696,707,721,733,746,758,769,781,795,814,823,838,850,863,880,899,915,931,946,962,979,991,1013,1036,1053,1065,1084,1111,1124,1133,1154,1176,1192,1206,1224,1242,1264,1285,1307,1319,1342,1375,1399,1427,1450,1481,1512,1535,1571,1604,1636,1681,1707,1752,1793,1830,1873,1909,1963,1993,2036,2080,2124,2178,2208,2256,2298,2345,2394,2440,2491,2535,2580,2625,2673,2719,2772,2821,2871,2921,2971,3025,3075,3124,3183,3239,3292,3349,3396,3459,3529,3589,3642,3707,3755,3804,3889,3951,4009,4079,4136,4204,4255,4316,4387,4472,4539,4604,4687,4763,4824,4894,4991,5065,5139,5220,5296,5370,5451,5537,5623,5715,5814,5894,5967,6054,6141,6246,6327,6411,6509,6624,6722,6803,6915,7024,7112,7215,7315,7433,7539,7647,7767,7882,8019,8122,8223,8319,8426,8535,8636,8722,8854,8977,9110,9234,9366,9477,9591,9706,9826,9941,10075,10222,10348,10494,10632,10786,10947,11112,11257,11422,11580,11764,11950,12125,12301,12507,12729,12943,13158,13351,13558,13763,13961,14151,14368,14585,14792,15034,15235,15411,15613,15792,16026,16257,16521,16754,17000,17252,17535,17810,18089,18364,18703,18993,19356,19676,20055,20425,20792,21160,21536,21949,22342,22735,23141,23557,23965,24413,24853,25311,25770,26249,26718,27251,27767,28257,28791,29308,29902,30454,31083,31709,32321,32941,33669,34357,35065,35828,36570,37331,38146,38932,39824,40751,41652,42526,43460,44419,45434,46594,47732,49004,50260,51534,52812,54107,55505,56940,58403,59816,61220,62659,64124,65629,67125,68725,70302,71896,73448,75046,76595,78244,79852,81500,83243,85039,86839,88665,90447,92319,94221,96168,98189,100198,102244,104321,106532,108657,110886,113052,115286,117615,119975,122429,124996,127592,130250,132971,135731,138679,141461,144395,147266,150158,153129,156020,159046,162171,165379,168485,171668,174889,178126,181396,184808,188101,191604,195120,198724,202432,206182,210044,213853,217734,221740,225939,230160,234432,238794,243255,247592,252077,256606,261264,265964,270784,275671,280521,285523,290431,295627,300760,305999,311328,316584,321939,327352,332859,338615,344267,350224,355998,361978,368217,374651,381035,387289,393729,400392,406984,413786,420598,427514,434535,441667,448778,455976,463160,470409,477760,485377,493034,500633,508367,516088,524089,531947,540081,548320,556601,564924,573497,582224,591065,600136,609356,618485,627872,637157,646635,656178,665928,675721,685553,695638,705694,715984,726409,737060,747747
1,1,1,1,1,1,1,1,3,4,4,6,7,10,11,11,12,12,12,12,13,15,15,19,19,19,23,24,25,27,28,28,28,32,32,32,33,35,37,38,40,41,42,45,47,47,50,57,63,69,75,80,84,89,91,96,99,108,110,117,120,129,138,146,153,159,169,175,183,192,205,213,217,228,234,243,251,256,267,277,288,301,310,321,331,345,358,375,393,408,426,444,460,476,490,516,540,560,582,598,626,649,672,693,718,742,766,785,804,827,852,873,910,943,970,1010,1041,1073,1114,1157,1189,1219,1248,1275,1313,1360,1396,1433,1481,1542,1596,1642,1693,1743,1799,1858,1932,1996,2057,2138,2217,2300,2386,2471,2570,2673,2771,2864,2978,3082,3192,3299,3426,3561,3660,3775,3899,4044,4163,4292,4420,4568,4727,4875,5030,5201,5335,5493,5627,5795,5968,6103,6256,6404,6573,6727,6902,7083,7243,7391,7564,7734,7902,8040,8199,8371,8579,8771,8932,9134,9327,9528,9734,9969,10187,10417,10637,10876,11081,11299,11523,11753,11997,12215,12464,12701,12950,13210,13487,13773,14094,14424,14769,15092,15431,15762,16120,16508,16886,17256,17604,17995,18375,18765,19179,19599,20001,20399,20834,21261,21644,22057,22472,22910,23382,23779,24249,24735,25228,25782,26278,26804,27380,27906,28433,29002,29578,30179,30795,31409,32031,32706,33367,34067,34810,35536,36298,37014,37730,38499,39333,40223,41150,42107,43040,44044,45027,45960,46949,47978,49015,50054,51149,52283,53444,54566,55764,57025,58248,59575,60812,62213,63676,65171,66659,68149,69759,71299,72879,74499,76163,77833,79535,81298,83009,84817,86616,88412,90239,92193,94085,96068,98114,100129,102137,104270,106450,108644,110850,113077,115322,117561,119783,122127,124454,126810,129308,131828,134476,137167,139825,142526,145127,147924,150760,153672,156539,159525,162615,165839,168886,172007,175057,178392,181761,185157,188597,192021,195490,199077,202772,206508,210318,214184,218251,222249,226358,230612,234922,239118,243463,247877,252445,257064,261703,266333,271105,275975,280904,285951,290978,296311,301622,306979,312451,318047,323795,329865,335895,342057,348237,354514,360888,367446,374118,380784,387551,394429,401287,408211,415213,422539,429802,437246,444768,452391,459957,467815,475606,483678,491808,499934,508243,516703,525296,533936,542561,551225,560223,569386,578750,588192,597659,607459,617322,627279,637585,647845,658323,669042,679789,690741,701724,712753,724136,735688,747590,759569,771770,784141,796530,809160,822120,835015,847990,861434,874984,888644,902406,916522,930811,945339,959834,974430,989293,1004234,1019630,1035249,1050791,1066606,1082820,1099126,1115496,1132143,1148731,1165713,1182563,1199977,1217359,1234695,1252491,1270513,1288442,1306639,1325048,1343586,1362104,1380881,1399677,1418620,1438016,1457332,1476493,1495872,1515311,1534892,1554448,1574213,1594181,1614697,1635071,1655914,1676745,1697836,1718976,1740099,1761657,1783403,1804806,1826322,1848408,1870809,1893297,1915307,1937426,1959816,1982309,2005254,2028225,2051524,2074550,2097831,2121241,2144777,2168407,2192417,2216322
1,1,2,2,2,4,4,6,7,7,9,12,12,15,16,18,20,23,26,26,28,30,34,40,46,51,54,58,66,72,75,82,84,92,98,103,106,113,115,118,123,129,137,145,147,148,158,168,172,180,186,193,200,203,207,212,221,226,231,234,238,241,250,257,267,273,275,278,286,290,300,304,309,315,324,336,347,353,365,374,383,389,403,413,429,446,455,467,479,490,503,518,530,545,568,580,593,607,617,633,653,663,688,707,724,744,764,781,795,814,827,842,872,891,921,946,969,990,1014,1033,1056,1085,1107,1140,1174,1210,1229,1269,1309,1345,1376,1413,1456,1502,1537,1581,1612,1652,1706,1769,1831,1881,1931,1996,2063,2138,2207,2295,2356,2448,2542,2620,2711,2802,2908,3037,3143,3283,3408,3549,3684,3837,4006,4179,4361,4547,4722,4897,5073,5264,5483,5685,5922,6147,6372,6634,6907,7135,7393,7621,7857,8135,8376,8625,8864,9101,9330,9600,9879,10171,10446,10743,11015,11294,11621,11922,12239,12559,12866,13205,13522,13884,14207,14526,14863,15187,15548,15954,16338,16696,17106,17478,17869,18271,18668,19094,19514,19958,20437,20944,21449,21921,22418,22964,23490,23998,24542,25066,25571,26148,26724,27339,27857,28413,29004,29569,30149,30723,31311,31871,32450,33022,33623,34242,34827,35455,36124,36845,37522,38216,38932,39725,40478,41287,42068,42867,43681,44518,45385,46292,47243,48139,49065,49997,50934,51897,52932,53896,54888,55869,56851,57852,58921,59967,61002,62084,63151,64270,65374,66431,67591,68837,70046,71223,72423,73630,74868,76133,77433,78762,80097,81390,82770,84197,85602,87116,88577,90153,91763,93357,94913,96547,98231,99918,101667,103371,105200,107004,108830,110666,112640,114591,116499,118542,120569,122691,124910,127208,129502,131913,134255,136687,139151,141703,144347,147061,149836,152592,155365,158123,160969,163907,166864,169959,173051,176263,179421,182667,186010,189497,192954,196613,200353,204205,208068,212056,216130,220290,224461,228831,233311,237799,242392,247128,251828,256714,261477,266551,271580,276716,281981,287312,292856,298383,304046,309794,315724,321719,327599,333591,339815,346034,352285,358799,365430,372083,378856,385705,392741,400054,407286,414625,422166,429897,437728,445561,453680,462024,470372,478870,487561,496348,505371,514483,523776,533148,542593,552150,561807,571757,581684,591584,601880,612300,622858,633610,644406,655585,666814,678238,689864,701499,713347,725179,737387,749635,762096,774767,787856,800900,814203,827767,841668,855484,869526,883716,898180,912735,927443,942142,957048,972244,987801,1003409,1019142,1035058,1051213,1067731,1084355,1101009,1117834,1134720,1152068,1169319,1186739,1204201,1221988,1239932,1257884,1276282,1294837,1313414,1331965,1350967,1369979,1389163,1408238,1427481,1446901,1466671,1486245,1506146,1525944,1546150,1566478,1586969,1607599,1628460,1649416,1670387,1691565,1712971,1734720,1756313,1778335,1800461,1822540,1844586,1866760,1889182,1911841,1934515,1957108,1980021,2003268,2026460,2049854,2073264,2097209,2121126,2145125,2169220,2193550,2217746,2242029,2266485,2291197
1,1,1,1,1,1,2,3,3,4,7,7,7,7,8,8,10,10,13,17,20,20,25,30,34,40,43,47,52,57,59,65,70,75,82,89,93,98,103,106,112,116,120,127,130,137,142,145,152,157,159,162,166,169,170,175,176,183,187,193,196,204,209,215,220,227,230,239,243,246,255,265,269,281,289,303,315,324,337,355,362,372,385,399,410,422,442,459,469,478,495,507,527,546,560,573,590,600,614,630,642,660,678,695,715,733,751,774,788,808,825,838,858,874,897,916,933,959,973,992,1009,1040,1068,1098,1116,1138,1158,1173,1195,1221,1255,1283,1306,1338,1357,1380,1415,1440,1468,1495,1516,1545,1585,1606,1633,1666,1697,1743,1768,1789,1815,1832,1847,1875,1901,1924,1948,1979,2009,2027,2054,2080,2106,2131,2151,2171,2190,2210,2228,2243,2256,2281,2303,2323,2350,2380,2408,2428,2449,2469,2499,2529,2556,2592,2621,2646,2672,2697,2719,2745,2777,2801,2849,2876,2901,2934,2964,2993,3051,3082,3118,3154,3189,3258,3339,3397,3473,3530,3591,3687,3784,3878,3994,4102,4206,4312,4418,4531,4642,4740,4846,4951,5067,5183,5307,5414,5515,5633,5767,5918,6066,6245,6412,6596,6778,6967,7171,7380,7574,7789,8010,8220,8435,8649,8865,9108,9336,9557,9777,9998,10216,10429,10630,10827,11057,11273,11496,11732,11978,12234,12504,12755,13005,13248,13511,13745,13998,14267,14537,14820,15118,15455,15769,16126,16472,16823,17167,17587,17948,18322,18694,19074,19468,19816,20216,20589,20964,21361,21765,22218,22666,23076,23538,23991,24499,25005,25479,26053,26648,27238,27842,28505,29201,29883,30622,31381,32164,32986,33816,34662,35471,36327,37164,37993,38902,39773,40696,41597,42577,43555,44595,45709,46821,47979,49147,50411,51615,52829,54131,55453,56786,58203,59687,61160,62616,64151,65715,67373,69032,70665,72339,74018,75842,77679,79504,81363,83270,85223,87163,89219,91323,93546,95764,98017,100451,102825,105311,107831,110450,112997,115802,118554,121481,124460,127482,130498,133663,137022,140381,143850,147486,151037,154795,158587,162504,166368,170286,174417,178517,182659,186913,191153,195470,199761,204230,208762,213220,217670,222376,227159,232079,237006,241950,247122,252314,257574,263064,268677,274425,280180,286100,292175,298309,304678,311199,317783,324413,331302,338197,345223,352279,359747,367196,374785,382506,390262,398064,406122,414108,422115,430290,438588,447112,455575,464248,473030,481895,490819,499805,509160,518783,528299,537917,547558,557783,567806,577971,588366,598845,609701,620753,631721,642650,653969,665361,676809,688643,700497,712397,724599,736693,748908,761110,773634,786234,799006,811852,825006,838167,851573,864925,878334,891895,905762,919617,933830,948095,962338,976738,991156,1005823,1020813,1036060,1051550,1067069,1082891,1098784,1114656,1131084,1147599,1164345,1181304,1198196,1215274,1232482,1250012,1267385,1285083,1302710,1320714,1338814,1357203,1375836,1394185,1412779,1431654,1450847
1,1,1,1,2,7,7,9,10,10,13,13,14,17,20,27,30,33,40,44,53,58,60,62,71,73,79,84,90,96,109,120,131,149,165,183,190,201,220,230,239,256,275,291,311,328,348,365,377,397,413,425,443,464,475,497,509,523,536,547,558,581,592,607,622,633,645,662,674,683,696,709,714,723,740,749,758,769,783,799,816,829,852,865,884,901,916,935,951,967,995,1017,1036,1053,1083,1102,1124,1136,1154,1171,1198,1216,1234,1256,1272,1300,1326,1343,1363,1376,1393,1411,1433,1464,1487,1509,1524,1544,1570,1601,1622,1650,1672,1682,1696,1717,1748,1775,1798,1838,1870,1911,1944,1987,2027,2069,2118,2149,2197,2247,2293,2328,2369,2407,2445,2502,2540,2593,2643,2679,2723,2764,2799,2847,2889,2915,2972,3010,3038,3072,3112,3166,3221,3274,3343,3399,3458,3517,3577,3648,3714,3777,3850,3927,4002,4067,4126,4204,4279,4338,4420,4491,4546,4611,4675,4729,4778,4836,4903,4960,5017,5076,5130,5184,5250,5306,5372,5443,5506,5568,5628,5688,5751,5821,5885,5942,6003,6057,6118,6214,6291,6376,6478,6606,6730,6854,7002,7123,7245,7375,7513,7631,7758,7886,8019,8154,8267,8371,8486,8599,8739,8867,9012,9122,9256,9367,9491,9605,9730,9858,9973,10096,10252,10393,10544,10673,10807,10982,11131,11280,11444,11604,11763,11944,12128,12295,12448,12635,12830,12989,13194,13392,13590,13787,14019,14230,14487,14702,14956,15191,15444,15682,15959,16238,16505,16791,17064,17378,17676,17990,18324,18627,18966,19276,19634,19979,20334,20695,21064,21461,21848,22287,22699,23139,23585,24036,24512,25014,25514,26028,26538,27052,27577,28117,28682,29261,29835,30425,31040,31621,32180,32752,33375,34005,34634,35267,35913,36564,37209,37891,38620,39330,40057,40793,41602,42367,43128,43914,44700,45448,46292,47133,47975,48831,49715,50596,51506,52401,53268,54242,55250,56252,57231,58231,59242,60306,61379,62509,63646,64820,66021,67230,68488,69685,70996,72277,73542,74806,76168,77593,78989,80480,81929,83454,85031,86561,88140,89738,91356,93076,94811,96550,98278,100094,101897,103743,105621,107534,109516,111547,113699,115813,117982,120217,122499,124776,127107,129439,131900,134430,137025,139612,142259,144971,147533,150212,152999,155698,158509,161374,164212,167129,170042,173071,176038,179048,182195,185361,188577,191893,195314,198720,202289,205815,209453,213212,216982,220761,224606,228593,232451,236622,240627,244746,248966,253167,257473,261750,266273,270833,275416,280042,284795,289673,294566,299468,304570,309822,315307,320766,326263,331880,337670,343671,349826,356185,362826,369258,376041,382772,389780,396950,404168,411446,418837,426292,433914,441914,449893,458179,466339,474651,483326,491902,500632,509730,518907,528476,537935,547469,557305,567276,577367,587552,597906,608358,618980,629650,640601,651623,662879,674280,685726,697243,708977,720758,732715,745117,757562,770268,783238,796329,809604,823201,836651,850286,864108
1,1,1,1,1,1,2,2,2,4,5,6,8,11,12,13,15,16,16,16,16,16,17,18,19,21,22,25,26,27,27,27,27,27,28,28,28,28,28,30,32,33,36,38,42,43,44,44,47,47,53,57,60,64,67,73,79,88,90,100,109,116,121,132,145,151,160,172,181,190,204,216,222,225,234,244,259,264,272,280,294,306,311,322,336,347,357,363,375,388,394,402,415,422,426,432,441,451,462,469,485,499,511,523,533,542,556,565,575,581,593,612,625,636,645,656,666,677,692,703,715,731,738,750,763,773,785,795,812,835,850,864,886,901,916,940,958,969,983,1000,1012,1025,1045,1062,1088,1108,1132,1143,1157,1170,1188,1201,1224,1248,1269,1292,1299,1320,1344,1381,1409,1439,1465,1498,1521,1543,1571,1592,1632,1668,1715,1752,1788,1837,1897,1956,2020,2085,2150,2205,2273,2339,2410,2471,2545,2621,2692,2760,2823,2908,2974,3052,3134,3209,3276,3339,3398,3485,3562,3646,3710,3777,3851,3903,3980,4048,4115,4172,4240,4317,4384,4466,4531,4599,4679,4751,4841,4943,5031,5121,5206,5295,5390,5497,5596,5725,5831,5928,6038,6149,6269,6359,6493,6603,6721,6815,6917,7048,7178,7283,7407,7530,7634,7742,7878,7995,8141,8282,8447,8619,8799,8954,9092,9271,9462,9661,9848,10056,10251,10445,10656,10870,11089,11297,11521,11740,11962,12197,12454,12659,12905,13129,13362,13609,13879,14126,14369,14642,14878,15156,15428,15675,15973,16267,16563,16805,17066,17363,17637,17940,18214,18541,18899,19200,19573,19897,20229,20569,20925,21287,21646,21989,22385,22799,23193,23583,24005,24427,24824,25251,25708,26153,26644,27134,27631,28151,28622,29105,29595,30097,30638,31198,31802,32358,32922,33487,34043,34618,35240,35878,36510,37144,37856,38536,39170,39839,40565,41261,42035,42837,43657,44449,45227,46079,46923,47757,48622,49465,50357,51222,52178,53196,54202,55204,56226,57259,58266,59326,60366,61497,62604,63796,64908,66085,67259,68431,69668,70895,72101,73367,74658,75967,77244,78558,79855,81285,82700,84219,85620,87123,88579,90075,91636,93262,94882,96505,98223,99928,101706,103471,105217,107035,108827,110648,112456,114306,116205,118069,119994,121940,123975,126050,128128,130265,132491,134795,137164,139672,142148,144677,147223,149899,152545,155391,158241,161056,163981,166953,169877,172841,175964,178987,181964,185042,188256,191472,194666,197894,201186,204510,207783,211071,214517,218043,221599,225111,228731,232271,235880,239574,243418,247340,251267,255196,259278,263525,267736,271998,276375,280699,285216,289822,294425,299084,303859,308719,313793,318847,323907,329238,334650,340155,345732,351351,357048,362929,368899,374803,380898,387131,393196,399574,406026,412551,419363,426108,432981,439759,446773,453847,461020,468371,475774,483138,490629,498260,505900,513808,521684,529727,537820,546013,554365,563042,571786,580528,589466
1,1,1,1,2,3,3,4,4,5,7,8,8,9,9,9,10,10,10,12,14,15,17,21,24,26,28,32,35,41,44,58,67,81,89,102,116,130,168,242,319,398,487,603,710,855,985,1127,1273,1450,1603,1765,1950,2142,2312,2482,2646,2797,2956,3125,3265,3415,3561,3706,3852,4012,4201,4362,4528,4722,4902,5077,5264,5429,5612,5787,5965,6108,6262,6412,6583,6727,6877,7021,7153,7280,7404,7517,7652,7796,7928,8048,8185,8309,8428,8526,8637,8738,8866,8991,9111,9222,9338,9437,9543,9657,9786,9906,10015,10130,10244,10356,10455,10561,10662,10803,10924,11037,11171,11297,11416,11549,11669,11804,11912,12029,12155,12292,12415,12540,12696,12837,12982,13129,13299,13460,13624,13769,13926,14099,14257,14442,14623,14804,14996,15185,15356,15560,15804,16001,16198,16402,16602,16806,17021,17229,17497,17752,17982,18228,18481,18743,19022,19299,19601,19889,20203,20506,20860,21200,21537,21935,22325,22711,23117,23538,23991,24401,24835,25258,25732,26205,26716,27225,27698,28244,28756,29333,29914,30460,30993,31606,32251,32940,33601,34324,35099,35813,36583,37365,38169,38973,39831,40654,41513,42389,43260,44116,44997,45910,46827,47716,48650,49617,50628,51617,52593,53644,54667,55792,56883,58015,59140,60321,61558,62840,64190,65506,66831,68217,69598,71003,72440,73967,75454,77039,78704,80416,82085,83789,85528,87226,89022,90939,92745,94608,96533,98462,100384,102396,104407,106393,108496,110677,112811,114960,117220,119468,121855,124227,126677,129165,131775,134377,137017,139656,142396,145274,148119,151031,153909,156931,160000,163038,166205,169397,172618,175937,179209,182640,186048,189565,193115,196906,200636,204323,208153,212091,216165,220225,224275,228414,232636,236946,241206,245566,250041,254798,259496,264309,269337,274315,279331,284749,290164,295726,301518,307351,313341,319453,325745,332307,338820,345510,352287,359345,366406,373550,380852,388262,395796,403529,411304,419229,427271,435584,443891,452627,461411,470202,479203,488314,497606,507048,516556,526209,535828,545629,555669,565668,575601,585812,596392,606819,617431,628239,639226,650359,661641,672916,684521,696215,707925,719885,731807,744101,756461,769066,781554,794240,807173,820159,833526,846774,860065,873542,887253,901039,915033,929341,943424,957785,972419,987190,1001857,1016744,1031892,1046872,1062223,1077791,1093587,1109254,1124925,1140745,1156940,1173300,1189378,1205687,1222451,1239083,1255808,1272643,1289654,1306376,1323375,1340559,1358056,1375392,1393314,1411131,1428993,1447139,1465487,1483695,1502243,1520895,1539674,1558464,1577423,1596703,1615982,1635381,1654966,1674795,1694720,1714709,1734795,1754745,1774997,1795241,1815986,1836709,1857632,1878422,1899182,1920448,1941369,1962544,1983912,2005466,2026956,2048784,2070771,2092869,2114745,2136696,2158816,2181179,2203659,2226227,2248771,2271466,2294380,2317477,2340280,2363503,2386911,2410545,2434175,2458132,2482303,2506244,2530316,2554546,2578922,2603246,2627790,2652291,2676870,2701498,2726223,2751287,2775723,2800808,2825819,2851195,2876357,2901642,2927081,2952366,2977955,3003719,3029544,3055288,3081581,3107804,3134401,3161195,3187689,3214575,3241340,3268180,3295140,3322338,3349483,3376813,3404107,3431423,3458795,3486300,3513834,3541438,3569326,3597446,3625192,3653020,3681106
1,1,1,1,1,1,1,1,1,2,3,4,5,7,8,9,10,13,13,14,16,18,23,25,27,32,38,45,51,53,59,67,74,79,80,85,91,97,106,111,121,126,128,132,134,141,148,154,154,158,161,170,175,181,187,190,196,203,211,218,228,238,244,249,264,271,280,285,293,304,313,329,339,350,353,363,373,380,396,404,414,423,436,445,454,462,472,481,491,498,509,516,529,534,541,555,563,570,580,592,599,606,611,619,624,630,635,643,653,661,669,682,688,698,705,712,720,730,744,750,755,764,780,792,800,811,824,838,850,857,872,881,894,907,916,936,943,957,964,972,990,1000,1025,1041,1051,1072,1087,1102,1120,1141,1162,1179,1195,1223,1250,1275,1296,1329,1356,1381,1406,1430,1454,1474,1505,1531,1556,1595,1624,1656,1687,1727,1761,1795,1833,1859,1892,1930,1978,2013,2042,2088,2139,2190,2223,2265,2313,2358,2404,2480,2540,2593,2648,2713,2780,2851,2928,3014,3098,3157,3247,3364,3460,3568,3666,3771,3890,4015,4159,4328,4495,4703,4923,5157,5393,5680,5996,6321,6686,7034,7403,7752,8148,8511,8883,9242,9571,9939,10266,10615,10960,11302,11643,12014,12372,12722,13087,13482,13865,14340,14790,15274,15756,16290,16821,17362,17968,18570,19255,19873,20511,21161,21788,22450,23131,23726,24380,25050,25720,26372,27062,27760,28435,29081,29754,30480,31183,31921,32647,33370,34137,34896,35687,36518,37350,38158,39016,39895,40756,41584,42448,43352,44274,45217,46204,47160,48200,49200,50286,51321,52425,53546,54761,56095,57382,58703,60063,61518,63103,64639,66228,67874,69501,71217,72969,74749,76591,78385,80280,82206,84200,86156,88196,90216,92268,94368,96526,98725,100928,103274,105522,107872,110274,112691,115184,117785,120382,123075,125737,128425,131144,133899,136799,139718,142493,145438,148356,151307,154331,157408,160479,163598,166753,169992,173338,176725,180076,183631,187009,190706,194489,198228,202006,205897,209797,213845,218039,222304,226725,231194,235664,240237,244952,249813,254721,259639,264693,269796,275027,280431,285810,291297,296886,302657,308384,314286,320297,326262,332436,338716,345101,351548,358060,364549,371178,377989,385017,392230,399476,406846,414136,421730,429490,437391,445643,453688,462064,470466,478862,487383,496116,504661,513555,522506,531586,540573,549804,558987,568382,577972,587740,597596,607528,617769,628060,638287,648923,659544,670501,681405,692541,703694,714886,726177,737751,749250,761020,772849,784999,797215,809399,821824,834347,846986,860078,873362,886673,900100,913526,927114,940793,954922,969251,983594,998219,1013008,1027965,1042982,1058490,1074126,1089945,1106125,1122512,1138778,1155550,1172251,1189220,1206264,1223595,1241053,1258693,1276238,1294205,1312565,1331127,1349461,1368236,1386799,1405536,1424252,1443392,1462592,1482098,1502092,1521906,1542058,1562174,1582256,1602649,1623146,1643655,1664302,1685432,1706400,1727262,1748562,1769942,1791640,1813342,1835417,1857250,1879114,1901169,1923341,1945838,1968385,1991042
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1,1,2,2,3,4,4,4,6,6,7,9,9,9,9,11,13,13,14,16,17,19,23,25,27,35,36,39,46,49,54,58,62,67,72,75,81,85,90,94,99,103,108,114,117,117,124,126,127,134,135,138,145,146,149,154,160,170,172,180,186,190,194,199,204,209,215,218,228,232,236,243,251,260,266,273,280,285,289,292,296,309,314,322,329,338,340,348,358,362,374,388,395,396,409,421,431,439,446,454,459,472,485,499,506,519,533,543,555,568,580,592,606,615,627,635,650,666,680,688,697,710,723,735,741,753,763,770,781,792,801,805,813,828,836,846,855,862,869,878,886,887,896,904,915,923,930,934,953,963,967,981,988,1000,1023,1035,1055,1073,1093,1110,1136,1163,1178,1203,1223,1243,1268,1292,1314,1340,1381,1415,1443,1473,1504,1540,1577,1611,1651,1684,1727,1769,1811,1846,1900,1951,2005,2060,2118,2180,2228,2285,2329,2392,2465,2531,2595,2651,2714,2799,2850,2918,3001,3064,3135,3195,3283,3379,3468,3549,3652,3750,3840,3942,4040,4119,4217,4326,4441,4542,4647,4766,4899,5046,5178,5302,5451,5564,5704,5819,5948,6082,6218,6352,6491,6661,6796,6942,7097,7272,7429,7613,7796,7987,8152,8333,8544,8758,8967,9177,9422,9658,9901,10137,10364,10622,10903,11175,11470,11777,12048,12346,12642,12937,13238,13591,13933,14240,14549,14884,15221,15556,15953,16344,16773,17194,17617,18029,18452,18879,19294,19777,20266,20668,21126,21572,22034,22509,22984,23417,23918,24466,25005,25502,25982,26458,26922,27417,27936,28431,28939,29429,29948,30460,30997,31524,32113,32660,33178,33727,34291,34860,35422,35993,36573,37147,37789,38423,39062,39742,40409,41144,41847,42536,43287,44059,44787,45532,46337,47102,47903,48704,49601,50491,51325,52263,53244,54223,55258,56270,57354,58430,59534,60715,61865,63017,64175,65367,66582,67855,69062,70293,71564,72857,74128,75406,76728,78025,79336,80728,82053,83380,84847,86265,87779,89233,90782,92409,93986,95616,97307,99062,100817,102730,104554,106504,108397,110264,112234,114376,116489,118520,120637,122732,124945,127110,129394,131583,133935,136231,138602,141037,143528,146012,148669,151275,153847,156551,159239,162097,165010,167988,170891,173835,176791,179888,182940,186157,189295,192511,195816,199096,202349,205663,209058,212440,215808,219241,222750,226310,229896,233506,237102,240825,244506,248315,252184,256030,259887,263859,267854,272029,276045,280156,284428,288750,292990,297417,301811,306177,310723,315274,319866,324606,329667,334699,339830,344968,350252,355687,361128,366838,372441,378204,384119,390212,396285,402524,408887,415418,421997,428664,435373,442187,449302,456581,463806,471113,478380,485963,493618,501527,509369,517301,525326,533528,541806,550309,558839,567582,576368,585313,594383,603680,613063,622812,632450,642422,652264,662367,672522,683120,693525,704037,714743,725861,737007
1,1,1,1,2,2,5,5,5,5,6,7,10,11,12,14,17,19,20,21,22,25,27,30,31,31,32,35,40,42,44,45,48,49,51,54,57,65,68,73,78,80,83,86,87,89,95,98,102,105,111,121,128,135,140,148,161,170,175,181,187,190,194,196,204,212,214,221,226,230,232,235,242,244,247,252,257,261,275,281,286,293,301,306,312,316,326,333,341,348,355,367,376,396,406,418,426,438,445,456,469,484,496,509,516,528,541,551,569,581,595,607,617,628,642,646,656,662,668,677,688,696,705,714,727,744,750,763,770,785,795,803,807,813,823,836,845,852,864,876,884,900,914,925,943,955,970,994,1014,1026,1046,1064,1076,1099,1124,1144,1173,1194,1217,1237,1264,1291,1316,1337,1367,1394,1418,1440,1459,1480,1507,1531,1544,1569,1588,1608,1628,1645,1669,1695,1709,1734,1756,1769,1783,1804,1819,1834,1845,1865,1885,1903,1919,1939,1960,1977,1998,2029,2056,2079,2100,2126,2152,2180,2206,2236,2265,2289,2323,2351,2376,2404,2437,2472,2500,2543,2577,2622,2673,2716,2762,2824,2887,2951,3011,3090,3143,3226,3305,3379,3483,3586,3668,3750,3824,3913,4013,4123,4222,4309,4428,4551,4672,4803,4926,5061,5179,5309,5441,5572,5715,5883,6041,6202,6378,6528,6682,6840,6984,7136,7281,7425,7591,7745,7916,8083,8223,8402,8561,8697,8849,9002,9135,9288,9442,9608,9775,9954,10117,10304,10483,10653,10847,11029,11234,11442,11660,11863,12073,12308,12557,12811,13049,13312,13577,13840,14105,14386,14693,14998,15317,15630,15991,16338,16656,17006,17312,17637,17978,18337,18692,19044,19399,19784,20159,20498,20875,21297,21686,22105,22507,22934,23362,23830,24271,24745,25217,25743,26225,26748,27256,27762,28312,28836,29363,29925,30483,31076,31630,32204,32778,33419,33982,34586,35235,35897,36532,37256,37986,38714,39466,40194,40941,41788,42553,43353,44177,45033,45883,46713,47576,48426,49317,50234,51148,52061,52943,53844,54734,55661,56588,57569,58552,59514,60555,61499,62484,63427,64436,65453,66476,67560,68675,69823,70957,72080,73254,74412,75683,76968,78244,79523,80875,82191,83531,84914,86406,87847,89292,90776,92252,93778,95378,96935,98481,100103,101787,103407,105047,106802,108513,110309,112073,113901,115624,117461,119379,121239,123166,125171,127211,129174,131237,133343,135495,137705,139897,142156,144551,146968,149446,151847,154408,157029,159670,162461,165209,167976,170800,173664,176614,179629,182651,186013,189284,192537,195895,199454,203117,206874,210617,214462,218402,222417,226603,230969,235433,239790,244253,248761,253260,258004,262779,267685,272658,277881,283121,288454,293908,299408,305153,310925,316625,322355,328254,334274,340310,346418,352589,358906,365172,371599,378220,384827,391749,398678,405675,413060,420563,428085,435760,443644,451713,460084,468498,477100,485989
1,1,1,1,1,1,1,1,2,4,4,6,7,9,9,9,10,13,17,19,21,22,27,28,30,32,34,36,42,47,47,52,61,62,68,72,74,78,83,89,92,95,101,103,110,116,119,127,129,133,137,141,145,148,151,156,158,162,165,171,172,174,175,176,178,182,183,188,189,191,193,194,195,195,197,202,206,207,210,211,214,224,226,231,233,236,242,247,248,252,254,257,261,266,269,273,279,282,285,288,294,295,302,306,308,311,312,316,321,326,329,332,334,338,341,346,353,360,365,371,377,380,383,391,397,401,405,409,416,419,422,431,437,439,442,445,449,454,458,461,463,466,467,470,474,477,483,487,488,493,500,505,508,514,518,526,539,546,554,559,560,565,573,577,584,589,594,603,607,614,615,621,625,630,636,640,647,656,658,664,672,681,684,687,692,697,705,707,709,712,718,724,733,738,741,746,750,754,760,766,772,775,778,780,786,792,797,804,807,809,815,823,827,827,833,843,850,858,861,863,871,879,886,897,908,913,923,927,936,948,963,980,986,993,1003,1015,1031,1044,1055,1066,1079,1098,1111,1127,1139,1162,1179,1192,1204,1220,1236,1248,1275,1304,1323,1339,1359,1375,1389,1405,1427,1452,1479,1502,1519,1535,1551,1575,1598,1620,1640,1662,1682,1698,1723,1741,1773,1792,1813,1832,1855,1876,1898,1924,1940,1964,1999,2022,2045,2071,2101,2127,2163,2190,2218,2242,2273,2299,2331,2361,2389,2421,2462,2502,2537,2580,2620,2667,2699,2726,2765,2795,2837,2882,2926,2961,2999,3038,3072,3114,3145,3182,3224,3271,3309,3344,3381,3419,3455,3498,3538,3568,3590,3625,3658,3698,3732,3765,3806,3843,3880,3917,3964,4002,4046,4083,4115,4161,4216,4265,4309,4357,4408,4466,4512,4584,4642,4698,4763,4840,4917,4989,5067,5138,5212,5300,5382,5503,5583,5673,5761,5872,5998,6116,6239,6372,6534,6715,6880,7033,7190,7353,7534,7691,7847,7994,8148,8317,8499,8657,8808,8973,9129,9294,9449,9607,9788,9946,10139,10322,10494,10684,10902,11092,11304,11532,11755,11998,12260,12541,12829,13109,13410,13717,14045,14355,14678,14991,15288,15628,15956,16313,16690,17060,17473,17855,18238,18641,19027,19439,19839,20239,20668,21081,21531,21974,22435,22840,23289,23769,24285,24812,25299,25825,26343,26926,27490,28084,28712,29362,29984,30608,31305,31935,32600,33252,33968,34618,35351,36025,36770,37488,38264,39012,39701,40469,41289,42065,42855,43680,44500,45353,46231,47086,48021,48913,49872,50809,51769,52810,53809,54848,55989,57062,58230,59353,60455,61618,62772,63972,65190,66437,67681,69018,70231,71537,72807
1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,5,6,8,12,19,20,20,22,24,27,29,33,34,35,35,37,38,41,51,54,57,61,66,72,78,86,89,94,97,99,100,106,110,116,120,133,142,146,151,157,161,167,174,179,187,192,199,202,210,220,226,235,242,246,252,256,261,275,285,293,305,313,319,322,329,336,341,345,354,359,365,368,373,379,390,395,398,398,405,407,409,411,415,418,419,426,430,435,440,441,444,447,452,453,458,466,469,472,476,482,485,491,493,494,497,500,506,506,512,518,521,524,527,535,540,549,553,558,564,573,582,587,597,604,613,623,629,634,640,643,647,661,668,676,684,698,704,716,729,746,758,775,795,812,839,870,892,910,935,953,974,995,1014,1041,1064,1092,1113,1137,1159,1192,1222,1249,1279,1309,1333,1358,1393,1422,1458,1498,1535,1566,1607,1639,1689,1732,1775,1818,1871,1928,1976,2022,2076,2141,2203,2263,2319,2374,2440,2498,2568,2638,2718,2793,2870,2968,3054,3140,3220,3299,3392,3488,3596,3709,3820,3955,4072,4184,4323,4444,4583,4724,4839,4956,5079,5192,5310,5441,5581,5705,5835,5971,6112,6259,6398,6560,6695,6853,7009,7176,7362,7547,7748,7950,8166,8359,8577,8789,9010,9248,9492,9717,9995,10263,10537,10807,11090,11380,11684,12010,12304,12653,13014,13380,13783,14217,14636,15088,15576,16004,16491,17024,17554,18083,18662,19264,19863,20484,21150,21730,22364,23023,23656,24295,25006,25775,26500,27271,27978,28662,29423,30194,30949,31705,32524,33325,34199,35028,35873,36769,37652,38562,39490,40406,41392,42303,43310,44348,45354,46423,47539,48631,49753,50885,52062,53248,54426,55688,56947,58290,59608,60996,62471,63862,65264,66734,68238,69763,71303,72922,74506,76061,77648,79187,80763,82328,84047,85823,87539,89332,91216,93145,95061,96993,99004,101040,103102,105294,107425,109615,111853,114204,116596,118967,121398,123861,126499,129133,131891,134613,137319,140121,143051,146129,149180,152309,155448,158673,161895,165238,168643,172075,175399,178962,182497,186055,189719,193343,196940,200684,204466,208357,212310,216344,220441,224590,228880,233035,237412,241847,246145,250765,255272,259982,264609,269390,274154,278920,283822,288763,293863,299087,304183,309454,314788,320194,325731,331280,336874,342667,348310,354104,360104,366033,372259,378424,384724,391154,397765,404430,411496,418412,425620,432793,440072,447444,455023,462703,470652,478587,486550,494817,503151,511402,519886,528486,537222,545936,554895,563878,573077,582450,591914,601649,611339,621356,631383,641603,652033,662699,673687,684666,695684,706895,718297,730092,741776,753901,766181,778399,790801,803390,816160,829360,842432,855899,869539,883260,896790,910691,924864,939076,953216,967876,982424,997297,1012266,1027398,1042451,1057849,1073337,1088701,1104261,1119810,1135703,1151719,1167899,1184513,1201011,1217605,1234433,1251253
1,1,2,4,4,5,5,7,7,7,8,9,10,10,10,10,10,10,12,12,14,14,16,17,21,23,24,25,26,27,30,33,35,39,42,45,51,54,58,64,66,71,74,83,92,100,109,121,127,136,152,165,177,191,210,220,243,265,284,300,323,345,363,390,413,438,460,484,505,522,545,577,596,615,640,661,677,693,708,731,749,776,798,820,844,857,883,914,948,968,1001,1036,1075,1117,1154,1194,1251,1309,1352,1396,1447,1498,1544,1599,1647,1704,1757,1805,1862,1908,1960,2009,2067,2124,2184,2242,2310,2364,2434,2482,2534,2585,2646,2695,2759,2827,2889,2940,2995,3049,3099,3155,3210,3262,3331,3366,3428,3477,3533,3575,3633,3681,3741,3795,3857,3914,3969,4029,4105,4176,4238,4299,4368,4440,4495,4558,4631,4704,4763,4830,4901,4952,5029,5099,5153,5208,5270,5336,5407,5471,5534,5603,5654,5724,5787,5846,5916,5971,6029,6082,6127,6186,6237,6301,6347,6411,6465,6541,6611,6688,6751,6810,6866,6918,6980,7044,7134,7207,7277,7358,7435,7526,7617,7710,7787,7863,7947,8057,8143,8232,8329,8433,8524,8619,8688,8780,8872,8963,9046,9136,9246,9329,9412,9488,9596,9706,9810,9910,10030,10156,10267,10368,10469,10584,10685,10793,10913,11060,11178,11301,11432,11573,11700,11827,11952,12063,12192,12316,12450,12549,12671,12790,12914,13037,13172,13296,13417,13528,13650,13775,13882,14018,14143,14287,14409,14555,14682,14823,14985,15110,15240,15397,15543,15685,15838,16007,16172,16343,16534,16702,16874,17050,17224,17403,17591,17778,17971,18172,18354,18535,18747,18949,19144,19332,19542,19724,19954,20136,20347,20547,20769,20984,21211,21414,21612,21842,22038,22275,22509,22738,22982,23240,23476,23721,23996,24225,24461,24739,25010,25277,25568,25838,26116,26411,26718,27017,27353,27649,27975,28271,28557,28921,29294,29677,30026,30412,30802,31207,31633,32053,32462,32921,33368,33824,34302,34746,35235,35715,36241,36781,37281,37794,38269,38844,39408,39961,40523,41087,41633,42180,42791,43399,44011,44686,45362,46041,46737,47416,48174,48887,49624,50342,51087,51831,52573,53326,54086,54803,55621,56407,57205,58009,58787,59581,60379,61194,62087,62937,63783,64679,65603,66568,67517,68520,69590,70707,71725,72930,74088,75306,76489,77699,78912,80174,81463,82816,84131,85460,86878,88242,89636,91018,92477,93953,95466,96945,98477,100044,101588,103076,104737,106393,108093,109865,111579,113466,115469,117445,119432,121436,123577,125723,127910,130191,132526,134923,137279,139687,142187,144621,147090,149731,152364,154953,157606,160306,163078,165922,168789,171803,174802,177898,180996,184199,187519,190861,194152,197466,201107,204712,208264,211871,215435,219108,222778,226610,230653,234650,238682,242705,246812,250974,255295,259674,264078,268548,273189,277845,282580,287338,292187,297036,302049,307287,312375,317663,323076,328537,334053,339647,345307,350915,356783,362590,368506,374513,380511
1,1,1,1,4,7,9,9,10,11,15,18,19,25,29,31,34,36,39,47,53,56,58,60,63,68,73,82,90,95,97,103,105,113,118,126,133,139,145,147,154,157,158,162,168,170,176,179,181,184,187,190,193,194,194,196,199,201,204,209,212,213,215,218,222,224,227,229,229,231,231,232,236,236,237,242,248,254,259,263,263,265,269,272,275,278,283,290,294,298,308,310,314,320,326,335,342,349,354,360,364,368,373,378,384,391,403,414,421,425,431,438,444,450,452,469,478,484,493,506,513,521,529,543,552,563,572,579,594,607,620,631,640,651,665,672,684,695,707,715,728,737,750,761,773,782,798,814,826,834,848,859,869,882,894,912,926,945,962,980,991,1000,1013,1023,1048,1056,1066,1080,1095,1113,1127,1151,1163,1181,1205,1222,1240,1258,1276,1289,1312,1326,1343,1357,1373,1392,1408,1428,1452,1468,1490,1513,1531,1552,1570,1584,1599,1619,1642,1667,1679,1700,1719,1736,1763,1790,1803,1826,1844,1863,1885,1908,1926,1954,1976,2004,2023,2049,2079,2108,2132,2151,2176,2202,2239,2272,2305,2350,2386,2410,2457,2493,2524,2565,2616,2663,2696,2738,2781,2830,2861,2916,2966,3003,3055,3093,3147,3197,3239,3293,3358,3411,3468,3516,3572,3626,3678,3740,3797,3850,3909,3979,4046,4097,4157,4208,4281,4341,4399,4455,4525,4584,4655,4741,4826,4905,4968,5056,5132,5212,5288,5372,5437,5494,5559,5613,5687,5747,5814,5897,5974,6048,6119,6201,6295,6360,6429,6525,6617,6714,6809,6909,6999,7114,7221,7329,7442,7559,7658,7779,7885,8006,8140,8270,8414,8550,8670,8817,8954,9095,9230,9390,9534,9689,9854,10026,10183,10329,10487,10648,10804,10982,11186,11382,11560,11761,11942,12118,12309,12492,12699,12897,13108,13342,13565,13782,14002,14223,14469,14698,14953,15184,15443,15720,16008,16291,16593,16867,17162,17506,17822,18177,18516,18915,19275,19690,20071,20442,20845,21257,21639,22078,22482,22861,23282,23697,24098,24498,24874,25343,25756,26140,26604,27019,27462,27896,28329,28762,29202,29608,30055,30499,30988,31462,31914,32385,32898,33429,33953,34502,34994,35522,36067,36675,37256,37843,38402,39068,39686,40338,40930,41533,42170,42820,43471,44184,44907,45722,46491,47327,48201,49118,50028,50976,51942,52871,53750,54770,55728,56713,57726,58782,59813,60897,61973,63070,64186,65330,66453,67613,68756,70029,71286,72616,73947,75330,76737,78180,79570,81043,82486,84018,85535,87085,88675,90265,91914,93556,95148,96854,98551,100304,102120,103943,105791,107697,109654,111676,113704,115779,117841,119941,122197,124371,126580,128858,131164,133496,135775,138243,140609,142968,145347,147903,150432,153028,155662,158343,161066,163867,166699,169582,172383,175397,178396,181481,184546
1,1,1,1,1,1,2,2,3,5,6,8,8,9,11,12,14,17,18,18,21,24,27,30,34,38,41,50,50,52,55,61,62,69,70,73,75,80,85,88,95,100,104,108,110,112,115,117,123,127,132,136,139,144,145,148,152,155,155,157,160,163,167,170,172,173,181,182,182,189,191,192,193,194,195,196,196,200,202,203,204,204,204,204,205,205,205,207,207,209,209,209,210,211,214,214,216,218,218,218,218,221,223,225,228,231,236,238,243,246,248,253,258,260,262,264,266,268,271,273,280,286,287,291,292,293,293,296,302,305,310,314,317,321,324,324,327,333,333,340,344,344,346,350,354,357,361,367,374,377,381,384,388,391,396,401,407,412,416,421,423,427,437,438,442,444,449,451,456,459,466,472,480,485,490,497,504,509,515,527,540,548,557,565,570,577,589,596,602,611,623,640,660,669,682,689,700,712,728,751,774,789,814,832,853,878,895,941,972,999,1033,1075,1103,1146,1196,1236,1276,1312,1348,1395,1431,1468,1509,1546,1589,1637,1680,1737,1805,1853,1914,1972,2034,2092,2139,2192,2249,2320,2386,2462,2553,2630,2727,2819,2895,3007,3109,3214,3337,3446,3555,3673,3788,3895,4006,4115,4245,4348,4458,4573,4687,4794,4897,5001,5128,5253,5367,5497,5648,5785,5949,6133,6314,6521,6705,6901,7098,7327,7569,7787,8053,8330,8613,8931,9242,9535,9869,10190,10555,10960,11370,11780,12218,12688,13128,13547,13998,14460,14945,15425,15871,16324,16799,17249,17719,18183,18655,19176,19653,20141,20650,21159,21684,22236,22775,23299,23876,24450,25068,25699,26299,26930,27642,28339,29072,29781,30508,31243,31977,32754,33552,34395,35225,36112,36991,37877,38802,39670,40522,41475,42437,43375,44368,45369,46329,47272,48309,49320,50343,51329,52379,53457,54587,55656,56801,58001,59224,60492,61722,62975,64383,65849,67258,68699,70277,71886,73486,75158,76932,78749,80446,82283,84182,86145,88169,90182,92305,94342,96466,98690,100908,103188,105466,107759,110141,112444,114782,117209,119628,122142,124680,127246,129836,132383,135101,137721,140515,143327,146160,149068,152058,155149,158298,161596,164966,168391,171842,175356,179016,182702,186526,190523,194552,198612,202584,206772,211089,215492,219924,224626,229315,234134,238933,243852,248801,253845,259010,264140,269560,275087,280599,286177,292052,297854,303791,309938,316093,322300,328548,334790,341218,347704,354151,360781,367549,374320,381226,388156,395193,402261,409385,416494,423707,431041,438360,445658,453065,460817,468409,475998,483774,491583,499527,507644,516071,524536,533086,541752,550450,559451,568635,577828,587254,596844,606606,616316,626040,635859,645808,656122,666449,676712,687288,698068,709057,719842,730862,741887,753374,765038,776682,788386,800228,812327,824544,836929,849453
1,1,1,1,4,4,5,5,5,7,7,8,8,8,9,10,12,13,13,13,13,13,13,13,16,18,20,21,25,29,32,34,36,39,42,47,51,55,58,61,65,70,74,78,82,88,94,98,102,105,109,120,123,133,143,148,151,156,166,173,179,188,201,207,218,233,248,262,278,303,321,336,345,362,379,396,413,424,442,461,480,493,513,534,562,580,604,623,639,659,681,704,729,746,774,790,814,839,858,888,911,936,959,994,1019,1055,1075,1094,1126,1150,1192,1238,1271,1312,1344,1389,1424,1461,1487,1531,1574,1613,1650,1690,1740,1785,1838,1887,1945,2010,2070,2156,2224,2311,2396,2500,2600,2693,2792,2874,2968,3076,3165,3250,3354,3439,3522,3604,3689,3780,3864,3955,4059,4158,4257,4380,4511,4634,4786,4923,5061,5193,5366,5542,5704,5896,6069,6276,6439,6634,6827,7009,7206,7381,7560,7755,7944,8112,8287,8478,8642,8800,8957,9105,9264,9421,9571,9733,9887,10025,10174,10341,10510,10629,10785,10915,11077,11245,11395,11546,11701,11851,11999,12142,12318,12454,12644,12815,12995,13174,13360,13540,13716,13886,14047,14200,14377,14548,14729,14904,15058,15233,15402,15587,15752,15944,16108,16308,16485,16647,16832,17024,17216,17423,17604,17818,18014,18237,18478,18731,18987,19245,19490,19758,20047,20327,20623,20946,21273,21603,21957,22281,22660,23033,23378,23772,24203,24618,25043,25476,25932,26405,26854,27339,27810,28321,28822,29358,29865,30394,30935,31530,32125,32716,33266,33892,34561,35208,35831,36501,37191,37859,38655,39433,40219,41041,41803,42574,43410,44224,45091,45995,46855,47767,48606,49512,50446,51371,52356,53386,54456,55538,56633,57779,58885,59996,61195,62349,63562,64807,66106,67416,68778,70150,71557,73036,74544,76021,77562,79139,80796,82468,84148,85794,87549,89318,91148,93017,94900,96846,98815,100848,102973,105044,107222,109432,111630,113990,116314,118711,121211,123796,126524,129227,132048,134791,137488,140350,143326,146253,149113,152095,155002,158050,161197,164325,167459,170708,173936,177264,180638,184043,187280,190784,194132,197616,201334,204985,208736,212592,216432,220372,224322,228374,232343,236490,240627,244877,249125,253431,257760,262210,266844,271487,276278,281036,286114,291172,296242,301411,306680,312143,317792,323425,329264,335078,341191,347330,353496,359795,366242,372764,379370,386022,392906,400015,407110,414423,421700,429086,436657,444226,452096,459988,468072,476241,484337,492735,501334,509815,518439,527270,536002,544952,554189,563363,572543,581841,591394,601092,610810,620671,630569,640793,651100,661529,672122,682865,693553,704205,715267,726427,737582,749227,760896,772396,784275,796111,808253,820374,832562,845042,857592,870163,882619,895719,908804,921855,935291,948963,962825,976673,990795,1005141,1019820,1034702,1049454,1064438,1079778,1095360,1110928,1126791,1142712,1158812,1175069,1191416,1207773,1224209,1240851,1257692,1274635,1291576,1308795,1325884,1343460,1360908,1378655,1396470,1414510,1432729,1451153,1469773,1488455,1507044,1525877,1545176,1564456
1,1,1,1,1,1,3,3,4,5,6,9,12,15,17,19,25,28,33,38,41,44,52,56,60,71,77,81,85,89,97,106,113,117,122,124,131,139,141,148,151,160,167,176,187,193,197,207,213,223,232,240,247,255,261,270,281,290,295,303,310,321,330,342,356,360,369,382,392,403,412,425,432,442,449,460,469,480,496,511,518,525,538,553,569,582,602,606,616,625,649,663,673,690,705,723,734,751,770,787,812,831,846,864,874,895,914,934,959,978,1008,1026,1052,1078,1100,1121,1142,1172,1195,1215,1237,1257,1287,1324,1358,1392,1412,1444,1475,1506,1537,1568,1604,1631,1653,1687,1714,1737,1763,1793,1822,1848,1874,1909,1945,1980,2003,2032,2055,2097,2127,2168,2205,2242,2287,2317,2361,2413,2466,2528,2589,2648,2712,2761,2813,2885,2953,3030,3096,3181,3245,3318,3412,3500,3593,3663,3727,3803,3884,3951,4030,4105,4190,4258,4335,4408,4490,4611,4708,4791,4891,4992,5085,5173,5268,5370,5479,5582,5717,5826,5941,6065,6208,6338,6477,6619,6746,6885,7047,7191,7348,7527,7728,7882,8039,8212,8421,8606,8790,9007,9223,9416,9644,9865,10114,10346,10588,10824,11091,11355,11662,11949,12247,12544,12849,13186,13522,13880,14232,14612,15003,15411,15785,16195,16656,17083,17510,17919,18350,18822,19312,19852,20349,20899,21469,22081,22611,23217,23873,24489,25199,25857,26631,27384,28106,28895,29692,30548,31338,32164,32961,33890,34784,35657,36512,37423,38418,39397,40404,41469,42419,43503,44558,45682,46819,47945,49078,50298,51472,52676,53896,55177,56496,57777,59082,60437,61777,63124,64508,65910,67259,68721,70160,71677,73178,74715,76325,77895,79465,81036,82771,84531,86253,88079,89898,91805,93703,95652,97616,99621,101706,103769,105868,107986,110178,112382,114619,116928,119265,121676,124106,126549,129091,131678,134378,137085,139760,142557,145337,148085,151042,153932,157037,160060,163168,166294,169521,172765,176137,179405,182892,186421,189985,193607,197338,201103,204964,208910,212888,216915,220955,225177,229301,233646,237855,242212,246538,251192,255612,260262,265019,269905,274885,279859,284998,290179,295517,300839,306311,311936,317577,323517,329579,335596,341837,348120,354469,360745,367264,373922,380524,387448,394491,401592,408626,415864,423126,430651,438362,446287,454242,462269,470561,478843,487149,495779,504341,513157,522020,531023,540181,549519,558959,568633,578274,588227,598070,608210,618645,628996,639621,650507,661412,672535,683784,695207,706697,718553,730234,742423,754683,766963,779442,791933,804649,817595,830671,844054,857470,871100,884803,898789,912668,926943,941265,955785,970307,985107,1000146,1015297,1030311,1045550,1060650,1076226,1091797,1107540,1123543,1139519,1155875,1172015,1188141,1204613,1221028,1237734,1254692,1271610,1288788,1305903,1323354,1340848,1358538,1376651,1394722,1413178,1431331,1449891,1468511,1487443,1506553,1525863,1545435,1564878,1584907,1604499,1624466,1644595,1664914,1685043,1705185,1725859,1746382,1767115,1787837,1808569,1829581,1851262,1872747
1,1,2,2,2,3,6,9,11,11,11,13,18,18,19,21,22,22,24,28,33,34,35,36,39,40,41,45,47,50,54,61,64,64,68,73,75,82,84,86,90,94,98,103,108,108,112,114,116,122,127,132,137,139,141,145,149,158,164,169,176,184,187,193,198,201,204,211,220,229,238,249,261,279,286,295,307,317,331,339,351,365,377,394,411,426,439,455,471,484,497,513,529,545,554,572,580,589,603,619,636,643,650,660,678,691,700,716,729,739,755,770,783,791,803,816,829,845,867,879,893,905,919,935,956,967,984,1000,1017,1027,1040,1053,1063,1078,1086,1098,1113,1124,1136,1145,1155,1158,1165,1174,1180,1191,1198,1207,1213,1219,1228,1233,1244,1250,1255,1264,1272,1278,1285,1299,1304,1314,1318,1325,1329,1334,1341,1350,1359,1365,1374,1386,1399,1408,1421,1431,1435,1445,1454,1467,1479,1484,1491,1497,1506,1513,1528,1541,1548,1567,1588,1602,1616,1629,1645,1657,1666,1683,1692,1708,1726,1742,1754,1773,1788,1805,1823,1840,1855,1868,1887,1901,1923,1939,1959,1979,1996,2013,2037,2060,2079,2091,2112,2121,2137,2150,2173,2189,2206,2221,2238,2256,2268,2287,2300,2317,2329,2350,2361,2379,2400,2424,2439,2458,2474,2492,2505,2526,2551,2576,2601,2634,2659,2678,2701,2721,2748,2772,2801,2828,2868,2900,2929,2951,2977,3007,3031,3048,3073,3103,3137,3168,3201,3227,3244,3269,3301,3338,3376,3411,3435,3469,3514,3546,3571,3599,3626,3651,3691,3720,3735,3777,3810,3843,3877,3911,3942,3976,4022,4082,4129,4169,4205,4241,4277,4314,4356,4404,4446,4481,4517,4554,4592,4639,4664,4704,4741,4770,4801,4831,4867,4901,4947,4988,5036,5088,5130,5176,5236,5303,5364,5414,5469,5531,5601,5673,5752,5809,5881,5959,6035,6113,6194,6273,6342,6419,6505,6608,6696,6783,6864,6975,7076,7186,7296,7387,7524,7613,7727,7844,7943,8048,8149,8263,8363,8503,8623,8761,8897,9026,9144,9281,9425,9573,9717,9865,10023,10177,10343,10511,10665,10841,11018,11209,11375,11576,11779,11961,12155,12375,12580,12819,13046,13292,13524,13784,14017,14281,14553,14850,15115,15399,15692,15965,16304,16612,16923,17240,17583,17902,18202,18524,18823,19156,19453,19803,20119,20453,20777,21105,21431,21749,22082,22382,22723,23086,23433,23784,24158,24512,24905,25306,25713,26113,26559,27014,27464,27900,28379,28916,29430,29942,30468,31013,31631,32165,32786,33420,34021,34619,35322,36016,36728,37447,38246,38945,39725,40533,41371,42178,42995,43822,44757,45656,46635,47611,48604,49620,50596,51698,52825,54025,55177,56381,57560,58747,59992,61291,62644,64005,65410,66913,68434,69966,71486,73099,74671,76278,77945,79573,81246,82962,84708,86475,88295,90158,92008
1,1,1,1,1,1,2,3,3,5,6,6,6,6,6,6,6,6,6,6,9,12,12,13,15,17,19,21,22,22,23,25,26,28,30,34,39,41,41,45,47,55,58,63,71,78,82,88,94,97,102,108,121,133,143,152,157,162,175,182,197,208,224,249,279,311,335,368,391,421,459,502,553,611,681,752,823,874,928,998,1062,1139,1227,1297,1377,1446,1513,1567,1639,1723,1792,1870,1945,2016,2092,2157,2229,2303,2379,2458,2539,2611,2677,2746,2815,2891,2974,3053,3132,3218,3293,3379,3466,3566,3675,3765,3866,3971,4063,4159,4266,4382,4503,4607,4744,4872,5004,5140,5270,5415,5535,5655,5775,5935,6083,6194,6328,6456,6592,6743,6888,7060,7216,7380,7545,7714,7884,8054,8218,8406,8620,8805,8997,9184,9385,9557,9800,10059,10285,10518,10755,10988,11211,11431,11662,11928,12173,12445,12694,12947,13220,13479,13786,14078,14370,14697,15017,15356,15680,16056,16388,16751,17127,17496,17878,18293,18643,19033,19451,19867,20284,20668,21089,21535,21951,22379,22813,23264,23709,24160,24643,25062,25522,26027,26520,27041,27614,28200,28790,29377,29996,30605,31215,31852,32483,33082,33726,34372,35023,35650,36294,36946,37617,38294,38954,39633,40301,40989,41718,42391,43006,43726,44463,45241,45978,46731,47549,48388,49223,50081,51012,51946,52912,53867,54824,55857,56848,57907,58920,59946,61038,62127,63128,64194,65290,66395,67486,68559,69725,70923,72125,73358,74545,75757,77044,78463,79779,81163,82570,84059,85551,87130,88726,90278,91874,93535,95204,96769,98477,100172,101870,103616,105372,107028,108822,110608,112331,114190,116106,117966,119856,121896,123883,125854,127947,130017,132109,134288,136476,138734,140925,143273,145581,147992,150544,153080,155668,158270,160895,163694,166456,169331,172256,175175,178189,181324,184434,187654,191072,194524,197993,201674,205419,209210,212978,216776,220547,224517,228401,232480,236657,240982,245287,249522,253927,258415,263018,267661,272331,277150,282029,287186,292280,297555,302881,308434,313919,319673,325522,331496,337607,343718,350066,356485,363074,369602,376393,383385,390371,397639,405031,412656,420296,428243,436301,444416,452710,460900,469271,477842,486640,495497,504588,513731,523009,532368,542010,551713,561684,571413,581702,591870,602400,612721,623319,634129,644966,656116,667487,678949,690536,702217,713970,726040,737988,750254,762561,774920,787574,800271,813050,826178,839359,852604,866006,879525,892827,906525,920417,934514,948406,962675,976858,991055,1005744,1020078,1034849,1049704,1064706,1080025,1095549,1110797,1126541,1142104,1157996,1174063,1190123,1206404,1222937,1239549,1256585,1273766,1291048,1308330,1325682,1343386,1361172,1379171,1397411,1415744,1434177,1452623,1471347,1490256,1509177,1528243,1547296,1566359,1585623,1605010,1624708,1644343,1664170,1683992,1704074,1723858,1744191,1764521,1784892,1805676,1826427,1847417,1868296,1889611,1911134,1932862,1954508,1976186,1998099,2020207,2042218,2064574,2087244,2110037,2132674,2155717,2178780,2202003,2225285,2248672,2271943,2295501,2319108,2343017,2366517,2390279,2413994,2438195,2462342,2486554,2510890,2535275,2559239,2583848,2608021,2632322,2656833
1,1,1,1,1,2,3,3,3,4,6,6,7,8,9,11,12,12,13,14,19,19,19,19,21,21,21,24,26,30,33,36,38,41,45,49,52,55,56,58,69,73,80,86,92,95,102,116,121,127,132,140,147,153,156,165,170,178,184,193,199,205,216,222,227,232,237,243,248,250,255,258,262,268,273,281,289,292,301,308,320,328,331,340,346,351,355,358,361,364,373,379,384,396,399,405,419,429,435,444,449,458,466,472,483,490,494,501,512,527,537,548,556,565,576,588,596,604,611,620,629,641,648,657,663,670,686,693,703,707,715,725,733,736,745,754,762,767,771,779,782,791,800,805,812,818,819,832,841,852,859,870,885,896,911,926,933,950,959,973,992,1013,1023,1035,1051,1064,1086,1101,1130,1149,1174,1195,1225,1252,1278,1297,1316,1342,1370,1402,1431,1454,1490,1517,1553,1589,1643,1674,1711,1762,1804,1849,1894,1932,1976,2034,2085,2119,2172,2223,2270,2316,2383,2447,2517,2567,2643,2700,2758,2831,2899,2978,3044,3131,3207,3304,3418,3535,3649,3749,3876,3986,4115,4246,4393,4516,4649,4791,4945,5072,5221,5375,5512,5672,5808,5981,6155,6311,6459,6636,6785,6934,7066,7215,7379,7545,7737,7923,8109,8308,8502,8734,8922,9159,9361,9618,9878,10136,10397,10686,10950,11253,11565,11887,12221,12585,12963,13343,13709,14145,14597,15030,15482,16013,16486,17005,17553,18102,18712,19328,19966,20570,21245,21859,22473,23101,23712,24412,25135,25856,26624,27399,28174,28995,29798,30722,31671,32621,33552,34469,35428,36450,37443,38473,39517,40598,41637,42678,43765,44847,45980,47144,48325,49489,50675,51839,53085,54384,55735,57126,58619,60080,61536,63164,64825,66490,68111,69882,71629,73515,75406,77363,79452,81404,83514,85599,87802,89971,92288,94701,97089,99588,102045,104660,107249,109870,112575,115378,118240,121133,124013,126957,129884,132962,135989,139018,142044,145209,148361,151589,154932,158385,161902,165415,168838,172397,175977,179698,183470,187342,191149,195152,199187,203332,207594,211829,216079,220441,224959,229625,234378,239132,243923,248860,253909,258961,264205,269259,274538,279883,285245,290807,296514,302240,308024,313923,319914,326039,332046,338375,344714,351097,357537,363830,370568,377151,383785,390525,397337,404357,411434,418405,425677,433090,440553,448092,455693,463325,471086,479024,487156,495148,503293,511923,520171,528660,537411,546038,554782,563816,572743,581758,591089,600735,610409,620273,630212,640428,650731,661418,671962,682839,693498,704287,715363,726485,737806,749051,760490,772212,783962,795935,808050,820221,832614,844989,857665,870195,882882,896150,909466,923157,936815,950775,964741,979005,993274,1007723,1022322,1037107,1051787,1066783,1081878,1097153,1112392,1127767,1143422,1159216,1175105,1191274,1207409,1223537,1239723,1255951,1272498,1289132,1305842,1322852,1339777,1356838,1374028,1391437,1408717,1426496,1444288,1461968,1479966
1,1,1,1,1,3,4,4,6,7,7,10,13,15,17,18,19,21,24,27,30,30,32,37,44,45,49,55,58,66,73,77,82,85,90,97,103,114,120,127,128,131,138,144,154,161,172,178,189,200,207,213,221,232,244,250,259,269,276,285,295,308,314,324,333,346,358,371,386,401,414,427,440,450,464,475,483,497,514,524,540,553,566,584,598,615,633,647,660,671,686,702,714,725,745,753,771,792,810,832,848,867,887,903,925,950,970,991,1013,1027,1051,1077,1107,1134,1161,1184,1214,1248,1273,1296,1326,1352,1381,1405,1436,1479,1515,1555,1586,1629,1668,1709,1753,1811,1875,1962,2053,2146,2224,2308,2396,2487,2609,2707,2824,2932,3034,3123,3213,3301,3393,3486,3582,3660,3747,3832,3919,3998,4085,4171,4264,4351,4448,4560,4657,4751,4860,4957,5071,5166,5272,5360,5471,5595,5733,5889,6045,6189,6324,6445,6610,6796,6967,7152,7318,7471,7645,7825,7999,8161,8333,8520,8714,8902,9065,9241,9442,9639,9835,10045,10253,10442,10676,10869,11091,11316,11540,11756,11982,12218,12490,12720,12962,13193,13471,13764,14030,14324,14620,14930,15240,15533,15854,16152,16478,16813,17178,17527,17866,18212,18590,19007,19399,19794,20242,20685,21122,21604,22110,22591,23093,23617,24178,24727,25337,25944,26577,27205,27837,28515,29232,29929,30697,31428,32171,32946,33715,34484,35312,36102,36889,37706,38531,39410,40246,41184,42085,42975,43956,44946,45913,46989,47992,49045,50161,51226,52397,53556,54745,55938,57187,58429,59670,60992,62323,63746,65152,66601,68053,69525,70978,72447,74024,75605,77266,78810,80550,82363,84234,86103,87995,89950,91944,93987,95991,98141,100320,102557,104847,107128,109407,111825,114292,116638,119171,121818,124565,127334,130142,133042,136001,138967,141992,145158,148242,151536,154782,158201,161645,165159,168608,172122,175676,179429,183155,186963,190718,194581,198537,202579,206673,211014,215502,219864,224397,228892,233509,238187,242779,247469,252247,257104,262074,267191,272227,277517,282944,288340,293795,299385,305115,310951,316872,322951,328980,335242,341482,347747,354348,360932,367628,374372,381344,388581,395623,403024,410584,418352,426102,434037,442075,450163,458358,466679,475097,483856,492570,501562,510372,519591,528443,537639,546928,556288,565829,575657,585314,595247,605363,615424,625781,636253,647131,657824,669036,680127,691151,702455,713805,725333,736915,748706,760750,772750,785014,797281,809408,822061,834642,847456,860260,873336,886634,899935,913336,926951,940782,954734,968633,982806,997181,1011700,1026359,1041032,1055984,1071033,1086372,1101747,1117109,1132573,1148186,1163987,1179951,1195852,1211978,1228362,1244808,1261110,1277700,1294749,1311276,1328375,1345733,1363008,1380441,1397938,1415306,1433099,1451070,1469268,1487440,1505869,1524265,1542751,1561402,1580190,1599253,1618537,1637810,1657608,1677092,1696873,1717002,1737018,1757255,1777758,1798309,1819321,1840340,1861306,1882663,1904242,1926050,1948257,1970324,1992684,2015072,2037677,2060243,2083123,2106451,2129577,2152810,2176569,2200087,2223671,2247456
1,1,2,2,4,7,9,10,11,13,13,13,15,18,20,23,25,28,29,29,31,32,33,39,40,48,48,52,56,58,59,64,66,74,79,84,90,92,96,98,101,106,109,114,118,121,128,130,132,136,140,142,147,149,151,152,153,157,159,163,164,165,168,170,176,181,181,181,182,184,187,189,193,195,197,202,204,210,213,217,222,225,228,232,237,239,245,251,257,260,267,272,281,286,293,299,300,306,309,316,320,325,333,338,346,353,365,368,375,383,391,393,394,403,407,412,419,426,436,441,444,448,452,454,454,457,463,468,470,476,477,487,491,501,510,519,528,545,558,573,596,632,663,725,776,826,876,933,996,1053,1102,1165,1221,1287,1347,1407,1464,1523,1568,1639,1685,1734,1784,1834,1882,1926,1968,2021,2075,2121,2181,2233,2285,2350,2425,2503,2569,2669,2765,2882,2982,3108,3221,3353,3519,3668,3825,3987,4176,4338,4535,4734,4902,5082,5265,5476,5680,5895,6127,6364,6580,6797,7044,7263,7526,7768,7999,8243,8485,8729,8974,9217,9499,9753,9993,10269,10507,10792,11051,11327,11600,11889,12186,12501,12811,13151,13461,13786,14102,14433,14742,15080,15412,15742,16119,16490,16866,17239,17583,17978,18382,18754,19132,19549,19961,20409,20846,21355,21828,22282,22757,23240,23792,24309,24927,25506,26059,26663,27250,27846,28447,29067,29719,30347,30969,31632,32305,32962,33667,34390,35122,35881,36656,37424,38165,38928,39719,40514,41380,42195,43070,43889,44731,45569,46426,47305,48177,49048,49925,50920,51790,52738,53777,54800,55866,56942,58068,59160,60248,61395,62579,63795,64997,66203,67430,68718,69971,71261,72562,73865,75219,76632,78013,79419,80830,82271,83789,85335,86956,88546,90157,91774,93402,95096,96762,98465,100270,102113,103935,105766,107648,109537,111481,113444,115454,117446,119541,121715,123909,126055,128310,130620,133049,135438,137913,140500,143089,145780,148360,151104,153889,156711,159604,162487,165555,168536,171626,174830,178142,181510,184962,188363,191889,195375,199002,202662,206319,210119,213935,217806,221755,225837,229884,234010,238318,242644,247072,251653,256265,260828,265726,270662,275675,280738,285795,291017,296532,301925,307473,313193,318799,324468,330223,336212,342102,348128,354138,360436,366658,373083,379669,386284,393193,400256,407404,414558,421897,429189,436848,444501,452457,460560,468762,477189,485508,493872,502399,510990,519755,528682,537680,546651,555718,564896,574394,583985,593518,603262,613124,623206,633389,643399,653824,664185,674830,685493,696452,707305,718277,729530,741041,752576,764175,775727,787716,799786,812178,824527,837087,849860,862775,875816,888826,902214,915649,929439,943295,957318,971508,986110,1000796,1015525,1030337,1045534,1060777,1076169,1091456,1107037,1122453,1138135,1153909,1169912,1186094,1202398,1218746,1235290,1251927,1268732,1285742,1303092,1320650,1338209,1355978,1374035,1391960,1409968,1428488,1447182,1465981,1485174,1504637,1524076,1543666,1563513,1583593,1603720,1623731
1,1,3,3,3,4,7,9,12,12,12,14,17,22,27,32,34,35,38,39,43,51,52,60,66,74,80,84,87,94,102,109,112,119,130,138,146,154,165,177,184,192,198,204,212,221,234,250,265,278,289,303,317,328,346,364,376,389,402,419,441,458,471,492,517,543,566,583,616,639,665,686,710,736,771,801,836,865,887,921,955,986,1012,1055,1083,1108,1140,1176,1215,1254,1287,1325,1359,1392,1437,1472,1519,1554,1600,1633,1674,1707,1748,1790,1827,1874,1905,1938,1987,2028,2068,2099,2134,2168,2198,2223,2262,2297,2328,2357,2387,2420,2459,2496,2528,2557,2581,2612,2645,2679,2713,2748,2782,2821,2860,2897,2941,2973,3013,3054,3094,3135,3175,3217,3256,3299,3336,3387,3444,3492,3545,3590,3642,3686,3721,3771,3820,3870,3920,3969,4013,4053,4113,4164,4239,4299,4360,4425,4486,4554,4615,4672,4763,4842,4922,5008,5097,5184,5266,5352,5455,5561,5680,5787,5917,6046,6195,6325,6446,6603,6721,6850,7000,7141,7308,7465,7646,7829,7989,8205,8391,8616,8854,9066,9287,9528,9765,10027,10310,10593,10897,11178,11500,11851,12170,12487,12852,13214,13553,13903,14271,14655,15031,15415,15785,16216,16595,17016,17391,17815,18232,18647,19090,19551,19993,20428,20893,21316,21784,22253,22772,23217,23724,24246,24786,25316,25828,26364,26909,27434,27943,28523,29080,29641,30198,30795,31409,32051,32708,33311,33938,34602,35248,35888,36557,37254,37970,38644,39366,40114,40862,41616,42378,43159,43988,44836,45721,46574,47487,48346,49330,50269,51225,52290,53315,54412,55524,56628,57698,58823,59969,61204,62421,63643,64825,66027,67234,68537,69793,71129,72451,73883,75340,76839,78330,79835,81288,82824,84435,86075,87740,89384,91171,92887,94756,96577,98450,100366,102254,104222,106263,108342,110572,112803,115096,117473,119934,122393,124994,127665,130440,132985,135739,138557,141479,144388,147407,150369,153477,156602,159708,162866,166054,169350,172634,175935,179430,182870,186378,189996,193629,197355,201184,205139,209044,213056,217189,221400,225513,229715,233970,238422,242683,247092,251556,256176,260777,265476,270286,275201,280056,284890,289952,295060,300407,305821,311202,316600,322166,327697,333541,339421,345365,351492,357689,363892,370285,376561,382862,389279,396000,402749,409757,416764,423894,430986,438404,445871,453435,461040,468788,476610,484498,492438,500489,508911,517005,525455,533863,542609,551249,560137,568914,577784,586765,595972,605216,614651,624262,633791,643585,653577,663713,674053,684673,695358,706197,716914,727979,739135,750462,762243,773969,785783,797833,809960,822156,834385,846623,859279,872236,885037,898129,911589,924928,938458,952253,966196,980203,994663,1009161,1023822,1038448,1053267,1068303,1083360,1098576,1114252,1129610,1145421,1161679,1177843,1194292,1210844,1227484,1244315,1261124,1277987,1295129,1312573,1330257,1347883,1365786,1383500,1401612,1419823,1438208,1456611,1475485,1494215,1513187,1532426,1551358,1570731,1590167,1609570,1629413,1649361,1669294,1689250,1709574,1730034,1750598,1771417,1792252,1813103,1834284
1,1,3,3,4,7,8,12,14,15,18,21,21,25,29,32,39,43,47,49,50,53,57,66,78,87,92,98,103,105,112,121,131,141,152,159,174,183,199,207,217,226,238,252,268,286,296,306,322,343,362,389,417,442,465,506,541,584,641,690,730,792,839,883,936,975,1024,1072,1118,1162,1205,1245,1308,1359,1408,1451,1503,1554,1594,1634,1667,1712,1746,1796,1838,1861,1884,1915,1946,1975,2008,2036,2068,2097,2123,2140,2158,2187,2218,2248,2273,2295,2311,2328,2347,2386,2421,2447,2468,2489,2515,2540,2566,2590,2616,2635,2655,2682,2705,2737,2762,2788,2825,2853,2873,2893,2917,2940,2959,2988,3017,3041,3068,3111,3133,3160,3191,3214,3242,3278,3302,3330,3371,3402,3443,3482,3523,3553,3591,3627,3660,3686,3721,3751,3783,3832,3870,3913,3963,4000,4032,4067,4098,4139,4182,4224,4256,4292,4342,4385,4426,4472,4526,4577,4607,4654,4685,4727,4771,4815,4872,4918,4967,5015,5055,5103,5143,5184,5229,5265,5310,5344,5386,5442,5478,5522,5562,5601,5643,5693,5737,5786,5831,5885,5934,5975,6019,6077,6123,6184,6228,6271,6315,6367,6423,6482,6539,6599,6651,6733,6800,6863,6923,6976,7045,7105,7174,7244,7308,7389,7469,7543,7603,7673,7756,7832,7903,7992,8069,8136,8213,8305,8381,8474,8577,8653,8746,8840,8939,9056,9159,9250,9366,9478,9592,9708,9835,9952,10097,10266,10405,10568,10750,10921,11112,11317,11539,11771,12007,12256,12536,12812,13066,13315,13578,13849,14142,14406,14663,14965,15251,15548,15811,16110,16395,16692,16981,17298,17612,17913,18209,18564,18904,19231,19598,19958,20353,20739,21126,21537,21964,22381,22778,23197,23624,24061,24503,24924,25400,25925,26425,26958,27479,27996,28519,29052,29676,30271,30916,31575,32218,32869,33544,34280,34999,35729,36445,37194,37971,38702,39510,40291,41094,41856,42649,43429,44238,45030,45871,46737,47567,48387,49213,50064,50944,51813,52648,53571,54499,55459,56423,57402,58416,59426,60539,61599,62671,63715,64848,66043,67246,68366,69615,70848,72105,73443,74755,76118,77405,78805,80192,81589,83129,84574,86039,87576,89086,90665,92278,93944,95512,97172,98892,100608,102371,104199,106026,107941,109806,111760,113688,115699,117722,119823,121926,124030,126138,128358,130548,132883,135274,137609,140205,142660,145233,147857,150627,153469,156373,159298,162374,165452,168531,171776,175170,178566,182074,185526,189141,192852,196697,200741,204854,208984,213290,217628,222110,226754,231547,236337,241369,246537,251893,257234,262763,268371,274166,279911,285816,291823,297964,304094,310244,316486,322858,329128,335641,342017,348630,355313,362276,369133,376135,383060,390066,397368,404828,412236,419832,427506,435235,443413,451394,459322,467422,475770,484282,492910,501629,510446,519494,528683,537858,547202,556629,566062,575694,585588,595673,605877,616235,626453,637050,647757,658365,669296,680229,691288,702483,713904,725164,736591,748083,759904,771693,783437,795462
1,1,1,1,2,2,2,3,6,7,7,7,7,8,9,10,12,14,15,16,18,19,21,22,22,22,25,30,34,37,42,46,46,47,49,49,54,58,63,69,72,78,83,88,98,104,112,116,124,129,132,142,146,153,164,176,181,186,195,202,206,210,214,223,232,242,253,267,275,292,297,315,323,331,340,352,362,374,384,394,408,424,440,460,478,502,517,528,538,558,567,575,586,595,618,631,647,669,685,705,725,736,754,776,797,818,833,853,872,893,910,926,941,963,990,1016,1038,1068,1096,1120,1145,1176,1204,1232,1259,1287,1318,1342,1376,1407,1431,1459,1489,1530,1554,1579,1601,1628,1658,1691,1720,1748,1774,1794,1826,1852,1886,1918,1941,1966,1984,2009,2027,2057,2076,2107,2129,2159,2190,2206,2235,2259,2282,2304,2321,2348,2375,2395,2422,2448,2474,2499,2520,2534,2563,2590,2615,2646,2672,2696,2722,2751,2777,2806,2832,2867,2892,2921,2953,2980,3017,3055,3092,3133,3174,3197,3240,3285,3339,3386,3425,3468,3507,3557,3601,3639,3691,3723,3785,3835,3886,3932,3988,4035,4085,4135,4195,4243,4300,4352,4416,4472,4525,4577,4630,4682,4732,4781,4840,4889,4965,5017,5071,5136,5184,5244,5294,5357,5413,5469,5521,5578,5636,5698,5788,5857,5939,6021,6097,6162,6230,6316,6380,6463,6542,6627,6721,6803,6888,6970,7060,7144,7253,7351,7460,7567,7655,7752,7853,7960,8058,8173,8304,8429,8538,8676,8816,8926,9021,9134,9252,9377,9524,9661,9795,9915,10038,10183,10329,10452,10597,10736,10905,11029,11176,11344,11499,11654,11816,11969,12128,12293,12478,12635,12810,13000,13176,13386,13599,13827,14047,14278,14469,14679,14920,15137,15382,15637,15896,16149,16428,16716,17023,17336,17696,18054,18430,18854,19260,19711,20153,20627,21105,21531,21962,22389,22840,23298,23774,24251,24741,25226,25684,26214,26756,27302,27847,28379,28975,29630,30277,30945,31605,32269,32976,33696,34446,35139,35902,36634,37387,38116,38903,39677,40455,41230,42007,42795,43596,44423,45283,46182,47064,47913,48814,49708,50525,51453,52358,53256,54180,55083,56015,56957,57892,58831,59847,60887,61882,62966,64041,65133,66237,67373,68614,69825,71035,72350,73638,74903,76258,77652,79040,80452,81912,83416,84843,86382,87952,89486,91090,92705,94302,95933,97605,99308,100995,102726,104526,106337,108189,110103,112003,113915,115893,117914,119930,121964,124108,126229,128370,130440,132613,134894,137226,139563,141863,144305,146830,149347,151810,154474,157193,159943,162697,165528,168414,171414,174509,177510,180642,183814,187003,190353,193706,197160,200651,204163,207737,211359,215079,218885,222660,226622,230669,234597,238474,242573,246704,250994,255368,259839,264490,269076,273797,278454,283342,288373,293403,298592,303867,309325,314841,320500,326323,331946,337784,343686,349601,355728,361838,368034,374458,380901,387488,394168,400935
1,1,1,1,1,2,3,5,6,6,7,7,11,11,12,13,16,19,23,24,28,32,34,39,46,51,59,62,68,71,73,80,86,97,102,110,111,121,128,132,143,148,152,158,165,167,175,185,188,197,200,204,209,215,224,230,238,247,252,255,259,263,274,280,285,296,307,314,320,324,328,338,346,356,364,372,377,383,393,403,409,417,428,439,447,456,462,471,483,492,499,510,521,529,536,547,561,568,584,600,607,622,627,632,644,658,673,685,693,707,724,737,749,762,771,781,794,807,813,824,829,839,855,865,871,882,896,911,920,928,939,949,959,967,972,982,992,1001,1010,1024,1031,1043,1052,1068,1083,1096,1108,1127,1150,1167,1184,1197,1216,1230,1252,1263,1277,1301,1320,1341,1365,1375,1394,1410,1437,1451,1471,1491,1509,1526,1538,1551,1570,1592,1623,1647,1679,1708,1733,1756,1780,1811,1841,1869,1898,1925,1956,1981,2017,2046,2072,2101,2133,2161,2203,2240,2287,2311,2360,2389,2408,2442,2473,2509,2556,2594,2630,2660,2699,2740,2765,2806,2846,2879,2918,2949,2994,3024,3059,3098,3124,3160,3191,3223,3270,3307,3353,3403,3443,3499,3532,3568,3618,3651,3684,3718,3745,3794,3841,3885,3926,3979,4023,4064,4107,4150,4198,4241,4301,4352,4402,4452,4498,4557,4619,4684,4754,4850,4922,5014,5109,5221,5338,5463,5573,5697,5815,5937,6082,6224,6352,6482,6607,6743,6882,7055,7260,7435,7630,7844,8074,8288,8486,8712,8944,9151,9386,9656,9893,10099,10327,10571,10814,11068,11301,11506,11716,11946,12188,12405,12625,12843,13044,13275,13491,13679,13858,14084,14301,14487,14735,14935,15133,15336,15524,15754,15941,16130,16335,16527,16732,16934,17130,17307,17515,17738,17932,18159,18375,18576,18800,19015,19255,19510,19767,20022,20318,20614,20910,21190,21487,21751,22056,22348,22641,22946,23252,23582,23892,24179,24492,24786,25102,25393,25697,26032,26347,26661,26962,27282,27609,27928,28266,28574,28914,29260,29615,29959,30346,30698,31069,31442,31847,32250,32692,33138,33630,34125,34622,35124,35665,36206,36696,37242,37783,38341,38882,39456,40009,40607,41211,41818,42432,43049,43700,44359,45065,45847,46647,47436,48307,49194,50067,50995,51981,52914,53925,54896,55919,56939,57980,59024,60114,61220,62346,63529,64654,65888,67085,68333,69641,70938,72249,73545,74840,76167,77545,78921,80318,81723,83181,84593,86081,87459,88951,90401,91922,93433,95034,96636,98256,99895,101607,103521,105426,107381,109338,111379,113473,115582,117766,119938,122219,124541,126966,129323,131786,134344,136900,139462,142249,144908,147578,150353,153181,155974,158824,161725,164605,167618,170611,173506,176479,179452,182491,185546,188735,191788,194922,198058,201266,204563,207915,211363,214747,218275,221876,225585,229244,232971,236615,240499,244441,248399,252452,256638,260872
1,1,3,3,4,4,8,10,11,12,12,14,16,20,22,24,25,28,28,31,31,33,33,34,36,40,42,43,45,47,47,47,47,47,50,52,55,56,57,58,58,60,60,61,64,64,65,66,66,66,67,68,69,70,70,70,71,71,71,77,80,83,85,88,95,97,99,104,113,127,132,139,155,173,182,208,224,246,267,290,314,337,362,392,416,449,472,511,545,582,633,675,725,769,819,870,923,981,1023,1071,1123,1177,1238,1310,1370,1432,1497,1563,1623,1679,1739,1794,1847,1926,1987,2067,2160,2224,2290,2355,2415,2500,2578,2677,2772,2866,2956,3049,3152,3271,3380,3489,3599,3710,3861,3980,4130,4252,4379,4514,4643,4765,4891,5036,5189,5369,5559,5727,5904,6108,6286,6515,6706,6935,7154,7372,7595,7829,8094,8361,8619,8909,9180,9442,9718,9956,10251,10540,10825,11116,11413,11763,12113,12484,12822,13183,13570,13986,14380,14783,15176,15609,16039,16453,16924,17411,17874,18362,18847,19323,19829,20350,20831,21348,21877,22452,22991,23559,24127,24709,25281,25837,26496,27158,27804,28487,29203,29866,30587,31284,32010,32695,33453,34262,35094,35853,36689,37511,38362,39190,40121,41015,41932,42913,43874,44861,45895,46966,48078,49217,50430,51630,52805,54044,55279,56597,57972,59348,60723,62142,63603,65078,66645,68195,69679,71231,72875,74497,76189,77852,79483,81195,82949,84843,86665,88570,90408,92331,94317,96309,98371,100419,102559,104718,106821,109014,111169,113575,115896,118210,120659,123089,125508,127968,130440,133042,135570,138128,140623,143263,145978,148663,151227,153940,156688,159538,162527,165490,168511,171653,174822,178126,181367,184667,188134,191641,195201,198868,202446,206144,209925,213737,217591,221558,225627,229826,233966,238217,242582,247052,251623,256284,260835,265464,270180,275000,279926,284935,290056,295405,300843,306320,311847,317461,323093,328856,334649,340756,346895,353063,359374,365676,372015,378580,385126,391761,398682,405586,412480,419500,426632,434001,441379,448845,456274,463886,471696,479409,487431,495489,503622,511877,520417,528836,537244,546111,554877,563784,572810,581850,591070,600341,609756,619567,629422,639459,649564,659865,670499,680926,691579,702362,713518,724514,735537,746634,757982,769134,780596,792217,804046,816149,828255,840621,853191,865472,878114,890780,903856,916942,930300,943707,956980,970863,984902,999092,1013384,1027689,1042224,1057075,1071696,1086660,1101914,1117490,1133090,1148923,1164897,1180986,1197119,1213592,1230141,1246679,1263440,1280397,1297688,1314565,1332087,1349876,1367653,1385534,1403796,1422065,1440508,1459154,1477910,1497171,1516463,1536064,1555625,1575400,1595584,1615922,1636244,1656818,1677581,1698694,1719738,1740660,1761909,1783301,1804912,1826660,1848380,1870398,1892406,1914688,1937111,1959576,1982350,2004833,2027716,2050851,2074234,2097546,2121190,2145135,2169023,2193229,2217581,2242288,2267285,2292193,2317477,2342663,2368040,2393295,2418852,2444258,2470025,2496147,2522055,2547986,2573801,2600082,2626640,2653131,2679408,2706189,2732917,2759551,2786146,2813204,2840290,2867376,2894231,2921133,2948120,2975571,3002695,3029760,3056848,3084255,3111820,3139085,3166574,3193713,3221506
1,1,1,3,5,6,8,9,9,11,11,13,13,17,17,20,23,27,32,36,39,41,48,53,57,67,71,75,78,83,86,93,96,102,104,112,116,125,129,136,140,145,148,157,163,172,181,189,198,205,215,222,227,233,235,238,244,251,255,260,274,279,286,299,315,329,341,351,360,369,378,394,403,420,444,462,479,496,512,531,547,577,599,624,659,686,711,732,757,789,834,856,890,913,946,989,1026,1057,1089,1121,1147,1175,1202,1223,1250,1281,1312,1346,1369,1399,1428,1448,1474,1496,1524,1542,1556,1584,1603,1629,1648,1667,1684,1705,1730,1758,1782,1811,1832,1851,1871,1887,1904,1929,1955,1973,1987,2001,2027,2060,2097,2122,2158,2195,2217,2251,2298,2386,2465,2557,2660,2759,2884,3019,3135,3266,3413,3551,3684,3823,3943,4076,4206,4365,4566,4736,4936,5148,5364,5601,5854,6092,6357,6613,6883,7170,7447,7686,7942,8186,8419,8664,8867,9067,9280,9508,9715,9895,10092,10271,10454,10642,10850,11046,11211,11390,11537,11703,11834,11983,12118,12270,12431,12589,12743,12892,13041,13188,13324,13472,13600,13747,13879,14029,14171,14304,14450,14589,14717,14857,14994,15137,15279,15425,15586,15745,15895,16059,16219,16375,16513,16652,16789,16954,17112,17292,17461,17627,17827,18006,18187,18389,18572,18795,19004,19204,19409,19638,19848,20027,20289,20561,20808,21047,21322,21561,21803,22076,22322,22604,22896,23177,23474,23771,24041,24341,24653,24953,25286,25603,25947,26315,26710,27093,27471,27874,28308,28690,29105,29535,30007,30482,30981,31490,32000,32540,33070,33646,34228,34795,35353,35947,36538,37114,37752,38321,38923,39487,40086,40703,41306,41912,42536,43159,43764,44409,45069,45697,46389,47022,47702,48383,49096,49810,50541,51264,51961,52733,53459,54219,54982,55756,56542,57344,58129,58933,59758,60559,61352,62154,62877,63645,64403,65213,66070,66823,67605,68484,69333,70250,71079,71923,72849,73748,74595,75513,76456,77404,78435,79373,80374,81400,82457,83533,84675,85808,87054,88236,89467,90685,91996,93241,94619,96045,97484,98928,100395,101856,103399,104927,106493,108060,109685,111438,113089,114848,116527,118340,120194,122063,123936,125776,127659,129728,131886,134030,136218,138424,140756,143110,145570,148107,150761,153382,156099,158871,161635,164333,167161,169963,172840,175680,178533,181501,184366,187375,190301,193247,196248,199389,202526,205665,208804,212026,215325,218669,221964,225530,228954,232600,236130,239790,243443,247225,251074,255063,258919,262900,266993,271127,275439,279833,284230,288715,293208,297671,302314,306971,311740,316606,321511,326436,331509,336642,341683,346983,352072,357501,362882,368226,373603,379231,384868,390531,396162,401801,407662,413557,419510,425642,431842,438106,444530,450993,457358,463995,470739,477661,484602,491720,498984,506154,513432,520912,528510,536270,544287,552425,560641,569083,577831,586588,595246,604272,613672,623202,632958,642898,652880,663141,673715,684285,695028,705955,716810,727815,739160
1,1,1,1,1,1,1,1,1,2,3,4,6,6,7,7,8,11,12,13,14,16,18,19,21,25,30,36,45,46,51,57,59,68,76,84,86,93,98,101,106,112,116,122,127,133,136,141,149,156,163,175,182,192,202,207,216,227,237,246,261,272,287,299,305,316,342,359,372,389,411,428,447,471,496,528,546,563,581,601,618,634,653,675,702,726,745,767,786,802,819,839,861,874,891,906,925,942,956,976,996,1013,1025,1039,1056,1082,1108,1130,1158,1190,1221,1252,1288,1317,1344,1373,1410,1441,1489,1522,1559,1608,1645,1690,1730,1755,1796,1838,1891,1934,1982,2024,2071,2119,2186,2231,2277,2332,2386,2438,2502,2555,2604,2654,2706,2765,2828,2880,2931,2999,3071,3141,3214,3277,3350,3429,3493,3591,3677,3755,3850,3943,4042,4127,4210,4306,4390,4490,4607,4715,4807,4910,5014,5101,5214,5305,5403,5508,5604,5680,5779,5871,5965,6075,6173,6282,6394,6480,6565,6657,6762,6845,6937,7034,7116,7212,7307,7403,7498,7587,7696,7782,7894,8001,8122,8251,8343,8437,8562,8676,8792,8910,9024,9147,9261,9394,9523,9652,9783,9935,10085,10231,10391,10549,10709,10889,11068,11235,11404,11589,11766,11961,12131,12316,12524,12739,12989,13211,13420,13648,13864,14108,14327,14576,14815,15071,15315,15557,15815,16087,16354,16600,16859,17160,17494,17783,18107,18423,18707,19031,19345,19659,19991,20319,20658,21019,21362,21734,22106,22533,22958,23350,23770,24198,24606,25023,25476,25980,26517,27060,27572,28078,28571,29129,29679,30302,30903,31499,32105,32667,33266,33925,34606,35263,35949,36672,37385,38092,38809,39583,40342,41013,41770,42604,43362,44142,44958,45836,46702,47550,48450,49311,50237,51165,52008,52967,53945,54909,55910,56911,57898,58930,59966,61012,62081,63156,64262,65384,66467,67651,68867,70034,71179,72421,73642,74843,76061,77341,78553,79822,81125,82436,83828,85132,86482,87950,89387,90825,92282,93789,95288,96783,98275,99851,101410,102984,104604,106232,107896,109617,111308,113204,115071,116924,118908,120903,122936,124986,127173,129301,131520,133717,136049,138340,140655,143076,145463,147890,150414,152897,155418,157817,160474,163028,165610,168266,171069,173724,176369,179131,182023,184928,187994,190957,194037,196993,200071,203084,206140,209269,212498,215782,219008,222257,225672,229270,232795,236341,240051,243715,247515,251477,255451,259391,263558,267704,272002,276397,280768,285204,289727,294273,298907,303612,308368,313231,318222,323314,328469,333775,338963,344267,349783,355301,361008,366869,372707,378712,384733,390788,397022,403343,409820,416339,423000,429844,436662,443348,450386,457510,464581,471896,479315,486788,494354,501995,509757,517572,525558,533559,541882,550100,558464,567170,575813,584694,593651,602810,611982,621477,630951,640731,650511,660526,670559,680875,691437,701966,712817,723865,735098,746389,757940,769725,781734,794001,806364,818846,831308,843870,856524,869626,882769,896108,909532,923421,937192
1,1,1,1,1,1,3,4,6,6,6,7,8,9,11,13,14,16,16,17,18,20,22,28,31,38,42,47,53,58,64,73,79,88,94,96,100,106,110,122,126,131,142,150,157,166,173,178,184,193,200,205,212,220,224,228,234,242,245,253,257,262,272,283,288,296,299,308,316,320,325,330,332,337,340,347,353,359,360,364,367,371,377,380,382,384,388,389,390,393,397,400,404,405,408,412,412,417,422,426,428,430,433,435,440,441,445,446,451,453,453,453,457,460,462,469,473,474,477,481,481,481,484,485,486,487,496,501,502,505,506,509,517,525,532,535,539,543,543,548,554,559,565,566,568,574,579,584,589,592,594,597,606,611,625,629,639,645,654,657,662,665,678,685,691,698,707,713,721,732,745,762,773,776,782,791,805,817,825,834,844,850,862,873,885,895,906,917,927,937,941,953,962,972,985,993,998,1003,1006,1018,1024,1031,1040,1047,1059,1071,1081,1090,1098,1103,1112,1121,1129,1149,1155,1173,1189,1200,1215,1229,1242,1250,1262,1268,1281,1294,1302,1318,1341,1357,1372,1381,1398,1411,1425,1445,1462,1482,1500,1516,1529,1543,1553,1566,1585,1599,1611,1630,1646,1663,1683,1703,1718,1729,1743,1754,1770,1786,1792,1808,1814,1825,1838,1857,1871,1893,1909,1921,1933,1944,1953,1964,1982,1991,1999,2007,2019,2030,2035,2050,2059,2066,2082,2092,2102,2112,2122,2133,2137,2149,2160,2170,2180,2184,2193,2202,2213,2220,2225,2231,2233,2237,2244,2251,2253,2258,2264,2268,2275,2284,2288,2294,2303,2309,2313,2319,2328,2336,2341,2350,2355,2362,2371,2378,2382,2388,2401,2414,2417,2423,2426,2431,2437,2447,2456,2459,2466,2477,2484,2490,2495,2503,2510,2519,2523,2525,2529,2532,2541,2547,2551,2560,2566,2574,2577,2579,2583,2589,2596,2600,2607,2611,2621,2628,2633,2636,2645,2651,2661,2669,2678,2686,2690,2692,2700,2716,2725,2737,2747,2758,2767,2779,2791,2797,2810,2818,2822,2831,2842,2853,2863,2876,2894,2905,2916,2927,2937,2946,2958,2973,2992,3008,3016,3027,3039,3055,3065,3082,3096,3111,3126,3144,3159,3172,3193,3215,3232,3247,3261,3280,3298,3318,3339,3356,3371,3394,3416,3437,3463,3486,3507,3535,3564,3584,3604,3628,3645,3670,3688,3709,3735,3759,3784,3816,3846,3873,3894,3925,3954,3984,4018,4050,4076,4107,4134,4168,4203,4240,4267,4296,4323,4362,4399,4433,4463,4497,4525,4563,4604,4639,4680,4716,4764,4803,4837,4877,4916,4962,5009,5047,5087,5139,5192,5250,5300,5350,5404,5453,5511,5571,5641,5693,5762,5820,5880,5944,6017
1,1,3,3,3,3,3,5,5,6,7,8,8,9,9,9,9,11,13,16,17,20,22,23,25,26,27,28,32,33,38,42,45,49,53,58,64,68,72,76,84,86,91,96,104,109,116,119,127,136,142,147,152,162,167,173,178,191,211,222,233,242,255,268,279,292,301,310,326,337,353,366,376,394,411,425,439,451,466,490,503,517,536,551,568,586,607,623,641,664,684,701,725,740,755,769,799,808,829,843,862,879,893,911,920,937,952,959,970,985,998,1009,1017,1025,1037,1052,1069,1080,1090,1096,1104,1112,1118,1127,1137,1148,1158,1171,1179,1191,1203,1208,1215,1228,1239,1250,1262,1272,1275,1290,1305,1321,1326,1337,1344,1361,1373,1388,1391,1405,1418,1431,1446,1462,1484,1496,1506,1518,1533,1544,1562,1584,1598,1615,1629,1641,1656,1671,1687,1697,1714,1727,1739,1757,1780,1794,1813,1833,1854,1871,1885,1903,1926,1939,1949,1967,1985,2011,2039,2062,2092,2114,2145,2171,2194,2220,2253,2285,2314,2338,2366,2392,2425,2458,2489,2510,2532,2563,2583,2603,2636,2667,2692,2725,2754,2777,2796,2820,2840,2869,2896,2916,2945,2964,2982,3002,3018,3034,3048,3058,3084,3109,3135,3172,3196,3234,3275,3328,3376,3453,3524,3600,3690,3779,3893,4005,4119,4255,4369,4477,4589,4701,4795,4892,5011,5110,5196,5279,5359,5439,5533,5603,5670,5741,5807,5881,5951,6012,6077,6138,6196,6249,6316,6364,6427,6479,6531,6603,6654,6709,6750,6780,6835,6899,6941,6979,7031,7068,7126,7168,7214,7264,7312,7368,7415,7453,7489,7539,7598,7643,7697,7752,7810,7854,7902,7958,8014,8073,8138,8191,8230,8278,8324,8379,8439,8506,8577,8632,8702,8764,8823,8890,8970,9046,9125,9214,9303,9380,9467,9550,9640,9727,9814,9897,9987,10072,10155,10248,10323,10413,10515,10590,10687,10774,10868,10963,11071,11180,11292,11393,11500,11622,11741,11893,12059,12210,12376,12507,12656,12812,12950,13152,13313,13516,13708,13901,14079,14274,14465,14695,14923,15148,15418,15696,15975,16281,16568,16862,17154,17437,17734,18025,18309,18596,18913,19272,19576,19894,20234,20609,20994,21369,21735,22117,22540,22940,23356,23761,24163,24574,24998,25443,25921,26386,26853,27308,27795,28286,28828,29336,29868,30400,30971,31527,32097,32673,33233,33842,34449,35043,35680,36381,37039,37698,38427,39166,39867,40589,41401,42206,43024,43877,44717,45564,46402,47300,48254,49209,50146,51087,52056,53099,54200,55309,56399,57606,58832,60096,61392,62706,64087,65459,66888,68343,69869,71427,72933,74481,76149,77692,79382,81009,82697,84399,86217,87964,89738,91605,93394,95232,97176,99155,101082,103071,105160,107269,109446,111621,113897,116176,118584,121096,123498,126073,128709,131316,133997,136814,139507,142302,145214,148201,151160,154281,157362,160445,163562
1,1,2,2,3,8,11,13,16,16,16,19,22,25,30,36,43,48,56,60,66,67,70,74,78,82,88,90,94,101,111,119,121,127,134,139,146,150,157,166,175,178,184,190,196,204,210,216,222,224,225,229,241,246,252,255,259,269,273,276,276,283,286,290,291,297,305,309,317,323,328,334,339,342,348,351,360,365,367,372,377,381,383,386,396,407,422,434,447,462,473,478,490,507,526,550,571,601,635,659,684,715,739,765,789,818,844,868,899,922,947,966,993,1015,1043,1064,1087,1100,1112,1127,1151,1171,1197,1220,1233,1250,1268,1291,1308,1327,1351,1371,1396,1420,1446,1471,1499,1531,1575,1617,1660,1705,1746,1786,1824,1872,1919,1969,2014,2055,2101,2140,2196,2248,2293,2336,2392,2439,2498,2551,2604,2644,2692,2736,2789,2835,2894,2957,3019,3104,3166,3241,3298,3372,3447,3524,3586,3654,3734,3816,3908,3983,4066,4172,4243,4337,4408,4503,4602,4714,4794,4893,5002,5090,5178,5279,5364,5455,5535,5634,5707,5808,5920,6027,6109,6204,6303,6422,6525,6630,6732,6841,6951,7073,7171,7282,7388,7496,7604,7728,7876,8022,8149,8275,8414,8549,8682,8860,9022,9199,9373,9538,9736,9921,10089,10293,10488,10684,10915,11143,11338,11565,11799,12035,12270,12516,12798,13064,13317,13561,13809,14067,14340,14594,14854,15118,15379,15675,15956,16271,16573,16891,17191,17487,17826,18156,18515,18882,19231,19612,20005,20379,20759,21152,21530,21920,22318,22773,23220,23663,24137,24644,25161,25692,26242,26832,27438,28040,28656,29332,30019,30695,31413,32107,32799,33475,34216,34945,35666,36488,37292,38090,38836,39644,40477,41338,42164,42984,43842,44769,45690,46653,47667,48750,49861,50971,52085,53276,54518,55807,57004,58192,59397,60646,61930,63197,64427,65703,66999,68345,69723,71019,72368,73685,75004,76388,77778,79200,80686,82167,83667,85189,86738,88306,89940,91544,93212,94941,96641,98422,100201,102018,103853,105646,107543,109452,111403,113397,115389,117431,119475,121554,123618,125801,128037,130320,132604,134926,137333,139782,142354,144900,147565,150289,153006,155734,158492,161430,164532,167535,170608,173775,176886,180284,183776,187248,190789,194408,198157,201993,205882,209716,213616,217874,222018,226345,230750,235137,239456,243984,248480,253018,257672,262392,267091,272116,277184,282150,287305,292590,297981,303455,309087,314626,320615,326536,332571,338910,345261,351814,358299,364869,371689,378428,385264,392283,399239,406181,413292,420478,427667,434976,442286,449765,457175,464617,472186,479733,487416,495220,503076,511085,518983,527323,535265,543421,551888,560442,569128,577676,586547,595411,604607,613935,623374,633179,642934,652896,662954,673311,683794,694507,705488,716138,726997,737968,748964,760348,771958,783702,795567,807592,819688,832115,844699,857542,870635,883735,896785,910313,923890,937622,951291,965009,979175,993051,1007477,1021787,1036249,1050801,1065343,1080019,1094488,1109163,1123879,1138693,1153536
1,1,1,2,2,2,3,4,5,7,9,9,12,16,17,18,20,20,22,25,27,31,34,34,34,34,36,37,38,40,41,41,43,46,47,50,52,53,55,56,56,57,57,60,62,65,66,67,74,77,81,88,93,97,101,103,108,114,116,119,124,127,131,135,137,139,142,149,152,157,160,163,165,168,174,176,178,180,182,183,185,186,186,186,189,191,193,194,195,197,203,204,208,216,221,227,228,231,239,249,253,257,265,268,272,278,286,289,293,298,305,312,318,324,329,336,346,353,362,367,370,380,393,403,409,417,422,434,443,448,460,468,476,479,484,493,498,501,508,511,514,523,528,531,534,537,542,548,554,558,560,565,576,581,585,592,596,600,606,608,611,618,625,632,639,649,652,663,672,678,682,686,688,691,697,704,710,711,716,722,731,732,737,739,742,747,756,763,773,774,780,784,790,792,793,800,804,812,816,827,831,841,846,857,864,871,879,886,894,902,910,921,931,938,945,953,960,973,985,992,1008,1027,1040,1048,1057,1067,1081,1093,1099,1111,1116,1128,1142,1150,1162,1177,1182,1189,1199,1207,1223,1233,1242,1260,1277,1286,1294,1301,1313,1323,1339,1351,1361,1373,1389,1405,1427,1444,1468,1488,1510,1532,1544,1566,1580,1604,1622,1642,1662,1688,1705,1729,1755,1776,1794,1814,1837,1852,1871,1898,1916,1928,1955,1987,2009,2028,2044,2066,2086,2105,2128,2150,2171,2204,2236,2265,2308,2343,2371,2410,2442,2478,2520,2559,2597,2639,2687,2733,2784,2834,2874,2933,2989,3043,3102,3163,3233,3293,3367,3458,3555,3646,3770,3887,3983,4091,4209,4319,4441,4592,4728,4871,5032,5193,5338,5481,5639,5795,5977,6162,6323,6496,6655,6809,6968,7141,7284,7442,7619,7783,7952,8110,8291,8458,8615,8774,8935,9118,9290,9489,9668,9851,10023,10201,10373,10558,10709,10894,11067,11255,11440,11629,11818,12020,12230,12448,12648,12852,13067,13313,13533,13776,13991,14231,14464,14705,14953,15192,15449,15711,15987,16273,16556,16827,17129,17412,17721,18074,18416,18774,19167,19543,19954,20378,20833,21262,21742,22246,22760,23267,23796,24324,24856,25409,25993,26579,27148,27758,28339,28915,29451,30027,30688,31359,31961,32567,33178,33821,34447,35065,35685,36376,37052,37712,38425,39093,39827,40569,41299,42066,42846,43662,44500,45335,46202,47096,48024,48981,49921,50880,51841,52820,53775,54789,55778,56832,57894,59010,60070,61120,62258,63311,64400,65572,66717,67907,69150,70389,71639,72906,74158,75461,76759,78040,79351,80713,82091,83480,84876,86313,87792,89266,90794,92349,93839,95320,96898,98435,100022,101549,103131,104770,106379,107972,109598,111305,112976
1,1,1,3,3,4,5,7,9,10,10,10,10,10,10,10,12,13,14,14,15,16,16,17,17,17,17,17,18,18,20,20,21,21,22,23,23,23,23,23,23,23,23,24,24,24,24,25,26,28,28,28,31,33,33,33,33,33,35,35,36,37,39,41,43,44,46,48,53,58,65,67,71,75,76,77,81,83,86,90,95,99,103,105,113,118,125,128,129,131,134,139,144,152,159,163,171,180,187,200,202,208,217,225,233,240,245,252,260,266,277,286,295,303,322,346,364,380,389,403,429,459,483,525,546,588,614,654,695,734,767,804,843,875,915,956,993,1042,1076,1121,1174,1229,1271,1328,1393,1450,1498,1546,1602,1639,1680,1737,1782,1848,1913,1960,2019,2073,2137,2200,2286,2353,2444,2520,2603,2715,2819,2911,3018,3103,3200,3297,3420,3506,3639,3785,3916,4049,4170,4320,4461,4585,4762,4940,5128,5334,5583,5858,6091,6352,6627,6901,7183,7473,7740,7995,8246,8545,8806,9062,9384,9651,9942,10256,10550,10896,11198,11512,11872,12208,12556,12983,13418,13883,14368,14818,15247,15744,16197,16680,17118,17594,18079,18485,18892,19348,19821,20289,20770,21248,21702,22159,22641,23103,23577,24075,24555,25078,25609,26146,26681,27225,27771,28322,28841,29433,29997,30563,31173,31731,32418,33077,33744,34480,35180,35857,36583,37357,38103,38877,39621,40442,41244,42078,42907,43845,44751,45691,46576,47525,48510,49522,50533,51572,52614,53643,54679,55845,57009,58195,59446,60743,62017,63374,64778,66197,67683,69171,70723,72251,73908,75608,77224,78908,80646,82317,84174,85992,87832,89797,91732,93687,95565,97626,99697,101777,103949,106207,108428,110770,113104,115599,118085,120560,123076,125757,128428,131164,133980,136872,139876,142884,146003,149142,152345,155740,159154,162639,166123,169711,173360,177129,180832,184631,188415,192250,196206,200180,204226,208151,212251,216314,220529,224811,229222,233757,238311,242932,247637,252475,257400,262633,267838,273346,278725,284176,289775,295385,301119,307081,313077,319034,325292,331614,337909,344373,351026,357697,364555,371597,378723,385811,393184,400743,408315,416123,424104,432019,440125,448510,456854,465366,474054,482763,491524,500556,509708,518886,528262,537721,547330,557056,567012,577144,587445,597742,608000,618428,628712,639441,650342,661160,672378,683579,695166,706778,718415,730476,742655,754905,767536,780257,793213,806261,819523,832882,846285,859889,873457,887376,901268,915393,929696,944104,958696,973440,988214,1003338,1018497,1034175,1049991,1065933,1082057,1098294,1114652,1131321,1148197,1165333,1182383,1199775,1217207,1234852,1252536,1270467,1288589,1306771,1325220,1343695,1362386,1381628,1400821,1420154,1439643,1458893,1478365,1497931,1517582,1537510,1557766,1577770,1598453,1618999,1639760,1660704,1681869,1703120,1724485,1745942,1767821,1789694,1811511,1833700,1856195,1878862,1901805,1924421,1947399,1970170,1993470,2016696,2040544,2064393,2088385,2112602,2137263,2161751,2186628,2211429,2236194,2261206,2286414,2311744,2336713,2362426,2388044,2413699,2439570
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1,1,1,3,4,6,8,9,9,10,11,11,11,11,11,14,18,19,20,21,23,25,25,32,37,38,45,52,54,57,60,63,75,81,85,93,99,105,108,111,119,127,132,136,141,147,153,157,163,168,177,192,197,201,209,213,219,227,236,243,251,256,260,264,265,270,277,285,296,307,323,342,352,369,390,405,419,434,451,471,488,508,534,546,564,587,615,628,650,667,688,710,733,752,772,795,819,838,859,881,904,927,948,964,985,1005,1027,1053,1087,1120,1144,1167,1203,1230,1246,1269,1297,1328,1354,1373,1397,1415,1441,1472,1492,1515,1545,1567,1591,1620,1641,1674,1690,1716,1731,1748,1770,1789,1802,1819,1837,1855,1873,1887,1909,1921,1938,1952,1963,1982,1998,2012,2024,2037,2047,2052,2063,2073,2078,2085,2091,2097,2101,2114,2123,2125,2134,2143,2147,2154,2162,2163,2167,2170,2173,2177,2187,2196,2203,2204,2213,2215,2221,2223,2229,2230,2235,2241,2251,2256,2266,2279,2291,2306,2313,2321,2327,2340,2355,2364,2375,2389,2394,2404,2415,2429,2438,2449,2455,2464,2474,2480,2497,2513,2518,2529,2545,2552,2563,2576,2590,2600,2612,2618,2627,2635,2645,2652,2664,2673,2682,2691,2704,2715,2723,2732,2746,2755,2762,2769,2782,2796,2805,2809,2819,2830,2837,2847,2864,2879,2895,2921,2934,2943,2963,2981,2994,3003,3010,3030,3040,3064,3079,3100,3116,3135,3150,3182,3203,3226,3250,3272,3306,3339,3360,3382,3397,3437,3474,3503,3536,3557,3605,3637,3684,3722,3752,3794,3835,3882,3921,3956,3995,4027,4077,4113,4148,4183,4235,4285,4338,4382,4422,4468,4514,4561,4606,4649,4684,4722,4762,4798,4830,4862,4890,4924,4960,5002,5039,5070,5105,5143,5183,5217,5260,5297,5343,5389,5441,5486,5533,5583,5631,5690,5742,5798,5848,5894,5938,5986,6040,6086,6136,6184,6233,6294,6340,6386,6439,6496,6549,6600,6672,6729,6787,6832,6896,6957,7036,7095,7149,7215,7274,7346,7414,7461,7514,7577,7632,7694,7751,7811,7880,7958,8019,8078,8140,8219,8279,8352,8430,8497,8556,8629,8706,8792,8862,8945,9033,9111,9201,9279,9361,9444,9540,9622,9727,9812,9907,10006,10103,10209,10318,10407,10518,10594,10677,10774,10885,10980,11088,11199,11294,11409,11508,11617,11708,11798,11885,11990,12077,12172,12270,12369,12464,12581,12700,12805,12899,13006,13110,13202,13303,13399,13510,13617,13731,13826,13937,14057,14156,14274,14382,14497,14627,14757,14882,14998,15110,15237,15355,15492,15634,15791,15963,16111,16248,16388,16513,16670,16859,17005,17154,17330,17492,17659,17820,17988,18134,18280,18457,18620,18805,18985,19142,19306,19476,19658,19857,20023,20178,20368,20555,20751,20966,21169,21379,21627,21848,22067,22301,22554,22799,23052,23322,23581,23882
1,1,1,1,1,1,1,1,1,2,4,4,6,6,6,6,7,8,10,10,10,11,11,11,12,13,14,14,15,15,16,17,20,22,22,26,27,29,29,30,31,33,34,35,36,39,40,42,44,45,45,47,52,54,56,59,63,67,69,69,71,72,74,80,82,85,87,91,94,96,101,105,114,116,119,128,136,141,150,159,172,179,186,204,216,226,247,259,276,290,308,327,347,368,393,412,443,472,502,530,568,604,633,667,695,727,755,789,823,879,929,981,1033,1073,1125,1179,1233,1275,1332,1396,1480,1566,1640,1707,1787,1857,1925,2003,2094,2180,2259,2341,2458,2568,2649,2738,2837,2941,3042,3131,3221,3349,3502,3635,3782,3912,4063,4188,4335,4479,4615,4775,4961,5127,5306,5453,5608,5782,5950,6140,6303,6488,6659,6828,7009,7208,7416,7626,7844,8053,8252,8488,8688,8922,9149,9364,9593,9822,10058,10306,10532,10782,11059,11307,11558,11853,12111,12381,12675,12960,13251,13533,13811,14149,14485,14792,15145,15468,15786,16147,16520,16854,17201,17589,17983,18374,18740,19135,19530,19933,20319,20718,21110,21564,21994,22467,22975,23446,23966,24482,25038,25572,26109,26709,27299,27929,28509,29119,29728,30374,31015,31668,32363,33101,33844,34598,35359,36152,36921,37746,38584,39428,40310,41193,42098,43067,44042,45029,45977,46915,47847,48825,49703,50665,51586,52499,53456,54404,55348,56328,57327,58278,59232,60250,61247,62308,63395,64509,65638,66827,68023,69243,70536,71776,73105,74424,75838,77250,78692,80245,81770,83343,84892,86463,88036,89728,91414,93100,94787,96502,98286,100133,102037,103822,105650,107624,109563,111527,113530,115601,117659,119716,121912,124166,126352,128581,130798,133130,135363,137734,140075,142608,145131,147706,150373,153051,155734,158424,161289,164124,166988,169887,172870,175985,179041,182271,185487,188722,192109,195463,198961,202470,206046,209774,213397,217252,221170,225229,229390,233460,237635,241812,246238,250486,254930,259408,264074,268898,273699,278672,283766,288766,293972,299262,304462,309800,315369,320945,326747,332599,338439,344461,350648,356830,363213,369598,376094,382562,389318,396136,402949,409873,417057,424268,431532,438971,446599,454212,462081,470082,478265,486368,494659,502875,511377,520125,528869,537835,546930,556092,565492,575047,584684,594549,604528,614707,625082,635303,645966,656852,667867,678982,690272,701763,713612,725193,737217,749198,761471,773966,786597,799379,812366,825656,838990,852106,865712,879392,892876,906558,920382,934304,948229,962786,976885,991446,1006177,1020954,1036073,1050994,1066518,1081939,1097494,1113112,1129035,1144897,1161425,1177875,1194329,1210957,1227696,1244712,1261982,1279140,1296417,1313961,1331448,1349004,1366867,1384819,1403030,1421211,1439481,1457750,1476476,1495261,1514376,1533365,1552509,1572011,1591414,1610931,1630706,1650680,1670826,1690906,1711129,1731529,1752146,1772605,1793260,1814064,1834988,1856361,1877639,1899255,1920819,1942480,1964262,1986264,2008414,2030569,2052688,2074648,2097035,2119323,2141817,2164593,2187184,2209894,2232988,2256141,2279236,2302752,2325927,2349510,2373067
1,1,2,2,5,8,10,10,12,16,16,16,18,19,23,23,23,23,25,30,35,37,39,40,40,43,46,47,49,54,60,63,66,70,72,75,79,83,84,91,95,100,105,109,115,118,123,128,134,134,135,138,145,147,153,154,162,167,172,174,177,182,184,190,196,197,199,202,207,209,212,215,218,221,226,233,239,245,250,257,261,264,269,277,282,289,294,301,314,322,331,334,337,339,343,355,371,377,387,396,414,429,436,444,454,469,479,490,496,507,518,528,536,546,552,563,580,595,607,626,638,645,653,667,673,682,688,699,711,725,743,757,777,792,807,840,862,878,904,958,1011,1069,1125,1188,1260,1330,1405,1482,1565,1651,1728,1805,1879,1952,2029,2099,2177,2234,2312,2368,2446,2511,2579,2654,2707,2771,2829,2880,2925,2983,3047,3092,3148,3201,3244,3314,3394,3460,3535,3614,3678,3751,3843,3950,4054,4182,4285,4418,4559,4686,4835,4972,5104,5239,5384,5527,5687,5841,5983,6119,6251,6382,6501,6634,6770,6897,7032,7166,7285,7401,7523,7645,7743,7839,7964,8080,8200,8310,8404,8534,8660,8788,8901,9033,9149,9278,9410,9532,9683,9841,10001,10158,10278,10439,10569,10719,10847,11005,11138,11286,11423,11583,11721,11882,12069,12226,12406,12580,12756,12928,13119,13330,13524,13714,13904,14074,14287,14453,14693,14897,15072,15284,15511,15727,15939,16164,16398,16642,16907,17169,17422,17675,17957,18286,18559,18864,19141,19454,19785,20094,20383,20723,21025,21380,21693,22028,22385,22754,23087,23490,23863,24235,24619,25014,25437,25834,26231,26656,27125,27563,28031,28499,28967,29378,29864,30337,30846,31389,31878,32428,32937,33416,33985,34557,35083,35702,36267,36898,37494,38172,38824,39446,40092,40820,41513,42263,43037,43806,44557,45334,46124,46971,47858,48725,49673,50619,51624,52637,53629,54664,55705,56784,57891,59055,60221,61363,62612,63858,65174,66533,67938,69424,70896,72449,74036,75610,77210,78880,80465,82248,84105,85901,87692,89438,91312,93252,95205,97085,99079,101191,103278,105348,107515,109790,112005,114290,116581,118888,121316,123701,126039,128481,130991,133554,136028,138520,141096,143706,146344,149014,151808,154601,157378,160227,163118,166052,169109,172206,175387,178626,181760,185096,188450,191855,195319,198751,202336,205843,209401,213069,216730,220306,224035,227843,231622,235545,239621,243717,247798,251903,256106,260360,264598,269061,273541,278182,282928,287821,292772,297928,303175,308533,314210,319734,325547,331484,337424,343425,349636,356232,362630,369191,376077,383063,390262,397490,404876,412134,419506,427150,434484,442272,450085,457961,465830,473831,481960,490230,498822,507547,516240,525151,534122,543352,552568,561964,571519,581352,591234,601181,611416,621703,632134,642785,653639,664500,675539,686748,698011,709434,720960,732784,744508,756553,768677,780970,793270,805715,818402,831207,844090,857224,870369,883685,897171,910681,924574
1,1,2,2,3,5,7,8,11,17,18,19,20,21,21,22,23,26,33,35,39,41,45,48,52,56,58,64,69,75,81,87,91,93,99,101,104,106,111,117,121,126,131,135,138,139,144,147,155,160,163,165,169,174,179,184,194,197,200,203,210,215,226,233,237,242,258,263,269,277,279,284,289,292,299,305,310,321,326,334,340,346,353,361,368,380,388,391,400,403,414,425,432,439,445,454,459,464,478,496,507,516,528,543,551,566,580,588,597,611,623,628,641,661,671,681,688,700,711,720,741,744,753,758,768,782,800,815,827,848,860,873,899,921,939,954,967,978,991,1009,1021,1043,1061,1079,1095,1110,1128,1140,1154,1171,1193,1211,1231,1246,1270,1295,1313,1334,1355,1368,1387,1416,1444,1484,1511,1536,1572,1599,1631,1661,1705,1739,1767,1793,1825,1857,1900,1936,1963,2002,2041,2082,2117,2150,2190,2234,2269,2306,2353,2394,2443,2484,2523,2570,2621,2675,2712,2760,2819,2882,2940,2990,3043,3099,3142,3197,3249,3325,3389,3453,3518,3573,3637,3715,3762,3833,3898,3960,4037,4114,4185,4250,4326,4410,4500,4589,4663,4748,4829,4894,4990,5063,5142,5243,5333,5446,5541,5646,5756,5849,5959,6081,6209,6326,6446,6586,6719,6857,7009,7190,7327,7478,7654,7848,8048,8259,8440,8641,8878,9125,9371,9621,9892,10166,10436,10724,11052,11369,11667,12022,12377,12754,13131,13507,13924,14360,14745,15169,15678,16109,16612,17114,17639,18166,18698,19303,19892,20496,21158,21803,22465,23159,23842,24593,25349,26089,26878,27682,28514,29293,30124,30977,31847,32732,33699,34666,35604,36542,37547,38539,39586,40644,41755,42843,43975,45117,46290,47453,48725,50024,51300,52633,53883,55178,56548,57797,59079,60441,61829,63210,64639,66054,67493,68969,70494,72025,73652,75263,76903,78575,80276,82086,83879,85741,87618,89438,91324,93184,95112,97004,98940,100898,102964,104954,107018,109141,111224,113333,115491,117687,119911,122198,124416,126845,129255,131614,134126,136655,139253,141857,144540,147259,150057,152859,155686,158675,161726,164851,167885,171034,174211,177592,180942,184415,188015,191600,195362,199272,203179,207162,211094,215040,219068,223295,227539,231757,236174,240683,245298,249851,254562,259276,263975,269004,273906,278947,284133,289493,294820,300373,305876,311614,317382,323386,329354,335504,341586,347737,354118,360675,367191,373946,380848,387644,394572,401611,408779,416176,423486,431006,438557,446079,453871,461679,469509,477405,485444,493677,502039,510444,518886,527308,535948,544849,553649,562571,571716,581046,590326,599712,609301,618973,628409,638277,648041,658007,668213,678664,689206,699751,710326,721074,732166,743301,754535,766080,777739,789659,801609,813841,826042,838445,851262,864170,877173,890669,904259,917930,931627,945607,959555,973753,988077,1002594,1017084,1031986,1046977,1062204,1077477,1092628,1108188,1123743,1139539,1155646,1171848,1188353,1204900
1,1,1,1,1,2,4,5,6,7,9,13,16,17,18,19,19,20,23,24,25,30,32,35,36,38,42,46,52,57,59,60,63,65,70,73,79,85,92,97,99,103,108,112,114,116,123,126,127,131,135,139,141,149,151,153,159,162,164,164,168,172,174,175,177,182,186,190,193,194,198,200,209,214,215,219,220,225,230,236,238,246,252,255,261,269,276,283,289,297,302,309,314,320,332,340,349,356,362,369,380,390,402,410,423,430,445,458,477,488,504,522,534,554,564,583,598,608,622,630,645,655,669,683,690,702,715,726,738,743,752,768,773,787,797,806,813,822,831,837,847,857,864,872,880,894,902,913,925,934,944,958,970,981,988,1002,1010,1018,1026,1037,1047,1059,1077,1086,1097,1102,1112,1117,1123,1132,1142,1156,1167,1179,1190,1204,1216,1225,1243,1255,1265,1273,1279,1289,1306,1319,1331,1348,1360,1367,1377,1387,1399,1412,1421,1428,1438,1452,1456,1462,1472,1483,1491,1501,1507,1513,1524,1530,1540,1549,1567,1573,1577,1582,1591,1594,1598,1608,1613,1622,1633,1645,1657,1674,1685,1694,1700,1714,1731,1746,1771,1797,1817,1851,1893,1919,1960,2020,2084,2161,2243,2325,2443,2576,2688,2827,2952,3074,3205,3334,3473,3594,3736,3870,4003,4139,4293,4430,4587,4751,4948,5157,5398,5607,5789,5994,6186,6367,6543,6726,6907,7100,7310,7472,7636,7845,8041,8226,8392,8583,8734,8922,9086,9248,9412,9592,9746,9906,10099,10276,10442,10603,10764,10925,11069,11228,11412,11580,11748,11941,12149,12333,12512,12733,12942,13130,13356,13556,13779,13995,14230,14481,14716,14964,15192,15418,15646,15890,16124,16391,16649,16896,17180,17485,17782,18078,18359,18643,18938,19237,19547,19906,20248,20610,20955,21316,21668,22049,22475,22864,23287,23669,24088,24534,24999,25448,25939,26458,26961,27473,28021,28580,29193,29749,30337,31003,31595,32239,32913,33528,34178,34876,35545,36289,36985,37690,38405,39145,39800,40539,41265,41955,42663,43398,44146,44943,45712,46531,47352,48245,49075,49910,50760,51634,52501,53441,54408,55387,56415,57365,58352,59403,60407,61476,62485,63531,64670,65822,66988,68111,69277,70562,71850,73112,74470,75874,77257,78645,80143,81636,83162,84771,86320,87966,89586,91276,92968,94726,96528,98274,100034,101959,103863,105793,107775,109762,111874,114064,116183,118346,120631,122976,125356,127734,130159,132642,135192,137754,140384,143006,145737,148472,151266,154049,156965,159810,162755,165703,168724,171823,175020,178213,181388,184756,188175,191540,195102,198601,202094,205761,209351,213137,216963,220782,224667,228597,232481,236552,240694,244887,249055,253348,257625,262045,266528,270907,275526,280130,284936,289679,294478,299349,304335,309298,314397,319712,325009,330296,335541,341181,346752,352443,358316,364294,370257,376447,382696
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1,1,1,1,1,2,2,2,3,3,3,3,3,5,10,11,12,19,24,30,31,33,36,39,43,49,53,61,66,75,81,87,92,100,103,110,120,126,134,144,147,153,158,163,170,173,181,188,195,200,204,214,220,225,228,235,238,243,251,259,265,270,275,277,287,294,298,301,303,315,325,334,340,349,356,363,373,381,386,392,402,416,421,433,441,464,477,493,506,515,528,541,559,573,588,605,619,633,643,653,667,684,696,708,721,733,746,756,770,787,805,819,836,852,876,889,913,938,961,983,1011,1026,1042,1066,1090,1123,1161,1193,1218,1254,1284,1324,1365,1409,1449,1493,1534,1583,1625,1673,1728,1777,1828,1885,1948,2000,2059,2105,2143,2201,2265,2323,2392,2453,2507,2564,2641,2718,2772,2840,2908,2988,3088,3186,3278,3386,3480,3608,3732,3856,3967,4097,4237,4361,4507,4641,4778,4910,5051,5201,5343,5472,5632,5776,5941,6076,6242,6405,6582,6743,6923,7095,7307,7507,7729,7941,8149,8389,8613,8860,9113,9384,9687,9945,10255,10568,10894,11230,11558,11906,12252,12623,12991,13339,13713,14071,14445,14857,15231,15626,16050,16472,16972,17449,17937,18411,18879,19357,19863,20379,20919,21447,21996,22530,23141,23751,24341,24949,25594,26255,26939,27588,28236,28875,29532,30250,30985,31735,32524,33248,34026,34835,35644,36446,37313,38141,39079,40026,40962,41930,42910,43921,44972,46003,47038,48106,49188,50280,51326,52403,53547,54665,55814,56942,58118,59266,60531,61769,62969,64232,65461,66831,68102,69432,70797,72202,73593,75052,76548,78053,79553,81084,82712,84332,86050,87763,89445,91266,93095,94869,96806,98694,100617,102591,104594,106588,108608,110710,112847,114957,117088,119309,121566,123910,126277,128706,131165,133653,136178,138731,141216,143833,146468,149214,151967,154632,157555,160495,163398,166508,169602,172778,176092,179489,182958,186451,190071,193811,197621,201266,205045,208913,212951,216954,220982,225062,229259,233552,237778,242101,246535,251146,255658,260237,264803,269574,274518,279673,284824,290012,295337,300702,306382,311941,317519,323211,329055,334897,340806,346878,352966,359354,365771,372118,378557,385211,392029,398929,405800,412777,419803,427028,434363,441907,449586,457471,465281,473302,481350,489722,498181,506577,515177,523838,532473,541126,549992,559053,568304,577740,587169,596677,606379,616333,626255,636524,646858,657164,667654,678040,688685,699569,710549,721997,733125,744730,756351,768101,780112,792316,804670,817132,829586,842127,854835,868002,881224,894825,908324,922352,936467,950629,965075,979551,994040,1008867,1023867,1038966,1054408,1069689,1085476,1101039,1117202,1133090,1149293,1165507,1182330,1199222,1216097,1233288,1250607,1267887,1285610,1303344,1321355,1339210,1357310,1375529,1393894,1412409,1430901,1449630,1468469,1487225,1506445,1525460,1544930,1564435,1583998,1603827,1623785,1643917,1664019,1684642,1705352,1725659,1746737,1767717,1788590,1809904,1831161,1852835,1874196,1896122,1917814,1939715,1961886,1983999,2006648,2029231,2052188,2075230,2098378,2121924,2145738,2169191,2193274
1,1,1,1,1,1,2,3,3,4,5,6,9,10,10,12,13,13,13,14,15,15,16,17,21,21,25,29,32,37,38,42,45,49,51,53,56,61,62,62,68,74,79,82,87,89,92,95,96,104,104,109,112,120,121,125,129,138,140,146,158,164,168,176,180,188,193,200,205,213,222,230,237,246,253,259,269,276,283,291,298,305,315,324,336,346,359,371,377,388,395,406,415,423,429,437,443,459,471,487,497,512,519,524,537,544,554,562,573,580,589,605,618,626,636,644,653,660,669,677,692,700,706,712,719,725,726,733,741,747,753,758,767,770,775,779,783,787,789,793,797,801,807,813,818,822,826,828,833,837,842,844,848,856,860,862,868,876,885,889,891,893,895,897,904,914,919,924,927,938,942,949,952,956,962,971,984,990,999,1004,1011,1018,1025,1031,1033,1040,1042,1051,1059,1062,1069,1076,1081,1087,1092,1096,1105,1110,1117,1121,1128,1134,1135,1143,1150,1158,1163,1170,1179,1185,1194,1201,1207,1216,1219,1231,1236,1250,1260,1269,1285,1295,1310,1318,1334,1346,1356,1368,1380,1398,1415,1428,1439,1452,1474,1492,1506,1524,1539,1552,1570,1583,1601,1614,1627,1643,1654,1667,1684,1709,1729,1751,1761,1782,1800,1814,1834,1853,1877,1898,1925,1961,1999,2024,2048,2078,2113,2152,2178,2224,2260,2319,2381,2440,2509,2573,2640,2689,2766,2845,2901,2974,3034,3105,3176,3245,3319,3375,3432,3501,3557,3638,3708,3772,3832,3890,3951,4011,4083,4152,4210,4267,4334,4389,4460,4518,4599,4663,4733,4815,4897,5015,5105,5214,5352,5483,5601,5715,5836,5981,6102,6235,6364,6512,6652,6807,6956,7097,7250,7406,7572,7730,7884,8055,8229,8400,8560,8762,8953,9175,9440,9701,9964,10295,10623,10936,11281,11653,12045,12447,12904,13338,13770,14226,14637,15029,15437,15856,16338,16793,17313,17822,18377,18946,19507,20056,20649,21242,21879,22512,23098,23776,24461,25147,25788,26457,27135,27790,28424,29069,29700,30363,31021,31695,32370,33087,33769,34396,35055,35724,36444,37157,37830,38593,39292,40033,40789,41574,42367,43167,43955,44767,45625,46460,47340,48231,49119,49969,50894,51750,52669,53553,54431,55341,56265,57226,58157,59068,60002,60974,62036,63021,63996,65047,66074,67082,68095,69089,70188,71304,72425,73571,74731,75957,77084,78321,79596,80866,82134,83431,84766,86115,87477,88848,90275,91644,93119,94548,96011,97479,98975,100488,102071,103735,105416,107114,108804,110531,112273,114079,115913,117824,119861,121854,123886,126012,128221,130447,132720,135016,137492,139994,142663,145297,148065,150781,153667,156678,159827,162845,165952,169060,172331,175593,178936,182308,185615,189150,192744,196517,200204,204074,207868,211990,216069,220326,224517
1,1,3,5,6,6,7,9,12,12,12,12,13,13,15,18,22,25,27,31,34,41,45,51,53,57,65,67,73,85,92,98,100,110,115,119,122,128,136,139,145,151,157,167,174,182,186,191,198,209,224,238,245,252,256,264,276,288,297,308,318,325,340,350,360,371,381,394,409,418,428,438,453,469,482,506,520,538,557,569,583,597,610,629,643,660,678,692,709,729,744,760,777,794,809,823,837,863,884,898,921,942,960,977,998,1018,1035,1056,1093,1123,1147,1162,1188,1224,1259,1287,1321,1353,1381,1414,1443,1471,1504,1528,1549,1582,1612,1642,1677,1709,1732,1759,1783,1805,1833,1854,1886,1922,1950,1976,2021,2057,2088,2115,2151,2188,2225,2274,2307,2347,2387,2435,2476,2523,2569,2602,2632,2663,2706,2744,2782,2814,2856,2888,2926,2951,2975,3001,3026,3058,3086,3114,3136,3165,3189,3213,3237,3265,3297,3317,3342,3357,3380,3413,3434,3463,3488,3520,3551,3587,3635,3675,3733,3786,3845,3904,3976,4061,4140,4227,4346,4460,4591,4682,4796,4899,5000,5130,5227,5330,5435,5546,5665,5805,5963,6148,6354,6562,6760,6977,7206,7420,7670,7900,8140,8364,8587,8785,9009,9233,9459,9650,9843,10093,10318,10540,10748,10975,11199,11424,11625,11857,12176,12511,12862,13230,13618,14043,14420,14810,15232,15631,16069,16500,16924,17361,17799,18174,18573,19005,19370,19779,20195,20601,20968,21357,21781,22248,22690,23155,23651,24116,24603,25181,25753,26287,26838,27386,27943,28538,29128,29746,30344,31028,31694,32376,33109,33764,34488,35205,35903,36632,37421,38184,38931,39671,40497,41270,42109,42901,43716,44560,45443,46394,47387,48398,49466,50538,51661,52826,53944,55111,56221,57347,58517,59666,60884,62168,63493,64780,66149,67432,68778,70093,71480,72924,74358,75882,77377,78902,80483,82054,83706,85436,87160,88872,90667,92601,94509,96513,98565,100621,102801,104947,107085,109404,111804,114186,116776,119453,121930,124566,127317,129940,132717,135564,138425,141297,144264,147322,150408,153603,156685,160060,163546,167026,170617,174228,177967,181714,185655,189785,193851,197982,202231,206448,210834,215236,219729,224311,228886,233558,238337,243092,247991,253076,257961,263009,268181,273396,278747,284206,289634,295206,300849,306945,312817,318876,324904,331219,337576,343947,350557,357180,363915,370800,377758,384777,392030,399258,406686,414135,421766,429311,437068,444822,452857,461076,469285,477675,486060,494828,503651,512323,521322,530476,539506,548780,558109,567736,577529,587298,597244,607412,617667,628159,638831,649653,660536,671634,682966,694308,705920,717570,729324,741292,753404,765739,778286,791078,804005,817222,830513,843931,857532,871319,885056,899007,913114,927180,941670,956137,971070,985736,1000805,1016001,1031072,1046622,1061983,1077388,1093356,1109099,1125095,1141341,1157646,1174293,1190899,1207589,1224476,1241537,1258838,1276307,1294095,1311593,1329324,1347350,1365277,1383332,1401722,1420000,1438554,1457060,1475346,1493906,1512761,1531622,1550531
1,1,1,1,1,1,4,5,9,11,11,13,16,16,18,21,23,24,24,26,30,32,38,41,46,48,53,58,62,69,73,78,81,86,91,95,103,106,111,112,116,117,125,129,130,130,137,144,147,151,161,169,178,181,188,196,203,208,210,213,219,226,238,245,254,261,268,276,279,282,290,295,299,305,312,317,326,332,340,350,360,367,373,381,390,395,408,416,429,437,454,467,480,501,528,549,573,588,618,643,673,691,732,774,800,835,872,905,941,976,1007,1050,1080,1130,1177,1214,1270,1314,1370,1432,1495,1542,1612,1674,1740,1798,1850,1915,1973,2037,2111,2174,2248,2340,2423,2513,2601,2698,2780,2890,2983,3080,3216,3349,3482,3608,3751,3885,4042,4197,4345,4506,4674,4831,5003,5177,5367,5583,5771,5967,6184,6414,6645,6882,7126,7362,7615,7877,8125,8382,8674,8960,9240,9533,9798,10094,10382,10671,10971,11256,11560,11866,12173,12500,12783,13064,13361,13669,13988,14255,14576,14864,15161,15480,15785,16087,16391,16725,17065,17361,17703,17954,18253,18572,18895,19227,19534,19871,20223,20517,20850,21189,21519,21834,22160,22477,22817,23172,23511,23812,24154,24474,24821,25173,25511,25860,26197,26554,26867,27205,27555,27916,28276,28649,28969,29328,29690,30064,30423,30774,31128,31500,31837,32216,32608,32987,33385,33812,34217,34658,35154,35681,36162,36669,37140,37645,38121,38650,39231,39801,40415,41028,41687,42309,42932,43648,44312,45061,45741,46431,47128,47839,48643,49425,50215,51013,51838,52702,53556,54403,55378,56372,57316,58253,59284,60310,61332,62443,63532,64708,65889,67087,68252,69444,70628,71882,73115,74408,75670,76963,78285,79632,80872,82210,83621,84979,86421,87910,89414,90853,92385,93892,95429,96923,98550,100158,101887,103582,105244,107016,108776,110557,112350,114125,115908,117822,119664,121518,123388,125337,127259,129176,131162,133186,135163,137207,139247,141382,143504,145571,147706,149861,152123,154346,156617,158916,161289,163702,166092,168611,171197,173756,176387,178948,181655,184346,187135,189921,192712,195594,198507,201326,204391,207504,210580,213681,216802,220016,223340,226671,229976,233490,237085,240553,244327,248067,251852,255656,259530,263378,267426,271653,276032,280321,284740,289172,293701,298348,303137,307978,312801,317674,322651,327523,332500,337626,342742,348087,353367,358668,364137,369802,375505,381175,387034,392712,398457,404395,410432,416615,422938,429202,435592,442176,448970,455843,462794,469987,477211,484710,492300,499869,507461,515225,523289,531379,539611,548103,556406,564977,573542,581994,590815,599807,608600,617637,626978,636145,645508,655018,664774,674735,684764,694718,704774,715064,725745,736401,747222,758276,769551,780728,792096,803463,815140,826955,838869,850982,863117,875372,887755,900384,913130,926022,939132,952310,965543,978923,992362,1006004,1019854,1033863,1048084,1062860,1077551,1092141,1107139,1122212,1137338,1152425,1167821,1183385,1199077,1215110,1231044,1247245,1263626,1280089,1296921,1313764,1330695,1347990,1365431,1383124,1401014,1418903,1436850
1,1,1,2,3,3,3,6,8,8,10,13,14,18,19,21,21,25,27,30,32,33,35,38,43,46,51,56,61,64,69,74,84,84,87,91,95,102,103,105,111,113,118,121,124,126,128,130,137,139,141,143,145,149,154,155,159,163,166,169,171,173,177,178,181,184,189,191,193,194,198,204,209,213,217,223,226,231,235,240,245,249,257,262,271,280,286,292,303,318,327,339,346,353,358,363,374,377,386,393,404,407,417,427,440,453,464,471,483,495,506,512,517,526,536,546,556,567,586,607,620,627,638,645,648,658,668,677,689,695,706,719,732,741,749,759,767,782,792,798,804,815,824,830,840,850,858,866,872,880,888,895,908,920,922,930,937,948,957,964,972,977,985,990,993,1001,1007,1014,1023,1032,1040,1045,1050,1058,1073,1080,1089,1098,1110,1119,1125,1128,1140,1146,1152,1162,1170,1174,1182,1200,1216,1227,1244,1252,1262,1277,1292,1306,1318,1335,1352,1360,1375,1383,1390,1400,1417,1425,1435,1442,1453,1460,1480,1498,1515,1526,1545,1562,1572,1592,1603,1623,1646,1667,1696,1719,1745,1761,1783,1811,1837,1865,1903,1939,1963,1993,2023,2060,2094,2139,2168,2192,2212,2237,2266,2300,2331,2365,2406,2437,2474,2501,2536,2568,2596,2627,2647,2686,2714,2756,2792,2829,2862,2896,2928,2960,2999,3033,3067,3090,3121,3154,3189,3224,3271,3299,3335,3367,3391,3431,3466,3509,3573,3621,3664,3721,3770,3811,3856,3903,3975,4046,4104,4184,4289,4370,4447,4519,4604,4698,4772,4873,4963,5057,5140,5221,5306,5396,5469,5553,5653,5748,5818,5911,6005,6086,6185,6275,6361,6457,6563,6667,6781,6892,7016,7156,7291,7430,7550,7674,7827,7971,8107,8269,8426,8570,8751,8899,9048,9218,9387,9540,9707,9857,10018,10149,10310,10456,10602,10753,10904,11063,11213,11350,11502,11677,11834,12016,12183,12380,12562,12749,12925,13121,13293,13470,13642,13825,14008,14207,14387,14562,14758,14932,15121,15341,15524,15728,15915,16119,16341,16558,16787,17013,17265,17519,17746,18001,18248,18512,18779,19100,19388,19682,19971,20267,20566,20915,21224,21524,21822,22176,22492,22783,23112,23442,23752,24073,24421,24815,25173,25583,25991,26370,26739,27157,27547,27941,28335,28768,29183,29591,30024,30469,30899,31373,31852,32314,32816,33338,33849,34361,34890,35452,35988,36538,37090,37645,38213,38850,39471,40066,40749,41380,42005,42822,43614,44418,45307,46158,47057,47966,48920,49860,50826,51835,52827,53855,54909,55936,57043,58094,59280,60465,61602,62762,64095,65423,66773,68069,69367,70777,72127,73545,74993,76478,77991,79585,81138,82811,84515,86188,87901,89675,91526,93306,95186,97079,99065,101087,103085,105127,107195,109332,111533,113737,115971
1,1,1,3,3,4,5,10,10,10,10,12,13,13,13,14,14,15,15,15,16,17,17,19,20,21,22,22,22,23,23,24,25,29,30,30,33,33,37,37,37,38,38,39,40,41,41,43,43,45,45,45,47,47,48,50,52,54,54,54,54,54,54,54,55,55,56,58,58,60,62,63,66,70,70,70,72,72,78,78,78,80,81,83,84,86,87,89,89,90,91,94,99,101,103,104,108,112,114,115,115,116,117,117,119,123,126,127,129,130,132,133,133,135,136,138,139,140,142,144,145,146,146,147,150,154,156,159,162,167,171,174,178,185,195,201,212,225,232,234,241,248,256,268,274,284,289,296,308,322,331,343,358,376,389,396,414,419,428,449,463,475,485,497,501,504,514,524,534,538,549,553,566,571,577,586,593,601,613,622,633,643,653,661,669,675,688,698,710,716,729,737,756,767,779,785,794,800,812,818,831,837,845,856,869,879,890,900,905,914,922,932,938,944,953,959,975,982,993,1007,1012,1028,1041,1047,1058,1068,1076,1097,1112,1121,1130,1137,1151,1167,1178,1184,1201,1221,1229,1247,1268,1280,1299,1310,1336,1353,1375,1386,1398,1415,1435,1455,1478,1490,1505,1519,1532,1547,1578,1597,1615,1652,1674,1720,1768,1824,1883,1955,2034,2131,2253,2350,2485,2592,2714,2828,2967,3091,3259,3429,3616,3786,3966,4109,4277,4450,4651,4824,4967,5110,5242,5382,5542,5673,5799,5940,6069,6185,6302,6410,6526,6620,6722,6814,6899,7013,7117,7227,7329,7427,7537,7661,7808,7945,8073,8210,8358,8514,8668,8806,8973,9130,9268,9412,9530,9683,9786,9914,10035,10160,10281,10393,10521,10630,10760,10852,10992,11107,11261,11417,11598,11785,11987,12219,12456,12734,13016,13334,13603,13866,14124,14385,14649,14905,15161,15419,15684,15953,16208,16438,16675,16919,17148,17388,17635,17892,18123,18359,18574,18789,18998,19213,19488,19718,19943,20172,20403,20629,20858,21110,21361,21614,21882,22114,22371,22663,22908,23212,23518,23830,24151,24472,24835,25194,25585,25965,26331,26743,27144,27551,27953,28394,28816,29279,29674,30125,30547,30982,31435,31911,32388,32848,33342,33849,34326,34822,35327,35840,36377,36926,37491,38070,38645,39217,39822,40398,41049,41646,42263,42872,43566,44251,44880,45515,46190,46871,47588,48324,49024,49838,50634,51483,52350,53185,54040,54983,55914,56829,57784,58844,59908,61011,62112,63269,64437,65616,66844,68122,69301,70526,71706,73012,74280,75533,76835,78110,79408,80801,82069,83474,84923,86384,87902,89373,90929,92387,93916,95546,97088,98699,100241,101835,103493,105158,106868,108605,110402,112194,114021,115905,117769,119831,121886,124047,126154,128319,130430
1,1,1,1,1,3,3,4,4,5,6,7,9,11,14,16,17,21,24,27,29,34,37,40,41,45,46,49,53,54,57,62,69,72,77,82,86,91,95,102,107,112,117,122,123,126,130,134,139,143,152,156,158,165,171,174,180,185,188,190,193,195,198,204,206,208,211,217,219,222,223,224,225,228,229,233,238,241,243,247,253,256,260,264,269,274,278,280,284,286,291,297,309,315,319,322,327,332,335,341,348,355,364,369,371,373,375,382,385,389,396,400,403,407,409,412,414,415,417,423,426,426,427,435,440,445,446,451,454,458,461,465,469,471,475,476,481,489,496,500,503,507,516,520,526,530,532,537,541,545,550,556,561,568,572,584,590,602,608,615,624,628,633,638,644,650,652,656,665,678,684,687,693,698,704,710,715,720,727,736,742,754,761,765,772,776,786,792,803,808,818,823,831,835,842,850,853,863,868,877,887,891,900,909,917,926,935,947,952,963,973,980,985,993,1002,1009,1017,1030,1043,1055,1066,1079,1087,1099,1109,1119,1129,1140,1153,1166,1175,1186,1196,1207,1218,1235,1241,1248,1264,1274,1286,1300,1306,1313,1326,1340,1346,1350,1356,1366,1378,1388,1399,1410,1417,1426,1431,1443,1448,1463,1476,1490,1498,1515,1521,1531,1540,1551,1563,1569,1578,1583,1596,1606,1625,1636,1651,1662,1670,1680,1686,1697,1715,1724,1730,1737,1750,1758,1769,1791,1802,1813,1829,1837,1847,1856,1867,1877,1890,1905,1914,1927,1940,1955,1971,1979,1986,2004,2012,2026,2035,2049,2067,2080,2088,2097,2112,2123,2145,2160,2176,2191,2207,2225,2233,2251,2264,2274,2286,2298,2310,2324,2342,2366,2391,2411,2425,2438,2447,2460,2479,2503,2523,2538,2553,2571,2585,2604,2616,2629,2650,2678,2699,2732,2752,2773,2798,2822,2850,2877,2909,2932,2956,2978,3003,3032,3062,3099,3135,3161,3193,3214,3248,3271,3297,3319,3347,3371,3397,3421,3448,3479,3510,3540,3572,3602,3640,3660,3685,3700,3722,3746,3764,3785,3803,3822,3835,3852,3874,3902,3925,3943,3960,3993,4003,4011,4026,4047,4069,4091,4104,4124,4144,4164,4172,4196,4210,4227,4241,4257,4278,4290,4309,4324,4339,4346,4353,4359,4370,4383,4396,4407,4416,4427,4442,4452,4466,4479,4489,4503,4518,4534,4548,4559,4569,4582,4598,4611,4616,4633,4646,4659,4668,4680,4694,4702,4718,4731,4744,4752,4767,4780,4799,4808,4823,4838,4854,4866,4882,4905,4919,4934,4954,4974,4995,5017,5042,5060,5075,5091,5105,5120,5137,5163,5172,5193,5212,5233,5257,5274,5299,5320,5345,5363,5388,5423,5462
1,1,1,1,1,3,4,5,5,5,7,7,8,8,9,9,9,9,9,10,11,13,14,16,16,17,17,18,19,24,25,28,33,35,40,43,51,53,59,64,73,82,89,99,106,112,128,137,145,153,160,169,178,194,202,213,223,239,243,261,273,281,288,303,320,333,343,359,375,386,399,411,425,438,456,471,490,509,527,542,556,574,586,605,624,645,660,671,688,708,725,754,770,788,810,836,851,878,892,911,938,953,967,986,1020,1050,1082,1113,1140,1165,1181,1211,1235,1267,1296,1334,1357,1387,1415,1437,1463,1493,1520,1549,1581,1605,1634,1666,1688,1719,1745,1770,1798,1825,1848,1874,1907,1924,1947,1958,1982,2009,2035,2052,2074,2097,2124,2150,2177,2205,2226,2258,2277,2304,2315,2329,2344,2366,2380,2405,2425,2453,2477,2508,2532,2556,2579,2608,2641,2681,2722,2755,2788,2827,2869,2914,2955,2999,3058,3121,3171,3225,3280,3339,3397,3448,3502,3560,3619,3697,3749,3808,3862,3930,3999,4079,4141,4206,4272,4348,4417,4492,4562,4635,4703,4768,4838,4896,4973,5043,5122,5192,5256,5324,5391,5455,5537,5590,5646,5697,5748,5811,5884,5953,6015,6089,6168,6230,6296,6366,6437,6533,6598,6671,6743,6810,6893,6975,7047,7119,7193,7243,7301,7374,7444,7505,7572,7630,7692,7765,7833,7897,7982,8060,8144,8216,8293,8378,8460,8536,8608,8686,8771,8829,8901,8972,9047,9114,9176,9260,9322,9387,9476,9552,9624,9690,9757,9836,9932,10021,10116,10195,10277,10382,10490,10595,10712,10825,10949,11074,11212,11339,11461,11592,11722,11858,11973,12121,12245,12375,12491,12624,12750,12894,13013,13117,13237,13361,13474,13594,13705,13817,13914,14031,14154,14242,14348,14463,14568,14679,14786,14893,15012,15119,15206,15308,15408,15515,15615,15729,15859,15984,16106,16234,16366,16500,16623,16768,16913,17068,17226,17383,17552,17732,17910,18099,18251,18429,18568,18727,18886,19041,19209,19406,19593,19773,19973,20164,20335,20512,20684,20885,21100,21323,21562,21795,22037,22307,22572,22827,23114,23405,23677,23980,24286,24566,24893,25198,25519,25820,26120,26429,26726,27037,27348,27681,28014,28348,28697,29070,29439,29819,30178,30553,31008,31424,31841,32247,32686,33104,33557,34052,34513,34971,35499,36027,36575,37158,37743,38343,38890,39506,40081,40718,41294,41916,42531,43156,43776,44391,45023,45703,46384,47109,47783,48532,49264,50008,50752,51527,52257,53117,53906,54702,55474,56304,57068,57907,58753,59624,60513,61424,62358,63325,64274,65224,66187,67223,68237,69286,70390,71479,72576,73665,74793,75931,77105,78328,79588,80868,82149,83444,84901,86249,87651,89019,90409,91910,93472,95119,96725,98282,99967,101763,103601,105457,107355,109245,111194,113147,115143,117184,119314,121537,123774,126035,128460,130888,133311,135832,138492,141132,143709,146426,149316,152150,155100
1,1,1,1,1,1,3,3,4,4,5,5,7,11,16,17,18,23,24,27,31,36,39,41,43,48,52,57,61,65,68,73,78,88,92,98,105,116,125,133,137,141,147,153,159,170,176,181,191,197,204,207,214,220,227,243,249,280,304,323,339,349,367,424,487,536,603,674,762,862,971,1077,1187,1304,1406,1522,1651,1755,1844,1938,2041,2143,2236,2324,2425,2522,2615,2706,2841,2955,3066,3187,3329,3475,3642,3826,4005,4183,4374,4534,4708,4875,5031,5208,5366,5531,5698,5863,6000,6163,6319,6455,6610,6764,6933,7084,7239,7436,7630,7796,7998,8154,8317,8479,8652,8826,9000,9181,9353,9525,9740,9936,10130,10343,10574,10799,11018,11254,11461,11689,11914,12132,12383,12609,12852,13102,13384,13666,13964,14251,14528,14789,15108,15443,15764,16128,16471,16808,17194,17574,17964,18328,18693,19067,19458,19844,20267,20621,21023,21423,21832,22254,22647,23092,23578,24046,24561,25066,25618,26180,26775,27380,27973,28574,29231,29907,30595,31284,31999,32753,33481,34172,34903,35635,36380,37091,37819,38575,39326,40112,40882,41644,42408,43180,43991,44816,45643,46497,47381,48272,49185,50173,51180,52234,53225,54268,55341,56474,57680,58902,60177,61468,62740,64049,65468,66759,68101,69427,70803,72231,73646,75088,76674,78203,79782,81446,83145,85000,86805,88736,90622,92551,94651,96726,98815,100913,103127,105405,107518,109709,111869,114195,116527,118765,121003,123418,125720,128188,130604,133038,135535,138125,140749,143415,146115,148847,151692,154591,157484,160483,163577,166647,169870,173268,176570,179969,183460,187080,190771,194518,198272,202229,206213,210155,214424,218628,222943,227175,231678,236181,240667,245182,249690,254280,259045,263873,268805,273822,279056,284276,289679,295010,300573,306090,311695,317410,323327,329378,335342,341496,347665,353953,360225,366657,373085,379593,386233,393108,400133,407333,414646,422031,429350,436926,444596,452381,460107,467976,475949,484075,492373,500873,509260,517736,526372,535086,544043,552921,562208,571584,581103,590642,600343,609975,619890,629848,639961,650312,660421,670802,681356,691881,702746,713434,724418,735591,746783,758392,769880,781525,793378,805175,817043,829289,841399,853805,866241,878580,891270,904035,916757,929857,942825,956137,969246,982441,995951,1009637,1023442,1037498,1051827,1066033,1080733,1095451,1110454,1125505,1141022,1156384,1171951,1187515,1203063,1219190,1235314,1251807,1268222,1285033,1302156,1319341,1336757,1354397,1372272,1390112,1408031,1426229,1444527,1462848,1481515,1500215,1518883,1537833,1556583,1575361,1594571,1613818,1633388,1653124,1672996,1692846,1712928,1733125,1753465,1773939,1794373,1815203,1836304,1857333,1878388,1899813,1921114,1942563,1964146,1985924,2007921,2029855,2052006,2073923,2095913,2117996,2140242,2162457,2185150,2207652,2230255,2252902,2275815,2298761,2321800,2344972,2368543,2392050,2415436,2439271,2463171,2487233,2511685,2535988,2560549,2585005,2609719,2634543,2659647,2684748,2709750,2734811,2760141,2785566,2811533,2837065,2863015,2889121,2915209,2941029,2967076,2993263,3019407,3045786,3071993,3098404,3124800,3151714,3178612,3205551,3232554,3259817,3287148,3314457,3342030,3369743,3397300,3424920,3452566,3480163,3508163,3535858,3563958,3592238,3620575
1,1,1,1,1,3,5,6,6,6,6,6,8,8,8,8,10,10,11,15,17,17,20,21,24,27,29,33,37,43,44,50,52,61,68,73,76,84,89,95,105,112,119,130,144,154,161,172,180,195,200,211,230,246,257,271,288,301,310,323,338,349,365,384,397,408,420,429,443,457,473,481,492,502,510,523,534,546,552,560,564,575,581,583,589,601,609,616,620,628,637,642,653,664,675,680,688,695,708,721,739,761,776,798,836,867,901,931,956,993,1027,1065,1100,1140,1188,1229,1282,1334,1375,1435,1489,1545,1597,1641,1689,1740,1803,1861,1911,1969,2022,2082,2149,2204,2262,2333,2404,2458,2519,2586,2672,2731,2814,2896,2970,3054,3130,3198,3286,3368,3438,3525,3601,3693,3786,3867,3971,4069,4154,4249,4347,4436,4541,4645,4741,4845,4945,5044,5159,5261,5358,5449,5551,5653,5767,5852,5968,6086,6200,6309,6432,6566,6689,6826,6941,7095,7231,7382,7525,7675,7824,8005,8142,8301,8453,8597,8769,8935,9091,9254,9422,9601,9790,9963,10162,10339,10514,10692,10912,11116,11316,11505,11722,11940,12147,12347,12557,12766,12981,13215,13425,13663,13921,14198,14480,14782,15081,15375,15678,16005,16312,16627,16962,17306,17654,18045,18451,18825,19212,19640,20055,20501,20959,21417,21933,22473,23007,23539,24090,24659,25218,25803,26396,26946,27533,28102,28751,29377,29986,30574,31240,31891,32575,33248,33864,34502,35172,35836,36568,37267,38062,38803,39531,40310,41127,41927,42757,43564,44375,45216,46085,46988,47879,48871,49862,50853,51860,52962,54044,55171,56336,57567,58790,60060,61310,62598,63972,65348,66755,68226,69681,71153,72573,74091,75586,77152,78834,80438,82127,83855,85556,87420,89225,91138,93045,95067,97046,99171,101331,103486,105657,107931,110195,112618,114991,117512,119987,122532,125127,127729,130348,132971,135671,138405,141227,144109,147021,150096,153082,156249,159366,162565,165850,169135,172548,176024,179525,183102,186824,190646,194388,198136,202059,206049,210095,214309,218717,223111,227472,231846,236257,240967,245609,250387,255223,260224,265254,270316,275538,280897,286320,291844,297370,303019,308765,314583,320733,326756,332918,339139,345462,351892,358384,364848,371452,378154,384945,391803,398627,405690,412624,419721,426826,434152,441621,449301,456806,464524,472372,480290,488225,496435,504803,513576,522228,531092,539900,548859,558144,567518,576933,586541,596280,606224,616403,626754,637071,647789,658431,669242,680042,691054,702248,713337,724691,736097,748087,760292,772310,784527,796907,809317,821817,834656,847637,860644,874013,887795,901442,915430,929547,944113,958516,972969,987747,1002509,1017588,1032857,1048112,1063407,1078896,1094522,1110221,1126244,1142471,1158821,1175206,1191488,1208187,1224895,1241851,1258841,1276337,1293760,1311438,1329196,1347017,1364890,1383068,1401265,1419546,1438112,1456827,1475203,1494067,1512968,1532030,1551373,1570835,1590348,1610215,1630042,1649725,1669597,1689791,1709924,1730272,1750936,1771473,1792285,1813089,1834107,1855206,1876165,1897656,1919183,1940537
1,1,1,1,1,1,1,3,3,4,7,7,9,9,9,9,12,14,16,17,19,21,23,24,24,31,32,35,37,38,39,41,43,47,54,56,57,57,60,69,74,82,87,92,99,106,113,120,130,140,157,179,194,216,232,245,269,294,323,360,396,422,448,485,516,551,584,620,653,703,749,796,836,890,935,980,1034,1083,1130,1191,1242,1294,1342,1390,1426,1476,1522,1571,1613,1650,1705,1749,1791,1842,1893,1948,1991,2034,2071,2127,2182,2231,2279,2325,2373,2415,2470,2511,2580,2640,2683,2742,2810,2863,2922,2988,3048,3120,3200,3271,3343,3415,3482,3552,3646,3722,3794,3882,3993,4090,4185,4267,4372,4455,4559,4664,4774,4895,4998,5123,5269,5398,5537,5650,5790,5926,6073,6228,6382,6549,6734,6890,7077,7250,7425,7626,7857,8080,8350,8614,8880,9168,9480,9770,10030,10321,10622,10888,11156,11471,11754,12001,12274,12553,12812,13095,13375,13631,13895,14170,14412,14685,15025,15359,15664,15990,16348,16716,17092,17507,18020,18544,19029,19537,20105,20614,21181,21764,22388,22994,23572,24186,24806,25421,26063,26706,27316,27913,28500,29134,29770,30396,31056,31685,32319,32964,33602,34290,34998,35691,36375,37045,37802,38549,39267,39998,40717,41558,42403,43271,44111,44992,45894,46832,47778,48791,49726,50763,51797,52813,53913,55091,56213,57361,58520,59641,60796,62068,63364,64595,65783,67133,68475,69853,71233,72672,74120,75579,77128,78633,80219,81838,83464,85076,86705,88412,90205,92068,93892,95724,97696,99747,101846,103956,106042,108190,110427,112651,114962,117303,119603,121921,124308,126834,129451,132084,134676,137351,140028,142971,145884,148897,151801,154832,157891,160993,164191,167359,170609,173943,177365,180753,184333,187929,191566,195199,198876,202770,206600,210587,214570,218673,222804,227061,231264,235700,240118,244668,249239,253875,258554,263304,268118,272894,277871,282957,288103,293295,298548,303963,309310,314823,320478,326141,332050,337918,343776,349745,355748,362019,368293,374765,381289,387811,394511,401137,408062,414868,421890,428900,436103,443205,450396,457617,465057,472758,480209,488147,495929,504226,512425,520692,529060,537562,546314,555122,564021,573072,582042,591252,600576,610153,619802,629616,639716,649634,659809,670196,680525,690897,701626,712546,723476,734659,745936,757131,768815,780341,792042,803880,816075,828308,840888,853592,866630,879453,892556,905772,918998,932229,945615,959259,973155,987085,1001303,1015476,1029736,1044244,1059118,1074202,1089190,1104375,1119999,1135505,1151411,1167439,1183498,1199608,1216197,1232800,1249530,1266736,1283947,1301449,1319227,1337043,1354780,1372799,1390968,1409229,1427787,1446433,1465369,1484559,1503832,1523214,1542880,1562550,1582661,1602755,1622887,1643268,1663856,1684501,1705498,1726735,1747771,1769040,1790590,1812238,1834216,1856353,1878657,1900818,1923147,1945458,1968285,1991079,2013874,2037218,2060436,2083591,2106757,2130007,2153626,2177027,2200690,2224070,2247583,2271393,2295390,2319347,2343303,2367507,2391744,2415836,2440164,2464514,2489217,2514017,2538937,2563871,2589187,2614364,2639742,2665070,2690599,2716204,2742217,2767999,2794045,2820400,2846749,2873570,2899910,2926299,2953584
1,1,1,1,1,1,2,2,2,2,3,3,3,4,6,7,7,8,9,10,14,15,17,17,18,20,21,23,26,27,31,31,34,37,41,43,50,55,59,60,62,66,72,75,79,83,89,93,98,101,103,108,112,116,118,125,129,132,135,138,143,147,152,152,154,156,159,163,166,169,173,176,177,179,180,185,188,188,190,192,193,195,197,198,199,200,200,203,203,203,204,206,209,210,212,214,215,218,220,222,226,229,229,234,237,240,240,246,251,259,267,271,274,276,278,282,288,291,296,300,304,306,312,317,322,328,337,347,350,358,364,369,373,383,388,394,402,404,415,417,430,438,444,447,454,459,464,468,474,488,493,496,502,511,522,528,533,539,543,550,554,561,572,581,588,595,596,600,609,617,626,629,633,642,650,662,668,674,681,686,689,695,702,705,711,716,725,730,736,739,747,752,764,772,780,786,792,800,803,811,814,823,833,843,852,866,873,884,892,902,914,927,936,947,956,962,969,977,984,1002,1007,1017,1027,1033,1038,1045,1053,1055,1060,1065,1076,1082,1084,1090,1100,1109,1116,1119,1124,1134,1139,1144,1148,1153,1161,1165,1167,1175,1182,1188,1194,1197,1203,1209,1217,1224,1227,1228,1235,1245,1247,1259,1266,1271,1280,1283,1290,1294,1299,1310,1324,1336,1346,1349,1358,1368,1380,1386,1395,1405,1411,1424,1430,1440,1451,1460,1469,1473,1477,1486,1498,1511,1521,1532,1537,1547,1558,1574,1579,1583,1586,1605,1614,1620,1635,1647,1664,1676,1687,1701,1713,1724,1731,1736,1745,1756,1768,1778,1795,1807,1825,1845,1857,1874,1883,1898,1908,1926,1945,1971,1985,2005,2017,2037,2048,2066,2082,2098,2113,2128,2146,2166,2179,2197,2206,2221,2231,2243,2258,2271,2285,2304,2314,2323,2337,2351,2366,2381,2391,2403,2409,2421,2428,2439,2453,2466,2475,2488,2501,2511,2525,2538,2549,2570,2582,2599,2608,2630,2645,2660,2676,2692,2712,2726,2747,2762,2783,2805,2826,2845,2869,2885,2906,2928,2947,2969,2994,3015,3033,3056,3086,3110,3134,3174,3211,3248,3276,3315,3369,3426,3483,3537,3616,3701,3800,3905,4022,4122,4221,4332,4441,4554,4659,4762,4861,4960,5048,5145,5235,5332,5424,5494,5563,5656,5729,5841,5931,6027,6146,6265,6376,6464,6555,6665,6779,6900,7059,7206,7349,7507,7647,7827,8021,8211,8423,8651,8828,9038,9268,9462,9655,9881,10098,10321,10527,10736,10953,11175,11402,11643,11879,12101,12388,12637,12904,13160,13426,13687,13948,14240,14548,14847,15138,15414,15731,16077,16392,16728,17092,17467,17817,18234,18622,19025,19457,19873,20329
1,1,1,3,5,5,5,6,6,8,9,12,17,20,22,24,24,26,31,36,42,45,50,59,61,65,70,72,81,85,87,95,102,110,118,132,141,149,158,162,167,175,185,192,198,204,208,226,239,249,262,280,293,307,320,335,343,353,364,380,392,407,421,434,450,472,491,505,523,534,546,555,571,598,619,642,652,672,689,711,728,753,764,778,805,827,838,864,885,911,937,957,976,994,1016,1036,1050,1067,1084,1098,1120,1131,1145,1162,1178,1202,1219,1232,1247,1258,1274,1290,1301,1312,1320,1336,1348,1363,1380,1387,1395,1406,1414,1422,1436,1443,1459,1471,1480,1492,1498,1507,1519,1526,1531,1541,1549,1558,1563,1572,1578,1585,1597,1603,1611,1620,1630,1637,1650,1664,1683,1695,1710,1722,1737,1750,1767,1781,1793,1812,1828,1839,1847,1859,1872,1897,1910,1927,1946,1962,1978,2005,2020,2043,2061,2082,2098,2117,2136,2156,2188,2201,2222,2243,2276,2301,2327,2353,2371,2397,2435,2474,2507,2537,2560,2586,2619,2646,2670,2707,2736,2774,2801,2834,2868,2906,2937,2983,3035,3086,3156,3207,3291,3370,3445,3531,3612,3706,3782,3864,3928,3993,4082,4161,4230,4304,4377,4467,4540,4626,4702,4793,4887,5002,5107,5221,5314,5409,5536,5635,5734,5835,5923,6029,6127,6227,6316,6408,6481,6559,6633,6710,6786,6854,6933,7037,7096,7164,7224,7296,7355,7426,7489,7551,7610,7675,7739,7802,7862,7911,7974,8030,8084,8145,8210,8254,8316,8384,8442,8495,8549,8597,8652,8699,8761,8803,8862,8908,8949,9001,9034,9082,9145,9198,9245,9297,9349,9387,9434,9482,9541,9609,9658,9725,9793,9893,9984,10079,10191,10309,10451,10585,10718,10878,11031,11196,11358,11504,11637,11752,11890,12002,12135,12281,12407,12532,12666,12770,12880,12985,13100,13220,13340,13458,13596,13736,13864,14016,14149,14279,14431,14613,14785,14944,15111,15330,15505,15693,15894,16118,16347,16600,16851,17116,17381,17645,17901,18196,18501,18746,19035,19322,19613,19868,20160,20476,20788,21132,21470,21787,22125,22466,22844,23220,23571,23961,24361,24737,25076,25491,25880,26294,26734,27134,27562,27993,28410,28807,29215,29645,30082,30563,31072,31564,32031,32521,33012,33525,34071,34610,35137,35712,36291,36833,37338,37946,38529,39120,39711,40374,41066,41743,42404,43050,43720,44448,45126,45863,46569,47267,48026,48768,49505,50257,51076,51922,52747,53580,54351,55231,56078,56917,57802,58659,59517,60394,61338,62204,63142,64124,65114,66065,67050,68064,69149,70228,71296,72352,73482,74661,75838,77086,78288,79482,80708,81912,83152,84435,85744,87017,88340,89674,91117,92518,93931,95365,96867,98322,99828,101374,102970,104634,106269,108028,109741,111627,113472,115405,117450,119375,121361,123404,125474,127546,129715,131801,133946,136116,138314,140545,142700,144988,147230,149608,152098,154504,157014
1,1,1,1,2,2,2,4,5,5,6,8,8,8,8,8,9,11,13,16,17,21,23,28,29,31,36,39,43,47,56,60,63,67,73,77,80,86,91,96,101,104,110,113,117,122,128,129,135,140,143,144,145,149,156,161,167,171,174,177,180,182,185,189,194,200,210,218,225,228,239,244,245,251,256,261,268,274,280,286,297,305,314,318,329,338,349,355,364,377,394,404,417,425,438,449,457,464,473,484,493,508,524,539,551,561,567,582,601,612,625,641,661,680,696,712,727,748,765,785,803,827,845,862,885,914,938,966,998,1029,1064,1093,1121,1155,1178,1210,1235,1271,1311,1345,1373,1412,1461,1484,1521,1561,1585,1625,1664,1692,1743,1793,1832,1877,1916,1956,2006,2042,2087,2126,2179,2226,2281,2344,2403,2448,2497,2540,2596,2639,2684,2747,2804,2862,2923,2984,3045,3125,3197,3266,3329,3415,3484,3562,3655,3740,3832,3924,4013,4114,4204,4295,4394,4503,4625,4730,4845,4974,5124,5263,5420,5565,5736,5876,6048,6209,6376,6524,6659,6827,6990,7170,7348,7555,7750,7931,8133,8370,8577,8808,9027,9257,9508,9748,9985,10274,10529,10804,11096,11403,11685,12001,12315,12600,12880,13185,13506,13785,14117,14434,14730,15037,15352,15680,16014,16296,16630,16926,17211,17530,17841,18153,18499,18819,19140,19448,19786,20067,20371,20648,20983,21304,21629,21928,22216,22544,22901,23242,23541,23852,24192,24476,24797,25147,25509,25875,26179,26497,26876,27254,27610,28006,28457,28920,29402,29945,30521,31056,31592,32122,32632,33183,33786,34405,35020,35620,36251,36918,37556,38156,38827,39510,40226,40941,41695,42459,43259,44036,44875,45707,46572,47475,48375,49256,50159,51064,51979,52903,53841,54809,55701,56574,57527,58477,59351,60247,61169,62121,63056,64026,64972,65973,66946,67900,68937,69898,70996,72030,73136,74256,75404,76570,77641,78842,80177,81510,82896,84327,85795,87274,88717,90266,91756,93292,94872,96485,98144,99850,101556,103277,105137,106917,108811,110750,112696,114730,116891,119022,121145,123374,125690,128047,130459,132872,135339,137858,140373,142975,145654,148378,151152,153869,156713,159646,162580,165457,168395,171410,174479,177567,180737,183973,187179,190433,193704,197041,200496,203878,207263,210709,214201,217819,221394,224967,228581,232375,236256,240131,244041,248098,252141,256273,260611,264833,269132,273562,278144,282762,287480,292201,297167,302155,307168,312397,317669,323094,328557,334183,339854,345553,351406,357306,363321,369439,375760,382211,388648,395126,401801,408423,415220,422106,429173,436453,443611,450870,458390,465809,473315,481108,488892,496685,504560,512631,520920,529136,537571,546006,554403,562939,571634,580607,589622,598719,607924,617318,626917,636367,646222,656098,666082,676351,686894,697649,708478,719318,730428,741690,753101,764556,776543,788363,800602,812883,825266,837775,850672,863618,876680,890224,903695,917396,931198,944978,959074,973197,987576
1,1,1,1,2,7,10,14,22,28,32,34,47,60,77,91,103,123,150,183,217,243,288,327,378,437,489,531,578,627,676,725,767,802,844,877,919,951,982,1015,1045,1062,1093,1127,1154,1183,1210,1234,1256,1285,1319,1337,1356,1378,1414,1452,1488,1527,1566,1615,1651,1703,1756,1803,1860,1916,1982,2032,2091,2152,2223,2273,2317,2370,2418,2464,2516,2554,2605,2651,2691,2730,2778,2807,2846,2882,2913,2943,2983,3013,3038,3064,3095,3120,3139,3176,3196,3211,3230,3252,3273,3290,3306,3321,3337,3352,3371,3386,3401,3410,3424,3432,3443,3461,3470,3484,3496,3507,3517,3526,3533,3540,3556,3565,3577,3588,3602,3617,3628,3636,3644,3650,3657,3670,3679,3691,3700,3709,3723,3735,3750,3754,3773,3782,3796,3805,3815,3827,3841,3852,3871,3894,3921,3936,3948,3973,3995,4011,4032,4059,4086,4100,4116,4133,4148,4171,4188,4211,4235,4258,4277,4303,4332,4359,4395,4418,4439,4467,4499,4534,4568,4604,4629,4661,4698,4742,4786,4821,4853,4891,4945,4986,5030,5076,5114,5161,5205,5253,5294,5340,5411,5457,5497,5544,5594,5634,5687,5746,5804,5868,5931,5987,6056,6128,6188,6256,6328,6399,6479,6569,6666,6765,6844,6931,7044,7162,7279,7390,7511,7616,7729,7855,7961,8053,8183,8308,8436,8555,8669,8802,8904,9032,9161,9279,9401,9513,9621,9741,9848,9947,10087,10210,10324,10454,10566,10708,10833,10953,11067,11188,11291,11394,11521,11650,11780,11899,12020,12160,12321,12461,12606,12766,12930,13064,13205,13358,13474,13632,13787,13956,14100,14244,14403,14588,14747,14915,15086,15308,15501,15677,15855,16079,16292,16494,16726,16975,17246,17501,17791,18083,18368,18642,18948,19267,19603,19960,20346,20674,21026,21393,21757,22106,22454,22810,23171,23511,23856,24182,24559,24932,25322,25693,26135,26557,26996,27444,27949,28394,28864,29358,29849,30386,30930,31460,32011,32589,33175,33791,34364,34924,35489,36074,36566,37147,37709,38260,38841,39403,39958,40508,41103,41694,42276,42896,43475,44119,44789,45484,46190,46925,47674,48417,49259,50123,50994,51888,52827,53752,54842,55879,56915,58034,59140,60273,61335,62524,63732,64961,66239,67522,68855,70222,71476,72811,74176,75608,77034,78487,80005,81450,82934,84493,86056,87701,89241,90898,92455,93997,95569,97159,98835,100539,102159,103892,105604,107397,109265,111146,113050,115038,116966,118951,121000,123118,125270,127475,129814,132306,134651,137130,139629,142209,144972,147710,150490,153270,156207,159146,162175,165251,168377,171548,174751,177983,181333,184679,188029,191496,194963,198397,201979,205492,209083,212753,216450,220168,223964,227879,231857,235899,239996,244168,248398,252680,257117,261568,266013,270717,275439,280312,285099,290029,295056,300013,305050,310158,315452,320738,326063,331521,337179,342788,348368,354178,359887,365761,371750,377740,383811,390026,396357,402690,409146,415611,422199,429070,435980,443012,450058,457290,464486,471959,479326,486879,494803,502698,510701
1,1,2,2,5,10,10,11,15,17,19,21,21,26,27,31,38,39,42,44,48,51,56,60,62,65,66,67,70,73,78,84,88,90,95,97,102,107,116,121,131,139,144,148,158,162,171,178,183,187,201,209,216,225,236,243,247,255,257,263,268,275,283,289,291,299,303,306,313,320,328,332,339,346,352,353,360,363,370,378,380,384,393,398,399,403,410,413,417,422,431,438,442,449,450,456,459,466,470,476,478,490,492,494,502,506,508,517,524,531,541,550,555,564,569,579,584,591,595,602,611,621,630,643,656,670,687,700,720,733,753,765,785,802,814,833,856,868,887,903,920,935,954,984,1003,1023,1045,1071,1094,1119,1140,1164,1189,1214,1243,1273,1304,1326,1354,1389,1416,1460,1497,1534,1564,1597,1624,1654,1688,1717,1757,1804,1849,1893,1946,1996,2042,2078,2114,2156,2204,2259,2304,2343,2399,2449,2489,2533,2594,2648,2701,2769,2826,2870,2919,2964,3019,3077,3132,3184,3232,3279,3320,3363,3407,3452,3503,3561,3611,3670,3714,3762,3816,3872,3931,3979,4047,4111,4198,4260,4320,4378,4435,4483,4535,4587,4639,4727,4789,4852,4914,4988,5050,5101,5167,5221,5271,5332,5394,5441,5508,5572,5633,5704,5772,5835,5904,5965,6043,6108,6202,6292,6385,6466,6574,6707,6805,6930,7083,7227,7402,7561,7716,7890,8093,8272,8462,8664,8839,9060,9273,9469,9675,9914,10156,10392,10636,10867,11107,11323,11575,11819,12086,12393,12721,13018,13342,13701,14059,14392,14731,15058,15407,15762,16102,16436,16798,17173,17514,17867,18217,18555,18883,19271,19647,20050,20415,20811,21198,21590,21986,22403,22808,23246,23681,24113,24564,25002,25451,25847,26335,26853,27312,27825,28331,28854,29432,29993,30598,31156,31754,32358,32962,33554,34186,34844,35501,36167,36851,37605,38342,39023,39741,40496,41206,42013,42841,43627,44378,45218,46082,46996,47841,48833,49743,50769,51733,52717,53656,54673,55749,56852,57934,59051,60160,61318,62492,63694,64911,66096,67346,68644,70019,71421,72822,74266,75730,77228,78723,80262,81844,83454,85102,86696,88430,90105,91837,93499,95271,97034,98826,100711,102610,104563,106628,108603,110616,112736,114859,116960,119149,121338,123739,126027,128354,130721,133132,135663,138187,140761,143353,145968,148755,151642,154527,157444,160364,163407,166462,169684,172793,175994,179319,182773,186275,189939,193603,197317,201127,204960,208808,212916,217028,221335,225668,230271,234947,239713,244546,249356,254239,259170,264239,269364,274521,279722,285037,290377,295866,301543,307057,312634,318496,324245,330174,336319,342554,348948,355302,361836,368358,374951,381749,388660,395795,402907,410085,417333,424743,432144,439413,446869,454455,462003,469576,477231,484982,492880,500680,508537,516609,525020,533447,541704,550117,558783,567569,576395,585625,594615,603956,613428,623111,632752,642217,652214,662129
1,1,1,1,2,2,5,7,8,9,9,9,10,11,14,16,20,20,21,21,26,30,35,37,39,40,45,47,51,55,61,65,72,76,85,89,91,94,102,109,115,117,121,126,129,137,140,144,145,147,149,153,158,162,164,167,170,175,178,180,183,183,185,189,191,193,193,197,199,199,199,201,205,209,210,210,212,214,216,218,218,220,222,224,228,228,230,233,234,236,243,246,250,253,253,256,259,263,266,271,275,278,281,283,286,292,298,304,314,320,324,327,335,342,348,354,362,366,373,384,388,393,401,413,422,429,438,452,458,467,480,483,485,487,500,517,532,550,570,586,610,631,657,677,697,724,750,780,800,837,881,914,949,982,1025,1077,1118,1163,1219,1271,1321,1367,1427,1491,1546,1604,1678,1738,1812,1880,1957,2030,2127,2220,2307,2392,2477,2583,2692,2797,2918,3044,3181,3307,3445,3592,3709,3874,4031,4203,4352,4504,4688,4855,5027,5192,5368,5560,5736,5911,6072,6255,6429,6643,6865,7059,7279,7497,7722,7938,8151,8375,8621,8878,9123,9391,9652,9979,10242,10546,10861,11136,11449,11746,12033,12310,12597,12939,13250,13605,13954,14303,14644,14973,15312,15657,16020,16378,16739,17122,17513,17905,18267,18673,19134,19564,19995,20456,20943,21428,21926,22457,22932,23420,23938,24439,24953,25525,26094,26643,27199,27772,28392,29078,29669,30324,31029,31688,32326,33037,33755,34468,35147,35869,36586,37362,38100,38876,39720,40550,41410,42243,43097,43968,44801,45650,46525,47396,48316,49190,50086,51070,52036,52978,53931,54936,55956,56936,57955,59023,60145,61277,62489,63736,64959,66155,67461,68777,70100,71389,72756,74155,75553,76965,78369,79845,81355,82873,84401,86017,87676,89371,91105,92762,94445,96265,98202,100143,102070,104077,106252,108377,110652,112937,115186,117609,120048,122534,125101,127714,130332,132939,135702,138489,141408,144409,147416,150400,153427,156675,159850,163199,166568,170064,173505,177070,180690,184344,187980,191762,195640,199499,203545,207696,211899,216272,220748,225231,229904,234631,239481,244416,249395,254462,259694,264944,270219,275596,280965,286543,292050,297720,303440,309101,314975,320709,326641,332640,338641,344903,351262,357641,364156,370825,377519,384411,391236,398431,405678,413004,420204,427711,435278,442965,450805,458691,466818,475058,483406,491811,500428,509228,518193,527133,536348,545891,555523,565315,575434,585434,595530,605671,616285,627043,637864,648915,659977,671245,682772,694424,706114,717695,729588,741913,754214,766450,779306,792303,804957,818066,831289,844805,858388,872111,885765,899615,913917,928130,942528,957050,971787,986659,1001685,1016912,1032505,1047970,1063677,1079344,1095435,1111616,1128045,1144785,1161661,1178460,1195662,1212988,1230476,1247971,1265909,1283720,1301584,1319574,1337828,1356106,1374429,1392548,1410985,1429879,1448775,1467711,1486732,1505501,1524669,1543968,1563921,1583993,1603934,1624386,1644770,1665376,1686099,1706916,1727966,1749033,1770464,1792135,1813945
1,1,3,3,3,4,5,6,6,8,8,8,8,9,10,10,11,13,14,15,16,17,18,20,21,25,28,29,30,30,34,37,39,42,43,48,52,55,55,59,61,64,67,74,78,79,86,87,90,95,97,105,107,110,117,125,128,132,138,143,148,154,158,165,169,173,177,178,182,190,195,196,200,205,206,210,215,216,218,223,232,237,240,244,250,251,255,262,265,267,270,277,287,290,294,301,306,310,314,320,326,331,337,345,350,357,365,372,378,381,385,389,396,399,404,406,415,419,420,425,430,436,440,444,448,458,470,478,488,492,498,509,517,525,533,539,550,558,571,586,595,606,621,641,660,668,682,694,707,716,730,749,759,763,775,794,813,825,842,858,867,876,891,907,928,936,949,959,972,987,1000,1020,1045,1062,1076,1096,1118,1143,1162,1190,1210,1225,1249,1270,1286,1320,1339,1368,1390,1409,1429,1456,1487,1509,1531,1559,1594,1623,1654,1687,1721,1756,1780,1814,1836,1864,1888,1914,1937,1974,2008,2038,2066,2088,2116,2163,2206,2261,2327,2397,2478,2565,2657,2761,2837,2922,3042,3141,3229,3333,3441,3537,3636,3717,3800,3891,3976,4058,4130,4213,4279,4356,4444,4516,4606,4692,4780,4864,4948,5042,5126,5220,5300,5380,5468,5547,5637,5722,5812,5920,5997,6093,6179,6254,6357,6441,6545,6643,6742,6834,6915,7003,7122,7216,7320,7428,7513,7604,7696,7800,7907,8007,8123,8218,8318,8442,8561,8679,8793,8908,9023,9144,9290,9415,9555,9701,9886,10058,10235,10445,10682,10924,11188,11459,11710,11975,12263,12534,12806,13080,13348,13647,13971,14259,14585,14903,15234,15602,15972,16307,16719,17109,17573,18036,18500,18956,19446,19926,20429,20936,21468,22016,22537,23114,23610,24140,24679,25202,25771,26315,26844,27421,27945,28518,29082,29608,30162,30730,31263,31823,32388,32951,33464,34024,34558,35100,35658,36218,36770,37389,37928,38498,39087,39669,40308,40979,41618,42278,42976,43662,44407,45132,45899,46665,47414,48182,48940,49755,50572,51463,52422,53334,54251,55257,56227,57179,58175,59134,60165,61305,62405,63577,64695,65856,67036,68222,69421,70675,71919,73189,74532,75876,77193,78470,79839,81231,82673,84218,85742,87301,88982,90660,92426,94238,96161,98178,100228,102221,104178,106225,108262,110343,112444,114639,116828,119047,121344,123643,125962,128338,130793,133295,135853,138466,141095,143787,146535,149468,152416,155362,158330,161378,164530,167771,171064,174395,177695,181102,184660,188208,191810,195446,199082,202907,206722,210775,214749,218699,222751,226867,231066,235303,239736,244229,248861,253484,258129,262992,267853,272858,277835,282941,288151,293404,298665,304059,309451,314852,320428,326030,331684,337563,343563,349575,355685,362047,368325,374714,381165,387644,394322,401051,408025,414989,422085,429186,436375
1,1,1,2,3,4,4,4,5,5,8,11,12,16,18,22,23,23,24,26,30,30,35,38,43,43,50,51,52,59,65,71,73,77,86,86,93,100,101,109,111,120,124,134,141,147,152,162,173,184,195,202,209,221,233,242,251,258,266,274,280,291,296,306,318,328,338,359,371,386,400,415,431,446,456,471,494,519,550,579,596,629,665,712,761,823,912,1001,1109,1216,1324,1426,1517,1633,1748,1850,1964,2071,2162,2247,2331,2401,2470,2557,2626,2696,2754,2808,2907,2975,3054,3128,3215,3312,3422,3524,3661,3800,3931,4074,4206,4350,4503,4641,4744,4866,4991,5133,5269,5392,5493,5615,5714,5840,5932,6042,6149,6258,6355,6433,6534,6656,6726,6823,6931,7031,7118,7229,7318,7396,7477,7559,7653,7757,7839,7924,8002,8088,8162,8232,8323,8403,8485,8571,8641,8728,8811,8891,8968,9053,9119,9197,9270,9339,9399,9489,9566,9649,9725,9801,9873,9948,10035,10105,10153,10226,10302,10381,10464,10560,10657,10731,10819,10901,10996,11091,11168,11261,11362,11466,11574,11681,11797,11929,12052,12194,12319,12474,12606,12752,12911,13053,13203,13371,13534,13683,13855,14008,14190,14366,14513,14665,14826,15005,15171,15316,15493,15676,15838,16042,16235,16421,16563,16747,16939,17142,17337,17545,17768,18000,18209,18422,18655,18895,19134,19358,19622,19875,20119,20383,20628,20897,21191,21475,21747,22054,22369,22678,23024,23347,23665,24008,24347,24712,25083,25459,25817,26237,26656,27075,27540,27957,28432,28918,29363,29842,30337,30869,31317,31806,32290,32783,33257,33768,34249,34750,35271,35816,36354,36905,37465,38048,38626,39230,39900,40544,41189,41865,42505,43260,43968,44746,45498,46334,47148,48032,48871,49781,50667,51633,52559,53493,54420,55374,56335,57328,58303,59342,60361,61381,62479,63497,64621,65732,66852,67987,69176,70462,71720,73088,74366,75708,77137,78558,79970,81485,83092,84576,86173,87840,89558,91255,92983,94748,96520,98295,100151,102051,103934,105859,107758,109642,111586,113595,115516,117563,119627,121825,123937,126091,128246,130504,132803,135277,137797,140376,142970,145570,148149,150833,153575,156323,159119,161916,164778,167727,170634,173494,176565,179536,182673,185819,189052,192276,195669,199142,202609,206097,209728,213378,217062,220873,224694,228588,232412,236571,240712,244862,248987,253202,257627,261984,266362,270867,275368,280052,284684,289520,294349,299291,304217,309350,314454,319486,324759,330085,335594,341117,346825,352483,358055,363780,369635,375638,381740,387749,393757,399925,406245,412569,419004,425419,432059,438631,445353,451941,458781,465490,472425,479448,486415,493480,500660,507936,515243,522708,530171,537800,545462,553426,561298,569375,577619,585793,594127,602629,611346,620126,628892,637914,647055,656268,665720,675232,684883,694635,704816,715038,725350,735897,746427,757250,768202,779169,790189,801522,813062,824915,836542,848373,860496,872789,885173,897654,910565,923488,936500,949850,963042,976552,990008,1003703,1017712,1031862,1046162,1060772,1075355
1,1,1,3,5,5,6,7,8,9,10,13,14,15,20,21,21,22,23,26,28,31,35,35,37,41,49,52,56,59,62,69,77,82,83,88,93,98,104,106,110,115,123,129,134,142,144,147,150,152,156,163,170,178,191,198,210,234,250,270,301,326,359,401,424,443,477,523,555,608,642,676,709,747,785,818,855,890,925,975,1020,1063,1102,1145,1177,1218,1250,1297,1331,1374,1428,1468,1516,1561,1611,1646,1698,1761,1816,1879,1955,2025,2117,2196,2282,2365,2430,2511,2577,2660,2737,2820,2919,3003,3097,3202,3300,3400,3495,3596,3684,3781,3866,3964,4058,4148,4257,4353,4445,4556,4650,4741,4840,4933,5030,5146,5241,5346,5452,5561,5674,5763,5854,5986,6107,6218,6332,6439,6554,6670,6785,6901,7010,7133,7260,7385,7509,7627,7746,7877,7999,8132,8247,8367,8469,8585,8702,8831,8977,9092,9228,9335,9448,9564,9707,9863,9998,10179,10356,10501,10657,10816,10979,11130,11282,11453,11626,11811,12012,12190,12415,12592,12808,13036,13259,13472,13705,13926,14152,14393,14615,14863,15144,15399,15680,15939,16221,16515,16807,17102,17388,17662,17939,18222,18509,18817,19133,19451,19765,20091,20407,20736,21038,21374,21768,22143,22532,22928,23334,23718,24114,24533,24940,25352,25722,26121,26569,26977,27402,27872,28329,28779,29279,29725,30197,30682,31199,31743,32281,32826,33405,34011,34627,35225,35848,36473,37177,37851,38544,39253,40005,40739,41482,42252,43080,43907,44676,45548,46375,47234,48145,49023,49926,50844,51768,52756,53634,54618,55600,56624,57617,58713,59744,60861,62002,63183,64385,65582,66787,68067,69317,70652,71971,73389,74813,76317,77837,79305,80879,82457,84088,85728,87365,89114,90924,92736,94605,96403,98314,100216,102218,104158,106188,108265,110466,112570,114719,116838,119062,121284,123673,126077,128484,130854,133234,135650,138190,140794,143399,145972,148606,151268,153966,156742,159510,162282,164963,167818,170749,173665,176608,179608,182705,185948,189103,192371,195763,199267,202811,206449,210259,214033,217822,221731,225631,229445,233498,237558,241804,246180,250474,254819,259311,263835,268487,273305,278206,283191,288372,293533,298822,304026,309445,314857,320468,326244,332005,337964,344033,350303,356682,363065,369656,376359,383079,389847,396869,404137,411265,418474,425835,433170,440662,448218,455894,463797,471767,479950,488067,496332,504510,513025,521567,530145,539098,547767,556762,565984,575248,584528,593933,603378,612997,622746,632482,642639,652806,663244,673748,684416,695306,706185,717480,728747,740137,751826,763504,775273,787331,799541,811924,824530,837288,850252,863450,876787,890231,903669,917334,931399,945512,960080,974426,989408,1004254,1019144,1034242,1049472,1064938,1080599,1096286,1112373,1128375,1144524,1160900,1177256,1193704,1210358,1227156,1244203,1261379,1278342,1295537,1312920,1330620,1348202,1365930,1383986,1402113,1420399,1438665,1457130,1475736,1494758,1513329,1532088,1550684,1569839,1589032,1608102,1627404,1646807,1665984,1685677,1705386,1725134,1744903,1765100,1785358,1805604,1825957,1846389,1866838,1887339,1908086,1929140,1949978
1,1,1,1,1,1,3,6,6,6,8,9,10,12,13,14,17,24,26,26,29,30,33,37,41,48,54,55,64,68,71,75,76,78,82,82,84,92,95,104,114,118,122,126,132,140,148,151,153,161,170,175,184,190,197,203,210,215,220,227,238,243,247,251,257,263,274,279,283,292,299,305,312,318,330,337,345,360,369,374,377,387,392,399,403,407,413,416,426,433,440,445,450,455,462,466,473,478,488,493,500,508,517,521,530,543,553,565,586,601,611,631,646,659,687,706,729,751,779,803,829,852,870,895,919,942,963,985,1014,1039,1067,1089,1112,1135,1160,1183,1205,1231,1250,1274,1297,1323,1345,1373,1402,1426,1452,1466,1486,1512,1533,1549,1581,1614,1645,1678,1700,1726,1752,1788,1814,1853,1894,1940,1969,2007,2036,2088,2146,2186,2219,2280,2328,2377,2421,2479,2535,2595,2624,2682,2731,2775,2811,2855,2916,2963,3017,3071,3117,3193,3252,3325,3378,3445,3529,3592,3662,3739,3818,3901,3994,4090,4181,4269,4359,4454,4567,4676,4768,4861,4997,5118,5230,5349,5479,5634,5782,5942,6109,6265,6421,6587,6754,6924,7090,7261,7430,7596,7766,7935,8130,8325,8497,8697,8915,9129,9350,9550,9799,10015,10213,10481,10703,10929,11162,11406,11632,11890,12150,12425,12717,13023,13309,13639,13973,14288,14598,14934,15308,15663,15993,16365,16791,17218,17623,18047,18453,18878,19327,19754,20177,20672,21146,21592,22111,22570,23053,23547,24055,24582,25161,25736,26298,26856,27444,28018,28634,29230,29815,30424,31006,31686,32317,32973,33647,34358,35081,35813,36602,37399,38225,39124,40030,41003,41937,42954,43981,45037,46083,47248,48443,49635,50915,52228,53504,54759,56124,57462,58826,60246,61598,63020,64415,65935,67498,69133,70738,72343,74002,75724,77504,79247,81119,83048,84931,86966,88984,91094,93258,95540,97779,100063,102275,104601,107016,109402,111925,114524,116997,119644,122361,125052,127887,130728,133626,136495,139506,142603,145739,149031,152297,155596,158878,162341,165858,169396,173055,176754,180596,184468,188417,192464,196524,200574,204623,208791,213015,217297,221619,226185,230820,235497,240188,245156,250168,255267,260383,265868,271482,277169,282826,288642,294762,300820,306979,313196,319559,326149,332645,339239,346070,353146,360222,367299,374734,382203,389716,397385,405208,413185,421317,429623,438011,446559,455169,464101,473218,482658,492009,501407,511042,520959,531260,541274,551998,562656,573487,584405,595691,607388,619421,631108,643331,655709,668489,681218,694194,706991,720296,733558,746816,760306,773783,787495,801200,815378,829679,844076,858555,873072,888046,902875,917985,933280,948787,964361,980194,996213,1012343,1028941,1045467,1061966,1078938,1096169,1113623,1131146,1148685,1166357,1184526,1202595,1221115,1239582,1258500,1277719,1296827,1316332,1336023,1355608,1375391,1395241,1415279,1435237,1455632,1476139,1496893,1517695,1538683,1559564,1580858,1601898,1623107,1644464,1666118,1687648,1709370,1730873,1752839
1,1,2,4,5,5,6,8,9,10,11,11,11,12,13,14,16,19,20,25,28,31,33,35,36,41,45,51,56,59,62,67,78,83,90,96,108,116,125,134,137,146,155,160,171,177,188,194,206,213,221,227,242,251,260,274,282,294,301,318,325,340,354,362,380,396,408,425,443,459,487,502,517,540,562,578,602,627,657,675,693,722,745,777,806,829,862,886,918,945,975,1002,1038,1064,1100,1130,1160,1185,1218,1244,1274,1300,1337,1369,1398,1428,1473,1512,1552,1590,1618,1658,1698,1738,1764,1796,1831,1866,1888,1911,1943,1975,2010,2044,2077,2105,2145,2176,2210,2245,2289,2329,2390,2430,2485,2534,2584,2654,2715,2795,2854,2921,3001,3070,3171,3253,3342,3429,3517,3616,3709,3798,3892,3982,4086,4189,4293,4411,4542,4681,4805,4920,5053,5185,5300,5429,5560,5725,5878,6032,6218,6406,6590,6802,6991,7188,7407,7638,7865,8099,8358,8581,8820,9084,9349,9626,9879,10144,10441,10697,11021,11334,11638,11898,12209,12483,12780,13062,13359,13653,13939,14265,14564,14892,15244,15598,15960,16331,16714,17106,17473,17849,18243,18648,19020,19427,19775,20162,20552,20974,21361,21702,22068,22487,22886,23271,23666,24076,24469,24826,25159,25557,25970,26333,26739,27195,27618,28058,28528,29014,29487,30019,30527,31037,31579,32121,32603,33144,33645,34179,34678,35260,35804,36382,36978,37546,38094,38672,39268,39925,40568,41251,41972,42779,43588,44404,45270,46128,47008,47904,48877,49823,50749,51719,52744,53784,54828,55943,57047,58170,59310,60511,61686,62858,64104,65403,66727,67986,69272,70605,71953,73253,74634,75959,77280,78677,80089,81496,82865,84391,85910,87484,89130,90834,92564,94286,96003,97761,99552,101439,103341,105298,107239,109196,111195,113109,115093,117137,119224,121306,123470,125509,127550,129703,131826,133944,136099,138279,140642,142985,145374,147845,150185,152760,155286,157883,160504,163388,166258,169146,172177,175277,178448,181622,185006,188387,191832,195323,198874,202455,206050,209789,213591,217470,221363,225361,229482,233484,237676,241831,246223,250744,255245,259856,264427,269220,274134,278996,284096,289239,294526,299914,305493,311127,316758,322610,328340,334160,340247,346320,352520,358580,364801,371219,377656,384312,390890,397576,404511,411615,418700,425942,433207,440662,448122,455681,463385,471091,478842,486619,494521,502612,510659,518897,527026,535244,543821,552498,561428,570233,579211,588193,597368,606599,616003,625519,635150,644800,654583,664419,674375,684492,694950,705418,715993,726619,737391,748227,759174,770376,781696,793184,804740,816541,828608,840598,852811,865047,877620,890224,902960,915912,928792,942017,955293,968556,982213,996133,1010187,1024354,1038339,1052674,1067043,1081742,1096576,1111341,1126092,1140957,1156101,1171310,1186648,1202357,1218109,1234065,1249997,1266038,1282503,1299198,1315865,1332767,1349896,1367264,1384511,1401894,1419296,1437283,1455258,1473369,1491626,1510001,1528643,1547348,1566153,1585320,1604422,1623785,1643054,1662497,1682241,1701875,1721808,1741770,1762250,1782584,1802918,1823656,1844318
1,1,1,1,4,4,5,6,8,10,13,17,17,18,20,22,23,23,24,26,28,31,36,40,45,45,48,52,53,58,60,63,66,70,73,76,77,79,82,85,87,91,98,99,103,109,113,120,123,123,126,131,135,136,140,143,148,152,159,165,167,169,178,182,186,193,198,200,207,212,219,231,236,245,250,263,267,276,287,297,305,317,326,340,349,366,375,389,405,421,431,440,452,464,478,492,511,519,536,548,564,586,612,631,651,664,677,702,725,746,776,802,836,866,898,937,959,994,1031,1063,1101,1145,1190,1243,1290,1348,1406,1464,1524,1582,1641,1702,1758,1823,1894,1976,2049,2127,2207,2281,2358,2438,2509,2609,2680,2744,2812,2884,2959,3034,3108,3183,3273,3356,3445,3536,3636,3726,3810,3891,3967,4074,4171,4268,4374,4481,4592,4711,4834,4955,5077,5206,5346,5495,5657,5805,5956,6098,6258,6415,6552,6710,6845,6999,7167,7297,7455,7600,7756,7910,8056,8204,8364,8514,8689,8855,9031,9197,9383,9539,9711,9901,10080,10279,10464,10663,10853,11019,11208,11430,11644,11855,12082,12297,12540,12794,13072,13353,13648,13912,14159,14464,14788,15064,15380,15697,16035,16381,16753,17106,17493,17874,18261,18680,19085,19476,19929,20348,20769,21222,21642,22095,22555,22969,23417,23906,24382,24848,25340,25823,26316,26822,27321,27809,28353,28844,29371,29916,30466,31032,31647,32240,32874,33531,34227,34861,35606,36339,37142,37926,38780,39610,40443,41299,42186,43086,44044,44951,45877,46800,47787,48754,49776,50811,51815,52828,53876,54925,56044,57107,58282,59435,60626,61815,62968,64193,65485,66757,68089,69407,70726,72116,73471,74867,76337,77783,79289,80817,82373,83905,85471,87079,88819,90484,92190,93958,95645,97403,99147,101000,102856,104729,106700,108720,110803,112813,114834,116891,119077,121169,123296,125473,127768,130046,132363,134806,137199,139651,142180,144700,147341,150103,152677,155417,158132,160977,163740,166588,169449,172382,175365,178475,181606,184897,188091,191265,194680,198093,201606,205164,208773,212453,216238,220049,223932,227880,231863,235997,240125,244346,248812,253231,257722,262173,266769,271434,276337,281304,286291,291452,296726,302011,307556,312974,318492,324293,329872,335828,341762,347950,354254,360500,367112,373681,380425,387283,394155,401109,408206,415257,422624,430012,437724,445473,453365,461437,469525,477555,485794,494117,502513,511184,520064,528798,537791,546913,556188,565616,575056,584651,594334,604210,614027,624231,634484,644871,655537,666126,677088,688144,699257,710523,721840,733482,745222,756977,768950,781018,793233,805693,818226,830873,843539,856347,869565,882787,896164,909837,923447,937178,951297,965493,979848,994150,1008543,1023361,1038243,1053068,1068446,1083821,1099386,1115154,1130978,1147256,1163726,1180505,1197377,1214500,1231777,1249410,1266992,1284893,1302978,1321378,1339817,1358402,1376742,1395568,1414482,1433653,1452875,1472096,1491706,1511709,1531902,1552278,1572686,1593132,1613920,1634709,1655994,1677157,1698598,1720138,1741703,1763516,1785464
1,1,1,1,1,2,3,4,4,6,7,9,11,11,14,16,20,21,21,24,25,30,30,32,33,38,40,42,45,53,54,56,59,63,68,73,80,83,88,90,95,99,101,105,111,113,118,122,127,131,136,143,146,151,158,162,173,179,185,195,203,212,226,235,244,248,257,264,269,284,293,310,323,344,348,357,366,377,387,403,415,428,437,451,463,471,486,493,507,533,552,564,586,607,620,633,651,669,690,713,730,757,789,817,848,877,905,942,984,1019,1059,1101,1133,1176,1199,1229,1261,1300,1340,1384,1421,1465,1509,1545,1582,1620,1672,1718,1760,1806,1853,1901,1949,2008,2059,2120,2184,2256,2319,2380,2438,2513,2581,2648,2727,2812,2894,2990,3089,3167,3273,3398,3522,3655,3788,3900,4037,4157,4318,4462,4621,4784,4913,5088,5268,5440,5614,5783,5989,6194,6385,6571,6793,6993,7213,7430,7677,7936,8185,8441,8721,8962,9243,9496,9757,10052,10329,10641,10943,11257,11568,11903,12238,12604,12958,13296,13640,14024,14405,14766,15161,15520,15925,16351,16767,17214,17642,18067,18518,18949,19391,19874,20347,20822,21297,21770,22216,22670,23168,23654,24165,24683,25208,25708,26198,26726,27310,27916,28516,29072,29643,30227,30799,31347,31965,32572,33232,33882,34521,35216,35927,36662,37401,38178,38965,39751,40514,41287,42051,42856,43691,44571,45415,46302,47241,48196,49151,50144,51132,52137,53144,54171,55256,56299,57403,58518,59599,60773,61946,63125,64251,65462,66684,67869,69106,70373,71695,72942,74215,75534,76914,78230,79586,80990,82448,83912,85306,86856,88407,89975,91499,93047,94578,96182,97818,99449,101138,102748,104469,106227,107969,109695,111462,113283,115095,117037,118928,120746,122697,124592,126556,128546,130515,132593,134648,136726,138931,141093,143278,145506,147771,150098,152543,154927,157429,159967,162566,165179,167850,170391,173017,175789,178626,181522,184380,187255,190178,193215,196297,199303,202545,205758,209066,212401,215660,218914,222268,225645,229021,232622,236212,239963,243672,247429,251319,255385,259395,263551,267781,271969,276297,280727,285021,289446,293996,298571,303284,307805,312493,317381,322209,327105,331984,336989,342033,347229,352478,357725,363074,368572,374031,379852,385566,391346,397087,403052,409056,415286,421556,427735,434134,440557,447319,454045,460785,467756,474818,481841,488792,496008,503398,510724,518134,525572,533299,540973,548895,556901,565109,573524,581988,590665,599501,608501,617749,626997,636337,645842,655724,665700,675775,686091,696742,707370,718060,729041,740129,751118,762167,773468,784989,796566,808212,819989,831942,843729,855638,867686,879620,892047,904510,917274,930053,943258,956256,969845,983535,997154,1011132,1025250,1039756,1054300,1068727,1083371,1098300,1113350,1128439,1143448,1158557,1173894,1189294,1204866,1220627,1236658,1252840,1268704,1284951,1301015,1317375,1333801,1350271,1366972,1383764,1400540,1417702,1434950,1452141,1469401,1486871,1504472,1522215,1540074,1557875,1576164,1594402,1612686,1631207,1649937,1668722,1687655,1706973,1726015,1745204,1764606,1784167,1803887,1823751
1,1,1,1,1,2,3,3,5,5,6,8,8,8,9,9,10,10,11,14,18,20,24,25,28,30,35,36,38,42,46,52,55,58,60,62,68,72,76,79,84,90,100,107,108,114,123,128,136,143,144,146,155,165,174,177,179,182,187,187,192,196,205,213,223,228,234,246,253,263,270,281,287,294,309,322,329,336,343,350,365,374,386,398,412,422,433,443,457,471,476,493,504,514,527,535,545,550,565,578,590,598,606,618,630,644,656,671,679,691,708,721,740,751,765,787,811,833,859,872,893,905,924,941,971,997,1015,1033,1056,1077,1093,1111,1117,1129,1146,1156,1168,1184,1205,1225,1252,1268,1284,1299,1317,1340,1372,1393,1420,1446,1467,1483,1505,1521,1552,1570,1592,1614,1644,1669,1685,1701,1717,1749,1779,1812,1839,1862,1891,1942,1997,2057,2118,2194,2276,2385,2494,2607,2746,2890,3027,3168,3289,3436,3557,3687,3841,3959,4096,4232,4366,4536,4676,4829,4988,5142,5287,5462,5656,5836,6038,6266,6520,6763,7037,7326,7611,7854,8135,8432,8679,8942,9232,9504,9781,10088,10421,10739,11036,11315,11613,11878,12149,12434,12715,12990,13273,13528,13785,14026,14321,14610,14956,15277,15573,15865,16216,16573,16926,17286,17620,17984,18338,18695,19009,19351,19686,20049,20408,20723,21126,21469,21829,22181,22538,22900,23246,23579,23905,24288,24636,25004,25327,25671,26036,26406,26784,27129,27508,27879,28280,28653,29051,29480,29924,30328,30791,31239,31699,32181,32634,33121,33611,34098,34622,35167,35684,36218,36770,37338,37882,38432,38946,39428,39946,40498,41021,41558,42105,42643,43215,43815,44426,44992,45522,46138,46719,47361,47949,48577,49175,49843,50508,51218,51903,52571,53261,53971,54742,55463,56201,56924,57668,58398,59176,59965,60814,61705,62593,63505,64423,65282,66189,67065,68008,68963,69930,70904,71889,72856,73868,74877,75974,77127,78228,79316,80508,81688,82888,84125,85383,86685,87933,89311,90663,92094,93497,94959,96460,98065,99677,101345,103012,104658,106384,108114,109770,111547,113411,115227,117088,119056,121038,123025,125074,127125,129258,131301,133528,135789,138043,140426,142752,145173,147592,150116,152723,155458,158217,161008,163971,166887,169850,172997,176401,179862,183413,187045,190742,194541,198399,202438,206553,210795,214869,218941,223243,227586,231951,236411,240964,245581,250289,255159,260001,265012,270060,275264,280555,285935,291521,297230,302957,308745,314567,320532,326439,332424,338564,344809,351140,357543,363922,370429,376842,383424,390020,396893,403745,410546,417657,424768,431979,439299,446686,454210,461820,469548,477569,485643,493681,501761,510037,518516,527421,536243,545322,554460,563689,573234,582922,592697,602624,612737,623013,633336,643879,654593,665279,676333,687578,698993,710367,721859,733622,745595,757847,770165,782405,794833,807392,820318,833177,846313,859761,873209,886913,900672,914873,929107,943387,957816,972374,987265,1002195,1017138,1032459
1,1,1,1,1,2,2,3,3,5,5,5,5,7,11,15,16,19,20,22,23,25,27,29,37,42,47,49,56,59,65,66,70,74,79,87,93,97,105,113,121,127,132,139,150,161,167,172,175,184,189,193,198,206,210,222,229,240,245,256,268,278,290,297,308,312,320,330,340,351,361,365,370,376,388,398,413,434,452,464,474,486,494,505,522,544,566,584,594,611,624,639,661,688,700,719,746,783,805,824,843,870,888,912,933,964,984,1009,1040,1071,1103,1133,1171,1190,1217,1253,1291,1319,1360,1399,1440,1487,1528,1570,1600,1638,1670,1700,1727,1769,1800,1841,1869,1908,1952,1984,2020,2059,2093,2138,2182,2229,2280,2329,2377,2424,2455,2500,2541,2591,2626,2684,2736,2772,2819,2867,2914,2975,3025,3081,3127,3188,3239,3276,3323,3374,3426,3482,3524,3578,3645,3683,3732,3789,3845,3894,3945,3994,4048,4102,4171,4218,4281,4347,4406,4457,4519,4578,4633,4691,4753,4815,4869,4924,4980,5038,5090,5149,5216,5276,5346,5415,5477,5555,5614,5679,5742,5807,5873,5932,5997,6085,6162,6244,6313,6398,6474,6549,6614,6677,6759,6844,6928,7019,7095,7171,7248,7311,7404,7493,7581,7672,7771,7859,7953,8045,8141,8243,8350,8444,8519,8608,8710,8797,8881,8969,9054,9148,9237,9345,9458,9566,9648,9753,9851,9941,10056,10177,10300,10398,10499,10628,10749,10860,10988,11102,11234,11366,11492,11621,11762,11898,12031,12154,12283,12408,12550,12690,12819,12937,13060,13210,13345,13474,13621,13752,13891,14034,14184,14317,14460,14606,14753,14911,15085,15246,15402,15559,15737,15888,16061,16254,16415,16578,16760,16951,17126,17289,17483,17703,17876,18067,18291,18522,18707,18910,19128,19341,19591,19807,20047,20295,20509,20726,20981,21210,21478,21751,22029,22305,22599,22862,23159,23496,23827,24145,24466,24824,25182,25542,25896,26234,26604,26980,27366,27799,28186,28579,28998,29394,29799,30251,30689,31148,31590,32032,32507,32961,33491,33983,34542,35069,35634,36163,36714,37282,37892,38462,39074,39693,40328,41002,41653,42369,43080,43859,44616,45376,46217,47057,47903,48754,49630,50576,51503,52417,53409,54360,55349,56288,57345,58338,59449,60512,61646,62796,63959,65147,66330,67685,68973,70234,71632,73066,74555,76120,77636,79220,80839,82522,84184,85952,87801,89575,91391,93296,95253,97226,99209,101287,103361,105359,107449,109584,111646,113916,116134,118412,120688,123017,125414,127844,130297,132720,135208,137787,140369,143021,145640,148392,151199,153978,156861,159872,162885,166042,169247,172382,175588,178787,182040,185423,188809,192239,195739,199334,202860,206443,210112,213788,217661,221593,225412,229375,233509,237613,241813,246165,250581,255065,259796,264436,269359,274105,279078,284150,289347,294716,300027,305447,311049,316540,322110,327786,333604,339590,345537,351520,357660,363866,370155,376601,383233,389859,396753,403703,410723
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1,1,1,1,1,2,2,2,2,2,4,6,6,7,8,10,10,10,10,10,11,13,14,15,15,16,22,27,30,31,34,35,37,38,41,46,49,53,54,57,65,69,74,81,86,90,94,100,103,105,115,122,131,136,143,148,153,161,166,179,184,187,195,203,214,222,230,239,243,256,265,274,284,298,309,320,329,341,361,371,384,395,405,420,430,445,453,468,482,498,514,533,546,564,578,592,605,627,644,657,676,693,707,724,735,755,776,788,803,824,842,863,888,913,935,952,982,1005,1018,1026,1047,1063,1076,1092,1117,1136,1160,1176,1192,1216,1243,1262,1285,1306,1327,1354,1381,1406,1429,1455,1487,1531,1562,1578,1604,1629,1652,1677,1708,1733,1766,1803,1835,1868,1904,1931,1963,1998,2022,2050,2081,2122,2150,2179,2211,2251,2289,2324,2357,2400,2436,2480,2518,2555,2602,2668,2717,2756,2797,2849,2915,2968,3023,3081,3123,3167,3237,3289,3344,3389,3460,3519,3587,3656,3715,3792,3872,3954,4018,4095,4187,4295,4401,4507,4618,4747,4858,4969,5092,5249,5393,5524,5677,5807,5953,6110,6281,6444,6594,6746,6893,7057,7223,7383,7553,7726,7903,8103,8274,8478,8681,8877,9094,9306,9511,9734,9963,10212,10447,10724,11001,11300,11557,11861,12169,12465,12737,13016,13313,13631,13948,14273,14615,14985,15347,15694,16055,16417,16763,17109,17454,17794,18148,18510,18869,19259,19624,20006,20344,20687,21102,21458,21882,22291,22738,23143,23541,24013,24416,24870,25336,25764,26245,26750,27222,27743,28264,28786,29358,29895,30417,30974,31549,32169,32749,33327,33923,34519,35114,35737,36393,37034,37730,38434,39145,39862,40623,41406,42178,43000,43780,44575,45393,46156,46994,47827,48617,49429,50257,51124,52010,52881,53810,54648,55575,56502,57366,58304,59311,60339,61346,62319,63334,64350,65340,66413,67466,68552,69602,70697,71820,73039,74216,75416,76616,77843,79115,80350,81641,82963,84266,85642,87028,88416,89822,91268,92668,94039,95487,96959,98462,99971,101499,103045,104688,106320,107938,109584,111221,112842,114502,116287,118035,119789,121565,123301,125087,126940,128798,130672,132648,134532,136395,138360,140309,142396,144462,146598,148779,151005,153252,155613,157934,160334,162817,165333,167867,170438,172955,175599,178253,180962,183828,186623,189535,192443,195387,198523,201594,204824,208010,211337,214668,217930,221478,224945,228373,231787,235373,238991,242659,246281,249927,253593,257447,261173,264994,268788,272581,276463,280399,284493,288550,292645,296803,301017,305280,309644,314199,318751,323365,328140,333081,337893,342822,347870,352962,358113,363411,368916,374322,379844,385519,391267,397019,402753,408735,414655,420779,426878,433029,439334,445827,452518,459183,466025,473094,480508,487911,495399,503012,510736,518570,526649,534800,543112,551801,560228,568843,577777,586813,596062,605137,614450,623977,633379,642961,652726,662565,672668,682887,692971,703286,713694,724288,735059,745851
1,1,1,1,1,1,1,4,4,5,5,5,6,6,9,9,12,13,14,14,14,15,15,17,17,19,23,24,24,25,27,30,31,32,34,38,42,45,54,57,61,66,72,78,84,93,101,114,119,135,151,163,167,177,187,196,202,211,220,242,258,273,288,298,311,325,354,369,382,410,429,445,460,486,504,523,536,555,569,595,617,640,661,686,699,720,746,769,797,814,833,862,882,902,931,963,1001,1040,1058,1085,1117,1142,1167,1198,1224,1252,1287,1326,1355,1404,1429,1454,1488,1514,1548,1577,1614,1644,1668,1703,1738,1771,1796,1828,1862,1902,1930,1958,1990,2027,2053,2089,2125,2155,2182,2213,2243,2275,2300,2324,2354,2379,2408,2434,2469,2499,2527,2557,2588,2625,2657,2693,2733,2772,2816,2849,2891,2930,2964,3001,3040,3069,3107,3143,3179,3211,3257,3283,3316,3359,3393,3432,3467,3506,3552,3600,3638,3670,3689,3719,3759,3801,3835,3874,3915,3960,4012,4053,4093,4133,4177,4214,4258,4313,4367,4416,4470,4528,4599,4648,4706,4763,4822,4884,4949,5027,5104,5172,5260,5337,5413,5488,5568,5667,5744,5842,5923,6020,6099,6207,6298,6394,6484,6562,6652,6765,6877,6974,7098,7211,7349,7485,7612,7734,7864,8007,8155,8342,8494,8686,8867,9036,9226,9423,9600,9798,9980,10172,10347,10531,10723,10899,11106,11285,11446,11632,11807,12003,12189,12379,12575,12784,12998,13231,13455,13657,13913,14184,14437,14698,14974,15283,15619,15943,16263,16588,16924,17263,17604,17958,18318,18673,19063,19454,19880,20297,20702,21146,21561,22021,22504,22942,23362,23784,24204,24666,25101,25496,25963,26422,26895,27359,27779,28271,28782,29293,29794,30323,30923,31526,32140,32755,33369,34065,34723,35421,36120,36867,37635,38381,39112,39896,40680,41524,42331,43151,43986,44869,45734,46638,47589,48557,49587,50685,51733,52807,53967,55161,56357,57497,58791,60110,61460,62825,64214,65624,67033,68496,69990,71488,73016,74515,76115,77647,79305,80989,82771,84580,86413,88247,90167,92063,94012,96102,98228,100399,102616,104890,107198,109591,112009,114553,117086,119622,122234,124849,127457,130252,133094,135982,138968,142031,145019,148100,151235,154487,157836,161251,164731,168220,171836,175478,179188,182824,186544,190362,194039,197859,201750,205806,209811,213952,218058,222390,226657,231044,235402,239933,244431,249150,253874,258698,263403,268235,273186,278248,283477,288824,294136,299611,305108,310631,316335,322113,328031,334096,340372,346509,352757,359110,365516,372096,378764,385478,392428,399374,406575,413950,421519,429115,437048,445136,453263,461518,469947,478766,487764,496800,505910,515158,524522,534122,543579,553296,563179,572988,583026,593198,603374,613600,623957,634458,645301,656232,667438,678755,690046,701709,713403,725665,737834,750207,762926,775654,788751,801867,815387,828863,842685,856834,870939,885309,899930,914635,929549,944706,960209,975590,991235,1007045,1022922,1038987,1055176,1071749,1088471,1105164,1122209
1,1,1,1,1,3,4,4,5,5,6,6,6,6,8,8,8,10,10,12,13,15,16,17,17,17,17,17,17,17,17,17,17,19,19,19,19,20,20,22,22,23,23,23,23,23,23,24,27,27,31,32,35,39,40,44,47,51,53,56,59,65,67,71,74,77,87,93,98,101,106,111,114,118,120,122,123,136,142,147,156,161,166,171,180,186,190,205,212,223,235,244,252,256,273,284,297,301,310,321,331,343,353,361,373,388,402,423,432,449,463,473,491,507,519,525,543,565,576,592,604,616,637,647,656,668,681,693,704,718,733,743,755,777,801,819,836,852,865,885,899,915,935,958,973,991,1006,1021,1037,1063,1091,1118,1140,1165,1192,1212,1240,1269,1295,1326,1353,1395,1437,1482,1541,1593,1629,1682,1725,1783,1837,1896,1947,2009,2078,2141,2208,2276,2342,2415,2489,2568,2646,2708,2784,2865,2959,3075,3175,3281,3384,3481,3607,3720,3824,3946,4099,4227,4359,4506,4648,4806,4969,5136,5339,5498,5663,5834,6010,6222,6393,6627,6815,7017,7230,7444,7672,7909,8137,8402,8678,8948,9212,9521,9828,10157,10451,10800,11152,11528,11895,12300,12696,13059,13427,13839,14245,14633,15090,15540,15958,16403,16871,17307,17744,18183,18649,19121,19572,20053,20565,21060,21592,22098,22599,23114,23654,24234,24771,25351,25900,26476,27030,27625,28188,28806,29389,30010,30655,31348,31980,32609,33260,33904,34614,35236,35950,36623,37256,37997,38790,39527,40273,41029,41772,42553,43315,44081,44919,45682,46552,47426,48281,49171,49998,50880,51793,52721,53671,54583,55477,56428,57494,58458,59393,60381,61373,62398,63434,64422,65558,66737,67900,68977,70145,71317,72489,73616,74794,76039,77302,78549,79779,81075,82350,83647,84983,86369,87669,89026,90355,91751,93150,94676,96212,97749,99232,100723,102342,103973,105526,107229,109029,110747,112465,114181,115885,117658,119514,121400,123364,125284,127192,129132,131177,133273,135388,137475,139723,141995,144278,146622,148938,151333,153826,156345,158987,161654,164458,167388,170321,173245,176238,179339,182479,185774,189173,192589,196082,199624,203290,206981,210577,214217,217925,221777,225611,229669,233658,237597,241521,245512,249661,253852,258101,262509,266969,271532,276045,280688,285267,290016,294962,299950,305040,310231,315434,320676,326049,331451,337095,342796,348515,354370,360386,366316,372376,378656,385027,391431,398027,404697,411405,418052,425064,431970,438939,446295,453575,460975,468470,476112,483895,491583,499403,507473,515662,523835,532277,540867,549602,558468,567330,576220,585455,594600,604065,613420,622993,632721,642449,652257,662187,672153,682149,692630,703127,713766,724542,735234,746143,757233,768257,779344,790797,802210,813716,825520,837451,849349,861373,873725,886111,898607,911380,924156,937213,950359,963438,976821,990322,1003946,1017769,1031749,1045809,1060047,1074542,1089104,1103921,1118531,1133434,1148304,1163185,1178492,1193676,1209121,1224862
1,1,1,1,4,5,6,6,6,6,6,7,7,8,11,12,14,14,15,15,18,20,24,27,31,33,34,34,38,40,42,45,49,57,65,67,71,74,78,82,85,86,93,96,103,106,110,118,125,137,144,148,155,161,174,193,224,242,259,288,331,368,412,463,525,575,618,671,732,813,891,969,1043,1115,1195,1271,1359,1443,1525,1615,1709,1789,1869,1948,2042,2123,2203,2280,2344,2426,2497,2567,2632,2707,2769,2826,2883,2953,3027,3096,3155,3227,3276,3331,3408,3474,3540,3607,3676,3745,3809,3873,3938,4006,4088,4177,4245,4317,4402,4453,4524,4611,4675,4747,4821,4897,4973,5036,5122,5220,5299,5373,5467,5563,5632,5717,5813,5900,5981,6074,6153,6239,6344,6441,6527,6622,6725,6818,6932,7043,7142,7248,7352,7449,7552,7651,7736,7810,7894,8003,8107,8207,8308,8404,8501,8600,8701,8803,8918,9025,9127,9248,9371,9497,9630,9774,9921,10082,10218,10344,10512,10665,10815,10978,11150,11353,11515,11691,11850,12022,12191,12351,12494,12655,12821,13014,13187,13364,13543,13738,13936,14124,14296,14489,14677,14910,15123,15314,15530,15765,16041,16295,16545,16793,17056,17345,17617,17923,18231,18553,18930,19336,19772,20174,20643,21131,21586,22025,22459,22936,23397,23871,24420,24920,25428,25942,26470,26986,27543,28071,28664,29311,29932,30607,31337,32080,32881,33685,34466,35251,36097,36938,37756,38560,39412,40295,41126,41969,42806,43703,44596,45471,46360,47244,48166,49048,49935,50863,51756,52736,53691,54629,55641,56650,57669,58762,59858,60995,62096,63241,64409,65597,66825,68039,69299,70549,71828,73191,74524,75863,77183,78589,79951,81338,82789,84292,85805,87274,88786,90438,92089,93723,95409,97086,98737,100528,102317,104142,106040,108031,109882,111887,113893,116044,118143,120294,122483,124633,126876,129139,131363,133744,136209,138643,141165,143641,146130,148656,151276,153959,156730,159404,162143,164978,167808,170917,173906,176877,180058,183282,186545,189881,193320,196760,200302,204078,207773,211520,215311,219251,223232,227307,231351,235450,239602,243859,248209,252560,257078,261611,266180,270929,275723,280519,285585,290712,295823,301122,306279,311600,317076,322762,328457,334190,339960,346099,352239,358514,364840,371313,377869,384580,391371,398333,405351,412533,419571,426789,434082,441490,449167,456893,464593,472415,480227,487973,496004,503940,512287,520531,528824,537182,545673,554379,563415,572589,581671,590876,600282,609786,619481,629359,639353,649519,659842,670419,681275,692155,703062,714256,725576,737106,748701,760545,772382,784405,796719,809039,821367,834146,847004,860041,873269,886726,900617,914165,928348,942626,957151,971990,986832,1002074,1017491,1033068,1049129,1065164,1081399,1097814,1114349,1130915,1147627,1164505,1181648,1199032,1216433,1233981,1252077,1269958,1288305,1306627,1325183,1343819,1362364,1381431,1400698,1420079,1439643,1459309,1479094,1499120,1519436,1539771,1560027,1580763,1601684,1622519,1643683,1664942,1686562,1708192,1729601,1751400,1773349,1795215,1817355,1839672,1862074,1884519,1906606,1929276,1952300,1974850,1997645,2020559,2043623,2066642,2089832
1,1,1,1,2,5,5,5,5,7,7,7,12,13,14,16,19,21,23,27,30,32,41,43,46,49,57,61,63,65,68,73,75,76,83,86,90,95,98,101,101,106,110,114,118,122,129,130,134,138,142,146,151,153,153,155,158,161,163,165,166,168,172,175,175,177,179,179,180,181,186,189,190,193,197,203,206,209,210,214,217,219,220,221,222,225,227,228,230,232,234,239,241,243,247,250,255,259,264,267,271,274,275,280,281,285,291,291,295,303,308,318,323,328,334,341,344,351,356,361,367,373,378,382,388,393,397,403,411,414,418,425,434,442,445,448,449,455,460,468,473,481,487,495,498,505,515,524,527,537,545,558,566,571,579,587,596,609,624,633,641,651,659,669,685,698,721,732,748,758,770,789,802,813,831,847,857,873,881,888,900,910,927,939,952,964,977,991,1001,1013,1027,1037,1046,1068,1090,1099,1112,1131,1141,1153,1171,1188,1203,1214,1228,1242,1257,1266,1275,1288,1299,1312,1324,1333,1340,1353,1366,1378,1387,1395,1405,1420,1424,1432,1437,1443,1455,1470,1475,1484,1494,1500,1507,1517,1527,1537,1546,1553,1557,1563,1567,1573,1584,1592,1603,1612,1632,1647,1657,1667,1683,1692,1702,1709,1719,1735,1745,1750,1763,1779,1794,1800,1805,1819,1824,1834,1845,1855,1859,1872,1879,1883,1887,1893,1902,1912,1921,1934,1953,1962,1974,1989,1999,2013,2029,2037,2060,2088,2100,2116,2136,2145,2167,2188,2211,2232,2253,2280,2300,2323,2344,2359,2389,2421,2448,2480,2523,2554,2571,2596,2635,2675,2713,2751,2785,2811,2840,2874,2908,2947,2973,3002,3020,3055,3086,3120,3152,3189,3218,3246,3270,3298,3330,3358,3379,3414,3433,3463,3505,3538,3576,3600,3640,3676,3710,3757,3798,3832,3865,3913,3956,4001,4040,4083,4128,4177,4214,4253,4308,4362,4405,4444,4478,4507,4546,4574,4607,4646,4685,4716,4758,4788,4823,4848,4867,4900,4922,4952,4988,5019,5035,5064,5097,5134,5163,5187,5214,5256,5287,5316,5347,5385,5409,5456,5485,5518,5552,5594,5628,5669,5708,5755,5793,5830,5874,5911,5959,6000,6047,6090,6145,6199,6250,6312,6365,6422,6473,6529,6572,6623,6689,6743,6812,6858,6925,6986,7049,7110,7178,7256,7323,7400,7488,7568,7663,7745,7828,7946,8028,8116,8216,8311,8399,8482,8561,8636,8724,8808,8880,8977,9070,9134,9211,9283,9357,9427,9483,9565,9655,9740,9820,9910,9989,10062,10148,10224,10313,10395,10510,10620,10736,10861,10956,11072,11200,11317,11458,11575,11708,11828,11954,12103,12237,12371,12516,12654,12778,12939,13087,13239,13376,13524,13688,13856,14008,14169,14345
1,1,1,1,1,1,2,2,3,5,6,7,7,8,8,9,12,15,18,21,22,24,25,29,30,35,39,41,43,47,49,55,58,68,74,86,92,106,115,131,142,160,181,197,223,235,247,271,288,302,324,349,370,390,407,432,449,473,503,532,562,589,605,628,648,676,687,715,746,764,793,817,845,878,915,946,972,1002,1033,1066,1086,1126,1155,1181,1213,1239,1260,1280,1300,1321,1354,1387,1403,1433,1460,1487,1508,1528,1557,1584,1617,1641,1671,1698,1723,1750,1780,1801,1817,1842,1858,1878,1902,1927,1949,1969,1988,2018,2042,2061,2077,2096,2110,2131,2148,2173,2191,2216,2226,2238,2258,2274,2293,2311,2322,2338,2360,2373,2387,2397,2415,2431,2450,2466,2487,2512,2541,2567,2588,2614,2630,2648,2671,2692,2707,2728,2755,2783,2804,2837,2871,2902,2931,2953,2982,3014,3049,3068,3087,3110,3140,3154,3178,3204,3225,3256,3284,3317,3337,3377,3415,3443,3479,3509,3539,3568,3598,3636,3674,3713,3751,3806,3851,3901,3955,4002,4057,4102,4161,4211,4263,4324,4383,4438,4511,4571,4631,4702,4773,4838,4902,4978,5046,5126,5199,5312,5428,5560,5686,5830,5969,6129,6324,6526,6737,6922,7125,7326,7515,7706,7908,8083,8261,8445,8619,8809,8973,9127,9279,9457,9643,9871,10078,10274,10463,10676,10897,11102,11313,11529,11757,11996,12228,12439,12649,12861,13038,13233,13430,13630,13834,14039,14229,14409,14602,14827,15025,15234,15432,15650,15870,16116,16336,16576,16809,17066,17316,17594,17819,18087,18346,18588,18888,19152,19404,19678,19939,20219,20514,20768,21032,21274,21521,21752,22025,22282,22583,22865,23134,23400,23688,23937,24234,24534,24862,25176,25532,25843,26138,26477,26820,27207,27551,27909,28307,28730,29120,29525,29955,30408,30805,31228,31693,32156,32642,33142,33582,34029,34528,35019,35510,35974,36476,36959,37481,38047,38659,39241,39803,40391,40996,41606,42267,42951,43645,44296,45010,45650,46404,47134,47828,48513,49217,49966,50772,51475,52261,53071,53889,54703,55576,56402,57226,58138,58988,59901,60896,61867,62892,63852,64853,65951,66999,68076,69206,70403,71590,72806,74050,75296,76553,77805,79125,80468,81821,83232,84629,86094,87608,89128,90674,92273,93828,95468,97179,98845,100566,102245,104017,105722,107497,109362,111223,113072,114888,116683,118559,120485,122389,124359,126300,128313,130320,132382,134420,136589,138791,140982,143230,145584,147915,150222,152614,155060,157621,160127,162637,165186,167873,170525,173330,176100,178930,181851,184824,187754,190684,193705,196834,199928,203088,206242,209560,212927,216388,219866,223432,227040,230666,234314,237993,241927,245693,249738,253767,257798,261824,266016,270135,274362,278684,283003,287513,291950,296444,301155,305927,310749,315596,320608,325543,330480,335600,340655,345879,351163,356445,361865,367330,372783,378427,384065,389936,395669,401515,407517,413687,419932,426263,432537,439044,445716,452432,459058,465793,472585,479601
1,1,1,1,3,4,4,4,5,5,8,10,10,11,17,18,20,22,26,30,32,38,39,42,45,53,60,66,70,74,81,86,93,100,102,109,110,113,116,125,130,134,137,142,150,153,159,163,165,169,171,178,182,184,187,190,194,199,202,206,210,217,219,222,229,234,236,239,246,251,253,258,265,272,279,283,287,291,295,298,301,308,313,314,317,320,322,323,329,334,339,346,351,354,360,365,372,375,380,383,387,396,403,411,424,436,443,453,461,470,476,485,497,501,508,517,528,538,548,559,573,585,604,620,632,643,655,668,691,708,725,740,755,771,788,806,822,834,865,878,891,904,916,929,940,959,971,992,1003,1018,1036,1059,1084,1101,1110,1126,1137,1158,1168,1186,1200,1226,1243,1258,1270,1283,1306,1319,1330,1340,1360,1377,1391,1402,1413,1424,1438,1448,1464,1475,1492,1510,1520,1533,1552,1570,1590,1600,1615,1630,1641,1652,1662,1677,1686,1702,1717,1734,1751,1763,1777,1786,1798,1808,1819,1828,1846,1867,1875,1890,1904,1921,1940,1951,1964,1973,1991,2009,2031,2058,2073,2095,2113,2130,2149,2177,2202,2231,2255,2272,2298,2329,2349,2368,2400,2431,2448,2472,2496,2532,2564,2590,2619,2645,2666,2695,2726,2755,2781,2811,2841,2867,2888,2911,2945,2979,3014,3046,3077,3117,3159,3206,3238,3288,3329,3372,3404,3438,3483,3527,3574,3609,3666,3721,3778,3827,3885,3974,4056,4134,4222,4325,4391,4457,4532,4615,4685,4755,4819,4881,4947,5014,5085,5149,5202,5268,5337,5400,5485,5553,5599,5656,5715,5778,5839,5909,5981,6051,6105,6180,6270,6367,6469,6566,6667,6760,6864,6958,7066,7175,7275,7369,7463,7562,7636,7756,7852,7990,8117,8263,8396,8570,8719,8872,9038,9209,9396,9613,9818,10033,10240,10469,10696,10936,11175,11411,11657,11904,12160,12435,12693,12954,13236,13531,13803,14082,14333,14622,14887,15174,15435,15684,15932,16197,16480,16743,17010,17288,17577,17839,18119,18379,18674,18955,19257,19540,19830,20107,20397,20716,21033,21336,21655,21974,22273,22599,22908,23222,23572,23940,24312,24655,24968,25277,25631,25988,26371,26765,27135,27533,27928,28340,28760,29160,29540,29970,30398,30855,31286,31747,32216,32699,33215,33699,34190,34703,35229,35790,36312,36858,37398,37953,38587,39168,39724,40284,40952,41580,42196,42795,43361,43968,44608,45175,45801,46417,47047,47659,48313,48933,49623,50268,50946,51618,52316,53015,53700,54384,55112,55813,56562,57329,58086,58841,59662,60438,61314,62113,62950,63830,64751,65645,66600,67599,68631,69634,70659,71776,72924,74098,75343,76590,77866,79148,80408,81760,83075,84458,85874,87348,88848,90475,92099,93762,95406,97073,98725,100531,102292,104009,105842,107676,109570,111434,113281,115236,117186
1,1,1,1,1,3,5,6,6,7,9,10,13,19,23,24,26,31,37,46,51,60,65,73,75,84,91,101,109,123,137,154,164,172,186,201,214,228,236,252,270,283,298,316,329,338,349,368,382,392,406,420,433,452,478,499,517,530,539,551,565,580,596,611,639,659,674,688,708,727,743,764,784,800,827,852,873,900,919,936,956,983,1013,1034,1047,1065,1087,1109,1130,1156,1181,1196,1212,1235,1261,1276,1300,1316,1333,1352,1365,1386,1406,1419,1442,1459,1481,1501,1523,1547,1572,1588,1611,1628,1649,1679,1700,1731,1757,1780,1808,1843,1873,1910,1944,1975,1999,2033,2064,2099,2135,2181,2202,2246,2281,2316,2355,2398,2430,2462,2499,2534,2560,2587,2620,2651,2678,2701,2722,2751,2783,2809,2829,2859,2886,2917,2935,2966,2992,3026,3052,3078,3108,3129,3151,3166,3197,3218,3251,3282,3311,3337,3360,3385,3414,3443,3478,3505,3534,3556,3589,3615,3642,3669,3698,3734,3765,3792,3820,3852,3872,3897,3928,3952,3979,4001,4026,4058,4089,4121,4154,4190,4223,4253,4286,4313,4338,4365,4392,4425,4453,4486,4508,4541,4575,4601,4628,4656,4685,4726,4763,4793,4835,4869,4924,4955,4999,5030,5071,5107,5141,5178,5209,5249,5290,5322,5372,5400,5428,5464,5491,5534,5577,5611,5654,5688,5725,5761,5806,5843,5880,5922,5964,5999,6040,6091,6127,6179,6231,6282,6329,6386,6440,6475,6526,6585,6636,6699,6770,6817,6876,6925,6999,7054,7107,7160,7221,7287,7342,7396,7452,7516,7585,7649,7719,7787,7863,7924,7992,8050,8118,8177,8236,8299,8368,8419,8479,8535,8594,8647,8701,8757,8819,8875,8922,8986,9044,9096,9143,9212,9266,9318,9382,9450,9523,9604,9665,9729,9795,9845,9918,9975,10048,10117,10201,10287,10362,10452,10523,10627,10725,10825,10926,11048,11154,11253,11345,11473,11607,11758,11899,12048,12184,12326,12477,12628,12763,12890,13004,13144,13295,13427,13563,13696,13858,13972,14108,14251,14405,14570,14729,14870,15026,15194,15351,15517,15682,15874,16083,16278,16476,16716,16962,17199,17480,17737,18037,18345,18696,19002,19301,19652,19980,20303,20638,20932,21240,21530,21836,22126,22435,22726,23019,23274,23589,23897,24165,24456,24751,25063,25356,25683,25988,26303,26604,26908,27224,27526,27856,28165,28514,28887,29255,29606,29972,30343,30708,31097,31476,31850,32239,32624,33061,33501,33897,34349,34755,35190,35619,36044,36495,36948,37404,37869,38358,38806,39300,39761,40241,40771,41310,41834,42361,42897,43488,44079,44709,45292,45915,46542,47179,47807,48460,49126,49862,50512,51233,51963,52739,53462,54242,55051,55913,56708,57594,58469,59323,60232,61197,62186,63194,64223,65294,66410,67559,68715,69912,71150,72387,73617,74902,76259,77610,78984,80368,81752,83210,84659,86180,87669,89139,90784,92492,94144,95895,97734,99572
1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,5,7,8,11,11,11,11,12,14,14,17,18,22,25,25,27,29,31,38,40,41,44,44,44,46,49,51,53,55,55,57,59,61,62,64,68,72,73,75,79,81,81,83,85,89,91,95,98,103,112,115,120,122,126,130,132,134,135,137,138,142,146,152,152,156,161,166,168,177,184,191,193,200,205,214,218,219,227,227,229,234,239,245,252,262,274,284,291,305,318,332,346,360,370,381,396,408,424,436,452,472,488,506,520,539,558,578,593,609,622,630,649,670,686,718,737,752,775,792,822,850,875,899,942,983,1018,1049,1083,1106,1130,1161,1192,1225,1258,1298,1334,1374,1403,1444,1474,1505,1541,1579,1616,1645,1682,1710,1744,1771,1796,1842,1862,1902,1932,1961,2001,2032,2063,2105,2136,2174,2199,2225,2264,2294,2325,2354,2374,2404,2432,2454,2488,2518,2543,2580,2609,2643,2672,2690,2718,2756,2785,2809,2829,2851,2885,2918,2942,2965,2986,3014,3042,3070,3083,3109,3131,3151,3171,3197,3218,3233,3255,3267,3287,3302,3321,3338,3354,3369,3381,3391,3400,3413,3425,3436,3447,3453,3463,3473,3481,3492,3509,3525,3536,3552,3565,3580,3596,3607,3630,3652,3668,3685,3705,3730,3749,3776,3801,3831,3858,3885,3916,3945,3972,3993,4020,4046,4068,4085,4110,4130,4146,4167,4196,4213,4228,4254,4270,4297,4323,4339,4357,4374,4399,4423,4453,4476,4509,4534,4560,4595,4619,4647,4682,4713,4737,4765,4799,4832,4854,4898,4931,4962,5002,5046,5096,5157,5209,5262,5333,5404,5500,5574,5671,5777,5870,5959,6038,6139,6231,6324,6429,6540,6653,6786,6921,7067,7204,7366,7510,7670,7852,8049,8284,8512,8769,9062,9336,9637,9901,10179,10477,10784,11113,11475,11855,12232,12634,13050,13472,13831,14260,14705,15089,15449,15857,16297,16667,17082,17482,17798,18223,18609,18982,19387,19749,20124,20506,20942,21350,21755,22225,22685,23214,23708,24233,24766,25296,25842,26373,26953,27457,27998,28570,29117,29677,30260,30860,31436,32073,32685,33357,34009,34620,35305,35992,36619,37328,38037,38747,39458,40116,40792,41558,42234,42895,43602,44291,45008,45728,46497,47254,48015,48812,49621,50476,51343,52227,53196,54064,55101,56061,57165,58220,59274,60403,61479,62647,63768,64980,66139,67342,68546,69725,70913,72162,73491,74748,76035,77369,78703,80031,81391,82762,84189,85606,87042,88528,90005,91519,92996,94512,96051,97678,99294,101015,102734,104494,106217,108065,109981,111950,113921,116038,118016,120064,122143,124289,126500,128730,131000,133248,135575,137931,140278,142814,145329,147883,150504,153204,155855,158580,161326,164185,167176,170045,173135,176259,179397,182541,185738,188973,192180,195590,199074
1,1,1,1,1,2,2,3,3,4,4,9,9,9,11,13,14,15,15,16,18,20,24,28,34,36,39,42,48,53,57,66,72,79,84,92,97,104,110,116,123,133,142,148,157,161,169,177,182,188,199,205,216,223,225,230,238,247,250,258,265,276,283,291,302,311,317,330,337,345,352,360,367,377,384,388,396,401,412,424,434,441,455,475,492,507,518,530,551,563,576,587,603,623,639,656,673,686,700,710,727,743,762,780,792,816,836,858,871,893,912,936,965,992,1014,1033,1052,1071,1098,1112,1130,1148,1166,1183,1192,1213,1237,1256,1276,1298,1315,1329,1344,1358,1368,1379,1393,1405,1418,1435,1446,1456,1471,1490,1506,1511,1526,1540,1551,1565,1573,1584,1595,1606,1617,1625,1632,1644,1652,1664,1672,1680,1694,1710,1718,1730,1755,1777,1791,1806,1813,1827,1837,1857,1872,1884,1899,1919,1936,1950,1962,1974,1986,1997,2008,2022,2041,2057,2068,2080,2089,2107,2120,2132,2142,2159,2170,2180,2195,2207,2227,2236,2255,2275,2289,2303,2324,2336,2350,2358,2371,2389,2409,2428,2457,2470,2485,2504,2531,2551,2570,2590,2609,2627,2640,2660,2687,2709,2743,2761,2790,2814,2839,2864,2888,2909,2927,2961,2989,3022,3053,3083,3111,3142,3179,3218,3248,3280,3310,3343,3374,3411,3454,3492,3530,3574,3618,3658,3691,3731,3778,3821,3861,3922,3963,3994,4036,4076,4119,4164,4231,4282,4345,4399,4438,4497,4551,4595,4638,4693,4743,4799,4853,4907,4965,5021,5078,5155,5205,5277,5355,5437,5535,5654,5794,5894,6004,6139,6268,6387,6528,6674,6829,6985,7122,7258,7418,7547,7691,7827,7975,8134,8276,8450,8597,8743,8926,9117,9304,9483,9676,9893,10082,10304,10511,10718,10931,11136,11375,11626,11888,12153,12383,12610,12867,13109,13407,13669,13931,14182,14446,14708,14986,15230,15463,15697,15968,16230,16475,16731,17003,17262,17544,17819,18097,18348,18591,18850,19118,19417,19709,20015,20297,20597,20905,21220,21532,21819,22144,22488,22823,23153,23504,23874,24243,24615,25037,25428,25810,26251,26644,27062,27527,27958,28433,28902,29434,29961,30435,30996,31570,32164,32753,33356,33998,34609,35227,35895,36567,37284,37996,38742,39506,40277,41037,41847,42655,43479,44295,45168,46031,46914,47792,48771,49706,50726,51757,52736,53787,54812,55905,56996,58043,59112,60210,61394,62588,63838,65091,66350,67608,68961,70332,71704,73099,74505,75947,77427,79017,80537,82081,83698,85335,86996,88634,90321,91985,93753,95563,97373,99145,101059,103058,105172,107181,109293,111473,113741,116124,118427,120878,123293,125787,128371,131013,133713,136514,139355,142247,145161,148139,151242,154283,157428,160537,163603,166814,170116,173450,176800,180267,183709,187148,190637,194196,197800,201510,205253,209103,213118,217032,221058,225195,229427,233858,238284,242679
1,1,1,1,1,3,4,4,7,7,7,8,12,12,12,13,13,13,13,15,15,16,17,18,19,22,25,25,29,32,32,32,35,37,42,49,58,64,71,76,83,87,99,106,116,118,120,127,128,135,140,141,145,155,158,163,168,174,179,183,183,185,193,198,200,206,207,209,218,224,231,240,244,253,262,267,279,290,300,310,320,327,339,348,357,366,371,383,395,407,419,428,440,459,469,486,500,517,528,545,556,573,584,593,601,614,631,648,659,678,690,710,730,741,753,765,779,789,795,800,803,815,824,833,842,852,861,869,882,894,906,916,923,934,944,947,951,958,963,968,970,976,984,990,1001,1008,1015,1021,1029,1035,1040,1051,1061,1070,1080,1087,1096,1104,1120,1130,1144,1151,1164,1174,1180,1188,1197,1207,1215,1222,1233,1242,1249,1266,1280,1291,1300,1312,1319,1326,1336,1339,1343,1350,1366,1376,1385,1392,1402,1415,1426,1431,1440,1451,1463,1471,1484,1501,1515,1528,1545,1557,1580,1592,1607,1628,1650,1672,1695,1714,1742,1772,1789,1808,1830,1850,1879,1910,1934,1964,2002,2029,2055,2087,2109,2139,2165,2198,2224,2253,2286,2316,2353,2391,2428,2465,2494,2529,2562,2587,2626,2658,2696,2736,2773,2813,2871,2910,2971,3037,3088,3137,3187,3236,3277,3340,3403,3463,3524,3603,3677,3767,3833,3894,3974,4046,4114,4201,4279,4367,4448,4539,4624,4729,4826,4934,5047,5161,5270,5368,5485,5596,5694,5795,5898,6028,6147,6288,6424,6569,6709,6847,6994,7141,7304,7460,7617,7783,7963,8145,8333,8514,8704,8905,9104,9289,9455,9677,9884,10085,10310,10511,10720,10943,11194,11456,11723,12003,12304,12607,12936,13310,13631,13945,14294,14626,15014,15378,15772,16137,16497,16930,17291,17636,18069,18452,18882,19301,19715,20195,20641,21125,21615,22118,22609,23118,23649,24217,24756,25315,25888,26450,27042,27662,28307,28874,29572,30267,30984,31673,32383,33123,33861,34676,35459,36234,37020,37880,38782,39663,40572,41444,42340,43294,44193,45122,46095,47051,48059,49098,50156,51160,52250,53340,54423,55580,56769,57975,59191,60414,61736,63101,64442,65785,67132,68530,69862,71195,72530,73936,75253,76697,78005,79413,80811,82192,83550,84991,86437,87879,89281,90723,92188,93676,95217,96777,98370,99979,101615,103281,104993,106832,108709,110469,112393,114274,116194,118103,120171,122304,124448,126638,128871,131128,133446,135854,138304,140662,143043,145485,147908,150476,153049,155637,158327,161056,163855,166726,169658,172714,175662,178633,181730,184924,188147,191574,195011,198423,201821,205373,208948,212662,216506,220298,224160,228102,232041,236056,240164,244363,248556,252875,257274,261818,266508,271137,275793,280676,285416,290366,295508,300729,305983,311188,316577,322115,327693,333480,339284,345187,351163,357140,363222,369359,375736,382213,388693
1,1,1,1,1,2,5,8,10,14,15,16,19,25,28,29,30,32,34,36,38,42,44,45,47,50,55,60,62,69,70,73,77,82,88,95,100,101,105,109,114,115,122,126,133,136,141,148,150,152,156,158,165,169,174,179,186,190,195,202,207,214,219,229,235,245,252,263,268,276,287,292,303,317,328,335,346,351,358,365,371,383,393,409,416,424,435,449,456,468,478,489,497,500,508,518,525,535,546,552,563,570,581,588,594,607,614,625,633,638,648,655,662,671,680,688,696,703,713,719,730,732,739,746,754,761,772,784,793,799,805,814,824,839,846,855,866,879,888,898,912,920,935,942,949,956,968,977,980,984,993,998,1007,1020,1032,1047,1060,1068,1085,1101,1115,1129,1149,1161,1176,1194,1210,1224,1239,1258,1283,1316,1347,1368,1388,1414,1432,1455,1487,1509,1539,1560,1587,1613,1647,1676,1706,1732,1768,1796,1823,1845,1878,1900,1920,1950,1968,2001,2030,2069,2087,2121,2158,2196,2229,2262,2296,2334,2375,2410,2439,2487,2520,2561,2620,2651,2687,2722,2769,2802,2847,2893,2936,2989,3022,3062,3102,3149,3193,3230,3275,3330,3367,3401,3452,3489,3528,3575,3605,3648,3695,3751,3802,3837,3890,3938,3992,4054,4106,4162,4227,4293,4349,4421,4471,4532,4601,4681,4755,4818,4893,4963,5031,5109,5187,5260,5324,5400,5469,5528,5598,5671,5758,5849,5928,6005,6068,6137,6214,6293,6370,6439,6523,6596,6674,6755,6847,6941,7017,7119,7213,7283,7365,7462,7563,7660,7768,7909,8037,8177,8302,8423,8560,8723,8870,9076,9266,9455,9651,9857,10074,10302,10530,10779,11017,11275,11528,11794,12058,12329,12587,12898,13187,13511,13847,14169,14525,14873,15276,15696,16085,16472,16888,17332,17804,18318,18786,19334,19890,20444,21077,21675,22275,22903,23486,24071,24647,25201,25773,26337,26936,27518,28089,28690,29279,29822,30379,30961,31575,32170,32783,33409,34008,34615,35283,35910,36537,37222,37899,38573,39251,39936,40620,41323,42048,42818,43583,44352,45136,45929,46782,47641,48536,49466,50373,51323,52247,53155,54148,55184,56207,57312,58380,59469,60596,61673,62877,64128,65370,66674,67957,69228,70581,71914,73330,74792,76307,77873,79517,81229,82945,84606,86454,88275,90068,91874,93744,95855,97927,100087,102210,104470,106659,108888,111276,113667,116163,118657,121181,123724,126371,129088,131821,134549,137478,140325,143349,146432,149467,152686,155839,159300,162816,166438,170054,173821,177740,181731,185729,189766,193943,198047,202304,206571,210902,215296,219763,224346,228852,233334,238065,242918,247778,252691,257750,262818,267795,273109,278509,284003,289714,295317,300964,306919,312908,318879,324995,331258,337569,344063,350601,357195,363863,370657,377658,384671,391721,398853,406249,413615,421037,428573,436263,444082,452043,460116,468434
1,1,3,5,6,7,7,8,9,9,9,9,9,9,9,11,13,13,14,15,18,21,21,21,24,27,28,28,29,32,32,33,38,38,38,42,42,42,47,47,50,56,56,60,62,64,69,72,77,84,89,91,91,97,101,103,108,113,116,123,127,130,135,141,150,158,167,171,180,191,200,211,218,228,236,241,252,258,262,274,285,297,318,325,345,354,365,373,387,401,409,425,445,453,467,477,496,509,525,535,555,573,592,612,631,651,672,687,715,741,763,789,808,831,858,878,902,939,964,986,1013,1040,1066,1095,1126,1160,1189,1224,1256,1283,1320,1345,1369,1398,1434,1468,1501,1551,1595,1627,1665,1710,1758,1805,1849,1890,1948,1997,2056,2121,2180,2251,2323,2389,2460,2533,2613,2683,2770,2845,2935,3038,3126,3219,3311,3410,3497,3579,3684,3755,3827,3923,4024,4123,4202,4302,4389,4496,4596,4704,4793,4874,4954,5039,5135,5239,5333,5446,5541,5647,5765,5883,6012,6151,6278,6413,6550,6681,6796,6920,7049,7175,7340,7476,7634,7780,7908,8069,8227,8383,8554,8729,8905,9074,9239,9407,9582,9772,9938,10129,10336,10545,10772,10980,11204,11402,11621,11826,12073,12309,12540,12761,13035,13310,13594,13867,14129,14410,14664,14972,15289,15599,15940,16273,16574,16894,17234,17558,17918,18290,18659,19009,19374,19742,20107,20509,20920,21362,21833,22323,22823,23334,23910,24464,25032,25601,26245,26905,27583,28235,28886,29600,30259,30979,31740,32501,33306,34058,34872,35701,36562,37388,38258,39165,40036,40918,41785,42678,43651,44591,45644,46734,47804,48879,49934,51054,52156,53308,54572,55793,57068,58367,59622,61016,62306,63643,65013,66354,67624,68969,70293,71629,72944,74363,75782,77204,78620,79977,81405,82801,84294,85791,87285,88845,90414,92075,93716,95451,97144,98826,100589,102278,104112,105855,107586,109495,111394,113194,115196,117278,119317,121391,123528,125630,127850,130110,132326,134668,136973,139380,141762,144268,146782,149346,152022,154671,157364,160096,162901,165834,168744,171883,175012,178078,181130,184298,187438,190876,194213,197647,201174,204810,208385,211898,215496,219192,222982,226815,230836,234869,238941,243107,247256,251485,255902,260414,264815,269414,273994,278684,283458,288280,293168,298378,303559,308806,314118,319632,325173,330766,336557,342352,348352,354562,360954,367127,373657,380310,387077,393890,400744,407866,415190,422609,430071,437454,445215,452942,460817,468730,476903,485204,493317,501722,510271,518787,527469,536166,545057,554087,563201,572390,581752,591362,601001,610757,620759,631028,641090,651511,661966,672585,683233,694074,704955,716113,727293,738743,750511,762173,774198,786212,798562,810926,823484,836138,848856,861395,874307,887440,900458,913708,927181,940832,954451,967983,981871,995801,1009909,1024080,1038367,1052893,1067212,1082131,1096912,1111768,1126923,1141983,1157372,1172852,1188758,1204712,1220662,1236708,1253034,1269405,1285623,1302324,1319390,1336550,1353660,1370918,1388373,1406059,1423606,1441528,1459459
1,1,1,1,1,1,1,1,4,6,7,8,10,11,13,13,15,16,18,21,26,29,32,37,41,45,49,54,59,63,65,71,76,80,82,85,91,99,101,106,115,119,124,133,137,144,152,154,167,171,181,182,190,194,199,203,207,213,224,233,240,246,255,262,271,276,284,290,298,314,328,343,358,373,390,403,418,435,451,472,486,507,530,549,570,584,598,611,627,644,663,678,699,716,741,755,774,799,811,838,853,879,902,921,942,959,981,1004,1038,1074,1102,1137,1177,1216,1257,1294,1319,1359,1398,1445,1480,1540,1592,1641,1691,1746,1808,1877,1927,1984,2061,2122,2175,2250,2302,2365,2423,2491,2567,2632,2685,2744,2802,2852,2915,2973,3037,3097,3152,3229,3312,3384,3454,3523,3597,3674,3740,3817,3911,3998,4093,4204,4321,4417,4523,4623,4751,4875,4987,5139,5264,5384,5518,5668,5813,5947,6081,6240,6352,6493,6658,6829,6976,7149,7299,7460,7627,7787,7957,8115,8292,8472,8651,8842,9062,9287,9507,9746,9962,10189,10435,10674,10914,11149,11436,11682,11924,12211,12518,12786,13062,13354,13679,13982,14310,14654,14996,15333,15661,16012,16368,16766,17149,17545,17922,18348,18759,19186,19647,20096,20586,21019,21509,21972,22493,22973,23481,24004,24585,25188,25740,26357,26991,27643,28271,28942,29599,30353,31121,31979,32829,33709,34685,35775,36781,37804,38841,40005,41192,42381,43589,44825,46097,47379,48716,50069,51518,53053,54441,55985,57497,59079,60688,62362,64107,65825,67646,69463,71329,73205,75127,77122,79176,81191,83300,85427,87529,89602,91755,94014,96321,98572,100919,103307,105720,108223,110701,113200,115778,118401,120988,123606,126335,129181,131935,134768,137659,140718,143675,146935,150076,153342,156569,159982,163375,167002,170490,174115,177881,181735,185578,189559,193594,197675,201743,206031,210379,214763,219290,223855,228505,233269,238178,243084,248199,253403,258741,264139,269568,275080,280747,286501,292324,298278,304284,310239,316374,322368,328474,334670,340879,347258,353729,360295,366943,373497,380210,387192,394173,401267,408384,415933,423525,431323,439107,446995,455031,463189,471350,479726,488213,497143,506088,515047,524097,533245,542441,551761,561164,570594,580037,589990,600041,610331,620503,630903,641517,652149,662962,673905,684953,696098,707439,718984,730738,742572,754492,766740,779023,791530,804151,816934,829838,842985,856168,869279,882782,896305,910160,924205,938029,952197,966045,980345,994861,1009036,1023844,1038543,1053385,1068324,1083625,1098905,1114498,1130203,1146035,1162046,1178186,1194633,1211217,1228012,1245113,1262244,1279493,1296804,1314595,1332650,1350623,1368847,1387310,1405866,1424364,1443254,1461943,1480720,1499842,1518829,1537785,1556974,1576238,1595812,1615023,1634472,1653968,1673572,1693428,1713304,1733178,1753530,1773912,1794193,1814396,1834553,1855305,1876324,1897106,1918202,1939099,1959962,1981055,2002067,2023368,2044517,2065694,2087252,2108751,2130259,2151574,2173213,2194802,2216498,2238469,2260514,2282495,2304596,2326832,2349016,2371302,2393475,2416063,2438587,2461196,2483975,2506920,2530219,2553127,2575965,2599170
1,1,1,4,5,7,7,9,9,15,15,19,22,27,30,33,35,40,48,52,55,61,68,73,76,82,90,99,108,119,127,132,139,147,155,160,174,180,191,204,213,223,232,250,264,272,282,288,294,298,307,320,326,339,351,359,369,374,382,391,398,406,420,429,437,441,459,477,489,504,519,532,539,547,554,564,576,590,607,619,636,656,674,695,712,732,752,768,783,805,821,839,853,871,887,900,909,932,948,965,984,1007,1020,1042,1061,1088,1107,1119,1136,1147,1178,1194,1216,1241,1260,1291,1317,1342,1382,1416,1461,1501,1537,1575,1629,1681,1736,1792,1838,1896,1932,1985,2039,2086,2148,2203,2257,2321,2378,2441,2500,2551,2619,2684,2753,2824,2888,2963,3032,3118,3207,3295,3371,3457,3548,3635,3725,3808,3902,3986,4085,4169,4257,4340,4419,4509,4605,4697,4788,4866,4955,5050,5134,5220,5320,5407,5487,5588,5723,5830,5943,6059,6166,6283,6392,6484,6635,6739,6872,6982,7122,7255,7386,7546,7674,7803,7942,8084,8224,8373,8511,8650,8836,8997,9159,9322,9492,9666,9828,10005,10201,10395,10592,10783,10992,11192,11385,11593,11816,12051,12284,12546,12762,12990,13224,13489,13753,14076,14407,14747,15087,15430,15819,16185,16565,16947,17348,17788,18210,18675,19125,19603,20043,20515,20994,21472,22004,22494,23041,23586,24138,24677,25229,25806,26375,26948,27582,28209,28899,29532,30264,30941,31639,32370,33075,33795,34561,35302,36131,36945,37739,38627,39472,40312,41239,42184,43148,44093,45003,45924,46932,47890,48861,49841,50841,51895,52900,53939,55040,56105,57209,58328,59476,60636,61791,62936,64221,65463,66677,67979,69301,70637,71959,73355,74761,76228,77767,79332,80952,82571,84322,85925,87638,89398,91277,93117,95051,96998,98952,100878,102939,104972,107109,109251,111485,113721,116009,118317,120846,123420,125975,128617,131274,133962,136688,139553,142464,145401,148540,151659,154857,158056,161333,164738,168253,171651,175287,178900,182593,186158,189967,193926,197833,201866,206010,210223,214435,218629,222950,227412,231766,236362,241131,245839,250702,255591,260542,265719,270961,276154,281551,286917,292512,298119,303857,309818,315850,321997,328380,334773,341366,348073,354890,361817,368728,375929,383243,390660,398263,405951,413576,421426,429488,437681,445883,454219,462644,471004,479639,488375,497256,506476,515835,525149,534643,544270,553968,563864,573914,583911,593971,604376,614624,625111,635840,646588,657544,668698,680002,691228,702714,714408,726120,737885,749853,761774,773973,786264,798432,810866,823334,835916,848751,861595,874607,887781,900928,914276,927613,941307,955121,968908,983041,997204,1011479,1025783,1040181,1054755,1069587,1084354,1099209,1114239,1129292,1145017,1160648,1176518,1192529,1208471,1224464,1240942,1257290,1273555,1290115,1307168,1324448,1341661,1359057,1376706,1394330,1412260,1430430,1448548,1466891,1485337,1504089,1523235,1542346,1561437,1580575,1600256,1619801,1639520,1659540,1679694,1699839,1720010,1740449,1760881,1781231,1802059,1822915,1844024,1865064,1886076,1907261,1928723,1950331
1,1,1,1,1,1,1,3,5,8,9,11,12,15,17,17,20,22,26,28,31,35,38,40,43,45,49,52,57,62,68,75,82,90,102,111,119,124,138,152,166,179,199,218,232,248,258,271,284,298,313,333,352,381,414,452,478,513,545,583,615,657,682,709,740,782,817,861,904,946,977,1029,1070,1113,1152,1196,1247,1312,1356,1400,1455,1515,1574,1623,1692,1761,1823,1891,1978,2045,2105,2163,2243,2323,2406,2480,2557,2644,2721,2790,2851,2918,2987,3052,3115,3189,3267,3362,3437,3506,3582,3661,3738,3832,3938,4018,4119,4217,4321,4404,4514,4624,4723,4836,4970,5087,5209,5353,5487,5635,5767,5903,6054,6214,6365,6492,6656,6808,6972,7156,7324,7503,7687,7859,8057,8260,8481,8697,8918,9132,9324,9558,9807,10064,10355,10628,10936,11250,11548,11879,12202,12531,12868,13233,13576,13968,14343,14713,15065,15486,15826,16200,16552,16945,17377,17799,18253,18672,19144,19631,20154,20594,21074,21582,22128,22642,23155,23713,24238,24803,25369,25894,26441,26984,27498,28050,28551,29087,29589,30160,30734,31349,31892,32526,33108,33756,34391,35056,35776,36465,37159,37907,38657,39407,40206,41026,41849,42688,43601,44518,45451,46411,47354,48359,49304,50307,51279,52223,53171,54120,55055,56019,57017,58024,59035,60050,61097,62120,63203,64332,65462,66560,67699,68830,70007,71241,72443,73763,75003,76352,77689,79128,80607,82131,83739,85366,87133,88873,90648,92579,94463,96372,98464,100486,102590,104682,106880,109132,111507,113818,116228,118742,121221,123693,126300,128852,131506,134199,136906,139714,142550,145325,148241,151132,154181,157305,160379,163401,166673,170094,173521,176974,180510,184029,187664,191311,195085,198772,202582,206245,210156,214004,218000,221924,226032,230137,234265,238461,242809,247095,251453,255871,260448,265027,269642,274347,279179,284079,289177,294224,299466,304599,309826,315291,320824,326382,331831,337580,343473,349378,355576,361519,367645,373999,380380,386931,393698,400657,407455,414329,421265,428390,435802,443411,450894,458465,465999,473735,481704,489671,497767,505824,514108,522478,530922,539466,547961,556625,565555,574614,583644,592794,601898,611279,620855,630572,640251,650182,660104,670200,680505,690818,701349,711993,722717,733527,744701,755923,767393,778922,790523,802348,814300,826370,838540,851019,863735,876195,889112,902295,915337,928586,942192,955618,969441,983231,997161,1011145,1025223,1039568,1054129,1068702,1083449,1098538,1113785,1129062,1144367,1160046,1175985,1191874,1207860,1223771,1240199,1256602,1273234,1289855,1306518,1323392,1340501,1357822,1375363,1392788,1410606,1428417,1446420,1464725,1483325,1501869,1520192,1538720,1557559,1576618,1595966,1615366,1635009,1654740,1674591,1694361,1714744,1734750,1755225,1775756,1796286,1816848,1837437,1858424,1879388,1900737,1922215,1943796,1965404,1987185,2009009,2031175,2053572,2076536,2099124,2121684,2144596,2167968,2191335,2214601,2237771,2261511,2285045,2309100,2332941,2357168,2381399,2405925,2429903,2453963,2478412,2502930,2527607,2552035,2576816,2601822,2626950,2651867,2676884,2702126,2727393,2752877,2778128,2803755,2829319,2855119,2881127,2907084,2933666,2960030,2986493,3012925,3039501,3066266,3092948
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1,1,2,4,5,5,5,6,9,10,11,14,16,17,19,21,23,27,30,35,39,43,45,47,51,56,60,64,68,73,79,81,91,97,106,112,114,120,131,140,153,163,174,182,198,206,220,234,242,258,282,301,322,337,354,383,399,421,437,463,480,499,522,546,564,579,611,627,646,665,689,712,732,751,777,803,821,845,879,902,927,956,975,1006,1032,1053,1081,1111,1130,1154,1180,1217,1253,1278,1302,1320,1354,1383,1408,1436,1475,1498,1522,1551,1582,1614,1637,1663,1686,1705,1727,1749,1769,1791,1822,1850,1877,1900,1922,1944,1969,1992,2020,2045,2066,2088,2112,2141,2164,2181,2204,2229,2250,2282,2306,2322,2350,2371,2393,2408,2423,2443,2462,2482,2497,2513,2522,2541,2551,2559,2568,2583,2599,2615,2623,2640,2655,2664,2671,2685,2697,2711,2733,2749,2762,2773,2783,2801,2823,2834,2845,2855,2870,2891,2910,2936,2956,2974,2987,3009,3026,3040,3053,3068,3094,3116,3135,3160,3189,3217,3246,3288,3331,3357,3397,3455,3519,3613,3703,3795,3885,3977,4080,4186,4331,4442,4539,4650,4740,4843,4955,5059,5146,5231,5309,5382,5459,5545,5657,5758,5872,5979,6086,6202,6318,6469,6594,6739,6893,7034,7183,7322,7473,7601,7741,7867,8017,8154,8286,8445,8599,8759,8925,9094,9285,9492,9681,9880,10075,10296,10475,10699,10925,11158,11414,11671,11970,12284,12628,12972,13350,13701,14050,14428,14813,15241,15680,16080,16484,16906,17313,17747,18173,18587,18999,19440,19829,20261,20721,21182,21622,22110,22602,23089,23601,24141,24662,25271,25829,26439,27048,27646,28328,29000,29633,30333,31014,31678,32388,33059,33769,34557,35387,36212,37072,37931,38815,39686,40597,41492,42362,43254,44178,45083,45998,46908,47791,48690,49606,50551,51448,52421,53354,54278,55245,56265,57294,58308,59377,60421,61432,62365,63348,64360,65336,66323,67287,68274,69275,70271,71257,72281,73316,74409,75395,76419,77509,78645,79725,80889,82107,83274,84525,85759,87100,88444,89752,91111,92457,93860,95294,96830,98326,99894,101510,103041,104628,106210,107876,109561,111307,113042,114804,116607,118467,120399,122382,124412,126511,128574,130713,132925,135234,137492,139795,142086,144497,147047,149633,152301,154909,157573,160323,163181,166064,168835,171782,174701,177609,180591,183585,186688,189809,193096,196230,199665,203042,206430,209993,213523,217102,220780,224371,228098,231952,235839,239795,243908,247958,252055,256184,260471,264730,269103,273592,278163,282742,287355,292007,296908,301797,306805,311854,316893,321920,327160,332476,337869,343250,348662,354204,359963,365740,371438,377198,383213,389326,395378,401608,407900,414154,420579,427004,433554,440232,447080,454332,461557,468928,476313,483696,491304,498991,506665,514669,522638,531096,539515,548211,556822,565577,574544,583482,592529,601728,611125,620708,630221,640201,650191,660229,670672,681130,691616,702236,713225,724368,735248,746481,757867,769416,781074,792866,804567,816779,829030,841065
1,1,1,1,2,2,2,2,3,4,4,5,6,7,7,8,9,10,10,12,15,16,20,22,26,30,40,45,50,55,59,66,71,77,81,84,91,98,105,112,116,124,129,134,135,139,147,149,160,164,165,171,173,180,183,187,197,206,212,230,244,251,256,265,274,280,284,290,296,304,311,326,337,346,358,365,376,388,397,406,418,429,443,451,460,478,491,508,521,535,551,568,589,613,631,649,668,691,709,729,738,761,780,798,811,827,844,872,884,902,918,928,940,958,973,992,1006,1024,1046,1072,1089,1115,1138,1164,1181,1198,1220,1239,1267,1289,1315,1342,1378,1412,1432,1472,1502,1528,1547,1582,1622,1658,1698,1738,1782,1832,1883,1943,1989,2034,2093,2146,2200,2267,2334,2407,2460,2538,2609,2692,2758,2824,2891,2981,3078,3157,3260,3367,3470,3563,3660,3739,3834,3926,4014,4118,4221,4319,4438,4526,4632,4764,4879,4974,5079,5193,5322,5434,5554,5687,5835,5970,6119,6271,6446,6595,6738,6895,7013,7159,7295,7475,7642,7795,7977,8130,8307,8472,8640,8801,8950,9105,9281,9437,9608,9792,9965,10139,10316,10517,10698,10896,11088,11302,11527,11744,11948,12163,12400,12652,12875,13103,13326,13562,13818,14042,14285,14517,14781,15055,15294,15581,15874,16166,16441,16690,16988,17265,17585,17857,18199,18527,18829,19185,19544,19911,20295,20674,21020,21413,21807,22180,22555,23000,23443,23894,24312,24733,25156,25609,26086,26584,27076,27572,28114,28713,29282,29874,30479,31040,31659,32306,32944,33588,34217,34825,35489,36172,36852,37506,38244,38957,39636,40362,41085,41829,42584,43343,44119,44872,45644,46446,47240,48046,48881,49761,50655,51573,52468,53381,54276,55302,56257,57228,58284,59326,60412,61476,62559,63675,64846,65995,67049,68222,69440,70610,71859,73090,74379,75613,76872,78136,79366,80714,82055,83425,84788,86114,87516,88920,90323,91785,93224,94791,96277,97849,99435,101006,102606,104245,105943,107601,109271,110990,112789,114582,116371,118221,120041,121920,123839,125708,127640,129672,131805,133811,135882,137958,140139,142379,144669,146947,149272,151552,154046,156433,158996,161489,163969,166592,169188,171911,174738,177469,180363,183224,186207,189179,192357,195477,198670,202007,205376,208696,212048,215408,218696,222251,225867,229568,233346,237198,241110,244962,248902,252904,257010,261028,265211,269387,273688,278035,282439,286804,291328,295911,300671,305378,310168,315034,320163,325185,330365,335690,341022,346546,352219,357807,363749,369410,375211,381053,387218,393179,399325,405623,411777,418126,424677,431086,437783,444571,451392,458253,465305,472589,479824,487284,494832,502572,510374,518340,526483,534655,542912,551175,559617,568237,576800,585617,594551,603543,612819,622164,631815,641405,651232,661099,671150,681304,691713,702108,712740,723333,734169,745152,756487,767904,779434,791366,803097,815267,827567,840246,852885,865711,878805,892095,905625,919214,933059,947151,961364,975764,990515,1005330,1020481
1,1,1,1,1,1,1,2,4,4,5,5,5,5,7,9,10,11,12,16,21,22,26,30,30,33,40,46,49,54,59,63,68,72,78,85,90,93,104,111,119,122,125,128,132,142,145,149,150,154,158,160,167,172,177,181,184,187,192,196,197,199,203,206,208,212,217,225,233,237,242,248,249,254,261,268,278,281,287,295,304,313,329,341,347,356,360,370,374,379,384,390,400,402,414,415,420,424,425,430,435,441,445,448,451,452,453,456,463,467,470,476,479,481,488,495,498,504,508,517,522,526,530,536,545,550,556,563,569,577,581,585,595,605,617,625,634,638,643,648,656,665,670,688,695,700,705,712,718,723,729,738,742,747,756,769,776,784,795,805,814,825,835,846,857,866,869,879,888,901,913,922,936,941,956,965,977,987,993,1008,1020,1037,1052,1065,1083,1103,1123,1135,1149,1169,1185,1198,1215,1228,1245,1270,1286,1305,1318,1336,1364,1394,1422,1444,1474,1502,1534,1558,1607,1659,1727,1783,1839,1916,1983,2059,2143,2233,2325,2410,2495,2576,2662,2753,2836,2919,3000,3105,3225,3346,3438,3533,3650,3754,3855,3953,4063,4176,4284,4388,4498,4597,4683,4774,4868,4942,5008,5090,5169,5244,5315,5392,5456,5526,5589,5647,5704,5745,5801,5850,5900,5952,6011,6071,6123,6169,6217,6263,6306,6352,6392,6431,6479,6533,6577,6625,6695,6749,6805,6865,6932,7014,7088,7193,7278,7391,7500,7647,7786,7929,8064,8208,8343,8494,8628,8765,8906,9030,9164,9281,9409,9532,9678,9793,9902,10024,10141,10254,10375,10497,10613,10760,10904,11035,11176,11313,11454,11630,11785,11982,12176,12377,12576,12782,12976,13183,13401,13615,13829,14054,14264,14457,14701,14966,15196,15426,15706,15969,16246,16528,16854,17193,17491,17790,18133,18442,18789,19132,19483,19862,20244,20601,20938,21315,21720,22095,22477,22839,23256,23646,24005,24397,24791,25185,25586,26012,26403,26837,27261,27672,28072,28509,28963,29414,29834,30333,30774,31219,31738,32224,32728,33269,33808,34351,34928,35476,36034,36658,37272,37929,38581,39262,40019,40751,41525,42339,43181,44030,44896,45726,46641,47547,48460,49426,50436,51414,52468,53478,54527,55631,56778,57924,59075,60331,61500,62796,64142,65448,66770,68150,69565,71031,72380,73779,75215,76723,78143,79698,81323,82898,84531,86141,87884,89523,91131,92841,94627,96487,98259,100135,102027,103971,106000,108024,110061,112085,114207,116363,118633,120959,123332,125829,128394,130974,133653,136431,139248,142184,145200,148207,151231,154376,157454,160677,164017,167242,170667,174121,177518,180982,184610,188337,192165,195958,199965,204055,208039,212108,216333,220568,224942,229472,233949,238543,243174,248034,252978,257786,262785,267942,273244,278677,284137,289813,295499,301360,307133
1,1,1,1,1,1,1,2,3,4,6,7,8,9,11,11,11,12,13,14,15,16,18,18,21,24,25,30,30,30,34,35,35,36,40,46,48,51,55,62,66,70,74,77,83,89,102,105,110,114,117,120,124,133,139,145,149,157,162,171,175,178,183,186,190,202,210,215,221,228,238,247,254,259,262,266,268,271,280,285,290,296,303,306,313,318,323,329,337,340,343,349,350,352,356,361,366,372,378,383,390,394,396,401,408,414,422,431,432,435,438,440,444,450,458,462,466,470,476,485,489,497,504,512,526,536,542,547,552,558,571,580,587,598,608,622,634,643,661,675,689,707,728,745,771,788,810,833,859,881,910,930,959,970,1000,1041,1066,1093,1122,1144,1166,1189,1219,1238,1260,1282,1309,1338,1351,1374,1402,1422,1442,1462,1480,1501,1526,1546,1569,1593,1609,1633,1652,1678,1700,1730,1755,1786,1805,1837,1868,1892,1947,2004,2054,2102,2158,2207,2269,2374,2459,2575,2695,2815,2933,3067,3202,3332,3473,3627,3780,3936,4105,4242,4379,4541,4739,4913,5102,5308,5527,5745,5942,6209,6452,6724,7008,7245,7491,7781,8090,8393,8703,9052,9393,9669,9954,10251,10553,10875,11196,11504,11795,12062,12342,12602,12894,13187,13468,13741,14005,14290,14558,14840,15106,15397,15677,15975,16286,16620,16953,17319,17653,18037,18432,18882,19274,19656,20089,20567,21035,21508,21990,22476,22982,23485,23962,24561,25117,25703,26295,26891,27553,28192,28892,29564,30248,31011,31761,32524,33248,34027,34827,35610,36355,37185,37964,38719,39567,40323,41158,42032,42868,43700,44515,45356,46161,47002,47806,48674,49532,50467,51389,52297,53196,54182,55192,56175,57199,58198,59283,60340,61434,62547,63722,64837,66018,67343,68651,70019,71418,72829,74315,75778,77324,78941,80543,82228,83845,85582,87395,89189,91112,92995,94868,96810,98747,100808,102908,105044,107140,109323,111621,113892,116257,118693,121204,123663,126258,128946,131581,134282,137016,139727,142495,145350,148284,151247,154220,157287,160472,163601,166877,170151,173339,176770,180378,183946,187572,191276,195104,198973,202892,206948,211089,215381,219721,224013,228502,232840,237480,242246,247114,252097,257091,262124,267274,272466,277743,282972,288514,293936,299597,305155,310927,316786,322750,328638,334606,340695,346976,353361,359736,366384,373198,380099,387076,393962,401135,408350,415709,423265,430859,438726,446416,454239,462361,470541,478913,487365,495883,504635,513400,522349,531377,540725,550151,559702,569361,579167,589278,599415,609600,620102,630741,641555,652283,663089,674079,685257,696612,707981,719438,731183,742819,754728,766689,778605,790803,803353,816034,828709,841554,854663,867926,881403,895037,909014,923066,937537,952087,966910,982009,997100,1012589,1028281,1044348,1060291,1076300,1092702,1109374,1126183,1143011,1160021,1177277,1194621,1212238,1230132,1247938,1265997,1284422,1302883,1321399,1339874,1358496,1377392,1396469
1,1,1,4,7,9,9,9,10,11,13,14,17,21,21,22,24,25,27,31,33,34,39,40,41,45,49,50,52,61,66,74,77,83,89,92,99,104,113,123,132,143,149,159,166,171,175,185,187,197,204,206,213,224,232,240,251,254,260,265,270,276,279,288,293,299,306,309,316,323,329,335,340,346,347,350,354,359,363,365,370,377,379,381,385,388,389,392,397,398,402,406,410,413,416,417,423,427,431,435,440,446,448,451,453,457,461,464,468,471,477,481,489,496,503,507,513,518,526,537,544,548,556,562,573,583,589,604,614,620,627,639,647,655,663,675,688,702,712,721,734,748,757,767,775,784,797,809,823,831,845,859,871,885,898,917,931,949,961,983,1016,1037,1047,1062,1090,1111,1132,1168,1194,1225,1248,1277,1302,1329,1349,1386,1428,1462,1503,1549,1576,1619,1657,1686,1716,1749,1775,1807,1848,1893,1933,1961,2002,2031,2066,2116,2155,2202,2251,2292,2338,2376,2422,2456,2495,2530,2562,2599,2640,2672,2705,2739,2777,2818,2854,2890,2936,2971,3019,3067,3101,3138,3184,3239,3306,3375,3437,3481,3547,3603,3668,3728,3790,3843,3895,3951,4007,4054,4129,4202,4293,4369,4434,4513,4585,4654,4741,4837,4920,5017,5102,5191,5288,5382,5491,5601,5702,5799,5900,5998,6112,6229,6349,6460,6594,6702,6818,6931,7056,7164,7283,7394,7514,7638,7783,7916,8063,8210,8345,8478,8631,8767,8902,9078,9219,9366,9537,9689,9857,10034,10208,10392,10587,10757,10935,11132,11298,11519,11707,11920,12117,12355,12562,12792,13002,13221,13452,13704,13991,14274,14569,14864,15188,15502,15873,16221,16604,16975,17322,17728,18144,18570,18997,19427,19898,20356,20810,21248,21724,22212,22706,23184,23657,24158,24617,25141,25689,26263,26896,27489,28151,28825,29500,30170,30814,31519,32236,32954,33676,34379,35173,35982,36765,37594,38433,39312,40172,41049,41893,42747,43682,44597,45554,46540,47470,48451,49475,50452,51443,52489,53481,54514,55557,56601,57691,58802,59956,61067,62181,63354,64480,65693,66911,68127,69400,70650,71983,73340,74684,76086,77467,79014,80570,82112,83739,85296,86913,88615,90357,92204,94033,95944,97896,99878,101877,103794,105923,108062,110152,112241,114456,116627,118937,121280,123707,126180,128808,131413,134132,136881,139587,142319,145112,147962,150980,153905,156999,160036,163077,166239,169512,172938,176329,179848,183343,186877,190668,194586,198471,202387,206453,210481,214742,219002,223297,227668,232145,236552,241190,245819,250472,255190,259934,264886,269877,274882,279962,285240,290659,296057,301622,307280,312913,318594,324378,330271,336321,342468,348726,355159,361565,368005,374599,381401,388234,395012,402128,409373,416566,424022,431552,439072,446729,454458,462422,470301,478499,486605,494938,503478,512148,520874,529725,538632,547579,556707,566025
1,1,1,1,1,2,2,3,4,5,6,6,7,8,11,12,14,14,16,18,18,18,18,21,22,22,24,24,26,30,33,37,38,41,43,47,53,57,59,69,79,83,89,96,102,103,112,121,127,132,136,150,159,167,182,196,205,211,216,224,239,245,261,268,279,289,293,301,321,333,347,363,372,378,391,406,426,437,449,459,471,488,502,516,538,550,564,579,591,606,623,641,654,671,687,707,728,746,769,798,822,850,872,892,923,947,971,999,1021,1048,1075,1102,1135,1165,1191,1205,1236,1266,1286,1312,1342,1387,1417,1451,1489,1520,1554,1581,1602,1635,1669,1705,1737,1770,1800,1831,1859,1895,1924,1958,1994,2028,2060,2099,2146,2188,2216,2252,2288,2323,2378,2420,2473,2525,2573,2620,2663,2734,2810,2900,2995,3095,3214,3335,3469,3608,3754,3890,4061,4210,4335,4493,4646,4800,4958,5124,5302,5494,5693,5920,6118,6356,6590,6837,7090,7344,7584,7850,8097,8344,8628,8910,9183,9469,9739,10037,10277,10523,10800,11070,11324,11567,11827,12068,12312,12544,12741,12909,13121,13328,13555,13785,14051,14292,14534,14770,15009,15286,15524,15781,16028,16282,16563,16824,17127,17427,17706,18009,18314,18646,18981,19321,19673,20027,20381,20751,21129,21508,21942,22368,22801,23268,23718,24159,24615,25066,25515,25980,26506,27027,27568,28082,28595,29102,29651,30179,30719,31260,31804,32413,33042,33635,34288,34930,35575,36251,36955,37683,38449,39181,40003,40798,41634,42465,43334,44177,45023,45915,46724,47607,48535,49429,50321,51257,52268,53315,54425,55571,56707,57876,59044,60236,61570,62929,64325,65755,67228,68668,70186,71649,73247,74894,76533,78222,79849,81569,83379,85156,86914,88753,90561,92490,94434,96386,98323,100218,102193,104230,106403,108676,110875,113052,115400,117649,120005,122396,124828,127479,130025,132634,135290,137865,140596,143375,146209,149026,152007,154945,157880,160900,163859,166954,170222,173528,176813,180135,183422,186797,190256,193839,197517,201188,204898,208888,212737,216686,220648,224701,228684,232807,236803,241035,245201,249552,253940,258352,262822,267354,271974,276688,281602,286445,291422,296672,301832,307012,312401,318009,323532,329015,334631,340564,346458,352449,358525,364819,371403,377962,384755,391741,398907,406030,413373,420934,428564,436325,444259,452206,460433,468761,477121,485707,494440,503111,512087,521356,530629,540024,549599,559389,569462,579625,589907,600182,610761,621386,631947,643012,654421,665615,676844,688488,699880,711574,723230,735293,747461,759742,772053,784710,797354,810211,823164,836204,849257,862629,876175,889947,903880,917831,931643,945858,960186,974678,989334,1004225,1019261,1034630,1050169,1066004,1081799,1097538,1113768,1130211,1146812,1163325,1180112,1197154,1214083,1231415,1249009,1266878,1284678,1302555,1320484,1338716,1357217,1375683,1394249,1413166,1432345,1451511,1470822,1490403,1509989,1529969,1549793,1569850,1590232,1610566,1631165,1651966,1672906,1693620,1714614,1735922,1757105,1778932,1800392,1822094,1843790,1865880,1888056,1910180,1932665,1955299,1977902
1,1,2,2,3,4,4,6,8,8,10,10,13,18,18,19,21,22,23,25,27,29,29,29,30,33,35,35,39,40,42,43,44,44,44,45,46,47,47,47,47,49,50,55,56,59,62,64,64,65,70,71,75,79,84,87,89,90,94,95,96,100,108,113,117,128,130,133,134,142,145,147,156,161,166,170,177,184,195,199,204,212,217,224,225,227,235,240,242,245,251,252,254,262,265,269,271,273,278,279,282,294,304,312,318,333,353,360,369,385,400,425,468,510,543,580,623,676,726,765,825,863,922,979,1037,1086,1125,1169,1218,1268,1316,1360,1400,1432,1466,1505,1538,1571,1605,1633,1669,1698,1721,1744,1773,1798,1823,1850,1875,1892,1913,1936,1958,1978,1993,2010,2032,2052,2063,2082,2096,2107,2123,2143,2157,2171,2185,2199,2210,2220,2239,2257,2273,2286,2301,2315,2326,2342,2357,2367,2383,2403,2424,2455,2480,2507,2534,2564,2609,2638,2671,2705,2738,2767,2792,2832,2870,2907,2938,2976,3016,3056,3092,3138,3179,3221,3257,3291,3319,3370,3419,3462,3498,3543,3579,3613,3653,3694,3741,3790,3829,3885,3924,3964,4014,4060,4105,4144,4188,4219,4255,4284,4311,4350,4390,4427,4463,4495,4529,4577,4617,4653,4703,4752,4786,4832,4870,4935,4980,5020,5084,5133,5177,5220,5267,5310,5359,5408,5461,5524,5567,5628,5684,5726,5766,5804,5848,5891,5935,5984,6030,6087,6134,6182,6231,6266,6313,6353,6400,6444,6471,6516,6553,6589,6627,6663,6711,6748,6787,6823,6860,6904,6929,6979,7016,7049,7082,7122,7161,7205,7247,7299,7338,7370,7413,7447,7495,7540,7591,7630,7670,7705,7745,7772,7820,7860,7892,7927,7960,8007,8046,8085,8123,8170,8199,8225,8265,8299,8332,8371,8407,8437,8473,8512,8548,8589,8624,8656,8685,8728,8765,8803,8838,8880,8921,8959,8980,9012,9042,9074,9114,9152,9201,9234,9275,9308,9343,9377,9403,9453,9483,9520,9558,9596,9632,9671,9707,9750,9798,9833,9868,9903,9948,9998,10052,10112,10168,10212,10257,10308,10377,10422,10489,10570,10643,10703,10760,10826,10895,10959,11024,11086,11146,11211,11281,11357,11417,11484,11559,11632,11708,11765,11835,11915,11999,12095,12170,12278,12365,12479,12590,12700,12819,12941,13103,13271,13433,13603,13792,13959,14149,14341,14540,14725,14912,15098,15318,15549,15787,15973,16194,16452,16678,16893,17140,17389,17647,17920,18199,18477,18760,19076,19371,19673,20001,20312,20631,20998,21347,21703,22064,22455,22834,23224,23638,24046,24440,24874,25279,25742,26153,26568,27045,27508,27993,28470,28903,29407,29899,30364,30875,31399,31916,32483,33065,33658,34307,34909,35499,36197,36904,37569,38261,39043,39806,40550,41357,42156,43007,43829,44691,45581,46475,47358,48296,49205,50086
1,1,1,1,1,1,2,4,5,5,5,8,10,10,10,10,10,10,12,14,14,15,17,17,19,21,24,24,25,26,31,33,38,40,42,44,51,55,62,75,83,93,102,116,129,138,153,170,194,207,226,249,271,298,320,340,365,394,431,458,485,508,534,558,586,615,644,678,707,733,764,799,833,868,898,926,954,993,1030,1054,1093,1125,1163,1211,1249,1309,1354,1407,1456,1500,1547,1602,1656,1689,1732,1796,1857,1917,1967,2019,2089,2155,2216,2274,2329,2384,2445,2510,2568,2645,2709,2780,2838,2924,3011,3075,3165,3252,3350,3448,3537,3629,3729,3817,3928,4035,4136,4233,4335,4449,4538,4650,4766,4878,5009,5139,5286,5419,5568,5684,5852,5979,6113,6253,6388,6518,6660,6818,6995,7166,7354,7556,7784,7969,8198,8411,8642,8898,9161,9488,9784,10084,10419,10758,11136,11503,11853,12263,12680,13065,13475,13851,14244,14672,15154,15577,15991,16461,16915,17368,17823,18352,18884,19380,19971,20502,21107,21708,22303,22946,23639,24298,24922,25571,26164,26825,27528,28222,28933,29624,30371,31054,31817,32497,33222,33948,34682,35424,36127,36930,37661,38458,39203,39980,40756,41504,42326,43194,44038,44959,45797,46695,47556,48454,49371,50353,51286,52239,53229,54171,55134,56137,57188,58229,59299,60333,61397,62471,63581,64698,65787,66953,68103,69315,70517,71686,72972,74317,75686,76972,78388,79711,81038,82399,83761,85191,86676,88154,89676,91251,92785,94373,95951,97611,99254,100931,102600,104373,106143,107922,109765,111602,113523,115442,117518,119447,121456,123599,125755,127959,130065,132265,134637,136918,139260,141707,144191,146815,149395,151924,154577,157207,159804,162629,165313,168161,171023,174009,176998,180147,183191,186377,189654,193037,196288,199578,202960,206478,210064,213775,217543,221436,225472,229410,233530,237698,241750,246153,250612,255110,259794,264558,269444,274520,279391,284578,289774,295156,300590,306124,311651,317139,322871,328513,334261,340095,345908,351953,358208,364449,370674,376980,383446,389872,396392,403260,410130,416997,424075,431314,438639,446157,453662,461188,468771,476507,484351,492443,500656,508950,517540,526112,534755,543677,552669,561948,571091,580315,589765,599315,609111,618769,628765,638852,648672,658895,669311,679857,690676,701490,712284,723330,734249,745468,756820,768240,779971,791742,803613,815571,827669,839877,852297,864978,877995,890837,904123,917331,931013,944739,958586,972397,986464,1000734,1015067,1029624,1044160,1058835,1073777,1089200,1104380,1119768,1135220,1150764,1166398,1182118,1198149,1214032,1230234,1246519,1262993,1279646,1296076,1312994,1329811,1346836,1363738,1381099,1398676,1416207,1433999,1451952,1469908,1488114,1506519,1525216,1544110,1563174,1582260,1601534,1620966,1640592,1660427,1680355,1700531,1720692,1741048,1761449,1781798,1802764,1823933,1844743,1865709,1886694,1907983,1929318,1950609,1972083,1993360,2015048,2036446,2058404,2080125,2102012,2123951,2146143,2168595,2191009,2213439,2236267,2259007,2281873,2304691,2327557,2350893,2374412,2397882,2421371,2445022,2468919,2492502,2516007,2539890,2563669,2587698,2611705,2635739,2659676,2684234,2708812,2733139,2757679,2782536,2807190,2832110,2857178,2882595
1,1,1,1,1,1,1,4,4,4,4,4,6,9,11,15,21,25,28,29,31,35,40,43,48,53,57,62,63,67,77,84,89,94,95,98,102,105,111,118,123,129,133,137,140,145,152,154,161,169,175,178,182,185,188,192,197,204,209,211,221,227,235,240,243,246,255,261,268,274,281,287,295,303,318,328,342,349,359,368,377,382,385,394,398,405,416,426,440,452,464,472,479,488,494,504,515,526,535,544,549,553,564,570,582,589,597,602,609,614,629,638,647,655,668,677,687,697,709,721,726,734,744,753,763,773,784,792,803,817,832,848,858,874,884,898,905,911,920,929,940,950,954,963,974,984,993,1009,1021,1029,1035,1047,1058,1069,1089,1102,1112,1122,1135,1151,1168,1189,1207,1233,1250,1257,1273,1295,1325,1346,1362,1391,1408,1429,1465,1490,1515,1553,1590,1612,1635,1670,1701,1729,1752,1781,1810,1847,1873,1901,1918,1940,1964,1989,2014,2042,2065,2091,2117,2145,2162,2187,2210,2238,2255,2287,2309,2346,2372,2398,2423,2451,2478,2503,2525,2555,2581,2624,2662,2701,2729,2762,2800,2844,2882,2927,2972,3033,3086,3138,3190,3244,3284,3332,3376,3429,3468,3525,3572,3613,3659,3703,3745,3806,3856,3894,3934,3973,4004,4034,4066,4109,4136,4170,4210,4237,4265,4297,4328,4355,4386,4414,4446,4481,4510,4543,4575,4604,4636,4670,4707,4751,4790,4825,4862,4907,4939,4988,5030,5067,5118,5145,5179,5209,5247,5292,5333,5381,5430,5470,5512,5552,5590,5635,5667,5705,5752,5797,5836,5887,5923,5972,6009,6059,6114,6163,6213,6274,6314,6364,6419,6462,6505,6572,6618,6664,6721,6780,6824,6874,6924,6967,7027,7091,7137,7205,7269,7323,7389,7472,7522,7592,7666,7734,7814,7873,7953,8035,8114,8198,8287,8374,8488,8574,8686,8799,8941,9079,9191,9320,9453,9601,9774,9957,10116,10283,10480,10659,10855,11042,11246,11506,11730,11982,12230,12452,12716,12992,13259,13556,13820,14117,14379,14664,14927,15225,15515,15786,16078,16375,16694,17004,17335,17688,18020,18401,18744,19079,19443,19818,20220,20614,21038,21529,21965,22395,22870,23393,23879,24401,24907,25475,26031,26624,27228,27877,28495,29156,29789,30467,31154,31908,32637,33345,34068,34833,35555,36331,37129,37929,38750,39574,40478,41392,42317,43265,44267,45247,46265,47276,48359,49443,50542,51723,52811,53963,55177,56383,57633,58859,60169,61511,62870,64230,65645,67063,68544,70019,71550,73141,74782,76520,78218,79935,81760,83538,85419,87327,89273,91194,93109,95068,97084,99127,101268,103369,105632,107838,110087,112415,114722,117283,119826,122393,125008,127631,130411,133200,136039,138973,141898,144915,147991,151081,154345,157454,160715,164007,167451,170918,174349,177883,181521,185244,189005,192961,197004
1,1,1,1,3,5,5,7,7,8,10,10,11,13,13,16,17,19,22,22,23,24,24,24,24,25,27,28,28,29,29,31,32,35,40,44,45,52,54,57,59,61,66,72,78,83,87,94,95,102,109,117,123,129,135,142,145,154,164,171,180,192,200,210,221,231,241,251,261,269,278,289,297,315,330,343,360,378,396,409,427,440,457,473,485,500,516,528,537,551,566,580,589,606,627,643,661,676,687,706,720,741,762,776,785,794,808,827,844,864,878,897,913,926,936,946,955,966,976,986,1000,1012,1031,1040,1050,1061,1070,1086,1096,1107,1127,1132,1145,1155,1164,1174,1181,1190,1202,1220,1232,1253,1269,1284,1299,1320,1340,1357,1370,1389,1406,1422,1445,1464,1477,1495,1511,1529,1548,1566,1595,1617,1647,1670,1700,1726,1767,1796,1829,1863,1903,1931,1970,2009,2056,2107,2146,2190,2236,2272,2330,2374,2436,2494,2549,2596,2649,2689,2753,2822,2882,2942,3005,3079,3152,3212,3288,3354,3447,3533,3606,3694,3772,3875,3959,4053,4166,4279,4391,4503,4613,4730,4840,4951,5060,5158,5299,5414,5550,5684,5818,5968,6073,6186,6316,6478,6634,6797,6932,7080,7222,7389,7530,7688,7878,8072,8236,8444,8640,8847,9054,9265,9497,9707,9948,10189,10428,10687,10957,11247,11589,11923,12266,12609,12987,13333,13667,14073,14491,14882,15327,15797,16262,16748,17242,17705,18224,18750,19280,19791,20297,20777,21293,21886,22469,23035,23636,24231,24858,25493,26166,26788,27457,28207,28899,29637,30414,31174,31920,32714,33505,34327,35141,36037,36928,37862,38780,39764,40727,41815,42893,43871,44934,46108,47212,48319,49492,50683,51874,53096,54373,55609,56872,58169,59459,60763,62132,63562,64958,66325,67726,69189,70715,72201,73807,75389,76956,78598,80231,81957,83722,85403,87211,88997,90889,92767,94689,96726,98771,100806,102835,104838,106961,109087,111291,113615,115859,118177,120473,122862,125318,127885,130473,133194,135766,138395,141060,143804,146664,149639,152703,155806,158896,162015,165147,168334,171540,174995,178374,181927,185485,188943,192730,196512,200268,204148,208156,212172,216390,220739,225069,229613,234165,238852,243624,248547,253504,258474,263618,268778,274044,279412,284945,290573,296179,301841,307674,313693,319664,325631,331836,338043,344288,350700,357056,363560,370232,376895,383693,390434,397267,404311,411209,418309,425398,432637,439912,447191,454704,462400,470131,478052,485772,493849,502135,510546,518992,527827,536798,545817,554954,564331,573910,583625,593455,603359,613534,623741,634203,644691,655416,666126,676947,687903,699296,710742,722204,733630,745145,756983,768723,780510,792822,805293,817769,830235,843117,855896,868771,881783,895007,908348,921802,935486,949245,963389,977630,991860,1006370,1021100,1035739,1050374,1065199,1080344,1095420,1110763,1126338,1142008,1157904,1173807,1189653,1206109,1222337,1238902,1255698,1272544,1289527,1306651,1323694,1341153,1358917,1376470,1394125,1412188,1430436,1448796,1467350
1,1,1,1,1,1,1,1,2,4,6,7,8,9,10,10,14,16,20,20,24,28,30,32,36,39,44,48,51,54,59,61,63,71,73,77,79,87,91,98,104,106,112,115,122,125,134,138,142,145,152,159,162,164,166,166,173,175,179,190,193,197,202,206,211,216,219,226,233,237,240,244,248,252,257,266,272,275,280,283,289,293,296,299,306,311,316,321,326,335,338,341,348,351,354,357,359,363,371,380,385,395,405,412,419,427,434,438,445,452,460,471,482,491,502,512,522,532,540,548,557,571,581,593,602,619,635,653,671,684,695,710,722,733,751,759,773,790,799,813,826,845,861,877,885,899,914,932,955,975,988,1007,1023,1040,1066,1082,1105,1133,1152,1171,1189,1205,1228,1256,1277,1306,1324,1344,1373,1397,1418,1444,1456,1469,1491,1515,1537,1556,1575,1593,1602,1622,1646,1670,1691,1708,1727,1753,1776,1789,1808,1823,1850,1873,1904,1927,1954,1980,2007,2030,2053,2091,2130,2163,2192,2215,2252,2285,2316,2354,2394,2424,2453,2496,2551,2591,2640,2682,2737,2801,2873,2943,3032,3112,3207,3337,3453,3585,3684,3785,3892,4001,4108,4224,4327,4426,4493,4586,4683,4765,4845,4948,5019,5082,5156,5236,5310,5379,5443,5514,5581,5665,5750,5829,5915,6007,6069,6142,6219,6300,6383,6468,6566,6694,6829,6925,7033,7165,7301,7458,7591,7715,7867,7984,8119,8264,8416,8577,8724,8871,8992,9133,9291,9426,9541,9676,9821,9959,10106,10247,10409,10557,10721,10894,11085,11258,11418,11604,11781,11946,12141,12316,12490,12680,12862,13071,13262,13463,13676,13864,14081,14291,14512,14745,14978,15206,15429,15671,15906,16130,16373,16612,16860,17127,17418,17701,17966,18262,18532,18779,19091,19416,19730,20037,20343,20663,20978,21334,21672,22030,22430,22813,23193,23599,23972,24388,24823,25227,25680,26118,26552,27046,27544,28005,28486,29049,29616,30162,30762,31305,31871,32472,33092,33744,34416,35146,35916,36669,37474,38307,39174,40066,40933,41847,42772,43694,44654,45645,46615,47595,48553,49665,50752,51782,52903,54039,55138,56324,57485,58759,60075,61319,62608,63972,65273,66546,67887,69291,70725,72179,73619,75036,76511,77917,79337,80848,82383,83873,85353,86891,88389,89831,91393,92977,94508,96028,97600,99202,100887,102592,104399,106244,108011,109771,111668,113535,115430,117266,119192,121191,123295,125376,127516,129626,131854,134072,136323,138635,140993,143361,145857,148379,150896,153436,156064,158803,161582,164440,167441,170326,173322,176481,179592,182853,186119,189591,192989,196502,200005,203644,207292,211099,215079,218954,222877,227076,231215,235394,239611,244061,248482,253026,257643,262357,267029,271865,276656,281564,286817,291863,297000,302368,307946,313570,319283,325019,330914,337041,343182,349538,355978,362598,369482,376248,383376,390544,397908
1,1,1,3,3,3,4,5,10,13,17,20,22,27,31,31,35,38,39,44,47,48,49,52,56,61,66,68,71,76,77,83,86,90,98,105,105,112,116,120,127,129,135,136,138,140,145,148,152,155,160,167,170,180,185,190,191,195,203,210,216,222,225,229,235,244,247,250,253,255,261,264,266,268,272,280,283,285,290,297,300,302,306,308,313,317,322,327,335,339,347,349,355,360,364,368,376,384,385,394,399,399,407,413,420,431,434,440,452,462,470,475,481,488,491,497,504,510,519,530,538,547,559,567,576,583,589,597,605,614,628,645,658,673,682,688,704,713,728,739,753,768,786,803,818,839,855,872,891,909,935,952,972,999,1016,1039,1063,1088,1105,1124,1148,1164,1180,1202,1225,1245,1268,1298,1328,1346,1363,1392,1412,1435,1459,1482,1502,1517,1529,1548,1570,1599,1617,1642,1655,1670,1690,1711,1736,1748,1766,1783,1799,1820,1839,1863,1877,1898,1920,1940,1962,1987,2003,2030,2056,2074,2101,2131,2156,2177,2210,2237,2269,2301,2321,2351,2384,2418,2450,2479,2512,2540,2567,2595,2621,2651,2686,2723,2749,2781,2821,2861,2897,2932,2971,3007,3041,3070,3096,3138,3162,3201,3250,3283,3321,3350,3385,3425,3473,3505,3549,3575,3619,3654,3696,3738,3778,3820,3864,3910,3949,3992,4043,4080,4120,4162,4206,4249,4278,4310,4360,4405,4457,4496,4540,4595,4646,4700,4732,4777,4829,4865,4934,4981,5034,5088,5141,5196,5256,5305,5352,5412,5481,5529,5573,5617,5669,5738,5799,5890,5949,6010,6081,6150,6224,6293,6381,6468,6551,6646,6749,6845,6924,7032,7110,7211,7309,7416,7520,7638,7773,7891,8035,8176,8318,8466,8600,8767,8910,9072,9241,9407,9567,9722,9901,10063,10232,10406,10583,10769,10976,11164,11344,11519,11723,11926,12131,12338,12587,12786,12991,13200,13433,13670,13900,14112,14341,14586,14847,15050,15293,15570,15818,16044,16304,16571,16827,17109,17375,17679,17978,18279,18570,18872,19124,19404,19702,20003,20355,20705,21024,21333,21698,22020,22384,22748,23107,23501,23895,24293,24661,25057,25489,25921,26339,26752,27177,27614,28068,28594,29069,29509,30001,30518,31054,31523,32013,32524,33053,33616,34221,34765,35305,35894,36490,37157,37793,38447,39144,39836,40570,41307,42090,42881,43679,44450,45286,46106,46976,47871,48772,49695,50608,51500,52406,53315,54326,55266,56219,57267,58308,59408,60461,61489,62581,63695,64867,65990,67138,68282,69504,70764,71977,73201,74480,75803,77090,78493,79861,81224,82636,84061,85563,87061,88566,90054,91669,93237,94822,96460,98097,99589,101183,102843,104541,106293,107974,109688,111443,113208,115035,116902,118796,120723,122711,124803,126825,128951,131213,133556,135882,138321,140778,143311,145849,148481,151055
1,1,1,1,1,1,1,2,2,3,3,4,4,6,6,6,12,15,17,19,23,26,28,28,30,37,39,42,45,49,55,63,69,74,79,84,91,96,101,105,107,112,114,119,125,133,137,141,145,148,153,156,165,173,181,188,195,202,210,221,227,237,247,263,271,277,287,293,300,311,328,335,344,356,369,384,404,413,430,445,467,482,494,512,525,534,559,580,615,642,672,702,742,771,795,820,850,879,920,954,990,1031,1074,1126,1180,1220,1263,1307,1338,1373,1419,1468,1523,1561,1607,1650,1698,1738,1775,1818,1858,1899,1953,2016,2065,2116,2168,2213,2282,2356,2421,2481,2539,2595,2651,2711,2778,2849,2931,3025,3115,3210,3312,3437,3548,3670,3775,3870,3980,4100,4219,4327,4431,4555,4689,4806,4936,5067,5169,5298,5405,5507,5604,5716,5839,5958,6063,6163,6292,6415,6532,6624,6768,6909,7042,7185,7318,7459,7624,7790,7931,8113,8291,8476,8661,8866,9107,9294,9474,9711,9949,10162,10439,10698,10952,11200,11477,11784,12071,12383,12690,13011,13364,13723,14084,14392,14739,15102,15495,15862,16264,16667,17045,17415,17773,18183,18546,18959,19356,19772,20175,20610,21015,21420,21847,22321,22786,23229,23651,24114,24643,25156,25646,26205,26705,27275,27855,28446,29017,29635,30282,30987,31673,32403,33168,33929,34769,35616,36489,37357,38233,39172,40234,41237,42319,43363,44434,45569,46755,47944,49066,50218,51409,52627,53872,55118,56379,57618,58857,60207,61596,62992,64389,65820,67268,68733,70287,71878,73428,75041,76743,78442,80247,82016,83835,85676,87572,89547,91531,93538,95630,97675,99763,101886,104058,106262,108344,110609,112913,115172,117616,120054,122541,124964,127515,130246,132895,135543,138377,141263,144100,147006,149956,152895,155952,159000,162079,165256,168477,171753,175065,178429,181730,185110,188507,192086,195635,199327,203061,206817,210705,214600,218656,222840,226981,231322,235579,240017,244389,248836,253381,258009,262638,267497,272424,277295,282256,287337,292480,297687,302877,308087,313587,319224,324936,330700,336671,342785,348912,355205,361628,368100,374895,381722,388434,395392,402618,409885,417202,424705,432322,440014,447763,455890,463958,472166,480479,488780,497170,505956,514868,523824,533071,542427,551782,561268,570793,580657,590583,600843,611029,621380,631872,642478,653242,664168,675014,686120,697515,709095,720774,732545,744407,756552,768535,780585,792815,805374,818152,831191,844324,857335,870501,883880,897491,911326,925018,938796,952743,966943,981356,995945,1010408,1025108,1040088,1055124,1070161,1085334,1100599,1116059,1131953,1148015,1164086,1180389,1196794,1213401,1230327,1247215,1264423,1281658,1299189,1316780,1334477,1352333,1370520,1388597,1407104,1425459,1443982,1462730,1481406,1500571,1520131,1539737,1559608,1579517,1599765,1619798,1640173,1660921,1681615,1702600,1723725,1744778,1765900,1787641,1808997,1830535,1852247,1874130,1896099,1918114,1940415,1962817,1985192,2007653,2030145,2052956,2076014,2099283,2122629,2146101,2169871,2193438,2216974,2240699,2264474,2288644,2313040,2337570,2362092,2387007,2411605,2436603,2461885,2487028,2512446
1,1,5,6,6,6,6,7,8,8,8,10,11,13,16,16,17,17,18,19,21,22,22,22,26,30,31,35,38,39,42,45,49,51,57,61,63,70,76,80,86,93,95,104,112,116,124,133,141,143,154,167,173,181,189,195,205,214,226,234,239,246,255,260,270,280,290,301,309,317,332,341,354,363,376,385,390,400,409,424,441,456,474,493,513,531,555,578,594,608,617,630,646,653,669,688,710,725,747,782,797,816,838,867,887,916,944,970,991,1029,1066,1101,1133,1171,1211,1259,1292,1331,1370,1418,1484,1535,1585,1653,1702,1756,1822,1886,1976,2034,2105,2175,2254,2335,2397,2459,2549,2636,2718,2805,2894,2985,3084,3185,3302,3402,3506,3618,3726,3831,3953,4084,4201,4319,4442,4567,4670,4780,4922,5051,5176,5314,5434,5574,5709,5837,5950,6104,6242,6378,6565,6720,6889,7027,7187,7321,7472,7616,7759,7910,8049,8192,8329,8479,8630,8810,8984,9140,9285,9420,9544,9705,9853,9997,10153,10281,10443,10608,10746,10887,11033,11179,11343,11483,11646,11798,11959,12126,12277,12432,12599,12781,12978,13164,13354,13572,13767,13972,14174,14418,14636,14895,15141,15416,15655,15914,16185,16473,16743,17074,17391,17719,18062,18450,18864,19247,19658,20076,20501,20949,21400,21860,22300,22719,23202,23710,24213,24691,25192,25697,26215,26733,27292,27865,28395,28973,29540,30150,30724,31360,32033,32690,33359,34060,34774,35414,36164,36903,37678,38502,39274,40026,40820,41637,42444,43330,44154,44982,45879,46810,47728,48687,49609,50558,51528,52453,53485,54516,55462,56570,57731,58875,59993,61153,62338,63610,64881,66147,67448,68778,70149,71570,72929,74338,75776,77240,78738,80231,81720,83277,84802,86410,88088,89855,91535,93390,95128,97020,98984,100943,103043,105082,107178,109471,111729,114106,116604,119037,121618,124113,126753,129430,132142,134947,137784,140755,143722,146721,149752,152931,156083,159172,162351,165521,168824,172113,175491,178844,182211,185519,188962,192421,195816,199419,203089,206746,210550,214244,218054,221760,225676,229622,233602,237702,241793,245931,250166,254410,258694,263115,267525,272098,276776,281372,286178,291102,296027,301178,306319,311596,316947,322326,327762,333336,339049,344742,350523,356524,362623,368681,374818,381172,387430,393939,400432,407106,413917,420770,427978,435234,442451,449683,457180,464808,472572,480407,488173,496288,504491,512818,521324,529889,538423,547266,556200,564995,573907,583253,592417,601567,611110,620606,630307,640000,649880,660064,670269,680635,691364,702151,712984,724124,735145,746546,758009,769753,781567,793507,805426,817552,829467,841632,853883,866145,878487,890795,903173,915623,928198,940700,953550,966344,979282,992227,1005547,1018712,1031946,1045380,1059352,1073129,1087054,1101120,1115203,1129336,1143687,1158052,1172893,1187622,1202621,1217781,1233016,1248432,1264097,1279733,1295680,1311742,1327774,1344164,1360649,1377358,1394221,1411305,1428139,1445534,1462776,1480339,1497985,1515821,1533733,1552213,1570732,1589176,1607344,1626113,1645263,1664560,1683836
1,1,2,2,2,3,3,4,5,6,6,7,10,10,11,11,13,15,17,18,19,20,21,21,22,23,24,25,29,31,35,41,42,44,47,49,51,54,55,56,57,62,64,66,67,67,69,70,72,76,77,77,79,79,80,80,80,80,80,80,82,83,84,84,85,85,86,87,87,87,87,87,87,89,90,91,91,91,91,91,91,92,93,94,95,96,96,96,99,99,100,103,105,106,107,109,110,110,112,114,117,119,120,122,122,122,122,122,122,123,124,125,125,125,127,128,129,130,130,131,132,133,134,136,136,137,138,138,138,140,141,142,142,143,143,143,145,145,145,147,147,147,147,148,148,148,148,148,148,151,151,151,152,153,154,154,154,155,156,157,158,158,158,159,159,160,161,161,161,161,162,162,162,164,165,165,166,166,167,168,168,168,170,174,174,175,176,178,180,182,183,186,188,191,192,193,194,194,196,197,199,200,203,206,207,209,210,212,215,216,217,218,219,220,222,224,225,225,225,228,230,231,231,232,232,234,234,234,234,235,236,236,244,249,250,254,259,263,265,277,286,293,304,317,334,355,378,395,409,423,454,475,497,524,541,567,595,616,631,667,696,721,745,773,812,845,869,912,949,988,1019,1062,1106,1139,1190,1229,1271,1327,1380,1424,1475,1544,1596,1671,1740,1787,1851,1918,2003,2079,2152,2231,2306,2384,2468,2551,2643,2751,2868,2963,3083,3192,3298,3405,3534,3645,3775,3886,4010,4125,4267,4397,4539,4694,4853,5021,5176,5378,5547,5725,5907,6103,6301,6542,6789,7028,7295,7597,7867,8161,8474,8764,9105,9413,9748,10055,10399,10759,11086,11440,11843,12232,12646,13026,13458,13842,14287,14757,15218,15720,16234,16781,17275,17841,18395,18961,19618,20288,20921,21636,22322,23079,23779,24499,25282,26017,26802,27600,28403,29257,30013,30802,31679,32503,33309,34152,34944,35794,36646,37476,38354,39276,40150,41055,41940,42816,43768,44713,45692,46637,47759,48779,49865,50972,52085,53328,54556,55805,57057,58347,59672,61064,62469,63923,65347,66722,68187,69627,71180,72685,74271,75843,77367,78996,80662,82384,84104,85874,87621,89408,91220,93065,94881,96797,98698,100582,102604,104635,106669,108814,111006,113245,115496,117810,120179,122556,125016,127573,130155,132846,135481,138365,141226,144139,147162,150266,153392,156577,159821,163076,166338,169574,172813,176065,179372,182823,186216,189648,193155,196649,200073,203626,207165,210700,214231,217753,221315,225027,228776,232525,236348,240235,244198,248147,252173,256386,260799,265027,269515,274037,278550,283043,287852,292622,297480,302473,307619,312865,318228,323562,328932,334422,340071,345837,351693,357850,363949
1,1,1,1,1,4,5,6,6,8,9,10,10,10,10,11,12,13,14,14,16,20,23,24,25,27,31,33,33,35,37,41,43,46,52,56,59,60,64,70,76,78,83,88,91,99,107,114,120,130,134,138,143,149,156,161,167,171,174,183,184,186,189,192,198,199,201,205,213,219,227,232,237,243,243,245,247,250,252,254,256,263,266,267,270,272,278,280,285,286,293,296,301,303,307,311,315,318,323,326,331,333,338,341,344,350,356,359,363,366,371,376,381,381,388,395,401,406,415,418,423,427,431,435,443,446,454,460,465,470,474,484,491,501,511,516,521,527,533,539,546,555,563,573,580,593,601,610,630,639,653,672,688,703,717,728,744,755,774,783,800,816,835,859,875,892,916,930,952,965,977,990,1005,1019,1031,1049,1060,1078,1091,1104,1119,1132,1147,1173,1189,1207,1222,1240,1256,1267,1291,1311,1326,1339,1356,1371,1391,1402,1423,1444,1458,1475,1490,1501,1517,1536,1545,1562,1573,1590,1603,1621,1639,1653,1676,1698,1719,1730,1751,1772,1790,1801,1816,1839,1853,1863,1878,1890,1906,1922,1938,1953,1971,1991,2005,2019,2033,2049,2068,2090,2108,2126,2149,2169,2185,2205,2225,2255,2287,2312,2360,2392,2420,2456,2483,2528,2556,2599,2644,2693,2752,2814,2855,2896,2931,2978,3017,3054,3082,3140,3179,3224,3256,3289,3318,3352,3391,3427,3470,3498,3536,3571,3603,3634,3658,3678,3707,3732,3765,3793,3817,3841,3861,3883,3906,3930,3955,3975,3995,4010,4033,4050,4072,4097,4119,4136,4163,4191,4216,4242,4258,4279,4299,4327,4363,4389,4419,4454,4489,4513,4539,4565,4592,4624,4659,4694,4722,4758,4787,4818,4846,4880,4903,4934,4972,5002,5048,5104,5149,5225,5328,5439,5543,5667,5780,5891,6018,6160,6316,6470,6625,6772,6922,7102,7274,7433,7594,7757,7944,8148,8349,8579,8803,9049,9268,9488,9683,9910,10130,10363,10596,10820,11044,11261,11488,11737,11960,12190,12405,12631,12851,13061,13297,13529,13764,13969,14201,14434,14666,14867,15077,15314,15550,15756,15946,16172,16423,16676,16886,17153,17392,17663,17888,18128,18370,18589,18808,19058,19312,19594,19852,20119,20371,20637,20894,21145,21383,21625,21849,22088,22317,22588,22831,23081,23323,23598,23841,24097,24361,24618,24884,25190,25466,25744,26056,26317,26610,26898,27201,27502,27804,28105,28435,28764,29060,29381,29684,30035,30381,30719,31022,31351,31706,32068,32448,32830,33198,33604,33970,34357,34794,35194,35634,36096,36566,37079,37556,38058,38573,39095,39639,40183,40779,41394,42008,42678,43327,44012,44700,45402,46082,46774,47480,48200,48948,49740,50553,51373,52189,53035,53945,54879,55865,56782,57753,58779,59830
1,1,1,3,5,6,8,9,9,11,14,15,19,20,23,27,29,32,38,46,52,54,62,65,70,78,86,91,97,103,111,116,124,130,140,147,155,163,168,180,189,197,210,220,230,244,255,273,289,299,313,324,333,344,356,363,374,394,404,419,436,447,460,475,491,503,520,534,548,563,581,596,607,625,646,663,680,706,729,745,763,779,801,819,841,857,876,892,911,939,967,998,1023,1044,1064,1079,1103,1122,1146,1182,1205,1229,1256,1283,1309,1329,1357,1393,1432,1465,1499,1546,1590,1639,1675,1729,1779,1814,1853,1899,1927,1967,2010,2047,2088,2136,2174,2220,2252,2293,2327,2367,2400,2444,2487,2529,2576,2616,2659,2712,2754,2817,2877,2925,2996,3042,3105,3190,3257,3331,3410,3482,3553,3631,3711,3794,3862,3946,4016,4091,4146,4207,4271,4346,4396,4470,4521,4575,4624,4684,4738,4784,4833,4888,4945,5009,5061,5117,5174,5213,5265,5307,5359,5416,5464,5513,5548,5603,5666,5739,5796,5865,5925,5985,6039,6104,6169,6238,6320,6395,6469,6559,6634,6710,6789,6882,6961,7041,7115,7193,7280,7369,7445,7546,7634,7741,7842,7954,8068,8194,8300,8424,8563,8714,8859,8996,9150,9304,9464,9610,9788,9932,10092,10257,10427,10600,10792,10967,11148,11343,11529,11749,11936,12130,12332,12553,12725,12921,13096,13285,13476,13673,13875,14094,14314,14511,14721,14970,15180,15393,15618,15853,16081,16332,16561,16816,17054,17299,17546,17801,18063,18339,18621,18909,19162,19477,19788,20100,20398,20681,21002,21330,21660,22006,22342,22673,23053,23397,23735,24070,24412,24786,25177,25521,25922,26301,26725,27185,27646,28122,28544,29042,29532,30031,30571,31132,31798,32423,33058,33682,34352,35021,35740,36402,37095,37760,38481,39166,39827,40505,41180,41890,42606,43263,43968,44674,45402,46127,46874,47600,48328,49063,49884,50770,51630,52534,53450,54360,55258,56252,57177,58111,59095,60099,61119,62160,63226,64297,65309,66390,67460,68561,69643,70760,71848,73020,74193,75363,76481,77622,78893,80110,81399,82643,83906,85114,86408,87754,89069,90430,91813,93168,94582,96060,97511,99029,100520,102033,103636,105176,106802,108428,110093,111775,113449,115231,117019,118833,120715,122602,124555,126569,128724,130848,133014,135286,137623,140026,142482,144989,147523,150171,152801,155419,158155,160829,163532,166342,169285,172171,175130,178114,181080,184095,187288,190576,193911,197230,200805,204370,207952,211573,215434,219201,222933,226815,230772,234839,238993,243234,247588,252044,256418,260909,265569,270135,275012,279797,284590,289431,294567,299612,304831,310183,315462,321020,326478,331866,337472,343223,348944,354912,360855,367024,373344,379818,386405,393208,400150,407186,414151,421143,428398,435799,443570,451236,459089,467147,475167,483437,491867,500242,508640,517097,525700,534649,543599,552695,562074,571460,581081,590781,600618,610593,620750,630889,641177,651590,662282,673067,683893,694937,705943,716962,728230,739905,751487
1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,6,6,6,7,7,7,7,7,8,8,8,9,9,9,10,11,12,12,12,13,13,15,15,16,16,16,16,16,17,18,18,18,21,21,22,22,22,23,25,26,26,29,30,32,32,32,33,33,36,37,37,37,37,37,37,37,39,40,40,41,43,44,44,45,46,47,49,50,53,57,59,61,61,67,68,72,75,80,83,85,87,89,90,94,100,106,110,112,121,125,138,147,159,166,174,182,195,201,210,218,223,236,251,263,274,281,291,297,308,313,317,325,334,340,351,359,365,370,381,391,399,405,411,418,425,434,441,446,454,461,464,469,471,477,481,487,492,499,502,509,512,521,533,539,547,556,568,584,592,601,613,625,640,653,666,681,699,713,726,739,759,772,794,806,820,838,856,866,875,892,905,912,918,931,943,951,960,969,976,982,990,996,1005,1013,1023,1032,1041,1051,1064,1067,1073,1086,1093,1099,1103,1115,1121,1132,1143,1154,1166,1176,1187,1209,1223,1230,1244,1257,1263,1280,1292,1301,1319,1329,1337,1349,1359,1372,1380,1389,1400,1413,1420,1429,1444,1455,1461,1466,1473,1476,1478,1486,1494,1497,1503,1510,1512,1517,1523,1527,1533,1534,1535,1536,1541,1545,1546,1549,1549,1553,1555,1558,1558,1559,1561,1563,1563,1563,1566,1567,1567,1567,1567,1567,1567,1567,1567,1568,1569,1570,1570,1570,1570,1570,1570,1570,1570,1570,1570,1571,1571,1572,1572,1572,1572,1572,1572,1574,1574,1574,1574,1574,1574,1574,1574,1574,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
1,1,1,3,3,3,3,4,5,8,9,10,10,11,11,11,11,13,16,21,25,28,28,29,31,32,32,33,34,37,40,41,42,44,46,49,52,57,58,60,62,63,66,72,75,77,80,82,87,90,93,96,103,107,118,126,132,136,137,141,150,156,165,174,188,201,214,234,254,272,288,301,320,337,347,359,380,398,417,427,445,462,474,489,501,511,534,545,559,575,583,599,615,628,634,653,665,688,696,705,718,731,749,758,772,790,807,825,844,858,869,881,900,916,930,952,967,978,992,1010,1036,1072,1094,1127,1154,1191,1217,1241,1280,1304,1343,1381,1434,1478,1530,1574,1618,1671,1735,1809,1863,1910,1971,2044,2109,2171,2228,2295,2353,2417,2479,2553,2628,2695,2767,2835,2897,2973,3054,3115,3178,3260,3326,3409,3467,3554,3635,3713,3783,3862,3930,4027,4114,4214,4295,4379,4472,4563,4686,4804,4959,5091,5245,5413,5609,5834,6060,6325,6655,6990,7329,7648,8037,8380,8726,9121,9516,9908,10310,10712,11105,11508,11927,12331,12715,13141,13577,13983,14437,14858,15298,15717,16129,16564,16985,17421,17881,18416,18923,19494,20043,20588,21189,21809,22392,22988,23564,24185,24868,25550,26227,26923,27601,28267,28944,29646,30284,30976,31716,32454,33204,33916,34641,35406,36191,36982,37769,38643,39471,40330,41215,42108,42956,43843,44763,45743,46687,47630,48678,49716,50742,51841,52923,54043,55153,56389,57609,58790,60047,61331,62573,63890,65251,66583,67959,69354,70788,72091,73525,74915,76335,77830,79301,80886,82437,84015,85630,87250,88820,90422,92066,93778,95490,97304,99102,100908,102748,104674,106649,108566,110556,112606,114639,116666,118684,120767,122897,125070,127225,129417,131645,133861,136109,138315,140558,142937,145261,147697,150186,152711,155217,157769,160298,162873,165425,168156,170908,173607,176462,179251,182127,185101,188135,191192,194336,197462,200814,204042,207403,210907,214284,217834,221359,224936,228578,232305,235979,239780,243619,247535,251563,255561,259641,263799,268142,272513,276940,281362,285908,290493,295217,300148,305035,309890,314812,319848,324835,330203,335398,340924,346364,351873,357676,363521,369486,375448,381451,387589,393765,400031,406373,412847,419306,425895,432567,439316,446272,453323,460502,467914,475148,482602,490289,497954,505756,513746,521782,530053,538347,546724,555497,564053,572868,581692,590738,600125,609356,618567,628032,637506,647029,656649,666330,676154,686029,696025,705945,716125,726199,736511,746918,757462,767985,778624,789401,800283,811555,822846,834325,845941,857590,869305,881290,893303,905548,917948,930392,943175,955836,968914,982080,995226,1008977,1022322,1035901,1049672,1063920,1078069,1092442,1106795,1121598,1136094,1150840,1166000,1180973,1196143,1211170,1226283,1241692,1257236,1272820,1288475,1304300,1320356,1336604,1353059,1369551,1386468,1403260,1420333,1437585,1455134,1472790,1490730,1508803,1527060,1545496,1564237,1582753,1602016,1621364,1640651,1659920,1679563,1699324,1719037,1738874,1758837,1778967,1799324,1819738,1840271,1860747,1881500,1902369,1923278,1944164
1,1,1,1,1,4,4,5,7,7,8,8,8,14,18,23,27,35,47,51,58,68,70,76,85,91,97,102,114,121,127,135,142,147,152,158,171,178,183,191,201,209,218,226,234,244,255,264,274,285,292,305,317,331,347,362,382,393,413,429,446,465,483,490,505,520,538,553,584,605,620,636,642,653,672,688,706,720,738,752,764,779,793,808,822,829,837,845,852,866,874,890,906,919,933,946,962,974,984,996,1007,1018,1033,1043,1054,1071,1078,1087,1107,1128,1133,1141,1148,1160,1172,1186,1195,1210,1224,1239,1253,1267,1279,1292,1306,1315,1327,1336,1352,1364,1376,1393,1408,1424,1440,1460,1468,1480,1489,1504,1515,1526,1534,1555,1570,1590,1607,1627,1645,1665,1696,1734,1749,1778,1817,1874,1930,1991,2056,2126,2204,2284,2356,2435,2501,2566,2637,2690,2774,2854,2922,2996,3064,3136,3200,3257,3333,3411,3481,3547,3619,3680,3745,3806,3868,3941,4014,4082,4152,4221,4310,4410,4506,4600,4681,4779,4896,5005,5137,5292,5418,5564,5705,5847,6003,6156,6311,6471,6641,6827,6995,7199,7420,7652,7866,8127,8401,8650,8890,9139,9362,9624,9873,10114,10373,10645,10882,11172,11425,11705,11978,12255,12557,12844,13149,13455,13797,14148,14495,14849,15191,15555,15876,16212,16600,16989,17394,17771,18161,18543,18931,19313,19716,20108,20581,21008,21443,21852,22287,22683,23098,23540,23985,24484,24919,25366,25799,26259,26722,27163,27589,28081,28574,29048,29533,30037,30524,31072,31583,32179,32739,33289,33858,34432,34986,35619,36284,36918,37605,38274,38978,39693,40415,41167,41939,42753,43578,44388,45171,46025,46856,47681,48569,49493,50417,51308,52250,53095,54011,54969,55961,56905,57903,58881,59860,60939,62008,63084,64174,65300,66411,67568,68764,70009,71235,72501,73884,75217,76642,78108,79533,81073,82713,84355,86020,87796,89618,91500,93391,95401,97540,99659,101810,104034,106224,108453,110752,113195,115567,118082,120537,123067,125582,128182,130640,133267,135964,138759,141509,144347,147198,150060,153039,156011,159071,162147,165226,168335,171570,174843,178169,181638,185087,188651,192177,195817,199451,203212,207106,210911,214746,218663,222725,226816,230989,235201,239547,243854,248262,252864,257546,262170,266904,271739,276600,281576,286625,291763,296999,302380,307825,313294,318883,324466,330115,335947,341865,347704,353846,359873,365965,372146,378392,384598,391006,397400,403845,410542,417262,424156,431239,438519,446009,453358,461063,468923,476713,484770,492946,501123,509586,518099,526856,535637,544620,553684,562794,572157,581753,591306,601022,610960,621036,631474,641851,652684,663327,674189,685147,696303,707438,718813,730336,741834,753529,765522,777693,790077,802651,815198,828032,841206,854297,867713,881202,894715,908328,922456,936529,950837,965398,980055,994772,1009830,1025027,1040293,1055757,1071276,1086917,1102765,1118759,1135376,1151931,1168490,1185490,1202468,1219513,1236806,1254120,1271520,1289399,1307045,1324982,1343166,1361285,1379689,1398293
1,1,1,1,2,2,3,3,4,6,7,7,7,8,8,8,10,11,12,14,17,19,19,19,20,21,25,27,30,33,35,35,38,44,47,49,54,62,64,67,73,79,84,88,96,102,109,114,121,125,131,132,138,146,154,162,171,182,196,204,211,213,223,233,239,249,261,268,272,280,282,293,296,300,307,315,324,328,336,345,352,359,368,379,390,398,404,415,422,429,434,441,457,464,473,481,489,499,508,522,535,540,552,567,581,598,613,621,637,648,660,672,685,695,710,725,739,759,771,783,801,823,841,862,885,905,931,955,982,1006,1039,1062,1088,1112,1145,1187,1215,1247,1275,1303,1342,1379,1408,1437,1463,1497,1527,1557,1598,1631,1655,1695,1722,1762,1790,1817,1854,1884,1924,1961,1988,2030,2077,2111,2161,2204,2242,2294,2340,2384,2448,2494,2556,2618,2682,2746,2815,2890,2952,3021,3101,3184,3264,3346,3406,3492,3572,3661,3734,3816,3913,3991,4087,4187,4277,4388,4499,4596,4688,4808,4913,4997,5108,5246,5374,5505,5624,5765,5903,6024,6175,6334,6494,6657,6817,7015,7238,7437,7636,7835,8044,8239,8438,8644,8860,9086,9326,9560,9793,10050,10305,10542,10827,11114,11369,11649,11964,12271,12582,12888,13246,13610,13940,14311,14677,15034,15432,15866,16305,16742,17175,17588,18051,18493,18982,19455,19941,20448,20916,21440,21936,22463,23000,23516,24039,24544,25045,25626,26180,26795,27367,27980,28580,29222,29852,30510,31173,31910,32598,33254,33932,34661,35378,36103,36894,37741,38564,39477,40365,41325,42289,43278,44306,45336,46451,47571,48738,49942,51236,52507,53812,55158,56445,57798,59174,60553,62047,63575,65138,66766,68438,70070,71713,73341,75080,76808,78690,80586,82534,84569,86664,88670,90727,92847,94980,97192,99411,101592,104028,106395,108844,111269,113720,116267,118761,121308,124004,126557,129200,131966,134706,137395,140166,142952,145757,148615,151442,154432,157370,160184,163203,166139,169146,172146,175376,178482,181708,184865,188134,191490,194816,198164,201739,205280,209008,212828,216757,220761,224807,228808,232931,237229,241431,245699,249971,254456,258994,263575,268211,272796,277403,282332,287221,292289,297463,302669,307920,313401,318836,324454,330075,335958,342119,348224,354489,360918,367437,374061,380706,387359,394035,400867,407886,414921,422262,429414,436854,444379,451977,459847,467591,475783,483903,492190,500396,508977,517503,526076,534761,543639,552622,561671,571034,580406,589789,599391,608932,618618,628450,638229,648159,657945,667885,677870,688071,698569,709021,719548,730223,740994,751963,762962,774083,785404,797200,808757,820653,832597,844653,856943,869563,882316,895140,908425,921498,934835,948639,962223,976190,990287,1004488,1018941,1033499,1047945,1062761,1077678,1092743,1107787,1123065,1138670,1154228,1170151,1185958,1201919,1218096,1234431,1250643,1267194,1283557,1300290,1317147,1334129,1350915,1368084,1385579,1403164,1420927,1438742,1456689,1474921,1493115,1511474,1530149,1548907,1567795,1586749,1605983
1,1,1,1,1,1,3,3,4,4,8,8,9,11,12,14,15,18,22,23,24,26,30,35,39,40,40,41,46,48,50,52,52,54,57,63,65,70,73,77,82,83,87,90,94,96,99,101,105,108,112,114,121,124,129,137,145,150,152,160,167,173,176,184,189,200,208,212,219,229,238,248,257,266,276,290,306,315,326,337,349,359,371,385,394,404,414,426,435,452,465,476,488,503,519,539,562,573,586,608,625,643,659,683,696,719,741,764,787,811,834,857,883,900,918,937,967,995,1023,1047,1068,1086,1101,1130,1152,1176,1197,1219,1248,1274,1300,1317,1348,1378,1412,1445,1478,1509,1546,1573,1609,1643,1691,1735,1774,1810,1854,1888,1916,1959,1999,2040,2077,2117,2154,2184,2217,2250,2285,2323,2366,2400,2431,2473,2515,2561,2602,2651,2703,2737,2795,2846,2880,2922,2958,3008,3050,3083,3124,3158,3198,3243,3272,3309,3340,3381,3406,3442,3480,3525,3565,3616,3651,3694,3734,3785,3820,3868,3913,3962,4014,4059,4113,4171,4251,4307,4362,4415,4472,4540,4604,4663,4722,4783,4832,4898,4960,5038,5097,5154,5220,5278,5346,5416,5492,5551,5612,5672,5729,5802,5867,5933,6002,6046,6106,6157,6220,6298,6354,6420,6481,6553,6619,6676,6744,6807,6858,6912,6971,7019,7064,7105,7152,7194,7261,7306,7374,7432,7482,7526,7579,7635,7696,7735,7789,7852,7925,7994,8050,8109,8181,8251,8315,8387,8456,8539,8614,8686,8768,8834,8901,8996,9076,9150,9229,9308,9400,9478,9577,9677,9771,9864,9954,10055,10150,10254,10361,10463,10567,10664,10781,10890,11004,11105,11213,11350,11483,11601,11731,11852,12002,12131,12266,12379,12511,12653,12804,12962,13130,13292,13452,13628,13775,13976,14176,14363,14539,14749,14945,15152,15346,15600,15836,16057,16311,16506,16745,16954,17161,17375,17636,17916,18202,18457,18725,19015,19292,19568,19838,20135,20451,20758,21082,21407,21724,22054,22378,22724,23090,23458,23810,24182,24563,24913,25274,25673,26037,26428,26833,27214,27621,28050,28493,28950,29386,29860,30340,30793,31267,31770,32238,32703,33231,33758,34275,34873,35465,36062,36602,37227,37869,38557,39233,39954,40684,41452,42250,43039,43860,44658,45522,46403,47290,48196,49070,49937,50810,51732,52617,53516,54433,55318,56223,57146,58070,59047,59967,60969,62016,63018,64048,65068,66115,67210,68303,69422,70491,71596,72700,73832,75006,76196,77437,78736,80068,81432,82832,84229,85676,87102,88618,90112,91659,93197,94732,96305,97930,99604,101218,102822,104396,106088,107849,109577,111410,113220,115126,117053,118971,120966,122991,125064,127168,129439,131722,133964,136217,138555,140902,143405,145802,148334,150909,153512,156197,158804,161583,164498,167424,170305,173281,176264,179306,182382,185563,188720,191860,195169,198468,201759,205212,208662,212151,215625,219185,222748,226457
1,1,1,1,1,1,1,3,3,4,4,4,4,5,5,6,7,9,9,9,10,11,13,18,18,20,28,29,32,37,40,44,49,53,56,60,64,71,76,79,84,89,100,106,111,112,122,130,134,139,147,151,157,161,166,168,171,174,181,184,189,191,192,195,197,201,203,205,209,213,218,218,221,223,225,225,228,230,230,230,233,237,240,242,248,255,260,265,270,272,276,285,293,302,307,312,319,331,344,353,360,365,378,387,392,410,422,436,442,458,475,494,514,526,540,555,570,583,596,617,632,650,660,674,696,704,723,734,756,775,792,807,824,840,863,885,897,919,936,951,967,987,1002,1018,1031,1044,1066,1081,1101,1121,1135,1148,1171,1193,1211,1231,1255,1273,1296,1315,1330,1351,1374,1395,1422,1451,1490,1512,1536,1561,1589,1608,1635,1666,1697,1722,1750,1788,1830,1860,1901,1948,1980,2021,2068,2110,2155,2199,2248,2291,2326,2375,2415,2460,2490,2529,2558,2598,2639,2667,2706,2754,2796,2840,2879,2918,2963,3005,3043,3073,3111,3150,3199,3241,3279,3321,3377,3429,3482,3529,3581,3638,3700,3756,3834,3901,3956,4002,4063,4130,4200,4277,4330,4409,4485,4555,4632,4713,4806,4882,4973,5053,5148,5242,5335,5451,5545,5649,5771,5895,6013,6128,6241,6382,6499,6622,6770,6883,7023,7170,7286,7405,7529,7667,7800,7925,8050,8195,8345,8474,8630,8787,8962,9113,9270,9417,9602,9747,9926,10100,10281,10516,10708,10872,11063,11295,11513,11729,11956,12202,12460,12731,13049,13343,13628,13928,14240,14580,14909,15239,15572,15973,16313,16724,17143,17581,17994,18424,18881,19324,19765,20269,20757,21263,21841,22434,23007,23647,24302,24947,25632,26335,27102,27942,28726,29572,30433,31287,32118,32949,33793,34639,35586,36466,37399,38379,39374,40342,41355,42350,43370,44468,45566,46592,47699,48832,50020,51273,52547,53881,55239,56595,58030,59483,60900,62352,63884,65476,67008,68642,70250,71875,73486,75058,76764,78482,80199,81917,83664,85397,87198,89050,90994,92936,94973,96954,99078,101127,103209,105330,107576,109764,112095,114337,116618,118972,121358,123723,126127,128555,130965,133407,135966,138390,140886,143419,145998,148590,151169,153782,156390,159097,161845,164600,167453,170348,173292,176197,179138,182245,185339,188531,191867,195182,198575,202131,205561,209068,212854,216615,220589,224624,228651,232836,237077,241479,245928,250487,255080,259856,264517,269395,274381,279383,284529,289782,295142,300510,305868,311276,316825,322424,328070,334035,340003,346017,352170,358296,364395,370569,376875,383484,390234,397234,404114,411202,418454,425811,433259,440709,448332,456182,464022,471969,480266,488771,497219,505848,514739,523519,532295,541422,550551,559667,569172,578589,588312,597914,607611,617609,627753,638122,648563,659165,669985,680743,691794,703051,714211,725356,736602,748051,759585,771355,783114,795049,806963
1,1,1,1,2,2,2,3,3,5,5,5,7,10,14,16,18,19,21,22,22,26,29,30,30,30,32,36,38,38,41,41,42,45,49,49,51,56,60,62,66,70,77,80,83,88,91,96,100,108,115,118,123,124,129,136,142,150,154,155,162,163,165,172,178,182,192,196,201,206,208,216,225,233,237,244,253,259,262,268,273,277,283,292,301,305,315,326,332,343,354,366,378,392,406,421,437,453,475,483,499,510,529,551,570,583,597,611,629,649,665,683,703,722,742,754,774,794,809,826,850,869,894,920,941,966,1002,1017,1036,1059,1093,1126,1144,1162,1177,1206,1237,1257,1284,1304,1327,1350,1381,1406,1433,1462,1487,1523,1554,1576,1601,1626,1656,1689,1720,1749,1770,1795,1823,1842,1867,1889,1926,1955,1981,2008,2031,2060,2076,2093,2119,2148,2172,2196,2227,2242,2262,2283,2307,2331,2348,2371,2395,2411,2440,2462,2480,2494,2507,2522,2541,2557,2574,2586,2593,2606,2625,2650,2663,2674,2689,2706,2722,2738,2759,2782,2802,2827,2860,2877,2898,2917,2944,2964,2981,3011,3038,3059,3091,3114,3136,3168,3193,3222,3256,3284,3316,3345,3384,3411,3443,3466,3487,3511,3545,3576,3609,3641,3665,3692,3719,3745,3779,3803,3832,3876,3913,3950,3983,4015,4044,4077,4116,4146,4179,4222,4258,4295,4347,4380,4419,4457,4498,4546,4592,4653,4699,4750,4817,4863,4914,4971,5031,5080,5131,5217,5293,5345,5419,5510,5592,5681,5771,5852,5937,6010,6101,6179,6256,6346,6437,6527,6642,6725,6827,6949,7070,7172,7271,7374,7492,7610,7746,7884,8026,8144,8303,8458,8602,8767,8900,9061,9231,9389,9564,9716,9904,10065,10245,10418,10609,10799,11010,11223,11454,11661,11908,12164,12426,12721,13032,13320,13616,13926,14238,14597,14899,15224,15508,15806,16121,16422,16758,17059,17343,17646,17941,18260,18547,18871,19211,19560,19873,20184,20520,20797,21126,21478,21804,22173,22510,22851,23182,23530,23896,24259,24610,24982,25369,25742,26125,26562,26974,27378,27790,28208,28620,29040,29452,29881,30378,30826,31292,31733,32185,32643,33089,33521,34018,34494,35025,35532,36024,36558,37048,37545,38045,38587,39104,39612,40139,40682,41223,41811,42344,42927,43506,44159,44748,45388,46025,46723,47370,48096,48802,49564,50303,51087,51875,52642,53472,54392,55288,56207,57120,58073,59068,60076,61125,62209,63231,64321,65421,66540,67649,68779,69901,71020,72192,73400,74605,75836,77166,78393,79740,81127,82525,83865,85205,86622,88051,89579,91021,92600,94215,95725,97321,98965,100678,102393,104207,105946,107836,109654,111541,113413,115351,117375,119418,121519,123648,125787,127954,130278,132614,134996,137453,139954,142482,145060,147614,150311,153059,155858,158651,161398,164298,167108,170036,173033,176083,179160,182392,185654,189089,192469,195943
1,1,2,3,3,3,5,6,6,6,7,9,9,11,14,14,17,18,21,21,23,25,26,28,30,31,33,33,33,36,38,39,42,47,50,52,55,59,62,64,66,70,73,80,83,89,94,97,103,111,118,118,121,122,125,126,130,135,139,143,149,152,159,161,169,170,173,176,182,182,186,188,197,201,204,206,208,210,212,218,222,226,231,235,240,244,250,252,254,257,260,263,268,274,278,283,285,287,292,295,303,306,315,321,326,329,331,338,343,346,350,355,360,363,366,368,377,386,392,400,402,406,407,414,416,420,425,437,446,454,466,470,473,479,488,499,510,518,521,534,544,556,573,584,601,614,634,647,664,682,702,718,731,752,770,789,809,829,851,873,885,909,929,938,963,983,1015,1042,1056,1078,1098,1119,1142,1178,1198,1222,1248,1263,1287,1310,1336,1362,1381,1414,1438,1461,1488,1516,1543,1566,1587,1613,1641,1674,1704,1727,1742,1769,1798,1813,1836,1854,1882,1913,1940,1966,1985,2012,2036,2064,2094,2117,2144,2182,2218,2259,2305,2353,2409,2449,2486,2536,2573,2633,2692,2749,2803,2854,2901,2962,3015,3085,3146,3209,3270,3330,3413,3497,3573,3658,3729,3791,3869,3940,4003,4075,4165,4254,4339,4412,4489,4595,4678,4791,4902,5003,5113,5218,5339,5463,5580,5693,5809,5939,6080,6201,6334,6512,6654,6821,6977,7136,7287,7447,7581,7705,7846,8029,8187,8335,8479,8610,8766,8932,9084,9253,9404,9561,9717,9869,10036,10188,10366,10517,10695,10861,11012,11162,11312,11474,11648,11806,11982,12144,12294,12429,12594,12768,12936,13111,13283,13446,13614,13781,13963,14157,14337,14503,14673,14868,15038,15214,15407,15581,15793,15986,16183,16400,16596,16804,17027,17268,17506,17745,17963,18186,18423,18664,18931,19201,19476,19748,20040,20314,20586,20868,21135,21414,21717,22062,22420,22771,23141,23541,23932,24289,24702,25100,25466,25888,26261,26629,27030,27430,27839,28251,28696,29162,29617,30085,30503,30939,31432,31907,32389,32938,33458,34024,34523,35086,35643,36237,36808,37447,38033,38612,39246,39851,40585,41298,42002,42733,43448,44165,44938,45695,46502,47310,48078,48857,49665,50457,51313,52108,52906,53739,54563,55358,56140,56975,57794,58625,59432,60264,61074,61885,62721,63531,64395,65316,66233,67120,68029,68906,69811,70775,71682,72620,73576,74581,75607,76595,77678,78719,79857,80925,81972,83123,84193,85281,86325,87449,88570,89718,90865,92103,93246,94473,95659,96807,98076,99338,100593,101914,103266,104689,106070,107459,108879,110382,111851,113394,114986,116520,118184,119760,121487,123209,124979,126736,128574,130396,132239,134160,136091,138057,140066,142111,144135,146210,148349,150503,152639,154905,157128,159559,161877,164233,166561,168900,171418,173945,176586,179241,181872,184548,187125
1,1,3,3,3,4,5,5,9,9,9,10,11,14,15,16,17,21,26,28,29,35,39,42,45,50,52,57,65,68,73,76,78,80,83,87,95,103,104,112,117,118,126,130,136,139,141,145,149,151,152,154,159,161,163,165,167,168,168,170,171,171,172,174,177,179,180,181,184,187,189,190,191,193,194,198,207,207,209,212,219,224,227,231,233,235,239,241,242,247,252,256,262,273,277,280,285,293,302,306,309,313,319,323,330,336,341,342,346,347,349,351,356,359,363,367,370,378,384,387,391,394,398,402,409,413,417,422,429,435,440,446,451,457,461,465,470,478,482,490,499,510,519,527,544,552,562,569,576,584,594,604,611,626,636,643,652,661,673,679,693,713,724,737,741,750,757,766,775,781,787,793,797,804,811,816,825,832,842,850,855,862,871,876,885,899,909,915,926,947,957,976,988,1007,1029,1048,1068,1092,1112,1126,1140,1157,1174,1187,1205,1223,1242,1263,1291,1299,1313,1333,1355,1374,1394,1408,1422,1444,1453,1469,1486,1502,1520,1537,1557,1575,1597,1608,1626,1637,1662,1677,1692,1707,1718,1733,1751,1764,1776,1790,1805,1819,1833,1852,1866,1884,1900,1914,1932,1947,1974,1990,2005,2018,2038,2059,2084,2100,2115,2142,2157,2185,2209,2240,2273,2300,2332,2360,2387,2418,2439,2470,2508,2550,2569,2595,2629,2658,2682,2708,2732,2771,2802,2835,2871,2896,2936,2973,3008,3031,3059,3097,3144,3181,3226,3272,3320,3364,3399,3449,3488,3549,3604,3654,3712,3770,3828,3892,3945,4009,4060,4104,4159,4217,4278,4338,4398,4462,4530,4617,4670,4733,4803,4861,4939,5023,5102,5182,5260,5332,5421,5513,5597,5705,5791,5883,5973,6060,6150,6241,6337,6440,6525,6625,6726,6809,6912,7008,7113,7217,7304,7393,7490,7593,7693,7811,7926,8041,8144,8248,8345,8454,8566,8679,8787,8924,9035,9168,9291,9432,9555,9671,9800,9915,10046,10166,10284,10413,10559,10690,10817,10940,11073,11212,11346,11480,11597,11727,11870,12016,12152,12285,12431,12584,12744,12899,13064,13233,13417,13587,13756,13920,14078,14259,14453,14668,14880,15088,15301,15523,15742,15962,16199,16467,16736,17029,17300,17585,17860,18150,18453,18766,19078,19397,19714,20054,20385,20713,21075,21398,21749,22074,22424,22771,23139,23496,23875,24235,24591,24991,25347,25742,26064,26427,26781,27151,27536,27937,28306,28708,29110,29491,29866,30236,30651,31039,31447,31867,32284,32733,33179,33675,34091,34593,35087,35541,36007,36476,36963,37476,38026,38570,39186,39776,40417,41039,41638,42283,42940,43630,44345,45076,45854,46643,47507,48329,49165,50008,50915,51811,52739,53722,54732,55826,56908,57948,59066
1,1,1,1,4,7,8,9,11,13,13,14,16,16,18,20,22,23,25,28,32,38,40,43,47,50,54,58,60,68,72,74,81,83,96,100,106,109,115,124,127,135,142,147,153,167,173,178,187,199,205,212,216,225,234,242,251,261,274,283,290,302,311,317,325,342,354,365,375,382,399,409,418,427,441,455,464,479,492,507,521,528,541,549,562,576,594,608,616,627,636,646,660,672,681,693,703,715,732,748,763,779,791,801,820,844,861,881,902,914,928,937,950,964,973,986,1003,1027,1043,1057,1077,1095,1101,1113,1131,1144,1162,1175,1185,1197,1210,1230,1248,1268,1282,1296,1322,1341,1359,1383,1408,1435,1462,1497,1538,1572,1607,1644,1694,1736,1783,1826,1872,1919,1962,2010,2059,2113,2165,2224,2278,2333,2396,2468,2534,2583,2648,2737,2832,2925,3026,3121,3226,3319,3437,3546,3651,3752,3864,3978,4103,4210,4335,4465,4604,4742,4857,4992,5136,5247,5385,5526,5654,5786,5932,6097,6231,6363,6515,6679,6856,7006,7174,7332,7470,7628,7771,7948,8143,8313,8481,8682,8866,9060,9309,9542,9749,9986,10211,10445,10674,10936,11202,11507,11825,12126,12463,12806,13134,13501,13863,14258,14637,15014,15431,15854,16317,16808,17272,17734,18235,18744,19296,19836,20358,20881,21435,22035,22666,23266,23942,24652,25383,26157,26945,27746,28612,29509,30391,31271,32187,33118,34108,35074,36105,37057,38016,39003,39932,40900,41892,42900,43956,44987,45986,47035,48101,49125,50188,51284,52458,53675,54934,56191,57471,58737,60000,61328,62711,64120,65463,66944,68443,70010,71555,73128,74784,76518,78259,80031,81817,83754,85580,87546,89612,91567,93700,95805,98052,100299,102609,104975,107392,109821,112245,114728,117350,119853,122478,125140,127801,130568,133410,136352,139350,142332,145462,148885,152130,155497,159027,162494,166075,169606,173239,176918,180653,184393,188195,192047,195983,200011,204059,208149,212312,216511,220840,225170,229683,234297,238924,243657,248245,253121,257867,262780,267710,272683,277751,283010,288199,293616,298989,304523,310084,315792,321555,327379,333396,339478,345692,351942,358317,364837,371375,378003,384782,391596,398616,405767,412948,420263,427828,435492,443324,451229,459337,467469,475735,484298,492943,501481,510234,518883,527745,536748,545878,554961,564326,573910,583597,593452,603794,614007,624411,635023,646022,657053,668216,679507,691077,702673,714855,726908,738915,751172,763672,776243,788828,801661,814679,827757,840744,854107,867474,880786,894352,908263,922293,936635,950972,965732,980244,995118,1009942,1025117,1040292,1055783,1071390,1087216,1103455,1119739,1136043,1152792,1169705,1186980,1204392,1221873,1239688,1257547,1275835,1294279,1312917,1331917,1351198,1370578,1390340,1410116,1429921,1449534,1469572,1490065,1510543,1531173,1551915,1572523,1593614,1614977,1636537,1658112,1680018,1702226,1724467,1746865,1769244,1791677,1814565,1837672,1860990,1884162,1907339,1930827,1954358,1978227,2001872,2025387,2049157,2073267,2096891,2120834,2145183,2169403,2193689,2217855,2242327,2266827,2291298
1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,5,5,5,5,6,6,7,8,9,9,10,12,14,16,17,20,21,22,23,25,28,33,33,34,35,35,39,40,41,43,49,52,56,59,61,65,67,69,73,76,82,87,92,96,102,108,110,111,113,119,123,128,132,136,144,148,154,160,160,164,165,169,174,179,187,190,194,201,208,213,218,220,225,228,237,241,250,254,261,270,279,283,290,298,305,315,322,329,341,351,360,368,379,386,392,405,414,421,428,438,452,462,472,481,489,492,498,510,522,535,544,556,567,577,581,587,593,598,603,610,613,619,626,636,643,650,657,662,666,675,682,691,703,709,717,722,729,741,747,762,771,780,791,802,816,830,843,860,866,885,901,914,927,930,943,951,960,971,978,989,1001,1011,1019,1028,1034,1038,1040,1043,1045,1050,1055,1057,1062,1065,1070,1077,1082,1088,1093,1097,1101,1104,1108,1114,1122,1131,1135,1141,1145,1149,1152,1165,1181,1192,1197,1207,1218,1228,1236,1245,1254,1260,1271,1285,1301,1312,1324,1342,1353,1370,1389,1400,1413,1425,1437,1459,1473,1489,1500,1517,1532,1542,1554,1566,1586,1607,1627,1643,1656,1674,1693,1703,1720,1732,1751,1769,1789,1803,1819,1844,1861,1877,1899,1922,1951,1979,2011,2041,2075,2115,2153,2192,2224,2245,2270,2303,2332,2367,2390,2436,2465,2507,2533,2564,2612,2656,2705,2753,2791,2847,2892,2963,3043,3116,3179,3268,3361,3453,3575,3696,3849,3984,4147,4314,4527,4703,4897,5109,5324,5556,5808,6051,6301,6543,6848,7119,7396,7695,8002,8293,8571,8889,9207,9516,9851,10184,10540,10904,11293,11676,12041,12438,12821,13219,13643,14048,14445,14840,15264,15674,16079,16528,16938,17384,17781,18180,18580,18968,19341,19733,20112,20521,20915,21307,21719,22151,22593,23031,23463,23907,24352,24793,25274,25754,26256,26765,27266,27766,28318,28829,29341,29919,30457,31046,31628,32214,32795,33438,34077,34701,35356,35963,36622,37275,37983,38645,39272,39954,40683,41423,42209,42968,43757,44592,45459,46296,47119,47977,48909,49903,50849,51811,52855,53906,54993,56130,57270,58458,59625,60888,62116,63343,64603,65903,67275,68747,70097,71492,73011,74504,75986,77459,78952,80524,82101,83802,85612,87293,89073,90854,92682,94580,96494,98446,100435,102510,104429,106409,108509,110591,112717,114819,117000,119182,121406,123540,125794,128018,130362,132787,135226,137753,140208,142761,145267,147756,150368,153039,155671,158428,161154,163953,166803,169632,172583,175640,178774,182033,185323,188638,192023,195366,198855,202437,206039,209794,213503,217375,221229,225141,229107,233153,237252,241360,245610,249961,254435,258907,263538,267997,272557,277251,282116,287002,292070,297218,302388,307620,312823,318179,323752,329300
1,1,1,3,5,8,10,12,13,13,17,20,22,23,28,29,33,33,35,38,43,48,50,51,55,57,60,64,65,68,75,78,82,84,86,89,95,102,102,104,109,113,117,120,126,128,130,144,153,160,168,171,180,185,189,194,202,207,213,216,221,225,229,230,231,232,235,241,248,250,253,262,268,276,278,283,288,291,293,295,298,301,301,306,307,308,308,313,316,324,327,332,334,339,344,348,352,355,359,364,370,376,384,386,392,394,398,400,405,407,413,421,431,436,442,449,463,470,480,484,492,501,512,523,528,541,549,559,567,577,583,590,604,610,618,624,632,642,653,660,667,671,677,685,690,695,704,711,716,719,726,734,738,752,758,764,772,780,789,790,796,803,809,819,822,823,831,839,844,849,851,855,864,872,876,879,885,895,901,907,912,917,921,931,940,947,962,970,985,997,1009,1019,1026,1037,1048,1059,1073,1077,1088,1095,1104,1118,1126,1134,1142,1158,1170,1183,1190,1201,1219,1228,1238,1248,1261,1275,1293,1308,1324,1341,1358,1378,1402,1424,1449,1468,1490,1505,1529,1551,1577,1605,1640,1670,1697,1726,1757,1792,1823,1869,1909,1955,1991,2047,2099,2169,2220,2258,2324,2391,2460,2535,2602,2680,2738,2817,2885,2969,3058,3121,3207,3290,3356,3455,3541,3628,3715,3815,3901,4005,4099,4199,4308,4408,4522,4623,4739,4856,4965,5078,5187,5301,5426,5533,5653,5764,5891,6004,6123,6260,6370,6488,6610,6728,6853,6982,7106,7232,7374,7514,7658,7798,7957,8133,8309,8490,8682,8876,9113,9349,9571,9817,10067,10325,10571,10822,11083,11375,11685,11976,12261,12564,12874,13197,13500,13852,14186,14559,14929,15349,15757,16144,16534,16957,17396,17791,18214,18669,19104,19564,20040,20566,21077,21587,22125,22681,23184,23714,24225,24792,25293,25827,26385,26919,27427,27945,28482,29042,29600,30124,30685,31288,31903,32419,32974,33586,34143,34741,35356,35985,36653,37258,37888,38486,39113,39799,40480,41142,41823,42478,43191,43961,44692,45457,46255,46993,47728,48471,49256,50058,50872,51655,52551,53480,54385,55336,56214,57114,57998,58980,59963,60945,61975,63003,63993,65066,66077,67188,68279,69309,70406,71491,72580,73677,74830,76018,77206,78439,79672,80915,82253,83502,84774,86076,87410,88744,90083,91423,92880,94285,95762,97216,98673,100089,101571,103066,104580,106164,107706,109380,110998,112679,114383,116151,117974,119783,121606,123443,125258,127221,129147,131071,133083,135219,137279,139474,141641,143818,146050,148362,150719,153184,155584,157991,160434,163014,165648,168175,170929,173680,176545,179534,182581,185597,188644,191788,195033,198395,201806,205384,208963,212813,216649,220661,224751,228872,233004,237224,241462,245873,250293,254777,259351,263924,268537,273222,278022
1,1,1,1,1,1,1,3,3,4,4,4,7,8,10,10,10,10,10,10,12,12,12,15,16,16,19,22,23,26,27,32,37,40,42,42,47,55,63,72,74,79,90,96,101,104,111,113,121,128,135,137,142,146,151,160,171,173,179,181,183,186,193,201,203,204,209,220,224,225,228,235,237,240,243,246,249,256,257,261,269,275,283,288,292,298,301,308,312,322,328,332,341,349,352,364,370,378,387,399,407,421,438,453,472,485,496,510,531,549,564,583,603,629,649,674,702,727,753,788,810,842,881,918,973,1004,1037,1077,1128,1167,1206,1238,1279,1329,1372,1408,1443,1478,1514,1551,1591,1633,1683,1721,1766,1812,1874,1928,1974,2023,2072,2119,2183,2256,2311,2364,2423,2488,2538,2611,2684,2767,2820,2873,2931,2984,3037,3097,3158,3214,3271,3310,3373,3420,3464,3510,3563,3611,3675,3728,3778,3835,3892,3957,4025,4096,4173,4247,4302,4373,4442,4515,4588,4666,4741,4815,4903,5005,5103,5210,5310,5415,5529,5639,5746,5867,5954,6073,6169,6263,6390,6505,6625,6740,6850,6968,7081,7189,7314,7424,7547,7712,7851,8007,8181,8370,8552,8715,8897,9085,9255,9449,9644,9865,10060,10267,10473,10708,10972,11239,11532,11834,12140,12433,12752,13077,13407,13730,14067,14415,14773,15189,15583,15955,16327,16688,17067,17449,17830,18235,18648,19050,19495,19926,20366,20804,21293,21804,22333,22840,23321,23869,24441,24982,25573,26175,26806,27481,28168,28858,29597,30315,31090,31801,32635,33502,34359,35287,36143,36996,37906,38862,39723,40614,41531,42446,43350,44304,45268,46239,47188,48239,49264,50327,51473,52608,53672,54833,56066,57320,58582,59838,61200,62592,64008,65433,66916,68415,69930,71461,73050,74642,76386,78076,79782,81559,83386,85198,87011,88799,90680,92545,94411,96221,98099,99874,101772,103576,105509,107484,109465,111458,113436,115523,117589,119701,121816,123988,126137,128384,130779,133107,135540,137951,140429,142959,145527,148135,150883,153764,156499,159365,162249,165271,168236,171299,174433,177536,180666,184040,187367,190657,194005,197400,200779,204304,207975,211678,215273,218962,222792,226793,230703,234627,238610,242726,246788,251061,255356,259768,264296,268770,273307,277925,282706,287516,292420,297563,302856,308097,313434,318802,324314,329865,335607,341469,347386,353376,359589,365611,371812,378229,384659,391199,398014,404894,412030,419131,426399,433734,441318,449159,456937,464698,472668,480782,488888,497179,505710,514111,522632,531293,540190,548968,558059,567198,576590,585987,595583,605310,615188,625301,635603,645794,656321,666851,677548,688206,699286,710513,721753,733222,744782,756435,768280,780350,792475,804696,817091,829573,842170,855161,868270,881298,894547,908107,921600,935483,949708,963942,978103,992458,1006835,1021478,1036394,1051294,1066357,1081626,1097064,1112701,1128255,1144383,1160181,1176472,1192770,1209151,1225690,1242308,1259072,1275887,1292507,1309782,1326956,1344626,1362066,1380026,1397916
1,1,1,1,1,2,2,3,3,3,4,5,5,6,7,8,8,8,9,9,9,12,12,12,13,13,13,13,13,13,13,13,13,14,14,14,14,16,16,16,17,18,19,20,21,22,23,26,26,28,28,30,30,31,33,35,39,41,44,45,49,50,51,52,54,56,56,58,60,61,63,65,66,72,74,76,79,79,80,83,87,89,89,90,93,93,94,94,97,98,100,105,109,114,119,120,121,124,125,126,131,131,132,135,137,140,140,144,147,150,155,158,162,163,165,168,172,174,177,179,184,185,185,188,189,191,196,198,200,200,200,204,206,208,215,218,220,222,223,225,228,231,235,238,241,245,249,255,260,262,264,272,275,277,278,285,288,293,297,299,302,302,305,307,309,310,313,315,318,320,325,326,330,334,335,335,338,340,343,344,346,347,347,350,355,359,366,368,372,375,382,386,389,390,392,393,397,400,406,407,411,416,418,421,422,423,429,431,433,442,445,449,457,461,470,477,485,499,503,508,519,529,537,547,561,571,580,592,600,615,632,653,672,702,722,747,791,826,855,882,919,949,988,1021,1061,1107,1145,1178,1233,1271,1320,1376,1443,1497,1557,1610,1670,1744,1826,1901,1969,2055,2139,2230,2309,2395,2493,2560,2642,2721,2819,2921,3038,3134,3226,3322,3412,3503,3590,3701,3788,3905,4009,4121,4228,4357,4497,4624,4750,4907,5076,5221,5390,5555,5711,5894,6072,6263,6468,6652,6858,7054,7255,7473,7709,7914,8093,8307,8539,8774,9002,9230,9448,9714,9962,10214,10463,10715,10976,11262,11537,11820,12101,12424,12756,13065,13400,13737,14070,14412,14743,15118,15494,15903,16251,16594,16964,17341,17751,18148,18521,18963,19371,19776,20191,20579,20997,21449,21892,22353,22818,23277,23786,24255,24731,25197,25667,26119,26581,27088,27577,28098,28623,29156,29682,30232,30801,31389,32009,32607,33239,33847,34495,35153,35842,36514,37173,37858,38616,39343,40084,40879,41539,42270,42937,43719,44503,45271,46002,46774,47560,48337,49218,50009,50864,51729,52558,53412,54306,55230,56141,57068,57985,58933,59897,60917,61968,63070,64117,65271,66303,67431,68575,69642,70849,72099,73410,74686,75973,77320,78704,80035,81467,82952,84464,85991,87538,89082,90703,92330,94084,95917,97728,99552,101443,103339,105258,107301,109348,111523,113562,115812,118069,120302,122636,124959,127421,130027,132710,135424,138320,141159,144172,147196,150281,153524,156698,159976,163333,166661,170171,173803,177441,181197,184884,188639,192427,196305,200239,204182,208326,212447,216622,220867,225113,229584,234065,238592,243216,247996,252853,257807,262768,267944,273015,278252,283595,289076,294495,300061,305826,311704,317519,323679,329780,336081,342435
1,1,1,3,3,3,4,7,7,8,10,10,13,13,14,15,16,16,20,20,24,29,31,37,40,43,48,51,56,60,62,68,75,84,89,99,105,111,118,129,132,137,145,151,158,165,173,179,185,189,193,201,205,210,216,219,223,232,237,244,253,261,272,279,290,299,301,307,319,326,335,340,347,356,367,376,386,397,405,417,424,437,449,465,476,483,495,509,522,538,552,568,578,587,592,601,615,631,650,666,677,694,710,717,733,746,768,779,791,804,815,828,842,843,854,867,875,885,896,908,924,937,947,952,958,970,980,984,992,999,1007,1016,1022,1030,1049,1058,1073,1089,1103,1114,1129,1147,1155,1163,1179,1192,1208,1220,1234,1251,1265,1276,1292,1303,1319,1330,1344,1352,1364,1378,1385,1397,1407,1426,1447,1465,1485,1505,1523,1540,1556,1574,1597,1617,1632,1654,1669,1687,1705,1732,1751,1768,1787,1813,1830,1844,1860,1875,1898,1919,1941,1961,1979,2001,2026,2048,2069,2082,2099,2127,2150,2167,2186,2210,2236,2266,2290,2305,2322,2344,2371,2405,2427,2450,2469,2490,2511,2538,2573,2598,2638,2659,2680,2704,2726,2758,2781,2808,2831,2863,2898,2930,2964,2995,3028,3056,3094,3127,3167,3206,3248,3284,3311,3346,3378,3410,3457,3498,3541,3590,3633,3672,3720,3774,3834,3893,3950,3994,4041,4090,4139,4202,4266,4318,4372,4430,4499,4566,4623,4702,4774,4841,4915,4978,5036,5093,5158,5217,5292,5367,5449,5522,5595,5660,5731,5803,5887,5970,6045,6131,6214,6315,6414,6518,6631,6755,6883,7011,7150,7288,7421,7587,7763,7928,8077,8246,8426,8616,8827,9015,9222,9423,9623,9807,10011,10197,10409,10614,10825,11042,11296,11545,11772,12044,12311,12600,12868,13174,13485,13804,14133,14492,14846,15204,15580,15934,16259,16618,17024,17434,17811,18198,18598,18982,19378,19779,20195,20607,21000,21391,21776,22193,22610,23056,23514,24002,24455,24899,25349,25823,26265,26722,27221,27730,28278,28794,29316,29835,30338,30878,31426,31986,32498,33107,33633,34186,34754,35312,35865,36470,37060,37659,38279,38876,39487,40106,40742,41413,42064,42726,43379,44062,44752,45449,46175,46929,47693,48452,49182,49935,50646,51450,52202,52939,53720,54468,55294,56044,56851,57651,58485,59284,60096,60928,61824,62736,63621,64546,65455,66379,67371,68309,69271,70254,71215,72247,73359,74486,75600,76798,77994,79205,80419,81667,82995,84267,85596,86972,88379,89833,91197,92686,94192,95842,97416,99038,100718,102423,104080,105820,107655,109447,111291,113187,115096,117096,119096,121135,123146,125306,127489,129853,132260,134642,137044,139549,142124,144723,147335,149978,152777,155645,158600,161705,164846,167919,171096,174511,177830,181257,184816,188328,191909,195660,199530,203262,207307,211245,215238,219365,223495,227801,232379,236838,241270,245786,250292
1,1,1,1,2,2,3,3,6,7,10,12,12,14,16,17,19,24,24,25,30,35,38,42,47,48,49,54,59,61,63,66,70,76,83,85,89,95,100,104,107,109,114,117,118,119,124,130,132,135,138,145,147,147,148,150,154,160,170,173,185,190,192,199,206,212,217,228,232,234,244,253,258,262,272,289,301,315,321,336,352,359,367,378,390,402,410,421,432,442,449,452,459,462,469,475,483,497,505,508,519,530,537,543,548,555,567,576,586,595,608,615,616,626,641,653,661,672,685,696,709,728,748,761,776,785,804,846,887,931,983,1046,1090,1152,1222,1291,1345,1406,1482,1542,1604,1667,1720,1777,1846,1909,1964,2022,2073,2142,2199,2265,2320,2367,2424,2482,2545,2598,2675,2745,2822,2912,2992,3081,3181,3268,3348,3441,3521,3610,3685,3775,3856,3925,3998,4065,4129,4192,4254,4330,4386,4443,4517,4580,4651,4723,4798,4853,4927,5012,5093,5157,5228,5299,5376,5454,5542,5617,5701,5794,5871,5963,6050,6128,6212,6312,6399,6476,6562,6636,6714,6792,6863,6928,7000,7087,7157,7242,7336,7424,7535,7651,7762,7884,8001,8152,8274,8420,8561,8703,8834,8970,9104,9266,9416,9567,9733,9926,10086,10239,10383,10520,10670,10810,10959,11111,11294,11465,11659,11839,12010,12197,12386,12564,12778,12974,13203,13419,13657,13947,14208,14488,14755,15047,15323,15607,15920,16232,16526,16832,17105,17395,17686,17991,18299,18610,18904,19217,19505,19798,20109,20409,20749,21044,21324,21647,21963,22294,22648,22978,23306,23639,23976,24300,24644,24995,25366,25742,26093,26433,26808,27194,27575,27945,28353,28769,29145,29553,29971,30422,30857,31328,31794,32264,32732,33255,33753,34277,34758,35276,35825,36337,36886,37480,38094,38695,39336,39986,40607,41259,41888,42544,43158,43811,44496,45179,45853,46558,47271,47968,48749,49542,50349,51119,51960,52737,53539,54384,55271,56153,57033,57956,58890,59836,60807,61864,62897,63883,64995,66056,67206,68351,69432,70548,71688,72915,74207,75433,76678,77900,79181,80494,81781,83045,84365,85712,87170,88610,89990,91359,92818,94282,95780,97315,98872,100410,102017,103572,105144,106757,108364,110054,111750,113481,115215,117081,118957,120960,122930,125038,127046,129175,131233,133416,135604,137829,140089,142308,144711,147116,149475,151921,154415,156901,159301,161682,164211,166804,169371,171933,174573,177213,179849,182598,185336,188066,190910,193797,196705,199687,202770,205799,208857,211934,215023,218225,221486,224753,228081,231607,235097,238696,242339,246134,249996,253879,257934,261994,266321,270642,275050,279380,283850,288583,293200,297828,302805,307639,312758,317870,323188,328562,333999,339593,345351,351203,357201,363246,369554,375843,382348,388923,395546,402322,409097,415987,423112,430265,437570,444859,452396,459970,467692,475440,483103,490865,498653,506555,514394,522545,530733,538995,547223,555500,563907,572340,581075
1,1,1,1,1,2,4,6,8,9,9,10,10,11,11,12,12,14,14,15,16,17,17,17,17,17,18,19,21,23,24,26,28,29,30,31,33,35,36,39,41,42,45,49,52,54,61,68,72,79,83,86,87,94,98,100,100,105,108,114,120,127,133,138,141,147,151,159,165,172,189,201,212,223,232,243,263,270,285,292,308,326,344,357,372,385,394,411,426,446,465,475,488,499,507,524,541,568,582,599,617,632,645,663,676,687,705,723,735,755,772,801,815,826,834,851,861,872,894,916,935,956,968,982,996,1008,1028,1046,1074,1094,1115,1146,1173,1205,1239,1267,1301,1349,1400,1446,1491,1540,1582,1629,1674,1727,1777,1829,1883,1951,2001,2052,2099,2160,2218,2291,2352,2411,2482,2559,2610,2669,2719,2782,2851,2918,2979,3048,3111,3184,3249,3310,3375,3447,3521,3580,3645,3719,3793,3869,3934,4020,4112,4179,4272,4353,4435,4502,4590,4662,4746,4819,4915,5010,5098,5176,5262,5375,5461,5558,5637,5740,5839,5937,6044,6146,6244,6324,6433,6528,6619,6714,6803,6909,7005,7110,7220,7317,7399,7502,7648,7771,7889,8031,8168,8293,8459,8605,8739,8880,9031,9180,9357,9548,9719,9894,10075,10264,10445,10629,10808,11016,11229,11450,11693,11941,12181,12430,12701,12967,13235,13543,13799,14084,14346,14628,14938,15288,15604,15912,16231,16592,16922,17237,17558,17891,18202,18524,18869,19205,19564,19925,20298,20671,21071,21435,21818,22215,22625,23038,23412,23852,24279,24812,25303,25815,26295,26821,27294,27819,28339,28928,29481,30106,30721,31383,32011,32642,33248,33924,34588,35261,35980,36667,37378,38078,38810,39620,40407,41156,41981,42798,43640,44511,45381,46291,47297,48235,49114,50136,51240,52329,53409,54504,55659,56844,58072,59314,60474,61748,63088,64455,65842,67222,68625,70109,71599,73116,74668,76234,77761,79346,80973,82604,84251,85877,87618,89368,91083,92867,94741,96634,98508,100503,102441,104424,106456,108486,110628,112852,115114,117444,119663,121998,124295,126636,128994,131478,134096,136631,139268,141897,144604,147379,150236,152951,155851,158759,161612,164629,167607,170769,173879,177010,180206,183471,186897,190188,193491,197028,200619,204252,207948,211733,215512,219271,223232,227206,231345,235536,239772,244138,248569,253088,257481,262035,266671,271349,276152,280887,285808,290759,295719,300820,305837,311148,316429,321831,327241,332701,338268,343916,349574,355323,361182,367074,373218,379369,385613,392014,398455,404859,411425,418118,424971,431756,438758,445702,452696,459924,467186,474552,482026,489612,497184,505140,512967,520751,528955,537170,545403,553740,562586,571394,580150,589201,598404,607625,617226,626771,636706,646460,656528,666645,676780,687153,697822,708511,719333,730567,741684,753087,764523,776147,788027,800169,812586,825122,837807,850690,863915,877193,890747,904126,917913,932013,946011,960396,974790,989284,1003903,1018727,1033810,1049031,1064367,1080074,1095916
1,1,1,1,1,2,2,3,3,4,4,7,8,8,8,9,11,12,13,14,15,18,20,21,22,25,29,31,37,55,71,80,97,108,127,153,190,224,264,300,356,417,498,576,652,738,807,891,965,1046,1135,1226,1303,1384,1456,1525,1592,1665,1736,1833,1934,2046,2147,2249,2338,2458,2560,2679,2798,2920,3020,3138,3239,3348,3469,3617,3776,3927,4087,4242,4409,4562,4705,4862,5010,5153,5294,5441,5571,5708,5846,5974,6107,6220,6345,6482,6619,6744,6868,6989,7115,7225,7342,7466,7585,7698,7803,7940,8081,8199,8330,8457,8584,8734,8877,9038,9176,9324,9486,9638,9814,10010,10194,10394,10588,10802,11045,11283,11499,11747,11987,12252,12495,12781,13022,13266,13511,13756,14007,14285,14537,14856,15154,15430,15698,16009,16308,16625,16944,17251,17568,17923,18279,18637,18974,19324,19710,20081,20451,20808,21199,21597,21968,22416,22836,23288,23742,24229,24695,25181,25656,26132,26582,27089,27610,28135,28676,29246,29795,30382,30956,31549,32154,32798,33407,34022,34685,35304,35997,36688,37427,38181,38913,39665,40415,41168,41969,42742,43537,44308,45134,45954,46844,47731,48653,49608,50512,51460,52431,53327,54393,55459,56503,57617,58747,59831,60955,62128,63286,64487,65679,66961,68251,69615,70988,72356,73808,75235,76742,78206,79705,81326,82862,84445,86156,87792,89419,91237,93014,94886,96736,98601,100529,102467,104415,106463,108439,110502,112683,114787,116977,119093,121327,123584,125929,128342,130667,133128,135612,138023,140589,143242,145868,148484,151202,153998,156877,159787,162805,165736,168856,172039,175183,178380,181596,184897,188267,191753,195156,198855,202558,206199,209949,213864,217719,221797,225959,230271,234562,238794,243291,247805,252311,257004,261732,266695,271663,276704,281888,287201,292557,298065,303626,309184,314955,320768,326763,332900,339088,345203,351462,357823,364579,371310,377896,384537,391341,398515,405450,412496,419804,427055,434449,441977,449581,457483,465331,473343,481198,489307,497602,505919,514210,522711,531326,539899,548759,557594,566614,575877,585389,594731,604271,614081,623809,633738,643754,654063,664367,674813,685331,696007,707003,717958,729215,740673,752271,763812,775633,787519,799482,811622,823974,836578,849209,861920,874848,887721,900908,913953,927008,940432,953796,967391,980963,994865,1008654,1022737,1036989,1051057,1065437,1080086,1094874,1109970,1125105,1140692,1156147,1171779,1187570,1203586,1219872,1236034,1252169,1268222,1284863,1301544,1318420,1335165,1352074,1369268,1386511,1404033,1421495,1439014,1456958,1474776,1492849,1510929,1529115,1547497,1565972,1584983,1603800,1622578,1641623,1660859,1680309,1699774,1719146,1739059,1758765,1778627,1798633,1818739,1838830,1859317,1879719,1900405,1921121,1942195,1963140,1984277,2005688,2026885,2048381,2069945,2091797,2113404,2135277,2157159,2179317,2201341,2223694,2246247,2268961,2291706,2314630,2337663,2360579,2384000,2407288,2431091,2454925,2478597,2502662,2527068,2551410,2576016,2600594,2625034,2649990,2674891,2699852,2725105,2750567,2775665,2800620,2825940,2851387,2876688,2902763,2928391,2953966,2979913,3005739,3032099,3058189,3084478,3110462,3136502,3162842,3189607,3216060,3242460,3269151,3296118,3322708,3349441,3376016,3402486,3429272,3456154,3483290,3510097,3537110,3563892,3591042
1,1,2,3,3,4,6,10,10,11,12,15,16,20,22,28,33,37,38,42,46,52,57,58,65,70,77,84,90,97,105,117,123,132,138,143,147,152,156,160,166,177,190,195,208,223,234,243,251,261,273,288,300,325,336,353,372,380,407,426,446,470,485,495,513,532,555,578,598,614,632,653,673,701,714,739,758,780,796,820,847,874,894,912,932,956,983,998,1022,1043,1077,1103,1138,1184,1221,1258,1308,1362,1416,1490,1563,1634,1724,1819,1935,2051,2171,2301,2427,2524,2626,2744,2871,2984,3070,3157,3248,3357,3469,3556,3654,3751,3845,3940,4058,4179,4323,4453,4579,4723,4825,4965,5115,5256,5365,5478,5592,5691,5816,5941,6077,6205,6342,6489,6656,6804,6958,7125,7264,7423,7584,7752,7916,8062,8240,8378,8531,8683,8835,8965,9086,9226,9368,9484,9631,9755,9864,9985,10107,10233,10362,10487,10614,10743,10879,11011,11113,11223,11344,11465,11590,11708,11824,11939,12063,12165,12256,12350,12452,12536,12635,12745,12837,12943,13051,13164,13267,13373,13492,13593,13705,13804,13920,14032,14127,14219,14334,14430,14540,14638,14725,14828,14930,15036,15132,15231,15356,15465,15554,15669,15773,15883,15964,16066,16188,16282,16410,16530,16647,16757,16870,16964,17075,17188,17335,17458,17591,17717,17861,17996,18115,18260,18402,18532,18663,18798,18940,19107,19243,19406,19562,19732,19887,20050,20242,20433,20652,20871,21073,21297,21496,21710,21919,22152,22387,22614,22819,23047,23268,23490,23720,23938,24182,24429,24667,24894,25132,25368,25599,25845,26078,26325,26576,26818,27052,27333,27578,27839,28102,28362,28622,28881,29130,29381,29651,29915,30203,30515,30830,31126,31402,31713,32043,32378,32708,33077,33471,33934,34363,34808,35295,35816,36345,36833,37390,37929,38496,39068,39657,40242,40850,41438,42057,42626,43284,43920,44609,45260,45946,46714,47434,48205,49018,49850,50668,51527,52426,53367,54384,55350,56362,57395,58411,59465,60555,61648,62719,63796,64908,65951,67037,68234,69442,70680,71915,73223,74512,75856,77144,78399,79652,81034,82411,83699,85099,86513,87960,89427,90991,92564,94091,95728,97365,99070,100733,102503,104253,106092,107940,109842,111678,113570,115559,117545,119609,121755,123827,125960,128134,130427,132755,135110,137519,139986,142564,145162,147876,150592,153368,156150,158975,161992,165078,168003,171123,174356,177665,180917,184230,187623,190954,194503,198002,201722,205452,209119,212816,216560,220364,224290,228255,232342,236434,240604,244857,249263,253700,258071,262578,267222,271914,276564,281392,286168,291071,295944,300763,305823,310883,316005,321190,326290,331540,336794,342185,347483,353032,358455,364034,369821,375543,381304,387307,393333,399481,405779,412174,418494,424952,431523,438321,445200,452133,459171,466352,473594,480764,487885,495359,502815,510510,518247,526118,534101,542239,550457,558694,567137,575609,584305,593074,601943,610861,620152,629626,639042,648769,658540,668640,678636,688844,699296,709984,720617,731593,742717,753850
1,1,3,3,3,3,5,5,5,6,8,8,9,9,10,12,14,16,18,18,22,25,26,29,33,36,36,41,46,47,49,51,52,56,61,62,71,77,83,90,98,103,110,119,127,137,142,147,155,162,171,182,196,208,215,224,236,252,263,276,291,295,307,317,330,346,365,384,393,406,423,432,451,468,491,509,517,534,550,564,582,598,607,625,636,651,667,682,697,716,733,744,764,779,792,803,815,823,838,852,868,878,894,903,919,936,948,979,1003,1018,1034,1052,1079,1096,1109,1132,1153,1177,1201,1225,1250,1271,1295,1311,1341,1375,1409,1449,1489,1525,1564,1588,1612,1643,1678,1712,1741,1770,1803,1833,1869,1909,1945,1978,2013,2053,2103,2144,2175,2231,2266,2300,2345,2385,2414,2447,2474,2509,2543,2571,2601,2631,2666,2704,2737,2773,2810,2842,2877,2906,2946,2984,3026,3056,3096,3141,3173,3199,3222,3264,3285,3311,3340,3370,3407,3435,3466,3493,3525,3540,3573,3601,3628,3651,3668,3704,3728,3754,3791,3810,3833,3857,3880,3904,3922,3945,3961,3986,4014,4041,4054,4071,4092,4122,4156,4197,4221,4261,4304,4347,4383,4440,4493,4547,4610,4662,4715,4781,4855,4922,4997,5096,5183,5279,5360,5457,5539,5633,5724,5843,5951,6074,6201,6339,6530,6716,6871,7048,7212,7411,7629,7858,8057,8285,8512,8725,8964,9218,9421,9637,9870,10099,10352,10612,10883,11190,11540,11842,12130,12473,12817,13188,13536,13878,14207,14538,14867,15259,15648,16049,16454,16835,17208,17618,18035,18393,18753,19116,19482,19823,20191,20547,20888,21249,21641,22001,22394,22750,23098,23504,23903,24291,24706,25112,25549,25983,26455,26888,27330,27809,28283,28732,29222,29706,30173,30681,31180,31723,32255,32819,33368,33955,34568,35151,35790,36415,37011,37628,38326,39003,39769,40484,41231,41998,42845,43725,44525,45381,46325,47197,48172,49118,50138,51144,52187,53206,54234,55337,56415,57564,58693,59867,61069,62239,63420,64631,65821,67213,68566,69917,71364,72814,74312,75775,77207,78768,80359,81972,83654,85351,87020,88737,90500,92261,94109,95944,97814,99738,101721,103749,105777,107972,110107,112381,114667,116998,119318,121803,124223,126681,129206,131778,134439,137117,139858,142607,145438,148308,151271,154227,157238,160399,163502,166772,170151,173657,177107,180751,184366,188158,192011,195939,199918,203803,207867,211850,215980,220208,224524,228840,233204,237608,242185,246725,251384,256112,260930,265800,270739,275827,281037,286428,291735,297069,302587,308234,313826,319562,325484,331584,337720,344123,350489,357071,363639,370346,377063,383935,390881,398068,405506,413131,420734,428661,436348,444132,452230,460400,468792,477129,485588,494341,503388,512365,521450,530532,540032,549416,559071,568733,578728,588690,598765,608999,619194,629638,640185,650890,661604,672479,683366,694626,705867,717135,728598,740389,752296,764347,776476,788979,801462,813973,826827,839937,853201,866463,879636
1,1,1,1,3,3,3,3,5,10,12,13,16,16,22,24,28,33,35,35,37,39,45,48,48,53,59,62,68,72,80,83,87,97,102,111,115,124,126,142,151,158,167,172,182,193,205,211,221,225,232,238,243,254,263,272,279,286,292,298,307,318,324,332,337,343,347,358,366,367,375,381,393,404,416,431,435,437,444,454,463,467,471,483,488,502,516,533,542,560,568,581,592,602,623,632,645,658,672,689,701,715,729,750,762,780,794,802,826,841,860,882,906,930,946,967,992,1008,1031,1056,1073,1089,1113,1133,1164,1187,1206,1228,1254,1286,1311,1332,1356,1379,1403,1431,1455,1486,1515,1539,1567,1590,1624,1655,1676,1701,1734,1770,1817,1854,1908,1955,2009,2058,2117,2192,2274,2351,2419,2491,2573,2637,2729,2796,2869,2949,3020,3089,3169,3253,3329,3413,3478,3546,3607,3673,3756,3820,3896,3980,4073,4153,4236,4330,4434,4539,4637,4755,4857,4968,5081,5205,5333,5489,5631,5794,5960,6139,6313,6467,6691,6938,7170,7393,7613,7844,8061,8313,8563,8809,9061,9329,9574,9827,10109,10386,10679,10963,11300,11622,11936,12249,12545,12855,13176,13524,13877,14217,14571,14928,15253,15585,15971,16340,16726,17115,17474,17862,18245,18682,19070,19467,19866,20257,20666,21122,21576,22031,22484,22983,23501,24040,24531,25110,25652,26274,26879,27545,28195,28825,29523,30223,30982,31692,32390,33184,33988,34836,35677,36470,37361,38253,39205,40165,41137,42182,43237,44366,45469,46638,47809,49029,50239,51539,52860,54203,55573,56964,58373,59867,61319,62928,64576,66215,67873,69625,71385,73174,74989,76733,78557,80424,82358,84331,86274,88210,90263,92517,94655,96902,99205,101534,103919,106382,108879,111387,113917,116574,119372,122235,125160,128086,131034,134078,137226,140321,143543,146774,150137,153468,157002,160522,164113,167697,171410,175199,179011,182939,186962,191117,195327,199623,203936,208297,212802,217552,222302,227205,232339,237494,242872,248163,253656,259338,264997,270748,276605,282661,288846,295072,301350,307885,314669,321567,328380,335205,342376,349568,356852,364267,371669,379274,387092,395128,403112,411153,419305,427543,435875,444306,452754,461490,470308,479458,488504,497829,507476,517120,526889,536791,546846,557123,567881,578496,589267,600149,611261,622737,634201,645870,657704,669581,681589,693628,705983,718510,731167,744160,757119,770107,783405,796914,810380,823914,837899,852096,866078,880440,894741,909199,923467,938165,952905,967841,982827,997462,1012723,1028288,1043804,1059513,1075170,1090863,1106716,1122790,1138730,1154880,1171427,1188072,1204845,1221748,1238721,1255873,1273156,1290567,1308128,1325546,1343346,1361398,1379410,1397778,1416152,1434655,1453701,1472745,1491803,1511109,1530433,1549877,1569894,1589876,1609849,1629701,1649849,1669761,1689868,1710047,1730482,1750956,1771868,1792441,1813227,1834275,1855788,1877142,1898762,1920225,1942239,1964646,1987017,2009245,2031701,2054431,2077558,2100287,2123078,2146436,2169922,2193558,2217349,2240991,2264983,2288977,2313320,2337504,2362190,2386785,2411787
1,1,1,1,1,2,3,3,6,6,6,8,9,9,9,10,10,13,15,15,18,19,19,19,19,23,25,26,27,30,31,36,38,45,46,52,57,66,77,86,92,95,109,116,130,140,157,167,178,190,205,219,235,252,266,286,311,326,345,359,374,397,420,440,457,479,499,515,530,545,563,575,592,609,624,636,654,679,704,718,741,762,783,801,816,832,847,865,882,891,913,937,962,988,1011,1030,1051,1068,1095,1123,1148,1169,1204,1229,1255,1275,1304,1327,1344,1361,1381,1413,1435,1466,1483,1506,1539,1573,1606,1625,1648,1677,1708,1739,1769,1786,1810,1851,1876,1899,1925,1963,1993,2028,2064,2117,2155,2213,2256,2293,2343,2392,2438,2495,2547,2622,2676,2733,2791,2842,2909,2969,3024,3076,3138,3188,3252,3314,3360,3403,3445,3501,3557,3607,3655,3724,3783,3838,3900,3956,4017,4073,4145,4222,4271,4338,4404,4480,4560,4646,4734,4821,4890,4972,5060,5150,5252,5345,5439,5554,5649,5763,5897,6007,6133,6274,6397,6510,6639,6772,6901,7026,7176,7312,7457,7584,7727,7877,8022,8157,8322,8473,8636,8809,8978,9135,9286,9476,9674,9878,10072,10268,10491,10720,10922,11178,11417,11689,11957,12221,12520,12817,13118,13402,13681,13991,14317,14636,14966,15284,15608,15978,16320,16664,17048,17444,17808,18189,18617,19030,19467,19876,20309,20736,21180,21591,21976,22410,22823,23289,23737,24205,24748,25238,25704,26184,26634,27118,27592,28077,28575,29051,29586,30079,30572,31117,31648,32182,32747,33309,33885,34475,35083,35726,36381,37043,37704,38381,39082,39811,40529,41247,42001,42755,43497,44209,44972,45730,46523,47307,48117,48904,49712,50538,51381,52307,53192,54095,54992,55970,56908,57919,58997,60121,61243,62426,63573,64729,65970,67233,68625,70031,71419,72854,74325,75734,77257,78752,80349,81916,83570,85272,86959,88682,90363,92105,93858,95588,97347,99041,100908,102845,104704,106595,108414,110368,112378,114357,116436,118556,120686,122870,125020,127139,129408,131738,133991,136263,138640,141076,143473,146019,148692,151351,153884,156590,159331,162124,165032,168054,170993,174098,177135,180265,183376,186691,190023,193517,196947,200532,204123,207727,211449,215228,219132,222970,227033,231093,235174,239369,243725,248121,252672,257178,261786,266523,271234,276013,280825,285785,291007,296114,301341,306641,312136,317678,323302,329171,334890,340745,346818,352801,359058,365528,372031,378732,385708,392678,399999,407438,414972,422508,430328,438194,446241,454459,462823,471318,479801,488656,497529,506357,515413,524800,534343,543892,553732,563715,573989,584448,594988,605659,616770,627872,639124,650614,662228,674255,686199,698185,710273,722554,734999,747521,760318,773250,786231,799261,812773,826193,839827,853530,867421,881622,895912,910180,924719,939466,954213,969371,984513,1000216,1015875,1031860,1047972,1064436,1080879,1097646,1114543,1131570,1148854,1166265,1184305,1202095,1220204,1238601,1256939,1275577,1294368,1313254,1332256,1351490,1370874,1390599,1410200,1430380,1450418
1,1,3,5,6,8,12,13,14,15,16,16,16,17,21,27,29,33,38,41,46,51,55,58,60,67,69,70,75,79,83,90,99,103,112,123,125,131,136,148,163,174,186,196,204,212,221,236,248,261,275,288,297,304,312,329,346,356,368,385,401,415,436,460,476,497,516,541,557,584,612,629,650,674,708,731,755,779,806,832,865,899,928,959,982,1001,1031,1052,1085,1120,1163,1211,1254,1302,1327,1365,1414,1464,1499,1539,1579,1608,1655,1704,1749,1786,1848,1904,1950,2001,2046,2090,2129,2170,2206,2256,2309,2345,2395,2437,2479,2510,2552,2598,2646,2702,2735,2772,2809,2859,2907,2948,2979,3016,3044,3081,3120,3154,3197,3227,3269,3317,3360,3399,3453,3487,3529,3579,3620,3661,3712,3778,3840,3894,3953,4008,4068,4135,4200,4258,4334,4421,4495,4562,4626,4695,4782,4858,4935,5021,5116,5205,5293,5387,5456,5544,5644,5742,5830,5919,6006,6108,6218,6312,6416,6514,6607,6717,6847,6950,7038,7157,7262,7358,7456,7566,7664,7787,7922,8030,8152,8278,8401,8518,8646,8785,8918,9068,9234,9388,9543,9696,9875,10057,10239,10444,10636,10817,11009,11188,11381,11540,11767,11961,12132,12343,12552,12761,12983,13195,13424,13635,13872,14114,14331,14569,14830,15094,15380,15633,15939,16201,16498,16788,17067,17416,17713,18012,18328,18684,18997,19381,19746,20099,20478,20857,21253,21658,22092,22537,22937,23393,23830,24289,24777,25271,25753,26237,26719,27248,27740,28240,28783,29341,29898,30462,31039,31648,32319,32987,33653,34328,34992,35717,36462,37180,37933,38719,39488,40333,41136,41990,42846,43810,44799,45753,46738,47797,48899,50056,51177,52376,53633,54886,56123,57448,58719,60062,61373,62724,64147,65526,66990,68463,69906,71393,72892,74434,76009,77608,79368,80989,82694,84492,86195,88016,89809,91623,93557,95470,97483,99483,101585,103618,105772,107946,110157,112380,114740,117137,119589,122134,124583,127116,129716,132373,134937,137608,140486,143246,146128,149087,152019,155070,158066,161112,164287,167532,170852,174238,177515,180982,184524,188112,191833,195598,199381,203263,207100,211008,215058,219118,223336,227563,231777,236126,240486,244822,249174,253631,258222,262767,267354,272103,276813,281773,286788,291770,296849,302159,307578,313035,318530,323828,329420,335070,341051,347157,353273,359570,365933,372337,378710,385278,392078,398974,405798,412907,419957,427235,434478,441876,449299,456782,464517,472492,480565,488613,496889,505141,513671,522168,530630,539211,547978,556920,565847,574976,584117,593537,603133,612682,622407,632199,642241,652224,662133,672032,682086,692235,702643,713335,724232,735221,746163,757312,768609,780385,792332,804240,816412,828495,840882,853653,866416,879332,892362,905513,918960,932436,945911,959741,973690,987895,1002109,1016594,1031206,1045768,1060434,1075533,1090565,1105647,1121009,1136583,1151991,1167719,1183774,1199874,1216004,1232385,1249011,1265977,1282506,1299157,1316213,1333186,1350748,1368471,1386564,1404508,1422285,1440593,1459203,1478043,1496650,1515483,1534329
1,1,1,1,3,5,5,6,7,8,9,11,13,14,17,18,18,19,19,21,23,28,33,35,39,42,44,47,49,50,57,69,74,79,83,90,97,102,112,117,124,126,129,131,135,140,146,151,156,158,160,165,168,171,175,178,184,184,185,187,187,191,193,196,198,203,205,206,207,208,210,210,210,212,213,215,217,219,219,222,224,225,228,230,233,233,237,240,240,240,244,247,252,257,264,270,273,278,283,286,289,292,297,302,313,321,330,334,342,349,357,366,378,384,392,403,418,436,452,465,491,507,521,532,555,574,586,602,621,644,664,677,693,711,732,752,771,793,809,826,841,859,881,905,922,942,963,979,991,1007,1022,1036,1053,1064,1085,1101,1116,1134,1152,1166,1179,1193,1207,1227,1245,1259,1275,1290,1301,1324,1340,1357,1368,1383,1406,1424,1445,1478,1499,1522,1546,1568,1592,1618,1637,1662,1692,1713,1734,1748,1771,1796,1821,1839,1859,1881,1907,1936,1970,1999,2026,2066,2094,2119,2152,2182,2207,2235,2266,2305,2337,2371,2404,2441,2473,2513,2545,2583,2624,2675,2712,2759,2807,2854,2901,2952,3011,3073,3125,3195,3262,3336,3423,3515,3593,3689,3775,3881,3990,4081,4199,4302,4400,4507,4619,4709,4828,4954,5105,5254,5415,5551,5698,5849,5997,6162,6338,6499,6677,6861,7024,7202,7352,7523,7709,7906,8101,8292,8471,8661,8851,9070,9292,9507,9737,9970,10214,10465,10699,10910,11146,11386,11631,11855,12091,12341,12586,12835,13078,13353,13596,13832,14065,14290,14511,14754,15013,15235,15501,15754,16000,16247,16502,16761,17032,17302,17563,17850,18116,18378,18623,18886,19160,19421,19706,20020,20323,20595,20853,21179,21477,21796,22117,22426,22759,23071,23379,23706,24036,24351,24649,24995,25320,25666,26043,26413,26832,27236,27632,28048,28469,28895,29338,29819,30271,30750,31274,31774,32275,32814,33360,33925,34512,35039,35632,36231,36776,37365,37950,38535,39132,39748,40420,41103,41779,42443,43181,43918,44656,45405,46179,46963,47759,48564,49364,50148,50977,51857,52678,53534,54357,55197,56090,56907,57734,58622,59529,60460,61370,62335,63287,64263,65236,66234,67311,68400,69473,70604,71761,72948,74142,75438,76727,78079,79439,80781,82214,83637,85062,86509,88004,89437,90980,92531,94039,95590,97178,98761,100427,102113,103754,105438,107086,108723,110403,112070,113818,115470,117207,119059,120971,122847,124819,126831,128854,130999,133183,135349,137579,139924,142207,144471,146854,149323,151764,154199,156781,159389,162024,164645,167376,170173,173058,175840,178681,181641,184536,187484,190462,193493,196575,199657,202740,205965,209172,212530,215777,219258,222708,226280,229910,233577,237384,241214,245285,249310,253415,257620,261689,265876,270214,274380,278830,283231,287780,292224,296762,301441,306305,311213,316122,320884,325891,330751,335863,341010,346236
1,1,1,1,2,2,3,4,6,8,12,12,13,17,19,19,19,19,21,21,24,24,27,27,33,36,38,40,44,47,51,53,53,56,57,57,57,62,73,81,83,86,93,97,104,111,115,117,122,132,139,143,150,154,159,162,168,172,180,187,193,196,198,204,207,210,213,218,223,226,232,233,239,244,248,254,262,265,266,273,278,282,284,286,291,299,303,308,314,318,320,321,325,327,330,334,340,343,349,351,358,362,368,370,380,384,390,394,400,409,418,426,437,445,453,461,472,482,493,506,512,520,527,537,545,554,564,572,593,610,616,625,633,650,665,680,690,699,710,720,733,747,760,769,774,790,797,811,824,842,858,873,883,896,911,925,936,953,966,982,995,1008,1017,1033,1048,1061,1072,1090,1102,1118,1130,1144,1153,1164,1179,1198,1213,1221,1233,1251,1269,1280,1291,1307,1316,1331,1343,1355,1367,1375,1389,1398,1413,1429,1439,1456,1481,1494,1510,1521,1537,1547,1556,1573,1585,1598,1618,1630,1640,1657,1674,1690,1709,1723,1735,1748,1764,1783,1799,1816,1831,1848,1868,1882,1905,1915,1930,1942,1959,1979,1997,2011,2027,2037,2047,2058,2074,2090,2107,2128,2136,2145,2155,2167,2176,2186,2196,2208,2215,2225,2235,2249,2259,2268,2274,2284,2298,2307,2322,2330,2338,2346,2360,2364,2376,2388,2397,2405,2414,2422,2433,2447,2457,2466,2473,2485,2498,2508,2525,2543,2568,2583,2596,2621,2634,2661,2685,2713,2742,2768,2802,2832,2866,2904,2947,2991,3048,3096,3143,3197,3245,3298,3358,3405,3444,3481,3533,3596,3652,3712,3780,3839,3898,3961,4033,4099,4176,4241,4324,4410,4494,4572,4657,4774,4871,4970,5092,5228,5348,5488,5624,5747,5879,6025,6160,6294,6414,6544,6679,6793,6936,7073,7216,7341,7475,7615,7760,7921,8050,8187,8323,8469,8614,8791,8959,9126,9289,9448,9671,9890,10138,10369,10623,10870,11152,11420,11685,11969,12272,12581,12882,13185,13437,13700,14013,14313,14573,14876,15175,15496,15791,16112,16438,16760,17077,17414,17766,18133,18497,18850,19197,19594,19984,20392,20773,21151,21528,21961,22370,22798,23272,23728,24174,24659,25121,25640,26112,26621,27111,27591,28042,28524,29024,29465,29970,30481,31040,31545,32063,32571,33104,33697,34234,34816,35392,36003,36613,37255,37926,38562,39196,39836,40580,41294,42006,42724,43523,44312,45127,45955,46845,47747,48651,49541,50468,51439,52391,53361,54285,55279,56277,57312,58365,59381,60523,61643,62785,63922,65131,66349,67629,68885,70248,71582,72926,74383,75792,77306,78840,80400,81989,83658,85295,86993,88705,90391,92137,93987,95893,97744,99682,101470,103437,105476,107546,109601,111628,113702,115913,118181,120461,122719,125074,127435,129898,132390,134829
1,1,1,1,3,4,6,6,6,7,8,8,8,10,10,11,14,14,15,18,18,20,20,20,20,20,21,23,24,27,29,31,31,34,38,40,46,55,63,67,72,77,86,94,100,102,109,112,121,127,132,138,144,148,156,160,167,173,175,185,191,196,201,205,211,213,220,226,232,242,254,263,270,273,282,292,299,306,314,327,335,340,348,354,368,379,386,398,411,417,420,430,436,447,452,461,467,475,485,496,505,515,525,533,544,553,562,575,588,599,614,628,649,660,673,687,703,724,739,762,780,802,825,854,883,908,944,966,1002,1026,1056,1084,1126,1155,1191,1231,1273,1317,1359,1387,1426,1464,1498,1536,1581,1616,1659,1694,1723,1760,1795,1818,1858,1894,1929,1969,2009,2043,2078,2112,2155,2194,2230,2265,2316,2362,2404,2446,2481,2518,2569,2610,2663,2707,2763,2815,2872,2918,2975,3034,3085,3133,3182,3239,3284,3336,3382,3424,3480,3530,3583,3627,3677,3722,3765,3806,3848,3896,3945,3991,4024,4065,4115,4156,4197,4240,4278,4317,4372,4416,4461,4501,4537,4574,4616,4673,4734,4771,4831,4873,4916,4960,5001,5057,5131,5198,5255,5309,5382,5439,5505,5572,5653,5748,5827,5912,5998,6094,6182,6270,6352,6449,6538,6633,6732,6826,6910,7002,7105,7207,7314,7403,7498,7601,7727,7843,7958,8077,8193,8321,8428,8547,8694,8854,9029,9186,9378,9597,9843,10082,10291,10484,10700,10940,11149,11385,11601,11820,12030,12257,12484,12714,12905,13117,13323,13546,13752,13989,14228,14522,14765,15034,15348,15652,15957,16339,16639,16946,17282,17623,17981,18323,18670,19022,19404,19812,20203,20626,21015,21423,21859,22266,22652,23016,23416,23796,24186,24566,24946,25320,25687,26081,26453,26821,27237,27618,28020,28409,28814,29212,29639,30083,30488,30910,31368,31844,32297,32799,33291,33809,34300,34844,35343,35870,36412,36965,37537,38172,38763,39342,39958,40591,41230,41939,42631,43305,44017,44769,45496,46271,47046,47806,48628,49427,50286,51145,52019,52878,53771,54628,55501,56405,57310,58192,59105,60071,60999,61930,62944,63938,64952,66027,67071,68107,69229,70291,71462,72579,73690,74839,76083,77271,78545,79870,81171,82459,83822,85208,86634,88023,89498,90881,92352,93907,95454,97015,98650,100308,102009,103681,105444,107201,108978,110767,112737,114637,116641,118654,120810,122932,125080,127336,129590,131907,134172,136469,138940,141474,143936,146401,148983,151654,154342,157164,159996,162807,165694,168666,171760,174735,177843,181061,184296,187623,191100,194471,197907,201442,204899,208559,212318,216246,220167,224291,228488,232589,236781,241056,245610,250230,254903,259685,264676,269866,275124,280336,285524,290974,296397,301856,307558,313232,319040,324982,330969,337158,343284,349736,356272,362621,369165,375938,382664,389333,396213,403181,410167,417361,424544,431766,439190,446663,454143,461580,469345,476995,484897
1,1,1,2,2,5,5,7,7,8,9,13,15,19,19,21,21,25,27,30,34,35,41,46,53,55,67,70,73,81,88,95,100,108,113,118,122,126,128,131,137,141,143,145,149,153,159,162,169,172,173,180,185,191,196,200,207,211,215,220,224,228,232,236,243,256,266,274,287,291,296,304,311,319,325,333,342,350,360,367,373,382,399,413,430,449,463,483,502,521,537,572,629,678,740,787,856,912,974,1047,1136,1196,1265,1351,1410,1482,1542,1606,1653,1710,1771,1825,1881,1924,1971,1999,2044,2080,2133,2181,2226,2264,2308,2343,2375,2416,2450,2475,2507,2537,2569,2595,2627,2663,2702,2746,2776,2808,2844,2872,2905,2943,2974,3002,3034,3067,3096,3126,3152,3182,3210,3233,3257,3279,3304,3334,3370,3396,3422,3450,3478,3500,3529,3579,3616,3645,3692,3727,3755,3793,3826,3865,3898,3935,3968,3995,4030,4070,4111,4158,4200,4240,4294,4327,4376,4433,4472,4531,4595,4637,4689,4751,4807,4875,4922,4999,5065,5127,5203,5290,5363,5446,5535,5628,5724,5824,5939,6058,6182,6317,6443,6588,6742,6890,7054,7254,7450,7663,7917,8170,8414,8714,8966,9246,9517,9776,10017,10310,10591,10911,11233,11610,11975,12354,12779,13219,13664,14155,14648,15183,15694,16200,16754,17296,17823,18342,18868,19439,20001,20582,21165,21722,22288,22874,23445,24028,24589,25232,25824,26441,27116,27782,28456,29070,29761,30458,31125,31829,32537,33312,34120,34907,35718,36548,37356,38227,39106,40031,40991,41954,42903,43859,44847,45874,46913,47939,49021,50047,51144,52203,53349,54465,55599,56836,58029,59212,60539,61823,63132,64503,65861,67284,68745,70270,71897,73464,75128,76776,78389,80079,81810,83532,85307,87141,89009,90912,92852,94683,96737,98671,100788,102899,104985,107157,109420,111696,114009,116297,118736,121192,123687,126328,128847,131510,134224,137118,139986,142943,145927,149027,152093,155267,158396,161744,165169,168551,172019,175488,179026,182652,186320,190032,193959,197778,201768,205753,209741,213897,218271,222661,226986,231425,236060,240801,245568,250283,255057,259921,264968,269907,275038,280301,285590,291035,296384,301973,307609,313396,319242,325203,331219,337315,343466,349724,356191,362943,369487,376346,383009,389925,396955,404082,411314,418604,426029,433768,441537,449538,457499,465640,473984,482462,491049,499889,508688,517861,527062,536306,545705,555189,564779,574291,583964,593738,603880,614184,624293,634803,645322,656025,667073,677927,689048,700301,711436,723004,734622,746526,758574,770900,783220,795667,808251,820883,833581,846810,860030,873406,887140,900928,914750,929005,943247,957374,971820,986487,1001200,1016168,1031491,1046820,1062415,1078130,1093880,1109758,1125802,1142274,1158700,1175148,1191773,1208686,1225596,1242773,1260061,1277634,1295291,1313139,1330832,1349007,1367270,1385979,1404543,1423212,1441798,1461010,1480334,1499825,1519496,1539294,1559452,1579584,1600377,1620967,1642151,1663435,1684935,1706718,1728452,1750528,1772569,1794891,1817490,1840287,1863086,1885932,1908777,1931964,1954878
1,1,3,5,7,8,10,12,14,16,21,26,28,33,36,38,46,49,55,64,68,74,81,85,91,95,97,102,106,111,114,118,123,127,129,133,135,137,139,144,149,153,156,162,163,169,172,174,175,176,178,181,184,185,186,187,188,191,194,196,197,200,201,201,201,201,202,204,206,206,210,210,211,211,211,212,213,213,213,213,213,215,218,218,218,218,218,220,220,220,220,220,220,221,221,224,226,227,228,231,232,234,235,246,262,275,286,294,305,324,367,405,468,568,657,751,851,958,1073,1198,1302,1394,1486,1583,1684,1778,1891,1989,2138,2263,2427,2571,2735,2951,3147,3369,3617,3876,4153,4412,4719,5011,5325,5645,5952,6303,6635,6959,7303,7633,7970,8308,8652,8974,9318,9688,10012,10331,10656,10978,11287,11593,11879,12156,12471,12769,13073,13379,13651,13971,14312,14662,15017,15373,15754,16115,16494,16829,17210,17607,18010,18379,18778,19162,19572,19951,20335,20722,21120,21524,21918,22351,22806,23230,23643,24071,24476,24896,25306,25777,26193,26644,27102,27602,28102,28624,29108,29632,30148,30664,31198,31746,32302,32798,33348,33869,34412,35011,35630,36234,36820,37419,37993,38556,39141,39748,40305,40875,41485,42067,42674,43278,43885,44514,45147,45794,46444,47076,47740,48417,49085,49782,50499,51191,51944,52711,53444,54235,55056,55915,56775,57630,58494,59384,60330,61268,62248,63231,64229,65228,66201,67249,68278,69322,70332,71386,72448,73491,74567,75640,76785,77952,79066,80234,81297,82414,83606,84787,86039,87247,88486,89800,91027,92256,93518,94868,96190,97545,98891,100289,101670,103111,104556,105998,107454,109021,110574,112088,113697,115391,117115,118841,120654,122449,124340,126230,128193,130188,132241,134345,136533,138654,140945,143126,145365,147683,150090,152568,154929,157373,159967,162530,165133,167808,170493,173081,175925,178807,181651,184577,187453,190410,193394,196482,199566,202698,205835,208953,212136,215318,218567,221935,225388,228870,232351,235877,239439,243048,246695,250429,254123,257921,261710,265620,269550,273557,277487,281544,285607,289792,293887,298030,302341,306541,310852,315143,319505,323987,328502,333095,337799,342471,347310,352348,357374,362448,367659,372802,378141,383552,389223,394740,400415,406182,412104,418044,424016,430279,436454,442832,449344,456056,462792,469584,476665,483786,491251,498755,506428,514051,521903,529936,538121,546395,554781,563079,571886,580644,589479,598561,607858,617362,626808,636404,646005,656030,665876,676233,686403,696909,707402,718025,729029,740009,751316,762539,774263,786047,797774,810032,822125,834385,847060,859535,872715,885842,899042,912417,925876,939741,953721,967679,982084,996603,1011295,1025874,1040635,1055560,1070780,1086167,1101563,1117198,1133006,1149037,1164961,1181293,1197675,1214531,1231330,1248150,1265181,1282671,1300018,1317989,1335936,1353638,1371627,1389928,1408447,1427120,1445858,1464637,1483684,1502781,1521938,1541511,1560959,1580618,1600373,1619933,1639838,1659835,1679896,1700176,1720374,1740741,1761172,1781783,1802690,1823937,1845337,1866644,1888058,1909632,1931517,1953058,1975136
1,1,1,1,1,1,1,3,6,6,7,8,9,12,12,15,21,23,25,25,25,30,34,37,38,40,43,43,46,49,52,54,56,61,64,66,73,82,86,91,96,100,113,117,122,131,141,148,154,163,170,174,179,184,192,197,201,210,213,218,225,232,239,243,245,249,251,259,263,269,276,282,287,298,306,309,316,326,337,341,347,354,359,364,369,375,381,387,398,407,419,430,438,444,456,475,490,500,525,542,557,574,584,604,623,643,665,679,690,709,727,745,764,781,801,817,834,844,852,870,880,906,926,953,972,992,1009,1024,1038,1063,1083,1100,1122,1140,1163,1180,1203,1228,1251,1276,1302,1323,1345,1375,1406,1435,1466,1493,1520,1546,1565,1591,1623,1647,1663,1684,1718,1739,1762,1777,1813,1853,1884,1918,1943,1977,2010,2061,2129,2210,2310,2413,2530,2653,2779,2900,3027,3142,3260,3400,3524,3650,3788,3901,4002,4095,4214,4356,4474,4590,4689,4795,4878,4976,5103,5214,5320,5399,5497,5609,5711,5795,5888,5968,6088,6184,6273,6364,6464,6570,6656,6759,6867,6966,7045,7148,7249,7341,7459,7585,7690,7800,7902,8009,8135,8263,8374,8486,8593,8719,8868,8994,9136,9280,9417,9586,9742,9910,10046,10221,10367,10479,10649,10823,10969,11142,11333,11512,11712,11865,12074,12250,12452,12674,12878,13085,13298,13499,13716,13936,14159,14438,14672,14914,15124,15351,15621,15890,16123,16377,16662,16946,17230,17508,17763,18033,18356,18637,18954,19306,19647,19974,20285,20637,20996,21331,21698,22088,22465,22860,23243,23662,24055,24448,24844,25257,25672,26128,26576,27022,27501,27955,28422,28922,29417,29887,30380,30884,31409,31943,32497,33071,33655,34197,34854,35475,36123,36813,37553,38289,38993,39702,40509,41256,42090,42933,43813,44647,45572,46459,47428,48382,49364,50316,51303,52297,53368,54455,55464,56522,57594,58691,59822,60974,62198,63406,64669,65944,67206,68479,69775,71164,72683,74148,75636,77213,78765,80327,81922,83553,85115,86666,88230,89865,91482,93165,94810,96532,98298,100046,101871,103760,105616,107691,109726,111863,113967,116024,118254,120512,122824,125212,127628,130021,132356,134820,137327,139893,142370,144918,147513,150052,152653,155327,157977,160619,163251,165883,168591,171336,174094,176909,179760,182700,185593,188495,191465,194572,197735,200893,204132,207478,210777,214319,217885,221490,225099,228853,232546,236260,239988,243783,247620,251629,255723,259880,264126,268322,272699,277150,281632,286172,291094,295993,301023,306129,311280,316540,321848,327203,332657,338230,343796,349443,355232,361139,367197,373229,379550,385820,392142,398631,405133,411567,418192,424752,431682,438632,445454,452443,459660,467019,474456,482141,489744,497456,505487,513621,521845,529961,538192,546533,555090,563710,572412,581143,590121,599325,608432,617498,626814,636236,645725,655477,665476,675493,685657,696009,706466,717078,727801,738959,750290,761676,773200,785027,796773
1,1,1,1,1,1,6,6,7,10,11,12,14,18,23,25,27,31,33,37,42,47,49,51,57,65,69,71,75,81,83,85,93,97,101,106,111,113,117,122,124,127,131,133,139,144,147,149,152,156,160,162,168,170,173,176,177,182,185,188,192,202,209,213,216,221,233,245,250,256,266,273,290,296,308,320,325,332,341,355,368,381,394,410,431,448,468,483,496,514,528,540,564,585,603,621,644,674,702,723,739,760,781,805,835,852,875,902,928,955,984,997,1029,1062,1088,1099,1136,1165,1200,1230,1263,1285,1313,1341,1367,1395,1437,1460,1487,1522,1557,1583,1617,1650,1673,1700,1734,1758,1785,1814,1840,1867,1886,1907,1931,1951,1975,1996,2028,2045,2071,2090,2107,2135,2155,2181,2210,2247,2287,2333,2384,2418,2466,2509,2566,2624,2673,2734,2798,2856,2920,3017,3095,3184,3264,3343,3443,3543,3631,3733,3837,3947,4047,4138,4239,4355,4462,4579,4701,4819,4924,5062,5169,5306,5435,5555,5675,5811,5989,6148,6308,6456,6619,6796,6975,7130,7321,7510,7726,7934,8157,8392,8621,8866,9066,9327,9556,9816,10058,10341,10604,10867,11151,11467,11782,12084,12425,12729,13043,13395,13727,14125,14490,14883,15256,15682,16071,16482,16890,17295,17704,18101,18496,18928,19387,19874,20344,20784,21268,21770,22280,22795,23312,23869,24446,25066,25642,26312,27010,27701,28409,29136,29848,30599,31377,32117,32902,33693,34409,35197,36054,36916,37752,38610,39497,40427,41408,42383,43363,44389,45459,46540,47660,48801,49935,51113,52300,53508,54744,55983,57166,58391,59698,60989,62272,63541,64840,66158,67516,68851,70226,71672,73184,74673,76153,77701,79295,80938,82640,84315,86071,87816,89591,91524,93501,95484,97545,99620,101631,103721,105885,107962,110232,112491,114756,117128,119522,122034,124498,127013,129513,132168,134708,137346,140024,142681,145314,148086,150828,153634,156502,159371,162279,165167,168087,171134,174317,177464,180733,184064,187343,190697,194065,197526,201139,204625,208229,212050,215908,219685,223583,227556,231571,235779,239937,244204,248494,253008,257389,261786,266437,271115,275849,280720,285526,290479,295393,300413,305428,310489,315501,320695,325996,331296,336612,342039,347617,353294,359081,364948,370993,377083,383075,389311,395734,402182,408881,415498,422272,429016,435925,442940,450343,457612,465202,472686,480593,488437,496502,504696,512872,521498,530046,538699,547548,556569,565513,574709,584166,593462,603039,612858,622826,632857,643092,653460,663752,674346,685109,696151,707173,718231,729848,741439,753035,764913,776979,788970,801192,813930,826515,839270,852328,865390,878738,892204,905989,919548,933573,947515,961846,976080,990307,1005130,1020003,1035087,1050329,1065714,1081182,1096662,1112325,1128260,1144297,1160341,1176629,1192929,1209433,1226149,1243217,1259837,1276895,1294015,1311203,1328440,1345889,1363454,1381348,1399381,1417416,1435633,1454023,1472779,1491452,1510271,1529459,1548708,1568196,1587951,1607466,1627135,1646847,1666921,1687168,1707629,1728102,1748789,1769644
1,1,2,4,6,9,11,14,14,14,16,19,22,26,28,30,34,38,41,44,49,55,58,61,66,70,77,83,87,96,101,106,109,115,121,126,130,132,137,138,143,144,148,151,154,157,157,159,163,168,168,170,172,173,176,178,179,182,183,185,186,186,186,187,189,190,193,194,196,197,198,200,200,200,202,204,206,211,214,218,220,225,230,236,239,243,252,265,272,283,289,300,314,327,338,357,370,383,397,417,427,448,466,485,511,535,552,568,592,614,641,669,698,724,753,777,809,844,880,910,942,979,1023,1066,1113,1152,1209,1272,1332,1396,1472,1540,1619,1702,1779,1870,1945,2023,2119,2212,2304,2388,2478,2557,2636,2739,2842,2954,3063,3161,3263,3378,3498,3609,3719,3860,3967,4083,4217,4321,4459,4599,4729,4864,5029,5181,5325,5452,5612,5755,5892,6048,6193,6344,6517,6730,6914,7115,7292,7510,7717,7927,8129,8325,8557,8785,9014,9260,9503,9758,10004,10256,10488,10706,10944,11226,11503,11759,12058,12371,12704,12987,13290,13639,14009,14396,14802,15193,15606,16092,16544,17047,17534,18042,18554,19107,19616,20180,20776,21311,21883,22473,23077,23731,24420,25071,25717,26448,27121,27847,28545,29264,29970,30671,31404,32212,32946,33743,34565,35390,36217,36979,37746,38576,39376,40237,41058,41957,42783,43626,44583,45460,46385,47339,48262,49225,50216,51234,52300,53316,54389,55440,56503,57522,58602,59756,60854,61973,63098,64245,65395,66539,67754,68916,70082,71258,72537,73812,75039,76299,77601,78884,80227,81548,82901,84213,85593,87000,88448,89930,91479,93057,94653,96256,97906,99526,101241,102935,104645,106557,108426,110375,112342,114360,116414,118476,120637,122840,125076,127354,129735,132121,134551,137012,139517,142158,144928,147668,150390,153212,156127,159012,161997,165036,167992,171102,174335,177699,181097,184410,187793,191244,194818,198471,202091,205843,209653,213528,217453,221409,225425,229566,233799,237996,242284,246632,251089,255561,260166,264649,269375,274113,278782,283642,288561,293645,298738,303728,308964,314220,319532,324914,330342,335821,341428,347105,352713,358585,364568,370487,376697,382936,389273,395644,402177,408588,415178,421935,428727,435720,442768,449876,457040,464415,471798,479376,487129,495003,502901,511000,519258,527620,536231,544902,553817,562784,571910,581172,590572,600018,609526,619072,628550,638281,648085,657994,667865,678218,688677,699159,709919,720909,731985,743186,754551,766200,777718,789432,801413,813436,825808,838252,850731,863578,876323,889124,902150,915458,928953,942596,956271,970141,984021,998158,1012464,1026776,1041097,1055588,1070010,1085092,1100198,1115303,1130653,1146381,1162211,1177976,1193970,1210166,1226429,1242911,1259639,1276361,1293422,1310633,1327588,1344684,1361855,1379078,1396570,1413890,1431777,1449593,1467390,1485194,1503213,1521499,1539943,1558451,1577080,1595945,1614910,1633911,1653112,1672533,1692119,1711808,1731784,1751730,1772221,1792515,1813012,1833542,1853999,1874811,1895747,1916593,1937777,1958989,1980205,2001512,2022854,2044440,2066561,2088700,2110833,2133009,2155212
1,1,1,1,1,1,2,4,5,7,8,9,9,11,13,15,16,17,25,25,29,31,34,38,42,44,48,51,55,60,63,69,75,77,80,83,85,89,94,102,107,111,116,123,130,133,137,140,145,148,152,154,161,169,172,176,180,181,184,187,189,190,191,194,196,196,199,201,207,210,212,214,218,218,220,220,221,224,228,232,235,242,245,247,250,255,259,262,268,272,276,283,289,289,295,298,305,310,316,323,327,336,338,340,344,349,354,361,364,369,374,376,377,383,385,393,402,404,411,417,421,426,429,434,439,446,453,457,460,468,476,483,489,496,501,511,514,520,529,539,544,551,555,558,560,564,573,576,581,587,593,602,611,618,628,633,640,646,652,661,666,672,684,695,705,714,724,729,738,741,747,756,765,774,781,784,794,807,814,824,829,841,856,864,872,876,892,899,911,924,939,961,979,996,1014,1024,1041,1056,1063,1082,1100,1119,1134,1155,1174,1192,1204,1226,1245,1264,1279,1297,1318,1334,1351,1368,1389,1402,1421,1439,1452,1469,1487,1507,1526,1551,1568,1582,1596,1610,1632,1656,1681,1706,1733,1754,1786,1818,1852,1880,1903,1926,1952,1983,2019,2069,2102,2129,2167,2201,2237,2283,2344,2400,2445,2497,2550,2605,2658,2709,2774,2823,2889,2953,3027,3106,3185,3247,3327,3415,3519,3628,3738,3854,3967,4092,4220,4316,4426,4555,4678,4823,4983,5154,5295,5455,5609,5742,5883,6032,6195,6344,6511,6647,6789,6949,7114,7275,7419,7582,7741,7909,8102,8278,8447,8631,8808,8974,9178,9391,9579,9780,9962,10172,10389,10614,10831,11053,11286,11511,11735,11990,12257,12500,12763,13013,13257,13496,13758,14019,14272,14540,14774,15042,15352,15621,15916,16224,16527,16814,17100,17411,17749,18062,18396,18717,19058,19392,19763,20158,20504,20911,21355,21747,22232,22693,23173,23613,24077,24531,25021,25511,26039,26562,27138,27759,28360,28996,29633,30297,30980,31769,32465,33226,34041,34828,35656,36508,37409,38288,39230,40064,40981,41877,42812,43697,44677,45710,46706,47772,48855,49962,51133,52275,53441,54713,55997,57296,58586,59966,61427,62905,64367,65919,67410,69017,70546,72178,73839,75552,77283,79039,80852,82589,84382,86295,88102,90086,92007,94035,96134,98256,100432,102688,105003,107249,109499,111932,114342,116829,119324,121799,124353,127002,129621,132245,135097,137973,140864,143652,146624,149630,152794,156007,159240,162659,166040,169444,172879,176441,180170,183980,187663,191580,195374,199350,203272,207214,211310,215365,219577,223898,228221,232790,237326,241941,246783,251672,256718,261839,266935,272365,277642,283076,288726,294338,299936,305724,311579,317378,323313,329287,335590,341866,348259,354614,361148,367849,374472,381360,388332,395350,402329,409549,416958,424387,431905
1,1,1,3,4,4,5,8,9,11,15,17,17,18,19,20,20,20,21,21,22,22,22,24,26,26,27,28,28,28,28,28,28,30,30,31,33,33,35,36,36,37,37,37,38,39,39,40,40,40,40,40,40,41,41,42,42,43,44,45,45,45,47,47,50,51,51,51,52,54,54,54,56,56,57,58,59,60,61,62,65,67,68,72,73,73,76,78,79,80,80,81,81,81,86,87,90,91,95,98,100,105,109,111,116,118,123,128,131,132,136,137,138,143,147,150,160,166,171,179,185,194,203,209,222,234,238,246,255,262,273,288,295,307,317,327,338,348,362,374,382,391,399,415,422,436,448,464,477,490,511,524,535,548,562,579,593,610,627,640,655,671,698,724,736,751,770,788,807,829,843,862,891,908,933,960,982,1005,1021,1039,1061,1078,1105,1136,1162,1187,1224,1248,1266,1284,1307,1333,1358,1379,1401,1426,1447,1463,1494,1517,1534,1553,1574,1601,1630,1656,1676,1707,1735,1762,1792,1824,1844,1875,1902,1923,1964,1993,2027,2047,2075,2094,2123,2156,2186,2218,2256,2293,2317,2347,2376,2400,2435,2464,2487,2522,2561,2607,2649,2685,2724,2760,2794,2832,2876,2909,2950,2999,3048,3097,3147,3189,3246,3296,3355,3409,3487,3549,3617,3671,3740,3814,3882,3942,4015,4093,4171,4250,4327,4440,4523,4604,4696,4796,4901,5009,5111,5236,5375,5515,5654,5783,5916,6066,6234,6391,6594,6773,6972,7158,7345,7541,7731,7915,8121,8325,8541,8767,9006,9223,9468,9726,9929,10170,10394,10625,10854,11109,11353,11611,11883,12169,12454,12729,13000,13302,13581,13889,14179,14506,14823,15190,15569,15956,16306,16666,17046,17449,17889,18368,18792,19268,19754,20238,20752,21299,21862,22431,23005,23606,24157,24760,25380,26018,26672,27329,28064,28759,29406,30124,30855,31626,32426,33231,34032,34846,35632,36470,37370,38274,39218,40143,41092,42104,43112,44063,45136,46168,47276,48340,49363,50452,51573,52668,53722,54795,55813,56925,58066,59201,60255,61379,62517,63676,64952,66232,67509,68820,70141,71514,72892,74304,75795,77292,78832,80368,81929,83494,85176,86830,88606,90303,92130,94019,95855,97726,99715,101725,103669,105729,107755,109859,112035,114225,116363,118604,120853,123153,125558,127931,130330,132784,135359,137906,140474,143039,145766,148517,151258,154042,156792,159689,162523,165441,168384,171415,174395,177427,180450,183517,186626,189790,192976,196244,199429,202630,205838,209131,212561,216046,219503,223051,226718,230472,234176,237958,241770,245715,249703,253819,258047,262295,266536,270862,275319,279777,284228,288727,293394,298086,303019,307885,312686,317728,322785,328059,333376,338663,344077,349660,355445,361211,367119,373077,379065,384947,390953,397145,403445,409855,416260,422775,429313,435932,442919,449738,456619
1,1,3,3,4,5,6,7,10,12,15,16,19,20,23,25,29,31,35,37,42,45,48,51,54,57,60,64,68,70,73,75,79,81,84,90,95,102,109,114,117,120,124,131,134,137,143,151,161,169,177,182,188,194,202,205,208,218,228,231,237,241,251,258,263,271,277,281,288,291,300,303,308,316,324,329,334,339,343,344,347,354,360,361,366,371,378,382,385,395,400,406,410,419,424,433,442,449,458,464,471,481,489,493,497,508,518,523,529,534,542,552,559,570,581,591,595,605,621,637,649,664,677,686,696,703,720,734,753,769,798,811,823,840,862,875,899,923,946,970,1004,1027,1050,1075,1101,1129,1156,1179,1198,1211,1240,1252,1269,1290,1312,1334,1362,1392,1419,1448,1464,1480,1504,1532,1560,1586,1614,1642,1675,1714,1761,1801,1837,1878,1911,1954,1985,2019,2043,2068,2095,2136,2168,2206,2247,2287,2336,2364,2404,2452,2503,2575,2643,2715,2796,2893,2975,3066,3152,3253,3339,3443,3555,3672,3788,3893,3990,4091,4212,4321,4436,4561,4693,4824,4947,5065,5192,5317,5447,5573,5715,5844,5979,6139,6287,6445,6597,6743,6891,7032,7182,7317,7471,7611,7768,7912,8052,8198,8335,8492,8632,8811,8980,9136,9304,9466,9634,9806,9962,10138,10328,10507,10687,10863,11050,11257,11472,11662,11854,12047,12248,12443,12633,12825,13013,13210,13446,13664,13848,14071,14291,14502,14704,14885,15118,15346,15565,15809,16014,16233,16477,16722,16941,17210,17433,17677,17959,18224,18495,18755,19003,19254,19515,19808,20071,20340,20618,20885,21191,21496,21820,22141,22493,22862,23195,23511,23847,24219,24563,24922,25345,25767,26235,26669,27116,27527,27939,28350,28793,29248,29683,30118,30568,31025,31455,31918,32370,32820,33298,33841,34369,34895,35481,36035,36617,37192,37805,38411,39067,39645,40300,40899,41517,42147,42780,43435,44108,44774,45419,46089,46736,47501,48218,48971,49673,50422,51292,52128,52975,53837,54709,55596,56537,57473,58369,59381,60317,61252,62217,63228,64298,65381,66468,67554,68656,69760,70903,72073,73201,74351,75608,76831,78087,79443,80748,82015,83319,84678,86010,87394,88806,90173,91688,93135,94617,96091,97601,99122,100665,102135,103700,105307,107060,108730,110417,112129,113846,115580,117331,119211,121055,122938,124935,127024,129022,131110,133182,135375,137511,139867,142191,144600,147035,149516,151923,154445,157054,159784,162528,165307,168122,170928,173929,176946,180076,183309,186614,189907,193284,196740,200287,203910,207619,211382,215153,219112,222859,226796,230813,234749,238900,243092,247445,251847,256215,260723,265314,270116,275023,279977,285203,290636,296166,301740,307459,313307,319467,325731,332157,338643,345254,352135,358979,365932,372931,379808,387053,394218,401582,408938,416234,423946,431622,439368,447145,454828,462750,470605,478772,487104,495537,503864,512328,520921,529573,538380,547468
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1,1,1,1,2,4,7,8,10,11,13,15,17,20,21,23,24,25,26,28,28,29,30,37,40,42,49,55,58,66,72,78,86,93,99,106,109,116,124,132,143,146,150,162,173,183,199,214,230,242,255,273,286,306,326,343,361,379,396,419,433,451,477,498,525,554,584,609,643,669,702,736,767,806,844,881,919,954,1006,1052,1096,1130,1176,1226,1287,1350,1407,1470,1559,1639,1743,1840,1935,2030,2120,2201,2273,2357,2448,2528,2614,2710,2795,2882,2973,3059,3148,3242,3323,3420,3506,3590,3691,3771,3872,3995,4079,4181,4282,4400,4532,4644,4758,4894,5048,5185,5333,5505,5683,5845,5998,6169,6318,6464,6620,6797,6946,7129,7286,7453,7614,7798,7976,8137,8314,8495,8649,8810,8971,9145,9335,9514,9686,9856,10035,10229,10427,10590,10754,10937,11131,11330,11510,11699,11867,12091,12314,12531,12731,12938,13148,13367,13566,13772,13991,14239,14503,14736,14969,15235,15517,15796,16088,16419,16721,17014,17308,17601,17907,18239,18599,18986,19354,19717,20125,20519,20874,21317,21723,22140,22551,23035,23486,23937,24399,24920,25375,25884,26431,26930,27456,27994,28536,29076,29598,30129,30690,31278,31881,32498,33081,33680,34385,34978,35656,36308,36971,37664,38391,39036,39750,40499,41239,41986,42741,43556,44312,45146,45972,46778,47634,48528,49446,50335,51241,52181,53161,54122,55096,56033,57031,58051,59074,60078,61085,62150,63160,64202,65172,66147,67203,68301,69371,70469,71556,72665,73822,74996,76307,77544,78821,80148,81538,82974,84390,85889,87437,88941,90593,92194,93848,95527,97279,99033,100824,102655,104480,106302,108151,110117,112076,114006,115914,117956,119984,122053,124137,126311,128457,130643,132892,135085,137312,139579,141838,144168,146540,149030,151519,153999,156513,159078,161762,164448,167235,169977,172809,175731,178691,181665,184745,187871,191017,194158,197315,200511,203814,207357,210889,214411,218161,221841,225804,229816,233813,237959,242102,246264,250611,254934,259342,263814,268362,272883,277513,282288,287071,291857,296799,301708,306761,311804,317064,322257,327577,332890,338389,344016,349573,355279,361116,367011,373021,379144,385507,391870,398332,404842,411425,417945,424781,431567,438678,445839,453283,460685,468189,475759,483511,491369,499418,507650,515939,524372,533029,541794,550727,559649,568905,578148,587701,597408,607154,617246,627348,637789,648346,658820,669562,680454,691470,702659,714237,725837,737657,749655,761638,773701,786109,798663,811283,824293,837525,850625,863968,877575,891321,905209,919317,933510,947617,962171,976817,991394,1006104,1021067,1036216,1051610,1067075,1082625,1098579,1114620,1130437,1146541,1162775,1179114,1195939,1212584,1229482,1246171,1263334,1280565,1297902,1315470,1333199,1351211,1369163,1387216,1405519,1424032,1442544,1461166,1480136,1499256,1518166,1537728,1557060,1576716,1596395,1616641,1636727,1657224,1677640,1698105,1718656,1739513,1760562,1781617,1802229,1823113,1844030,1865178,1886335,1907565,1928934,1950373,1971942,1993468,2015218,2037104,2059081,2081282,2103784,2126080,2148476,2171079,2193722,2216461,2239486,2262425,2285494,2308340,2331404,2354320,2377643,2400884,2424417
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1,1,1,1,1,1,4,4,7,9,9,10,11,14,14,16,17,19,22,22,26,30,34,38,47,51,55,62,63,67,70,76,80,87,89,94,98,102,106,110,116,119,120,124,129,136,142,147,155,165,175,180,187,188,192,197,203,208,213,220,228,236,238,250,257,259,267,274,282,289,299,311,315,324,335,345,356,369,382,392,410,428,447,464,478,495,515,538,558,584,619,644,672,698,725,763,795,826,859,895,929,961,985,1017,1053,1081,1111,1152,1182,1213,1250,1285,1314,1343,1387,1419,1468,1506,1534,1577,1628,1670,1726,1780,1835,1889,1961,2035,2093,2144,2208,2279,2329,2399,2465,2556,2634,2702,2755,2820,2907,3005,3097,3183,3285,3383,3483,3601,3715,3830,3948,4093,4231,4355,4494,4642,4784,4921,5050,5200,5326,5483,5628,5813,5992,6162,6346,6542,6727,6939,7117,7331,7539,7746,7944,8178,8397,8639,8878,9120,9379,9614,9880,10144,10402,10654,10946,11214,11508,11769,12084,12364,12675,12969,13285,13600,13922,14243,14542,14882,15257,15604,15927,16266,16624,16961,17325,17736,18114,18489,18916,19288,19730,20138,20573,21050,21499,21970,22442,22967,23508,24019,24578,25108,25658,26286,26909,27508,28123,28787,29431,30084,30775,31487,32239,32984,33744,34543,35298,36105,36873,37671,38521,39342,40191,41045,41999,42976,44005,45007,46108,47144,48221,49312,50461,51734,52898,54123,55374,56643,57820,59075,60322,61588,62876,64170,65469,66739,68163,69521,70936,72448,73986,75410,76890,78457,80006,81640,83354,85130,86896,88744,90554,92574,94613,96765,98891,101056,103330,105611,107910,110234,112537,115038,117519,120058,122630,125328,127996,130678,133424,136262,139087,142033,144971,147969,151001,154011,157170,160340,163500,166660,169871,173195,176561,179859,183246,186681,190151,193764,197504,201200,205078,208883,212791,216582,220528,224611,228682,232839,236919,241031,245259,249541,253694,258042,262507,266949,271477,276110,280584,285376,290057,295020,299947,304951,309979,315262,320352,325669,331058,336368,342010,347584,353277,359358,365316,371369,377561,383867,390106,396417,402933,409640,416528,423536,430552,437694,444951,452513,460075,467661,475425,483466,491723,500040,508461,517053,525688,534591,543765,553063,562445,572005,581574,591385,601441,611585,621856,632456,642825,653467,664145,674846,685884,697213,708411,719676,731095,742760,754393,766337,778352,790472,802761,815183,827826,840624,853571,866672,879813,893076,906511,920286,934006,947903,961870,976084,990627,1005232,1020207,1035015,1050035,1065132,1080415,1095843,1111696,1127911,1144133,1160332,1176861,1193421,1210273,1226995,1244123,1261365,1278833,1296468,1314374,1332371,1350480,1368470,1386954,1405589,1424209,1443098,1462271,1481373,1500855,1520647,1540364,1560260,1580427,1600861,1621390,1642059,1662910,1684116,1705423,1726711,1748338,1770140,1791742,1813784,1835670,1857952,1880113,1902583,1925299,1947751,1970402,1993197,2015983,2038799,2061734,2084823,2107923,2130981,2154580,2178045,2201625,2225289,2248827,2272327,2296018,2319946,2343970,2368094,2392185,2416544,2440774,2465295,2489731,2514111,2538555,2563480,2588174
1,1,1,1,2,3,3,3,3,4,6,7,10,14,16,17,20,23,24,25,31,32,35,37,41,46,47,53,57,60,62,64,67,72,77,81,86,89,90,97,102,106,115,123,132,136,147,155,166,175,184,197,207,223,239,256,276,297,316,344,371,400,427,454,484,520,551,582,618,649,674,716,752,786,823,858,898,932,952,983,1021,1061,1085,1110,1143,1170,1195,1227,1257,1287,1318,1343,1370,1391,1409,1434,1460,1495,1533,1562,1592,1612,1634,1656,1669,1698,1732,1755,1787,1825,1853,1880,1902,1944,1966,1989,2008,2034,2064,2096,2114,2133,2153,2179,2206,2235,2259,2275,2295,2318,2340,2373,2399,2418,2445,2469,2506,2535,2567,2603,2646,2683,2722,2767,2832,2888,2949,3011,3071,3138,3216,3279,3352,3431,3502,3577,3656,3732,3822,3903,3982,4055,4151,4242,4338,4437,4537,4636,4725,4829,4940,5036,5147,5242,5344,5458,5555,5649,5741,5846,5963,6058,6160,6259,6369,6464,6563,6682,6803,6915,7027,7127,7256,7378,7492,7625,7748,7871,8014,8142,8276,8435,8582,8728,8872,9029,9190,9321,9483,9635,9822,10002,10194,10406,10611,10811,11038,11270,11488,11750,12040,12333,12598,12853,13142,13434,13745,14051,14324,14605,14894,15176,15466,15732,16038,16317,16619,16933,17232,17524,17814,18128,18412,18741,19040,19341,19663,19992,20344,20690,21031,21391,21728,22116,22514,22899,23307,23737,24171,24644,25075,25554,26070,26551,27083,27626,28132,28647,29156,29692,30188,30722,31253,31787,32321,32894,33460,34037,34615,35221,35840,36482,37110,37816,38492,39162,39874,40580,41253,41957,42656,43358,44088,44799,45461,46200,46992,47735,48504,49236,50049,50810,51658,52490,53378,54270,55225,56133,57095,58049,59040,60068,61077,62171,63173,64274,65405,66561,67735,69008,70258,71506,72828,74152,75497,76885,78249,79749,81228,82682,84151,85704,87183,88666,90237,91832,93434,94974,96678,98378,100007,101683,103459,105259,107077,108805,110597,112379,114353,116292,118286,120357,122418,124592,126771,128928,131261,133604,136090,138542,141078,143580,146140,148786,151491,154341,157262,160226,163157,166177,169146,172277,175477,178746,182103,185436,188920,192468,196027,199767,203536,207348,211170,215062,219088,223177,227341,231612,235889,240269,244779,249207,253739,258347,263101,267805,272781,277663,282619,287644,292755,297819,303108,308333,313508,318809,324054,329597,335031,340374,345930,351649,357385,363162,369130,375027,380993,387031,393297,399554,405934,412421,419029,425545,432358,439191,446126,453338,460440,467677,475123,482735,490427,498102,506124,514192,522453,530838,539125,547875,556802,565662,574833,584032,593439,603028,612609,622605,632775,643067,653646,664263,674947,685744,696804,707883,719110,730377,742084,753857,765586,777611,789944,802277,815139,828219,841296,854525,868016,881528,895479,909424,923437,937692,952294,967053,981830,996629,1011562,1026752,1041996,1057238,1072609,1088192,1103733,1119504,1135407,1151332,1167581,1183988,1200492,1217040,1233811,1250537,1267613,1284659,1301953
1,1,3,4,5,6,7,9,10,11,11,11,13,15,15,15,17,19,19,19,19,19,19,19,19,20,23,25,26,28,30,34,37,41,42,43,47,47,48,49,53,54,56,58,61,63,67,72,73,74,76,77,83,86,91,92,97,102,106,109,113,117,119,123,126,136,137,139,141,145,152,156,158,159,161,164,168,172,173,175,179,185,190,192,193,196,199,207,212,220,227,234,239,243,247,252,255,259,265,269,271,275,279,283,287,290,291,300,304,307,310,312,315,319,322,322,327,330,334,335,340,342,347,352,358,361,364,368,373,378,381,392,396,401,405,407,412,416,429,433,437,441,450,455,464,470,479,491,503,522,539,547,564,580,596,616,638,658,682,702,716,734,755,779,795,812,835,851,870,896,914,940,963,981,1003,1028,1045,1070,1089,1109,1132,1155,1177,1191,1212,1235,1256,1277,1301,1319,1337,1357,1381,1400,1418,1434,1455,1479,1507,1525,1551,1567,1599,1625,1653,1684,1709,1728,1755,1778,1805,1826,1846,1870,1889,1914,1934,1955,1988,2017,2037,2065,2094,2115,2142,2165,2192,2224,2238,2253,2282,2314,2338,2362,2389,2407,2429,2459,2497,2522,2564,2604,2647,2682,2710,2748,2787,2833,2868,2919,2958,3010,3056,3109,3149,3202,3246,3303,3352,3390,3446,3505,3570,3612,3668,3723,3775,3836,3888,3952,4012,4065,4135,4211,4270,4348,4419,4501,4560,4624,4700,4778,4856,4942,5034,5119,5214,5296,5388,5482,5595,5683,5799,5928,6044,6151,6284,6410,6521,6687,6814,6957,7077,7201,7341,7478,7608,7747,7885,8028,8158,8309,8489,8646,8759,8905,9084,9238,9435,9633,9831,10012,10235,10452,10664,10883,11130,11404,11678,11968,12239,12532,12831,13101,13375,13669,13998,14288,14586,14868,15173,15480,15843,16154,16522,16906,17290,17716,18120,18542,18999,19390,19808,20234,20678,21130,21564,21989,22419,22856,23287,23674,24134,24531,24963,25438,25905,26324,26740,27161,27627,28075,28565,29030,29568,30070,30631,31185,31761,32392,32991,33556,34167,34829,35491,36175,36803,37450,38104,38761,39486,40201,40866,41551,42276,43061,43748,44503,45273,46078,46871,47617,48447,49271,50058,50883,51757,52649,53569,54536,55545,56505,57522,58592,59644,60754,61874,62986,64201,65414,66696,67992,69325,70718,72128,73531,75026,76470,78006,79534,81009,82530,84036,85594,87093,88743,90421,92090,93817,95395,97124,98870,100619,102366,104136,106003,107842,109716,111553,113432,115318,117225,119054,120928,122949,125007,127057,129120,131162,133300,135475,137752,139984,142376,144732,147119,149502,151938,154454,156944,159557,162235,164920,167601,170330,173135,176031,178931,181961,185014,188046,191056,194303,197485,200771,204045,207296,210649,214140,217596,221176,224762,228384,232046,235719,239535,243497
1,1,1,2,2,2,3,4,4,5,8,10,13,14,15,16,17,20,22,25,27,31,32,32,34,36,42,46,52,53,56,60,62,69,72,73,77,82,84,90,91,94,95,95,99,101,103,105,107,111,113,114,116,118,121,124,126,127,128,129,131,134,136,136,138,141,144,145,145,149,151,155,157,157,157,161,166,168,172,175,178,179,184,187,187,188,189,192,195,199,203,206,211,218,224,230,239,245,248,258,262,271,281,290,297,305,311,316,323,330,339,352,367,380,392,396,405,425,443,455,466,487,497,511,525,544,566,584,601,623,647,661,675,696,734,761,795,826,875,907,957,999,1034,1074,1123,1173,1229,1280,1326,1390,1442,1501,1555,1602,1656,1721,1784,1854,1919,1990,2060,2129,2188,2252,2319,2391,2471,2556,2637,2719,2793,2883,2972,3063,3156,3260,3372,3490,3596,3721,3842,3980,4113,4259,4431,4618,4805,4984,5163,5348,5554,5765,5972,6177,6408,6641,6859,7104,7346,7598,7856,8137,8427,8736,9048,9362,9690,10000,10332,10636,11000,11335,11717,12073,12443,12842,13230,13619,14014,14429,14853,15289,15679,16141,16555,16996,17473,17930,18389,18891,19415,19936,20480,21037,21606,22153,22729,23315,23905,24526,25154,25783,26411,27011,27660,28300,28982,29651,30287,30978,31680,32366,33034,33721,34459,35162,35810,36507,37187,37914,38644,39415,40137,40899,41672,42462,43263,44019,44791,45590,46367,47168,47941,48745,49585,50466,51304,52183,53120,54031,54916,55842,56759,57739,58771,59785,60800,61782,62816,63875,64909,65981,67144,68188,69313,70495,71737,72964,74197,75453,76796,78163,79463,80903,82348,83790,85313,86792,88357,89854,91505,93137,94858,96567,98391,100108,101904,103736,105534,107495,109437,111334,113308,115308,117405,119584,121766,123959,126235,128564,130870,133265,135701,138040,140475,142970,145363,147918,150371,152929,155470,158089,160695,163300,166024,168707,171457,174241,177036,179825,182733,185624,188514,191451,194571,197638,200802,204002,207233,210588,213979,217333,220786,224267,227932,231584,235175,239016,242874,246796,250803,254822,258950,263282,267727,271997,276560,281130,285849,290522,295373,300426,305509,310691,316033,321444,326856,332438,338081,343881,349646,355534,361576,367636,373758,380186,386504,392890,399455,405995,412935,419871,427024,434298,441727,449328,456915,464713,472596,480728,488913,497068,505407,513941,522634,531579,540677,549737,559016,568300,577917,587726,597588,607768,618052,628432,639037,649576,660383,671318,682415,693731,705183,716713,728575,740452,752733,765070,777537,790065,802931,815595,828867,842036,855274,868551,881900,895511,909300,923301,937306,951498,966011,980340,994951,1009785,1024666,1039814,1055157,1070713,1086285,1102019,1117908,1134013,1150204,1166792,1183236,1200046,1216713,1233492,1250541,1267684,1284962,1302302,1319812,1337709,1355637,1373503,1391578,1409879,1428056,1446472,1465042,1483813,1502621,1521810,1540881,1560311,1579698,1599476,1619196,1639105,1659366,1679419,1699819,1720356,1741145
1,1,1,1,2,3,4,5,5,9,9,9,9,11,11,12,14,15,16,19,22,25,28,36,39,41,42,45,46,50,51,53,57,63,66,71,73,79,83,87,90,94,96,98,102,104,107,112,116,124,127,139,146,151,156,162,166,175,186,203,221,230,238,247,254,266,276,285,294,303,321,332,342,348,361,374,382,385,399,410,421,434,442,454,467,478,488,502,510,525,532,545,565,596,618,638,667,695,724,758,786,807,834,861,891,922,946,980,1006,1035,1066,1100,1127,1163,1191,1216,1238,1268,1299,1331,1355,1391,1413,1445,1475,1508,1543,1583,1631,1683,1726,1781,1830,1899,1951,2024,2102,2187,2277,2368,2472,2573,2688,2808,2920,3039,3154,3291,3408,3566,3710,3827,3985,4139,4283,4450,4606,4776,4959,5127,5292,5480,5636,5828,6019,6228,6443,6645,6863,7072,7296,7545,7813,8077,8355,8660,8956,9282,9588,9867,10197,10534,10894,11241,11595,11937,12316,12638,13006,13405,13799,14174,14560,14959,15352,15732,16132,16558,17029,17492,17936,18406,18883,19388,19897,20443,20986,21579,22108,22616,23179,23770,24366,24960,25535,26175,26831,27478,28102,28801,29468,30174,30853,31617,32347,33088,33826,34531,35269,36040,36847,37596,38346,39087,39841,40601,41367,42167,42967,43722,44502,45330,46200,47062,47972,48771,49618,50510,51462,52342,53258,54161,55033,55957,56945,57951,58920,59894,60869,61854,62883,63855,64881,65958,67077,68119,69175,70314,71463,72579,73721,74820,75962,77220,78445,79630,80855,82084,83378,84683,85980,87283,88687,89988,91401,92792,94213,95672,97140,98636,100213,101869,103558,105323,107115,109031,110909,112763,114827,116710,118725,120788,122925,124970,127138,129288,131462,133727,136002,138317,140703,143049,145438,147844,150237,152837,155324,157864,160498,163141,165898,168566,171269,174051,176717,179544,182561,185556,188593,191629,194774,198005,201192,204446,207819,211173,214682,218252,221784,225388,229055,232875,236726,240501,244360,248416,252651,256852,261283,265600,269977,274562,279150,283945,288701,293580,298636,303788,308932,314056,319454,324915,330425,336131,341851,347700,353829,359865,366010,372237,378627,385054,391702,398610,405459,412455,419431,426479,433822,441216,448818,456652,464541,472513,480601,488685,496978,505414,514032,522777,531619,540532,549411,558669,567904,577093,586326,595910,605703,615619,625593,635596,645739,656001,666420,676863,687549,698344,709460,720740,732092,743760,755662,767794,780160,792455,804887,817300,830084,843038,856156,869452,882813,896455,910261,924485,938640,953150,967957,982879,997868,1012982,1028425,1043984,1059836,1075812,1091983,1108211,1124458,1140796,1157226,1173891,1190662,1207524,1224418,1241548,1258383,1275415,1292764,1309804,1327283,1344899,1362526,1380472,1398611,1416724,1434955,1453395,1472108,1491158,1510010,1528996,1548238,1567551,1587330,1607136,1626960,1647010,1667191,1687455,1707855,1728460,1749362,1770443,1791452,1812404,1833729,1855114,1876382,1898156,1919813,1941612,1963508,1985866,2008093,2030636,2052839,2074986,2097496,2120218,2143076,2165958,2189225,2212494,2235664,2258767,2282005
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1,1,1,1,1,1,1,1,3,5,7,8,8,8,9,12,13,15,17,21,22,25,28,31,38,44,50,55,59,68,71,77,83,88,91,97,104,108,114,118,124,133,139,145,151,155,162,169,172,174,177,185,191,196,198,203,214,217,226,234,241,249,252,259,273,276,286,293,296,313,321,334,342,355,366,375,393,408,427,444,473,488,500,515,535,562,586,607,629,648,669,684,704,720,736,748,769,787,811,836,853,872,890,906,919,942,955,975,994,1032,1062,1083,1108,1130,1165,1201,1231,1258,1286,1309,1326,1353,1379,1420,1446,1476,1504,1530,1553,1586,1618,1658,1686,1719,1751,1782,1814,1845,1874,1905,1950,1978,2025,2064,2089,2140,2189,2229,2265,2303,2336,2370,2408,2451,2490,2531,2571,2612,2652,2692,2729,2774,2802,2841,2888,2932,2974,3024,3061,3095,3135,3165,3201,3236,3275,3318,3352,3391,3429,3472,3515,3565,3619,3651,3702,3743,3793,3850,3902,3956,4016,4079,4135,4198,4258,4332,4404,4479,4563,4627,4697,4762,4849,4952,5023,5109,5194,5267,5350,5439,5510,5601,5659,5731,5802,5865,5932,6001,6073,6151,6228,6317,6416,6527,6632,6718,6804,6910,7032,7134,7241,7366,7508,7675,7829,7986,8160,8317,8466,8633,8785,8959,9090,9238,9392,9539,9709,9868,10019,10177,10364,10551,10745,10941,11124,11335,11582,11814,12065,12328,12572,12853,13143,13429,13711,14005,14319,14628,14930,15254,15561,15888,16215,16517,16821,17132,17468,17816,18164,18515,18888,19267,19632,20045,20448,20827,21236,21597,21966,22373,22777,23219,23618,24039,24405,24816,25214,25624,26002,26398,26812,27229,27621,28011,28417,28858,29268,29717,30149,30609,31070,31572,32068,32554,33096,33687,34304,34882,35494,36141,36822,37552,38318,39027,39781,40601,41401,42241,43056,43925,44825,45693,46526,47384,48237,49164,50069,50911,51760,52681,53611,54657,55660,56657,57648,58621,59626,60695,61738,62855,64019,65154,66301,67499,68738,70002,71253,72481,73800,75093,76365,77671,78917,80295,81615,82984,84406,85735,87126,88611,89984,91442,92890,94457,96000,97670,99350,101042,102726,104476,106236,108083,109920,111898,113908,115929,117949,119907,121974,124025,126230,128460,130688,133056,135496,137812,140235,142694,145281,147823,150480,153211,156008,158854,161729,164766,167642,170609,173641,176742,179974,183241,186564,189883,193337,196823,200150,203659,207201,210889,214374,218189,221963,225754,229717,233712,237702,241751,245895,250054,254112,258325,262543,266892,271324,275774,280295,284747,289337,294110,298821,303623,308436,313518,318596,323810,329115,334359,339766,345304,350879,356769,362492,368292,374388,380413,386539,393016,399430,406018,412583,419399,426218,433266,440524,447827,455355,462962,470678,478310,486163,494004,502008,509923,518195,526631,535048,543690,552268,560865,569520,578584,587672,596844,605932,615345,624766,634496,644431,654325,664225,674358,684715,694955,705413,716021,726549
1,1,1,1,1,2,3,3,4,6,8,9,10,11,13,15,17,20,21,26,27,30,33,35,37,41,43,47,52,55,59,64,69,75,83,89,94,99,103,111,112,114,116,124,127,133,141,148,154,160,166,174,180,187,195,204,214,229,239,248,262,278,293,311,325,341,359,375,389,401,414,431,453,470,490,511,545,567,590,607,640,661,681,697,716,737,758,783,808,824,846,866,890,903,922,940,964,979,994,1006,1031,1057,1085,1107,1129,1159,1178,1197,1225,1246,1266,1286,1308,1339,1365,1389,1420,1456,1492,1532,1564,1591,1632,1669,1703,1734,1775,1820,1869,1908,1960,2015,2054,2115,2189,2251,2301,2361,2427,2479,2549,2609,2676,2745,2812,2885,2966,3048,3135,3232,3321,3405,3513,3615,3715,3838,3945,4079,4206,4364,4467,4588,4725,4885,5012,5148,5260,5371,5507,5620,5785,5910,6038,6176,6334,6484,6644,6801,6949,7105,7268,7456,7642,7833,8031,8231,8453,8663,8868,9075,9291,9469,9695,9930,10161,10414,10642,10878,11105,11356,11623,11913,12201,12471,12783,13084,13399,13718,14050,14361,14698,15051,15456,15859,16307,16788,17305,17828,18372,18928,19504,20061,20731,21390,22043,22746,23435,24095,24814,25511,26251,26991,27757,28513,29249,30030,30840,31628,32395,33198,33966,34752,35549,36411,37279,38134,38945,39869,40729,41645,42598,43559,44498,45440,46458,47393,48425,49421,50406,51428,52485,53547,54578,55675,56774,57946,59180,60344,61574,62779,64051,65370,66691,68063,69472,70909,72325,73823,75287,76790,78319,79875,81571,83214,84873,86686,88428,90161,91909,93771,95663,97562,99455,101365,103256,105311,107323,109395,111485,113574,115814,118068,120398,122649,124974,127405,129827,132364,134968,137622,140297,142999,145703,148564,151395,154330,157324,160243,163312,166475,169575,172838,176124,179574,183089,186774,190503,194171,197988,201887,205789,209938,213982,218008,222033,226174,230330,234655,239083,243512,248009,252717,257415,262037,266818,271591,276351,281281,286438,291811,297113,302492,307982,313448,319147,324808,330503,336452,342462,348217,354307,360443,366620,373064,379572,386083,392873,399559,406322,413262,420049,427130,434199,441396,448624,456169,463644,471156,478644,486483,494249,502019,510117,518422,526827,535148,543620,552306,561143,570029,579058,588198,597580,607161,616962,626712,636675,646715,656935,667323,677921,688599,699358,710195,721079,731956,743028,754339,765752,777171,788727,800404,812121,824051,835912,847817,860046,872519,885081,897720,910630,923478,936489,949731,963141,976785,990549,1004322,1018075,1032005,1046074,1060629,1075304,1090144,1104922,1119865,1135184,1150669,1166359,1181863,1197598,1213704,1230234,1246789,1263668,1280612,1297797,1314882,1332268,1349696,1367012,1384622,1402541,1420664,1438927,1457333,1475724,1494276,1512883,1531695,1550676,1569699,1589091,1608246,1627725,1647480,1667297,1687398,1707732,1728117,1748930,1769729,1790537,1811662,1833085,1854214,1875385,1896845,1918514,1940123,1961938,1983883,2006101,2028309,2050690,2073116,2095593,2117990,2140846,2163887,2186851,2209875,2233151,2256397,2279884,2303391,2327002
1,1,1,3,5,7,7,12,13,13,15,16,16,19,20,22,24,30,34,40,46,52,57,61,66,70,77,82,89,97,101,106,110,116,131,141,148,156,166,174,183,195,212,224,231,244,257,271,287,304,323,337,353,369,386,408,447,476,525,566,604,646,696,733,778,824,857,897,946,990,1029,1067,1109,1148,1192,1236,1281,1316,1361,1425,1471,1526,1584,1640,1699,1754,1802,1843,1899,1946,2004,2045,2098,2154,2203,2251,2296,2349,2407,2456,2502,2556,2601,2640,2696,2749,2800,2847,2904,2963,3027,3086,3157,3219,3277,3342,3394,3443,3496,3571,3637,3701,3775,3869,3927,4003,4087,4165,4255,4328,4400,4495,4577,4658,4740,4831,4916,4986,5069,5151,5222,5292,5357,5438,5498,5570,5651,5739,5831,5909,6007,6067,6146,6223,6321,6409,6481,6546,6633,6725,6813,6896,6990,7069,7165,7249,7335,7426,7511,7596,7704,7810,7913,8022,8120,8215,8333,8460,8582,8705,8845,8967,9088,9234,9366,9510,9663,9813,9949,10090,10233,10416,10594,10744,10905,11082,11233,11384,11570,11738,11878,12059,12228,12429,12638,12859,13084,13297,13564,13793,14039,14283,14533,14765,15021,15258,15495,15741,15948,16168,16394,16638,16887,17109,17349,17597,17852,18097,18364,18625,18916,19213,19537,19880,20279,20666,21088,21579,22025,22472,22947,23409,23889,24385,24910,25407,25950,26462,26979,27546,28115,28686,29264,29801,30395,31020,31625,32179,32797,33461,34058,34676,35311,35994,36750,37496,38225,39000,39748,40551,41327,42119,42881,43687,44493,45218,46022,46829,47587,48428,49319,50098,50949,51758,52650,53572,54503,55445,56342,57356,58312,59246,60139,61080,62130,63129,64155,65170,66241,67291,68386,69473,70573,71665,72675,73824,75014,76213,77397,78573,79800,81044,82368,83773,85181,86568,87948,89376,90890,92529,94142,95851,97645,99409,101197,103035,105013,107047,109033,111013,113057,115134,117227,119488,121696,123913,126191,128484,130735,133161,135514,137857,140290,142724,145230,147631,150128,152670,155190,157682,160187,162720,165343,167929,170577,173202,175948,178831,181786,184746,187729,190781,193897,197061,200261,203622,206979,210508,214004,217560,221232,224881,228589,232401,236297,240118,243925,247918,251979,256123,260490,265033,269367,273827,278359,283077,287662,292602,297579,302638,307734,312967,318303,323516,328897,334332,339914,345492,351215,357051,363055,369177,375356,381600,388199,394836,401575,408341,415360,422416,429735,436998,444411,451857,459415,467101,475154,483128,491261,499501,507786,516098,524766,533500,542321,551380,560554,569812,579095,588518,597947,607641,617369,627281,637408,647630,658127,668791,679574,690567,701509,712609,723967,735457,747121,759101,771035,783201,795597,808309,821258,834219,847516,860696,874315,887917,901726,915693,929967,944306,958599,973227,988209,1003125,1018193,1033783,1048941,1064328,1079979,1095434,1111386,1127203,1143212,1159214,1175502,1191833,1208386,1224978,1241941,1258890,1275917,1293150,1310549,1327929,1345524,1363155,1380977,1399095,1417304,1435716,1454438,1473171,1491855,1510860,1529861,1549259,1568805
1,1,1,1,2,3,4,7,7,7,8,8,8,10,10,11,11,11,11,12,12,12,13,15,15,16,16,16,19,21,22,24,25,29,31,34,34,36,37,39,39,42,42,46,50,56,58,65,69,71,76,80,87,95,103,110,114,119,129,133,142,150,164,169,173,176,180,190,202,206,212,222,237,243,250,260,266,272,281,289,302,316,325,331,345,357,370,381,391,396,411,419,430,441,446,453,472,486,499,504,516,531,542,550,560,569,575,588,601,614,626,636,651,664,674,684,692,702,713,725,738,750,759,783,804,835,857,878,899,915,948,969,998,1014,1029,1050,1068,1092,1112,1139,1159,1181,1204,1223,1238,1261,1286,1308,1331,1358,1386,1407,1442,1481,1515,1536,1568,1605,1638,1665,1693,1722,1747,1779,1808,1836,1852,1891,1915,1949,1971,2001,2026,2049,2076,2102,2124,2144,2163,2186,2207,2228,2262,2283,2300,2321,2338,2357,2375,2392,2406,2426,2442,2465,2481,2493,2511,2533,2553,2579,2602,2616,2632,2648,2663,2674,2696,2711,2727,2741,2757,2782,2793,2812,2828,2847,2869,2886,2904,2921,2941,2967,2986,3000,3024,3045,3071,3084,3108,3130,3150,3167,3197,3230,3267,3295,3324,3353,3390,3428,3462,3493,3529,3568,3607,3648,3677,3719,3765,3821,3867,3909,3951,4011,4058,4118,4158,4210,4264,4328,4394,4444,4503,4564,4618,4684,4745,4793,4843,4888,4946,5004,5073,5133,5168,5221,5290,5337,5399,5454,5500,5560,5605,5645,5684,5729,5771,5831,5881,5929,5983,6032,6078,6120,6167,6211,6246,6293,6330,6373,6413,6450,6485,6536,6580,6626,6675,6716,6769,6817,6863,6912,6965,7027,7083,7147,7210,7262,7326,7379,7429,7490,7570,7642,7713,7779,7842,7918,7999,8094,8174,8258,8354,8431,8491,8571,8634,8718,8800,8893,8975,9060,9131,9209,9294,9362,9441,9520,9607,9685,9759,9834,9924,9995,10083,10157,10249,10341,10411,10494,10568,10648,10725,10808,10870,10950,11034,11127,11226,11295,11379,11492,11597,11701,11816,11930,12040,12127,12233,12362,12472,12606,12762,12912,13052,13175,13321,13476,13636,13770,13952,14133,14308,14486,14682,14894,15106,15339,15536,15740,15968,16194,16436,16695,16962,17222,17476,17736,17996,18307,18589,18852,19179,19527,19875,20220,20558,20931,21296,21690,22091,22491,22928,23360,23789,24278,24748,25275,25806,26360,26859,27385,27953,28475,29082,29715,30303,30874,31517,32168,32820,33450,34110,34847,35628,36383,37176,37989,38798,39643,40506,41439,42420,43389,44405,45442,46531,47578,48646,49768,50845,51914,53031,54200,55321,56499,57703,58922,60135,61436,62730,63983,65327,66652,67945,69350,70850,72363,73842,75339,76906,78520,80266,81995,83694,85557,87484,89349,91281,93222,95157,97096,99132,101179,103318,105407,107571
1,1,1,2,3,4,7,7,8,8,8,10,11,12,13,13,14,18,19,22,22,23,26,31,37,42,49,50,54,59,67,76,92,102,119,140,162,185,209,237,257,290,309,332,356,379,400,425,453,481,508,543,570,598,639,660,691,726,765,796,842,886,921,974,1025,1084,1146,1202,1263,1351,1423,1489,1558,1636,1710,1781,1840,1915,1993,2055,2138,2205,2272,2341,2407,2475,2536,2583,2640,2704,2757,2811,2864,2905,2953,3002,3059,3110,3157,3213,3248,3287,3326,3375,3433,3475,3510,3547,3589,3648,3687,3729,3774,3807,3845,3891,3944,3983,4026,4077,4119,4157,4209,4255,4305,4352,4403,4462,4509,4580,4630,4689,4735,4785,4816,4873,4909,4951,4990,5056,5098,5146,5197,5253,5303,5346,5399,5461,5511,5557,5610,5649,5704,5761,5807,5851,5902,5955,6007,6076,6135,6206,6286,6346,6416,6488,6572,6653,6756,6861,6945,7044,7136,7224,7324,7418,7554,7679,7830,7995,8137,8262,8428,8605,8778,8939,9124,9274,9447,9641,9818,10005,10172,10373,10560,10766,10983,11215,11428,11678,11924,12179,12478,12758,13019,13305,13618,13937,14257,14539,14866,15205,15539,15844,16173,16517,16842,17182,17533,17873,18239,18550,18897,19213,19560,19902,20215,20566,20889,21258,21610,21955,22320,22666,23013,23389,23799,24177,24581,24986,25407,25806,26250,26713,27149,27563,28031,28456,28883,29319,29791,30244,30703,31138,31563,31999,32417,32867,33341,33809,34232,34697,35211,35699,36190,36694,37222,37742,38228,38757,39279,39786,40354,40949,41489,42085,42697,43279,43856,44508,45097,45772,46466,47258,47990,48736,49529,50303,51114,51944,52807,53628,54465,55355,56225,57163,58072,58972,59951,60939,61951,62970,64000,65095,66175,67275,68414,69539,70686,71903,73249,74605,75949,77373,78792,80203,81676,83219,84787,86343,87985,89652,91333,93061,94836,96648,98511,100346,102216,104132,106069,108126,110198,112303,114392,116546,118821,121117,123417,125664,128057,130521,133087,135617,138217,140887,143559,146413,149360,152340,155403,158375,161363,164336,167572,170861,174153,177566,181133,184743,188524,192288,196103,200054,203957,208131,212156,216424,220672,224976,229480,233925,238442,243019,247751,252511,257165,261934,266807,271783,276703,281830,286980,292284,297753,303271,308867,314553,320285,326194,332089,338232,344407,350755,357260,363836,370345,377060,384042,391013,397975,405243,412698,420079,427559,435230,443024,450773,458653,466728,475037,483622,492068,500834,509629,518377,527452,536567,545879,555325,565065,574985,584800,594711,605032,615077,625346,635728,646224,656808,667660,678582,689610,700846,712166,723580,735131,746894,758817,770916,783202,795783,807935,820392,833063,845994,859014,872413,885717,899128,912787,926631,940369,954647,968788,983129,997882,1012897,1028183,1043399,1058912,1074526,1090439,1106494,1122653,1139240,1155840,1172634,1189336,1206455,1223332,1240652,1258028,1275321,1292930,1310562,1328620,1346577,1364615,1382824,1401075,1419514,1437671,1456539,1475332,1494119,1513373,1532334,1551575,1570747,1590412,1610142,1630086,1650325,1670896,1691564,1712154
1,1,1,1,1,3,4,5,7,7,8,9,10,13,13,13,14,14,16,19,28,35,41,47,52,61,66,68,72,74,76,79,83,87,92,98,104,112,116,119,124,134,142,147,156,165,175,182,188,201,216,226,232,238,254,264,272,281,286,298,311,323,336,352,363,372,384,394,407,416,429,443,456,469,485,496,512,519,530,540,554,570,588,606,624,652,672,697,723,744,772,800,832,865,891,923,953,984,1015,1048,1079,1120,1149,1176,1213,1245,1267,1306,1343,1367,1392,1422,1447,1478,1495,1526,1551,1581,1625,1643,1667,1688,1706,1733,1754,1771,1788,1809,1824,1848,1871,1894,1919,1949,1973,1992,2018,2048,2068,2096,2129,2147,2169,2200,2232,2264,2292,2316,2347,2377,2410,2438,2473,2503,2538,2579,2609,2636,2665,2702,2731,2761,2786,2804,2833,2864,2892,2921,2942,2971,2996,3016,3043,3072,3095,3133,3155,3187,3210,3232,3253,3283,3310,3345,3371,3394,3415,3440,3461,3482,3513,3530,3547,3567,3591,3614,3630,3640,3654,3668,3683,3696,3714,3731,3743,3762,3779,3791,3803,3816,3826,3839,3859,3877,3895,3904,3914,3931,3943,3964,3981,3998,4014,4032,4052,4077,4098,4108,4128,4146,4163,4187,4207,4219,4236,4251,4264,4281,4309,4333,4344,4366,4385,4403,4427,4446,4465,4488,4500,4515,4537,4555,4576,4593,4612,4626,4649,4677,4694,4711,4732,4760,4778,4799,4817,4842,4860,4879,4904,4920,4940,4957,4975,4999,5017,5037,5058,5074,5097,5116,5142,5160,5175,5204,5225,5251,5271,5291,5320,5341,5362,5380,5401,5421,5455,5478,5509,5526,5551,5575,5601,5628,5651,5682,5705,5738,5768,5800,5823,5863,5891,5923,5947,5974,6002,6027,6052,6072,6106,6122,6154,6173,6200,6218,6240,6257,6275,6299,6323,6333,6354,6373,6403,6436,6478,6506,6545,6593,6642,6717,6795,6869,6949,7063,7191,7338,7455,7589,7705,7816,7958,8089,8226,8347,8487,8606,8736,8870,9033,9180,9344,9525,9702,9897,10103,10282,10479,10684,10879,11083,11281,11462,11624,11790,11973,12130,12300,12441,12616,12781,12936,13060,13214,13346,13498,13640,13784,13925,14055,14227,14360,14490,14645,14779,14905,15041,15168,15309,15451,15574,15722,15852,16000,16136,16283,16410,16557,16707,16829,16972,17109,17258,17399,17549,17744,17909,18065,18224,18397,18595,18790,18980,19166,19353,19544,19764,19985,20239,20464,20699,20944,21186,21462,21740,22035,22337,22643,22952,23260,23639,23984,24374,24756,25119,25466,25814,26177,26542,26937,27338,27724,28121,28531,28971,29362,29781,30203,30656,31107,31580,32030,32512,32987,33504,34038,34598,35100,35674,36207,36809,37410,38049,38717,39381,40047,40785,41483,42186,42900,43586,44259,44991,45714,46465,47205,47924,48617,49335,50077,50856,51656,52487,53254,54081,54939,55794,56638
1,1,1,1,2,4,5,5,5,6,10,11,12,12,13,16,21,23,25,28,35,41,44,46,50,57,60,65,70,74,84,89,95,98,104,114,121,128,137,147,154,168,177,182,190,194,200,207,220,235,251,261,276,294,312,328,347,359,365,386,399,423,450,475,510,536,554,583,607,637,669,698,730,759,787,818,849,886,923,940,968,993,1016,1045,1073,1095,1113,1138,1158,1188,1203,1219,1245,1263,1284,1311,1332,1349,1371,1396,1411,1423,1442,1467,1483,1501,1524,1542,1566,1592,1618,1651,1676,1700,1724,1746,1788,1822,1865,1915,1957,1995,2049,2098,2152,2210,2261,2330,2391,2437,2489,2543,2606,2668,2753,2824,2893,2977,3083,3182,3286,3383,3517,3620,3716,3833,3950,4058,4174,4291,4404,4508,4617,4719,4802,4917,5029,5142,5252,5366,5462,5580,5666,5760,5865,5986,6108,6242,6379,6516,6671,6820,6961,7119,7269,7423,7600,7757,7907,8071,8260,8405,8562,8722,8899,9043,9191,9337,9488,9639,9813,9958,10098,10261,10393,10540,10695,10855,11003,11153,11290,11449,11599,11736,11881,12038,12207,12382,12583,12743,12915,13108,13306,13480,13698,13888,14072,14264,14434,14659,14869,15081,15298,15500,15707,15932,16150,16389,16627,16859,17087,17317,17547,17774,18025,18248,18476,18712,18953,19185,19435,19697,19967,20211,20478,20743,21036,21360,21653,21943,22230,22556,22842,23149,23408,23743,24049,24396,24761,25157,25504,25861,26207,26574,26958,27356,27724,28122,28525,28946,29365,29804,30244,30705,31133,31618,32127,32641,33191,33712,34306,34931,35542,36155,36767,37413,38039,38711,39390,40056,40754,41478,42234,42998,43817,44622,45452,46284,47176,48177,49154,50088,51100,52185,53315,54481,55582,56770,57960,59167,60362,61602,62900,64255,65518,66808,68036,69362,70699,72021,73404,74791,76146,77605,79034,80488,81992,83424,84943,86461,88032,89713,91465,93210,95020,96908,98785,100645,102681,104723,106809,108914,111028,113217,115499,117796,120109,122407,124818,127241,129671,132148,134608,137193,139798,142417,145029,147820,150506,153282,156086,159015,161958,164976,168043,171174,174384,177803,181088,184620,188139,191694,195318,199081,202887,206750,210582,214539,218433,222532,226643,230699,235032,239365,243827,248481,253126,257905,262734,267641,272456,277567,282771,287936,293258,298796,304282,309924,315632,321507,327466,333519,339838,346195,352736,359292,366152,373072,380057,387120,394274,401774,409286,416982,424656,432545,440416,448443,456615,464877,473168,481523,490044,498599,507458,516222,525295,534348,543409,552789,562225,571527,581235,591059,600821,610941,621231,631646,642013,652456,663050,673758,684818,695968,707238,718605,730222,741919,753792,765828,777989,790241,802854,815559,828470,841636,854825,868104,881594,894895,908528,922327,936220,950309,964665,979063,993546,1008251,1023015,1037881,1053049,1068103,1083268,1098609,1114049,1129540,1145487,1161506,1177805,1194240,1210848,1227639,1244600,1261480,1278376,1295575,1312934,1330577,1348595,1366638,1384874,1403418,1421839,1440605,1459529,1479066,1498492
1,1,1,1,2,3,5,6,7,7,8,9,11,13,15,16,17,17,19,20,22,24,26,26,28,28,29,30,32,33,38,40,43,48,50,58,59,66,69,73,77,83,87,91,97,101,106,108,116,122,126,132,139,145,153,159,168,177,190,195,204,213,225,234,239,256,268,283,298,308,325,336,351,373,392,410,425,437,456,476,498,519,537,562,577,595,607,639,664,689,721,742,770,807,830,851,884,922,946,973,1000,1030,1066,1099,1132,1168,1200,1246,1292,1328,1364,1414,1477,1516,1576,1620,1671,1717,1783,1847,1905,1958,2021,2089,2161,2242,2320,2417,2489,2555,2627,2706,2786,2872,2962,3057,3158,3261,3358,3461,3556,3670,3794,3926,4065,4202,4348,4516,4722,4908,5089,5297,5504,5709,5924,6127,6368,6607,6903,7146,7435,7704,7993,8263,8537,8825,9103,9397,9693,10015,10325,10682,10991,11284,11632,11983,12327,12713,13054,13423,13835,14245,14645,15050,15486,15947,16356,16817,17283,17822,18385,18923,19544,20186,20777,21476,22212,22889,23621,24347,25114,25942,26732,27553,28376,29274,30142,31051,31981,32906,33874,34923,35895,36908,37906,39028,40135,41251,42299,43500,44639,45838,47022,48243,49563,50859,52168,53559,54936,56281,57791,59256,60709,62247,63808,65393,67067,68813,70607,72440,74291,76063,77901,79891,81875,83845,85885,87908,89992,92216,94412,96544,98760,101020,103268,105577,108029,110381,112935,115542,118212,120875,123744,126635,129576,132550,135634,138748,141896,145223,148593,152054,155515,159019,162740,166502,170347,174196,177985,182023,186259,190516,194780,199163,203630,208140,212753,217500,222274,227069,231965,236976,241819,246907,252114,257453,262833,268381,273979,279639,285460,291204,297080,303037,309058,315129,321431,327777,334152,340713,347352,354078,360873,367723,374575,381710,388981,396384,403955,411679,419687,427691,435712,443957,452372,460820,469553,478223,486977,495836,504952,514112,523418,532709,542311,551832,561358,571212,581040,591081,601236,611538,622156,632698,643242,654026,664960,675739,686927,698157,709465,720781,732450,744163,755996,767828,779958,792069,804564,817227,829833,842442,855365,868253,881318,894635,907930,921457,935153,948731,962760,977101,991231,1005602,1020099,1034725,1049476,1064527,1079497,1094749,1109838,1125265,1140993,1156781,1172566,1188541,1204628,1220892,1237146,1253680,1270247,1286898,1303754,1320492,1337347,1354446,1371612,1388926,1406551,1424647,1442501,1460523,1478816,1497237,1515626,1534173,1552791,1571433,1590358,1609532,1628599,1647833,1667244,1686705,1706711,1726453,1746633,1766564,1786587,1807241,1827573,1848377,1869493,1890447,1911851,1933283,1954611,1976347,1998083,2019830,2041807,2064216,2086615,2109594,2132304,2155177,2178144,2201485,2224742,2248229,2271695,2295416,2319346,2343608,2367659,2391386,2415288,2439344,2463592,2487891,2512148,2536661,2560956,2585638,2610392,2634981,2659600,2684248,2709276,2734546,2759606,2785051,2810279,2835781,2861467,2887423,2913463,2939127,2965162,2991277,3017444,3043904,3070271,3096936,3123509,3150146,3176835,3203707,3230693,3257425,3284027,3310935,3338054,3364984,3392157,3419198,3446687,3474227,3501798,3529575,3557381,3585288,3613215,3640928,3669071,3696968,3725357
1,1,1,2,4,7,7,8,11,12,13,18,21,24,25,27,29,35,44,49,56,61,65,70,72,74,76,77,83,86,93,96,99,102,109,113,120,123,127,130,134,137,146,153,159,164,169,175,178,182,185,190,196,203,210,221,234,251,264,287,302,313,326,342,365,387,400,427,447,472,507,537,569,603,625,662,693,736,773,809,855,894,933,971,1008,1041,1069,1101,1141,1182,1218,1264,1294,1346,1385,1432,1472,1519,1566,1621,1670,1730,1788,1846,1918,1988,2072,2163,2259,2377,2489,2610,2732,2846,2990,3135,3259,3397,3526,3678,3837,3980,4122,4275,4421,4565,4752,4908,5080,5260,5442,5630,5827,6027,6217,6430,6651,6842,7063,7311,7542,7825,8022,8281,8535,8812,9105,9402,9725,10052,10432,10791,11132,11482,11835,12231,12602,12986,13398,13814,14180,14570,14974,15368,15778,16183,16603,17055,17496,17898,18281,18706,19121,19571,19996,20396,20895,21381,21862,22340,22814,23319,23776,24263,24765,25283,25770,26304,26836,27321,27859,28390,28945,29443,30023,30600,31117,31673,32292,32839,33444,34066,34724,35368,36058,36722,37399,38103,38778,39502,40214,40978,41801,42652,43492,44357,45237,46140,47005,47950,48869,49834,50901,51865,52906,53929,55023,56104,57199,58300,59406,60531,61745,62942,64050,65281,66452,67685,68902,70138,71481,72839,74177,75498,76923,78408,79908,81492,83059,84714,86509,88282,90058,91848,93636,95555,97493,99533,101570,103637,105692,107800,109882,111971,114030,116232,118379,120474,122630,124850,127029,129244,131473,133888,136271,138741,141136,143627,146164,148722,151327,154026,156778,159621,162576,165563,168743,171886,175208,178542,181857,185290,188845,192284,195809,199378,203132,206800,210537,214405,218293,222280,226277,230327,234453,238486,242798,247151,251674,256269,260867,265679,270395,275409,280449,285572,290708,295971,301357,306919,312570,318379,324263,330328,336399,342587,348843,355144,361710,368237,374939,381758,388582,395471,402536,409702,416949,424390,431779,439452,447269,455204,463350,471712,480108,488610,497308,506199,515215,524242,533546,542997,552391,561820,571638,581301,591049,601023,610899,620981,631115,641399,651590,661821,672376,682966,693554,704279,715268,726254,737471,748785,760234,771884,783646,795737,807743,819968,832261,844768,857333,869931,883236,896278,909503,923039,936388,949956,963923,978060,992170,1006327,1020764,1035172,1049869,1064775,1079957,1095114,1110547,1126027,1141560,1157437,1173725,1189497,1205768,1222146,1238966,1255618,1272177,1289135,1306286,1323324,1340640,1357860,1375172,1393072,1411008,1428951,1447257,1465513,1484052,1502988,1521976,1541298,1560526,1580194,1599936,1619861,1639896,1660483,1681017,1701812,1722454,1743145,1764115,1785289,1806768,1828251,1849578,1871325,1893119,1914753,1936823,1958881,1980889,2002925,2025245,2047831,2070503,2093009,2115644,2138330,2160933,2183606,2206360,2229119,2252299,2275410,2298865,2322315,2345934,2369647,2393511,2417629,2441887,2466233,2490744,2515365,2539753,2564756,2589572,2614501,2639783,2665131,2690323,2715648,2741157,2766727,2792404,2818183,2843796,2869887,2895760,2921670,2947673,2973951,3000446,3026767,3052879,3079300,3105957,3132433,3159224,3186155,3213189,3240112,3266914
1,1,1,1,1,1,1,1,1,3,4,4,5,7,8,11,11,11,11,11,11,13,14,17,20,22,22,27,31,32,36,38,39,41,44,48,50,53,54,57,64,69,77,78,83,84,89,92,95,96,99,102,104,109,115,116,118,120,126,133,134,141,147,152,157,163,166,169,173,175,180,185,189,197,202,210,214,218,224,237,241,248,253,264,274,275,286,298,310,326,334,350,372,382,398,418,435,442,454,470,481,498,511,524,540,550,562,577,594,605,622,631,639,651,660,677,683,689,706,714,725,735,749,761,774,786,799,807,824,845,867,885,906,921,944,968,988,1023,1053,1081,1106,1137,1162,1191,1213,1232,1266,1290,1313,1346,1385,1422,1451,1473,1508,1548,1576,1616,1669,1700,1730,1777,1815,1856,1904,1946,1981,2031,2071,2112,2147,2201,2244,2280,2324,2362,2428,2483,2522,2564,2614,2681,2753,2826,2884,2960,3034,3121,3188,3286,3357,3444,3532,3628,3724,3832,3916,4008,4102,4193,4287,4371,4487,4603,4712,4830,4972,5116,5254,5418,5563,5718,5870,5990,6117,6277,6423,6599,6770,6933,7124,7288,7457,7605,7788,7964,8144,8327,8523,8722,8932,9116,9299,9488,9694,9931,10131,10327,10541,10765,11015,11256,11492,11731,11993,12289,12571,12856,13162,13463,13792,14120,14420,14709,15031,15363,15718,16104,16483,16865,17239,17584,17956,18310,18717,19110,19555,20053,20517,20959,21445,21913,22449,22943,23445,23919,24440,24972,25491,26075,26661,27279,27854,28460,29062,29688,30296,30923,31624,32332,33003,33726,34478,35276,36004,36842,37641,38441,39200,40017,40849,41685,42536,43395,44347,45356,46270,47241,48227,49199,50235,51207,52273,53332,54391,55502,56614,57759,58921,60085,61294,62454,63709,64914,66295,67606,68940,70328,71684,73124,74494,75968,77503,78941,80473,82077,83610,85174,86772,88390,89958,91679,93398,95143,96999,98823,100679,102539,104410,106352,108320,110324,112415,114450,116542,118672,120818,122984,125140,127494,129801,132165,134615,137030,139478,141996,144594,147208,149994,152885,155981,159109,162212,165287,168410,171758,175130,178510,181971,185454,189074,192716,196371,200134,204062,208029,212075,216045,220280,224591,229042,233622,238125,242770,247486,252337,257339,262359,267532,272860,278269,283698,289164,294874,300632,306544,312466,318511,324759,331058,337538,344222,350854,357611,364567,371446,378418,385568,392609,399869,407271,414666,422229,429949,437730,445572,453480,461456,469707,478096,486506,494928,503648,512353,521172,530217,539493,548850,558252,567934,577730,587678,597630,607809,618052,628483,639026,649635,660315,670810,681657,692811,703752,714957,726103,737487,748948,760511,772241,783905,795749,807694,820165,832630,845297,857941,870918,883954,897302,910879,924580,938507,952560,966947,981269,995785,1010585,1025376,1040713,1056008,1071555,1087187,1102929,1118613,1134711,1151031,1167217,1183918,1200460,1217438,1234482,1251889,1269316,1286948,1304856,1322634,1340940
1,1,1,1,1,2,2,2,2,4,7,8,9,10,11,13,16,18,19,20,23,25,28,31,32,33,34,35,38,42,50,50,53,55,58,59,62,65,68,71,77,80,84,96,99,103,108,114,122,128,131,134,138,144,150,157,163,164,172,176,184,190,197,205,213,216,226,238,244,252,268,278,297,315,320,330,342,354,367,376,388,398,411,429,441,459,478,491,504,527,546,564,589,608,620,632,648,668,690,705,722,746,765,779,796,819,834,861,888,912,938,960,989,1011,1024,1049,1078,1107,1131,1156,1181,1202,1229,1256,1283,1308,1335,1376,1413,1444,1472,1501,1539,1571,1602,1634,1670,1706,1736,1772,1809,1844,1890,1921,1965,2001,2039,2085,2123,2176,2219,2259,2307,2358,2399,2436,2483,2517,2552,2588,2633,2675,2722,2771,2815,2848,2885,2918,2969,3016,3061,3112,3159,3195,3237,3264,3309,3365,3399,3436,3461,3505,3535,3588,3639,3677,3722,3773,3816,3860,3909,3952,3999,4049,4096,4137,4185,4228,4275,4338,4394,4436,4491,4551,4617,4660,4697,4758,4812,4861,4927,4980,5031,5087,5132,5187,5248,5314,5364,5430,5468,5535,5596,5655,5720,5774,5845,5906,5961,6035,6099,6169,6229,6282,6336,6400,6467,6538,6618,6686,6768,6830,6893,6973,7058,7143,7225,7303,7369,7446,7529,7612,7679,7749,7831,7902,7992,8090,8177,8259,8329,8419,8509,8611,8715,8814,8913,9020,9139,9259,9377,9482,9618,9718,9844,9984,10112,10256,10397,10535,10689,10839,11013,11194,11363,11517,11695,11880,12110,12314,12527,12753,12985,13201,13457,13712,13945,14249,14556,14862,15155,15475,15799,16127,16462,16787,17120,17480,17847,18194,18610,18989,19413,19847,20265,20733,21157,21578,22053,22538,23009,23478,24036,24565,25121,25634,26241,26865,27431,28052,28665,29330,29958,30633,31320,32059,32774,33463,34168,34933,35703,36570,37455,38327,39229,40165,41103,42093,43059,44019,45053,46093,47179,48268,49375,50505,51714,52890,54038,55280,56555,57840,59185,60504,61844,63174,64537,65937,67381,68785,70208,71691,73161,74656,76160,77770,79378,81024,82725,84422,86062,87768,89465,91216,92971,94816,96643,98495,100444,102368,104249,106177,108169,110146,112160,114171,116232,118329,120434,122596,124756,126974,129186,131408,133668,135926,138338,140816,143334,145867,148411,151011,153714,156428,159231,162156,165104,168090,171199,174270,177422,180466,183764,186943,190206,193595,196981,200408,203980,207579,211229,215034,218735,222638,226644,230681,234822,239083,243300,247595,252040,256700,261350,266206,271007,275913,280874,286087,291271,296689,302099,307654,313395,319235,325227,331419,337429,343679,350046,356391,362988,369585,376389,383118,389994,396956,404299,411641,419191,426773,434434,442289,450099,457948,466146,474300,482522,490886,499288,507820,516564,525408,534356,543336,552494,561793,571304,580882,590583,600281,609915,619862,629842,640035,650259,660869,671461
1,1,1,1,1,2,3,5,6,7,9,9,10,11,11,11,13,15,15,15,19,19,20,21,24,28,32,32,35,36,40,41,42,44,48,52,55,58,61,64,67,67,71,76,83,88,90,94,100,103,109,114,120,126,132,135,143,153,160,166,172,184,192,195,200,203,213,217,225,233,243,252,259,270,284,294,299,309,320,334,346,358,371,386,399,410,423,433,447,468,483,499,507,520,530,541,555,569,587,604,614,624,636,648,658,667,678,690,703,708,719,732,743,753,765,782,793,805,818,831,838,849,857,865,874,885,895,913,922,933,944,960,976,986,997,1009,1018,1031,1040,1053,1061,1075,1091,1105,1118,1127,1142,1161,1184,1206,1225,1245,1255,1274,1287,1307,1324,1342,1366,1394,1417,1444,1471,1493,1520,1543,1565,1592,1622,1654,1693,1720,1758,1794,1827,1867,1922,1970,2006,2047,2086,2133,2182,2228,2283,2344,2397,2459,2535,2585,2651,2725,2797,2880,2969,3055,3129,3213,3287,3375,3474,3562,3670,3787,3887,3998,4137,4258,4390,4516,4668,4816,4946,5110,5285,5456,5661,5833,6020,6199,6412,6591,6755,6974,7208,7430,7631,7838,8027,8254,8481,8704,8907,9110,9309,9527,9763,9983,10236,10481,10751,10990,11287,11544,11792,12073,12369,12632,12928,13231,13523,13840,14160,14516,14814,15153,15499,15806,16168,16514,16871,17226,17621,17994,18357,18771,19184,19590,19973,20378,20805,21236,21697,22115,22556,23030,23519,23934,24403,24915,25415,25922,26395,26874,27419,28002,28589,29213,29863,30452,31073,31694,32300,32900,33509,34247,34920,35604,36315,36989,37742,38435,39156,39906,40715,41470,42274,43101,43941,44779,45621,46512,47496,48396,49314,50226,51145,52103,53062,54041,55046,56107,57216,58344,59515,60731,62015,63310,64553,65884,67169,68443,69799,71158,72619,74053,75490,76943,78450,79950,81460,83078,84574,86223,87866,89525,91188,92876,94652,96511,98382,100321,102242,104312,106307,108369,110479,112643,114860,117098,119446,121764,124191,126587,128986,131500,134116,136814,139448,142223,145063,147901,150904,153962,157018,160334,163595,166932,170459,173974,177405,180935,184643,188324,192107,195869,199805,203850,207985,212073,216253,220547,224950,229482,233914,238506,243242,248056,253001,257885,262958,268040,273326,278657,284020,289456,295075,300877,306558,312417,318337,324375,330688,337019,343431,350127,356817,363629,370527,377605,384684,392154,399358,406848,414477,422035,429909,437719,446066,454421,462737,471096,479575,488324,497008,506074,515186,524571,533874,543231,552889,562832,572716,582561,592563,602848,613176,623807,634405,645021,655943,666953,678127,689414,700787,712523,724256,736214,748089,760269,772495,785176,797729,810511,823295,836255,849488,862884,876497,890277,904029,918150,932404,946777,961305,975720,990413,1005114,1019885,1035243,1050589,1066246,1082030,1097666,1113566,1129546,1145613,1161810,1178424,1194997,1211745,1228518,1245490,1262567,1279896,1297388,1314911
1,1,1,1,1,1,1,2,2,3,3,4,5,5,5,5,5,5,6,7,8,8,9,9,14,16,17,19,23,24,25,29,29,34,37,40,43,45,48,52,54,57,63,64,70,73,80,83,87,94,97,100,102,105,111,117,121,123,124,128,132,134,135,137,144,145,149,152,156,157,160,162,163,166,172,177,182,187,192,196,197,200,205,211,218,224,228,236,239,246,252,255,262,273,280,286,292,302,309,323,334,344,356,367,382,396,409,427,443,467,483,496,514,539,560,581,608,634,666,691,713,751,793,828,866,899,933,973,1003,1038,1074,1123,1161,1202,1233,1284,1322,1361,1387,1439,1481,1531,1573,1622,1667,1704,1740,1792,1837,1891,1955,2012,2068,2122,2192,2266,2340,2436,2517,2592,2698,2794,2883,2961,3057,3149,3241,3347,3432,3516,3606,3707,3826,3945,4054,4160,4284,4404,4551,4703,4868,5055,5243,5440,5650,5833,6033,6221,6423,6615,6835,7077,7319,7559,7819,8081,8369,8664,8974,9275,9625,10006,10415,10828,11235,11632,12042,12434,12834,13204,13572,13931,14269,14638,14949,15276,15591,15907,16206,16533,16855,17123,17403,17710,17977,18247,18530,18824,19088,19354,19621,19915,20201,20496,20780,21061,21362,21657,21966,22307,22605,22902,23240,23572,23918,24257,24650,25038,25440,25818,26218,26663,27040,27439,27888,28323,28773,29230,29662,30127,30605,31083,31526,32083,32548,33048,33508,33976,34501,35068,35635,36213,36804,37429,38051,38697,39366,39957,40595,41306,41943,42591,43290,43944,44626,45297,45993,46677,47375,48111,48861,49676,50470,51228,52006,52873,53756,54653,55563,56501,57364,58371,59397,60371,61342,62406,63409,64435,65484,66550,67609,68704,69837,70913,72043,73173,74259,75403,76602,77922,79121,80436,81772,82996,84328,85642,86999,88388,89869,91373,92875,94422,96017,97639,99260,100955,102584,104290,105986,107780,109556,111348,113216,115092,116871,118785,120749,122768,124742,126682,128663,130689,132779,134843,137091,139305,141476,143690,145954,148318,150574,152947,155397,157848,160417,162919,165639,168289,171072,173993,176836,179795,182816,185929,189099,192204,195527,198979,202320,205819,209398,213085,216857,220641,224489,228373,232342,236464,240541,244711,248900,253390,257745,262302,266917,271462,276172,280842,285603,290579,295454,300305,305355,310554,315824,321133,326475,331930,337352,342947,348544,354373,360286,366119,372157,378222,384309,390591,396881,403256,409711,416260,422985,429932,436981,444180,451257,458409,465660,473175,480756,488428,496215,503916,511816,519970,528031,536340,544665,553078,561740,570372,579179,588152,597283,606492,615943,625564,635205,645185,655269,665550,675877,686103,696673,707476,718516,729543,740732,751960,763384,774762,786398,798196,810088,822088,834224,846550,858957,871543,884213,897054,910065,923545,936944,950648,964594,978961,993332,1007714,1022248,1037373,1052680,1068158,1083885,1099716,1115679,1131817,1148410,1165227,1181978,1198971,1216162,1233195,1250797,1268438,1286299
1,1,1,1,3,3,3,3,5,5,5,5,5,8,8,8,10,13,15,15,15,16,17,18,20,22,24,33,39,42,45,49,53,56,60,66,67,70,74,77,81,84,87,92,96,102,111,114,120,125,128,131,135,143,148,152,156,161,166,170,174,176,181,185,191,198,204,213,226,231,239,246,250,258,274,284,296,303,311,318,332,342,355,365,379,392,412,429,446,471,495,511,532,545,557,579,592,617,639,661,687,711,737,757,771,797,825,856,881,909,928,962,996,1029,1057,1087,1124,1156,1189,1220,1261,1296,1327,1365,1402,1434,1468,1490,1518,1541,1564,1600,1631,1660,1688,1724,1755,1800,1826,1862,1895,1933,1972,2008,2050,2095,2135,2169,2215,2255,2292,2346,2388,2440,2490,2538,2599,2661,2715,2767,2814,2868,2941,3006,3073,3149,3227,3305,3389,3473,3550,3641,3738,3827,3934,4034,4132,4228,4350,4454,4552,4665,4770,4900,5026,5144,5281,5435,5558,5704,5848,6004,6145,6305,6436,6577,6729,6892,7050,7186,7364,7547,7706,7885,8061,8224,8402,8588,8785,8992,9217,9438,9672,9895,10159,10394,10620,10866,11087,11332,11544,11775,12009,12286,12548,12790,13072,13354,13631,13957,14250,14528,14839,15159,15523,15890,16266,16612,16998,17389,17814,18257,18639,19053,19472,19937,20352,20817,21266,21722,22211,22672,23160,23610,24075,24592,25073,25565,26089,26627,27135,27656,28202,28745,29269,29811,30382,30925,31515,32096,32702,33287,33868,34454,35072,35708,36349,36988,37663,38368,39081,39824,40533,41286,42043,42830,43603,44437,45287,46183,47101,47962,48856,49750,50715,51622,52542,53560,54521,55529,56540,57534,58481,59456,60450,61367,62435,63464,64464,65534,66613,67652,68717,69820,70901,72054,73221,74429,75617,76864,78114,79373,80729,82098,83432,84761,86188,87597,89065,90610,92186,93839,95491,97253,98970,100716,102570,104494,106417,108375,110354,112376,114505,116688,118926,121206,123511,125879,128216,130569,132989,135549,138090,140566,143159,145771,148424,151120,153870,156610,159390,162180,165005,167972,171022,174024,176997,179936,183038,186186,189387,192587,195971,199371,202761,206328,209751,213385,217035,220791,224565,228390,232376,236341,240396,244476,248794,253191,257522,262031,266677,271383,276236,281243,286273,291325,296502,301880,307317,312866,318384,324009,329755,335468,341358,347370,353397,359471,365717,371945,378419,384898,391311,397990,404773,411731,418798,426100,433410,440949,448501,456136,463853,471818,479743,487562,495713,504177,512854,521525,530140,539212,548438,557678,567054,576531,586344,596130,606145,616327,626557,636983,647512,658182,669043,679873,691052,702261,713521,724767,736468,748215,760222,771982,784205,796465,809082,821647,834429,847481,860686,874038,887943,901694,915526,929660,943934,958248,972707,987241,1002156,1017193,1032414,1047724,1062952,1078358,1093971,1109905,1126071,1142207,1158501,1174723,1191169,1207993,1224964,1241981,1258999,1276249,1293514,1311135,1328764,1346526,1364362,1382553,1400945,1419185,1437542
1,1,1,3,4,8,11,17,18,19,22,24,29,32,34,36,40,47,50,50,51,55,56,64,67,73,80,86,93,99,102,108,111,115,121,129,129,130,135,141,145,152,157,158,164,165,168,171,175,181,186,192,195,200,208,211,213,221,226,234,244,247,257,264,269,280,288,303,308,321,328,340,351,365,373,384,392,404,417,423,433,442,450,468,476,484,495,510,519,537,556,574,592,602,618,631,650,668,698,720,735,756,775,787,807,830,851,877,906,931,958,989,1016,1044,1067,1093,1121,1134,1166,1185,1206,1241,1274,1291,1314,1335,1366,1409,1431,1461,1493,1518,1545,1578,1610,1653,1686,1729,1767,1819,1866,1898,1942,1978,2026,2085,2137,2194,2268,2327,2388,2444,2515,2580,2661,2746,2842,2928,3040,3141,3221,3335,3452,3539,3664,3773,3873,3986,4077,4182,4300,4436,4545,4647,4769,4901,5037,5213,5358,5516,5698,5873,6046,6216,6408,6585,6799,7000,7211,7435,7684,7947,8182,8411,8664,8903,9171,9435,9692,10010,10265,10556,10806,11095,11412,11737,12058,12359,12672,12966,13284,13587,13901,14221,14562,14899,15219,15532,15882,16225,16552,16893,17260,17645,17983,18365,18810,19260,19702,20191,20693,21210,21726,22265,22839,23355,23867,24459,25059,25686,26319,26949,27610,28242,28927,29611,30305,30988,31789,32615,33416,34253,35137,36059,36995,37992,38986,39955,40942,41959,43042,44114,45199,46264,47323,48492,49663,50842,52030,53200,54434,55751,57078,58462,59965,61398,62859,64423,66019,67785,69369,71072,72865,74654,76391,78157,79988,81831,83680,85535,87410,89259,91225,93192,95204,97187,99186,101297,103373,105578,107842,110138,112517,114900,117361,119799,122288,124859,127398,129999,132612,135269,137882,140680,143369,146214,149076,151991,154968,157900,161055,164100,167170,170360,173604,176873,180281,183705,187282,190949,194590,198385,202180,206263,210335,214521,218760,223064,227551,231942,236410,240945,245622,250352,255193,259965,264868,269831,274727,279763,284852,289960,295201,300300,305391,310622,315903,321229,326769,332375,338056,343858,349774,355780,361785,368044,374383,380860,387245,394022,400816,407517,414398,421622,428850,436162,443606,451179,458652,466516,474413,482404,490693,498965,507539,516015,524781,533529,542505,551637,560995,570158,579758,589385,599233,609256,619398,629675,640078,650638,661362,672226,683199,694361,705680,717061,728523,740110,751925,763666,775673,787686,799855,812169,824462,836956,849475,862391,875378,888558,901709,915169,928596,942268,956207,970082,984200,998255,1012657,1027235,1041758,1056363,1071123,1086164,1101317,1116551,1132151,1147812,1163467,1179213,1195626,1211809,1228373,1245102,1261829,1278702,1295902,1312995,1330419,1347779,1365387,1383051,1400987,1419166,1437477,1455928,1474427,1493449,1512531,1531641,1550807,1570460,1590313,1610127,1630283,1650537,1670974,1691831,1712475,1733446,1754237,1775580,1796932,1818405,1839951,1861717,1883649,1905556,1927922,1950489,1972870,1995413,2018294,2041187,2064081,2087298,2110959,2134249,2158135,2181969,2206071,2230317,2254619,2278920,2303362,2327854,2352418
1,1,2,2,2,3,3,7,7,8,8,9,11,11,11,11,12,15,15,19,24,25,30,31,36,38,39,45,49,51,57,62,65,69,72,74,79,83,87,91,93,97,101,107,110,112,116,124,127,131,137,139,142,146,151,152,158,162,164,171,173,185,190,197,203,209,214,221,225,231,239,243,249,258,265,274,283,289,299,310,319,327,338,347,359,366,371,376,386,396,408,419,423,437,447,460,469,477,489,495,509,517,527,539,546,558,574,588,604,616,628,635,659,679,699,722,739,777,808,839,863,896,922,964,996,1040,1083,1134,1168,1224,1259,1297,1339,1378,1423,1471,1518,1567,1622,1688,1744,1791,1855,1899,1956,2035,2096,2169,2234,2308,2375,2468,2550,2618,2687,2772,2848,2913,2992,3086,3173,3248,3330,3407,3493,3578,3656,3745,3817,3918,4009,4111,4216,4317,4420,4530,4618,4700,4791,4899,4988,5097,5198,5289,5398,5509,5614,5706,5807,5927,6037,6156,6280,6405,6520,6635,6757,6889,7014,7147,7327,7496,7680,7858,8018,8175,8360,8565,8751,8928,9125,9324,9531,9730,9952,10143,10338,10531,10717,10918,11093,11294,11468,11658,11829,12010,12186,12358,12571,12768,12967,13158,13331,13496,13696,13877,14080,14263,14436,14641,14840,15041,15256,15447,15643,15843,16052,16290,16486,16705,16894,17125,17363,17562,17765,17984,18213,18433,18659,18895,19117,19355,19561,19825,20049,20254,20478,20733,20983,21223,21486,21738,21986,22214,22468,22692,22933,23205,23482,23791,24079,24384,24683,24916,25213,25512,25845,26174,26496,26851,27201,27572,27923,28303,28655,29069,29486,29905,30326,30753,31209,31655,32131,32651,33151,33710,34243,34835,35407,35983,36645,37245,37858,38453,39134,39814,40540,41278,41986,42670,43410,44253,45024,45902,46794,47726,48692,49659,50619,51581,52556,53601,54567,55638,56709,57726,58813,59952,61095,62295,63492,64734,65991,67272,68557,69917,71299,72773,74271,75865,77438,79037,80624,82258,83998,85756,87473,89331,91145,93066,95050,97009,98902,100891,103003,105114,107238,109436,111580,113733,115834,118112,120423,122775,125307,127809,130317,132928,135562,138153,140785,143464,146291,149065,151939,154886,157787,160796,163734,166801,170012,173002,176031,179060,182184,185464,188704,191903,195192,198491,201859,205316,208841,212353,215776,219382,223010,226770,230607,234384,238196,241978,245938,249823,253731,257779,261810,265891,270071,274300,278628,282809,287148,291612,296065,300652,305373,310228,315052,320013,325058,330147,335250,340431,345838,351275,356686,362258,367919,373649,379561,385592,391765,397762,404020,410239,416549,422960,429462,436171,442952,449783,456809,464066,471288,478479,485946,493432,501129,508786,516621,524485,532342,540407,548725,556934,565399,574019,582821,591845,600918,609923,618929,628022,637431,646906,656430,666573,676539,686622,696900,707408,717978,728615,739456,750456,761624,773088,784700,796303,807946,819699,831681,843577,855702,867884,880211
1,1,1,1,1,1,2,6,7,7,8,8,8,8,8,9,11,14,20,21,24,28,28,29,29,30,33,33,33,34,37,38,39,39,39,39,40,40,40,40,41,41,42,42,44,45,46,51,52,54,58,65,70,77,78,80,81,84,87,88,89,93,97,102,109,112,115,119,127,131,135,138,145,151,162,167,177,182,186,193,199,214,225,239,248,261,275,289,298,317,332,347,361,380,392,402,418,429,442,452,467,478,489,502,517,537,546,557,570,581,594,606,624,640,657,671,687,702,709,717,730,741,754,774,784,806,822,834,848,862,882,895,912,931,951,964,987,1008,1032,1057,1078,1101,1116,1144,1163,1196,1233,1264,1297,1326,1347,1373,1396,1432,1464,1514,1558,1600,1639,1696,1756,1804,1862,1929,1984,2041,2094,2160,2219,2294,2348,2407,2460,2505,2553,2591,2646,2696,2746,2788,2822,2871,2911,2943,2980,3019,3053,3092,3132,3168,3209,3247,3274,3302,3346,3379,3427,3466,3508,3559,3606,3649,3673,3708,3746,3780,3820,3853,3886,3929,3969,4007,4040,4092,4132,4167,4210,4255,4290,4329,4369,4405,4447,4490,4536,4588,4635,4686,4728,4780,4813,4846,4881,4920,4972,5020,5059,5106,5163,5214,5259,5297,5351,5396,5433,5475,5532,5584,5642,5691,5763,5821,5872,5927,5976,6038,6103,6159,6245,6307,6372,6437,6517,6590,6693,6774,6850,6931,7044,7150,7259,7384,7512,7619,7744,7878,8014,8152,8274,8405,8567,8703,8853,9000,9151,9306,9444,9579,9739,9879,10056,10225,10397,10574,10759,10949,11127,11296,11460,11661,11863,12058,12242,12433,12611,12786,12987,13201,13413,13600,13788,13979,14184,14373,14562,14772,14969,15154,15364,15571,15804,16030,16258,16454,16703,16952,17213,17468,17776,18045,18382,18690,19007,19373,19745,20130,20547,20964,21402,21878,22349,22820,23290,23798,24303,24851,25394,25982,26630,27301,27929,28588,29278,29951,30674,31398,32112,32823,33535,34273,34971,35703,36446,37225,38001,38788,39596,40383,41232,42041,42903,43751,44567,45445,46325,47150,48034,48886,49805,50753,51691,52655,53593,54553,55596,56631,57702,58775,59859,61046,62129,63277,64471,65708,66982,68275,69665,71072,72427,73798,75174,76638,78142,79626,81158,82691,84294,85954,87637,89290,91030,92793,94540,96280,98077,99917,101759,103613,105484,107401,109271,111204,113252,115309,117406,119534,121591,123767,125897,128074,130397,132749,135074,137481,139878,142320,144810,147306,149845,152464,155075,157813,160491,163217,165978,168790,171782,174775,177932,181097,184299,187406,190836,194266,197924,201545,205276,209190,213238,217336,221398,225438,229643,233727,237955,242459,246878,251402,255979,260726,265480,270196,275107,280157,285182,290370,295696,300959,306175,311524,317073,322784,328443,334171,340063,345955,352061,358126,364151,370284,376530,382835,389221,395651,402113,408683,415464
1,1,1,1,2,2,4,5,5,6,11,13,15,16,17,18,18,21,24,29,32,33,36,37,37,42,49,53,58,62,67,72,77,82,86,91,95,100,103,107,110,112,114,121,123,127,132,135,137,141,145,148,152,153,154,155,156,159,160,161,162,165,167,168,168,170,175,176,183,185,186,186,187,189,191,192,195,196,196,196,198,201,203,208,210,212,216,222,224,227,229,233,234,236,238,242,243,244,245,248,253,260,276,287,292,300,308,318,319,326,336,346,360,370,378,388,399,408,419,430,439,450,460,466,475,482,489,497,504,512,523,531,536,544,559,564,568,572,585,596,611,621,629,640,650,654,666,676,684,689,704,716,731,753,766,784,802,816,829,850,863,888,911,940,959,984,999,1025,1067,1106,1153,1197,1248,1284,1330,1376,1432,1489,1560,1617,1686,1769,1836,1910,1993,2069,2150,2226,2305,2390,2473,2536,2603,2678,2756,2841,2913,2993,3075,3159,3248,3317,3388,3463,3531,3594,3672,3759,3836,3925,4006,4097,4171,4258,4347,4436,4511,4588,4680,4759,4838,4930,5023,5098,5172,5248,5340,5426,5507,5588,5678,5789,5902,6001,6091,6197,6289,6397,6520,6638,6756,6871,7001,7115,7223,7328,7458,7588,7721,7847,7975,8127,8261,8383,8533,8684,8834,9004,9141,9290,9452,9609,9761,9923,10116,10290,10441,10611,10791,10955,11143,11317,11488,11679,11867,12062,12266,12462,12654,12877,13097,13336,13576,13806,14043,14275,14514,14800,15076,15348,15621,15911,16187,16468,16743,17028,17303,17598,17917,18277,18641,18956,19333,19685,20045,20425,20769,21219,21682,22140,22598,23119,23618,24152,24658,25264,25845,26432,27012,27654,28277,28908,29561,30262,30932,31546,32204,32892,33606,34281,34984,35650,36422,37142,37846,38607,39349,40147,40922,41713,42518,43332,44188,45035,45886,46771,47632,48550,49442,50351,51337,52292,53285,54316,55330,56296,57338,58366,59357,60396,61411,62490,63594,64569,65721,66853,68026,69245,70539,71805,73032,74358,75747,77165,78547,80029,81555,83103,84681,86246,87821,89488,91187,92807,94506,96222,97931,99691,101485,103302,105141,106934,108853,110694,112572,114448,116333,118286,120213,122245,124333,126348,128390,130646,132828,135074,137351,139699,142035,144467,146866,149428,152010,154672,157469,160310,163189,166186,169144,172227,175340,178548,181784,185066,188524,192053,195708,199306,203073,206847,210684,214609,218483,222536,226715,230740,234985,239284,243619,248131,252720,257253,261853,266559,271224,275987,280815,285646,290554,295497,300591,305806,311037,316406,321770,327342,333067,338699,344542,350448,356433,362589,368770,375141,381614,388179,394655,401369,408182,415136,421976,428984,436090,443386,450442,457688,465096,472287,479804,487321,494950,502784,510674,518802,526942,535011,543379,551818,560403,569136,577815,586661,595732,604863,614177,623712,633407
1,1,2,2,2,2,3,4,5,5,8,10,11,13,13,14,14,15,17,19,22,25,27,29,33,35,38,40,49,50,52,52,54,56,58,61,64,67,70,73,79,80,84,90,93,96,97,105,108,113,114,116,116,117,120,125,128,132,134,141,144,145,147,150,154,157,163,165,172,174,180,181,185,194,204,208,213,218,224,231,234,239,245,253,260,262,262,263,271,276,283,294,299,304,317,324,338,346,355,364,374,380,391,406,415,419,427,440,456,466,479,497,509,526,547,565,576,589,606,623,646,667,685,713,734,754,772,793,810,835,864,894,914,945,970,999,1027,1056,1092,1125,1167,1211,1251,1297,1355,1410,1455,1516,1570,1617,1674,1719,1767,1821,1876,1929,1980,2037,2087,2143,2199,2247,2298,2356,2426,2485,2544,2608,2688,2761,2827,2892,2987,3063,3120,3205,3265,3329,3406,3494,3570,3661,3743,3838,3919,4013,4094,4162,4255,4346,4426,4527,4615,4706,4814,4923,5013,5117,5230,5354,5465,5571,5695,5802,5927,6055,6177,6334,6486,6624,6764,6923,7077,7229,7382,7540,7691,7835,8011,8186,8373,8544,8739,8927,9092,9267,9479,9708,9914,10129,10342,10575,10832,11097,11370,11618,11943,12267,12601,12898,13248,13588,13932,14278,14624,14962,15298,15652,15998,16314,16704,17064,17436,17830,18248,18662,19038,19467,19879,20312,20846,21341,21867,22446,23035,23604,24228,24833,25501,26203,26919,27620,28366,29114,29869,30701,31537,32394,33224,34153,35021,35899,36810,37741,38637,39562,40512,41487,42447,43405,44356,45318,46335,47366,48452,49557,50655,51781,52895,54013,55128,56310,57516,58690,59958,61240,62541,63789,65069,66371,67689,69089,70481,71864,73338,74794,76306,77863,79340,80969,82550,84173,85810,87494,89117,90764,92467,94210,95983,97750,99600,101394,103263,105040,106803,108686,110576,112473,114415,116386,118330,120314,122345,124476,126621,128870,131211,133501,135858,138214,140586,143019,145563,148149,150738,153389,156111,158883,161681,164586,167427,170428,173458,176428,179549,182627,185921,189191,192548,196000,199588,203243,206791,210446,214098,217877,221694,225471,229408,233342,237457,241520,245730,249830,254197,258773,263216,267776,272445,277220,282064,287091,292042,297159,302394,307632,313004,318386,323838,329454,335036,340754,346520,352451,358473,364680,370926,377166,383763,390261,397001,403563,410461,417247,424275,431339,438607,445877,453144,460525,468064,475757,483321,491146,498981,506991,515020,523248,531556,539911,548433,556995,565559,574496,583396,592370,601615,611087,620642,630287,640135,650096,660248,670406,680985,691346,702142,712919,723837,734943,746191,757650,769227,780850,792417,804338,816420,828750,841095,853870,866356,879201,892445,905725,919242,932819,946351,960336,974071,988141,1002462,1016979,1031625,1046399,1061462,1076637,1091912,1107322,1122726,1138257,1154096,1169983,1185997,1202078,1218455,1235038,1251789,1268589,1285704,1303142,1320526,1337805,1355377,1373201,1391027,1409353,1427558
1,1,1,1,1,1,3,5,5,5,5,10,12,16,17,19,21,21,21,25,27,29,33,36,36,37,39,43,53,56,56,57,60,65,69,71,72,76,87,91,96,105,110,113,121,122,124,130,133,139,140,143,148,154,161,167,170,175,179,180,180,181,183,188,189,191,195,197,204,207,212,214,218,224,231,236,245,256,260,268,275,278,288,295,307,315,324,334,338,344,351,364,374,382,400,414,428,438,455,471,486,501,534,547,566,588,604,631,654,681,706,730,754,778,806,831,859,887,922,948,989,1010,1034,1069,1089,1116,1137,1168,1193,1216,1243,1266,1297,1325,1344,1379,1399,1427,1450,1471,1504,1527,1549,1581,1614,1646,1672,1710,1749,1790,1840,1884,1928,1962,2000,2028,2079,2122,2164,2205,2243,2285,2325,2367,2411,2471,2515,2562,2615,2660,2721,2772,2825,2878,2943,3001,3069,3148,3222,3313,3393,3467,3561,3664,3765,3877,3979,4111,4246,4398,4553,4716,4914,5103,5305,5499,5715,5909,6117,6350,6557,6786,7001,7236,7442,7711,7976,8236,8485,8694,8928,9183,9424,9686,9923,10177,10437,10715,11004,11255,11508,11773,12093,12429,12752,13060,13396,13731,14047,14381,14741,15140,15486,15903,16302,16717,17156,17588,18060,18505,19001,19479,19972,20410,20852,21361,21867,22339,22829,23326,23830,24298,24781,25292,25803,26310,26773,27314,27853,28442,28995,29570,30186,30771,31351,31948,32579,33185,33827,34480,35178,35853,36495,37143,37825,38514,39211,39896,40614,41397,42160,42928,43714,44474,45296,46090,46929,47823,48685,49581,50505,51418,52330,53260,54289,55296,56299,57376,58464,59508,60613,61745,62954,64094,65312,66581,67830,69098,70388,71775,73110,74460,75876,77268,78653,80115,81615,83081,84593,86171,87785,89334,91058,92762,94465,96278,98001,99896,101812,103813,105902,108014,110159,112378,114733,117009,119250,121629,124054,126554,129155,131746,134316,137063,139743,142447,145290,148145,151006,153999,156974,159815,162815,165903,169120,172407,175806,179117,182602,186106,189705,193382,197084,200852,204824,208933,213144,217316,221740,226154,230715,235227,239791,244364,249157,254022,258948,263881,268840,273910,279055,284316,289647,295028,300475,306027,311498,317069,322794,328626,334530,340516,346655,352768,359227,365751,372255,378843,385565,392401,399275,406326,413520,420881,428335,435814,443392,451187,459077,467157,475202,483498,491787,500308,508980,517532,526438,535712,544991,554371,563890,573512,583272,593037,603075,613206,623683,634046,644572,655303,665986,677039,687992,699319,710820,722578,734387,746227,758527,770978,783758,796616,809387,822367,835692,849204,862877,876594,890436,904587,919020,933554,948126,962978,977988,993016,1008176,1023755,1039363,1055156,1071252,1087494,1103851,1120408,1137293,1154345,1171554,1188825,1206402,1223877,1241913,1259647,1277628,1295835,1314177,1332403,1350879,1369531,1388435,1407319,1426358,1445395,1464999,1484803,1504559,1524672,1544747,1564928,1585023,1605567,1626285,1646908,1667852,1688777,1710094,1731467,1752838
1,1,1,1,4,4,5,8,9,10,13,15,17,19,20,21,24,28,31,38,41,44,49,53,59,67,73,80,85,91,98,108,113,123,133,145,161,175,189,202,219,237,255,273,294,314,334,353,367,379,394,409,420,428,445,455,469,482,504,527,541,552,575,595,614,633,654,676,697,716,739,767,804,840,906,967,1016,1072,1136,1189,1243,1324,1397,1467,1536,1620,1709,1793,1871,1950,2035,2127,2206,2299,2396,2481,2583,2669,2772,2865,2966,3065,3194,3303,3429,3548,3643,3754,3864,3983,4085,4208,4317,4435,4576,4694,4811,4942,5099,5229,5371,5513,5677,5810,5974,6125,6269,6442,6615,6791,6946,7125,7285,7469,7639,7799,7987,8175,8364,8553,8748,8923,9106,9307,9478,9661,9849,10009,10204,10402,10601,10813,11014,11234,11437,11647,11864,12082,12327,12572,12848,13099,13344,13591,13884,14136,14392,14683,14938,15204,15479,15758,16021,16303,16589,16867,17155,17405,17687,17994,18282,18576,18878,19175,19470,19783,20107,20399,20751,21107,21463,21814,22185,22581,22951,23351,23736,24122,24532,24948,25331,25773,26187,26607,27083,27578,28065,28609,29125,29645,30183,30733,31274,31812,32373,32964,33564,34202,34822,35454,36085,36681,37273,37916,38570,39169,39851,40513,41140,41875,42503,43119,43755,44428,45098,45804,46536,47208,47968,48689,49449,50224,51022,51808,52596,53400,54236,55073,55956,56827,57740,58646,59546,60539,61485,62444,63450,64482,65572,66678,67771,68908,70036,71197,72426,73688,74993,76313,77637,78966,80389,81776,83246,84739,86246,87841,89409,90969,92590,94273,96029,97763,99523,101336,103165,105062,106970,108881,110773,112707,114720,116728,118745,120777,122864,124970,127167,129299,131458,133710,135920,138229,140474,142836,145113,147427,149855,152213,154575,156982,159510,162137,164771,167384,169988,172670,175410,178164,180987,183977,187057,190179,193331,196545,199850,203149,206558,209951,213248,216795,220320,223877,227503,231205,234820,238658,242370,246123,249991,253892,257831,261873,265868,270081,274099,278182,282419,286720,290943,295392,299910,304399,308994,313780,318639,323486,328443,333565,338713,343759,349089,354447,359952,365589,371178,376858,382494,388266,394100,400002,406046,412093,418418,424646,430968,437498,443980,450779,457655,464428,471337,478264,485350,492534,499838,507473,515087,522732,530576,538393,546281,554422,562457,570655,579013,587362,595913,604718,613471,622386,631410,640610,650045,659593,669000,678988,688982,699151,709530,720013,730637,741547,752600,763864,775228,786835,798452,810170,822085,834185,846539,859072,871572,884026,896909,909660,922775,935815,949120,962600,976217,989924,1003806,1017721,1031928,1046266,1060617,1075338,1090140,1105183,1120282,1135595,1150838,1166271,1182080,1197781,1213877,1229728,1245972,1262555,1279098,1295661,1312529,1329733,1346691,1364085,1381549,1399087,1416800,1434562,1452308,1470209,1488242,1506409,1524668,1543064,1561663,1580468,1599540,1618475,1637597,1656701,1675753,1695039,1714457,1734093,1753735,1773673,1793545,1813542,1833936,1854421,1875030,1895741,1916504,1937490,1958631,1980087,2001360,2022745,2044255,2065713,2087538,2109400,2131364,2153507,2175630
1,1,1,2,2,2,4,5,8,9,11,14,14,16,19,22,26,29,33,38,44,52,54,58,63,66,70,75,79,84,91,94,100,103,106,114,122,130,131,136,141,145,149,153,158,160,164,172,174,180,184,194,197,202,205,210,219,224,232,232,235,243,251,258,261,261,268,271,276,282,296,300,311,313,316,320,330,336,344,350,365,372,381,386,394,405,416,431,443,449,457,461,466,475,480,487,495,503,511,519,529,534,538,546,555,562,563,567,575,582,586,590,593,596,600,602,604,607,615,620,622,627,634,638,641,649,663,671,677,680,687,702,710,716,723,734,739,752,754,757,768,775,788,797,800,810,828,833,847,862,872,885,895,907,922,945,966,990,1004,1021,1049,1076,1109,1138,1169,1210,1251,1277,1308,1343,1384,1425,1457,1506,1558,1616,1665,1728,1772,1826,1859,1915,1963,2014,2059,2112,2169,2222,2287,2380,2465,2531,2610,2681,2750,2821,2905,2978,3074,3150,3241,3336,3424,3512,3617,3714,3783,3885,3965,4031,4125,4211,4297,4370,4444,4537,4628,4702,4796,4874,4959,5036,5117,5224,5301,5409,5490,5585,5677,5775,5871,5973,6087,6172,6267,6393,6491,6594,6687,6795,6915,7019,7121,7218,7328,7434,7562,7683,7793,7901,8018,8136,8244,8374,8490,8613,8742,8869,9031,9172,9320,9484,9637,9800,9955,10114,10295,10466,10641,10811,10966,11145,11328,11514,11700,11899,12103,12286,12495,12689,12887,13091,13319,13538,13759,14034,14287,14560,14820,15106,15378,15660,15956,16256,16590,16928,17217,17581,17937,18301,18654,19055,19484,19911,20348,20826,21310,21849,22403,22931,23481,24055,24648,25240,25856,26481,27138,27748,28353,29036,29699,30399,31059,31762,32464,33253,34059,34818,35680,36629,37532,38448,39397,40395,41450,42486,43577,44683,45780,46916,48092,49263,50428,51588,52762,53983,55141,56402,57707,59025,60366,61776,63178,64558,66018,67576,69127,70660,72271,73891,75545,77260,79008,80731,82613,84518,86387,88271,90068,91993,94003,96043,98085,100252,102401,104574,106856,109164,111512,113876,116302,118845,121458,124096,126707,129341,132043,134815,137543,140420,143254,146098,148894,151757,154708,157682,160603,163512,166503,169550,172645,175740,178962,182123,185490,188867,192290,195758,199294,202845,206519,210156,213954,217739,221643,225533,229590,233626,237800,241971,246283,250536,254902,259433,264027,268656,273355,278114,282927,287872,292878,297898,303121,308296,313519,318914,324426,330040,335664,341232,347021,352853,358832,364785,370874,377050,383355,389703,396128,402676,409335,416168,422952,429907,436870,444062,451316,458713,466089,473812,481461,489380,497355,505447,513723,521977,530334,538831,547356,555943,564592,573343,582201,591133,600349,609542,618894,628368,638067,647789,657688,667719,677868,688128,698539,709351,720288,731191,742221,753301,764614,776171,787913,799902,811771,823990,836116
1,1,3,3,4,4,8,9,9,9,10,12,12,14,17,24,24,25,29,31,34,37,41,47,52,57,64,67,69,75,79,86,98,105,109,114,120,129,140,154,167,178,189,195,203,211,219,226,234,239,254,261,271,283,295,303,312,321,329,335,346,352,364,379,386,398,408,421,434,442,456,467,477,487,497,507,519,535,549,560,566,584,599,612,623,646,663,675,688,704,721,739,762,778,794,806,822,849,861,885,905,920,935,955,972,986,1007,1026,1049,1074,1096,1113,1139,1152,1182,1204,1248,1263,1294,1322,1353,1395,1426,1460,1498,1522,1557,1586,1607,1645,1665,1695,1726,1764,1795,1826,1858,1891,1926,1958,1983,2026,2055,2097,2136,2188,2224,2259,2314,2389,2465,2542,2643,2741,2836,2940,3047,3183,3335,3467,3621,3750,3911,4070,4221,4358,4527,4688,4846,5002,5164,5358,5534,5756,5951,6155,6380,6595,6800,7020,7247,7490,7718,7932,8180,8417,8614,8839,9086,9291,9556,9812,10056,10270,10496,10744,10977,11220,11462,11700,11942,12216,12502,12789,13102,13397,13687,14000,14321,14604,14921,15244,15611,15970,16334,16726,17092,17464,17838,18212,18627,19069,19473,19858,20308,20773,21152,21609,22068,22499,22925,23353,23787,24215,24665,25144,25657,26128,26631,27095,27601,28180,28724,29265,29793,30349,30938,31540,32118,32696,33308,33885,34545,35252,35859,36530,37160,37864,38493,39178,39822,40498,41237,41889,42615,43262,43993,44666,45358,46054,46790,47576,48352,49090,49800,50573,51390,52226,53035,53844,54662,55513,56372,57202,58055,58922,59840,60755,61685,62637,63586,64522,65520,66550,67599,68624,69674,70783,71865,72982,74118,75296,76473,77620,78884,80185,81479,82759,84197,85605,87090,88598,90168,91727,93294,94999,96709,98575,100428,102277,104238,106218,108253,110360,112450,114438,116567,118773,120947,123173,125460,127873,130313,132766,135385,138141,140908,143747,146606,149512,152503,155455,158600,161689,164881,168066,171413,174826,178305,181824,185328,188906,192528,196139,199944,203763,207732,211705,215715,219885,224032,228265,232591,236870,241258,245672,250187,254658,259296,263958,268738,273558,278406,283428,288402,293549,298781,303999,309430,314951,320405,326041,331669,337479,343300,349131,355088,361005,366942,373164,379347,385709,392111,398583,405289,412031,418809,425701,432556,439869,447244,454622,462115,469742,477366,484950,492628,500747,508782,516961,525397,533960,542740,551586,560703,569995,579447,589102,598929,608830,618833,629091,639697,650366,661010,671839,682846,694067,705414,716708,728503,740436,752178,764001,776124,788237,800485,812892,825313,837912,850460,863612,876534,889858,903224,916538,929945,943629,957373,971194,985451,999689,1013974,1028552,1043157,1057980,1072954,1088102,1103565,1119125,1134875,1150879,1167101,1183567,1200383,1217161,1234178,1251293,1268655,1286095,1303987,1321809,1340166,1358136,1376513,1395062,1413872,1433039,1452311,1471680,1491048,1510662,1530417,1550307,1570122,1590501,1610892,1631276,1652120,1672865,1693537,1714493,1735578,1756362,1777441,1798532,1819895
1,1,2,4,4,4,6,7,8,8,10,11,13,13,14,15,15,16,18,20,21,23,26,27,30,37,40,45,47,48,50,50,56,57,62,65,66,68,70,71,80,84,88,91,95,98,102,106,108,110,114,115,120,124,130,135,139,143,146,151,161,164,172,178,186,191,198,210,215,220,225,232,247,254,260,269,277,280,288,299,307,314,326,335,343,348,360,372,381,386,400,412,417,429,443,452,466,479,489,502,511,525,535,546,558,570,583,603,614,628,636,647,665,686,698,710,723,736,751,770,784,801,823,841,856,880,892,911,934,951,970,986,1013,1036,1060,1078,1102,1121,1138,1165,1191,1218,1232,1255,1274,1301,1315,1339,1358,1378,1411,1439,1458,1468,1484,1510,1522,1540,1567,1582,1595,1616,1632,1648,1677,1699,1718,1743,1755,1777,1801,1834,1866,1914,1976,2028,2104,2184,2265,2342,2430,2510,2593,2707,2797,2868,2961,3038,3127,3197,3270,3356,3430,3504,3573,3636,3706,3769,3838,3894,3946,4000,4055,4111,4167,4202,4248,4289,4341,4391,4433,4471,4509,4551,4588,4629,4657,4701,4738,4773,4814,4848,4875,4914,4947,4981,5014,5045,5068,5094,5128,5158,5192,5215,5244,5262,5296,5343,5387,5420,5453,5491,5534,5582,5626,5667,5705,5747,5793,5831,5872,5926,5978,6035,6074,6110,6146,6194,6248,6297,6346,6389,6435,6476,6527,6577,6621,6667,6711,6759,6799,6850,6892,6948,7001,7075,7148,7208,7274,7341,7413,7485,7556,7624,7709,7777,7851,7931,8026,8112,8207,8299,8387,8472,8554,8630,8720,8810,8887,8958,9043,9117,9213,9302,9390,9467,9569,9661,9746,9842,9936,10033,10142,10237,10329,10435,10537,10647,10759,10873,10995,11124,11262,11409,11554,11699,11845,11998,12144,12315,12475,12636,12806,12969,13148,13352,13534,13709,13903,14090,14259,14450,14653,14864,15047,15229,15396,15581,15769,15970,16169,16389,16598,16829,17081,17329,17570,17824,18062,18346,18645,18938,19224,19506,19801,20133,20495,20830,21176,21522,21884,22271,22681,23057,23495,23965,24384,24861,25306,25752,26240,26773,27313,27830,28390,28937,29515,30084,30755,31351,31972,32600,33245,33856,34535,35256,35970,36697,37434,38173,38966,39746,40531,41328,42158,42976,43849,44738,45632,46607,47551,48487,49505,50501,51544,52589,53648,54651,55754,56926,58125,59214,60362,61555,62711,63917,65087,66262,67545,68846,70139,71455,72824,74207,75610,77047,78509,79978,81471,83014,84613,86133,87743,89352,91046,92754,94398,96276,98076,99857,101697,103562,105559,107492,109553,111598,113648,115732,117868,119990,122091,124307,126631,128827,131094,133453,135775,138170,140663,143190,145774,148467,151218,154039,156831,159729,162832,165794,168884,172204,175420,178964,182299,185796,189328,192879,196570,200360,204177,208037,211967,215881,219796,223897,227946,232176,236379
1,1,1,1,1,2,3,3,4,6,7,7,7,7,8,8,10,13,15,17,18,22,26,30,31,34,39,41,43,45,49,50,55,56,61,61,66,70,75,83,85,89,92,96,101,109,112,113,120,123,128,131,135,137,139,140,144,150,153,156,160,164,170,176,178,186,190,196,201,206,213,216,221,225,233,243,260,268,271,282,288,297,313,327,343,354,362,373,391,411,422,435,447,461,470,484,498,515,524,535,540,555,563,573,583,600,609,615,621,631,645,651,661,663,665,672,677,684,691,693,701,707,713,718,724,731,733,740,749,754,761,769,776,783,787,792,797,809,822,834,845,856,868,875,885,900,906,914,929,942,956,971,983,992,1011,1021,1041,1058,1072,1084,1100,1117,1134,1151,1160,1182,1196,1207,1222,1234,1249,1270,1288,1309,1330,1352,1370,1395,1424,1443,1466,1487,1510,1528,1550,1568,1586,1610,1623,1647,1666,1684,1705,1723,1745,1764,1779,1797,1821,1839,1864,1886,1913,1938,1962,1983,2010,2047,2076,2113,2155,2189,2220,2257,2303,2350,2390,2435,2474,2518,2558,2590,2633,2671,2716,2766,2812,2859,2899,2945,2995,3058,3107,3158,3220,3287,3361,3432,3502,3583,3659,3726,3812,3918,4024,4116,4207,4307,4422,4531,4623,4748,4862,4967,5088,5227,5358,5499,5628,5769,5905,6035,6171,6294,6434,6559,6699,6842,6986,7136,7278,7433,7561,7689,7826,8000,8158,8311,8465,8613,8782,8952,9139,9321,9494,9681,9867,10093,10288,10501,10749,10974,11196,11427,11645,11904,12178,12461,12732,13022,13339,13672,13991,14292,14627,14974,15322,15689,16066,16440,16882,17326,17743,18213,18710,19190,19695,20180,20665,21195,21751,22315,22926,23513,24132,24760,25430,26067,26759,27488,28192,28851,29575,30326,31138,31932,32691,33467,34313,35148,36047,36957,37861,38877,39851,40824,41872,42882,44006,45106,46233,47383,48611,49863,51155,52430,53765,55108,56430,57909,59396,60964,62540,64198,65960,67741,69494,71292,73118,75001,77003,79062,81026,83142,85370,87565,89885,92218,94552,96878,99221,101651,104110,106581,109096,111598,114155,116687,119239,121954,124692,127560,130288,133141,135984,138953,141885,145023,148101,151260,154481,157845,160975,164236,167416,170708,174089,177591,181150,184692,188307,191983,195637,199355,203213,207136,211178,215273,219469,223780,228154,232642,237196,241867,246568,251318,256187,261148,266183,271407,276690,281966,287503,293012,298723,304251,309985,315884,321926,327925,333973,340128,346426,352566,358949,365476,372033,378825,385604,392593,399492,406644,413838,421213,428770,436445,444158,451980,459985,468094,476127,484473,492730,501335,510048,518699,527341,536003,544797,553923,563079,572356,581789,591208,600991,610752,620593,630395,640622,650933,661254,671817,682152,693029,703895,714952,726045,737345,748738,760320,771832,783646,795615,807743,819952,832191,844495
1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,5,5,7,8,9,9,9,9,10,10,10,11,11,11,11,11,11,13,13,14,15,15,16,17,17,17,17,17,17,18,19,19,22,23,23,26,28,29,33,33,35,35,36,37,39,39,41,44,47,49,51,51,52,56,56,60,63,66,72,72,74,78,81,82,85,91,95,98,106,110,115,121,125,129,132,136,137,138,143,145,151,157,164,168,170,171,176,180,186,192,192,196,200,204,208,210,214,217,224,232,233,236,241,244,247,247,251,256,263,266,272,277,279,283,286,289,291,297,305,310,313,319,324,328,334,340,346,347,354,367,372,374,381,386,390,398,404,410,422,427,435,443,453,457,468,476,482,499,507,516,528,538,557,576,588,605,621,639,659,678,711,741,759,789,815,842,876,899,924,950,983,1012,1031,1053,1080,1107,1131,1157,1184,1211,1247,1272,1307,1339,1373,1407,1448,1490,1543,1604,1651,1692,1740,1795,1862,1930,2001,2080,2154,2220,2312,2399,2479,2568,2668,2751,2841,2919,3011,3093,3181,3287,3408,3521,3619,3709,3821,3944,4046,4155,4263,4373,4484,4594,4716,4829,4944,5061,5188,5318,5447,5578,5700,5832,5972,6125,6253,6368,6521,6654,6798,6939,7074,7208,7364,7530,7696,7868,8030,8183,8372,8550,8733,8914,9094,9274,9435,9625,9813,10000,10179,10351,10517,10710,10909,11100,11284,11492,11695,11894,12103,12322,12549,12766,13011,13246,13476,13685,13937,14167,14395,14661,14928,15186,15473,15722,16022,16360,16699,17029,17352,17674,18008,18335,18697,19075,19425,19847,20243,20630,21040,21434,21861,22330,22779,23253,23750,24243,24789,25412,26074,26686,27336,28026,28700,29401,30135,30821,31581,32332,33117,33937,34732,35499,36350,37140,37965,38854,39701,40536,41361,42241,43080,44017,44950,45909,46850,47830,48842,49924,51008,52105,53205,54313,55369,56414,57631,58788,59978,61166,62349,63490,64668,65915,67177,68494,69681,71031,72403,73767,75188,76678,78192,79715,81304,82994,84708,86458,88281,90064,91943,93802,95754,97727,99729,101779,103792,105918,107997,110240,112483,114725,117040,119426,121842,124320,126784,129323,131996,134673,137500,140221,143042,146116,149036,152101,155246,158470,161625,164979,168481,171884,175340,179086,182800,186549,190390,194341,198128,202133,206193,210240,214451,218727,223074,227544,231973,236542,241173,245909,250831,255687,260702,265765,271123,276522,281884,287453,293036,298916,304777,310726,316677,322763,328938,335271,341825,348306,355038,361737,368741,375895,383179,390651,398192,405969,414007,422127,430320,438799,447248,456036,464633,473561,482566,491715,500922,510256,519798,529329,538978,548809,558805,568846,578933,589236,599814,610523,621061,631849,642741,653725,665014,676279,687668,699333,711022,722900
1,1,1,1,1,2,3,4,4,4,4,4,6,7,7,7,7,7,7,7,8,9,10,12,13,15,15,16,18,20,21,26,30,33,35,37,37,42,46,48,49,54,59,65,72,76,84,88,90,94,98,102,112,121,133,139,153,165,175,190,209,216,229,246,262,271,288,306,324,335,341,356,369,379,392,402,418,440,450,461,472,479,490,498,504,509,518,519,526,535,546,552,554,561,570,578,583,592,603,614,627,644,655,662,675,696,715,728,748,777,801,823,849,872,904,934,969,1001,1036,1074,1102,1135,1170,1202,1243,1285,1323,1355,1387,1430,1471,1513,1547,1591,1647,1696,1741,1792,1834,1897,1936,1979,2019,2078,2137,2199,2250,2305,2371,2427,2478,2525,2585,2644,2727,2810,2886,2967,3040,3120,3196,3276,3333,3414,3495,3593,3668,3757,3851,3938,4048,4131,4250,4341,4454,4557,4647,4746,4858,4938,5062,5188,5294,5402,5517,5644,5758,5879,5995,6125,6257,6372,6495,6608,6758,6873,7011,7168,7329,7488,7633,7787,7957,8096,8256,8449,8647,8822,8992,9187,9391,9619,9831,10034,10277,10505,10741,10981,11241,11465,11710,11937,12188,12436,12728,13002,13305,13599,13900,14192,14500,14800,15113,15441,15748,16066,16397,16740,17107,17466,17856,18266,18667,19056,19447,19821,20227,20574,20902,21251,21578,21919,22268,22626,22947,23281,23607,23994,24374,24783,25194,25593,26017,26458,26891,27370,27830,28292,28736,29230,29746,30303,30811,31387,31969,32573,33148,33737,34341,34923,35454,36049,36641,37226,37855,38455,39034,39664,40299,40932,41615,42276,42954,43656,44338,45025,45710,46449,47213,47982,48781,49623,50492,51417,52345,53298,54329,55284,56363,57411,58419,59525,60557,61658,62800,63917,65019,66111,67226,68410,69583,70813,72034,73242,74526,75783,77072,78347,79652,80989,82454,83948,85383,86870,88337,89867,91390,92969,94569,96261,97856,99599,101310,103110,104865,106618,108407,110199,112027,113783,115672,117649,119544,121409,123336,125241,127146,129163,131239,133227,135324,137436,139513,141702,143859,146089,148501,150826,153242,155508,157935,160373,162893,165389,167926,170509,173234,175925,178791,181643,184490,187444,190416,193434,196450,199578,202729,205892,209016,212310,215586,219056,222456,225922,229566,233366,237115,241019,245020,249069,253132,257228,261370,265667,270056,274416,278946,283543,288117,292784,297669,302540,307559,312662,317823,323212,328596,334214,339948,345799,351619,357764,364002,370374,376846,383305,389815,396580,403514,410500,417614,424888,432284,439760,447573,455155,463109,471029,479104,487429,495824,504463,513304,522275,531142,540211,549608,558958,568425,578168,588170,598413,608848,619207,629699,640512,651480,662368,673529,684797,696524,708260,720143,732081,744229,756668,769230,782072,794969,808069,821514,834927,848746,862535,876593,890880,904870,919128,933529,948399,963043,978006,993159,1008437,1023686,1039260,1054714,1070462,1086413,1102414,1118558,1134801,1151081,1167747,1184455,1201338,1218321
1,1,1,1,3,4,4,4,5,5,10,12,14,15,16,19,21,27,31,36,39,41,43,49,55,64,75,76,83,94,103,108,115,122,137,144,149,158,163,175,184,198,205,213,219,230,237,246,257,260,273,286,294,305,313,319,330,339,345,351,356,358,367,378,384,393,400,410,420,429,442,457,466,485,505,525,551,573,583,601,625,656,683,713,751,780,811,837,874,914,950,984,1019,1064,1101,1134,1172,1213,1245,1296,1335,1373,1412,1458,1509,1548,1588,1643,1687,1745,1805,1867,1943,2016,2095,2162,2219,2293,2382,2486,2584,2675,2754,2852,2964,3065,3145,3235,3342,3459,3566,3670,3767,3881,3997,4127,4245,4363,4494,4636,4768,4893,5005,5133,5295,5442,5579,5755,5945,6131,6319,6494,6705,6930,7165,7425,7669,7922,8184,8413,8680,8957,9197,9482,9770,10044,10303,10594,10878,11181,11506,11825,12164,12478,12798,13122,13433,13755,14103,14505,14870,15263,15633,16008,16408,16836,17253,17657,18055,18442,18842,19234,19630,20076,20471,20906,21384,21840,22318,22739,23215,23673,24136,24653,25164,25642,26147,26632,27132,27658,28185,28693,29241,29802,30360,30913,31464,32053,32593,33162,33765,34365,35035,35699,36303,36909,37546,38183,38871,39600,40343,41066,41822,42626,43379,44186,45038,45906,46787,47743,48683,49662,50655,51649,52707,53787,54898,56020,57164,58356,59615,60901,62219,63584,64891,66189,67585,68983,70409,71915,73325,74793,76359,77898,79395,80916,82522,84092,85722,87325,88977,90665,92462,94255,96143,97980,99926,101863,103749,105864,107781,109845,111994,114084,116193,118327,120431,122708,124919,127237,129472,131877,134260,136683,139262,141783,144314,146982,149671,152366,155137,158005,160933,163921,167046,170204,173381,176690,179791,183059,186330,189727,193070,196631,200111,203662,207359,211051,214803,218705,222608,226551,230640,234712,238878,243322,247753,252238,256822,261398,266080,270902,275956,280997,286132,291504,296950,302444,308131,313799,319773,325795,331867,337883,344249,350617,357077,363832,370695,377419,384347,391459,398697,406012,413362,421078,428922,436693,444762,453244,461691,470467,479104,487954,496999,505997,515324,524803,534487,544097,553735,563728,573693,583873,594213,604651,615046,625593,636186,647029,657963,669227,680455,691816,703345,715064,727036,738941,750970,763308,775637,787996,800665,813496,826398,839399,852447,865755,879173,892775,906572,920373,934349,948303,962714,977351,991885,1006847,1021691,1036691,1051850,1067041,1082324,1097900,1113552,1129338,1145120,1161273,1177458,1194035,1210744,1227551,1244815,1261993,1279434,1296998,1314797,1332737,1350931,1369055,1387852,1406401,1425389,1444555,1464047,1483611,1503471,1523504,1543991,1564388,1585066,1605880,1627079,1648434,1669828,1691510,1713621,1735704,1758052,1780374,1802584,1825229,1848088,1870820,1893874,1916842,1940219,1963533,1987130,2011045,2034782,2058699,2082543,2106423,2130642,2154892,2179468,2204043,2229032,2253850,2279113,2304305,2329533,2354816,2380458,2406190,2432219,2458043,2483969,2510374,2536714,2563276,2590126,2616799,2643438,2670484,2697337,2724459,2752004,2779352,2806902,2834533,2862084,2889784,2917449,2945186,2973131
1,1,2,3,4,6,7,8,11,19,23,25,25,26,29,34,42,48,58,65,76,85,89,94,102,112,120,132,143,152,168,180,197,208,225,238,265,276,290,308,335,355,372,394,410,438,456,467,479,498,513,527,546,562,581,592,613,633,643,660,674,695,709,725,756,789,809,833,851,862,891,915,931,954,976,998,1022,1049,1076,1099,1132,1154,1175,1197,1225,1256,1291,1306,1340,1366,1400,1429,1465,1489,1526,1556,1582,1616,1646,1680,1723,1747,1776,1808,1840,1881,1910,1949,1982,2019,2049,2072,2104,2134,2164,2205,2233,2265,2291,2332,2367,2399,2443,2477,2514,2563,2608,2657,2692,2741,2801,2853,2917,2985,3049,3125,3181,3240,3282,3335,3394,3446,3516,3580,3663,3734,3815,3899,3958,4042,4139,4223,4312,4418,4519,4642,4759,4854,4992,5125,5273,5397,5529,5672,5805,5931,6064,6198,6341,6487,6646,6811,6962,7106,7250,7427,7589,7763,7940,8115,8265,8452,8628,8820,9004,9227,9386,9551,9731,9903,10074,10254,10442,10657,10816,11019,11205,11385,11577,11755,11937,12112,12293,12529,12739,12952,13158,13365,13582,13802,14055,14253,14510,14758,15021,15282,15542,15814,16106,16388,16681,16953,17271,17606,17934,18252,18574,18895,19215,19515,19816,20135,20481,20827,21151,21534,21914,22288,22718,23172,23634,24081,24539,25009,25473,25983,26467,26952,27440,27980,28532,29093,29641,30224,30834,31481,32081,32692,33325,34026,34718,35491,36206,36910,37668,38432,39267,40036,40866,41742,42624,43568,44499,45465,46411,47373,48377,49428,50455,51521,52592,53650,54852,55957,57101,58271,59528,60716,61923,63241,64582,65937,67259,68622,69977,71427,72820,74253,75695,77148,78662,80178,81688,83214,84750,86312,87961,89577,91241,92903,94577,96276,98045,99826,101616,103442,105325,107189,109085,111020,112989,115029,117080,119193,121398,123486,125680,127823,130062,132337,134615,136901,139191,141515,143874,146217,148633,151134,153683,156304,158918,161580,164328,167077,169959,172819,175783,178892,181946,185110,188321,191675,195042,198555,202068,205680,209447,213087,216822,220618,224505,228473,232368,236541,240681,244869,249201,253558,257892,262318,266870,271487,276343,281117,286090,291068,296064,301153,306391,311773,317179,322696,328133,333777,339262,344775,350348,356171,362169,368289,374288,380485,386755,393054,399560,406464,413344,420341,427426,434598,441983,449368,457067,464985,472817,480869,489139,497498,505855,514478,523309,532196,541372,550788,560356,570146,580005,590208,600541,610873,621762,632440,643339,654497,665812,677144,688633,700006,711802,724007,735977,748291,760702,773290,786094,798882,812022,825305,838602,852117,865807,879530,893358,907390,921667,935852,950122,964480,979031,993733,1008689,1023453,1038834,1054071,1069516,1084959,1100607,1116234,1132128,1148078,1164301,1180746,1197206,1213893,1230689,1247515,1264509,1281850,1299065,1316600,1334045,1351893,1369496,1387363,1405214,1423351,1441425,1459743,1478277,1497061,1515729,1534796,1554171,1573413,1592595,1612131,1631519,1651163,1671021,1690665,1710614,1731004,1751319,1771723,1792259,1812769,1833572
1,1,1,1,1,3,3,6,6,8,8,9,11,12,14,16,20,21,23,27,31,39,44,48,51,57,61,66,72,75,78,82,86,93,98,102,107,108,111,115,120,123,129,135,139,148,151,155,157,167,170,172,179,182,186,190,192,194,203,207,214,220,229,235,240,243,247,254,257,259,266,269,272,281,284,289,292,300,303,310,314,319,322,328,330,334,336,344,347,350,355,360,365,371,374,381,386,391,394,397,400,408,410,412,414,417,422,427,434,439,444,444,447,447,452,457,461,464,467,472,474,478,484,487,487,488,489,494,499,500,502,503,504,506,507,512,515,519,525,528,532,535,538,539,541,546,555,558,566,569,573,581,589,595,608,611,615,623,631,634,643,650,656,661,667,673,677,686,692,695,701,706,708,715,719,720,724,727,734,740,743,745,749,750,758,764,767,771,775,783,788,796,803,809,817,827,834,845,853,860,866,877,886,895,905,916,919,937,955,965,979,998,1020,1035,1041,1051,1070,1082,1095,1110,1128,1146,1162,1187,1203,1219,1234,1250,1264,1277,1294,1313,1335,1354,1376,1392,1411,1421,1441,1458,1482,1489,1509,1521,1535,1554,1573,1584,1593,1611,1628,1638,1652,1665,1677,1694,1717,1733,1757,1775,1785,1799,1813,1827,1845,1866,1886,1909,1923,1941,1954,1973,1999,2016,2033,2051,2078,2103,2112,2142,2174,2211,2230,2260,2298,2330,2357,2376,2424,2468,2509,2533,2566,2602,2648,2675,2705,2731,2767,2794,2819,2855,2881,2906,2935,2976,3012,3039,3079,3111,3132,3159,3183,3212,3238,3265,3300,3335,3361,3396,3430,3468,3493,3531,3559,3593,3627,3661,3698,3738,3781,3823,3869,3921,3980,4036,4088,4153,4220,4286,4353,4422,4500,4581,4638,4707,4797,4867,4948,5039,5117,5201,5280,5375,5473,5577,5664,5759,5866,5957,6078,6180,6294,6402,6516,6636,6767,6909,7051,7183,7329,7490,7626,7800,7966,8143,8300,8437,8609,8797,8976,9141,9318,9504,9686,9869,10050,10261,10444,10630,10804,10999,11187,11399,11579,11760,11969,12187,12392,12591,12800,13023,13244,13444,13660,13889,14133,14381,14609,14843,15086,15357,15620,15885,16149,16435,16702,16995,17289,17632,17959,18297,18624,18943,19272,19607,20005,20339,20727,21118,21515,21910,22323,22762,23198,23640,24122,24577,25033,25495,25997,26519,27021,27571,28123,28770,29352,29912,30547,31236,31950,32596,33368,34160,34924,35712,36578,37431,38315,39250,40181,41095,41986,42926,43871,44867,45876,46980,48052,49139,50279,51479,52718,54075,55444,56793,58305,59795,61260,62847,64470,66056,67734,69423,71159,72956,74761,76547,78314,80112,81935,83828,85795,87732,89597,91460,93458
1,1,1,1,2,2,4,4,5,5,5,6,9,10,11,13,14,17,19,20,21,26,31,33,36,41,44,47,53,62,65,69,71,73,79,84,90,96,101,105,109,114,121,127,129,132,135,140,144,151,155,159,161,164,173,181,184,196,199,205,212,215,221,226,244,247,249,256,265,272,285,294,300,304,318,326,338,356,364,376,385,395,411,420,433,449,454,464,477,497,511,526,533,547,562,572,583,593,611,626,642,654,666,678,695,701,714,721,729,747,759,775,789,806,814,825,834,841,852,864,872,883,890,898,906,913,922,933,938,948,952,957,961,965,970,973,979,984,992,996,1000,1002,1003,1004,1006,1009,1017,1021,1028,1034,1036,1040,1044,1048,1053,1061,1064,1068,1078,1093,1110,1121,1135,1141,1153,1159,1172,1185,1205,1218,1232,1251,1269,1302,1323,1348,1371,1390,1418,1439,1459,1488,1518,1552,1577,1610,1640,1692,1731,1781,1836,1894,1965,2017,2084,2152,2219,2304,2395,2485,2580,2687,2790,2914,3014,3142,3282,3409,3553,3725,3866,4037,4187,4352,4518,4693,4863,5055,5277,5486,5666,5879,6087,6317,6514,6712,6970,7212,7469,7734,8000,8295,8561,8795,9058,9286,9553,9833,10098,10380,10684,11000,11299,11578,11875,12173,12447,12755,13067,13359,13648,13940,14226,14523,14832,15147,15398,15716,16011,16303,16620,16874,17166,17460,17771,18063,18382,18704,19010,19318,19639,20011,20343,20659,21004,21380,21751,22148,22511,22931,23341,23721,24120,24506,24932,25339,25742,26156,26589,26992,27391,27819,28269,28691,29135,29594,30053,30510,30975,31430,31906,32366,32808,33261,33753,34237,34758,35318,35842,36385,36919,37479,38030,38591,39177,39727,40289,40899,41524,42172,42835,43520,44190,44879,45603,46340,47101,47896,48639,49397,50196,51030,51832,52644,53474,54320,55117,56026,56901,57797,58694,59575,60497,61466,62396,63319,64311,65273,66324,67337,68463,69549,70693,71873,73095,74316,75615,76852,78123,79446,80769,82136,83487,84904,86388,87848,89357,90851,92324,93856,95478,97144,98861,100532,102185,103840,105462,107264,109080,110869,112779,114685,116764,118815,120916,123006,125173,127377,129639,132001,134325,136672,138994,141443,143887,146481,149129,151749,154347,157095,159989,162899,165861,168867,171865,174957,178176,181380,184438,187678,190954,194205,197515,200865,204239,207712,211228,214796,218348,222022,225791,229643,233529,237568,241602,245908,250286,254758,259122,263555,268111,272866,277889,282872,287910,293156,298472,303771,309333,315001,320599,326394,332226,338163,344234,350357,356549,362758,368975,375147,381368,387628,394022,400511,407001,413634,420203,426937,433570,440535,447649,454596,461979,469336,476718,484139,491873,499604,507334,515194,523306,531669,539897,548333,556775,565333,574274,583265,592319,601516,610607,620006,629509,639334,649165,659171,669148,679281,689508,700118,710587,721274,732061,742913,754168,765403,776752
1,1,1,1,1,2,2,2,3,5,5,6,8,9,10,10,10,12,14,17,21,23,24,27,29,33,36,37,40,43,44,46,53,56,63,65,66,69,69,71,74,78,84,87,94,98,99,103,110,115,120,123,126,136,138,140,141,146,148,156,162,166,176,182,187,190,195,199,202,218,226,229,234,242,251,260,268,278,283,296,304,315,324,333,344,354,370,382,398,412,425,445,463,478,495,514,525,542,562,584,606,632,652,667,690,706,722,745,769,796,811,828,846,870,892,910,934,956,972,989,1014,1032,1051,1076,1092,1110,1126,1149,1180,1201,1219,1236,1256,1280,1296,1326,1342,1363,1384,1410,1430,1453,1473,1496,1516,1534,1556,1577,1593,1619,1640,1670,1690,1712,1730,1750,1778,1797,1824,1839,1862,1879,1908,1933,1968,2002,2031,2051,2082,2113,2165,2203,2263,2336,2437,2541,2625,2740,2844,2963,3051,3151,3255,3363,3459,3551,3640,3747,3838,3928,4004,4094,4199,4283,4377,4485,4586,4679,4778,4883,4991,5100,5198,5282,5390,5498,5621,5764,5882,6011,6144,6270,6385,6530,6669,6811,6952,7104,7239,7382,7528,7654,7801,7929,8074,8201,8334,8482,8614,8747,8864,8987,9101,9238,9389,9522,9656,9814,9988,10142,10294,10440,10623,10803,10998,11181,11363,11563,11747,11942,12166,12375,12587,12789,12994,13222,13426,13634,13819,14031,14223,14426,14634,14813,15041,15256,15462,15658,15873,16090,16302,16518,16765,17020,17270,17499,17772,18010,18250,18496,18780,19026,19242,19498,19748,20039,20339,20646,20919,21188,21474,21740,22062,22337,22650,22907,23222,23519,23828,24145,24460,24763,25067,25368,25701,26022,26369,26695,27042,27390,27705,28080,28451,28829,29215,29598,29994,30397,30791,31238,31698,32122,32582,33073,33603,34127,34652,35144,35647,36180,36764,37373,38013,38581,39210,39880,40574,41231,42021,42788,43560,44340,45145,45943,46839,47622,48474,49321,50223,51149,52066,52959,53845,54763,55766,56778,57811,58847,59833,60846,61853,62862,63952,65000,66063,67176,68279,69375,70484,71585,72679,73817,74930,76108,77289,78512,79766,81041,82322,83653,85004,86395,87746,89168,90656,92257,93885,95534,97172,98833,100548,102223,103991,105882,107731,109571,111453,113326,115192,117158,119109,121160,123110,125115,127202,129278,131418,133692,135960,138299,140621,142980,145455,147943,150512,153113,155777,158550,161331,164193,167001,169891,172808,175762,178699,181680,184642,187730,190828,193934,197118,200397,203729,207145,210531,213965,217582,221130,224760,228530,232354,236161,240115,243975,248034,252154,256178,260390,264596,268833,273326,277760,282250,286808,291388,296272,301096,305981,311157,316296,321532,326881,332213,337672,343294,348886,354581,360333,366036,372091,378235,384397,390727,397185,403593,410187,416486,423186,429885,436562,443612,450473,457523,464571,471750,479100,486476,493892,501609,509254,517150,525187,533221,541312,549611,557962,566543
1,1,1,1,4,4,4,5,7,7,8,12,15,15,16,18,22,24,29,29,35,38,40,47,48,51,56,60,65,68,75,81,86,92,97,102,109,114,121,126,135,149,158,166,183,196,210,217,236,247,258,275,290,310,326,345,368,385,403,423,445,464,480,501,514,533,546,557,576,594,613,625,653,680,701,729,752,777,806,838,860,886,920,947,987,1031,1075,1114,1158,1210,1258,1311,1381,1456,1522,1576,1648,1718,1788,1851,1918,1999,2068,2150,2227,2311,2387,2467,2542,2599,2659,2733,2796,2874,2947,3000,3076,3153,3212,3272,3330,3391,3472,3544,3634,3704,3767,3852,3935,4020,4109,4198,4283,4372,4470,4572,4677,4778,4890,5000,5100,5207,5318,5423,5523,5638,5751,5871,5980,6106,6232,6368,6516,6633,6797,6914,7061,7213,7359,7496,7644,7791,7952,8123,8305,8488,8670,8863,9059,9265,9488,9690,9916,10130,10360,10614,10890,11147,11460,11742,12065,12337,12613,12951,13265,13589,13913,14225,14589,14930,15257,15598,15926,16285,16663,17035,17428,17777,18204,18566,18985,19407,19827,20256,20700,21183,21701,22210,22743,23289,23802,24361,24973,25574,26142,26728,27371,28008,28629,29277,30000,30711,31413,32152,32884,33643,34365,35149,35913,36715,37525,38389,39251,40175,41051,42006,42909,43852,44881,45795,46814,47820,48799,49855,50951,52019,53164,54301,55507,56685,57885,59047,60210,61395,62619,63901,65187,66542,67871,69219,70514,71912,73297,74712,76092,77577,79076,80606,82261,83839,85525,87168,88901,90703,92571,94521,96447,98396,100422,102527,104707,106896,109069,111309,113543,115857,118175,120591,123124,125668,128227,130826,133502,136273,138931,141829,144681,147589,150482,153471,156484,159412,162394,165365,168426,171566,174702,178039,181256,184608,187908,191344,194781,198268,201854,205567,209331,213099,217086,221054,225132,229370,233641,237874,242129,246642,251100,255696,260300,265038,269923,274783,279630,284650,289784,294938,300295,305646,311119,316842,322599,328454,334484,340551,346708,353107,359472,365897,372576,379413,386341,393464,400699,408066,415524,423204,430940,438681,446796,454850,463116,471458,479696,488359,496878,505549,514467,523452,532579,541631,550844,560283,569978,579667,589659,599764,610255,620881,631593,642492,653521,664610,675935,687468,699217,711096,723159,735348,747710,760041,772835,785776,798981,812287,825753,839337,853104,866855,880748,894729,908817,923068,937393,951917,966505,981273,995998,1011407,1026639,1042186,1057893,1073630,1089771,1105977,1122121,1138520,1154926,1171632,1188394,1205268,1222302,1239325,1256568,1273963,1291611,1309214,1326982,1345098,1362935,1380972,1399078,1417421,1435905,1454359,1472875,1491745,1510817,1530061,1549206,1568541,1587937,1607610,1627488,1647678,1667779,1688120,1708856,1729850,1750818,1771949,1793247,1814885,1836540,1858327,1880363,1902592,1925018,1947198,1969722,1992636,2015479,2038156,2060987,2084087,2107176,2130564,2154047,2177170,2200749,2224239,2248078,2272018,2296036,2320434,2344871,2369082,2393599,2418607,2443692,2469151,2494644,2519713,2544927,2570209,2595722,2620919,2646216,2671584,2697236,2722759,2748345,2774113,2799369,2824849,2850732,2876666,2902620
1,1,1,1,1,1,2,3,3,4,4,5,5,5,5,6,6,6,6,6,6,9,10,14,14,18,21,22,25,30,33,34,36,37,40,41,50,51,53,55,59,63,66,72,77,84,89,95,100,106,115,121,127,130,138,142,152,160,168,174,178,185,191,195,203,217,222,226,231,237,243,253,266,278,285,299,313,319,328,334,338,350,367,382,397,412,423,436,444,454,467,480,497,517,534,553,566,586,604,624,639,658,679,697,727,747,775,790,804,822,843,862,881,898,921,945,978,1002,1027,1046,1070,1091,1120,1150,1174,1215,1247,1280,1306,1333,1368,1397,1417,1447,1476,1513,1551,1578,1600,1637,1685,1726,1760,1800,1826,1860,1900,1948,1978,2023,2070,2119,2166,2208,2257,2308,2360,2412,2468,2515,2576,2633,2687,2738,2797,2857,2900,2959,3025,3085,3151,3209,3276,3327,3390,3448,3506,3572,3626,3698,3778,3846,3922,3983,4055,4151,4225,4324,4398,4487,4582,4671,4771,4878,4987,5090,5193,5287,5377,5489,5601,5697,5817,5916,6029,6139,6243,6346,6470,6566,6666,6739,6840,6943,7035,7140,7238,7341,7464,7551,7658,7786,7894,8003,8114,8230,8362,8493,8624,8773,8913,9037,9190,9339,9485,9621,9794,9967,10131,10300,10476,10652,10832,11016,11200,11390,11566,11740,11918,12104,12308,12447,12659,12839,13030,13228,13438,13635,13862,14080,14283,14495,14715,14969,15223,15487,15730,15944,16196,16453,16731,16979,17278,17584,17805,18080,18368,18674,18968,19262,19584,19874,20162,20449,20747,21041,21340,21634,21938,22235,22524,22868,23200,23496,23805,24166,24515,24873,25218,25570,25911,26292,26686,27087,27459,27894,28297,28721,29181,29602,30056,30499,31015,31533,32054,32628,33207,33809,34404,35028,35639,36310,37018,37690,38408,39120,39852,40567,41282,42032,42763,43546,44410,45254,46135,46946,47820,48690,49583,50509,51390,52363,53316,54342,55407,56386,57493,58527,59574,60682,61814,62947,64023,65173,66332,67583,68750,69900,71127,72342,73610,74822,76065,77370,78648,79965,81291,82624,83948,85356,86781,88239,89704,91203,92757,94353,96014,97683,99407,101152,103041,104827,106705,108595,110399,112326,114273,116178,118260,120281,122427,124539,126792,129034,131220,133607,136031,138483,140825,143328,145886,148521,151166,153795,156599,159266,162108,164878,167783,170724,173766,176773,179736,182799,185928,189132,192344,195571,198989,202261,205835,209285,212844,216436,220089,223717,227513,231359,235407,239540,243595,247827,252056,256479,260905,265423,270019,274727,279531,284283,289051,294017,299061,304151,309394,314612,320047,325551,331173,336828,342527,348258,354197,360191,366347,372749,379035,385512,392236,398964,405923,412790,419859,426958,434174,441535,449048,456711,464389,472119,480036,488007,496074,504333,512644,521101,529636,538357,547222,556130,565186,574248,583585,592994,602753,612576,622547,632620,642859,653515,664226,674956,685858,697012,708221,719777,731544
1,1,1,1,1,1,2,3,3,4,6,6,6,8,9,10,12,14,16,18,18,19,21,27,33,41,43,45,53,56,62,68,73,78,82,85,94,100,106,111,112,113,117,122,124,124,132,136,141,148,153,158,162,165,167,173,180,186,193,194,198,205,211,217,218,224,230,235,242,250,252,258,264,274,281,287,290,295,307,317,325,330,341,346,352,364,374,382,388,394,400,404,415,425,436,451,470,482,493,503,511,518,524,530,539,549,557,564,576,590,604,615,623,632,638,645,653,660,671,686,696,707,726,739,753,769,780,797,813,832,849,866,881,901,922,929,945,956,974,983,999,1023,1036,1060,1081,1102,1120,1137,1153,1167,1179,1188,1200,1216,1236,1252,1266,1286,1307,1322,1337,1352,1381,1401,1432,1462,1488,1514,1550,1588,1625,1659,1701,1743,1785,1821,1858,1897,1934,1960,2004,2048,2086,2113,2156,2185,2211,2254,2278,2310,2347,2381,2418,2457,2497,2545,2596,2645,2695,2743,2787,2828,2893,2945,2999,3061,3113,3180,3238,3307,3373,3418,3502,3579,3642,3705,3769,3827,3893,3970,4047,4120,4182,4252,4311,4376,4451,4510,4573,4626,4693,4749,4808,4875,4938,5011,5085,5149,5208,5267,5328,5381,5451,5522,5574,5644,5691,5743,5807,5872,5934,6006,6081,6139,6208,6276,6341,6394,6459,6529,6591,6667,6742,6802,6853,6925,6984,7046,7099,7175,7226,7281,7344,7415,7485,7532,7594,7661,7714,7769,7834,7890,7953,8011,8070,8132,8194,8265,8314,8379,8426,8487,8561,8625,8687,8747,8800,8847,8899,8955,9018,9071,9120,9161,9214,9261,9314,9365,9413,9463,9511,9555,9610,9666,9719,9778,9839,9896,9940,9976,10033,10071,10122,10178,10236,10292,10335,10387,10444,10491,10550,10589,10640,10706,10761,10810,10872,10932,10981,11025,11091,11132,11190,11244,11312,11355,11409,11461,11514,11572,11631,11693,11754,11814,11864,11916,11965,12038,12095,12164,12239,12299,12354,12428,12484,12566,12664,12773,12878,12983,13104,13251,13397,13530,13656,13788,13925,14090,14220,14347,14481,14600,14741,14865,15018,15156,15278,15400,15530,15643,15783,15934,16060,16194,16327,16472,16618,16762,16909,17072,17240,17416,17571,17762,17949,18156,18364,18585,18825,19046,19273,19515,19794,20023,20275,20534,20776,21022,21271,21494,21740,22047,22307,22585,22858,23139,23446,23737,24022,24313,24607,24914,25235,25570,25889,26244,26610,27010,27485,27909,28392,28908,29382,29906,30441,30954,31457,31988,32538,33107,33664,34232,34764,35375,35967,36608,37255,37902,38567,39264,39937,40616,41341,42058,42852,43672,44492,45346,46252,47142,48063,48976,49929,50825,51714,52622,53522,54463,55348,56337,57238,58215,59114,60076,61051,62050,62972,63894,64847,65854,66804,67813,68891,69953,71019,72054,73112
1,1,1,1,1,1,1,1,2,2,2,3,3,5,6,7,8,8,9,11,11,11,13,13,15,19,20,28,30,40,45,48,50,51,52,57,66,69,72,79,81,86,89,92,94,96,99,102,105,109,115,120,121,125,127,130,132,134,136,143,147,152,156,160,164,169,173,175,178,183,187,193,203,214,221,227,234,248,263,280,298,316,327,354,373,398,417,435,451,475,503,517,535,553,568,590,612,632,652,674,695,726,745,773,798,827,854,869,891,912,930,945,971,1003,1036,1063,1085,1114,1149,1179,1210,1248,1294,1335,1373,1413,1457,1505,1544,1588,1627,1674,1713,1774,1837,1891,1944,1996,2050,2113,2171,2203,2257,2309,2353,2400,2449,2494,2532,2574,2621,2670,2716,2764,2802,2851,2896,2928,2970,3027,3078,3131,3186,3230,3279,3326,3386,3432,3469,3515,3548,3600,3641,3682,3723,3771,3809,3859,3911,3969,4019,4067,4108,4171,4222,4287,4341,4399,4464,4531,4602,4673,4739,4805,4879,4945,5008,5088,5164,5259,5357,5466,5586,5692,5781,5876,5993,6118,6237,6367,6504,6639,6788,6968,7140,7300,7482,7670,7842,8017,8238,8444,8627,8823,8993,9183,9372,9577,9793,10037,10289,10571,10859,11164,11454,11719,12071,12399,12699,13028,13381,13743,14071,14425,14772,15157,15533,15942,16327,16713,17090,17510,17898,18316,18733,19167,19662,20079,20512,21017,21492,22014,22541,23047,23524,24042,24560,25076,25603,26119,26597,27162,27660,28212,28744,29318,29804,30361,30894,31405,31959,32450,32979,33561,34121,34699,35276,35864,36461,37059,37714,38327,38988,39638,40308,41045,41735,42472,43266,44018,44878,45698,46573,47395,48315,49186,50062,50939,51840,52743,53725,54701,55684,56609,57592,58592,59575,60567,61679,62746,63815,64917,66012,67135,68198,69371,70553,71805,73011,74187,75469,76796,78114,79517,80921,82342,83764,85275,86812,88286,89788,91370,93030,94659,96260,97967,99695,101424,103159,105005,106810,108641,110527,112371,114318,116281,118226,120253,122414,124501,126657,128839,131119,133289,135607,138056,140447,142829,145272,147788,150322,152952,155575,158278,161007,163773,166662,169601,172760,175854,179033,182254,185582,189121,192671,196183,199852,203495,207239,211085,214917,218976,223021,227077,231305,235492,239851,244200,248791,253434,258165,263007,267814,272768,277878,283125,288301,293667,299011,304596,310162,315863,321825,327809,333757,339858,345976,352347,358708,365142,371750,378524,385119,392037,399005,406292,413422,420629,427930,435518,443283,451188,459247,467297,475551,483890,492573,501343,510098,518837,527896,537135,546459,555789,565371,575044,584892,594900,604941,614929,625181,635357,645733,656063,666494,677273,688028,698925,709806,720874,732211,743653,755399,767136,778779,790568,802509,814501,826728,839264,851764,864696,877647,890956,904450,918002,931573,945547,959823,973842,987986,1002310,1016599,1031279,1046066,1061108,1076226,1091775,1107244,1122977,1138992,1155121,1171331,1187879,1204498,1221188,1238079
1,1,1,1,1,3,6,8,10,11,12,14,21,24,26,27,30,34,39,47,48,53,55,58,63,65,67,71,73,76,78,80,82,84,87,90,92,96,99,103,108,111,115,117,118,119,126,130,131,133,140,141,155,162,165,173,182,184,187,189,195,199,208,214,218,226,236,242,245,249,254,257,267,275,284,286,290,297,310,315,321,325,334,341,349,362,373,385,395,409,417,426,441,449,462,477,491,507,518,536,549,564,575,587,601,614,635,648,672,687,704,724,745,769,794,815,839,856,877,898,914,932,947,965,996,1011,1034,1052,1059,1076,1091,1100,1117,1128,1137,1152,1166,1185,1195,1207,1222,1233,1251,1265,1278,1287,1311,1328,1350,1370,1397,1408,1443,1464,1487,1509,1533,1551,1571,1602,1619,1635,1659,1678,1696,1712,1733,1749,1764,1779,1805,1827,1846,1868,1888,1901,1916,1926,1939,1962,1983,2006,2029,2041,2058,2076,2099,2115,2140,2158,2181,2205,2219,2238,2269,2308,2346,2384,2427,2455,2494,2536,2571,2625,2657,2686,2727,2767,2815,2850,2900,2952,2997,3028,3062,3108,3155,3196,3256,3302,3342,3384,3428,3462,3501,3539,3568,3592,3626,3648,3693,3720,3753,3775,3807,3836,3864,3886,3913,3944,3968,3998,4026,4056,4084,4104,4124,4152,4176,4208,4238,4273,4307,4337,4387,4427,4463,4503,4547,4586,4632,4675,4723,4772,4816,4869,4902,4948,5001,5039,5090,5138,5195,5253,5301,5364,5426,5488,5549,5624,5681,5746,5824,5898,5959,6024,6088,6145,6197,6257,6319,6398,6456,6534,6597,6655,6731,6801,6861,6924,6999,7055,7112,7196,7251,7321,7385,7445,7502,7554,7609,7668,7726,7773,7833,7895,7948,8011,8065,8132,8200,8269,8329,8390,8456,8519,8593,8667,8741,8822,8899,8968,9029,9114,9193,9265,9343,9431,9508,9600,9691,9779,9859,9955,10063,10153,10251,10335,10421,10521,10608,10689,10774,10873,10955,11035,11127,11213,11314,11410,11503,11614,11739,11833,11958,12061,12180,12276,12391,12499,12605,12744,12882,13006,13142,13267,13384,13526,13677,13826,13957,14117,14260,14412,14569,14727,14898,15074,15230,15396,15568,15763,15986,16195,16414,16658,16915,17171,17445,17734,18013,18308,18605,18886,19171,19482,19813,20137,20472,20774,21084,21438,21796,22182,22520,22867,23219,23563,23895,24242,24599,24946,25315,25707,26065,26473,26895,27273,27645,28028,28436,28892,29351,29804,30257,30714,31198,31661,32163,32625,33128,33616,34144,34669,35235,35811,36390,36999,37573,38197,38807,39431,40054,40727,41374,42078,42735,43482,44230,44997,45776,46590,47403,48237,49032,49911,50841,51772,52718,53735,54710,55697,56802,57881,58978,60094,61291,62516,63710,64996,66245,67569,68868,70258,71739,73276,74805,76396,77967,79571,81260,83012,84797,86632,88434,90370,92227
1,1,1,1,1,1,1,2,2,5,6,10,11,12,12,14,16,18,22,24,25,29,32,38,42,48,53,56,58,61,64,65,69,74,75,80,89,93,97,100,105,110,114,116,121,126,132,133,135,138,141,145,150,152,158,161,163,169,171,176,180,188,199,207,217,221,226,231,235,241,246,249,254,258,260,267,273,277,280,287,290,294,296,301,303,306,311,313,316,316,324,325,326,327,330,333,337,341,346,347,348,349,352,354,356,357,359,360,363,370,371,373,373,374,374,378,381,383,385,388,394,397,398,403,410,415,418,421,423,424,426,428,430,434,440,443,448,450,455,456,458,461,462,462,462,463,464,465,469,472,474,480,481,484,488,490,493,497,498,498,500,501,502,507,510,513,515,515,519,522,523,527,530,534,535,538,542,547,547,547,549,552,553,553,554,555,558,560,564,564,565,565,567,569,570,570,571,575,577,579,580,581,583,584,585,588,588,588,591,592,592,593,594,596,597,599,599,599,599,602,604,604,604,604,604,605,606,607,608,612,615,619,619,621,621,621,621,621,623,626,627,628,635,638,639,641,642,644,645,645,646,646,646,647,647,647,648,648,648,648,649,650,650,651,652,654,655,655,655,655,657,659,660,663,665,668,669,671,672,672,674,674,674,674,675,677,677,682,682,684,686,687,687,690,694,697,699,703,706,709,711,713,718,721,724,726,733,738,743,751,758,759,760,763,765,768,773,776,778,781,784,789,793,794,794,796,798,800,801,802,803,806,809,810,810,811,811,811,812,815,822,825,826,826,826,826,829,832,832,832,835,836,837,839,841,844,844,845,847,851,853,854,856,860,866,868,872,874,877,881,882,883,886,889,891,891,894,894,902,904,909,911,918,919,920,923,927,930,931,931,936,939,942,943,945,952,955,958,963,966,970,975,980,987,992,998,1004,1006,1010,1018,1022,1024,1032,1036,1043,1046,1054,1058,1063,1068,1075,1079,1085,1093,1103,1113,1127,1140,1146,1159,1179,1189,1202,1212,1229,1245,1255,1265,1271,1282,1295,1312,1322,1331,1339,1355,1369,1384,1393,1411,1421,1429,1439,1452,1465,1482,1489,1494,1508,1518,1526,1540,1555,1569,1578,1590,1602,1614,1624,1637,1650,1678,1697,1712,1734,1749,1768,1789,1807,1823,1840,1864,1883,1908,1939,1961,1989,2020,2060,2086,2122,2148,2177,2218,2254,2290,2328
1,1,1,2,2,4,5,5,6,6,8,8,13,16,18,18,20,24,31,33,35,44,50,54,56,60,62,64,64,70,74,74,81,85,90,96,101,108,110,116,122,128,132,140,146,151,155,160,167,172,176,185,187,194,203,208,213,220,221,223,234,242,247,251,261,265,270,276,280,291,300,307,309,317,327,330,340,349,355,360,367,372,383,396,406,418,431,445,453,483,490,500,510,519,537,548,558,569,589,601,611,621,639,657,675,689,697,714,737,749,768,785,798,817,836,853,868,893,913,933,958,985,1010,1033,1051,1084,1107,1132,1150,1170,1193,1220,1248,1280,1308,1338,1357,1389,1430,1466,1501,1529,1561,1592,1629,1675,1719,1750,1797,1841,1892,1933,1975,2019,2054,2102,2155,2198,2243,2290,2324,2364,2425,2472,2521,2578,2650,2710,2776,2861,2927,2990,3067,3111,3194,3259,3332,3406,3488,3586,3663,3745,3826,3906,3994,4078,4159,4253,4333,4441,4545,4661,4761,4867,4990,5140,5309,5458,5621,5784,5940,6133,6307,6487,6687,6862,7033,7203,7393,7588,7777,7963,8127,8313,8516,8713,8905,9107,9344,9571,9787,10044,10287,10481,10713,10948,11162,11410,11649,11893,12143,12402,12635,12887,13146,13450,13752,14019,14312,14588,14914,15216,15513,15791,16045,16377,16687,17033,17366,17721,18047,18413,18746,19115,19456,19807,20167,20537,20929,21302,21718,22095,22512,22923,23366,23813,24235,24690,25088,25499,25925,26352,26794,27237,27625,28056,28531,28996,29495,29993,30484,31001,31537,32117,32674,33304,33949,34618,35253,35927,36597,37293,37991,38680,39412,40166,40910,41662,42480,43336,44139,45008,45864,46827,47731,48670,49581,50557,51561,52548,53633,54712,55880,56969,58137,59318,60495,61669,62910,64131,65415,66739,68028,69331,70642,71993,73321,74716,76126,77599,79088,80499,82001,83551,85095,86653,88210,89825,91446,93130,94781,96530,98275,100073,101871,103742,105713,107682,109630,111703,113756,115898,117974,120255,122543,124871,127181,129547,131930,134410,136981,139528,142096,144645,147304,149894,152714,155579,158546,161437,164385,167483,170544,173604,176663,179820,183027,186294,189570,192897,196287,199904,203348,207033,210558,214185,217992,221855,225696,229491,233394,237425,241405,245536,249817,254109,258368,262773,267284,271874,276605,281434,286393,291493,296495,301669,307104,312395,317900,323512,329122,335001,341002,347098,353314,359754,366266,373055,379971,386892,393918,401126,408498,416076,423696,431291,439103,447001,454862,462967,471326,479601,488162,496794,505647,514491,523490,532557,541944,551321,560889,570660,580318,590427,600424,610503,620795,631392,641837,652510,663257,674290,685485,696990,708494,720049,731885,743665,756090,768541,781174,794327,807382,820704,834275,847828,861609,875366,889685,903900,918371,932954,947839,962810,978041,993071,1008706,1024391,1040015,1056193,1072023,1088143,1104423,1120627,1137090,1153741,1170634,1187741,1204956,1221995,1239320,1256640,1274791,1292674,1310632,1328549,1346849
1,1,1,1,1,4,4,4,5,11,15,18,19,21,22,25,31,36,39,40,43,45,49,52,53,59,59,61,66,71,76,78,84,88,93,97,100,107,111,119,121,126,131,138,142,149,155,160,166,174,184,191,198,209,218,232,241,252,259,273,283,298,319,336,353,373,389,405,425,444,466,477,490,503,521,541,561,573,590,612,631,657,673,694,716,733,750,766,785,810,835,854,877,906,934,969,1003,1044,1081,1123,1154,1188,1230,1281,1311,1356,1404,1436,1491,1533,1588,1645,1694,1740,1790,1823,1871,1907,1952,2000,2040,2078,2116,2152,2184,2215,2250,2288,2332,2371,2407,2452,2490,2518,2552,2591,2643,2681,2723,2763,2801,2856,2898,2949,3011,3063,3118,3173,3229,3284,3337,3397,3469,3520,3591,3664,3750,3843,3925,4008,4091,4179,4272,4371,4456,4555,4658,4756,4861,4982,5083,5187,5303,5427,5566,5695,5823,5964,6113,6257,6406,6541,6679,6849,7007,7147,7303,7457,7628,7802,7995,8193,8383,8585,8757,8925,9106,9259,9448,9633,9815,10003,10193,10429,10633,10817,11006,11188,11397,11596,11828,12063,12314,12546,12787,13026,13271,13510,13752,14018,14265,14505,14795,15082,15406,15733,16038,16371,16709,17051,17426,17784,18182,18580,18946,19377,19794,20237,20690,21129,21599,22072,22526,23028,23487,23966,24475,24972,25524,26065,26590,27115,27652,28250,28845,29395,30011,30597,31246,31866,32461,33119,33786,34491,35223,35920,36655,37345,38031,38760,39511,40239,40976,41663,42439,43234,44011,44741,45490,46328,47182,48014,48862,49741,50583,51489,52416,53334,54324,55309,56287,57287,58348,59434,60530,61570,62649,63828,65005,66226,67400,68542,69787,70992,72196,73478,74729,76022,77342,78631,79890,81230,82535,83820,85245,86678,88086,89540,91072,92538,94083,95594,97250,98905,100523,102258,103924,105663,107471,109385,111325,113165,115170,117171,119108,121027,123062,125095,127166,129269,131414,133493,135559,137671,139879,142049,144417,146783,149168,151622,154084,156616,159129,161698,164344,166989,169846,172690,175593,178557,181632,184669,187823,190996,194419,197892,201421,204963,208638,212387,216052,219887,223593,227464,231377,235352,239384,243418,247509,251659,255878,260079,264488,268940,273422,278062,282851,287660,292633,297649,302797,308040,313392,319025,324775,330615,336597,342649,348973,355365,361925,368556,375294,382013,388733,395689,402714,409764,417058,424405,431977,439603,447621,455463,463610,471943,480379,489160,497832,506584,515369,524337,533332,542419,551763,560990,570347,579756,589321,598935,608452,618143,628031,638022,648102,658456,668816,679237,689648,700149,710997,721855,732883,744072,755388,766921,778556,790513,802250,814342,826452,838977,851335,863645,876327,889028,902170,915633,929131,942827,956644,970989,985313,999795,1014348,1029061,1043990,1059231,1074486,1090120,1105921,1121972,1138328,1154528,1171069,1187763,1204529,1221633,1238735,1256143,1273860,1291887,1310209,1328507,1346890,1365362,1384073,1402869,1421736,1440766,1459967,1479228,1498653,1518512,1538141,1557943,1577791
1,1,1,1,1,2,2,3,4,8,10,12,13,14,16,19,19,19,23,26,27,30,33,35,42,48,51,55,59,66,74,80,90,96,104,111,119,125,133,145,150,157,165,170,180,190,205,212,215,227,237,243,257,267,277,289,304,311,319,325,339,348,359,373,384,392,406,415,428,441,451,469,481,491,503,514,531,541,551,559,571,578,587,594,606,614,628,633,648,661,672,684,691,705,719,732,746,758,769,781,792,802,822,833,845,856,872,887,906,926,944,968,991,1014,1033,1055,1078,1099,1125,1145,1162,1186,1207,1227,1247,1271,1285,1300,1315,1343,1361,1380,1397,1418,1438,1458,1476,1503,1525,1540,1553,1571,1586,1606,1618,1628,1644,1666,1678,1702,1716,1728,1736,1750,1770,1783,1801,1813,1834,1843,1859,1871,1883,1896,1906,1919,1932,1950,1967,1980,1989,2002,2017,2033,2042,2052,2065,2076,2090,2108,2116,2130,2141,2151,2169,2185,2203,2221,2234,2243,2256,2277,2288,2304,2315,2325,2348,2368,2380,2393,2409,2428,2448,2462,2471,2487,2500,2507,2517,2531,2548,2557,2565,2587,2602,2619,2634,2657,2674,2684,2699,2718,2731,2749,2773,2792,2809,2823,2847,2864,2885,2915,2952,2982,3012,3038,3061,3082,3112,3141,3170,3195,3225,3250,3282,3323,3355,3383,3413,3445,3485,3518,3552,3590,3621,3661,3697,3725,3757,3792,3831,3869,3914,3945,3985,4015,4053,4090,4131,4177,4224,4265,4306,4350,4398,4430,4474,4514,4570,4623,4671,4727,4795,4850,4926,4996,5073,5151,5238,5328,5406,5504,5595,5700,5794,5892,5999,6111,6224,6325,6425,6563,6679,6799,6922,7041,7164,7283,7424,7548,7685,7836,7983,8175,8355,8508,8674,8839,8981,9135,9300,9492,9695,9888,10083,10279,10463,10684,10911,11153,11396,11660,11919,12164,12453,12741,13065,13404,13722,14077,14399,14734,15104,15443,15806,16226,16641,17008,17400,17825,18224,18645,19043,19457,19877,20313,20773,21235,21712,22232,22740,23240,23805,24333,24930,25508,26117,26767,27464,28157,28836,29577,30353,31101,31830,32649,33450,34272,35056,35865,36667,37518,38359,39221,40098,40965,41801,42690,43581,44506,45440,46365,47347,48286,49219,50194,51181,52247,53270,54271,55283,56301,57389,58529,59723,60835,62010,63223,64413,65609,66863,68048,69363,70724,72106,73434,74832,76226,77635,79021,80426,82000,83556,85019,86621,88204,89787,91395,93011,94696,96380,98002,99636,101365,103015,104773,106585,108366,110194,112135,114052,116007,117976,119945,122036,124083,126254,128485,130641,132869,135119,137338,139715,141996,144388,146950,149482,152007,154446,157134,159756,162397,164998,167806,170614,173452,176485,179383,182398,185499,188647,191911,195180,198561,201914,205383,209030,212749,216546,220425,224321,228292,232355,236460,240816,245235,249626,254173,258732,263344,268042,272786,277595,282556,287537,292655,297755
1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,8,10,14,15,20,20,21,22,24,24,25,26,28,31,34,36,39,40,40,43,47,54,64,69,77,88,97,115,124,137,145,154,167,174,191,203,215,229,245,261,272,285,300,309,325,333,346,359,369,381,398,413,422,434,451,467,481,504,524,543,565,581,601,624,644,667,698,722,743,763,790,821,849,875,902,926,950,970,993,1013,1039,1066,1088,1106,1127,1143,1162,1177,1187,1202,1223,1239,1254,1261,1277,1292,1307,1316,1328,1341,1352,1367,1379,1386,1394,1403,1415,1424,1433,1441,1447,1455,1471,1480,1485,1489,1494,1505,1515,1520,1524,1528,1531,1540,1543,1549,1564,1571,1579,1582,1587,1594,1599,1607,1613,1617,1623,1624,1632,1635,1641,1648,1654,1661,1665,1668,1672,1683,1689,1697,1703,1710,1715,1721,1731,1738,1743,1751,1761,1772,1779,1787,1793,1807,1817,1823,1834,1842,1855,1864,1880,1893,1908,1926,1935,1950,1966,1985,2003,2024,2041,2053,2066,2073,2090,2111,2125,2137,2149,2161,2186,2216,2233,2251,2264,2281,2299,2314,2332,2354,2372,2394,2416,2432,2451,2480,2493,2515,2531,2551,2571,2600,2626,2649,2670,2698,2715,2733,2753,2777,2800,2826,2848,2878,2916,2942,2962,2985,3017,3038,3070,3101,3134,3172,3206,3252,3298,3344,3386,3430,3467,3516,3564,3615,3659,3720,3781,3844,3889,3931,3973,4024,4082,4134,4205,4268,4342,4416,4491,4567,4639,4707,4807,4903,5008,5099,5209,5311,5412,5514,5611,5717,5801,5896,6003,6104,6198,6300,6396,6500,6592,6694,6783,6882,6976,7083,7187,7283,7391,7494,7625,7750,7864,7999,8132,8252,8408,8542,8676,8815,8966,9103,9226,9381,9527,9701,9873,10034,10215,10407,10641,10834,11021,11236,11435,11653,11877,12164,12448,12756,13065,13381,13723,14054,14404,14751,15086,15424,15787,16108,16485,16841,17227,17610,18009,18425,18839,19257,19706,20173,20639,21079,21588,22039,22510,23012,23484,23937,24384,24817,25285,25740,26258,26728,27163,27651,28142,28642,29157,29642,30129,30623,31168,31691,32251,32831,33433,34029,34749,35454,36179,36860,37591,38308,39051,39785,40566,41303,42093,42846,43630,44386,45226,46074,46923,47742,48558,49474,50357,51230,52084,52926,53804,54697,55530,56437,57313,58196,59069,59963,60907,61823,62798,63843,64797,65802,66835,67859,68905,69991,71001,72049,73139,74277,75424,76560,77785,78958,80083,81317,82566,83794,84998,86272,87620,88927,90190,91505,92880,94268,95643,97118,98639,100150,101698,103300,104856,106480,108169,109932,111724,113538,115360,117250,119208,121111,123198,125254,127300,129435,131666,133989,136417,138842,141247,143734,146288,148925,151586,154282,157135,159930,162729,165600,168453,171467,174487,177514,180648,183932,187292,190603
1,1,1,1,1,1,1,1,1,2,3,5,5,5,5,7,9,11,11,11,11,13,14,17,18,19,20,24,25,29,30,33,35,36,38,42,44,50,56,62,66,66,70,73,74,78,84,90,96,106,113,119,127,133,140,152,164,174,179,190,200,211,223,231,245,259,277,297,308,322,337,354,367,384,401,423,447,464,493,510,527,551,568,589,619,642,661,690,716,740,772,811,841,860,896,924,958,988,1027,1056,1081,1117,1164,1202,1238,1272,1306,1349,1387,1435,1466,1505,1548,1601,1636,1687,1729,1774,1826,1864,1909,1963,2010,2054,2104,2160,2204,2259,2310,2372,2430,2490,2558,2610,2670,2729,2791,2865,2934,2995,3068,3150,3218,3292,3358,3434,3510,3601,3695,3786,3879,3961,4053,4163,4287,4397,4510,4634,4749,4875,4981,5101,5229,5336,5455,5558,5680,5817,5935,6066,6211,6345,6468,6588,6728,6869,7001,7160,7308,7471,7618,7780,7935,8103,8267,8445,8638,8804,8978,9185,9364,9548,9747,9951,10163,10367,10563,10772,10986,11214,11455,11662,11904,12124,12335,12590,12835,13085,13358,13597,13835,14107,14350,14595,14863,15158,15418,15731,16022,16310,16639,16972,17277,17594,17912,18284,18616,18954,19279,19618,19976,20333,20725,21115,21490,21873,22244,22629,23038,23441,23869,24303,24716,25111,25549,26017,26485,26972,27451,27939,28464,28969,29489,30007,30523,31033,31590,32131,32692,33286,33875,34499,35106,35752,36443,37145,37836,38592,39285,39996,40753,41502,42244,43058,43866,44674,45522,46352,47196,48129,49006,49989,51033,51995,52976,53979,54972,55969,57059,58114,59268,60471,61745,63064,64336,65652,67032,68455,69883,71296,72755,74277,75845,77388,79071,80799,82554,84284,86072,87893,89665,91538,93488,95423,97431,99396,101378,103486,105553,107737,109873,112024,114215,116390,118659,120920,123228,125608,127923,130359,132835,135321,137891,140522,143221,145924,148643,151455,154217,157027,160000,163046,166072,169077,172231,175440,178666,181947,185352,188819,192188,195905,199698,203478,207354,211359,215375,219448,223707,228082,232466,236949,241399,245880,250459,255125,259891,264648,269457,274388,279376,284462,289506,294563,299961,305293,310756,316206,321846,327477,333263,339140,345137,351193,357454,363813,370295,376739,383372,390190,397064,403999,411330,418718,426160,433833,441508,449340,457325,465615,473866,482161,490837,499528,508303,517205,526365,535487,544924,554479,564029,574070,584295,594490,604700,615153,625699,636316,647188,658374,669596,681077,692549,704196,715789,727703,739841,752035,764320,776830,789470,802381,815383,828306,841536,854832,868262,881907,896102,910114,924322,938863,953352,968109,983082,998279,1013588,1029073,1044838,1060747,1076769,1092988,1109419,1125985,1142615,1159530,1176177,1192916,1209918,1227214,1244632,1262048,1279861,1297682,1315641,1333879,1352373,1370849,1389718,1408641,1427738,1447088,1466343,1485958,1505505,1525654,1545479,1565524,1585922,1606648,1627345,1648135,1669161,1690304,1711571,1732881,1754479,1776292,1798249,1820112,1842415,1864643,1886630,1908833,1931208,1953775,1976729
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1,1,1,2,2,2,4,7,9,13,13,14,14,14,14,14,14,14,14,16,17,17,17,20,21,21,23,24,29,32,34,36,37,38,42,45,51,53,59,63,65,68,70,71,75,75,79,80,83,86,89,89,94,99,103,108,110,112,114,114,118,121,127,131,133,136,138,147,153,158,162,170,171,177,179,182,188,190,194,200,204,208,211,216,220,226,235,242,246,251,255,260,265,268,271,276,281,282,284,292,295,298,300,302,305,306,311,312,318,321,326,329,334,335,342,344,353,359,363,374,379,382,392,396,401,404,408,419,424,429,439,449,456,464,475,484,490,504,516,527,544,559,576,587,601,610,621,637,652,670,679,689,698,710,729,744,753,765,775,786,799,803,807,814,831,842,850,858,867,875,889,896,909,915,921,930,938,941,948,953,957,959,967,977,985,996,1003,1011,1017,1021,1025,1027,1038,1045,1051,1058,1067,1074,1082,1092,1102,1107,1112,1121,1134,1147,1157,1162,1170,1177,1186,1192,1205,1218,1235,1248,1262,1277,1285,1291,1309,1323,1331,1348,1361,1373,1388,1406,1416,1429,1447,1459,1466,1477,1484,1496,1507,1519,1528,1538,1545,1553,1567,1578,1588,1604,1614,1623,1638,1647,1655,1666,1675,1681,1695,1704,1720,1733,1748,1766,1779,1791,1803,1815,1830,1845,1859,1871,1886,1901,1913,1926,1935,1947,1969,1980,1991,2008,2028,2042,2054,2071,2082,2097,2109,2120,2128,2140,2163,2178,2195,2210,2225,2241,2264,2290,2309,2331,2344,2368,2390,2411,2436,2459,2481,2504,2531,2553,2570,2594,2624,2648,2675,2700,2714,2737,2753,2783,2805,2838,2864,2886,2915,2939,2972,3010,3037,3063,3088,3114,3139,3172,3207,3235,3261,3287,3318,3342,3379,3419,3449,3485,3529,3568,3614,3658,3691,3726,3769,3817,3849,3897,3938,3982,4022,4065,4119,4164,4209,4259,4311,4349,4406,4447,4510,4549,4596,4647,4691,4760,4823,4888,4956,5021,5092,5153,5225,5291,5371,5438,5520,5595,5657,5740,5819,5896,5986,6074,6163,6257,6353,6448,6563,6673,6784,6897,7026,7139,7283,7401,7538,7663,7800,7943,8087,8222,8361,8509,8679,8847,9014,9206,9388,9552,9712,9878,10059,10217,10381,10557,10735,10907,11080,11238,11393,11568,11733,11888,12052,12208,12399,12586,12777,12965,13167,13391,13593,13811,14006,14201,14412,14645,14880,15103,15333,15567,15810,16040,16292,16561,16821,17049,17306,17567,17839,18122,18380,18658,18978,19288,19630,19967,20295,20644,21031,21405,21805,22240,22695,23137,23591,24053,24553,25037,25592,26128,26630,27159,27678,28191,28731,29275,29825,30327,30888,31445,32012,32554,33109,33711,34288,34832,35414,36025,36638,37253,37897
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1,1,1,1,1,1,1,3,3,3,6,7,7,7,7,8,9,13,13,14,16,20,23,24,26,36,39,42,46,55,58,64,68,72,75,77,82,87,92,98,99,105,110,114,118,126,129,129,137,143,145,148,152,153,161,169,172,179,180,184,188,189,190,196,198,205,208,210,213,217,219,221,228,234,241,248,255,262,267,272,277,291,299,304,312,316,324,333,342,353,363,373,382,391,404,414,422,428,444,451,454,469,478,489,500,507,516,527,534,543,556,560,568,578,593,602,612,628,634,644,654,672,681,688,696,712,724,737,744,754,761,768,782,792,807,813,827,837,850,861,877,889,907,912,927,941,960,981,997,1011,1026,1047,1061,1074,1088,1110,1125,1138,1157,1172,1195,1206,1216,1237,1255,1267,1282,1296,1307,1319,1332,1343,1351,1360,1372,1386,1393,1402,1412,1422,1430,1439,1449,1458,1466,1473,1478,1484,1491,1501,1503,1508,1516,1524,1528,1531,1536,1538,1545,1547,1555,1561,1573,1579,1582,1586,1599,1607,1617,1629,1639,1653,1659,1674,1684,1694,1700,1713,1726,1733,1739,1751,1757,1761,1764,1769,1775,1788,1800,1807,1820,1830,1841,1856,1865,1877,1885,1897,1909,1931,1942,1964,1983,1999,2015,2031,2052,2075,2096,2112,2126,2147,2176,2206,2234,2250,2273,2296,2316,2350,2380,2408,2443,2480,2516,2562,2612,2652,2690,2729,2770,2809,2861,2915,2963,3001,3043,3095,3147,3194,3241,3290,3347,3390,3442,3500,3549,3609,3663,3719,3780,3835,3893,3963,4036,4111,4174,4240,4302,4390,4479,4559,4647,4736,4819,4926,5017,5119,5240,5361,5463,5577,5705,5818,5936,6060,6169,6292,6420,6551,6687,6847,6976,7126,7264,7437,7601,7745,7926,8097,8259,8433,8593,8741,8907,9072,9240,9452,9647,9833,10041,10228,10440,10647,10845,11057,11239,11451,11658,11834,12064,12274,12499,12760,12977,13232,13485,13724,13976,14237,14531,14811,15085,15360,15661,15938,16254,16564,16874,17217,17500,17827,18166,18506,18861,19197,19570,19907,20256,20607,20954,21317,21664,22038,22433,22838,23247,23690,24108,24564,25049,25521,25998,26483,27026,27546,28076,28628,29249,29832,30378,31003,31626,32288,33001,33714,34389,35126,35884,36678,37484,38247,39058,39879,40661,41483,42320,43156,43977,44810,45643,46531,47426,48307,49200,50089,50967,51922,52938,54040,55066,56123,57253,58420,59615,60857,62065,63244,64466,65756,67046,68315,69611,70952,72352,73714,75101,76572,78027,79463,81017,82634,84164,85754,87339,89122,90885,92678,94463,96232,98079,99929,101881,103912,105840,107943,110009,112259,114454,116774,119185,121619,124123,126496,128980,131549,134114,136877,139498,142321,145108,148055,150929,153913,156840,159887,162997,166099,169247,172544,175926,179326,182864,186332,189853,193452,197233
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1,1,1,1,3,5,5,5,6,8,9,9,9,11,11,12,21,23,23,26,29,33,38,39,40,44,49,53,56,61,67,71,82,87,95,98,106,109,114,118,122,126,130,133,139,142,149,152,160,168,174,183,186,193,197,204,213,223,234,239,243,256,266,276,283,290,298,316,327,336,348,358,363,369,383,386,392,403,412,428,438,457,463,468,480,492,503,520,538,555,569,590,607,621,645,659,673,683,702,728,747,776,803,838,862,894,923,952,973,1000,1048,1071,1110,1140,1172,1211,1250,1298,1337,1380,1426,1472,1518,1563,1603,1648,1705,1760,1827,1874,1925,1986,2049,2110,2168,2241,2299,2374,2460,2540,2630,2727,2833,2950,3058,3184,3317,3445,3582,3719,3850,3991,4139,4282,4411,4555,4692,4834,4991,5159,5288,5428,5575,5714,5861,6013,6160,6312,6476,6641,6817,6983,7136,7310,7494,7624,7795,7951,8125,8304,8507,8701,8872,9051,9236,9447,9648,9864,10111,10335,10555,10786,11010,11212,11411,11627,11864,12065,12257,12464,12654,12847,13056,13282,13501,13723,14009,14227,14463,14732,15001,15238,15510,15795,16086,16395,16687,16990,17309,17624,17956,18265,18565,18915,19243,19615,19975,20352,20698,21039,21377,21758,22145,22545,22892,23293,23704,24129,24574,25021,25479,25944,26441,26891,27426,27940,28471,29013,29517,30027,30624,31226,31791,32384,33009,33586,34226,34803,35408,36091,36738,37432,38158,38856,39597,40318,41044,41793,42586,43359,44154,44959,45797,46709,47544,48423,49337,50254,51218,52204,53152,54153,55174,56263,57397,58507,59628,60755,61951,63131,64380,65619,66927,68234,69537,70825,72128,73449,74812,76194,77535,78901,80312,81737,83198,84752,86381,87962,89568,91292,93045,94785,96591,98437,100270,102117,104087,106009,108023,110024,112025,114003,116128,118127,120242,122377,124488,126642,128806,131008,133258,135485,137736,140053,142441,144783,147298,149654,152121,154656,157204,159857,162560,165315,168156,171013,173857,176772,179738,182751,185737,188875,191912,195116,198212,201390,204630,207864,211287,214707,218124,221596,225157,228700,232331,236086,239897,243661,247699,251830,256020,260324,264743,269279,273787,278286,283093,287739,292516,297376,302433,307410,312601,317695,323008,328342,333755,339231,344964,350877,356886,362809,369113,375535,382043,388619,395199,402054,408704,415649,422592,429648,436773,444154,451535,458933,466361,474080,481736,489515,497264,505125,513078,521248,529459,537574,545958,554424,563245,572166,581048,590016,599321,608751,618206,627743,637457,647614,657564,667571,677678,688147,698658,709576,720383,731364,742440,753699,765071,776567,788538,800348,812403,824605,836991,849502,862351,875128,888192,901402,914919,928807,942729,956603,970499,984513,998920,1013658,1028216,1042979,1057752,1072586,1087753,1103128,1118609,1134551,1150419,1166422,1182613,1198908,1215564,1232032,1249039,1265909,1282822,1300197,1317724,1335210,1352652,1370393,1388237,1405906,1423832,1441761,1459812,1478184,1496758,1515221,1534021,1552942,1571691,1590353,1609359,1628544,1647915,1666921,1686280
1,1,2,5,6,8,10,10,11,11,11,11,11,12,13,15,18,18,18,19,19,21,22,22,23,23,23,25,28,28,28,28,30,31,36,37,38,41,45,49,50,56,63,66,70,72,74,75,80,86,92,97,100,108,112,113,117,119,122,126,131,133,137,141,144,149,151,156,162,165,169,174,175,178,180,185,187,189,191,192,199,206,209,214,214,216,221,224,226,232,245,251,252,258,262,265,272,287,301,306,314,329,348,369,385,401,422,439,454,473,486,504,525,542,563,571,588,604,630,646,664,680,694,709,718,730,739,754,773,789,798,811,821,832,841,850,860,875,887,892,899,907,916,927,934,941,950,957,963,968,973,985,994,997,1001,1010,1017,1022,1036,1043,1055,1071,1080,1086,1099,1114,1118,1129,1142,1149,1159,1174,1187,1207,1218,1234,1248,1270,1283,1302,1321,1341,1366,1380,1392,1401,1424,1442,1455,1482,1507,1530,1545,1573,1591,1607,1623,1646,1667,1682,1713,1730,1749,1776,1798,1810,1827,1846,1864,1878,1896,1919,1938,1957,1975,1995,2015,2042,2072,2099,2131,2156,2180,2217,2263,2312,2343,2382,2420,2455,2492,2540,2576,2636,2688,2740,2785,2836,2870,2918,2971,3030,3080,3151,3215,3272,3326,3388,3452,3520,3583,3666,3747,3825,3883,3956,4046,4142,4218,4318,4401,4489,4564,4679,4760,4848,4913,5015,5103,5201,5296,5394,5474,5579,5667,5760,5854,5977,6100,6200,6312,6426,6541,6680,6806,6934,7059,7185,7323,7471,7623,7789,7932,8090,8257,8419,8561,8732,8883,9065,9215,9410,9559,9752,9905,10122,10336,10506,10744,10965,11196,11462,11711,11960,12222,12487,12776,13040,13317,13628,13907,14172,14466,14769,15093,15357,15654,15965,16302,16619,16970,17326,17691,18037,18390,18737,19089,19471,19854,20258,20658,21055,21476,21898,22316,22773,23240,23718,24200,24717,25177,25694,26209,26761,27385,27968,28584,29187,29816,30441,31137,31770,32486,33165,33872,34601,35286,36053,36780,37529,38266,38998,39835,40652,41489,42375,43301,44141,45081,46085,47105,48158,49239,50320,51440,52616,53756,54945,56180,57402,58681,59946,61253,62524,63846,65212,66612,68079,69470,70922,72381,73889,75397,77029,78657,80314,81958,83620,85367,87151,89014,90799,92628,94452,96407,98399,100359,102519,104563,106679,108826,110939,113112,115315,117551,119783,122020,124368,126723,129106,131498,134035,136646,139174,141733,144349,146997,149722,152505,155272,158113,160991,163897,166835,169799,172887,176000,179247,182558,185880,189139,192570,196064,199612,203147,206840,210628,214409,218310,222129,226148,230101,234047,238216,242502,246773,251175,255534,260017,264616,269411,274144,279006,283837,288772,293764,298968,304108,309461,314990,320513,326123,331776,337766,343639,350013,356371,362693,369288,376074,382867,389830,396883,404025,411186,418525,426000
1,1,1,1,1,2,3,4,5,6,7,7,9,9,13,13,13,13,13,18,22,25,28,29,31,37,38,43,47,56,59,62,63,66,71,72,74,83,85,89,91,100,104,107,112,117,125,132,139,144,152,159,167,173,179,188,204,213,222,230,237,244,255,261,272,281,285,300,310,324,336,351,366,382,394,405,415,424,435,446,455,465,490,503,511,523,539,554,575,588,601,623,635,647,658,673,680,704,721,738,758,783,796,811,831,854,887,918,959,998,1040,1087,1136,1195,1254,1321,1421,1533,1653,1770,1902,2032,2155,2271,2410,2529,2627,2725,2829,2931,3027,3140,3232,3329,3414,3513,3600,3694,3778,3866,3932,4015,4097,4173,4241,4311,4376,4446,4526,4611,4695,4762,4828,4898,4972,5043,5123,5198,5265,5339,5428,5499,5570,5656,5725,5802,5884,5957,6050,6150,6259,6357,6444,6539,6626,6726,6819,6912,7012,7095,7196,7300,7390,7493,7603,7709,7824,7944,8068,8235,8372,8540,8680,8810,8957,9111,9236,9401,9547,9686,9827,9978,10123,10250,10376,10533,10679,10817,10974,11129,11282,11446,11594,11760,11910,12111,12273,12464,12671,12899,13129,13368,13612,13850,14109,14377,14647,14935,15199,15474,15777,16049,16321,16622,16907,17199,17457,17751,18011,18297,18588,18889,19183,19473,19755,20045,20385,20722,21039,21376,21700,22045,22387,22794,23187,23575,23954,24375,24789,25220,25684,26147,26602,27093,27616,28138,28655,29182,29733,30263,30835,31427,32011,32617,33236,33854,34494,35164,35804,36555,37248,37899,38614,39327,40055,40817,41638,42429,43217,44066,44917,45786,46718,47570,48529,49404,50344,51341,52344,53332,54401,55515,56573,57726,58908,60134,61345,62585,63864,65176,66521,67936,69398,70840,72227,73666,75122,76644,78239,79844,81543,83299,85012,86793,88569,90389,92253,94089,95983,97893,99927,101912,103963,106045,108177,110369,112581,114930,117320,119768,122172,124633,127121,129682,132424,135142,138034,140967,144048,147065,150262,153523,156934,160409,164027,167698,171416,175288,179232,183259,187235,191129,195289,199613,203896,208438,213003,217660,222240,227039,231880,236719,241730,246785,251924,257075,262372,267767,273499,279309,285159,291279,297502,303689,310057,316514,323064,329648,336399,343409,350493,357629,365034,372323,379672,387131,394692,402451,410273,418106,426065,434113,442262,450591,458879,467488,476124,484801,493710,502765,511961,521347,530721,540643,550555,560486,570696,581049,591619,602287,613014,623880,634998,646048,657281,668487,679797,691222,702842,714607,726598,738660,751023,763464,775951,788830,801693,814875,828278,841797,855438,869426,883584,897812,912239,926780,941382,956111,971199,986151,1001310,1016389,1031752,1047147,1062898,1078840,1094678,1110916,1127494,1144124,1160869,1177847,1194712,1211631,1228965,1246468,1264398,1282308,1300028,1318259,1336443,1354571,1372841,1391154,1409588,1428338,1446853,1465664,1484749,1503790,1523237,1542875,1562566,1582356,1602205,1622429,1642862,1663382,1684085,1704967,1725922,1746856,1768455,1789669,1811127,1832950,1854662
1,1,1,2,3,3,4,6,6,6,8,8,9,9,12,15,15,16,19,21,23,23,24,26,26,27,29,31,32,35,36,39,41,44,45,47,52,56,56,58,60,62,68,70,70,74,76,80,89,91,95,98,102,105,109,113,116,120,124,129,132,134,137,143,147,151,159,167,173,176,178,184,185,190,191,203,210,213,218,222,226,230,232,239,244,253,257,258,264,269,276,283,294,298,308,317,329,334,340,345,354,358,358,364,378,382,390,398,406,412,419,427,436,445,457,474,489,499,511,531,550,569,581,602,625,647,662,685,711,737,759,779,799,820,836,861,881,912,934,961,989,1015,1049,1083,1111,1136,1169,1196,1243,1279,1312,1357,1404,1443,1495,1540,1598,1652,1703,1762,1825,1883,1949,1991,2049,2125,2205,2268,2343,2432,2511,2599,2689,2772,2882,2975,3103,3210,3336,3460,3559,3693,3818,3959,4082,4221,4369,4513,4659,4813,4949,5080,5229,5392,5557,5735,5918,6086,6285,6481,6684,6893,7112,7339,7613,7898,8165,8468,8750,9081,9377,9676,10013,10357,10694,11036,11401,11730,12079,12420,12797,13144,13536,13934,14293,14702,15099,15549,15997,16504,17007,17512,17995,18569,19143,19741,20392,21033,21667,22354,23054,23782,24560,25338,26106,26943,27773,28514,29287,30071,30900,31732,32616,33441,34257,35069,35861,36725,37582,38477,39408,40315,41302,42297,43268,44289,45330,46396,47497,48548,49710,50872,52102,53391,54733,56064,57387,58786,60200,61588,63002,64433,65931,67418,68996,70574,72207,73806,75505,77224,78988,80811,82696,84614,86486,88423,90427,92467,94644,96800,98943,101109,103401,105723,108142,110626,113163,115680,118242,120841,123565,126231,129009,131858,134649,137390,140356,143256,146191,149200,152270,155459,158760,162088,165502,168929,172465,176004,179642,183230,186921,190728,194570,198517,202624,206656,210745,214870,219123,223419,227702,232158,236422,241009,245624,250211,254783,259651,264542,269645,274590,279716,284857,290180,295577,301106,306833,312703,318651,324776,331017,337353,343654,350040,356402,362767,369400,375980,382864,389732,396664,403603,410590,417805,425214,432731,440294,447784,455537,463474,471520,479635,487807,496201,504430,512837,521334,529897,538652,547488,556529,565605,574686,583942,593395,602822,612481,622097,631765,641545,651420,661502,671722,682082,692355,702957,713682,724292,735208,745798,756907,767994,779243,790586,802041,813414,825079,836722,848747,860794,873025,885452,897999,910858,923753,936855,950147,963364,976830,990544,1004268,1018257,1032222,1046178,1060249,1074524,1088960,1103441,1118048,1132839,1147721,1162836,1178205,1193543,1208839,1224511,1240326,1256219,1272479,1288760,1305055,1321725,1338287,1355200,1372180,1389527,1406696,1424323,1441809,1459626,1477421,1495492,1513624,1532004,1550561,1569214,1588367,1607564,1626352,1646013,1665452,1684847,1704651,1724509,1744416,1764785,1785059,1805432,1826131,1846764,1867703,1888556,1909479,1930440,1951363,1972457,1993640,2015115,2036230,2057901,2079508,2100873,2122769,2144343,2166211,2187807,2209685
1,1,1,1,1,1,1,1,1,3,3,4,4,5,6,8,12,14,15,19,20,20,22,23,28,32,35,39,42,46,51,54,62,66,72,77,85,90,94,97,101,107,112,117,121,124,132,136,138,144,150,152,153,159,163,169,174,180,187,196,202,208,212,218,221,223,226,235,241,250,253,255,256,265,272,277,282,291,300,303,307,310,319,324,334,340,349,363,378,389,394,404,414,428,438,449,462,469,494,506,522,533,549,563,572,592,618,631,654,676,700,720,745,776,800,822,853,867,882,905,928,947,967,995,1017,1045,1062,1082,1100,1118,1141,1166,1189,1214,1236,1260,1288,1310,1333,1358,1385,1406,1444,1460,1474,1504,1531,1560,1586,1612,1631,1653,1681,1700,1722,1755,1794,1816,1832,1851,1873,1889,1910,1943,1964,2005,2026,2058,2093,2124,2155,2196,2229,2253,2282,2321,2354,2389,2424,2467,2500,2547,2584,2626,2670,2702,2742,2783,2826,2874,2912,2953,2995,3049,3105,3155,3198,3250,3308,3361,3412,3467,3540,3597,3652,3718,3782,3850,3920,3990,4055,4125,4206,4298,4383,4479,4570,4647,4716,4818,4940,5058,5198,5357,5517,5657,5802,5988,6152,6333,6566,6764,6963,7153,7357,7577,7763,7984,8208,8431,8646,8884,9093,9304,9509,9731,9957,10193,10412,10672,10883,11097,11357,11586,11830,12095,12333,12593,12842,13075,13321,13589,13845,14128,14412,14680,14973,15263,15561,15845,16156,16464,16796,17134,17457,17758,18091,18429,18781,19135,19501,19894,20334,20741,21161,21596,21999,22508,23030,23612,24250,24879,25502,26212,26949,27708,28445,29311,30164,31111,32047,32941,33872,34853,35843,36823,37985,39039,40146,41300,42535,43691,44803,46069,47322,48608,49921,51154,52477,53804,55099,56436,57825,59156,60550,61951,63410,64814,66318,67817,69346,70844,72364,73907,75510,77109,78710,80358,82084,83856,85587,87414,89295,91233,93179,95126,97049,99025,100950,103077,105233,107406,109545,111736,114008,116364,118775,121188,123627,126229,128782,131444,134200,136959,139696,142556,145412,148243,151299,154386,157502,160523,163647,166844,170012,173256,176585,179987,183347,186755,190158,193610,197068,200527,204078,207696,211446,215266,219175,223064,227193,231296,235473,239765,244094,248619,253068,257612,262352,267118,271918,276860,281905,286918,291972,297076,302418,307825,313350,319024,324685,330617,336605,342629,348807,355159,361606,368074,374797,381670,388498,395236,402272,409330,416608,423711,430956,438322,445937,453509,461160,469077,477140,485103,493415,501812,510143,518576,527190,535944,545025,554020,563306,572621,582097,591550,601241,611047,621025,631021,641190,651513,662119,672782,683819,694755,705724,716864,728024,739293,750763,762283,773952,785627,797676,809710,821946,834147,846537,859018,871663,884561,897398,910472,923787,937203,950975,964612,978355,992431,1006264,1020481,1034814,1049262,1063980,1078590,1093419,1108605,1123644,1139078,1154583,1170155,1186015,1202096,1218307,1234740,1251329
1,1,1,1,1,2,2,3,3,5,5,5,5,5,5,5,6,7,8,11,11,11,11,13,15,17,18,19,21,23,30,36,38,41,45,47,52,59,62,68,73,80,86,93,99,107,115,120,125,133,140,143,151,152,155,162,167,169,178,182,188,191,196,202,212,216,217,220,223,229,235,238,244,249,255,259,261,265,269,277,280,285,287,290,298,302,305,308,312,315,325,328,336,341,346,348,354,361,363,370,375,377,379,382,385,388,388,392,397,399,400,401,403,403,405,409,414,415,416,416,419,420,420,423,424,427,427,429,429,431,434,435,442,446,449,450,457,463,466,472,474,475,476,479,484,493,503,512,517,525,531,534,539,546,553,560,568,576,582,592,600,607,620,632,635,643,651,662,672,684,686,696,708,722,730,732,740,750,756,763,770,778,784,788,799,808,816,824,832,834,838,847,853,858,863,868,875,879,885,891,898,906,914,919,923,929,935,941,949,958,966,973,981,985,991,993,1001,1006,1015,1021,1027,1030,1037,1044,1049,1055,1075,1085,1091,1101,1120,1128,1134,1142,1153,1165,1171,1179,1186,1199,1209,1218,1229,1241,1252,1260,1269,1278,1290,1306,1314,1323,1338,1355,1375,1393,1411,1426,1441,1454,1471,1486,1501,1513,1536,1552,1563,1578,1595,1610,1623,1640,1653,1668,1692,1715,1727,1742,1755,1773,1788,1806,1817,1837,1850,1870,1896,1922,1945,1964,1996,2019,2048,2069,2099,2119,2141,2166,2197,2224,2263,2289,2314,2339,2369,2395,2445,2478,2520,2551,2580,2617,2641,2669,2694,2719,2748,2775,2797,2822,2853,2883,2912,2949,2984,3013,3051,3083,3118,3149,3190,3221,3257,3292,3333,3361,3393,3437,3477,3517,3547,3586,3629,3678,3720,3763,3798,3844,3893,3937,3989,4033,4075,4118,4157,4202,4256,4291,4333,4383,4435,4474,4514,4568,4596,4637,4689,4730,4775,4807,4844,4886,4912,4951,4983,5023,5064,5099,5151,5199,5232,5282,5321,5370,5416,5451,5519,5558,5604,5645,5698,5743,5783,5825,5877,5933,5986,6046,6101,6151,6234,6304,6386,6483,6582,6690,6786,6890,6996,7092,7214,7320,7446,7583,7688,7795,7913,8018,8115,8209,8325,8427,8527,8653,8756,8855,8964,9049,9158,9256,9358,9463,9549,9655,9756,9855,9960,10063,10160,10257,10354,10476,10577,10688,10794,10895,11003,11109,11229,11329,11430,11543,11659,11770,11872,11989,12078,12188,12305,12432,12541,12649,12758,12868,12993,13116,13249,13365,13492,13622,13748,13863,13973,14072,14197,14327,14456,14570,14682,14813,14937,15065,15193,15337,15470,15583,15721,15847,15963,16089,16228,16353,16500,16644,16788,16939,17109
1,1,1,1,2,6,6,7,10,12,14,16,18,20,23,25,27,30,34,34,37,40,43,50,53,56,62,63,66,70,77,80,84,93,94,96,102,108,113,115,119,124,127,136,138,142,145,149,153,159,165,172,175,178,183,186,188,188,188,192,196,199,205,206,209,212,214,220,224,228,228,231,238,243,246,251,259,266,270,273,277,283,294,299,305,309,316,323,336,342,351,357,363,366,372,379,389,399,413,420,431,439,448,462,464,469,479,488,494,498,514,520,530,545,559,566,583,590,602,605,616,630,645,653,661,674,687,702,724,737,747,759,780,797,808,817,835,850,863,883,895,914,927,940,961,987,1002,1022,1040,1055,1079,1102,1119,1136,1163,1177,1203,1227,1252,1268,1294,1315,1334,1355,1379,1405,1433,1461,1500,1519,1552,1586,1612,1636,1672,1709,1738,1774,1803,1839,1883,1919,1965,2023,2065,2132,2180,2233,2299,2372,2443,2514,2597,2684,2773,2852,2936,3034,3109,3189,3277,3357,3460,3549,3657,3750,3824,3923,4003,4109,4215,4300,4396,4499,4601,4717,4820,4939,5060,5177,5313,5436,5563,5715,5868,6039,6180,6347,6521,6692,6854,7011,7168,7345,7516,7704,7879,8095,8246,8459,8643,8855,9046,9286,9515,9781,10077,10348,10644,10897,11173,11446,11741,12065,12369,12704,13015,13353,13642,13964,14259,14615,14918,15234,15595,15911,16257,16596,16912,17266,17631,18006,18343,18687,19053,19421,19804,20230,20666,21103,21582,22032,22500,22986,23515,24010,24535,25107,25696,26255,26845,27401,27973,28597,29224,29896,30541,31188,31850,32619,33355,34082,34819,35539,36265,36998,37756,38528,39304,40119,40915,41746,42585,43460,44316,45227,46227,47140,48120,49089,50105,51091,52096,53196,54253,55360,56454,57494,58608,59723,60808,61974,63104,64302,65466,66660,67861,69082,70263,71567,72839,74164,75477,76804,78015,79411,80809,82238,83649,85152,86702,88314,89812,91457,93102,94862,96617,98416,100175,102008,103848,105767,107686,109689,111738,113799,115906,118051,120248,122498,124792,127044,129303,131674,134069,136534,138954,141458,144043,146749,149410,152194,154981,157909,160859,163738,166819,169886,173103,176379,179677,183061,186471,190027,193558,197271,201116,204965,208966,213022,217183,221428,225763,230132,234581,239080,243652,248306,253068,257942,262907,267902,272836,278059,283233,288518,293787,299251,304842,310580,316436,322445,328544,334642,340787,347240,353710,360439,367264,374184,381296,388520,395815,403374,410830,418409,426060,433802,441545,449589,457680,465875,474154,482843,491523,500272,509127,518033,527108,536358,545813,555297,564848,574485,584220,593881,603712,613783,624065,634116,644398,654810,665471,676087,686939,697927,709005,720251,731810,743309,755010,766983,779202,791390,803738,816463,829153,842022,854874,867920,881041,894401,907781,921439,935182,948926,962881,977122,991695,1006186,1020828,1035502,1050235,1065364,1080539,1095754,1111006
1,1,1,1,1,2,3,4,6,7,9,11,14,16,16,22,24,27,32,35,40,45,54,57,63,71,74,79,85,91,98,105,111,120,130,140,151,161,170,179,187,198,200,206,211,217,224,234,242,251,266,278,291,302,316,325,337,354,375,385,400,426,444,469,488,524,560,594,631,664,699,722,753,788,808,832,868,898,923,960,988,1018,1052,1089,1116,1142,1180,1207,1234,1273,1300,1328,1357,1388,1422,1450,1494,1540,1580,1625,1671,1701,1760,1803,1856,1919,1953,2022,2077,2148,2226,2302,2373,2462,2543,2632,2725,2834,2943,3039,3136,3235,3342,3443,3549,3667,3792,3904,4018,4121,4224,4350,4486,4637,4789,4915,5051,5225,5369,5523,5696,5842,6003,6177,6347,6561,6727,6946,7156,7352,7556,7784,8010,8217,8463,8717,8987,9287,9592,9888,10185,10494,10799,11145,11532,11910,12256,12595,12940,13324,13725,14097,14518,14921,15353,15766,16179,16602,17096,17564,18065,18651,19209,19738,20277,20813,21404,22040,22668,23309,23929,24630,25320,25991,26682,27357,28100,28834,29646,30461,31234,32085,32911,33808,34726,35657,36613,37520,38604,39643,40661,41745,42869,44105,45286,46470,47692,48963,50233,51516,52861,54208,55618,57001,58446,59898,61391,62921,64458,66042,67562,69142,70751,72414,74062,75812,77547,79332,81125,82922,84813,86677,88588,90586,92614,94744,96868,99006,101188,103361,105618,108084,110534,113008,115477,118033,120731,123471,126250,129039,131905,134905,137814,140857,143933,147090,150255,153556,156901,160341,163782,167273,170862,174531,178173,181939,185818,189814,193739,197717,201750,205774,209871,214133,218403,222783,227307,231738,236221,240860,245691,250546,255726,260888,266211,271418,276838,282301,287799,293483,299281,305083,311147,317079,323214,329444,335780,342137,348585,355096,361862,368578,375336,382297,389216,396309,403609,411243,418819,426543,434333,442136,450386,458794,467234,475722,484701,493722,502831,512083,521349,530910,540681,550655,560610,570778,581124,591542,602209,612967,624004,634986,646144,657404,668607,679692,691230,702963,714827,727109,739384,751776,764142,776626,789292,802026,814740,827566,840950,854255,867785,881372,895262,909150,923484,938191,952919,967764,982585,997780,1013066,1028564,1044178,1060023,1076009,1092102,1108512,1125144,1141904,1158783,1175407,1192445,1209758,1226873,1244418,1261941,1279857,1297733,1315547,1333620,1351708,1370199,1388386,1406872,1425608,1444239,1463081,1481998,1500962,1520409,1539509,1558890,1578470,1598048,1617772,1637870,1657961,1678116,1698566,1719334,1740247,1760898,1781801,1802883,1824268,1845919,1867477,1889169,1911128,1933108,1955399,1977607,1999943,2022371,2044870,2067654,2090487,2112920,2135891,2158763,2181756,2204907,2228136,2251472,2274945,2298581,2322373,2346165,2369885,2393843,2418060,2442358,2466908,2491206,2515861,2540730,2565845,2590844,2615791,2641291,2666395,2691645,2717119,2742959,2768393,2794082,2819811,2845980,2872138,2898400,2924691,2950785,2977099,3003626,3030160,3056635,3083197,3110161,3136897,3163495,3190778,3218016,3245223,3272725,3300103,3327711,3355108,3382529,3409997,3437738,3465109,3492952,3520665,3548541,3576035,3603938,3631752,3659539,3687526,3715405,3742945,3771297,3799258,3827189,3855267,3883606,3911867
1,1,1,1,1,3,4,5,7,7,9,9,9,11,13,15,17,17,20,22,23,23,27,28,30,32,35,40,40,40,42,42,43,44,45,46,49,55,57,60,62,65,65,69,71,73,75,78,78,83,86,89,91,96,99,102,103,105,107,109,113,116,118,119,121,122,125,126,129,130,135,142,145,147,147,150,151,153,156,159,161,162,162,162,162,162,164,166,167,168,168,170,170,170,171,172,174,175,175,175,175,175,175,175,176,176,177,177,178,178,178,178,178,179,180,180,180,180,181,182,185,186,187,187,187,187,187,188,188,189,190,190,190,190,190,191,192,192,194,195,197,199,199,199,199,199,199,199,199,199,201,204,204,208,209,209,209,210,210,211,213,215,216,217,219,221,221,222,226,227,231,236,239,240,244,249,254,260,264,268,270,274,280,283,291,294,301,307,311,314,318,325,331,334,341,344,351,356,359,363,366,371,377,379,381,385,387,390,393,394,398,401,407,410,411,413,418,423,427,432,432,434,437,439,444,448,449,455,458,463,466,472,478,483,486,498,507,519,525,532,540,555,559,564,566,575,589,597,610,622,634,649,667,681,699,714,727,737,754,771,790,808,821,835,851,868,886,910,932,952,967,985,1001,1019,1034,1047,1065,1080,1093,1114,1129,1148,1176,1198,1221,1244,1252,1274,1292,1313,1328,1348,1372,1391,1408,1429,1447,1464,1482,1500,1520,1540,1574,1596,1626,1656,1680,1715,1746,1766,1796,1843,1886,1930,1978,2025,2077,2137,2214,2278,2345,2413,2507,2592,2690,2775,2859,2954,3040,3120,3210,3325,3447,3574,3703,3827,3972,4097,4217,4359,4504,4639,4765,4900,5027,5146,5240,5354,5494,5616,5735,5875,5999,6132,6284,6403,6547,6695,6842,6979,7132,7307,7446,7599,7759,7922,8106,8269,8442,8582,8754,8939,9098,9294,9484,9685,9865,10082,10283,10465,10672,10885,11118,11357,11566,11803,12055,12308,12520,12764,13039,13308,13564,13818,14085,14347,14587,14850,15142,15401,15663,15941,16231,16538,16844,17154,17441,17729,18055,18404,18733,19037,19374,19728,20107,20478,20803,21155,21535,21866,22223,22552,22912,23303,23693,24065,24445,24841,25231,25604,25964,26343,26767,27140,27520,27944,28329,28735,29164,29585,30022,30480,30905,31318,31741,32182,32665,33142,33609,34089,34569,35031,35532,36065,36580,37119,37664,38241,38801,39381,39948,40553,41178,41792,42488,43183,43850,44521,45226,45898,46584,47259,47997,48696,49439,50212,51024,51821,52702,53567,54425,55300,56188,57113,58085,59108,60186,61282,62414,63520,64719,66079,67318,68610,69924,71342,72672
1,1,2,2,3,3,3,4,4,5,6,8,10,11,11,13,13,15,15,17,22,23,24,24,25,27,31,31,34,34,34,35,39,43,48,49,50,51,53,54,57,62,66,70,74,76,82,86,90,94,96,102,108,114,117,119,126,132,139,144,152,159,164,169,175,185,190,199,206,210,216,219,227,234,240,249,252,254,263,273,280,287,295,303,307,311,316,319,323,328,337,341,343,350,356,359,368,377,385,391,402,410,421,431,439,449,457,465,478,493,508,523,540,556,568,577,584,593,607,615,622,636,639,648,656,666,680,689,698,705,713,721,733,745,750,752,757,761,768,773,778,781,789,790,795,800,806,812,814,818,823,834,843,849,854,859,861,869,873,879,888,892,896,904,910,923,925,939,944,957,965,973,979,990,997,1005,1017,1023,1034,1048,1055,1064,1075,1084,1099,1111,1120,1131,1137,1142,1151,1158,1166,1174,1183,1197,1201,1205,1216,1219,1231,1239,1244,1249,1255,1260,1272,1277,1281,1287,1293,1302,1311,1318,1325,1335,1342,1348,1355,1363,1368,1375,1379,1385,1391,1396,1402,1415,1423,1429,1433,1439,1444,1452,1458,1464,1472,1480,1487,1494,1503,1509,1518,1528,1533,1542,1552,1558,1562,1565,1574,1583,1590,1595,1605,1608,1612,1620,1635,1638,1645,1655,1667,1676,1683,1695,1707,1713,1719,1727,1740,1752,1768,1783,1798,1807,1821,1841,1855,1867,1884,1904,1927,1947,1960,1973,1987,2003,2007,2029,2048,2063,2094,2117,2143,2168,2193,2208,2232,2257,2281,2315,2345,2380,2416,2457,2495,2529,2569,2608,2649,2690,2742,2789,2833,2877,2914,2965,3008,3067,3129,3184,3231,3280,3337,3398,3451,3511,3563,3630,3687,3746,3819,3882,3958,4022,4089,4163,4235,4313,4386,4456,4544,4614,4679,4770,4846,4920,5007,5081,5179,5275,5368,5487,5590,5693,5809,5913,6034,6186,6299,6411,6543,6667,6791,6951,7090,7237,7364,7514,7678,7831,7981,8140,8313,8512,8691,8876,9027,9206,9409,9608,9818,9998,10181,10356,10563,10774,10985,11150,11327,11545,11756,11993,12225,12494,12760,13028,13269,13550,13809,14069,14376,14669,14960,15284,15593,15881,16187,16535,16903,17271,17621,17965,18323,18729,19155,19639,20117,20627,21131,21630,22140,22678,23239,23774,24288,24882,25444,26019,26588,27182,27801,28427,29038,29726,30400,31103,31838,32630,33393,34238,35096,36005,36903,37895,38818,39828,40890,41914,43015,44052,45177,46373,47591,48782,50070,51360,52655,54043,55369,56733,58108,59470,60930,62371,63939,65464,67056,68617,70260,71926,73644,75391,77127,78849,80532,82368,84161,85979,87830,89745,91654,93582,95589,97629,99700,101711,103779,106016,108216,110444,112762,115113,117414,119736,122040
1,1,1,1,1,1,2,4,5,7,7,8,9,11,12,12,12,15,17,18,20,22,25,26,29,30,34,35,37,41,43,49,54,60,63,65,69,71,75,80,86,92,95,100,104,109,111,115,117,119,120,126,129,132,135,138,141,143,147,157,162,171,173,177,186,188,192,198,204,212,218,225,233,243,252,262,270,278,287,301,307,311,315,325,337,350,363,373,383,395,406,420,433,444,452,459,468,478,487,498,510,523,536,543,557,569,576,594,608,614,627,634,641,652,662,669,685,694,709,725,730,742,754,764,772,781,789,803,812,823,832,843,855,865,875,895,903,911,930,938,954,964,977,989,1003,1011,1023,1030,1042,1057,1077,1092,1113,1138,1153,1182,1201,1224,1244,1268,1289,1309,1328,1348,1369,1397,1423,1443,1463,1489,1513,1533,1553,1576,1592,1622,1653,1679,1716,1743,1771,1801,1827,1854,1891,1916,1957,1995,2036,2060,2092,2136,2181,2230,2282,2329,2370,2414,2469,2524,2593,2646,2698,2758,2838,2905,2976,3030,3091,3182,3266,3329,3404,3473,3543,3621,3687,3761,3842,3926,4017,4104,4180,4286,4374,4456,4541,4622,4707,4803,4889,4989,5105,5222,5337,5454,5562,5695,5806,5951,6105,6270,6405,6565,6715,6882,7041,7236,7424,7632,7810,8009,8230,8439,8668,8877,9093,9311,9556,9817,10062,10288,10548,10771,11013,11249,11479,11741,12028,12264,12523,12761,13010,13287,13581,13863,14216,14552,14875,15242,15584,15985,16417,16844,17267,17697,18141,18613,19028,19440,19903,20382,20861,21363,21836,22371,22826,23321,23818,24357,24876,25431,26014,26626,27219,27834,28501,29180,29899,30580,31307,32087,32885,33634,34421,35257,36163,37064,37958,38937,39941,40986,42007,43065,44188,45306,46438,47572,48706,49796,50895,52037,53216,54330,55506,56652,57770,58966,60072,61236,62442,63641,64808,66009,67244,68464,69662,70860,72150,73410,74641,75979,77295,78680,79998,81371,82733,84199,85584,87070,88549,90059,91554,93069,94580,96159,97744,99325,100906,102579,104228,105978,107654,109368,111161,112944,114834,116856,118756,120793,122901,125064,127197,129334,131609,134007,136323,138620,141006,143509,146120,148670,151349,154062,156760,159533,162287,165097,167974,170873,173777,176752,179796,182894,185994,189256,192553,195695,198947,202143,205360,208694,212134,215584,219018,222611,226302,230002,233694,237576,241364,245256,249263,253288,257253,261395,265636,269976,274493,278852,283348,287920,292596,297467,302346,307281,312318,317413,322570,327985,333544,339101,344893,350678,356727,362746,369021,375268,381688,388198,394796,401486,408293,415354,422518,429838,437195,444552,452093,459930,467696,475637,483614,491731,500162,508618,517345,525984,534883,543858,552892,561810,571034,580507,590058,599611,609305,619081,629162,639220,649246,659425,669995,680674,691482,702595,713666,724943,736747,748346,760061,772015,784135,796652,809315,821966,834970
1,1,3,3,6,7,8,8,8,8,10,16,21,24,27,31,32,40,43,48,51,57,62,73,78,84,85,88,99,105,112,115,118,121,127,132,135,141,147,155,161,164,171,174,180,182,184,188,191,191,194,194,197,201,205,211,215,216,219,221,223,224,230,236,238,243,249,252,256,258,266,270,275,283,292,299,311,323,331,339,346,357,368,379,389,405,424,433,438,446,460,471,490,500,512,527,541,554,573,587,595,611,622,643,657,679,695,711,725,738,759,779,797,821,843,868,892,915,943,970,1003,1035,1066,1096,1149,1174,1207,1246,1279,1329,1375,1422,1464,1507,1568,1601,1634,1678,1727,1776,1822,1862,1914,1973,2015,2067,2117,2163,2212,2263,2322,2371,2426,2472,2511,2570,2620,2671,2719,2772,2821,2867,2919,2971,3023,3070,3109,3150,3195,3236,3267,3296,3344,3393,3448,3498,3546,3602,3667,3728,3802,3865,3913,3988,4046,4107,4159,4217,4275,4345,4407,4471,4551,4643,4727,4817,4909,5003,5102,5200,5300,5389,5476,5591,5696,5820,5945,6064,6214,6342,6482,6645,6800,6985,7181,7351,7538,7733,7914,8142,8319,8516,8746,8960,9148,9366,9574,9800,10029,10250,10497,10736,10963,11214,11456,11704,11957,12208,12465,12716,12991,13300,13587,13870,14148,14424,14724,14996,15287,15585,15882,16172,16477,16763,17076,17376,17677,18022,18393,18733,19078,19425,19796,20169,20528,20886,21236,21637,21996,22354,22780,23262,23726,24170,24612,25086,25564,26047,26518,27008,27517,28028,28524,29088,29658,30227,30837,31444,32037,32597,33238,33851,34507,35157,35793,36499,37183,37856,38536,39215,39897,40640,41336,42094,42816,43535,44341,45087,45833,46554,47326,48091,48958,49810,50674,51507,52445,53388,54360,55253,56270,57246,58278,59290,60324,61345,62431,63507,64626,65754,66866,67965,69123,70281,71496,72701,73929,75127,76396,77671,78914,80163,81426,82709,83998,85324,86700,88097,89437,90834,92208,93647,95074,96567,98088,99641,101150,102727,104319,106006,107751,109449,111318,113064,114837,116632,118483,120332,122238,124197,126116,128097,130063,132079,134138,136190,138257,140419,142526,144665,146869,149003,151238,153532,155844,158151,160567,163153,165673,168195,170892,173582,176340,179204,182043,185011,188087,191105,194217,197356,200631,203928,207311,210680,214075,217619,221063,224626,228277,232012,235685,239731,243649,247728,251852,255969,260281,264595,268998,273541,278143,282847,287703,292546,297614,302880,308204,313493,318822,324321,329806,335262,340725,346416,352244,358228,364089,370080,376157,382281,388462,394760,401235,407694,414409,421378,428466,435433,442654,450076,457531,465059,472729,480682,488757,497022,505326,513643,521939,530379,538760,547581,556392,565321,574145,583384,592604,601947,611528,621375,631071,641095,651313,661580,672134,682991,693736,704689,715748,726815,738201,749719,761455,773518,785524,797649,810295,822820,835648,848439,861608,874846,888204,901907,915616,929562,943484
1,1,2,2,3,3,3,5,6,6,7,7,10,11,11,16,19,21,30,34,36,36,39,43,47,52,59,64,65,67,69,70,70,75,80,88,89,97,108,111,117,125,132,134,140,141,144,150,153,160,164,168,174,176,181,187,198,202,210,218,220,226,234,238,244,251,264,275,284,289,297,301,306,313,321,328,333,341,345,353,366,373,380,385,392,401,408,411,414,418,420,424,426,428,435,438,451,456,458,465,468,475,479,486,499,507,514,525,533,539,555,566,571,581,596,611,615,627,643,657,675,688,700,713,732,750,763,786,801,830,846,858,880,900,912,931,956,982,1004,1022,1050,1074,1104,1123,1147,1175,1197,1226,1252,1272,1294,1325,1353,1381,1406,1437,1471,1500,1536,1574,1607,1626,1654,1682,1699,1724,1752,1780,1803,1832,1856,1881,1915,1933,1953,1975,1993,2014,2039,2075,2096,2116,2141,2166,2190,2220,2248,2273,2300,2335,2365,2401,2432,2467,2502,2545,2597,2643,2685,2727,2759,2798,2845,2908,2974,3039,3102,3181,3227,3306,3381,3454,3533,3603,3679,3770,3838,3897,3962,4028,4091,4158,4237,4289,4368,4439,4507,4571,4633,4697,4759,4828,4899,4973,5040,5129,5215,5303,5390,5474,5542,5601,5667,5734,5805,5868,5925,5984,6041,6088,6155,6210,6260,6313,6372,6405,6460,6519,6567,6612,6655,6705,6745,6789,6830,6883,6921,6966,7023,7073,7127,7171,7232,7296,7364,7416,7457,7504,7564,7620,7667,7703,7763,7803,7854,7908,7962,8015,8078,8144,8210,8268,8345,8423,8502,8585,8668,8754,8852,8938,9000,9075,9170,9256,9351,9443,9526,9610,9702,9777,9866,9949,10038,10134,10222,10311,10395,10481,10591,10666,10761,10855,10945,11028,11107,11197,11291,11363,11453,11536,11618,11709,11801,11884,11981,12074,12181,12283,12388,12506,12592,12688,12784,12881,12977,13074,13176,13285,13413,13518,13651,13769,13884,14010,14146,14276,14412,14542,14696,14835,14989,15167,15327,15500,15667,15867,16053,16237,16445,16637,16856,17055,17262,17503,17747,17973,18183,18421,18670,18933,19224,19507,19783,20062,20354,20653,20940,21250,21527,21860,22217,22596,22949,23332,23728,24092,24466,24874,25247,25635,26027,26413,26813,27291,27706,28130,28554,29021,29475,29909,30370,30815,31236,31667,32177,32633,33157,33652,34213,34726,35271,35829,36461,37055,37697,38339,39068,39803,40517,41314,42127,42973,43884,44775,45689,46622,47611,48602,49604,50646,51687,52705,53790,54842,55939,57063,58152,59262,60494,61700,62978,64245,65603,66891,68204,69579,70950,72341,73843,75277,76737,78288,79815,81380,82980,84672,86516,88345,90215,92142,94066,96082,98256,100450,102630,104924,107282,109689,112172,114651,117382,120029,122901,125703,128732,131755,134786,138055,141243,144455,147615,150858,154285,157719,161068,164449,167812
1,1,1,2,3,4,4,6,7,8,9,9,10,11,13,13,17,20,22,26,30,37,42,49,52,58,63,67,70,71,76,79,86,89,96,102,104,110,112,118,121,126,130,134,140,143,148,153,161,168,172,174,176,182,183,188,191,193,196,200,206,213,220,226,230,233,238,242,254,256,260,267,270,275,278,284,291,294,305,309,317,322,329,337,346,351,355,365,373,380,386,394,400,407,410,414,416,417,420,427,435,441,445,449,454,461,472,484,491,496,502,512,527,535,551,560,573,581,587,595,600,616,629,643,651,662,676,687,708,728,745,760,779,788,807,813,828,840,851,866,884,911,925,941,959,975,995,1015,1033,1044,1062,1082,1100,1114,1135,1160,1183,1198,1214,1236,1245,1263,1280,1303,1317,1331,1348,1361,1372,1388,1409,1428,1438,1448,1463,1476,1488,1507,1522,1536,1550,1560,1572,1588,1604,1623,1639,1648,1655,1677,1689,1707,1724,1740,1763,1784,1810,1834,1847,1874,1898,1912,1937,1958,1997,2023,2060,2084,2109,2138,2172,2198,2226,2260,2297,2338,2380,2415,2455,2490,2522,2564,2596,2628,2671,2708,2758,2807,2852,2895,2934,2976,3013,3056,3105,3152,3203,3263,3313,3367,3446,3507,3580,3646,3701,3766,3834,3901,3974,4043,4122,4201,4284,4359,4441,4521,4593,4673,4769,4877,4954,5047,5146,5248,5348,5473,5552,5661,5767,5866,5980,6069,6195,6296,6401,6550,6672,6797,6928,7072,7206,7348,7486,7623,7769,7910,8043,8188,8312,8439,8585,8723,8861,9027,9193,9366,9561,9733,9927,10113,10273,10458,10677,10873,11075,11283,11507,11721,11944,12175,12422,12650,12872,13121,13366,13611,13876,14170,14439,14733,15020,15313,15645,15933,16243,16602,16936,17321,17706,18082,18492,18913,19372,19848,20308,20788,21221,21727,22204,22678,23218,23781,24339,24907,25465,26005,26533,27122,27725,28328,28969,29617,30263,30861,31506,32139,32754,33378,33995,34675,35345,36062,36742,37450,38164,38866,39589,40339,41089,41850,42591,43362,44188,44941,45746,46584,47413,48217,49090,49993,50865,51747,52642,53491,54397,55321,56244,57206,58097,59089,60025,60971,61990,63024,64124,65227,66294,67436,68557,69803,71059,72260,73524,74922,76236,77677,79041,80463,81903,83345,84863,86385,87851,89435,91028,92590,94162,95884,97540,99284,101055,102914,104782,106654,108470,110375,112288,114232,116309,118377,120373,122483,124549,126656,128842,130985,133201,135381,137644,139895,142250,144549,146859,149264,151772,154421,157001,159703,162538,165246,168103,171002,174082,177223,180472,183674,187064,190481,193982,197431,201051,204703,208342,212067,215863,219777,223802,227771,231913,236012,240298,244594,249138,253749,258224,262910,267544,272408,277306,282314,287391,292736,298015,303397,309003,314514,320406,326285,332191,338147,344075,350277,356514,362735,369119,375582,382274
1,1,1,1,1,2,4,5,6,8,8,8,10,16,17,22,24,27,29,35,36,39,45,46,49,55,61,69,74,80,86,92,97,101,106,108,116,119,129,134,141,147,151,153,156,163,165,171,175,189,196,206,213,220,228,241,246,252,260,264,276,285,289,303,312,325,330,337,346,357,362,370,379,385,392,402,410,415,422,430,436,444,455,466,476,494,501,513,524,533,544,554,563,572,580,588,603,612,618,626,635,648,660,667,674,691,700,715,724,736,747,757,768,778,792,805,816,831,845,855,867,880,906,923,935,946,955,974,988,998,1005,1019,1031,1048,1059,1075,1086,1097,1108,1129,1142,1154,1174,1188,1196,1212,1232,1245,1268,1294,1314,1331,1352,1370,1395,1415,1439,1460,1493,1516,1535,1560,1584,1603,1629,1644,1672,1695,1722,1740,1763,1785,1809,1827,1855,1881,1899,1913,1938,1960,1984,2001,2014,2038,2047,2069,2090,2110,2129,2154,2171,2194,2219,2235,2249,2270,2293,2313,2336,2353,2384,2407,2432,2454,2475,2499,2530,2565,2593,2623,2661,2699,2743,2779,2821,2864,2912,2943,2991,3038,3078,3128,3180,3237,3295,3354,3412,3469,3519,3580,3624,3669,3741,3793,3855,3920,3975,4041,4118,4195,4268,4357,4436,4515,4602,4685,4778,4866,4946,5029,5141,5269,5359,5447,5557,5695,5816,5963,6104,6242,6394,6571,6727,6887,7073,7273,7439,7644,7842,8038,8232,8406,8612,8851,9098,9346,9577,9837,10103,10397,10676,10951,11244,11547,11866,12194,12498,12841,13183,13521,13860,14182,14549,14908,15307,15662,16060,16464,16867,17272,17642,18025,18373,18815,19253,19670,20100,20531,20970,21406,21893,22310,22748,23216,23690,24162,24675,25192,25729,26248,26801,27301,27904,28470,29032,29613,30199,30780,31377,32060,32726,33402,34083,34757,35496,36184,36886,37583,38310,39032,39738,40448,41209,42007,42807,43594,44410,45196,46042,46887,47762,48675,49624,50577,51534,52486,53421,54527,55588,56662,57744,58879,60075,61257,62529,63809,65177,66520,67951,69387,70818,72324,73807,75362,76966,78665,80323,82062,83883,85698,87554,89438,91301,93211,95125,97089,99110,101125,103218,105324,107459,109514,111782,114045,116291,118538,120727,123056,125459,127710,130191,132602,135048,137545,140189,142770,145294,147883,150484,153126,155833,158635,161437,164432,167355,170388,173462,176697,179860,183273,186642,190059,193519,197099,200698,204359,208110,211905,215822,219791,223736,227712,231686,235836,239993,244147,248390,252654,257084,261481,266057,270605,275233,279883,284596,289317,294139,299052,304105,309264,314498,319986,325405,330968,336685,342605,348679,354754,361012,367296,373631,380155,386895,393670,400552,407393,414416,421625,428690,436155,443661,451213,458983,466756,474600,482534,490668,498710,506954,515320,523753,532337,541110,550001,559049,568182,577573,586902,596492,606092,615888,625692,635707,645944,656373,666974,677855
1,1,1,1,1,1,1,1,2,4,7,7,9,9,9,9,9,9,9,9,9,12,13,13,13,14,16,22,24,25,26,27,31,35,45,51,56,61,68,73,80,85,93,98,103,110,115,121,128,138,142,148,157,167,178,185,194,207,214,218,231,241,255,272,282,294,304,317,324,337,345,356,372,380,395,408,420,435,448,466,482,498,516,531,547,564,583,602,622,636,655,678,694,712,734,755,779,801,816,837,862,883,910,947,972,999,1041,1084,1125,1173,1224,1275,1309,1357,1392,1423,1464,1503,1553,1600,1655,1713,1768,1830,1882,1939,1990,2042,2124,2192,2253,2335,2403,2469,2540,2616,2699,2801,2888,2967,3054,3130,3217,3317,3408,3522,3627,3733,3840,3955,4046,4155,4262,4375,4475,4581,4693,4819,4929,5062,5191,5317,5421,5563,5693,5817,5990,6157,6323,6499,6672,6834,6999,7242,7489,7709,7933,8177,8422,8637,8893,9121,9367,9618,9891,10131,10379,10633,10892,11164,11419,11703,11933,12157,12437,12701,12947,13197,13439,13708,13968,14224,14447,14680,14941,15263,15507,15756,16053,16342,16629,16951,17270,17588,17925,18284,18672,19031,19401,19778,20212,20643,21027,21422,21864,22323,22790,23315,23787,24297,24813,25374,25919,26509,27128,27707,28344,28968,29632,30329,30974,31608,32305,32975,33616,34278,34977,35647,36328,36988,37684,38398,39157,39958,40727,41493,42281,43089,43938,44778,45606,46490,47452,48487,49449,50465,51546,52639,53682,54781,55883,57039,58156,59274,60468,61649,62785,63938,65154,66419,67694,68945,70295,71598,72889,74194,75613,77101,78521,79945,81434,82916,84491,86071,87600,89220,90879,92548,94217,95993,97767,99620,101547,103483,105436,107591,109586,111717,113987,116239,118564,121016,123515,126070,128688,131349,134112,136939,139794,142683,145620,148576,151530,154640,157740,160911,164173,167542,170834,174240,177776,181307,184973,188690,192408,196204,200000,203874,207765,211754,215863,219937,223995,227984,232171,236294,240647,245027,249633,254260,258803,263490,268193,272971,277915,283006,288011,293400,298730,304179,309591,315105,320752,326347,331974,337892,343733,349795,355916,362244,368561,374920,381297,387874,394557,401211,408251,415266,422375,429546,436779,444290,451861,459665,467432,475371,483570,491858,500307,508887,517598,526325,535410,544487,553854,563103,572691,582284,591970,601696,611609,621684,631966,642583,653439,664280,675070,686137,697438,709142,720831,732934,745065,757424,769896,782483,795189,808268,821508,834565,848117,861625,875355,889010,902781,917170,931613,946277,960905,975939,991045,1006340,1021597,1037136,1052710,1068742,1084877,1101132,1117595,1134145,1151200,1168172,1185256,1202627,1220192,1237852,1255737,1273813,1292212,1310768,1329644,1348578,1367577,1386790,1405890,1425090,1444519,1464082,1483733,1503552,1523690,1543947,1564347,1584663,1605053,1625609,1646474,1667485,1689029,1710530,1732251,1754112,1775935,1798117,1820435,1842836,1865036,1887664,1910364,1932983,1955850,1979093,2002261,2025387,2048851,2072007,2095637,2118927,2142562,2166412,2189881,2213764,2237536,2262073,2286419,2310996,2335364
1,1,1,2,3,5,7,8,8,11,12,13,16,16,18,22,23,23,25,26,26,31,31,32,33,33,37,37,41,41,45,47,47,47,51,51,53,60,61,65,69,70,71,72,75,77,79,81,82,86,93,99,104,107,114,118,119,121,124,124,125,129,131,131,140,142,146,148,149,150,152,153,157,160,162,163,163,166,169,170,172,177,179,179,181,181,183,185,186,187,188,189,191,191,192,192,192,193,193,195,195,196,196,196,196,197,198,198,198,198,198,198,200,200,200,200,200,200,202,202,204,204,205,205,205,205,206,206,207,207,209,212,212,212,219,221,223,226,229,236,239,241,242,248,251,261,264,268,273,278,284,287,289,291,300,304,306,312,315,319,323,326,328,333,334,336,339,342,347,351,354,357,362,367,369,370,377,378,385,386,391,393,394,401,403,404,407,407,410,413,416,420,424,425,432,432,439,446,451,455,459,463,466,474,479,482,491,493,496,503,507,511,513,516,523,526,528,536,541,545,548,551,554,559,563,567,574,576,578,583,586,592,594,595,597,604,605,610,614,618,621,629,632,641,646,652,656,659,667,672,679,688,693,700,708,713,720,732,740,746,753,763,773,780,789,795,801,810,827,847,868,881,900,922,946,961,977,994,1003,1024,1044,1065,1084,1109,1123,1147,1164,1188,1207,1227,1259,1288,1309,1340,1366,1394,1418,1438,1463,1507,1541,1569,1596,1627,1659,1685,1710,1745,1775,1803,1835,1870,1898,1931,1970,2006,2051,2095,2138,2187,2238,2296,2349,2404,2453,2506,2556,2601,2662,2711,2774,2831,2887,2956,3019,3075,3154,3213,3284,3332,3415,3487,3569,3645,3710,3799,3877,3962,4058,4160,4248,4333,4417,4508,4616,4715,4829,4942,5030,5119,5235,5336,5429,5554,5676,5818,5972,6091,6257,6397,6543,6687,6826,6980,7118,7276,7442,7590,7771,7933,8113,8291,8475,8656,8852,9043,9235,9467,9698,9914,10145,10389,10664,10949,11213,11457,11717,12014,12298,12569,12884,13194,13511,13841,14178,14532,14857,15134,15498,15856,16205,16572,16956,17316,17706,18102,18508,18927,19309,19706,20146,20578,21011,21472,21916,22350,22834,23324,23799,24351,24823,25340,25869,26463,26997,27568,28143,28777,29382,30033,30716,31362,32008,32717,33398,34097,34830,35619,36372,37146,37914,38741,39581,40461,41354,42205,43112,44011,44913,45826,46794,47760,48755,49782,50828,51903,52996,54010,55073,56248,57365,58495,59687,60921,62188,63452,64720,66044,67407,68785,70250,71778,73322,74848,76452,78113,79827,81470,83252,84999,86918,88798,90760,92640,94604,96661,98726
1,1,2,2,3,4,4,4,5,5,5,5,5,11,11,12,12,13,17,18,18,21,25,26,26,28,29,30,34,40,44,53,56,59,63,67,69,75,85,92,101,102,107,108,117,119,126,135,144,145,153,155,164,170,179,190,197,204,217,228,236,246,253,265,275,294,304,317,333,344,362,374,398,406,419,434,446,463,490,515,536,558,574,594,610,626,643,666,683,710,740,759,779,804,815,835,858,886,909,934,952,976,1001,1016,1035,1061,1079,1093,1109,1125,1143,1165,1185,1205,1227,1253,1276,1301,1327,1348,1368,1392,1416,1441,1465,1492,1518,1543,1568,1607,1636,1669,1707,1742,1774,1809,1843,1881,1917,1949,1985,2022,2069,2114,2152,2183,2224,2263,2306,2362,2407,2455,2499,2546,2611,2655,2711,2768,2830,2900,2953,3021,3073,3137,3199,3266,3331,3413,3486,3577,3658,3743,3858,3954,4059,4176,4262,4383,4483,4605,4713,4825,4959,5085,5203,5331,5444,5573,5695,5826,5959,6098,6219,6354,6478,6620,6757,6901,7046,7188,7321,7453,7627,7772,7907,8061,8226,8381,8540,8720,8894,9052,9239,9400,9595,9766,9941,10123,10308,10475,10678,10854,11054,11244,11479,11682,11859,12081,12306,12562,12799,13036,13264,13515,13736,13961,14201,14464,14718,14973,15244,15470,15767,16050,16350,16661,16968,17256,17548,17860,18162,18489,18806,19144,19469,19822,20192,20566,20943,21284,21671,22046,22469,22895,23316,23739,24187,24651,25103,25552,26038,26538,27087,27628,28134,28712,29304,29911,30501,31154,31834,32507,33181,33891,34560,35237,35958,36686,37445,38203,38998,39788,40630,41468,42361,43226,44054,44921,45843,46711,47683,48610,49560,50521,51542,52626,53735,54857,55990,57127,58363,59582,60791,62125,63448,64867,66246,67688,69171,70664,72218,73793,75292,76790,78430,80038,81658,83351,85106,86835,88582,90372,92170,94067,96022,97967,99886,101919,103945,106004,108100,110278,112472,114826,117082,119394,121851,124241,126725,129257,131750,134328,136941,139681,142404,145226,148065,150915,153823,156780,159706,162746,165809,169007,172158,175445,178809,182341,185852,189438,193100,196993,200866,204848,208950,213012,217132,221432,225752,230217,234752,239387,244247,249142,254064,259013,264003,269121,274272,279652,285002,290341,295807,301535,307293,313071,319026,325041,331085,337200,343472,349794,356381,362964,369727,376436,383386,390449,397588,404966,412455,419915,427499,435363,443319,451396,459598,468008,476429,484926,493485,501998,510891,519735,528731,537916,547151,556374,565756,575231,584868,594675,604742,614807,624814,635151,645414,655764,666230,677115,688100,698909,710145,721390,732793,744596,756471,768429,780256,792544,804973,817532,830104,843107,856268,869533,882997,896608,910368,924370,938396,952780,967345,982103,996885,1011577,1026781,1041957,1057129,1072832,1088467,1104470,1120390,1136684,1152919,1169425,1185751,1202615,1219679,1236648,1254024,1271474,1288941,1306599,1324319,1342208,1360142,1378223,1396464,1414735,1433137,1451836,1470614,1489701,1508758,1528101,1547881
1,1,1,1,1,1,1,1,2,3,4,6,6,7,9,12,15,17,21,22,24,25,28,30,34,35,37,40,44,48,56,58,61,68,71,78,86,89,95,101,106,117,125,133,141,145,151,162,166,171,179,192,206,215,224,231,241,245,248,253,264,271,278,286,294,297,304,314,322,334,349,361,378,391,398,404,412,424,437,443,453,459,472,483,492,502,510,525,534,550,557,564,572,579,595,610,628,637,654,670,694,713,732,752,769,782,795,814,831,849,870,890,908,926,946,957,971,991,1001,1008,1021,1030,1043,1062,1071,1080,1085,1097,1107,1111,1125,1133,1148,1158,1174,1184,1195,1209,1226,1240,1249,1270,1296,1312,1323,1348,1373,1393,1421,1437,1452,1471,1497,1514,1533,1557,1582,1604,1625,1644,1663,1686,1702,1724,1739,1761,1779,1794,1807,1820,1836,1850,1867,1882,1904,1922,1933,1946,1961,1974,1989,2006,2018,2041,2055,2074,2085,2102,2119,2133,2156,2179,2194,2212,2229,2241,2263,2285,2310,2329,2343,2358,2386,2408,2434,2471,2498,2530,2553,2572,2600,2626,2652,2679,2703,2730,2752,2776,2803,2830,2854,2879,2906,2931,2963,2987,3012,3040,3071,3098,3123,3144,3162,3188,3224,3247,3287,3325,3349,3384,3419,3452,3490,3526,3555,3608,3654,3696,3747,3801,3861,3941,3997,4063,4146,4243,4359,4485,4632,4785,4951,5114,5309,5522,5671,5847,6026,6211,6408,6587,6758,6977,7179,7366,7607,7825,8028,8265,8496,8734,8969,9218,9501,9773,10067,10349,10680,10979,11312,11617,11955,12321,12637,12971,13319,13676,13999,14344,14672,14992,15317,15652,16029,16371,16680,17039,17411,17773,18144,18528,18955,19352,19748,20145,20527,20887,21242,21622,22060,22456,22857,23235,23665,24099,24493,24892,25368,25775,26224,26676,27124,27554,27968,28429,28945,29412,29859,30367,30816,31304,31786,32294,32841,33411,33893,34418,34957,35555,36124,36694,37258,37888,38524,39198,39836,40535,41261,42097,42834,43705,44545,45459,46366,47304,48232,49174,50151,51163,52207,53316,54448,55637,56814,57979,59234,60458,61681,62898,64236,65485,66824,68212,69563,70900,72376,73852,75353,76876,78402,80065,81724,83405,85182,86925,88788,90645,92606,94559,96653,98810,100966,103132,105358,107584,109891,112214,114606,117029,119435,121981,124623,127328,129965,132691,135490,138376,141256,144206,147164,150238,153330,156547,159851,163229,166623,170072,173499,177206,180861,184485,188243,192128,196100,200100,204093,208201,212296,216548,220818,225063,229353,233644,238097,242576,247005,251556,256322,261319,266263,271291,276450,281524,286877,292138,297580,302950,308718,314482,320324,326286,332354,338480,344699,350846,357253,363553,369960,376563,383269,390295,397322,404232,411261,418533,426007,433476,440960,448575,456338,464232,472134,480229,488511,496700,505014,513554,522094,530779,539636,548330,557371,566459,575562,584761,594020,603400,612799
1,1,1,1,1,2,2,3,4,6,7,9,9,10,10,10,11,13,15,17,18,18,22,23,24,29,34,39,44,46,49,52,59,61,65,70,74,79,81,83,87,92,100,105,114,128,136,143,151,156,158,167,170,175,185,191,201,209,216,223,232,239,245,250,253,260,269,278,284,290,298,304,312,322,335,338,345,355,366,374,384,394,408,422,431,440,452,465,477,485,495,506,516,523,534,543,555,566,585,602,624,632,648,659,683,698,717,733,750,770,790,808,831,853,861,881,909,932,953,978,998,1022,1050,1066,1090,1121,1148,1175,1199,1220,1235,1257,1275,1295,1323,1348,1372,1404,1432,1466,1497,1526,1552,1586,1606,1637,1669,1696,1726,1756,1779,1803,1827,1848,1883,1917,1936,1957,1986,2010,2030,2053,2081,2104,2137,2163,2204,2236,2271,2311,2344,2378,2413,2433,2469,2508,2536,2568,2608,2638,2682,2721,2765,2804,2840,2877,2937,2996,3056,3120,3177,3253,3308,3375,3430,3485,3569,3642,3717,3791,3889,3984,4071,4156,4253,4346,4447,4539,4650,4756,4860,4982,5085,5184,5301,5414,5529,5647,5785,5931,6086,6244,6400,6553,6741,6940,7137,7392,7632,7907,8237,8573,8883,9202,9538,9889,10200,10531,10885,11198,11564,11926,12279,12635,12974,13347,13677,14072,14445,14834,15215,15629,16086,16522,16982,17500,18065,18627,19215,19877,20502,21144,21807,22463,23139,23838,24528,25246,25982,26687,27447,28156,29001,29823,30682,31526,32400,33234,34124,34965,35819,36695,37580,38498,39423,40388,41319,42330,43294,44246,45298,46345,47433,48538,49611,50760,51900,53186,54449,55684,56932,58263,59574,60835,62123,63397,64698,66087,67458,68851,70241,71668,72997,74395,75927,77480,79035,80561,82177,83823,85411,87163,88977,90784,92593,94414,96335,98351,100307,102309,104329,106446,108711,111033,113323,115772,118199,120770,123434,126101,128945,131761,134601,137472,140381,143338,146369,149470,152725,155885,159144,162361,165683,169138,172535,176010,179539,183194,186842,190523,194302,198258,202100,206059,210067,214158,218416,222636,226843,231159,235480,240044,244612,249085,253564,258205,262954,267916,272751,277618,282660,287759,292988,298265,303660,309120,314625,320291,326150,331962,337839,343853,350050,356294,362715,369176,375730,382388,389160,396066,403185,410285,417396,424913,432396,439974,447721,455539,463270,471309,479524,487900,496271,504661,513353,522028,530936,539946,548988,558285,567572,577028,586392,595873,605463,615142,624842,634626,644641,654842,665072,675400,685852,696439,706993,717826,728772,739953,751445,762952,774631,786497,798464,810704,823313,835812,848550,861419,874482,887740,901513,915033,928808,942860,956929,971529,986047,1000588,1015335,1030132,1045093,1060263,1075667,1091074,1106855,1122770,1138726,1155113,1171706,1188110,1204986,1221921,1238874,1256225,1273273,1290537,1307864,1325553,1343487,1361330,1379479,1397558,1415671,1434156,1452867,1471303,1490009,1508584,1527738,1546667,1565835,1585230,1604430,1623552,1643320,1663091,1682911
1,1,2,2,3,3,4,5,6,9,9,9,10,10,10,11,14,15,19,19,22,26,29,32,35,37,39,40,46,47,50,52,57,64,69,74,81,86,92,100,107,111,117,121,124,127,132,135,140,143,149,152,157,162,166,172,181,187,188,193,197,203,214,221,228,234,239,248,251,260,270,278,286,297,308,320,325,332,338,347,359,371,385,390,406,413,429,440,448,462,477,489,500,517,526,543,559,576,587,606,617,633,648,657,670,690,704,720,738,759,782,801,814,830,853,872,903,925,939,953,968,1001,1030,1055,1077,1099,1129,1155,1180,1227,1272,1324,1396,1472,1541,1606,1683,1757,1845,1937,2033,2140,2223,2304,2383,2461,2552,2647,2716,2782,2853,2938,3000,3070,3131,3200,3249,3313,3371,3438,3496,3536,3599,3650,3708,3764,3807,3850,3893,3934,3985,4035,4092,4143,4185,4241,4285,4340,4386,4437,4486,4532,4583,4629,4683,4729,4781,4838,4882,4920,4974,5016,5056,5096,5136,5174,5212,5249,5292,5338,5393,5436,5484,5540,5585,5628,5681,5730,5774,5837,5893,5945,6005,6075,6128,6191,6274,6351,6414,6471,6542,6603,6670,6716,6783,6852,6918,6978,7033,7089,7140,7215,7280,7349,7414,7476,7539,7612,7666,7734,7827,7911,8002,8083,8175,8238,8310,8405,8483,8583,8680,8781,8892,9010,9129,9243,9366,9471,9622,9779,9938,10096,10264,10457,10671,10892,11098,11337,11548,11784,11996,12223,12443,12698,12941,13170,13407,13682,13967,14258,14558,14871,15206,15538,15891,16254,16635,17029,17392,17782,18181,18573,18953,19371,19793,20233,20667,21121,21556,22040,22500,22954,23437,23923,24361,24810,25310,25786,26278,26779,27297,27786,28273,28783,29300,29828,30349,30863,31395,31934,32445,33011,33618,34181,34770,35357,35989,36640,37292,37933,38598,39346,40005,40726,41461,42228,43000,43802,44537,45295,46172,47000,47823,48657,49509,50364,51241,52152,53056,53970,54885,55792,56771,57700,58638,59585,60588,61606,62749,63827,65000,66145,67310,68493,69742,71014,72233,73558,74901,76336,77694,79018,80423,81838,83232,84708,86263,87878,89488,91198,92786,94399,96048,97783,99498,101302,103083,104793,106655,108501,110365,112336,114349,116393,118459,120671,122871,125105,127307,129686,132047,134483,136987,139538,142204,144894,147492,150345,153142,156007,158966,161914,165070,168183,171261,174485,177792,181043,184410,187923,191394,194912,198562,202266,206050,209911,213872,217915,221904,226071,230293,234673,239096,243692,248307,252988,257908,262851,268040,273092,278331,283613,289040,294513,300055,305674,311486,317468,323392,329518,335751,342154,348575,355061,361782,368584,375420,382372,389519,396722,404023,411632,419232,426948,434524,442308,450249,458190,466189,474309,482599,491000,499494,508140,516949,525707,534695,543847,552949,562115,571631,581041,590796,600507,610484,620635,630882,641267,651849,662483,673329,684310,695437,706672,718000,729524,741198
1,1,3,3,3,3,7,9,9,11,11,12,13,14,18,21,24,28,32,37,39,44,45,46,55,58,60,64,68,72,76,82,88,91,95,102,102,105,108,113,117,121,124,127,132,137,142,149,151,154,156,158,161,167,172,181,191,195,206,207,215,223,233,239,245,250,257,261,267,272,282,287,295,303,310,320,329,341,348,355,367,373,383,396,412,424,440,452,463,473,489,507,522,551,580,602,625,658,688,717,755,784,825,866,914,947,988,1038,1085,1130,1177,1224,1263,1308,1357,1408,1457,1501,1547,1612,1663,1711,1756,1805,1855,1901,1951,2002,2060,2118,2171,2230,2284,2353,2417,2489,2564,2633,2714,2784,2864,2943,3027,3130,3219,3323,3414,3512,3617,3736,3819,3929,4039,4148,4257,4358,4465,4621,4750,4880,5003,5155,5308,5462,5630,5771,5943,6109,6312,6530,6724,6928,7148,7349,7554,7755,7964,8190,8434,8676,8904,9172,9426,9664,9917,10174,10440,10724,11004,11276,11567,11869,12151,12453,12748,13017,13310,13587,13908,14200,14525,14865,15201,15558,15908,16307,16677,17111,17518,17957,18415,18892,19343,19785,20245,20732,21184,21685,22157,22637,23159,23637,24145,24690,25242,25807,26389,26955,27560,28163,28805,29433,30076,30706,31366,31989,32604,33234,33881,34550,35199,35879,36564,37264,37951,38661,39392,40107,40857,41625,42414,43201,43937,44694,45469,46313,47181,47990,48876,49808,50687,51560,52503,53386,54252,55219,56150,57096,58114,59106,60153,61213,62284,63406,64587,65777,66997,68246,69556,70820,72131,73443,74789,76064,77497,78946,80415,81924,83441,85060,86630,88259,89944,91649,93347,94999,96718,98443,100166,102023,103922,105847,107765,109765,111733,113746,115800,117859,119964,122119,124232,126355,128545,130823,133110,135546,138021,140454,143057,145561,148223,150984,153811,156729,159702,162736,165844,169000,172194,175562,178993,182339,185823,189424,193164,196861,200601,204485,208584,212600,216609,220700,224882,229030,233346,237748,242158,246740,251287,255926,260610,265454,270360,275312,280176,285220,290155,295314,300466,305496,310595,315924,321274,326802,332370,338069,343825,349635,355452,361486,367559,373823,380115,386390,392855,399566,406216,413168,420224,427232,434447,441625,448835,456385,463871,471420,479005,486933,495012,502840,510927,519265,527707,536278,544863,553632,562499,571429,580601,589868,599337,608858,618306,628139,637901,647834,657922,668385,678901,689409,700196,711173,722197,733277,744471,755492,766906,778522,790132,801884,813956,826226,838620,851047,863735,876442,889550,902679,915930,929388,942788,956640,970401,984203,998279,1012619,1026967,1041276,1055747,1070482,1085378,1100447,1115719,1131316,1146936,1162798,1178830,1194982,1211349,1227684,1244202,1260662,1277563,1294347,1311411,1328512,1345835,1363410,1381190,1398897,1416787,1434931,1453267,1471769,1490293,1509138,1527879,1546889,1566259,1585665,1605069,1624788,1644623,1664738,1684682,1704870,1725399,1745986,1766343,1787082,1807914,1829112,1850420,1871619,1893481,1915289,1937192,1959086,1981213,2003186,2025524,2048181,2071147,2094211,2117229,2140184,2163232
1,1,1,1,1,1,1,1,1,2,2,2,4,6,8,12,16,17,18,20,23,23,28,30,36,38,43,47,53,58,66,70,75,80,85,89,97,103,110,117,124,126,127,130,136,142,145,150,155,161,164,170,176,179,188,194,203,206,211,215,217,222,226,231,243,247,250,259,264,267,277,288,295,305,310,318,333,342,350,371,379,394,413,428,441,451,469,482,495,507,523,544,561,578,604,617,639,662,685,700,724,742,759,773,793,810,829,847,863,873,891,908,928,959,991,1021,1044,1070,1088,1108,1129,1162,1184,1206,1225,1255,1279,1312,1339,1369,1385,1411,1447,1481,1521,1552,1582,1616,1654,1690,1726,1762,1786,1818,1849,1882,1934,1981,2025,2061,2095,2130,2169,2221,2257,2299,2333,2386,2421,2475,2524,2559,2608,2655,2703,2746,2778,2823,2879,2921,2968,3007,3042,3084,3125,3174,3215,3264,3293,3349,3391,3436,3474,3512,3564,3610,3670,3713,3759,3795,3849,3897,3968,4027,4078,4130,4180,4242,4301,4360,4409,4473,4537,4600,4657,4715,4777,4849,4921,4987,5060,5114,5173,5240,5306,5394,5475,5551,5618,5703,5757,5858,5932,6007,6075,6165,6254,6346,6456,6551,6647,6755,6840,6932,7022,7110,7201,7286,7382,7478,7571,7667,7777,7868,7943,8048,8142,8228,8322,8452,8556,8664,8769,8873,8989,9110,9228,9361,9486,9625,9783,9890,10034,10175,10312,10441,10588,10729,10861,10987,11115,11254,11388,11542,11682,11834,11984,12142,12299,12438,12599,12748,12909,13079,13236,13402,13578,13738,13907,14095,14246,14430,14622,14811,14996,15191,15369,15563,15742,15921,16102,16309,16510,16701,16897,17099,17313,17514,17714,17911,18128,18325,18524,18737,18982,19216,19450,19663,19889,20170,20424,20683,20915,21160,21416,21704,21997,22298,22590,22883,23161,23464,23786,24104,24418,24762,25055,25376,25737,26091,26462,26809,27165,27545,27885,28246,28604,29072,29509,29924,30344,30763,31199,31698,32169,32700,33181,33730,34293,34847,35400,36007,36593,37205,37832,38509,39220,39913,40594,41266,41998,42738,43481,44220,45005,45765,46553,47366,48206,49086,49948,50842,51787,52754,53658,54603,55595,56580,57577,58631,59703,60715,61766,62848,64002,65113,66323,67490,68734,70008,71266,72588,73934,75307,76691,78080,79475,80919,82407,83933,85477,86961,88533,90144,91769,93339,94975,96674,98329,100056,101786,103504,105330,107130,109086,111075,113050,114997,117030,119003,121248,123380,125515,127754,130146,132512,134843,137271,139656,142138,144763,147393,150003,152606,155277,158015,160823,163721,166702,169629,172526,175417,178521,181597,184729,187859,190981,194128,197331,200599,204002,207415,210828,214291,217890,221460,224943,228509,232209,235994,239768,243620,247532,251651,255876,260089,264252,268543,272881,277326,281776,286273,290927,295562,300317,305102,309923,314901,319956,325231,330516,335926,341328,346819,352278,357957,363700
1,1,1,1,1,1,1,3,6,7,7,9,15,18,21,24,26,29,32,33,33,35,37,38,41,47,52,60,65,69,70,73,77,80,84,89,93,98,104,108,113,120,128,131,136,140,143,149,155,157,159,160,164,167,170,178,180,182,186,190,194,197,198,200,203,204,208,212,217,225,233,244,247,258,269,278,285,294,300,307,316,320,326,338,348,358,370,385,392,403,408,412,422,434,447,460,465,478,488,501,512,527,547,563,572,580,596,602,612,625,637,654,666,687,702,719,732,741,756,763,779,786,792,805,819,833,852,867,878,897,904,927,940,965,980,1009,1026,1047,1070,1092,1117,1133,1147,1180,1208,1238,1264,1293,1318,1348,1374,1403,1435,1470,1505,1526,1554,1586,1613,1636,1668,1702,1726,1762,1788,1817,1849,1882,1911,1935,1959,1987,2012,2045,2065,2089,2124,2149,2175,2208,2227,2246,2277,2304,2328,2364,2399,2426,2440,2460,2478,2503,2524,2545,2566,2586,2606,2626,2649,2669,2692,2714,2737,2756,2774,2796,2807,2833,2855,2874,2896,2934,2961,2985,3019,3041,3076,3111,3147,3194,3242,3295,3339,3399,3443,3491,3540,3591,3644,3705,3755,3805,3870,3930,4006,4055,4108,4175,4224,4268,4323,4388,4439,4505,4560,4616,4681,4731,4794,4841,4892,4946,5019,5075,5133,5196,5260,5323,5404,5487,5566,5626,5708,5777,5850,5932,5986,6057,6109,6193,6255,6327,6408,6463,6546,6610,6683,6763,6828,6882,6958,7041,7122,7224,7304,7392,7486,7575,7656,7746,7829,7933,8040,8137,8240,8331,8440,8544,8651,8761,8860,8962,9086,9197,9327,9471,9593,9742,9894,10051,10203,10355,10517,10668,10852,10996,11169,11346,11523,11723,11923,12130,12323,12473,12641,12824,13009,13190,13369,13605,13795,14006,14226,14433,14678,14908,15165,15413,15683,15954,16212,16489,16776,17061,17354,17631,17943,18281,18608,18919,19247,19561,19880,20198,20536,20855,21176,21486,21843,22180,22475,22803,23139,23497,23887,24322,24726,25122,25572,25996,26416,26858,27330,27810,28342,28814,29320,29847,30398,30945,31474,32027,32606,33147,33743,34324,34936,35568,36219,36850,37502,38179,38792,39448,40131,40808,41552,42320,43102,43862,44643,45488,46377,47266,48112,48959,49886,50865,51801,52690,53568,54518,55473,56499,57570,58592,59641,60690,61705,62782,63991,65169,66408,67638,68899,70169,71394,72653,73942,75256,76577,77962,79375,80782,82245,83677,85120,86599,88100,89667,91238,92939,94629,96371,98131,99933,101786,103726,105760,107830,109943,112048,114258,116460,118621,120961,123363,125743,128091,130605,133139,135646,138188,140826,143569,146300,149056,151916,154844,157757,160793,163896,167044,170275,173635,177038,180501,184037,187712,191307,195000,198955,202944,206863,210901,214974,219002,223107,227243,231371,235707,240089,244441,248845,253296,257914,262508
1,1,1,1,1,4,5,6,6,8,10,10,10,10,14,15,17,21,25,26,28,29,31,32,35,40,44,47,49,53,55,57,61,62,64,69,74,80,85,88,95,102,112,122,134,140,148,157,163,168,171,181,188,194,201,206,210,214,218,225,233,238,248,254,261,269,275,281,286,288,298,303,307,312,317,327,332,339,348,359,371,380,390,399,410,422,433,442,451,461,473,487,498,509,525,536,545,555,566,575,581,587,598,605,618,624,637,647,656,662,671,677,680,686,691,700,705,708,713,719,727,735,747,750,754,762,766,769,772,775,780,786,790,797,802,806,814,816,820,822,830,833,836,840,844,847,852,858,865,873,880,885,889,898,905,910,915,922,925,926,931,932,936,938,943,950,952,955,956,957,958,959,960,964,969,970,974,981,985,990,991,1002,1012,1020,1031,1042,1053,1063,1072,1086,1095,1108,1127,1143,1164,1183,1204,1219,1238,1260,1279,1296,1313,1348,1385,1417,1451,1479,1505,1532,1563,1594,1641,1680,1730,1771,1806,1844,1891,1940,2001,2054,2111,2177,2245,2301,2399,2499,2601,2709,2820,2912,3018,3142,3281,3428,3593,3766,3957,4143,4326,4536,4760,4978,5186,5440,5681,5935,6174,6401,6637,6924,7239,7537,7858,8191,8478,8782,9114,9448,9782,10159,10481,10810,11168,11528,11863,12187,12525,12873,13236,13639,14049,14433,14847,15277,15728,16160,16629,17101,17587,18083,18571,19066,19602,20144,20649,21233,21824,22354,22963,23566,24170,24718,25254,25832,26455,27089,27680,28278,28944,29549,30189,30865,31560,32348,33097,33855,34642,35414,36200,37009,37910,38795,39689,40609,41511,42534,43499,44478,45486,46531,47545,48634,49719,50836,52026,53238,54447,55651,56956,58246,59511,60886,62218,63646,65021,66531,68062,69561,71071,72667,74225,75765,77307,78938,80476,82233,83969,85710,87541,89275,91047,92977,94913,96719,98566,100466,102477,104491,106477,108488,110601,112662,114751,116948,119033,121197,123393,125654,127877,130292,132796,135259,137763,140293,142857,145495,148137,150832,153689,156500,159459,162470,165504,168582,171642,174905,178243,181498,184936,188346,191761,195397,199012,202731,206392,210075,214082,218052,222126,226247,230388,234522,238772,243015,247467,251952,256482,261147,265847,270727,275736,280751,285842,291105,296283,301636,307216,312786,318389,324177,330058,336122,342337,348455,354686,361091,367508,374157,380990,387781,394639,401707,408836,416119,423531,431083,438618,446359,454252,462347,470388,478568,486929,495371,503799,512361,521149,529870,538660,547717,556911,566151,575479,585062,594604,604551,614558,624742,634920,645348,656106,666807,677554,688489,699531,710797,722185,733837,745605,757543,769861,782098,794598,807305,820144,833295,846683,860295,874046,887974,902116,916461,930975,945561,960408,975571,990734,1006103,1021463,1036696,1052525,1068385,1084531,1100765,1117106
1,1,2,3,3,3,4,5,5,5,5,5,8,9,11,11,11,11,11,11,11,11,13,13,13,15,15,16,18,18,20,22,23,24,25,27,27,28,30,32,33,35,37,37,41,43,47,52,54,56,58,59,61,63,65,69,70,74,75,77,83,86,91,96,99,100,104,105,107,108,112,118,120,124,125,129,135,136,142,144,148,151,154,160,160,164,164,166,171,175,179,182,184,184,187,190,192,195,197,199,200,201,202,203,206,208,209,210,211,213,215,216,218,220,222,222,223,224,226,227,229,232,235,237,237,239,239,241,241,245,248,254,257,259,261,269,271,275,280,282,284,290,292,294,297,301,308,314,318,328,335,339,349,353,363,369,376,379,386,402,415,425,432,440,451,466,481,492,502,513,524,531,538,545,550,557,567,570,574,580,588,592,595,602,611,617,624,634,645,656,662,671,675,684,694,705,715,723,729,740,761,773,787,796,808,817,837,855,878,885,906,928,942,970,996,1018,1036,1054,1067,1091,1111,1141,1172,1212,1257,1308,1368,1419,1479,1546,1604,1664,1724,1792,1853,1913,1968,2032,2096,2144,2199,2258,2312,2355,2389,2450,2500,2538,2594,2662,2732,2802,2869,2929,2979,3043,3098,3142,3200,3271,3334,3396,3463,3523,3598,3686,3763,3854,3920,4021,4117,4188,4291,4389,4492,4582,4678,4798,4909,5019,5133,5239,5339,5448,5526,5630,5711,5810,5905,6000,6120,6226,6336,6439,6544,6650,6770,6891,6992,7099,7221,7324,7449,7576,7675,7767,7873,7975,8069,8153,8256,8336,8417,8491,8568,8654,8738,8825,8910,8990,9064,9133,9217,9296,9363,9424,9499,9569,9640,9741,9809,9893,9967,10058,10145,10215,10291,10366,10461,10550,10651,10756,10855,10974,11084,11195,11306,11429,11541,11640,11764,11870,11997,12132,12278,12381,12508,12612,12734,12866,13022,13166,13318,13471,13629,13803,13968,14126,14298,14473,14666,14881,15068,15274,15462,15650,15843,16033,16243,16421,16623,16826,17000,17174,17346,17513,17694,17917,18113,18335,18548,18783,18998,19223,19466,19697,19948,20251,20521,20791,21055,21319,21611,21895,22165,22440,22741,23041,23326,23603,23915,24200,24512,24825,25142,25487,25848,26214,26573,26925,27261,27634,28014,28368,28730,29072,29461,29831,30216,30646,31032,31450,31905,32338,32810,33283,33774,34276,34830,35384,35897,36456,37031,37673,38322,38958,39645,40344,41121,41889,42696,43480,44299,45149,46034,46863,47693,48517,49378,50275,51175,52070,52947,53836,54765,55636,56580,57555,58586,59650,60629,61645,62690,63795,64903,66055,67146,68362,69578,70816,72119,73344,74630,75988,77296,78681,80144,81549,83009,84475,85923,87453,88964,90467,91975,93508,95001
1,1,1,1,1,3,3,4,5,5,6,7,8,9,10,12,12,12,12,12,12,13,13,15,17,21,24,27,30,34,35,38,40,43,45,46,49,53,54,57,58,61,61,65,66,67,68,71,74,77,83,89,91,92,95,105,108,113,118,120,124,127,129,134,143,149,153,158,163,166,173,183,185,190,195,202,210,212,220,224,230,234,242,246,253,257,266,276,290,299,310,313,325,338,348,363,378,385,400,413,432,447,467,474,482,499,511,515,529,543,556,566,585,603,614,622,629,640,647,651,658,671,686,696,708,723,737,745,755,763,772,781,792,806,818,834,847,857,868,879,893,901,907,917,931,948,967,976,987,999,1008,1027,1042,1057,1067,1072,1090,1100,1118,1132,1148,1159,1172,1184,1198,1214,1227,1244,1258,1272,1287,1298,1309,1323,1336,1348,1357,1369,1382,1403,1416,1432,1439,1448,1459,1468,1476,1486,1494,1507,1517,1528,1535,1545,1553,1563,1571,1588,1596,1604,1614,1620,1628,1637,1647,1655,1662,1667,1679,1688,1694,1701,1712,1719,1726,1735,1748,1758,1772,1780,1786,1799,1810,1829,1846,1862,1875,1886,1913,1931,1945,1964,1986,2002,2017,2039,2062,2085,2118,2144,2169,2192,2221,2249,2279,2311,2340,2368,2392,2421,2449,2479,2516,2544,2579,2611,2643,2672,2708,2739,2777,2814,2845,2883,2914,2945,2978,3016,3049,3076,3108,3141,3188,3231,3267,3315,3363,3403,3443,3493,3549,3607,3652,3708,3777,3865,3941,4020,4115,4207,4311,4427,4526,4623,4724,4836,4929,5030,5118,5224,5324,5416,5506,5598,5683,5774,5868,5957,6038,6121,6215,6314,6392,6488,6581,6680,6767,6868,6950,7039,7110,7203,7280,7363,7442,7538,7640,7750,7832,7938,8020,8114,8203,8289,8382,8478,8557,8646,8738,8833,8948,9046,9141,9237,9352,9467,9598,9719,9831,9935,10052,10166,10316,10443,10562,10698,10835,10967,11117,11270,11408,11556,11723,11874,12034,12171,12322,12461,12592,12738,12885,13054,13191,13372,13528,13698,13886,14071,14244,14409,14590,14771,14976,15180,15388,15606,15824,16059,16292,16548,16808,17050,17300,17571,17847,18089,18372,18637,18933,19229,19580,19902,20267,20607,20946,21306,21660,22018,22404,22782,23175,23550,23932,24362,24784,25250,25712,26175,26605,27086,27564,28107,28600,29114,29633,30169,30752,31328,31920,32484,33108,33715,34371,34995,35701,36336,37021,37748,38412,39150,39847,40549,41309,42009,42741,43466,44239,44997,45766,46557,47352,48172,49034,49906,50771,51669,52595,53490,54438,55341,56324,57328,58335,59359,60484,61581,62687,63814,64960,66108,67274,68507,69782,71077,72319,73660,74970,76278,77634,79029,80443,81932,83468,84968,86601,88256,89892,91616,93431,95293,97123,99051,100962,102918,104987,107139,109227
1,1,1,1,2,5,5,5,8,8,9,11,14,16,20,21,21,21,25,30,38,42,50,52,57,58,65,69,74,80,83,89,96,99,104,109,114,120,125,129,133,139,144,148,152,159,161,170,172,179,182,188,189,192,199,203,205,205,210,214,219,227,232,238,241,248,254,261,268,274,282,287,291,296,306,308,317,326,334,337,340,346,352,363,374,381,390,397,401,413,421,430,441,447,458,464,476,491,503,520,534,545,554,568,587,604,624,638,649,664,683,702,723,747,766,783,805,830,850,868,894,913,937,956,983,1012,1042,1063,1082,1103,1127,1154,1177,1198,1227,1251,1273,1297,1329,1352,1378,1407,1434,1470,1501,1539,1574,1605,1627,1661,1703,1738,1769,1798,1841,1874,1909,1941,1971,2021,2054,2081,2122,2160,2199,2234,2279,2325,2362,2399,2449,2492,2528,2569,2619,2654,2695,2745,2791,2835,2883,2936,2984,3032,3091,3142,3200,3257,3325,3398,3457,3519,3587,3642,3709,3787,3875,3952,4040,4142,4233,4333,4422,4527,4628,4749,4846,4958,5080,5203,5315,5425,5547,5703,5821,5990,6113,6244,6367,6498,6661,6817,6957,7141,7301,7460,7627,7813,7992,8174,8370,8595,8788,8980,9192,9404,9631,9849,10076,10312,10546,10797,11075,11341,11605,11853,12117,12402,12710,13061,13396,13687,14019,14375,14736,15112,15503,15896,16312,16733,17166,17607,18042,18508,19017,19502,20012,20551,21100,21692,22267,22826,23397,24019,24659,25283,25924,26631,27279,27914,28636,29360,30076,30785,31514,32277,33071,33863,34678,35481,36295,37112,37930,38739,39612,40513,41378,42270,43178,44136,45086,46056,47057,48098,49089,50106,51225,52303,53443,54570,55732,56847,57985,59159,60328,61541,62784,64098,65332,66527,67839,69122,70477,71890,73370,74839,76284,77802,79320,80899,82452,84040,85658,87311,88948,90638,92357,94190,96142,98045,99944,101884,103773,105673,107646,109684,111811,113914,116100,118264,120548,122835,125119,127545,130099,132587,135096,137655,140194,142832,145547,148267,151079,154003,156977,159932,162999,166152,169300,172545,175881,179270,182588,185964,189391,192884,196531,200170,203854,207656,211632,215620,219609,223693,227761,231941,236377,240828,245394,250061,254644,259560,264326,269191,274242,279323,284291,289374,294571,300025,305522,311131,316798,322489,328486,334557,340769,346931,353291,359828,366365,372939,379685,386497,393236,400165,407264,414496,421679,429158,436817,444225,451799,459484,467351,475346,483481,491691,499909,508242,516776,525393,534215,543078,552024,561056,570132,579477,588972,598497,608180,617855,627719,637582,647607,657568,667773,678114,688583,699250,709993,720929,731977,743251,754573,766157,777833,789410,801246,813263,825247,837453,850009,862636,875245,888206,901197,914165,927180,940657,954350,968182,982071,996149,1010444,1025095,1039817,1054782,1069920,1085076,1100649,1116196,1132144,1148390,1164886,1181398,1198180,1215231,1232631,1250319,1268185,1286227,1304649,1323041,1341791,1360334,1379346
1,1,1,1,1,1,1,1,2,2,3,3,5,6,9,11,13,14,15,15,15,19,20,22,28,32,37,42,46,50,55,58,61,71,74,78,85,95,98,101,106,107,116,121,124,126,128,129,133,136,139,142,144,144,146,150,151,151,154,157,161,164,165,168,173,177,180,180,182,184,184,184,188,189,191,193,195,196,198,199,201,201,201,202,204,204,206,206,206,208,208,209,211,213,213,213,213,215,216,216,216,216,216,217,217,218,218,218,220,222,225,227,227,228,228,229,230,231,232,232,233,234,234,234,234,234,236,238,241,241,241,242,244,245,246,248,249,256,259,261,261,264,267,267,267,268,270,272,277,280,284,287,288,288,292,293,294,297,302,305,308,310,313,316,320,324,333,335,337,341,345,354,356,360,362,365,371,374,382,385,387,392,398,400,401,409,416,423,428,436,445,447,453,461,470,477,487,490,501,513,519,529,543,550,561,569,575,583,588,595,602,607,613,626,633,642,648,657,669,675,685,690,698,704,711,715,725,735,743,747,754,767,781,789,803,813,824,837,853,874,887,899,914,928,941,958,973,993,1018,1036,1061,1080,1106,1124,1151,1172,1197,1226,1251,1282,1307,1333,1357,1389,1415,1441,1467,1498,1527,1566,1608,1633,1656,1686,1718,1757,1790,1810,1843,1885,1918,1953,1994,2037,2078,2122,2168,2214,2243,2278,2325,2357,2393,2442,2482,2520,2557,2594,2624,2660,2701,2734,2785,2835,2888,2948,2993,3048,3103,3166,3209,3268,3340,3412,3484,3547,3611,3699,3794,3873,3962,4056,4136,4221,4292,4364,4443,4530,4607,4691,4792,4893,4977,5081,5169,5257,5350,5445,5526,5609,5679,5758,5827,5903,5973,6053,6124,6205,6274,6357,6432,6516,6588,6659,6728,6798,6880,6949,7029,7107,7203,7296,7381,7461,7530,7599,7669,7746,7818,7889,7967,8045,8121,8208,8291,8366,8451,8539,8606,8680,8762,8832,8900,8982,9050,9136,9201,9265,9342,9423,9508,9587,9662,9735,9801,9882,9978,10058,10157,10247,10333,10428,10505,10592,10672,10780,10870,10974,11083,11202,11302,11403,11513,11618,11714,11816,11937,12073,12211,12338,12454,12592,12741,12898,13042,13181,13362,13543,13697,13856,14009,14145,14288,14427,14573,14726,14891,15037,15178,15324,15462,15610,15784,15944,16125,16289,16458,16635,16790,16970,17156,17363,17561,17762,17988,18219,18460,18713,18983,19276,19602,19946,20230,20569,20895,21244,21580,21928,22323,22685,23054,23440,23785,24173,24562,24938,25368,25782,26171,26538,26926,27355,27831,28261,28704,29142,29607,30038,30505,30978,31460,31950,32452,32927,33415,33886,34375
1,1,1,1,1,1,1,2,2,5,5,5,6,6,7,8,8,9,9,9,12,13,16,18,19,23,27,28,29,30,41,49,55,61,65,72,75,83,89,94,97,103,107,117,124,127,133,138,143,148,152,159,161,168,173,180,181,185,191,200,208,218,229,245,251,258,273,274,277,286,296,303,313,320,325,341,351,366,373,384,398,407,432,452,469,490,512,538,571,589,612,632,661,696,740,779,816,854,896,944,994,1039,1094,1148,1191,1250,1302,1358,1423,1502,1569,1648,1729,1804,1892,1978,2063,2140,2218,2309,2405,2508,2606,2709,2792,2876,2977,3064,3157,3257,3367,3473,3578,3692,3784,3906,4024,4189,4349,4513,4653,4817,5006,5197,5410,5603,5864,6062,6290,6550,6831,7109,7355,7650,7946,8238,8552,8861,9189,9496,9836,10135,10473,10772,11128,11470,11843,12191,12591,12956,13363,13748,14172,14578,15018,15483,15939,16423,16920,17416,17886,18421,18967,19461,19977,20562,21099,21667,22271,22817,23412,24004,24581,25198,25764,26369,27019,27619,28296,28956,29657,30373,31100,31862,32624,33388,34178,34973,35775,36650,37501,38414,39319,40258,41150,42106,43092,44201,45178,46213,47288,48414,49580,50700,51916,53152,54408,55616,56855,58157,59475,60858,62156,63606,65043,66377,67719,69138,70563,72039,73505,74965,76453,77931,79465,81115,82798,84443,86213,88037,89817,91749,93640,95565,97481,99512,101518,103575,105760,107898,110017,112183,114361,116581,118772,121049,123402,125701,128076,130573,132982,135563,137996,140482,143103,145716,148376,151114,153786,156515,159238,161989,164831,167798,170776,173852,176945,180127,183314,186531,189790,193086,196561,200046,203613,207270,210977,214623,218314,222174,226110,230097,234073,238242,242344,246486,250660,254906,259157,263491,268099,272690,277249,281835,286493,291239,296074,301008,305959,310981,316183,321491,326939,332444,338102,343628,349227,355138,361211,367270,373411,379791,386164,392771,399360,406063,412976,419977,427094,434371,441850,449548,457604,465453,473385,481533,489795,498142,506658,515176,523752,532451,541268,550423,559419,568660,578075,587649,597224,606956,617024,627103,637262,647449,657918,668846,679621,690524,701367,712328,723564,735236,746759,758445,770394,782282,794258,806475,818774,831280,844211,856923,869794,882821,896319,910010,923785,937588,951691,965901,980288,994946,1009907,1024814,1039879,1055071,1070536,1086178,1101859,1117839,1134007,1150396,1167032,1183755,1200585,1217492,1234901,1252216,1269650,1287180,1304767,1322416,1339903,1357850,1375741,1393717,1412107,1430562,1449098,1467629,1486437,1505408,1524563,1544167,1563645,1583470,1603477,1623372,1643599,1664296,1685090,1706062,1727190,1748197,1769480,1790831,1812058,1833872,1855798,1877942,1900225,1922913,1945325,1968002,1990863,2014158,2037447,2060416,2083754,2107232,2130699,2154555,2178450,2202396,2226675,2251265,2275623,2299804,2324519,2349495,2374365,2399307,2424397,2449498,2474644,2499892,2524877,2550032,2575103,2600560,2626154,2651821,2677337,2703062,2728575,2754303,2779780,2805600,2831745,2857405,2883301,2909440,2936070,2962248,2988723,3015042,3041570,3068415,3095163,3121929,3148811,3175979,3203282,3230908,3258382,3286157,3313909
1,1,1,1,1,1,1,1,1,2,3,4,4,5,7,8,9,9,10,10,10,11,12,13,13,16,18,21,23,24,27,32,34,38,43,50,54,58,63,64,68,74,75,76,82,86,89,94,96,96,98,101,105,109,116,119,128,131,135,138,145,152,157,159,165,171,176,182,187,195,202,204,210,215,224,227,230,232,236,240,243,244,248,254,256,263,265,267,268,272,274,275,277,278,283,288,288,293,297,303,306,309,312,315,320,324,335,347,352,358,365,374,382,387,396,407,418,430,444,458,466,475,489,503,511,530,544,550,564,582,595,602,613,625,637,653,661,672,690,700,713,731,741,754,764,777,787,801,821,831,844,859,874,880,898,911,925,940,955,963,978,989,1003,1015,1034,1050,1073,1091,1108,1121,1132,1151,1174,1189,1208,1231,1249,1277,1301,1331,1358,1388,1413,1444,1481,1515,1539,1569,1595,1617,1651,1675,1711,1732,1760,1788,1821,1844,1877,1905,1940,1964,1995,2013,2039,2062,2098,2120,2155,2182,2206,2234,2268,2292,2324,2357,2397,2433,2465,2503,2535,2563,2591,2625,2660,2689,2731,2769,2807,2838,2872,2901,2937,2975,3006,3047,3088,3133,3177,3207,3247,3294,3346,3387,3437,3485,3525,3564,3610,3640,3677,3722,3763,3822,3861,3909,3957,3998,4040,4090,4138,4185,4235,4277,4317,4358,4414,4460,4508,4561,4615,4663,4720,4768,4807,4844,4891,4955,5004,5057,5088,5130,5175,5221,5279,5348,5391,5447,5499,5543,5594,5640,5681,5742,5798,5852,5907,5957,6021,6076,6125,6186,6241,6309,6378,6442,6507,6583,6638,6697,6766,6826,6906,6983,7062,7127,7218,7304,7393,7476,7562,7662,7756,7859,7954,8053,8161,8269,8373,8480,8609,8709,8820,8926,9022,9140,9280,9417,9549,9683,9843,10017,10187,10365,10538,10757,10956,11152,11410,11646,11912,12193,12510,12824,13127,13437,13757,14064,14402,14757,15084,15398,15761,16104,16450,16775,17156,17499,17854,18242,18670,19102,19574,20086,20583,21084,21647,22226,22847,23440,24049,24648,25307,25930,26679,27425,28219,28990,29796,30546,31406,32265,33064,33939,34778,35637,36483,37349,38304,39257,40160,41103,42033,43024,44096,45096,46144,47251,48324,49468,50629,51865,53124,54391,55652,56988,58266,59637,61050,62509,63988,65527,67067,68686,70209,71856,73499,75121,76736,78443,80178,81935,83693,85515,87418,89327,91254,93189,95167,97152,99207,101283,103368,105524,107747,110018,112302,114594,116856,119142,121472,123910,126277,128728,131190,133785,136303,138900,141535,144281,147000,149740,152496,155385,158337,161281,164241,167191,170257,173470,176612,179865,183140,186362,189566,192838,196086,199586,203061,206530,210080,213575,217204,220900,224632,228345,232184,236151,239998,243976,248014,252092,256389,260637,264974,269494,274080
1,1,1,4,5,5,6,7,8,11,15,17,20,23,25,29,32,34,36,40,45,52,56,59,63,67,71,77,79,84,89,98,107,113,118,122,131,135,138,140,144,148,152,155,159,162,166,169,176,180,183,186,192,194,201,204,206,210,212,217,223,224,227,230,233,236,239,239,242,244,245,249,253,254,255,259,260,264,268,270,271,273,279,284,287,289,293,296,303,307,312,330,334,338,344,350,352,356,363,366,367,372,377,378,380,389,392,395,400,410,421,425,433,443,451,454,464,472,479,495,512,525,537,553,568,579,591,606,618,636,654,667,688,703,712,733,745,768,781,796,810,821,832,850,866,877,884,898,915,929,940,952,967,987,1003,1020,1035,1051,1075,1098,1129,1147,1166,1178,1191,1203,1219,1235,1258,1280,1293,1308,1324,1357,1376,1391,1413,1439,1456,1471,1499,1521,1550,1585,1623,1647,1676,1711,1761,1801,1840,1866,1908,1943,1979,2024,2062,2116,2158,2207,2255,2323,2374,2424,2459,2497,2550,2592,2639,2683,2728,2774,2815,2850,2890,2931,2980,3029,3070,3104,3152,3193,3233,3286,3330,3389,3425,3474,3510,3569,3626,3679,3734,3801,3861,3926,3998,4058,4133,4206,4272,4357,4410,4496,4565,4642,4731,4798,4879,4954,5027,5118,5222,5307,5386,5462,5563,5644,5739,5816,5907,5987,6075,6152,6244,6344,6431,6503,6613,6722,6819,6905,6992,7097,7199,7290,7382,7500,7614,7720,7822,7929,8042,8178,8294,8430,8555,8682,8825,8944,9085,9219,9340,9497,9649,9788,9957,10111,10243,10393,10546,10707,10869,11024,11234,11396,11560,11722,11904,12099,12278,12438,12612,12795,12968,13139,13292,13469,13607,13802,13985,14160,14341,14529,14725,14905,15067,15250,15468,15643,15854,16075,16279,16486,16711,16942,17155,17375,17619,17865,18088,18334,18580,18836,19061,19357,19617,19892,20149,20428,20713,21022,21309,21616,21940,22257,22572,22895,23210,23589,23926,24300,24645,25031,25428,25828,26262,26628,27040,27444,27869,28336,28798,29261,29746,30249,30786,31280,31786,32280,32812,33363,33972,34515,35124,35717,36359,37002,37609,38238,38884,39565,40228,40843,41498,42176,42847,43489,44177,44854,45557,46254,46908,47627,48368,49067,49844,50686,51479,52262,53130,54041,54899,55799,56776,57750,58716,59746,60728,61776,62824,63907,64989,66078,67238,68380,69595,70738,71912,73107,74326,75580,76901,78204,79525,80863,82255,83639,85065,86515,87951,89442,90944,92467,93979,95551,97128,98846,100512,102340,104158,105977,107854,109797,111888,113886,115899,117948,120086,122239,124586,126931,129242,131626,134187,136732,139326,141829,144529,147283,150142,153000,155763,158554,161424,164319,167370,170447,173578,176725,179762,183014,186400,189884,193372,196885,200573,204120,207765,211578,215515,219531,223570,227520,231630,235726,239936
1,1,1,1,2,2,3,4,5,8,8,8,9,9,9,10,11,13,13,14,18,20,21,22,23,24,25,25,25,26,29,30,34,39,40,43,49,51,52,54,60,65,68,74,78,86,89,92,100,103,108,112,116,120,124,132,136,141,143,146,149,155,167,170,176,183,191,193,199,206,216,222,235,243,253,263,270,275,284,294,300,307,319,333,342,352,360,364,375,384,396,402,415,426,446,458,471,482,492,507,522,530,540,553,567,580,593,607,616,630,649,664,684,696,716,734,751,769,789,812,842,863,888,915,937,966,984,1007,1029,1056,1078,1102,1133,1157,1184,1215,1243,1276,1300,1336,1363,1393,1421,1459,1496,1527,1564,1601,1646,1688,1737,1783,1842,1891,1941,2002,2069,2130,2177,2235,2283,2351,2408,2462,2524,2592,2646,2707,2761,2809,2854,2895,2942,2994,3038,3084,3143,3194,3244,3301,3373,3440,3540,3650,3756,3896,4034,4172,4312,4454,4589,4737,4858,5000,5131,5268,5397,5552,5715,5898,6064,6235,6434,6626,6798,6993,7166,7345,7539,7730,7926,8097,8273,8425,8583,8741,8903,9080,9250,9407,9577,9732,9918,10109,10278,10458,10643,10831,10999,11157,11321,11499,11679,11857,12017,12176,12351,12519,12704,12841,12979,13146,13293,13457,13608,13746,13927,14080,14230,14384,14564,14746,14910,15077,15238,15404,15579,15732,15883,16041,16217,16391,16576,16764,16927,17115,17313,17529,17746,17918,18125,18358,18574,18840,19107,19370,19628,19895,20151,20430,20704,21005,21299,21618,21891,22166,22485,22781,23101,23471,23780,24111,24438,24769,25101,25460,25791,26147,26500,26850,27195,27549,27891,28235,28611,29030,29435,29791,30226,30653,31081,31530,32004,32469,32968,33502,34021,34558,35117,35659,36220,36816,37412,37999,38643,39240,39891,40594,41318,41967,42627,43322,44030,44767,45539,46381,47256,48155,49044,49924,50844,51835,52821,53871,54863,55905,56964,58003,59033,60147,61241,62364,63533,64783,66013,67223,68451,69677,70970,72267,73592,74905,76250,77621,78969,80330,81724,83188,84711,86270,87800,89355,90942,92614,94316,96097,97975,99791,101599,103480,105319,107268,109244,111279,113355,115477,117681,119864,122202,124492,126857,129155,131569,134007,136629,139335,141942,144738,147522,150277,153149,156088,158940,161870,164892,167948,170952,174040,177228,180424,183766,187112,190566,194017,197666,201327,205092,208996,212870,216757,220917,225122,229480,233776,238086,242647,247447,252226,257187,262027,267114,272238,277563,282982,288501,294271,299960,305659,311568,317601,323698,329980,336293,342580,349072,355700,362463,369252,376184,383281,390706,397973,405330,412831,420515,428254,436089,444010,451978,460188,468442,477014,485640,494389,503089,511703,520508,529525,538738,548051,557516,566892,576429,586024,596001,606017,616188,626459,636839,647484,657924,668705,679516,690535,701604,712816,724442,735858,747401,759021,770927,783066,795129,807215,819682,832354,844976
1,1,1,1,1,1,2,2,3,4,6,6,7,8,12,16,19,21,24,28,29,29,37,41,42,45,47,52,57,60,62,64,65,68,75,80,83,85,92,95,99,103,105,106,111,115,117,118,119,120,125,127,130,133,136,139,141,141,143,146,150,159,164,169,174,177,184,186,189,192,198,200,200,206,211,216,223,226,232,238,242,247,252,257,261,267,271,276,279,283,286,292,300,308,314,322,329,338,345,352,370,377,391,400,409,418,432,446,457,469,485,499,516,533,543,559,576,590,606,629,647,664,681,698,716,732,747,767,786,808,817,845,859,876,907,937,971,993,1020,1049,1080,1113,1149,1207,1246,1293,1336,1381,1428,1467,1515,1552,1608,1655,1705,1765,1811,1870,1928,1981,2031,2085,2147,2200,2251,2300,2347,2405,2455,2527,2596,2659,2720,2786,2853,2918,2981,3065,3137,3206,3272,3352,3454,3536,3637,3728,3832,3941,4044,4189,4289,4418,4570,4678,4800,4920,5059,5197,5314,5435,5573,5718,5843,5968,6121,6257,6416,6565,6707,6848,7024,7187,7343,7537,7728,7918,8128,8341,8562,8765,8981,9208,9447,9680,9954,10220,10476,10760,11063,11330,11649,11945,12280,12638,12991,13411,13821,14249,14654,15125,15583,16019,16455,16923,17374,17829,18295,18744,19186,19637,20075,20530,21039,21502,22002,22485,22995,23502,24028,24574,25112,25730,26276,26892,27541,28184,28835,29531,30189,30846,31598,32269,32985,33646,34346,35095,35826,36586,37392,38168,38946,39759,40608,41436,42251,43034,43884,44727,45572,46468,47374,48276,49246,50197,51173,52194,53186,54185,55140,56158,57195,58259,59318,60404,61522,62638,63702,64812,65964,67231,68452,69694,70947,72230,73497,74769,76095,77379,78749,80167,81569,83084,84581,86145,87720,89353,91014,92672,94443,96197,98035,99926,101854,103899,105865,107975,110092,112088,114214,116391,118579,120809,123062,125318,127634,129998,132363,134724,137053,139481,141890,144419,146987,149588,152277,154948,157514,160184,162796,165546,168419,171362,174331,177319,180324,183305,186490,189734,192964,196171,199515,203005,206426,210206,213934,217702,221589,225450,229452,233449,237495,241591,245894,250082,254347,258708,263136,267609,272160,276729,281417,286106,290989,295765,300820,305801,311094,316484,321860,327377,332920,338596,344370,350244,356141,362307,368583,375065,381491,388059,394574,401263,408008,414973,422122,429327,436580,443847,451149,458461,465997,473748,481551,489370,497347,505483,513710,522014,530590,539170,548120,557043,566190,575356,584670,594288,604043,613916,623834,633853,644088,654506,665234,676004,686909,698000,709193,720668,732164,743862,756016,768010,780438,792747,805503,818280,831361,844788,858261,871704,885523,899311,913184,927440,941811,956332,971054,985581,1000601,1015632,1030985,1046524,1062079,1077793,1093787,1109873,1126152,1142701,1159212,1176052,1192867,1210168,1227549,1245151,1263019,1281028,1298911,1316874,1335291,1353679,1372391,1391176,1410007,1429300,1448051,1467308,1486569
1,1,1,1,1,1,1,1,2,2,4,4,4,5,5,7,8,8,8,8,8,8,9,9,10,11,11,12,13,14,14,14,14,16,18,20,21,21,22,23,23,23,24,25,27,27,29,30,31,33,34,36,38,40,41,42,42,45,48,49,50,53,55,57,58,60,60,63,64,67,69,69,71,71,73,73,76,77,77,79,79,79,80,80,81,84,85,88,91,94,94,94,96,96,96,96,96,98,99,101,101,104,104,107,107,108,109,111,112,112,112,114,115,116,116,117,117,118,118,118,120,120,120,121,121,122,123,124,125,125,126,126,127,127,127,129,130,134,135,139,141,142,144,144,145,147,147,151,151,151,154,157,161,162,169,174,178,178,179,182,184,185,189,192,192,194,197,199,200,200,201,202,203,205,205,206,209,212,215,216,218,221,226,229,231,232,234,241,242,246,248,255,257,260,270,273,284,292,304,312,318,331,339,346,355,364,384,391,398,407,421,431,440,447,456,460,469,480,491,499,507,519,527,539,544,549,560,566,575,581,584,594,602,618,625,638,656,670,683,693,703,717,741,762,784,813,842,879,902,940,962,993,1021,1057,1088,1123,1156,1195,1228,1263,1294,1331,1362,1396,1431,1459,1488,1525,1556,1587,1639,1678,1736,1783,1837,1870,1908,1950,2002,2048,2109,2149,2196,2246,2306,2356,2396,2432,2482,2529,2577,2633,2689,2750,2785,2827,2883,2939,3009,3062,3130,3204,3282,3352,3418,3484,3571,3674,3741,3831,3912,3991,4070,4158,4233,4327,4413,4509,4591,4683,4795,4894,4986,5086,5192,5320,5453,5585,5733,5876,6052,6223,6416,6599,6777,6956,7128,7298,7493,7680,7878,8088,8291,8527,8752,8977,9211,9460,9711,9944,10187,10399,10653,10888,11101,11344,11545,11773,12007,12246,12477,12725,12937,13161,13381,13581,13787,13987,14209,14445,14653,14849,15064,15274,15482,15737,15977,16205,16458,16690,16913,17138,17386,17630,17869,18130,18405,18654,18928,19208,19504,19844,20210,20558,20916,21318,21716,22159,22520,22941,23362,23828,24262,24715,25232,25685,26152,26618,27098,27589,28060,28544,29045,29553,30078,30586,31082,31604,32160,32671,33236,33816,34357,34929,35544,36133,36751,37382,37998,38699,39404,40128,40870,41613,42372,43205,44012,44838,45726,46642,47608,48556,49566,50667,51754,52868,53971,55124,56243,57396,58654,59869,61167,62356,63656,64954,66320,67638,68991,70287,71620,73093,74469,75818,77296,78802,80279,81707,83264,84816,86465,88058,89694,91369,93150,94957,96752,98580,100386,102317,104269,106288,108441,110654,112880,115085,117400,119706,122035,124366,126834,129357,132055,134747,137566,140286,143200
1,1,1,1,1,1,2,3,3,3,3,6,8,8,9,9,9,10,10,13,15,18,19,20,24,25,31,34,35,38,43,46,48,51,59,63,65,69,71,73,81,85,92,96,100,108,116,123,128,131,133,140,146,152,155,156,161,166,169,175,178,183,189,199,201,205,213,217,221,227,232,240,245,254,256,269,272,276,282,290,296,302,311,318,322,331,339,345,350,354,362,364,366,368,371,375,379,385,389,392,396,396,399,406,410,414,416,421,424,427,428,433,443,451,456,462,466,478,486,496,509,517,525,544,561,575,588,602,614,625,635,650,662,677,697,716,741,758,769,787,804,823,840,850,863,888,909,940,954,971,983,1012,1030,1057,1077,1095,1108,1131,1150,1167,1184,1204,1231,1259,1278,1298,1317,1338,1352,1370,1390,1414,1432,1445,1473,1492,1510,1530,1550,1565,1573,1591,1603,1616,1636,1655,1672,1691,1704,1714,1731,1741,1751,1769,1785,1800,1820,1835,1853,1875,1892,1910,1934,1956,1985,2018,2054,2078,2113,2133,2168,2196,2223,2254,2295,2336,2384,2436,2484,2528,2580,2624,2682,2725,2784,2844,2904,2953,3008,3059,3122,3181,3226,3278,3342,3390,3440,3477,3519,3569,3605,3651,3690,3732,3772,3824,3866,3908,3954,3992,4041,4086,4127,4167,4206,4240,4271,4301,4339,4380,4411,4453,4483,4530,4568,4605,4644,4691,4726,4774,4806,4862,4919,4977,5024,5077,5139,5202,5260,5327,5404,5474,5548,5627,5676,5731,5805,5907,5988,6094,6203,6289,6386,6472,6562,6650,6737,6836,6939,7066,7176,7289,7401,7512,7624,7730,7852,7961,8079,8210,8316,8425,8554,8697,8795,8914,9040,9165,9300,9441,9597,9752,9907,10062,10202,10381,10534,10671,10854,11037,11213,11379,11538,11741,11920,12093,12283,12495,12700,12880,13106,13286,13505,13730,13932,14149,14380,14637,14847,15059,15282,15531,15799,16034,16251,16487,16752,17028,17301,17613,17900,18225,18546,18895,19211,19557,19929,20321,20711,21072,21442,21862,22251,22660,23059,23459,23900,24338,24766,25291,25699,26199,26653,27147,27645,28125,28651,29179,29705,30277,30843,31412,31960,32496,33091,33692,34291,34938,35564,36199,36861,37520,38161,38810,39486,40159,40889,41632,42380,43134,43999,44790,45639,46417,47329,48236,49117,50043,50950,51907,52877,53795,54709,55692,56688,57708,58745,59834,61001,62227,63392,64504,65679,66866,68082,69347,70650,72026,73405,74873,76378,77828,79344,80869,82478,84117,85782,87504,89306,91063,92864,94658,96567,98496,100480,102396,104386,106404,108404,110461,112515,114569,116753,118947,121095,123411,125681,128077,130525,133121,135743,138346,140968,143710,146454,149291,152143,155106,158089,161090,164236,167434,170582,173804,177108,180405,183833,187280,190705,194297,197924,201552,205199,208983,212738,216499,220508
1,1,1,2,3,3,4,4,4,9,12,14,16,17,17,17,18,22,25,28,32,37,40,40,42,44,49,50,51,53,56,58,61,65,70,73,78,79,84,86,93,100,104,105,107,113,121,125,129,134,137,140,143,145,149,152,152,156,159,161,162,163,165,170,174,176,176,178,180,181,184,186,187,191,196,197,197,200,202,207,208,213,219,226,229,233,237,242,250,258,264,266,272,278,281,293,299,304,308,311,321,328,334,346,359,369,377,384,394,404,414,427,444,462,478,486,497,527,548,565,579,592,614,626,645,668,685,704,727,743,764,778,794,805,821,835,861,885,901,929,945,979,1004,1030,1062,1094,1121,1146,1171,1203,1227,1253,1280,1307,1335,1365,1395,1431,1460,1499,1541,1576,1601,1631,1657,1678,1710,1738,1768,1800,1819,1844,1870,1908,1933,1952,1971,1990,2007,2025,2050,2072,2095,2120,2146,2161,2183,2215,2244,2273,2303,2334,2374,2398,2431,2478,2517,2551,2588,2635,2675,2723,2777,2821,2859,2896,2951,2994,3033,3087,3128,3163,3204,3248,3309,3372,3444,3500,3551,3601,3670,3733,3798,3878,3946,4013,4074,4134,4214,4300,4385,4465,4559,4636,4722,4817,4914,5025,5111,5218,5326,5416,5517,5623,5743,5847,5974,6104,6234,6371,6496,6617,6747,6871,7016,7166,7330,7456,7620,7769,7900,8047,8176,8337,8491,8628,8772,8921,9101,9273,9433,9585,9739,9906,10046,10183,10337,10502,10697,10848,11029,11228,11437,11675,11883,12093,12328,12580,12775,12994,13234,13460,13707,13955,14217,14449,14712,14971,15237,15512,15795,16077,16341,16636,16919,17207,17492,17836,18148,18462,18779,19133,19462,19791,20122,20469,20840,21188,21550,21904,22273,22649,23061,23441,23854,24288,24727,25129,25602,26040,26491,26943,27422,27935,28406,28961,29457,29980,30556,31172,31755,32379,32963,33571,34225,34832,35437,36107,36746,37375,38014,38684,39341,40056,40776,41547,42331,43159,44025,44889,45779,46630,47508,48450,49419,50445,51469,52523,53574,54670,55808,56982,58128,59429,60684,61924,63255,64525,65872,67237,68630,70054,71503,72941,74401,75847,77409,79004,80673,82301,84075,85934,87769,89603,91428,93282,95180,97091,99050,100915,102902,104910,106889,108957,111043,113119,115333,117418,119574,121752,123959,126158,128422,130747,133116,135565,137999,140563,143038,145690,148386,151222,154076,156962,159893,162778,165823,168818,171869,174897,178034,181153,184279,187541,190723,193906,197181,200521,203831,207252,210588,214016,217747,221447,225233,229050,232827,236775,240784,244917,248936,253151,257394,261766,266065,270486,274928,279594,284224,288951,293736,298487,303285,308211,313253,318518,323719,328974,334269,339596,345267,350695,356307,361843,367509,373284,379138,384924,390887,396816,402857,408928,415104,421300,427674,434106,440585,447070,453689,460486,467372,474395,481522,488671,495965,503325,510712
1,1,1,1,1,3,3,4,4,4,5,5,6,6,8,11,12,14,14,16,16,18,18,19,22,23,24,25,26,28,28,28,30,35,35,38,38,38,41,44,44,50,54,58,62,65,68,70,74,78,81,88,92,97,104,112,116,121,126,141,145,151,155,161,168,177,184,193,195,206,209,213,219,227,233,239,247,251,258,263,268,271,277,289,298,310,315,324,333,337,342,346,350,355,359,367,375,386,396,399,410,419,430,447,459,469,479,488,507,513,516,531,540,553,565,583,602,627,649,665,682,703,718,736,751,763,773,783,797,813,836,848,866,884,904,932,956,975,997,1017,1039,1056,1081,1099,1120,1152,1177,1195,1214,1245,1270,1299,1328,1357,1389,1428,1462,1495,1533,1563,1602,1640,1679,1723,1752,1791,1830,1859,1910,1952,1983,2026,2072,2126,2180,2245,2297,2366,2433,2493,2556,2622,2687,2751,2818,2872,2933,3009,3079,3149,3229,3308,3381,3459,3538,3634,3693,3768,3862,3938,4029,4123,4216,4303,4389,4496,4601,4712,4822,4913,5027,5137,5253,5372,5497,5614,5727,5862,5981,6099,6214,6353,6501,6610,6736,6863,6976,7106,7223,7375,7505,7664,7821,7959,8156,8338,8531,8730,8934,9153,9381,9599,9822,10075,10325,10581,10824,11081,11359,11627,11906,12183,12472,12739,13056,13329,13590,13854,14147,14460,14761,15038,15358,15678,16014,16344,16687,17041,17415,17807,18186,18593,19014,19427,19908,20355,20784,21225,21720,22184,22720,23270,23763,24249,24797,25341,25865,26418,26962,27572,28152,28756,29394,30037,30727,31419,32102,32804,33508,34230,35010,35846,36634,37421,38227,39101,40035,40945,41906,42924,43955,45053,46107,47214,48321,49484,50658,51875,53133,54415,55759,57080,58441,59834,61292,62681,64207,65713,67289,68897,70558,72279,74038,75801,77656,79563,81458,83505,85496,87553,89638,91786,93983,96221,98514,100790,103116,105462,107762,110132,112503,114865,117217,119675,122142,124563,127120,129631,132154,134734,137223,139769,142357,145056,147688,150385,153055,155682,158406,161181,164012,166925,169874,172841,175893,179013,182265,185571,188792,192221,195793,199368,203026,206838,210704,214535,218417,222448,226480,230533,234788,239030,243367,247957,252541,257127,261926,266582,271337,276270,281206,286119,291076,296237,301375,306566,311924,317442,322887,328507,334112,340101,346026,352097,358535,364883,371330,377814,384463,391395,398380,405449,412685,419995,427416,434874,442461,450424,458386,466403,474682,483087,491459,500096,508680,517397,526177,535311,544563,553834,563497,573115,583017,592818,602841,613096,623237,633490,644118,654752,665555,676622,687731,698730,709812,721069,732385,743905,755691,767325,779154,791053,802908,815345,828145,841009,853921,867047,880284,893546,907326,920923,934714,948845,963350,977638,991981,1006935,1022020,1036924,1051997,1067169,1082797,1098416,1114128,1130312,1146416,1162807,1179451,1196339,1213243,1230242,1247288,1264526,1282147,1299633,1317412
1,1,1,1,2,2,3,3,5,7,7,7,7,8,9,9,9,12,15,18,20,21,26,28,30,31,31,32,32,32,35,38,42,47,51,52,52,52,60,65,66,72,76,84,89,92,97,101,101,102,107,110,115,117,121,129,132,135,137,141,146,150,158,167,169,174,180,183,187,194,199,202,207,214,219,220,224,229,235,244,248,257,263,272,278,285,298,304,314,326,339,348,352,367,385,390,400,404,415,424,431,443,452,459,467,476,482,500,513,524,538,552,566,579,601,630,660,687,711,741,766,812,852,884,923,967,1003,1050,1100,1142,1188,1229,1284,1331,1386,1449,1496,1557,1615,1676,1751,1820,1877,1961,2026,2082,2143,2207,2282,2368,2448,2523,2604,2682,2764,2840,2910,2981,3047,3131,3194,3276,3348,3418,3488,3552,3629,3707,3787,3866,3935,4013,4103,4200,4304,4393,4515,4644,4752,4881,5018,5168,5346,5482,5687,5861,6052,6244,6432,6660,6873,7104,7364,7649,7955,8238,8553,8856,9193,9515,9850,10185,10535,10932,11282,11669,12063,12440,12831,13241,13679,14134,14582,15044,15499,16037,16578,17172,17747,18326,18895,19526,20151,20768,21380,21993,22602,23208,23826,24461,25140,25769,26464,27123,27782,28472,29208,29914,30600,31318,32029,32779,33516,34337,35119,35906,36675,37523,38385,39247,40067,40928,41805,42724,43625,44609,45540,46472,47469,48526,49589,50653,51773,52921,54119,55311,56522,57766,59049,60280,61556,62899,64360,65810,67303,68867,70409,72063,73668,75314,77050,78799,80597,82443,84361,86215,88177,90172,92192,94209,96296,98389,100617,102920,105294,107707,110181,112680,115149,117781,120408,123157,125918,128786,131705,134707,137792,140835,144006,147173,150379,153669,156948,160282,163608,167036,170422,173935,177524,181289,184958,188688,192480,196261,200285,204518,208732,213031,217306,221807,226468,231092,235792,240590,245431,250441,255272,260213,265223,270333,275486,280923,286515,291982,297778,303509,309386,315361,321480,327556,333851,340311,346900,353779,360661,367520,374518,381671,389022,396417,403760,411426,419031,426835,434666,442818,450805,458990,467372,475914,484699,493615,502717,511931,521270,530775,540574,550536,560830,571127,581661,592367,603313,614310,625215,636639,647887,659475,670944,682686,694475,706448,718429,730856,743232,755678,768153,781051,794000,807090,820248,833674,847137,860743,874500,888490,902602,916828,931066,945522,960165,974794,989721,1004820,1019894,1035396,1050884,1066397,1082057,1097818,1113821,1129812,1145984,1162296,1178898,1195693,1212404,1229439,1246521,1263913,1281606,1299645,1317590,1335813,1354251,1372831,1391537,1410486,1429748,1448787,1468119,1487776,1507248,1527221,1547115,1567078,1587430,1607688,1628066,1648530,1669254,1690166,1711395,1732767,1754048,1775890,1797467,1819128,1840825,1862582,1884704,1906705,1928984,1951500,1974160,1996932,2019954,2042903,2065797,2089150,2112704,2136180,2159739,2183626,2207641,2231830,2256084,2280671,2305269,2329522,2354161,2378986,2403811,2429084,2454309,2479630,2505090,2530684,2556626,2582586,2608296,2634461,2660232,2686334,2712398,2738850,2764868
1,1,1,1,1,1,2,3,3,4,4,4,5,5,8,8,9,10,10,10,11,13,14,16,19,19,21,21,21,21,21,23,24,27,27,27,27,27,27,28,29,30,31,31,33,34,37,39,41,42,42,42,42,42,42,42,42,42,43,43,43,43,45,45,47,47,47,47,47,47,47,48,49,50,50,50,50,51,52,55,56,58,60,65,66,70,74,79,81,86,91,97,99,104,108,116,124,129,137,148,156,163,174,192,204,220,234,249,262,268,287,300,314,330,348,364,376,399,412,434,450,464,477,493,505,530,550,572,590,615,642,666,696,724,757,792,825,852,891,925,968,1001,1051,1098,1139,1185,1229,1262,1291,1327,1371,1413,1465,1524,1585,1642,1703,1752,1818,1886,1958,2039,2104,2178,2265,2346,2410,2505,2591,2681,2786,2867,2959,3056,3149,3231,3328,3416,3508,3596,3701,3800,3899,3997,4096,4208,4311,4429,4524,4627,4728,4838,4935,5058,5153,5277,5423,5515,5626,5737,5858,5946,6065,6165,6290,6404,6519,6647,6775,6893,7010,7090,7223,7350,7488,7614,7734,7871,8020,8168,8316,8452,8608,8778,8949,9103,9262,9441,9619,9812,9999,10173,10356,10587,10793,10981,11180,11396,11609,11828,12064,12295,12490,12715,12927,13157,13375,13607,13858,14099,14341,14571,14801,15016,15300,15550,15828,16124,16428,16724,17021,17353,17683,18050,18403,18740,19141,19510,19909,20357,20768,21227,21709,22156,22610,23132,23660,24141,24647,25149,25621,26102,26577,27092,27671,28214,28807,29403,29961,30540,31202,31894,32573,33241,33949,34679,35379,36148,36946,37746,38512,39341,40116,40940,41760,42533,43362,44252,45144,45963,46816,47689,48659,49630,50596,51600,52640,53704,54880,56039,57261,58498,59732,60963,62259,63557,64844,66121,67484,68852,70199,71550,72944,74422,75896,77354,78896,80475,82003,83657,85281,86918,88628,90388,92137,93977,95803,97684,99600,101606,103664,105712,107758,109873,112018,114169,116435,118754,121025,123369,125739,128195,130664,133238,135776,138268,140855,143620,146391,149301,152322,155473,158678,161893,165236,168750,172140,175752,179368,183148,187022,191073,195182,199355,203403,207708,212020,216629,221300,226082,230826,235609,240511,245459,250509,255723,261240,266734,272385,278097,284052,289976,295920,302177,308482,314785,321227,327642,334192,340893,347573,354416,361332,368257,375280,382551,389835,397098,404680,412298,419885,427757,435715,443817,451978,460302,468806,477454,486128,494943,503924,513225,522528,531839,541433,551297,561245,571357,581626,592017,602558,613152,623848,634813,645760,657026,668366,679792,691408,703000,714863,727068,739230,751452,764045,776800,789835,802859,815921,829558,843068,856701,870492,884376,898499,912912,927293,941778,956419,971136,986365,1001556,1017072,1032708,1048461,1064411,1080758,1097016,1113904,1130704,1147627,1164750,1181984,1199709,1217312,1235161,1253327,1271488,1289933,1308152,1326667,1345379,1363823,1382817,1401810,1420929,1440009
1,1,1,1,1,1,1,3,4,5,6,6,6,8,12,13,16,19,20,21,21,23,26,29,32,33,37,42,44,48,49,54,57,60,65,68,75,81,83,91,97,103,108,112,114,118,126,127,130,133,136,138,142,144,146,147,149,152,157,162,166,171,175,179,181,183,188,190,190,193,197,200,202,205,207,207,210,212,213,217,220,222,223,226,227,228,233,233,239,242,252,260,266,270,274,281,283,288,292,301,312,322,331,341,350,359,366,382,389,401,412,428,444,462,484,501,520,544,561,596,623,648,681,711,736,770,802,836,880,927,964,1000,1046,1099,1147,1190,1252,1291,1358,1411,1464,1531,1593,1645,1699,1765,1812,1877,1936,1992,2061,2156,2239,2309,2388,2484,2555,2640,2717,2811,2913,3009,3119,3206,3311,3419,3541,3656,3763,3883,4016,4143,4290,4424,4549,4700,4848,4994,5153,5312,5463,5618,5793,5958,6124,6281,6466,6631,6828,7007,7193,7378,7588,7825,8047,8245,8485,8730,8959,9216,9432,9687,9919,10170,10405,10637,10904,11171,11449,11730,11975,12249,12550,12829,13135,13451,13745,14089,14427,14756,15081,15442,15757,16128,16488,16888,17225,17625,17991,18393,18805,19219,19670,20081,20525,20984,21459,21927,22444,22944,23458,24022,24552,25105,25648,26201,26798,27465,28083,28741,29416,30038,30646,31311,31974,32746,33469,34196,34898,35631,36356,37075,37832,38555,39351,40169,40983,41787,42604,43446,44296,45144,46027,46954,47892,48835,49822,50790,51783,52827,53896,54975,56106,57277,58478,59682,60916,62231,63496,64831,66135,67578,69045,70578,72074,73624,75248,76776,78452,80131,81786,83490,85208,86983,88823,90681,92550,94548,96552,98553,100660,102836,105110,107488,109862,112399,114897,117442,120029,122752,125457,128244,131111,134022,137024,140010,142951,145979,149059,152138,155298,158546,161814,165101,168476,171931,175470,178985,182558,186130,189870,193755,197765,201789,205916,209959,214230,218554,223001,227618,232030,236672,241458,246236,251183,256151,261247,266389,271564,276752,282036,287439,293091,298799,304614,310573,316621,322818,329220,335640,342162,348899,355778,362745,369726,376986,384178,391534,399040,406828,414481,422282,430495,438559,446727,454992,463506,472166,480778,489605,498651,507833,517116,526531,536222,545977,555999,566325,576526,587079,597420,608099,618954,630221,641453,652675,664214,675761,687731,699719,711658,723855,736259,748778,761581,774562,787526,800772,814159,827898,841815,856115,870536,885042,899688,914708,929828,945105,960958,976723,992518,1008408,1024407,1040785,1057359,1074042,1090961,1107920,1125048,1142159,1159394,1176766,1194436,1212382,1230311,1248257,1266336,1284611,1303291,1321983,1341128,1360000,1378999,1398217,1417581,1437012,1456532,1476430,1496283,1516393,1536760,1557324,1578121,1598967,1619634,1640707,1662171,1683728,1705393,1727189,1748920,1770806,1792899,1814851,1837122,1859814,1882872,1905869,1928778,1952100,1975251,1998890,2022206,2045537,2069335,2093540,2117558,2141435,2165356,2189567,2213905,2238544,2263568,2288280,2313019,2338236,2363361
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1,1,1,1,1,1,1,1,1,2,3,4,5,5,6,7,8,11,12,14,16,17,18,20,20,24,26,26,28,31,33,36,39,40,44,48,52,56,58,61,64,68,70,74,77,78,80,83,88,95,100,103,113,118,130,136,141,146,152,159,163,171,182,191,195,202,215,222,233,244,256,267,275,283,288,296,300,307,318,327,337,344,351,362,373,381,389,400,409,416,429,449,458,469,481,492,504,519,531,552,566,582,601,619,635,652,673,691,721,741,763,799,824,846,873,904,931,953,984,1011,1039,1057,1088,1120,1145,1167,1197,1226,1244,1267,1299,1324,1350,1375,1407,1441,1471,1499,1520,1534,1551,1581,1607,1625,1648,1670,1685,1713,1725,1738,1764,1782,1802,1829,1841,1862,1877,1893,1902,1922,1937,1955,1971,1991,2006,2022,2029,2037,2053,2069,2076,2101,2116,2131,2147,2165,2181,2194,2207,2223,2236,2259,2281,2306,2330,2353,2375,2396,2421,2447,2477,2501,2530,2555,2583,2620,2655,2682,2719,2751,2780,2824,2858,2900,2936,2982,3016,3045,3088,3124,3169,3222,3259,3301,3351,3392,3448,3499,3564,3634,3738,3850,3960,4058,4189,4300,4405,4518,4621,4740,4851,4974,5095,5209,5316,5443,5565,5686,5792,5904,6024,6155,6301,6443,6565,6713,6882,7065,7244,7436,7615,7791,7968,8138,8320,8488,8666,8841,9015,9185,9353,9521,9665,9840,9998,10154,10313,10485,10643,10828,10998,11165,11318,11470,11628,11801,11992,12181,12365,12555,12748,12947,13138,13315,13521,13758,14007,14241,14499,14770,15031,15302,15601,15912,16221,16525,16823,17105,17438,17708,18062,18409,18740,19061,19390,19755,20125,20488,20825,21168,21514,21866,22233,22581,22927,23317,23741,24181,24556,24953,25394,25806,26255,26734,27232,27728,28223,28778,29309,29865,30449,31004,31567,32148,32839,33430,34024,34629,35282,35913,36578,37224,37878,38521,39144,39788,40459,41203,41885,42550,43270,44004,44796,45584,46304,47107,47875,48638,49440,50227,51019,51825,52674,53527,54347,55197,56089,57008,57927,58978,59952,60911,61979,62984,64063,65098,66279,67452,68618,69888,71159,72385,73734,75024,76360,77681,79020,80406,81804,83257,84682,86164,87649,89169,90801,92486,94259,95903,97685,99438,101267,103116,105021,106988,109008,111033,113120,115179,117240,119436,121683,123969,126262,128682,131165,133748,136217,138816,141386,143947,146622,149211,151981,154643,157544,160407,163261,166095,169117,172157,175299,178477,181772,185106,188552,192001,195497,199196,203089,206867,210819,214781,218841,222976,227104,231169,235357,239601,243728,248115,252507,256958,261437,266212,270962,275607,280187,284892,289831,294655,299670,304859,310228,315445,320670,326142,331707,337413,343234,349234,355245,361333,367578,373822,380168,386558,393129,399817,406461,413290,420131,427281,434276,441525,448712,455998,463362,471100,479006,487041,495080,503346,511442,519801,528252,536750,545358
1,1,1,1,1,1,1,3,3,3,4,6,11,11,12,13,15,18,21,22,25,27,30,31,34,36,37,42,50,56,64,74,82,87,97,108,113,121,129,134,138,142,148,151,155,160,163,173,182,191,199,207,217,224,236,243,260,270,276,283,291,298,306,309,317,320,324,333,339,345,353,360,365,367,375,379,384,387,390,397,404,405,414,420,427,432,438,440,447,454,459,460,466,473,480,488,496,506,512,515,519,526,531,541,546,554,562,565,574,584,587,593,607,615,622,626,638,645,657,674,685,702,722,740,764,793,810,830,858,878,901,926,946,973,1000,1020,1038,1069,1090,1117,1153,1179,1202,1225,1247,1269,1293,1322,1345,1368,1400,1416,1440,1460,1481,1499,1518,1533,1563,1585,1607,1625,1648,1665,1680,1697,1712,1740,1761,1783,1801,1829,1856,1883,1904,1926,1955,1978,2002,2028,2059,2083,2118,2146,2176,2204,2230,2270,2303,2343,2392,2443,2481,2528,2578,2631,2675,2752,2803,2872,2925,2977,3042,3129,3219,3302,3379,3447,3523,3599,3700,3789,3904,3999,4082,4171,4284,4394,4498,4596,4715,4836,4946,5048,5173,5298,5418,5514,5641,5767,5885,6007,6140,6304,6449,6598,6735,6888,7032,7188,7348,7493,7685,7869,8044,8229,8400,8604,8786,8972,9185,9375,9596,9796,9994,10215,10455,10703,10952,11180,11420,11700,11974,12255,12536,12858,13147,13472,13811,14176,14532,14953,15354,15760,16188,16574,16984,17378,17810,18233,18663,19086,19527,19978,20389,20862,21327,21816,22316,22817,23320,23822,24367,24908,25497,26071,26658,27263,27907,28549,29203,29938,30620,31298,31988,32729,33453,34158,35007,35860,36729,37586,38543,39496,40533,41543,42560,43580,44569,45657,46781,47878,49055,50200,51348,52563,53798,55069,56354,57698,59048,60458,61817,63179,64616,66042,67450,68949,70402,71955,73547,75009,76667,78307,79998,81694,83538,85407,87291,89204,91130,93038,94986,96981,98960,100966,102869,104849,106861,108986,111025,113148,115302,117491,119621,121876,124117,126406,128634,131008,133354,135752,138185,140625,143141,145731,148248,150848,153517,156235,158994,161807,164597,167464,170390,173286,176228,179408,182464,185635,188883,192174,195473,198872,202259,205726,209232,212820,216344,220114,223758,227530,231350,235201,239196,243106,247133,251242,255430,259574,263827,268209,272666,277095,281661,286316,291064,295924,300750,305654,310421,315463,320418,325414,330627,335888,341191,346628,352096,357682,363270,368860,374493,380286,386194,392073,397989,403967,410096,416410,422759,429084,435597,442139,448807,455657,462524,469497,476637,484125,491480,499072,506703,514352,522117,529961,538117,546485,554621,562955,571344,579736,588330,597089,605868,614810,623570,632564,641763,650879,660080,669348,679050,688744,698507,708272,718349,728577,738729,749156,759777,770574,781483,792556,803732,814953,826362,837800,849145,860544,872244,884016,896088,908079,920356,932594,944899
1,1,1,1,1,1,4,6,6,6,6,6,8,8,8,9,9,9,13,14,15,16,17,18,19,20,22,24,25,25,27,28,29,31,32,33,33,33,33,34,35,37,37,38,40,41,43,46,49,49,51,52,52,55,58,62,65,69,70,74,78,84,91,95,98,101,102,105,112,116,119,120,124,132,132,135,139,146,152,157,163,166,171,173,176,182,187,187,192,198,204,210,215,224,230,237,250,257,266,274,281,296,301,306,313,320,328,333,345,357,362,379,389,397,413,423,437,453,469,484,504,522,535,548,558,573,587,603,613,624,637,651,670,683,699,712,724,738,750,763,775,786,798,816,830,845,863,887,905,924,944,966,987,1010,1028,1054,1078,1107,1124,1148,1171,1191,1210,1232,1252,1275,1306,1330,1361,1389,1407,1434,1478,1526,1574,1610,1667,1719,1776,1838,1907,1981,2059,2144,2233,2310,2395,2499,2626,2727,2820,2936,3041,3145,3256,3364,3467,3599,3724,3885,4022,4145,4274,4424,4588,4731,4904,5039,5188,5363,5539,5765,5973,6183,6427,6656,6880,7144,7363,7602,7832,8081,8322,8581,8799,9068,9293,9565,9844,10096,10365,10670,11025,11363,11710,12060,12443,12813,13201,13642,14077,14509,14968,15435,15910,16418,16883,17406,17881,18372,18885,19452,19983,20546,21108,21756,22398,23035,23670,24314,24987,25649,26397,27108,27847,28605,29374,30179,31005,31817,32657,33464,34315,35169,36032,36921,37810,38687,39595,40535,41417,42367,43326,44304,45280,46303,47365,48437,49470,50586,51723,52855,54010,55130,56291,57379,58492,59728,60961,62186,63451,64682,65905,67165,68368,69640,70954,72299,73706,75067,76479,77927,79408,80881,82369,83917,85510,87184,88890,90576,92194,93887,95684,97463,99283,101137,103027,105014,106934,108968,110986,112969,115008,117211,119250,121387,123560,125904,128157,130350,132706,135242,137670,140165,142668,145178,147832,150568,153277,156030,158836,161722,164758,167651,170602,173618,176769,179866,183017,186226,189432,192642,195915,199242,202621,206172,209653,213292,216984,220752,224666,228711,232651,236814,240983,245306,249696,254183,258839,263581,268413,273362,278335,283520,288813,294087,299535,304879,310604,316222,322041,328003,333988,340061,346244,352520,358925,365448,371967,378724,385660,392770,399809,407041,414292,421742,429252,436867,444534,452325,460375,468630,477152,485826,494423,503157,511961,520915,529982,539190,548353,557651,567228,577058,587142,597272,607466,617922,628260,638799,649575,660628,671643,683006,694624,706339,718209,730133,742122,754422,766923,779323,792180,805025,818095,831252,844584,858023,871628,885214,899015,913035,926956,941099,955069,969459,983899,998584,1013235,1027970,1043088,1058261,1073522,1088703,1104321,1119929,1135768,1151535,1167541,1183603,1199678,1215984,1232537,1249263,1265980,1282724,1299822,1316885,1334355,1351738,1369374,1387395,1405084,1423290,1441909,1460339,1479169,1498043,1516743,1536051,1555306,1574847,1594533,1614377,1634463,1654391,1674381
1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,5,5,6,9,9,9,11,11,11,11,14,16,16,18,21,22,23,26,30,34,38,44,50,57,61,67,76,81,87,102,112,128,144,151,169,191,208,238,274,322,377,434,496,561,631,701,773,841,912,990,1064,1142,1215,1276,1357,1405,1474,1530,1585,1637,1683,1736,1791,1843,1899,1953,2001,2065,2132,2215,2297,2380,2470,2564,2657,2783,2895,3027,3147,3287,3424,3534,3662,3785,3940,4074,4200,4331,4460,4559,4688,4810,4936,5064,5199,5312,5430,5558,5684,5798,5933,6071,6238,6362,6513,6710,6844,6984,7152,7308,7478,7633,7809,8017,8227,8434,8632,8825,9009,9213,9385,9616,9835,10013,10227,10443,10683,10908,11119,11336,11525,11763,11982,12230,12453,12668,12903,13154,13400,13618,13880,14128,14393,14654,14917,15186,15461,15752,16064,16380,16702,17003,17323,17662,18019,18364,18729,19146,19523,19845,20242,20592,20997,21396,21788,22177,22567,22971,23373,23811,24255,24714,25145,25614,26050,26532,27047,27572,28083,28596,29132,29694,30258,30795,31409,32022,32643,33233,33880,34564,35282,35929,36620,37283,37973,38685,39349,40083,40808,41584,42333,43127,43951,44793,45632,46493,47384,48260,49142,50062,51052,51988,52961,54033,55070,56087,57159,58306,59443,60594,61825,63090,64330,65544,66726,67939,69170,70479,71792,73131,74465,75845,77301,78716,80201,81756,83295,84947,86488,88084,89748,91494,93260,95004,96886,98805,100813,102706,104875,107030,109068,111163,113354,115608,117965,120250,122701,125084,127596,130095,132715,135351,138146,140852,143665,146474,149388,152424,155504,158607,161795,165093,168442,171876,175314,178826,182443,186202,189825,193591,197444,201289,205325,209303,213439,217662,221888,226146,230539,234824,239306,243973,248482,253105,257885,262649,267579,272494,277498,282643,287770,292852,298384,304116,309779,315426,321310,327160,333249,339329,345641,352012,358333,364950,371627,378549,385477,392477,399534,406802,414176,421754,429333,436957,444775,452561,460372,468534,476780,485002,493337,501778,510164,518963,527641,536351,545042,554150,563272,572789,582472,592336,602443,612724,622974,633514,644193,654959,665883,677008,688278,699792,711565,723400,735667,748078,760618,773607,786537,799743,813008,826533,840174,854058,868203,882188,896695,911243,926081,940895,955820,970889,986248,1001725,1017360,1033137,1048830,1064541,1080656,1097153,1113466,1130085,1146935,1163950,1180933,1197995,1215151,1232505,1250136,1267938,1285715,1303544,1321503,1339628,1357767,1376079,1394498,1413202,1432039,1451003,1469892,1488880,1508105,1527387,1546844,1566644,1586572,1606560,1626365,1646432,1666734,1686943,1707341,1727757,1748527,1769330,1790231,1811198,1832281,1853599,1875099,1896752,1918465,1940204,1961963,1984263,2006350,2028756,2051375,2073614,2096213,2119413,2142275,2165397,2188609,2211731,2234926,2258630,2282457,2306701,2331024,2355126,2379976,2404723,2429522,2454302,2479557,2504558,2530060,2555167,2580433,2605698,2631523,2656990,2682985,2708579,2734371,2760541,2786523,2812701,2839054,2865325,2891905,2918480,2945045,2971737,2998392,3025349,3052426,3079311,3106201,3133624,3160856,3188362,3215636
1,1,1,1,11,20,22,28,41,63,85,125,159,194,239,312,404,486,584,669,772,860,932,1030,1089,1182,1266,1344,1408,1496,1572,1634,1699,1774,1838,1895,1979,2055,2135,2220,2322,2435,2550,2666,2794,2932,3060,3182,3317,3440,3557,3669,3796,3919,4028,4135,4247,4352,4468,4595,4716,4843,4975,5121,5293,5449,5617,5797,5967,6138,6329,6506,6690,6882,7077,7267,7434,7609,7768,7954,8121,8289,8433,8606,8774,8936,9107,9281,9460,9661,9840,10029,10234,10447,10677,10885,11094,11289,11507,11725,11945,12191,12399,12604,12818,13067,13267,13474,13689,13890,14076,14289,14486,14670,14843,15019,15233,15441,15653,15861,16075,16304,16530,16760,16989,17207,17443,17693,17957,18203,18459,18705,18957,19220,19519,19794,20122,20452,20806,21189,21542,21881,22203,22525,22896,23246,23575,23958,24307,24650,25059,25402,25733,26123,26487,26846,27236,27608,27998,28376,28815,29224,29644,30062,30485,30938,31375,31844,32320,32849,33418,33916,34416,34919,35454,35936,36476,37002,37605,38203,38782,39343,39941,40561,41176,41795,42448,43086,43749,44387,45095,45787,46477,47182,47933,48653,49413,50184,50898,51693,52454,53233,54009,54788,55581,56380,57163,57971,58836,59674,60547,61491,62403,63355,64329,65351,66288,67300,68322,69386,70487,71660,72844,74070,75313,76590,77807,79098,80398,81686,82986,84325,85708,87139,88662,90202,91752,93305,94903,96544,98290,100149,101954,103852,105710,107762,109752,111846,113839,115895,118048,120252,122433,124632,126851,129119,131481,133715,136081,138497,140994,143457,146016,148519,151080,153638,156182,158811,161508,164227,167058,169900,172738,175658,178598,181581,184601,187609,190710,193809,196910,200167,203511,206754,210207,213635,217125,220763,224420,228197,232019,235853,239832,243787,247855,252051,256219,260480,264871,269372,273983,278701,283623,288584,293730,298851,304070,309543,314910,320517,326114,332007,337941,343996,350068,356108,362333,368687,375244,381887,388551,395351,402114,409136,416153,423140,430153,437324,444633,451897,459367,466945,474481,482094,489948,497733,505681,513709,521999,530446,538965,547573,556373,565193,574294,583443,592618,602163,611651,621084,631050,640977,651090,661345,671778,682189,692751,703418,714262,725073,736041,747053,758190,769509,780905,792368,804039,815763,827670,839445,851619,863728,876082,888522,900997,913427,926134,939087,951890,964963,978343,991811,1005598,1019202,1033143,1047228,1061327,1075856,1090608,1105438,1120350,1135468,1150723,1166155,1181744,1197459,1213453,1229873,1246133,1262564,1279186,1295827,1312445,1329311,1346255,1363487,1380953,1398509,1416251,1434043,1452371,1470640,1488937,1507500,1526198,1545008,1564084,1583200,1602452,1621899,1641427,1661097,1680656,1700147,1720174,1740443,1760461,1781144,1801568,1822059,1842550,1863288,1884161,1905060,1925911,1946735,1967814,1989134,2010428,2031713,2053197,2074664,2096414,2118456,2140868,2163233,2185742,2208200,2231002,2253860,2276905,2299971,2323184,2346613,2370485,2394157,2417962,2441958,2465909,2489840,2514303,2538954,2563749,2588629,2613911,2638743,2663781,2689283,2714836,2740839,2766631,2792563,2818462,2844953,2871347,2898147,2924846,2951867,2978301,3004866,3031585,3058533,3085660,3112806,3139807,3166933,3194021,3221709,3249040,3276364,3304139,3331806,3359483,3387303,3415387,3443516,3471699
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1,1,1,1,1,7,7,8,8,11,12,13,13,13,13,14,14,15,15,18,20,21,22,22,24,26,27,31,33,36,36,39,48,50,54,57,64,66,72,74,78,85,90,94,99,108,110,121,127,131,133,139,143,147,154,160,168,173,185,190,196,204,211,218,225,231,247,257,265,276,285,295,308,316,331,361,383,410,445,495,533,577,625,670,722,785,839,885,923,983,1041,1096,1160,1230,1276,1328,1375,1410,1467,1527,1575,1622,1689,1742,1797,1880,1945,2002,2074,2151,2235,2312,2400,2494,2574,2664,2758,2856,2946,3044,3131,3203,3283,3354,3426,3506,3584,3650,3718,3785,3868,3919,3975,4050,4117,4173,4232,4291,4356,4418,4476,4535,4595,4669,4722,4785,4845,4902,4984,5052,5124,5197,5263,5344,5425,5506,5580,5648,5724,5791,5878,5966,6058,6150,6247,6342,6439,6541,6636,6742,6854,6947,7054,7167,7281,7386,7493,7606,7712,7816,7922,8034,8172,8287,8407,8513,8601,8708,8823,8929,9036,9145,9252,9374,9481,9575,9683,9811,9924,10040,10156,10279,10391,10520,10635,10761,10868,10988,11104,11235,11385,11532,11705,11880,12050,12249,12460,12673,12891,13105,13312,13550,13785,14029,14276,14536,14779,15013,15268,15534,15793,16080,16346,16640,16907,17229,17546,17867,18210,18551,18864,19190,19542,19901,20261,20644,20997,21336,21698,22061,22421,22816,23218,23619,24025,24457,24877,25320,25725,26151,26568,27004,27449,27926,28449,28978,29514,30001,30514,31102,31660,32289,32917,33545,34166,34832,35486,36181,36881,37661,38426,39257,40076,40881,41753,42648,43585,44527,45455,46421,47400,48418,49443,50444,51533,52666,53801,54963,56168,57364,58536,59770,61037,62281,63636,65047,66489,67974,69455,70927,72475,74071,75702,77288,78941,80616,82302,83982,85695,87416,89193,90993,92845,94741,96644,98732,100808,102882,105035,107334,109636,111891,114253,116670,119111,121688,124182,126732,129411,132058,134733,137409,140156,143000,145893,148817,151786,154733,157738,160813,163909,167042,170185,173470,176616,179839,183218,186663,190131,193752,197349,201056,204801,208561,212320,216068,219865,223738,227675,231692,235789,239962,244102,248409,252600,256878,261357,265881,270566,275281,280207,285031,290018,294944,300086,305267,310532,315690,321091,326640,332255,337951,343783,349653,355642,361681,367790,374077,380275,386549,392967,399428,405884,412456,419014,425677,432579,439591,446715,453909,461109,468315,475750,483261,490902,498460,506256,514199,522218,530237,538514,546873,555386,564168,572881,581739,590815,599971,609204,618507,628137,637679,647412,657454,667517,677668,687776,698061,708655,719117,729859,740835,751963,762987,774141,785367,796664,808064,820004,831784,843634,855660,867836,880136,892524,905028,917753,930414,943602,956945,970166,983851,997625,1011610,1025689,1039759,1053870,1068286,1082923,1097993,1112922,1128150,1143510,1159109,1174800,1190664,1206642,1222559,1238716,1255591,1272231,1288820,1305516,1322393,1339480,1356615,1373986,1391474,1409246,1427334,1445265,1463451,1481733,1500354,1519138,1538002,1557252
1,1,1,1,1,1,2,3,4,4,4,4,5,5,7,7,8,9,9,10,10,11,11,12,13,18,18,19,19,22,22,23,24,28,35,38,40,47,56,57,60,62,70,77,80,82,88,91,95,99,101,103,109,114,117,123,128,131,141,144,149,154,160,169,179,188,195,203,215,225,232,240,256,266,278,290,305,322,329,347,355,368,384,396,406,418,430,444,460,473,479,486,499,514,527,538,553,567,585,593,607,628,661,682,700,724,741,764,789,812,828,846,865,886,910,931,955,983,1015,1043,1059,1081,1112,1140,1170,1188,1214,1242,1272,1297,1331,1363,1396,1435,1464,1501,1534,1576,1610,1639,1673,1701,1722,1757,1792,1826,1862,1904,1954,1989,2025,2062,2107,2163,2224,2260,2311,2362,2408,2459,2528,2596,2706,2830,2952,3087,3226,3368,3515,3685,3825,3968,4110,4255,4412,4559,4711,4864,5010,5182,5353,5544,5739,5943,6130,6351,6569,6763,6981,7181,7389,7600,7764,7930,8069,8241,8399,8541,8675,8811,8957,9111,9270,9401,9549,9686,9811,9942,10069,10195,10322,10454,10607,10739,10878,11002,11118,11242,11352,11474,11597,11731,11868,11982,12097,12233,12354,12472,12579,12690,12809,12954,13074,13189,13329,13461,13587,13731,13876,14010,14162,14301,14445,14556,14686,14823,14958,15114,15251,15396,15556,15688,15849,16016,16176,16363,16550,16718,16897,17094,17334,17541,17755,17972,18198,18442,18684,18908,19149,19404,19632,19877,20139,20365,20632,20923,21171,21414,21664,21925,22200,22486,22750,22997,23262,23496,23773,24033,24276,24550,24862,25160,25483,25749,26025,26324,26633,26954,27244,27578,27952,28325,28658,29022,29372,29750,30137,30552,30968,31370,31791,32231,32645,33063,33485,33948,34406,34865,35353,35842,36312,36809,37291,37775,38238,38725,39233,39769,40241,40748,41300,41806,42356,42889,43451,44061,44607,45201,45795,46396,46990,47623,48192,48833,49474,50073,50659,51302,51950,52592,53321,54024,54763,55556,56252,57015,57780,58540,59264,60087,60859,61638,62491,63355,64244,65206,66209,67197,68242,69227,70237,71228,72301,73437,74546,75708,76936,78206,79378,80706,81983,83358,84709,86069,87463,88943,90348,91851,93377,94768,96338,97910,99491,101158,102817,104540,106293,108200,110065,111920,113926,116029,118139,120382,122662,125048,127429,129811,132362,134786,137334,139879,142538,145221,147965,150738,153498,156352,159279,162189,165198,168115,171100,174179,177222,180284,183349,186515,189635,192850,196163,199536,203011,206580,210199,213813,217587,221305,225215,229160,233269,237378,241636,245972,250328,254720,259081,263763,268336,273093,277876,282850,287898,293123,298588,304144,309888,315768,321650,327708,334097,340658,347277,353824,360655,367530,374501,381619,388854,396167,403686,411367,418972,426734,434623,442467,450474,458927,467501,476094,484790,493634,502608,511776,520861,530328,539687,549406,559275,569253,579206,589357,599646,609894,620514,631157,641833
1,1,1,7,8,10,10,10,10,11,15,17,19,25,30,31,36,36,38,40,42,43,47,52,56,63,67,74,75,80,83,90,99,108,112,121,125,127,130,134,140,143,150,154,160,165,172,185,194,202,212,222,229,236,244,256,267,282,292,304,311,320,333,341,352,367,384,398,412,421,436,448,458,470,484,491,510,530,548,562,578,590,611,621,636,648,661,672,703,719,728,745,770,790,812,841,874,895,920,955,998,1025,1047,1079,1110,1147,1173,1206,1242,1265,1283,1305,1335,1372,1402,1419,1438,1469,1491,1517,1538,1563,1579,1604,1642,1663,1688,1716,1736,1757,1776,1806,1822,1841,1857,1891,1913,1936,1957,1982,2007,2029,2041,2064,2080,2115,2144,2167,2193,2225,2268,2300,2338,2377,2430,2464,2515,2567,2607,2646,2697,2735,2787,2825,2889,2925,2975,3030,3069,3108,3158,3221,3258,3294,3345,3389,3435,3474,3517,3563,3613,3673,3718,3774,3820,3882,3945,3986,4039,4103,4170,4232,4296,4355,4431,4492,4560,4643,4706,4806,4901,5020,5155,5312,5452,5653,5841,6061,6262,6493,6751,7017,7258,7485,7726,7951,8199,8395,8622,8872,9112,9345,9600,9853,10121,10372,10626,10877,11148,11415,11667,11969,12252,12520,12813,13115,13440,13730,14047,14330,14640,14944,15254,15545,15806,16099,16368,16631,16886,17152,17397,17665,17955,18242,18478,18724,18993,19267,19515,19770,20013,20262,20488,20717,20959,21197,21429,21666,21892,22140,22372,22614,22883,23172,23446,23718,24026,24293,24618,24928,25236,25569,25912,26291,26713,27109,27494,27913,28310,28702,29103,29512,29934,30359,30781,31222,31673,32132,32569,32984,33418,33865,34317,34791,35279,35768,36254,36729,37225,37770,38329,38916,39425,40005,40584,41208,41827,42454,43089,43733,44381,45038,45755,46534,47308,48055,48870,49758,50558,51424,52319,53221,54176,55186,56192,57259,58315,59357,60441,61495,62532,63603,64727,65861,67003,68182,69348,70485,71730,72996,74225,75524,76850,78156,79443,80779,82101,83479,84886,86241,87679,89228,90819,92411,93948,95677,97420,99075,100789,102580,104395,106206,108213,110232,112311,114363,116561,118775,121046,123246,125481,127867,130321,132788,135329,137866,140525,143135,145811,148494,151223,153989,156830,159719,162751,165655,168683,171640,174755,177859,181013,184139,187328,190539,193749,197085,200455,203827,207313,210898,214540,218274,221981,225846,229899,233832,237918,242162,246461,250867,255441,260167,264852,269722,274708,279730,284833,290003,295136,300294,305697,311017,316536,322253,327860,333742,339615,345639,351875,358068,364275,370530,377102,383729,390402,397421,404286,411372,418809,426149,433801,441693,449636,457775,466073,474399,482885,491370,500073,508989,518107,527226,536490,545573,555128,564889,574663,584563,594619,604929,615307,625913,636556,647512,658404,669522,680803,692260,703955,715665,727495,739428,751531,763787,776147,788449,801166,813841,826777,839780,852645,865881,879095,892283,905600,919179,932646
1,1,1,2,2,4,5,6,6,8,8,9,12,14,14,17,18,18,18,21,23,24,25,26,26,27,30,31,32,33,34,36,39,40,41,41,41,42,42,46,48,48,48,49,51,52,53,53,53,56,57,59,61,63,65,70,79,83,86,90,94,97,99,107,116,127,134,140,149,154,169,184,195,208,217,232,246,261,278,291,305,320,337,351,359,374,382,392,404,410,421,430,438,442,453,464,482,490,498,509,515,521,533,542,552,569,579,598,607,615,628,647,656,667,672,688,709,723,740,766,778,788,812,824,852,873,889,906,929,949,970,985,1003,1020,1042,1067,1095,1116,1134,1153,1172,1197,1218,1236,1255,1269,1294,1312,1323,1329,1342,1359,1375,1388,1403,1420,1438,1446,1459,1473,1489,1505,1516,1527,1547,1562,1584,1604,1618,1630,1651,1669,1692,1714,1736,1763,1786,1804,1823,1837,1862,1891,1920,1955,1986,2004,2021,2034,2058,2074,2107,2140,2171,2205,2236,2274,2311,2346,2381,2423,2474,2512,2561,2584,2632,2684,2734,2784,2830,2863,2912,2980,3025,3075,3137,3191,3242,3303,3358,3408,3456,3512,3563,3609,3680,3754,3824,3880,3950,4012,4061,4133,4200,4261,4321,4398,4465,4552,4613,4678,4764,4829,4891,4959,5048,5103,5197,5271,5346,5425,5512,5592,5662,5748,5825,5906,5972,6048,6125,6182,6251,6320,6382,6457,6516,6572,6648,6712,6797,6871,6939,6999,7054,7137,7213,7288,7369,7452,7525,7606,7707,7790,7884,7986,8096,8203,8317,8463,8610,8745,8918,9064,9232,9422,9606,9784,9965,10169,10369,10576,10778,10971,11186,11401,11595,11817,12005,12231,12487,12699,12927,13171,13374,13602,13844,14091,14343,14588,14862,15129,15396,15645,15939,16228,16528,16847,17184,17539,17881,18202,18548,18904,19253,19624,20017,20432,20850,21263,21710,22151,22598,23052,23544,24008,24471,24988,25477,25993,26482,27044,27550,28111,28659,29189,29706,30205,30766,31292,31826,32436,33025,33608,34226,34825,35448,36085,36703,37370,38037,38730,39412,40094,40829,41534,42329,43065,43834,44642,45441,46297,47150,48000,48887,49774,50738,51683,52640,53614,54538,55506,56526,57632,58715,59815,60943,62050,63161,64312,65464,66618,67773,68908,70114,71388,72716,74043,75361,76686,77992,79387,80805,82256,83828,85355,86877,88445,90022,91631,93218,94928,96589,98324,100009,101763,103528,105378,107276,109234,111216,113131,115140,117129,119192,121270,123452,125646,127915,130264,132558,135015,137359,139751,142227,144744,147334,149954,152649,155444,158230,161178,164042,166935,169941,172962,176101,179305,182473,185659,188990,192473,195860,199434,203026,206689,210479,214378,218211,222292,226449,230658,234906,239204,243676,248185,252746,257260,261942,266638,271489,276289,281300,286271,291303,296463,301681,306991,312438,317874,323246,328803,334581,340397,346179,352241,358186,364304,370638
1,1,1,1,1,2,3,4,4,5,5,5,5,6,8,10,10,10,10,10,10,10,10,12,12,14,15,16,20,23,25,26,28,31,34,40,42,42,43,44,45,49,54,57,63,65,71,75,77,86,92,98,108,114,120,129,141,158,172,193,204,221,242,257,281,300,317,339,364,392,424,453,479,505,530,554,576,604,627,648,670,691,723,768,801,830,864,896,935,970,1010,1042,1081,1111,1147,1183,1224,1269,1301,1336,1368,1391,1434,1465,1494,1523,1550,1584,1619,1642,1667,1693,1720,1749,1780,1805,1829,1867,1893,1924,1961,1987,2015,2043,2082,2122,2162,2213,2260,2300,2343,2385,2433,2477,2521,2558,2604,2656,2703,2765,2809,2853,2933,2997,3071,3124,3194,3255,3304,3377,3463,3551,3631,3744,3845,3941,4027,4132,4247,4339,4462,4570,4674,4790,4921,5046,5175,5307,5435,5562,5673,5795,5922,6054,6176,6316,6457,6606,6740,6872,7000,7151,7333,7485,7642,7784,7952,8117,8278,8437,8615,8791,8988,9176,9359,9541,9748,9962,10171,10401,10602,10821,11085,11307,11536,11777,11988,12223,12474,12711,12945,13207,13461,13719,13965,14217,14484,14759,15010,15255,15545,15828,16145,16431,16726,17065,17358,17688,18009,18314,18661,19012,19356,19723,20109,20474,20820,21215,21651,22021,22467,22907,23354,23812,24270,24716,25206,25714,26222,26723,27259,27788,28313,28893,29463,30070,30671,31305,31904,32529,33196,33901,34618,35335,36079,36778,37541,38333,39060,39844,40692,41598,42462,43249,44074,44967,45861,46830,47771,48683,49659,50633,51601,52592,53581,54615,55710,56817,57891,59016,60160,61280,62445,63651,64909,66261,67541,68863,70214,71574,73005,74442,75894,77396,78987,80555,82179,83721,85263,86867,88522,90108,91752,93398,95111,96832,98582,100413,102257,104163,106124,108107,110091,112157,114266,116410,118722,121036,123276,125513,127822,130148,132522,134961,137440,139992,142504,145057,147705,150362,153076,155795,158623,161521,164571,167611,170798,173949,177173,180416,183602,187036,190395,193746,197242,200705,204335,207985,211639,215307,219106,222742,226568,230561,234633,238710,242793,247012,251288,255556,260005,264447,269117,273744,278460,283363,288245,293271,298340,303573,308963,314429,319948,325652,331436,337261,343220,349306,355408,361475,367638,374008,380587,387120,393713,400452,407189,413780,420505,427258,434154,441090,448159,455120,462026,469163,476345,483564,490846,498107,505549,513067,520611,528300,536080,543870,551846,559977,568217,576577,585136,593779,602341,611220,620240,629300,638543,647893,657298,666834,676714,686576,696354,706514,716873,727252,737811,748435,759293,770398,781750,793022,804472,816029,827847,839730,851762,863729,876233,888731,901336,914132,927137,940213,953545,967170,981211,995192,1009129,1023273,1037385,1051837,1066283,1080890,1095724,1110683,1125884,1141124,1156557,1172469,1188342,1204371,1220559,1237190,1253914,1270876,1287901,1305130,1322536,1340076,1357791,1375533,1393477,1411435,1429631,1447931,1466268,1484803,1503563,1522386,1541150,1560289,1579443,1598680,1617770,1637217,1657176
1,1,1,1,1,1,1,1,2,3,4,4,5,7,7,7,7,7,7,7,9,9,11,15,16,19,24,25,30,35,39,44,49,51,53,64,71,81,92,100,106,110,117,128,136,142,153,162,169,177,190,199,211,220,230,232,236,248,266,274,285,293,302,313,328,346,360,373,394,403,417,426,439,455,467,475,492,506,524,541,558,574,587,603,617,635,648,661,674,696,717,735,757,765,779,796,810,821,833,839,849,862,871,885,892,903,917,927,936,956,973,992,1000,1011,1021,1030,1042,1054,1065,1081,1092,1102,1118,1129,1138,1150,1162,1177,1194,1211,1226,1247,1259,1276,1294,1318,1338,1363,1388,1409,1430,1444,1475,1498,1520,1538,1556,1580,1597,1616,1629,1652,1676,1695,1712,1734,1763,1799,1831,1854,1880,1912,1944,1977,2012,2040,2075,2117,2160,2211,2255,2308,2359,2414,2479,2541,2595,2660,2722,2793,2857,2931,2999,3067,3141,3214,3291,3367,3443,3513,3591,3649,3718,3809,3893,3986,4087,4173,4296,4395,4501,4611,4729,4838,4973,5091,5230,5357,5517,5674,5819,5987,6147,6310,6482,6657,6846,7035,7208,7395,7595,7815,8033,8225,8450,8658,8873,9133,9378,9635,9911,10204,10494,10801,11128,11466,11808,12155,12505,12882,13244,13635,14012,14370,14724,15068,15412,15830,16256,16628,17028,17442,17868,18297,18740,19148,19560,19976,20423,20838,21275,21757,22261,22786,23280,23765,24272,24822,25447,26078,26692,27357,28047,28712,29414,30108,30875,31555,32301,33038,33855,34727,35589,36414,37269,38181,39156,40081,41008,41964,42981,44048,45176,46370,47530,48757,49963,51166,52431,53739,55011,56413,57752,59134,60549,61915,63412,64898,66492,68023,69552,71070,72742,74373,76037,77769,79550,81506,83347,85263,87098,89027,90979,93042,95183,97221,99306,101426,103681,105877,108111,110503,112998,115386,117787,120321,122841,125461,127950,130552,133205,135920,138742,141441,144105,146794,149698,152610,155464,158449,161425,164494,167529,170789,174039,177352,180677,184075,187483,191153,194709,198525,202291,206245,210232,214231,218258,222421,226692,230905,235310,239708,244313,248954,253558,258383,263285,268210,273352,278717,284031,289340,294811,300389,306019,311832,317618,323390,329514,335586,341919,348303,354874,361461,368276,375161,382206,389258,396497,403819,411198,418773,426452,434172,442074,450186,458368,466689,475312,483883,492875,501836,510954,520268,529847,539606,549519,559440,569592,579729,590177,600626,610996,621797,632396,643429,654497,665693,677006,688485,699910,711704,723418,735297,747250,759425,771715,784139,796966,809700,822688,835796,849098,862238,875622,889278,902994,916849,930765,944825,959086,973433,988076,1002609,1017548,1032764,1048066,1063460,1079176,1094912,1110683,1126734,1142999,1159228,1175678,1192558,1209328,1226169,1243202,1260541,1278068,1295345,1313234,1330987,1348753,1366715,1385004,1403169,1421419,1439637,1458146,1476905,1495546,1513988,1532807,1551734,1571052,1590478,1609784,1629596,1649225,1669269,1689380,1709216,1729300,1749727,1769995
1,1,1,2,3,4,4,5,6,8,11,13,14,16,18,21,23,24,25,25,27,29,33,37,47,51,52,56,60,63,70,74,78,86,94,97,101,106,112,119,123,126,135,137,142,147,151,154,164,170,177,182,191,197,207,220,229,235,241,250,263,271,280,286,296,300,310,322,338,349,363,377,393,413,426,444,460,483,505,524,539,552,565,594,621,642,659,682,705,728,752,775,784,802,815,839,852,868,882,899,923,951,976,997,1022,1043,1064,1085,1111,1145,1170,1189,1219,1249,1285,1321,1358,1395,1433,1469,1505,1537,1576,1611,1656,1693,1729,1770,1806,1841,1874,1913,1951,2006,2072,2125,2169,2225,2271,2333,2377,2438,2493,2572,2634,2704,2778,2880,2960,3051,3152,3239,3339,3430,3537,3633,3747,3837,3923,4007,4114,4222,4327,4412,4514,4606,4698,4808,4919,5028,5136,5240,5354,5484,5590,5724,5847,5962,6092,6243,6363,6510,6650,6799,6958,7107,7267,7399,7545,7712,7885,8043,8188,8340,8495,8649,8819,8979,9143,9311,9487,9658,9827,10012,10185,10360,10552,10780,10998,11206,11424,11631,11877,12134,12372,12637,12939,13247,13549,13808,14097,14398,14649,14959,15238,15530,15819,16117,16450,16727,17027,17373,17712,18051,18347,18683,19009,19331,19699,20053,20421,20774,21138,21504,21886,22290,22726,23142,23553,24021,24479,24898,25387,25896,26370,26897,27428,27974,28525,29087,29650,30231,30827,31378,32008,32667,33324,33963,34649,35289,35975,36657,37405,38124,38817,39497,40228,40971,41698,42454,43232,44021,44865,45726,46653,47503,48381,49284,50187,51100,52060,53112,54097,55126,56131,57173,58219,59254,60314,61431,62576,63726,64910,66060,67306,68541,69818,71138,72490,73826,75239,76663,78082,79482,80981,82470,83894,85406,87115,88667,90311,91937,93615,95288,96906,98663,100487,102292,104126,105990,107906,109791,111754,113780,115846,117820,119981,122041,124185,126335,128576,130665,132901,135184,137554,139943,142320,144784,147168,149660,152137,154630,157133,159738,162485,165196,167953,170704,173686,176541,179551,182540,185631,188763,191873,195163,198570,202100,205613,209237,212967,216838,220660,224582,228497,232606,236796,240947,245307,249692,254164,258653,263194,267801,272676,277579,282400,287494,292530,297548,302533,307658,312755,318047,323510,329074,334594,340069,345668,351613,357430,363528,369600,375724,381885,388411,394940,401519,408468,415336,422221,429400,436477,443771,451319,458820,466642,474737,482805,490977,499350,507872,516254,525051,533942,542749,551887,561012,570210,579627,589163,598834,608752,618498,628613,638788,649109,659373,669854,680553,691308,702346,713512,724967,736583,748333,760333,772576,784921,797441,810154,822926,835879,849296,862632,876075,889833,903704,917655,931848,946337,960840,975719,990531,1005374,1020637,1036143,1051465,1067122,1083107,1099245,1115395,1131858,1148232,1164794,1181475,1198330,1215374,1232521,1249772,1267208,1284672,1302445,1320025,1337763,1355592,1373513,1391653,1410162,1428343,1446968,1465303,1483930,1502911,1521763,1540667,1559578
1,1,1,3,4,4,5,6,7,11,11,13,15,16,16,16,17,19,19,19,23,23,27,30,30,33,36,37,41,43,48,51,54,59,62,71,75,82,86,89,98,105,113,118,130,136,141,148,153,161,174,177,181,191,199,207,212,218,226,234,243,250,254,257,265,269,276,285,291,299,304,312,324,334,345,361,373,379,392,403,423,431,447,465,486,502,521,546,565,578,596,610,630,655,696,723,766,791,817,847,865,902,933,976,1005,1053,1091,1108,1148,1192,1231,1268,1315,1344,1380,1424,1463,1506,1549,1589,1625,1653,1696,1744,1772,1816,1854,1893,1942,1987,2047,2100,2139,2188,2240,2305,2355,2411,2473,2530,2594,2681,2743,2805,2878,2944,3012,3106,3184,3275,3375,3463,3542,3620,3708,3806,3885,3972,4044,4132,4202,4290,4373,4450,4529,4602,4703,4801,4904,5001,5106,5203,5305,5424,5528,5623,5745,5880,6000,6119,6255,6416,6587,6756,6930,7093,7299,7510,7736,7995,8254,8502,8752,9024,9336,9663,9974,10298,10644,10990,11351,11729,12092,12428,12825,13217,13624,14044,14501,14939,15447,15950,16438,16931,17416,17971,18542,19102,19711,20318,20952,21525,22170,22864,23551,24223,24947,25658,26361,27093,27777,28514,29325,30104,30846,31641,32473,33248,34019,34867,35720,36612,37519,38434,39383,40358,41312,42385,43429,44451,45469,46514,47570,48620,49698,50822,51954,53144,54278,55517,56742,57980,59243,60436,61693,63026,64274,65597,66973,68259,69616,70999,72327,73732,75253,76663,78074,79547,81020,82602,84141,85630,87232,88808,90470,92107,93718,95408,97100,98708,100402,102137,103964,105695,107600,109493,111395,113344,115353,117360,119394,121437,123578,125704,127860,130025,132360,134682,136994,139402,141827,144138,146520,148979,151560,154294,156870,159529,162095,164765,167381,170105,172953,175926,178722,181669,184580,187608,190723,193961,197268,200722,204201,207842,211442,215193,218971,222850,226942,231128,235367,239578,244006,248388,252977,257754,262350,267128,272059,277036,281957,287105,292347,297504,302776,308327,313611,319239,324895,330608,336616,342620,348723,354871,361180,367635,374150,380649,387228,393952,400821,407786,414941,422156,429387,436859,444320,451886,459677,467436,475349,483269,491371,499767,508216,516757,525336,533965,542776,551554,560301,569269,578270,587610,597018,606626,616075,625657,635436,645335,655560,665550,675701,686078,696514,706988,717732,728696,739675,750833,762015,773271,784743,796118,807813,819516,831320,843289,855320,867504,879820,892383,904835,917523,930177,943100,956077,969017,982177,995300,1008813,1022232,1036071,1049899,1063877,1077913,1092310,1106674,1121212,1135940,1150455,1165116,1180363,1195493,1210822,1226320,1241759,1257429,1273411,1289415,1305443,1321607,1337921,1354128,1370760,1387316,1404024,1421035,1438019,1454923,1472040,1489688,1507070,1524542,1542107,1559933,1577917,1596047,1614062,1632538,1651006,1669732,1688714,1707872,1727189,1746706,1766199,1786006,1805868,1825797,1845780,1866476,1887144,1907910,1929080,1950149,1971376,1992874,2014146,2035469,2057112,2078926,2100627,2122774,2144797,2167061,2189454
1,1,2,4,6,8,9,11,13,13,16,16,16,17,17,19,19,21,21,24,24,27,32,33,34,35,35,39,42,42,45,47,47,50,51,54,58,65,66,70,79,83,88,91,95,99,103,109,109,119,127,131,135,137,140,145,154,158,166,174,180,187,191,195,201,207,208,214,218,225,231,235,242,246,252,255,261,265,270,272,279,286,293,301,308,315,318,325,332,333,340,343,352,358,365,379,391,401,420,433,451,462,480,496,521,541,572,588,606,632,663,692,720,748,770,798,823,849,870,893,918,947,964,991,1013,1027,1047,1079,1095,1123,1151,1180,1206,1247,1286,1321,1359,1396,1436,1485,1538,1607,1687,1797,1904,1998,2104,2206,2318,2431,2550,2659,2795,2915,3017,3120,3226,3337,3434,3551,3664,3788,3903,4022,4137,4264,4393,4520,4655,4774,4926,5054,5224,5375,5532,5709,5888,6057,6230,6402,6597,6760,6936,7100,7272,7427,7579,7749,7932,8086,8240,8404,8550,8694,8854,9028,9191,9328,9462,9612,9760,9901,10062,10208,10378,10539,10701,10848,11007,11168,11323,11488,11664,11839,11993,12205,12392,12598,12821,13050,13298,13547,13801,14124,14419,14752,15146,15506,15911,16343,16737,17153,17545,17995,18435,18898,19354,19782,20225,20720,21161,21640,22159,22663,23142,23674,24214,24778,25380,26006,26591,27286,28014,28675,29369,30118,30892,31699,32553,33352,34210,35098,35961,36801,37671,38580,39501,40453,41426,42392,43368,44393,45365,46410,47392,48459,49483,50488,51584,52611,53672,54723,55809,56942,58058,59153,60302,61500,62712,63951,65265,66585,67907,69266,70664,71966,73345,74693,76050,77450,78890,80333,81808,83273,84749,86321,87827,89383,90985,92610,94285,95983,97780,99492,101255,103015,104926,106812,108769,110766,112896,114943,117070,119197,121315,123427,125599,127812,130062,132364,134805,137122,139470,141986,144477,147036,149729,152430,155218,158087,160873,163833,166829,169751,172759,175867,179057,182295,185645,189011,192379,195855,199476,203092,206640,210394,214286,218178,222176,226144,230241,234376,238626,242916,247425,251892,256431,261090,265702,270493,275369,280333,285306,290453,295770,301195,306860,312554,318360,324146,330025,336130,342249,348515,354993,361486,368047,374728,381388,388366,395393,402525,409801,417237,424782,432641,440598,448764,457203,465737,474217,482838,491731,500912,510229,519699,529483,539429,549534,559724,570106,580840,591596,602610,613663,624821,636154,647773,659585,671587,683866,696248,708941,722003,735009,748101,761613,775168,789166,803321,817873,832419,847180,862021,877081,892678,908056,923644,939448,955936,972208,988651,1005199,1021674,1038512,1055477,1072460,1089640,1106895,1124287,1141999,1159401,1176996,1194858,1212883,1230983,1249197,1267522,1285945,1304544,1323305,1342381,1361604,1380703,1400123,1419692,1439484,1459214,1479411,1499460,1519577,1539870,1560141,1580668,1601383,1622187,1642879,1663717,1684757,1705681,1726874,1748146,1769604,1791244,1812893,1834795,1856873,1878815,1900871,1923354,1945534,1967731,1990294,2012889,2035919,2058983,2082358
1,1,1,1,1,1,1,1,2,2,3,5,6,8,8,10,13,15,15,15,16,20,20,22,23,27,31,35,37,42,44,52,54,58,66,70,73,76,81,88,92,95,97,97,101,106,111,119,131,136,144,151,156,163,167,169,174,178,182,188,191,196,201,207,213,220,224,230,235,237,246,250,258,262,267,272,277,281,286,295,300,310,316,328,334,341,349,356,364,367,369,378,388,401,413,421,433,438,445,464,479,496,512,521,533,550,573,592,602,613,636,647,662,683,698,712,727,745,754,771,790,805,824,840,856,881,897,921,942,961,985,1008,1031,1055,1070,1088,1109,1128,1148,1173,1194,1223,1248,1277,1300,1327,1349,1377,1387,1408,1441,1466,1500,1528,1551,1575,1598,1630,1652,1682,1704,1731,1767,1793,1822,1850,1878,1902,1934,1951,1978,2005,2033,2060,2088,2116,2148,2168,2207,2236,2267,2292,2324,2347,2379,2405,2446,2479,2512,2535,2570,2606,2642,2676,2706,2747,2786,2821,2858,2898,2928,2961,2999,3037,3076,3116,3157,3194,3225,3257,3280,3311,3347,3375,3411,3444,3476,3510,3545,3573,3601,3623,3648,3681,3703,3736,3773,3800,3828,3854,3885,3914,3946,3979,4002,4022,4047,4076,4101,4124,4152,4177,4208,4229,4258,4292,4317,4346,4375,4395,4423,4440,4464,4486,4519,4550,4587,4613,4639,4657,4697,4729,4767,4803,4825,4868,4910,4955,4994,5034,5064,5088,5115,5143,5175,5222,5265,5314,5353,5393,5430,5467,5498,5551,5585,5631,5671,5719,5760,5812,5871,5915,5972,6039,6094,6141,6201,6274,6347,6405,6481,6554,6638,6712,6810,6877,6961,7056,7135,7215,7331,7417,7513,7603,7699,7783,7888,7995,8118,8208,8327,8441,8565,8702,8845,8999,9159,9325,9489,9660,9838,10054,10238,10436,10637,10840,11055,11259,11492,11694,11915,12172,12437,12690,12970,13238,13520,13785,14058,14334,14621,14954,15214,15520,15840,16161,16443,16753,17038,17332,17648,17920,18222,18511,18785,19091,19430,19740,20100,20450,20833,21196,21615,22084,22535,23034,23504,24050,24584,25114,25628,26164,26758,27325,27915,28486,29122,29730,30382,31008,31682,32337,32995,33671,34332,35000,35662,36349,37040,37770,38477,39173,39878,40625,41399,42182,42972,43755,44517,45311,46138,46949,47789,48654,49541,50439,51330,52292,53255,54252,55212,56228,57259,58324,59334,60356,61477,62542,63705,64874,66098,67323,68566,69789,71062,72408,73657,74996,76345,77674,79080,80417,81821,83228,84665,86133,87621,89157,90698,92324,93914,95473,97130,98833,100523,102236,103957,105832,107821,109784,111787,113832,115996,118064,120150,122310,124478,126653,128760,131046,133327,135654,138027,140416,142829,145225,147697,150145,152728,155358,158101,160774,163550,166370,169144,172021,174921,177828,180830,183964,187128,190388,193564,196847,200136,203531,206993
1,1,3,5,6,6,7,8,8,10,13,13,17,19,21,22,25,27,32,38,42,46,51,53,54,57,61,67,71,79,86,90,93,99,107,111,114,119,124,127,130,137,145,149,154,163,169,182,194,213,233,264,286,305,325,348,368,396,426,464,495,544,576,602,628,656,689,720,747,773,804,833,858,895,919,951,983,1026,1068,1106,1145,1184,1234,1277,1314,1360,1409,1456,1494,1560,1615,1665,1716,1783,1826,1885,1948,2006,2083,2166,2242,2321,2412,2491,2565,2649,2738,2838,2943,3060,3149,3266,3355,3465,3568,3667,3802,3922,4042,4177,4297,4430,4555,4688,4846,4980,5107,5261,5411,5543,5696,5836,5966,6100,6241,6365,6512,6683,6825,6962,7107,7250,7400,7578,7767,7959,8175,8360,8547,8779,8984,9196,9443,9673,9913,10161,10429,10713,10975,11276,11574,11888,12225,12577,12944,13328,13703,14108,14545,14977,15417,15845,16271,16678,17132,17615,18105,18606,19138,19678,20202,20742,21299,21814,22378,22924,23462,24013,24555,25136,25723,26284,26871,27400,28034,28654,29279,29930,30577,31179,31786,32441,33118,33801,34476,35200,35876,36580,37295,37995,38696,39474,40219,41073,41826,42629,43477,44296,45193,46029,46856,47648,48530,49376,50277,51166,52084,53036,54010,54967,55968,56958,57969,58972,59987,61054,62141,63198,64397,65589,66821,68030,69241,70498,71720,73012,74370,75768,77200,78724,80223,81694,83280,84944,86583,88230,89954,91669,93428,95263,97172,99029,100881,102760,104673,106682,108603,110542,112604,114600,116652,118742,120895,123034,125252,127689,130086,132431,134762,137191,139798,142426,145026,147723,150523,153395,156203,159109,162037,165048,168105,171173,174434,177567,180972,184315,187561,190972,194508,198063,201689,205346,208999,212765,216626,220641,224623,228601,232725,236802,241092,245293,249734,254218,258683,263252,267781,272415,277161,282102,287084,292166,297209,302440,307695,313137,318577,324247,329925,335851,341858,348016,354253,360437,366889,373510,380142,387035,393837,400689,407762,414945,422258,429564,437022,444538,452299,459927,467720,475898,484126,492355,500654,509164,517693,526278,535032,543883,553097,562297,571626,580949,590643,600428,610181,620184,630193,640409,650922,661406,671859,682562,693622,704591,715931,727253,738707,750418,762366,774467,786577,798997,811524,824097,837004,850080,863187,876342,890026,903698,917624,931777,946133,960772,975661,990633,1005820,1021307,1036761,1052451,1068288,1084532,1101031,1117578,1134276,1150882,1167739,1184827,1202178,1219718,1237214,1254636,1272594,1290554,1308839,1327027,1345619,1364395,1383121,1401999,1421075,1440188,1459560,1479100,1498782,1518584,1538724,1558892,1579284,1599510,1620206,1640793,1661603,1682414,1703535,1724796,1746201,1767563,1788972,1810760,1832577,1854286,1876042,1898124,1920248,1942314,1964804,1986825,2009114,2031735,2054299,2077142,2099960,2122670,2145419,2168346,2191601,2214906,2238162,2261847,2285636,2309292,2333303,2357441,2381820,2406160,2430616,2455264,2479878,2504470,2529099,2553856,2578664,2603567,2628889,2654173,2679931,2705366,2730843,2756467,2781915,2807543,2833068,2859060,2884741,2910477,2936330,2962566,2988884,3015307,3042014,3068378,3095212,3121801,3148423,3175313,3201909
1,1,2,2,3,5,5,6,6,8,11,11,12,13,16,17,18,20,20,20,20,21,23,24,27,27,28,29,31,33,37,39,40,43,48,49,53,58,62,65,65,68,70,74,81,88,95,100,104,112,118,120,124,130,134,136,141,144,146,151,154,158,161,163,166,167,171,174,181,187,195,201,209,214,218,222,226,240,247,259,266,275,289,302,315,324,336,347,358,372,393,406,421,435,453,465,475,488,497,508,529,544,556,577,588,600,616,627,643,660,673,682,692,698,707,710,723,730,740,746,754,759,768,775,784,800,806,811,818,825,829,833,847,855,861,866,872,877,880,882,889,892,898,904,910,915,917,921,923,923,926,927,930,931,934,935,938,940,946,948,950,954,955,957,958,960,960,962,966,967,968,970,970,971,972,973,979,981,983,985,989,993,998,1001,1004,1009,1019,1030,1035,1044,1051,1060,1071,1083,1098,1111,1128,1141,1163,1192,1209,1227,1259,1275,1304,1344,1386,1430,1482,1540,1600,1655,1718,1779,1836,1911,1994,2054,2120,2194,2266,2332,2402,2475,2568,2644,2732,2821,2931,3054,3158,3262,3373,3492,3619,3756,3884,4017,4171,4333,4475,4628,4795,4949,5105,5254,5416,5595,5789,5993,6209,6421,6635,6855,7092,7336,7610,7882,8149,8431,8706,8959,9264,9509,9750,10039,10288,10533,10813,11086,11361,11610,11877,12166,12383,12629,12942,13251,13561,13885,14233,14573,14909,15288,15655,16041,16428,16818,17250,17655,18103,18554,18946,19370,19782,20229,20668,21071,21522,21994,22452,22872,23399,23872,24367,24822,25335,25778,26268,26763,27273,27769,28299,28817,29360,29906,30419,30980,31545,32103,32701,33260,33902,34529,35139,35786,36491,37179,37857,38555,39252,39988,40658,41394,42194,43015,43846,44638,45506,46399,47235,48147,49021,49977,50961,51971,53009,54129,55207,56344,57485,58672,59849,61005,62200,63413,64677,65893,67204,68571,69950,71409,72752,74230,75813,77300,78857,80560,82242,83953,85764,87624,89488,91402,93391,95436,97548,99634,101872,104158,106570,108846,111197,113622,116120,118602,121108,123815,126558,129298,132055,134762,137593,140462,143425,146525,149671,152881,156127,159415,162764,166196,169643,173261,176998,180837,184664,188526,192496,196478,200523,204585,208828,213046,217150,221440,225631,230001,234324,238871,243503,248079,252793,257591,262513,267449,272416,277399,282464,287532,292721,298098,303466,308894,314341,319838,325365,330967,336714,342615,348517,354519,360553,366703,372784,379196,385758,392246,398974,405679,412529,419417,426424,433552,440692,448330,455785,463375,470980,478669,486263,494168,502211,510411,518924,527290,535609,544127,552843,561597,570482,579561,588681,598071,607466,617038,626804,636413,646316,656127,665963,675916,685964,696124,706561,717037,727695,738550,749486,760437,771399,782555,794290,805786,817541,829404,841526
1,1,1,1,1,1,1,2,3,6,8,10,11,13,13,16,18,19,23,25,27,28,29,34,36,42,49,52,55,60,66,73,75,80,81,86,95,99,105,111,118,125,132,139,141,149,157,162,175,182,190,195,201,214,223,232,240,245,256,264,277,288,302,314,323,332,340,351,361,375,391,411,432,447,471,476,497,521,536,553,571,595,620,646,671,693,721,741,769,796,829,859,879,907,924,949,975,999,1018,1046,1086,1122,1158,1177,1201,1230,1263,1309,1346,1389,1423,1473,1505,1531,1571,1608,1642,1679,1727,1772,1810,1849,1888,1926,1967,2010,2053,2100,2155,2200,2261,2304,2368,2429,2485,2565,2645,2721,2792,2874,2959,3007,3066,3135,3207,3269,3328,3390,3455,3516,3581,3655,3721,3768,3838,3900,3976,4028,4098,4170,4222,4305,4375,4440,4497,4569,4671,4754,4827,4914,4998,5102,5189,5282,5376,5473,5571,5704,5805,5921,6043,6162,6284,6381,6508,6606,6714,6810,6928,7024,7136,7238,7353,7467,7604,7719,7828,7947,8050,8164,8274,8401,8521,8645,8776,8893,9035,9149,9277,9408,9535,9652,9781,9929,10074,10201,10343,10489,10622,10805,10969,11118,11277,11460,11613,11781,11967,12176,12389,12609,12841,13074,13297,13516,13725,13955,14208,14446,14719,14967,15215,15483,15724,15981,16275,16516,16804,17073,17349,17646,17962,18245,18554,18828,19123,19413,19776,20084,20428,20770,21159,21517,21885,22266,22636,22974,23368,23763,24174,24587,25020,25440,25897,26342,26815,27222,27687,28137,28609,29077,29575,30056,30579,31072,31611,32130,32659,33216,33730,34299,34903,35533,36109,36736,37338,38012,38672,39312,40023,40743,41423,42115,42856,43576,44337,45099,45838,46679,47464,48286,49123,49970,50804,51722,52601,53574,54518,55520,56511,57508,58541,59559,60675,61806,62976,64170,65345,66606,67961,69218,70599,71928,73308,74740,76212,77687,79139,80643,82218,83760,85342,86991,88702,90401,92147,93909,95651,97495,99328,101271,103231,105176,107194,109207,111252,113318,115326,117498,119607,121776,123956,126197,128461,130547,132834,135129,137465,139855,142268,144668,147162,149719,152285,154892,157576,160276,163051,165823,168686,171554,174551,177543,180659,183725,186813,189995,193215,196506,199770,203198,206685,210240,213741,217530,221209,225010,228803,232769,236800,240850,244950,249068,253193,257553,261841,266058,270478,275092,279615,284302,289202,294200,299024,304041,308985,314040,319108,324609,330119,335647,341172,346859,352609,358494,364608,370780,376927,383118,389377,395759,402415,408846,415493,422303,429170,436201,443237,450440,457542,464989,472653,480244,487913,495620,503635,511558,519767,527948,536328,545092,553676,562512,571554,580654,590210,599719,609297,619065,628913,638761,649060,659122,669588,680240,691192,702328,713404,724595,736048,747587,759315,770772,782605,794819,806968,819291,831650,844163,857031,869803,882940,896290,909974,923368,937084,951032,965022,979169,993545,1007951,1022828,1037626,1052622,1067456,1082710,1098193,1113664
1,1,1,1,1,2,4,6,6,6,7,7,9,12,13,17,20,22,23,25,29,31,34,35,38,40,43,48,49,53,56,59,68,74,76,81,84,90,95,99,104,109,113,121,127,129,135,141,151,168,179,184,192,206,218,233,250,267,281,298,313,337,350,363,380,398,421,434,451,469,488,513,535,561,580,600,624,653,676,706,737,746,771,797,811,842,868,899,938,972,998,1030,1057,1098,1143,1178,1211,1243,1268,1312,1346,1388,1424,1468,1514,1564,1613,1664,1720,1769,1822,1888,1948,2007,2062,2118,2163,2221,2278,2333,2398,2444,2504,2562,2623,2675,2741,2806,2866,2924,2986,3050,3106,3167,3230,3315,3380,3456,3537,3624,3719,3798,3878,3980,4084,4184,4262,4355,4458,4562,4675,4805,4922,5042,5151,5266,5410,5553,5695,5830,5933,6047,6175,6323,6468,6613,6776,6932,7078,7225,7399,7555,7690,7863,8025,8191,8354,8518,8694,8905,9104,9273,9468,9679,9875,10117,10352,10600,10864,11135,11410,11715,11994,12279,12548,12845,13149,13440,13772,14067,14384,14685,14983,15308,15607,15915,16239,16532,16853,17172,17501,17805,18147,18512,18856,19200,19566,19925,20311,20693,21044,21343,21703,22084,22453,22822,23208,23599,23978,24388,24798,25198,25598,26020,26458,26931,27368,27863,28384,28913,29382,29913,30440,31040,31622,32220,32770,33348,33927,34528,35162,35728,36263,36882,37520,38116,38728,39341,39987,40633,41322,42021,42731,43503,44194,44938,45717,46481,47307,48071,48853,49614,50411,51193,51999,52842,53680,54585,55439,56338,57274,58185,59112,59991,60937,61947,62962,64005,64974,65977,67063,68139,69144,70252,71340,72479,73607,74827,76021,77217,78477,79833,81164,82483,83864,85258,86685,88113,89552,91116,92689,94307,95883,97537,99223,100959,102682,104450,106236,108061,109957,111904,113849,115908,118042,120140,122241,124510,126716,128968,131296,133693,136106,138508,141004,143497,146077,148709,151348,154089,156850,159734,162675,165638,168691,171847,175023,178277,181563,184821,188206,191654,195232,198726,202413,206005,209775,213598,217394,221179,225088,229077,233058,237107,241342,245484,249749,254236,258802,263369,268028,272686,277455,282232,287131,292144,297349,302358,307644,313085,318597,324025,329494,335194,340956,346664,352652,358708,364753,371039,377298,383673,390092,396616,403190,409911,416711,423577,430598,437601,444827,452087,459483,466911,474559,482201,489832,497820,505823,514151,522418,530707,539193,547728,556371,565308,574105,583031,592087,601204,610461,619794,629444,639224,649034,658922,668956,679046,689098,699473,709874,720396,730959,741559,752261,763045,774054,785260,796423,808007,819657,831272,842996,855107,867233,879430,891962,904583,917472,930492,943576,956701,969959,983428,997088,1010928,1024867,1039143,1053517,1067976,1082480,1097253,1112246,1127170,1142344,1157730,1173244,1188773,1204518,1220320,1236172,1252022,1268096,1284107,1300283,1316498,1333067,1349785,1366500,1383403,1400193,1417214,1434200,1451693,1469027,1486420,1504055,1521939,1539443,1557466,1575097,1593202,1611129,1629219,1647406,1665729,1684385
1,1,1,1,2,3,3,3,5,5,5,6,7,8,12,16,24,34,43,56,63,91,134,172,217,271,337,414,504,587,703,800,889,996,1118,1243,1358,1470,1558,1667,1793,1929,2052,2196,2349,2510,2673,2853,3036,3216,3379,3567,3755,3964,4190,4391,4615,4867,5147,5432,5716,5968,6268,6538,6848,7126,7408,7684,7939,8169,8383,8647,8899,9142,9333,9553,9784,10005,10244,10492,10765,11011,11302,11569,11853,12121,12376,12627,12866,13095,13320,13571,13821,14060,14290,14508,14729,14954,15153,15363,15578,15760,15947,16158,16360,16540,16740,16951,17147,17326,17532,17723,17939,18138,18332,18518,18740,18925,19141,19345,19538,19753,19943,20166,20380,20615,20860,21074,21298,21532,21738,21972,22192,22447,22679,22907,23195,23465,23718,24006,24262,24533,24812,25106,25402,25731,26075,26441,26801,27161,27513,27879,28235,28633,29036,29445,29846,30271,30709,31121,31567,32037,32485,32967,33432,33895,34406,34862,35346,35890,36435,36991,37536,38129,38750,39314,39937,40530,41191,41881,42594,43324,44093,44814,45536,46289,47106,47921,48714,49583,50414,51302,52183,53113,53999,54949,55955,57017,58076,59151,60178,61219,62350,63506,64572,65766,66998,68275,69604,70888,72224,73581,74971,76393,77867,79323,80841,82329,83794,85295,86865,88442,89943,91563,93156,94767,96351,97958,99536,101170,102871,104549,106279,108031,109840,111641,113456,115332,117203,119058,120983,122955,124938,126916,128949,131069,133183,135302,137542,139706,141977,144157,146516,148963,151468,153963,156641,159250,161963,164705,167644,170620,173553,176599,179648,182854,186031,189408,192819,196272,199717,203247,206870,210481,214202,218007,221870,225662,229456,233404,237317,241349,245425,249590,253829,257938,262187,266520,270813,275245,279666,284026,288574,293133,297624,302277,307099,311840,316636,321677,326648,331758,336987,342110,347507,352785,358189,363647,369102,374696,380352,386115,391916,397831,404045,410204,416418,422648,428969,435371,441932,448709,455513,462361,469354,476294,483341,490467,497584,504864,512362,519845,527683,535382,543313,551341,559334,567603,575783,584145,592523,601042,609703,618372,627381,636262,645022,654152,663482,672643,681987,691638,701040,710699,720530,730124,740086,750138,760440,770624,780952,791505,802175,812920,823849,834974,846375,857584,869295,881133,893212,905263,917365,929982,942737,955511,968556,981554,994644,1007703,1021051,1034621,1048063,1061895,1075713,1089631,1103671,1117963,1132240,1146634,1161274,1176225,1191115,1206392,1222003,1237835,1253777,1270005,1286242,1302683,1319295,1336187,1353128,1370323,1387679,1405130,1422601,1440153,1457939,1475948,1493721,1511854,1529986,1548174,1566762,1585033,1603461,1621871,1640841,1659806,1678802,1697896,1717190,1736619,1756243,1776090,1795956,1816072,1836334,1856434,1876860,1897111,1917659,1938340,1959138,1980230,2001203,2022438,2044024,2065296,2086878,2108558,2130028,2152318,2174383,2196549,2219034,2241445,2263975,2286509,2309595,2332399,2355222,2378093,2401055,2424115,2447670,2471316,2495118,2518978,2543026,2567354,2591486,2615891,2640636,2665459,2690334,2715544,2740816,2765890,2791417,2817010,2842533,2868430,2894372,2920209,2946331,2972491,2998503,3024982,3051246,3077750,3104579,3131550,3158217,3185330,3212510,3239837,3267224,3294629,3322450,3350192,3378128,3405844,3433842,3461719,3490003
1,1,1,1,1,1,1,3,3,3,7,7,7,7,8,12,13,13,13,15,17,19,20,23,28,36,39,41,45,50,58,64,70,77,83,88,103,108,124,129,132,142,148,155,162,169,175,186,192,198,209,216,227,235,251,260,267,274,279,294,302,315,327,341,355,372,377,383,395,410,417,427,438,450,462,470,482,491,501,508,516,526,533,538,550,560,568,574,587,597,608,618,629,639,652,669,678,687,697,706,718,741,753,775,789,807,826,841,858,874,888,905,918,934,947,966,982,1003,1016,1040,1050,1068,1078,1101,1119,1135,1154,1169,1176,1190,1207,1222,1233,1248,1263,1274,1286,1308,1333,1366,1386,1402,1421,1444,1470,1496,1528,1558,1590,1620,1660,1707,1737,1766,1810,1845,1876,1923,1959,2005,2052,2097,2135,2187,2226,2271,2319,2373,2421,2469,2526,2577,2622,2663,2703,2756,2803,2846,2879,2921,2957,3016,3055,3095,3134,3157,3189,3220,3245,3275,3304,3340,3376,3399,3422,3441,3464,3481,3502,3518,3536,3559,3583,3597,3623,3652,3669,3695,3722,3756,3783,3814,3835,3865,3900,3942,3977,4017,4065,4103,4143,4183,4227,4257,4302,4338,4368,4402,4444,4486,4516,4558,4590,4625,4659,4701,4744,4782,4809,4849,4882,4910,4930,4964,4995,5030,5082,5116,5143,5187,5227,5268,5309,5345,5385,5437,5491,5536,5584,5634,5690,5732,5774,5832,5892,5956,5995,6037,6079,6140,6198,6253,6308,6362,6422,6470,6527,6595,6647,6715,6756,6805,6858,6914,6974,7037,7082,7137,7188,7234,7300,7361,7416,7486,7547,7614,7670,7737,7822,7903,7975,8052,8120,8207,8298,8385,8471,8536,8620,8701,8810,8904,8996,9091,9195,9289,9398,9496,9613,9703,9810,9920,10025,10130,10230,10340,10451,10572,10700,10810,10934,11064,11183,11292,11423,11563,11709,11820,11941,12100,12238,12373,12509,12628,12782,12919,13059,13203,13349,13501,13654,13824,13981,14121,14280,14431,14587,14746,14921,15073,15244,15412,15572,15745,15918,16129,16319,16497,16695,16931,17154,17371,17591,17792,18004,18220,18443,18687,18938,19183,19424,19691,19933,20182,20471,20749,21090,21394,21695,22070,22389,22759,23109,23549,23933,24378,24850,25359,25882,26418,26951,27481,28053,28694,29272,29854,30436,31029,31613,32179,32819,33459,34073,34711,35307,35927,36544,37215,37890,38567,39210,39895,40599,41309,42037,42729,43484,44256,45049,45860,46676,47425,48282,49185,50027,50889,51791,52677,53578,54477,55423,56314,57266,58199,59169,60178,61230,62363,63465,64595,65775,67001,68229,69504,70756,72102,73403,74760,76105,77544,78962,80404,81805,83252,84729,86220,87631,89108,90669,92189,93762,95292,96954,98627,100379,102106,103887,105815,107796,109725,111685,113699,115766,117882,120076,122300,124547,126801,129165,131523,133990,136500,139056,141726,144320,147061,149902
1,1,1,1,3,5,9,12,13,17,19,22,25,32,34,37,45,53,60,65,71,76,86,93,102,107,115,122,134,139,147,165,177,185,196,213,222,234,249,261,272,288,299,313,327,331,344,348,358,364,376,386,393,409,415,423,429,444,455,466,476,483,493,503,513,520,535,553,567,572,582,593,600,611,623,630,639,652,667,677,689,700,715,721,729,744,758,769,785,791,808,821,831,844,853,861,870,881,893,899,913,930,944,953,957,968,975,988,1001,1006,1022,1031,1038,1045,1054,1064,1078,1088,1097,1103,1111,1120,1130,1140,1149,1161,1172,1180,1194,1201,1215,1222,1229,1234,1243,1255,1263,1266,1278,1290,1296,1304,1314,1317,1329,1341,1356,1367,1373,1386,1394,1398,1409,1422,1430,1439,1444,1455,1461,1469,1475,1486,1496,1504,1513,1521,1528,1534,1539,1545,1550,1554,1565,1570,1575,1580,1585,1592,1597,1601,1604,1609,1611,1615,1619,1624,1628,1632,1642,1644,1647,1653,1658,1663,1667,1672,1676,1680,1682,1683,1685,1690,1695,1697,1700,1702,1703,1706,1711,1715,1716,1719,1724,1728,1730,1733,1734,1738,1747,1749,1751,1753,1756,1758,1761,1763,1765,1766,1768,1774,1775,1776,1778,1781,1782,1784,1788,1794,1798,1801,1802,1804,1806,1806,1809,1810,1812,1815,1816,1819,1819,1820,1821,1824,1827,1828,1832,1833,1834,1834,1834,1834,1835,1837,1839,1840,1841,1842,1846,1850,1854,1854,1857,1858,1860,1862,1869,1871,1872,1876,1881,1886,1889,1893,1893,1899,1900,1903,1909,1911,1914,1916,1922,1927,1931,1940,1941,1942,1947,1950,1955,1963,1966,1972,1977,1981,1985,1986,1989,1995,1999,2004,2008,2009,2012,2016,2021,2022,2024,2031,2033,2035,2036,2041,2048,2057,2061,2066,2085,2096,2111,2122,2144,2160,2193,2219,2252,2274,2308,2345,2369,2415,2459,2502,2546,2589,2632,2687,2741,2790,2843,2901,2952,3007,3059,3129,3194,3251,3312,3371,3436,3500,3575,3632,3695,3763,3821,3875,3924,3985,4064,4137,4214,4297,4372,4436,4499,4565,4655,4742,4823,4915,4995,5093,5181,5267,5355,5449,5548,5634,5743,5856,5980,6109,6248,6376,6502,6628,6779,6941,7086,7245,7402,7603,7766,7931,8101,8287,8489,8716,8918,9130,9323,9540,9750,10003,10207,10428,10677,10915,11159,11394,11632,11918,12192,12486,12779,13109,13426,13750,14120,14483,14837,15222,15592,15932,16309,16678,17088,17459,17838,18288,18739,19181,19614,20077,20583,21034,21544,22106,22650,23228,23771,24382,25013,25658,26295,26988,27607,28339,29010,29691,30366,31107,31817,32575,33342,34165,34903,35714,36441,37193,37944,38773,39568,40428,41258,42109,43006,43916,44891,45867,46821,47866,48868,49904,50931,52006,53017,54107,55188,56304,57380,58528,59663,60832,61949
1,1,2,5,5,6,9,11,13,13,16,18,23,29,35,40,44,45,49,55,59,62,69,76,81,88,94,98,103,110,115,122,127,134,143,151,154,164,169,172,176,184,191,194,201,206,213,219,230,238,243,254,263,265,268,273,280,284,292,298,302,308,314,319,321,329,336,339,345,354,358,364,368,373,373,376,378,388,391,391,393,397,398,400,402,406,413,416,424,429,432,434,439,442,444,449,455,461,469,475,478,479,485,491,494,500,502,506,508,512,519,522,525,532,537,541,550,556,564,570,575,579,588,597,608,617,624,628,633,637,643,648,653,661,668,680,686,690,696,702,708,714,719,723,732,739,746,752,765,772,779,785,791,801,814,819,826,829,838,846,856,863,872,876,884,890,896,900,905,909,915,921,926,931,941,950,953,956,963,978,987,993,995,1001,1013,1015,1021,1032,1038,1044,1052,1057,1066,1072,1087,1102,1110,1119,1125,1130,1141,1144,1151,1158,1162,1169,1172,1177,1179,1181,1185,1189,1193,1197,1198,1201,1202,1204,1211,1214,1220,1222,1226,1233,1236,1244,1247,1257,1259,1265,1269,1272,1274,1280,1284,1293,1302,1307,1315,1319,1323,1329,1335,1336,1338,1342,1347,1347,1351,1354,1359,1362,1368,1375,1381,1383,1391,1395,1400,1402,1411,1417,1425,1434,1440,1447,1459,1467,1481,1495,1501,1512,1525,1537,1553,1564,1573,1585,1599,1607,1615,1641,1653,1671,1696,1721,1750,1780,1827,1880,1932,2010,2088,2178,2267,2360,2440,2525,2609,2702,2787,2856,2949,3035,3121,3190,3281,3361,3439,3533,3606,3674,3749,3824,3911,4013,4086,4178,4275,4388,4521,4672,4822,4974,5125,5282,5435,5618,5821,6042,6261,6473,6668,6869,7088,7297,7512,7716,7929,8159,8381,8611,8848,9053,9273,9497,9726,10006,10231,10445,10698,10947,11176,11421,11694,11928,12168,12412,12668,12914,13195,13449,13713,13972,14238,14506,14822,15121,15377,15666,15967,16256,16564,16864,17195,17502,17814,18132,18472,18747,19064,19420,19746,20064,20428,20740,21104,21449,21792,22179,22532,22906,23288,23704,24124,24585,24996,25439,25898,26318,26774,27278,27700,28184,28688,29235,29737,30295,30877,31440,32010,32607,33245,33892,34550,35187,35863,36546,37239,37968,38621,39341,40036,40745,41430,42150,42864,43599,44270,44983,45748,46578,47377,48207,49067,49926,50947,51940,52931,53994,55132,56271,57403,58628,59797,61030,62238,63472,64725,65949,67238,68490,69784,71100,72460,73851,75340,76764,78236,79801,81297,82908,84602,86302,88033,89820,91666,93478,95392,97194,99029,100876,102722,104714,106690,108612,110626,112615,114610,116629,118659,120738,122758,124820,126907,129062,131208,133488,135741,138066,140467,142910,145365,147937,150497,153135,155608
1,1,4,4,6,6,7,7,8,9,10,10,10,10,10,10,11,11,11,14,16,21,22,23,26,28,31,33,34,36,39,42,47,52,57,66,71,73,76,79,86,88,90,93,99,106,111,116,123,128,133,139,147,153,157,164,169,176,185,187,195,200,207,214,219,225,231,237,242,247,250,253,256,265,270,276,281,289,305,320,336,349,367,378,393,400,415,432,448,460,480,497,522,542,555,571,584,598,616,632,641,666,685,701,726,753,784,803,818,833,854,879,901,923,941,974,986,999,1013,1029,1047,1060,1081,1098,1113,1130,1148,1168,1184,1202,1231,1248,1274,1295,1318,1343,1374,1400,1425,1451,1481,1517,1554,1590,1625,1657,1701,1741,1790,1840,1894,1950,2009,2065,2123,2186,2242,2292,2350,2407,2446,2507,2557,2630,2677,2727,2780,2833,2909,2978,3049,3096,3151,3209,3258,3326,3383,3446,3507,3566,3644,3714,3785,3869,3947,4018,4094,4182,4263,4351,4436,4518,4601,4679,4771,4861,4973,5043,5140,5221,5329,5432,5536,5664,5784,5891,6014,6153,6266,6393,6533,6668,6826,6968,7135,7289,7450,7595,7750,7926,8100,8270,8445,8617,8800,9008,9198,9395,9590,9797,10025,10253,10499,10736,10969,11196,11453,11699,11927,12196,12446,12690,12946,13210,13464,13751,14003,14281,14524,14779,15030,15283,15579,15881,16173,16487,16788,17118,17435,17756,18091,18439,18834,19257,19675,20106,20537,20940,21392,21846,22355,22891,23458,24037,24664,25258,25900,26574,27227,28023,28740,29414,30196,30990,31813,32648,33518,34369,35323,36271,37253,38281,39313,40316,41366,42428,43494,44537,45631,46716,47825,48909,50061,51219,52400,53521,54711,55975,57217,58500,59858,61208,62609,64077,65503,66957,68471,69980,71499,73075,74654,76300,77918,79522,81194,83041,84880,86604,88484,90336,92255,94142,96178,98312,100422,102592,104849,107056,109357,111687,114149,116611,119070,121504,124104,126668,129237,131844,134575,137383,140143,142944,145816,148616,151555,154495,157538,160561,163636,166871,170000,173217,176450,179759,183119,186430,189853,193280,196870,200501,204160,207827,211474,215346,219165,223088,227286,231466,235742,240034,244382,248932,253665,258384,263187,268024,272988,277945,283053,288274,293555,298994,304428,309869,315435,321157,326947,332756,338841,344903,350992,357198,363428,369762,376119,382567,389125,395986,402924,409851,417018,424250,431684,439079,446633,454092,461856,469605,477492,485513,493564,501736,509939,518438,526851,535351,543964,552808,561533,570551,579907,589158,598493,607898,617729,627572,637573,647802,658081,668223,678393,688712,699350,709993,720583,731332,742347,753263,764472,775856,787324,798944,810814,822494,834364,846302,858354,870594,882890,895469,907928,920473,933244,946359,959677,973233,986656,1000256,1014313,1028220,1042210,1056377,1070549,1085251,1099919,1114783,1129640,1144606,1159866,1175250,1190791,1206247,1221986,1237963,1253959,1270169,1286681,1303401,1320287,1337142,1354473,1371724,1389500,1406991,1424809,1442857,1460951
1,1,1,1,2,4,7,7,7,10,11,12,14,16,19,20,24,25,34,37,39,43,46,52,54,58,62,65,71,77,85,90,97,100,106,114,118,126,136,143,154,166,174,179,185,189,198,211,218,228,233,240,250,254,262,269,278,287,296,305,314,325,333,347,354,362,373,386,393,397,405,408,412,420,430,438,445,461,470,479,486,498,511,519,531,537,543,546,553,558,566,578,587,596,606,612,620,629,638,642,652,661,668,678,683,692,704,714,723,732,737,744,751,761,770,777,782,793,800,814,828,836,848,857,875,888,902,916,928,940,953,976,993,1009,1022,1038,1051,1070,1089,1105,1124,1138,1165,1187,1208,1224,1242,1265,1284,1298,1320,1342,1361,1377,1394,1420,1443,1472,1493,1515,1537,1555,1574,1596,1620,1635,1661,1691,1723,1745,1770,1795,1823,1845,1885,1910,1936,1957,1981,2014,2047,2076,2114,2151,2197,2224,2261,2304,2355,2396,2444,2486,2534,2576,2634,2680,2734,2784,2850,2917,2974,3038,3101,3183,3249,3343,3425,3489,3576,3643,3730,3831,3928,4030,4127,4222,4296,4395,4498,4603,4703,4810,4938,5055,5165,5287,5417,5543,5658,5804,5946,6093,6230,6383,6547,6720,6886,7041,7192,7389,7534,7725,7902,8079,8264,8444,8618,8786,9000,9147,9334,9530,9706,9869,10050,10241,10432,10623,10835,11031,11243,11453,11660,11870,12101,12321,12544,12789,13020,13251,13499,13743,13995,14260,14481,14744,15009,15282,15569,15840,16125,16411,16704,16994,17311,17594,17873,18155,18468,18768,19109,19440,19735,20056,20376,20715,21036,21408,21750,22107,22489,22833,23214,23613,24005,24384,24781,25199,25656,26104,26560,27040,27526,28028,28564,29067,29591,30129,30672,31291,31849,32465,33067,33712,34324,34997,35658,36287,36988,37738,38485,39255,40041,40797,41602,42384,43223,44031,44880,45749,46653,47597,48526,49488,50495,51518,52550,53638,54777,55959,57186,58402,59649,60950,62339,63786,65232,66685,68134,69650,71169,72695,74275,75863,77472,79016,80659,82321,84057,85731,87514,89326,91151,93025,94996,96939,99001,101000,103097,105193,107357,109698,112058,114511,117055,119723,122373,125087,127785,130589,133510,136521,139664,142797,145962,149312,152616,155999,159449,163069,166640,170244,174029,177731,181699,185635,189598,193760,198021,202311,206556,210977,215469,220027,224742,229435,234485,239465,244434,249576,254727,260105,265457,270866,276413,282113,287758,293502,299368,305313,311253,317362,323635,329911,336344,342931,349653,356429,363190,370078,377058,383948,390888,398238,405703,413243,420751,428462,436527,444603,452764,461058,469463,477975,486520,495242,504140,513045,522233,531538,541072,550616,560341,570277,580110,590380,600615,610944,621313,631847,642590,653567,664694,676123,687406,698879,710590,722192,734109,745966,758174,770567,783028,795728,808630,821628,834728,848015,861517,874976,888776,902748,916983,931391,945644,959926,974522
1,1,1,1,1,1,2,2,2,2,4,4,8,11,12,13,14,15,18,19,19,21,25,27,29,30,33,36,40,42,48,51,52,54,60,62,65,68,68,72,78,79,86,93,94,102,108,109,114,121,127,130,135,142,145,154,160,166,168,175,180,183,187,192,195,197,199,203,209,213,218,222,228,233,240,244,250,253,260,265,272,279,285,292,294,300,305,311,316,320,329,332,335,335,337,341,345,350,355,356,357,357,358,360,363,367,370,373,375,376,379,379,380,381,382,383,384,389,391,393,394,395,401,402,412,416,419,420,424,429,430,434,436,437,443,446,450,456,458,459,461,464,467,469,473,478,484,485,487,490,493,498,502,509,514,518,522,525,531,539,543,548,551,557,563,564,568,573,583,589,593,596,599,606,609,614,617,622,626,627,630,633,637,640,647,652,659,663,665,670,673,679,683,690,697,698,699,704,706,710,710,711,716,718,718,723,727,729,732,733,736,739,741,745,748,750,750,755,759,762,769,774,779,780,786,792,796,803,805,808,812,813,817,817,821,825,829,835,845,853,860,870,883,890,906,913,932,946,956,969,984,995,1009,1024,1050,1066,1091,1118,1135,1151,1173,1192,1207,1227,1251,1279,1303,1325,1345,1370,1397,1419,1433,1459,1486,1507,1542,1566,1583,1612,1647,1664,1693,1715,1737,1760,1786,1811,1833,1868,1907,1927,1956,1978,2002,2039,2068,2092,2124,2147,2167,2190,2215,2245,2270,2284,2314,2329,2354,2380,2409,2430,2457,2484,2509,2527,2550,2566,2594,2615,2633,2659,2679,2690,2715,2738,2763,2791,2814,2832,2849,2860,2882,2897,2914,2932,2949,2968,2997,3013,3034,3050,3070,3087,3103,3120,3143,3167,3191,3209,3230,3251,3280,3301,3333,3360,3397,3433,3457,3482,3501,3544,3587,3622,3671,3725,3763,3804,3847,3890,3926,3971,4001,4041,4096,4146,4194,4244,4298,4359,4411,4450,4503,4552,4592,4640,4683,4726,4757,4806,4859,4902,4959,5016,5055,5109,5174,5227,5278,5329,5385,5439,5495,5557,5609,5675,5736,5806,5874,5945,6022,6075,6141,6202,6286,6362,6446,6519,6601,6675,6745,6833,6920,7004,7086,7162,7267,7360,7445,7539,7637,7759,7874,7999,8115,8228,8362,8490,8632,8773,8899,9025,9169,9305,9460,9599,9726,9896,10059,10206,10348,10537,10704,10885,11035,11198,11375,11567,11765,11935,12127,12336,12531,12735,12911,13076,13266,13450,13633,13801,13979,14164,14370,14551,14743,14924,15119,15312,15528,15727,15947,16163,16357,16564,16770,16967,17167,17367,17584,17790,18010,18222,18430,18633,18854,19127,19373
1,1,1,3,4,7,7,9,10,12,13,16,18,23,27,30,36,40,41,45,49,53,58,62,67,70,74,77,86,91,104,107,111,114,116,121,124,127,135,137,141,146,153,161,163,169,171,174,182,183,185,190,197,200,205,209,214,219,224,228,234,235,241,249,256,262,269,274,284,292,300,306,310,317,325,329,335,337,340,347,350,354,357,364,366,370,376,377,381,383,387,389,393,397,398,400,402,403,407,408,409,417,420,422,423,423,423,425,427,428,431,432,432,433,433,434,435,436,438,440,441,442,444,445,445,447,449,451,451,454,456,458,462,464,465,468,471,478,484,486,494,500,502,507,510,516,522,528,535,543,546,550,558,570,578,589,603,615,625,638,650,659,671,688,700,714,729,744,759,772,791,804,818,834,849,870,885,897,918,942,959,977,994,1006,1023,1037,1056,1073,1091,1104,1123,1145,1162,1195,1217,1235,1260,1280,1299,1335,1357,1388,1423,1448,1479,1497,1527,1558,1586,1603,1633,1661,1702,1739,1756,1780,1810,1835,1863,1909,1938,1963,1991,2026,2056,2091,2136,2161,2185,2206,2241,2269,2296,2318,2357,2391,2420,2460,2503,2538,2571,2593,2635,2678,2712,2748,2787,2826,2863,2900,2936,2971,3029,3074,3108,3142,3179,3221,3266,3308,3349,3392,3431,3476,3528,3580,3621,3664,3699,3746,3784,3831,3878,3924,3966,4021,4071,4127,4190,4256,4312,4368,4427,4479,4544,4606,4676,4727,4801,4866,4934,5007,5078,5154,5224,5277,5346,5398,5464,5540,5618,5682,5753,5810,5877,5940,6012,6096,6146,6209,6269,6333,6407,6469,6551,6646,6718,6806,6892,6986,7087,7188,7294,7384,7497,7617,7719,7842,7973,8100,8218,8347,8487,8620,8781,8902,9043,9198,9364,9517,9674,9835,10015,10213,10387,10572,10781,10969,11150,11328,11536,11748,11939,12143,12381,12635,12875,13114,13333,13595,13814,14067,14350,14596,14847,15087,15385,15648,15923,16246,16556,16859,17148,17507,17879,18197,18620,19032,19464,19901,20340,20828,21270,21775,22234,22721,23208,23700,24235,24768,25343,25903,26472,27088,27711,28371,29075,29733,30437,31173,31969,32779,33649,34566,35499,36444,37411,38388,39346,40397,41433,42506,43560,44703,45827,46977,48176,49372,50610,51892,53182,54527,55901,57266,58629,60004,61379,62768,64317,65836,67400,68948,70430,72004,73605,75157,76777,78419,79988,81631,83254,84970,86707,88464,90257,92037,93743,95550,97476,99408,101398,103416,105430,107534,109649,111787,113968,116238,118469,120783,123148,125496,127964,130451,132963,135547,138039,140693,143415,146090,148829,151660,154564,157424,160368,163321,166383,169464,172648,175774,178999,182336,185684,189047,192469,195971,199584,203279,206977,210783,214504,218391,222294,226359,230544,234708,238882
1,1,1,1,1,1,1,1,3,5,5,5,5,9,10,11,13,13,17,20,21,23,24,27,29,30,34,38,40,49,51,53,53,54,54,62,63,72,77,77,81,85,94,101,107,112,118,129,132,139,147,152,161,173,181,187,197,199,204,214,218,223,230,240,247,252,261,276,285,297,312,327,342,355,367,387,397,415,436,456,470,491,507,522,534,551,572,590,608,627,646,661,690,731,758,787,822,851,882,918,952,993,1026,1063,1105,1142,1182,1227,1263,1312,1357,1389,1424,1467,1516,1560,1610,1662,1704,1745,1790,1832,1877,1917,1972,2022,2067,2116,2156,2194,2240,2293,2348,2389,2428,2472,2516,2556,2615,2664,2730,2796,2850,2915,2976,3031,3089,3149,3207,3265,3316,3389,3434,3492,3554,3614,3664,3740,3802,3868,3944,4036,4112,4183,4262,4363,4463,4557,4665,4805,4927,5075,5220,5393,5583,5764,5922,6095,6259,6435,6600,6776,6936,7088,7234,7407,7592,7761,7988,8267,8495,8737,9023,9282,9554,9845,10094,10385,10661,10954,11233,11488,11752,12013,12255,12477,12728,12944,13174,13409,13630,13844,14023,14238,14444,14651,14865,15047,15223,15423,15629,15786,15957,16151,16333,16494,16662,16844,17028,17206,17368,17543,17724,17915,18104,18307,18488,18674,18887,19099,19319,19564,19813,20042,20280,20512,20741,20975,21239,21510,21798,22126,22467,22754,23115,23470,23856,24176,24497,24859,25219,25580,25942,26313,26659,27030,27398,27762,28151,28546,28979,29400,29843,30261,30720,31161,31608,32046,32533,32953,33375,33812,34276,34714,35149,35612,36064,36505,36953,37448,37942,38414,38885,39405,39916,40450,41025,41564,42147,42719,43351,43949,44493,45155,45797,46467,47142,47820,48540,49244,49943,50676,51393,52129,52872,53706,54469,55256,56064,56873,57684,58579,59462,60369,61310,62232,63180,64211,65198,66273,67392,68506,69613,70732,71854,73035,74210,75491,76724,77954,79244,80631,81990,83435,84843,86299,87710,89217,90774,92349,93843,95379,96943,98522,100156,101771,103382,105089,106729,108506,110268,112094,113909,115707,117587,119409,121287,123218,125320,127354,129423,131544,133696,135895,138171,140615,142995,145442,147972,150604,153255,155900,158650,161449,164395,167298,170297,173334,176436,179623,182819,186084,189437,192824,196325,199793,203309,207062,210824,214654,218650,222616,226776,231000,235459,240061,244619,249169,253813,258611,263348,268317,273115,277956,283001,288135,293430,298766,304139,309576,315198,320826,326530,332312,338492,344757,350877,357314,363676,370353,376931,383595,390277,397133,403983,411112,418033,425111,432196,439419,446640,454064,461578,469125,476776,484458,492257,500140,508124,516329,524350,532751,541159,549501,557896,566417,575153,583907,592621,601551,610549,619479,628580,637946,647307,656856,666381,676239,686138,696045,706104,716289,726527,736846,747364,758026,768601,779514,790321,801316,812456,823619,835011,846393,857862,869555,881254,893135,905142,917207,929441,942013,954770,967538,980355,993367,1006562
1,1,1,1,2,3,4,5,5,5,7,7,7,7,7,7,7,9,9,10,11,14,14,14,15,16,17,17,17,19,21,25,25,26,26,29,32,34,35,38,38,41,43,45,45,45,48,48,51,54,55,60,62,65,72,76,81,84,85,92,95,99,100,103,107,112,118,123,126,129,133,138,142,145,152,158,159,165,168,170,174,178,182,186,190,195,196,203,210,214,223,229,238,246,251,256,264,272,281,284,290,296,305,316,322,334,342,354,365,372,383,396,412,424,436,448,462,472,481,492,502,518,532,545,557,572,585,602,624,641,661,677,699,715,729,749,774,798,817,842,861,892,911,938,966,987,1009,1024,1052,1073,1093,1114,1144,1172,1200,1230,1257,1276,1309,1349,1379,1426,1453,1485,1523,1558,1599,1629,1665,1705,1745,1784,1822,1862,1902,1940,1986,2030,2080,2129,2176,2221,2261,2312,2374,2432,2497,2551,2618,2673,2747,2814,2888,2961,3045,3136,3225,3316,3422,3531,3627,3740,3859,3976,4086,4222,4350,4472,4607,4748,4876,5025,5169,5313,5475,5610,5786,5948,6115,6295,6483,6662,6881,7052,7232,7411,7613,7810,8027,8239,8468,8716,8954,9190,9456,9732,10010,10277,10582,10877,11193,11546,11903,12262,12685,13086,13508,13915,14326,14775,15235,15704,16203,16707,17145,17650,18144,18701,19255,19808,20389,21001,21625,22205,22828,23466,24120,24720,25377,26042,26757,27488,28181,28911,29647,30366,31030,31820,32533,33290,34081,34817,35600,36423,37247,38130,39016,39876,40813,41709,42634,43594,44533,45508,46548,47580,48553,49613,50646,51797,52930,54098,55301,56501,57765,59033,60266,61569,62896,64205,65563,66949,68406,69925,71360,72863,74381,75962,77552,79176,80800,82434,84086,85810,87603,89278,90974,92753,94561,96368,98244,100132,102031,104029,105961,108007,110030,112071,114196,116296,118425,120588,122711,124933,127144,129480,131838,134133,136649,139115,141653,144308,146974,149708,152498,155335,158180,161064,164120,167204,170407,173575,176804,180147,183568,186979,190412,194078,197625,201292,205006,208875,212750,216714,220697,224866,229054,233326,237703,242113,246626,251116,255774,260665,265692,270674,275823,281029,286377,291797,297305,302951,308744,314613,320682,326742,332894,339102,345542,352077,358688,365274,372137,379162,386312,393581,400856,408104,415497,423085,430803,438831,446824,454980,463162,471259,479613,488060,496528,505337,514271,523291,532389,541539,550839,560098,569567,579357,589042,598773,608601,618725,629038,639390,649783,660472,671168,682100,693109,704204,715333,726722,738198,749710,761367,773198,785051,797193,809408,821873,834206,847061,859819,872421,885239,898485,911520,924901,938278,951696,965142,978956,992746,1006536,1020757,1035067,1049306,1063654,1078396,1093012,1107882,1123073,1138177,1153392,1168777,1184179,1199936,1215768,1231683,1247775,1263959,1280251,1296953,1313469,1330300,1347331,1364386,1381808,1399634,1417625,1435912,1454309,1472719,1491571,1510490,1529573,1548846
1,1,2,3,3,3,3,5,5,9,12,14,15,16,17,17,18,21,23,25,26,27,28,29,30,34,38,47,52,55,59,62,67,73,84,96,101,107,112,121,124,130,137,151,166,177,192,203,216,235,251,261,269,283,297,311,325,339,351,367,384,397,413,438,465,480,497,519,535,556,580,591,610,629,641,690,714,739,765,787,810,847,867,890,919,954,988,1010,1047,1074,1098,1120,1152,1207,1253,1286,1312,1347,1399,1449,1493,1537,1584,1650,1704,1767,1829,1901,1979,2040,2123,2190,2272,2341,2434,2529,2625,2733,2822,2939,3064,3165,3272,3396,3514,3615,3736,3838,3950,4072,4205,4348,4493,4628,4785,4954,5105,5271,5431,5599,5768,5970,6169,6365,6596,6834,7079,7322,7561,7795,8037,8251,8516,8772,9036,9316,9608,9889,10182,10468,10774,11097,11423,11773,12131,12505,12917,13301,13729,14130,14610,15048,15514,16028,16506,17009,17493,18049,18548,19108,19650,20159,20671,21234,21771,22330,22913,23469,24022,24559,25224,25817,26416,27051,27624,28270,28889,29536,30249,31006,31735,32525,33339,34127,34987,35848,36776,37648,38596,39514,40503,41467,42517,43535,44656,45685,46802,47871,49042,50136,51280,52371,53457,54645,55771,56986,58189,59475,60694,61990,63272,64655,65995,67395,68775,70249,71724,73276,74812,76371,77916,79548,81208,82857,84493,86127,87800,89512,91255,92989,94819,96718,98664,100572,102451,104480,106470,108580,110776,112904,115120,117344,119568,121915,124352,126768,129297,131723,134329,136905,139596,142239,144890,147593,150376,153284,156214,159227,162240,165330,168435,171527,174681,177959,181217,184649,187951,191350,194847,198326,201956,205504,209301,213045,216888,220741,224803,228856,232834,237082,241437,245747,250259,254897,259683,264433,269465,274434,279452,284551,289817,295166,300514,305963,311499,317073,322591,328288,334087,340004,346011,352071,358281,364638,370900,377214,383681,390202,396920,403508,410269,417155,424326,431617,438999,446618,454239,462198,470015,478080,486176,494269,502615,510931,519476,527988,536839,545585,554339,563106,572178,581365,590699,600133,609641,619300,628875,638445,648317,658422,668505,678500,688661,698854,709159,719523,729940,740213,750657,761275,771965,782618,793458,804557,815562,826784,838131,849487,861109,872869,884573,896625,908834,921191,933633,946063,958604,970955,983628,996681,1009753,1022790,1035854,1049013,1062540,1076176,1089996,1103744,1117685,1131838,1146069,1160621,1175175,1189781,1204342,1219184,1234074,1249309,1264638,1280201,1296017,1311930,1328161,1344300,1360716,1377384,1393925,1410717,1427836,1445373,1463153,1481022,1498904,1516878,1535352,1553891,1572725,1591740,1610759,1629930,1649058,1668225,1687737,1707529,1727585,1747498,1767690,1787791,1808374,1828947,1849615,1870756,1891878,1912998,1934151,1955150,1976328,1997639,2019369,2041004,2062631,2084563,2106447,2128360,2150351,2172527,2194964,2217524,2240330,2263213,2285819,2308716,2331657,2354847,2378139,2401857,2425759,2449460,2473280,2497407,2521718,2545986,2570357,2595011,2619796,2644828,2669539,2694536,2719742,2745174,2770633,2796246,2821671,2847464,2873148,2898770,2924697,2950822,2976760,3003084,3029356,3055836,3082303,3109058,3135647,3162556,3189468
1,1,1,1,2,4,5,5,7,10,10,13,16,19,22,22,22,23,23,27,30,34,38,40,45,47,50,50,54,57,63,68,76,88,94,98,107,111,114,121,132,134,146,152,157,162,176,195,207,213,224,231,238,250,258,266,277,287,299,308,315,329,341,352,368,378,392,399,411,428,439,456,468,475,483,498,511,517,525,532,544,553,572,582,596,607,613,625,642,651,659,673,681,690,704,723,733,747,765,781,796,809,823,839,860,875,893,908,935,950,966,996,1011,1042,1065,1081,1101,1128,1158,1182,1212,1240,1270,1284,1313,1342,1374,1413,1441,1477,1515,1553,1588,1614,1648,1672,1699,1726,1767,1791,1823,1853,1880,1915,1948,1978,2011,2043,2068,2104,2131,2156,2182,2218,2254,2288,2322,2353,2388,2420,2454,2494,2529,2553,2593,2632,2665,2693,2734,2766,2799,2825,2867,2886,2916,2943,2977,3010,3047,3086,3127,3166,3206,3243,3296,3339,3377,3436,3477,3529,3586,3633,3679,3731,3781,3838,3897,3952,4007,4060,4113,4180,4261,4309,4385,4453,4514,4600,4672,4739,4814,4892,4957,5030,5107,5182,5245,5320,5416,5471,5543,5613,5689,5771,5836,5907,5970,6039,6101,6178,6237,6311,6389,6462,6531,6602,6676,6765,6846,6928,7009,7095,7201,7272,7369,7462,7563,7664,7780,7909,8019,8160,8293,8449,8572,8703,8848,9018,9193,9385,9621,9844,10061,10289,10489,10709,10944,11167,11415,11623,11863,12113,12357,12621,12873,13170,13480,13754,14077,14386,14703,15050,15404,15772,16116,16504,16927,17352,17757,18218,18660,19074,19546,20004,20462,20918,21371,21801,22262,22714,23172,23646,24043,24498,24944,25423,25890,26389,26873,27358,27865,28399,28942,29464,30023,30601,31148,31677,32256,32890,33484,34104,34736,35371,36015,36642,37356,38049,38746,39395,40105,40813,41545,42246,42982,43786,44534,45305,46082,46824,47646,48396,49251,50070,50855,51741,52644,53541,54448,55394,56367,57271,58203,59231,60296,61425,62518,63664,64868,66067,67251,68540,69862,71212,72598,73946,75351,76821,78307,79799,81424,83004,84593,86310,87966,89658,91492,93399,95285,97206,99167,101148,103239,105310,107471,109677,111914,114239,116560,118950,121336,123817,126500,129092,131737,134373,137108,139908,142690,145481,148360,151340,154250,157215,160272,163449,166598,169790,173084,176350,179570,182953,186384,189858,193445,197002,200703,204427,208161,211969,215925,219907,223903,228016,232274,236602,240888,245336,249728,254212,258847,263579,268495,273456,278405,283602,288852,294277,299782,305459,311204,316950,322794,328754,334977,341311,347664,354320,360984,367642,374341,381190,388213,395343,402669,410032,417658,425432,433200,441136,449230,457399,465638,474048,482439,490912,499513,508204,516911,525558,534518,543406,552447,561758,571094,580602,590213,599783,609630,619700,630078,640532,651202,662006,672832,684018,695255,706677,718161,729799,741730,753729,765964,778151,790401,802985,815699
1,1,1,1,1,1,1,2,3,3,3,5,6,8,8,10,10,12,12,12,12,13,18,23,29,34,37,38,42,48,53,59,65,74,79,87,92,95,103,110,125,132,141,149,153,162,168,173,178,187,192,200,204,212,217,220,225,231,242,250,257,265,270,279,286,295,302,312,319,323,327,335,343,350,360,363,374,384,388,394,404,412,417,424,433,441,450,456,461,468,474,479,483,491,502,506,515,521,529,535,540,548,552,560,567,576,582,590,602,613,621,632,641,651,663,676,685,694,704,713,720,727,738,744,752,758,761,772,781,789,800,810,817,824,833,840,846,853,858,860,863,869,875,883,890,897,902,906,910,919,926,935,938,941,946,954,959,964,973,979,983,989,994,1000,1003,1009,1014,1018,1025,1031,1039,1046,1055,1058,1064,1068,1070,1072,1077,1079,1084,1093,1101,1103,1111,1116,1118,1123,1128,1130,1134,1143,1148,1160,1170,1175,1183,1188,1199,1210,1216,1229,1238,1246,1255,1261,1276,1286,1293,1300,1307,1314,1320,1328,1337,1347,1360,1377,1385,1394,1398,1406,1411,1413,1419,1427,1440,1454,1469,1479,1490,1497,1508,1513,1516,1525,1537,1554,1567,1578,1593,1605,1618,1626,1650,1669,1687,1717,1733,1750,1773,1814,1831,1857,1884,1902,1923,1947,1974,2001,2013,2035,2059,2080,2114,2139,2166,2206,2226,2252,2287,2329,2360,2401,2433,2468,2511,2564,2614,2673,2730,2794,2875,2948,3032,3108,3217,3330,3420,3528,3654,3762,3873,4007,4154,4291,4412,4534,4660,4805,4969,5122,5293,5458,5650,5834,6038,6223,6442,6659,6865,7071,7312,7544,7761,7979,8217,8464,8685,8974,9241,9499,9731,9976,10226,10499,10774,11035,11294,11570,11854,12133,12434,12750,13051,13372,13684,14065,14412,14788,15110,15470,15809,16153,16531,16881,17254,17640,18001,18386,18750,19104,19494,19863,20252,20634,20989,21371,21765,22165,22633,23049,23490,23938,24380,24834,25276,25758,26178,26695,27168,27716,28266,28798,29354,29919,30458,31061,31643,32267,32960,33612,34321,35045,35762,36527,37352,38162,38983,39806,40629,41433,42321,43223,44069,44956,45854,46793,47732,48734,49819,50953,52015,53171,54389,55588,56891,58206,59572,60954,62397,63805,65230,66655,68115,69533,70959,72468,73969,75532,77065,78652,80242,81885,83572,85221,86977,88662,90441,92278,94091,95953,97850,99742,101716,103630,105681,107720,109820,111986,114118,116378,118632,120928,123172,125493,127996,130497,133064,135628,138288,140986,143694,146394,149150,151953,154867,157750,160725,163888,166969,170205,173426,176705,180007,183427,186831,190367,193841,197379,201070,204602,208216,211891,215637,219316,222996,226753,230644,234511,238386,242457,246645,250778,255087,259290,263572,267963,272376,276784,281335,286048,290724,295504,300450,305427,310417
1,1,1,3,4,5,7,8,8,8,8,8,8,11,13,13,17,20,21,24,26,30,33,38,42,45,48,51,52,54,56,59,64,65,65,69,70,73,76,83,89,96,105,112,119,129,132,145,159,169,177,186,195,205,214,228,238,249,263,275,286,292,305,314,323,337,355,369,377,396,414,430,443,463,480,491,506,517,528,540,552,564,580,590,606,620,633,645,658,671,678,690,699,717,728,742,755,769,779,790,805,815,834,844,852,861,867,873,879,891,904,918,933,941,957,969,978,994,1005,1016,1027,1044,1056,1069,1076,1094,1105,1117,1125,1135,1140,1149,1160,1174,1189,1196,1213,1224,1238,1258,1270,1280,1293,1306,1318,1334,1343,1363,1384,1402,1423,1432,1452,1477,1497,1518,1532,1557,1575,1592,1610,1632,1655,1670,1685,1710,1741,1778,1812,1844,1877,1902,1922,1956,1992,2029,2074,2111,2146,2180,2209,2238,2267,2310,2338,2373,2403,2435,2467,2493,2527,2555,2587,2616,2648,2673,2703,2743,2778,2805,2837,2867,2904,2938,2982,3046,3097,3132,3182,3231,3281,3331,3377,3429,3476,3536,3593,3640,3704,3756,3826,3887,3957,4025,4118,4196,4275,4361,4468,4533,4618,4700,4801,4908,5012,5108,5195,5312,5447,5570,5685,5807,5925,6065,6190,6290,6443,6574,6712,6865,7011,7149,7295,7430,7605,7751,7912,8082,8248,8432,8617,8830,9048,9290,9554,9817,10091,10374,10647,10909,11179,11499,11777,12065,12372,12664,12948,13264,13588,13911,14252,14617,14914,15254,15599,15943,16304,16681,17056,17365,17696,18047,18419,18790,19209,19613,19990,20387,20739,21148,21566,21979,22421,22891,23350,23828,24390,24908,25464,26022,26629,27218,27833,28477,29168,29847,30556,31167,31798,32471,33123,33795,34422,35089,35722,36349,37020,37669,38347,38991,39621,40281,40876,41523,42172,42827,43454,44119,44783,45472,46142,46848,47604,48374,49109,49891,50626,51468,52269,53112,54041,54918,55804,56729,57608,58587,59567,60508,61551,62569,63631,64687,65774,66906,68069,69184,70322,71545,72841,74201,75493,76879,78211,79683,81092,82600,84114,85700,87393,89039,90834,92603,94501,96401,98366,100277,102283,104356,106481,108656,110792,113108,115579,117974,120454,122942,125624,128351,131236,134183,137139,140091,143154,146244,149390,152448,155703,158925,162229,165542,169050,172613,176247,179992,183861,187638,191486,195479,199594,203598,207846,212174,216521,220951,225634,230298,235071,239980,245052,250226,255422,260741,266216,271745,277355,283135,289170,295084,301156,307299,313520,319955,326369,332744,339113,345881,352632,359453,366353,373234,380240,387484,394688,402059,409559,417111,424729,432360,440228,448252,456338,464506,472891,481306,489702,498377,507147,515763,524594,533695,542927,552307,561505,571013,580592,590432,600132,610009,619943,630100,640315,650795,661248,671874,682484,693538,704611,715857,727330,738654,750157,762012,774148,786182,798392,810821,823355
1,1,1,1,1,3,5,5,5,5,7,10,14,16,18,19,19,21,24,29,29,30,35,37,40,42,44,50,53,59,63,70,74,77,79,82,90,95,101,109,117,120,129,135,139,144,152,157,159,166,174,180,183,185,189,191,196,202,208,214,219,222,230,236,239,243,249,256,262,267,277,285,292,304,314,324,330,335,344,350,358,369,374,386,397,405,423,434,446,454,467,472,480,489,499,513,523,538,547,566,581,594,604,622,641,659,672,690,702,718,726,741,755,771,785,797,816,838,852,865,881,890,907,920,933,948,963,975,994,1009,1026,1039,1048,1060,1078,1094,1110,1131,1153,1176,1192,1210,1233,1253,1276,1292,1313,1333,1355,1374,1390,1410,1426,1446,1457,1478,1505,1521,1546,1570,1590,1608,1631,1651,1676,1701,1728,1754,1779,1807,1832,1860,1883,1911,1942,1978,2008,2040,2073,2098,2124,2171,2222,2271,2321,2375,2450,2524,2594,2685,2803,2938,3076,3248,3422,3608,3807,4001,4210,4394,4586,4807,5037,5227,5428,5629,5836,6038,6218,6414,6614,6808,7038,7238,7456,7705,7946,8194,8437,8683,8984,9254,9513,9829,10157,10474,10786,11119,11475,11819,12180,12527,12890,13232,13585,13965,14316,14658,14981,15345,15702,16042,16380,16740,17088,17411,17767,18132,18540,18878,19268,19635,20007,20410,20780,21189,21579,22038,22468,22910,23378,23855,24332,24846,25395,25931,26510,27096,27681,28267,28872,29513,30217,30920,31611,32326,33006,33737,34477,35233,35942,36694,37454,38212,39032,39795,40599,41387,42197,43036,43853,44666,45514,46358,47239,48155,49072,49919,50835,51770,52777,53668,54609,55635,56613,57625,58623,59595,60664,61677,62771,63809,64877,65942,67031,68078,69234,70362,71508,72740,73999,75220,76481,77812,79199,80682,82203,83740,85294,86925,88550,90154,91754,93469,95210,96961,98842,100663,102549,104349,106290,108144,109959,111928,113857,115824,117834,119879,121899,123912,125970,128136,130235,132389,134593,136672,138874,141085,143373,145684,147938,150306,152717,155101,157571,160095,162776,165456,168219,171041,173900,176799,179807,182784,185784,188840,191853,195064,198377,201597,204926,208187,211656,215088,218636,222343,226040,229991,233864,237736,241780,245781,249805,254054,258431,262871,267292,271940,276692,281466,286308,291305,296333,301619,306873,312272,317819,323256,329031,334692,340409,346423,352320,358370,364191,370398,376652,382879,389185,395398,401822,408170,414805,421413,428252,435103,442363,449395,456690,464015,471539,479042,486755,494669,502442,510246,518356,526395,534894,543328,551782,560410,569323,578288,587271,596498,605798,615254,624910,634580,644526,654657,665035,675326,686095,697031,707941,719154,730134,741373,752879,764708,776496,788338,800259,812353,824692,837150,849297,861727,874339,887014,900089,913057,926095,939136,952586,966395,980336,994545,1008522,1022559,1037027,1051428,1066026,1080809,1095724,1110709,1126179,1141655,1157185,1172797,1188547,1204455,1220375,1236327,1252667
1,1,1,1,1,1,3,4,6,7,10,10,11,12,13,15,16,18,21,27,32,35,39,44,49,56,59,61,61,65,68,77,87,91,96,99,102,110,115,120,128,131,140,145,156,164,178,190,198,207,218,223,231,238,253,266,284,296,309,319,334,349,355,370,378,387,401,417,435,456,470,485,498,513,522,537,553,569,588,609,628,641,658,677,697,714,734,751,773,802,823,849,872,899,922,949,987,1023,1061,1104,1161,1222,1282,1341,1408,1458,1512,1565,1629,1692,1762,1821,1893,1965,2030,2102,2169,2257,2340,2449,2567,2662,2774,2904,3026,3133,3255,3393,3507,3637,3775,3913,4040,4193,4351,4497,4638,4761,4889,5026,5166,5315,5473,5620,5780,5929,6076,6232,6392,6535,6686,6800,6946,7094,7232,7382,7536,7654,7794,7946,8091,8233,8379,8525,8678,8843,8976,9113,9257,9408,9603,9791,9957,10146,10316,10529,10734,10902,11071,11276,11482,11711,11929,12152,12387,12624,12850,13082,13326,13576,13844,14081,14348,14604,14877,15172,15454,15731,16025,16348,16642,17003,17348,17717,18065,18418,18774,19154,19533,19936,20301,20726,21132,21517,21959,22379,22832,23268,23694,24157,24606,25115,25615,26149,26697,27253,27825,28419,28987,29586,30226,30811,31500,32141,32868,33568,34283,35002,35708,36459,37294,38107,38919,39750,40626,41486,42356,43212,44122,45032,46005,47008,47988,48977,49953,51015,52043,53032,54002,55053,56130,57129,58157,59195,60197,61288,62377,63503,64667,65767,66923,68136,69348,70526,71767,73085,74417,75851,77258,78749,80257,81754,83234,84784,86340,87989,89619,91258,92849,94602,96271,98015,99828,101600,103525,105431,107380,109412,111489,113577,115750,117945,120273,122651,124960,127283,129739,132200,134728,137284,139743,142360,144979,147703,150420,153155,155929,158744,161620,164411,167385,170313,173326,176476,179653,182742,186005,189320,192729,196034,199473,203047,206677,210333,214001,217656,221360,225038,228669,232577,236396,240389,244434,248617,252897,257081,261411,265797,270447,275015,279782,284442,289166,294056,298869,303920,308900,314137,319389,324924,330453,336114,341870,347703,353707,359786,365800,372052,378234,384601,391278,397983,404798,411825,418911,426226,433462,440914,448635,456572,464588,472563,480599,488919,497279,505622,514245,523009,531793,540830,549850,559059,568336,577711,587055,596666,606470,616288,626206,636336,646626,656864,667458,678226,689137,700389,711584,723141,734693,746480,758378,770571,783014,795433,808108,820856,833830,847107,860466,874144,888189,902315,916477,930661,945397,960116,975132,990173,1005315,1020678,1036324,1051922,1067580,1083228,1099343,1115503,1131710,1148334,1164797,1181349,1198225,1215164,1232225,1249492,1266652,1283793,1301558,1319357,1337112,1355193,1373606,1392001,1410376,1428975,1448040,1466873,1486081,1505601,1525109,1544710,1564474,1584403,1604535,1624638,1644844,1665194,1685628,1706063,1726787,1747638,1768379,1789199,1810076,1830925,1852056,1873403,1895282,1916896,1938527,1960268,1981882,2003743,2025724,2047433,2069355,2091474,2113676,2135736,2158268,2180739,2203154,2225761,2248463,2271003,2293845,2316730,2339672
1,1,1,1,1,1,2,2,3,4,6,8,9,9,11,17,23,25,26,27,30,30,31,35,38,40,42,44,46,50,53,55,60,60,65,69,71,74,75,78,81,88,90,95,100,102,103,104,106,107,110,111,115,118,121,127,133,140,147,152,158,161,165,168,172,177,180,183,186,189,193,200,206,211,221,228,237,245,252,262,265,284,291,299,307,313,319,326,337,349,354,366,374,376,383,390,398,407,414,420,426,430,439,445,453,462,470,476,489,498,506,511,521,530,545,557,568,573,585,595,607,619,633,642,657,668,684,703,717,729,743,753,765,781,792,800,815,828,846,868,882,893,906,917,933,941,958,966,982,1000,1018,1033,1056,1068,1080,1095,1109,1133,1150,1169,1182,1194,1214,1239,1257,1274,1295,1313,1333,1349,1372,1391,1413,1433,1444,1471,1491,1518,1532,1549,1574,1588,1604,1619,1635,1655,1684,1709,1728,1750,1778,1788,1812,1837,1866,1886,1906,1920,1943,1971,2002,2036,2068,2100,2125,2154,2186,2217,2244,2278,2313,2336,2374,2417,2447,2490,2528,2577,2600,2637,2666,2687,2719,2751,2785,2810,2852,2897,2932,2973,3019,3060,3095,3139,3181,3220,3274,3316,3370,3438,3514,3576,3650,3724,3802,3876,3955,4045,4156,4256,4332,4418,4521,4632,4730,4826,4933,5046,5155,5263,5391,5519,5652,5772,5892,6025,6169,6306,6459,6632,6800,6964,7116,7302,7483,7648,7838,8051,8253,8494,8711,8949,9164,9364,9580,9791,10031,10302,10548,10783,11070,11353,11607,11916,12235,12533,12843,13157,13471,13771,14129,14455,14810,15192,15560,15972,16359,16751,17173,17562,17974,18391,18812,19198,19615,20016,20406,20802,21188,21596,22033,22482,22911,23293,23735,24190,24616,25022,25476,25926,26386,26828,27283,27776,28215,28675,29117,29576,30075,30596,31078,31598,32100,32651,33208,33718,34245,34819,35372,35947,36539,37097,37710,38347,38945,39607,40266,40933,41631,42361,43053,43831,44577,45307,46072,46834,47562,48382,49201,50029,50846,51740,52648,53543,54503,55445,56424,57413,58373,59444,60492,61552,62704,63811,64942,66059,67198,68385,69569,70725,71981,73185,74397,75562,76823,78073,79253,80612,81926,83345,84856,86320,87819,89277,90741,92314,93929,95642,97289,98944,100739,102717,104671,106686,108732,110923,113039,115275,117561,119851,122225,124578,126985,129445,131944,134451,136953,139631,142116,144773,147409,150138,152957,155840,158681,161632,164601,167689,170945,174207,177509,180892,184373,187996,191721,195538,199409,203336,207394,211572,215720,219967,224400,228715,233210,237821,242490,247242,252002,256940,261973,266909,271940,277026,282173,287318,292515,298006,303518,309172,314895,320688,326539,332496,338666,344771,350969,357378,363926,370634,377383,384357,391450,398478,405671,413067,420691,428181,436125,443924,451888,459868,468116,476549,484899,493617,502121
1,1,1,1,1,1,2,3,5,5,5,5,6,9,9,9,10,10,10,15,17,18,22,23,24,26,28,33,40,43,48,52,58,61,68,71,75,78,81,86,89,95,97,102,105,108,115,118,124,131,135,142,146,149,154,155,165,173,178,186,193,198,201,203,208,210,216,222,229,231,238,243,247,248,252,256,261,271,281,289,290,300,309,314,323,328,332,336,338,343,346,353,356,365,372,375,381,391,397,403,406,407,411,412,417,423,426,429,433,438,445,453,458,466,472,478,487,496,505,508,520,528,531,545,554,557,569,579,584,591,600,607,615,620,629,636,646,654,664,670,688,705,715,730,751,769,789,806,820,838,855,881,903,927,950,971,992,1016,1040,1063,1088,1110,1145,1172,1198,1219,1245,1280,1311,1346,1366,1397,1424,1449,1487,1520,1558,1582,1616,1639,1666,1698,1735,1762,1804,1839,1868,1896,1932,1968,2002,2041,2062,2100,2135,2170,2205,2232,2262,2307,2343,2379,2407,2445,2477,2510,2543,2573,2604,2635,2665,2695,2723,2757,2787,2824,2856,2890,2918,2936,2976,3022,3072,3112,3155,3191,3236,3268,3313,3373,3412,3458,3505,3564,3614,3662,3713,3768,3816,3871,3919,3957,4010,4067,4132,4175,4218,4263,4309,4364,4401,4430,4474,4530,4570,4619,4677,4721,4760,4809,4850,4890,4928,4979,5015,5050,5105,5146,5188,5240,5281,5320,5372,5417,5471,5533,5592,5643,5699,5751,5800,5864,5946,5999,6052,6132,6188,6254,6326,6375,6449,6518,6571,6637,6711,6765,6816,6897,6973,7044,7119,7191,7265,7351,7446,7532,7614,7704,7777,7857,7946,8055,8141,8241,8346,8444,8550,8660,8769,8860,8983,9114,9236,9389,9504,9622,9761,9885,9998,10122,10278,10424,10568,10727,10865,10994,11165,11324,11482,11647,11789,11943,12100,12304,12477,12661,12855,13018,13186,13376,13578,13788,14004,14221,14452,14698,14947,15219,15494,15793,16090,16374,16679,16981,17292,17608,17958,18360,18757,19115,19523,19966,20356,20788,21236,21702,22196,22670,23159,23694,24193,24694,25202,25716,26249,26820,27357,27917,28432,29018,29573,30156,30748,31343,31948,32557,33255,33954,34663,35390,36148,36949,37770,38586,39503,40443,41474,42500,43532,44609,45633,46735,47867,49023,50204,51408,52661,53921,55179,56499,57826,59200,60526,61951,63344,64803,66278,67720,69238,70750,72365,73985,75719,77395,79222,81057,82877,84763,86743,88780,90908,93044,95331,97728,100119,102575,105113,107723,110427,113175,115945,118682,121388,124234,127156,129992,132960,135911,138904,141933,145031,148075,151378,154449,157614,160851,164147,167532,170889,174328,177858,181376,185157,188956,192846,196919,200968,205120,209303,213616,217995,222493,226987,231665,236437,241038,245829,250578,255375,260345,265335,270290,275482,280596,285861,291177,296501
1,1,1,1,2,2,4,4,5,5,7,7,9,11,16,19,24,26,28,29,30,33,33,42,46,49,56,58,61,65,69,70,72,77,81,85,90,90,93,98,99,102,107,113,114,119,123,126,134,137,139,143,145,147,155,171,182,190,199,209,223,233,241,251,259,278,295,314,331,352,370,398,423,444,466,484,506,531,553,569,589,605,623,638,659,676,700,723,740,767,795,815,838,860,885,911,945,963,986,1016,1042,1074,1110,1149,1176,1206,1237,1257,1295,1336,1368,1408,1441,1479,1522,1565,1606,1661,1702,1748,1786,1832,1886,1934,1984,2049,2100,2148,2195,2246,2309,2370,2424,2506,2582,2663,2756,2863,2966,3064,3172,3275,3408,3552,3696,3850,4024,4190,4366,4509,4699,4851,5047,5227,5422,5615,5801,5990,6206,6389,6580,6764,6939,7114,7282,7489,7704,7883,8077,8265,8463,8651,8838,9050,9265,9467,9697,9911,10127,10352,10565,10843,11086,11327,11629,11884,12132,12430,12698,12994,13282,13563,13838,14149,14462,14777,15111,15419,15722,16032,16357,16661,16955,17276,17571,17859,18154,18450,18768,19104,19433,19788,20159,20514,20866,21241,21624,22034,22481,22944,23380,23831,24283,24809,25375,25923,26463,27049,27651,28202,28821,29451,30074,30690,31293,31966,32603,33303,33958,34612,35283,35975,36661,37362,38075,38870,39641,40392,41165,41956,42778,43581,44386,45251,46099,47040,47969,48910,49933,50959,51941,52928,53963,55069,56141,57297,58418,59534,60807,62046,63357,64676,66058,67507,68985,70476,72027,73552,75227,76782,78541,80333,82102,83975,85884,87826,89805,91790,93877,95892,98058,100166,102396,104509,106721,109024,111291,113573,115826,118096,120418,122799,125175,127662,130073,132607,135129,137791,140476,143192,146017,148906,151734,154669,157593,160650,163678,166706,169794,172749,176081,179238,182509,185809,189277,192625,196093,199799,203483,207208,210899,214828,218721,222724,226903,231041,235424,239881,244409,249070,253874,258579,263553,268473,273397,278499,283612,288847,294143,299353,304713,310103,315484,320903,326493,332154,337908,343802,349760,355691,361790,368009,374339,380909,387413,393972,400565,407342,414234,421252,428227,435372,442607,450008,457509,465103,472726,480253,487843,495769,503865,511928,520146,528471,536899,545598,554086,562768,571493,580416,589353,598380,607370,616724,626193,635571,645212,655220,665157,675087,685073,695536,706134,716815,727810,738673,749891,761366,772956,784840,796849,808891,821143,833642,846299,859033,871716,884708,898045,911333,924707,938390,952190,966255,980271,994388,1008724,1023350,1038113,1052798,1067672,1082551,1097434,1112646,1127970,1143402,1159021,1174751,1190687,1206975,1223308,1239670,1256317,1273461,1290504,1307724,1325205,1342625,1360440,1378373,1396444,1414813,1433158,1451664,1470481,1489221,1508071,1527171,1546445,1565896,1585226,1605278,1624889,1644994,1665520,1685686,1706259,1726888,1747368,1767863,1788575,1809566,1830979,1852086,1873263,1894872,1916566,1938478,1960185,1982310,2004251,2026504,2048775,2071628,2094354,2117387,2140554,2163680,2186909,2210283,2234026,2257510,2281065,2304938,2328919,2352879,2376984
1,1,1,1,1,2,6,6,6,8,9,15,18,22,24,29,34,38,42,48,51,53,57,61,63,67,68,70,72,75,79,83,88,88,92,93,96,97,99,102,104,104,104,104,108,109,113,114,118,123,126,129,130,132,135,138,142,147,149,153,157,160,162,166,173,178,179,180,182,184,189,193,199,205,212,216,223,223,229,233,239,245,253,257,263,267,274,279,282,292,298,300,304,313,321,331,336,344,355,363,367,374,392,410,419,426,443,454,472,492,500,518,540,553,562,574,588,609,627,648,667,681,708,735,757,779,801,827,851,879,899,917,947,972,1001,1024,1046,1066,1089,1117,1148,1183,1208,1236,1259,1296,1326,1371,1405,1432,1468,1496,1537,1569,1595,1621,1663,1700,1734,1772,1817,1862,1910,1944,1975,2002,2033,2063,2093,2136,2175,2209,2241,2271,2301,2327,2356,2401,2439,2487,2533,2571,2593,2620,2647,2680,2716,2751,2790,2820,2850,2893,2932,2969,3006,3042,3067,3100,3135,3163,3190,3234,3275,3308,3358,3385,3430,3463,3512,3553,3608,3642,3695,3744,3789,3835,3891,3943,3992,4047,4091,4155,4231,4295,4347,4401,4468,4524,4579,4636,4706,4781,4841,4916,4998,5067,5137,5223,5291,5382,5485,5571,5655,5747,5845,5948,6046,6167,6290,6405,6533,6658,6772,6893,7034,7172,7318,7439,7574,7703,7854,7996,8152,8294,8452,8602,8744,8888,9035,9200,9359,9538,9700,9883,10053,10221,10407,10595,10802,10982,11180,11400,11613,11853,12096,12353,12588,12833,13075,13324,13583,13869,14126,14385,14683,14984,15265,15521,15826,16177,16486,16830,17175,17481,17800,18156,18477,18816,19169,19545,19901,20270,20657,20987,21384,21774,22165,22575,23018,23419,23835,24269,24676,25149,25620,26107,26580,27066,27564,28084,28615,29121,29672,30178,30715,31260,31821,32361,32938,33436,33992,34538,35087,35701,36224,36810,37418,38060,38682,39299,39937,40587,41223,41971,42718,43434,44233,45006,45835,46601,47446,48289,49165,50065,50923,51794,52708,53637,54594,55566,56519,57486,58567,59527,60557,61630,62707,63833,64913,66086,67328,68606,69851,71122,72452,73711,75097,76524,77930,79410,80887,82491,84040,85586,87246,88893,90540,92287,93935,95659,97392,99154,100956,102782,104728,106664,108586,110513,112493,114531,116449,118504,120588,122685,124905,127188,129470,131803,134130,136502,138817,141139,143526,145951,148493,151030,153665,156365,159070,161804,164637,167582,170477,173571,176618,179809,183111,186432,189830,193423,197055,200815,204787,208695,212786,217073,221406,225860,230253,234839,239503,244363,249318,254404,259526,265019,270175,275528,281190,286761,292553,298440,304294,310456,316621,322890,329204,335758,342203,348796,355505,362288,369150,376046,383070,390392,397767,405367,413002,420918,428804,436695,444846,453012,461387,469596,478219,486775,495612,504503,513691,522874,532225,541786,551203,560789,570470
1,1,1,1,1,1,3,4,4,5,5,5,5,5,5,5,7,8,8,8,8,9,10,12,12,12,12,12,12,13,13,13,13,15,16,18,20,21,23,24,24,26,27,28,30,32,33,38,39,41,49,52,56,58,63,65,69,73,78,86,93,96,101,104,110,113,116,123,128,132,138,140,143,154,158,165,173,180,182,185,196,201,206,211,215,221,230,239,241,247,252,259,267,279,294,301,309,322,331,334,341,350,367,374,382,392,403,419,427,440,455,481,494,504,515,534,544,555,560,578,588,598,609,627,650,662,689,707,730,755,775,789,811,832,853,873,899,923,947,972,1002,1023,1043,1073,1104,1128,1160,1182,1203,1231,1247,1270,1298,1320,1346,1359,1375,1392,1412,1428,1449,1468,1487,1509,1538,1563,1585,1602,1623,1646,1669,1695,1721,1737,1761,1784,1807,1823,1847,1868,1888,1914,1930,1958,1983,1998,2014,2034,2064,2090,2126,2152,2182,2205,2231,2258,2285,2309,2339,2364,2390,2420,2455,2487,2521,2553,2601,2641,2686,2719,2758,2800,2825,2862,2898,2941,2969,3008,3045,3081,3123,3165,3210,3252,3295,3346,3393,3454,3500,3552,3594,3644,3719,3797,3873,3951,4019,4102,4178,4250,4322,4392,4471,4568,4643,4746,4845,4935,5012,5108,5179,5278,5364,5463,5550,5642,5742,5834,5936,6043,6109,6194,6276,6362,6431,6514,6597,6690,6759,6846,6946,7032,7158,7266,7379,7479,7595,7708,7813,7941,8067,8179,8333,8497,8671,8848,9014,9188,9372,9545,9759,9969,10166,10409,10618,10862,11104,11349,11585,11868,12120,12398,12669,12960,13240,13546,13875,14230,14546,14872,15183,15525,15871,16245,16601,16986,17356,17755,18109,18505,18908,19289,19663,20065,20473,20890,21298,21697,22080,22540,23030,23526,24017,24532,25054,25570,26139,26731,27347,27938,28596,29275,29910,30602,31339,32124,32885,33679,34504,35403,36312,37218,38074,38934,39810,40648,41561,42411,43423,44380,45330,46299,47277,48332,49478,50553,51620,52728,53910,55095,56342,57597,58873,60147,61433,62781,64129,65483,66881,68318,69716,71105,72529,73952,75370,76801,78304,79792,81259,82742,84234,85844,87452,89024,90639,92247,93964,95651,97449,99271,101045,102980,104901,106844,108758,110723,112761,114829,116798,118914,121051,123243,125480,127719,129973,132249,134491,136858,139176,141534,143977,146451,149004,151571,154067,156692,159394,162019,164681,167536,170304,173069,175874,178754,181760,184791,187934,191133,194426,197610,200870,204131,207434,210857,214321,217866,221458,225042,228716,232552,236351,240338,244406,248468,252599,256780,261019,265183,269427,273850,278317,282777,287447,292139,296868,301714,306566,311392,316259,321309,326538,331973,337293,342793,348421,354096,359985,365695,371539,377369,383325,389473,395697,401972,408445,415235,421820,428459,435360,442319,449299,456345,463670,471014,478430,485900,493553
1,1,1,1,1,3,3,4,4,5,6,7,7,9,10,12,15,17,20,23,25,27,28,30,35,38,41,46,51,55,60,60,65,72,75,80,81,87,91,94,100,105,113,117,120,130,134,139,141,147,152,157,164,168,173,178,183,186,189,193,198,205,208,215,219,222,228,234,241,245,252,259,262,272,281,286,292,299,308,316,326,332,340,346,352,362,370,378,390,398,402,412,421,424,437,447,455,462,467,474,479,487,495,505,519,532,537,547,563,578,587,596,608,624,641,651,662,672,688,699,714,729,748,766,783,804,822,841,870,886,907,934,946,959,981,1003,1023,1042,1061,1090,1111,1134,1160,1181,1206,1221,1238,1256,1270,1292,1314,1351,1368,1390,1414,1443,1470,1501,1521,1543,1564,1588,1611,1635,1656,1680,1705,1730,1757,1787,1808,1831,1857,1895,1921,1941,1966,1992,2023,2046,2075,2099,2128,2157,2182,2211,2236,2264,2295,2327,2349,2375,2398,2413,2425,2443,2464,2485,2506,2549,2576,2613,2647,2683,2722,2764,2800,2838,2878,2919,2965,3008,3056,3107,3158,3209,3260,3311,3368,3429,3485,3539,3602,3654,3714,3759,3816,3876,3916,3967,4021,4084,4140,4202,4255,4310,4368,4429,4502,4567,4616,4677,4730,4793,4857,4914,4971,5032,5082,5140,5207,5292,5365,5435,5513,5590,5675,5747,5822,5907,5986,6067,6136,6227,6304,6393,6461,6533,6613,6692,6784,6875,6954,7047,7129,7245,7339,7444,7546,7642,7744,7843,7962,8083,8227,8362,8510,8649,8798,8945,9067,9207,9351,9489,9623,9768,9924,10094,10260,10412,10569,10744,10896,11065,11245,11418,11613,11831,12037,12246,12465,12687,12945,13193,13464,13726,14019,14300,14592,14899,15218,15532,15829,16145,16453,16781,17094,17391,17730,18038,18340,18660,18975,19287,19610,19912,20273,20638,21024,21400,21814,22242,22675,23114,23569,24048,24541,25029,25517,26021,26521,27006,27519,28047,28516,29102,29597,30142,30717,31296,31873,32442,33034,33605,34210,34860,35510,36158,36821,37496,38181,38854,39575,40311,41048,41787,42586,43355,44109,44928,45777,46629,47493,48374,49261,50209,51134,52068,53011,54013,55010,56054,57113,58259,59379,60552,61693,62911,64136,65416,66722,68101,69462,70890,72371,73733,75239,76759,78392,79975,81577,83199,84894,86608,88367,90155,92082,94044,95948,97860,99918,102000,104107,106217,108342,110495,112815,115170,117473,119934,122352,124808,127319,129921,132533,135300,138032,140882,143759,146844,149811,152833,156003,159104,162372,165723,169116,172637,176238,179891,183636,187384,191204,194969,198983,202969,206991,211170,215453,219773,224112,228499,233078,237610,242149,246838,251519,256325,261126,265974,271009,276031,281184,286256,291456,296715,302179,307527,313098,318814,324644,330698,336751,342964,349239,355606,362161,368834,375648,382578,389586,396720,404000,411459,419120,426921,434645
1,1,1,1,1,2,3,4,5,7,12,15,15,15,20,26,30,34,38,40,44,48,49,53,59,64,69,72,75,78,82,89,99,103,105,111,113,120,126,132,139,144,152,161,171,181,190,200,212,218,227,242,248,265,273,283,294,308,321,334,346,352,362,376,388,402,414,428,440,450,460,474,486,495,501,511,527,540,548,560,570,574,583,594,603,612,618,631,637,648,656,665,673,685,691,702,712,719,725,737,752,766,777,791,797,808,821,833,851,859,869,885,901,914,929,951,968,991,1006,1020,1034,1052,1073,1091,1113,1137,1164,1187,1205,1231,1264,1297,1320,1344,1381,1408,1421,1453,1475,1506,1531,1565,1599,1631,1659,1692,1720,1753,1789,1814,1840,1869,1896,1916,1936,1969,1995,2014,2041,2070,2098,2121,2148,2172,2208,2240,2263,2295,2318,2348,2378,2413,2434,2465,2485,2519,2556,2583,2605,2635,2668,2697,2726,2759,2797,2834,2873,2905,2942,2983,3018,3072,3122,3181,3231,3279,3334,3389,3451,3516,3577,3646,3706,3774,3848,3914,3988,4054,4119,4191,4252,4338,4420,4490,4571,4651,4724,4796,4885,4948,5034,5108,5182,5264,5332,5419,5477,5555,5624,5687,5759,5840,5905,5971,6047,6120,6193,6288,6363,6432,6515,6587,6647,6734,6823,6912,6995,7078,7156,7252,7349,7437,7516,7593,7692,7799,7910,8011,8106,8216,8325,8422,8539,8648,8769,8873,8981,9086,9184,9287,9381,9503,9619,9729,9855,9982,10116,10247,10371,10510,10656,10810,10956,11125,11299,11437,11596,11762,11922,12084,12235,12426,12611,12792,12973,13154,13367,13549,13717,13929,14108,14309,14527,14731,14952,15145,15339,15546,15766,15994,16205,16422,16649,16879,17108,17320,17535,17788,18039,18305,18567,18836,19067,19344,19626,19923,20201,20521,20815,21088,21402,21683,21991,22334,22647,22925,23229,23566,23889,24246,24588,24955,25330,25709,26056,26406,26823,27231,27617,28007,28435,28856,29257,29725,30218,30721,31234,31747,32285,32808,33366,33929,34496,35093,35713,36325,36959,37626,38271,38927,39548,40147,40786,41440,42092,42810,43518,44257,44994,45724,46514,47309,48146,48975,49848,50770,51719,52697,53693,54739,55740,56764,57881,59022,60137,61303,62453,63576,64771,66033,67336,68668,69975,71267,72644,73992,75398,76818,78255,79695,81132,82572,84067,85517,87117,88682,90303,91911,93525,95179,96814,98525,100249,101947,103676,105456,107285,109122,110978,112934,114987,117098,119232,121426,123633,125867,128226,130686,133104,135619,138186,140751,143558,146211,149005,151759,154521,157269,160082,162830,165693,168495,171480,174451,177469,180561,183675,186840,190179,193494,196873,200275,203739,207353,210999,214677,218535,222418,226196,230261,234337,238569,242723,247009,251325,255763,260249,264800,269347,274207,278951,283751,288649,293686,298730,303990,309270,314585,319981,325450,330914,336470,342175,347943,353828,359640,365703
1,1,2,4,4,4,4,4,5,8,13,15,16,20,23,30,40,44,63,78,97,122,140,158,192,218,253,276,314,329,362,383,411,428,451,474,495,519,541,565,598,627,649,680,712,739,772,799,825,855,902,940,980,1025,1070,1108,1161,1218,1275,1339,1391,1462,1528,1608,1675,1754,1836,1907,1972,2051,2129,2210,2299,2382,2476,2555,2632,2734,2811,2911,2993,3079,3195,3287,3394,3505,3621,3736,3858,3969,4076,4199,4321,4454,4581,4699,4829,4967,5116,5269,5431,5625,5784,5949,6119,6294,6486,6667,6858,7048,7240,7455,7664,7888,8084,8327,8547,8782,9027,9258,9482,9698,9972,10219,10472,10701,10921,11148,11435,11689,11939,12219,12486,12735,13005,13299,13609,13912,14228,14522,14867,15181,15531,15867,16192,16528,16880,17248,17667,18085,18493,18907,19353,19766,20243,20694,21144,21619,22092,22601,23135,23690,24233,24816,25381,25968,26592,27218,27911,28539,29205,29917,30582,31293,31990,32721,33422,34156,34891,35693,36476,37272,38145,38979,39879,40800,41726,42709,43698,44664,45685,46689,47749,48809,49877,50972,52073,53208,54394,55627,56863,58066,59295,60568,61877,63243,64677,66122,67570,69148,70793,72390,74050,75714,77429,79296,81004,82850,84621,86514,88469,90401,92370,94432,96602,98782,100955,103198,105415,107629,109918,112219,114586,116965,119409,121960,124503,127191,129897,132613,135411,138224,141119,143948,146878,149880,152843,155797,158900,161967,165164,168524,171786,175188,178636,182170,185741,189234,192904,196608,200361,204177,208173,212087,216128,220139,224187,228245,232470,236825,241160,245495,249891,254218,258509,262974,267651,272281,277018,281827,286638,291463,296365,301219,306110,311150,316212,321367,326613,332016,337421,343001,348656,354392,360130,366209,372102,378217,384262,390674,397085,403635,410273,416964,423880,430860,437817,444956,452127,459455,466898,474361,481952,489564,497348,505251,513258,521643,529904,538538,547198,556083,564935,573980,583243,592573,602143,611724,621730,631909,642199,652413,662907,673411,684063,694881,705887,716965,728323,739600,751240,762827,774650,786789,798990,811410,823930,836564,849310,862504,875869,889482,903401,917593,931817,946070,960790,975914,991083,1006468,1022064,1037769,1053715,1069814,1086210,1102725,1119503,1136820,1154072,1171538,1189161,1206815,1224839,1242609,1260808,1279222,1297900,1316385,1335241,1354403,1373262,1392346,1411959,1431348,1450840,1470540,1490549,1510735,1531045,1551181,1571588,1592226,1612801,1633766,1654765,1675929,1697176,1718561,1740148,1761903,1783710,1805652,1827575,1849640,1872022,1894111,1916508,1939311,1962314,1985519,2008592,2031601,2054717,2078385,2101772,2125666,2149769,2173874,2198217,2222658,2247387,2271789,2296358,2321206,2346317,2371698,2397125,2422518,2447842,2473554,2499096,2524924,2550788,2576490,2602347,2628279,2654168,2680095,2706097,2732244,2758526,2785099,2811421,2838030,2864736,2891419,2918042,2945181,2972018,2998781,3025584,3052376,3079258,3106610,3133642,3160935,3188260,3215536,3242858,3270121,3297594,3325093,3352801,3380503,3408089,3435839,3463607,3491385,3519540,3547528,3575275,3603111,3631276,3659641,3688035,3716599,3745079,3773865,3802578,3831281,3860173,3888919,3917841,3946664,3975478,4004299,4033436,4062853,4091894,4121035,4150372,4180048,4209556,4239016,4268657,4298517,4327697
1,1,1,1,4,4,4,5,7,7,11,16,20,23,25,29,30,30,32,35,38,41,42,44,48,55,57,61,65,69,72,82,85,87,89,94,97,102,105,109,112,114,119,128,131,134,138,143,146,147,147,151,152,158,162,167,169,169,170,172,174,175,177,177,178,180,183,185,185,187,188,188,188,191,192,194,196,199,202,203,205,209,210,213,213,215,217,220,222,225,226,230,234,236,239,245,248,254,256,260,263,266,266,267,269,274,275,282,286,289,299,306,318,325,337,350,360,367,385,395,419,433,456,477,502,527,554,583,611,637,656,691,722,748,777,798,831,854,892,915,945,976,1011,1039,1072,1099,1133,1167,1195,1216,1252,1284,1315,1341,1377,1411,1451,1484,1532,1574,1621,1667,1708,1747,1772,1815,1860,1895,1935,1979,2013,2044,2091,2145,2187,2222,2251,2283,2316,2343,2380,2411,2443,2479,2504,2532,2563,2581,2618,2638,2656,2680,2696,2713,2734,2755,2786,2814,2835,2853,2891,2917,2938,2968,3005,3043,3082,3122,3163,3220,3280,3341,3400,3478,3547,3633,3718,3820,3913,4011,4104,4216,4320,4464,4569,4690,4798,4896,5031,5152,5293,5423,5569,5718,5890,6053,6216,6407,6575,6756,6945,7146,7328,7563,7745,7972,8222,8439,8652,8887,9149,9399,9620,9897,10144,10442,10758,11049,11372,11712,12071,12443,12828,13255,13706,14146,14577,15013,15462,15890,16317,16781,17204,17655,18135,18635,19085,19566,20051,20573,21102,21617,22135,22709,23357,23992,24662,25361,26061,26843,27556,28262,28978,29722,30509,31301,32082,32846,33617,34436,35248,36026,36811,37589,38314,39104,39995,40834,41673,42530,43432,44369,45270,46218,47186,48163,49158,50163,51169,52152,53166,54205,55251,56335,57397,58549,59624,60771,61942,63153,64306,65446,66636,67892,69217,70529,71853,73212,74553,75901,77305,78690,80139,81631,83185,84807,86471,88114,89802,91510,93259,95043,96827,98605,100449,102351,104340,106286,108200,110192,112118,114127,116280,118405,120556,122733,125020,127303,129601,132032,134541,136980,139430,141973,144453,146974,149584,152310,155076,157931,160739,163595,166546,169406,172376,175346,178391,181398,184413,187517,190797,194066,197364,200745,204044,207364,210828,214309,217869,221445,225129,228748,232423,236215,240132,244046,248234,252465,256638,260975,265355,269713,274199,278649,283234,288066,292790,297773,302815,307903,312919,318103,323379,328808,334284,339919,345567,351369,357272,363296,369534,375762,382108,388575,395028,401645,408427,415352,422291,429434,436709,444066,451479,459135,467017,474795,482843,490885,499147,507512,516046,524483,533127,542072,551262,560391,569576,579076,588338,597999,608002,617953,627825,637972,648170,658338,668862,679175,689941,700715,711805,722789,733946,745163,756601,767922,779500,791138,802614,814475,826646,838716,850826,863360,876214,888756,901515,914449,927473,940947,954091,967359,981099,994765,1008514,1022421,1036694
1,1,1,2,2,3,4,4,4,4,5,6,6,7,8,8,8,9,11,11,12,13,13,13,13,13,16,16,16,19,21,24,26,26,31,34,35,38,40,43,46,48,51,56,60,62,68,77,80,85,91,97,105,108,113,116,118,124,129,131,135,136,146,153,166,172,184,188,196,210,217,232,239,249,261,269,279,289,298,318,331,335,347,359,369,382,390,400,411,422,433,438,446,453,469,477,491,504,518,530,546,558,575,596,616,629,646,668,687,705,722,735,757,785,812,833,858,888,912,935,953,974,991,1016,1031,1052,1073,1099,1124,1151,1173,1194,1221,1245,1262,1287,1310,1336,1368,1400,1437,1468,1502,1530,1549,1577,1610,1642,1671,1705,1736,1757,1784,1822,1852,1880,1909,1943,1982,2034,2069,2111,2149,2182,2220,2263,2311,2351,2400,2438,2493,2541,2599,2671,2728,2798,2873,2926,2989,3057,3122,3189,3268,3338,3433,3510,3585,3676,3748,3833,3909,3988,4063,4155,4248,4344,4431,4536,4623,4719,4825,4918,5018,5111,5232,5348,5427,5548,5663,5779,5889,6006,6119,6223,6337,6461,6601,6751,6888,7059,7219,7376,7526,7674,7843,8030,8212,8380,8562,8758,8961,9195,9440,9669,9889,10101,10350,10591,10824,11075,11328,11583,11863,12167,12445,12735,13019,13300,13623,13959,14268,14604,14933,15292,15628,15972,16319,16685,17087,17480,17837,18226,18593,18992,19408,19801,20181,20601,21015,21407,21837,22273,22731,23247,23768,24309,24919,25520,26156,26766,27399,28045,28701,29358,30022,30816,31560,32370,33237,34089,34981,35911,36838,37773,38762,39760,40768,41810,42862,43916,44979,46128,47293,48513,49749,51031,52324,53653,55025,56442,57946,59404,60966,62529,64027,65558,67116,68724,70278,71884,73603,75243,76876,78613,80303,81989,83667,85388,87099,88857,90576,92263,94068,95878,97736,99619,101502,103328,105250,107122,108988,110976,112974,114947,117028,119104,121178,123237,125409,127555,129742,131928,134191,136477,138740,141005,143333,145720,148122,150565,153041,155607,158156,160721,163296,165921,168559,171215,173987,176729,179479,182256,185172,188127,191130,194164,197338,200570,203871,207094,210339,213711,217216,220641,224207,227819,231549,235277,239037,242873,246816,250835,254893,258878,262978,267214,271553,275928,280395,284973,289603,294283,299112,304119,309187,314378,319676,325074,330573,336180,341762,347463,353223,359079,364815,370745,376848,382943,389201,395696,402118,408747,415329,422090,428874,435906,442987,450118,457449,464826,472461,480142,487866,495597,503305,511267,519394,527664,535902,544245,552738,561265,569967,578884,587619,596494,605509,614569,623713,632926,642424,652108,661876,671892,681963,692189,702643,713008,723715,734526,745491,756733,768247,779916,791575,803464,815562,827924,840223,852776,865400,878292,891377,904841,918415,932106,946135,960025,974085,988567,1003205,1017950,1032610,1047511,1062410,1077698,1093043,1108364,1123863,1139593,1155610,1171772,1188166,1204633,1221349,1238200,1255293
1,1,1,2,3,3,4,7,8,10,10,12,12,13,15,17,20,22,22,24,28,33,37,39,42,42,44,45,45,45,48,49,50,53,57,60,64,68,70,76,78,82,90,95,100,105,112,119,125,129,134,142,151,162,171,183,197,211,225,242,264,282,292,309,327,347,371,400,420,447,486,507,538,564,593,621,642,660,679,696,714,739,768,801,822,849,871,892,912,934,951,977,990,1019,1036,1052,1065,1075,1090,1107,1120,1131,1146,1158,1167,1181,1188,1194,1203,1216,1224,1232,1242,1256,1271,1277,1287,1293,1304,1312,1324,1339,1354,1367,1381,1397,1418,1445,1474,1495,1514,1539,1565,1593,1622,1654,1677,1696,1728,1768,1806,1842,1875,1917,1964,2022,2055,2098,2147,2198,2255,2314,2375,2433,2491,2534,2589,2650,2708,2768,2830,2878,2938,3002,3083,3167,3229,3291,3367,3437,3522,3603,3682,3783,3871,3939,4022,4125,4210,4293,4398,4505,4617,4735,4848,4972,5068,5183,5324,5472,5613,5755,5901,6045,6184,6314,6452,6599,6777,6930,7072,7246,7389,7532,7692,7845,7992,8136,8296,8439,8591,8739,8912,9079,9254,9445,9633,9829,9988,10200,10379,10553,10749,10950,11136,11368,11573,11804,12016,12255,12474,12691,12944,13178,13446,13697,13957,14254,14561,14859,15154,15460,15752,16095,16438,16780,17151,17572,17990,18468,18916,19413,19948,20499,20993,21507,22088,22665,23188,23714,24330,24955,25580,26229,26847,27495,28196,28957,29697,30478,31286,32087,32927,33760,34660,35577,36484,37401,38345,39235,40202,41140,42061,42962,43911,44875,45885,46854,47828,48869,49896,50949,52107,53152,54182,55381,56497,57702,58954,60108,61363,62657,64060,65428,66828,68254,69623,71093,72499,73954,75438,76962,78529,80120,81694,83259,84842,86533,88066,89710,91370,93092,94865,96610,98419,100167,101995,103825,105600,107359,109205,111119,113007,114992,116971,119021,121118,123124,125278,127383,129606,131801,134004,136252,138565,141001,143542,145990,148452,151122,153871,156658,159427,162269,165082,168030,170898,173861,176887,179893,183000,186105,189203,192445,195755,199096,202478,205896,209304,212776,216454,220064,223642,227355,231062,234882,238746,242656,246644,250653,254815,259028,263264,267519,271771,276105,280621,285193,289727,294473,299175,303859,308703,313677,318728,323759,328949,334232,339609,345016,350641,356290,361983,367720,373501,379333,385450,391525,397651,404090,410625,417310,424123,431013,438138,445238,452451,459876,467535,475270,483055,491090,499121,507292,515696,524145,532719,541469,550515,559495,568668,577961,587553,597112,606937,617108,627074,637512,648212,658807,669625,680499,691765,702886,714125,725708,737332,748959,760967,773178,785560,798022,810771,823659,836487,849720,863240,876706,890283,903873,917864,931875,946034,960359,974640,989229,1004063,1019184,1034358,1049312,1064460,1080134,1095794,1111656,1127771,1143969,1160397,1176851,1193609,1210390,1227273,1244336,1261448,1278766,1296460,1314393,1332275,1350332,1368487,1386725,1405327,1423972,1442880,1461885,1481008,1500307,1519724
1,1,1,1,1,3,6,7,9,10,11,12,16,22,23,24,32,33,35,39,42,47,48,50,55,56,58,62,69,75,79,84,91,95,99,102,104,112,113,115,121,125,127,128,131,135,137,139,143,145,148,149,151,156,158,162,165,170,173,179,182,183,187,192,196,201,204,211,217,219,224,231,240,241,247,249,256,262,267,269,275,281,283,290,292,296,299,301,305,320,338,357,377,403,425,460,501,575,651,741,833,933,1064,1170,1283,1393,1500,1610,1709,1806,1921,2010,2094,2173,2255,2365,2448,2539,2634,2738,2866,2990,3129,3283,3465,3667,3834,4049,4292,4534,4795,5064,5326,5608,5874,6170,6466,6721,6978,7250,7506,7732,8002,8275,8512,8783,9000,9223,9482,9737,9964,10200,10442,10690,10932,11202,11459,11682,11930,12164,12391,12625,12886,13129,13369,13613,13878,14122,14372,14621,14855,15097,15335,15610,15846,16102,16369,16621,16879,17126,17391,17687,17980,18276,18589,18920,19245,19591,19920,20282,20669,21024,21351,21742,22132,22519,22936,23371,23789,24227,24658,25053,25461,25905,26361,26837,27316,27814,28298,28804,29272,29761,30292,30790,31367,31893,32464,33007,33531,34114,34702,35339,35945,36595,37187,37843,38506,39129,39824,40535,41202,41905,42606,43349,44061,44812,45587,46371,47199,48039,48871,49722,50581,51503,52447,53430,54462,55442,56491,57512,58548,59641,60725,61893,63021,64170,65420,66649,67873,69202,70499,71814,73096,74403,75755,77152,78548,79956,81470,82957,84527,86147,87764,89387,91092,92875,94687,96501,98359,100304,102188,104227,106249,108379,110449,112622,114863,117043,119327,121654,123934,126276,128782,131265,133793,136382,138930,141602,144235,147026,149832,152641,155684,158629,161673,164747,167888,171039,174351,177695,181072,184510,188075,191744,195444,199233,203114,207173,211229,215346,219636,223953,228296,232766,237438,242190,247069,251924,257004,262215,267611,273095,278772,284647,290776,296856,303154,309539,316128,322781,329633,336849,344083,351466,358871,366378,373985,381871,389553,397528,405691,413931,422226,430712,439207,448062,456906,465756,474774,484001,493468,503194,512888,522843,532800,542875,553163,563578,574366,585207,596115,607224,618793,630290,642161,654042,666175,678411,690992,703682,716957,730318,743939,757861,771775,785648,799814,814059,828271,842840,857626,872544,887607,902879,918031,933298,948979,964665,980451,996350,1012634,1029009,1045384,1062158,1078802,1095688,1112535,1129623,1146746,1164184,1181796,1199468,1217520,1235760,1253719,1272110,1290472,1308976,1327873,1346894,1365946,1385209,1404676,1424296,1443788,1463572,1483792,1504184,1524437,1545007,1565456,1586179,1607136,1628090,1649357,1670722,1692227,1713907,1735586,1757315,1778963,1800845,1822576,1844681,1866855,1889249,1911930,1934611,1957457,1980476,2003374,2026718,2049972,2073559,2097011,2120825,2144914,2168704,2192885,2217259,2241477,2265990,2290451,2315235,2340298,2365208,2390171,2415273,2440670,2465976,2491410,2516853,2542468,2568260,2594184,2620037,2645818,2671796,2697608,2723506,2749756,2775782,2802053,2828050,2854224,2880716,2907227,2933752,2960752,2987549,3014110,3041121,3067855,3095192,3122244,3149402,3176875
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1,1,1,3,4,4,6,6,8,10,12,13,13,17,19,22,23,26,29,34,43,44,48,50,55,59,63,69,73,81,86,91,97,107,115,119,127,132,139,144,153,158,162,165,168,173,177,179,185,187,194,199,203,204,207,211,212,215,217,219,224,230,235,238,240,244,245,247,248,250,256,260,261,266,273,275,282,284,290,295,298,306,311,316,324,336,351,355,357,366,370,379,384,393,400,410,417,424,435,445,450,458,463,472,484,489,503,517,527,541,554,567,582,601,618,636,647,658,676,690,708,729,742,758,775,793,807,815,827,837,848,862,868,877,887,900,911,924,932,939,948,955,966,974,983,994,1003,1011,1018,1028,1039,1050,1056,1067,1076,1086,1095,1109,1122,1128,1140,1160,1178,1189,1200,1216,1229,1245,1253,1261,1272,1282,1291,1301,1311,1320,1333,1342,1349,1356,1366,1371,1376,1381,1386,1387,1391,1396,1398,1404,1409,1413,1415,1421,1425,1427,1433,1439,1441,1442,1449,1452,1454,1458,1466,1469,1475,1479,1486,1490,1496,1501,1510,1515,1517,1523,1529,1538,1544,1552,1560,1564,1567,1573,1579,1588,1593,1598,1603,1610,1615,1622,1631,1632,1638,1645,1652,1659,1666,1670,1677,1686,1692,1697,1705,1710,1716,1720,1723,1729,1736,1744,1747,1751,1754,1760,1766,1772,1778,1787,1792,1808,1820,1825,1830,1836,1844,1851,1854,1858,1860,1860,1869,1874,1886,1893,1898,1903,1910,1914,1919,1929,1935,1940,1946,1948,1952,1958,1966,1972,1978,1984,1989,1992,1998,2003,2009,2011,2015,2024,2032,2042,2047,2056,2066,2074,2086,2091,2104,2117,2130,2137,2149,2156,2167,2177,2187,2195,2204,2212,2221,2231,2243,2255,2267,2283,2295,2307,2314,2324,2334,2348,2356,2361,2365,2379,2382,2392,2398,2404,2415,2421,2433,2443,2451,2462,2469,2481,2487,2495,2506,2512,2518,2526,2535,2547,2556,2563,2569,2579,2584,2595,2606,2618,2626,2640,2649,2662,2674,2690,2704,2714,2727,2736,2745,2761,2770,2783,2792,2806,2815,2835,2848,2870,2881,2895,2909,2933,2946,2973,2989,3011,3037,3069,3097,3128,3153,3185,3227,3261,3293,3330,3382,3429,3469,3512,3577,3633,3690,3756,3817,3892,3952,4019,4086,4154,4218,4295,4376,4465,4567,4652,4757,4831,4908,4983,5073,5171,5254,5356,5454,5565,5674,5790,5915,6045,6159,6296,6419,6564,6711,6865,7011,7161,7290,7442,7581,7754,7924,8117,8288,8456,8620,8788,8968,9140,9344,9526,9693,9889,10100,10284,10463,10677,10903,11107,11319,11537,11764,12005,12226,12436,12664,12921,13185,13473,13732,14041,14320,14581,14872,15164,15433,15749,16041,16355,16651,16949,17263,17592,17915,18242,18568,18869,19223,19591,19945
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1,1,2,4,5,5,5,5,5,6,7,8,8,8,11,12,12,13,14,14,15,16,17,19,20,20,20,20,21,24,24,24,26,29,29,32,32,33,33,35,37,38,40,41,43,45,47,48,48,49,50,53,56,58,61,63,67,71,79,85,91,100,109,114,121,130,142,146,154,166,180,187,197,210,225,241,254,276,290,302,316,329,343,360,386,410,429,454,482,505,533,562,596,629,665,703,733,768,808,851,893,932,969,1015,1063,1114,1168,1230,1294,1347,1409,1473,1525,1590,1657,1734,1833,1918,1997,2087,2167,2260,2359,2460,2567,2667,2783,2906,3015,3151,3249,3370,3477,3611,3728,3831,3937,4076,4226,4376,4492,4666,4808,4939,5085,5237,5388,5570,5758,5953,6140,6330,6542,6755,6976,7187,7421,7669,7896,8159,8415,8670,8915,9171,9460,9728,9989,10274,10570,10843,11114,11385,11664,11985,12283,12588,12897,13238,13544,13870,14204,14533,14904,15281,15634,16007,16371,16772,17157,17604,18038,18506,19023,19547,20067,20592,21156,21730,22311,22934,23535,24121,24752,25319,25932,26570,27179,27862,28493,29124,29751,30442,31105,31796,32455,33163,33930,34673,35454,36253,37015,37825,38600,39395,40261,41130,41987,42842,43675,44522,45399,46275,47219,48158,49045,50001,50912,51888,52822,53769,54735,55679,56703,57700,58762,59810,60846,61958,63050,64088,65259,66431,67656,68841,70034,71303,72637,73891,75213,76584,78007,79500,81011,82451,83955,85459,87036,88585,90202,91703,93292,94938,96579,98187,99854,101459,103217,104894,106614,108279,110044,111880,113643,115513,117438,119438,121521,123690,125842,127986,130264,132511,134826,137260,139677,142070,144516,147058,149474,151985,154637,157150,159723,162397,165074,167662,170387,173060,175906,178778,181548,184367,187318,190315,193290,196281,199245,202269,205427,208479,211613,214848,218109,221247,224609,228009,231533,235063,238634,242286,245987,249737,253667,257650,261713,265770,269990,274320,278667,283138,287715,292225,296777,301616,306302,310988,315838,321011,326152,331354,336645,341888,347277,352581,358008,363435,369032,374719,380663,386582,392583,398773,404934,411242,417635,424135,430664,437357,444121,450899,457891,465037,472314,479741,487159,494861,502669,510641,518837,527012,535312,543806,552484,561334,570379,579511,588841,598302,607992,617840,627664,637669,647932,658280,668781,679376,690139,701112,712296,723618,735214,746715,758433,770388,782648,795124,807884,820480,833491,846601,860142,873580,887377,901431,915809,930481,945072,959948,975295,990472,1005889,1021230,1036505,1052359,1068180,1084145,1100392,1116746,1133265,1149989,1166750,1183908,1201126,1218317,1235577,1253177,1270892,1288508,1306335,1324308,1342375,1360847,1379488,1398154,1417082,1436292,1455537,1475001,1494653,1514632,1534578,1554542,1574862,1595165,1615777,1636304,1656845,1677441,1698256,1719105,1740086,1761285,1782661,1803943,1825801,1847350,1868933,1890848,1912634,1934745,1956875,1978853,2000824,2023200,2045794,2068467,2091119,2114335,2137630,2160795,2184264,2207794,2231164,2254762,2278533,2302281,2326395,2350497,2374484,2398666,2422821,2447202,2471669,2496690,2521506,2546312,2571208
1,1,1,3,4,5,6,7,8,10,12,12,12,13,15,18,20,23,25,27,28,30,33,34,35,40,41,42,46,49,50,53,57,59,64,66,75,80,84,86,93,98,103,113,120,127,131,135,139,148,154,161,166,175,180,183,190,196,198,208,215,226,234,241,250,259,267,280,294,304,311,324,339,354,364,375,393,402,415,431,447,471,481,496,510,517,534,551,570,589,595,604,620,639,661,681,694,710,729,746,766,778,802,820,846,862,873,890,911,927,949,963,983,1005,1024,1040,1058,1080,1098,1122,1138,1173,1190,1211,1229,1259,1289,1317,1347,1365,1395,1428,1456,1498,1529,1571,1604,1643,1695,1733,1768,1812,1855,1901,1950,1990,2030,2082,2130,2169,2213,2256,2292,2333,2369,2412,2458,2503,2544,2580,2630,2676,2711,2752,2781,2824,2864,2907,2945,2993,3029,3071,3115,3159,3211,3249,3281,3315,3363,3395,3436,3476,3508,3545,3589,3613,3642,3670,3699,3728,3760,3796,3820,3855,3877,3906,3932,3965,3995,4025,4058,4077,4110,4140,4178,4203,4228,4254,4277,4308,4339,4370,4400,4436,4483,4530,4568,4607,4641,4684,4722,4770,4809,4855,4898,4935,4989,5041,5094,5152,5199,5266,5324,5379,5425,5511,5610,5706,5812,5922,6060,6204,6344,6488,6629,6765,6907,7061,7206,7331,7469,7607,7742,7883,8041,8212,8381,8557,8727,8906,9099,9293,9474,9677,9857,10056,10259,10462,10661,10841,11009,11184,11368,11545,11734,11926,12092,12277,12474,12689,12915,13111,13303,13534,13774,14040,14268,14516,14749,15036,15300,15577,15868,16133,16387,16672,16962,17250,17564,17850,18161,18469,18770,19057,19388,19728,20099,20453,20818,21189,21544,21889,22281,22710,23118,23519,23906,24335,24815,25226,25690,26141,26617,27078,27526,27996,28478,28928,29376,29878,30338,30877,31388,31868,32344,32871,33414,33905,34391,34909,35415,35928,36478,37023,37596,38210,38818,39404,40016,40604,41280,41893,42508,43106,43791,44512,45196,45859,46544,47211,47905,48610,49319,50066,50844,51605,52353,53140,53935,54763,55591,56451,57326,58144,59045,60020,60979,61970,63000,63997,65031,66190,67381,68608,69877,71132,72478,73790,75190,76633,78064,79468,80931,82431,83909,85470,87042,88655,90248,91808,93442,95141,96787,98457,100203,102014,103764,105590,107412,109380,111387,113436,115504,117494,119526,121632,123727,125816,128076,130375,132664,135091,137529,139969,142561,145269,147982,150772,153448,156283,159113,162083,165079,168077,171237,174369,177595,180777,183959,187393,190797,194200,197607,201105,204599,208201,211996,215601,219411,223202,227149,231069,234998,239060,243121,247426,251723,256016,260623,265273,269920,274696,279612,284494,289621,294614,299737,305063,310425,315865,321417,327008,332646,338374,344288,350140,356147,362270,368638,374919,381458,388094,394745,401602,408449,415526,422794,430038,437396,444779,452147,459631,467492,475198,482962,490824,498933
1,1,3,3,4,4,4,4,6,9,9,11,11,11,11,11,11,11,12,13,14,14,14,14,16,17,17,17,17,17,17,17,19,23,24,25,28,29,31,32,34,36,38,42,45,48,49,51,52,56,59,63,68,69,72,74,77,78,82,87,89,92,96,101,108,113,121,128,134,140,144,154,168,179,187,206,217,238,253,268,286,308,326,354,376,395,413,431,444,469,487,503,520,536,558,577,596,612,629,649,668,678,695,708,721,733,743,751,757,767,781,795,801,815,817,830,838,844,849,855,869,876,880,886,894,898,904,906,914,925,932,941,952,959,972,984,995,1005,1015,1021,1024,1032,1045,1056,1067,1079,1088,1090,1091,1098,1107,1119,1131,1136,1142,1153,1163,1174,1181,1191,1199,1214,1226,1234,1249,1260,1271,1283,1290,1299,1310,1320,1332,1346,1354,1367,1386,1407,1419,1438,1453,1466,1480,1500,1512,1533,1551,1577,1587,1601,1612,1625,1647,1659,1671,1689,1712,1722,1734,1749,1768,1784,1806,1822,1837,1851,1866,1886,1907,1932,1957,1981,2008,2028,2049,2071,2097,2121,2138,2155,2173,2195,2218,2239,2255,2274,2289,2307,2325,2347,2360,2385,2400,2408,2418,2431,2442,2453,2465,2481,2494,2509,2514,2525,2539,2558,2571,2581,2593,2602,2618,2630,2644,2658,2676,2696,2710,2726,2737,2746,2757,2770,2790,2813,2831,2845,2858,2871,2882,2899,2914,2933,2948,2966,2984,2998,3011,3025,3046,3073,3091,3112,3131,3155,3173,3185,3201,3216,3242,3261,3295,3313,3346,3368,3391,3426,3454,3482,3508,3521,3541,3559,3579,3599,3623,3639,3666,3694,3709,3728,3745,3768,3786,3799,3813,3833,3856,3872,3887,3909,3924,3943,3966,3980,4000,4010,4029,4040,4053,4068,4082,4105,4123,4130,4155,4171,4198,4213,4229,4248,4268,4287,4306,4331,4363,4397,4422,4446,4474,4521,4566,4591,4631,4677,4711,4744,4784,4815,4843,4895,4939,4964,5023,5072,5117,5160,5209,5256,5306,5361,5418,5465,5523,5603,5662,5725,5792,5856,5931,6011,6120,6216,6310,6404,6517,6631,6750,6867,6997,7129,7274,7414,7562,7712,7880,8037,8205,8397,8572,8716,8883,9103,9326,9582,9817,10086,10367,10626,10920,11205,11515,11807,12087,12397,12690,13038,13434,13765,14107,14432,14773,15105,15493,15858,16205,16599,17024,17417,17860,18281,18720,19146,19600,20053,20523,20998,21527,22076,22601,23142,23695,24322,24939,25518,26167,26802,27481,28108,28783,29494,30199,30942,31663,32412,33197,33967,34742,35503,36328,37104,37888,38628,39419,40223,41036,41833,42622,43400,44209,45017,45838,46700,47568,48478,49413,50324,51271,52255,53238,54224,55181,56233,57250,58284,59392,60455,61543,62698,63810,64924,66107,67298,68486,69673,70955,72218,73519
1,1,1,1,1,1,2,2,2,2,3,4,6,9,9,9,10,12,14,18,20,23,26,30,35,42,45,48,54,61,62,66,71,76,80,84,91,93,99,104,109,115,116,119,123,129,131,134,137,140,147,150,152,156,162,167,172,177,180,182,183,186,188,196,203,204,210,216,218,226,231,237,239,243,253,254,266,277,283,291,297,307,319,322,329,339,347,359,366,384,398,406,424,440,456,466,474,485,501,515,525,540,552,568,586,601,613,630,640,653,670,679,693,712,724,741,754,768,791,813,831,846,859,873,889,905,923,948,960,974,993,1014,1048,1076,1092,1113,1137,1161,1180,1194,1208,1229,1252,1268,1284,1304,1326,1345,1361,1373,1397,1410,1440,1464,1488,1512,1525,1544,1563,1591,1617,1637,1653,1672,1700,1725,1750,1771,1801,1832,1859,1890,1919,1945,1970,2001,2037,2067,2115,2148,2194,2228,2256,2284,2314,2351,2382,2419,2449,2490,2519,2561,2597,2635,2675,2705,2743,2788,2836,2869,2914,2958,3002,3033,3072,3119,3165,3209,3251,3313,3352,3401,3453,3505,3547,3604,3651,3704,3766,3827,3893,3943,4011,4080,4149,4215,4281,4369,4453,4524,4608,4697,4805,4900,4998,5089,5185,5292,5402,5499,5597,5705,5814,5930,6052,6177,6282,6427,6562,6710,6841,6994,7132,7248,7400,7530,7668,7813,7968,8127,8286,8437,8594,8741,8876,9014,9139,9271,9383,9523,9654,9796,9943,10114,10254,10402,10556,10725,10859,11029,11218,11390,11547,11717,11899,12106,12269,12445,12634,12827,13014,13212,13405,13596,13805,14013,14215,14465,14652,14851,15085,15314,15524,15765,16004,16253,16509,16716,16958,17202,17461,17699,17936,18178,18456,18745,19040,19323,19622,19944,20293,20620,21019,21403,21807,22216,22649,23037,23444,23851,24279,24703,25123,25573,26033,26505,26959,27469,27947,28428,28945,29466,29978,30513,31062,31618,32219,32786,33427,34079,34789,35450,36193,36903,37668,38433,39276,40149,41011,41924,42797,43682,44625,45507,46474,47491,48474,49476,50511,51575,52650,53706,54764,55888,56986,58142,59291,60546,61771,63023,64238,65409,66716,68013,69286,70621,71911,73253,74636,76001,77420,78882,80393,81890,83422,84908,86473,88097,89707,91310,92863,94424,96058,97732,99431,101155,102942,104779,106735,108680,110553,112609,114592,116602,118663,120730,122850,125070,127318,129575,131968,134363,136845,139299,141796,144320,146910,149572,152264,155026,157757,160645,163434,166460,169385,172357,175296,178510,181711,185045,188346,191746,195185,198683,202230,205897,209692,213382,217260,221312,225210,229356,233578,238047,242528,247131,251668,256397,261179,265897,270860,275727,280748,285762,290964,296128,301484,306706,312297,317763,323189,328664,334175,339759,345402,351272,357150,363131,369206,375517,381835,388268,394649,401311,408091,414891,421866,428958,436198,443519,450817,458218,465868,473519,481400,489332,497444
1,1,1,1,2,3,3,5,5,5,6,8,12,14,17,20,22,23,31,32,35,37,43,46,47,51,52,55,59,62,65,74,79,83,85,89,91,94,100,106,114,116,123,130,132,139,147,153,164,170,175,180,185,191,204,207,215,224,231,243,256,263,272,283,295,300,309,319,332,349,362,377,393,409,424,434,444,454,463,474,486,502,515,532,550,565,591,612,633,646,669,688,712,739,774,808,854,895,936,972,1013,1070,1107,1148,1198,1234,1272,1326,1377,1440,1494,1549,1597,1649,1702,1746,1792,1841,1900,1950,1988,2048,2102,2165,2242,2300,2364,2428,2494,2566,2631,2696,2758,2828,2894,2946,3014,3078,3136,3201,3269,3347,3424,3498,3599,3672,3753,3846,3938,4041,4145,4254,4351,4451,4563,4675,4773,4881,5027,5138,5273,5405,5518,5646,5797,5910,6067,6218,6354,6492,6656,6803,6949,7119,7282,7455,7646,7813,7992,8178,8386,8588,8776,8992,9217,9422,9633,9874,10091,10342,10572,10789,11082,11353,11634,11895,12151,12418,12710,13013,13328,13616,13939,14254,14575,14911,15242,15598,15966,16326,16687,17018,17382,17740,18118,18532,18923,19326,19708,20082,20487,20883,21276,21667,22079,22533,22999,23454,23937,24424,24908,25433,25881,26376,26875,27383,27939,28460,28995,29523,30114,30717,31292,31876,32465,33104,33712,34352,34997,35746,36479,37209,37917,38748,39506,40315,41219,42001,42866,43768,44681,45601,46561,47520,48456,49479,50469,51503,52613,53726,54917,56132,57392,58700,60082,61474,62952,64425,65976,67587,69231,70941,72595,74297,76012,77737,79569,81285,83047,84800,86671,88558,90454,92335,94255,96235,98395,100471,102563,104661,106766,108957,111259,113554,115890,118225,120661,123194,125758,128314,131079,133816,136389,139046,141909,144792,147715,150620,153657,156666,159750,162952,166038,169213,172506,175863,179227,182669,186179,189758,193337,196955,200631,204267,208011,211902,215641,219559,223349,227395,231464,235659,239809,244069,248349,252769,257179,261728,266320,270995,275710,280411,285162,290059,294865,299833,304879,309891,314994,320315,325620,331054,336586,342200,347803,353477,359300,365165,371163,377246,383380,389600,395947,402456,409061,415702,422661,429589,436669,443965,451185,458741,466362,474170,482033,489916,498028,506321,514793,523380,532003,540794,549613,558540,567545,576744,585873,595211,604824,614567,624741,634838,645111,655155,665667,676061,686675,697267,708105,718996,729936,741073,752250,763604,775072,786715,798651,810732,822746,834847,847343,859870,872436,885290,898315,911606,925038,938393,952076,965959,979933,994295,1008479,1023042,1037753,1052589,1067677,1083106,1098539,1114014,1129679,1145732,1161897,1178266,1194423,1210960,1227496,1244249,1261274,1278549,1295913,1313406,1331025,1348780,1366572,1384553,1402606,1421160,1439735,1458398,1477390,1496361,1515469,1534965,1554760,1574599,1594358,1614269,1634315,1654692,1675536,1696110,1716870,1737877,1759285,1780649,1802457,1824125,1845905,1867782,1889532,1911338,1933835,1956021,1978424,2000951,2023547,2046025,2068891,2091736,2114663,2137751,2160813,2184095,2207538,2231228,2254895
1,1,1,1,1,1,1,1,1,2,5,5,7,7,8,10,13,15,19,20,24,25,26,32,36,36,38,39,42,47,55,57,58,60,63,65,67,68,71,74,80,86,90,94,98,100,103,110,113,114,120,124,126,127,130,133,135,144,149,154,158,163,163,166,169,172,173,174,177,180,184,186,189,192,192,193,194,195,196,197,197,199,200,201,201,201,204,208,213,218,219,226,229,233,239,244,250,253,254,262,265,269,276,284,296,304,310,317,330,343,351,360,368,376,384,392,398,409,417,427,437,450,454,463,472,479,488,496,502,513,520,526,530,549,555,562,571,588,596,604,619,633,643,650,662,678,694,707,718,734,754,773,791,806,822,834,841,852,867,887,902,924,939,957,977,1002,1028,1050,1076,1100,1133,1172,1204,1240,1267,1298,1334,1377,1416,1453,1490,1524,1568,1604,1646,1679,1718,1751,1788,1814,1845,1876,1907,1943,1971,1991,2037,2083,2124,2162,2190,2247,2311,2373,2436,2515,2587,2686,2770,2876,2984,3091,3190,3303,3407,3502,3613,3716,3829,3960,4068,4171,4291,4407,4509,4630,4742,4887,5059,5233,5433,5607,5769,5978,6182,6410,6638,6845,7060,7290,7510,7715,7938,8148,8334,8533,8751,8935,9140,9363,9587,9779,9962,10182,10397,10570,10776,10975,11174,11371,11586,11773,11964,12184,12392,12613,12821,13041,13266,13487,13715,13932,14169,14381,14622,14870,15147,15411,15667,15919,16175,16474,16757,17046,17337,17644,17947,18259,18565,18862,19158,19426,19733,20059,20350,20701,21013,21373,21721,22096,22443,22821,23191,23562,23963,24372,24770,25178,25590,26005,26421,26877,27327,27812,28312,28779,29317,29843,30360,30850,31356,31931,32511,33114,33668,34282,34911,35599,36312,36995,37724,38463,39198,39951,40753,41561,42365,43247,44107,44950,45860,46737,47697,48668,49625,50607,51602,52642,53684,54761,55813,56907,58072,59245,60427,61639,62832,64148,65392,66678,68061,69447,70901,72244,73693,75087,76564,78074,79566,81176,82780,84373,85984,87638,89305,91090,92906,94800,96558,98507,100471,102500,104538,106711,108923,111189,113450,115782,118212,120618,122978,125468,128003,130609,133225,135890,138607,141228,143998,146973,149650,152532,155319,158262,161318,164363,167450,170583,173814,177128,180379,183753,187320,190854,194378,198109,201851,205732,209689,213695,217863,222144,226499,230849,235159,239582,244247,248875,253627,258411,263235,268186,273232,278175,283206,288340,293573,298885,304196,309447,314858,320364,326050,331801,337532,343434,349409,355583,361885,368223,374754,381438,388104,394865,401574,408549,415488,422537,429565,436950,444330,451683,459040,466813,474421,482213,489886,497675,505621,513734,521960,530227,538548,547126,555847,564751,573956,583053,592470,602011,611371,620967,630677,640684,650764,660987,671317,681910,692471,703268,714340,725299,736530,747784,759164,770736,782835
1,1,1,1,1,1,4,5,7,7,9,11,13,14,18,19,25,31,38,45,50,53,59,63,75,79,86,93,101,108,112,120,124,127,131,137,140,143,147,152,157,162,168,173,175,182,188,192,198,205,208,213,215,217,218,224,230,235,242,249,254,269,278,287,300,313,326,334,342,354,368,381,392,405,410,423,436,450,464,477,490,501,513,525,537,559,574,585,594,619,629,647,661,672,682,697,713,728,743,758,777,791,812,825,841,857,876,896,910,927,944,965,978,996,1016,1034,1051,1074,1092,1113,1130,1157,1178,1197,1215,1239,1266,1291,1312,1340,1375,1414,1450,1493,1532,1575,1608,1636,1669,1707,1739,1773,1811,1845,1884,1931,1977,2019,2058,2110,2158,2200,2244,2275,2305,2349,2390,2431,2475,2509,2552,2589,2622,2662,2702,2734,2779,2818,2852,2895,2929,2967,2991,3034,3073,3113,3159,3204,3256,3309,3359,3399,3455,3511,3564,3619,3673,3717,3785,3842,3906,3973,4039,4102,4167,4214,4268,4321,4382,4438,4488,4539,4588,4650,4694,4753,4810,4857,4925,4991,5039,5098,5162,5227,5286,5352,5410,5475,5550,5637,5722,5818,5925,6019,6121,6230,6339,6439,6579,6694,6805,6940,7076,7201,7335,7458,7585,7683,7792,7934,8050,8165,8280,8414,8560,8729,8869,9031,9199,9389,9590,9767,9990,10208,10430,10657,10900,11164,11431,11701,11991,12280,12549,12818,13097,13401,13711,14007,14317,14643,14981,15349,15728,16079,16455,16832,17278,17716,18112,18533,18959,19383,19800,20183,20597,21052,21517,21939,22453,22946,23461,23992,24511,25055,25604,26172,26748,27280,27792,28336,28934,29524,30079,30728,31354,31999,32622,33291,33988,34733,35517,36315,37157,38024,38869,39705,40602,41464,42367,43288,44101,45020,45992,46933,47911,48945,49988,51020,52154,53254,54407,55640,56873,58166,59476,60738,62095,63488,64946,66401,67882,69411,70909,72426,73992,75620,77275,78881,80509,82236,83890,85592,87311,89011,90814,92630,94440,96305,98242,99976,101907,103914,105882,107845,109803,111807,113813,115903,117981,120207,122448,124692,126926,129214,131585,133986,136353,138776,141298,143836,146398,148992,151677,154374,157112,159977,162845,165788,168839,171902,175103,178166,181379,184673,187903,191444,194987,198691,202460,206270,210076,213908,217809,221836,225852,229936,234143,238344,242590,246956,251329,255838,260349,265066,269726,274515,279503,284608,289673,294715,299854,305201,310674,316270,321856,327380,333132,338993,344883,350795,356796,363077,369307,375849,382192,388749,395397,402177,409085,416026,423249,430501,437769,445243,452986,460812,468782,476883,485085,493740,502287,511048,519953,528748,537787,547181,556462,565809,575645,585402,595224,605286,615437,625786,636333,646951,657688,668596,679858,691172,702846,714884,726857,738976,751172,763660,776169,788856,801671,814582,827624,840900,854250,867796,881417,895408,909297,923368,937865,952545,967451,982377,997569,1013211,1028980,1044779,1060713
1,1,1,1,1,1,2,2,3,3,6,8,10,10,11,11,13,14,16,17,19,22,27,30,31,36,38,46,46,50,52,57,61,65,69,70,71,76,79,82,89,89,91,92,100,101,103,104,110,113,117,120,122,125,127,127,132,134,138,142,146,152,155,157,162,165,167,169,169,171,177,179,181,185,191,195,195,195,197,200,206,207,211,212,214,214,215,218,222,224,225,226,227,232,234,240,245,245,251,256,260,263,266,271,278,283,291,296,310,315,324,327,330,333,340,343,351,356,361,364,369,374,377,381,387,392,400,403,408,414,417,421,426,436,440,445,459,466,472,478,487,495,510,515,528,541,548,554,565,574,580,588,597,606,616,629,634,645,648,655,661,677,689,700,718,730,744,763,777,784,792,804,816,835,843,850,861,866,879,894,903,915,933,947,965,976,984,999,1018,1026,1036,1050,1064,1074,1088,1100,1114,1125,1140,1152,1162,1178,1190,1204,1220,1240,1256,1273,1285,1299,1325,1339,1351,1359,1380,1390,1411,1437,1454,1478,1497,1525,1546,1573,1587,1615,1638,1667,1695,1719,1740,1772,1798,1827,1854,1876,1909,1932,1959,1988,2008,2040,2066,2100,2127,2166,2197,2230,2255,2284,2312,2336,2366,2389,2416,2443,2468,2498,2525,2552,2572,2595,2622,2650,2675,2710,2752,2782,2808,2848,2879,2922,2956,3000,3034,3078,3117,3156,3202,3257,3307,3365,3418,3470,3526,3580,3635,3699,3762,3815,3873,3913,3964,4015,4072,4121,4181,4240,4303,4369,4447,4511,4567,4633,4713,4786,4844,4914,4971,5042,5107,5168,5221,5294,5372,5444,5537,5630,5722,5822,5919,6021,6107,6200,6289,6378,6488,6604,6708,6818,6937,7055,7186,7306,7445,7590,7710,7859,7966,8082,8227,8359,8497,8645,8774,8918,9045,9184,9313,9455,9606,9758,9895,10057,10188,10339,10485,10648,10787,10928,11086,11255,11399,11562,11716,11863,12034,12206,12379,12543,12729,12908,13079,13263,13421,13590,13755,13940,14126,14304,14523,14774,15039,15302,15542,15816,16118,16465,16804,17144,17499,17828,18163,18499,18817,19161,19518,19886,20234,20604,20960,21312,21716,22108,22505,22872,23300,23712,24148,24576,25030,25500,25987,26442,26905,27353,27820,28315,28793,29263,29746,30239,30717,31171,31641,32119,32596,33060,33508,34021,34506,35043,35557,36057,36538,37105,37648,38183,38675,39225,39785,40337,40897,41494,42110,42725,43344,43971,44618,45265,45977,46656,47359,48093,48842,49627,50404,51208,52038,52805,53641,54474,55265,56090,56855,57736,58574,59465,60334,61195,62087,63025,63936,64922,65891,66904,67899,69015,70137,71316,72463,73630,74816,76054,77327,78678,79978,81319,82767,84234,85725,87247,88831,90428,92036,93670,95305
1,1,1,1,2,3,4,5,7,7,7,8,8,9,12,14,15,21,27,30,36,41,44,47,56,60,67,71,76,80,84,90,98,106,109,112,113,119,124,128,131,133,137,141,146,148,151,155,159,163,171,173,177,182,187,194,200,203,208,217,223,233,242,247,255,260,265,268,275,280,290,292,299,305,314,323,331,334,343,353,358,362,370,378,392,402,411,424,434,444,458,465,474,487,494,501,513,518,532,537,548,560,576,586,598,608,621,631,646,656,671,681,700,721,735,755,771,796,816,837,849,873,893,920,939,977,1002,1032,1058,1099,1140,1176,1197,1222,1255,1290,1320,1350,1385,1419,1446,1489,1525,1554,1585,1621,1661,1707,1745,1790,1824,1884,1936,1987,2046,2112,2164,2223,2280,2339,2401,2451,2510,2579,2630,2679,2728,2784,2835,2881,2926,2975,3021,3072,3115,3160,3209,3254,3303,3339,3385,3434,3471,3504,3555,3603,3642,3675,3708,3745,3782,3820,3863,3897,3937,3977,4008,4060,4098,4132,4170,4206,4248,4271,4303,4326,4357,4389,4423,4458,4494,4524,4559,4606,4643,4681,4724,4769,4799,4841,4886,4918,4947,4980,5013,5044,5096,5131,5170,5210,5253,5284,5320,5352,5389,5432,5481,5537,5590,5627,5676,5728,5769,5817,5874,5914,5960,6022,6087,6135,6196,6255,6317,6387,6447,6500,6563,6633,6709,6777,6843,6898,6967,7039,7104,7180,7248,7323,7404,7450,7516,7576,7652,7713,7787,7858,7919,7979,8042,8109,8153,8220,8285,8342,8394,8462,8521,8595,8675,8736,8802,8862,8934,9015,9097,9179,9267,9358,9442,9561,9684,9790,9901,10002,10126,10248,10376,10540,10655,10780,10911,11026,11152,11258,11376,11515,11668,11790,11909,12025,12163,12303,12445,12589,12726,12863,13021,13172,13311,13478,13642,13833,14026,14216,14438,14668,14881,15076,15287,15506,15775,16035,16278,16532,16801,17077,17345,17620,17923,18243,18551,18821,19166,19445,19761,20074,20408,20763,21065,21397,21737,22055,22374,22716,23040,23373,23724,24054,24405,24751,25070,25435,25781,26134,26526,26875,27232,27608,28004,28396,28784,29133,29502,29898,30282,30681,31101,31536,31987,32395,32828,33251,33709,34177,34683,35175,35691,36256,36811,37390,37924,38485,39021,39603,40208,40781,41421,42071,42732,43389,44075,44763,45486,46183,46923,47680,48385,49164,49963,50745,51534,52341,53212,54046,54856,55709,56583,57401,58215,59059,59920,60768,61665,62589,63490,64471,65420,66383,67381,68388,69442,70546,71597,72770,73911,75102,76246,77391,78609,79913,81176,82460,83701,84959,86316,87687,89005,90360,91816,93257,94706,96121,97548,99070,100656,102272,103852,105511,107233,109025,110850,112654,114516,116310,118152,120046,122049,124047,126016,127973,130092,132198,134304,136469,138686,140959,143220,145503,147865,150157,152572,155131,157644,160229,162817,165480,168152
1,1,1,1,1,1,1,2,5,5,5,8,10,11,11,18,19,20,26,28,30,31,35,38,38,40,45,49,56,58,65,73,77,79,84,88,88,95,99,104,105,110,115,122,126,131,135,140,145,151,155,157,158,162,166,169,177,178,183,187,188,190,195,198,200,203,206,212,217,225,233,235,236,240,245,252,256,263,271,277,284,287,295,298,303,307,313,314,320,326,328,335,340,349,358,365,372,376,383,386,388,395,401,405,409,410,414,419,425,428,431,434,443,450,455,461,464,471,480,487,494,497,503,506,519,528,539,543,558,562,577,589,598,615,628,642,658,675,690,712,731,750,765,777,791,813,831,851,864,879,895,912,924,938,954,972,989,1003,1019,1039,1056,1073,1082,1094,1120,1147,1165,1188,1199,1218,1242,1284,1304,1327,1356,1399,1442,1484,1535,1577,1613,1661,1696,1738,1773,1826,1859,1906,1943,1974,2028,2067,2107,2148,2197,2240,2288,2340,2381,2421,2466,2521,2566,2623,2683,2727,2771,2829,2869,2921,2976,3039,3092,3138,3186,3242,3286,3333,3393,3427,3470,3516,3565,3603,3634,3672,3713,3768,3815,3867,3914,3956,4000,4057,4109,4164,4213,4274,4348,4397,4481,4560,4636,4717,4793,4873,4958,5039,5121,5210,5281,5352,5417,5504,5568,5637,5703,5774,5837,5899,5955,6014,6060,6108,6159,6223,6281,6333,6390,6432,6487,6544,6598,6652,6705,6762,6804,6856,6914,6962,6998,7040,7081,7122,7178,7227,7284,7331,7361,7401,7445,7488,7542,7587,7636,7678,7717,7765,7815,7855,7892,7935,7960,8002,8041,8086,8116,8156,8190,8231,8264,8296,8341,8388,8424,8455,8501,8550,8594,8645,8688,8772,8843,8907,8982,9067,9156,9254,9358,9466,9564,9672,9788,9897,10001,10104,10204,10298,10408,10510,10606,10706,10824,10938,11045,11160,11281,11417,11549,11681,11817,11973,12103,12255,12395,12539,12666,12795,12924,13051,13182,13323,13457,13587,13708,13823,13954,14083,14191,14309,14423,14536,14631,14746,14857,14966,15087,15213,15348,15491,15623,15748,15854,15977,16094,16222,16358,16484,16615,16727,16873,17026,17190,17364,17531,17732,17936,18144,18392,18631,18892,19153,19432,19679,19989,20261,20549,20868,21148,21476,21747,22059,22378,22695,23043,23373,23741,24074,24464,24898,25359,25826,26320,26813,27313,27777,28269,28821,29351,29909,30472,30989,31550,32068,32691,33322,33944,34558,35154,35802,36475,37153,37873,38554,39290,40037,40752,41463,42179,42911,43654,44398,45132,45837,46544,47289,48067,48802,49505,50320,51072,51838,52560,53398,54203,54945,55755,56542,57316,58189,59036,59939,60818,61729,62595,63563,64465,65421,66408,67401,68431,69483,70539,71569,72667,73783,74926,76059,77204,78353,79588,80846,82140,83385,84687,85960,87240
1,1,2,2,2,2,2,5,5,5,5,5,5,5,7,7,8,10,11,14,14,14,16,18,20,23,27,27,27,28,28,30,32,33,34,36,41,44,47,50,52,56,58,63,66,70,70,75,79,81,87,92,100,107,107,108,111,116,121,128,133,138,142,153,164,170,177,181,189,197,205,210,216,230,236,245,251,260,269,274,284,289,298,304,307,315,321,329,340,349,353,360,367,378,384,393,396,402,410,414,423,434,444,454,467,478,484,492,503,510,523,536,548,558,578,598,609,624,642,658,683,700,719,732,749,761,785,801,818,836,859,872,882,891,906,923,942,954,964,976,992,1006,1020,1034,1053,1068,1080,1091,1103,1114,1125,1139,1152,1169,1171,1181,1194,1197,1205,1215,1229,1238,1249,1256,1269,1274,1288,1296,1301,1315,1322,1330,1343,1350,1361,1368,1371,1382,1390,1396,1403,1410,1413,1417,1421,1427,1434,1443,1447,1453,1455,1463,1468,1477,1486,1491,1496,1505,1514,1523,1531,1538,1542,1546,1558,1560,1565,1573,1578,1583,1589,1593,1599,1603,1611,1616,1622,1627,1630,1633,1635,1639,1644,1650,1654,1656,1656,1661,1665,1669,1670,1673,1673,1675,1679,1682,1687,1689,1692,1693,1693,1696,1700,1701,1702,1704,1707,1716,1720,1723,1726,1732,1744,1752,1760,1767,1774,1780,1793,1799,1813,1827,1841,1864,1883,1908,1929,1959,1983,2002,2028,2045,2065,2092,2118,2141,2163,2183,2213,2242,2273,2299,2339,2370,2403,2437,2469,2496,2544,2593,2635,2667,2707,2742,2773,2819,2852,2883,2929,2964,3014,3052,3092,3134,3169,3208,3243,3281,3329,3365,3398,3432,3465,3513,3551,3588,3633,3688,3730,3765,3807,3850,3886,3916,3960,4007,4061,4127,4191,4253,4309,4364,4414,4473,4529,4578,4639,4699,4760,4824,4865,4919,4967,5025,5074,5119,5169,5219,5260,5314,5358,5410,5465,5504,5555,5613,5675,5728,5781,5838,5880,5920,5978,6014,6058,6098,6138,6181,6228,6272,6318,6350,6409,6443,6479,6523,6560,6593,6611,6649,6688,6720,6760,6805,6838,6867,6901,6931,6968,6996,7027,7054,7085,7125,7162,7199,7239,7278,7307,7344,7375,7424,7465,7509,7550,7606,7650,7692,7732,7785,7830,7881,7942,8003,8058,8120,8190,8248,8308,8364,8425,8472,8529,8596,8663,8716,8777,8848,8900,8974,9052,9110,9173,9236,9295,9359,9410,9458,9505,9562,9608,9666,9713,9748,9795,9830,9871,9911,9949,9978,10012,10035,10080,10121,10160,10198,10239,10283,10339,10384,10437,10476,10526,10605,10657,10728,10801,10870,10942,11028,11108,11189,11282,11366,11437,11512,11584,11657,11739,11810,11882,11958,12025,12087,12151,12216,12276,12334,12399,12461,12510,12570,12628,12686,12749,12800,12857
1,1,1,1,2,5,6,7,7,8,9,9,9,12,14,15,18,18,20,25,28,30,30,35,36,37,40,42,45,48,51,58,63,67,68,69,75,80,81,84,89,96,99,103,107,113,120,124,131,141,149,154,162,170,177,181,194,207,221,239,255,275,292,313,332,351,371,396,416,431,452,473,496,523,554,576,600,626,646,672,691,719,737,771,794,816,837,857,877,895,912,931,946,965,980,1000,1016,1030,1043,1056,1081,1099,1119,1134,1159,1171,1185,1193,1209,1224,1244,1264,1280,1299,1325,1343,1360,1378,1392,1410,1432,1452,1470,1495,1515,1543,1563,1583,1615,1648,1675,1709,1732,1767,1799,1830,1868,1904,1938,1979,2007,2045,2078,2108,2145,2178,2213,2239,2286,2330,2369,2419,2463,2504,2548,2584,2633,2685,2729,2769,2819,2876,2945,2994,3061,3113,3171,3217,3266,3319,3376,3434,3484,3537,3588,3642,3706,3757,3810,3866,3934,3988,4060,4125,4198,4272,4344,4396,4452,4509,4580,4646,4720,4783,4844,4909,4977,5043,5108,5169,5236,5283,5342,5415,5464,5515,5577,5629,5683,5749,5823,5881,5958,6034,6094,6165,6232,6300,6364,6430,6526,6615,6699,6771,6847,6923,7023,7105,7205,7308,7422,7539,7664,7792,7949,8101,8256,8394,8567,8747,8945,9130,9308,9481,9676,9864,10069,10271,10499,10707,10943,11164,11395,11614,11862,12091,12355,12602,12884,13145,13397,13675,13978,14253,14541,14889,15213,15516,15877,16232,16594,16953,17313,17687,18095,18513,19000,19442,19910,20409,20916,21407,21925,22473,23004,23531,24039,24568,25129,25670,26259,26804,27327,27883,28482,29074,29715,30370,30996,31661,32320,32982,33674,34435,35125,35847,36532,37225,37955,38701,39508,40292,41088,41893,42779,43569,44415,45382,46329,47253,48243,49259,50265,51319,52351,53435,54502,55644,56744,57892,59030,60216,61430,62658,63839,65048,66278,67481,68730,70007,71299,72599,73930,75234,76554,77949,79262,80725,82115,83618,85030,86475,87959,89428,90937,92413,93959,95496,97054,98602,100237,101791,103444,105086,106786,108500,110196,111973,113844,115653,117482,119456,121442,123486,125571,127632,129755,131913,134210,136496,138837,141177,143636,146092,148626,151121,153553,156162,158841,161492,164314,167224,170128,173128,176200,179470,182824,186219,189717,193328,196838,200556,204206,208080,211962,215846,219783,223812,227817,231918,236152,240522,244700,248890,253178,257446,261864,266281,270880,275380,279878,284462,289116,293770,298476,303418,308290,313459,318646,323779,329078,334295,339598,344837,350365,355964,361663,367298,373070,378835,384760,390503,396720,402947,409236,415666,422175,428763,435536,442308,449278,456160,463300,470715,478189,485642,493301,501047,508836,516790,524929,533150,541587,550059,558863,567875,576922,586055,595500,605040,614710,624380,634136,644455,654705,665167,675642,686427,697180,707919,718907,730109,741311,752788,764515,776728,788943,801355,813604,826134,838720,851512,864504,877722,890982,904658,918343
1,1,1,1,1,1,2,4,8,9,14,15,15,19,23,25,31,32,35,40,43,49,51,54,58,66,76,80,87,93,101,106,117,124,133,138,146,157,170,179,188,192,204,215,230,248,258,266,280,297,305,318,331,344,352,364,381,391,409,428,442,458,470,478,498,521,541,563,587,604,630,653,675,695,721,744,762,782,805,826,857,882,906,933,962,991,1028,1060,1086,1126,1150,1165,1195,1229,1267,1291,1318,1349,1384,1415,1442,1470,1506,1535,1567,1596,1622,1662,1700,1727,1761,1791,1832,1877,1912,1955,1980,2018,2044,2078,2121,2157,2187,2230,2268,2312,2345,2382,2427,2459,2502,2545,2590,2637,2681,2727,2765,2809,2851,2900,2944,3012,3065,3126,3183,3242,3290,3341,3398,3455,3498,3545,3583,3647,3705,3755,3819,3881,3963,4034,4122,4230,4365,4494,4647,4819,4989,5168,5353,5546,5722,5913,6086,6274,6462,6657,6853,7073,7281,7452,7673,7894,8105,8309,8534,8738,8981,9222,9479,9697,9936,10165,10361,10571,10774,11004,11251,11450,11643,11843,12037,12216,12411,12625,12817,13017,13214,13387,13591,13765,13949,14129,14299,14466,14627,14822,14972,15156,15346,15542,15734,15911,16069,16256,16436,16595,16781,16960,17141,17319,17488,17646,17806,17966,18159,18335,18514,18697,18880,19082,19301,19500,19671,19868,20087,20302,20523,20750,20979,21199,21413,21632,21861,22060,22307,22545,22816,23069,23309,23544,23800,24064,24311,24596,24881,25184,25476,25762,26078,26414,26716,27029,27356,27728,28065,28416,28777,29175,29586,29980,30371,30763,31173,31588,31995,32406,32841,33269,33730,34146,34594,35041,35471,35936,36365,36819,37294,37795,38291,38814,39272,39761,40299,40802,41333,41907,42423,42962,43519,44073,44597,45184,45737,46276,46824,47361,47941,48536,49163,49793,50434,51082,51773,52504,53219,53906,54628,55419,56243,57069,57838,58744,59647,60478,61367,62219,63148,64047,64892,65799,66725,67662,68582,69504,70441,71409,72361,73321,74366,75363,76379,77438,78516,79598,80762,81936,83138,84365,85569,86869,88077,89322,90736,92111,93421,94782,96237,97580,99043,100512,102027,103641,105184,106716,108366,110003,111580,113297,115029,116809,118624,120497,122387,124243,126202,128129,130079,132044,134027,136138,138267,140479,142721,144841,147061,149306,151613,154027,156509,159046,161617,164253,166741,169429,172231,174994,177898,180829,183865,186907,190122,193323,196555,199775,203108,206618,210066,213531,217137,220787,224255,227918,231704,235450,239349,243262,247384,251563,255600,259790,264100,268436,272878,277385,282011,286768,291606,296499,301490,306409,311532,316694,321797,327114,332393,337866,343261,348826,354438,360069,365746,371543,377483,383475,389540,395553,401809,407974,414229,420467,426902,433469,440066,446852,453618,460503,467374,474370,481506,488676,495970,503159,510511,517955,525802,533593,541770,549808,557956,566181,574613,583203,591899,600559,609516,618649,628056,637257,646520,656010,665552,675243,685237,695177,705202,715596,726120
1,1,1,1,1,2,3,3,4,4,6,9,10,11,12,19,21,21,23,25,27,29,30,32,37,39,42,45,51,54,61,63,69,78,84,87,94,99,106,111,117,121,128,133,142,153,161,164,170,175,181,189,194,202,208,219,231,236,244,253,257,264,270,280,284,289,293,298,302,305,313,322,328,340,352,367,375,385,397,410,418,426,442,451,463,481,492,502,520,531,553,566,580,596,615,626,645,672,688,704,724,740,760,778,796,809,831,850,861,879,903,916,937,965,987,1010,1030,1048,1069,1086,1110,1130,1150,1176,1207,1231,1251,1270,1287,1305,1327,1347,1368,1387,1405,1425,1441,1467,1500,1533,1562,1581,1608,1617,1631,1653,1677,1699,1723,1749,1769,1793,1811,1836,1870,1894,1918,1945,1968,2006,2035,2060,2089,2118,2138,2171,2194,2224,2261,2293,2322,2350,2378,2406,2430,2460,2489,2513,2546,2575,2603,2636,2666,2700,2721,2744,2777,2806,2839,2863,2886,2911,2938,2962,2988,3009,3028,3044,3075,3103,3124,3160,3187,3211,3237,3257,3281,3311,3345,3376,3400,3422,3460,3492,3533,3568,3590,3626,3668,3707,3749,3793,3831,3881,3926,3973,4012,4052,4097,4146,4202,4258,4321,4378,4434,4488,4562,4635,4695,4773,4854,4931,4997,5084,5170,5250,5333,5422,5530,5594,5684,5768,5875,6001,6095,6221,6338,6473,6620,6756,6909,7066,7215,7349,7521,7706,7896,8084,8265,8449,8658,8863,9077,9274,9502,9759,9990,10251,10494,10793,11075,11372,11696,11992,12301,12585,12899,13264,13603,13961,14344,14732,15157,15591,15990,16430,16851,17319,17837,18352,18856,19362,19879,20409,20909,21411,21925,22471,22984,23529,24075,24611,25134,25688,26254,26842,27386,27982,28565,29183,29814,30480,31040,31714,32393,33066,33772,34508,35327,36099,36912,37751,38612,39446,40355,41245,42127,43050,44058,45032,46033,47001,48019,49069,50135,51196,52286,53353,54488,55628,56757,57889,59035,60208,61418,62674,63984,65287,66642,67935,69397,70877,72467,73998,75591,77194,78817,80564,82304,84126,86053,87912,89762,91686,93584,95617,97680,99692,101684,103706,105725,107845,109938,112124,114263,116552,118785,121119,123557,125922,128212,130607,133052,135475,137927,140427,143036,145674,148221,150948,153708,156590,159476,162370,165301,168374,171555,174758,177967,181402,184822,188219,191829,195374,199094,202885,206687,210717,214601,218742,222887,227079,231297,235824,240484,245190,250010,255090,260109,265406,270605,275954,281478,287139,293048,298911,304947,311020,317232,323558,329929,336315,342874,349468,356180,362868,369541,376637,383735,391118,398336,405745,413241,420900,428568,436550,444514,452581,460900,469294,478063,486989,495882,505150,514494,524165,533872,543745,553547,563546,573839,584259,594868,605537,616164,627112,638173,649420,660546,671926,683543,695251,707148,719215,731361,743763,756135,768944,781618,794459,807421,820607,833973,847269,860708,874275,888062
1,1,1,1,1,1,1,2,2,6,7,9,9,11,13,14,17,19,21,23,25,27,30,32,35,43,47,50,53,56,61,63,64,67,75,81,84,90,95,100,109,116,125,130,135,136,138,149,154,159,166,173,178,183,187,196,202,205,207,211,213,224,233,240,247,252,262,265,269,276,287,290,301,304,311,322,330,340,351,356,363,369,380,389,398,406,418,427,434,446,450,461,473,481,489,491,506,515,523,530,538,545,552,568,576,584,589,596,607,618,626,633,645,658,665,676,684,699,706,715,723,732,742,750,755,764,773,779,788,795,800,811,816,821,834,841,847,859,868,873,878,884,887,894,902,908,915,926,935,939,948,954,958,965,974,979,985,987,993,1000,1005,1008,1011,1016,1020,1023,1027,1028,1031,1037,1039,1041,1045,1047,1049,1050,1056,1057,1059,1062,1072,1078,1079,1082,1088,1094,1094,1099,1103,1106,1111,1116,1120,1126,1128,1132,1133,1138,1145,1151,1156,1159,1163,1169,1177,1184,1193,1200,1206,1211,1222,1227,1234,1238,1247,1256,1266,1272,1276,1283,1290,1296,1300,1306,1313,1320,1324,1331,1338,1347,1357,1358,1364,1373,1378,1383,1386,1388,1391,1396,1397,1399,1402,1410,1412,1412,1413,1418,1424,1425,1430,1434,1437,1438,1440,1446,1446,1453,1455,1465,1470,1475,1482,1486,1490,1495,1498,1502,1509,1511,1512,1522,1527,1531,1534,1536,1544,1550,1560,1570,1578,1582,1593,1606,1613,1622,1627,1639,1651,1659,1670,1681,1692,1703,1713,1726,1740,1752,1770,1780,1795,1813,1838,1854,1876,1894,1923,1945,1969,1999,2026,2062,2092,2127,2171,2216,2257,2301,2345,2390,2431,2473,2513,2555,2609,2648,2688,2733,2789,2838,2892,2944,2999,3052,3102,3165,3222,3278,3344,3411,3469,3524,3577,3618,3673,3733,3787,3834,3894,3955,4002,4060,4128,4162,4219,4265,4319,4389,4455,4508,4569,4629,4693,4760,4835,4912,4987,5062,5142,5213,5302,5385,5480,5568,5660,5745,5849,5930,6027,6135,6255,6365,6488,6612,6714,6832,6954,7067,7178,7293,7405,7539,7664,7770,7892,8009,8159,8268,8383,8489,8623,8749,8853,8962,9064,9188,9308,9423,9527,9640,9738,9877,10020,10136,10266,10390,10511,10642,10765,10914,11064,11190,11331,11460,11588,11748,11891,12041,12172,12310,12454,12586,12720,12846,12997,13128,13237,13363,13492,13617,13753,13887,13988,14112,14232,14367,14504,14641,14774,14903,15054,15218,15356,15489,15613,15745,15891,16039,16159,16301,16433,16572,16709,16857,17004,17135,17286,17431,17573,17701,17839,17983,18129,18297,18461,18629,18801,18981,19153,19339,19506,19680,19845,20006,20177,20359,20537,20697,20876,21079,21290,21488,21656,21847,22043,22234,22450
1,1,1,1,1,3,5,7,7,9,11,13,16,21,25,26,27,29,33,35,38,40,43,47,51,53,55,56,62,67,71,75,80,81,85,89,90,92,96,99,101,102,110,115,121,122,127,132,136,139,145,151,158,163,169,176,182,190,199,211,216,227,235,239,245,249,256,263,269,274,278,282,287,290,295,296,299,301,309,315,320,326,334,341,348,356,361,369,374,380,383,390,396,402,411,424,433,445,458,473,483,505,520,529,543,564,583,607,628,653,680,697,720,738,756,772,800,828,854,870,907,940,980,1003,1035,1096,1146,1200,1256,1319,1372,1436,1498,1556,1621,1680,1738,1809,1889,1977,2065,2154,2242,2324,2422,2489,2564,2659,2750,2835,2946,3044,3173,3260,3351,3455,3547,3655,3755,3843,3921,4026,4144,4274,4395,4509,4662,4800,4937,5093,5258,5407,5581,5766,5927,6104,6318,6538,6736,6950,7171,7393,7598,7823,8035,8278,8508,8748,9011,9263,9534,9799,10067,10340,10591,10837,11106,11356,11622,11882,12167,12476,12795,13085,13417,13719,14028,14436,14779,15186,15589,15970,16399,16901,17391,17933,18504,19039,19577,20113,20645,21218,21834,22433,23025,23635,24232,24833,25463,26100,26727,27383,28050,28732,29384,30088,30834,31532,32250,32977,33693,34436,35210,35981,36825,37608,38462,39325,40193,40995,41828,42769,43657,44514,45464,46432,47392,48487,49535,50589,51631,52715,53833,55039,56316,57522,58777,60040,61360,62744,64202,65651,67131,68615,70106,71727,73284,74796,76472,78112,79745,81418,83193,84931,86783,88648,90570,92549,94495,96476,98570,100760,102987,105233,107471,109857,112318,114763,117333,119874,122632,125334,128040,130837,133680,136688,139729,142851,146012,149269,152509,155874,159314,162682,166270,169912,173573,177371,181292,185302,189355,193362,197409,201623,205808,210250,214622,219185,223685,228274,232853,237716,242707,247501,252482,257499,262574,267689,272948,278117,283506,288889,294523,300229,306001,311927,318025,324280,330591,336815,343195,349744,356656,363636,370606,377709,384911,392231,399821,407397,415027,422865,430970,439270,447702,456306,464963,473979,482782,491870,501130,510351,519782,529266,538818,548641,558549,568568,578916,589088,599459,610028,620556,631431,642518,653484,664838,676233,687663,699474,711428,723538,735959,748180,761004,773778,786705,799701,813069,826470,840008,853852,867871,882293,896483,910830,925464,940121,955264,970470,985837,1001384,1017122,1033243,1049321,1065817,1082354,1099142,1116147,1133067,1150049,1167354,1184634,1202163,1219680,1237567,1255140,1273188,1291252,1309688,1328173,1346614,1365196,1383962,1402979,1422344,1441582,1461155,1480705,1500636,1520430,1540813,1560766,1581272,1601808,1622279,1642838,1663721,1684753,1705681,1726765,1748015,1769458,1791087,1812861,1834743,1857032,1878847,1901072,1923425,1945901,1968468,1991310,2014365,2037222,2060293,2083601,2106799,2130286,2153969,2177693,2201432,2225560,2249611,2273882,2298478,2323086,2347727,2372360,2397331,2422373,2447371,2472489,2498052,2523583,2549065,2574488,2600180,2626301,2652191,2678075,2703991,2730109,2756175,2782678,2808951,2835118
1,1,1,1,1,2,2,5,8,9,9,10,13,14,17,19,24,28,30,32,35,38,41,42,50,52,54,60,65,67,69,72,77,88,90,96,103,107,113,118,120,127,131,140,145,150,152,158,160,163,164,167,170,179,180,182,182,186,189,193,193,194,195,200,201,203,203,205,205,205,205,207,209,210,210,211,212,214,216,217,218,218,219,220,221,225,226,226,227,229,229,232,236,236,240,242,244,248,252,254,260,263,266,267,270,271,272,275,276,279,282,286,289,291,295,300,303,311,318,323,328,331,334,339,344,349,354,357,365,367,375,379,381,383,385,394,397,402,406,410,412,413,414,414,420,427,435,435,436,437,439,440,442,443,448,453,455,458,461,461,462,463,464,468,470,477,478,483,485,489,491,494,497,507,511,514,515,518,520,524,533,537,539,545,552,555,561,564,570,576,580,585,586,591,597,608,613,621,622,627,637,641,646,657,662,668,671,682,686,692,702,709,727,733,741,755,762,770,780,789,797,803,810,825,836,849,859,870,883,897,909,915,927,934,940,959,976,992,1009,1020,1031,1048,1062,1077,1088,1101,1115,1130,1142,1150,1168,1187,1195,1210,1218,1233,1245,1268,1281,1292,1315,1329,1348,1368,1381,1389,1404,1418,1429,1457,1469,1495,1515,1546,1576,1613,1642,1665,1686,1722,1754,1787,1826,1863,1904,1942,1977,2001,2032,2065,2098,2130,2152,2199,2233,2263,2287,2314,2340,2375,2408,2429,2451,2474,2493,2523,2548,2581,2605,2636,2668,2713,2744,2777,2807,2824,2850,2872,2908,2940,2968,3001,3038,3077,3107,3148,3197,3251,3292,3332,3376,3422,3461,3509,3559,3610,3657,3707,3755,3805,3854,3892,3943,3988,4037,4086,4134,4194,4256,4304,4358,4408,4476,4534,4589,4643,4713,4783,4830,4892,4969,5036,5110,5162,5216,5273,5330,5399,5456,5526,5597,5661,5737,5790,5868,5933,6017,6092,6163,6236,6318,6392,6466,6555,6636,6731,6805,6905,7003,7091,7188,7297,7389,7499,7590,7706,7819,7931,8061,8179,8292,8425,8559,8674,8770,8913,9033,9196,9335,9487,9653,9821,9994,10188,10398,10618,10826,11044,11247,11465,11721,11958,12207,12469,12716,12988,13248,13509,13784,14040,14339,14606,14892,15169,15458,15751,16094,16420,16754,17089,17471,17869,18272,18660,19085,19518,19915,20372,20835,21310,21780,22268,22723,23188,23698,24205,24736,25213,25723,26218,26748,27259,27808,28383,28902,29411,29969,30520,31054,31666,32266,32853,33451,34056,34614,35215,35831,36492,37198,37889,38683,39427,40169,40925,41728,42496,43341,44208,45081,46022,46905,47873,48845,49799,50772,51760,52736
1,1,1,1,1,2,3,6,7,10,10,10,13,14,14,14,14,15,18,21,26,29,30,32,32,36,39,43,45,50,57,60,63,70,72,77,79,83,85,90,95,101,108,112,117,120,126,128,136,139,145,148,156,164,172,174,179,187,197,207,215,221,223,229,233,237,242,242,249,259,268,275,284,293,304,312,320,326,335,345,358,367,377,391,404,417,431,444,454,471,484,498,513,517,525,536,550,560,576,586,596,611,619,628,636,650,664,677,688,693,705,712,729,741,753,764,780,789,800,817,827,840,857,873,889,904,918,936,949,973,994,1017,1035,1057,1086,1126,1152,1185,1231,1272,1319,1372,1436,1494,1566,1642,1706,1779,1850,1928,2000,2090,2159,2218,2288,2382,2456,2521,2606,2684,2767,2867,2971,3076,3169,3293,3440,3602,3751,3907,4069,4229,4393,4545,4712,4881,5031,5185,5331,5467,5612,5788,5957,6142,6311,6471,6661,6855,7034,7250,7423,7599,7769,7932,8088,8231,8404,8562,8724,8897,9062,9223,9393,9550,9721,9888,10062,10243,10393,10567,10747,10936,11098,11266,11437,11609,11794,11968,12173,12364,12572,12762,12967,13175,13396,13624,13853,14108,14348,14586,14849,15122,15409,15687,15964,16244,16574,16904,17225,17517,17843,18167,18516,18854,19180,19518,19908,20251,20642,21033,21401,21833,22283,22693,23137,23606,24056,24584,25097,25621,26153,26678,27260,27807,28362,28916,29543,30122,30699,31308,31949,32553,33153,33778,34417,35037,35714,36379,37114,37842,38584,39310,40063,40827,41587,42402,43196,44069,44945,45766,46603,47468,48372,49293,50225,51142,52040,52999,53956,54929,55900,56891,57865,58865,59862,60954,62028,63152,64258,65374,66509,67697,68934,70188,71367,72610,73857,75128,76362,77723,79099,80498,82053,83627,85173,86785,88396,90000,91676,93409,95217,96980,98780,100711,102621,104683,106767,108909,111099,113281,115463,117718,120083,122462,124920,127338,129945,132478,135135,137805,140513,143223,146000,148753,151665,154606,157614,160739,163915,167010,170244,173605,176906,180385,183824,187305,190907,194564,198346,202127,205991,209859,213740,217772,221852,225982,230145,234429,238896,243403,247928,252549,257342,262032,266954,271910,276946,282141,287534,292895,298399,304047,309678,315504,321445,327301,333371,339486,345885,352488,359111,365656,372278,378970,385815,392748,399619,406739,413951,421204,428518,435852,443316,450792,458379,466107,473975,481876,489901,498128,506443,514855,523292,531784,540500,549278,558214,567415,576772,586096,595766,605481,615250,625065,635262,645512,656058,666662,677286,688106,698922,709891,721125,732367,743651,755237,767061,778539,790382,802508,814774,827229,839755,852400,865263,878244,891306,904567,917788,931129,944957,958968,973064,987371,1001493,1016178,1030892,1046005,1060900,1075882,1091238,1106749,1122321,1138126,1154442,1170829,1187639,1204589,1221602,1238955,1256211,1273759,1291615,1309677,1328027,1346225,1364762,1383425,1402099,1421170,1439971,1459191,1478378,1497934,1517554,1537416,1557421
1,1,1,1,2,5,10,11,14,14,16,18,19,19,23,27,29,29,33,38,43,47,52,56,57,62,65,69,73,77,81,86,88,94,99,106,107,110,118,124,132,137,147,157,166,176,182,192,205,214,223,228,232,243,252,261,270,283,293,305,313,322,334,342,351,368,395,409,427,438,460,483,505,523,541,553,574,605,632,652,680,700,722,746,772,806,832,852,878,900,920,944,967,993,1024,1047,1074,1100,1127,1152,1186,1212,1246,1285,1314,1346,1383,1412,1442,1477,1512,1548,1581,1616,1658,1700,1749,1804,1840,1881,1931,1992,2056,2097,2150,2198,2248,2289,2342,2392,2442,2493,2544,2596,2655,2716,2771,2839,2906,2959,3020,3080,3132,3183,3237,3297,3354,3404,3475,3532,3603,3663,3713,3779,3844,3905,3974,4041,4112,4189,4262,4348,4412,4482,4555,4614,4676,4754,4814,4889,4980,5060,5128,5195,5278,5348,5420,5497,5575,5662,5718,5794,5879,5944,6015,6079,6163,6258,6357,6436,6518,6613,6689,6794,6880,6969,7086,7185,7261,7378,7493,7586,7691,7797,7901,8014,8120,8235,8333,8456,8549,8656,8784,8894,8999,9119,9244,9372,9497,9609,9717,9843,9952,10071,10202,10333,10449,10601,10748,10859,11019,11145,11262,11398,11550,11688,11822,11971,12112,12251,12391,12550,12696,12813,12954,13104,13252,13424,13579,13738,13899,14069,14245,14407,14559,14727,14892,15043,15222,15372,15561,15728,15903,16107,16316,16502,16691,16879,17066,17277,17479,17710,17903,18088,18277,18485,18695,18930,19166,19378,19619,19846,20070,20298,20545,20808,21061,21342,21607,21879,22153,22429,22720,23006,23299,23601,23951,24280,24631,24970,25290,25593,25965,26296,26662,27034,27427,27823,28237,28629,29074,29532,29957,30372,30842,31300,31800,32301,32776,33299,33791,34281,34817,35355,35863,36449,37015,37592,38199,38814,39455,40069,40766,41417,42116,42838,43579,44386,45151,45944,46742,47543,48375,49241,50148,51039,51935,52854,53802,54767,55747,56727,57774,58827,59933,61026,62148,63268,64457,65652,66896,68158,69473,70776,72177,73579,75016,76486,77946,79406,80963,82539,84130,85802,87537,89264,91022,92705,94433,96215,98092,100003,101894,103924,105960,108011,110153,112330,114571,116930,119195,121527,123902,126331,128826,131344,133936,136571,139292,141986,144656,147446,150316,153250,156017,159061,162106,165162,168219,171409,174659,178058,181393,184781,188301,191754,195376,199000,202816,206618,210551,214678,218881,223070,227186,231496,235755,240077,244382,248923,253650,258244,262947,267726,272516,277494,282533,287437,292461,297528,302631,307870,313137,318466,323977,329452,335059,340729,346527,352606,358566,364714,370927,377229,383552,390105,396695,403573,410463,417568,424636,431848,439278,446748,454379,462247,470133,478101,486067,494346,502686,511339,519978,528694,537761,546795,555879,565152,574861,584442,594211,604076,614059,624209,634360,644948,655579,666261,677241,688255,699487,710642,721949,733411,745121,757050,769035
1,1,1,1,2,3,4,5,6,6,6,7,7,7,7,8,8,8,8,11,13,14,16,17,20,22,23,23,26,27,28,29,31,33,38,42,48,54,57,60,61,63,65,71,75,78,85,93,101,104,107,108,114,116,124,132,136,139,145,147,154,160,164,171,174,179,184,187,194,200,207,215,221,225,230,235,241,244,252,259,265,272,284,292,302,306,315,326,332,341,347,354,364,375,388,398,405,421,429,439,449,457,466,475,482,493,507,513,520,527,539,547,557,567,580,590,599,609,623,632,641,649,665,675,682,692,698,709,723,736,744,753,768,777,793,809,816,832,847,852,865,882,894,907,925,935,949,957,969,981,991,1003,1015,1028,1036,1045,1058,1065,1078,1091,1103,1120,1127,1131,1145,1157,1165,1174,1188,1196,1205,1214,1220,1225,1233,1242,1250,1261,1274,1287,1298,1306,1317,1324,1331,1345,1355,1367,1380,1386,1393,1401,1406,1418,1429,1440,1447,1455,1459,1464,1477,1490,1499,1508,1520,1527,1532,1536,1543,1551,1556,1562,1569,1578,1587,1599,1609,1630,1647,1666,1677,1696,1731,1776,1821,1880,1956,2048,2138,2228,2332,2438,2546,2639,2753,2850,2955,3058,3152,3256,3359,3440,3530,3650,3765,3869,3991,4113,4246,4373,4520,4684,4853,4991,5151,5308,5454,5605,5755,5916,6059,6191,6343,6474,6598,6709,6840,6958,7085,7190,7303,7426,7551,7674,7783,7889,8008,8132,8245,8355,8510,8638,8779,8935,9084,9235,9434,9620,9793,9969,10141,10334,10527,10697,10865,11034,11204,11372,11530,11720,11892,12047,12203,12331,12466,12622,12753,12901,13057,13212,13351,13519,13693,13872,14055,14272,14476,14730,14957,15219,15470,15717,15994,16287,16554,16826,17096,17397,17709,17995,18264,18521,18808,19073,19349,19647,19911,20176,20449,20739,21001,21251,21533,21776,22072,22350,22635,22935,23235,23505,23807,24105,24383,24679,25002,25304,25629,25927,26286,26608,26944,27262,27602,27942,28307,28650,29033,29386,29745,30143,30533,30931,31349,31791,32192,32613,33058,33463,33903,34315,34716,35121,35573,36041,36520,36983,37459,37962,38508,39066,39653,40230,40818,41438,42124,42790,43495,44242,44998,45796,46570,47398,48262,49112,49950,50883,51809,52732,53652,54587,55540,56505,57495,58440,59470,60505,61540,62577,63623,64658,65731,66887,68027,69143,70312,71479,72679,73953,75234,76522,77784,79120,80497,81817,83212,84601,86108,87612,89074,90635,92267,93888,95498,97132,98675,100285,101885,103553,105316,107009,108666,110353,112092,113980,115819,117729,119567,121507,123474,125450,127454,129553,131629,133854,136071,138246,140524,142709,144967,147311,149632,152081,154510,156913,159334,161806,164296,166800,169492,172262,175078,177806,180624,183490,186425,189454,192512,195592,198728,201958,205303,208750,212289,215883,219638,223367,227220
1,1,1,4,5,6,8,9,13,13,14,15,15,18,21,26,28,30,33,34,34,36,36,38,38,39,41,43,44,44,46,47,47,47,48,48,48,49,49,50,51,51,52,52,53,53,53,53,53,53,54,55,56,56,56,56,57,58,60,60,61,61,62,64,64,64,65,67,67,67,68,69,72,73,75,78,80,83,87,90,90,93,95,96,97,99,101,106,110,112,115,125,135,142,149,158,160,165,172,178,184,189,194,199,207,219,229,236,237,245,251,258,265,269,272,279,289,296,307,315,324,333,341,349,361,374,389,395,406,417,423,433,442,452,465,473,484,503,515,523,533,552,566,575,592,611,629,645,658,670,690,700,710,716,730,746,762,778,788,802,823,839,863,873,894,923,953,978,997,1016,1034,1065,1085,1111,1136,1173,1193,1223,1257,1286,1325,1363,1384,1410,1443,1476,1508,1541,1574,1611,1648,1693,1722,1769,1817,1863,1902,1956,1996,2055,2109,2164,2214,2264,2317,2371,2428,2503,2578,2642,2719,2782,2853,2928,2999,3080,3171,3240,3312,3390,3469,3538,3626,3704,3775,3853,3909,3976,4044,4123,4184,4247,4317,4391,4455,4531,4612,4672,4750,4803,4883,4941,5012,5078,5138,5211,5284,5363,5445,5537,5631,5726,5832,5938,6040,6192,6330,6481,6631,6777,6922,7089,7236,7396,7562,7756,7911,8103,8256,8411,8545,8700,8837,8983,9130,9277,9429,9601,9775,9951,10103,10263,10411,10589,10736,10888,11040,11198,11352,11526,11702,11871,12054,12243,12425,12619,12829,13018,13233,13439,13638,13861,14122,14366,14629,14894,15186,15465,15722,16027,16352,16664,16964,17312,17654,18007,18331,18685,19056,19415,19801,20194,20562,20966,21344,21744,22162,22624,23029,23462,23874,24323,24792,25251,25708,26207,26699,27215,27695,28194,28697,29227,29786,30302,30876,31411,31959,32479,33063,33636,34219,34852,35443,36120,36763,37390,38018,38655,39338,40042,40717,41385,42070,42806,43506,44170,44920,45713,46498,47283,48144,48985,49866,50815,51842,52839,53850,54942,55991,57120,58277,59511,60757,62014,63368,64640,65963,67238,68598,69920,71331,72762,74235,75590,76951,78377,79790,81272,82769,84235,85760,87177,88655,90141,91614,93145,94620,96205,97827,99451,101072,102731,104363,105992,107734,109568,111437,113285,115177,117071,118911,120837,122743,124643,126539,128508,130511,132517,134431,136474,138479,140588,142644,144720,146872,149093,151295,153587,155906,158274,160749,163135,165574,168124,170788,173416,176116,178846,181671,184535,187421,190293,193308,196382,199384,202522,205740,209020,212417,215749,219173,222778,226340,229959,233538,237187,240986,244803,248607,252445,256410,260501,264504,268563,273015,277335,281720,286163,290769,295579,300626,305584,310635,315821,321004,326335,331707,337207,342693,348253,353891,359543,365228,371011,376961,382766,388744
1,1,1,1,3,5,6,8,9,9,12,14,15,17,17,20,24,27,32,37,39,40,42,45,50,54,62,65,74,77,83,89,94,99,101,109,114,119,129,132,139,144,150,158,166,167,174,181,188,192,197,203,211,216,225,234,244,249,259,268,277,284,290,303,308,315,326,338,346,350,355,364,371,382,393,403,419,433,441,451,463,470,487,499,522,537,551,569,584,603,617,629,651,669,681,692,710,721,737,753,770,788,807,819,830,844,858,872,892,904,917,924,938,957,969,987,998,1010,1018,1028,1041,1049,1064,1072,1076,1091,1100,1109,1123,1131,1141,1149,1157,1167,1176,1183,1194,1204,1213,1219,1229,1235,1246,1252,1259,1264,1271,1276,1289,1295,1301,1309,1316,1324,1334,1341,1350,1355,1367,1373,1379,1390,1394,1406,1422,1434,1446,1461,1472,1489,1499,1513,1524,1539,1556,1569,1581,1595,1613,1635,1661,1682,1703,1715,1735,1757,1795,1826,1865,1895,1928,1968,2010,2035,2061,2101,2130,2163,2209,2253,2300,2362,2406,2453,2492,2533,2575,2622,2664,2743,2807,2889,2964,3033,3096,3162,3232,3302,3383,3467,3564,3651,3726,3813,3898,3996,4126,4232,4358,4478,4574,4707,4828,4944,5073,5209,5359,5508,5654,5811,5972,6162,6336,6515,6707,6912,7111,7300,7527,7736,7952,8166,8406,8619,8854,9096,9345,9596,9842,10125,10397,10695,10980,11244,11556,11897,12220,12548,12851,13168,13522,13847,14206,14603,14971,15352,15748,16125,16528,16896,17309,17735,18156,18562,19002,19437,19892,20328,20820,21246,21713,22202,22659,23150,23596,24080,24615,25147,25676,26210,26791,27368,27946,28540,29206,29849,30470,31146,31879,32562,33298,34074,34876,35716,36544,37460,38352,39232,40121,41055,42069,43029,44094,45101,46131,47186,48322,49479,50641,51878,53127,54358,55678,56965,58310,59673,61121,62613,64104,65679,67225,68886,70544,72197,73862,75598,77325,79046,80710,82562,84282,86217,88164,90167,92120,94074,96012,98035,100169,102259,104337,106525,108786,110942,113179,115446,117768,120223,122658,125170,127776,130376,133040,135770,138554,141290,144143,146978,150121,153079,156239,159389,162559,165826,169023,172256,175588,178974,182373,185943,189396,192845,196463,200102,203703,207349,211106,214932,218802,222715,226621,230707,234755,238988,243180,247556,251815,256319,260949,265497,270050,274748,279588,284564,289652,294945,300418,305757,311165,316529,322102,327739,333452,339366,345499,351770,358007,364476,370937,377582,384191,390970,397674,404714,411907,419040,426139,433514,440918,448502,456122,463799,471781,479982,488380,496737,505438,513997,522896,531987,541291,550610,560048,569740,579489,589606,599734,610134,620656,631405,642016,653062,663988,675058,686503,698103,709687,721803,733932,746261,758503,770832,783334,796251,809241,822329,835480,848624,862035,875568,889108,902776,916770,930866,945182,959792,974401,989220,1004168,1019361,1034618,1050200,1065502,1081286,1097313,1113553,1129582
1,1,1,2,2,3,5,7,8,9,9,10,10,12,16,16,19,24,32,37,40,44,47,52,56,61,66,71,74,78,84,88,93,93,96,104,111,112,118,122,128,131,132,139,150,156,163,171,176,187,196,199,213,218,230,237,245,262,271,281,291,307,324,341,348,358,372,388,395,404,415,424,434,452,460,474,485,503,521,544,560,580,598,615,634,665,686,713,744,785,814,843,879,920,940,973,997,1018,1053,1080,1114,1156,1200,1233,1287,1344,1401,1449,1512,1566,1628,1681,1753,1815,1916,2000,2079,2156,2261,2375,2494,2630,2741,2858,2992,3124,3270,3417,3575,3740,3925,4080,4276,4465,4680,4874,5059,5248,5435,5620,5832,6044,6286,6532,6763,7039,7275,7534,7797,8089,8386,8703,9007,9326,9681,10027,10385,10794,11203,11628,12055,12502,12966,13395,13863,14354,14905,15421,15948,16463,16995,17552,18142,18689,19249,19842,20477,21093,21758,22467,23240,24027,24823,25599,26367,27183,27994,28811,29659,30513,31401,32266,33158,33984,34891,35740,36680,37550,38430,39346,40329,41289,42311,43327,44379,45461,46549,47626,48732,49884,51003,52160,53315,54524,55850,57135,58468,59808,61213,62626,64078,65584,67099,68606,70245,71869,73465,75103,76851,78626,80392,82246,84147,86038,87985,89978,92032,94123,96244,98475,100871,103277,105745,108258,110722,113301,115938,118573,121340,124166,127101,130063,133145,136219,139269,142439,145645,148989,152351,155813,159324,162892,166434,170120,173960,177901,181800,185758,189726,193773,197944,202116,206487,210996,215476,220091,224793,229655,234596,239496,244555,249649,254984,260267,265568,271145,276665,282356,288173,293903,299810,305884,311941,318257,324633,331031,337496,344151,350797,357619,364502,371579,378904,386127,393612,401081,408758,416537,424452,432336,440133,448193,456389,464613,473208,481753,490458,499379,508406,517559,526979,536470,545905,555553,565333,575281,585219,595138,605280,615711,626338,636903,647703,658755,669847,681075,692479,703992,715758,727548,739713,751829,764060,776554,788964,801719,814635,827443,840558,853661,867212,880754,894592,908549,922540,936725,951404,966021,980650,995909,1011310,1026756,1042542,1058272,1074433,1090679,1107323,1123783,1140568,1157514,1174737,1192208,1209686,1227642,1245628,1263881,1282194,1300869,1319562,1338305,1357429,1376524,1395717,1415239,1435021,1454904,1474700,1495009,1515056,1535416,1555891,1576686,1597632,1618417,1639669,1660909,1682438,1703963,1725686,1747342,1769279,1791167,1813386,1835774,1858131,1880799,1903573,1926445,1949427,1972422,1995474,2018579,2041922,2065409,2089292,2113391,2137386,2161223,2185092,2209296,2233662,2257802,2282071,2306399,2331174,2355985,2380758,2405957,2430990,2456209,2481475,2507159,2532801,2558506,2584321,2610240,2636618,2663035,2689488,2715932,2742929,2769683,2796778,2823697,2851115,2878491,2905415,2932738,2960333,2988418,3016417,3044378,3072444,3100282,3128205,3156267,3184341,3212473,3240734,3268992,3297159,3325250,3353289,3381559,3409803,3438017,3466544,3494723,3523088,3551200,3579623,3608079,3636612,3665073,3693633,3722300,3750891,3779380,3808180,3837102,3866016,3894959,3924019,3952836,3981841,4010609,4039776,4068958,4097825,4127020,4156047,4184900,4213738,4242951,4272433,4301598,4330598
1,1,1,2,3,3,5,7,8,9,13,17,21,25,29,34,35,35,36,38,41,46,54,56,60,65,69,77,84,91,100,108,110,117,122,130,135,139,142,146,155,157,162,170,174,182,185,188,194,195,201,207,209,214,222,230,236,241,246,250,256,263,268,278,288,297,302,311,314,317,321,329,335,343,351,354,361,370,378,385,395,406,413,417,424,435,441,450,456,460,466,469,473,478,484,488,494,505,522,541,554,567,575,589,602,635,685,751,790,848,903,960,1024,1090,1164,1241,1323,1406,1481,1543,1604,1673,1742,1805,1874,1936,1993,2056,2125,2181,2239,2294,2355,2418,2470,2538,2598,2667,2724,2784,2853,2916,2986,3063,3135,3208,3273,3348,3421,3486,3548,3604,3682,3760,3822,3900,3974,4053,4119,4183,4258,4326,4409,4504,4606,4724,4818,4927,5069,5205,5358,5511,5679,5816,5966,6135,6301,6468,6622,6784,6932,7085,7226,7359,7510,7675,7831,7990,8156,8300,8482,8652,8810,8952,9113,9271,9432,9602,9773,9983,10159,10343,10539,10736,10959,11156,11362,11542,11776,11989,12208,12382,12597,12811,13033,13264,13477,13699,13930,14151,14401,14629,14868,15121,15378,15664,15983,16291,16599,16912,17239,17566,17869,18220,18628,19004,19376,19772,20130,20519,20943,21351,21804,22256,22737,23226,23725,24184,24701,25207,25765,26353,26933,27534,28146,28746,29334,29918,30603,31281,32016,32790,33621,34502,35390,36281,37198,38127,39130,40110,41172,42211,43266,44397,45587,46774,47974,49234,50504,51782,53064,54281,55640,56971,58276,59582,60967,62340,63714,65074,66586,68017,69576,71066,72610,74150,75707,77316,78950,80572,82196,83919,85648,87433,89274,91143,93118,95069,97083,99041,101192,103208,105345,107573,109862,112161,114515,116934,119444,121915,124535,127171,129894,132612,135415,138325,141263,144236,147339,150427,153521,156715,160074,163320,166610,169954,173265,176709,180227,183783,187394,191103,194942,198728,202676,206610,210598,214632,218679,222792,226970,231427,235962,240551,245028,249773,254553,259453,264335,269270,274463,279583,284745,290085,295427,300797,306330,311960,317585,323337,329313,335484,341614,347826,354161,360693,367316,373978,380777,387751,394774,401964,409180,416509,424100,431748,439542,447480,455720,463970,472332,480939,489588,498451,507387,516551,526112,535663,545284,555057,564977,574879,585007,595286,605566,616133,626658,637572,648383,659435,670535,681661,693004,704386,716104,727888,739847,752067,764353,776927,789720,802347,815065,828057,840879,853861,867213,880611,894234,907817,921458,935495,949529,963796,978390,993075,1007953,1022904,1038142,1053286,1068611,1083922,1099409,1114965,1131107,1146948,1162942,1179040,1195162,1211598,1228213,1244810,1261400,1278370,1295062,1312081,1329330,1346688,1364220,1381668,1399347,1417071,1435275,1453497,1471960,1490341,1508940,1528133,1547291,1566508,1585811,1605118,1624638,1644178,1663879,1683462,1703608,1723978,1744334,1765063,1785564,1806228,1826820,1847544,1868410,1889806,1911227,1932357,1953791,1975112,1996854,2018683,2040708,2062638,2084940,2107224,2129512
1,1,1,1,1,1,1,2,4,5,8,9,9,9,10,11,11,11,11,11,13,14,15,16,18,20,23,25,27,30,31,36,41,43,47,49,50,53,58,64,70,75,75,81,86,89,91,100,105,107,115,117,125,130,136,142,148,155,162,169,181,197,204,213,227,233,245,255,263,272,284,292,304,326,334,345,354,366,375,388,399,406,411,424,430,445,450,456,464,472,480,487,495,500,509,514,520,523,530,537,540,546,549,560,566,572,581,589,597,605,612,618,622,630,637,647,651,658,662,667,672,679,690,699,705,716,724,732,740,749,758,768,778,789,802,818,834,845,849,867,883,896,905,915,930,934,945,957,965,978,992,999,1010,1024,1035,1045,1058,1068,1077,1089,1098,1108,1114,1122,1126,1133,1137,1145,1154,1160,1169,1176,1191,1205,1219,1224,1233,1243,1248,1256,1273,1283,1295,1308,1315,1330,1340,1353,1363,1376,1385,1401,1415,1433,1454,1475,1490,1500,1514,1523,1543,1552,1557,1569,1587,1600,1616,1629,1640,1655,1670,1688,1701,1711,1725,1744,1763,1775,1784,1810,1825,1831,1843,1861,1882,1892,1903,1919,1936,1948,1959,1973,1990,2007,2024,2042,2058,2074,2088,2099,2109,2129,2149,2166,2181,2202,2216,2245,2275,2300,2328,2352,2371,2397,2414,2446,2481,2512,2538,2566,2597,2620,2645,2677,2711,2745,2783,2821,2855,2892,2934,2969,3005,3037,3079,3126,3169,3216,3266,3307,3346,3386,3442,3480,3527,3586,3633,3685,3741,3796,3852,3898,3958,4028,4112,4178,4251,4308,4377,4452,4517,4587,4646,4724,4799,4871,4950,5030,5106,5185,5268,5338,5424,5530,5634,5731,5824,5931,6066,6173,6323,6473,6602,6741,6927,7118,7310,7530,7747,7967,8187,8435,8671,8967,9202,9473,9746,10041,10341,10616,10910,11194,11474,11752,12109,12448,12793,13149,13579,13976,14404,14869,15320,15789,16262,16735,17211,17708,18237,18729,19282,19867,20439,21026,21603,22187,22720,23285,23857,24508,25133,25753,26367,26991,27635,28309,28949,29658,30345,30993,31694,32434,33207,33930,34666,35416,36170,36913,37704,38543,39430,40322,41211,42122,43056,44038,44999,45952,46940,47915,48930,50010,51038,52105,53181,54395,55520,56654,57784,58920,60131,61293,62479,63747,65028,66287,67583,68936,70301,71715,73109,74543,76071,77644,79332,81056,82763,84533,86334,88124,89972,91794,93608,95426,97313,99258,101192,103071,105062,107075,109076,111126,113130,115130,117067,119113,121198,123267,125447,127702,129874,132093,134381,136754,139062,141401,143827,146376,148940,151447,153986,156527,159165,161957,164874,167756,170695,173685,176762,179887,182988,186247,189559,192984,196326,199896,203545,207343,211058,215032,219057,223107,227131,231224,235499,239851,244251,248487,252982,257519,262225,267098,271876,276880,281858,286927,292044
1,1,1,1,3,3,4,5,5,6,7,9,10,10,11,11,14,15,16,22,22,23,24,28,31,38,42,50,52,57,60,67,71,75,85,88,93,98,112,121,126,132,143,152,158,168,173,180,194,202,220,234,247,260,272,286,309,324,338,366,388,405,429,450,466,489,505,530,561,593,632,665,692,733,770,804,839,876,927,971,1010,1054,1103,1150,1183,1228,1286,1325,1373,1417,1473,1530,1585,1630,1688,1731,1780,1822,1869,1917,1970,2018,2076,2135,2185,2226,2292,2338,2400,2446,2499,2542,2590,2652,2714,2764,2814,2864,2912,2961,3015,3076,3130,3183,3234,3280,3326,3382,3430,3475,3524,3579,3627,3679,3737,3788,3847,3899,3940,3995,4055,4100,4162,4204,4249,4297,4357,4408,4466,4522,4576,4625,4679,4723,4781,4826,4879,4925,4972,5025,5090,5142,5199,5257,5325,5377,5438,5501,5561,5642,5713,5768,5822,5883,5948,6007,6065,6142,6204,6264,6324,6381,6455,6519,6592,6662,6733,6799,6878,6959,7037,7122,7217,7312,7414,7503,7606,7703,7815,7923,8022,8127,8249,8349,8457,8564,8695,8845,8957,9064,9186,9313,9437,9583,9715,9858,10032,10171,10316,10441,10581,10729,10862,11014,11157,11294,11444,11615,11769,11916,12070,12254,12410,12551,12686,12848,13002,13161,13308,13440,13589,13726,13870,14010,14158,14292,14443,14586,14745,14895,15028,15209,15369,15540,15717,15927,16133,16327,16527,16736,16893,17077,17268,17450,17634,17818,18019,18238,18437,18639,18831,19019,19235,19457,19647,19872,20090,20330,20543,20788,21041,21275,21534,21778,22012,22284,22558,22819,23081,23349,23600,23886,24143,24414,24699,24995,25252,25545,25811,26095,26390,26724,27054,27383,27731,28042,28369,28692,29043,29393,29744,30122,30495,30908,31278,31681,32104,32516,32947,33387,33797,34220,34696,35211,35712,36220,36669,37180,37674,38184,38724,39236,39752,40285,40807,41359,41914,42422,42991,43548,44112,44728,45256,45841,46461,47089,47732,48413,49010,49696,50341,51077,51802,52565,53345,54117,54945,55775,56575,57366,58185,58984,59835,60753,61675,62607,63573,64513,65523,66513,67559,68593,69723,70894,72086,73318,74596,75916,77196,78494,79780,81072,82400,83810,85235,86663,88159,89643,91112,92582,94077,95580,97152,98768,100372,101998,103668,105426,107269,109121,111070,112998,114972,117009,119044,121082,123209,125351,127562,129819,132174,134537,136971,139444,141892,144417,147083,149740,152448,155126,157930,160732,163678,166687,169791,172895,176210,179476,182803,186296,189658,193223,196786,200465,204160,207970,211979,215948,220069,224288,228586,233005,237634,242174,246885,251728,256562,261517,266435,271556,276839,282093,287494,293071,298757,304700,310469,316299,322399,328472,334761,341154,347810,354568,361325,368150,375218,382296,389462,396580,403957,411582,419358,427171,434990,442854,450870,458987,467251,475688,484132,492881,501549,510473,519313,528153,537108,546095,555275,564501,573773,583110,592610,602296,612078,621973,632075
1,1,1,2,2,2,2,3,5,5,9,10,12,14,17,19,20,22,28,30,36,44,48,55,63,68,72,76,81,86,95,101,107,108,112,116,120,126,128,131,136,146,150,156,157,161,164,168,178,188,195,203,205,211,214,217,224,230,234,239,245,248,255,260,265,274,278,285,287,297,299,305,311,314,323,325,329,338,345,351,354,357,360,365,374,378,380,385,390,398,405,410,417,421,425,429,434,442,450,455,459,462,466,473,481,491,496,502,511,516,524,532,544,554,562,570,581,586,598,612,624,632,640,645,655,660,672,683,693,708,720,729,745,761,774,794,809,821,834,848,865,879,895,910,925,947,968,981,1005,1026,1039,1065,1080,1097,1113,1132,1152,1168,1179,1199,1218,1236,1248,1262,1280,1295,1314,1324,1334,1348,1365,1377,1390,1400,1413,1423,1432,1438,1443,1454,1467,1473,1481,1492,1502,1513,1529,1541,1548,1561,1571,1588,1599,1618,1631,1638,1650,1659,1678,1694,1719,1734,1748,1767,1778,1799,1807,1826,1839,1852,1870,1891,1908,1925,1933,1945,1964,1981,2001,2014,2028,2060,2078,2093,2116,2137,2156,2177,2193,2213,2229,2257,2283,2306,2324,2346,2372,2395,2422,2435,2454,2476,2499,2520,2536,2561,2584,2611,2642,2664,2692,2717,2748,2776,2795,2822,2851,2874,2904,2928,2947,2979,3025,3050,3078,3112,3142,3175,3201,3227,3265,3306,3344,3383,3425,3456,3496,3542,3582,3624,3676,3717,3756,3816,3854,3904,3951,4002,4047,4108,4146,4190,4226,4261,4313,4365,4426,4483,4531,4575,4640,4682,4722,4775,4842,4894,4967,5023,5080,5147,5197,5266,5330,5387,5446,5520,5608,5683,5748,5818,5890,5953,6052,6160,6258,6347,6463,6582,6704,6854,6996,7134,7268,7435,7588,7754,7943,8135,8339,8526,8751,8978,9196,9387,9625,9875,10109,10356,10604,10838,11097,11355,11643,11951,12239,12507,12813,13111,13402,13704,14015,14351,14704,15056,15415,15790,16165,16542,16910,17341,17744,18152,18663,19114,19585,20051,20537,21033,21536,22048,22634,23215,23800,24433,25063,25720,26418,27075,27745,28487,29155,29951,30738,31509,32325,33111,33985,34819,35617,36480,37386,38214,39125,40085,40972,41924,42836,43806,44803,45862,46896,48013,49134,50293,51441,52601,53824,55028,56310,57597,58870,60175,61457,62783,64100,65432,66744,68125,69468,70849,72243,73680,75108,76557,78114,79594,81110,82663,84268,85809,87340,88982,90530,92149,93762,95514,97210,98949,100780,102560,104407,106366,108339,110320,112300,114414,116544,118795,121040,123166,125509,127860,130149,132544,134982,137448,139938,142520,145081,147686,150369,153083,155827,158531,161372,164221,167199,170095,173069,176148,179249,182309,185506,188790,192080,195329,198747,202139,205677,209157,212666,216318,219918,223591,227370,231154,234979
1,1,1,1,1,1,2,3,4,7,7,8,8,9,9,9,12,13,16,16,19,19,24,26,28,33,35,38,41,43,45,51,53,62,65,72,75,82,86,94,98,107,111,122,133,142,151,156,167,173,183,193,202,213,222,228,248,260,272,282,306,323,338,349,370,380,399,419,432,454,481,508,525,543,561,584,604,628,653,675,701,720,755,781,811,831,860,894,929,962,990,1025,1061,1086,1118,1158,1184,1220,1268,1307,1334,1372,1409,1448,1480,1524,1561,1603,1640,1674,1722,1767,1803,1841,1876,1931,1977,2034,2081,2139,2185,2236,2301,2353,2407,2460,2516,2579,2627,2698,2765,2831,2911,2986,3052,3131,3205,3273,3349,3427,3501,3589,3673,3779,3859,3957,4056,4152,4239,4335,4431,4524,4620,4727,4834,4952,5072,5177,5279,5400,5511,5621,5735,5868,6008,6142,6266,6396,6534,6685,6815,6982,7130,7308,7490,7654,7837,8023,8193,8387,8622,8815,9051,9276,9515,9731,9965,10168,10410,10638,10900,11137,11380,11644,11924,12165,12450,12734,13029,13309,13624,13951,14274,14601,14900,15207,15524,15882,16237,16569,16915,17254,17658,18027,18390,18776,19174,19540,19922,20310,20693,21141,21582,21982,22433,22860,23334,23803,24235,24716,25208,25734,26316,26915,27486,28120,28717,29378,30010,30648,31339,32027,32685,33396,34105,34872,35641,36424,37231,37990,38818,39646,40516,41429,42415,43362,44290,45285,46349,47304,48300,49365,50418,51445,52524,53579,54681,55773,56838,57925,59096,60282,61445,62711,63897,65107,66357,67638,68904,70225,71582,72975,74383,75835,77292,78936,80517,82176,83840,85488,87216,88975,90778,92578,94344,96252,98332,100311,102398,104488,106632,108812,110959,113240,115564,118042,120410,122810,125250,127795,130415,133045,135713,138517,141229,144095,147069,150143,153174,156259,159343,162557,165886,169246,172663,176155,179669,183227,186868,190480,194163,197898,201693,205496,209374,213281,217250,221381,225476,229652,233933,238209,242625,247071,251570,256200,260901,265690,270567,275431,280424,285448,290648,295849,301365,306924,312579,318162,323816,329638,335464,341372,347486,353588,359868,366219,372670,379129,385849,392537,399293,406175,413195,420276,427374,434664,441834,449210,456650,464326,472031,479749,487712,495541,503607,511989,520528,529009,537633,546338,555329,564383,573572,582736,592060,601484,611132,620952,630755,640702,650760,660821,671386,681980,692597,703434,714270,725431,736842,748288,760092,771709,783526,795661,807754,820102,832669,845244,857965,870804,883946,897181,910574,923760,937182,950858,964748,978801,993113,1007455,1022174,1036808,1051405,1066240,1081174,1096359,1111984,1127813,1143844,1159672,1176146,1192264,1208623,1225291,1242016,1258919,1275799,1292836,1309956,1327224,1344507,1362000,1379780,1397683,1415722,1433653,1451789,1470127,1488335,1506803,1525266,1544031,1562980,1582192,1601233,1620484,1640226,1659943,1679933,1700084,1720180,1740460,1760632,1781242,1801984,1822771,1843878,1864881,1885937,1907116,1928483,1949951,1971510,1993044,2014638,2036636,2058858,2081215,2103519,2125950,2148642,2171405,2194325,2217290,2240668,2263922,2287448
1,1,1,1,4,4,6,7,9,9,10,11,11,12,15,15,15,15,15,16,17,17,19,20,21,22,23,24,24,25,26,30,33,33,33,34,39,41,45,46,49,51,55,63,69,72,78,82,90,92,98,99,103,104,107,110,115,119,123,129,131,138,143,148,149,151,154,160,161,164,166,166,170,175,181,185,186,189,192,196,200,210,214,216,221,224,227,231,235,240,243,251,254,260,265,269,273,279,283,292,293,298,301,307,312,321,330,340,351,361,370,383,395,405,418,428,440,458,475,496,510,526,545,561,581,592,604,625,652,678,701,722,752,790,821,860,888,922,949,978,1012,1046,1073,1101,1144,1186,1221,1257,1292,1332,1362,1392,1431,1470,1507,1548,1589,1638,1685,1726,1778,1830,1883,1934,1981,2025,2070,2134,2195,2247,2317,2373,2441,2515,2572,2648,2729,2812,2892,2995,3075,3172,3262,3333,3426,3505,3592,3687,3788,3880,3992,4078,4187,4277,4385,4476,4594,4714,4832,4942,5039,5160,5275,5397,5505,5623,5768,5872,6008,6152,6292,6445,6595,6743,6894,7060,7218,7388,7567,7756,7942,8119,8299,8464,8657,8847,9060,9240,9438,9656,9835,10035,10229,10413,10616,10829,11045,11239,11485,11685,11884,12101,12350,12643,12907,13216,13507,13786,14090,14409,14729,15067,15419,15747,16090,16437,16827,17197,17559,17942,18344,18731,19115,19524,19927,20391,20833,21314,21820,22346,22878,23436,23961,24573,25204,25847,26477,27145,27815,28444,29153,29870,30520,31202,31925,32623,33325,34040,34740,35444,36158,36921,37712,38502,39326,40091,40953,41796,42622,43451,44287,45196,46126,47040,47998,48984,50004,51058,52178,53306,54513,55729,56963,58267,59594,60888,62293,63648,65091,66598,68064,69495,70949,72477,73999,75605,77088,78525,80048,81626,83213,84836,86455,88068,89777,91513,93285,95083,96986,98911,100859,102859,104841,106950,108975,111101,113318,115509,117752,120033,122302,124577,126891,129328,131669,134238,136828,139441,142127,144781,147599,150536,153429,156408,159507,162664,165936,169321,172660,176187,179657,183226,186792,190360,193957,197682,201480,205211,209017,212857,216826,220729,224816,228889,233008,237267,241694,246014,250501,255171,259802,264612,269546,274515,279691,284801,289992,295386,300933,306598,312247,317898,323655,329566,335697,341739,347886,354111,360382,366724,373162,379631,386273,392913,399670,406506,413372,420408,427393,434445,441669,448872,456300,463675,471367,479025,486872,495031,503235,511265,519750,528381,537128,546084,555159,564222,573516,583092,592902,602716,612855,623097,633428,643865,654672,665429,676551,687460,698670,709985,721624,733301,745274,757307,769664,782229,794734,807447,820452,833561,846841,860319,873985,888073,902366,917050,931589,946245,961448,976524,991749,1007145,1022822,1038529,1054570,1070646,1086936,1103577,1120439,1137266,1154132,1171273,1188480,1205860,1223348,1240954,1258756,1276694,1294805,1312945,1331606,1350246,1368785,1387727,1406580,1425469,1444573
1,1,1,1,2,3,3,4,5,6,11,12,13,14,16,19,20,23,26,34,35,40,41,42,50,54,54,57,59,59,62,66,69,77,79,83,87,95,100,104,107,117,119,132,138,143,146,150,157,159,171,184,197,214,222,229,233,243,249,259,265,284,297,309,324,340,353,370,379,388,405,416,427,441,451,463,479,488,501,511,528,541,554,568,586,602,620,639,660,678,691,710,719,735,752,765,775,798,819,840,861,881,897,910,929,951,970,988,1014,1034,1047,1063,1075,1090,1115,1130,1153,1172,1190,1214,1233,1249,1264,1282,1292,1311,1332,1356,1375,1387,1405,1430,1459,1485,1503,1521,1558,1593,1625,1665,1697,1744,1808,1877,1935,2009,2084,2174,2274,2386,2494,2602,2733,2873,2996,3086,3213,3347,3473,3600,3738,3899,4049,4222,4393,4585,4767,4926,5089,5268,5442,5626,5791,5957,6141,6324,6524,6709,6893,7099,7310,7553,7768,7983,8200,8409,8584,8806,9018,9218,9439,9638,9850,10044,10252,10452,10638,10802,10973,11128,11295,11473,11657,11834,12025,12178,12378,12554,12719,12889,13049,13211,13382,13576,13754,13950,14112,14309,14512,14716,14901,15099,15359,15575,15809,16054,16282,16533,16822,17132,17396,17668,17945,18223,18505,18792,19090,19403,19687,19988,20277,20594,20915,21235,21552,21923,22251,22607,22952,23364,23803,24277,24698,25176,25634,26095,26568,27048,27526,28050,28565,29087,29632,30142,30685,31237,31797,32371,32995,33552,34168,34773,35413,36038,36689,37364,38031,38711,39420,40149,40895,41635,42382,43184,43931,44710,45514,46293,47121,47979,48845,49736,50629,51538,52457,53350,54292,55197,56182,57187,58223,59230,60274,61312,62398,63508,64584,65742,66871,67995,69145,70330,71571,72888,74164,75418,76868,78180,79609,81010,82538,84026,85570,87135,88741,90363,91951,93621,95369,97158,99030,100840,102693,104642,106578,108564,110596,112652,114675,116808,118947,121122,123365,125687,127971,130400,132926,135502,137968,140515,143122,145713,148416,151220,153967,156853,159757,162676,165698,168788,171892,175032,178318,181625,185101,188451,191987,195467,199016,202681,206397,210309,214171,218112,221986,226121,230146,234495,238846,243296,247841,252486,257169,261889,266736,271759,276813,282063,287181,292455,297889,303436,308923,314650,320297,326010,331859,337861,343899,349845,356071,362251,368556,374894,381297,387903,394418,401002,407670,414554,421644,428724,436096,443266,450650,458207,465777,473494,481229,489258,497427,505401,513546,521839,530062,538393,546812,555297,563968,572724,581678,590653,599695,608734,617983,627350,636872,646417,656230,665957,675543,685485,695497,705530,715602,725792,736181,746702,757408,768183,779142,790189,801428,812538,823930,835316,847046,858678,870608,882625,894877,907057,919498,931973,944653,957692,970814,983956,997156,1010496,1023869,1037430,1051042,1064670,1078687,1092991,1107422,1121775,1136235,1150932,1165989,1180901,1196044,1211256,1226684,1242637,1258445,1274475,1290527,1306964,1323506,1340350,1357251,1374476,1391655,1408992,1426765
1,1,1,1,1,2,3,3,3,7,7,8,8,10,10,11,11,13,13,13,17,19,21,22,24,27,29,32,37,43,48,55,56,61,63,66,68,71,75,78,80,87,90,92,98,101,105,114,119,125,133,140,145,153,157,166,170,179,188,192,208,218,236,248,256,264,271,291,308,321,330,346,358,373,387,406,420,438,447,467,483,506,526,544,557,578,596,613,626,651,672,690,711,729,755,772,795,811,829,851,879,901,926,957,977,995,1020,1036,1061,1085,1105,1129,1146,1169,1190,1213,1239,1259,1282,1304,1315,1342,1359,1382,1401,1427,1446,1463,1482,1506,1529,1561,1583,1603,1620,1642,1670,1699,1721,1749,1782,1817,1847,1879,1909,1944,1982,2013,2053,2088,2126,2169,2202,2242,2269,2298,2327,2356,2399,2438,2465,2503,2534,2582,2625,2667,2708,2751,2794,2849,2899,2947,2982,3024,3083,3141,3195,3249,3306,3358,3405,3462,3521,3590,3651,3701,3756,3819,3880,3941,3999,4068,4127,4181,4253,4320,4393,4470,4533,4602,4685,4756,4838,4913,4992,5075,5153,5246,5345,5439,5547,5647,5733,5835,5938,6031,6131,6230,6341,6459,6565,6670,6796,6909,7021,7144,7258,7375,7499,7628,7757,7904,8026,8150,8275,8390,8539,8680,8801,8934,9106,9220,9357,9500,9622,9765,9899,10050,10213,10366,10522,10671,10835,10985,11166,11333,11493,11642,11795,11959,12103,12253,12413,12592,12784,12976,13140,13334,13512,13709,13907,14116,14321,14530,14749,14962,15200,15456,15688,15921,16165,16402,16634,16888,17179,17450,17745,18028,18326,18623,18895,19200,19525,19865,20202,20558,20919,21291,21683,22042,22482,22868,23256,23638,24069,24498,24882,25275,25698,26130,26577,26984,27420,27895,28367,28817,29291,29811,30271,30771,31290,31851,32421,32990,33540,34091,34740,35412,36103,36787,37469,38126,38854,39581,40330,41121,41903,42722,43509,44307,45122,45922,46698,47563,48461,49358,50299,51268,52192,53143,54090,55141,56180,57266,58345,59483,60572,61743,62896,64061,65247,66443,67649,68950,70258,71651,73095,74653,76192,77681,79254,80835,82530,84229,85937,87634,89438,91254,93076,95016,96886,98837,100833,102849,104809,106896,108962,111114,113164,115293,117458,119695,121862,124139,126398,128777,131068,133417,135855,138300,140752,143325,145962,148479,151066,153787,156670,159436,162275,165091,168021,170912,173970,176918,179923,182912,185831,188896,191981,195232,198450,201631,204950,208349,211753,215201,218660,222188,225834,229492,233362,237263,241228,245256,249359,253452,257697,261963,266286,270738,275158,279570,283996,288494,293174,297874,302586,307718,312857,317834,323109,328494,333888,339436,345095,350829,356693,362593,368686,374817,381024,387203,393603,400168,406737,413594,420389,427234,434288,441466,448687,456057,463571,471084,478718,486579,494690,502910,511083,519620,528247,537030,546066,554940,564035,573138,582355,591709,601234,610886,620506,630297,640206,650097,660071,669988,679863
1,1,1,1,3,4,4,7,8,10,11,14,15,16,20,26,30,35,40,44,47,54,56,57,60,64,72,74,76,79,82,90,94,96,100,108,112,119,123,132,136,142,147,152,157,164,171,185,192,203,212,218,229,235,242,249,255,259,270,282,288,295,306,313,321,333,340,353,361,371,383,392,400,413,429,446,464,490,506,529,543,568,584,606,637,666,684,712,741,774,800,833,869,907,957,996,1048,1091,1143,1191,1234,1297,1359,1419,1475,1534,1606,1665,1738,1818,1883,1957,2043,2127,2225,2319,2411,2506,2600,2681,2772,2878,2992,3096,3198,3312,3420,3536,3669,3781,3912,4030,4146,4284,4399,4535,4651,4773,4897,5016,5123,5263,5378,5499,5623,5760,5866,5996,6120,6252,6382,6515,6653,6781,6923,7049,7181,7309,7450,7596,7737,7880,8030,8187,8354,8519,8707,8874,9074,9273,9490,9702,9922,10155,10369,10617,10852,11085,11339,11570,11805,12070,12324,12612,12869,13147,13417,13694,13958,14230,14532,14839,15148,15466,15810,16135,16491,16857,17217,17570,17951,18283,18655,19023,19397,19830,20220,20667,21071,21493,21928,22377,22827,23270,23767,24214,24684,25155,25638,26169,26669,27177,27650,28170,28757,29310,29862,30427,30990,31564,32171,32812,33397,34047,34741,35479,36152,36876,37607,38340,39123,39930,40814,41683,42564,43489,44394,45292,46268,47257,48243,49246,50311,51381,52479,53575,54738,55938,57121,58323,59523,60801,62076,63361,64661,65915,67209,68533,69881,71237,72592,73952,75309,76782,78151,79591,81040,82458,83916,85391,86854,88435,90010,91642,93269,95045,96780,98554,100390,102217,104041,106012,108014,110015,112144,114290,116508,118819,121175,123514,125939,128399,130843,133433,135897,138586,141131,143760,146501,149174,151925,154643,157428,160291,163211,166224,169194,172088,175056,178071,181123,184246,187332,190468,193707,197262,200642,203964,207418,211019,214609,218216,222073,225923,229921,233823,237835,241768,245887,250041,254298,258656,263091,267521,272024,276580,281163,285890,290732,295609,300437,305530,310622,315815,321170,326465,332032,337596,343116,348647,354379,360277,366332,372495,378742,385005,391490,398030,404781,411616,418356,425349,432513,439506,446836,454064,461491,469122,476691,484462,492444,500242,508322,516719,525158,533777,542538,551320,560302,569440,578908,588186,597735,607503,617347,627359,637246,647364,657693,667979,678713,689428,700168,710995,722055,733207,744688,756288,767923,779776,791789,803838,815959,828464,841049,853910,866817,879889,892911,906247,919417,933199,947125,961161,975501,989919,1004326,1019078,1034214,1049359,1064673,1080132,1095746,1111590,1127590,1143933,1160486,1177103,1193758,1210532,1227639,1244998,1262330,1279897,1297606,1315427,1333482,1351764,1370357,1388823,1407314,1425819,1444394,1463464,1482563,1501815,1521412,1540890,1560391,1579994,1599711,1619383,1639508,1659825,1680224,1700358,1720866,1741726,1762492,1783325,1804395,1825822,1847084,1868508,1890086,1912010,1933737,1955617,1977668,2000025,2022371,2044913,2067417,2089893,2113083,2135860,2158800,2182030,2205240,2228759,2252283,2275966,2299631,2323527,2347339,2371267,2395514
1,1,1,2,4,5,6,7,7,8,9,9,9,10,11,12,14,14,15,17,22,24,25,26,29,30,32,37,38,39,39,45,46,51,51,53,55,62,67,71,80,84,90,97,102,106,109,116,120,125,131,136,139,144,151,156,162,170,178,184,194,201,215,224,230,241,249,257,265,275,287,297,306,319,327,339,346,358,367,376,385,397,402,414,427,443,462,471,484,495,506,522,540,566,581,598,617,636,655,677,700,722,742,768,789,809,832,856,884,906,935,957,972,995,1015,1048,1074,1092,1110,1131,1157,1180,1204,1228,1253,1278,1301,1325,1351,1375,1394,1416,1438,1460,1477,1505,1524,1537,1565,1584,1595,1609,1620,1635,1654,1676,1701,1730,1761,1786,1810,1833,1861,1887,1916,1937,1965,1991,2008,2042,2068,2093,2132,2166,2191,2224,2254,2295,2335,2372,2404,2434,2465,2492,2521,2551,2577,2607,2632,2670,2706,2751,2788,2829,2868,2914,2958,3002,3065,3100,3161,3211,3264,3318,3388,3458,3503,3558,3614,3672,3737,3794,3865,3931,3992,4049,4128,4190,4255,4330,4389,4446,4494,4554,4606,4659,4704,4755,4809,4867,4925,4983,5047,5086,5131,5179,5237,5299,5366,5429,5482,5546,5605,5669,5750,5810,5867,5920,5973,6034,6073,6128,6180,6236,6296,6358,6409,6449,6502,6546,6598,6674,6750,6817,6875,6943,7027,7084,7163,7238,7317,7400,7491,7613,7720,7827,7934,8043,8150,8257,8375,8486,8628,8753,8894,9005,9142,9271,9399,9540,9659,9794,9926,10063,10198,10335,10469,10604,10737,10901,11032,11194,11343,11518,11699,11876,12071,12236,12417,12614,12789,13004,13196,13397,13613,13810,14026,14237,14470,14732,14976,15218,15499,15768,16079,16392,16743,17076,17436,17823,18226,18635,19015,19451,19908,20359,20815,21273,21687,22178,22635,23161,23701,24197,24718,25206,25713,26239,26778,27310,27810,28339,28867,29401,29941,30488,31018,31546,32108,32678,33256,33811,34391,34983,35563,36121,36718,37316,37956,38556,39205,39819,40416,41056,41666,42319,42927,43531,44162,44799,45463,46092,46760,47456,48130,48824,49573,50323,51036,51838,52665,53454,54312,55165,56093,57005,57955,58959,59982,61015,62009,63034,64100,65230,66393,67553,68665,69807,70961,72146,73333,74574,75822,77186,78526,79865,81223,82599,84022,85470,86914,88406,89882,91331,92829,94391,95903,97472,99065,100723,102404,104091,105809,107514,109261,111044,112908,114743,116575,118465,120412,122377,124268,126276,128308,130509,132684,134876,137028,139358,141588,143956,146264,148574,150924,153314,155676,158126,160508,163005,165477,168009,170608,173181,175941,178692,181425,184214,187134,190094,193067,196060,199151,202263,205469,208773,212162,215576,219109,222723,226403,230249,234125,238147,242274,246401,250637,254877,259189,263598,268108,272713,277404,282247,287070,292087,297034,302197,307413,312804,318196,323684,329482,335251,341212,347120,353207
1,1,1,1,1,3,5,5,7,9,9,11,12,12,13,13,14,18,18,19,21,25,30,34,34,35,37,37,37,39,43,45,49,55,59,62,67,70,71,74,77,80,83,85,88,90,93,98,99,105,107,111,116,120,122,125,131,131,138,142,144,147,148,153,159,161,164,168,174,178,185,188,195,207,215,225,239,251,260,274,291,307,329,344,363,371,391,410,429,453,483,508,545,586,612,638,666,696,729,758,805,849,877,909,938,961,1001,1025,1057,1087,1117,1140,1172,1200,1239,1263,1289,1318,1340,1369,1389,1410,1432,1466,1491,1516,1545,1573,1595,1618,1639,1665,1695,1719,1759,1794,1824,1862,1896,1924,1961,1991,2025,2060,2089,2115,2144,2177,2214,2246,2289,2318,2349,2382,2415,2442,2461,2488,2525,2555,2582,2613,2646,2678,2708,2734,2762,2794,2833,2860,2899,2933,2958,2986,3017,3042,3067,3089,3109,3124,3147,3184,3212,3242,3266,3293,3315,3335,3359,3381,3413,3436,3462,3485,3504,3519,3538,3566,3586,3627,3661,3689,3718,3785,3834,3900,3950,4018,4107,4198,4284,4370,4467,4575,4687,4793,4900,4998,5108,5224,5326,5452,5553,5650,5749,5846,5969,6086,6222,6347,6494,6638,6794,6937,7094,7218,7402,7571,7742,7932,8093,8266,8463,8657,8836,9034,9204,9371,9527,9690,9850,10020,10185,10368,10546,10727,10930,11134,11350,11568,11752,11962,12152,12343,12565,12767,12940,13139,13324,13520,13739,13959,14196,14452,14688,14928,15184,15451,15688,15965,16252,16511,16763,17016,17231,17478,17726,17980,18202,18434,18698,18927,19169,19417,19654,19928,20232,20530,20812,21139,21456,21810,22118,22455,22795,23148,23532,23868,24260,24641,25031,25455,25906,26352,26767,27176,27606,28088,28571,29100,29649,30167,30701,31238,31780,32346,32931,33479,34035,34604,35146,35725,36346,36970,37586,38181,38799,39467,40126,40772,41429,42071,42745,43473,44104,44814,45498,46228,46966,47711,48509,49362,50232,51050,51896,52812,53801,54809,55916,56977,58055,59141,60302,61476,62678,63894,65111,66407,67711,69024,70338,71774,73160,74576,76050,77510,78959,80502,82018,83605,85202,86819,88415,90068,91799,93529,95195,96937,98728,100599,102389,104237,106055,107973,109862,111796,113704,115749,117753,119765,121803,123878,126016,128208,130367,132503,134713,136917,139259,141529,143835,146189,148735,151263,153885,156436,159029,161641,164437,167235,170078,172958,175771,178711,181609,184534,187635,190704,193704,196810,200118,203427,206786,210186,213625,217013,220625,224228,228007,231897,235890,239890,243880,248056,252127,256369,260663,265185,269640,274251,279033,283708,288604,293387,298457,303572,308638,313781,319071,324437,329929,335526,341194,347140,352882,358851,365086,371291,377601,384151,390722,397476,404341,411397,418575,425731,433098,440571,448195,455851,463550,471394,479354,487351,495455,503840,512361,520909,529634,538281,547091,556127,565198,574174,583412,592843,602288
1,1,1,3,3,4,7,7,7,8,9,9,10,10,10,12,14,17,22,23,24,24,24,24,26,27,27,29,31,34,36,45,47,52,58,63,67,69,70,71,75,81,85,94,94,95,97,100,107,110,115,120,127,130,133,134,139,146,157,163,170,174,176,176,182,186,188,192,200,209,213,219,224,235,245,254,264,273,280,292,300,310,317,328,338,350,372,390,404,412,421,438,451,463,475,487,494,504,517,542,564,587,591,607,620,630,645,661,681,698,709,722,736,756,770,781,802,818,836,851,862,889,913,936,957,972,984,1006,1031,1049,1060,1079,1093,1115,1126,1138,1155,1180,1199,1219,1243,1267,1284,1308,1327,1353,1377,1395,1409,1428,1446,1460,1484,1502,1514,1529,1550,1575,1592,1613,1634,1652,1665,1686,1705,1727,1747,1781,1813,1838,1858,1888,1916,1944,1969,1991,2030,2060,2086,2128,2165,2196,2244,2270,2296,2323,2357,2399,2450,2480,2519,2583,2622,2665,2707,2747,2794,2833,2870,2910,2950,2993,3036,3075,3115,3156,3208,3245,3287,3327,3361,3414,3462,3520,3571,3629,3691,3751,3823,3918,4027,4151,4263,4413,4546,4696,4853,5001,5143,5271,5404,5510,5641,5749,5867,5992,6094,6209,6322,6439,6560,6697,6826,6956,7105,7233,7402,7596,7757,7910,8095,8295,8496,8671,8842,9046,9220,9402,9587,9791,9987,10180,10383,10596,10849,11095,11334,11580,11820,12075,12308,12551,12819,13049,13261,13492,13702,13929,14107,14311,14536,14760,14963,15162,15352,15552,15746,15952,16134,16324,16539,16756,16965,17184,17428,17661,17902,18133,18373,18612,18834,19089,19346,19604,19847,20106,20353,20599,20897,21188,21517,21813,22136,22461,22774,23108,23428,23748,24113,24485,24844,25229,25604,26041,26412,26833,27235,27604,27975,28365,28798,29208,29624,30102,30551,31021,31477,31914,32424,32927,33458,34047,34622,35222,35820,36485,37137,37779,38491,39217,39951,40736,41538,42333,43140,43945,44765,45604,46535,47442,48332,49317,50315,51262,52278,53351,54497,55646,56743,57907,59117,60294,61577,62813,64143,65463,66796,68193,69605,71058,72508,74049,75589,77128,78779,80319,81987,83684,85451,87276,89077,90900,92802,94773,96740,98793,100725,102837,104958,107159,109369,111647,113992,116499,118986,121541,124120,126701,129391,132190,135045,138034,140946,143915,146877,149924,153000,156057,159261,162502,165834,169097,172431,175794,179303,182869,186565,190309,194128,198081,201883,205908,210071,214298,218601,222870,227126,231553,235909,240459,245123,249781,254528,259107,263762,268567,273576,278637,283715,288691,293797,299095,304450,309723,315026,320488,326097,331710,337369,343123,349146,354911,361090,367233,373333,379679,386056,392599,399089,405759,412345,419165,426250,433377,440571,448161,455592,463238,471172,479212,487465,495872,504326,512794,521529,530150,539175,548585,557704,566876,576189,585668,595253,604985,615018,624849,634926
1,1,1,1,1,1,3,5,6,8,9,11,12,16,18,26,29,31,33,34,40,42,48,55,56,63,68,75,81,88,92,100,105,112,113,115,124,129,134,140,146,151,156,158,165,173,177,184,191,201,204,211,215,226,235,242,260,271,283,296,304,320,336,349,358,377,395,414,428,452,471,497,516,533,557,580,604,625,644,663,683,702,718,737,757,785,813,841,865,888,906,932,959,978,1001,1025,1063,1083,1101,1123,1143,1177,1205,1228,1243,1272,1297,1321,1347,1361,1380,1407,1432,1461,1484,1502,1530,1549,1585,1604,1630,1650,1671,1687,1708,1732,1751,1766,1784,1810,1829,1847,1867,1884,1905,1930,1958,1975,2003,2033,2060,2098,2135,2177,2220,2253,2315,2380,2439,2491,2562,2638,2720,2803,2906,2996,3094,3172,3263,3336,3422,3514,3608,3692,3793,3881,3958,4046,4124,4196,4265,4364,4457,4525,4603,4687,4777,4865,4941,5032,5133,5222,5313,5419,5520,5593,5717,5810,5923,6016,6123,6240,6346,6459,6585,6709,6826,6957,7082,7201,7343,7467,7593,7758,7914,8058,8210,8361,8515,8698,8876,9057,9221,9398,9577,9775,9997,10196,10389,10584,10811,11021,11256,11491,11727,11991,12213,12429,12660,12907,13175,13423,13724,13998,14284,14559,14869,15188,15466,15791,16113,16425,16781,17162,17532,17910,18271,18680,19084,19498,19924,20371,20794,21244,21687,22170,22657,23217,23734,24291,24864,25431,26065,26670,27324,28008,28718,29447,30199,30907,31677,32531,33297,34054,34887,35673,36530,37366,38160,39031,39889,40794,41621,42484,43371,44249,45177,46091,47066,48011,48988,49960,50975,52013,53112,54205,55263,56295,57340,58412,59530,60619,61784,62950,64196,65440,66682,67925,69125,70389,71699,73022,74341,75659,77041,78455,79833,81331,82906,84401,85955,87632,89372,91058,92801,94480,96321,98159,100057,101891,103751,105670,107711,109745,111740,113872,115980,118239,120549,122793,125094,127475,129979,132453,135057,137595,140270,143063,145882,148755,151756,154789,157744,160753,163918,167122,170209,173524,176891,180356,183802,187375,191016,194756,198642,202500,206426,210506,214618,218726,222969,227425,231699,236024,240630,245126,249841,254575,259457,264343,269269,274287,279364,284606,289997,295531,301049,306769,312511,318476,324521,330610,336696,342931,349410,355860,362474,369112,375881,382808,389754,396842,404097,411489,418892,426586,434375,442363,450254,458275,466617,475083,483606,492121,500984,510025,519024,528294,537595,546994,556825,566652,576605,586775,597104,607501,618462,629550,640617,652054,663350,675094,686799,698768,711196,723494,736025,748780,761773,774847,788319,801768,815562,829351,843236,857517,872106,886653,901589,916642,931923,947049,962439,977845,993383,1009220,1025088,1040879,1057366,1073817,1090289,1106972,1123803,1140877,1157913,1175180,1192573,1210148,1227788,1245400,1263110,1281128,1299171,1317474,1335811,1354532,1373351,1392279,1411032,1430302,1449341,1468946,1488503,1508442,1528555,1548694,1568991,1589181,1609469,1629862,1650625,1671469,1692472,1713450,1734582,1755692,1777110
1,1,1,1,1,1,1,1,1,1,2,2,2,3,5,6,8,8,10,10,11,11,12,13,16,20,24,27,28,35,37,40,45,46,51,54,54,55,55,60,63,66,70,72,78,80,81,84,87,95,98,100,103,108,112,114,121,125,134,136,141,146,152,158,160,163,166,169,171,176,179,183,186,187,192,196,202,206,208,211,212,217,223,226,229,233,240,247,251,255,260,267,274,285,293,298,307,313,320,330,337,349,356,361,372,378,382,394,402,411,420,432,439,452,457,466,475,491,507,527,534,539,545,550,558,567,578,589,599,609,619,624,634,646,655,660,668,682,694,704,712,724,731,744,749,754,760,774,779,786,789,798,810,819,826,835,842,850,863,871,880,886,891,898,904,918,927,937,944,948,954,967,973,986,993,1001,1010,1013,1019,1023,1030,1036,1044,1052,1062,1067,1073,1083,1088,1093,1107,1112,1119,1122,1127,1136,1145,1154,1162,1177,1196,1207,1222,1234,1241,1250,1268,1283,1298,1313,1342,1363,1384,1400,1421,1441,1463,1475,1502,1529,1550,1572,1591,1613,1637,1656,1682,1706,1739,1765,1787,1822,1846,1878,1910,1928,1955,1981,2015,2057,2090,2124,2165,2209,2253,2285,2320,2351,2386,2428,2465,2506,2555,2594,2645,2692,2737,2799,2846,2894,2949,3007,3050,3111,3163,3225,3273,3332,3393,3454,3507,3576,3636,3692,3775,3860,3929,4000,4083,4169,4246,4334,4414,4514,4601,4698,4775,4881,4992,5111,5210,5308,5423,5539,5662,5783,5898,6025,6152,6258,6369,6495,6617,6765,6900,7072,7230,7376,7527,7704,7858,8027,8219,8403,8589,8787,8993,9208,9413,9623,9850,10116,10373,10602,10891,11171,11433,11726,11999,12286,12553,12842,13142,13465,13783,14120,14463,14812,15149,15487,15823,16220,16592,16941,17339,17722,18160,18570,18986,19437,19891,20324,20793,21256,21764,22251,22737,23204,23729,24200,24683,25204,25737,26260,26839,27414,27955,28564,29159,29769,30413,31057,31673,32280,32854,33507,34140,34753,35400,36009,36664,37350,38093,38832,39539,40250,40988,41743,42489,43286,44094,44852,45653,46502,47337,48227,49171,50114,51059,52076,53169,54200,55274,56426,57538,58662,59816,60984,62228,63432,64656,65988,67315,68641,70011,71320,72704,74086,75557,76978,78509,80021,81572,83161,84697,86321,87938,89620,91400,93074,94861,96607,98402,100267,102163,104040,106003,107996,110019,112078,114210,116379,118650,120950,123239,125547,127911,130395,132812,135371,138014,140645,143316,146103,148925,151792,154749,157743,160837,163944,167185,170363,173601,177004,180538,183880,187553,191256,194981,198778,202824,206750,210706,214970,219193,223519,227818,232271,236823,241353,246048,250833,255766,260617,265636,270737,275949,281316,286878,292322,297679,303218,308973,314842,320736,326681,332740
1,1,1,1,2,2,4,4,5,6,6,7,7,7,7,9,10,10,11,12,13,14,16,18,24,25,26,27,28,32,36,39,44,48,53,54,55,56,57,63,66,69,73,81,91,97,103,107,109,116,120,124,126,131,135,140,144,148,151,155,162,163,169,169,171,176,181,183,188,191,193,195,198,204,209,211,215,221,223,226,230,234,240,245,250,255,259,266,270,275,283,288,294,300,303,306,314,322,329,334,339,347,354,357,360,361,366,372,379,381,387,390,393,397,401,403,408,409,411,417,419,424,427,436,443,450,455,462,467,470,476,480,486,496,504,508,516,522,528,539,542,548,561,568,574,578,588,591,597,604,608,615,622,626,628,633,642,650,656,663,670,671,681,691,702,715,730,743,749,768,783,796,814,836,860,872,889,912,931,945,962,981,997,1015,1039,1059,1079,1096,1117,1128,1144,1156,1176,1192,1211,1236,1253,1276,1299,1315,1332,1348,1364,1387,1408,1423,1442,1465,1481,1505,1524,1541,1564,1578,1596,1612,1623,1633,1654,1671,1689,1711,1721,1734,1751,1760,1774,1786,1794,1809,1826,1847,1863,1872,1883,1896,1911,1928,1946,1963,1974,1995,2013,2036,2050,2074,2098,2122,2147,2169,2197,2227,2260,2291,2339,2365,2399,2429,2465,2505,2544,2580,2615,2652,2696,2751,2804,2854,2905,2949,3001,3038,3088,3150,3205,3270,3333,3405,3472,3543,3609,3672,3757,3834,3898,3976,4062,4154,4239,4316,4418,4512,4602,4712,4825,4935,5056,5178,5292,5427,5564,5674,5800,5934,6059,6182,6315,6463,6586,6711,6848,6979,7115,7257,7415,7552,7728,7884,8023,8172,8348,8513,8714,8875,9039,9204,9374,9546,9767,9955,10159,10356,10591,10821,11054,11267,11516,11772,12020,12297,12561,12844,13097,13379,13714,14006,14357,14667,14985,15314,15685,16007,16377,16764,17156,17543,17940,18356,18779,19182,19592,20059,20529,20960,21411,21881,22394,22900,23453,23997,24538,25107,25701,26319,26961,27603,28257,28986,29659,30385,31114,31881,32692,33514,34342,35179,36058,36942,37874,38837,39861,40913,41947,43004,44069,45220,46260,47420,48533,49741,50957,52131,53345,54536,55702,56898,58111,59293,60522,61797,63093,64408,65743,67114,68440,69857,71306,72765,74195,75738,77354,78882,80490,82119,83794,85488,87222,89002,90728,92481,94212,96003,97823,99706,101613,103466,105372,107324,109320,111280,113217,115325,117428,119581,121826,124130,126403,128762,131057,133386,135777,138286,140747,143245,145853,148391,150977,153523,156046,158620,161224,163889,166472,169174,171978,174726,177582,180446,183331,186206,189201,192243,195186,198278,201498,204734,207983,211421,214964,218529,222225,225749,229395,233201,236986,240855,244878,248913,252957,257199,261484,265920,270351,274925,279442,284025,288727
1,1,1,1,1,1,1,2,2,4,4,6,9,13,14,18,18,18,18,20,20,20,20,20,22,22,22,22,23,25,28,28,31,31,31,32,32,32,34,35,38,39,42,44,45,46,47,49,52,54,58,60,62,66,72,76,80,82,89,91,95,99,100,106,108,111,118,122,127,129,135,139,144,148,150,155,158,160,163,167,169,173,175,176,181,185,187,190,194,203,210,212,214,217,221,224,228,229,231,234,241,245,249,254,258,264,276,282,288,295,307,314,325,335,348,352,358,367,374,387,397,412,425,438,451,464,486,504,514,532,542,560,575,596,617,629,649,667,696,715,738,767,799,842,866,898,922,948,973,1012,1046,1078,1110,1140,1162,1195,1228,1261,1296,1333,1353,1376,1403,1434,1471,1503,1527,1552,1582,1617,1650,1693,1733,1775,1805,1841,1878,1912,1961,2000,2052,2112,2175,2238,2301,2357,2410,2481,2550,2629,2711,2796,2857,2941,3021,3101,3183,3260,3352,3421,3506,3599,3702,3779,3878,3997,4093,4176,4278,4394,4513,4631,4748,4874,5018,5142,5279,5424,5557,5706,5857,6013,6191,6360,6539,6720,6894,7066,7268,7486,7685,7882,8090,8299,8542,8775,9030,9288,9567,9841,10094,10365,10627,10937,11223,11513,11801,12086,12382,12686,12987,13319,13638,13977,14293,14624,14974,15350,15742,16125,16527,16910,17317,17739,18149,18565,19023,19452,19917,20372,20853,21288,21787,22209,22684,23211,23662,24127,24591,25151,25673,26190,26692,27208,27809,28359,28913,29460,29953,30523,31144,31746,32348,32960,33563,34210,34836,35450,36055,36692,37289,37952,38620,39269,39935,40662,41377,42095,42802,43579,44349,45139,45844,46678,47491,48397,49321,50199,51219,52228,53320,54369,55480,56595,57759,59008,60272,61483,62791,64067,65397,66698,68022,69359,70733,72093,73523,74972,76438,77934,79403,80916,82506,84108,85695,87315,88946,90592,92383,94106,95757,97544,99295,101104,102883,104708,106643,108522,110467,112413,114368,116334,118355,120319,122396,124546,126710,128844,130963,133197,135436,137813,140198,142602,145005,147536,150093,152693,155296,158006,160863,163693,166612,169503,172391,175426,178513,181680,184841,188094,191443,194680,198137,201552,205038,208605,212279,216117,220057,223958,227978,232168,236550,240897,245266,249864,254449,259037,263635,268362,273312,278173,283069,288193,293263,298410,303619,309187,314699,320296,326087,331685,337484,343411,349294,355439,361564,367963,374358,381033,387732,394377,401273,408261,415172,422315,429637,436875,444285,451824,459443,467175,475073,482929,491087,499291,507808,516346,524944,533725,542682,551832,561113,570611,580105,589769,599752,609704,619937,630224,640841,651627,662533,673628,684568,695822,707621,719479,731523,743709,756291,768916,781777,794709,807690,821075,834344,847749,861425,875198,889070,903162,917289,932011,946611,961261,976258,991506,1006646,1022060,1037615,1053357,1069147,1084883,1100823,1117106,1133376
1,1,1,1,1,1,2,2,3,5,5,6,7,8,9,12,13,17,21,24,27,32,32,33,38,42,47,54,56,58,61,65,71,75,79,83,90,97,102,106,107,112,116,120,124,128,133,141,143,149,154,158,162,167,170,176,180,185,189,193,197,207,213,221,228,235,242,246,251,256,269,284,291,298,307,316,328,339,346,353,369,378,389,398,413,422,434,444,453,459,471,484,496,508,522,536,551,564,568,579,586,593,611,629,637,649,664,668,684,690,707,721,735,748,764,776,791,807,822,844,858,877,898,924,944,967,998,1012,1034,1059,1073,1089,1110,1132,1155,1175,1205,1229,1250,1268,1287,1308,1326,1336,1354,1374,1391,1406,1425,1445,1471,1495,1513,1532,1556,1576,1592,1610,1635,1655,1679,1700,1717,1733,1750,1776,1791,1809,1829,1850,1872,1893,1911,1928,1950,1969,1989,2001,2023,2042,2067,2089,2106,2127,2147,2163,2183,2207,2229,2248,2273,2290,2308,2334,2355,2379,2402,2422,2442,2462,2486,2509,2525,2555,2578,2603,2632,2655,2680,2706,2738,2768,2800,2821,2855,2881,2904,2928,2959,2983,3017,3052,3079,3117,3148,3177,3210,3235,3260,3285,3318,3354,3383,3407,3444,3477,3495,3519,3545,3572,3605,3639,3670,3716,3745,3777,3805,3843,3880,3913,3943,3979,4010,4038,4067,4097,4148,4180,4215,4251,4293,4330,4365,4397,4437,4473,4515,4557,4596,4648,4684,4726,4767,4813,4848,4892,4927,4973,5024,5060,5102,5143,5189,5232,5286,5333,5392,5441,5495,5528,5572,5623,5691,5750,5815,5873,5929,5993,6064,6124,6175,6236,6299,6365,6425,6491,6554,6614,6674,6735,6805,6873,6942,7027,7112,7193,7267,7331,7428,7507,7586,7646,7742,7839,7926,8007,8097,8193,8287,8370,8463,8543,8635,8743,8846,8947,9067,9155,9262,9363,9473,9571,9666,9776,9890,9986,10100,10223,10330,10456,10545,10656,10773,10881,11000,11120,11229,11357,11481,11597,11723,11841,11961,12088,12237,12383,12522,12670,12811,12932,13055,13186,13315,13477,13652,13804,13984,14158,14346,14521,14706,14891,15079,15271,15483,15666,15864,16049,16257,16444,16661,16878,17110,17343,17597,17834,18081,18356,18617,18933,19209,19463,19763,20071,20387,20703,21000,21343,21674,22053,22402,22760,23124,23453,23803,24153,24493,24858,25232,25597,25980,26383,26795,27204,27642,28063,28490,28957,29413,29939,30415,30904,31457,32000,32557,33121,33655,34201,34807,35480,36099,36748,37415,38083,38798,39510,40289,41127,41933,42769,43675,44574,45483,46438,47480,48544,49633,50748,51912,53098,54311,55515,56789,58039,59353,60593,61869,63169,64555,65995,67430,68847,70245,71730,73245,74782,76275,77854,79479,81043,82785,84500,86294,88128,90012,91935,93910,95989,98041,100168,102323,104504,106705,109021,111432,113875,116349
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1,1,1,1,1,1,1,2,3,4,5,8,8,8,9,9,9,10,11,14,17,17,17,19,19,19,20,20,22,24,27,28,32,35,36,39,41,41,50,54,57,62,67,72,76,81,88,94,96,100,105,110,117,119,123,128,140,145,158,161,171,183,195,224,258,294,329,376,435,480,526,569,618,678,750,794,845,903,964,1017,1062,1133,1194,1242,1298,1354,1404,1457,1515,1571,1634,1694,1744,1789,1831,1895,1970,2031,2085,2145,2232,2332,2402,2490,2584,2679,2777,2857,2965,3050,3167,3267,3355,3457,3550,3661,3773,3876,3988,4073,4169,4254,4355,4466,4558,4662,4747,4863,4982,5081,5190,5308,5429,5523,5626,5761,5876,6006,6143,6283,6405,6563,6695,6869,7028,7198,7356,7535,7720,7880,8053,8261,8452,8641,8815,9002,9189,9392,9575,9777,9999,10207,10433,10620,10830,11072,11319,11611,11844,12112,12364,12605,12850,13104,13396,13703,13979,14299,14581,14892,15234,15548,15877,16224,16553,16874,17240,17606,17973,18362,18751,19165,19565,19986,20427,20878,21360,21833,22336,22813,23332,23842,24362,24920,25514,26057,26630,27259,27860,28454,29118,29734,30457,31205,31929,32723,33530,34343,35208,36134,37009,37855,38845,39805,40756,41726,42755,43827,44890,46046,47152,48279,49452,50617,51800,53042,54222,55494,56753,58009,59315,60600,61903,63323,64740,66138,67613,69074,70588,72164,73729,75258,76892,78572,80312,82041,83793,85526,87329,89205,91087,93036,95044,97083,99182,101266,103397,105514,107760,110078,112431,114890,117326,119783,122347,124947,127615,130453,133167,135984,138804,141754,144704,147691,150716,153902,157029,160097,163253,166568,169950,173328,176669,180271,183816,187426,191114,194873,198693,202675,206673,210774,215139,219730,224131,228660,233344,238015,242796,247824,252825,257918,263084,268281,273627,279145,284827,290290,296011,301750,307577,313467,319595,325757,331859,338068,344309,350734,357270,363898,370463,377172,384101,391126,398125,405360,412648,419845,427215,434782,442335,450064,457877,465824,473829,482021,490354,498703,507261,515857,524541,533393,542221,551345,560382,569667,579027,588673,598307,608102,617891,627966,638157,648479,658845,669506,680298,691319,702517,713787,725141,736620,748333,760233,772337,784551,796974,809564,822363,834935,847854,860900,873942,887107,900482,913952,927675,941423,955220,969272,983507,997719,1012018,1026547,1041068,1055970,1070889,1086027,1101176,1116515,1132136,1147690,1163525,1179425,1195305,1211431,1227885,1244204,1260723,1277493,1294182,1311252,1328349,1345612,1362971,1380423,1398107,1415759,1433504,1451743,1469745,1487810,1506408,1524886,1543568,1562588,1581357,1600551,1619813,1639219,1658901,1678711,1698355,1718310,1738296,1758611,1778851,1799289,1819622,1840257,1860938,1881727,1902683,1923735,1944875,1966239,1987716,2009542,2031346,2053341,2075452,2097679,2120277,2142897,2165517,2188447,2211851,2235265,2259139,2282950,2306566,2330521,2354633,2378847,2402949,2426892,2451458,2476015,2500476,2525187,2549578,2574338,2598804,2623712,2648650,2673537,2698634,2723865,2748960,2774267,2799899,2824906,2850609,2876104,2901888,2927411,2953286,2978875,3004703,3030682,3056805,3082710,3109153,3135681,3162044,3188462,3214844
1,1,1,1,1,1,2,2,3,3,3,3,5,5,5,5,5,5,5,5,5,5,5,5,7,8,11,14,14,15,15,17,19,19,22,24,24,24,27,30,31,32,33,35,36,37,38,40,43,46,48,50,55,57,60,64,66,69,72,75,79,81,83,86,95,104,109,114,119,123,131,138,142,148,152,156,164,168,174,180,189,192,199,213,225,242,247,255,269,285,296,308,318,326,333,345,358,376,395,417,437,452,477,501,512,533,548,564,586,615,637,664,688,710,734,755,783,815,853,887,917,946,972,1005,1032,1050,1083,1116,1157,1182,1212,1249,1276,1305,1333,1362,1389,1419,1461,1487,1517,1558,1599,1629,1667,1710,1736,1771,1803,1839,1877,1916,1957,2011,2049,2095,2153,2201,2258,2317,2366,2424,2476,2544,2620,2682,2744,2813,2896,2994,3080,3160,3248,3342,3444,3524,3626,3733,3832,3960,4075,4209,4331,4479,4614,4766,4902,5004,5135,5261,5444,5615,5767,5921,6101,6269,6439,6633,6838,7014,7202,7404,7581,7790,8015,8246,8485,8704,8935,9180,9417,9695,9968,10229,10474,10763,11017,11291,11549,11834,12119,12379,12664,12961,13248,13525,13805,14096,14393,14676,14974,15287,15604,15919,16300,16683,17041,17408,17775,18166,18586,18997,19444,19914,20391,20842,21268,21717,22206,22739,23222,23761,24311,24929,25533,26106,26686,27242,27829,28465,29095,29710,30384,31066,31745,32518,33249,33988,34760,35553,36381,37160,37983,38807,39607,40430,41271,42156,43022,43963,44896,45816,46763,47785,48785,49859,50985,52065,53156,54384,55573,56779,58041,59237,60484,61791,63083,64449,65810,67114,68444,69897,71240,72625,74058,75528,76980,78400,79908,81316,82766,84237,85654,87127,88606,90116,91648,93223,94835,96352,97959,99604,101212,102785,104427,106112,107714,109452,111145,112985,114864,116763,118720,120614,122632,124734,126784,128892,130991,133169,135369,137668,139963,142352,144802,147199,149693,152156,154736,157413,160223,162968,165807,168654,171700,174718,177735,180882,183946,187089,190257,193474,196854,200098,203582,207234,210842,214577,218273,222052,225938,229851,233881,238096,242213,246572,250993,255604,260237,264816,269477,274180,278878,283798,288901,293889,298995,304160,309475,314704,320140,325655,331295,337025,342706,348470,354453,360345,366435,372546,378769,385128,391329,397668,404329,410914,417531,424273,431193,438267,445521,452726,459779,467177,474727,482378,490020,497817,505776,513845,521989,530327,538481,546967,555520,564209,572990,582251,591580,600914,610323,619672,629491,639392,649262,659264,669616,680172,690612,701091,711829,722746,733790,745006,756427,768016,780210,792443,804317,816559,829012,841527,854141,867080,880317,893573,907054,920816,934606,948518,962604,976965,991384,1006028,1020964,1036203,1051426,1066908,1082488,1098282,1114202,1130382,1146735,1163196,1179910,1196774,1213895,1231221,1248693,1266088,1283777,1301798,1319982,1338221,1356394,1375034,1393742,1412425,1431323,1450232,1469481,1488771,1508183,1527742,1547414,1567135,1586944
1,1,1,1,3,3,4,4,4,6,11,11,12,14,15,15,15,16,17,23,23,26,28,30,31,34,41,46,48,51,56,57,62,68,71,77,82,89,92,94,102,106,112,114,117,123,129,137,141,143,148,156,162,166,170,175,180,189,196,199,204,205,209,213,216,223,228,234,239,246,254,260,263,269,274,276,281,287,289,292,297,306,311,317,321,324,329,334,338,344,352,352,355,358,361,365,371,375,375,380,383,387,390,397,400,402,403,408,415,417,421,426,434,437,441,443,446,460,468,472,478,488,491,502,511,515,526,533,546,558,567,577,584,592,602,610,618,630,637,649,657,668,679,700,714,731,741,750,764,770,779,786,795,808,816,824,836,843,850,866,878,893,902,914,923,933,945,958,966,978,984,995,1000,1005,1018,1030,1043,1058,1072,1088,1103,1122,1128,1147,1162,1175,1184,1205,1220,1240,1260,1276,1292,1318,1345,1370,1390,1422,1451,1481,1512,1537,1573,1604,1640,1672,1706,1750,1793,1824,1854,1880,1920,1968,1998,2035,2066,2109,2150,2194,2235,2263,2313,2354,2397,2431,2481,2520,2553,2595,2623,2660,2703,2744,2785,2817,2858,2907,2958,3000,3044,3089,3138,3180,3229,3280,3323,3376,3416,3469,3541,3592,3655,3717,3772,3826,3895,3959,4015,4092,4192,4277,4373,4458,4567,4659,4762,4855,4963,5076,5175,5291,5400,5497,5586,5688,5785,5894,5996,6099,6217,6319,6417,6536,6635,6736,6834,6927,7040,7161,7245,7365,7478,7588,7709,7812,7935,8072,8216,8363,8504,8619,8757,8901,9051,9217,9347,9486,9652,9832,10010,10181,10353,10523,10721,10906,11104,11297,11496,11709,11931,12149,12395,12619,12845,13074,13330,13606,13895,14194,14484,14794,15109,15437,15756,16080,16457,16796,17121,17499,17848,18198,18599,18953,19333,19751,20122,20511,20908,21335,21782,22244,22702,23137,23588,24043,24547,25031,25489,26006,26495,27036,27576,28123,28656,29211,29754,30278,30858,31357,31900,32452,33015,33605,34165,34703,35296,35909,36441,37014,37626,38246,38952,39632,40286,41000,41683,42388,43127,43864,44672,45521,46423,47270,48077,49001,49864,50763,51697,52631,53671,54660,55708,56718,57772,58804,59925,61009,62146,63407,64655,65857,67085,68353,69598,70924,72240,73649,74984,76329,77799,79299,80814,82281,83815,85397,87054,88744,90408,92091,93837,95555,97329,99155,101020,102860,104828,106797,108869,110924,112975,115094,117323,119506,121753,123955,126254,128633,131182,133719,136339,138920,141601,144328,147089,150070,153071,156050,159208,162327,165627,169031,172342,175748,179283,182862,186465,190081,193867,197815,201665,205645,209746,213909,218102,222356,226715,231160,235499,240065,244692,249271,253977,258692,263705,268668,273612,278520,283536,288648,294001,299308,304796,310385,316159,321919,327894
1,1,1,1,3,4,4,5,5,6,7,8,8,8,8,8,8,8,8,8,13,13,14,14,14,15,15,16,16,20,22,23,25,25,26,28,31,32,34,34,38,40,42,44,48,51,54,54,56,58,60,60,61,65,67,70,75,76,76,79,80,82,84,89,92,95,97,99,103,105,111,115,123,125,132,137,139,140,143,147,150,151,153,158,160,163,166,172,179,180,183,184,187,189,193,198,199,203,208,209,214,221,223,224,227,230,234,236,243,245,249,255,261,263,269,273,276,282,292,302,307,315,320,323,329,336,342,345,352,356,363,374,378,384,390,401,410,422,427,439,445,456,465,475,485,498,507,515,524,529,536,556,559,567,573,579,586,589,597,608,619,631,644,655,664,673,686,701,715,724,733,747,763,777,790,798,807,814,828,840,855,866,879,894,909,924,932,940,956,967,978,993,1008,1026,1041,1060,1081,1099,1114,1134,1157,1178,1202,1213,1229,1247,1270,1300,1325,1351,1375,1406,1431,1462,1494,1513,1539,1574,1611,1641,1672,1702,1735,1777,1807,1842,1876,1915,1954,1985,2018,2054,2091,2127,2158,2206,2234,2265,2309,2347,2386,2414,2449,2480,2512,2548,2576,2610,2641,2671,2707,2740,2769,2815,2844,2871,2896,2940,2991,3040,3090,3126,3164,3197,3232,3275,3316,3357,3390,3432,3466,3519,3575,3631,3690,3735,3781,3840,3910,3979,4065,4132,4228,4315,4412,4514,4606,4702,4832,4928,5041,5137,5239,5331,5433,5517,5629,5738,5839,5931,6030,6113,6199,6284,6407,6526,6649,6766,6903,7039,7173,7328,7480,7652,7823,7993,8188,8376,8572,8765,8956,9130,9319,9501,9656,9817,9989,10190,10354,10532,10692,10878,11039,11229,11374,11538,11683,11818,11981,12116,12280,12446,12616,12793,13000,13192,13414,13622,13856,14068,14274,14507,14756,15031,15282,15554,15847,16120,16425,16736,17013,17320,17647,17925,18247,18588,18899,19207,19497,19796,20117,20435,20797,21135,21496,21865,22217,22563,22940,23316,23773,24174,24585,25029,25515,25962,26429,26896,27400,27896,28381,28898,29445,29974,30532,31078,31662,32234,32832,33467,34152,34859,35541,36226,36894,37576,38296,39074,39811,40568,41388,42198,43053,43975,44826,45772,46721,47744,48707,49693,50707,51735,52738,53853,54930,55994,57108,58206,59377,60596,61735,62949,64168,65377,66631,67911,69312,70758,72203,73627,75218,76875,78478,80114,81752,83380,85199,86936,88763,90638,92635,94570,96625,98660,100726,102816,105048,107276,109544,111836,114067,116463,118929,121424,124018,126532,129128,131827,134522,137378,140219,143006,145878,148933,151996,155136,158315,161567,164779,168139,171650,175405,179247,182879,186945,190968,195228,199451,203634,207761,212127,216509,221025,225590,230366,235147,239945
1,1,1,1,2,2,3,3,3,5,5,6,8,8,8,8,8,9,9,10,13,17,18,18,19,22,24,25,27,30,31,33,34,35,38,40,44,44,45,46,49,56,58,61,66,67,77,85,94,102,112,120,128,145,162,177,187,206,220,239,258,275,292,317,328,350,375,387,404,429,453,473,493,511,530,541,564,584,612,633,661,685,712,734,755,782,808,844,873,911,952,994,1044,1096,1149,1193,1255,1312,1368,1421,1490,1549,1612,1673,1726,1806,1872,1934,2001,2068,2129,2174,2245,2314,2372,2445,2517,2614,2707,2780,2859,2939,3036,3106,3200,3304,3394,3501,3611,3724,3836,3952,4065,4180,4351,4451,4570,4691,4810,4946,5080,5217,5359,5493,5618,5755,5890,6020,6175,6338,6457,6590,6735,6863,7006,7152,7307,7465,7596,7740,7900,8069,8265,8466,8647,8833,8990,9171,9378,9604,9824,10031,10245,10479,10718,10925,11160,11459,11722,11978,12241,12538,12851,13148,13457,13764,14099,14421,14792,15131,15524,15870,16280,16691,17083,17504,17915,18318,18731,19206,19638,20056,20477,20921,21381,21869,22336,22836,23350,23877,24402,24931,25513,26051,26623,27190,27753,28279,28884,29449,29996,30549,31160,31754,32337,32925,33601,34244,34868,35508,36166,36847,37574,38283,38995,39780,40550,41317,42106,42899,43764,44571,45421,46308,47209,48035,48911,49792,50705,51568,52516,53418,54398,55378,56366,57370,58359,59404,60500,61579,62699,63766,64858,65988,67123,68386,69600,70821,72051,73318,74629,75968,77398,78719,80168,81646,83011,84422,85909,87374,88874,90352,91878,93380,94988,96580,98284,99972,101604,103308,105028,106728,108578,110347,112231,114099,116056,117996,120050,122015,124070,126253,128435,130581,132825,135147,137469,139878,142282,144668,147092,149700,152278,154846,157432,160067,162730,165568,168449,171276,174135,177064,179979,183004,186016,189101,192216,195433,198666,202048,205354,208673,212164,215653,219151,222728,226313,230028,233723,237479,241377,245214,249156,253275,257427,261631,266011,270493,274972,279647,284430,289213,294077,298990,304184,309280,314508,319838,325395,330983,336626,342456,348383,354411,360669,366802,373017,379346,385865,392357,399003,405702,412501,419349,426186,433335,440602,447816,455138,462735,470241,477915,485528,493442,501542,509765,518073,526690,535461,544209,553166,562139,571296,580706,590433,600236,610148,620278,630336,640631,651027,661654,672330,683228,694288,705390,716983,728391,739998,751906,763971,775752,787688,800050,812627,825285,838259,851081,864181,877420,891140,904861,918714,932820,947108,961527,975854,990316,1004902,1019797,1034966,1049865,1065120,1080642,1096143,1111880,1127996,1144075,1160479,1176978,1193311,1209975,1226736,1243751,1261048,1278206,1295644,1313309,1330852,1348618,1366472,1384521,1402589,1421104,1439836,1458767,1477478,1496368,1515665,1534782,1554118,1573471,1593037,1612550,1632290,1652134,1672127,1692007,1712225,1732520,1752493,1773020,1793444,1814107,1834964,1855790,1876641,1897687,1918585,1939442,1960476,1981811,2003091,2024192,2045749,2067427,2089033,2110828,2132119,2153944,2175721,2197579,2219764,2242182,2264448,2286980,2309636
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1,1,1,1,1,4,4,5,6,6,6,6,8,8,8,9,10,12,14,14,16,17,18,18,19,22,24,27,34,39,42,43,43,44,46,53,60,66,72,81,89,93,99,105,109,116,126,129,136,143,149,157,168,172,184,188,195,201,212,224,231,235,239,243,251,259,270,279,290,295,303,310,319,329,335,341,350,357,362,373,382,394,405,416,430,434,441,452,464,474,491,499,507,516,528,539,555,568,587,611,634,652,671,694,715,741,773,796,818,855,882,905,931,963,992,1037,1070,1111,1151,1194,1225,1264,1310,1341,1381,1440,1482,1543,1589,1634,1675,1708,1752,1807,1858,1913,1953,2003,2061,2125,2201,2280,2364,2459,2552,2623,2712,2817,2915,3046,3174,3299,3413,3535,3650,3784,3889,4022,4124,4247,4367,4463,4576,4660,4773,4874,4980,5091,5198,5310,5436,5578,5680,5795,5895,6003,6100,6223,6335,6447,6547,6652,6749,6846,6953,7054,7140,7251,7370,7497,7601,7713,7826,7931,8044,8155,8237,8340,8449,8537,8645,8737,8834,8936,9041,9145,9255,9361,9468,9583,9696,9823,9952,10078,10205,10343,10494,10614,10764,10907,11047,11214,11379,11577,11749,11975,12210,12407,12631,12890,13162,13443,13702,13968,14214,14503,14776,15043,15332,15653,15940,16263,16542,16859,17199,17556,17962,18342,18766,19141,19509,19900,20319,20746,21187,21597,22106,22569,23036,23505,23994,24444,24920,25442,25959,26477,26986,27536,28117,28633,29225,29837,30509,31144,31816,32489,33194,33904,34616,35323,36031,36800,37546,38259,39023,39849,40649,41452,42278,43147,43989,44899,45837,46761,47699,48650,49692,50784,51840,52970,54098,55281,56418,57610,58822,60028,61207,62449,63672,64882,66099,67358,68584,69809,71107,72504,73844,75222,76626,78103,79565,80974,82528,84092,85624,87255,88921,90699,92479,94313,96163,98143,100114,102121,104138,106198,108178,110265,112418,114509,116654,118926,121178,123498,125783,128156,130528,132971,135430,138021,140598,143414,146096,148935,151831,154775,157780,160830,163871,167064,170284,173478,176778,180201,183654,187131,190571,194177,197806,201319,204927,208578,212250,216119,219992,224006,228068,232034,236086,240102,244250,248493,252820,257321,261979,266712,271398,276367,281335,286466,291520,296781,302242,307923,313683,319520,325470,331388,337433,343612,350037,356514,363124,369852,376680,383473,390539,397737,404887,412313,419586,427149,434799,442445,450252,458338,466421,474482,482760,491332,499816,508606,517572,526658,535862,545001,554214,563575,573023,582693,592665,602625,612670,622857,633406,643946,654662,665376,676253,687249,698335,709835,721317,732888,744637,756679,768876,781034,793502,806213,818970,831653,844580,857848,871111,884869,898445,912014,926002,940091,954333,968505,982836,996997,1011478,1026095,1040983,1056094,1071307,1086753,1102252,1117722,1133685,1149803,1166172,1182626,1199413,1216011,1233143,1250365,1267848,1285522,1303316,1321475,1339729,1357950,1376449,1394736,1413563,1432217,1451282,1470242,1489146,1508253,1527713,1547218,1566580
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1,1,1,1,3,5,6,9,9,9,9,9,10,10,11,12,12,13,14,15,16,18,19,20,22,23,26,28,30,32,33,35,36,39,42,42,44,47,50,54,57,59,61,63,68,73,76,80,83,83,92,96,100,101,107,113,117,122,123,133,141,146,153,157,162,166,171,174,180,183,187,195,199,205,214,222,224,229,237,240,241,243,249,251,256,263,269,277,282,287,291,301,304,314,321,324,334,343,349,358,367,377,384,398,406,421,433,442,449,468,489,506,513,516,526,538,546,560,570,578,590,599,604,611,621,629,642,652,661,668,679,695,709,721,732,742,751,760,768,779,789,799,806,811,821,827,830,839,845,851,858,864,874,879,882,887,893,899,905,911,920,926,930,933,939,944,949,958,964,972,976,982,986,996,1003,1011,1014,1023,1035,1041,1050,1058,1066,1077,1086,1100,1110,1120,1125,1132,1145,1166,1189,1199,1218,1236,1247,1260,1280,1303,1322,1349,1371,1393,1418,1439,1466,1490,1508,1522,1556,1579,1610,1655,1690,1735,1772,1820,1872,1908,1948,1993,2041,2092,2136,2178,2230,2273,2321,2370,2437,2500,2575,2648,2743,2815,2895,2983,3073,3164,3255,3364,3474,3564,3655,3763,3848,3930,4021,4123,4218,4315,4398,4502,4587,4683,4796,4911,5019,5123,5234,5318,5410,5519,5631,5731,5849,5960,6071,6186,6296,6384,6481,6595,6707,6800,6904,7025,7153,7306,7455,7599,7746,7912,8060,8213,8390,8548,8738,8908,9075,9243,9419,9567,9730,9901,10052,10202,10347,10481,10626,10757,10898,11024,11149,11315,11464,11594,11740,11880,12031,12190,12333,12472,12635,12760,12919,13057,13190,13331,13496,13651,13826,13992,14141,14313,14504,14689,14846,15019,15175,15378,15561,15765,15958,16211,16432,16649,16895,17168,17418,17743,18025,18313,18581,18885,19206,19517,19858,20231,20592,20956,21328,21777,22218,22617,23071,23489,23952,24426,24927,25441,25970,26538,27085,27672,28297,28960,29629,30324,31001,31696,32457,33178,33912,34671,35397,36186,36969,37785,38612,39449,40294,41196,42100,42986,43929,44894,45943,46956,47997,49049,50153,51249,52265,53300,54399,55472,56577,57635,58675,59717,60810,61892,62963,64077,65129,66210,67316,68459,69615,70763,71918,73101,74275,75524,76831,78077,79333,80701,82060,83474,84946,86404,87924,89446,91030,92590,94110,95737,97331,98967,100655,102250,103978,105655,107400,109186,111025,112880,114780,116753,118767,120931,123086,125240,127480,129895,132291,134710,137100,139586,142152,144791,147278,149877,152417,154918,157472,160169,162815,165446,168083,170924,173660,176433,179251,182079,185048,188011,190965,194007,196983,200018,203240,206455,209744,213003,216205,219681,223248,226713,230155,233822,237460,241102,244887,248631,252462,256331,260308,264399,268429,272631,276759,281253,285656
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1,1,1,1,1,1,1,2,3,4,5,6,6,6,6,6,7,8,11,12,13,15,17,18,19,21,24,26,29,32,35,35,39,45,50,53,59,66,71,78,82,87,91,93,100,109,117,127,134,146,151,157,165,166,177,190,207,216,225,235,249,265,276,293,313,330,351,372,387,408,442,465,484,503,522,538,561,580,607,631,657,674,703,733,773,805,838,868,892,935,965,1000,1036,1070,1103,1151,1200,1230,1266,1302,1336,1366,1415,1461,1490,1531,1559,1607,1651,1715,1767,1823,1873,1922,1984,2046,2101,2150,2220,2284,2349,2408,2464,2531,2615,2689,2767,2854,2950,3044,3121,3231,3321,3410,3515,3613,3706,3823,3922,4020,4130,4219,4335,4455,4561,4664,4771,4894,5024,5149,5278,5413,5550,5675,5796,5909,6049,6191,6319,6470,6569,6712,6856,6989,7114,7237,7364,7492,7641,7781,7934,8072,8229,8375,8519,8681,8827,8996,9162,9354,9555,9774,9959,10168,10372,10580,10809,11060,11301,11548,11793,12064,12340,12606,12901,13211,13528,13867,14200,14506,14834,15174,15494,15875,16254,16614,16954,17337,17726,18137,18524,18909,19341,19725,20183,20623,21058,21535,22013,22459,22940,23448,23935,24439,24958,25492,26034,26616,27155,27710,28351,28962,29592,30249,30877,31536,32209,32939,33665,34411,35239,35977,36811,37598,38445,39325,40243,41139,42087,43050,44111,45126,46151,47248,48347,49463,50606,51737,52854,54015,55183,56365,57585,58759,60012,61282,62580,63864,65163,66494,67872,69245,70598,71955,73334,74787,76249,77794,79360,80971,82597,84196,85884,87629,89346,91086,92775,94566,96340,98169,100039,101907,103805,105799,107865,110013,112166,114417,116655,119052,121400,123789,126310,128848,131440,134049,136695,139381,142194,145072,147999,150950,153947,156960,160066,163146,166417,169781,173088,176486,180072,183556,187307,191057,194917,198807,202853,206926,211098,215303,219654,224111,228558,233208,237869,242613,247464,252520,257471,262501,267601,272769,278086,283349,288782,294309,299936,305605,311489,317500,323465,329449,335535,341731,348099,354465,361054,367867,374796,381915,389120,396407,403927,411510,419298,427009,434917,442852,450848,458810,467014,475198,483690,492191,500891,509731,518630,527575,536813,546066,555418,565002,574747,584653,594708,604906,615186,625779,636347,646977,657819,669012,680001,691233,702425,713867,725496,737259,749437,761501,774104,786672,799386,812145,825163,838381,851670,865263,878942,892814,906603,920945,935407,949906,964519,979580,994644,1010075,1025504,1041169,1057245,1073180,1089326,1105502,1121762,1138238,1155095,1171940,1189132,1206206,1223522,1240860,1258469,1276343,1294337,1312611,1330949,1349344,1367732,1386069,1404949,1423770,1442232,1461466,1480627,1500048,1519464,1539065,1558894,1578798,1598933,1619254,1639641,1660047,1680748,1701780,1722946,1744254,1765337,1786825,1808457,1829914,1851740,1873502,1895407,1917666,1939993,1962402,1984824,2007529,2030464,2053512,2076517,2099855,2123201,2146603,2170095,2193836,2217749,2241806,2265725,2289874,2314241,2338679,2363025,2387338,2411667,2436440,2460908,2485825,2510680,2535830,2560907,2585870,2611163,2636667,2661873
1,1,1,1,3,3,3,5,7,9,10,10,10,10,11,13,14,16,16,16,18,19,20,24,29,31,32,33,38,42,42,44,47,49,53,55,60,67,71,74,75,76,79,86,92,95,97,99,104,107,112,114,116,120,124,125,126,129,133,135,135,142,143,144,145,147,150,153,159,161,162,164,168,170,171,172,177,180,185,192,195,197,200,205,209,211,218,224,231,235,240,243,244,252,258,264,269,278,284,290,299,304,308,314,324,327,332,336,338,339,344,349,351,359,359,362,366,372,376,377,382,386,389,393,397,400,401,405,409,414,419,423,430,437,438,440,443,447,452,458,458,461,464,465,468,473,476,484,491,499,507,512,516,523,529,537,541,544,547,551,559,565,574,580,589,598,601,605,609,611,620,623,624,633,634,643,645,648,655,658,660,662,668,672,674,676,684,693,698,702,708,714,729,734,741,744,749,755,762,769,773,779,796,809,816,823,829,836,846,854,858,864,871,879,885,895,908,914,918,927,940,946,952,959,967,975,977,986,992,995,999,1004,1005,1008,1010,1016,1021,1029,1035,1038,1042,1049,1055,1059,1064,1069,1073,1075,1081,1087,1090,1098,1104,1109,1120,1126,1133,1137,1150,1155,1161,1169,1176,1185,1200,1209,1214,1224,1238,1250,1263,1271,1282,1291,1298,1315,1329,1337,1349,1352,1361,1371,1375,1388,1396,1407,1417,1426,1434,1442,1449,1462,1464,1474,1481,1488,1499,1510,1518,1523,1532,1537,1541,1547,1552,1556,1559,1569,1572,1580,1584,1585,1590,1598,1601,1605,1609,1614,1619,1620,1625,1631,1632,1635,1639,1642,1645,1650,1650,1653,1660,1665,1667,1671,1674,1676,1678,1682,1682,1691,1692,1699,1706,1714,1718,1722,1726,1731,1735,1738,1739,1745,1747,1754,1758,1763,1769,1779,1788,1792,1802,1809,1817,1824,1835,1848,1865,1878,1887,1912,1928,1944,1958,1980,2002,2018,2037,2049,2068,2093,2108,2126,2152,2167,2187,2199,2218,2245,2266,2292,2324,2356,2378,2401,2423,2448,2480,2509,2543,2570,2612,2647,2688,2725,2780,2828,2872,2931,2991,3059,3116,3186,3263,3350,3434,3503,3581,3664,3725,3805,3881,3942,4038,4113,4220,4313,4406,4509,4606,4711,4815,4920,5035,5147,5264,5359,5459,5581,5705,5831,5969,6116,6261,6403,6552,6695,6863,7021,7155,7308,7492,7705,7879,8089,8298,8481,8669,8892,9069,9282,9504,9738,9958,10190,10440,10674,10926,11174,11436,11659,11922,12165,12420,12660,12899,13161,13440,13723,14018,14311,14639,14982,15316,15648,15991,16343,16687,17036,17386,17766,18142,18500,18862,19251,19634,20016,20376
1,1,2,5,5,5,6,8,10,10,10,13,18,22,29,34,42,44,52,57,65,73,80,88,99,104,116,124,132,148,162,176,194,201,212,230,250,262,278,288,307,318,331,346,361,376,387,399,418,427,449,468,481,493,515,532,546,569,587,606,625,659,686,710,721,735,754,771,793,817,835,844,858,876,905,922,932,952,971,997,1013,1026,1038,1056,1070,1096,1118,1149,1183,1214,1253,1273,1297,1325,1347,1375,1406,1434,1462,1493,1517,1548,1577,1602,1628,1659,1687,1717,1745,1790,1815,1849,1877,1914,1953,1988,2022,2052,2093,2124,2156,2186,2221,2268,2308,2348,2390,2427,2475,2511,2566,2609,2649,2686,2724,2764,2800,2840,2884,2934,2978,3018,3056,3096,3134,3182,3232,3298,3354,3401,3451,3522,3598,3673,3787,3901,4004,4129,4253,4406,4562,4716,4864,5011,5163,5304,5449,5569,5721,5857,6002,6140,6285,6445,6623,6811,6999,7191,7400,7600,7774,7970,8152,8347,8525,8708,8908,9094,9272,9446,9609,9785,9941,10133,10326,10509,10689,10883,11072,11249,11448,11649,11831,12027,12218,12397,12568,12732,12977,13174,13348,13541,13748,13958,14171,14396,14598,14810,15041,15278,15500,15719,15988,16248,16509,16794,17060,17330,17601,17912,18201,18506,18828,19151,19506,19851,20196,20545,20876,21231,21568,21934,22253,22653,23043,23427,23821,24204,24580,24986,25418,25830,26235,26704,27176,27628,28052,28533,28979,29440,29897,30403,30883,31370,31839,32342,32792,33286,33802,34303,34805,35321,35837,36366,36897,37434,37987,38549,39129,39716,40295,40893,41523,42140,42830,43457,44157,44877,45611,46403,47153,47953,48822,49646,50522,51416,52230,53116,53997,54875,55793,56715,57591,58556,59478,60435,61401,62270,63238,64180,65225,66239,67248,68208,69303,70347,71365,72488,73571,74688,75825,77045,78232,79441,80710,81954,83360,84700,86169,87627,89146,90626,92216,93808,95380,96986,98595,100273,101987,103756,105536,107259,109061,110949,112744,114593,116454,118426,120473,122408,124491,126484,128543,130693,132926,135119,137359,139708,142042,144417,146832,149464,152037,154627,157311,160013,162752,165486,168318,171129,174033,176897,179779,182761,185706,188782,191923,195182,198560,201932,205447,208979,212640,216144,219839,223622,227537,231384,235213,239068,243112,247163,251121,255382,259732,264051,268445,272941,277524,282050,286754,291560,296434,301436,306412,311493,316752,322019,327418,332964,338651,344540,350541,356549,362684,368999,375306,381770,388232,394879,401636,408621,415687,422577,429761,437149,444652,452026,459531,467177,474981,482783,490769,498727,506891,515026,523291,531687,540039,548669,557339,566176,575076,584337,593554,603061,612698,622558,632639,642741,652810,663095,673595,684262,694939,705872,716553,727643,738829,750127,761611,773239,785060,796904,808925,820991,833414,846003,858661,871671,884925,897918,911201,924624,938154,952111,966383,980606,994947,1009372,1024331,1039127,1054096,1069125,1084370,1099814,1115383,1131143,1146993,1163214,1179481,1195785,1212379,1228798,1245881,1263002,1280304
1,1,1,2,2,5,6,6,7,7,7,9,10,15,17,18,19,20,20,22,25,31,36,44,45,51,56,60,65,74,75,79,86,91,101,105,108,112,114,120,124,129,135,142,146,150,160,166,173,185,192,201,208,214,221,224,228,239,245,254,261,272,289,300,305,310,318,325,329,338,343,348,357,366,374,384,400,407,414,424,435,442,452,458,468,481,499,512,527,539,552,563,572,589,601,613,631,648,662,685,701,715,734,751,770,786,812,824,848,869,886,906,924,940,964,983,998,1019,1032,1046,1071,1080,1091,1105,1133,1161,1176,1196,1217,1242,1259,1277,1301,1329,1358,1380,1397,1419,1439,1460,1477,1501,1523,1539,1550,1572,1589,1606,1622,1643,1666,1689,1706,1731,1758,1777,1807,1821,1835,1865,1889,1915,1942,1977,2006,2035,2063,2090,2106,2143,2177,2204,2235,2263,2300,2336,2387,2424,2472,2518,2562,2598,2650,2703,2744,2786,2826,2871,2911,2949,2981,3036,3094,3138,3186,3238,3295,3336,3399,3450,3507,3568,3641,3708,3780,3865,3936,4007,4086,4163,4232,4308,4395,4491,4591,4684,4788,4883,4976,5073,5165,5258,5353,5460,5549,5658,5765,5895,6002,6119,6262,6405,6528,6675,6812,6949,7101,7288,7448,7606,7765,7926,8100,8255,8413,8573,8740,8910,9092,9275,9476,9670,9883,10084,10292,10510,10728,10940,11195,11454,11721,11962,12211,12491,12773,13033,13369,13673,14003,14305,14624,14951,15245,15561,15854,16155,16482,16815,17159,17482,17785,18090,18410,18706,19017,19320,19650,19965,20280,20599,20903,21262,21620,21967,22324,22722,23102,23568,23979,24385,24795,25201,25640,26120,26572,27041,27520,27987,28459,28901,29368,29888,30393,30913,31419,31946,32431,32940,33459,33969,34529,35061,35609,36153,36720,37311,37894,38520,39170,39807,40432,41071,41710,42372,43042,43746,44469,45237,46006,46790,47594,48392,49205,50033,50863,51792,52703,53657,54638,55715,56849,57967,59076,60162,61318,62507,63614,64758,66024,67277,68510,69852,71170,72449,73757,75105,76566,77953,79456,81034,82674,84280,85955,87697,89413,91209,93034,94857,96791,98711,100696,102732,104683,106720,108827,110891,113034,115126,117339,119591,121797,124019,126287,128582,131060,133380,135799,138266,140905,143590,146294,149066,151817,154803,157740,160716,163891,167152,170383,173557,176836,180144,183506,186972,190409,193973,197547,201101,204789,208514,212384,216409,220530,224532,228844,233059,237259,241674,246143,250701,255240,259920,264667,269496,274430,279459,284509,289641,295005,300398,305781,311176,316699,322322,328036,333843,339727,345715,351787,357968,364189,370418,376747,383263,389903,396642,403478,410199,417294,424468,431598,438865,446488,454162,461686,469563,477524,485615,493714,502102,510620,519280,527880,536782,545768,554778,564185,573515,582861,592337,602152,612171,622254,632388,642387,652761,663262,674030,684955,695775,706733,718193,729537,741253,753005,765005,776852
1,1,1,1,1,1,1,2,4,4,4,4,5,7,7,7,8,9,10,10,10,11,11,12,14,15,17,20,23,25,27,28,29,31,35,40,46,51,53,57,61,67,71,71,74,82,84,91,94,99,105,110,120,126,133,137,141,152,162,170,177,185,193,205,215,226,237,245,258,268,280,288,302,320,335,340,348,355,364,371,376,382,390,400,408,414,422,431,437,446,450,456,462,470,474,479,483,485,491,495,498,504,506,514,522,527,531,536,540,543,545,553,557,565,567,572,580,582,587,589,596,601,609,612,620,628,629,637,644,648,654,660,669,679,684,689,695,704,713,723,725,730,739,747,758,763,768,771,780,787,796,802,806,811,817,822,824,830,836,841,841,846,850,855,862,865,870,875,879,884,896,903,916,927,940,957,968,973,988,1000,1014,1037,1045,1058,1081,1089,1113,1136,1157,1175,1191,1211,1230,1251,1272,1292,1324,1348,1375,1393,1422,1458,1493,1521,1542,1562,1596,1627,1646,1664,1689,1721,1743,1766,1786,1812,1838,1856,1882,1917,1950,1975,2018,2046,2072,2100,2124,2151,2177,2216,2256,2289,2322,2358,2390,2432,2475,2510,2560,2615,2670,2730,2793,2857,2922,2986,3057,3132,3206,3281,3367,3447,3549,3640,3725,3804,3881,3975,4075,4205,4301,4387,4506,4608,4716,4822,4937,5046,5156,5260,5372,5497,5607,5721,5817,5947,6054,6161,6260,6375,6505,6629,6737,6851,6955,7060,7168,7268,7370,7507,7619,7725,7834,7968,8083,8201,8317,8445,8569,8695,8831,8945,9098,9235,9417,9560,9719,9876,10019,10183,10346,10508,10708,10857,11029,11198,11371,11529,11724,11928,12138,12312,12499,12709,12898,13100,13312,13509,13710,13969,14214,14449,14679,14969,15243,15502,15776,16086,16379,16687,17024,17320,17658,17960,18311,18652,19048,19426,19793,20206,20619,21034,21430,21834,22275,22716,23190,23624,24117,24567,25042,25494,25942,26488,27002,27521,28042,28557,29138,29683,30215,30759,31375,31972,32563,33148,33768,34409,35026,35671,36373,37061,37689,38363,39054,39731,40423,41185,41935,42675,43464,44181,44988,45747,46515,47297,48069,48839,49592,50439,51296,52183,53062,53899,54807,55716,56597,57510,58446,59412,60425,61416,62428,63499,64553,65717,66873,68022,69188,70394,71647,72842,74110,75349,76609,77904,79299,80644,82032,83327,84713,86170,87636,89140,90643,92193,93815,95399,97016,98657,100356,102127,103828,105632,107468,109291,111116,113012,114941,116944,119042,121088,123168,125265,127436,129588,131697,133903,136200,138506,140738,143097,145481,147931,150418,153002,155582,158195,160884,163620,166394,169226,172090,175019,178061,181146,184296,187373,190672,193930,197329,200728,204168,207726,211316,214990,218837,222761,226628,230691,234730,238951,243273,247528,251999,256317,260659
1,1,1,1,3,5,6,7,8,10,12,13,15,17,18,21,24,26,34,37,40,42,44,48,56,61,68,75,79,83,89,92,96,104,108,113,117,122,130,137,148,157,167,174,185,192,200,206,218,223,229,240,243,251,256,263,273,282,287,297,301,313,319,330,337,344,350,364,371,377,386,391,403,416,427,440,455,466,477,498,506,517,536,547,563,576,588,597,608,619,637,647,662,677,689,700,714,723,731,739,750,763,773,786,796,805,819,833,844,851,871,883,891,901,917,931,941,949,958,969,980,991,1000,1008,1015,1028,1034,1051,1059,1062,1073,1081,1087,1092,1099,1115,1121,1126,1135,1146,1161,1165,1170,1177,1182,1192,1194,1202,1215,1226,1234,1248,1263,1271,1285,1297,1309,1320,1330,1356,1373,1395,1409,1424,1442,1466,1483,1503,1532,1565,1599,1620,1637,1665,1694,1724,1746,1773,1793,1826,1853,1889,1917,1956,1988,2018,2052,2078,2109,2133,2163,2198,2216,2248,2281,2311,2344,2369,2404,2421,2455,2491,2522,2557,2607,2653,2691,2735,2776,2814,2849,2892,2929,2967,3021,3070,3116,3163,3213,3255,3302,3360,3403,3458,3517,3553,3601,3646,3716,3763,3804,3860,3917,3974,4027,4082,4149,4206,4259,4316,4368,4430,4483,4545,4594,4648,4696,4746,4803,4880,4936,4996,5056,5101,5169,5226,5292,5339,5410,5485,5562,5624,5705,5781,5868,5949,6024,6106,6167,6255,6329,6400,6471,6544,6619,6690,6764,6846,6920,6996,7065,7142,7231,7303,7381,7452,7545,7605,7671,7749,7818,7891,7965,8039,8121,8206,8288,8373,8448,8537,8641,8729,8800,8893,8984,9074,9165,9258,9343,9429,9521,9617,9719,9860,9992,10156,10311,10488,10647,10843,11033,11236,11431,11639,11861,12078,12286,12534,12768,13034,13248,13480,13707,13944,14160,14429,14707,14993,15295,15589,15906,16227,16540,16851,17192,17557,17906,18265,18594,18931,19272,19640,20050,20458,20874,21305,21718,22151,22610,23017,23482,23949,24462,24955,25411,25838,26315,26775,27187,27663,28194,28667,29149,29643,30138,30664,31173,31688,32232,32772,33320,33919,34543,35129,35803,36454,37102,37779,38480,39192,39941,40681,41432,42208,42989,43752,44561,45406,46315,47234,48146,49069,50065,51074,52122,53059,54085,55146,56221,57345,58429,59540,60690,61855,63057,64260,65503,66778,67967,69291,70582,71862,73210,74528,75935,77401,78883,80398,81892,83343,84776,86293,87803,89350,90964,92546,94161,95762,97405,99000,100680,102373,104116,105936,107771,109579,111419,113208,115140,117056,118885,120748,122728,124713,126705,128736,130927,133083,135212,137388,139639,142048,144415,146851,149374,151937,154492,157130,159883,162618,165383,168117,170977,173981,176940,180005,183025,186162,189226,192424,195716,199171,202627,206109,209617,213199,216871,220523,224326,228173,232101,236056,240140,244255,248469,252740,257097
1,1,1,1,1,3,3,3,3,4,5,8,9,9,9,9,10,10,12,12,14,16,17,18,20,23,24,25,27,31,33,36,37,40,43,49,52,55,62,62,70,71,74,77,83,87,90,97,103,113,121,123,130,135,138,144,147,154,162,167,169,172,177,186,193,196,202,205,210,211,216,218,224,233,235,244,253,265,272,288,302,311,316,327,342,353,365,385,399,413,431,449,472,503,519,545,566,596,616,640,673,716,759,794,828,865,903,940,991,1037,1082,1117,1147,1206,1255,1312,1375,1412,1472,1533,1601,1684,1763,1827,1909,1997,2087,2157,2239,2325,2424,2510,2601,2727,2836,2935,3057,3172,3298,3417,3539,3657,3795,3930,4072,4232,4430,4601,4772,4938,5133,5308,5498,5647,5837,6034,6219,6403,6576,6773,6941,7107,7300,7477,7657,7818,7996,8169,8329,8480,8629,8797,8980,9176,9375,9553,9748,9928,10099,10318,10530,10772,10983,11223,11487,11733,11956,12203,12458,12749,13012,13308,13578,13869,14145,14418,14681,14954,15252,15547,15845,16153,16410,16701,17010,17318,17575,17876,18205,18518,18810,19133,19440,19759,20103,20443,20783,21128,21493,21920,22327,22728,23205,23651,24120,24637,25161,25694,26210,26778,27365,27938,28499,29094,29674,30330,30946,31538,32185,32846,33473,34154,34792,35499,36153,36847,37547,38228,38963,39685,40409,41144,41939,42750,43534,44375,45204,46093,46912,47805,48706,49696,50602,51547,52511,53526,54538,55580,56716,57815,58989,60136,61309,62510,63758,64981,66177,67440,68753,70067,71401,72683,73998,75254,76572,77915,79283,80642,82002,83308,84703,86089,87488,88898,90416,91873,93420,95031,96564,98165,99792,101457,103134,104917,106702,108664,110519,112527,114521,116489,118606,120661,122819,124947,127233,129535,131869,134277,136626,139141,141579,144053,146548,149180,152028,154842,157705,160635,163622,166587,169611,172677,175860,178993,182153,185391,188715,191945,195370,198794,202288,205838,209500,213177,217073,220964,224947,228859,233106,237220,241298,245611,249932,254362,258703,263162,267585,272182,276841,281604,286377,291088,296006,300789,305699,310750,315830,320958,326252,331518,336875,342355,347761,353490,359241,365012,370911,377039,383219,389460,395707,402028,408610,415200,421967,428851,435827,442930,450218,457477,464840,472278,479849,487341,494846,502611,510510,518436,526373,534352,542561,550917,559383,567933,576512,585134,594234,603273,612393,621617,630974,640645,650243,660072,669988,680001,689986,699920,710283,720687,731177,741772,752466,763477,774520,785508,796851,808163,819757,831285,842954,854934,867125,879216,891546,903795,915944,928604,941456,954253,967097,980129,993192,1006739,1020333,1034223,1048172,1062467,1076686,1091249,1106039,1120931,1135627,1150495,1165635,1180949,1196338,1211746,1227179,1242861,1258388,1274062,1290006,1306052,1322199,1338253,1354683,1371135,1387421,1403881,1420594,1437307,1454093,1471102,1488562,1506231,1523879,1541359,1559167,1577085,1595467,1614275,1632999,1651785,1671020,1690072,1709368,1728875,1748544,1768373,1788520,1808595,1828900,1849155,1869464,1890124,1910817
1,1,1,1,1,1,1,2,3,3,4,5,5,5,5,6,7,9,9,11,11,11,11,12,14,14,16,17,18,18,20,20,21,23,26,29,32,34,42,48,54,58,61,68,74,76,82,96,100,106,112,124,130,134,142,151,162,168,182,193,204,218,232,243,257,275,290,305,331,350,371,389,405,420,435,461,479,501,523,546,568,597,620,652,674,701,724,751,772,802,831,853,881,901,921,942,974,1008,1032,1061,1082,1113,1141,1165,1190,1218,1241,1263,1288,1303,1323,1349,1375,1399,1418,1438,1454,1474,1504,1526,1547,1564,1588,1617,1649,1685,1719,1753,1775,1802,1827,1856,1874,1906,1936,1961,2001,2037,2061,2086,2107,2140,2174,2204,2231,2251,2277,2298,2318,2340,2365,2387,2412,2440,2462,2490,2507,2533,2555,2581,2606,2624,2647,2669,2686,2709,2733,2755,2784,2810,2839,2864,2881,2903,2939,2966,2998,3018,3049,3079,3102,3132,3171,3212,3239,3269,3300,3336,3362,3396,3433,3459,3478,3512,3536,3565,3596,3635,3667,3704,3726,3759,3789,3818,3857,3900,3933,3972,4013,4055,4098,4137,4184,4226,4272,4323,4381,4431,4476,4528,4579,4626,4686,4741,4794,4857,4917,4962,5024,5077,5136,5189,5239,5293,5345,5388,5443,5497,5547,5587,5629,5681,5724,5780,5814,5861,5906,5939,5993,6034,6073,6121,6153,6200,6240,6287,6342,6381,6413,6455,6497,6538,6584,6622,6662,6718,6755,6799,6842,6885,6931,6968,7014,7063,7095,7132,7181,7245,7302,7365,7420,7490,7552,7620,7678,7778,7856,7937,8017,8113,8192,8274,8380,8491,8601,8711,8839,8970,9093,9228,9343,9488,9643,9784,9921,10058,10193,10352,10510,10679,10849,11062,11236,11420,11616,11858,12049,12257,12516,12772,13014,13291,13555,13822,14096,14334,14611,14893,15175,15436,15724,16024,16322,16625,16907,17245,17565,17911,18240,18563,18896,19253,19625,20010,20404,20813,21223,21668,22093,22577,22967,23368,23811,24229,24705,25166,25609,26061,26486,26952,27419,27859,28320,28788,29231,29717,30193,30662,31168,31674,32207,32708,33213,33755,34295,34842,35462,36064,36696,37296,37918,38565,39211,39868,40537,41217,41930,42643,43356,44102,44871,45619,46454,47188,47974,48801,49658,50497,51351,52150,53052,53879,54692,55561,56444,57369,58325,59194,60147,61103,62113,63073,64074,65066,66105,67166,68352,69446,70606,71837,73071,74280,75526,76829,78088,79424,80810,82119,83457,84883,86320,87778,89162,90633,92079,93609,95130,96693,98341,99956,101659,103376,105108,106879,108653,110417,112176,114009,115887,117865,119870,121879,123839,125906,128052,130143,132247,134447,136684,138956,141248,143614,146007,148417,150873,153389,155950,158458,161183,163792,166536,169169,172013,174756,177558,180465,183466,186478,189416,192383,195419,198505,201629,204823,208045,211381,214788,218284,221714,225273,228923,232577,236289,240095,244084,247989,251998
1,1,3,4,4,4,7,7,8,11,11,12,14,17,19,22,24,24,26,27,31,35,37,40,43,47,48,51,52,56,65,73,75,78,83,85,88,93,96,102,114,120,124,133,137,140,144,149,156,168,172,178,191,197,203,206,207,210,210,213,214,219,223,227,230,232,237,241,241,247,253,260,267,275,282,290,304,310,320,332,337,345,354,357,364,375,378,386,397,404,419,427,434,439,449,455,461,471,486,493,506,515,524,536,552,574,596,622,642,658,676,706,716,734,753,771,791,818,839,862,884,910,926,948,976,1003,1019,1033,1060,1085,1110,1141,1170,1198,1228,1257,1279,1309,1338,1372,1415,1442,1470,1509,1549,1594,1629,1688,1739,1788,1837,1884,1945,2002,2078,2129,2183,2260,2328,2403,2490,2572,2651,2745,2849,2957,3063,3176,3274,3405,3545,3679,3792,3940,4082,4221,4376,4515,4664,4786,4921,5062,5193,5328,5445,5566,5678,5808,5904,6029,6133,6256,6347,6451,6555,6665,6753,6839,6928,7006,7095,7175,7259,7351,7446,7544,7638,7754,7861,7987,8084,8176,8289,8388,8490,8594,8684,8804,8942,9078,9214,9363,9497,9635,9806,9968,10138,10291,10446,10631,10797,10985,11163,11331,11505,11662,11843,12048,12239,12431,12619,12819,12999,13207,13406,13588,13773,13955,14146,14351,14585,14813,15031,15256,15479,15727,15935,16182,16397,16623,16893,17160,17463,17819,18161,18502,18850,19233,19661,20030,20454,20850,21243,21670,22120,22571,23049,23511,23943,24379,24841,25320,25822,26322,26817,27286,27798,28309,28806,29296,29795,30277,30804,31327,31868,32423,32978,33587,34140,34669,35261,35827,36423,37022,37633,38217,38820,39411,40047,40660,41295,41897,42518,43149,43739,44347,44982,45612,46274,46917,47541,48187,48812,49484,50097,50785,51470,52082,52722,53406,54095,54764,55476,56197,56944,57671,58421,59266,60049,60854,61719,62619,63466,64346,65242,66225,67156,68161,69164,70174,71193,72277,73382,74513,75664,76827,77967,79203,80410,81732,83009,84390,85773,87184,88538,89963,91452,92992,94631,96233,97989,99733,101555,103391,105259,107169,109069,111055,113036,115027,117103,119142,121234,123369,125622,127778,129996,132225,134401,136801,139189,141647,144178,146787,149394,152117,154817,157593,160365,163257,166206,169122,172083,175010,178004,180984,183972,187106,190117,193244,196439,199638,202934,206178,209472,212970,216460,219823,223356,226908,230647,234405,238229,242187,246163,250190,254432,258613,262829,267091,271515,276037,280613,285251,290014,294654,299603,304652,309648,314633,319869,325174,330588,336106,341582,347216,353141,359037,365117,371198,377398,383780,390254,396763,403319,410143,417107,424109,431227,438638,446034,453443,460835,468435,476097,483870,491832,499977,508193,516416,524700,533108,541862,550514,559380,568410,577508,586709,596069,605553,615249,625033,634944,645028,655276,665379,675516,686018,696608,707398,718334,729371,740583,752005,763398,774835,786531
1,1,2,3,3,5,6,7,8,9,10,10,10,10,10,10,10,10,10,12,14,15,17,18,20,21,21,22,22,22,23,23,25,26,27,29,31,32,35,35,38,41,43,44,49,54,57,59,65,67,68,71,74,77,83,86,93,99,107,113,118,123,126,133,138,146,155,163,178,187,194,199,210,224,239,253,265,285,299,316,331,356,366,384,399,413,424,434,442,459,475,491,510,527,535,542,554,570,585,598,614,623,637,650,669,683,695,710,726,751,778,794,815,837,858,878,897,918,940,966,989,1009,1024,1046,1064,1091,1115,1128,1143,1153,1165,1181,1196,1214,1224,1247,1273,1288,1304,1320,1335,1345,1362,1385,1411,1435,1460,1498,1516,1540,1570,1603,1641,1669,1711,1745,1767,1802,1828,1856,1880,1911,1945,1981,2012,2053,2090,2123,2158,2181,2218,2265,2303,2360,2399,2453,2519,2576,2634,2681,2755,2817,2885,2951,3030,3103,3183,3255,3335,3414,3495,3571,3664,3750,3831,3910,4010,4119,4192,4279,4355,4440,4522,4610,4715,4817,4916,5021,5115,5219,5316,5411,5532,5630,5728,5829,5927,6030,6136,6248,6345,6457,6588,6727,6850,6983,7120,7248,7383,7547,7700,7841,7994,8130,8278,8439,8600,8794,8989,9180,9356,9537,9703,9895,10072,10240,10421,10613,10802,11001,11206,11406,11628,11824,12014,12248,12473,12702,12966,13241,13528,13791,14095,14377,14689,15011,15341,15726,16108,16500,16952,17350,17778,18160,18568,18979,19453,19916,20350,20785,21223,21718,22173,22647,23131,23624,24116,24615,25123,25663,26166,26672,27259,27828,28364,28962,29544,30138,30767,31443,32075,32776,33534,34207,34931,35730,36572,37384,38200,39086,40007,40966,41868,42853,43800,44763,45767,46783,47848,48932,49984,51087,52224,53284,54506,55691,56964,58181,59485,60873,62246,63630,65118,66612,68121,69733,71378,73002,74613,76329,77979,79711,81368,83139,84932,86750,88646,90530,92464,94370,96406,98440,100581,102682,104859,107108,109313,111537,113828,116194,118623,121027,123473,125992,128541,131059,133630,136332,138937,141595,144417,147067,149859,152675,155460,158453,161403,164418,167512,170614,173689,176992,180128,183421,186686,190016,193458,196958,200418,203969,207450,211050,214765,218521,222305,226261,230172,234138,238268,242476,246883,251126,255596,259967,264428,269034,273679,278278,283002,287834,292722,297596,302555,307776,312908,318123,323463,328846,334142,339397,344919,350564,356353,362124,368202,374303,380411,386698,393152,399718,406186,412847,419796,426743,433801,441126,448354,455763,463207,470948,478625,486440,494682,502782,511187,519662,528248,537102,546085,555273,564526,573840,583262,592692,602349,611794,621504,631155,641271,651488,661721,672437,683044,693868,704904,715848,727144,738642,750219,762087,774021,785829,798036,810422,822724,835470,848486,861434,874620,887920,901353,914748,928477,942372,956440,970705,985104,999628,1014446,1029667,1044792,1059927,1075412,1090991,1106975,1122952,1139351
1,1,1,3,7,8,8,9,9,9,10,11,11,14,16,17,20,21,23,24,26,27,27,27,27,30,35,36,37,41,45,50,54,56,61,68,73,77,85,94,102,108,115,118,123,127,135,140,149,160,168,175,187,196,206,211,228,240,254,256,270,277,281,293,306,313,321,339,350,363,376,386,398,418,434,446,460,477,497,508,529,549,566,573,586,608,626,646,659,676,698,718,732,744,761,778,794,810,823,840,863,883,902,911,925,959,970,994,1021,1038,1063,1078,1099,1123,1148,1163,1186,1211,1232,1247,1274,1311,1343,1380,1417,1451,1483,1532,1564,1604,1657,1709,1753,1808,1853,1897,1951,1996,2048,2109,2171,2230,2289,2337,2411,2462,2521,2585,2636,2691,2768,2837,2904,2960,3029,3102,3165,3232,3283,3351,3415,3477,3531,3608,3681,3751,3819,3892,3962,4042,4125,4216,4310,4398,4486,4605,4701,4803,4910,5020,5124,5240,5329,5426,5533,5650,5741,5860,5980,6108,6234,6348,6468,6582,6693,6849,6979,7118,7246,7395,7544,7708,7878,8026,8202,8379,8556,8756,8936,9108,9324,9520,9726,9913,10123,10325,10513,10742,10965,11212,11439,11690,11908,12138,12356,12641,12919,13204,13451,13744,14053,14295,14572,14907,15207,15484,15811,16150,16449,16797,17179,17519,17856,18188,18537,18896,19299,19677,20064,20474,20860,21295,21717,22162,22607,23034,23455,23897,24356,24825,25327,25852,26348,26826,27287,27846,28368,28917,29537,30126,30682,31236,31831,32433,33053,33637,34214,34867,35500,36143,36805,37461,38113,38788,39479,40164,40856,41555,42303,42985,43736,44510,45335,46186,47043,47916,48879,49770,50658,51591,52559,53521,54544,55595,56631,57732,58814,59915,61088,62246,63434,64640,65861,67095,68391,69677,70941,72265,73587,74965,76371,77691,79075,80468,81977,83505,85043,86599,88239,89967,91751,93567,95421,97339,99343,101385,103450,105530,107796,109941,112158,114541,116867,119227,121646,124074,126514,129036,131693,134323,136979,139617,142480,145455,148481,151415,154478,157524,160594,163755,166988,170390,173812,177253,180826,184582,188302,192058,195920,199825,203905,208042,212140,216515,220829,225108,229641,234071,238584,243177,248000,252774,257626,262332,267269,272262,277229,282362,287693,293253,298830,304366,310152,316112,322170,328192,334438,340707,347154,353645,360294,366926,373834,380826,387933,395051,402294,409765,417356,425051,432750,440765,449002,457425,465813,474437,483175,492119,501154,510470,519823,529234,538686,548385,558331,568394,578623,589145,599545,610026,620541,631342,642329,653231,664184,675253,686548,697823,709372,721333,733029,745060,757146,769445,781895,794340,807031,820112,833025,846107,859401,872989,886740,900567,914490,928629,943133,957579,972379,987252,1002280,1017720,1033375,1049024,1064969,1080984,1097212,1113767,1130410,1147324,1164513,1181633,1198814,1216155,1233903,1251528,1269477,1287379,1305242,1323331,1341542,1359882,1378409,1396990,1415748,1434405,1453509,1472744,1492010,1511535,1531279,1550929,1570872,1590927,1610794,1630977,1651374
1,1,1,1,1,5,7,8,9,9,10,10,10,10,10,10,10,10,11,12,13,13,14,17,19,20,21,21,21,21,22,22,22,22,27,28,34,34,36,37,38,45,49,52,53,60,64,68,74,80,84,86,89,95,100,111,119,130,136,145,159,169,176,188,197,201,210,221,235,248,262,274,287,297,310,320,331,344,352,360,369,380,390,402,411,423,433,448,461,475,482,492,511,524,531,540,565,574,589,603,626,641,662,677,698,720,733,754,777,798,823,856,880,916,951,974,998,1030,1055,1082,1118,1151,1189,1225,1263,1301,1341,1397,1448,1503,1559,1614,1658,1701,1754,1804,1864,1925,1987,2069,2147,2229,2313,2391,2486,2602,2710,2808,2926,3055,3161,3289,3412,3530,3681,3809,3921,4063,4209,4344,4474,4643,4808,4975,5105,5272,5453,5615,5786,5977,6166,6341,6573,6757,6940,7111,7303,7492,7692,7891,8105,8271,8463,8644,8859,9087,9306,9493,9709,9918,10149,10374,10635,10854,11077,11309,11552,11787,12035,12332,12577,12884,13153,13488,13773,14084,14412,14742,15043,15393,15711,16007,16350,16717,17113,17469,17800,18182,18561,18918,19278,19605,19997,20381,20749,21164,21560,21985,22361,22765,23166,23552,23979,24383,24812,25270,25741,26161,26641,27147,27683,28189,28667,29174,29700,30220,30755,31274,31880,32432,33033,33599,34192,34804,35437,36021,36649,37342,38075,38818,39561,40327,41090,41884,42720,43611,44462,45336,46197,47054,47946,48806,49747,50648,51612,52565,53514,54444,55472,56513,57465,58532,59626,60734,61915,63060,64251,65444,66729,68037,69393,70702,72031,73404,74826,76248,77738,79252,80725,82245,83843,85364,86980,88623,90206,91878,93457,95048,96728,98380,100072,101783,103498,105267,107048,108946,110849,112800,114728,116697,118640,120644,122635,124597,126572,128644,130834,132883,134981,137123,139404,141632,143822,146194,148480,150832,153190,155647,158144,160684,163373,165971,168734,171520,174380,177192,179982,183018,186014,189099,192166,195325,198572,201749,205130,208551,211972,215399,218935,222552,226214,229938,233810,237700,241642,245689,249737,253856,258048,262346,266727,271255,275982,280585,285271,290258,295301,300354,305431,310719,315993,321320,326737,332106,337572,343130,348855,354588,360460,366320,372301,378409,384619,390925,397353,403882,410566,417454,424414,431490,438993,446504,454215,462086,470230,478360,486322,494630,503268,511997,520857,529815,538721,547911,557149,566688,576378,586172,596176,606391,616694,627062,637681,648498,659517,670401,681499,692659,703946,715269,726750,738364,750247,761948,773965,786321,798811,811264,824022,836795,849368,862067,874741,887770,901118,914561,927865,941608,955103,968711,982605,996409,1010379,1024647,1038823,1053191,1067769,1082151,1096556,1111289,1125997,1140785,1156134,1171235,1186380,1201667,1217182,1232911,1248766,1264860,1281032,1297522,1314086,1330883,1347767,1364618,1381730,1399072,1416556,1434343,1452106,1470202,1488111,1506501,1524604,1543207,1561925,1580610,1599339,1618135,1637171,1656396,1675865,1695603,1715519,1735410,1755388
1,1,1,1,3,5,5,8,9,9,11,13,14,15,19,20,23,23,24,27,32,33,37,39,42,43,48,52,52,56,57,60,61,66,72,73,76,80,87,89,92,95,100,104,109,112,117,120,127,129,135,138,146,150,155,159,171,186,207,230,238,254,282,300,330,353,385,424,456,507,545,603,656,703,759,820,868,913,974,1036,1082,1130,1180,1234,1288,1336,1398,1451,1504,1555,1616,1704,1767,1845,1943,2018,2098,2177,2261,2407,2533,2664,2772,2904,3049,3182,3322,3453,3606,3772,3938,4086,4241,4392,4531,4692,4840,4983,5159,5333,5508,5677,5843,6021,6219,6422,6615,6788,6976,7172,7381,7579,7794,8015,8223,8446,8682,8921,9137,9348,9562,9800,10008,10213,10449,10689,10925,11165,11377,11610,11855,12126,12362,12646,12891,13153,13417,13684,13947,14224,14479,14777,15065,15360,15681,15986,16325,16674,17077,17426,17848,18265,18683,19129,19581,20039,20481,20933,21388,21837,22309,22786,23271,23706,24208,24700,25126,25593,26046,26521,26979,27441,27918,28443,28946,29471,30003,30568,31122,31648,32202,32786,33418,34023,34619,35177,35768,36393,37021,37646,38273,38928,39595,40291,41009,41708,42379,43048,43761,44461,45165,45882,46572,47289,48062,48819,49607,50406,51221,52070,52818,53628,54463,55346,56183,57053,57998,58917,59846,60811,61758,62719,63749,64779,65783,66833,67896,69015,70136,71306,72469,73683,74925,76166,77386,78714,80093,81506,82943,84380,85867,87368,88940,90495,92070,93750,95416,97031,98681,100454,102120,103971,105768,107677,109454,111337,113217,115140,117037,119023,120993,122998,125044,127164,129368,131591,133908,136242,138769,141388,143971,146573,149286,152077,154887,157837,160802,163762,166874,169969,173030,176207,179349,182548,185894,189182,192467,195865,199366,202853,206471,210024,213536,217206,220918,224793,228686,232488,236396,240418,244550,248698,252801,257147,261428,265869,270384,274762,279366,284129,288826,293498,298346,303147,307976,313011,318123,323148,328289,333555,338963,344306,349707,355193,360871,366593,372528,378365,384449,390460,396674,402877,409203,415705,422285,428775,435592,442325,449272,456272,463280,470480,477803,485078,492598,500219,507952,515796,523580,531344,539393,547636,555839,564063,572424,581079,589780,598541,607211,616248,625161,634401,643703,653221,662905,672606,682342,692265,702287,712428,722648,732820,743186,753957,764665,775446,786354,797222,808390,819853,831304,842890,854375,866223,878184,890259,902380,914959,927381,939998,952751,965570,978657,991849,1005284,1018744,1032738,1046929,1060986,1075176,1089694,1104284,1118996,1133959,1149004,1164267,1179921,1195419,1210947,1226763,1242858,1258889,1275071,1291496,1307998,1324616,1341171,1358180,1375358,1392389,1409749,1427170,1444858,1462339,1480335,1498151,1516617,1534925,1553292,1571884,1590560,1609508,1628592,1647644,1666845,1686296,1705589,1725303,1745020,1764851,1784951,1805374,1825756,1846400,1867163,1888031,1909120,1929899,1951054,1972411,1993676,2015417,2037198,2059345,2081261,2103331,2125385,2147887,2170300,2192977,2215831,2238782,2261644,2284994,2308061,2331183,2354757,2378085,2401871,2425521,2449188,2472892,2496802,2520735,2544652,2568507,2592711
1,1,1,1,1,1,1,1,2,5,7,8,9,9,10,11,11,14,16,21,29,34,37,42,52,53,59,64,71,72,76,82,86,93,101,106,112,117,121,126,130,138,146,154,159,167,173,185,191,200,217,232,242,257,273,289,306,331,360,377,399,424,448,478,503,523,542,572,596,609,647,661,688,709,725,750,778,794,816,835,859,883,915,942,969,989,1012,1034,1046,1059,1078,1111,1134,1159,1179,1197,1211,1235,1253,1275,1301,1324,1348,1363,1379,1395,1410,1427,1455,1472,1491,1532,1555,1582,1608,1629,1647,1669,1684,1710,1734,1763,1801,1837,1861,1880,1906,1932,1952,1975,1997,2025,2053,2073,2089,2118,2146,2178,2210,2239,2269,2289,2311,2344,2359,2375,2394,2418,2440,2459,2485,2512,2540,2565,2595,2611,2639,2653,2669,2697,2725,2750,2777,2802,2827,2850,2882,2914,2944,2970,3004,3032,3068,3099,3123,3153,3178,3213,3256,3286,3320,3359,3396,3429,3473,3516,3562,3605,3649,3689,3751,3834,3894,3990,4073,4157,4240,4346,4445,4552,4656,4761,4869,4986,5087,5190,5298,5402,5503,5591,5683,5755,5846,5934,6031,6135,6213,6298,6395,6509,6596,6705,6842,6980,7129,7277,7417,7603,7750,7909,8047,8208,8356,8513,8679,8840,9000,9173,9341,9518,9676,9870,10044,10223,10403,10612,10808,11020,11220,11446,11667,11891,12142,12421,12671,12976,13286,13572,13965,14329,14704,15151,15608,16064,16586,17132,17718,18305,18930,19530,20158,20781,21455,22131,22830,23560,24283,24941,25699,26429,27170,27969,28760,29608,30448,31251,32111,32970,33872,34686,35604,36630,37634,38676,39728,40773,41820,42898,43973,44968,46073,47173,48243,49322,50377,51483,52587,53702,54894,56086,57206,58361,59544,60813,62039,63300,64525,65758,67041,68385,69684,71072,72509,73987,75456,76945,78487,80076,81594,83260,84924,86541,88243,89953,91764,93564,95435,97339,99306,101276,103290,105338,107502,109599,111717,113781,115883,118144,120403,122666,124917,127310,129689,132115,134575,137183,139953,142606,145376,148099,150900,153898,156831,159785,162808,165847,168950,172122,175235,178625,181908,185311,188710,192213,195756,199336,202977,206579,210194,213931,217763,221696,225637,229720,233868,238022,242245,246486,250874,255225,259804,264398,269069,273910,278723,283646,288537,293549,298838,304125,309541,315031,320597,326045,331696,337482,343316,349181,355166,361357,367516,373806,380201,386704,393207,399831,406605,413342,420288,427396,434486,441706,448822,456056,463681,471227,478937,486754,494790,502851,511119,519564,528113,536685,545526,554579,563759,573111,582369,591717,601195,610802,620734,630831,640997,651420,662033,672663,683492,694655,705834,717246,728581,740398,752207,764223,776631,789083,801707,814616,827550,840403,853639,867123,880669,894405,908019,921957,935826,949804,964141,978378,992858,1007484,1022199,1037052,1052129,1067184,1082162,1097246,1112502,1128250,1144079,1160086,1176065,1192250,1208470,1224753,1241240,1258036,1274708,1291673,1308638,1325548,1343108,1360503,1378059
1,1,1,1,4,5,5,5,5,5,8,8,9,11,12,17,17,17,19,19,20,21,25,28,36,38,40,45,46,49,51,56,62,72,80,84,94,99,109,114,123,128,137,152,161,165,172,181,190,200,208,216,226,240,253,263,288,297,310,321,330,347,357,377,387,408,420,434,449,468,487,497,507,519,530,548,565,574,587,601,613,630,652,672,681,696,707,718,731,740,753,765,772,787,798,808,826,836,848,861,872,886,896,906,912,922,936,944,949,963,978,990,1000,1018,1031,1038,1053,1065,1082,1089,1102,1112,1123,1137,1148,1157,1168,1177,1181,1191,1201,1214,1224,1235,1244,1259,1266,1276,1286,1301,1318,1331,1343,1350,1362,1378,1392,1405,1417,1432,1444,1468,1490,1505,1519,1539,1560,1574,1584,1592,1606,1622,1647,1661,1669,1691,1702,1716,1728,1739,1759,1778,1789,1798,1810,1819,1835,1847,1858,1866,1880,1894,1902,1913,1928,1943,1950,1966,1980,1991,2003,2017,2024,2036,2046,2060,2073,2088,2097,2111,2125,2138,2149,2162,2174,2189,2199,2215,2238,2254,2270,2280,2292,2308,2329,2343,2355,2366,2384,2398,2410,2417,2439,2451,2477,2487,2508,2528,2547,2567,2586,2616,2639,2655,2679,2709,2730,2757,2771,2796,2816,2843,2861,2890,2915,2935,2951,2979,3001,3027,3044,3071,3103,3132,3162,3181,3216,3250,3293,3325,3353,3386,3438,3478,3511,3561,3607,3654,3683,3721,3756,3801,3842,3885,3929,3974,4025,4067,4117,4166,4213,4260,4309,4358,4426,4490,4545,4594,4649,4703,4746,4807,4865,4925,4995,5060,5140,5218,5289,5361,5445,5533,5618,5706,5806,5904,5995,6110,6236,6345,6451,6549,6675,6794,6900,7018,7129,7281,7396,7541,7651,7784,7927,8050,8189,8316,8466,8616,8762,8908,9068,9251,9401,9574,9759,9957,10135,10331,10502,10676,10879,11069,11273,11441,11635,11829,12040,12267,12515,12745,12958,13199,13435,13692,13913,14162,14403,14655,14933,15191,15446,15713,15984,16261,16569,16912,17215,17580,17936,18295,18654,19052,19493,19896,20333,20763,21191,21603,22045,22537,23032,23498,24006,24531,25002,25520,26051,26639,27225,27837,28419,28993,29620,30283,30944,31599,32313,32997,33725,34458,35272,36091,36956,37856,38704,39594,40522,41405,42373,43335,44280,45302,46376,47386,48368,49466,50507,51565,52644,53771,54899,56033,57201,58403,59619,60839,62086,63309,64600,65873,67212,68618,69987,71359,72763,74230,75716,77267,78760,80372,81968,83592,85249,86876,88540,90308,92126,93891,95709,97509,99233,101112,102954,104951,106914,108925,110923,113025,115104,117280,119458,121782,124132,126500,128966,131450,133931,136586,139170,141775,144453,147317,150150,153079,156057,158913,161872,164908,167948,171054,174147,177374,180620,183813,187128,190515,193950,197408,200963,204492,208109,211858,215505,219086,222870,226690,230602
1,1,1,1,1,2,3,5,6,8,8,8,10,13,14,15,19,22,23,26,27,29,30,31,32,33,34,34,36,39,45,47,51,51,56,57,61,66,68,73,77,80,80,84,86,88,90,98,99,101,105,107,110,112,115,117,121,123,128,129,131,135,139,142,150,155,159,160,162,163,166,167,167,169,170,175,176,180,184,189,189,190,191,193,194,198,202,203,205,207,210,212,214,216,218,219,219,219,222,224,225,228,229,230,230,233,233,235,241,243,243,243,243,244,245,245,250,252,254,256,258,260,264,268,270,274,277,278,280,280,281,284,290,291,295,302,306,310,314,315,319,322,325,326,330,334,337,340,348,352,356,362,362,366,370,377,386,390,396,402,409,418,428,440,446,462,467,477,491,503,512,534,547,567,590,608,629,643,664,684,707,717,746,773,803,829,858,895,936,978,1020,1070,1109,1153,1201,1257,1313,1362,1399,1453,1522,1586,1635,1701,1775,1825,1887,1952,2042,2128,2205,2295,2381,2467,2558,2643,2739,2835,2934,3022,3114,3200,3280,3383,3471,3554,3631,3713,3799,3885,3957,4045,4149,4229,4316,4407,4490,4572,4641,4771,4902,5023,5153,5283,5433,5566,5728,5874,6024,6192,6335,6511,6676,6852,7028,7198,7392,7589,7773,7954,8158,8363,8573,8758,8957,9160,9367,9577,9767,9967,10158,10344,10524,10708,10882,11065,11267,11443,11588,11756,11924,12094,12295,12472,12653,12837,13016,13156,13310,13478,13653,13822,13988,14162,14317,14488,14658,14842,15029,15199,15372,15584,15766,15968,16201,16415,16619,16807,17016,17240,17448,17676,17916,18177,18452,18712,18957,19219,19466,19724,19980,20245,20520,20775,21051,21315,21568,21838,22124,22407,22693,23014,23301,23572,23896,24179,24469,24798,25138,25475,25823,26234,26620,26991,27408,27816,28195,28579,28990,29381,29760,30126,30494,30879,31265,31617,32006,32357,32701,33027,33376,33783,34117,34468,34849,35202,35555,35918,36295,36664,37044,37428,37802,38192,38610,38981,39394,39863,40364,40814,41294,41848,42373,42924,43493,44081,44628,45205,45829,46431,47109,47804,48495,49202,49929,50621,51315,52079,52852,53611,54385,55171,55988,56814,57638,58468,59397,60280,61148,62108,63040,63979,64975,65985,67030,68068,69237,70360,71441,72595,73851,75073,76303,77588,78924,80327,81683,83017,84438,85824,87294,88740,90119,91697,93195,94628,96193,97716,99271,100902,102499,104141,105811,107479,109196,110933,112639,114388,116253,118142,119991,121800,123765,125688,127716,129771,131820,134008,136210,138511,140841,143200,145597,148174,150704,153290,155947,158677,161587,164540,167567,170514,173574,176751,179868,183079,186353,189870,193351,196889,200418,204129,207999,211771,215661,219695,223729,227855,232091,236429,240771,245146,249661,254251,259061,263879,268783
1,1,1,2,4,6,8,9,9,11,13,15,16,16,18,21,26,30,33,35,37,39,40,45,50,54,57,61,67,68,74,76,80,84,87,95,98,103,110,118,121,127,131,137,141,142,146,149,156,163,171,177,187,192,203,211,214,220,227,234,242,251,255,262,271,276,281,295,300,306,314,321,321,327,335,339,341,346,350,356,363,366,372,374,380,383,387,389,390,394,397,403,408,411,415,417,420,421,423,428,432,437,441,444,449,454,460,465,478,492,500,506,519,531,543,560,585,615,640,659,694,724,753,773,806,847,881,932,970,1007,1039,1081,1127,1162,1201,1244,1288,1334,1395,1433,1476,1518,1562,1603,1643,1688,1725,1756,1777,1811,1841,1873,1906,1933,1973,2005,2025,2055,2082,2106,2136,2166,2206,2217,2243,2268,2291,2308,2327,2347,2369,2388,2406,2421,2444,2470,2489,2506,2529,2545,2577,2603,2632,2658,2678,2704,2725,2740,2757,2785,2810,2836,2864,2883,2899,2917,2938,2971,2993,3010,3037,3056,3079,3102,3131,3151,3173,3194,3222,3249,3264,3285,3302,3324,3342,3360,3375,3390,3406,3419,3429,3447,3467,3478,3490,3505,3515,3523,3537,3547,3558,3566,3573,3585,3591,3599,3604,3616,3627,3635,3644,3653,3664,3669,3679,3689,3696,3703,3710,3716,3720,3724,3729,3733,3734,3737,3742,3753,3760,3760,3763,3772,3778,3782,3786,3788,3792,3794,3801,3809,3812,3821,3825,3829,3834,3837,3844,3848,3852,3856,3860,3865,3871,3876,3884,3884,3890,3900,3904,3907,3911,3918,3922,3928,3933,3943,3947,3949,3952,3956,3958,3960,3963,3967,3969,3971,3973,3975,3979,3982,3984,3985,3987,3988,3989,3990,3992,3992,3993,3994,3994,3995,3996,3998,4000,4000,4000,4000,4000,4002,4003,4005,4005,4005,4005,4006,4007,4007,4007,4007,4007,4007,4007,4007,4007,4007,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
1,1,2,3,3,3,4,4,4,4,5,5,7,8,10,13,16,21,25,27,30,34,34,34,35,36,39,44,47,49,52,56,56,58,63,67,71,75,82,85,88,92,97,103,112,116,119,122,128,133,140,142,146,152,158,163,170,175,180,182,190,196,202,208,217,227,233,244,256,269,277,283,287,300,309,313,322,329,345,359,370,379,390,410,426,436,445,457,471,484,500,513,521,537,554,581,606,626,645,674,701,725,771,832,917,995,1094,1182,1298,1396,1522,1647,1766,1912,2033,2148,2281,2395,2508,2659,2803,2991,3162,3350,3529,3711,3929,4137,4324,4526,4727,4924,5088,5279,5465,5640,5823,6022,6227,6428,6629,6827,6997,7195,7374,7568,7758,7939,8106,8289,8478,8647,8819,9004,9168,9360,9539,9752,9971,10197,10420,10631,10872,11117,11378,11672,11970,12264,12599,12889,13203,13521,13847,14171,14476,14795,15137,15444,15741,16042,16328,16639,16957,17251,17555,17869,18191,18491,18801,19142,19455,19801,20122,20502,20842,21236,21612,21994,22356,22716,23086,23472,23845,24259,24643,25018,25421,25812,26177,26622,27014,27435,27819,28221,28666,29122,29608,30130,30657,31168,31726,32377,32952,33603,34226,34900,35548,36192,36824,37479,38175,38861,39486,40141,40863,41579,42388,43131,43882,44611,45367,46127,46986,47843,48655,49487,50359,51243,52141,53044,53957,54969,55951,56992,58083,59219,60436,61612,62828,64045,65221,66445,67683,68916,70206,71512,72836,74116,75458,76884,78257,79676,81083,82526,83964,85445,86922,88417,89955,91529,93214,94883,96577,98235,99962,101790,103461,105284,107135,108988,110979,112981,114928,116941,119069,121158,123274,125458,127603,129699,131878,134183,136535,138847,141228,143579,145937,148294,150690,153133,155719,158326,160991,163730,166506,169293,172129,175042,177994,181046,184154,187216,190405,193684,196838,200014,203439,206936,210547,214111,217769,221518,225362,229201,233170,237139,241375,245590,249959,254467,258991,263655,268427,273195,278081,283051,288129,293260,298653,304033,309514,315212,320884,326557,332339,338347,344297,350550,356832,363089,369433,375794,382464,389170,396126,403117,410212,417271,424616,431987,439338,446837,454656,462386,470448,478553,486876,495252,503801,512594,521334,530334,539255,548328,557603,566860,576091,585459,594851,604606,614393,624450,634528,644924,655340,665953,676486,687530,698387,709651,720853,732352,743981,755875,767861,779901,792082,804321,816803,829644,842454,855413,868583,881825,895278,908974,922614,936534,950658,964762,979331,994129,1008915,1023868,1038697,1053974,1069452,1084984,1101032,1117211,1133695,1150232,1166899,1183800,1200915,1218110,1235660,1253292,1270944,1288783,1307193,1325357,1343917,1362678,1381479,1400382,1419471,1438641,1458342,1477927,1497652,1517432,1537495,1557799,1577948,1598085,1618378,1639021,1659685,1680710,1701661,1722725,1744059,1765381,1786661,1808189,1829769,1851328,1873546,1895644,1917999,1940592,1963055,1985688,2008455,2031291,2054412,2077846,2101286,2124552,2148226,2172081,2195920,2220164,2244237,2268620,2292992,2317178,2341790,2366576,2391116,2415703,2440465,2465548,2490713,2515905,2541093
1,1,1,1,2,2,2,3,4,5,6,6,7,8,8,8,8,8,8,9,11,14,16,19,21,26,32,36,38,40,43,45,47,48,53,58,63,67,71,75,78,80,85,91,94,100,107,112,120,123,126,129,133,138,144,148,154,157,161,165,170,175,179,183,185,191,193,194,195,200,202,207,212,218,221,224,226,229,234,242,244,250,250,250,256,261,263,269,273,277,282,288,292,292,296,297,301,303,305,310,316,318,325,330,334,336,341,342,344,347,352,355,359,362,365,370,374,377,379,383,387,390,394,401,403,406,406,408,411,413,414,416,422,426,429,429,431,435,437,442,448,452,457,461,467,472,474,479,484,490,498,500,506,509,518,523,532,541,547,553,559,571,580,590,597,607,616,622,634,647,663,676,688,700,709,718,729,743,757,772,785,803,822,838,852,860,875,888,899,916,929,947,969,984,998,1020,1039,1055,1070,1085,1099,1119,1138,1155,1169,1175,1189,1203,1222,1241,1251,1267,1283,1300,1313,1325,1336,1354,1370,1386,1405,1417,1441,1460,1478,1493,1514,1529,1549,1569,1582,1599,1613,1635,1651,1672,1682,1702,1717,1733,1756,1772,1787,1804,1822,1841,1855,1875,1899,1923,1943,1957,1974,1992,2019,2033,2053,2071,2089,2110,2134,2156,2184,2207,2232,2260,2281,2304,2331,2357,2387,2429,2461,2487,2522,2564,2597,2636,2679,2721,2778,2841,2910,2980,3044,3121,3183,3255,3336,3403,3465,3516,3579,3651,3711,3775,3840,3902,3969,4024,4079,4138,4192,4258,4316,4364,4417,4464,4521,4579,4625,4684,4738,4795,4845,4907,4979,5042,5100,5141,5193,5246,5301,5358,5417,5464,5519,5575,5629,5708,5780,5840,5910,5964,6038,6095,6142,6206,6277,6352,6425,6500,6555,6631,6708,6782,6853,6924,7007,7080,7171,7232,7307,7373,7449,7528,7592,7664,7727,7807,7888,7960,8039,8135,8221,8336,8419,8505,8591,8679,8777,8865,8978,9078,9174,9271,9369,9474,9591,9689,9795,9893,10007,10116,10223,10339,10448,10569,10676,10815,10919,11044,11164,11299,11432,11572,11730,11870,12016,12157,12316,12490,12680,12852,13025,13213,13403,13622,13837,14027,14285,14530,14801,15085,15374,15661,15921,16232,16552,16881,17210,17566,17887,18239,18557,18839,19163,19475,19831,20255,20678,21081,21525,21952,22375,22796,23246,23692,24177,24644,25127,25595,26093,26646,27166,27673,28208,28759,29278,29856,30439,30988,31611,32216,32916,33519,34178,34867,35497,36190,36872,37656,38355,39123,39844,40589,41402,42230,43018,43854,44710,45541,46383,47222,48099,49012,49957,50861,51799,52717,53667,54597,55549,56490,57448,58507,59488,60422,61449,62475,63517,64592,65693,66768,67912,69081,70302
1,1,1,1,2,3,5,6,8,10,11,11,11,11,11,11,15,15,15,21,21,23,24,28,31,35,35,37,41,46,54,60,68,72,80,90,103,108,113,118,119,126,130,143,143,147,153,159,164,166,173,175,179,189,196,207,213,221,227,235,239,245,260,268,279,285,296,307,311,319,329,335,346,362,377,391,402,417,430,437,443,454,467,476,482,490,502,513,520,529,541,545,552,561,572,581,591,611,623,634,645,655,662,670,679,689,696,704,720,731,736,746,758,772,788,799,808,817,831,847,859,871,882,898,906,915,926,941,956,967,978,992,1002,1014,1024,1036,1045,1059,1063,1077,1089,1097,1107,1116,1127,1134,1144,1156,1164,1179,1188,1203,1213,1222,1233,1244,1257,1268,1274,1286,1294,1307,1327,1333,1342,1346,1357,1378,1383,1391,1400,1411,1425,1440,1453,1464,1476,1487,1502,1517,1532,1546,1558,1572,1576,1588,1597,1604,1614,1620,1629,1641,1653,1666,1674,1687,1696,1702,1709,1718,1723,1729,1736,1741,1748,1755,1758,1766,1769,1777,1787,1795,1805,1815,1819,1827,1832,1844,1850,1857,1870,1878,1891,1897,1907,1913,1929,1935,1942,1952,1960,1968,1980,1991,2005,2021,2031,2043,2057,2068,2076,2089,2097,2105,2113,2119,2132,2139,2148,2157,2165,2176,2189,2194,2203,2215,2224,2238,2248,2259,2270,2276,2288,2298,2308,2325,2347,2362,2365,2378,2386,2392,2402,2417,2427,2439,2455,2462,2475,2485,2496,2503,2518,2532,2545,2555,2573,2583,2589,2596,2605,2624,2639,2653,2670,2682,2699,2713,2726,2740,2761,2775,2791,2810,2821,2834,2853,2871,2890,2905,2915,2930,2948,2957,2973,2990,3006,3021,3037,3059,3084,3105,3121,3134,3153,3181,3208,3237,3267,3296,3319,3336,3362,3390,3427,3468,3498,3523,3556,3584,3608,3640,3681,3719,3754,3798,3844,3890,3926,3963,4006,4042,4089,4136,4184,4231,4267,4319,4371,4417,4463,4501,4542,4597,4640,4681,4728,4771,4818,4889,4948,5014,5081,5169,5250,5321,5394,5486,5574,5646,5740,5839,5945,6042,6137,6218,6308,6399,6493,6576,6668,6759,6830,6926,7017,7114,7211,7324,7446,7556,7664,7773,7868,7982,8101,8235,8377,8504,8638,8798,8936,9083,9238,9379,9523,9683,9833,9996,10140,10296,10438,10613,10791,10960,11148,11323,11503,11737,11906,12103,12339,12561,12816,13051,13316,13587,13873,14140,14424,14738,15027,15340,15724,16086,16466,16873,17248,17631,18064,18456,18879,19295,19768,20200,20618,21098,21577,22066,22550,23040,23577,24157,24747,25363,26020,26655,27357,28007,28699,29367,30055,30759,31485,32285,33078,33885,34680,35529,36445,37389,38372,39359,40360,41344,42439,43497,44626,45761,46805,47985,49221,50448,51711,52995,54303,55615,56986
1,1,2,2,3,4,4,5,5,6,6,7,8,8,8,8,8,8,8,10,14,16,18,21,23,24,24,30,31,33,37,40,44,48,50,55,59,64,69,77,84,91,99,104,107,114,123,137,148,157,173,187,200,219,228,244,260,278,304,316,333,347,361,379,391,402,415,436,449,460,477,488,497,509,524,530,539,550,556,567,580,590,599,608,615,624,638,646,656,663,669,677,685,692,706,717,728,735,744,750,762,769,776,791,797,804,810,819,829,837,849,858,866,877,886,899,911,921,928,934,945,953,961,971,988,996,1009,1021,1035,1052,1074,1098,1120,1140,1158,1180,1197,1223,1244,1272,1302,1321,1358,1382,1407,1438,1463,1488,1519,1553,1589,1635,1683,1729,1766,1810,1854,1896,1939,2000,2050,2103,2162,2218,2275,2338,2408,2475,2548,2620,2703,2789,2864,2931,3013,3086,3170,3257,3338,3420,3488,3572,3656,3743,3824,3900,4003,4093,4168,4233,4307,4408,4493,4574,4658,4743,4813,4924,5024,5142,5232,5326,5432,5531,5630,5725,5832,5935,6058,6178,6304,6419,6550,6690,6803,6942,7076,7221,7360,7489,7635,7798,7956,8112,8247,8392,8581,8726,8883,9052,9208,9372,9567,9754,9944,10124,10309,10493,10674,10850,11027,11224,11409,11596,11825,12025,12213,12411,12597,12803,12996,13233,13452,13676,13904,14140,14374,14615,14860,15106,15361,15610,15861,16110,16368,16651,16943,17243,17525,17836,18131,18427,18746,19101,19451,19802,20169,20563,20951,21344,21721,22124,22575,23036,23473,23924,24352,24842,25355,25915,26423,26963,27518,28016,28555,29109,29715,30318,30929,31566,32113,32790,33418,34121,34779,35463,36086,36806,37461,38158,38833,39498,40155,40808,41502,42183,42904,43596,44250,44951,45731,46475,47222,47995,48871,49663,50525,51376,52292,53199,54122,55044,56018,56997,58012,59018,59995,60991,62060,63126,64226,65393,66431,67548,68648,69834,70955,72205,73475,74834,76166,77555,78936,80281,81659,83037,84475,85938,87426,88888,90311,91822,93384,94898,96454,98104,99713,101365,103012,104858,106556,108314,110147,112095,114136,116017,118089,120044,122025,124138,126346,128544,130775,133137,135424,137764,140070,142406,144914,147341,149754,152287,154812,157458,160131,162743,165422,168136,170812,173668,176504,179299,182130,185165,188078,191033,194090,197199,200339,203575,206830,210165,213541,216921,220425,223890,227724,231507,235458,239440,243538,247715,252007,256387,260677,265103,269694,274470,279106,283888,288770,293778,298839,303924,309018,314351,319582,324963,330605,336098,341965,347605,353516,359301,365298,371294,377404,383620,390170,396814,403387,410104,416901,423890,431184,438312,445610,453019,460693,468450,476513,484493,492479,500509,508893,517305,525729,534237,543039,551873,560683,569674,578910,588090,597266,606638,616149,625679,635282,645094,654895,664888,674899,684988,695214,705524,716052,726798,737709,748852,760055,771429,783178,794849,806872,818852,830901
1,1,1,1,1,1,2,2,3,5,5,6,6,6,9,9,13,15,16,18,22,23,26,30,33,36,39,40,42,47,49,50,57,62,66,69,70,72,73,73,77,84,90,94,101,108,114,115,120,126,129,137,139,148,152,163,165,169,174,176,183,186,191,200,203,206,212,217,222,228,232,236,242,244,248,253,257,267,271,280,282,298,302,308,313,321,331,338,341,356,367,382,392,398,406,413,426,434,451,463,478,492,499,508,523,539,548,565,577,594,605,628,649,666,686,703,728,748,765,786,815,843,876,901,920,940,971,994,1020,1038,1069,1105,1134,1168,1188,1213,1235,1262,1293,1325,1360,1382,1415,1440,1470,1503,1534,1564,1604,1633,1665,1682,1718,1756,1781,1815,1842,1871,1909,1945,1983,2015,2051,2089,2123,2157,2190,2216,2257,2298,2335,2383,2411,2449,2486,2530,2564,2591,2628,2671,2707,2743,2780,2817,2861,2885,2926,2964,2988,3027,3064,3088,3125,3166,3211,3251,3286,3316,3362,3401,3450,3489,3544,3586,3630,3687,3745,3805,3864,3911,3974,4031,4095,4165,4227,4289,4374,4442,4510,4587,4659,4724,4778,4855,4949,5026,5097,5172,5256,5330,5399,5480,5564,5646,5721,5789,5869,5952,6050,6130,6226,6308,6411,6503,6609,6726,6818,6910,7010,7122,7245,7388,7531,7666,7831,8006,8221,8445,8662,8869,9106,9376,9663,9958,10252,10544,10839,11162,11509,11832,12146,12488,12815,13189,13583,13936,14327,14733,15144,15529,15965,16415,16830,17232,17729,18206,18661,19132,19592,20055,20571,21050,21551,22086,22606,23141,23707,24225,24813,25338,25839,26348,26863,27359,27897,28413,28961,29545,30060,30608,31152,31728,32350,32895,33463,34017,34626,35231,35847,36490,37179,37789,38445,39161,39865,40627,41334,42073,42831,43600,44466,45255,46146,47000,47846,48708,49558,50482,51419,52366,53264,54229,55169,56109,57084,58057,59043,60015,61037,62033,63051,64070,65059,66120,67192,68264,69308,70346,71440,72565,73755,74980,76191,77485,78847,80150,81523,82953,84339,85784,87261,88735,90293,91873,93448,95114,96697,98364,100093,101809,103593,105393,107109,108844,110745,112677,114509,116501,118397,120344,122366,124371,126509,128669,130865,133059,135319,137567,139708,142069,144352,146733,149247,151759,154267,156828,159480,162135,164802,167665,170477,173323,176286,179350,182457,185583,188828,192107,195438,198930,202569,206243,209879,213733,217732,221629,225663,229757,233926,238236,242704,247112,251739,256319,260937,265789,270675,275646,280765,285942,291295,296738,302280,307803,313493,319264,324920,330740,336687,342705,348827,354964,361252,367549,374015,380469,387068,393796,400672,407554,414528,421516,428808,436202,443481,450940,458661,466576,474607,482776,491018,499552,508120,516820,525636,534513,543579,552878,562156,571459,581167,590968,600758,610918,621010,631326,641806,652281,663074,674029,684987,695884,707221,718483,730174,741655,753202
1,1,1,1,1,1,1,1,3,5,6,6,6,7,8,10,10,11,12,13,13,18,21,22,24,25,27,30,35,40,43,49,53,60,68,72,78,83,93,98,106,115,118,120,124,130,133,140,143,144,154,161,162,174,186,193,203,207,214,221,230,242,251,262,274,285,296,307,326,334,351,359,380,394,398,404,424,437,450,465,474,485,499,509,518,531,540,548,560,575,580,589,597,604,623,632,645,655,660,672,686,696,706,721,728,737,745,755,774,789,807,823,839,850,861,871,893,906,922,943,958,980,1003,1022,1045,1056,1086,1108,1139,1166,1194,1219,1259,1286,1323,1357,1389,1409,1450,1486,1526,1558,1603,1638,1681,1717,1755,1799,1829,1871,1908,1953,1993,2029,2055,2096,2133,2180,2236,2292,2340,2399,2440,2489,2544,2596,2629,2672,2733,2791,2855,2903,2946,3006,3051,3096,3153,3199,3251,3313,3368,3441,3500,3551,3607,3646,3703,3778,3845,3915,3988,4062,4130,4196,4272,4357,4425,4511,4596,4676,4758,4845,4931,5023,5111,5214,5319,5422,5516,5619,5747,5864,5971,6103,6227,6369,6489,6646,6782,6937,7093,7249,7368,7528,7714,7865,8065,8244,8419,8620,8816,9019,9201,9414,9621,9806,9987,10194,10391,10580,10814,11037,11246,11466,11680,11906,12155,12374,12658,12906,13203,13482,13810,14082,14402,14724,15104,15460,15827,16209,16583,16987,17378,17777,18163,18616,19049,19497,19985,20499,21008,21538,22086,22603,23117,23680,24269,24838,25430,26005,26552,27189,27829,28537,29303,30020,30713,31450,32280,33090,33921,34847,35715,36608,37465,38359,39218,40122,41055,42009,43012,43955,44941,45918,46893,47904,48941,49982,50976,52069,53141,54215,55358,56522,57713,58868,60161,61417,62646,63951,65296,66652,68101,69525,70905,72332,73816,75351,76820,78255,79779,81321,82917,84459,86053,87655,89200,90778,92469,94201,95945,97654,99350,101126,102827,104628,106472,108376,110197,112095,114062,116026,118041,120173,122244,124391,126523,128830,131248,133750,136273,138929,141588,144228,147032,149878,152742,155636,158724,161778,164788,167899,171009,174169,177331,180641,183964,187414,190743,194255,197798,201439,205014,208697,212448,216232,220210,224070,228205,232286,236503,240593,244815,249139,253489,257819,262322,266798,271332,276090,280878,285692,290664,295741,300709,305742,310959,316255,321538,326988,332391,338001,343595,349358,355133,361005,366994,372988,379228,385585,391952,398318,404757,411240,417996,424824,431808,438676,445764,453001,460508,467970,475630,483239,491035,498811,506916,515199,523298,531672,540071,548551,557246,566108,575206,584151,593257,602648,611971,621789,631545,641358,651477,661629,671893,682102,692793,703309,714158,725177,736481,747906,759555,771420,783103,795379,807634,820161,832479,844956,857595,870597,883499,896654,910017,923828,937600,951324,965105,978802,992958,1007374,1021803,1036481,1050976,1065542,1080450,1095455,1110928,1126079,1141316,1156619,1172129,1187824,1203608,1219680,1235932
1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,7,13,14,15,17,17,19,19,21,22,28,31,38,44,48,50,53,56,62,66,70,75,83,85,90,92,96,98,101,108,111,119,124,128,133,138,143,145,149,153,158,162,164,166,170,172,172,174,176,178,182,185,187,188,192,199,202,204,207,207,209,212,214,218,219,219,219,219,220,222,225,228,230,235,237,240,242,244,246,246,249,255,261,264,269,275,278,281,285,287,289,296,299,307,312,320,327,332,340,354,361,369,380,393,409,416,436,445,460,479,500,520,541,562,574,594,610,619,634,657,672,700,722,751,776,797,816,855,894,923,944,970,995,1013,1053,1097,1145,1187,1239,1273,1331,1388,1429,1477,1542,1595,1658,1732,1805,1868,1936,2009,2092,2160,2253,2313,2392,2476,2568,2661,2741,2822,2913,3013,3115,3215,3315,3408,3504,3603,3706,3808,3922,4025,4149,4269,4372,4485,4641,4785,4947,5106,5287,5470,5647,5817,5998,6176,6375,6563,6782,7000,7213,7411,7622,7854,8043,8262,8500,8739,9025,9310,9595,9873,10149,10442,10768,11097,11418,11753,12076,12403,12751,13108,13471,13817,14176,14559,14959,15359,15721,16139,16536,16981,17415,17860,18248,18713,19152,19580,20014,20546,21040,21585,22103,22597,23096,23666,24222,24788,25359,25960,26553,27142,27723,28330,28944,29586,30237,30870,31543,32177,32808,33512,34225,34939,35690,36389,37182,38026,38828,39642,40527,41413,42356,43336,44291,45299,46350,47383,48439,49545,50658,51857,53006,54183,55367,56573,57778,59139,60400,61667,62953,64231,65524,66928,68350,69825,71299,72811,74402,75980,77565,79143,80763,82443,84140,85848,87591,89379,91204,93056,94891,96812,98789,100768,102738,104884,106911,108986,111187,113330,115573,117815,120179,122442,125014,127601,130189,132927,135653,138406,141289,144211,147153,150165,153201,156320,159550,162769,166022,169286,172780,176263,179672,183213,186712,190325,194014,197883,201688,205689,209623,213661,217860,222022,226445,230937,235544,240198,245009,249868,254800,259866,265073,270316,275681,281074,286506,292142,297987,303898,309823,315719,321790,328024,334342,340595,347097,353662,360434,367338,374164,381401,388649,396022,403498,411195,419064,427133,435314,443725,451952,460404,468990,477340,486006,494614,503313,512364,521306,530349,539506,548798,558264,567963,577565,587345,597119,606971,617009,627274,637811,648417,658952,669701,680622,691934,703292,714886,726381,738136,749992,762108,774229,786350,798636,811160,823657,836350,849186,861955,875037,888293,901404,914945,928624,942393,956199,970234,984332,998753,1013450,1028310,1043126,1058424,1073664,1089244,1104854,1120654,1136667,1152507,1168764,1185178,1201803,1218578,1235776,1252701,1269695,1286761,1304330,1321911,1339487,1357293,1375299,1393310,1411533,1430116,1448615,1467009,1485582,1504327,1523418,1542503,1561732,1580964,1600319,1619645,1638844,1658308,1677938,1697839,1717806,1737916,1758289,1778809,1799404,1820262,1841117,1862078,1883389
1,1,1,3,3,4,5,9,10,13,14,16,19,19,21,24,26,30,33,35,36,38,42,46,49,52,54,56,60,61,68,71,74,79,84,87,89,90,96,98,104,108,110,113,116,119,122,123,128,133,136,139,145,148,151,157,160,163,166,169,170,170,173,173,174,175,175,177,177,177,180,182,183,184,186,188,191,194,195,195,197,198,199,202,203,203,205,207,210,210,211,215,215,216,218,218,219,222,223,226,228,230,233,237,241,242,242,244,248,249,250,251,252,253,255,256,257,262,267,269,270,273,276,280,283,286,290,291,293,294,298,307,313,315,321,323,328,331,333,336,340,344,347,352,358,364,366,375,378,383,390,394,398,408,413,420,427,433,436,442,446,453,458,464,470,476,486,492,498,504,512,521,529,538,544,548,554,558,564,574,585,595,610,622,631,641,648,662,671,689,699,711,726,736,746,760,773,790,800,817,823,833,843,854,865,880,892,905,911,918,927,938,946,956,963,980,993,1007,1021,1029,1039,1047,1057,1079,1094,1105,1116,1133,1146,1168,1195,1218,1246,1267,1306,1334,1357,1388,1408,1432,1454,1477,1500,1533,1568,1603,1633,1663,1702,1733,1770,1809,1839,1874,1912,1949,1986,2026,2067,2099,2140,2189,2237,2280,2323,2373,2415,2450,2500,2552,2600,2637,2675,2722,2767,2799,2831,2875,2928,2990,3034,3062,3114,3161,3205,3235,3270,3312,3352,3401,3453,3495,3542,3588,3631,3688,3749,3809,3867,3935,4002,4064,4127,4194,4268,4332,4413,4499,4574,4639,4724,4795,4869,4965,5032,5123,5199,5275,5343,5430,5504,5583,5662,5753,5822,5891,5959,6031,6106,6168,6256,6333,6396,6487,6561,6629,6698,6773,6852,6918,6976,7057,7120,7207,7301,7404,7515,7615,7709,7800,7915,8012,8135,8251,8365,8481,8629,8756,8896,9045,9187,9329,9497,9652,9823,9989,10162,10359,10560,10743,10928,11153,11376,11612,11855,12109,12330,12590,12861,13141,13424,13691,13978,14283,14615,14912,15210,15482,15768,16056,16315,16597,16856,17108,17358,17649,17896,18188,18464,18763,19051,19276,19537,19796,20058,20351,20602,20903,21172,21456,21731,22008,22249,22534,22839,23145,23467,23759,24064,24368,24676,25013,25329,25646,26009,26351,26724,27069,27383,27678,27981,28316,28661,29009,29335,29689,30065,30429,30752,31113,31478,31857,32240,32660,33026,33436,33844,34260,34682,35137,35569,36023,36505,36983,37413,37852,38396,38898,39387,39960,40472,41052,41606,42146,42756,43365,43977,44589,45199,45833,46430,47086,47757,48445,49161,49890,50587,51307,52034,52806,53524,54285,55077,55875,56726,57501,58322,59215,60071,60945,61825,62732,63714,64737,65758,66775,67818
1,1,1,2,4,5,6,7,8,8,8,11,15,17,22,25,30,33,34,36,39,45,48,58,59,66,70,79,80,84,87,91,91,92,99,104,112,118,124,126,130,130,133,136,137,142,145,148,150,154,155,156,157,158,161,165,170,175,176,178,182,189,194,197,206,206,208,212,218,219,224,228,233,237,242,246,251,253,259,265,270,278,283,291,297,300,306,313,317,325,329,335,344,345,348,351,354,359,361,369,382,387,392,397,400,407,416,420,427,430,432,438,442,444,448,452,460,463,470,475,477,480,481,483,484,485,488,489,494,498,500,502,506,511,515,516,517,519,523,524,528,530,533,539,542,545,547,549,553,561,565,569,574,579,584,588,600,607,613,621,625,629,636,643,651,659,668,677,684,698,713,733,747,761,773,783,796,810,825,846,866,886,900,920,942,966,979,995,1002,1018,1030,1049,1065,1080,1094,1107,1121,1134,1154,1165,1175,1196,1206,1222,1235,1250,1265,1277,1291,1298,1308,1322,1337,1348,1359,1369,1378,1394,1414,1430,1441,1450,1463,1478,1491,1507,1514,1526,1547,1555,1574,1588,1603,1617,1636,1660,1678,1691,1713,1727,1746,1765,1784,1798,1810,1830,1842,1860,1877,1896,1914,1934,1948,1967,1992,2009,2029,2051,2083,2104,2129,2164,2185,2201,2226,2247,2274,2299,2323,2359,2391,2419,2455,2486,2520,2557,2584,2631,2672,2713,2749,2803,2848,2892,2953,3009,3058,3124,3190,3268,3326,3399,3466,3539,3616,3688,3749,3822,3891,3971,4045,4116,4212,4302,4400,4493,4591,4683,4788,4897,5001,5093,5184,5289,5396,5516,5634,5770,5887,6009,6140,6279,6419,6576,6692,6831,6960,7121,7286,7422,7583,7749,7955,8141,8313,8485,8706,8918,9117,9335,9553,9778,10020,10258,10500,10762,11027,11289,11576,11844,12145,12440,12791,13146,13529,13893,14287,14669,15084,15481,15911,16344,16819,17312,17825,18358,18866,19450,20077,20719,21310,21979,22731,23514,24245,25030,25871,26727,27604,28492,29398,30299,31244,32241,33253,34271,35279,36307,37283,38324,39308,40321,41387,42379,43333,44325,45375,46358,47383,48399,49434,50439,51456,52523,53602,54694,55808,56972,58092,59300,60423,61629,62847,63980,65187,66442,67638,68891,70104,71362,72675,73987,75338,76695,77955,79305,80561,81872,83229,84561,85871,87257,88715,90148,91634,93173,94698,96282,97819,99445,101053,102701,104399,106093,107719,109445,111179,112987,114779,116596,118564,120458,122414,124303,126313,128299,130358,132466,134643,136793,139015,141164,143373,145700,147981,150425,152896,155318,157798,160408,162979,165663,168458,171355,174232,177169,180138,183147,186218,189472,192761,196026,199433,202772,206222,209802,213356,216865,220542,224310,228219,232133,236170,240264,244348,248529,252735
1,1,1,1,1,1,1,2,2,3,4,4,5,5,5,8,10,11,11,13,14,16,19,20,21,27,29,31,35,35,36,40,42,43,44,45,51,58,63,69,72,81,89,98,101,113,118,122,128,132,138,146,156,166,177,185,197,204,216,229,241,250,261,269,281,292,298,302,313,327,337,352,363,372,387,398,405,413,417,429,442,447,460,469,476,485,487,490,493,500,514,523,533,535,538,545,552,563,568,573,585,595,604,618,633,648,657,663,676,690,697,712,726,742,757,771,793,807,826,844,852,865,889,909,925,940,955,964,977,996,1011,1022,1039,1058,1075,1089,1104,1118,1136,1152,1169,1188,1205,1226,1241,1268,1286,1303,1325,1344,1364,1384,1403,1428,1457,1488,1517,1538,1566,1585,1612,1638,1675,1698,1721,1746,1772,1800,1826,1863,1894,1939,1973,2008,2037,2079,2100,2126,2162,2193,2219,2248,2279,2327,2365,2403,2438,2472,2512,2546,2591,2636,2670,2709,2768,2803,2847,2897,2943,2978,3035,3079,3136,3195,3246,3296,3350,3418,3495,3575,3652,3729,3796,3870,3933,4019,4091,4163,4244,4327,4426,4530,4611,4692,4768,4853,4929,5004,5078,5173,5270,5356,5434,5522,5612,5711,5798,5873,5967,6065,6162,6266,6364,6462,6579,6678,6795,6915,7009,7114,7220,7325,7450,7562,7676,7790,7909,8015,8131,8269,8398,8532,8668,8803,8963,9124,9267,9430,9572,9742,9896,10057,10219,10380,10548,10707,10873,11064,11266,11482,11685,11925,12167,12385,12612,12831,13096,13343,13601,13889,14194,14494,14787,15091,15389,15667,15985,16306,16616,16955,17265,17586,17896,18253,18587,18912,19313,19679,20053,20445,20855,21280,21723,22176,22600,23049,23493,23971,24482,25022,25550,26143,26726,27330,27956,28604,29257,29915,30598,31368,32108,32898,33681,34527,35397,36232,37242,38140,39065,39985,40974,42069,43176,44277,45377,46543,47630,48820,50052,51231,52451,53742,55072,56462,57836,59272,60721,62192,63667,65187,66799,68317,70003,71623,73250,74949,76627,78334,80079,81924,83803,85718,87661,89677,91706,93765,95842,98054,100315,102581,105038,107440,109900,112360,114855,117390,120001,122773,125582,128302,131046,133913,136788,139752,142799,145775,148789,151813,154932,158121,161301,164502,167915,171229,174667,178109,181703,185266,188913,192601,196592,200505,204427,208625,212820,216983,221394,225793,230347,235011,239613,244368,249135,254196,259485,264693,270111,275543,281025,286665,292335,297979,303846,309891,315932,322070,328353,334909,341294,347835,354434,361190,367832,374779,381943,388987,396104,403414,410918,418505,426285,434210,442290,450526,458814,467251,475683,484512,493396,502425,511565,520949,530389,540255,550175,560005,570153,580510,591004,601667,612418,623226,634215,645365,656762,667888,679181,690713,702586,714573,726583,738773,751149,763674,776373,789192,802018,815160,828529,841791,855520,869534,883665,897955,912426,927045,941733
1,1,1,1,1,4,6,6,8,10,13,14,17,19,20,26,28,29,29,41,51,54,61,71,75,82,92,101,107,114,123,130,139,148,157,167,174,178,192,198,210,222,232,244,255,270,280,293,305,321,338,357,377,398,419,436,458,472,492,508,536,559,578,595,617,637,651,667,690,707,731,749,767,781,798,811,832,843,858,869,893,918,933,952,972,999,1020,1041,1060,1086,1115,1134,1158,1175,1199,1216,1240,1267,1292,1313,1332,1358,1381,1412,1440,1463,1487,1507,1528,1550,1565,1589,1610,1624,1644,1670,1680,1696,1712,1723,1734,1758,1778,1794,1820,1848,1872,1905,1932,1964,1999,2037,2073,2113,2153,2197,2233,2270,2317,2364,2404,2449,2490,2541,2589,2633,2680,2728,2780,2821,2868,2908,2958,2998,3039,3084,3133,3182,3227,3269,3303,3343,3383,3422,3460,3504,3537,3578,3625,3665,3702,3736,3771,3804,3837,3862,3894,3927,3951,3981,4009,4033,4069,4099,4129,4164,4192,4224,4244,4280,4302,4330,4360,4396,4433,4458,4485,4516,4549,4588,4617,4645,4669,4694,4725,4767,4807,4837,4872,4904,4943,4982,5010,5044,5075,5109,5139,5166,5202,5235,5264,5307,5347,5376,5416,5457,5498,5546,5588,5630,5681,5729,5785,5832,5871,5919,5982,6042,6087,6138,6208,6263,6303,6352,6408,6477,6529,6585,6624,6674,6739,6795,6849,6905,6962,7024,7096,7145,7229,7295,7358,7431,7503,7559,7629,7704,7780,7865,7958,8076,8170,8282,8371,8460,8546,8654,8769,8864,8974,9086,9188,9291,9384,9475,9595,9700,9797,9894,10001,10091,10186,10291,10373,10485,10588,10714,10822,10938,11061,11194,11309,11437,11571,11686,11842,11993,12152,12310,12457,12635,12820,12997,13167,13354,13555,13747,13953,14136,14328,14544,14761,14970,15163,15359,15587,15827,16064,16287,16504,16753,16962,17170,17413,17642,17858,18109,18341,18598,18851,19112,19376,19648,19923,20226,20511,20825,21168,21487,21841,22188,22526,22855,23211,23563,23923,24262,24609,24976,25338,25713,26123,26517,26924,27317,27737,28156,28566,29021,29501,30025,30520,31046,31595,32150,32716,33320,33909,34537,35126,35742,36422,37084,37749,38483,39181,39897,40622,41343,42072,42744,43445,44140,44866,45587,46337,47134,47920,48681,49434,50188,50974,51797,52593,53385,54173,55003,55871,56772,57652,58543,59425,60408,61363,62359,63368,64334,65476,66592,67740,68973,70200,71488,72818,74159,75615,77089,78533,80099,81684,83292,84949,86724,88424,90152,91923,93711,95487,97390,99344,101321,103299,105378,107433,109552,111641,113865,115985,118208,120433,122660,124918,127223,129485,131861,134231,136635,139216,141704,144221,146921,149737,152533,155284,158182,161060,164020,167110,169996,173026,176039,179098,182301,185634,188894,192213,195741,199014,202500,206020,209748,213414,217287,221204,225215,229233,233353,237513,241868,246204,250544,254977,259467,264158,268827,273587,278407,283315
1,1,1,1,3,5,5,5,5,6,6,7,7,7,7,8,8,8,8,8,9,10,10,11,12,12,12,12,14,14,16,17,17,19,19,19,21,21,25,29,34,37,43,48,49,52,57,62,65,69,84,92,103,119,140,161,179,213,241,283,342,397,449,519,610,680,750,821,895,974,1050,1121,1183,1241,1304,1358,1404,1466,1521,1567,1617,1656,1694,1730,1771,1801,1831,1871,1923,1966,2024,2051,2094,2139,2202,2263,2330,2404,2484,2590,2671,2790,2888,2993,3100,3214,3322,3461,3578,3682,3791,3895,4010,4123,4246,4358,4448,4526,4623,4719,4821,4909,5006,5116,5214,5330,5440,5553,5663,5790,5908,6034,6154,6249,6383,6515,6623,6764,6888,7014,7148,7288,7433,7572,7731,7874,8038,8188,8375,8524,8709,8861,9042,9236,9394,9561,9720,9899,10078,10295,10489,10649,10815,11000,11177,11374,11568,11775,11993,12209,12420,12612,12887,13121,13346,13584,13832,14099,14381,14650,14927,15248,15510,15828,16097,16438,16744,17046,17358,17717,18077,18433,18777,19088,19423,19769,20159,20526,20908,21266,21668,22044,22422,22803,23220,23621,24025,24430,24853,25278,25683,26154,26609,27046,27564,28072,28568,29068,29636,30192,30755,31321,31943,32539,33206,33854,34503,35147,35856,36627,37408,38225,39011,39841,40678,41523,42430,43347,44312,45265,46241,47264,48295,49344,50451,51532,52633,53768,54979,56222,57525,58794,60092,61498,62909,64450,65899,67485,69071,70689,72400,74051,75849,77601,79366,81200,83129,85023,86927,88919,90852,92851,94908,97017,99163,101349,103549,105771,108035,110353,112724,115067,117440,119826,122161,124559,127151,129783,132410,135241,138083,141019,144038,147117,150092,153154,156408,159709,162979,166341,169911,173332,176778,180406,184050,187711,191338,195139,199075,202933,206921,210938,214948,219033,223354,227658,232046,236538,240968,245547,250270,255022,260023,265013,270143,275328,280652,285912,291355,296814,302504,308217,314049,320018,325914,331864,337968,344184,350470,356671,363112,369579,376192,383028,389765,396605,403596,410758,417983,425396,432820,440530,448419,456266,464222,472276,480403,488617,497034,505627,514428,523162,532142,541173,550390,560005,569393,578903,588772,598524,608700,618814,629158,639871,650369,661000,671728,682699,693855,704914,716101,727558,738977,750446,762106,773872,785804,797766,810218,822785,835524,848491,861540,874690,887928,901505,915407,929206,943777,958370,973218,988453,1003601,1018863,1034481,1050260,1066179,1082306,1098906,1115778,1132821,1150207,1167729,1185692,1203774,1222107,1240545,1259007,1277825,1296729,1315924,1335214,1354671,1374224,1394036,1414105,1434273,1454422,1474782,1495104,1515568,1536067,1556622,1577335,1598205,1619287,1640603,1661810,1683053,1704471,1726060,1747840,1769973,1792119,1814243,1836451,1859075,1881694,1904216,1927202,1950313,1973882,1997332,2020863,2044560,2068413,2092269,2115885,2140007,2164144,2188468,2212938,2237284,2261575,2286252,2311175,2336120,2361374,2386042,2411008,2436435,2462322,2487830,2513355,2539242,2565320,2591265,2616987,2643061,2669540,2695816,2722386,2748620,2775426,2801963,2828264,2854506,2881067,2907939,2934484,2961287,2987975,3014627,3041391,3068262,3094870,3121493
1,1,1,1,1,1,1,2,2,2,2,5,6,7,7,8,9,10,11,11,11,12,12,12,12,13,13,15,15,15,16,18,18,20,21,22,22,22,22,22,22,22,24,27,32,36,37,41,43,45,53,57,58,60,65,70,72,75,78,80,86,88,97,99,104,110,114,118,122,129,134,136,141,151,154,161,163,166,174,181,190,195,202,208,212,221,225,232,240,251,258,267,275,281,290,302,318,342,363,378,394,409,427,458,484,524,559,599,638,695,766,819,900,994,1066,1134,1210,1292,1368,1426,1497,1577,1671,1759,1847,1936,2041,2132,2219,2347,2458,2576,2665,2780,2890,3028,3178,3347,3523,3725,3954,4214,4485,4747,5010,5281,5597,5847,6118,6407,6677,6952,7218,7520,7787,8050,8317,8603,8933,9260,9561,9867,10177,10533,10880,11217,11585,11959,12318,12732,13144,13499,13934,14324,14733,15156,15600,16049,16457,16866,17293,17714,18168,18592,19025,19454,19839,20257,20674,21064,21506,21858,22238,22630,23050,23472,23911,24286,24684,25068,25487,25881,26308,26690,27082,27474,27887,28303,28717,29135,29599,30060,30495,30926,31301,31740,32188,32637,33128,33623,34095,34561,35081,35565,36126,36683,37234,37802,38347,38873,39440,40089,40680,41340,41949,42545,43179,43759,44456,45146,45798,46443,47107,47748,48409,49149,49866,50563,51340,51995,52740,53501,54219,54996,55797,56630,57453,58237,59080,59902,60799,61681,62589,63496,64502,65524,66567,67582,68645,69756,70940,72062,73234,74402,75626,76941,78235,79629,80970,82426,83911,85449,86990,88627,90212,91930,93695,95529,97420,99298,101183,103096,105045,107137,109288,111443,113555,115698,118047,120384,122723,125267,127748,130275,132810,135455,138103,140882,143789,146706,149652,152707,155652,158761,161841,165111,168410,171841,175291,178924,182604,186373,190299,194306,198356,202528,206678,210856,215289,219773,224350,229083,233893,238756,243636,248614,253593,258736,264011,269260,274685,280136,285794,291364,297011,302824,308655,314494,320497,326566,332664,338833,345108,351405,357925,364442,371125,377782,384539,391309,398286,405323,412372,419671,426967,434567,441987,449563,457236,465090,473228,481358,489438,497837,506141,514736,523434,532427,541344,550391,559501,568968,578321,587759,597489,607207,617172,627274,637378,647660,657950,668425,678767,689273,700287,711204,722238,733269,744431,755861,767347,779091,791176,803351,815742,828131,840758,853553,866304,879558,892867,906388,919971,933739,947677,961832,976255,990658,1004995,1019938,1034691,1049807,1065027,1080171,1095516,1111308,1127165,1142980,1159044,1175247,1191619,1207940,1224671,1241423,1258373,1275400,1292872,1310366,1328290,1346291,1364388,1382728,1401043,1419583,1438382,1457263,1476253,1495607,1515193,1534761,1554485,1574034,1593751,1613494,1633793,1653933,1674125,1694327,1714452,1735224,1755833,1776568,1797355,1818556,1840002,1861302,1882273,1903677,1925291,1947185,1968681,1990827,2012891,2035203,2057517,2079624,2102241,2124851,2147322,2170028,2192733,2215489,2238616,2261369,2284479,2307528,2330513,2353797,2376848,2400558,2423897,2447627,2471318,2495092,2518559,2542254,2566224
1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,5,5,7,7,8,8,8,9,9,9,10,11,13,14,16,16,18,19,19,21,21,23,26,27,31,38,42,46,51,55,59,65,71,76,80,90,98,104,109,115,124,129,136,145,152,157,163,172,179,192,195,203,211,219,231,241,256,265,278,294,306,318,333,342,352,368,387,402,411,422,437,446,461,473,484,493,498,512,523,539,551,561,569,579,591,606,619,632,650,661,667,682,690,702,711,718,729,749,760,770,782,797,812,826,838,848,871,886,903,915,931,949,963,976,988,1006,1027,1044,1062,1072,1089,1108,1122,1129,1145,1157,1167,1179,1197,1214,1223,1236,1249,1259,1268,1278,1297,1306,1311,1324,1338,1347,1358,1373,1381,1394,1408,1423,1436,1448,1463,1472,1486,1502,1515,1538,1552,1573,1594,1611,1626,1650,1668,1687,1703,1715,1737,1758,1770,1779,1797,1822,1835,1858,1878,1896,1909,1926,1938,1956,1971,1990,2010,2027,2051,2073,2087,2106,2122,2136,2154,2178,2187,2206,2221,2240,2257,2275,2287,2308,2330,2343,2359,2376,2391,2409,2434,2446,2460,2474,2494,2517,2541,2562,2581,2617,2643,2656,2679,2694,2716,2739,2759,2779,2805,2832,2864,2881,2906,2934,2961,2988,3018,3036,3052,3082,3102,3136,3151,3174,3208,3226,3250,3276,3300,3316,3338,3362,3392,3412,3438,3462,3489,3515,3536,3559,3585,3612,3639,3670,3697,3736,3770,3799,3824,3853,3898,3949,3992,4035,4074,4111,4139,4178,4209,4252,4290,4326,4366,4406,4443,4494,4521,4567,4617,4660,4703,4753,4797,4848,4887,4937,4991,5042,5107,5154,5200,5254,5293,5361,5411,5471,5530,5565,5613,5666,5726,5786,5837,5890,5938,5987,6020,6073,6135,6191,6245,6307,6374,6444,6508,6569,6636,6702,6768,6832,6904,6964,7042,7125,7206,7285,7371,7458,7551,7645,7746,7854,7941,8017,8104,8208,8309,8424,8536,8650,8753,8850,8952,9062,9173,9295,9431,9563,9698,9809,9921,10048,10184,10311,10461,10615,10783,10918,11058,11224,11403,11593,11769,11978,12190,12394,12638,12868,13123,13383,13666,13949,14233,14546,14858,15179,15503,15815,16099,16449,16735,17058,17396,17674,17993,18323,18673,19024,19380,19721,20092,20488,20913,21335,21730,22171,22630,23135,23620,24145,24637,25162,25677,26154,26653,27188,27734,28255,28827,29374,29887,30468,31025,31599,32164,32755,33347,33905,34490,35090,35703,36359,36979,37650,38316,38993,39680,40380,41103,41848,42625,43368,44109,44925,45788,46652,47492,48332,49193,50054,50920,51792,52638,53550,54504,55530,56577,57650,58706,59874,61027,62160,63349,64521,65713,67023,68325,69661,71000,72375,73788,75264,76818,78279,79791,81360,83000,84721,86460,88187,90007,91776,93587,95598,97491
1,1,2,4,5,8,9,9,9,10,10,10,10,10,10,10,11,14,16,18,18,19,20,20,26,27,30,30,32,35,37,44,48,50,56,58,66,76,84,91,95,102,112,117,121,125,137,144,149,156,166,170,180,189,204,208,212,212,217,220,225,229,231,235,241,248,250,250,253,254,256,259,261,263,271,277,280,290,295,303,308,311,318,322,329,334,336,339,342,347,353,363,369,382,386,395,399,402,407,414,422,428,435,441,444,450,460,471,475,480,488,498,504,508,515,524,528,537,542,549,559,565,572,581,589,595,601,606,617,622,627,639,648,655,669,678,686,696,699,703,710,721,729,741,754,763,777,790,801,811,829,844,854,866,878,893,906,922,935,947,960,973,985,1001,1016,1023,1040,1055,1068,1081,1104,1128,1151,1178,1197,1222,1253,1275,1299,1330,1351,1389,1432,1467,1493,1535,1576,1613,1659,1692,1727,1764,1809,1858,1896,1923,1974,2030,2082,2134,2173,2226,2266,2310,2351,2397,2443,2506,2564,2629,2686,2747,2804,2863,2945,3047,3145,3252,3374,3503,3623,3736,3868,4001,4144,4299,4446,4592,4753,4935,5108,5283,5441,5606,5786,5954,6142,6334,6536,6718,6907,7129,7375,7612,7837,8109,8357,8606,8907,9159,9421,9705,10019,10300,10614,10903,11206,11500,11815,12132,12444,12755,13112,13444,13793,14169,14553,14946,15345,15723,16121,16539,16932,17372,17781,18222,18664,19127,19653,20155,20702,21251,21864,22466,23089,23757,24452,25146,25894,26615,27376,28149,28990,29762,30568,31400,32190,32983,33826,34732,35578,36441,37302,38125,38961,39815,40712,41656,42565,43476,44408,45335,46267,47148,48097,49051,50020,51002,51959,52950,53977,55022,56067,57069,58156,59215,60273,61353,62481,63580,64724,65861,67035,68247,69479,70694,71984,73256,74534,75826,77128,78402,79801,81100,82483,83908,85345,86864,88387,89809,91225,92783,94307,95849,97349,98924,100583,102135,103771,105519,107226,108960,110703,112394,114206,116023,117825,119670,121532,123436,125269,127225,129334,131516,133714,135924,138175,140345,142644,145016,147423,149914,152383,154833,157341,159980,162555,165187,167828,170443,173122,175794,178643,181411,184305,187145,190020,193043,196044,199085,202170,205436,208752,211982,215410,218946,222512,226290,230030,233929,238015,242123,246315,250528,254853,259224,263710,268230,272812,277738,282450,287203,292018,296867,301851,306948,312166,317505,322831,328127,333575,339084,344941,350731,356551,362499,368847,375177,381561,387995,394367,400943,407802,414751,421749,428895,436204,443643,451058,458415,465850,473471,481049,488918,496812,504782,512926,521168,529605,538182,546793,555864,564660,573756,582870,592282,601649,611191,621173,631230,641304,651582,661976,672619,683424,694223,705051,716171,727532,738825,750319,761916,773574,785384,797347,809389,821500,833706,846310,858979,871665,884339,897255,910266,923530,937024,950568
1,1,3,6,6,6,10,13,13,15,17,17,21,24,31,34,39,43,54,60,65,71,75,79,84,88,92,98,101,105,113,119,128,136,143,146,152,156,160,167,174,181,187,191,198,212,216,225,235,240,244,251,254,264,269,278,288,294,300,311,323,332,341,346,354,362,379,392,400,416,431,448,462,482,502,513,530,548,563,588,606,622,641,667,683,706,723,747,766,793,812,829,854,878,907,928,955,971,987,1014,1035,1060,1091,1109,1142,1157,1187,1219,1240,1265,1293,1321,1358,1401,1438,1478,1519,1578,1630,1676,1722,1772,1829,1880,1940,1991,2048,2103,2165,2229,2291,2364,2455,2525,2581,2654,2733,2802,2875,2958,3028,3103,3167,3227,3299,3366,3432,3504,3566,3645,3727,3810,3883,3964,4034,4099,4170,4234,4310,4400,4485,4581,4669,4758,4834,4908,4997,5089,5195,5307,5420,5546,5645,5758,5874,6002,6150,6285,6428,6566,6712,6874,7036,7187,7344,7502,7663,7833,8012,8185,8350,8546,8714,8887,9084,9255,9417,9559,9746,9940,10116,10281,10449,10621,10809,10983,11175,11378,11590,11793,11989,12191,12407,12606,12851,13056,13253,13495,13706,13939,14173,14419,14662,14905,15150,15423,15700,15957,16237,16522,16809,17088,17378,17658,17953,18251,18551,18847,19152,19484,19786,20132,20451,20818,21175,21538,21943,22340,22733,23136,23527,23903,24289,24741,25197,25600,26029,26461,26952,27464,27912,28381,28879,29378,29871,30344,30831,31339,31820,32261,32785,33391,33961,34560,35109,35653,36242,36826,37473,38098,38758,39502,40194,40893,41640,42343,43157,43993,44808,45601,46419,47289,48177,49112,50074,50934,51855,52853,53845,54864,55858,56916,57939,59024,60135,61250,62403,63522,64662,65866,67136,68358,69568,70880,72230,73539,74864,76332,77767,79253,80803,82296,83993,85643,87386,89178,90880,92687,94501,96425,98350,100322,102302,104283,106358,108507,110659,112795,114956,117084,119369,121579,123805,126070,128207,130424,132694,134975,137345,139682,141977,144416,146941,149451,152017,154607,157294,160012,162817,165754,168753,171791,174879,178065,181382,184592,188012,191290,194706,198207,201706,205389,209102,212826,216613,220341,224029,227899,231683,235629,239475,243443,247468,251481,255631,259971,264243,268436,272869,277303,281885,286282,290774,295359,300038,304891,309784,314776,319948,325057,330360,335774,341272,347018,352873,358814,364772,370882,377086,383253,389637,396078,402667,409296,416031,423075,429903,436893,444125,451407,458631,466199,473727,481400,489197,497070,505123,513242,521383,529674,537979,546653,555331,564028,573015,581924,591005,600434,609851,619428,628988,638850,648755,658746,668808,678940,689181,699822,710362,721001,731656,742322,753488,764846,776279,787898,799595,811784,823967,836187,848322,860790,873368,886117,899026,912094,925351,938896,952447,966323,980448,994739,1009325,1024153,1038940,1054106,1069563,1085085,1100746,1116662,1132665,1148750,1165132,1181672,1198287,1214793,1231650,1248528,1265654,1282722,1299998,1317484,1335315,1353072,1371248,1389141,1407431
1,1,2,2,2,2,3,5,7,7,7,7,8,9,11,13,15,19,26,26,31,33,34,39,42,48,50,56,62,71,74,81,84,94,101,110,116,118,123,128,137,143,145,151,157,165,170,179,186,193,200,209,213,221,228,240,245,253,260,264,272,281,289,296,303,308,318,320,334,340,344,354,367,370,380,386,392,399,406,417,426,435,441,453,463,472,482,490,495,499,503,513,519,526,536,547,556,565,570,577,580,584,599,608,622,630,639,651,657,670,677,689,695,700,706,715,720,728,737,743,753,759,767,777,788,794,810,814,829,852,876,907,945,1004,1061,1137,1209,1276,1334,1419,1510,1600,1680,1756,1829,1905,1973,2054,2119,2201,2285,2369,2448,2525,2612,2706,2821,2918,3041,3179,3327,3466,3614,3771,3929,4092,4227,4387,4522,4715,4855,5047,5248,5439,5675,5910,6169,6416,6658,6956,7217,7529,7803,8101,8367,8662,8906,9172,9451,9722,9974,10260,10553,10800,11084,11396,11737,12087,12423,12754,13140,13528,13973,14382,14848,15313,15763,16206,16666,17187,17627,18102,18610,19154,19693,20233,20777,21355,21886,22389,22951,23518,24125,24684,25279,25839,26505,27107,27781,28361,29005,29652,30308,30968,31630,32275,33007,33688,34367,35067,35744,36376,37070,37766,38472,39222,39958,40676,41411,42133,42836,43574,44327,45065,45901,46646,47414,48201,49029,49865,50650,51469,52305,53085,53906,54726,55504,56370,57262,58067,58929,59772,60711,61571,62459,63417,64281,65219,66131,67055,68094,69092,70105,71125,72188,73212,74247,75303,76340,77348,78496,79563,80672,81801,83011,84123,85272,86452,87687,88849,90095,91359,92589,93885,95228,96511,97907,99337,100715,102154,103654,105097,106589,108124,109653,111260,112896,114455,116149,117850,119629,121427,123209,125031,126893,128774,130661,132578,134591,136685,138804,140913,143058,145206,147427,149683,151959,154231,156610,158934,161331,163825,166342,168906,171536,174199,176866,179572,182404,185241,188157,191108,194214,197355,200500,203722,207037,210406,213839,217317,220811,224440,228089,231833,235678,239608,243457,247380,251392,255508,259772,264040,268359,272808,277339,281982,286696,291507,296429,301469,306623,311889,317035,322305,327653,333081,338454,343984,349725,355320,361208,367237,373216,379187,385473,391656,398117,404736,411338,418061,424859,431886,439070,446416,453626,461191,468748,476372,484089,491721,499659,507506,515491,523532,531821,539933,548216,556530,564837,573458,582213,591018,600054,609032,618034,627191,636373,645806,655181,664763,674379,684098,694168,704391,714523,724771,735368,746115,756893,767864,778831,789968,801334,812676,824211,835940,847928,860025,872246,884792,897294,910168,923146,936278,949534,962932,976652,990401,1004311,1018489,1032735,1047099,1061657,1076328,1091298,1106437,1121540,1136747,1152228,1167768,1183667,1199848,1216225,1232714,1249543,1266470,1283119,1300394,1317672,1334853,1352450,1370446,1388506,1406855,1425284,1443659,1462327,1480885,1499544,1518305,1537279,1556547,1575829,1595294,1614847,1634500,1654163
1,1,2,5,6,7,8,10,10,11,12,12,13,14,14,15,17,20,22,24,24,27,30,32,35,40,44,46,52,55,60,62,65,69,73,77,81,82,86,94,97,98,99,105,110,113,115,121,126,129,135,138,142,145,150,155,157,158,159,166,169,174,176,182,186,189,194,195,196,197,198,198,200,207,209,213,220,223,233,237,241,247,251,259,264,267,274,286,292,313,324,333,347,361,368,378,396,413,429,450,467,478,484,497,510,525,538,551,562,576,588,607,620,632,647,659,675,689,703,718,735,752,764,773,783,801,821,846,868,889,910,939,961,995,1031,1061,1103,1134,1179,1205,1236,1272,1303,1334,1377,1401,1443,1495,1532,1571,1601,1653,1693,1731,1776,1828,1885,1948,2004,2073,2142,2201,2289,2350,2438,2503,2580,2666,2763,2845,2927,3017,3122,3230,3322,3428,3540,3642,3760,3878,3988,4103,4228,4347,4473,4590,4709,4841,4987,5114,5256,5401,5545,5688,5843,6000,6159,6318,6449,6601,6774,6945,7096,7280,7453,7623,7794,8015,8208,8391,8590,8789,9006,9204,9429,9632,9858,10110,10349,10614,10870,11152,11439,11700,11997,12260,12556,12850,13169,13486,13847,14189,14552,14897,15265,15653,16023,16417,16828,17210,17577,17997,18430,18850,19305,19761,20170,20577,21021,21416,21815,22217,22637,23082,23524,23947,24392,24855,25324,25766,26222,26678,27167,27678,28188,28756,29317,29950,30582,31304,31923,32628,33344,34157,35079,35991,36954,37924,38941,39991,41107,42202,43287,44504,45746,46954,48239,49567,51018,52435,53836,55384,56977,58519,60040,61672,63409,65159,66874,68651,70451,72227,73983,75871,77812,79747,81647,83644,85630,87687,89753,91894,94091,96371,98676,101107,103515,106156,108766,111383,114075,116743,119658,122509,125423,128382,131387,134461,137571,140852,144128,147400,150794,154347,157796,161499,165215,168963,172834,176737,180645,184692,188816,193082,197344,201628,206012,210469,215165,219859,224691,229545,234502,239689,244981,250644,256232,262017,268056,274004,280153,286405,292751,299164,305640,312353,319232,326146,333008,340083,347355,354563,361820,369392,376800,384437,392174,399929,407970,416139,424395,432811,441489,450088,458874,467715,476743,485843,495401,505194,514864,524731,534622,544806,554977,565160,575685,586150,596910,607577,618546,629508,640754,652299,664151,676240,688476,700542,712768,725255,737995,750717,763731,776824,790022,803644,817215,830728,844518,858706,872690,887157,901613,916231,930650,945660,960642,975736,990969,1006267,1021789,1037587,1053246,1069080,1085401,1101545,1117739,1134406,1151195,1168295,1185295,1202622,1219767,1237394,1254793,1272368,1290129,1307680,1325386,1343630,1362137,1380621,1399095,1417649,1436242,1455014,1474286,1493557,1512932,1532437,1552248,1571819,1591910,1611893,1632398,1652857,1673314,1694229,1715006,1736012,1756929,1777874,1799119,1820361,1841663,1863137,1884635,1906382,1928203,1950320,1972494,1994692,2016994,2039755,2062272,2085202,2108352,2131889,2155305,2178805,2202642,2226611,2250505,2274652,2298878,2323343,2347959
1,1,1,1,1,1,1,1,3,4,6,8,10,11,14,17,18,21,24,27,32,38,40,44,50,53,58,64,70,77,79,86,95,100,109,115,126,136,150,157,168,184,199,214,225,241,257,276,300,314,343,376,416,450,477,525,566,608,653,690,747,782,844,896,969,1022,1096,1185,1257,1330,1403,1476,1559,1632,1719,1817,1916,2025,2129,2239,2344,2446,2565,2678,2808,2924,3066,3202,3336,3458,3598,3722,3870,4016,4159,4310,4422,4579,4746,4896,5047,5230,5418,5600,5778,5973,6222,6434,6640,6883,7144,7414,7676,7933,8215,8487,8812,9088,9391,9712,10038,10375,10718,11074,11420,11790,12167,12569,12981,13373,13801,14237,14674,15091,15568,16069,16593,17082,17656,18204,18748,19359,20011,20638,21356,22072,22802,23510,24284,25024,25779,26626,27412,28246,29094,29951,30831,31743,32663,33565,34524,35454,36467,37497,38532,39505,40593,41680,42704,43801,44914,45961,47100,48191,49272,50368,51415,52574,53679,54863,56016,57238,58430,59657,60845,62132,63443,64676,66011,67335,68660,69952,71267,72635,73967,75358,76772,78173,79581,81011,82509,84017,85581,87145,88688,90350,92081,93845,95597,97405,99205,101077,103057,105009,106989,108915,111008,113070,115150,117259,119510,121770,124048,126445,128835,131234,133679,136252,138816,141554,144292,147053,149888,152726,155592,158457,161453,164452,167569,170741,173858,177086,180351,183720,187107,190537,194167,197684,201335,205139,208989,213011,216931,221055,225249,229408,233810,238330,242750,247345,251987,256639,261354,266157,270867,275764,280838,285879,290992,296197,301428,306708,312102,317528,323178,328824,334599,340415,346389,352480,358613,364747,371075,377407,384036,390637,397440,404167,410911,417864,424912,432219,439437,446776,454167,461605,469225,476771,484364,492375,500286,508338,516511,524782,533102,541687,550239,558846,567592,576519,585383,594385,603464,612593,622021,631367,640866,650323,660016,669901,679710,689726,699926,710231,720616,731128,741812,752784,763888,775086,786639,798321,810087,821800,833783,845857,858140,870458,882993,895933,908869,921802,934962,948342,961773,975651,989508,1003793,1018069,1032382,1046970,1061741,1076423,1091414,1106594,1122158,1138120,1154456,1170591,1187084,1203892,1220854,1238001,1255002,1272353,1289906,1307552,1325023,1342869,1361002,1379065,1397225,1415698,1434049,1452250,1470837,1489371,1508144,1526565,1545423,1564414,1583256,1602279,1621335,1640642,1660030,1679715,1699920,1720007,1740110,1760440,1781135,1801753,1822551,1843782,1864984,1886108,1907281,1928819,1950393,1972299,1994246,2016503,2038733,2061248,2083884,2106525,2129364,2152379,2175477,2198708,2221918,2245401,2268875,2292676,2316433,2340094,2363742,2387907,2412018,2436258,2460422,2484983,2509529,2533935,2558628,2583254,2607991,2632754,2658019,2683180,2708453,2733760,2758948,2784315,2809838,2835297,2860766,2886306,2911961,2937637,2963512,2989760,3015997,3042145,3068318,3094613,3120949,3147392,3174044,3200707,3226951,3253404,3280159,3306745,3333730,3360538,3387631,3414595,3441384,3468713,3495865,3523090,3550522,3577821,3605375,3632957,3660565,3688349,3716357,3744194,3772288,3800436,3828786,3857326,3885935,3914386,3942630,3970940,3999567,4027819,4056351,4085052,4113885,4142613,4171594,4200654,4229144,4258219,4287086,4315886,4345037,4374062,4402997,4432325,4461474,4490881
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1,1,1,2,4,5,6,9,12,15,17,19,19,23,26,28,36,38,38,40,44,47,49,59,59,61,66,68,71,79,84,93,94,100,108,114,122,125,125,127,130,133,136,143,151,157,160,164,167,174,176,181,186,188,196,213,217,227,235,247,257,263,280,288,300,310,321,336,347,354,361,377,382,392,406,418,429,437,447,456,472,489,503,516,525,546,559,563,576,589,607,621,636,650,664,686,703,712,733,741,757,773,792,811,827,846,873,891,908,917,935,950,967,983,998,1015,1033,1059,1078,1098,1118,1139,1157,1175,1190,1206,1227,1242,1260,1276,1290,1300,1310,1328,1342,1351,1370,1392,1415,1426,1436,1454,1463,1470,1487,1501,1515,1530,1549,1566,1585,1600,1626,1640,1658,1674,1690,1702,1718,1729,1747,1765,1785,1802,1814,1835,1850,1873,1897,1918,1938,1959,1973,1989,2008,2034,2050,2078,2098,2122,2144,2159,2181,2202,2224,2248,2271,2295,2325,2352,2376,2397,2422,2469,2491,2524,2559,2594,2634,2664,2696,2729,2754,2783,2814,2844,2878,2915,2943,2971,3015,3054,3087,3124,3158,3192,3225,3269,3324,3355,3394,3433,3482,3532,3574,3625,3672,3729,3781,3837,3878,3925,3987,4058,4118,4166,4212,4262,4313,4365,4429,4482,4538,4581,4628,4665,4716,4784,4839,4887,4929,4984,5036,5081,5153,5222,5278,5356,5427,5516,5595,5677,5745,5827,5928,6030,6116,6204,6304,6387,6465,6562,6659,6767,6850,6939,7037,7130,7223,7336,7441,7539,7650,7751,7835,7926,8033,8156,8257,8367,8470,8599,8719,8828,8955,9062,9191,9330,9454,9572,9704,9843,9969,10107,10249,10414,10556,10679,10829,10974,11128,11259,11397,11559,11707,11885,12051,12234,12409,12591,12773,12983,13195,13429,13625,13822,14033,14231,14481,14702,14922,15148,15415,15664,15941,16191,16432,16720,17013,17306,17646,17987,18355,18734,19092,19488,19874,20300,20714,21152,21599,22033,22511,22961,23440,23906,24378,24868,25369,25847,26388,26902,27411,27948,28475,29043,29605,30284,30989,31693,32419,33178,33939,34718,35569,36392,37258,38112,38938,39791,40671,41551,42435,43364,44275,45187,46155,47124,48092,49178,50168,51179,52218,53307,54464,55559,56719,57840,59019,60165,61351,62592,63873,65188,66469,67814,69155,70536,71972,73415,74864,76289,77712,79205,80714,82333,83930,85567,87282,89009,90709,92531,94396,96161,98105,100022,102031,104029,106143,108285,110547,112813,115029,117233,119572,122073,124574,127094,129663,132188,134865,137515,140216,142916,145735,148670,151579,154542,157505,160468,163440,166684,169815,173042,176290,179736,183226,186741,190199,193860,197587,201243,205018,209015,212926,216840,220850,224979,229084,233340,237741,242148,246564,251148,255745,260252,264791,269451,274220,279067,283939,288781,293657,298529,303464,308488,313472,318571,323692,328955,334175,339477,344776,350152,355554,361195,366812
1,1,1,1,1,1,1,3,4,5,6,6,6,9,10,12,13,14,14,16,17,17,19,20,23,24,24,26,27,28,31,31,31,31,33,36,36,37,41,45,45,48,48,52,52,55,57,61,65,70,79,88,95,100,102,104,109,117,122,127,134,137,143,150,155,162,166,170,175,180,185,188,194,195,196,202,202,205,206,209,212,212,212,217,219,224,224,226,229,231,231,233,235,237,240,240,241,244,246,247,250,251,253,256,256,257,260,262,270,273,278,283,285,285,290,291,293,297,302,306,311,319,327,332,332,344,345,353,361,365,374,382,387,394,403,413,420,428,435,440,448,456,467,474,480,496,505,511,520,528,532,538,544,557,567,576,580,585,587,591,592,596,603,612,620,625,628,634,639,641,645,650,653,661,664,673,681,690,692,695,699,706,707,710,721,724,731,736,745,753,762,766,769,774,784,791,800,811,817,829,837,846,852,863,877,888,896,906,923,933,945,960,966,973,984,993,1001,1011,1021,1029,1039,1052,1064,1075,1091,1106,1116,1127,1145,1154,1165,1177,1185,1201,1214,1229,1235,1246,1263,1283,1299,1309,1320,1332,1343,1362,1386,1406,1422,1444,1469,1497,1533,1565,1618,1651,1692,1745,1800,1859,1929,1990,2053,2123,2181,2260,2338,2400,2473,2551,2627,2699,2760,2822,2887,2951,3015,3079,3155,3221,3307,3403,3489,3572,3655,3736,3828,3934,4049,4148,4251,4367,4489,4611,4733,4834,4943,5059,5156,5269,5363,5466,5574,5653,5749,5866,5969,6059,6139,6236,6333,6434,6532,6645,6736,6806,6900,6986,7089,7166,7267,7358,7437,7526,7625,7708,7793,7867,7940,7998,8097,8171,8261,8327,8395,8476,8563,8639,8737,8809,8896,8998,9083,9152,9229,9309,9388,9475,9575,9662,9751,9855,9949,10027,10109,10221,10295,10389,10486,10579,10676,10780,10901,11010,11102,11210,11323,11425,11550,11653,11773,11887,12002,12120,12266,12410,12522,12662,12809,12950,13127,13280,13460,13624,13798,13947,14109,14292,14451,14626,14792,14964,15136,15311,15506,15676,15835,15994,16179,16360,16529,16707,16893,17095,17278,17467,17655,17865,18050,18272,18500,18781,19083,19347,19642,19943,20302,20644,20997,21404,21812,22261,22700,23173,23615,24057,24534,25005,25496,26008,26561,27160,27752,28381,29012,29614,30244,30870,31510,32180,32859,33515,34210,34936,35595,36278,37025,37717,38433,39115,39837,40601,41376,42114,42878,43648,44474,45280,46197,47027,47974,48827,49788,50779,51739,52721,53694,54726,55734,56721,57752,58882,59981,61091,62241,63453,64627,65834,67077,68376,69668,70943,72227,73499,74840,76142,77452,78846,80199,81617,83039,84563,86089,87728,89320,90970,92682
1,1,1,1,1,1,1,1,2,4,4,5,8,8,11,12,15,17,18,18,19,21,24,26,30,33,36,37,40,43,49,52,54,57,62,67,75,80,86,90,97,103,109,116,124,130,143,155,164,171,180,191,196,207,213,221,233,239,250,265,270,277,284,293,305,310,319,326,329,333,340,344,356,364,369,375,385,396,402,408,411,416,420,424,433,444,460,471,477,483,493,495,500,506,515,525,547,548,559,571,578,583,590,606,611,620,633,642,650,659,665,677,679,685,691,697,701,710,717,724,731,742,748,758,763,776,788,795,800,804,807,811,817,823,830,832,839,846,854,857,859,864,868,870,877,878,880,885,885,885,887,889,894,898,903,905,909,910,915,918,921,926,931,933,937,942,947,951,957,960,964,975,983,993,1004,1009,1012,1016,1021,1023,1029,1036,1043,1049,1052,1062,1071,1076,1086,1089,1098,1101,1109,1117,1125,1132,1141,1147,1157,1168,1178,1187,1198,1202,1208,1215,1219,1224,1229,1237,1239,1244,1254,1263,1270,1281,1287,1293,1298,1309,1317,1320,1322,1328,1331,1339,1342,1343,1345,1347,1350,1351,1351,1355,1360,1364,1365,1367,1371,1373,1375,1377,1380,1380,1383,1384,1386,1386,1386,1387,1388,1390,1392,1395,1395,1395,1396,1396,1396,1397,1400,1402,1403,1403,1404,1406,1406,1408,1411,1415,1418,1419,1425,1426,1431,1438,1440,1445,1451,1459,1464,1467,1472,1477,1485,1489,1491,1493,1496,1499,1502,1507,1510,1514,1518,1523,1528,1533,1541,1543,1549,1556,1566,1576,1578,1590,1593,1601,1607,1610,1613,1622,1624,1632,1641,1649,1657,1663,1667,1677,1686,1693,1703,1711,1720,1727,1733,1735,1742,1749,1764,1774,1785,1799,1813,1820,1829,1845,1860,1873,1884,1895,1904,1919,1934,1948,1955,1969,1987,2001,2014,2023,2033,2042,2056,2073,2082,2091,2102,2113,2129,2137,2147,2159,2168,2180,2195,2211,2223,2235,2248,2260,2268,2286,2304,2313,2325,2328,2334,2339,2350,2360,2376,2393,2414,2429,2443,2462,2485,2506,2534,2565,2583,2602,2629,2649,2671,2694,2718,2756,2793,2821,2850,2881,2919,2946,2971,2995,3031,3059,3098,3136,3176,3210,3249,3282,3322,3358,3397,3438,3479,3515,3560,3615,3669,3724,3766,3828,3881,3928,3988,4046,4116,4164,4226,4285,4348,4396,4448,4513,4568,4623,4670,4726,4785,4840,4899,4952,5013,5066,5130,5179,5226,5274,5312,5352,5389,5441,5484,5540,5580,5621,5665,5706,5748,5790,5826,5868,5912,5943,5978,6015,6052,6092,6125,6158,6187,6215,6257,6292,6320,6362,6400,6443,6479,6518,6546,6578,6611,6654,6694,6732,6767,6807,6839,6885,6926
1,1,1,1,1,2,3,4,5,5,5,5,10,14,16,17,20,24,25,27,30,34,35,37,42,44,45,50,54,58,60,64,65,68,71,74,78,80,80,81,82,87,93,96,104,108,113,115,120,121,124,124,126,130,130,135,138,143,145,150,156,160,165,171,174,177,178,181,183,187,192,196,198,201,203,206,207,211,215,220,224,226,227,231,235,237,238,242,251,256,263,268,270,277,282,288,293,300,303,310,318,322,326,330,333,340,349,354,366,371,379,386,393,401,404,409,412,418,423,429,437,444,454,461,466,473,481,490,499,507,518,527,537,547,555,563,572,582,595,604,615,626,632,640,648,658,673,682,701,710,727,734,748,760,772,795,803,819,831,846,857,868,883,895,903,911,924,939,960,977,991,1001,1017,1031,1049,1068,1085,1106,1131,1150,1167,1190,1210,1233,1257,1290,1320,1357,1385,1410,1437,1465,1498,1526,1564,1594,1613,1646,1678,1703,1728,1751,1773,1792,1816,1843,1870,1895,1931,1962,1984,2007,2036,2061,2083,2104,2122,2153,2176,2196,2224,2254,2266,2297,2328,2352,2376,2409,2436,2451,2477,2496,2517,2556,2591,2628,2658,2688,2718,2745,2773,2813,2844,2892,2918,2973,3032,3082,3133,3170,3224,3271,3334,3373,3405,3457,3518,3567,3646,3706,3749,3807,3878,3952,4018,4073,4126,4190,4246,4312,4380,4451,4509,4569,4648,4723,4774,4827,4876,4952,5004,5060,5106,5164,5211,5254,5302,5347,5400,5459,5508,5581,5645,5704,5775,5845,5906,5968,6039,6113,6189,6252,6323,6392,6473,6557,6640,6706,6800,6898,7013,7101,7201,7299,7406,7519,7612,7711,7824,7927,8028,8148,8256,8378,8491,8608,8715,8830,8945,9069,9189,9310,9443,9588,9730,9863,10004,10151,10329,10502,10667,10841,10992,11161,11366,11586,11800,12025,12283,12516,12777,13021,13272,13517,13760,14038,14299,14602,14906,15199,15488,15768,16073,16373,16666,16966,17246,17548,17851,18177,18515,18846,19197,19571,19910,20259,20622,21013,21386,21758,22137,22511,22945,23347,23761,24156,24586,25033,25491,25968,26407,26856,27309,27776,28276,28774,29302,29850,30363,30903,31453,32013,32537,33142,33687,34292,34874,35473,36083,36666,37308,37927,38585,39245,39917,40575,41263,41945,42624,43357,44079,44868,45629,46405,47207,48024,48816,49728,50598,51535,52492,53403,54418,55476,56496,57611,58729,59885,61103,62327,63556,64807,66013,67270,68539,69866,71182,72616,74016,75435,76954,78450,79973,81531,83104,84725,86334,87919,89652,91377,93040,94916,96750,98646,100578,102510,104441,106597,108610,110736,112939,115173,117492,119751,122052,124352,126693,129013,131491,133817,136250,138686,141083,143589,146082,148747,151383,153976,156616,159403,162166,164960,167997,171021,174144,177427,180772
1,1,1,2,4,4,4,5,7,8,9,12,14,14,16,18,20,21,24,24,24,24,24,26,26,27,30,30,31,32,35,38,42,47,50,52,52,54,56,58,61,62,66,68,70,74,75,78,80,80,80,82,84,85,86,92,94,96,97,101,104,108,112,118,126,132,134,144,146,149,158,164,173,176,180,189,194,205,210,213,221,231,239,249,255,265,268,272,281,285,291,298,303,314,322,331,337,339,342,349,354,360,362,367,373,381,386,392,399,400,406,417,423,428,433,438,442,445,452,459,469,478,484,487,489,495,503,511,519,524,533,547,554,572,584,599,607,618,626,640,655,668,686,697,712,727,741,753,766,781,795,805,820,832,845,857,870,888,901,926,943,963,980,996,1016,1030,1043,1066,1076,1096,1114,1142,1158,1177,1204,1231,1247,1264,1282,1301,1325,1339,1366,1390,1420,1440,1476,1514,1544,1593,1646,1687,1739,1783,1839,1906,1970,2030,2089,2156,2203,2267,2320,2375,2447,2492,2536,2590,2642,2707,2769,2819,2870,2920,2987,3041,3095,3145,3192,3274,3353,3420,3483,3553,3636,3703,3786,3864,3930,4011,4076,4145,4209,4278,4360,4421,4494,4562,4620,4680,4747,4805,4857,4912,4979,5036,5101,5170,5247,5305,5383,5456,5537,5602,5691,5781,5862,5965,6064,6181,6287,6409,6497,6587,6673,6786,6898,7021,7140,7243,7339,7432,7533,7628,7726,7824,7929,8029,8143,8255,8351,8436,8534,8634,8730,8805,8886,8982,9081,9201,9310,9413,9512,9615,9720,9849,9949,10068,10177,10308,10416,10555,10697,10807,10924,11062,11201,11341,11475,11612,11727,11857,11996,12146,12295,12443,12591,12761,12901,13050,13179,13293,13448,13604,13758,13905,14056,14232,14390,14560,14710,14895,15045,15218,15404,15632,15880,16111,16339,16584,16813,17112,17373,17680,17961,18257,18529,18825,19186,19552,19915,20326,20765,21239,21679,22136,22637,23163,23733,24245,24797,25323,25951,26589,27252,27854,28538,29220,29957,30677,31471,32300,33163,34002,34878,35751,36672,37615,38633,39589,40554,41522,42495,43517,44551,45567,46654,47683,48651,49710,50759,51840,52935,53982,55088,56251,57389,58542,59714,60916,61996,63181,64391,65630,66855,68142,69436,70741,72026,73375,74728,76098,77553,79003,80488,82056,83576,85092,86745,88364,90081,91815,93569,95286,97111,98976,100816,102744,104705,106627,108554,110520,112571,114700,116716,118883,121017,123256,125554,127955,130373,132779,135346,137883,140435,143072,145786,148357,151003,153682,156457,159332,162200,165027,167793,170608,173552,176575,179682,182839,185855,189060,192250,195506,198847,202347,205893,209533,213156,216780,220578,224381,228257,232095,236035,240043,244089,248136,252410,256747,261193,265724,270296,274995,279768,284585,289541,294408,299505,304604,309914,315202,320555,326060,331603,337340,343051
1,1,1,2,3,5,6,7,9,10,11,12,13,14,15,17,18,18,18,20,22,25,28,31,34,34,38,42,43,45,47,48,51,52,59,63,65,70,77,80,80,80,81,83,88,94,103,111,115,122,128,129,132,135,138,144,148,154,159,163,168,171,176,177,184,193,201,209,217,224,231,244,252,259,270,283,292,303,313,320,332,346,361,369,382,393,404,418,432,441,451,462,470,477,486,505,515,529,543,561,571,581,596,607,614,626,634,645,653,664,672,678,693,700,710,717,726,730,740,754,763,771,781,790,799,804,816,827,837,847,862,874,887,899,913,924,946,962,973,986,1015,1041,1059,1075,1086,1106,1118,1129,1142,1164,1179,1194,1211,1239,1268,1296,1319,1330,1362,1386,1423,1453,1477,1505,1534,1564,1596,1642,1680,1713,1752,1795,1819,1875,1912,1952,1984,2027,2067,2104,2143,2182,2216,2263,2301,2344,2398,2434,2485,2523,2574,2610,2658,2688,2722,2768,2809,2852,2890,2944,2994,3046,3101,3145,3203,3259,3310,3357,3414,3481,3547,3608,3672,3740,3802,3874,3936,4016,4075,4145,4204,4283,4354,4430,4495,4553,4635,4709,4791,4881,4958,5037,5125,5224,5316,5402,5499,5618,5714,5798,5898,6024,6126,6251,6373,6518,6656,6783,6921,7058,7219,7373,7551,7727,7878,8077,8261,8474,8689,8912,9131,9353,9598,9848,10133,10385,10675,10959,11273,11553,11858,12193,12500,12839,13219,13617,14032,14474,14913,15351,15846,16360,16899,17493,18141,18820,19492,20204,20896,21675,22432,23138,23872,24620,25361,26142,26892,27712,28489,29337,30169,31047,31965,32937,33872,34874,35879,36953,38049,39158,40225,41364,42454,43591,44734,45886,47027,48240,49529,50765,52167,53518,54852,56247,57623,59033,60528,61913,63473,64911,66464,67992,69554,71162,72780,74398,76053,77746,79401,81086,82796,84557,86306,88049,89845,91703,93639,95624,97583,99608,101678,103825,105957,108152,110381,112627,114919,117372,119832,122453,125119,127804,130631,133492,136475,139542,142658,145776,149032,152253,155598,159022,162502,165958,169433,173059,176582,180416,184207,188048,191944,196062,200131,204291,208607,213090,217526,221946,226519,231062,235753,240499,245525,250463,255565,260714,265926,271310,276555,281821,287176,292728,298258,303906,309520,315307,321224,327230,333282,339266,345372,351667,357865,364210,370639,377227,384006,390887,397832,404867,411918,418862,426092,433324,440678,448114,455520,463078,470975,478744,486556,494565,502699,510920,519334,527906,536422,545406,554357,563492,572722,582156,591689,601281,611256,621399,631734,642031,652498,663214,674013,684794,695639,706819,718063,729655,741030,752491,764094,776079,788244,800461,812552,824922,837652,850518,863464,876792,890218,903744,917475,931106,944863,958856,973019,987361,1001815,1016580,1031454,1046277,1061261,1076059,1091579,1106723,1121967,1137556,1153158,1168913,1184669,1200578,1216681,1232928,1249210,1265699,1282498,1299004,1315736
1,1,1,1,1,2,5,5,5,7,8,8,10,11,11,13,14,16,18,18,18,18,20,21,24,25,26,28,28,29,29,31,31,32,34,35,40,40,40,42,45,45,46,46,46,47,47,47,47,47,48,50,50,51,54,57,59,63,67,72,76,80,82,86,89,94,96,101,104,108,114,116,120,125,126,130,132,138,142,148,153,157,167,177,181,188,197,204,210,218,225,231,236,239,246,255,263,272,283,290,295,303,313,318,326,340,351,360,374,379,385,395,400,410,421,431,442,450,456,469,474,483,491,503,509,514,523,531,546,558,570,577,581,589,599,611,622,632,644,649,660,664,669,680,689,695,701,711,718,723,731,735,742,748,756,770,779,789,795,803,808,818,826,833,841,850,862,874,882,901,918,943,984,1005,1028,1056,1077,1096,1133,1162,1192,1229,1267,1298,1330,1355,1396,1437,1474,1513,1553,1583,1606,1643,1684,1718,1746,1784,1821,1849,1880,1917,1955,1994,2035,2064,2097,2125,2172,2199,2243,2278,2316,2359,2401,2438,2480,2521,2569,2631,2678,2732,2786,2831,2881,2934,2989,3040,3091,3160,3230,3296,3376,3461,3543,3625,3722,3785,3888,3975,4064,4149,4241,4328,4424,4531,4649,4779,4881,5003,5119,5254,5387,5524,5644,5790,5946,6117,6298,6462,6621,6821,7035,7268,7504,7727,7966,8206,8428,8646,8885,9145,9374,9649,9908,10142,10414,10645,10902,11153,11435,11708,11962,12207,12488,12746,13004,13275,13564,13864,14140,14422,14711,15069,15398,15752,16118,16513,16902,17303,17714,18132,18594,19064,19479,19933,20372,20794,21266,21722,22180,22648,23130,23620,24110,24612,25122,25610,26077,26567,27096,27661,28179,28731,29281,29872,30500,31085,31670,32280,32864,33532,34144,34805,35480,36163,36881,37545,38274,39007,39738,40428,41158,41921,42679,43424,44219,45014,45817,46629,47455,48331,49223,50148,51105,52074,53117,54128,55219,56298,57367,58482,59669,60859,62057,63311,64558,65838,67101,68388,69766,71140,72434,73851,75268,76742,78239,79682,81253,82981,84664,86455,88208,90007,91827,93712,95667,97636,99612,101576,103667,105640,107709,109885,112096,114294,116515,118817,121134,123529,125983,128403,130900,133665,136359,139044,141934,144769,147677,150561,153542,156508,159557,162602,165705,168898,172031,175153,178383,181630,184967,188402,191931,195524,199294,202965,206749,210516,214457,218471,222577,226713,230937,235277,239643,244074,248684,253457,258084,262944,267643,272435,277396,282342,287468,292599,297802,303235,308711,314343,319886,325659,331440,337501,343750,349938,356213,362576,369363,375864,382554,389374,396136,403063,410216,417328,424526,432078,439567,447171,454746,462464,470317,478181,486245,494548,502971,511375,519946,528654,537439,546464,555645,564945,574565,584299,594167,604258,614279,624400,634801,645259,655856,666475,677437,688228,699485
1,1,1,1,1,1,1,2,2,3,4,4,5,6,6,6,6,6,8,9,12,13,13,13,16,16,19,20,22,26,30,36,37,39,45,55,67,72,75,80,85,89,94,96,100,101,101,106,112,118,124,127,131,138,139,143,145,152,154,159,166,170,174,178,183,187,195,201,204,207,209,215,221,226,228,231,232,238,243,253,260,264,270,275,286,290,294,299,303,310,316,319,327,332,335,342,344,357,361,373,378,385,394,408,417,424,435,448,464,481,497,513,533,560,578,594,619,642,674,705,740,767,795,827,848,877,906,937,958,987,1013,1038,1055,1083,1115,1145,1162,1187,1212,1240,1278,1308,1332,1357,1381,1408,1441,1467,1502,1550,1588,1611,1634,1662,1693,1730,1767,1794,1820,1855,1885,1919,1961,1992,2034,2072,2111,2141,2172,2198,2238,2265,2300,2335,2366,2416,2454,2486,2522,2560,2590,2644,2700,2755,2821,2879,2936,3002,3053,3117,3193,3285,3371,3466,3556,3641,3726,3794,3882,3977,4071,4167,4274,4385,4484,4557,4654,4751,4833,4937,5024,5115,5201,5284,5373,5436,5513,5593,5660,5733,5788,5850,5908,5982,6048,6116,6176,6246,6309,6378,6448,6508,6574,6656,6735,6827,6925,7031,7129,7225,7318,7428,7528,7652,7810,7923,8054,8210,8357,8519,8678,8850,9028,9216,9425,9619,9800,10009,10185,10376,10551,10755,10969,11200,11405,11608,11840,12040,12255,12453,12691,12911,13145,13350,13579,13811,14023,14239,14478,14713,14940,15151,15371,15617,15856,16085,16320,16522,16763,17004,17271,17569,17810,18086,18396,18693,19007,19335,19699,20046,20450,20861,21265,21663,22067,22488,22910,23343,23801,24246,24644,25073,25547,26000,26467,26902,27374,27834,28263,28738,29205,29657,30217,30691,31176,31669,32153,32613,33093,33639,34114,34639,35160,35652,36217,36737,37293,37859,38471,39058,39649,40269,40920,41577,42274,43033,43820,44664,45464,46271,47098,47937,48768,49630,50467,51340,52262,53081,53925,54807,55647,56523,57406,58284,59149,60015,60901,61873,62805,63793,64733,65757,66845,67927,69026,70120,71177,72285,73419,74605,75761,76910,78078,79264,80427,81620,82846,84135,85481,86795,88154,89518,90895,92330,93815,95238,96744,98235,99788,101410,103136,104856,106607,108337,110155,112062,113986,116002,117956,119978,121997,124056,126092,128259,130506,132717,135032,137350,139690,142087,144535,146905,149511,151930,154453,156974,159591,162264,164870,167588,170261,173054,175844,178711,181551,184390,187209,190129,193143,196157,199245,202246,205358,208559,211742,215035,218463,221848,225181,228690,232171,235593,239095,242651,246342,249985,253766,257447,261443,265452,269443,273552,277799,281961,286249,290641,294993,299462,303987,308622,313508,318310,323356,328525,333725,338907,344452,349971,355749,361607,367509,373534,379686,385946,392308,398763,405342,411883,418619,425315,432146,439063,446131,453296,460578,467944,475548
1,1,1,1,1,2,5,5,5,8,11,11,11,11,11,14,14,18,20,24,27,27,27,31,32,34,38,42,43,47,53,59,67,68,73,77,80,83,91,96,104,107,110,116,118,121,127,131,137,138,144,148,153,156,160,161,165,171,173,182,186,191,199,200,206,214,216,221,224,226,231,240,245,256,260,268,278,281,283,293,302,309,319,325,339,356,366,372,381,392,398,406,419,433,440,447,463,473,479,487,505,517,524,531,552,557,571,577,589,595,608,616,629,649,660,672,686,697,710,723,733,738,746,759,775,793,808,823,841,848,869,887,903,916,928,947,963,975,984,997,1009,1026,1044,1059,1068,1090,1111,1125,1133,1140,1155,1169,1182,1194,1205,1220,1244,1255,1266,1277,1292,1303,1312,1331,1344,1362,1380,1401,1420,1436,1456,1476,1492,1503,1520,1540,1560,1585,1603,1627,1641,1658,1675,1703,1725,1743,1760,1781,1799,1814,1833,1851,1874,1895,1917,1939,1973,2004,2023,2054,2077,2111,2144,2171,2207,2237,2274,2310,2340,2371,2392,2421,2454,2485,2526,2571,2623,2668,2709,2745,2803,2858,2930,2990,3060,3120,3188,3253,3325,3407,3475,3563,3649,3727,3836,3937,4045,4146,4261,4375,4501,4635,4779,4923,5101,5264,5424,5605,5774,5960,6148,6329,6536,6756,6962,7181,7389,7570,7783,8012,8248,8509,8784,9040,9292,9552,9800,10069,10347,10608,10895,11182,11460,11748,12031,12321,12603,12897,13175,13447,13757,14026,14298,14563,14832,15080,15384,15683,15954,16216,16496,16799,17097,17382,17677,17960,18248,18501,18801,19103,19379,19667,19942,20211,20522,20814,21093,21386,21692,21953,22261,22556,22867,23195,23511,23837,24160,24515,24857,25225,25598,25920,26310,26704,27117,27553,27956,28401,28845,29320,29813,30311,30825,31309,31761,32261,32769,33247,33776,34298,34831,35397,35945,36555,37111,37687,38234,38802,39437,40048,40684,41361,42013,42733,43397,44104,44823,45537,46266,47056,47809,48656,49490,50391,51337,52282,53293,54340,55402,56520,57653,58708,59810,60900,62003,63136,64278,65488,66694,67939,69186,70483,71842,73024,74365,75667,77017,78384,79808,81257,82753,84342,85854,87451,89018,90655,92343,94003,95713,97464,99251,101060,103041,105030,106933,108887,110930,113008,115044,117186,119395,121741,124082,126456,128863,131256,133784,136266,138887,141656,144374,147115,150001,152867,155867,158800,161900,165015,168153,171314,174450,177648,180823,184038,187310,190657,194136,197576,201151,204836,208513,212359,216314,220370,224383,228639,232851,237295,241750,246305,251077,255803,260561,265560,270549,275638,280796,286296,291896,297400,303200,308935,314760,320733,326872,333232,339539,346182,352798,359501,366307,373207,380282,387400,394813,402331,410067,417874,425839,434001,442181,450792,459627,468408,477404,486732,496100,505570,515326,525217,535232,545397,555739,566357,577154,587882,598695
1,1,1,1,2,4,5,6,9,9,12,12,14,18,21,23,24,25,25,29,30,30,33,35,41,44,49,56,63,70,75,80,90,102,113,129,144,155,162,180,193,210,225,255,269,291,308,328,345,366,389,409,435,453,480,503,533,552,574,606,630,658,692,710,739,761,788,814,840,862,884,918,958,1002,1050,1091,1132,1174,1218,1259,1302,1349,1400,1444,1506,1560,1614,1668,1736,1788,1859,1923,1987,2042,2096,2164,2208,2274,2346,2429,2490,2562,2619,2698,2764,2831,2917,3000,3073,3144,3210,3291,3365,3439,3507,3586,3676,3754,3829,3899,3993,4085,4187,4295,4396,4503,4591,4680,4782,4894,4996,5090,5204,5328,5440,5529,5652,5785,5914,6047,6190,6326,6479,6599,6770,6947,7099,7259,7421,7580,7724,7888,8075,8266,8437,8619,8797,8983,9150,9333,9492,9656,9823,10021,10177,10343,10533,10734,10927,11076,11235,11394,11585,11793,11997,12187,12377,12585,12806,13017,13269,13489,13732,13946,14179,14405,14640,14871,15138,15375,15625,15911,16211,16466,16771,17048,17318,17632,17925,18218,18503,18831,19173,19559,19904,20270,20617,20983,21323,21688,22082,22525,22879,23280,23708,24086,24507,24924,25377,25869,26336,26821,27333,27821,28339,28830,29355,29941,30478,31012,31520,32064,32537,33055,33599,34165,34736,35272,35830,36354,36954,37500,38071,38694,39292,39868,40507,41158,41838,42510,43173,43923,44687,45490,46325,47144,48003,48884,49789,50689,51667,52694,53722,54783,55871,56999,58154,59319,60546,61782,62954,64278,65579,66877,68213,69610,71028,72481,73924,75442,77027,78590,80161,81769,83379,84990,86636,88360,90051,91735,93503,95267,97075,98939,100806,102789,104640,106592,108590,110685,112717,114785,116804,118983,121054,123152,125310,127342,129526,131666,133866,136216,138441,140699,143019,145395,147756,150175,152570,155067,157644,160287,162859,165525,168215,171024,173865,176795,179734,182695,185689,188795,191946,195230,198596,202017,205552,209216,212821,216616,220380,224360,228321,232264,236315,240332,244403,248577,252823,256975,261335,265711,270092,274525,279092,283738,288507,293267,298096,303056,308037,313158,318415,323648,329109,334643,340264,345929,351808,357560,363650,369711,375780,382211,388761,395389,401977,408847,415748,422662,429821,437061,444308,451765,459238,467072,474900,482781,490736,498916,507244,515714,524292,532882,541771,550887,559927,569315,578609,588195,597764,607460,617537,627874,638332,648875,659826,670780,682062,693334,704831,716522,728497,740594,752949,765243,777745,790576,803368,816106,829141,842304,855480,868691,882129,895489,909148,922671,936570,951019,965357,979645,994091,1008694,1023635,1038632,1053684,1068747,1084012,1099328,1114824,1130253,1145988,1161875,1177875,1194070,1210556,1227165,1243691,1260306,1277207,1294124,1311197,1328380,1345750,1363214,1380800,1398670,1416711,1435010,1453332,1471730,1490278,1508868,1527465,1546407,1565097,1583939,1602886,1622275,1641569,1661228,1681203,1701221,1721281,1741485,1761876,1782384,1802959,1823851,1844700,1865820,1886830,1908028,1929271,1950662,1972313,1993895,2015412,2037267,2059517,2081998,2104536,2126769,2149350,2172140,2195047
1,1,1,1,1,1,3,4,4,4,8,10,11,12,12,13,13,14,15,20,20,24,29,34,35,37,40,41,43,46,48,54,60,70,76,78,81,83,87,92,93,98,102,106,111,113,118,121,125,127,130,137,137,140,145,149,152,153,156,162,164,173,174,176,178,180,181,190,191,196,200,203,205,205,206,211,215,217,219,222,227,230,236,240,246,247,253,257,266,270,276,276,281,286,291,300,304,311,320,328,333,339,344,354,358,364,370,376,383,387,397,402,411,418,424,429,434,440,451,454,462,471,479,486,490,497,502,512,517,521,525,534,536,541,547,553,558,566,573,577,581,588,590,595,598,602,606,610,612,618,620,627,630,635,641,646,649,661,668,675,682,689,694,699,705,710,714,719,723,729,737,740,744,747,753,756,763,764,773,775,784,787,792,795,800,805,806,810,810,811,816,823,825,829,830,834,837,839,842,845,849,852,852,857,860,862,866,870,876,882,890,896,898,900,903,904,907,909,914,916,922,926,934,936,941,943,951,955,963,971,976,981,986,995,1003,1005,1006,1010,1013,1018,1024,1030,1033,1038,1041,1048,1055,1055,1060,1064,1070,1076,1081,1093,1103,1111,1118,1120,1125,1132,1139,1149,1156,1163,1166,1171,1176,1185,1191,1203,1210,1219,1231,1240,1245,1246,1253,1258,1262,1270,1277,1284,1290,1301,1312,1322,1332,1338,1345,1358,1368,1377,1385,1399,1413,1425,1442,1454,1471,1481,1500,1519,1533,1539,1555,1565,1576,1591,1606,1624,1638,1652,1674,1694,1714,1731,1752,1766,1790,1809,1832,1843,1864,1883,1893,1917,1944,1975,2012,2048,2072,2111,2152,2229,2311,2400,2507,2609,2730,2854,2973,3109,3231,3342,3452,3581,3693,3803,3923,4036,4174,4289,4423,4550,4711,4882,5037,5241,5443,5631,5823,5994,6186,6369,6554,6737,6933,7121,7317,7513,7743,7991,8216,8470,8699,8996,9304,9572,9832,10147,10434,10725,11021,11347,11641,11954,12246,12601,12891,13192,13550,13859,14187,14548,14849,15213,15580,15909,16240,16579,16933,17240,17582,17963,18326,18677,19066,19445,19891,20356,20789,21243,21720,22285,22790,23331,23890,24508,25110,25776,26437,27094,27819,28525,29271,30010,30732,31454,32265,33030,33790,34587,35449,36276,37163,38059,39022,39929,40882,41907,42937,43988,45090,46265,47405,48657,49932,51144,52408,53762,55157,56562,57961,59365,60836,62424,63912,65462,67008,68568,70185,71848,73562,75262,76975,78678,80456,82270,84140,86064,88017,89982,91903,93932,95929,97950,99964,102072,104244,106384,108501,110655,112904,115194,117535,119940,122372,124844,127459,130068,132744,135409,138149,140989,143908,146736,149744
1,1,1,1,1,1,2,2,2,3,3,5,5,6,7,8,11,12,13,13,13,13,13,13,15,17,19,20,20,25,25,27,29,29,30,30,30,30,30,31,31,33,33,37,40,41,44,45,45,45,45,46,55,56,58,61,65,69,71,74,75,80,83,90,92,95,97,98,104,110,115,118,119,122,124,128,132,135,138,138,141,143,146,148,150,154,157,160,164,169,170,173,177,179,184,186,196,200,211,219,231,243,258,267,274,285,296,314,330,341,353,361,371,385,393,410,423,428,441,447,453,465,475,487,495,504,511,517,524,535,543,554,560,568,573,583,593,599,606,619,623,626,633,641,649,659,665,670,675,680,687,695,700,710,712,717,720,721,726,731,734,737,741,745,746,748,754,758,761,762,767,769,774,775,778,781,786,787,792,801,807,813,815,819,823,828,832,839,848,851,857,864,871,876,881,884,891,896,898,912,918,926,934,946,958,962,970,978,989,1001,1012,1024,1031,1037,1047,1057,1071,1086,1099,1112,1124,1134,1148,1159,1173,1184,1197,1210,1224,1249,1267,1281,1289,1309,1320,1332,1348,1361,1388,1409,1430,1449,1466,1483,1496,1508,1523,1543,1551,1565,1585,1604,1624,1642,1655,1664,1678,1694,1704,1725,1734,1747,1779,1807,1823,1851,1874,1902,1926,1953,1991,2016,2042,2069,2103,2137,2172,2206,2230,2268,2293,2319,2349,2376,2395,2429,2446,2468,2484,2513,2541,2567,2598,2632,2684,2726,2764,2803,2836,2885,2941,3004,3037,3088,3142,3195,3256,3310,3375,3435,3503,3568,3636,3692,3758,3828,3899,3982,4062,4129,4216,4295,4383,4485,4580,4671,4755,4838,4928,5011,5107,5183,5282,5380,5481,5590,5684,5803,5897,6026,6130,6225,6336,6450,6555,6667,6799,6957,7082,7219,7381,7530,7687,7824,7983,8153,8326,8495,8680,8862,9068,9277,9481,9680,9895,10112,10339,10567,10802,11066,11293,11513,11765,12021,12295,12545,12806,13046,13329,13593,13868,14120,14397,14670,14927,15202,15499,15804,16084,16391,16672,16961,17288,17602,17906,18247,18598,18985,19368,19774,20170,20546,20936,21346,21753,22183,22655,23125,23641,24124,24655,25167,25751,26311,26898,27494,28077,28673,29267,29883,30458,31116,31765,32406,33114,33767,34455,35176,35890,36657,37398,38180,38938,39734,40538,41364,42253,43167,44053,44946,46001,46960,47936,48933,49911,50931,52029,53070,54071,55192,56267,57315,58380,59463,60625,61846,62984,64149,65334,66512,67734,68967,70260,71584,73002,74369,75733,77198,78624,80153,81634,83082,84688,86233,87869,89554,91270,92950,94686,96433,98166,99836,101790,103557,105356,107250,109106,111068,113053,115116,117148,119317,121484,123678,125900,128162,130604
1,1,1,1,2,2,3,4,5,9,12,13,14,14,15,18,23,27,30,33,38,41,43,50,54,59,65,67,69,74,81,83,87,96,104,110,114,116,119,125,127,130,131,136,142,150,153,157,159,161,163,169,172,176,181,185,185,190,196,200,204,208,214,221,225,232,238,245,252,264,270,276,279,282,292,300,310,320,328,338,351,360,368,373,379,388,395,408,424,435,444,455,463,476,484,493,503,515,539,550,557,561,570,580,590,594,604,609,617,622,632,640,650,657,672,682,689,696,702,710,721,729,742,752,757,769,784,794,804,811,819,835,847,863,875,888,902,916,932,942,954,969,983,1002,1020,1033,1053,1068,1091,1107,1125,1140,1159,1191,1212,1226,1255,1273,1290,1300,1312,1323,1346,1367,1396,1416,1436,1458,1487,1508,1532,1557,1576,1595,1619,1641,1664,1695,1718,1739,1762,1790,1817,1848,1871,1896,1919,1941,1959,1984,2010,2024,2041,2066,2089,2111,2136,2157,2179,2205,2231,2261,2296,2322,2353,2373,2401,2436,2480,2507,2537,2571,2604,2634,2669,2705,2740,2777,2801,2826,2857,2879,2915,2945,2979,3013,3039,3062,3108,3147,3184,3222,3249,3273,3306,3332,3365,3391,3422,3449,3478,3511,3554,3588,3616,3650,3679,3704,3742,3788,3831,3869,3908,3947,4001,4044,4080,4126,4175,4213,4247,4285,4325,4372,4405,4452,4498,4541,4584,4649,4695,4751,4821,4878,4945,5021,5100,5187,5285,5374,5479,5575,5670,5779,5905,6016,6141,6252,6366,6469,6571,6669,6760,6876,6981,7077,7178,7286,7380,7461,7540,7643,7716,7798,7862,7961,8049,8141,8227,8316,8410,8493,8587,8666,8736,8826,8912,9008,9104,9211,9315,9428,9529,9625,9714,9828,9923,10033,10134,10233,10334,10440,10560,10678,10782,10879,10982,11104,11219,11369,11489,11602,11711,11835,11948,12082,12207,12307,12422,12533,12641,12757,12872,12984,13112,13232,13359,13516,13668,13803,13922,14051,14185,14344,14503,14661,14838,15004,15174,15330,15514,15693,15865,16032,16222,16410,16592,16812,17029,17231,17416,17668,17865,18089,18321,18543,18761,18979,19236,19484,19733,20019,20265,20515,20820,21076,21337,21607,21868,22137,22422,22720,23009,23317,23637,23961,24297,24638,24984,25349,25740,26137,26495,26929,27318,27733,28123,28559,28985,29418,29880,30338,30806,31317,31779,32259,32759,33255,33783,34277,34796,35392,36004,36598,37306,38028,38710,39441,40178,40953,41764,42541,43417,44339,45254,46208,47213,48154,49158,50164,51145,52174,53280,54332,55456,56522,57639,58779,59999,61194,62407,63719,64999,66341,67640,69005,70344,71756,73147,74648,76066,77572,79045,80559,82145,83731,85337,86976,88668,90466,92175,93941,95772,97649,99530,101453,103375,105316,107301,109323,111421,113592,115816,118144,120459,122764,125088
1,1,1,3,3,3,4,4,7,7,7,8,8,8,8,8,9,10,13,13,13,14,16,18,21,22,25,26,30,33,35,37,38,41,42,43,45,51,55,55,56,57,58,61,64,66,70,73,79,84,85,87,90,93,96,99,107,112,121,124,130,138,142,144,147,149,154,159,162,165,168,170,170,172,175,179,183,186,187,191,191,192,197,199,202,206,209,215,216,219,229,233,237,238,241,249,252,258,263,264,271,279,288,294,299,306,313,319,325,331,341,349,361,375,389,398,401,410,419,432,450,457,472,481,488,498,512,526,540,552,563,575,587,597,614,628,643,658,663,677,686,698,707,723,734,746,760,776,789,803,818,840,858,868,881,896,906,922,938,961,980,1005,1023,1046,1061,1085,1105,1132,1161,1188,1211,1237,1270,1301,1322,1357,1388,1418,1445,1483,1512,1539,1566,1600,1631,1662,1689,1718,1751,1774,1815,1842,1874,1904,1931,1965,2013,2048,2093,2139,2182,2221,2265,2307,2348,2398,2445,2481,2530,2573,2620,2661,2697,2733,2762,2800,2838,2874,2924,2978,3023,3059,3105,3143,3193,3237,3292,3337,3382,3436,3490,3535,3583,3636,3706,3767,3816,3882,3957,4013,4088,4144,4217,4298,4366,4423,4487,4541,4601,4648,4713,4773,4851,4947,5023,5090,5168,5246,5328,5419,5529,5638,5756,5855,5959,6077,6213,6363,6488,6633,6786,6926,7071,7252,7419,7571,7713,7881,8038,8192,8368,8530,8721,8901,9093,9283,9467,9657,9858,10060,10271,10491,10725,10965,11209,11445,11722,11985,12268,12570,12884,13200,13537,13866,14206,14531,14867,15204,15540,15893,16228,16568,16898,17214,17586,17937,18265,18582,18930,19280,19598,19954,20339,20720,21053,21409,21757,22106,22526,22907,23332,23739,24166,24578,25035,25499,25955,26416,26924,27430,27949,28474,28966,29454,29977,30561,31119,31676,32247,32823,33406,34036,34670,35280,35994,36659,37334,38056,38731,39488,40234,40948,41750,42515,43267,44015,44774,45576,46437,47322,48265,49159,50150,51168,52180,53184,54243,55343,56490,57643,58867,60194,61505,62847,64147,65478,66874,68225,69595,70992,72394,73827,75325,76741,78191,79677,81123,82661,84187,85738,87282,88886,90473,92174,93865,95651,97501,99366,101200,103157,105112,107058,109039,111026,113045,115260,117418,119556,121731,124066,126393,128726,131045,133397,135877,138414,140936,143526,146209,148876,151644,154401,157189,160167,163056,166007,169007,172049,175202,178207,181268,184424,187717,191037,194411,197827,201325,204865,208439,212233,216083,219990,223986,227978,231988,236050,240263,244507,248926,253367,257846,262362,266974,271747,276542,281422,286451,291583,296767,301927,307228,312662,318343,324060,329999,335981,342008,348332,354668,361032,367541,374219,380918,387789,394726,401969,409077,416435,423889,431424,439076,446909,454853,462788,470738,478898,487209
1,1,1,1,1,1,1,2,2,2,2,3,4,6,7,7,7,7,7,9,9,11,11,13,13,16,18,18,21,23,27,28,30,31,32,35,41,43,45,52,56,59,67,76,84,88,95,104,111,117,123,131,141,158,168,181,192,198,207,217,229,246,257,273,292,305,321,333,347,364,373,387,404,415,426,447,460,475,483,490,502,520,536,544,556,565,570,578,589,597,605,615,624,630,639,648,662,672,681,694,706,712,725,738,748,766,782,805,824,840,859,870,892,907,928,949,981,1010,1030,1061,1089,1120,1149,1180,1202,1242,1269,1293,1327,1355,1382,1405,1437,1465,1495,1521,1552,1579,1611,1637,1668,1692,1712,1740,1767,1795,1832,1869,1905,1931,1955,1980,2000,2028,2061,2090,2117,2138,2165,2192,2219,2243,2273,2300,2327,2359,2396,2427,2466,2492,2523,2570,2605,2644,2671,2717,2745,2790,2819,2850,2886,2919,2950,2985,3015,3054,3094,3134,3173,3203,3223,3245,3276,3302,3337,3369,3399,3415,3440,3474,3492,3525,3553,3581,3611,3636,3659,3685,3706,3725,3746,3778,3802,3827,3852,3877,3903,3935,3959,3983,4009,4050,4089,4129,4157,4196,4241,4288,4326,4384,4429,4480,4526,4571,4628,4666,4708,4765,4797,4854,4903,4957,5012,5050,5103,5156,5200,5257,5329,5372,5422,5492,5562,5616,5669,5743,5806,5900,5981,6064,6174,6288,6409,6537,6663,6794,6916,7040,7150,7266,7377,7475,7598,7724,7825,7938,8037,8139,8247,8350,8436,8523,8605,8687,8758,8846,8929,9026,9113,9199,9281,9361,9449,9531,9614,9694,9799,9894,9995,10099,10206,10297,10393,10485,10604,10731,10829,10927,11023,11135,11247,11384,11497,11613,11740,11858,11986,12111,12227,12366,12512,12640,12759,12899,13039,13208,13347,13482,13630,13808,13966,14130,14300,14481,14651,14832,15024,15205,15407,15604,15802,16023,16220,16445,16672,16906,17124,17361,17631,17880,18150,18413,18699,19000,19283,19607,19925,20252,20573,20919,21280,21657,22027,22397,22829,23184,23595,23991,24438,24855,25263,25683,26162,26586,26997,27428,27897,28345,28811,29276,29799,30310,30842,31389,31890,32427,32951,33496,34116,34715,35314,35884,36524,37148,37826,38474,39198,39882,40555,41283,41996,42730,43466,44273,45099,45892,46688,47514,48404,49281,50122,50982,51860,52793,53735,54702,55713,56686,57746,58809,59842,60956,62067,63178,64367,65599,66794,68040,69261,70569,71913,73300,74698,76151,77697,79181,80793,82456,83989,85678,87459,89157,90978,92758,94593,96532,98471,100365,102297,104339,106452,108551,110769,112934,115125,117469,119790,122155,124639,127156,129790,132510,135245,138057,140916,143794,146807,149878,153003,156251,159537,162940,166363,169922,173607,177379,181087,184894,188851,192910,196931,201064,205217,209414,213773,218145,222627,227226,231815,236501,241256,246052,250912,255953,261032,266250,271630
1,1,1,1,1,1,1,1,3,5,6,6,7,8,8,10,13,16,18,19,21,27,28,33,36,38,38,43,47,48,53,61,69,72,75,82,89,94,100,111,119,121,125,136,137,139,144,148,155,165,180,190,197,205,211,217,224,229,240,248,257,265,271,271,276,285,299,308,322,334,343,350,359,369,378,397,408,420,431,441,457,468,480,493,502,509,522,543,552,564,574,589,606,612,623,638,650,658,674,688,700,710,712,722,736,747,761,774,783,796,808,819,831,845,857,873,887,896,916,929,946,959,975,984,995,1004,1012,1022,1033,1050,1071,1090,1112,1120,1130,1146,1164,1178,1192,1208,1226,1250,1268,1278,1292,1304,1320,1337,1347,1357,1371,1379,1391,1406,1423,1432,1445,1462,1477,1489,1499,1508,1519,1534,1546,1554,1569,1583,1596,1603,1616,1624,1637,1651,1658,1664,1684,1699,1710,1727,1744,1753,1765,1780,1792,1806,1819,1827,1850,1863,1877,1900,1912,1924,1944,1955,1972,1989,2001,2011,2030,2050,2071,2090,2115,2139,2159,2183,2204,2222,2235,2248,2277,2291,2308,2333,2353,2378,2404,2422,2447,2474,2501,2523,2548,2580,2604,2633,2659,2705,2732,2765,2801,2825,2851,2871,2903,2933,2969,3004,3056,3085,3124,3167,3211,3249,3282,3316,3370,3409,3459,3504,3563,3615,3659,3711,3762,3829,3877,3925,3992,4039,4093,4141,4192,4267,4323,4385,4448,4502,4563,4624,4702,4771,4857,4957,5074,5213,5377,5524,5673,5813,5956,6105,6248,6402,6563,6717,6854,6989,7134,7290,7432,7580,7728,7912,8119,8295,8496,8718,8961,9176,9390,9600,9830,10038,10284,10509,10731,10956,11178,11429,11658,11924,12204,12464,12744,13000,13253,13560,13880,14166,14453,14744,15065,15377,15656,15960,16272,16586,16876,17180,17527,17854,18169,18485,18805,19115,19476,19774,20125,20491,20826,21206,21578,21970,22344,22732,23148,23550,23943,24330,24745,25195,25655,26155,26650,27133,27657,28189,28715,29291,29856,30444,31058,31698,32382,33062,33813,34568,35360,36143,36946,37796,38624,39459,40312,41189,42075,42986,43895,44839,45780,46755,47798,48804,49865,50975,52060,53209,54296,55424,56678,57930,59230,60577,61960,63413,64801,66233,67676,69215,70778,72317,74029,75703,77491,79346,81209,83058,85023,87048,88956,91043,93158,95165,97279,99543,101778,104027,106356,108654,111127,113608,116111,118543,121035,123567,126210,129033,131807,134743,137807,140852,143892,147032,150087,153294,156516,159813,163194,166599,169977,173555,177068,180637,184437,188028,191869,195716,199752,203660,207730,211936,216020,220227,224487,228880,233389,237945,242531,247065,251722,256323,261148,266002,270991,275886,280869,285915,290938,296004,301267,306582,312002,317630,323272,328837,334583,340307,346271,352213,358330,364564,370847,377217,383724,390370,396956,403847,410877,417801,424940,431879,439077,446487,453983
1,1,1,1,2,2,2,2,4,6,6,8,10,12,15,18,20,22,24,25,27,32,35,39,44,46,47,49,53,54,56,61,62,68,70,74,82,87,88,95,96,98,105,109,116,119,121,126,130,137,143,150,157,159,167,174,181,184,191,198,203,206,211,214,219,225,230,230,238,243,254,265,272,277,283,285,288,295,302,308,311,316,320,322,329,333,335,341,344,346,350,352,354,363,365,369,373,377,386,395,397,400,406,411,419,422,427,436,439,443,447,449,454,463,467,475,484,496,503,510,517,530,545,554,567,577,587,599,607,615,623,637,648,659,667,679,690,697,703,708,716,726,730,735,740,747,755,765,776,787,793,799,809,819,825,830,842,847,858,869,880,889,902,913,925,934,945,952,960,964,972,977,985,991,999,1005,1012,1019,1028,1038,1044,1050,1058,1066,1073,1081,1088,1100,1110,1116,1121,1130,1137,1139,1146,1149,1150,1151,1158,1163,1168,1171,1173,1178,1181,1186,1189,1192,1194,1196,1198,1201,1203,1207,1208,1210,1211,1213,1214,1214,1215,1215,1219,1221,1224,1227,1233,1239,1247,1255,1261,1267,1274,1287,1300,1312,1321,1337,1347,1364,1382,1402,1419,1432,1452,1468,1482,1497,1502,1520,1534,1551,1559,1578,1593,1612,1629,1647,1664,1683,1695,1719,1737,1762,1785,1807,1825,1847,1875,1890,1914,1938,1967,1990,2009,2033,2053,2076,2105,2122,2142,2172,2209,2233,2262,2302,2326,2359,2398,2436,2474,2507,2552,2587,2626,2672,2736,2799,2859,2911,2977,3033,3088,3147,3223,3294,3375,3476,3591,3711,3818,3924,4043,4163,4296,4417,4544,4680,4827,4954,5079,5216,5383,5533,5700,5870,6064,6245,6432,6643,6834,7009,7198,7385,7567,7768,7956,8138,8332,8520,8722,8921,9112,9295,9477,9695,9879,10077,10309,10539,10766,10978,11189,11421,11679,11901,12162,12413,12686,12968,13255,13522,13828,14130,14464,14792,15119,15477,15798,16175,16540,16876,17270,17651,18033,18401,18799,19190,19590,19970,20369,20746,21167,21647,22100,22568,22992,23495,23906,24374,24844,25371,25896,26449,27039,27649,28274,28880,29545,30164,30829,31505,32216,32950,33655,34409,35240,35984,36817,37670,38500,39358,40224,41083,41970,42905,43851,44784,45778,46641,47638,48587,49590,50565,51548,52562,53571,54603,55676,56815,57990,59165,60415,61637,62906,64196,65474,66827,68260,69739,71153,72629,74252,75880,77495,79268,80982,82794,84607,86531,88441,90402,92364,94431,96448,98463,100582,102671,104804,106882,109078,111340,113510,115651,117804,120051,122310,124584,126832,129125,131465,133836,136253,138691,141212,143655,146217,148793,151494,154100,156864,159549,162410,165240,168200,171219,174338,177506,180689,183918,187221,190622,193990,197483,200934,204594,208234
1,1,1,1,2,2,2,3,4,6,6,7,7,7,9,10,11,13,14,16,16,19,19,19,20,20,22,23,24,25,28,30,32,34,35,36,38,40,43,44,46,51,54,57,59,61,64,69,73,75,76,76,81,82,86,89,91,95,98,99,101,109,115,118,123,131,137,142,142,144,147,152,158,164,167,174,187,194,199,206,215,222,229,236,243,254,262,272,282,292,298,306,313,322,333,349,359,374,387,395,398,409,418,425,433,439,449,459,466,473,479,491,494,503,511,518,523,535,542,548,561,573,579,584,592,595,611,624,634,643,648,659,667,685,697,711,723,742,756,765,775,785,805,816,824,832,847,865,882,895,909,926,953,972,991,1017,1037,1054,1079,1101,1118,1136,1161,1185,1207,1233,1250,1269,1292,1320,1339,1363,1386,1412,1440,1466,1494,1517,1529,1553,1579,1610,1644,1673,1698,1727,1756,1780,1817,1851,1883,1937,1982,2037,2096,2150,2204,2241,2297,2352,2420,2471,2548,2604,2673,2738,2786,2835,2882,2939,2992,3041,3092,3132,3185,3237,3280,3334,3392,3445,3486,3525,3574,3630,3677,3727,3784,3831,3875,3922,3982,4035,4089,4177,4252,4321,4408,4482,4550,4627,4719,4798,4890,4988,5079,5167,5266,5376,5489,5597,5687,5804,5917,6025,6128,6240,6361,6474,6597,6708,6831,6958,7091,7233,7348,7505,7647,7770,7945,8102,8271,8448,8624,8814,8992,9169,9333,9512,9716,9917,10116,10344,10567,10778,11034,11265,11483,11707,11967,12215,12456,12708,12976,13241,13503,13755,14057,14318,14586,14873,15158,15479,15801,16129,16481,16816,17158,17528,17893,18276,18700,19111,19525,19962,20437,20899,21350,21842,22273,22738,23207,23685,24173,24709,25230,25732,26268,26831,27354,27940,28543,29164,29853,30559,31243,31990,32669,33429,34201,35057,35867,36713,37577,38481,39402,40379,41318,42310,43334,44385,45335,46269,47292,48246,49232,50273,51260,52264,53317,54328,55380,56491,57584,58645,59746,60893,62030,63195,64357,65614,66883,68198,69462,70742,72060,73366,74703,76195,77570,79000,80423,81878,83376,84875,86490,88095,89712,91321,92973,94754,96622,98530,100442,102312,104359,106516,108710,110970,113193,115505,117949,120353,122811,125309,127843,130464,133270,136050,138865,141772,144636,147556,150551,153661,156851,160035,163302,166451,169755,173032,176400,179902,183388,187081,190730,194507,198298,202143,206168,210165,214240,218320,222455,226782,230988,235363,239742,244260,248949,253599,258208,262961,267663,272498,277439,282441,287419,292560,297865,303223,308568,313897,319384,324989,330656,336408,342331,348392,354363,360444,366733,372963,379471,386011,392791,399526,406405,413394,420474,427442,434589,441818,449342,456884,464664,472398,480355,488259,496312,504462,512708,521251,529805,538374,547287,556496,565734,575227,584772,594726,604635,614799,625043,635359,645846,656401,667176
1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,5,6,8,10,10,10,12,14,16,20,20,22,22,25,26,28,32,34,37,44,47,55,56,60,63,67,72,83,87,87,94,99,104,109,113,118,124,129,135,140,152,161,169,177,187,194,207,219,231,237,251,267,278,292,303,319,329,338,346,363,372,380,386,394,406,417,429,449,467,487,505,521,541,559,580,595,613,632,649,673,700,737,759,791,818,845,870,894,923,964,992,1010,1037,1059,1095,1128,1161,1193,1226,1253,1284,1313,1342,1374,1411,1446,1486,1517,1557,1596,1643,1696,1748,1810,1856,1907,1972,2042,2111,2174,2232,2303,2373,2451,2501,2577,2667,2721,2790,2863,2941,3012,3085,3155,3238,3310,3401,3495,3587,3658,3745,3835,3935,4037,4142,4246,4346,4438,4545,4631,4766,4885,5003,5141,5265,5401,5518,5644,5766,5892,6040,6180,6317,6466,6585,6738,6914,7084,7249,7410,7556,7705,7858,8045,8208,8355,8520,8672,8820,8987,9158,9322,9500,9660,9851,10019,10210,10425,10642,10847,11071,11306,11551,11785,12067,12391,12696,13022,13353,13709,14099,14464,14847,15251,15627,16058,16451,16842,17240,17672,18053,18468,18876,19296,19736,20156,20584,20946,21332,21743,22145,22533,22975,23457,23909,24333,24766,25245,25741,26223,26646,27116,27581,28058,28557,29018,29502,29972,30461,30987,31446,31976,32544,33041,33521,34048,34601,35127,35657,36209,36736,37295,37908,38528,39163,39756,40363,40979,41623,42256,42941,43607,44318,45080,45838,46687,47507,48402,49317,50216,51116,52028,52985,53914,54932,55927,56955,58010,59120,60222,61349,62433,63621,64786,65979,67158,68461,69755,71020,72248,73576,74925,76212,77580,78965,80397,81814,83237,84690,86238,87779,89325,90933,92552,94204,95883,97661,99539,101333,103116,105038,106933,108787,110736,112769,114761,116830,118900,121015,123158,125419,127590,129950,132220,134521,136970,139533,142033,144767,147363,150038,152810,155648,158517,161415,164439,167518,170710,173823,176998,180197,183638,187026,190519,194019,197687,201398,205282,209093,212962,216912,220883,225032,229202,233498,237774,242145,246586,251129,255735,260558,265410,270404,275358,280514,285643,290879,296136,301461,307017,312463,318243,323912,329742,335467,341173,347106,353062,359070,365212,371464,377701,383899,390199,396735,403356,410186,417012,423872,430814,437980,445105,452312,459664,467124,474733,482498,490256,498150,506200,514378,522508,530832,539318,547979,556647,565520,574709,584131,593576,603111,612631,622487,632451,642445,652449,662590,672762,682987,693352,703899,714574,725323,736134,747096,758270,769494,780771,791984,803451,815104,826782,838635,850696,862925,875230,887590,900332,913152,926102,939182,952519,965783,979333,992595,1006291,1020188,1034306,1048378,1062565,1077053,1091682,1106407,1121300,1136289,1151435,1166803,1182421,1198113,1213983,1230061,1246232,1262569,1279059,1295559,1312065,1329181,1346536,1363776,1381457,1399196,1416928,1435055,1452981,1471240,1489670,1508143,1526867,1545882,1564826
1,1,2,3,3,4,5,7,8,8,8,9,9,10,10,13,15,18,24,29,35,39,45,48,52,54,61,66,69,72,76,81,85,91,95,104,107,111,117,122,124,128,133,136,140,148,149,153,158,161,163,174,179,187,193,201,209,215,220,225,231,240,243,253,263,271,281,288,297,309,315,326,335,345,354,368,383,393,398,403,409,413,425,436,448,458,469,480,494,508,517,529,542,562,576,590,603,612,623,632,647,661,673,685,697,709,725,739,754,764,772,788,802,818,826,833,846,855,868,879,891,899,906,908,911,916,925,934,945,949,959,969,976,980,987,996,1000,1006,1012,1023,1034,1042,1051,1059,1071,1077,1084,1095,1103,1107,1116,1128,1136,1153,1159,1171,1176,1187,1200,1207,1210,1221,1234,1244,1253,1258,1266,1281,1293,1302,1309,1319,1323,1333,1345,1353,1365,1371,1376,1389,1396,1402,1411,1416,1422,1429,1443,1449,1457,1466,1474,1481,1486,1493,1499,1503,1513,1525,1534,1540,1547,1554,1559,1569,1578,1587,1592,1600,1611,1624,1632,1646,1653,1664,1672,1681,1690,1697,1708,1720,1734,1743,1758,1768,1782,1789,1794,1807,1817,1826,1833,1840,1851,1861,1877,1889,1902,1916,1926,1930,1937,1944,1951,1956,1964,1973,1977,1984,1989,1993,1996,1998,2003,2010,2012,2015,2016,2021,2023,2030,2033,2039,2040,2044,2048,2052,2056,2059,2064,2066,2068,2073,2075,2076,2077,2081,2082,2083,2084,2087,2088,2092,2093,2096,2102,2107,2115,2124,2127,2130,2139,2149,2162,2178,2187,2198,2212,2231,2249,2284,2310,2344,2384,2436,2479,2520,2560,2603,2636,2682,2726,2764,2804,2843,2876,2908,2943,2974,3015,3053,3103,3138,3174,3211,3248,3290,3317,3376,3425,3468,3534,3571,3629,3685,3741,3800,3855,3911,3992,4060,4128,4208,4290,4371,4442,4512,4568,4637,4685,4748,4805,4859,4917,4977,5013,5054,5104,5154,5216,5265,5301,5360,5400,5446,5490,5529,5568,5624,5674,5729,5776,5833,5888,5938,5991,6046,6103,6163,6264,6350,6439,6523,6611,6724,6842,6974,7101,7232,7350,7477,7594,7728,7833,7933,8035,8142,8256,8377,8488,8599,8700,8801,8908,9002,9115,9223,9344,9457,9566,9668,9776,9906,10049,10202,10342,10490,10646,10801,10956,11117,11302,11472,11659,11818,12000,12176,12378,12547,12717,12926,13103,13271,13447,13626,13816,13982,14152,14318,14519,14682,14823,14990,15161,15341,15495,15659,15822,16002,16171,16353,16537,16741,16926,17094,17277,17482,17670,17850,18035,18206,18379,18587,18761,18929,19109,19300,19482,19657,19863,20055,20253,20431,20631,20818,21008,21226,21415,21641,21857,22071,22293,22526,22742,23007,23237,23465,23685,23930,24184,24439,24679,24915,25167,25457,25726,25993,26247
1,1,1,1,1,2,3,3,3,4,6,7,7,7,7,7,7,7,8,8,9,12,13,14,16,16,16,18,18,19,20,22,22,24,25,26,27,28,29,29,30,32,34,37,38,42,47,48,51,53,54,56,57,58,59,59,61,65,66,67,69,73,77,81,86,88,94,96,99,102,102,105,106,107,112,122,123,129,132,138,140,144,148,154,155,158,158,167,175,179,186,190,203,210,219,227,234,242,247,254,260,265,276,287,300,306,325,340,350,359,370,381,383,393,406,413,426,441,449,458,464,475,489,502,517,527,535,542,550,553,563,573,582,591,596,600,604,610,618,619,622,627,633,636,640,643,646,653,657,659,663,668,677,679,688,690,694,700,706,711,717,724,731,742,751,759,774,784,801,822,839,863,874,886,903,922,935,952,968,988,1006,1021,1035,1050,1072,1089,1107,1128,1148,1163,1181,1196,1211,1230,1239,1245,1259,1284,1299,1322,1346,1359,1371,1390,1405,1415,1432,1446,1468,1488,1503,1518,1530,1546,1558,1570,1583,1594,1601,1609,1620,1634,1649,1655,1662,1671,1679,1686,1692,1706,1717,1726,1735,1742,1745,1752,1754,1759,1762,1764,1766,1770,1773,1777,1784,1789,1795,1799,1802,1803,1809,1813,1815,1822,1824,1825,1830,1834,1836,1844,1845,1847,1849,1852,1857,1859,1861,1862,1866,1867,1868,1869,1872,1875,1881,1886,1892,1896,1897,1900,1903,1903,1907,1910,1914,1915,1917,1919,1921,1921,1924,1927,1931,1932,1933,1935,1936,1936,1936,1936,1936,1938,1939,1940,1940,1941,1942,1943,1944,1944,1944,1944,1944,1944,1945,1945,1945,1946,1946,1946,1946,1946,1946,1946,1946,1946,1946,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
1,1,1,1,3,3,4,4,5,6,6,7,9,9,10,10,10,11,12,12,14,17,17,19,21,22,22,24,24,27,28,31,31,33,36,38,41,46,52,56,59,64,68,74,78,83,85,89,95,101,106,109,111,120,126,131,138,149,152,160,170,178,190,199,203,206,208,215,219,228,231,243,250,258,267,273,278,287,297,304,311,316,323,326,328,332,337,346,355,363,372,378,381,385,391,395,401,411,425,430,434,440,445,449,455,456,466,475,481,492,498,505,512,520,527,536,549,558,568,577,586,592,598,606,611,617,624,632,640,646,657,665,675,684,693,705,712,721,726,734,742,751,764,776,791,803,815,818,831,843,853,867,883,895,911,932,958,973,993,1008,1024,1051,1065,1082,1101,1125,1144,1167,1189,1215,1241,1265,1282,1299,1335,1358,1387,1423,1450,1482,1505,1534,1575,1607,1642,1671,1702,1730,1757,1796,1828,1864,1907,1934,1969,1995,2028,2067,2099,2139,2181,2218,2243,2280,2308,2343,2378,2408,2442,2497,2540,2577,2630,2669,2711,2758,2814,2871,2921,2973,3016,3057,3116,3179,3235,3286,3343,3425,3485,3549,3621,3694,3750,3821,3877,3952,4003,4084,4148,4213,4288,4356,4435,4530,4596,4676,4766,4842,4946,5039,5127,5224,5330,5417,5528,5630,5745,5845,5955,6082,6192,6302,6405,6507,6622,6719,6818,6948,7059,7168,7273,7399,7514,7639,7740,7858,7986,8108,8230,8341,8479,8622,8745,8870,9034,9159,9292,9416,9554,9677,9828,9961,10117,10300,10458,10614,10761,10944,11125,11332,11499,11712,11921,12150,12384,12631,12872,13124,13365,13588,13858,14097,14385,14652,14907,15204,15514,15830,16147,16479,16864,17208,17639,18007,18387,18798,19251,19685,20079,20533,20955,21383,21820,22234,22681,23122,23550,23970,24377,24829,25247,25681,26132,26583,27035,27470,27971,28441,28927,29431,29961,30512,31049,31631,32239,32873,33463,34070,34707,35378,35999,36692,37388,38142,38839,39592,40319,41106,41823,42589,43346,44127,44873,45602,46376,47139,47909,48672,49511,50319,51107,51910,52666,53531,54372,55265,56154,57000,57890,58834,59829,60856,61802,62789,63867,64981,66105,67254,68402,69622,70852,72097,73350,74643,75929,77183,78591,79906,81282,82728,84215,85647,87127,88607,90126,91655,93311,94941,96610,98310,99944,101704,103490,105304,107230,109149,111128,113301,115378,117520,119653,121860,124088,126416,128706,131094,133485,135958,138467,141074,143551,146143,148748,151568,154280,157054,160014,162999,166008,168980,172108,175218,178301,181548,184957,188398,191864,195377,198984,202681,206391,210207,214070,218006,221823,225764,229790,233873,237927,242142,246488,250747,254913,259356,263804,268252,272767,277542,282270,286931,291684,296600,301613,306668,311861,317198,322661,328174,333648,339192,344796,350547,356363,362443,368556,374673,380970
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1,1,1,2,3,3,4,4,6,8,8,8,8,8,8,8,8,8,8,10,12,13,15,15,16,18,18,18,23,25,28,28,29,30,30,31,33,36,38,43,43,47,49,51,53,53,56,58,60,66,71,74,78,82,86,93,95,99,103,110,112,117,119,122,124,126,127,132,135,137,143,146,149,154,155,158,160,160,163,165,166,171,172,174,176,178,181,181,183,183,186,186,190,192,195,199,204,207,209,214,218,228,231,235,241,251,256,267,276,281,283,285,291,300,308,318,326,338,350,359,368,379,389,400,407,419,435,448,460,470,482,496,506,510,522,534,552,562,575,594,611,622,639,654,671,687,703,723,736,752,776,786,799,814,829,850,865,881,899,914,931,946,963,979,1004,1023,1046,1064,1089,1106,1121,1137,1149,1179,1200,1215,1229,1250,1280,1295,1313,1341,1364,1387,1412,1436,1468,1494,1516,1536,1564,1599,1623,1675,1707,1740,1767,1796,1839,1869,1908,1963,1995,2038,2079,2122,2157,2212,2256,2294,2333,2354,2398,2439,2480,2522,2578,2619,2669,2707,2751,2792,2839,2879,2924,2961,2996,3042,3087,3135,3176,3216,3260,3306,3342,3392,3436,3477,3526,3574,3635,3679,3721,3769,3822,3881,3929,3986,4022,4079,4137,4192,4260,4330,4383,4434,4496,4562,4637,4694,4756,4816,4870,4949,5019,5087,5155,5234,5309,5384,5442,5515,5607,5693,5784,5865,5939,6039,6132,6233,6315,6404,6520,6642,6779,6910,7061,7176,7324,7486,7638,7794,7957,8100,8255,8435,8607,8791,8985,9155,9342,9565,9756,9946,10184,10386,10601,10812,11026,11286,11560,11830,12062,12326,12618,12922,13196,13508,13837,14161,14479,14805,15150,15438,15775,16124,16506,16859,17214,17599,17997,18371,18743,19143,19542,19943,20388,20833,21280,21701,22115,22576,23028,23487,23996,24508,25043,25571,26157,26730,27360,27969,28634,29335,30028,30723,31485,32241,33023,33851,34662,35563,36389,37284,38199,39080,39939,40815,41811,42740,43802,44797,45821,46839,47835,48913,49995,51061,52186,53300,54427,55619,56783,58038,59288,60526,61820,63160,64539,65935,67246,68601,69942,71347,72722,74140,75614,77109,78594,80080,81602,83161,84802,86467,88142,89877,91707,93635,95515,97492,99491,101563,103649,105784,107896,110097,112304,114546,116903,119272,121666,124117,126595,129106,131719,134241,136848,139527,142230,145002,147779,150691,153655,156666,159671,162831,166088,169442,172847,176177,179735,183372,187015,190746,194500,198370,202273,206227,210163,214194,218359,222429,226597,230926,235331,239709,244236,248930,253364,257914,262551,267377,272119,276839,281743,286774,291675,296778,302074,307353,312676,318167,323724,329265,334955,340573,346382,352354,358304,364282,370355,376456,382923,389211,395683,402091,408624,415398,422319,429165,436185,443434,450712,458184,465746,473267,481072
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1,1,1,1,1,2,4,4,6,6,7,8,10,11,11,14,15,16,21,27,33,34,46,53,58,64,67,70,81,84,86,90,95,101,109,113,119,131,140,147,159,164,178,188,202,214,223,234,238,248,264,270,281,290,298,306,314,331,342,362,380,387,399,413,425,436,445,456,469,489,506,525,540,561,571,587,604,622,636,657,670,692,715,731,746,763,779,792,815,832,843,864,884,902,929,951,967,986,1005,1023,1039,1057,1076,1095,1109,1133,1149,1163,1185,1203,1221,1234,1263,1282,1299,1322,1344,1368,1404,1428,1454,1491,1526,1555,1588,1624,1665,1694,1743,1780,1817,1865,1920,1954,1993,2039,2089,2127,2167,2209,2253,2290,2335,2373,2417,2457,2504,2546,2590,2631,2682,2735,2790,2844,2895,2944,3013,3069,3128,3188,3258,3316,3375,3433,3497,3580,3668,3733,3818,3887,3961,4048,4126,4216,4310,4407,4527,4629,4724,4814,4922,5020,5117,5229,5341,5449,5548,5646,5757,5878,6007,6121,6219,6329,6450,6574,6701,6833,6999,7153,7304,7469,7658,7838,7985,8189,8380,8574,8768,8965,9165,9401,9624,9869,10117,10406,10648,10930,11247,11552,11899,12247,12592,12932,13274,13670,14076,14474,14885,15339,15777,16261,16745,17295,17788,18294,18862,19408,19965,20555,21138,21763,22399,23035,23683,24336,25048,25707,26429,27183,27925,28655,29438,30242,31021,31860,32755,33635,34542,35426,36331,37245,38170,39162,40154,41150,42208,43255,44302,45479,46583,47783,48990,50222,51486,52801,54145,55511,56833,58264,59666,61111,62606,64087,65585,67060,68544,70078,71647,73274,74970,76597,78191,79875,81585,83377,85093,86800,88605,90499,92325,94294,96229,98143,100096,102083,104060,106146,108288,110442,112627,114894,117177,119592,122104,124564,126967,129507,132136,134885,137617,140435,143396,146290,149303,152347,155460,158788,162090,165496,168886,172461,176062,179939,183629,187432,191246,195046,199041,203038,207093,211289,215407,219662,223908,228262,232604,237052,241752,246486,251215,256178,261098,266145,271344,276649,281947,287240,292880,298476,304166,310023,316018,321936,327899,334105,340466,346819,353307,359955,366463,373175,380016,386927,393861,400912,407987,415313,422545,429941,437550,445239,453053,460984,468855,476857,484955,493144,501431,509999,518786,527666,536585,545675,554837,564137,573604,583153,592572,602303,612149,622077,631962,642056,652348,662702,673120,683759,694321,705129,716161,727045,738323,749709,761198,772947,784818,796854,808880,821246,833868,846674,859457,872524,885731,899005,912285,925871,939762,953505,967543,981378,995414,1009463,1023883,1038379,1052977,1067573,1082382,1097300,1112359,1127587,1142927,1158345,1173756,1189523,1205503,1221551,1237609,1253810,1270183,1286637,1303230,1319969,1336626,1353183,1370091,1387124,1404399,1421816,1439188,1456626,1474027,1491721,1509452,1527339,1545426,1563523,1581746,1600214,1618667,1637267,1656209,1675247,1694406,1713572,1732816,1752173,1771476,1790968,1810473,1830202,1850104,1870046,1889913,1909933,1930304,1950954,1971436,1992445,2013209,2034313,2055417,2076484,2097873,2119365,2140904
1,1,1,3,5,5,6,8,10,10,13,13,13,16,17,21,26,34,35,40,42,48,50,54,56,61,63,68,72,81,84,90,97,102,108,116,122,129,133,137,143,145,151,158,162,169,178,183,188,192,197,205,209,216,223,230,236,244,255,262,272,283,291,301,312,324,338,352,365,385,395,407,420,443,456,467,482,497,515,533,553,573,597,617,632,664,688,714,745,778,806,842,896,971,1035,1143,1249,1372,1509,1642,1776,1912,2043,2164,2306,2436,2564,2715,2853,3001,3152,3288,3413,3558,3708,3840,3978,4117,4273,4443,4624,4820,5028,5230,5460,5661,5899,6122,6363,6578,6819,7066,7301,7531,7764,8004,8224,8430,8607,8807,9004,9207,9426,9652,9864,10090,10334,10592,10820,11079,11355,11643,11959,12267,12528,12831,13119,13463,13797,14137,14455,14766,15068,15390,15708,16015,16355,16717,17071,17442,17786,18154,18534,18873,19228,19599,20021,20461,20888,21288,21776,22226,22658,23123,23628,24118,24593,25105,25620,26138,26720,27227,27761,28314,28878,29456,30030,30605,31241,31870,32505,33111,33734,34426,35076,35712,36397,37074,37794,38502,39218,39946,40674,41419,42215,43027,43890,44670,45539,46438,47328,48272,49193,50155,51089,52091,53057,54083,55144,56253,57297,58374,59464,60568,61696,62852,64085,65275,66483,67750,69049,70410,71671,73015,74309,75643,77076,78490,79939,81441,82973,84524,86179,87826,89529,91285,93083,94947,96929,98896,100900,103021,105214,107394,109529,111664,113918,116250,118548,120903,123311,125737,128213,130731,133297,135876,138533,141175,143910,146777,149754,152652,155639,158718,161810,164976,168216,171512,174904,178271,181687,185282,188926,192556,196209,199861,203595,207202,211001,214799,218729,222813,226748,230743,234879,239030,243332,247527,251856,256287,260773,265237,269726,274311,278964,283756,288370,293219,298057,303022,307998,312984,318236,323467,328831,334330,339967,345766,351520,357219,363088,369023,375004,381218,387545,393922,400376,406924,413588,420508,427372,434363,441494,448760,456026,463421,471029,478690,486545,494359,502208,510233,518476,526702,534984,543401,552259,560982,569910,579202,588436,597928,607344,616916,626763,636914,646842,657078,667272,677835,688372,699182,710207,721422,732583,743956,755531,767273,778962,790879,802887,815017,827265,840021,852789,865674,878792,892072,905297,918768,932528,946228,960328,974026,988045,1002084,1016425,1030788,1045317,1060133,1074948,1090010,1105017,1120224,1135609,1151161,1167008,1183140,1199210,1215473,1231998,1248414,1265185,1281735,1298475,1315361,1332532,1349759,1366978,1384411,1402038,1419569,1437497,1455626,1473418,1491594,1509760,1528158,1546820,1565597,1584706,1603888,1623326,1642591,1662363,1682260,1702519,1722466,1742817,1763237,1784091,1804694,1825594,1846655,1867936,1889471,1911145,1933301,1955503,1978380,2000679,2023372,2046654,2069972,2093181,2116206,2139549,2162841,2186723,2210328,2233931,2257796,2281683,2305957,2330211,2354532,2379140,2403618,2428341,2453446,2478329,2503373,2528443,2553336,2578607,2604015,2629522,2655208,2680604,2706608,2732653,2758691,2784919,2811115,2837456,2863516,2889786,2916418,2943118,2969730,2996468,3023316,3049919,3076798,3103821,3130746,3157641
1,1,1,1,1,1,2,2,2,3,3,4,6,6,6,8,8,8,9,10,11,11,13,15,15,18,19,21,28,32,37,38,41,41,42,46,51,56,58,60,61,65,69,75,82,85,87,93,98,100,103,112,119,120,124,131,131,137,142,143,148,152,155,155,157,157,157,158,163,168,173,177,179,191,197,201,205,210,213,217,218,223,232,238,247,253,255,261,269,275,277,285,292,302,312,327,345,362,371,376,385,391,401,408,417,426,441,457,471,477,494,509,517,527,536,556,568,585,601,610,630,638,659,670,686,703,723,738,753,761,775,794,808,820,834,848,855,868,884,894,907,916,932,945,959,970,978,988,1000,1012,1020,1029,1038,1051,1061,1069,1081,1094,1108,1126,1138,1151,1158,1173,1187,1199,1213,1225,1235,1247,1265,1287,1305,1321,1337,1355,1373,1398,1410,1423,1435,1451,1457,1471,1486,1505,1516,1538,1556,1565,1583,1598,1612,1635,1645,1658,1674,1699,1717,1743,1765,1784,1809,1832,1849,1866,1886,1913,1952,1992,2026,2057,2088,2108,2140,2176,2215,2263,2301,2341,2382,2435,2479,2528,2591,2632,2675,2718,2757,2808,2853,2912,2975,3037,3094,3152,3221,3286,3342,3409,3464,3530,3590,3659,3722,3784,3855,3919,3994,4062,4137,4199,4268,4328,4400,4464,4538,4613,4682,4772,4837,4893,4958,5026,5082,5159,5225,5277,5344,5406,5469,5529,5572,5630,5700,5762,5814,5861,5913,5947,5995,6056,6118,6160,6202,6241,6288,6324,6366,6424,6487,6537,6575,6626,6681,6728,6771,6819,6863,6906,6946,6989,7030,7082,7118,7159,7204,7260,7309,7359,7403,7445,7493,7548,7595,7648,7709,7750,7800,7850,7908,7963,8021,8068,8112,8178,8231,8289,8346,8400,8462,8531,8585,8638,8712,8786,8832,8891,8942,9003,9067,9133,9186,9255,9327,9390,9452,9501,9546,9605,9660,9710,9765,9820,9881,9933,9978,10019,10076,10123,10175,10251,10299,10348,10400,10452,10498,10542,10588,10637,10670,10722,10776,10832,10889,10934,10992,11044,11097,11158,11212,11270,11341,11403,11482,11542,11599,11668,11728,11799,11853,11923,12005,12079,12167,12236,12320,12409,12511,12617,12733,12836,12935,13022,13134,13280,13444,13620,13804,13973,14151,14346,14529,14727,14927,15127,15305,15517,15717,15971,16198,16412,16660,16898,17143,17379,17651,17918,18156,18430,18689,18944,19221,19494,19784,20061,20361,20678,21029,21401,21760,22121,22504,22875,23289,23699,24193,24655,25147,25629,26135,26632,27188,27687,28199,28744,29316,29843,30387,30949,31502,32024,32519,33040,33619,34210,34791,35379,36011,36669,37308,37971,38672,39323,40042,40742,41463,42210,42948,43733,44524,45333,46170,46980,47861,48762,49728,50678,51645,52602,53547,54580,55649,56738,57823,58926,60064
1,1,1,2,4,6,9,10,10,11,12,17,17,17,17,17,17,19,20,22,23,25,28,32,36,40,49,54,60,64,69,73,79,84,89,91,95,99,101,103,108,112,116,122,125,129,135,138,142,148,157,162,168,172,181,185,192,201,209,217,225,235,241,248,257,265,280,287,296,304,314,324,332,341,351,363,370,380,392,405,418,424,425,435,441,453,465,471,480,489,493,502,508,511,516,523,532,537,538,547,552,557,563,566,574,580,588,593,598,602,613,620,624,626,635,643,650,657,662,669,677,687,705,723,729,738,745,756,768,776,788,800,810,825,838,848,868,893,912,925,946,959,980,998,1016,1031,1048,1056,1073,1105,1124,1143,1161,1188,1209,1229,1250,1265,1289,1307,1330,1356,1376,1399,1428,1452,1464,1484,1508,1526,1548,1563,1586,1615,1638,1659,1683,1709,1727,1754,1778,1800,1820,1839,1876,1908,1939,1987,2016,2053,2082,2118,2151,2199,2245,2289,2331,2361,2399,2428,2472,2507,2551,2589,2639,2680,2729,2781,2816,2865,2912,2972,3028,3083,3129,3171,3229,3282,3350,3409,3463,3526,3579,3632,3694,3747,3792,3851,3906,3959,4025,4092,4155,4226,4288,4366,4430,4497,4583,4655,4735,4808,4872,4939,5026,5101,5172,5248,5319,5406,5476,5549,5623,5715,5806,5879,5959,6060,6149,6250,6336,6444,6542,6664,6781,6895,7024,7123,7263,7381,7521,7635,7745,7879,8016,8142,8279,8418,8540,8709,8875,9048,9253,9442,9613,9784,9966,10151,10351,10593,10824,11073,11317,11580,11815,12062,12346,12615,12904,13190,13485,13783,14084,14386,14698,15040,15396,15780,16160,16536,16900,17311,17745,18169,18621,19084,19583,20000,20492,20953,21439,21909,22441,22992,23481,24065,24642,25209,25817,26461,27132,27785,28477,29224,29971,30765,31557,32286,33004,33734,34514,35281,36011,36757,37520,38291,39058,39856,40591,41297,42097,42873,43686,44449,45228,45988,46784,47562,48380,49174,49925,50812,51662,52482,53286,54105,55017,55862,56742,57658,58568,59487,60371,61313,62250,63185,64135,65121,66119,67217,68295,69309,70438,71565,72671,73844,74978,76136,77416,78626,79892,81152,82433,83809,85109,86424,87870,89295,90730,92193,93671,95192,96726,98255,99796,101416,102973,104600,106231,107822,109482,111217,112979,114740,116530,118308,120154,122019,123879,125788,127784,129793,131936,134175,136365,138580,140868,143174,145555,148042,150472,152983,155563,158167,160785,163438,166221,169079,171864,174823,177805,180868,183885,187044,190191,193384,196740,200051,203381,206705,210136,213537,217120,220776,224401,228248,232073,236053,239988,244040,248179,252463,256859,261264,265874,270587,275168,279846,284683,289655,294607,299763,304911,310108,315478,320975,326519,332057,337673,343407,349256,355216,361293,367367,373614,379918,386283,392855,399293,405849,412578,419336,426155,433182,440216,447472,454821
1,1,1,1,1,2,3,3,3,3,3,5,7,8,8,11,14,17,18,18,21,21,27,27,27,28,28,30,32,34,38,41,43,44,44,46,47,47,47,48,50,53,54,55,56,59,65,65,70,72,79,84,86,89,96,98,99,104,109,114,120,124,132,140,144,149,152,155,157,159,160,165,167,171,176,182,189,193,196,201,202,211,219,226,229,237,241,250,253,260,267,278,281,285,304,311,323,334,346,356,365,378,387,398,409,428,451,466,475,486,495,511,523,535,547,560,572,594,608,621,633,650,663,674,692,713,735,761,773,788,802,820,835,849,864,883,896,917,939,960,985,1002,1023,1043,1071,1099,1122,1146,1172,1203,1228,1257,1289,1315,1339,1362,1385,1416,1450,1479,1505,1538,1567,1596,1623,1651,1671,1696,1718,1734,1758,1787,1816,1842,1876,1908,1934,1968,1998,2021,2055,2081,2115,2140,2167,2205,2245,2282,2320,2364,2402,2441,2502,2573,2634,2693,2769,2826,2896,2975,3032,3121,3194,3285,3385,3478,3552,3624,3708,3790,3896,3980,4072,4167,4257,4356,4452,4541,4651,4744,4860,4957,5056,5156,5269,5388,5516,5633,5745,5879,5998,6158,6287,6441,6583,6729,6874,7044,7224,7364,7543,7703,7847,8024,8185,8368,8540,8732,8934,9140,9354,9553,9751,9944,10147,10366,10574,10802,11022,11241,11480,11731,11952,12188,12450,12715,12975,13229,13498,13787,14068,14370,14696,15002,15352,15675,16015,16342,16696,17053,17373,17720,18095,18471,18865,19228,19611,19992,20374,20769,21193,21637,22113,22530,22963,23429,23909,24407,24887,25410,25896,26444,27013,27563,28097,28714,29284,29891,30521,31168,31798,32432,33144,33848,34583,35318,36110,36924,37715,38495,39325,40192,41013,41913,42789,43701,44649,45674,46616,47572,48624,49631,50737,51852,52962,54084,55241,56447,57729,59058,60412,61858,63266,64696,66182,67644,69132,70661,72211,73769,75395,76946,78685,80405,82101,83765,85475,87317,89135,91059,92889,94803,96764,98743,100748,102813,104940,107106,109282,111379,113532,115817,118024,120356,122682,125018,127374,129919,132346,134834,137364,139903,142496,145096,147817,150479,153209,156037,158787,161597,164514,167435,170400,173364,176365,179495,182675,185871,189205,192434,195924,199378,202914,206452,210059,213798,217518,221306,225120,229149,233172,237327,241579,245908,250116,254556,259171,263741,268512,273304,278296,283343,288539,293744,299096,304511,310087,315841,321682,327619,333716,339933,346268,352536,358902,365409,372044,378868,385506,392459,399426,406577,413842,421046,428353,435733,443166,450721,458220,465833,473534,481469,489367,497363,505419,513616,522011,530392,538890,547645,556394,565311,574231,583244,592620,602117,611730,621364,631098,640934,650721,660747,670942,681207,691738,702304,712993,723982,735251,746690,757821,769270,781006,792745,804821,816807,829199,841556,854123,866800,879699,892421,905724,919046,932375,945961,959589
1,1,1,2,4,5,6,7,7,7,7,7,7,7,8,9,9,10,11,13,15,17,18,19,20,22,26,32,38,44,49,54,62,67,69,75,79,82,83,89,97,106,110,117,122,125,133,139,143,147,153,162,169,178,184,191,201,210,216,219,230,237,243,260,267,278,283,290,296,305,317,329,332,343,349,363,372,382,390,399,411,416,423,436,442,450,459,469,479,490,503,513,515,522,527,536,548,560,566,578,583,604,615,632,641,658,671,678,689,696,707,714,726,739,753,765,777,786,793,804,813,823,828,835,843,864,878,887,901,913,934,949,960,968,981,991,1007,1018,1034,1040,1048,1059,1070,1088,1105,1118,1128,1147,1161,1173,1195,1213,1228,1244,1265,1283,1303,1313,1330,1353,1373,1398,1430,1462,1486,1523,1551,1596,1641,1679,1727,1772,1841,1888,1953,2032,2122,2223,2320,2392,2493,2606,2705,2784,2868,2960,3049,3131,3210,3298,3395,3479,3563,3662,3778,3871,3973,4093,4211,4346,4479,4608,4752,4900,5046,5191,5337,5491,5649,5821,5969,6149,6343,6518,6730,6908,7078,7281,7488,7675,7860,8048,8248,8446,8654,8876,9134,9352,9555,9775,9999,10269,10503,10754,11015,11273,11567,11821,12105,12379,12709,13036,13387,13719,14067,14395,14734,15071,15421,15795,16144,16495,16900,17262,17646,18039,18389,18767,19175,19603,20016,20488,20928,21368,21805,22218,22664,23137,23588,24083,24581,25056,25602,26136,26693,27247,27767,28323,28898,29480,30101,30689,31316,31909,32533,33224,33895,34513,35179,35872,36553,37233,37916,38641,39388,40102,40903,41732,42546,43363,44166,45000,45812,46688,47545,48409,49356,50338,51257,52255,53263,54298,55363,56401,57457,58560,59671,60795,61909,63016,64256,65483,66619,67851,69084,70276,71622,72906,74261,75624,77042,78382,79814,81175,82633,84176,85610,87128,88678,90180,91833,93398,95037,96674,98405,100096,101815,103624,105457,107345,109231,111174,113095,115094,117118,119218,121276,123409,125612,127887,130175,132393,134766,137143,139582,142129,144567,147077,149670,152243,154885,157481,160275,163013,165787,168596,171503,174502,177526,180497,183579,186714,189904,192970,196220,199527,202973,206393,209940,213506,217098,220753,224611,228410,232332,236333,240275,244355,248542,252624,256804,261151,265481,269843,274381,278938,283682,288463,293409,298477,303717,308925,314167,319454,324935,330348,336016,341706,347436,353267,359168,365078,371003,377082,383240,389402,395672,401972,408299,414753,421522,428102,434888,441750,448562,455603,462633,469821,477083,484520,492035,499546,507074,514760,522496,530377,538405,546582,554926,563401,571852,580419,589183,598134,607222,616329,625659,634860,644313,653924,663526,673169,682928,692896,703156,713462,724016,734696,745230,756017,767045,778165,789384,800803,812445,823941,835858,847831,860089,872564,885017,897837,910771,923932,937371,950775,964655,978705,992962,1007460,1022045,1037211,1052264,1067676,1083053,1098703,1114787
1,1,1,1,1,1,2,5,5,5,5,5,6,6,8,10,10,12,13,13,16,16,17,18,21,24,26,29,30,33,35,38,39,45,47,51,55,57,58,64,71,76,81,82,87,92,96,102,109,111,116,119,124,126,129,135,141,145,150,152,161,165,173,176,182,189,193,202,208,211,217,221,234,239,247,251,256,264,269,275,278,283,289,297,302,310,319,334,343,349,356,363,369,386,391,406,413,425,429,440,452,463,469,476,489,495,500,507,512,522,533,539,542,547,563,575,581,586,597,613,623,635,645,653,660,665,672,680,689,699,708,716,727,732,740,744,751,760,765,772,783,792,802,817,832,835,851,871,886,903,924,947,958,973,997,1019,1038,1061,1088,1123,1157,1176,1200,1239,1270,1303,1326,1350,1384,1413,1446,1483,1520,1538,1576,1611,1651,1679,1702,1729,1760,1789,1827,1856,1895,1930,1974,2000,2042,2080,2116,2146,2188,2224,2271,2312,2346,2401,2449,2492,2526,2561,2595,2638,2680,2720,2754,2790,2826,2875,2897,2929,2961,2990,3024,3057,3093,3123,3160,3189,3227,3272,3317,3358,3419,3464,3515,3568,3629,3688,3746,3795,3850,3921,3983,4047,4108,4164,4226,4284,4362,4429,4490,4559,4622,4689,4758,4821,4895,4980,5042,5109,5181,5232,5312,5387,5456,5540,5601,5666,5744,5829,5913,6002,6087,6195,6302,6421,6537,6667,6785,6917,7048,7166,7302,7447,7555,7691,7813,7930,8046,8191,8331,8450,8566,8705,8827,8973,9083,9201,9321,9442,9580,9685,9802,9938,10055,10198,10315,10441,10551,10717,10875,11023,11156,11313,11490,11660,11843,12016,12184,12355,12536,12733,12922,13107,13325,13520,13713,13931,14186,14429,14674,14963,15239,15495,15799,16094,16439,16752,17097,17411,17734,18081,18413,18708,19025,19395,19764,20124,20492,20863,21235,21656,22056,22450,22888,23370,23904,24416,24914,25470,25998,26538,27134,27698,28319,28956,29633,30268,30942,31652,32406,33173,33991,34767,35572,36410,37255,38107,39043,39973,40934,41881,42835,43825,44796,45789,46740,47787,48824,49868,50916,51950,53070,54151,55287,56412,57571,58780,60000,61233,62534,63799,65056,66430,67796,69170,70615,72040,73511,75008,76543,78038,79679,81178,82784,84494,86145,87836,89542,91310,93039,94824,96644,98519,100475,102371,104247,106214,108153,110162,112231,114328,116372,118480,120500,122549,124763,126994,129342,131783,134175,136493,138935,141508,144073,146715,149363,152005,154586,157394,160263,163239,166232,169283,172452,175594,178668,181909,185147,188466,191911,195408,198873,202497,206121,209828,213530,217440,221510,225395,229415,233566,237575,241787,245964,250138,254389,258642,263166,267618,272312,276966,281789,286803,291797,296987,302209,307610,313066,318564,324233,329944,335864,341899,347870,353931,360269,366639,372891,379406,385916,392645,399318,405993,413026
1,1,1,1,2,2,3,3,3,4,4,6,10,10,11,13,13,13,15,16,18,19,22,24,27,29,32,34,36,40,41,42,43,45,53,58,60,63,66,73,76,81,89,91,97,104,109,115,128,132,141,147,162,170,180,197,214,229,250,267,286,301,314,338,363,389,406,429,453,473,502,537,572,605,646,676,706,751,788,832,882,919,967,1011,1059,1106,1153,1215,1267,1318,1378,1444,1500,1558,1624,1675,1756,1824,1892,1981,2062,2143,2224,2272,2360,2451,2522,2581,2675,2757,2840,2940,3053,3158,3258,3367,3458,3554,3676,3778,3909,4038,4157,4278,4418,4550,4681,4805,4945,5058,5183,5302,5449,5598,5773,5922,6077,6239,6389,6565,6737,6912,7091,7254,7454,7630,7809,7998,8189,8372,8527,8711,8893,9092,9324,9488,9689,9879,10074,10306,10535,10756,11003,11245,11500,11731,12001,12235,12498,12781,13031,13294,13559,13846,14135,14413,14683,14990,15263,15585,15910,16222,16534,16831,17142,17452,17761,18080,18403,18732,19114,19459,19810,20177,20585,20988,21386,21804,22232,22662,23099,23557,24015,24507,24981,25482,25958,26487,27014,27536,28102,28634,29183,29738,30401,30977,31545,32197,32807,33390,34044,34711,35366,36041,36734,37464,38188,38843,39562,40277,41009,41688,42414,43112,43846,44580,45308,46059,46896,47703,48541,49318,50177,51059,51981,52837,53784,54768,55723,56679,57706,58647,59687,60705,61704,62720,63768,64774,65822,66863,67968,69069,70180,71252,72355,73405,74478,75566,76784,77923,79045,80234,81479,82722,83941,85146,86369,87678,89030,90352,91680,93078,94507,95940,97376,98777,100248,101636,103065,104524,106051,107600,109196,110827,112533,114293,116009,117749,119486,121284,123104,124951,126877,128750,130716,132700,134786,136961,139082,141287,143565,145805,148068,150371,152803,155290,157788,160327,162830,165470,168159,171004,173876,176735,179659,182660,185855,189092,192344,195687,199058,202568,205987,209523,213097,216686,220419,224253,227964,231845,235693,239639,243785,247920,252156,256314,260540,264763,269235,273775,278275,282805,287403,292121,296931,301755,306728,311729,316648,321704,326741,332085,337335,342757,348135,353926,359670,365325,371084,376777,382752,388747,394801,400978,407122,413409,419537,425741,432124,438576,445148,451960,458798,465602,472549,479616,486707,494047,501425,508898,516554,524373,532302,540389,548376,556699,564994,573672,582277,591185,600176,609237,618452,627752,637116,646659,656220,665985,675968,686033,695967,706080,716846,727556,738076,748999,760056,771302,782412,794064,805611,817265,829145,841370,853466,865832,878343,891132,903909,916897,930040,943283,956633,970027,983558,997193,1011117,1025301,1039489,1054087,1068814,1083716,1098946,1114304,1129686,1145218,1160787,1176630,1192734,1208990,1225626,1242419,1259125,1276091,1292929,1310294,1327463,1345314,1363178,1381323,1399488,1418000,1436640,1455282,1474189,1493386,1512457,1532075,1551623,1571306,1591427,1611554,1631806,1652332,1672783,1693443,1713776,1734477,1755469,1776780,1798209,1819671,1841192,1862937,1884696,1906697,1928808,1951172,1973609,1996184,2018957,2042076,2065190,2088132,2111312,2134822,2158597
1,1,1,1,2,2,2,3,5,6,7,8,8,8,8,9,9,11,12,13,14,17,21,22,23,25,28,31,34,36,38,42,44,49,53,56,62,65,70,72,76,79,90,94,100,107,108,112,116,120,122,127,131,135,144,148,154,161,168,174,177,184,190,192,200,207,214,218,225,236,244,255,259,273,284,294,302,319,334,345,364,380,389,404,423,438,461,484,509,537,566,591,614,656,689,712,745,782,824,867,906,955,1019,1072,1120,1195,1260,1310,1373,1442,1506,1571,1645,1720,1786,1856,1925,2013,2113,2199,2281,2379,2470,2561,2660,2761,2868,2974,3073,3166,3273,3380,3495,3628,3758,3893,4042,4172,4323,4463,4633,4787,4965,5141,5320,5507,5700,5927,6167,6407,6627,6876,7121,7394,7665,7913,8160,8398,8693,9002,9303,9599,9918,10236,10557,10879,11208,11600,11967,12335,12704,13095,13501,13913,14311,14762,15280,15801,16290,16828,17329,17872,18404,18964,19528,20097,20699,21293,21897,22501,23108,23721,24350,24984,25660,26332,26971,27664,28347,29002,29687,30367,31055,31723,32421,33134,33800,34531,35271,35984,36737,37463,38209,38975,39688,40437,41225,42066,42870,43667,44479,45368,46266,47177,48046,48956,49876,50843,51844,52873,53812,54795,55915,56972,58100,59233,60347,61456,62639,63830,65043,66270,67503,68817,70134,71472,72878,74366,75778,77232,78665,80118,81668,83258,84811,86513,88159,89795,91558,93309,95186,97047,98929,100946,102856,104893,106891,108943,111113,113340,115596,117921,120321,122781,125256,127791,130338,132978,135621,138491,141485,144385,147439,150429,153465,156559,159722,162960,166340,169851,173296,176856,180364,184016,187842,191580,195686,199580,203725,207987,212263,216577,221052,225528,230060,234657,239302,243998,248792,253787,258672,263697,268808,273993,279274,284739,290202,295747,301580,307505,313559,319576,325841,332112,338549,344928,351420,357988,364659,371370,378297,385372,392452,399572,406878,414175,421833,429594,437375,445156,452996,461147,469343,477491,485818,494347,503272,512272,521210,530222,539274,548327,557597,566980,576624,586182,596023,605918,615789,625898,635966,646395,656888,667825,678735,689790,701210,712770,724485,736429,748133,760137,772234,784463,796796,809369,822001,834802,847600,860737,873873,887362,901058,914707,928688,942732,956823,971206,985561,1000263,1015207,1030078,1045224,1060844,1076333,1091902,1107715,1123776,1139957,1156203,1172690,1189275,1205794,1222392,1239069,1255971,1273086,1290127,1307314,1324524,1342101,1359848,1377932,1396003,1413883,1431898,1450090,1468581,1487237,1506204,1525065,1544500,1564212,1583655,1603358,1623172,1643227,1663743,1684484,1704739,1725499,1746352,1767418,1788112,1809101,1830427,1852039,1873230,1894822,1916334,1938045,1960140,1981553,2003494,2025263,2047510,2069554,2091990,2114608,2137061,2159608,2182788,2205916,2228781,2251900,2275188,2298375,2321852,2345461,2369304,2393097,2416783,2440820,2464565,2488683,2513272,2537938,2562381,2587061,2611995,2636846,2661693,2686897,2712184,2737500,2762971,2788367,2813861,2839591,2865380,2891576,2917137,2943059,2969152,2995365,3021434,3047425,3073621,3100081,3126448,3152706,3179048,3205882,3232663,3259279,3286079,3312593
1,1,1,1,1,2,2,2,3,3,5,5,7,9,9,9,9,9,9,11,14,14,17,17,19,24,24,27,30,33,38,42,46,46,47,51,54,56,56,57,62,68,70,76,86,98,103,106,111,126,129,136,145,154,157,165,170,181,185,194,202,212,219,228,236,247,253,268,279,287,295,305,310,323,335,345,356,369,377,388,396,403,408,416,423,435,442,454,467,471,479,485,494,499,511,519,541,548,557,562,572,583,594,607,610,618,624,634,639,642,654,664,675,685,692,699,704,713,721,727,738,745,749,758,765,767,774,787,795,799,802,809,815,819,828,835,843,847,853,858,863,867,870,877,884,891,899,906,910,914,919,924,930,934,939,945,951,959,966,976,980,986,997,1006,1012,1027,1035,1047,1055,1062,1074,1084,1090,1103,1118,1125,1134,1149,1157,1165,1177,1189,1199,1202,1215,1223,1235,1245,1253,1265,1275,1287,1293,1302,1311,1319,1325,1338,1356,1366,1386,1407,1427,1440,1451,1470,1483,1502,1521,1532,1551,1575,1592,1610,1634,1655,1668,1701,1728,1743,1773,1800,1842,1876,1916,1959,1999,2038,2080,2136,2182,2212,2251,2280,2323,2362,2394,2429,2476,2514,2550,2592,2615,2644,2679,2727,2767,2807,2838,2874,2909,2943,2995,3047,3102,3165,3235,3302,3371,3435,3499,3563,3648,3723,3821,3932,4026,4124,4219,4314,4427,4541,4652,4767,4873,4988,5103,5199,5312,5430,5555,5664,5765,5870,5977,6072,6171,6276,6393,6492,6589,6693,6789,6891,7005,7076,7180,7271,7384,7482,7575,7691,7772,7853,7931,8019,8116,8204,8307,8388,8471,8557,8649,8726,8800,8909,8994,9090,9180,9257,9333,9402,9480,9562,9655,9736,9825,9918,9996,10089,10203,10293,10399,10505,10608,10724,10817,10947,11085,11219,11380,11522,11642,11780,11923,12076,12221,12341,12474,12624,12763,12923,13067,13222,13379,13556,13741,13928,14111,14302,14503,14678,14848,15019,15175,15335,15507,15694,15869,16049,16224,16393,16550,16730,16882,17043,17192,17381,17534,17676,17855,18044,18231,18420,18615,18809,18996,19181,19380,19575,19787,19976,20174,20380,20613,20815,20992,21204,21408,21625,21843,22065,22285,22531,22754,22992,23260,23495,23758,24018,24254,24492,24737,25017,25276,25555,25807,26097,26389,26636,26949,27246,27573,27848,28169,28509,28839,29177,29511,29860,30203,30561,30908,31232,31583,31957,32332,32683,33044,33393,33777,34190,34548,34902,35288,35704,36126,36581,37031,37465,37851,38316,38789,39265,39764,40293,40842,41348,41902,42460,43038,43636,44266,44841,45435,46070,46699,47281,47961,48589,49256,49894,50523,51189,51839,52542,53265,54010,54749,55503,56270,57039,57825,58654,59468,60275,61061,61988,62864,63711,64561,65429,66323,67212,68145,69126,70071
1,1,1,1,2,6,7,8,9,9,10,11,11,11,12,13,13,13,17,17,19,19,22,22,22,26,28,32,33,36,40,41,47,54,57,58,62,64,66,69,70,75,79,82,89,93,101,104,105,110,110,112,117,118,123,126,130,134,137,142,144,145,147,148,153,154,155,159,163,166,168,170,173,173,175,178,180,180,183,183,184,190,195,197,203,208,213,217,220,221,224,226,228,228,229,232,235,239,242,246,249,250,252,255,260,264,275,282,288,294,299,303,308,312,316,320,327,335,346,353,360,365,373,377,380,385,397,402,411,418,425,431,437,442,446,451,454,457,463,469,477,486,489,494,501,511,518,530,539,544,552,555,560,567,575,578,582,584,588,592,595,602,611,617,626,630,633,637,645,652,655,658,662,666,675,679,684,690,696,705,707,713,716,719,723,725,729,736,739,743,746,750,755,756,760,764,769,772,775,777,780,782,787,788,793,794,799,804,806,811,816,820,822,826,828,834,840,847,851,856,861,865,875,881,883,887,894,898,905,908,913,919,928,931,939,946,954,964,974,989,1010,1022,1033,1043,1065,1083,1098,1116,1138,1159,1180,1207,1227,1247,1268,1304,1322,1345,1364,1383,1403,1427,1445,1478,1498,1519,1546,1578,1618,1657,1696,1735,1785,1835,1887,1946,2006,2074,2129,2188,2241,2323,2392,2470,2551,2645,2731,2819,2908,2985,3069,3161,3254,3360,3463,3560,3652,3771,3862,3991,4103,4217,4339,4447,4575,4687,4798,4907,5030,5152,5277,5397,5541,5671,5784,5918,6037,6161,6271,6388,6498,6634,6776,6923,7075,7232,7369,7531,7676,7844,8010,8161,8338,8530,8712,8903,9106,9310,9502,9699,9915,10155,10401,10653,10882,11148,11409,11672,11910,12177,12457,12715,12990,13278,13570,13828,14137,14417,14710,14990,15265,15611,15929,16262,16600,16942,17294,17669,18043,18459,18836,19240,19601,20021,20411,20832,21210,21646,22060,22484,22882,23329,23763,24223,24703,25201,25667,26141,26658,27150,27649,28178,28724,29264,29833,30417,30986,31553,32161,32709,33305,33947,34524,35185,35897,36576,37216,37913,38666,39427,40185,40928,41690,42429,43204,43978,44747,45555,46366,47162,47960,48777,49582,50433,51292,52172,53030,53903,54829,55708,56655,57598,58549,59525,60512,61517,62495,63544,64644,65742,66845,67949,69045,70075,71172,72227,73346,74470,75604,76730,77788,78894,80041,81227,82376,83562,84834,86079,87414,88724,90123,91542,92940,94419,95971,97513,99095,100675,102351,104120,105844,107702,109479,111309,113187,115080,117049,118937,120950,123013,125059,127154,129264,131365,133614,135823,138115,140393,142726,145111,147606,150245,152883,155660,158393,161329,164218
1,1,1,1,2,4,6,7,7,8,9,11,11,11,14,16,16,18,19,21,22,29,30,32,34,37,38,39,42,47,52,58,64,69,77,84,93,98,105,113,119,126,129,145,162,168,175,189,203,212,227,232,246,261,268,280,291,303,311,321,334,356,370,384,399,417,443,456,471,492,505,523,540,567,584,614,639,661,693,725,744,778,807,845,884,915,947,980,1009,1056,1098,1144,1187,1257,1312,1355,1402,1461,1528,1595,1643,1704,1763,1817,1879,1948,2027,2105,2173,2243,2344,2441,2551,2630,2727,2834,2950,3062,3192,3306,3429,3558,3692,3815,3961,4116,4272,4427,4585,4735,4910,5089,5257,5429,5619,5791,5993,6199,6385,6590,6809,7002,7223,7455,7681,7900,8138,8411,8631,8869,9124,9382,9621,9885,10150,10374,10672,10961,11267,11557,11892,12179,12492,12806,13149,13468,13813,14157,14504,14824,15152,15517,15927,16292,16680,17085,17441,17801,18229,18629,19036,19445,19895,20287,20707,21134,21575,22027,22471,22904,23332,23792,24277,24761,25223,25716,26251,26775,27271,27820,28374,28908,29558,30171,30783,31349,32009,32673,33343,34037,34722,35396,36164,36901,37710,38457,39249,40048,40907,41776,42649,43565,44528,45418,46363,47361,48443,49483,50571,51691,52760,53936,55098,56259,57470,58720,59993,61275,62575,63853,65188,66500,67837,69239,70682,72073,73592,75139,76666,78263,79889,81470,83214,84978,86740,88588,90425,92314,94365,96525,98615,100725,102892,104938,107151,109304,111552,113774,116032,118199,120421,122827,125173,127497,129906,132344,134902,137494,140109,142809,145491,148315,151209,154030,156974,159918,162913,165973,169101,172164,175363,178514,181798,185114,188500,192057,195671,199319,202883,206741,210708,214637,218608,222741,226970,231215,235554,240141,244668,249336,254199,258901,263948,268887,273991,279227,284457,289836,295196,300720,306473,312300,318170,324223,330248,336400,342509,348842,355416,362030,368609,375569,382507,389608,396848,404274,411738,419200,426902,434583,442318,450358,458524,466544,474815,483282,491815,500633,509520,518415,527496,536576,545773,555192,564794,574510,584199,594063,604019,614009,624203,634648,645131,655663,666369,677302,688155,699167,710540,721935,733463,745041,756724,768432,780481,792991,805346,818058,830578,843270,856068,869242,882624,896384,909962,923575,937160,950975,965254,979723,994122,1008947,1023749,1038712,1053627,1068851,1084174,1099618,1115157,1131151,1147075,1163310,1179468,1195787,1212426,1229081,1245770,1262617,1279632,1297023,1314487,1331891,1349671,1367463,1385809,1403825,1422490,1440894,1459457,1478133,1497172,1516323,1535489,1554638,1574118,1593653,1613431,1633173,1652951,1672834,1692638,1712844,1733353,1753683,1774287,1795024,1815846,1836710,1857783,1878744,1900337,1921755,1943304,1965326,1987251,2009322,2031802,2054035,2076018,2098482,2120871,2143518,2166108,2188775,2211492,2234545,2257519,2280738,2303841,2327271,2350856,2374626,2398215,2422124,2446104,2470229,2494613,2519106,2543749,2568444,2593083,2617877,2642961,2667802,2693001,2718153,2743528,2768749,2794131,2819553,2845231,2870648,2896182,2921900,2947472,2973046,2998819,3024663,3050567,3076728,3102897,3128678,3154593,3180761,3206669,3232688,3258723
1,1,1,1,2,2,5,7,9,9,9,11,11,12,13,16,19,20,22,22,23,23,24,27,30,31,33,35,37,40,41,41,41,44,45,48,50,51,53,54,54,55,56,58,58,58,59,60,60,62,63,64,65,65,67,68,70,71,72,73,74,76,78,80,81,84,86,91,96,97,97,98,100,101,105,109,113,115,118,118,120,121,124,130,132,138,142,149,154,159,165,170,177,185,193,199,220,231,250,267,285,298,312,325,345,371,385,400,419,447,463,485,504,527,548,570,597,633,660,695,720,749,774,802,840,882,920,960,1013,1082,1141,1203,1269,1327,1411,1486,1570,1658,1756,1865,1962,2069,2189,2290,2406,2528,2647,2759,2872,2973,3078,3200,3335,3437,3558,3680,3805,3928,4042,4179,4315,4454,4630,4769,4924,5086,5252,5427,5596,5784,5981,6182,6370,6592,6805,7009,7240,7498,7730,7988,8248,8474,8712,8962,9212,9506,9778,10057,10360,10647,10953,11251,11558,11878,12193,12510,12805,13096,13416,13714,14010,14320,14621,14883,15162,15446,15750,16018,16312,16597,16869,17149,17429,17675,17957,18254,18516,18799,19107,19410,19692,20014,20299,20620,20960,21262,21590,21902,22257,22587,22919,23254,23609,23974,24308,24664,24991,25356,25692,26085,26441,26801,27153,27498,27879,28226,28586,28955,29310,29691,30047,30448,30824,31166,31538,31952,32365,32786,33198,33633,34059,34522,34971,35476,35946,36410,36900,37364,37907,38424,38941,39500,40065,40653,41216,41856,42436,43042,43665,44291,44896,45532,46148,46822,47484,48160,48783,49406,50058,50760,51489,52204,52942,53648,54394,55198,56016,56840,57664,58525,59383,60249,61168,62078,63027,63901,64798,65742,66696,67662,68611,69580,70627,71633,72683,73733,74887,75981,77074,78192,79241,80348,81516,82715,83967,85162,86393,87703,89049,90353,91736,93143,94576,96099,97619,99118,100743,102270,103932,105627,107321,109127,110867,112644,114461,116286,118133,120031,121989,123921,126049,128095,130101,132182,134269,136433,138600,140824,143065,145443,147757,150141,152601,155054,157543,160190,162873,165543,168393,171260,174229,177315,180360,183544,186747,189936,193328,196773,200250,203971,207600,211409,214994,218760,222506,226417,230283,234305,238358,242497,246744,250986,255336,259778,264305,268918,273590,278351,283258,288230,293389,298355,303431,308767,314032,319354,325051,330672,336379,342194,348100,354014,360050,366135,372330,378529,384877,391240,397729,404275,410877,417723,424705,431773,438874,446174,453721,461254,468814,476508,484308,492220,500335,508568,516972,525244,533512,542114,550839,559686,568529,577314,586355,595472,604778,613972,623460,632991,642467,652252,662236,672205,682362,692490,702843,713412,724018,734947,745885,757042,767959,779515,790911,802472,814261,826229,838245,850672,862861,875464,888220,901226,914276,927623,940995,954648,968542,982637,996896,1011128,1025845,1040499,1055331,1070487,1085960,1101284,1116974,1132824,1148769,1165014,1181400,1198274,1215097,1231885,1248919,1266125,1283322
1,1,1,1,1,1,2,2,2,3,4,4,5,6,6,6,6,6,6,6,6,6,8,8,9,9,9,9,9,9,10,10,11,13,13,13,13,15,15,16,16,16,17,22,22,22,23,26,26,27,28,28,30,30,30,30,30,30,31,31,31,31,31,33,33,36,36,36,37,37,37,37,38,38,38,38,38,39,39,39,39,39,39,39,41,43,43,43,44,46,46,46,47,47,48,49,49,53,55,56,61,61,61,64,66,71,72,72,74,76,79,83,86,90,91,93,93,94,96,98,100,101,101,102,103,104,105,109,112,114,116,119,120,120,124,126,131,135,141,151,153,157,159,164,167,173,180,185,189,192,195,201,207,213,215,221,227,229,232,236,247,252,263,273,284,287,293,299,305,308,313,315,319,325,330,333,334,337,342,348,349,355,362,367,369,374,382,385,389,391,399,405,412,414,414,416,419,426,429,439,446,452,462,471,479,485,495,506,513,526,540,553,567,576,589,601,608,615,634,648,658,674,686,695,706,713,726,735,744,760,772,783,794,800,817,823,831,848,853,860,871,887,901,909,925,936,952,963,986,1002,1013,1033,1055,1067,1085,1094,1111,1139,1156,1175,1196,1212,1237,1258,1272,1289,1309,1333,1361,1385,1416,1447,1484,1505,1533,1563,1583,1602,1633,1662,1690,1715,1734,1764,1794,1823,1849,1875,1904,1938,1957,1988,2030,2060,2096,2138,2167,2198,2239,2271,2305,2347,2383,2409,2441,2475,2512,2544,2574,2612,2647,2693,2741,2777,2836,2878,2928,2983,3038,3104,3155,3205,3264,3319,3386,3460,3529,3605,3680,3735,3794,3865,3914,3971,4028,4079,4118,4161,4206,4243,4298,4340,4397,4432,4470,4511,4569,4609,4649,4681,4728,4773,4813,4858,4897,4937,4969,5025,5073,5114,5157,5201,5249,5298,5344,5388,5426,5473,5521,5574,5619,5655,5704,5763,5808,5853,5907,5957,6009,6059,6106,6182,6242,6291,6343,6401,6461,6521,6582,6645,6717,6780,6847,6916,6990,7059,7144,7241,7324,7405,7482,7555,7652,7737,7823,7934,8033,8159,8256,8356,8449,8560,8697,8798,8918,9023,9127,9257,9363,9473,9597,9722,9857,10011,10154,10298,10456,10618,10737,10854,10978,11124,11265,11433,11586,11736,11904,12104,12289,12484,12680,12861,13084,13325,13569,13795,14044,14319,14559,14827,15080,15319,15570,15819,16101,16391,16661,16970,17251,17546,17889,18194,18542,18864,19283,19665,20047,20402,20786,21163,21564,21974,22397,22795,23238,23690,24180,24667,25160,25695,26201,26750,27323,27893,28502,29158,29775,30432,31090,31811,32535,33277,34012,34751,35535,36310,37098
1,1,2,6,12,12,15,16,16,17,18,21,26,32,38,39,40,46,49,52,58,59,60,61,65,68,74,78,87,90,92,97,103,109,115,119,122,128,130,133,142,149,154,160,171,178,187,200,206,212,221,225,231,234,240,245,258,267,282,293,302,307,316,320,329,337,344,349,358,361,368,382,392,397,404,413,430,447,460,467,485,505,519,525,541,557,570,586,605,621,633,658,678,705,732,749,768,792,812,834,852,871,903,936,967,996,1026,1060,1088,1124,1161,1184,1232,1273,1315,1347,1397,1445,1482,1538,1585,1644,1682,1736,1790,1853,1903,1951,2018,2068,2133,2187,2251,2323,2388,2446,2516,2588,2677,2752,2824,2896,2971,3061,3133,3209,3277,3358,3438,3507,3581,3658,3740,3836,3935,4030,4132,4230,4354,4474,4607,4723,4863,4992,5113,5255,5395,5539,5689,5826,5977,6146,6293,6451,6627,6775,6925,7096,7267,7443,7608,7827,8032,8231,8437,8626,8822,9039,9289,9496,9741,9971,10192,10448,10687,10919,11189,11446,11721,11992,12284,12608,12889,13164,13478,13775,14083,14398,14708,15021,15361,15678,16001,16320,16674,17047,17436,17807,18236,18648,19044,19476,19914,20331,20801,21291,21750,22219,22688,23180,23679,24214,24736,25273,25841,26345,26879,27479,28092,28665,29271,29843,30454,31110,31740,32416,33093,33787,34493,35187,35872,36591,37333,37997,38751,39486,40284,41094,41943,42817,43750,44668,45578,46510,47482,48574,49612,50656,51707,52866,54047,55165,56364,57652,58930,60254,61600,62965,64371,65841,67264,68743,70275,71833,73376,74945,76614,78220,79936,81643,83378,85191,87019,88867,90774,92639,94503,96397,98319,100226,102255,104191,106098,108129,110138,112230,114300,116373,118559,120666,122889,125122,127425,129729,132093,134450,136798,139193,141691,144243,146771,149400,152169,155061,157934,160882,163815,166894,170057,173287,176594,179911,183243,186768,190212,193745,197266,200861,204399,208054,211807,215635,219501,223264,227164,231119,235078,239395,243623,248076,252362,256826,261301,265844,270461,275134,279897,284732,289677,294784,300049,305497,311024,316718,322461,328413,334481,340614,346955,353177,359637,366164,372978,379746,386584,393476,400498,407671,414915,422347,429850,437502,445224,452977,460921,469071,477330,485645,494032,502481,511131,519842,528693,537600,546680,555813,565219,574753,584791,594496,604632,614805,625320,636259,647285,658291,669254,680650,691983,703625,715491,727391,739503,751652,764232,776630,789501,802429,815546,828845,842290,855795,869324,883078,897069,911066,925189,939487,953808,968496,983388,998236,1013197,1028493,1043666,1058862,1074602,1090320,1106206,1121987,1138225,1154518,1170904,1187407,1203736,1220583,1237371,1254283,1271501,1288706,1306104,1323634,1341184,1358828,1376857,1394887,1413033,1431415,1450126,1468811,1488006,1506800,1525805,1545013,1564559,1584034,1603610,1623491,1643521,1663579,1683731,1703743,1723847,1744411,1765144,1785794,1806431,1827502,1848437,1869329,1890676,1912077,1933475,1954978,1976790,1998211,2019946,2041932,2063854,2085825,2108343,2130842,2153543,2176192,2199157,2222137,2245358
1,1,1,1,1,2,2,4,4,5,5,7,8,9,9,10,10,10,11,12,15,15,20,21,26,26,31,31,38,41,45,47,48,52,56,60,64,69,77,79,82,86,87,91,102,109,109,115,117,121,127,133,135,140,144,145,151,154,158,159,161,166,169,171,173,175,178,182,184,192,197,202,207,212,217,222,226,227,232,237,240,245,245,254,260,265,271,274,279,284,290,297,303,316,320,327,334,339,354,367,376,383,394,405,416,430,446,456,477,495,507,523,536,553,564,581,596,614,633,648,662,672,683,698,711,723,740,757,771,785,799,818,835,847,861,872,892,915,938,962,981,1001,1027,1049,1071,1092,1104,1123,1145,1163,1183,1204,1221,1237,1252,1270,1297,1321,1343,1366,1389,1423,1452,1492,1513,1549,1580,1608,1629,1664,1696,1724,1762,1792,1824,1850,1880,1911,1944,1979,2012,2046,2074,2101,2121,2150,2172,2199,2224,2248,2277,2313,2339,2370,2395,2430,2467,2508,2541,2590,2637,2679,2729,2770,2819,2868,2920,2991,3065,3138,3209,3287,3354,3430,3512,3594,3692,3781,3883,3986,4084,4189,4290,4396,4508,4601,4706,4815,4933,5032,5137,5236,5362,5468,5588,5707,5827,5943,6059,6213,6342,6469,6607,6734,6883,7031,7170,7326,7479,7648,7809,7996,8184,8354,8556,8748,8926,9133,9323,9507,9685,9889,10089,10284,10488,10691,10887,11132,11331,11560,11780,12008,12252,12519,12801,13071,13368,13635,13928,14179,14440,14720,14982,15269,15548,15818,16094,16390,16703,17009,17299,17583,17916,18236,18571,18895,19235,19576,19951,20324,20718,21135,21555,21968,22408,22858,23342,23824,24295,24791,25228,25693,26195,26684,27148,27688,28244,28792,29350,29910,30468,31027,31665,32304,32952,33548,34242,34974,35679,36391,37155,37935,38741,39558,40421,41254,42151,43051,43986,44913,45860,46846,47833,48896,49962,51080,52122,53260,54395,55581,56792,58119,59473,60768,62017,63423,64799,66207,67647,69032,70485,71992,73581,75230,76876,78631,80342,82078,83831,85612,87408,89273,91111,93086,95042,97110,99221,101288,103424,105487,107602,109712,111792,113937,116196,118400,120795,122946,125166,127437,129638,131874,134261,136740,139217,141728,144262,146869,149488,152201,154936,157768,160629,163434,166280,169287,172447,175495,178531,181696,184892,188174,191507,194810,198233,201812,205450,209051,212833,216634,220379,224265,228225,232263,236222,240416,244796,249093,253675,258135,262730,267306,271925,276759,281704,286740,291749,296772,301837,306862,312106,317525,323026,328656,334162,339903,345717,351489,357429,363479,369554,375779,382190,388595,395127,401788,408444,415218,422161,429276,436644,443946,451384,458946,466867,474840,482802,491042,499299,507708,516398,525048,533525,542313,551175,560201,569242,578370,587690,597279,606990,617018,627067,637266,647579,657937,668407,679162,690012,701147,712607,724177,735648,747231,759298,771423,783521
1,1,1,1,1,1,1,4,4,5,9,9,10,11,13,18,20,22,23,25,31,34,37,38,40,42,44,51,53,54,59,65,68,69,72,76,79,83,93,100,105,112,118,123,127,133,136,141,146,156,162,170,177,180,188,194,199,209,221,233,238,242,249,252,257,264,271,276,288,297,306,317,325,332,346,362,370,378,393,404,417,429,439,454,467,484,504,525,546,566,582,602,621,631,657,682,706,725,743,763,788,818,836,865,896,925,954,981,1021,1050,1076,1095,1120,1155,1179,1215,1246,1278,1321,1366,1394,1415,1452,1482,1523,1554,1585,1622,1667,1704,1749,1794,1834,1863,1896,1936,1990,2026,2061,2099,2134,2178,2219,2257,2305,2357,2407,2462,2527,2583,2640,2689,2736,2787,2851,2893,2939,3000,3052,3097,3145,3204,3252,3305,3364,3407,3450,3514,3571,3621,3689,3755,3809,3875,3944,4012,4079,4153,4209,4290,4364,4445,4524,4605,4693,4781,4870,4950,5045,5149,5248,5348,5458,5542,5650,5750,5855,5949,6061,6150,6250,6357,6470,6579,6685,6803,6927,7044,7170,7311,7444,7595,7741,7902,8057,8211,8394,8545,8728,8893,9052,9250,9440,9685,9894,10080,10309,10514,10718,10949,11184,11430,11660,11872,12108,12370,12622,12864,13136,13378,13656,13950,14186,14477,14736,15033,15322,15591,15921,16237,16542,16845,17190,17541,17917,18294,18684,19054,19426,19808,20210,20623,21100,21555,22024,22512,22980,23485,24025,24602,25184,25736,26305,26915,27530,28135,28762,29395,30025,30685,31366,32062,32820,33557,34357,35118,35888,36751,37654,38520,39418,40339,41246,42147,43070,44035,45035,45996,46980,48031,49022,50061,51166,52250,53372,54499,55644,56845,58092,59317,60631,62001,63367,64817,66303,67838,69395,70887,72465,74107,75686,77281,78937,80582,82258,84007,85680,87440,89178,90806,92619,94461,96255,98217,100103,102119,104059,106058,108098,110180,112300,114475,116649,118815,120977,123288,125460,127679,129980,132327,134773,137213,139598,142113,144670,147273,149856,152466,155134,158013,160887,163734,166633,169592,172778,175799,178891,182072,185328,188576,191900,195260,198651,202011,205679,209302,213112,216887,220719,224588,228499,232431,236367,240464,244569,248730,253060,257383,261811,266304,270984,275758,280549,285356,290155,295123,300143,305126,310222,315467,320710,326033,331705,337266,343013,348748,354637,360500,366501,372500,378712,384982,391346,398011,404781,411763,418872,425991,433225,440548,448042,455735,463515,471284,479221,487317,495668,504008,512512,521013,529751,538564,547495,556457,565631,574917,584280,593571,603127,612800,622610,632547,642677,652786,662976,673411,683938,694711,705388,716312,727596,738880,750378,762152,773963,785993,798380,810954,823396,836164,849225,862285,875722,889246,902937,917019,931031,945139,959566,974202,989073,1004125,1019457,1034633,1050236,1065749,1081288,1097086,1113149,1129167,1145297,1161632,1178053,1194536,1211435,1228170,1245161,1262353,1279448,1296906,1314700,1332482,1350325,1368292,1386285,1404270,1422869
1,1,1,1,2,3,3,4,5,6,7,9,10,12,15,15,15,15,16,17,19,22,27,28,29,32,37,44,45,51,58,59,65,69,78,82,87,93,98,106,110,118,126,130,133,142,154,157,159,168,172,178,183,185,191,197,201,211,215,219,227,231,242,247,251,259,269,279,285,292,298,305,310,319,327,335,340,349,362,369,378,388,395,406,415,428,433,440,456,464,485,494,503,519,535,548,559,573,589,602,618,625,636,656,682,705,722,743,766,780,796,814,830,855,876,904,920,944,973,1007,1046,1084,1127,1168,1209,1249,1303,1356,1420,1470,1552,1637,1717,1805,1889,1965,2053,2145,2226,2302,2390,2467,2555,2646,2728,2807,2886,2950,3023,3103,3190,3271,3363,3461,3568,3676,3781,3897,4001,4118,4222,4356,4488,4615,4757,4907,5046,5187,5330,5501,5656,5809,5957,6101,6251,6401,6579,6738,6912,7112,7286,7476,7649,7810,7993,8187,8375,8531,8702,8857,9031,9220,9424,9618,9810,10048,10276,10492,10713,10928,11137,11334,11574,11839,12074,12304,12550,12794,13032,13300,13554,13783,14025,14280,14532,14790,15062,15366,15665,15947,16224,16484,16811,17113,17460,17792,18117,18473,18843,19209,19596,20014,20429,20866,21309,21775,22207,22688,23210,23689,24269,24818,25418,25994,26557,27145,27715,28292,28848,29458,30090,30741,31386,32043,32651,33307,34028,34702,35437,36145,36911,37761,38613,39426,40311,41254,42185,43134,44084,45063,46108,47172,48285,49434,50640,51765,53001,54270,55646,57041,58505,59933,61376,62909,64508,66136,67818,69459,71160,72930,74658,76451,78338,80182,82077,83938,85913,87855,89787,91751,93732,95917,98005,100206,102475,104740,106886,109137,111414,113710,116004,118312,120651,123164,125719,128295,130886,133460,136191,139007,141875,144904,147967,151195,154477,157830,161246,164704,168271,171835,175582,179298,183183,187123,191271,195423,199692,203911,208304,212733,217267,221815,226498,231167,236114,240878,245823,250845,256026,261465,266810,272155,277630,283244,288832,294503,300315,306234,312180,318322,324599,330897,337419,343805,350374,356849,363494,370299,377103,384090,390964,397939,404992,412066,419334,426641,434078,441611,449051,456866,464536,472359,480165,488355,496415,504606,513072,521613,530356,538926,547658,556604,565472,574533,583737,593129,602435,612038,621846,631604,641536,651408,661379,671426,681612,692247,703017,713846,724880,736069,747272,758369,770174,782181,794345,806568,819024,831898,844804,857840,870868,884346,897769,911344,925163,939037,953350,967583,982115,996842,1011541,1026447,1041411,1056473,1071499,1087100,1102836,1118746,1134833,1150766,1167239,1183552,1200030,1216519,1233272,1250120,1267247,1284420,1301694,1318991,1336281,1354089,1371796,1389763,1408119,1426305,1445038,1463593,1482139,1500892,1519621,1538551,1557752,1577180,1596787,1616544,1636217,1655991,1676206,1696351,1716780,1737566,1758548,1779585,1800281,1821412,1842614,1864145,1885674,1907209,1928738,1950042,1971662,1993495,2015573,2037841,2060192,2082194,2104542,2126630,2149087,2171388,2194153,2216735,2239376,2262175,2285096
1,1,1,1,2,2,3,4,5,5,7,9,11,11,11,11,11,11,13,13,15,15,15,16,18,21,21,25,29,30,34,36,41,43,45,55,58,65,67,71,75,80,85,89,99,106,117,121,129,137,148,158,163,170,178,184,192,197,203,211,222,229,234,242,253,261,265,274,286,292,298,305,315,326,335,343,354,359,376,390,404,412,420,436,447,460,475,484,496,509,522,544,568,581,596,607,616,629,646,659,672,698,709,721,734,749,761,781,796,811,827,852,868,882,904,920,948,971,999,1027,1037,1057,1077,1092,1116,1139,1165,1188,1229,1274,1315,1369,1426,1476,1530,1588,1655,1717,1774,1831,1903,1969,2036,2109,2170,2230,2289,2360,2414,2479,2562,2608,2686,2751,2826,2896,2972,3030,3103,3181,3274,3374,3478,3581,3689,3793,3905,4018,4113,4204,4307,4403,4504,4623,4705,4810,4907,4996,5084,5179,5279,5377,5488,5605,5706,5826,5940,6053,6168,6306,6442,6565,6687,6809,6955,7093,7232,7371,7522,7716,7929,8164,8398,8633,8865,9161,9391,9640,9919,10197,10475,10774,11066,11339,11610,11899,12177,12439,12701,12998,13301,13642,13934,14259,14596,14907,15219,15512,15884,16257,16630,16985,17396,17816,18254,18736,19186,19667,20207,20719,21284,21829,22378,22923,23522,24153,24732,25318,25889,26505,27107,27686,28259,28853,29496,30088,30745,31395,32074,32753,33387,34083,34782,35456,36148,36846,37566,38269,38974,39797,40606,41464,42345,43251,44172,45193,46152,47148,48151,49184,50167,51190,52228,53243,54270,55308,56349,57441,58495,59538,60630,61729,62864,63893,64992,66053,67131,68267,69381,70481,71618,72831,74048,75281,76520,77797,79017,80347,81659,82954,84370,85780,87237,88678,90131,91631,93153,94757,96330,97860,99486,101108,102661,104309,105985,107746,109531,111288,113046,114895,116834,118787,120728,122813,124909,127031,129242,131428,133685,135922,138316,140712,143204,145788,148317,150876,153529,156279,159099,161966,164982,167967,171113,174282,177461,180792,184208,187613,191078,194692,198353,201932,205831,209678,213746,217945,222039,226237,230589,234952,239525,244157,248979,253831,258865,263954,269221,274493,279702,285145,290567,296136,301772,307506,313373,319292,325388,331614,337724,343935,350349,356684,363317,370025,376946,383835,391019,398163,405322,412754,420314,427969,435686,443522,451529,459555,467668,475969,484131,492346,500924,509297,517923,526602,535315,544090,553096,562198,571339,580734,590499,600110,610052,619941,630220,640626,651219,661826,672451,683374,694471,705642,717083,728757,740399,752185,764244,776489,788477,800957,813451,826273,839179,851911,864911,878021,891172,904439,917553,930589,944091,957565,971226,984942,998675,1012679,1026904,1040946,1055248,1069569,1084091,1098738,1113523,1128162,1143017,1158255,1173849,1189288,1205210,1221206,1237334,1253644,1270239,1286812,1303421,1320153,1337074,1354135,1371299,1388672,1406144,1423900,1441624,1459576,1477347,1495601,1513721,1531963,1550226,1568719,1587573,1606619,1625752,1644684,1664125,1683667,1703258
1,1,1,3,4,5,6,6,9,9,9,12,14,17,20,23,25,27,28,30,34,36,36,36,39,44,49,57,63,65,70,78,88,95,103,116,127,136,152,163,186,201,214,240,265,285,303,321,343,369,388,412,442,465,502,543,573,602,638,674,694,721,758,789,812,848,878,904,930,959,1000,1043,1099,1155,1207,1251,1288,1339,1395,1434,1467,1511,1550,1592,1640,1695,1779,1836,1892,1950,2014,2075,2150,2224,2338,2416,2509,2600,2691,2779,2889,2991,3100,3208,3328,3440,3558,3689,3819,3946,4096,4223,4382,4511,4665,4824,4966,5140,5318,5501,5689,5883,6086,6286,6499,6713,6916,7122,7363,7603,7849,8077,8328,8587,8871,9127,9404,9683,9959,10251,10528,10789,11065,11346,11631,11969,12283,12564,12873,13166,13477,13807,14138,14474,14826,15198,15496,15838,16218,16602,16967,17341,17731,18156,18575,18983,19400,19862,20315,20805,21269,21727,22179,22669,23143,23618,24118,24582,25143,25628,26168,26677,27221,27759,28339,28887,29475,30046,30640,31258,31855,32434,33037,33689,34304,34912,35522,36159,36786,37397,38072,38778,39468,40161,40880,41594,42350,43070,43814,44578,45345,46118,46986,47823,48656,49497,50393,51255,52110,53005,53955,54910,55863,56812,57776,58793,59740,60732,61747,62753,63818,64871,66027,67139,68324,69518,70700,71912,73123,74259,75534,76853,78143,79509,80806,82153,83612,84987,86428,87937,89449,91012,92530,94215,95857,97520,99256,100936,102697,104481,106343,108217,110138,112023,113957,115952,117953,120049,122201,124411,126652,128885,131271,133668,136095,138502,140968,143615,146292,148972,151701,154510,157309,160140,163071,166069,169201,172368,175614,178998,182362,185814,189344,193031,196599,200245,204009,207847,211800,215916,220108,224325,228680,232942,237458,241912,246658,251436,256452,261503,266559,271813,277090,282485,287878,293532,299236,304968,310920,317012,322962,329144,335436,341813,348303,354761,361416,368342,375163,382191,389252,396348,403519,410832,418249,425807,433652,441464,449505,457586,465876,474129,482607,491116,499804,508673,517634,526550,535504,544715,553927,563276,572855,582480,592426,602375,612421,622570,632724,643045,653696,664291,674920,685794,696781,708100,719601,731052,742720,754743,766584,778739,791053,803366,815846,828846,841881,854798,868296,881563,895115,908706,922642,936687,950880,965216,980069,995160,1010203,1025490,1040868,1056659,1072416,1088145,1103973,1120132,1136041,1152144,1168657,1185028,1201675,1218268,1235075,1251923,1268660,1285833,1302997,1320452,1337881,1355545,1373319,1391496,1409719,1428139,1446610,1465313,1484624,1503600,1522801,1542072,1561566,1581194,1600814,1620453,1640340,1660379,1680590,1700777,1721264,1741623,1761784,1781931,1802298,1822628,1842875,1863549,1884227,1905027,1926089,1947218,1968492,1989842,2011234,2032469,2054413,2076317,2098325,2120616,2143181,2165851,2188578,2211203,2234109,2257217,2280371,2303686,2327002,2350548,2374550,2398433,2422083,2446260,2470455,2494583,2518845,2543159,2567925,2592575,2617440,2642320,2667455,2692948,2718371,2743830,2769613,2795312,2821127,2846774,2872608,2898519,2924693,2950751,2976900,3003101,3029439,3055986,3082714,3109286,3135889,3162655,3189708,3216528,3243622,3270784,3298409,3325883,3353725
1,1,1,2,3,4,6,7,8,8,8,8,10,10,13,13,13,13,13,13,13,13,13,14,15,15,16,19,22,25,27,27,33,39,39,41,44,45,46,50,53,58,63,66,76,81,84,89,94,95,99,99,108,108,111,118,124,127,132,134,137,140,144,150,152,156,161,163,165,168,174,178,180,181,183,183,187,189,190,193,194,196,198,199,203,205,206,209,210,210,210,213,215,219,222,224,225,227,228,230,230,231,231,231,234,236,238,239,241,241,245,248,249,255,256,258,261,262,262,263,265,270,274,279,281,283,284,288,293,294,302,304,311,313,320,329,331,335,338,345,348,353,353,357,358,360,364,368,372,378,383,386,391,394,396,398,403,404,408,409,413,416,419,424,428,430,433,436,440,442,445,446,451,455,458,461,465,466,474,477,484,492,501,503,508,517,528,540,550,566,579,593,607,615,630,644,656,683,709,720,745,762,788,810,829,853,874,901,924,959,992,1019,1053,1094,1127,1157,1197,1239,1278,1317,1368,1423,1479,1534,1599,1661,1724,1793,1860,1924,2001,2060,2129,2201,2271,2338,2414,2503,2585,2668,2768,2837,2918,3015,3102,3189,3305,3395,3481,3595,3712,3841,3960,4095,4257,4408,4559,4709,4888,5057,5247,5472,5693,5885,6119,6370,6612,6838,7115,7356,7593,7827,8063,8346,8580,8830,9090,9341,9578,9833,10103,10365,10658,10943,11236,11526,11873,12180,12502,12798,13126,13447,13773,14098,14459,14812,15148,15520,15891,16241,16599,16994,17366,17715,18061,18431,18768,19079,19440,19784,20141,20504,20871,21218,21587,21994,22392,22782,23184,23579,23958,24331,24751,25188,25609,26008,26408,26864,27292,27790,28255,28732,29228,29703,30220,30664,31176,31659,32187,32720,33252,33821,34340,34925,35545,36210,36789,37453,38123,38797,39487,40196,41024,41887,42737,43570,44470,45393,46313,47282,48288,49270,50293,51287,52310,53457,54588,55781,57017,58306,59612,60989,62319,63738,65097,66493,67994,69474,70994,72521,74199,75734,77328,78979,80637,82375,84101,85930,87751,89574,91448,93321,95225,97166,99247,101473,103638,105859,108149,110427,112734,115057,117561,120022,122561,125109,127734,130357,133014,135757,138473,141273,144204,147036,149978,153011,156085,159209,162288,165477,168782,172010,175437,178882,182457,186023,189642,193314,197112,200877,204858,208862,212926,216958,221175,225394,229746,234340,238825,243530,248259,253118,257946,262703,267951,273159,278428,283865,289435,295041,300713,306567,312533,318727,324865,331404,337951,344556,351207,358116,365107,372274,379519,386901,394574,402202,409997,417917,426003,433981,442235,450525,458958,467439,476120,484967,493963,503033,512072,521215,530656,539980,549592,559389,569428,579382,589441,599796,610128,620716,631303,642351,653397,664646,676000,687492,699196
1,1,1,1,1,1,1,2,4,4,5,7,7,8,10,13,18,23,23,27,30,34,38,42,47,52,57,66,71,76,83,88,94,99,106,111,122,128,131,141,149,155,158,166,175,177,182,184,188,194,203,212,218,227,232,237,242,249,254,267,274,280,286,297,307,315,323,332,344,355,364,374,386,398,406,415,432,440,451,467,478,499,516,528,535,551,564,573,590,603,616,631,648,664,690,698,721,742,755,775,795,819,838,858,883,907,936,979,1010,1039,1079,1107,1145,1185,1233,1291,1355,1415,1481,1537,1610,1675,1740,1793,1855,1917,1968,2037,2103,2157,2233,2308,2375,2449,2532,2613,2718,2793,2878,2970,3060,3151,3228,3330,3430,3523,3627,3747,3833,3951,4046,4160,4288,4385,4490,4592,4733,4881,5024,5162,5298,5442,5613,5778,5937,6122,6287,6464,6657,6852,7045,7239,7428,7619,7838,8065,8281,8483,8717,8925,9148,9405,9629,9881,10126,10383,10674,10969,11242,11513,11760,12048,12343,12634,12913,13216,13563,13893,14255,14600,14933,15274,15652,16032,16409,16830,17237,17688,18116,18550,19018,19443,19919,20384,20856,21336,21865,22367,22890,23465,24042,24644,25186,25801,26430,27122,27778,28463,29182,29905,30679,31373,32112,32898,33656,34433,35262,36104,36976,37795,38707,39639,40575,41562,42515,43487,44564,45686,46905,48060,49256,50519,51855,53156,54542,55942,57372,58935,60437,62018,63608,65260,66955,68637,70371,72172,74040,75857,77726,79742,81777,83840,85961,88030,90210,92429,94738,97122,99425,101786,104273,106813,109345,111948,114522,117148,119759,122444,125152,127850,130544,133345,136059,138898,141872,144768,147752,150825,154010,157226,160454,163818,167279,170934,174540,178217,182026,185978,189858,193884,197964,202250,206559,211064,215469,220005,224617,229365,233998,238717,243746,248885,254084,259410,264796,270483,276104,281888,287649,293426,299530,305582,311845,318254,324713,331253,337939,344732,351686,358753,365918,373050,380412,387806,395314,402953,410698,418485,426508,434660,442781,451044,459530,468201,477006,485912,495168,504204,513487,523091,532496,542170,551838,561679,571619,581860,592115,602492,613200,623866,634557,645517,656627,667754,678706,690202,701547,713111,724875,736696,748730,760899,773524,786087,798768,811623,824335,837545,850739,864333,877875,891553,905558,919383,933632,947817,962145,976658,991477,1006287,1021239,1036377,1051683,1067219,1082678,1098290,1114398,1130659,1146821,1163128,1179739,1196602,1213320,1230355,1247434,1264696,1282156,1299692,1317560,1335402,1353513,1371647,1390108,1408557,1427642,1446554,1465729,1485112,1504721,1524091,1543968,1563928,1583962,1604030,1624320,1644612,1664959,1685463,1706083,1727014,1747702,1768608,1789647,1810713,1831852,1853089,1874318,1895959,1917330,1939065,1960901,1982718,2005088,2027473,2050130,2072842,2095348,2117873,2140751,2163576,2186681,2209931,2233230,2256448,2279792,2303299,2326821,2350198,2373609,2397343,2421059,2445046,2468747,2492844,2516978,2541145,2565525,2589933,2614087,2638292,2662742,2687292,2712120,2736585,2761392,2786392,2811707,2836875,2862152,2887661,2913101,2938851,2964588,2990317,3016059,3041986,3068119
1,1,1,1,1,2,2,2,2,3,3,4,5,5,6,6,6,6,6,8,8,8,9,9,12,12,12,13,15,17,19,20,20,20,20,22,22,23,25,27,28,29,29,30,30,33,33,33,35,37,38,40,42,42,47,49,50,50,51,52,52,53,54,55,57,58,58,59,61,61,61,61,61,61,62,63,63,68,70,72,73,77,77,82,83,86,87,88,91,94,94,95,99,102,103,104,107,108,113,114,116,116,116,120,123,125,127,129,130,130,131,132,133,136,137,139,140,140,140,141,142,145,148,150,151,152,152,155,155,157,157,158,159,160,160,163,165,166,167,167,168,169,170,170,172,175,177,177,181,181,183,183,183,187,187,189,189,192,193,195,195,198,198,200,201,202,203,204,205,206,206,207,208,209,210,212,212,214,215,216,219,221,222,223,223,224,228,230,230,230,230,232,234,235,236,241,244,246,249,251,256,258,258,262,265,268,273,277,280,284,288,292,294,299,308,311,316,319,320,325,331,333,337,342,344,354,358,363,363,367,374,380,386,390,394,396,401,407,411,416,422,427,430,435,438,443,448,455,462,472,475,481,483,487,494,499,503,507,510,517,530,534,536,547,559,568,581,594,607,618,635,649,665,679,698,721,733,757,781,792,805,814,825,833,846,860,874,892,902,913,928,939,953,963,977,986,996,1011,1022,1037,1045,1055,1069,1077,1086,1095,1107,1117,1129,1143,1154,1166,1184,1198,1210,1221,1236,1250,1263,1275,1284,1296,1304,1312,1324,1338,1354,1360,1374,1385,1400,1411,1420,1430,1436,1449,1464,1473,1483,1492,1506,1514,1521,1534,1543,1558,1572,1582,1587,1598,1608,1613,1623,1633,1638,1646,1651,1655,1660,1666,1673,1679,1689,1696,1700,1705,1711,1716,1728,1734,1745,1750,1756,1768,1773,1779,1787,1795,1800,1806,1812,1820,1824,1826,1831,1842,1851,1855,1862,1870,1876,1882,1886,1892,1895,1905,1908,1914,1916,1922,1928,1929,1933,1938,1942,1946,1948,1952,1956,1960,1964,1965,1968,1972,1977,1980,1986,1988,1992,1995,1995,2002,2006,2009,2011,2015,2018,2023,2033,2038,2043,2048,2056,2059,2064,2070,2078,2084,2092,2100,2108,2115,2121,2125,2133,2135,2143,2145,2148,2159,2165,2168,2173,2183,2189,2194,2198,2206,2211,2221,2227,2235,2239,2245,2254,2262,2269,2275,2280,2283,2287,2292,2294,2298,2310,2316,2319,2322,2329,2335,2340,2343,2346,2350,2352,2357,2360,2364,2369,2373,2375,2378,2380,2388,2391,2393,2395
1,1,1,1,3,5,5,5,5,5,7,7,7,8,13,14,18,19,20,21,21,25,26,29,29,32,36,40,45,47,47,53,56,62,68,72,78,82,85,88,93,98,99,103,107,109,114,117,121,127,131,136,139,140,143,146,148,151,156,157,163,165,166,167,167,168,172,174,175,177,177,178,180,182,184,190,193,197,204,207,212,214,217,219,224,230,236,245,254,258,267,277,287,290,297,305,317,328,335,349,363,379,393,402,410,422,434,451,469,482,494,509,521,537,551,557,569,591,601,621,646,661,691,710,732,756,787,828,856,887,908,946,979,1011,1043,1087,1133,1178,1226,1277,1345,1397,1456,1511,1566,1619,1673,1736,1810,1865,1925,2004,2096,2172,2242,2316,2387,2464,2540,2612,2709,2795,2901,2991,3092,3182,3280,3376,3470,3565,3658,3774,3881,4009,4138,4262,4420,4587,4761,4928,5135,5308,5540,5749,5950,6131,6344,6539,6739,6957,7179,7402,7635,7851,8078,8309,8582,8874,9186,9490,9834,10178,10576,10980,11399,11839,12300,12799,13333,13818,14333,14822,15406,15965,16560,17147,17721,18356,18960,19603,20209,20832,21426,22054,22614,23196,23776,24371,24982,25564,26143,26706,27295,27916,28512,29120,29733,30366,31020,31627,32261,32905,33556,34240,34870,35498,36155,36791,37434,38101,38734,39382,40068,40714,41361,42019,42666,43341,44022,44675,45383,46087,46768,47504,48192,48887,49573,50274,50958,51669,52435,53153,53893,54628,55385,56115,56904,57707,58559,59380,60211,61034,61872,62753,63622,64492,65451,66406,67315,68274,69238,70233,71296,72391,73422,74464,75581,76698,77772,78851,79997,81238,82417,83697,84910,86084,87349,88586,89870,91202,92519,93978,95394,96803,98173,99598,101153,102617,104137,105678,107250,108832,110419,112079,113865,115578,117422,119183,120970,122780,124674,126590,128508,130551,132561,134636,136809,138943,141100,143371,145676,148052,150480,152962,155503,158033,160804,163627,166420,169180,172111,175204,178131,181174,184203,187337,190633,193793,196987,200268,203578,206901,210306,213752,217184,220598,224034,227420,230958,234488,238087,241818,245472,249189,252984,256875,260826,264955,269080,273185,277391,281617,285862,290274,294800,299409,304082,308759,313494,318496,323500,328537,333800,339016,344414,349863,355491,361138,366752,372508,378365,384282,390266,396602,402929,409248,415658,422045,428696,435371,442166,449096,455971,462991,470217,477356,484837,492208,499618,507065,514669,522258,530009,537668,545666,553672,561894,570087,578290,586900,595511,604152,613114,622242,631470,640860,650390,660130,669968,679952,689991,700451,710889,721401,732192,743114,754054,765246,776723,788480,800408,812415,824363,836651,849212,862006,874777,887777,900779,913887,927166,940496,954242,968076,982128,996362,1010566,1024936,1039557,1054288,1069161,1084305,1099434,1114705,1130164,1145713,1161609,1177485,1193726,1209874,1226236,1242649,1259162,1275880,1292522,1308945,1325564,1342465,1359414,1376437,1393467,1410714,1428043,1445355,1463231,1480840,1498638
1,1,1,1,3,5,5,5,5,6,6,7,7,7,7,10,12,12,13,15,15,17,20,25,33,34,36,44,45,49,53,58,61,68,71,79,85,88,90,93,94,97,102,107,115,124,130,136,140,148,153,161,164,172,178,181,187,193,197,201,208,215,218,221,225,229,233,235,235,242,245,252,257,263,265,270,272,278,284,288,291,296,302,309,319,322,330,337,346,350,355,363,375,384,388,396,398,405,409,417,424,429,432,435,440,445,453,455,462,466,472,478,486,493,502,505,512,515,521,529,533,539,545,547,557,564,568,576,589,604,613,620,632,646,666,676,687,696,703,710,722,744,760,771,786,795,809,817,830,842,862,877,890,908,924,934,943,950,958,973,982,999,1009,1021,1036,1044,1065,1074,1085,1090,1102,1121,1140,1154,1167,1170,1177,1189,1203,1218,1230,1241,1252,1261,1272,1283,1296,1308,1318,1324,1333,1356,1373,1384,1400,1414,1434,1451,1458,1468,1489,1501,1521,1534,1555,1577,1590,1598,1613,1629,1648,1668,1683,1696,1714,1726,1748,1772,1790,1803,1811,1833,1851,1865,1880,1891,1910,1929,1946,1966,1985,2005,2015,2029,2046,2059,2073,2083,2095,2105,2120,2134,2153,2163,2175,2198,2209,2227,2237,2250,2268,2281,2291,2297,2311,2316,2332,2342,2352,2362,2376,2384,2391,2408,2421,2433,2445,2452,2462,2473,2486,2498,2514,2530,2539,2555,2574,2596,2616,2629,2651,2676,2696,2716,2751,2775,2799,2828,2847,2875,2901,2936,2962,2977,3011,3035,3071,3110,3137,3159,3192,3229,3262,3306,3328,3355,3382,3410,3439,3476,3518,3557,3595,3646,3695,3739,3793,3854,3915,3961,4013,4071,4128,4193,4247,4310,4359,4436,4520,4604,4688,4775,4858,4928,4999,5110,5194,5290,5386,5503,5619,5731,5821,5929,6037,6129,6258,6381,6516,6622,6732,6870,6987,7121,7246,7403,7571,7733,7867,8046,8242,8430,8619,8809,8987,9171,9368,9572,9779,9998,10233,10474,10702,10941,11187,11455,11741,12037,12332,12613,12923,13263,13588,13905,14226,14546,14900,15271,15643,15986,16345,16689,17041,17426,17812,18222,18668,19091,19502,19962,20443,20919,21441,21985,22437,22943,23445,23941,24440,25006,25563,26141,26743,27346,27992,28671,29366,30099,30876,31645,32518,33431,34325,35299,36193,37108,38059,39019,40007,41036,42043,43036,44056,45082,46097,47104,48094,49159,50178,51241,52254,53378,54490,55561,56638,57736,58847,59932,61112,62256,63430,64623,65843,67007,68190,69388,70621,71821,73120,74337,75538,76804,78073,79346,80700,82026,83314,84693,86071,87464,88953,90419,91922,93432,95023,96595,98260,99992,101712,103545,105385,107210,109046,110922,112783,114647,116644,118658,120714,122798,124752,126837,128874,130924,133067,135166,137388
1,1,2,2,2,3,5,6,8,10,10,13,14,19,20,21,23,27,27,30,32,32,32,34,38,40,42,44,46,48,51,56,56,58,62,68,69,72,73,74,75,79,85,86,87,97,100,104,106,110,112,115,117,120,127,129,134,136,139,142,147,152,154,156,161,162,168,170,173,177,179,181,183,184,189,192,193,195,197,202,202,204,206,208,210,211,215,217,220,225,228,231,235,237,238,240,241,243,243,244,244,244,247,249,252,254,255,255,257,258,260,263,263,265,268,269,270,271,273,274,274,280,282,285,287,288,290,293,298,300,302,304,307,309,313,315,319,322,326,331,339,343,351,354,366,376,385,390,395,405,415,425,435,445,454,464,470,479,484,488,493,497,505,515,521,533,539,544,553,560,563,568,575,583,587,595,605,621,629,636,642,649,652,664,678,688,700,709,727,733,746,762,785,801,816,829,835,845,859,866,883,895,911,928,942,956,975,991,1007,1024,1047,1065,1079,1092,1107,1123,1142,1158,1179,1197,1221,1237,1258,1271,1288,1309,1334,1351,1368,1390,1404,1425,1446,1471,1490,1519,1541,1558,1580,1613,1640,1670,1693,1711,1727,1753,1775,1805,1831,1860,1881,1916,1943,1967,2004,2032,2065,2089,2116,2142,2173,2192,2215,2235,2270,2293,2311,2330,2350,2378,2402,2423,2442,2468,2490,2520,2553,2587,2608,2628,2654,2671,2706,2739,2759,2803,2843,2877,2914,2958,3001,3043,3088,3122,3163,3217,3259,3315,3369,3426,3476,3526,3584,3642,3694,3751,3807,3854,3906,3964,4019,4078,4128,4179,4233,4295,4351,4424,4496,4568,4628,4697,4781,4860,4939,5023,5102,5185,5292,5391,5488,5612,5727,5831,5931,6054,6189,6310,6453,6586,6728,6869,7039,7187,7344,7501,7654,7811,7967,8154,8340,8508,8659,8832,9011,9187,9355,9521,9717,9908,10096,10279,10471,10679,10870,11097,11353,11569,11849,12112,12365,12674,12967,13290,13621,13914,14282,14618,14971,15304,15673,15999,16384,16741,17084,17475,17871,18306,18699,19140,19579,20000,20463,20897,21380,21904,22460,22996,23578,24133,24706,25281,25843,26423,27001,27583,28238,28831,29511,30146,30788,31415,32046,32724,33387,34065,34719,35367,35963,36606,37254,37929,38620,39326,39982,40722,41472,42228,42999,43763,44538,45370,46170,46975,47832,48717,49588,50469,51381,52282,53201,54094,55046,56021,56956,57927,58898,59899,60981,61981,62993,64069,65151,66285,67344,68401,69479,70564,71647,72769,73877,75039,76160,77255,78318,79486,80712,81930,83136,84322,85592,86875,88172,89465,90851,92241,93619,95063,96494,98020,99452,100999,102623,104232,105839,107452,109132,110785,112458,114168,115973,117701,119539,121429,123287,125192,127105
1,1,1,1,1,1,1,1,1,1,3,3,5,8,8,8,12,13,13,15,16,18,20,23,26,27,32,35,41,47,53,58,64,71,76,80,84,87,96,106,116,124,134,140,153,160,172,188,197,212,220,232,244,253,267,282,295,307,319,334,351,375,391,413,439,459,474,495,512,535,555,578,607,633,655,681,702,724,753,774,803,822,839,860,890,911,939,959,981,1006,1034,1063,1081,1104,1129,1154,1174,1199,1234,1260,1289,1319,1356,1392,1432,1465,1501,1539,1555,1585,1615,1653,1690,1725,1760,1795,1824,1851,1881,1908,1941,1978,2008,2036,2074,2122,2156,2180,2211,2244,2282,2311,2335,2351,2382,2422,2446,2477,2501,2520,2544,2568,2597,2618,2632,2656,2680,2701,2719,2748,2769,2794,2812,2835,2863,2890,2913,2939,2960,2983,2999,3030,3057,3088,3114,3142,3171,3197,3222,3255,3299,3333,3360,3384,3416,3452,3470,3496,3535,3566,3594,3618,3656,3692,3723,3749,3782,3818,3852,3883,3922,3960,3993,4028,4077,4117,4160,4198,4238,4284,4319,4380,4427,4472,4515,4568,4628,4685,4736,4790,4846,4901,4960,5023,5094,5157,5227,5293,5358,5434,5498,5574,5641,5707,5788,5890,5979,6074,6172,6284,6402,6525,6649,6782,6944,7151,7357,7535,7729,7906,8116,8335,8550,8786,9020,9278,9483,9691,9939,10151,10393,10631,10828,11078,11340,11578,11791,12048,12327,12608,12880,13176,13505,13772,14140,14500,14880,15247,15636,16017,16368,16778,17162,17531,17926,18302,18690,19061,19456,19825,20212,20570,20919,21272,21623,21991,22353,22748,23068,23389,23729,24098,24455,24821,25160,25513,25904,26293,26691,27089,27490,27924,28368,28794,29251,29681,30104,30579,31060,31545,32089,32598,33185,33744,34299,34805,35344,35966,36562,37108,37651,38227,38753,39348,39924,40576,41176,41758,42385,42983,43584,44229,44850,45449,46083,46716,47344,48000,48659,49336,49996,50693,51391,52110,52879,53630,54357,55156,55928,56709,57477,58298,59144,59943,60761,61575,62418,63274,64155,65032,65960,66905,67836,68869,69976,71107,72214,73399,74569,75793,76912,78127,79355,80625,81865,83179,84470,85813,87171,88456,89770,91091,92439,93915,95345,96816,98304,99829,101388,102941,104561,106133,107773,109425,111066,112688,114392,116149,117844,119625,121415,123246,125090,126907,128798,130670,132628,134682,136795,138904,140991,143189,145396,147645,149928,152342,154631,157048,159448,161845,164222,166645,169179,171721,174519,177131,179874,182714,185566,188310,191174,194073,197002,199967,202927,206159,209241,212461,215727,218881,222211,225636,229127,232560,236258,239925,243669,247547,251402,255476,259461,263635,267735,271902,276206,280763,285331,290076,294915,299785,304734,309893,315102,320359,325723,331176,336670,342351,348255,354174,360267,366351,372570,379017,385495,392050,398772,405567,412510,419636,426823,433876,441227,448795,456292,463899,471619,479204,487168,495047,503004,511152,519491,527992,536532,544974,553421
1,1,1,4,4,5,6,6,7,8,9,9,10,12,15,16,20,22,26,28,33,40,48,50,55,58,64,65,70,73,79,83,85,87,92,96,100,102,108,116,121,125,131,142,146,150,159,167,170,175,181,183,188,193,198,206,213,217,223,228,231,239,244,255,261,266,275,281,292,300,305,315,321,333,340,350,356,368,374,388,394,398,405,409,423,429,440,450,457,473,482,488,491,500,510,518,528,536,548,556,560,568,576,579,587,592,601,608,617,620,624,628,633,639,646,652,654,655,662,664,667,673,683,690,694,704,711,719,723,726,733,737,744,750,756,761,766,771,776,779,786,793,799,804,811,817,821,827,835,843,847,851,860,866,872,877,890,892,899,905,914,921,928,937,946,953,962,972,980,988,997,1009,1014,1024,1032,1040,1052,1061,1067,1076,1081,1092,1098,1106,1115,1121,1128,1136,1142,1149,1159,1164,1175,1181,1188,1194,1208,1213,1224,1233,1242,1246,1255,1266,1274,1282,1294,1300,1308,1323,1334,1344,1354,1361,1381,1390,1400,1414,1436,1447,1460,1471,1494,1514,1527,1545,1565,1583,1605,1623,1643,1664,1687,1705,1723,1742,1757,1775,1797,1816,1834,1850,1876,1884,1904,1931,1954,1973,2006,2034,2066,2093,2114,2147,2171,2207,2245,2274,2316,2349,2386,2416,2448,2481,2511,2543,2573,2601,2644,2680,2721,2756,2818,2877,2931,2995,3050,3102,3171,3242,3346,3465,3587,3720,3876,4020,4179,4349,4533,4712,4866,5020,5184,5348,5496,5655,5805,5953,6138,6314,6485,6660,6835,7038,7257,7493,7721,7938,8174,8397,8613,8838,9041,9262,9478,9682,9910,10117,10335,10542,10749,10950,11163,11362,11577,11767,11972,12175,12398,12651,12884,13122,13382,13623,13908,14186,14454,14717,14975,15270,15566,15858,16138,16438,16703,16973,17245,17546,17842,18128,18462,18801,19168,19564,19953,20330,20743,21176,21566,21990,22418,22786,23234,23667,24105,24584,25042,25488,25920,26368,26805,27244,27713,28216,28650,29113,29556,30009,30506,30963,31405,31915,32409,32932,33401,33895,34445,34979,35507,36065,36688,37335,37968,38644,39317,39996,40793,41593,42401,43210,44024,44814,45610,46428,47244,48089,48922,49736,50568,51442,52318,53213,54121,55086,55943,56878,57878,58939,60050,61179,62461,63696,65028,66391,67761,69110,70559,71998,73518,75040,76576,78037,79607,81218,82811,84420,86076,87832,89587,91342,93192,95093,97156,99170,101229,103211,105300,107527,109777,112113,114457,116771,119084,121439,123898,126349,128782,131280,133745,136325,138862,141535,144236,146911,149668,152397,155246,158037,160963,163982,167084,170260,173583,176861,180225,183582,186978,190448,193974,197593,201304,205190,209030,212988,216948,221026,225117,229246,233527,237995,242506,247135,251669,256330,260939,265771,270574
1,1,3,5,7,9,13,14,17,18,18,18,20,23,26,27,29,31,31,34,36,38,43,48,51,56,59,60,62,68,71,74,82,88,92,95,99,106,111,117,123,130,134,137,144,150,158,167,174,182,188,190,193,196,202,208,210,213,221,228,232,237,245,250,257,262,271,279,285,290,300,307,318,333,343,354,362,378,394,409,428,447,461,473,497,507,529,551,568,590,612,638,654,679,706,733,754,769,795,815,839,856,883,910,945,978,993,1029,1064,1092,1124,1161,1186,1222,1254,1282,1307,1342,1395,1437,1486,1538,1575,1627,1674,1717,1760,1805,1835,1864,1897,1935,1989,2035,2075,2124,2179,2224,2264,2313,2360,2409,2463,2513,2557,2603,2651,2693,2756,2804,2857,2905,2957,2994,3047,3090,3132,3200,3250,3308,3369,3426,3478,3532,3588,3659,3732,3801,3865,3939,4005,4071,4132,4209,4285,4366,4466,4544,4630,4736,4817,4946,5042,5133,5240,5358,5459,5577,5687,5786,5886,6028,6142,6263,6384,6503,6634,6774,6929,7080,7236,7366,7517,7683,7835,7985,8152,8319,8501,8723,8923,9129,9329,9529,9756,9998,10253,10504,10748,11002,11273,11537,11804,12080,12371,12623,12921,13233,13541,13867,14176,14487,14812,15110,15444,15773,16111,16491,16878,17244,17624,18022,18415,18759,19169,19555,19960,20400,20825,21276,21725,22157,22611,23122,23600,24029,24539,25034,25539,26032,26537,27078,27633,28213,28760,29311,29931,30525,31124,31720,32342,33003,33637,34240,34857,35470,36163,36784,37424,38089,38693,39391,40027,40678,41402,42079,42815,43562,44321,45107,45890,46723,47565,48394,49263,50144,51007,51935,52885,53878,54872,55818,56789,57866,58849,59907,60999,62119,63210,64355,65529,66738,67951,69188,70496,71804,73105,74428,75698,77003,78372,79736,81172,82579,83973,85333,86755,88157,89576,91007,92407,93972,95502,96920,98462,100014,101539,103162,104776,106375,107940,109687,111402,113255,114992,116882,118792,120736,122794,124834,126954,129055,131132,133412,135726,138104,140531,143082,145613,148298,151005,153659,156330,159125,161969,164748,167640,170547,173612,176570,179692,182889,186147,189416,192796,196183,199685,203168,206910,210533,214108,217731,221554,225217,229067,233084,237193,241361,245601,249735,254041,258486,263030,267487,272041,276636,281232,286033,290791,295641,300617,305575,310693,315837,320937,326225,331602,337040,342572,348179,353834,359576,365537,371497,377561,383850,390206,396652,403227,409860,416644,423473,430472,437561,444736,452087,459443,467192,474805,482776,490717,498794,507101,515525,524241,532954,541849,550815,560005,569425,578708,588283,598091,607945,617862,628110,638349,648689,659480,670304,681338,692375,703427,714862,726533,738159,749696,761547,773521,785663,798037,810587,823073,835787,848501,861466,874521,887951,901577,915251,929137,943281,957562,971804,986481,1001184,1016087,1031032,1046375,1061934,1077557,1093613,1109709,1125840,1142368,1158990,1175258,1191744,1208531,1225780,1242495,1259614,1276760,1294248,1311912,1329676,1347694
1,1,1,1,1,1,1,3,3,6,7,8,10,13,16,16,16,17,19,21,27,32,36,44,49,55,63,68,76,86,95,104,110,115,127,136,152,167,173,179,189,202,220,225,243,258,269,285,297,315,328,351,364,380,400,421,438,456,469,480,501,529,544,559,570,602,627,648,669,698,718,738,754,772,797,813,838,864,881,904,917,928,938,951,962,984,997,1010,1037,1058,1076,1103,1124,1146,1161,1204,1226,1253,1279,1317,1350,1389,1443,1495,1534,1585,1639,1694,1754,1811,1872,1940,2004,2059,2091,2146,2212,2268,2325,2381,2440,2505,2570,2645,2714,2789,2876,2942,3028,3123,3211,3296,3384,3471,3568,3663,3745,3843,3942,4030,4111,4179,4264,4356,4436,4515,4598,4672,4747,4810,4885,4957,5025,5086,5162,5233,5308,5392,5472,5538,5619,5707,5787,5867,5977,6110,6235,6351,6466,6612,6773,6923,7059,7184,7341,7489,7617,7759,7914,8100,8266,8426,8587,8754,8891,9030,9187,9355,9504,9703,9890,10059,10244,10448,10654,10849,11022,11236,11420,11633,11844,12029,12224,12431,12649,12880,13101,13328,13580,13841,14101,14377,14663,14924,15200,15486,15803,16116,16431,16744,17102,17420,17804,18185,18580,18954,19353,19759,20183,20644,21110,21567,22011,22493,22989,23500,24018,24555,25106,25640,26215,26821,27448,28033,28659,29293,29918,30576,31237,31902,32629,33307,34060,34813,35617,36429,37226,38121,39027,39902,40809,41697,42635,43579,44547,45501,46514,47490,48448,49467,50523,51637,52767,53885,55038,56295,57504,58727,60021,61293,62604,63934,65267,66709,68194,69604,71090,72639,74165,75719,77245,78745,80339,81982,83586,85129,86868,88573,90301,92103,93967,95790,97565,99451,101448,103372,105358,107429,109606,111667,113837,115975,118185,120388,122666,125028,127414,129810,132274,134733,137311,139848,142421,144985,147675,150415,153106,156071,159020,162022,165090,168222,171442,174683,178162,181526,185071,188658,192300,195995,199815,203642,207647,211810,216131,220411,224722,229059,233463,237973,242514,247148,251836,256648,261451,266455,271398,276273,281357,286447,291446,296600,301880,307242,312600,318144,323766,329277,334863,340517,346370,352269,358159,364281,370378,376699,382933,389199,395704,402344,409183,416127,423341,430555,437940,445493,453022,460504,468177,476097,484053,492093,500365,508902,517391,525675,534102,542871,551803,560689,569709,578890,587973,597319,606789,616332,625888,635423,645402,655409,665580,675725,686184,696779,707373,718077,728906,739653,750806,762144,773420,784895,796551,808463,820455,832722,844869,857274,870017,883000,896062,909195,922440,935992,949775,963564,977650,991798,1006202,1020673,1035712,1050799,1065693,1081157,1096399,1112045,1127890,1143560,1159550,1175777,1192268,1208670,1225304,1242103,1258964,1275741,1292717,1309835,1327393,1344936,1362510,1380430,1398122,1416154,1434590,1452978,1471284,1489711,1508282,1527073,1545884,1564890,1584135,1603403,1622426,1641825,1661450,1680961,1700661,1720580,1740574,1760430,1780298,1800384,1820718,1840896,1861441,1881954,1902470,1923116,1943977,1965005,1986299,2007285,2028767,2050231,2071892
1,1,1,1,1,1,3,4,4,5,7,8,11,16,19,21,23,25,25,25,31,35,40,42,49,54,57,64,71,74,81,86,91,96,101,104,111,112,117,124,130,135,142,146,151,154,159,161,167,173,177,179,183,188,191,194,198,202,207,211,215,221,226,235,242,247,253,257,258,267,275,279,287,294,297,300,303,308,317,320,322,328,332,334,338,349,353,357,362,366,370,379,380,385,386,393,396,400,407,417,425,431,436,443,455,462,470,478,493,500,506,513,521,524,531,542,549,556,567,578,585,593,604,615,622,630,634,642,647,657,662,674,685,691,697,704,713,725,735,745,751,760,765,775,782,796,806,820,827,832,841,850,855,867,876,886,892,901,908,916,924,928,933,945,957,965,973,979,985,991,1000,1009,1013,1028,1039,1046,1055,1068,1075,1083,1088,1093,1100,1109,1119,1126,1132,1144,1154,1163,1172,1185,1196,1201,1212,1223,1234,1248,1258,1269,1282,1298,1318,1337,1353,1376,1403,1436,1459,1486,1516,1545,1575,1606,1628,1655,1688,1722,1763,1802,1848,1895,1944,1986,2029,2070,2113,2155,2201,2247,2291,2345,2393,2429,2468,2516,2574,2619,2674,2744,2797,2859,2908,2960,3024,3084,3140,3186,3244,3297,3357,3430,3494,3552,3606,3676,3740,3807,3881,3957,4019,4087,4178,4280,4360,4456,4578,4696,4809,4919,5052,5178,5309,5452,5606,5770,5949,6141,6305,6461,6633,6810,6997,7187,7387,7588,7772,7977,8143,8325,8520,8697,8905,9104,9291,9475,9666,9879,10053,10219,10394,10580,10752,10924,11096,11285,11464,11667,11858,12041,12215,12403,12593,12786,12974,13182,13392,13619,13802,14029,14268,14512,14756,15024,15292,15562,15809,16078,16314,16577,16880,17153,17441,17750,18032,18322,18614,18918,19211,19534,19894,20220,20524,20843,21167,21520,21904,22270,22656,23046,23439,23851,24260,24689,25121,25542,26031,26487,26991,27461,27964,28498,29021,29524,30049,30621,31200,31799,32343,32887,33503,34062,34636,35263,35877,36522,37191,37852,38491,39152,39904,40627,41362,42152,42941,43731,44528,45303,46083,46891,47701,48587,49478,50327,51153,52055,52927,53818,54742,55659,56570,57549,58540,59589,60558,61675,62820,63918,65046,66195,67413,68514,69727,70939,72181,73405,74649,75993,77291,78635,80052,81457,82901,84330,85801,87235,88744,90251,91803,93353,94886,96478,98185,99788,101476,103134,104873,106664,108482,110214,112040,113895,115820,117709,119612,121584,123591,125623,127682,129802,131896,134089,136307,138554,140806,143191,145672,148090,150600,153110,155701,158270,160833,163472,166149,168956,171726,174535,177456,180292,183157,186074,188972,191886,194958,197944,201059,204336,207668,210960,214347,217770,221303,224973,228641,232384,236271,240137,244266,248286,252412,256615,260988,265290,269643,274248,278816
1,1,1,1,1,2,3,4,6,6,10,14,15,17,22,28,31,33,33,36,36,42,42,45,50,51,57,57,61,63,65,68,72,78,80,84,89,92,95,98,101,107,111,124,129,132,134,139,153,159,164,167,170,175,179,182,188,197,201,208,216,220,223,224,225,229,233,238,246,256,260,264,268,271,272,275,276,279,282,293,298,303,306,311,311,316,317,320,321,324,328,333,340,342,348,352,355,357,359,360,362,365,367,375,381,384,389,395,400,404,404,409,414,424,433,440,449,456,469,471,480,486,494,503,512,519,523,534,549,559,570,582,589,606,628,641,653,680,693,712,728,750,778,801,823,849,875,890,909,932,955,982,999,1040,1063,1094,1122,1157,1202,1243,1297,1343,1397,1448,1490,1571,1656,1760,1869,1979,2096,2210,2360,2517,2675,2846,3017,3208,3372,3540,3719,3905,4137,4322,4571,4810,5106,5390,5714,6057,6390,6732,7081,7426,7782,8131,8484,8823,9144,9487,9850,10169,10474,10794,11092,11392,11705,11991,12310,12637,12932,13243,13522,13818,14108,14440,14743,15074,15388,15715,16046,16382,16692,17015,17342,17719,18058,18386,18774,19147,19523,19908,20315,20751,21183,21624,22050,22517,23026,23503,23970,24432,24923,25484,25981,26532,27047,27555,28147,28707,29321,29895,30433,31006,31571,32145,32776,33416,34070,34721,35327,35973,36618,37298,37929,38650,39320,40077,40785,41526,42252,43015,43815,44619,45431,46292,47208,48072,49012,49947,50888,51887,52890,53957,55069,56265,57473,58709,60023,61228,62574,63883,65242,66608,68082,69526,71003,72406,73946,75393,76889,78467,79954,81491,83066,84722,86344,88118,89877,91619,93405,95173,97003,98767,100630,102516,104432,106458,108512,110566,112821,115041,117332,119642,121952,124205,126642,129010,131468,133946,136550,139252,142077,144823,147647,150451,153376,156513,159617,162716,165856,169013,172309,175544,178870,182269,185725,189274,192739,196317,199924,203700,207479,211376,215243,219212,223178,227239,231412,235621,239987,244299,248641,253158,257643,262229,266963,271797,276706,281724,286818,292159,297422,302657,307958,313361,318962,324476,330293,335919,341810,347768,353884,360070,366212,372455,378862,385398,392054,398846,405829,412876,419907,427109,434381,441702,449197,456803,464430,472179,480196,488139,496212,504321,512690,521321,529948,538701,547775,556808,566113,575541,585095,594924,604755,614779,625050,635345,645857,656477,667266,678408,689489,700471,711780,723238,735075,746758,758740,770842,783118,795713,808298,821016,834161,847206,860462,873803,887467,901132,915119,929083,943144,957476,971939,986641,1001383,1016044,1031126,1046309,1061615,1077146,1092636,1108501,1124418,1140409,1156227,1172415,1188984,1205433,1222285,1239124,1255910,1272840,1290024,1307051,1324465,1341871,1359367,1376939,1394543,1412490,1430546,1448629,1466954,1485156,1503532,1522245,1540867,1559843,1578796,1597781,1616792,1636193,1655329,1674786,1694641,1714606,1734950,1755100,1775217,1795760,1816258,1837048,1857717,1878917,1900037
1,1,1,1,1,2,2,2,2,3,5,9,9,10,11,11,12,13,15,16,19,21,23,26,29,34,36,38,40,47,52,54,60,67,70,75,82,88,95,105,109,121,130,137,149,159,167,184,192,203,214,222,233,244,253,264,272,282,293,300,313,320,332,349,361,369,376,384,391,406,417,424,431,443,454,461,471,479,490,503,519,531,541,559,570,587,599,608,623,640,664,689,714,746,773,807,837,874,903,943,971,1009,1048,1091,1134,1170,1211,1244,1296,1347,1397,1442,1488,1534,1579,1621,1671,1707,1749,1786,1820,1861,1904,1947,1988,2019,2066,2125,2176,2226,2268,2322,2362,2405,2467,2518,2575,2637,2709,2766,2847,2911,2967,3036,3102,3209,3283,3355,3433,3500,3571,3657,3750,3840,3947,4041,4127,4205,4290,4372,4446,4525,4585,4678,4757,4840,4929,4997,5075,5182,5277,5341,5422,5513,5589,5664,5748,5834,5924,6001,6075,6177,6253,6329,6421,6505,6590,6675,6742,6821,6911,7011,7111,7218,7328,7431,7527,7621,7721,7803,7933,8038,8142,8277,8389,8525,8661,8785,8901,9036,9170,9311,9443,9566,9701,9807,9912,10039,10173,10298,10444,10583,10680,10810,10917,11033,11150,11270,11432,11568,11697,11865,12025,12178,12332,12490,12668,12842,13022,13195,13394,13606,13788,13988,14181,14361,14558,14760,14959,15206,15477,15746,15990,16277,16584,16911,17238,17578,17881,18227,18578,18929,19322,19729,20131,20511,20908,21320,21731,22103,22519,22959,23372,23810,24164,24553,24914,25286,25619,25990,26356,26678,27024,27378,27712,28039,28385,28711,29053,29398,29736,30045,30424,30787,31124,31483,31855,32246,32667,33066,33495,33935,34366,34800,35245,35692,36164,36613,37068,37502,38010,38493,38968,39433,39877,40401,40925,41428,41908,42405,42923,43452,44027,44593,45111,45628,46208,46799,47400,48013,48632,49228,49850,50479,51188,51904,52647,53363,54106,54868,55649,56522,57448,58355,59289,60258,61206,62227,63223,64209,65266,66363,67466,68570,69682,70766,71858,72955,74143,75291,76494,77712,78935,80145,81356,82573,83782,84938,86217,87418,88701,89964,91240,92561,93922,95293,96647,98037,99479,100986,102573,104165,105664,107268,108929,110660,112456,114216,115985,117957,119935,121922,123929,126014,128154,130361,132634,134860,137229,139588,141961,144368,146935,149418,151933,154455,157057,159589,162174,164888,167549,170273,172968,175752,178483,181253,184107,187044,190021,192966,195988,199020,202109,205343,208582,211857,215315,218770,222232,225845,229475,233220,236951,240806,244796,248818,252746,256974,261171,265476,269798,274102,278662,283348,288113,292885,297570,302424,307233,312184,317269,322412,327617,333032,338568,343908,349461,355338,361077,367022,372875,378891,385105,391328,397641,403894,410329,416979,423542,430231,437109,444090,450982,458101,465292,472581,479950,487544,495302,503045,510998,519251,527586,535893,544553,553303,562319,571459,580665,590105,599818,609589,619407,629254,639459,649625,660188
1,1,1,1,2,3,3,3,3,5,5,8,8,10,10,11,11,12,13,15,18,21,25,27,32,34,35,38,40,43,47,49,51,58,61,65,69,73,76,81,85,93,102,106,113,120,127,130,131,134,141,147,156,161,165,175,179,186,197,200,207,214,224,230,236,239,248,254,260,266,271,279,285,291,297,303,311,319,323,336,343,349,355,360,364,374,379,390,396,401,409,414,424,436,446,453,465,481,489,504,521,525,536,547,561,572,577,593,611,627,637,644,652,663,677,685,698,711,718,723,737,746,758,769,786,803,810,816,825,838,847,857,868,887,900,916,937,971,1004,1026,1054,1077,1102,1134,1162,1198,1238,1260,1299,1341,1389,1426,1464,1493,1527,1568,1602,1633,1667,1700,1733,1772,1804,1834,1866,1911,1951,1984,2010,2047,2097,2152,2200,2256,2307,2373,2428,2479,2528,2597,2654,2707,2762,2815,2887,2954,3023,3083,3154,3234,3309,3363,3438,3520,3620,3696,3777,3871,3969,4069,4171,4303,4441,4587,4747,4924,5090,5292,5492,5684,5877,6066,6257,6441,6620,6810,7014,7194,7402,7621,7800,7989,8165,8371,8567,8758,8929,9109,9306,9505,9703,9901,10101,10346,10595,10806,11007,11243,11481,11724,11955,12186,12426,12663,12912,13193,13472,13754,14048,14307,14586,14836,15124,15395,15704,16001,16289,16600,16942,17292,17641,18036,18448,18856,19229,19607,20022,20507,20968,21499,22063,22659,23293,23893,24509,25130,25821,26536,27233,27921,28658,29475,30277,31074,31886,32662,33475,34243,35117,35938,36777,37664,38540,39515,40504,41581,42609,43585,44590,45675,46725,47875,48992,50154,51326,52490,53624,54852,56139,57343,58597,59840,61139,62464,63798,65181,66475,67875,69317,70810,72332,73784,75368,76896,78408,80015,81648,83313,85052,86684,88468,90124,91883,93759,95531,97324,99232,101091,102920,104816,106767,108689,110606,112610,114690,116809,119046,121330,123641,125932,128303,130653,133091,135546,138058,140551,143389,146153,148916,151681,154468,157396,160281,163120,166070,169070,172053,175040,178033,181030,184113,187304,190458,193523,196660,199839,203174,206479,209921,213234,216685,220187,223767,227428,231208,235053,238909,242863,246989,250938,255066,259273,263634,268114,272678,277292,281873,286638,291316,296030,300835,305806,310850,315917,321094,326239,331608,337001,342482,347985,353523,359221,365127,371100,377396,383595,390023,396524,403178,409784,416681,423690,430635,437908,445170,452592,460041,467785,475613,483508,491590,499703,508081,516464,525142,533920,542951,552074,561298,570653,580045,589753,599671,609642,619676,629754,639876,650146,660673,671322,682357,693377,704331,715634,727348,738938,750908,763044,775111,787253,799809,812549,825363,838368,851346,864575,877798,891274,904909,918726,932650,947175,961738,976412,991053,1005823,1021276,1036545,1051854,1067354,1083317,1099421,1115558,1132039,1148523,1165196,1182105,1199202,1216445,1233826,1251516,1269147,1286808,1304761,1322579,1340585,1358646
1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,5,5,5,5,5,5,5,6,8,8,14,16,21,21,24,28,30,35,38,41,44,55,62,67,76,82,88,96,109,119,127,131,137,140,149,156,160,170,177,181,194,197,201,208,215,219,222,228,233,238,251,258,260,263,269,270,274,281,289,293,296,304,313,319,330,336,343,350,360,367,371,372,376,382,383,384,390,398,402,407,414,417,425,431,435,443,454,460,466,479,491,498,509,516,519,531,539,549,565,584,598,620,642,666,695,721,743,772,794,818,855,892,914,946,974,1016,1044,1081,1121,1167,1208,1244,1283,1329,1373,1425,1477,1519,1581,1636,1688,1760,1822,1894,1961,2022,2093,2169,2252,2331,2415,2495,2596,2669,2768,2858,2948,3043,3136,3223,3327,3432,3540,3655,3761,3869,3992,4114,4242,4368,4480,4606,4733,4871,5017,5157,5285,5423,5583,5765,5947,6125,6275,6447,6622,6800,7024,7237,7453,7663,7885,8105,8277,8483,8703,8916,9152,9377,9587,9816,10073,10312,10557,10807,11069,11300,11547,11789,12050,12305,12610,12899,13181,13455,13753,14043,14333,14608,14891,15202,15518,15835,16164,16474,16810,17154,17503,17849,18178,18520,18908,19261,19643,20020,20416,20825,21232,21681,22106,22541,23019,23494,23990,24451,24899,25387,25868,26401,26877,27390,27921,28489,29043,29586,30125,30703,31299,31929,32564,33190,33842,34482,35127,35796,36465,37140,37821,38547,39292,39985,40736,41504,42262,43060,43837,44622,45394,46232,47098,47944,48786,49568,50484,51354,52248,53149,54114,55021,55986,56936,57949,58996,60048,61090,62205,63283,64332,65376,66415,67479,68565,69712,70795,71856,72986,74201,75403,76605,77896,79208,80564,81835,83139,84520,85902,87286,88657,90030,91491,92928,94370,95824,97311,98817,100382,101888,103515,105134,106848,108588,110360,112090,113842,115656,117489,119287,121184,123073,125029,126974,128888,130967,133108,135245,137347,139550,141859,144080,146348,148678,151222,153701,156255,158742,161284,163902,166558,169303,172009,174702,177450,180392,183278,186135,189151,192094,195165,198376,201518,204771,208044,211394,214796,218198,221652,225247,228821,232564,236283,240041,243837,247683,251616,255581,259733,263788,268000,272361,276830,281321,285881,290479,295104,299921,304820,309789,314749,319728,324998,330260,335626,340989,346347,351878,357270,362833,368428,374179,379941,385991,391975,398110,404392,410497,416845,423517,430275,437276,444461,451844,459314,467009,474730,482443,490130,498111,506341,514485,522927,531453,540048,548784,557367,566250,575188,584170,593600,603117,612585,622395,632443,642653,653021,663529,674055,684912,695776,706976,718529,730090,741561,753498,765392,777349,789637,801831,814229,826702,839303,851762,864360,877028,889940,902812,915755,928953,942240,955583,969166,982755,996315,1010235,1024237,1038123,1052239,1066507,1080678,1095092,1109871,1124851,1140025,1155011,1170242,1186011,1201736,1217530,1233641,1249947,1266197,1282730,1299739
1,1,1,2,3,5,6,6,8,8,8,8,11,13,13,16,20,25,27,27,30,34,36,41,42,43,46,51,55,64,71,79,86,96,101,111,121,127,133,143,153,159,170,176,188,197,209,219,230,241,250,264,281,287,300,312,324,332,346,359,369,382,388,398,408,420,432,444,457,469,481,499,509,526,533,544,551,565,576,584,597,603,620,643,669,686,707,726,746,766,790,813,839,870,907,932,948,994,1026,1080,1125,1178,1220,1276,1318,1382,1424,1459,1508,1541,1576,1616,1656,1692,1723,1757,1806,1847,1890,1929,1979,2020,2062,2113,2158,2228,2287,2334,2393,2454,2509,2598,2679,2738,2803,2872,2938,3010,3069,3139,3208,3269,3332,3405,3468,3539,3608,3667,3732,3798,3867,3929,4001,4077,4146,4210,4270,4341,4429,4500,4563,4634,4707,4769,4847,4950,5009,5091,5170,5239,5310,5386,5484,5550,5629,5721,5811,5882,5975,6061,6163,6247,6325,6404,6480,6555,6628,6722,6823,6911,6993,7088,7169,7260,7348,7446,7534,7619,7737,7839,7950,8043,8145,8230,8345,8452,8572,8678,8796,8922,9045,9160,9304,9442,9566,9694,9822,9959,10098,10216,10327,10469,10612,10767,10914,11047,11180,11303,11441,11576,11731,11901,12055,12206,12381,12525,12698,12898,13109,13306,13524,13728,13952,14184,14414,14682,14929,15200,15463,15699,15946,16227,16484,16763,17011,17264,17538,17839,18161,18491,18813,19132,19436,19775,20095,20415,20766,21114,21484,21893,22288,22688,23101,23508,23910,24330,24754,25190,25628,26098,26552,27083,27543,28022,28531,29038,29580,30119,30708,31248,31861,32440,33082,33747,34428,35151,35848,36573,37359,38183,38979,39766,40608,41461,42293,43209,44079,44915,45811,46696,47683,48626,49611,50622,51629,52622,53648,54627,55643,56692,57786,58958,60113,61314,62517,63755,65042,66335,67731,69127,70530,71983,73530,75144,76694,78294,80025,81714,83480,85283,87014,88821,90662,92580,94447,96411,98427,100521,102628,104803,106935,109176,111425,113641,115976,118311,120720,123220,125736,128395,130977,133723,136406,139353,142269,145325,148384,151475,154595,157778,161061,164414,167814,171210,174652,178203,181824,185540,189254,193096,196925,201005,205013,209127,213413,217718,222107,226569,231098,235878,240456,245121,249934,254802,259808,265062,270232,275630,280985,286674,292489,298339,304443,310572,316842,323086,329497,336022,342698,349442,356279,363326,370374,377657,385088,392710,400515,408394,416487,424515,432759,441332,449869,458481,467245,476237,485408,494522,504101,513568,523306,532986,542657,552573,562792,573133,583654,594232,604928,615667,626701,637725,648997,660335,671760,683305,694956,706710,718674,730648,742844,754961,767637,780195,792949,805895,818946,832221,845662,859286,873016,886743,900624,914879,929083,943216,957583,971993,986600,1001126,1015755,1030964,1045839,1061024,1076293,1091748,1107350,1123035,1138816,1154790,1170796,1186832,1202806,1219093,1235290,1251561,1268132,1284887,1301617,1318401,1335653,1353081,1370435,1388272,1405831,1423702,1441724
1,1,1,1,3,4,5,6,7,7,8,14,16,18,18,19,22,23,26,28,28,32,34,36,40,44,48,55,58,59,59,60,60,64,70,77,81,88,95,100,103,107,113,117,124,128,130,133,138,141,148,154,161,169,176,179,185,187,189,195,202,205,210,217,223,224,229,233,245,255,263,272,282,289,297,310,323,332,344,354,366,373,385,395,407,420,432,439,452,460,474,487,493,498,504,512,519,527,534,541,544,552,561,568,574,579,587,594,602,607,612,620,626,628,633,637,645,650,654,661,663,670,675,679,684,691,692,694,696,699,704,706,707,710,713,720,720,725,726,731,732,740,743,746,748,752,759,764,768,774,776,780,786,792,797,801,803,809,813,818,824,827,830,841,845,848,857,862,866,873,879,887,895,901,910,912,913,920,926,935,940,948,956,960,964,968,974,983,990,997,1010,1017,1023,1034,1043,1050,1059,1064,1074,1088,1096,1107,1118,1133,1138,1148,1158,1163,1176,1198,1208,1219,1238,1254,1262,1272,1280,1286,1292,1304,1309,1315,1321,1332,1349,1357,1365,1385,1397,1405,1419,1433,1445,1461,1476,1484,1511,1525,1540,1555,1575,1599,1622,1649,1668,1703,1743,1779,1834,1893,1947,2021,2096,2179,2229,2286,2357,2428,2494,2546,2609,2675,2744,2819,2899,2983,3058,3148,3261,3361,3459,3562,3662,3772,3868,3993,4107,4222,4334,4449,4564,4708,4817,4915,5050,5178,5300,5422,5542,5663,5796,5903,6034,6152,6296,6417,6568,6704,6835,6970,7106,7241,7391,7525,7666,7799,7963,8111,8253,8408,8576,8753,8939,9125,9295,9466,9677,9882,10054,10252,10483,10718,10918,11152,11382,11618,11884,12146,12407,12689,12975,13282,13558,13863,14197,14532,14886,15199,15525,15886,16273,16636,17006,17404,17795,18247,18632,19054,19470,19891,20348,20764,21194,21613,22045,22464,22913,23352,23848,24302,24828,25335,25821,26371,26894,27422,27980,28525,29093,29638,30215,30794,31394,32061,32757,33469,34169,34860,35624,36325,37077,37868,38729,39646,40542,41451,42381,43282,44249,45186,46145,47117,48127,49187,50215,51263,52332,53377,54464,55564,56762,57901,59078,60322,61580,62917,64227,65666,67114,68506,69970,71374,72902,74372,75794,77311,78872,80472,82031,83598,85186,86764,88377,90027,91604,93296,94953,96636,98348,100167,101919,103665,105417,107277,109113,110983,112870,114877,116931,119108,121234,123405,125543,127807,130006,132278,134545,136853,139186,141484,143772,146249,148654,151077,153683,156271,158885,161570,164367,167137,169956,172722,175666,178540,181421,184454,187575,190722,193877,197232,200601,203975,207462,210869,214455,217993,221657,225397,229125,232939,236858,240798,244814,248982,252964,257136,261375,265598,269884,274326,278793,283272,287886,292509,297395,302161,306928
1,1,1,1,2,4,6,9,10,17,19,20,22,24,29,32,36,44,49,55,63,69,75,79,88,91,94,97,101,111,119,123,131,139,148,153,155,162,169,175,180,185,197,206,215,218,223,233,245,250,256,261,274,282,290,300,309,322,331,338,344,355,363,375,380,385,397,411,427,436,441,449,459,463,477,487,495,508,519,525,534,541,549,559,567,578,588,595,600,613,620,633,642,657,663,672,679,686,693,697,710,713,722,735,742,749,756,766,778,784,793,805,817,827,841,851,863,871,884,897,907,923,932,954,967,980,997,1018,1033,1053,1061,1077,1096,1114,1128,1142,1165,1181,1206,1221,1234,1252,1267,1283,1301,1323,1337,1356,1371,1393,1411,1427,1452,1472,1490,1507,1536,1559,1577,1602,1631,1665,1689,1716,1731,1748,1777,1797,1829,1860,1900,1928,1961,1996,2030,2064,2099,2142,2173,2198,2226,2251,2277,2315,2346,2375,2404,2435,2461,2488,2524,2553,2581,2606,2640,2669,2697,2730,2761,2783,2801,2819,2845,2873,2904,2916,2941,2970,2999,3015,3046,3069,3093,3123,3149,3185,3207,3244,3280,3313,3348,3385,3417,3449,3478,3521,3552,3582,3619,3656,3691,3729,3767,3806,3848,3888,3928,3970,4004,4056,4086,4118,4170,4218,4259,4297,4332,4361,4402,4445,4492,4537,4579,4620,4667,4715,4771,4822,4867,4918,4964,5021,5073,5118,5161,5205,5253,5310,5353,5404,5458,5504,5546,5592,5652,5705,5747,5799,5861,5935,5998,6061,6124,6189,6250,6303,6370,6437,6501,6567,6634,6703,6773,6843,6930,7026,7100,7167,7263,7348,7451,7555,7669,7784,7909,8027,8141,8254,8381,8539,8686,8825,8962,9107,9249,9398,9540,9707,9841,9987,10154,10323,10493,10644,10803,10925,11081,11264,11455,11627,11841,12059,12233,12456,12716,12941,13199,13485,13744,14041,14364,14718,15028,15403,15783,16157,16561,16925,17291,17727,18123,18479,18823,19219,19577,19968,20351,20720,21060,21422,21745,22085,22431,22798,23188,23578,23959,24371,24791,25228,25631,26055,26482,26901,27350,27794,28221,28642,29084,29484,29907,30349,30742,31229,31695,32110,32552,33014,33468,33972,34419,34905,35414,35918,36414,36916,37432,37950,38478,38989,39571,40130,40726,41322,41961,42568,43208,43849,44543,45177,45812,46497,47228,47904,48680,49448,50193,51031,51836,52672,53541,54412,55286,56196,57122,58057,58987,60007,61041,62127,63213,64293,65400,66465,67634,68769,69934,71077,72246,73444,74589,75838,77083,78293,79583,80892,82187,83569,84901,86258,87588,88951,90372,91781,93165,94665,96165,97618,99143,100717,102312,104004,105752,107546,109418,111175,113026,114889,116938,118885,120879,122877,124939,127062,129231,131452,133687,136004,138324,140665,143020,145473,147949,150591,153264,156019,158725,161612,164489,167475,170408,173503,176739,179896,183159,186542,189868
1,1,1,1,2,4,4,9,10,10,10,10,10,14,15,16,21,23,25,26,29,33,36,41,43,49,51,51,58,63,65,71,71,74,75,78,80,84,90,94,99,103,106,109,113,117,122,129,134,143,146,151,152,152,157,161,161,167,169,170,172,173,175,176,180,184,186,193,196,200,201,204,207,211,216,223,225,228,232,242,250,262,267,269,277,282,286,293,302,308,314,317,320,325,334,345,359,370,377,387,396,404,413,426,434,449,460,465,477,489,503,511,519,535,550,560,570,583,598,613,626,637,651,667,681,695,709,728,742,758,768,780,791,806,822,839,855,873,894,912,928,938,959,976,991,1019,1033,1049,1067,1081,1098,1114,1139,1161,1175,1189,1202,1215,1237,1256,1269,1290,1306,1322,1334,1351,1364,1380,1396,1410,1425,1438,1464,1485,1494,1509,1526,1540,1558,1573,1593,1609,1618,1635,1645,1657,1670,1682,1692,1703,1715,1725,1731,1744,1751,1764,1769,1777,1790,1796,1805,1820,1829,1837,1852,1863,1876,1895,1908,1928,1937,1950,1969,1984,1997,2012,2030,2045,2061,2086,2106,2127,2147,2181,2207,2236,2265,2294,2332,2364,2400,2442,2487,2520,2552,2589,2617,2657,2699,2733,2776,2811,2851,2892,2931,2979,3013,3039,3071,3092,3114,3148,3192,3221,3263,3304,3337,3369,3401,3435,3460,3495,3530,3572,3621,3653,3686,3730,3758,3804,3856,3908,3953,4015,4089,4157,4226,4291,4377,4453,4536,4633,4726,4818,4901,4988,5088,5173,5269,5379,5467,5572,5690,5796,5922,6056,6219,6383,6554,6732,6894,7092,7286,7484,7680,7894,8107,8341,8576,8781,9016,9262,9488,9714,9955,10169,10410,10677,10944,11214,11486,11791,12076,12372,12676,12988,13303,13606,13912,14201,14562,14876,15175,15503,15797,16103,16417,16709,17034,17347,17641,17934,18287,18646,18991,19363,19738,20142,20548,20979,21384,21823,22250,22682,23168,23681,24184,24688,25190,25726,26257,26806,27321,27897,28437,29008,29583,30141,30710,31342,31999,32620,33203,33865,34511,35117,35777,36423,37122,37815,38516,39202,39886,40586,41304,42033,42739,43505,44222,44974,45847,46631,47479,48298,49165,50106,51037,52023,53038,54155,55234,56390,57546,58693,59933,61241,62578,63925,65298,66695,68044,69489,70966,72400,73883,75295,76773,78174,79604,81148,82654,84227,85846,87455,89211,90930,92673,94554,96402,98241,100120,102022,103934,105990,108056,110190,112255,114326,116465,118510,120538,122655,124687,126828,129030,131167,133365,135649,137878,140173,142476,144895,147292,149680,152162,154737,157264,159868,162511,165313,168057,170855,173663,176581,179544,182535,185375,188422,191437,194517,197725,200920,204208,207544,210945,214417,218017,221620,225201,228916,232699,236663,240591,244679,248835,253102,257426,261821,266151,270689,275358,280009,284875,289877,294771,299868,305086
1,1,1,1,1,1,2,4,4,6,7,9,10,11,13,14,14,14,14,16,17,19,19,22,24,25,26,27,29,30,33,35,36,38,40,41,41,44,47,50,58,63,67,70,71,76,79,80,83,86,88,94,95,98,101,104,106,107,112,116,118,123,130,133,137,138,141,145,149,149,151,156,160,162,165,170,177,181,183,189,194,200,206,214,227,235,247,253,274,281,299,319,328,342,360,378,403,438,466,493,513,534,560,587,626,645,673,708,739,778,809,843,883,943,981,1035,1091,1144,1194,1255,1310,1383,1434,1490,1552,1614,1673,1730,1789,1851,1929,2003,2084,2154,2246,2342,2439,2545,2654,2767,2876,2978,3098,3210,3330,3454,3573,3704,3846,3982,4134,4293,4444,4620,4780,4950,5122,5284,5438,5607,5792,5980,6155,6331,6514,6686,6868,7040,7250,7421,7634,7843,8035,8255,8453,8658,8842,9070,9263,9470,9688,9905,10157,10383,10594,10805,11042,11294,11545,11804,12051,12322,12609,12873,13163,13450,13748,14046,14350,14697,15033,15397,15764,16145,16537,16976,17384,17814,18280,18733,19200,19658,20110,20583,21080,21610,22147,22683,23187,23782,24399,24992,25613,26250,26862,27456,28076,28714,29356,30020,30710,31357,32066,32734,33419,34099,34812,35518,36293,37031,37805,38607,39370,40092,40905,41712,42545,43291,44131,44933,45718,46550,47386,48293,49180,50107,51000,51949,52923,53936,54985,56030,57080,58157,59203,60395,61544,62705,63770,64944,66118,67243,68405,69596,70861,72063,73284,74543,75790,77036,78324,79656,81053,82435,83892,85370,86825,88292,89741,91169,92634,94178,95730,97306,98893,100510,102179,103796,105553,107321,109127,110911,112672,114587,116515,118524,120541,122637,124637,126825,129010,131196,133436,135797,138102,140528,142922,145348,147759,150228,152769,155294,157923,160731,163446,166193,169088,172012,174955,178001,181034,184157,187354,190519,193799,197090,200591,204115,207727,211239,214894,218533,222189,225908,229786,233604,237536,241570,245535,249623,253931,258129,262339,266657,271092,275560,280146,284658,289298,294037,298771,303663,308544,313418,318355,323504,328625,333743,339117,344423,349876,355427,360982,366623,372414,378343,384376,390617,396789,403087,409466,416117,422895,429708,436666,443807,450952,458306,465692,473141,480705,488306,496117,503773,511666,519560,527636,535689,543911,552307,560611,569211,577886,586693,595422,604320,613277,622342,631513,640886,650358,660100,669902,679817,689785,699908,710178,720719,731443,742235,753017,764077,775062,786431,797844,809400,821164,833066,844940,857112,869403,881749,894428,907232,920229,933166,946189,959207,972611,985977,999638,1013318,1026938,1040996,1055143,1069463,1084000,1098661,1113712,1128774,1143995,1159226,1174795,1190413,1206550,1222754,1239030,1255199,1271807,1288507,1305112,1322109,1339259,1356260,1373528,1390965,1408512,1426002,1443550,1461403,1479361,1497662,1515967,1534159,1552472,1570507,1588950,1607784,1626571,1645614,1664800,1683926,1703029,1722648,1742275,1762206,1782059,1802129,1822341,1842647,1863007,1883689,1904573,1925455,1946508,1967869,1989478
1,1,1,1,3,3,4,4,7,8,8,11,15,15,16,19,20,23,25,30,34,39,42,47,51,56,65,69,73,82,86,94,103,110,115,118,122,130,134,139,145,150,155,160,164,168,169,175,180,183,185,192,197,203,206,209,210,211,212,219,222,227,235,240,243,248,249,259,264,272,278,284,287,290,293,297,305,318,330,341,354,359,365,370,381,392,400,409,416,427,441,454,463,479,485,492,499,509,517,526,540,552,562,568,581,595,614,633,646,655,667,674,693,712,727,741,761,779,801,824,841,863,892,918,942,966,984,1006,1027,1051,1072,1091,1117,1136,1154,1173,1189,1212,1236,1261,1292,1317,1335,1359,1388,1420,1443,1472,1505,1530,1560,1589,1617,1655,1691,1722,1761,1791,1824,1865,1899,1930,1978,2011,2047,2085,2123,2163,2202,2231,2285,2328,2357,2384,2434,2472,2510,2549,2596,2644,2680,2726,2771,2815,2851,2898,2938,2967,3006,3042,3085,3126,3162,3196,3232,3271,3321,3353,3384,3416,3452,3487,3536,3570,3610,3646,3690,3720,3764,3805,3846,3893,3950,4002,4045,4092,4149,4202,4265,4303,4363,4421,4477,4540,4604,4668,4723,4788,4864,4932,5002,5082,5159,5229,5298,5393,5465,5535,5623,5691,5765,5844,5936,6035,6144,6247,6350,6447,6561,6673,6797,6905,7030,7179,7315,7440,7580,7714,7858,8012,8168,8332,8481,8648,8820,8970,9160,9318,9491,9675,9875,10064,10267,10468,10662,10849,11066,11258,11485,11691,11921,12149,12413,12652,12868,13131,13374,13630,13908,14169,14446,14709,15047,15331,15653,15952,16275,16607,16954,17278,17656,18033,18403,18782,19179,19583,20030,20480,20928,21345,21838,22287,22738,23287,23770,24300,24819,25328,25837,26351,26936,27481,28077,28635,29203,29796,30417,31027,31673,32344,33048,33795,34517,35236,36022,36832,37659,38408,39191,40003,40836,41718,42589,43495,44426,45349,46300,47192,48091,49040,50034,51031,52043,53120,54119,55136,56261,57350,58448,59609,60778,62024,63246,64539,65907,67294,68715,70212,71762,73320,75003,76707,78352,80034,81807,83583,85354,87319,89343,91323,93361,95292,97383,99476,101543,103597,105719,107922,110041,112222,114329,116634,118938,121226,123491,125802,128298,130815,133333,135846,138523,141217,143975,146826,149756,152756,155765,158907,162126,165460,168830,172272,175709,179237,182849,186496,190219,194052,197930,201801,205648,209638,213766,217981,222182,226447,230822,235300,240022,244783,249587,254385,259537,264719,270123,275415,280910,286621,292513,298525,304679,310799,317138,323647,330146,336954,343684,350735,357643,364728,372042,379558,387032,394874,402473,410660,418822,427052,435527,444150,453095,461783,470648,479740,488980,498185,507554,516821,526387,536035,545789,555658,565427,575268,585377,595372,605658,616132,626586,637224,647698,658238,669097,680030,691041,702177,713069,724452,735761,747215,758745,770255,781999,793880,805947,817935,830183
1,1,1,1,1,2,5,7,9,12,14,18,20,26,29,32,35,40,43,45,55,59,66,72,82,86,93,102,111,114,125,135,152,166,174,188,200,208,223,231,244,257,266,282,295,310,325,340,354,368,377,399,404,419,435,438,453,464,480,491,515,525,536,548,561,570,581,594,603,622,630,640,650,659,665,679,691,705,724,736,749,761,774,783,800,808,821,832,843,852,859,871,877,886,895,902,912,924,933,945,958,966,972,984,995,1007,1017,1035,1044,1058,1071,1091,1101,1117,1138,1159,1181,1199,1232,1249,1279,1308,1345,1369,1390,1411,1444,1477,1502,1543,1587,1617,1654,1683,1724,1759,1803,1847,1884,1930,1968,2022,2073,2116,2164,2223,2282,2342,2393,2468,2524,2596,2685,2773,2852,2951,3045,3133,3250,3346,3444,3555,3669,3778,3914,4026,4147,4289,4431,4579,4737,4896,5042,5201,5362,5543,5702,5893,6087,6268,6436,6618,6805,6979,7172,7361,7582,7788,8001,8203,8439,8669,8869,9078,9285,9497,9681,9908,10109,10313,10536,10745,10955,11170,11354,11553,11750,11965,12199,12395,12645,12864,13093,13340,13585,13850,14099,14354,14587,14834,15099,15383,15641,15938,16229,16529,16806,17098,17427,17782,18121,18455,18766,19142,19497,19899,20226,20585,20968,21286,21711,22110,22520,22958,23406,23885,24360,24870,25354,25893,26424,26967,27537,28080,28688,29275,29886,30479,31082,31728,32353,33060,33702,34410,35082,35788,36584,37350,38134,38935,39719,40501,41346,42179,43006,43880,44851,45796,46738,47786,48860,49918,51001,52150,53348,54663,56029,57376,58769,60192,61655,63126,64578,66067,67541,69089,70672,72189,73824,75427,77061,78757,80421,82128,83867,85715,87507,89322,91185,93111,95063,97069,99083,101133,103328,105530,107795,110098,112392,114761,117074,119514,121906,124351,126791,129253,131861,134425,137031,139686,142349,145122,147971,150694,153508,156499,159505,162516,165612,168671,171688,174823,178062,181339,184652,187972,191433,194947,198473,202065,205651,209479,213242,217176,221116,225127,229324,233429,237696,242055,246423,250873,255367,259782,264324,269113,273907,278804,283704,288718,293747,298920,304022,309404,315061,320665,326392,332127,338138,344064,350168,356394,362821,369186,375711,382332,388898,395763,402739,409673,416680,424006,431284,438696,446252,453719,461355,469073,477135,485100,493213,501404,509922,518546,527257,536105,545212,554422,563621,573260,582810,592682,602667,613093,623472,634024,644912,655602,666659,677822,689101,700663,712176,723999,735772,747756,760012,772379,784572,797167,809687,822338,835501,848420,861288,874455,887910,901478,915124,928836,942599,956745,970717,984689,999046,1013507,1028238,1042938,1057775,1072613,1087682,1102819,1118060,1133729,1149367,1165071,1181173,1197096,1213472,1229535,1245990,1262583,1279298,1296227,1313367,1330769,1348110,1365682,1383769,1401796,1419868,1438026,1456424,1474831,1493613,1511938,1530784,1549774,1568765,1587871,1607161,1626538,1646307,1666140,1686198,1706227,1726451,1746623,1766844,1787448,1808113,1828975,1849764,1871162,1892296,1913700,1935054
1,1,1,1,2,2,3,3,6,6,8,8,10,10,10,10,10,12,13,14,21,23,27,29,35,37,39,43,46,51,55,57,61,63,66,71,77,81,83,86,88,91,93,95,99,101,105,114,123,125,131,136,138,151,155,160,164,174,183,194,205,217,227,240,244,254,265,285,298,315,332,355,377,411,436,476,532,594,665,739,808,884,960,1037,1121,1216,1293,1369,1441,1501,1551,1609,1677,1737,1814,1893,1955,2005,2080,2152,2218,2304,2396,2495,2610,2729,2839,2950,3059,3163,3274,3393,3505,3617,3728,3830,3950,4064,4154,4243,4327,4414,4513,4594,4668,4763,4841,4908,4973,5057,5132,5203,5264,5342,5408,5470,5553,5606,5651,5717,5775,5830,5882,5934,5973,6015,6073,6118,6158,6208,6245,6288,6329,6371,6407,6455,6495,6543,6586,6630,6668,6719,6749,6796,6834,6872,6899,6927,6968,7000,7039,7084,7129,7163,7205,7238,7262,7294,7334,7375,7405,7441,7466,7501,7529,7574,7616,7648,7684,7721,7760,7798,7834,7877,7913,7961,8002,8054,8098,8135,8185,8230,8280,8335,8389,8451,8511,8588,8649,8707,8769,8825,8873,8943,9006,9068,9133,9197,9258,9318,9378,9443,9516,9584,9648,9724,9787,9859,9914,9984,10050,10128,10198,10286,10381,10462,10541,10633,10719,10816,10908,11021,11134,11289,11409,11536,11661,11821,11963,12113,12265,12431,12596,12749,12906,13067,13224,13405,13579,13757,13927,14105,14294,14486,14658,14822,14999,15195,15364,15535,15731,15936,16151,16371,16542,16755,16973,17211,17456,17692,17943,18193,18441,18702,19005,19310,19570,19833,20135,20421,20716,21028,21351,21678,22030,22404,22757,23139,23512,23881,24261,24630,25025,25416,25804,26178,26629,27090,27480,27902,28333,28732,29198,29628,30109,30599,31066,31620,32155,32692,33240,33787,34386,35001,35607,36276,36958,37672,38367,39081,39827,40543,41257,42006,42767,43594,44406,45239,46072,46907,47727,48560,49418,50279,51177,52093,52971,53841,54800,55783,56781,57819,58955,60049,61091,62164,63278,64495,65716,66904,68125,69321,70554,71922,73243,74676,76055,77431,78920,80335,81869,83432,85039,86695,88303,90019,91741,93443,95184,96909,98686,100529,102327,104188,106104,107971,109932,111987,114002,116030,118066,120171,122300,124504,126794,129096,131365,133641,136081,138587,140999,143514,146114,148898,151555,154265,156992,159809,162638,165450,168469,171388,174329,177327,180372,183385,186533,189777,193039,196221,199357,202655,206010,209408,213011,216587,220255,223919,227663,231420,235197,239071,243076,247102,251168,255373,259554,263993,268275,272796,277401,282056,286668,291419,296394,301454,306487,311507,316712,322084,327379,332825,338406,344202,350026,355930,361950,368032,374269,380695,387080,393600,400373,407064,413857,421000,428053,435217,442470,449753,457175,464852,472459,480316,488206,496220,504442,512784,521234,529948,538685,547780,556996,566299,575821,585330,595164,605060,615092,625261,635738,646234,656950,667665,678619,689688,701010
1,1,1,1,1,1,1,3,3,4,4,5,5,6,10,10,11,11,11,14,17,21,26,28,31,37,40,42,47,52,56,62,67,74,82,93,96,104,110,117,121,130,141,152,158,164,169,176,185,191,199,208,216,223,232,240,246,258,267,273,286,297,312,322,332,341,348,358,368,380,391,403,413,430,442,455,466,489,500,515,532,547,571,587,601,616,627,643,662,683,701,717,733,754,772,793,815,826,852,880,896,916,933,959,977,1003,1033,1058,1081,1103,1125,1146,1176,1195,1215,1233,1254,1277,1297,1318,1345,1365,1392,1418,1434,1462,1482,1499,1522,1544,1563,1583,1598,1620,1634,1660,1678,1701,1722,1746,1770,1795,1818,1840,1868,1893,1909,1934,1972,1998,2034,2065,2092,2130,2180,2226,2270,2302,2348,2391,2437,2478,2515,2563,2611,2659,2708,2755,2788,2844,2900,2950,3009,3055,3115,3171,3227,3271,3331,3387,3436,3504,3568,3638,3694,3761,3830,3885,3950,4018,4082,4158,4231,4310,4388,4470,4549,4614,4703,4779,4868,4941,5030,5115,5211,5294,5374,5492,5601,5725,5836,5959,6061,6192,6311,6438,6561,6693,6859,7028,7199,7377,7541,7740,7954,8134,8351,8542,8753,8984,9234,9483,9715,9995,10260,10593,10940,11270,11599,11950,12285,12601,12945,13307,13702,14104,14549,15009,15450,15925,16417,16892,17375,17855,18371,18893,19453,20013,20593,21180,21768,22355,22988,23595,24222,24915,25571,26238,26931,27636,28338,29097,29835,30641,31388,32171,33091,33989,34903,35843,36832,37912,38986,40059,41151,42253,43395,44557,45762,46921,48128,49367,50637,51877,53135,54467,55801,57117,58380,59801,61118,62523,63997,65436,66872,68434,70001,71498,73112,74707,76369,78023,79610,81367,83068,84801,86594,88389,90316,92187,94115,96135,98188,100201,102288,104360,106573,108782,111051,113372,115722,118081,120593,123085,125573,128225,130799,133513,136218,138963,141720,144445,147280,150234,153181,156207,159429,162510,165728,169015,172387,175712,179120,182507,186164,189822,193487,197152,200853,204655,208454,212345,216287,220333,224451,228594,232915,237358,241698,246460,251096,255760,260651,265497,270541,275630,280748,286046,291566,297277,302812,308651,314454,320408,326413,332568,338908,345240,351742,358501,365078,371917,378656,385569,392444,399515,406781,414009,421328,428801,436096,443751,451358,459178,466959,474891,482877,490998,499261,507836,516278,525118,533990,542868,551961,561254,570568,580002,589724,599726,609933,620209,630657,641163,651857,662710,673450,684435,695502,706593,717809,729211,740451,751999,763526,775131,787071,799120,811087,823380,835793,848460,861191,874016,887233,900484,913881,927716,941360,955030,969159,983130,997475,1011917,1026327,1041223,1055976,1070917,1086012,1101015,1116452,1131804,1147337,1163153,1179029,1195136,1211258,1227483,1244063,1260843,1277813,1294741,1311922,1329187,1346742,1364299,1381653,1399322,1417256,1435256,1453066,1471454,1489870,1508119,1526365,1544737,1563184,1581709,1600145,1618937,1637963,1657017,1676225,1695592,1714759,1734343,1754176
1,1,2,4,4,4,5,5,6,7,8,9,14,16,18,21,21,23,26,28,29,30,30,33,35,39,41,43,46,48,52,57,59,61,64,66,67,70,76,79,83,84,87,90,95,96,99,104,107,113,116,118,126,129,131,134,137,141,143,145,147,148,149,153,156,158,159,162,166,170,173,175,177,181,185,185,187,189,190,193,198,202,204,206,209,213,216,216,219,225,226,228,229,231,235,237,239,242,243,246,249,250,255,257,260,263,266,272,274,281,285,289,292,296,298,306,315,323,329,348,363,388,402,420,436,461,485,514,540,563,591,629,660,685,710,735,769,792,826,856,881,910,937,966,996,1036,1063,1098,1129,1165,1207,1259,1303,1356,1402,1451,1505,1559,1618,1683,1744,1809,1864,1909,1962,2016,2085,2145,2200,2251,2312,2370,2414,2480,2536,2605,2672,2741,2810,2883,2947,3017,3090,3153,3235,3312,3402,3484,3568,3651,3707,3784,3864,3962,4042,4121,4201,4277,4348,4445,4535,4616,4702,4769,4844,4927,4992,5087,5174,5266,5368,5481,5584,5703,5815,5918,6024,6114,6225,6348,6441,6541,6644,6761,6873,6983,7107,7236,7366,7531,7682,7816,7958,8108,8243,8372,8537,8697,8887,9075,9293,9507,9715,9905,10099,10297,10499,10684,10883,11077,11301,11552,11787,12020,12262,12490,12757,13000,13285,13559,13826,14162,14462,14784,15082,15413,15753,16114,16501,16837,17187,17533,17905,18281,18623,19023,19400,19789,20195,20603,21017,21406,21833,22212,22613,23030,23461,23891,24335,24794,25252,25766,26239,26779,27309,27889,28513,29110,29707,30348,31001,31650,32334,32934,33629,34323,35027,35727,36482,37192,37931,38662,39438,40286,41068,41910,42780,43657,44578,45486,46440,47362,48313,49295,50317,51356,52417,53551,54645,55820,57057,58357,59591,60844,62169,63485,64807,66166,67407,68757,70170,71582,73019,74442,75955,77392,78929,80449,81988,83679,85324,87142,89014,90826,92693,94693,96696,98736,100760,102740,104806,106782,108832,110910,112966,115122,117341,119563,121826,124028,126330,128648,131045,133527,136039,138561,141094,143709,146246,148818,151408,154121,156926,159742,162660,165514,168453,171444,174426,177581,180696,183786,186981,190222,193473,196888,200282,203661,207094,210553,214127,217650,221399,225152,228911,232743,236614,240531,244666,248752,252881,257058,261335,265610,270058,274480,278989,283506,288061,292761,297438,302261,307152,312199,317328,322508,327735,333071,338531,344125,349804,355595,361519,367561,373701,379911,386221,392491,398890,405419,412123,418927,425806,432995,440125,447581,454965,462485,470141,477643,485372,493340,501292,509285,517515,525770,533930,542441,550980,559674,568509,577377,586563,595874,605230,614607,624299,634208,643808,653908,664059,674471,685078,695692,706421,717290,728437,739566,751012,762614,774216,785895,797640,809790,821885,834337,846891,859407,872076,884871,897808,911032,924536,938145,951888,965769,979827
1,1,2,3,5,10,14,20,23,24,24,25,26,29,32,34,41,44,49,52,57,59,65,68,71,75,81,86,89,95,101,105,111,115,120,122,123,129,132,137,138,142,145,155,156,159,163,165,171,174,176,178,182,184,184,184,187,191,193,198,203,206,207,208,211,216,222,230,234,243,247,253,260,265,268,274,280,292,296,306,312,320,327,333,344,360,369,372,386,395,398,412,425,434,439,453,466,477,492,507,527,549,567,580,598,615,637,668,690,717,734,763,794,830,846,889,926,966,1005,1047,1094,1133,1180,1212,1257,1294,1347,1402,1465,1521,1586,1640,1682,1737,1790,1857,1927,2009,2083,2154,2262,2343,2428,2518,2612,2701,2801,2887,2987,3080,3174,3263,3369,3451,3536,3619,3722,3798,3876,3967,4049,4141,4223,4305,4416,4526,4621,4748,4865,4982,5102,5229,5353,5468,5594,5705,5840,5974,6103,6253,6388,6530,6693,6845,7026,7212,7380,7551,7718,7884,8067,8236,8412,8592,8769,8904,9052,9208,9397,9553,9713,9882,10040,10201,10364,10533,10759,10974,11200,11425,11654,11903,12142,12417,12666,12938,13239,13513,13803,14100,14418,14710,14968,15275,15523,15816,16073,16371,16645,16908,17176,17456,17729,18005,18267,18522,18793,19067,19318,19592,19853,20162,20437,20734,21042,21333,21662,21941,22259,22593,22904,23263,23599,23967,24336,24704,25096,25519,25917,26305,26718,27120,27537,27984,28456,28899,29332,29818,30259,30714,31161,31641,32147,32608,33134,33636,34177,34735,35247,35774,36281,36858,37436,37986,38560,39113,39683,40250,40845,41396,41985,42608,43226,43867,44496,45229,45961,46622,47314,48063,48797,49598,50345,51125,51907,52733,53599,54451,55314,56219,57135,58062,59014,59928,60919,61911,62942,63991,65077,66138,67254,68381,69514,70600,71767,72951,74188,75489,76807,78095,79417,80839,82248,83779,85280,86751,88310,89889,91534,93246,94872,96531,98327,100082,101874,103742,105654,107597,109602,111641,113624,115778,117940,120018,122267,124503,126904,129322,131615,134026,136469,138836,141271,143845,146380,149034,151682,154489,157280,160089,162911,165748,168787,171776,174910,178102,181346,184640,188027,191474,195146,198730,202385,206202,210079,213913,217833,221762,225687,229705,233636,237733,241824,245903,250079,254286,258511,262703,267186,271580,276158,280803,285566,290289,295252,300123,305138,310268,315536,320791,326248,331798,337357,343142,348915,354725,360700,366713,372679,378856,385077,391478,397852,404464,411003,417712,424452,431340,438410,445569,452871,460140,467439,474890,482408,490269,498202,506203,514497,522711,531246,539754,548538,557298,566235,575190,584266,593504,602953,612306,621972,631520,641358,651467,661495,671792,681867,692211,702914,713721,724535,735445,746261,757241,768168,779393,790528,801787,813249,825061,836761,849075,861484,873743,886219,898752,911254,924183,937246,950393,963527,977268,991244,1005252,1019391,1033777,1048176,1062959,1077576,1092555,1108089,1123616,1139202,1155131,1171186,1187621,1204150
1,1,1,2,2,2,3,4,5,5,5,5,6,9,9,9,11,14,14,16,18,23,23,24,25,28,29,36,37,40,42,44,46,54,55,58,62,70,73,77,82,89,92,96,101,107,110,113,117,122,130,133,138,141,150,153,155,157,160,164,170,175,179,182,187,190,195,198,201,207,215,219,225,228,236,247,264,279,289,302,317,341,359,382,412,450,490,515,544,590,639,674,717,759,797,844,891,932,993,1061,1107,1171,1242,1317,1376,1445,1521,1591,1687,1777,1880,1965,2054,2154,2253,2375,2514,2632,2757,2883,3029,3164,3281,3393,3512,3635,3775,3892,4028,4170,4292,4418,4528,4661,4790,4908,5042,5159,5273,5401,5521,5657,5769,5915,6043,6196,6355,6476,6676,6874,7044,7221,7391,7564,7783,7996,8203,8403,8620,8810,9045,9271,9485,9717,9969,10205,10484,10746,11016,11290,11584,11900,12198,12503,12834,13127,13462,13779,14108,14472,14891,15324,15726,16143,16586,16996,17462,17950,18453,18948,19432,19926,20438,20974,21506,22090,22686,23300,23860,24543,25217,25932,26613,27355,28113,28905,29667,30469,31267,32117,32928,33768,34669,35553,36412,37275,38159,39015,39894,40744,41617,42561,43513,44436,45359,46340,47331,48270,49230,50286,51294,52346,53438,54550,55620,56764,58003,59136,60365,61655,62852,64091,65351,66737,68109,69371,70790,72200,73658,75103,76527,78004,79560,81149,82774,84355,86083,87892,89801,91684,93601,95576,97661,99678,101828,103942,106148,108394,110647,112906,115091,117410,119834,122285,124697,127117,129739,132375,134948,137659,140379,143121,145906,148748,151538,154444,157496,160466,163387,166342,169309,172380,175502,178671,181844,185119,188414,191766,195147,198634,202151,205705,209349,213077,216984,220960,225104,229332,233613,237979,242485,247051,251716,256516,261332,266118,271166,276231,281369,286582,291916,297294,302776,308458,314262,320195,326226,332405,338626,344912,351359,357976,364687,371467,378420,385385,392409,399503,406875,414362,421903,429406,437201,445026,453005,461078,469326,477543,485997,494582,503205,512013,520831,529826,538719,547746,557044,566394,576241,586249,596132,605962,616131,626428,636692,647152,657998,668995,680047,691211,702465,713772,725381,737272,749216,761105,773029,785349,797925,810204,822950,835771,848844,862036,875132,888556,902024,915761,929538,943513,957524,971690,986057,1000367,1014670,1029296,1044027,1058888,1073850,1088885,1104487,1120007,1135543,1150964,1166712,1182786,1198779,1214959,1231351,1247829,1264582,1281657,1298577,1315682,1332859,1350418,1367741,1385385,1403251,1421357,1439487,1457903,1476189,1494960,1513396,1532355,1551361,1570349,1589356,1608901,1628311,1647929,1667422,1687568,1707632,1727938,1748221,1768664,1789357,1810017,1830759,1851553,1872455,1893662,1914692,1935950,1957322,1978799,2000292,2022051,2044193,2066203,2088368,2110858,2133158,2155834,2178286,2201010,2224117,2247327,2270491,2293847,2317327,2340863,2364798,2388569,2412607,2436716,2460977,2485293,2510087,2534757,2559619,2584862,2609888,2635172,2660648,2685784,2711697,2737516,2763453,2789703,2815697,2841876,2868285,2894524,2920940,2947409,2974061,3000930,3027823,3054737,3081866,3108836,3136029,3163314,3190645
1,1,2,3,3,4,4,6,11,17,17,21,22,24,31,33,35,35,37,42,47,55,61,66,70,75,79,85,89,95,99,112,115,120,123,130,136,138,144,149,155,159,165,171,174,177,182,186,191,195,203,209,219,225,230,236,239,244,253,256,260,276,281,290,305,317,329,341,359,377,393,409,429,453,471,494,511,529,545,576,602,635,658,680,703,725,750,778,798,820,849,865,896,921,950,970,993,1016,1034,1060,1079,1095,1118,1135,1159,1178,1203,1219,1235,1260,1276,1301,1318,1336,1353,1380,1401,1429,1457,1485,1508,1531,1560,1588,1615,1641,1662,1692,1721,1737,1761,1791,1820,1866,1899,1918,1956,1990,2021,2055,2089,2120,2156,2178,2230,2268,2314,2361,2417,2463,2543,2624,2697,2789,2900,3015,3140,3276,3409,3567,3688,3820,3965,4091,4230,4362,4494,4629,4765,4920,5047,5199,5353,5472,5603,5733,5861,5978,6090,6202,6334,6442,6564,6688,6806,6918,7035,7159,7276,7372,7503,7653,7789,7926,8109,8268,8416,8598,8810,9056,9332,9597,9874,10187,10464,10748,11038,11314,11574,11851,12123,12391,12655,12946,13280,13554,13878,14208,14522,14861,15193,15577,15965,16379,16793,17203,17626,18094,18543,18971,19398,19783,20232,20667,21113,21555,22021,22437,22911,23381,23831,24255,24704,25154,25596,26098,26572,27004,27521,28038,28587,29170,29783,30353,30946,31524,32101,32696,33317,33948,34599,35234,35859,36549,37216,37992,38688,39375,40133,40870,41631,42464,43251,44113,44928,45814,46678,47606,48579,49601,50645,51644,52674,53721,54772,55878,56948,58049,59216,60377,61607,62805,63981,65142,66331,67593,68916,70278,71712,73202,74784,76354,77906,79630,81347,83055,84849,86674,88552,90467,92426,94475,96594,98786,101040,103341,105571,107924,110410,112957,115432,118061,120824,123539,126229,129131,132054,135007,137986,141114,144296,147512,150773,154190,157657,161190,164795,168381,172082,175917,179720,183679,187698,191868,195971,200181,204550,208784,213196,217661,222192,226700,231273,236017,240904,245713,250761,255816,261004,266256,271442,276682,281985,287471,293036,298656,304401,310115,315897,321895,327762,333736,340029,346326,352786,359279,365753,372405,379086,385948,392903,399855,407026,414326,421867,429347,436979,444553,452130,460054,468060,476314,484759,493396,502137,510960,519795,528917,537998,547334,556811,566471,576327,586248,596162,606447,616989,627506,638309,649059,660206,671473,682875,694454,706313,718373,730612,742841,755700,768371,781046,793793,806874,819993,833259,846698,860515,874106,888136,902457,917004,931439,946228,961427,976851,992301,1007755,1023505,1039140,1055024,1071024,1087256,1103605,1120013,1136497,1153197,1169895,1186692,1203552,1220853,1237940,1255361,1272965,1290530,1308209,1326207,1344376,1362745,1381149,1399757,1418450,1436997,1455729,1474818,1493872,1512898,1532280,1551868,1571303,1590743,1610408,1630084,1649868,1669771,1689860,1709660,1729935,1750080,1770499,1791010,1811591,1832251,1853105,1874092,1895452,1916899,1938502,1959951,1981637,2003147,2025068,2047128,2069186,2091054,2113542,2135493,2157581
1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,6,7,9,9,11,11,13,14,15,16,19,20,23,26,31,37,38,42,46,48,52,55,59,59,63,68,75,78,82,89,91,96,100,102,103,106,113,119,129,134,141,148,153,159,164,172,179,184,192,198,213,217,225,234,241,248,258,267,276,285,297,306,321,334,344,357,362,375,386,399,413,426,439,453,467,489,497,510,519,538,550,571,586,597,612,622,641,653,664,681,695,706,719,728,739,752,767,786,804,825,845,866,884,907,927,967,998,1027,1066,1090,1147,1185,1234,1285,1346,1405,1467,1523,1564,1615,1660,1704,1746,1792,1834,1868,1902,1943,1977,2011,2035,2061,2082,2104,2129,2146,2173,2198,2218,2246,2268,2287,2308,2326,2357,2369,2385,2405,2421,2433,2450,2464,2489,2507,2525,2536,2559,2574,2592,2607,2628,2642,2656,2675,2691,2708,2718,2729,2743,2755,2770,2782,2796,2815,2830,2843,2856,2867,2885,2896,2915,2927,2945,2956,2967,2983,3001,3011,3020,3033,3042,3052,3069,3083,3103,3116,3128,3146,3159,3175,3190,3205,3219,3239,3252,3262,3278,3289,3298,3306,3319,3333,3345,3355,3369,3385,3394,3405,3411,3424,3435,3453,3470,3485,3502,3519,3532,3539,3551,3565,3577,3589,3604,3623,3632,3648,3669,3686,3697,3706,3727,3740,3757,3771,3787,3802,3818,3829,3848,3864,3886,3906,3923,3947,3963,3989,4012,4039,4069,4080,4095,4117,4156,4178,4202,4228,4250,4282,4309,4337,4373,4412,4444,4488,4528,4577,4632,4689,4753,4823,4899,5001,5109,5212,5341,5474,5602,5722,5862,5991,6134,6252,6407,6531,6673,6804,6948,7100,7241,7373,7529,7702,7878,8077,8272,8503,8751,8972,9244,9501,9802,10148,10454,10808,11148,11549,11908,12269,12643,13012,13378,13702,14039,14376,14725,15094,15390,15749,16107,16465,16823,17169,17517,17861,18230,18575,18932,19280,19632,20025,20396,20777,21137,21492,21832,22222,22572,22940,23311,23672,24031,24346,24709,25060,25426,25811,26169,26571,26993,27394,27810,28204,28622,29006,29443,29861,30350,30824,31345,31843,32336,32789,33329,33804,34320,34797,35232,35793,36335,36869,37380,37991,38542,39099,39658,40259,40841,41412,41988,42588,43205,43822,44491,45214,45951,46677,47477,48212,49032,49842,50709,51593,52521,53474,54342,55339,56252,57210,58240,59272,60351,61474,62586,63691,64876,66043,67230,68404,69668,70927,72207,73517,74810,76101,77538,78904,80289,81629,83011,84414,85818,87293,88741,90178,91647,93156,94711,96338,98007,99668,101461,103267,105117,106941,108799,110710,112644,114667,116734,118918,121101,123324,125635,127990,130431,132940,135404,138024,140573,143238,146010,148931,151720,154638,157574,160633,163697,166686,169846,173041,176346,179627,182952,186398,189879,193343,196945,200621,204399
1,1,1,1,1,1,1,2,2,2,2,2,3,6,6,6,8,8,9,9,9,9,9,9,9,9,9,9,11,12,15,15,16,16,17,21,21,23,27,30,31,33,38,42,44,50,55,61,69,73,78,80,86,90,93,97,99,105,114,123,130,135,140,146,152,158,165,168,170,179,184,191,200,210,219,226,234,240,253,262,271,283,298,317,338,349,372,393,414,428,445,468,490,513,538,560,589,617,651,688,722,755,791,849,885,937,996,1056,1105,1170,1230,1290,1352,1420,1490,1566,1635,1720,1804,1887,1957,2030,2102,2175,2260,2358,2425,2499,2581,2665,2758,2828,2921,3023,3111,3198,3287,3368,3483,3601,3702,3819,3938,4072,4205,4327,4477,4622,4784,4945,5130,5289,5433,5621,5802,5965,6132,6304,6485,6654,6846,7032,7230,7426,7611,7840,8046,8240,8466,8677,8884,9089,9293,9480,9696,9937,10134,10354,10550,10782,11010,11232,11452,11696,11907,12106,12317,12539,12777,12985,13194,13419,13656,13889,14130,14348,14588,14829,15077,15314,15571,15825,16072,16333,16608,16884,17181,17481,17771,18050,18307,18595,18879,19172,19499,19847,20179,20509,20857,21214,21579,21941,22332,22737,23143,23597,24026,24439,24851,25292,25726,26143,26589,27037,27517,28026,28564,29095,29637,30133,30696,31269,31848,32418,32943,33542,34120,34738,35341,36000,36633,37313,37967,38654,39413,40136,40860,41619,42345,43100,43864,44710,45522,46403,47209,48088,48929,49842,50731,51644,52537,53454,54445,55402,56393,57393,58347,59370,60409,61424,62549,63581,64701,65831,67004,68122,69329,70512,71716,72993,74269,75526,76884,78306,79722,81080,82566,84074,85590,87123,88646,90253,91934,93607,95419,97170,98912,100753,102684,104623,106545,108566,110612,112633,114706,116817,118952,121147,123373,125711,128011,130403,132755,135217,137729,140243,142724,145267,147802,150396,152943,155623,158321,160996,163675,166513,169370,172263,175186,178212,181319,184414,187761,191061,194390,197786,201142,204614,208245,211956,215611,219424,223303,227196,231157,235266,239426,243786,248033,252482,256871,261389,266116,271127,276043,281081,286357,291671,297179,302583,308177,314103,320042,325937,331995,338175,344426,350756,357152,363574,370148,376596,383230,390003,396818,403733,410601,417688,424761,431755,439004,446254,453712,461381,468975,476688,484618,492620,500801,509111,517536,526087,534585,543216,551965,560942,569817,579034,588318,597583,606842,616445,626155,636102,646145,656242,666313,676743,687163,697822,708602,719562,730599,741830,752924,764230,775695,787259,799062,810799,822923,835267,847669,860598,873430,886369,899537,912904,926300,939927,953779,968008,982297,996636,1011008,1025618,1040411,1055255,1070240,1085533,1100709,1116255,1131977,1147954,1163941,1179995,1196194,1212430,1228938,1245494,1262164,1278839,1296014,1313491,1330847,1348367,1366001,1383702,1402020,1420210,1438653,1457005,1475760,1494583,1513368,1532431,1551459,1570795,1589839,1609214,1628644,1648093,1667777,1687596,1707460,1727636,1747684,1767891,1788116,1808619,1829489,1850273,1871299,1892219,1913199,1934265,1955428
1,1,2,3,4,4,4,6,7,8,9,9,11,14,17,21,23,26,30,32,33,35,40,44,49,52,52,54,57,64,65,73,74,78,83,87,93,96,98,99,102,106,109,111,114,117,121,123,128,133,136,139,141,143,146,151,153,155,158,165,170,175,175,179,180,187,196,205,207,210,215,218,225,227,233,236,240,244,252,255,261,267,272,278,283,287,299,304,308,314,320,330,334,340,357,367,378,388,397,409,424,431,440,450,463,477,483,492,504,513,523,534,544,552,559,567,575,579,585,594,600,607,613,624,632,638,647,653,663,672,682,692,704,713,721,732,742,753,765,778,794,814,835,854,880,902,924,946,967,990,1011,1037,1070,1102,1132,1157,1185,1209,1230,1252,1286,1313,1349,1376,1406,1434,1463,1501,1524,1562,1595,1621,1661,1693,1737,1781,1826,1857,1899,1951,2017,2067,2127,2170,2224,2273,2337,2419,2500,2561,2635,2721,2794,2868,2953,3051,3140,3229,3320,3401,3497,3605,3694,3799,3892,4010,4124,4219,4327,4456,4573,4667,4803,4936,5072,5205,5374,5520,5661,5824,5974,6131,6282,6432,6599,6761,6964,7134,7305,7468,7661,7828,8031,8226,8415,8607,8802,8996,9222,9456,9684,9923,10177,10408,10718,11031,11363,11663,11982,12300,12608,12925,13248,13575,13903,14305,14697,15051,15415,15813,16191,16537,16915,17332,17769,18290,18754,19243,19737,20307,20797,21311,21792,22327,22874,23405,23956,24480,25012,25529,26068,26582,27083,27629,28146,28682,29205,29693,30176,30731,31258,31774,32311,32862,33420,33975,34531,35125,35657,36277,36876,37538,38160,38772,39442,40099,40821,41529,42241,43003,43749,44519,45274,46082,46900,47749,48612,49514,50403,51279,52135,53072,54004,54989,55905,56863,57899,58921,59933,60940,62022,63092,64196,65344,66451,67733,68925,70181,71466,72747,74128,75579,77060,78536,79989,81434,82887,84378,85876,87383,88841,90318,91930,93593,95193,96739,98371,100079,101788,103436,105205,107004,108896,110737,112622,114619,116610,118637,120648,122795,125054,127290,129604,131984,134424,136911,139394,142025,144678,147353,150167,152932,155793,158609,161503,164413,167368,170355,173442,176563,179692,182862,186121,189347,192630,195987,199282,202689,206090,209615,213181,216817,220501,224362,228111,231948,235961,239742,243770,247843,252000,256263,260397,264714,269161,273546,278035,282622,287486,292420,297432,302495,307559,312724,317997,323561,329104,334780,340395,346239,352164,358305,364690,371110,377578,384258,391196,398414,405581,412754,419922,427514,435225,443152,451245,459507,467758,476307,484846,493704,502722,511902,521071,530351,539955,549795,559581,569560,579492,589602,599951,610299,621014,631818,642676,653902,665053,676661,688025,699891,711715,723815,736108,748411,760996,773851,786546,799281,812353,825586,838916,852400,866012,879608,893281,907363,921398,935750,950217,964624,979209,993700,1008399,1023250,1038179,1053096,1068349
1,1,4,4,4,4,4,4,5,6,7,7,7,7,7,7,8,9,9,10,14,14,18,18,19,19,19,19,19,19,19,20,21,25,28,30,34,35,37,37,37,40,45,46,50,52,55,59,60,66,68,68,70,72,73,81,84,89,95,98,103,107,112,117,121,126,130,135,138,143,151,156,163,167,177,182,188,193,199,202,211,221,231,237,238,245,246,254,261,274,277,282,285,287,295,301,309,318,326,333,339,346,357,363,371,373,375,384,394,402,410,420,435,439,448,460,470,478,485,491,500,511,521,528,537,545,556,565,577,592,604,612,625,635,644,658,681,698,713,733,753,774,794,819,835,851,869,894,924,953,966,991,1017,1050,1074,1108,1144,1176,1208,1238,1272,1302,1337,1366,1401,1431,1469,1506,1559,1594,1638,1680,1732,1777,1824,1887,1921,1965,2011,2068,2134,2212,2280,2348,2405,2477,2543,2613,2682,2769,2862,2929,2990,3065,3142,3244,3339,3433,3541,3622,3714,3801,3906,3999,4088,4193,4293,4389,4495,4594,4692,4791,4899,5000,5098,5197,5296,5403,5513,5630,5739,5828,5942,6043,6137,6238,6334,6429,6553,6679,6803,6937,7049,7185,7312,7457,7582,7720,7868,8011,8143,8307,8455,8624,8788,8952,9111,9303,9534,9752,9938,10152,10367,10572,10799,11028,11272,11505,11782,12065,12379,12676,12983,13309,13614,13942,14265,14633,14997,15370,15762,16185,16610,17030,17430,17845,18274,18754,19212,19677,20172,20705,21269,21848,22484,23125,23741,24406,25083,25787,26471,27134,27837,28634,29392,30121,30884,31659,32470,33336,34184,35033,35921,36827,37785,38729,39712,40696,41701,42765,43830,44919,46030,47152,48324,49403,50515,51636,52905,54150,55341,56647,57896,59210,60516,61954,63371,64732,66115,67568,69040,70491,72020,73522,75077,76670,78267,79928,81492,83156,84877,86636,88417,90161,91929,93783,95588,97478,99269,101259,103119,105156,107156,109182,111206,113232,115270,117456,119640,121941,124133,126423,128829,131231,133611,135999,138466,141074,143643,146262,149051,151815,154540,157349,160275,163135,166084,169124,172086,175195,178336,181633,184869,188233,191656,195120,198563,201913,205490,208952,212494,216091,219622,223108,226782,230500,234267,238156,242010,246069,250219,254354,258537,262759,266965,271379,276036,280711,285396,290227,295131,300105,305207,310326,315524,320835,326228,331890,337470,343128,348849,354567,360524,366548,372689,378996,385335,391828,398483,405282,412087,419040,425924,432916,440000,447462,454654,461975,469427,477016,484704,492426,500175,508119,516013,524139,532395,540441,548994,557518,566064,575023,583780,592711,601943,611133,620401,629876,639511,649399,659269,669166,679412,689940,700155,710687,721325,732167,743055,754022,765204,776872,788324,799869,811627,823452,835652,847944,860276,872794,885312,898207,911347,924198,937636,951150,964752,978610,992697,1006857,1021139,1035526,1050399,1065062,1080232,1095534,1111064
1,1,1,1,1,1,1,2,2,3,5,6,7,9,12,16,19,20,21,25,26,29,30,30,32,34,35,39,40,42,44,48,53,56,58,61,66,71,79,81,85,94,95,103,106,114,119,129,136,143,150,158,162,173,183,192,202,214,219,237,242,257,272,285,297,307,321,336,353,359,376,387,406,428,440,461,476,495,517,532,551,567,593,615,648,680,708,725,751,779,815,846,874,903,939,964,1000,1041,1088,1116,1169,1207,1247,1299,1341,1413,1467,1515,1555,1614,1661,1733,1811,1913,2014,2134,2241,2356,2486,2627,2758,2905,3024,3164,3280,3407,3528,3658,3792,3915,4046,4170,4281,4400,4527,4644,4756,4877,5001,5119,5244,5378,5517,5650,5795,5930,6043,6179,6308,6464,6618,6774,6924,7081,7208,7366,7517,7670,7816,7979,8129,8279,8437,8588,8778,8950,9125,9308,9483,9684,9861,10062,10251,10469,10686,10886,11094,11330,11539,11769,12004,12216,12448,12644,12889,13149,13395,13646,13887,14154,14395,14694,14992,15297,15582,15870,16174,16482,16814,17114,17473,17806,18121,18447,18756,19099,19435,19747,20059,20405,20745,21097,21436,21805,22170,22566,22922,23312,23685,24096,24546,24961,25409,25858,26351,26863,27356,27905,28480,29055,29608,30208,30838,31381,31976,32581,33193,33808,34417,35059,35680,36328,36982,37638,38312,38950,39590,40258,40894,41549,42223,42890,43544,44261,44910,45615,46368,47110,47887,48656,49419,50207,51002,51800,52622,53494,54336,55195,56081,57026,57949,58901,59863,60912,62025,63040,64102,65155,66221,67311,68392,69488,70637,71752,72951,74137,75294,76547,77731,78974,80184,81433,82696,83969,85277,86517,87778,89092,90437,91761,93127,94520,96008,97419,98937,100402,101912,103420,104961,106547,108176,109869,111719,113538,115412,117316,119216,121307,123381,125434,127556,129763,132035,134286,136572,139034,141552,144130,146767,149490,152169,155005,157821,160689,163740,166813,169874,173121,176430,179824,183274,186793,190273,193952,197741,201453,205186,208917,212710,216595,220518,224548,228558,232645,236891,241102,245453,249850,254336,258855,263514,268232,273013,277875,282775,287714,292720,297573,302710,307807,312874,318068,323100,328269,333456,338725,344153,349436,354869,360354,365816,371421,377263,383085,388983,395035,401106,407133,413388,419674,426016,432556,439062,445695,452416,459215,465922,472992,480078,487356,494744,502298,510002,517497,525370,533521,541721,549859,558023,566420,574728,583340,591918,600639,609393,618412,627425,636660,645790,655174,664454,674054,683781,693684,703595,713607,723669,734060,744460,755124,765687,776323,787016,798031,809093,820181,831314,842470,853924,865570,877347,889240,901268,913279,925437,937778,950133,962404,974846,987593,1000193,1013202,1026319,1039593,1052976,1066463,1080369,1094078,1108121,1122517,1136884,1151715,1166350,1181521,1196856,1212080,1227412,1242843,1258429,1274284,1290371,1306465,1322593,1338864,1355152,1371706,1388247,1404709,1421557,1438560,1455677,1472885,1490308,1507861,1525212,1543103,1561124,1579234,1597591,1616431,1635385,1654464,1673891,1693183,1712859,1732468,1752191
1,1,1,1,1,2,4,6,6,7,8,8,8,8,8,8,11,11,11,13,14,14,16,17,17,17,17,17,18,19,22,24,25,28,30,34,36,40,42,43,45,51,55,64,67,70,72,80,81,84,87,94,95,99,108,113,114,121,125,131,135,139,143,145,148,150,155,159,160,167,171,171,176,178,182,184,188,191,197,201,206,213,216,221,223,227,231,235,238,242,246,250,253,258,268,272,282,289,294,304,309,315,321,331,334,341,352,362,369,376,386,398,407,416,430,440,451,468,486,499,516,542,562,578,592,612,621,636,659,685,709,731,757,780,801,819,847,878,901,929,964,996,1024,1051,1077,1103,1133,1159,1194,1218,1249,1274,1312,1355,1395,1418,1481,1517,1571,1612,1660,1706,1743,1807,1869,1909,1959,2026,2071,2135,2212,2280,2347,2446,2535,2608,2689,2774,2869,2955,3053,3161,3268,3384,3503,3609,3738,3852,3975,4121,4259,4401,4543,4694,4856,5032,5209,5388,5560,5727,5888,6059,6251,6460,6641,6840,7028,7212,7418,7642,7875,8091,8326,8588,8855,9119,9420,9736,10049,10391,10693,11011,11327,11670,11996,12332,12619,12981,13318,13664,14015,14309,14626,14982,15324,15638,15978,16345,16699,17078,17466,17860,18233,18593,18958,19359,19757,20163,20543,20910,21302,21679,22051,22453,22864,23215,23614,24015,24430,24836,25233,25653,26051,26482,26920,27362,27793,28233,28700,29173,29642,30110,30607,31169,31707,32212,32791,33378,33996,34570,35171,35755,36342,36971,37553,38198,38851,39485,40112,40784,41480,42174,42954,43688,44460,45271,46080,46826,47619,48416,49206,49998,50874,51688,52539,53413,54291,55224,56151,57089,58052,58996,60000,60987,62029,63022,64104,65199,66295,67327,68435,69592,70799,72014,73262,74488,75849,77191,78495,79864,81204,82661,84159,85709,87307,88814,90376,92092,93772,95477,97260,99102,101030,102908,104995,107011,108963,111008,113117,115393,117727,120119,122489,124890,127314,129772,132222,134738,137289,139974,142591,145283,148052,150809,153635,156417,159343,162382,165397,168491,171623,174840,178169,181593,184995,188657,192284,196093,199850,203715,207650,211652,215654,219801,224069,228350,232750,237139,241480,246040,250620,255346,259924,264719,269755,274837,279993,285107,290402,295854,301497,307149,312969,318793,324715,330763,336922,343216,349696,356181,362701,369226,375903,382624,389473,396483,403754,410916,418184,425634,433182,440865,448535,456486,464582,472722,481034,489336,497963,506647,515475,524379,533437,542770,552009,561469,571176,580747,590579,600524,610479,620779,631153,641612,652286,663156,673992,684943,695947,707249,718570,730169,742033,753581,765581,777707,789900,802412,814962,827755,840721,853869,866987,880506,894111,907855,921635,935589,949757,963835,978116,992963,1007516,1022216,1037134,1052262,1067255,1082581,1098155,1113722,1129268,1145244,1161306,1177664,1194252,1211009,1227841,1244697,1261898,1278983,1296433,1313953,1331565,1349396,1367178,1385103,1403104
1,1,2,3,4,5,7,8,10,11,15,15,17,18,24,29,34,40,41,41,47,50,55,59,65,70,77,81,84,91,98,103,107,111,116,121,128,136,140,151,155,160,166,171,176,183,191,197,206,216,226,238,251,257,263,276,286,300,316,327,335,350,372,388,400,409,424,435,457,466,477,480,492,506,526,545,565,582,597,608,623,634,656,673,697,712,730,753,772,789,811,839,866,895,920,944,969,1010,1041,1066,1096,1124,1160,1194,1224,1258,1294,1331,1367,1407,1447,1498,1555,1618,1674,1711,1765,1815,1867,1930,1991,2043,2098,2143,2205,2270,2348,2434,2527,2611,2748,2850,2982,3111,3264,3446,3636,3824,4019,4224,4443,4659,4858,5057,5269,5457,5635,5852,6069,6281,6453,6632,6805,6993,7162,7338,7522,7688,7839,8004,8197,8359,8532,8680,8855,9023,9188,9353,9526,9696,9858,10032,10211,10394,10591,10804,10999,11206,11414,11622,11821,12044,12245,12442,12654,12857,13071,13288,13516,13734,13952,14160,14382,14620,14848,15051,15312,15502,15737,15968,16206,16428,16665,16932,17177,17417,17684,17927,18170,18462,18749,19034,19297,19619,19922,20204,20522,20816,21124,21449,21781,22118,22455,22814,23181,23537,23897,24295,24677,25111,25574,26020,26452,26896,27354,27810,28279,28762,29265,29807,30385,30941,31504,32066,32692,33321,33898,34556,35203,35805,36478,37136,37843,38574,39273,40059,40818,41554,42305,43064,43865,44698,45495,46365,47226,48137,48964,49835,50752,51675,52573,53491,54449,55364,56400,57371,58398,59479,60572,61645,62803,63957,65091,66296,67397,68662,69881,71202,72488,73873,75217,76608,78077,79510,81012,82594,84226,85824,87466,89181,90870,92633,94433,96222,98060,99994,101847,103865,105789,107707,109764,111773,113863,116003,118161,120419,122652,125078,127349,129791,132220,134653,137122,139702,142352,145051,147874,150709,153601,156538,159511,162483,165628,168796,172100,175459,178965,182431,186031,189567,193353,197108,201105,205140,209280,213316,217487,221689,226019,230396,234751,239284,244051,248747,253563,258503,263378,268556,273794,279100,284532,290012,295719,301607,307632,313612,319740,326067,332492,338778,345198,351610,358261,364788,371507,378214,385289,392196,399344,406578,413845,421256,428642,436162,443884,451603,459617,467786,475870,484169,492690,501157,509922,518691,527564,536400,545470,554628,563863,573257,582669,592138,602047,612125,622004,632120,642331,652501,663154,673640,684609,695392,706313,717376,728551,739759,751122,762705,774376,786173,798046,809827,822019,834057,846141,858639,871100,883717,896522,909207,922326,935551,948821,962134,975393,989274,1003293,1017313,1031528,1045691,1060213,1074891,1089670,1104689,1119681,1134911,1150153,1165497,1180903,1196536,1212336,1228220,1244177,1260367,1276532,1292840,1309309,1325674,1342430,1359189,1376123,1393497,1410728,1427872,1445178,1462747,1480163,1498164,1516273,1534666,1553168,1571826,1590558,1609530,1628507,1647720,1666759,1685892,1705359,1724822,1744368,1763850,1783600,1803365,1823524,1843548,1863500,1883724,1904300,1924786,1945581,1966360,1987220,2008293,2029488,2050847,2072440
1,1,1,1,1,1,1,1,1,3,4,4,6,7,7,7,7,7,7,8,8,9,11,13,14,14,15,16,17,20,21,22,23,25,28,28,33,36,40,42,46,48,48,49,55,60,61,62,65,70,72,80,82,85,89,97,97,103,106,111,114,118,124,128,131,134,138,140,147,150,155,158,162,164,169,175,179,181,184,187,189,194,197,201,206,212,214,214,216,222,228,231,236,238,244,251,255,259,264,271,272,279,285,288,293,298,305,310,316,316,321,328,340,341,347,352,359,366,373,376,389,397,414,418,423,430,437,448,454,460,465,470,473,479,485,491,501,511,516,521,527,534,543,551,555,568,573,580,592,598,616,629,645,662,676,684,698,708,724,740,756,770,790,814,833,846,856,876,894,905,921,949,970,992,1017,1044,1071,1096,1125,1165,1200,1228,1267,1303,1330,1365,1391,1421,1471,1516,1557,1589,1618,1646,1677,1708,1757,1791,1829,1872,1905,1937,1996,2035,2078,2118,2157,2204,2276,2329,2386,2449,2508,2569,2629,2683,2748,2814,2874,2943,3003,3073,3132,3205,3271,3334,3408,3475,3542,3610,3671,3749,3816,3884,3966,4041,4124,4188,4250,4322,4380,4477,4536,4611,4671,4768,4867,4945,5038,5128,5217,5316,5404,5501,5611,5720,5810,5905,6008,6100,6207,6325,6416,6539,6654,6773,6893,7020,7149,7274,7411,7533,7658,7805,7959,8080,8230,8384,8538,8728,8924,9115,9325,9517,9744,9985,10252,10529,10819,11107,11394,11673,11945,12245,12591,12926,13222,13544,13865,14185,14505,14854,15207,15579,15934,16241,16592,16963,17298,17649,18002,18399,18790,19184,19566,20019,20438,20887,21326,21817,22254,22720,23193,23602,24066,24545,25026,25503,26024,26493,27044,27566,28075,28582,29123,29623,30172,30699,31222,31732,32275,32816,33396,33932,34481,35102,35751,36376,37002,37698,38397,39130,39799,40571,41359,42159,42984,43900,44772,45738,46679,47666,48629,49668,50723,51771,52865,53960,55074,56243,57392,58586,59718,60891,62087,63311,64569,65786,67066,68373,69647,70946,72386,73859,75249,76729,78247,79782,81372,82969,84602,86263,87958,89652,91414,93228,95041,96915,98841,100779,102781,104773,106801,109021,111185,113298,115491,117709,119837,122172,124542,126954,129425,131892,134320,136878,139348,141916,144555,147199,149833,152568,155417,158317,161273,164267,167181,170214,173408,176568,179873,183183,186575,189978,193371,196837,200295,203876,207397,211068,214823,218601,222334,226296,230172,234139,238250,242201,246314,250389,254650,258950,263366,267639,272097,276560,281141,285871,290663,295525,300470,305539,310725,316134,321489,327249,332851,338575,344444,350380,356357,362478,368609,374800,380983,387400,393864,400302,406990,413699,420625,427460,434522,441595,448704,455962,463252,470592,478043,485807,493583,501449,509332,517395,525398,533477,541767
1,1,1,1,1,1,3,4,5,5,7,8,8,10,11,12,15,16,17,20,22,23,23,24,24,27,30,35,40,43,45,46,48,50,51,53,58,58,59,61,62,63,66,69,72,72,74,77,81,88,95,100,104,109,115,117,119,124,129,134,142,150,158,170,179,185,194,203,214,224,235,242,254,265,280,297,308,322,339,349,371,386,406,424,438,450,473,495,512,534,554,572,605,641,681,723,758,797,831,867,918,966,1000,1034,1072,1100,1150,1182,1223,1266,1311,1336,1379,1412,1435,1468,1509,1546,1579,1612,1639,1676,1713,1752,1789,1826,1889,1932,1982,2026,2085,2133,2201,2262,2319,2403,2485,2573,2660,2756,2841,2937,3025,3141,3255,3351,3456,3565,3677,3816,3928,4033,4161,4287,4410,4534,4675,4806,4964,5131,5278,5432,5595,5751,5933,6138,6330,6510,6707,6904,7101,7298,7506,7713,7950,8154,8347,8568,8817,9076,9289,9539,9803,10026,10271,10502,10748,11009,11252,11493,11707,11953,12207,12445,12690,12956,13219,13535,13844,14120,14422,14739,15092,15397,15749,16071,16420,16771,17133,17517,17935,18349,18792,19218,19665,20077,20568,21048,21522,22006,22543,23042,23567,24122,24642,25174,25780,26349,26949,27533,28158,28764,29385,30050,30720,31397,32095,32833,33593,34321,35096,35916,36732,37532,38355,39228,40101,41021,41944,42899,43939,44976,46007,47069,48162,49268,50384,51514,52597,53898,55212,56541,57883,59187,60548,61995,63472,64943,66564,68174,69813,71511,73215,75018,76816,78644,80500,82376,84357,86367,88386,90540,92614,94793,97000,99266,101572,103935,106308,108767,111162,113666,116285,118836,121491,124308,127008,129792,132633,135568,138561,141724,144736,147788,150880,154187,157556,160948,164358,167930,171558,175315,179078,182870,186815,190871,194990,199094,203287,207451,211618,215790,220060,224408,228770,233179,237701,242313,247030,251620,256296,261274,266051,271067,276102,281343,286619,291982,297441,302867,308367,313985,319711,325517,331342,337275,343327,349314,355516,361847,368063,374524,380968,387614,394058,400653,407399,414401,421367,428554,435618,442844,450335,457516,464893,472376,480006,487761,495550,503327,511396,519422,527577,535924,544208,552559,561030,569628,578357,587092,595903,605053,614338,623621,632845,642367,651824,661791,671734,681965,692299,702627,713112,723914,734924,745891,757339,768993,780720,792763,804699,817041,829424,842029,854850,867801,880967,894253,907638,921071,934822,948849,962759,976840,991197,1005685,1020181,1034995,1049745,1064594,1079880,1095195,1110815,1126594,1142484,1158296,1174378,1190526,1206915,1223439,1240320,1257306,1274466,1292070,1309404,1327166,1345119,1363082,1381227,1399461,1417928,1436906,1455569,1474552,1493539,1512897,1532349,1552104,1571942,1591756,1611687,1631809,1652160,1672478,1693236,1713969,1734891,1755754,1776778,1797950,1819273,1840874,1862290,1883770,1905494,1927403,1949453,1971316,1993515,2016281,2038661,2061177,2083627,2106613,2129653,2152631,2175930,2199332,2222511,2245762,2269489,2293142,2316747,2340654,2364782,2389065,2413113,2437424,2461724,2485993,2510363,2534930,2559714,2584657,2609785,2634813,2659818
1,1,1,1,1,2,4,6,8,9,11,12,14,16,19,21,24,25,28,28,29,30,30,30,32,34,34,36,37,43,49,54,57,62,71,74,75,79,81,84,93,101,108,114,120,126,134,139,145,154,162,166,172,175,178,187,191,200,205,211,214,223,232,238,239,246,252,260,264,267,271,280,290,299,307,314,317,321,328,334,339,343,346,360,367,374,383,392,393,397,398,404,411,415,417,419,422,432,438,445,452,456,467,469,483,492,497,499,509,519,530,536,541,544,552,557,565,578,590,602,614,624,637,654,666,678,684,699,710,726,736,757,774,784,798,809,819,839,854,871,887,895,912,924,943,965,979,1003,1022,1046,1069,1097,1114,1127,1155,1169,1201,1217,1235,1265,1289,1308,1326,1349,1367,1392,1414,1434,1456,1478,1492,1518,1538,1556,1592,1619,1638,1655,1676,1698,1729,1750,1781,1821,1848,1876,1900,1921,1946,1977,2008,2047,2077,2103,2128,2160,2189,2232,2268,2293,2331,2368,2403,2440,2475,2502,2528,2557,2594,2633,2676,2717,2757,2787,2818,2857,2905,2949,2982,3026,3069,3128,3175,3225,3263,3317,3372,3411,3448,3507,3572,3642,3709,3776,3840,3901,3978,4061,4130,4215,4289,4370,4455,4550,4639,4732,4824,4913,4991,5072,5168,5265,5369,5472,5564,5648,5720,5815,5908,6014,6108,6199,6288,6405,6525,6666,6788,6914,7037,7171,7306,7443,7576,7710,7876,8066,8211,8365,8523,8744,8962,9170,9390,9626,9850,10086,10298,10520,10765,10986,11199,11431,11663,11888,12125,12365,12580,12828,13063,13286,13525,13766,14017,14255,14509,14764,15031,15305,15571,15852,16128,16409,16706,17012,17303,17619,17912,18238,18547,18855,19170,19495,19792,20130,20456,20764,21067,21407,21710,22033,22359,22732,23088,23457,23838,24241,24675,25063,25488,25896,26306,26711,27175,27639,28112,28563,29021,29500,30024,30521,31035,31564,32084,32610,33151,33705,34247,34774,35337,35938,36550,37221,37840,38452,39109,39747,40393,41054,41690,42367,43049,43817,44532,45254,45964,46720,47484,48234,49012,49811,50620,51445,52291,53148,54039,54942,55838,56771,57728,58719,59689,60725,61685,62689,63669,64668,65741,66850,67955,69103,70283,71418,72617,73877,75192,76448,77837,79222,80587,81964,83424,84851,86293,87851,89311,90866,92401,94073,95766,97483,99253,101033,102836,104697,106505,108393,110266,112222,114175,116144,118139,120244,122274,124379,126536,128751,130866,133196,135610,137970,140407,142953,145556,148253,150812,153470,156199,159068,161850,164609,167513,170507,173535,176648,179820,183015,186278,189671,193107,196608,200210,203770,207614,211435,215334,219310,223331,227457,231717,236045,240366,244738,249182,253763,258390,263207,268039,272885,277852,282931,288077,293203,298488,303932,309544,315023,320584,326060,331668,337426,343190,349035,354892,360807,366862,372908,379029
1,1,1,1,2,3,3,3,3,4,5,6,6,7,10,12,13,16,23,24,30,33,40,47,52,59,69,74,80,87,92,110,116,130,138,156,163,177,189,206,224,241,260,273,288,303,322,341,353,370,388,407,423,437,449,467,490,508,525,547,570,587,605,615,634,652,666,698,709,729,751,781,802,831,855,880,907,939,975,1014,1043,1077,1113,1163,1195,1243,1293,1337,1381,1426,1466,1499,1538,1588,1640,1683,1726,1777,1832,1879,1935,1978,2045,2100,2162,2228,2288,2364,2436,2499,2576,2642,2712,2771,2848,2914,2988,3058,3151,3253,3341,3432,3501,3592,3700,3788,3874,3958,4047,4134,4237,4331,4415,4504,4589,4662,4756,4869,4970,5070,5178,5289,5416,5516,5637,5750,5853,5963,6077,6203,6319,6431,6550,6681,6807,6942,7075,7190,7315,7444,7550,7663,7785,7905,8060,8188,8323,8444,8576,8707,8859,8990,9135,9283,9428,9604,9771,9958,10125,10301,10489,10678,10875,11078,11270,11498,11721,11957,12194,12423,12665,12889,13119,13369,13637,13919,14253,14525,14812,15111,15390,15699,16023,16353,16673,17008,17343,17696,18055,18437,18831,19241,19640,20064,20535,20968,21443,21947,22491,23029,23564,24143,24753,25352,25921,26572,27252,27948,28583,29260,29926,30634,31336,32051,32801,33602,34380,35221,35999,36771,37552,38347,39217,40041,40906,41741,42610,43446,44253,45125,45955,46785,47632,48498,49393,50300,51181,52059,53036,53953,54885,55862,56839,57829,58765,59751,60803,61903,62979,64047,65099,66176,67292,68461,69648,70914,72186,73409,74654,75952,77217,78575,79919,81278,82676,84126,85593,87092,88624,90091,91635,93165,94725,96319,97946,99643,101282,103040,104742,106523,108221,110096,111942,113818,115797,117737,119758,121771,123903,126117,128268,130576,132860,135175,137560,140008,142453,145014,147617,150166,152793,155527,158200,161013,163867,166783,169723,172810,175889,179049,182190,185379,188696,192016,195503,199108,202775,206399,210038,213838,217708,221585,225592,229653,233752,237974,242186,246495,250793,255244,259817,264477,269140,273998,278762,283749,288915,294015,299335,304645,310221,315698,321431,327243,333109,339011,345026,351125,357163,363246,369745,376309,382800,389444,396195,403065,409994,417183,424541,431947,439551,447022,454543,462376,470346,478673,486955,495292,503966,512620,521366,530459,539543,548665,558170,567766,577462,587336,597392,607636,618176,628754,639636,650676,661727,672922,684310,696116,708045,720054,731980,744325,756806,769535,782299,795143,808024,821409,834769,848142,861824,875634,889610,903687,917849,932241,946770,961280,975981,990864,1005825,1020853,1035882,1050853,1066139,1081568,1097236,1112787,1128813,1144738,1160945,1177316,1193559,1210385,1227236,1244234,1261580,1278861,1296378,1314331,1332210,1350211,1368519,1386572,1404833,1423660,1442510,1461566,1480595,1499826,1519063,1538514,1557893,1577838,1598008,1618282,1638768,1659153,1679642,1700303,1721296,1742197,1763442,1784610,1806151,1827883,1849869,1872148,1894294,1916855,1939171,1961814,1984619,2007545,2030375,2053658,2076772,2100172,2123697,2147000,2170532,2194338,2218068,2241738,2265722,2289701,2313800
1,1,1,2,4,6,8,9,11,15,16,21,26,29,32,37,41,50,60,71,78,90,96,103,113,122,132,147,161,172,180,189,208,226,240,255,273,290,310,333,347,360,377,393,409,430,446,466,491,514,530,558,581,606,627,643,672,697,734,763,814,856,891,930,963,1003,1046,1082,1122,1174,1205,1244,1274,1310,1351,1385,1425,1463,1508,1539,1580,1612,1658,1689,1715,1753,1793,1818,1845,1882,1925,1965,2009,2048,2080,2118,2161,2208,2258,2287,2325,2358,2401,2431,2471,2511,2531,2554,2581,2632,2655,2694,2727,2778,2827,2873,2930,2992,3042,3087,3162,3245,3311,3391,3480,3577,3661,3737,3817,3902,3988,4075,4167,4232,4304,4400,4470,4543,4629,4695,4771,4878,4950,5040,5140,5240,5343,5440,5547,5682,5818,5951,6072,6200,6334,6474,6603,6715,6855,6991,7115,7233,7360,7453,7562,7677,7795,7890,7973,8082,8181,8288,8376,8465,8565,8634,8730,8814,8906,8986,9096,9187,9262,9346,9419,9495,9572,9665,9765,9846,9945,10038,10128,10222,10314,10416,10519,10619,10732,10837,10963,11084,11207,11339,11446,11584,11710,11840,11958,12100,12260,12401,12547,12691,12828,12963,13104,13220,13363,13533,13705,13867,14038,14197,14360,14538,14722,14911,15109,15281,15476,15648,15863,16096,16321,16568,16795,17025,17220,17503,17770,18050,18341,18608,18915,19234,19533,19817,20097,20383,20663,20971,21274,21578,21867,22134,22436,22725,23036,23385,23737,24082,24417,24782,25132,25489,25852,26176,26556,26916,27291,27679,28075,28439,28799,29181,29580,29982,30360,30713,31084,31481,31892,32375,32795,33214,33661,34105,34573,35032,35490,35999,36519,37062,37589,38143,38727,39299,39865,40473,41069,41678,42332,42923,43550,44237,44907,45623,46355,47110,47900,48718,49461,50275,51102,52015,52789,53624,54486,55380,56261,57200,58127,59093,60050,60997,61969,62826,63750,64771,65750,66823,67839,68881,69940,71010,72127,73239,74397,75572,76790,78039,79331,80632,81852,83170,84449,85767,87072,88407,89733,91115,92504,93969,95423,96947,98424,99987,101535,103098,104688,106307,108009,109732,111493,113243,115054,116831,118692,120504,122483,124449,126414,128391,130473,132551,134693,136784,138990,141190,143405,145617,147867,150098,152470,154840,157390,159830,162360,164892,167497,170123,172807,175519,178463,181431,184472,187592,190793,194099,197345,200646,203955,207418,211010,214622,218341,222025,225910,229844,233744,237742,241801,246004,250276,254577,259043,263612,268199,272865,277538,282455,287367,292508,297656,302900,308412,313900,319501,325284,331178,337081,342911,348905,355147,361558,368049,374612,381346,388225,395180,402119,409245,416512,423719,431154,438862,446505,454389,462332,470505,478949,487373,495781,504326,512796,521713,530686,539877,549281,558698,568398,578204,587816,597835,607929,618285,628576,639108,649841,660716,671694,682955,694296,705877,717571,729610,741762,754079,766451,778991,791754,804825,818097,831433,844718,858451,872253,886418,900558,914936,929492,944279,959257,974376,989728,1005439
1,1,1,1,1,1,1,1,2,2,3,6,7,10,10,10,10,10,10,10,10,13,16,16,17,20,21,24,27,28,28,30,33,36,38,41,46,47,50,50,51,52,53,58,59,68,76,83,85,88,93,95,103,111,115,118,121,124,127,131,134,140,147,152,156,158,162,165,168,173,175,175,178,179,182,182,185,188,191,193,194,197,201,204,209,209,209,211,212,213,217,219,223,223,226,234,236,240,244,252,255,258,264,270,274,277,282,289,292,304,309,320,326,333,342,352,360,369,381,391,401,415,429,442,464,487,504,538,563,598,630,654,689,725,760,784,817,856,880,904,938,975,999,1022,1046,1073,1096,1123,1146,1173,1197,1219,1245,1263,1279,1295,1315,1330,1347,1371,1395,1414,1435,1457,1471,1487,1504,1515,1534,1544,1556,1568,1585,1598,1615,1633,1651,1666,1679,1697,1711,1726,1741,1758,1772,1788,1810,1841,1854,1870,1889,1910,1926,1945,1969,1992,2015,2035,2058,2083,2107,2127,2153,2180,2195,2221,2253,2281,2321,2347,2372,2395,2434,2465,2489,2520,2555,2588,2617,2648,2685,2725,2767,2816,2877,2926,2977,3027,3091,3163,3223,3295,3363,3439,3510,3572,3640,3730,3802,3883,3961,4054,4142,4228,4312,4393,4483,4588,4659,4752,4853,4971,5086,5201,5321,5428,5563,5688,5790,5917,6055,6201,6348,6486,6640,6776,6939,7070,7255,7409,7570,7753,7921,8099,8274,8452,8650,8865,9048,9260,9465,9670,9865,10070,10284,10512,10736,10968,11207,11418,11640,11884,12141,12391,12659,12923,13154,13397,13641,13881,14130,14362,14594,14851,15096,15356,15593,15836,16077,16327,16563,16811,17052,17288,17518,17791,18071,18334,18643,18923,19228,19507,19810,20134,20451,20772,21110,21436,21758,22080,22411,22736,23025,23380,23763,24126,24519,24882,25286,25680,26072,26501,26900,27353,27772,28219,28682,29168,29644,30129,30622,31134,31587,32215,32786,33421,33980,34582,35228,35859,36463,37098,37743,38434,39127,39814,40491,41245,41934,42670,43462,44244,44961,45750,46510,47344,48207,49064,49891,50732,51667,52647,53567,54549,55609,56677,57766,58856,59979,61100,62275,63464,64670,65938,67210,68539,69844,71249,72622,74093,75540,77074,78590,80247,81877,83456,85137,86882,88581,90332,92128,93969,95763,97672,99497,101462,103440,105459,107431,109537,111591,113770,115931,118124,120433,122673,125083,127591,130120,132567,135053,137735,140391,143128,145741,148574,151394,154265,157202,160299,163300,166410,169651,172899,176247,179615,183080,186601,190153,193932,197555,201272,205011,208747,212627,216597,220623,224824,228999,233190,237413,241653,246043,250450,254954,259555,264310,269195,274181,279290,284464,289531,294870,300390,305945,311739,317659,323651,329755,335952,342406,349013,355713,362309,369148,376209,383192,390284,397464,404879,412437,419991,427875,435703,443523,451590,459663
1,1,1,3,4,5,7,8,8,11,14,15,21,22,24,26,26,29,29,31,40,41,42,47,52,54,57,64,66,73,84,95,103,111,122,130,135,146,155,167,172,177,182,187,193,197,213,227,244,258,272,284,303,323,333,356,386,412,446,482,517,554,593,636,673,718,755,799,838,873,913,960,1011,1058,1120,1160,1210,1270,1322,1369,1419,1462,1522,1570,1623,1694,1744,1800,1855,1909,1962,2012,2058,2098,2138,2198,2250,2293,2346,2400,2458,2492,2532,2577,2614,2653,2694,2733,2773,2832,2872,2901,2950,3002,3043,3091,3127,3172,3209,3247,3305,3347,3395,3442,3493,3526,3583,3638,3694,3751,3805,3865,3916,3963,4032,4097,4154,4245,4311,4395,4456,4534,4618,4713,4821,4925,5012,5106,5204,5325,5438,5547,5654,5785,5882,5989,6120,6241,6370,6493,6631,6769,6911,7055,7208,7364,7535,7695,7886,8058,8218,8401,8574,8749,8944,9163,9392,9593,9794,9992,10224,10465,10664,10901,11134,11359,11614,11887,12161,12433,12715,12989,13271,13556,13886,14201,14489,14788,15116,15450,15786,16126,16459,16831,17206,17621,18004,18419,18817,19283,19771,20276,20756,21243,21732,22293,22865,23437,24061,24636,25272,25879,26502,27175,27872,28571,29200,29870,30537,31186,31832,32499,33225,33879,34662,35418,36194,37002,37821,38598,39414,40280,41167,42030,42924,43800,44749,45700,46690,47616,48536,49529,50559,51618,52633,53749,54869,55999,57105,58206,59417,60662,61909,63250,64621,66028,67389,68841,70276,71810,73355,74941,76514,78207,79854,81670,83464,85345,87237,89298,91381,93465,95587,97769,100044,102283,104636,107228,109801,112386,115035,117786,120569,123451,126331,129211,132324,135496,138829,142141,145395,148779,152207,155730,159301,162879,166389,170219,174009,177764,181628,185487,189401,193496,197753,202021,206412,210861,215177,219587,224197,229001,233696,238399,243315,248279,253492,258786,264079,269533,275180,280873,286635,292483,298385,304280,310366,316575,323050,329480,335973,342632,349513,356635,363678,370764,377985,385473,392921,400474,408232,416078,423877,432000,440323,448537,456969,465629,474603,483492,492484,501799,511127,520637,530351,540136,550191,560222,570445,580693,591125,601571,612316,622913,633431,644196,654972,665932,677043,688153,699429,710771,722310,734013,745977,758077,770194,782426,795005,807610,820330,833276,846394,859651,872883,886212,899752,913024,926644,940315,954250,968331,982510,996747,1011080,1025525,1040319,1055212,1070358,1085546,1100972,1116548,1132163,1147907,1163827,1179912,1196216,1212516,1228808,1245174,1261746,1278438,1295293,1312261,1329303,1346538,1363971,1381314,1398771,1416469,1434191,1452117,1470055,1488483,1506961,1525542,1544540,1563419,1582306,1601373,1620864,1640119,1659697,1679286,1699053,1718794,1738676,1758699,1778748,1799166,1819578,1839915,1860750,1881260,1902300,1923502,1944396,1965940,1987617,2009387,2030849,2052706,2074868,2097180,2119766,2142062,2164370,2187165,2209761,2232508,2255288,2278227,2301174,2324018,2346960,2370026,2393017,2416217,2439592,2462972,2486425,2509898,2533613,2557393,2581189,2604975,2628781,2652511,2676683,2701247,2725577,2750024,2774462,2798860,2823496,2848270,2872740
1,1,1,1,4,6,6,7,8,10,11,18,18,19,23,26,28,32,37,44,48,53,56,61,67,78,84,91,95,101,102,107,111,116,117,125,133,138,146,155,162,173,181,187,195,200,203,216,222,227,236,243,252,259,275,288,301,317,334,349,372,386,397,412,435,456,471,491,508,526,555,580,598,622,648,674,704,729,755,795,830,851,881,919,949,990,1031,1074,1102,1148,1188,1243,1286,1328,1369,1413,1472,1528,1586,1633,1697,1767,1820,1880,1957,2037,2103,2179,2253,2331,2398,2474,2563,2631,2702,2776,2866,2942,3028,3111,3205,3292,3378,3462,3557,3641,3729,3850,3955,4063,4181,4276,4375,4500,4614,4728,4837,4944,5109,5262,5410,5570,5716,5869,6032,6225,6385,6552,6723,6883,7064,7273,7446,7660,7881,8083,8256,8475,8689,8915,9113,9355,9590,9854,10084,10339,10589,10836,11105,11376,11639,11934,12190,12482,12781,13114,13468,13812,14148,14461,14836,15208,15574,15945,16331,16708,17066,17421,17780,18155,18545,18944,19369,19745,20146,20526,20919,21331,21725,22117,22598,23100,23578,24007,24447,24933,25434,25947,26475,27004,27519,28065,28621,29159,29722,30278,30826,31427,32009,32643,33270,33942,34592,35220,35836,36515,37175,37852,38574,39294,40019,40805,41580,42379,43280,44174,45004,45906,46790,47699,48636,49528,50538,51537,52480,53517,54462,55444,56464,57482,58577,59641,60722,61790,62894,64045,65280,66515,67718,68980,70221,71489,72729,73985,75320,76649,78009,79416,80784,82176,83516,84981,86393,87875,89368,90891,92417,93923,95484,97051,98756,100468,102167,103915,105728,107566,109516,111430,113416,115580,117690,119809,121972,124212,126535,128859,131198,133550,135970,138356,140789,143222,145821,148468,151135,153803,156588,159374,162193,165131,168115,171167,174179,177210,180451,183685,187026,190280,193606,197003,200401,203887,207482,211170,214847,218580,222295,225985,229867,233785,237797,241778,245867,250132,254361,258668,262914,267263,271712,276267,280862,285517,290257,294945,299702,304365,309278,314192,319257,324388,329581,334834,340133,345639,351032,356631,361946,367512,373266,378978,384883,390781,396640,402657,408789,414846,421121,427456,433851,440544,447253,454283,461286,468327,475484,482834,490224,497715,505519,513323,521301,529360,537729,545907,554329,563072,571651,580456,589446,598403,607527,616884,626375,636123,646128,656284,666491,676941,687491,698278,709278,720138,731111,742237,753478,764977,776494,788208,800209,812130,824008,836035,848197,860671,873134,885594,898429,911451,924642,937964,951354,964936,978706,992709,1006880,1021229,1035550,1050138,1064940,1079937,1094963,1110122,1125449,1140846,1156867,1172657,1188655,1205070,1221702,1238299,1255069,1271877,1288966,1306253,1323646,1341094,1359106,1377214,1395445,1414078,1432708,1451832,1471053,1490338,1509759,1529303,1549158,1569243,1589764,1610219,1630581,1651139,1672221,1693004,1713973,1734938,1756097,1777162,1798616,1820187,1841913,1863529,1885436,1907524,1929620,1951851,1974164,1996840,2019669,2042656,2065602,2088505,2111637,2134890,2158170,2182014,2205589,2229207,2252626,2276470,2300263,2324147,2348086,2371987,2396671,2420883,2445427
1,1,1,1,1,3,4,5,5,6,7,8,8,8,8,9,9,9,10,11,12,13,15,15,17,19,19,20,21,21,23,24,25,25,25,25,25,25,25,25,26,28,29,29,30,31,31,31,31,31,33,35,35,37,39,41,43,46,48,50,51,55,62,64,68,75,80,83,89,93,98,104,108,114,118,121,124,128,133,138,148,153,158,160,169,177,184,186,192,202,208,213,223,233,246,254,261,273,282,290,296,305,312,316,324,330,337,343,353,365,369,375,383,390,411,427,440,449,462,477,487,513,560,619,680,743,804,866,943,1030,1112,1217,1323,1427,1517,1619,1719,1858,1982,2128,2280,2422,2554,2701,2874,3032,3197,3372,3544,3696,3850,3980,4124,4249,4394,4502,4629,4758,4859,4973,5113,5217,5354,5462,5570,5674,5788,5882,5995,6097,6204,6307,6413,6538,6654,6778,6899,7023,7151,7289,7419,7554,7717,7851,8033,8183,8301,8441,8593,8724,8866,9020,9175,9307,9468,9613,9777,9957,10119,10293,10472,10634,10819,10997,11132,11326,11542,11728,11943,12146,12331,12536,12742,12970,13198,13387,13618,13832,14082,14302,14550,14768,15016,15257,15500,15753,16015,16290,16508,16769,16988,17233,17489,17747,18013,18271,18490,18780,19037,19338,19626,19912,20201,20496,20801,21103,21384,21737,22067,22448,22803,23176,23511,23877,24245,24601,24911,25269,25677,26046,26488,26921,27357,27776,28197,28632,29072,29507,29910,30371,30800,31235,31704,32159,32654,33158,33643,34156,34655,35189,35716,36280,36871,37400,37975,38582,39178,39849,40466,41141,41764,42409,43142,43813,44565,45291,46074,46898,47749,48577,49453,50387,51277,52215,53132,54045,55006,55945,56910,57931,58977,59961,61063,62137,63248,64309,65452,66706,67969,69218,70538,71948,73368,74817,76348,77836,79368,80948,82486,84050,85776,87436,89218,90956,92706,94480,96311,98180,99996,101864,103714,105622,107571,109498,111508,113516,115616,117803,119897,122117,124451,126710,128965,131192,133605,136061,138557,141033,143654,146349,149025,151766,154540,157435,160304,163120,166081,169131,172111,175157,178281,181398,184635,187944,191285,194527,197925,201567,205260,208854,212423,216223,220071,223957,227969,231911,236118,240461,244816,249401,253987,258801,263678,268483,273491,278550,283708,288836,294188,299565,305038,310601,316200,322018,327965,333961,340039,346133,352371,358636,364988,371449,378098,384756,391435,398092,405096,411990,419101,426266,433422,440690,448016,455552,462986,470668,478375,486067,493963,502054,510090,518184,526403,534707,543246,551766,560496,569360,578008,586980,596050,605357,614729,624237,633760,643378,653013,662759,672648,682687,692824,703158,713493,723815,734298,744938,755384,766194,777011,788013,798936,809918,821111,832462,843758,855277,866860,878556,890603,902613,914706,927218,939542,951923,964203,976916,989807,1002695,1015631,1028721,1041694,1055001,1068320,1081676,1095432,1109214,1123366,1137653,1152076,1166371,1181259,1196203,1211260,1226520,1241950,1257733,1273564
1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,5,5,7,10,10,14,14,15,18,18,24,27,31,32,34,35,35,37,39,44,47,49,52,55,58,59,61,65,67,70,72,75,78,83,88,93,97,99,106,109,111,119,122,125,132,138,139,142,150,154,158,163,166,173,185,192,205,208,209,213,220,234,250,264,278,296,325,344,366,388,404,433,455,494,524,559,607,642,689,729,755,794,841,880,919,953,998,1041,1077,1117,1163,1203,1249,1295,1333,1378,1430,1478,1518,1578,1642,1697,1743,1803,1860,1920,1982,2041,2095,2158,2220,2279,2331,2390,2446,2526,2584,2641,2704,2758,2833,2898,2965,3032,3107,3188,3243,3343,3435,3531,3633,3737,3846,3939,4060,4192,4321,4450,4598,4776,4941,5129,5313,5500,5665,5855,6049,6259,6508,6735,6961,7172,7411,7665,7887,8134,8355,8630,8870,9127,9394,9670,9954,10236,10509,10790,11103,11349,11638,11907,12203,12496,12822,13174,13497,13851,14218,14584,14930,15323,15744,16183,16612,17017,17465,17913,18352,18799,19251,19739,20223,20710,21220,21700,22239,22782,23392,23974,24591,25258,25929,26604,27298,27947,28600,29279,30014,30737,31503,32321,33070,33855,34727,35505,36335,37254,38129,39048,39962,40986,41884,42872,43851,44888,45963,47053,48158,49340,50637,51831,53129,54468,55864,57259,58721,60181,61649,63181,64745,66295,67852,69456,71118,72837,74610,76317,78015,79687,81474,83232,85020,86861,88715,90645,92584,94670,96711,98790,100893,103027,105122,107262,109505,111740,114048,116368,118738,121090,123439,125813,128136,130620,133147,135630,138240,140802,143490,146164,148768,151637,154556,157557,160592,163698,166844,169988,173219,176630,180009,183437,186795,190394,193872,197496,201241,204909,208770,212622,216600,220549,224525,228498,232626,236729,240823,245098,249368,253624,258001,262525,267087,271775,276590,281421,286387,291324,296426,301722,307059,312489,318058,323639,329452,335251,341139,347182,353305,359575,365849,372308,378915,385604,392327,399280,406139,413232,420575,428088,435668,443342,451154,459012,466951,474956,483232,491618,499961,508587,517237,525988,534888,543751,552776,561995,571390,580825,590294,599929,609849,619752,629927,640265,650832,661767,672570,683692,694693,706028,717348,728898,740795,752962,765245,777597,790411,803632,816798,830252,843979,857836,871887,885939,900127,914807,929209,944385,959676,975102,990570,1006363,1022425,1038617,1054950,1071239,1087780,1104445,1121251,1138108,1155057,1172441,1189800,1207261,1224918,1242728,1260469,1278490,1296770,1315155,1333591,1352218,1371334,1390499,1409836,1429296,1449060,1468957,1489413,1509648,1530430,1551234,1572070,1593348,1614848,1636465,1658077,1679801,1701896,1724053,1746301,1768654,1791213,1813825,1836633,1859550,1882527,1905275,1928236,1951409,1974430,1997934,2021597,2045383,2069109,2093070,2117343,2141852,2166289,2190974,2215818,2240524,2265591,2290820,2315988,2341732,2367397,2393415,2419415,2445640,2471669,2498043,2524480,2551032,2577688,2604077,2630871,2657912,2685052,2712332,2739343,2766615,2793899,2821738,2849225,2876870,2904327,2932283,2959866,2987521,3015531,3043592,3071408,3099433
1,1,1,2,4,5,7,8,13,17,20,25,26,26,28,32,34,41,41,50,53,55,60,64,75,82,86,95,101,102,107,108,110,115,118,127,134,142,144,148,155,157,163,171,174,179,181,185,190,190,193,195,197,198,198,198,200,208,210,211,214,217,221,228,236,238,243,249,252,257,263,269,281,285,295,307,324,338,354,364,371,387,402,415,429,445,467,485,512,519,534,556,578,596,616,634,659,676,697,716,733,747,763,788,804,833,849,864,889,907,922,937,955,970,985,1004,1018,1036,1056,1077,1089,1103,1130,1150,1168,1189,1213,1232,1255,1286,1313,1336,1355,1380,1413,1437,1464,1500,1526,1556,1602,1640,1679,1732,1772,1810,1863,1903,1935,1967,2021,2066,2115,2172,2220,2268,2314,2368,2412,2443,2497,2538,2581,2633,2672,2711,2754,2807,2846,2893,2939,2976,3004,3049,3094,3134,3178,3217,3247,3287,3327,3359,3402,3440,3481,3516,3555,3610,3660,3704,3752,3807,3865,3930,3979,4044,4097,4149,4212,4282,4343,4415,4481,4569,4648,4738,4811,4911,4997,5076,5163,5275,5392,5496,5635,5751,5868,5995,6138,6276,6427,6564,6697,6826,6954,7080,7252,7399,7561,7708,7846,7990,8133,8281,8457,8636,8821,8998,9158,9321,9508,9688,9869,10053,10262,10440,10625,10814,10991,11187,11389,11606,11824,12067,12313,12554,12802,13071,13338,13618,13865,14122,14396,14673,14978,15319,15631,15949,16259,16597,16896,17214,17531,17848,18156,18485,18828,19157,19478,19825,20176,20524,20891,21262,21616,21982,22329,22714,23109,23505,23892,24278,24695,25130,25553,26003,26464,26916,27361,27842,28286,28816,29345,29871,30423,30964,31555,32140,32681,33252,33867,34427,35047,35623,36252,36863,37476,38078,38729,39448,40140,40847,41552,42268,43006,43781,44550,45279,46044,46836,47643,48473,49285,50103,50914,51716,52556,53452,54349,55265,56242,57207,58272,59377,60458,61625,62764,63936,65130,66387,67686,68989,70290,71705,73000,74368,75793,77240,78717,80096,81637,83185,84714,86374,88116,89735,91483,93250,95136,97046,98955,100834,102832,104897,106867,108954,111003,113066,115225,117408,119658,121831,124091,126372,128526,130889,133196,135575,137983,140403,142776,145109,147549,149980,152443,154971,157472,160102,162640,165260,167980,170865,173663,176701,179627,182629,185882,189210,192444,195876,199265,202758,206211,209848,213497,217341,221094,225094,228986,233011,237059,241123,245204,249431,253680,257912,262204,266616,271146,275814,280507,285376,290261,295267,300250,305363,310653,315914,321182,326635,332083,337794,343351,349258,355089,361003,366957,373042,379268,385579,392052,398581,405176,411809,418449,425108,431811,438505,445389,452289,459420,466360,473557,480717,487987,495385,502820,510324,517921,525638,533601,541531,549467,557618,565777,574149,582616,591117,599886,608883,617965,627167,636380,645830,655219,664720,674589,684362,694463,704628,715072,725663,736234,746962,757785,768594,779694
1,1,3,8,8,8,9,9,12,13,16,17,18,19,20,21,23,26,30,34,37,38,40,44,50,52,55,58,61,66,69,72,77,81,83,86,89,95,103,108,112,116,124,138,153,162,174,185,194,209,218,228,237,246,259,272,290,303,323,338,350,360,378,398,408,423,442,454,467,478,498,512,523,539,560,577,591,612,631,648,670,683,703,720,732,748,766,792,822,849,868,879,904,931,964,1000,1034,1072,1116,1164,1227,1277,1329,1386,1438,1486,1544,1596,1650,1711,1765,1813,1863,1931,1983,2037,2088,2139,2192,2244,2295,2359,2424,2481,2541,2603,2679,2736,2795,2853,2929,3006,3074,3158,3243,3327,3402,3483,3550,3625,3688,3777,3843,3913,3988,4045,4119,4188,4254,4330,4389,4452,4530,4607,4669,4751,4823,4901,4973,5051,5139,5221,5293,5366,5462,5537,5606,5704,5796,5887,5972,6076,6162,6262,6361,6468,6555,6641,6740,6842,6931,7032,7144,7244,7349,7472,7575,7690,7820,7952,8048,8166,8291,8439,8586,8711,8838,8985,9138,9293,9453,9601,9767,9934,10099,10270,10463,10660,10855,11094,11316,11547,11786,12042,12315,12594,12863,13150,13437,13771,14099,14385,14724,15013,15320,15645,15971,16305,16658,16999,17366,17732,18108,18467,18863,19259,19644,20062,20484,20968,21425,21947,22477,22966,23470,23980,24503,24985,25503,26023,26574,27183,27740,28313,28898,29474,30100,30723,31376,32020,32653,33319,34059,34789,35582,36326,37119,37921,38713,39548,40393,41210,42040,42934,43785,44642,45574,46551,47525,48540,49562,50647,51677,52762,53822,54970,56121,57348,58586,59810,61175,62574,63980,65362,66771,68172,69651,71134,72664,74189,75773,77402,79021,80684,82426,84118,85883,87633,89494,91231,93193,95234,97236,99386,101557,103800,106016,108365,110691,113166,115684,118233,120857,123429,126131,128815,131603,134386,137253,140234,143073,146065,149182,152343,155673,159072,162362,165900,169440,172990,176582,180211,183835,187764,191551,195475,199456,203392,207412,211605,215923,220348,224596,229135,233634,238246,242843,247607,252327,257192,262216,267336,272384,277442,282726,287969,293309,298819,304366,310030,315682,321432,327210,333036,338945,345008,351165,357367,363856,370297,377000,383696,390595,397514,404568,411889,419258,426701,434068,441513,449197,456811,464557,472500,480431,488523,496739,505051,513402,521902,530574,539430,548481,557464,566850,576273,585746,595489,605252,615168,625270,635257,645458,656057,666590,677232,687917,698802,709819,720926,732257,743632,755150,766757,778496,790465,802675,814997,827782,840301,852941,865860,878987,892211,905385,918674,932211,945620,959472,973202,987059,1001108,1015229,1029456,1043680,1058175,1072786,1087640,1102652,1117491,1132601,1147783,1163219,1178442,1194259,1209913,1225964,1241966,1258374,1274576,1290912,1307301,1323834,1340541,1357030,1373698,1390541,1407764,1425001,1442502,1459949,1477690,1495329,1513304,1531537,1549970,1568252,1586520,1605257,1624057,1643208,1662319,1681397,1700680,1720007,1739500,1759263,1778944,1798518,1818472,1838388,1858652,1878908,1899115,1919506,1940338,1961292
1,1,1,1,1,1,2,2,2,4,4,7,7,7,7,7,7,7,7,7,7,8,10,14,17,17,18,19,19,20,23,27,27,28,31,34,39,40,42,43,46,49,53,55,59,61,66,68,71,78,80,88,90,93,98,103,110,117,117,119,124,128,132,138,141,145,148,155,159,163,165,167,171,175,177,181,185,190,192,196,202,209,214,221,227,235,240,255,264,274,279,290,296,308,310,318,329,339,345,354,362,373,386,403,417,435,454,469,482,504,535,559,585,602,631,661,700,718,748,771,796,822,860,890,921,952,987,1034,1076,1110,1148,1188,1242,1301,1355,1403,1465,1521,1573,1639,1689,1749,1812,1869,1929,1980,2043,2108,2185,2247,2309,2378,2433,2482,2543,2602,2662,2737,2811,2897,2984,3087,3177,3265,3373,3479,3588,3708,3814,3938,4062,4200,4337,4479,4604,4725,4872,4998,5135,5268,5438,5588,5736,5899,6044,6211,6352,6499,6677,6837,7010,7201,7373,7560,7725,7919,8140,8338,8523,8724,8940,9155,9351,9524,9727,9909,10119,10312,10497,10708,10912,11080,11285,11480,11673,11897,12102,12306,12517,12745,12956,13190,13406,13659,13911,14174,14438,14745,15022,15300,15616,15903,16195,16493,16852,17181,17519,17879,18224,18610,18984,19387,19838,20252,20673,21100,21544,21963,22432,22900,23333,23814,24286,24759,25240,25727,26184,26709,27198,27664,28137,28640,29175,29727,30230,30768,31310,31842,32439,33052,33658,34271,34924,35590,36266,36959,37681,38437,39175,39930,40781,41614,42465,43388,44326,45314,46307,47328,48374,49334,50387,51490,52600,53681,54820,55957,57109,58208,59328,60484,61675,62889,64068,65243,66533,67751,69013,70387,71768,73099,74493,75926,77425,79015,80613,82173,83801,85514,87180,88893,90629,92336,94056,95815,97715,99552,101379,103224,105062,106894,108769,110649,112552,114594,116734,118855,120879,123001,125203,127480,129775,132180,134563,137006,139452,141980,144580,147189,149862,152715,155571,158488,161439,164439,167456,170602,173720,176935,180121,183496,186871,190331,193751,197243,200896,204616,208256,211911,215738,219504,223353,227205,231064,235022,239143,243314,247473,251690,255876,260222,264659,269094,273645,278277,283271,288039,293007,298180,303324,308513,314102,319716,325413,331199,337117,343112,349094,355300,361649,367919,374557,381060,387779,394418,401219,408213,415280,422440,429746,436973,444379,452122,459834,467577,475564,483572,491557,499769,508148,516688,525442,534254,543188,552336,561515,570742,580273,589974,599675,609653,619824,630176,640668,651099,661895,672774,683639,694844,706193,717652,729571,741523,753624,765682,777969,790711,803444,816510,829590,843014,856543,870262,884144,898063,912486,927001,941565,956253,971330,986498,1001888,1017457,1033261,1049293,1065581,1081779,1098278,1114894,1131841,1148860,1166004,1183073,1200272,1217752,1235435,1253218,1270950,1288889,1306717,1324848,1342875,1361375,1380087,1398614,1417193,1436113,1455109,1474015,1493173,1512462,1531922,1551396,1571253,1590856,1610696,1630687,1650818
1,1,1,1,1,1,1,1,2,4,5,5,6,7,8,9,10,11,12,13,15,17,19,21,23,26,27,29,31,35,40,42,42,50,53,59,62,65,72,77,80,86,91,100,105,109,116,121,130,139,144,152,159,168,176,179,184,195,200,211,219,226,235,241,243,247,253,260,269,280,288,300,313,317,321,330,343,348,360,372,380,391,401,415,430,442,454,466,476,488,500,513,528,547,568,581,593,606,618,638,649,660,675,697,711,729,750,769,781,795,814,829,839,844,853,866,882,898,912,916,923,932,938,947,951,957,965,972,974,981,989,994,1000,1005,1010,1014,1016,1020,1027,1030,1035,1038,1048,1053,1056,1060,1064,1069,1075,1081,1081,1081,1083,1086,1088,1090,1090,1091,1092,1096,1098,1099,1103,1103,1105,1107,1107,1112,1114,1115,1117,1117,1117,1117,1119,1119,1119,1119,1119,1119,1120,1121,1121,1123,1124,1124,1124,1124,1124,1124,1124,1124,1124,1124,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
1,1,1,4,5,8,10,12,14,16,18,18,20,21,29,35,39,43,43,50,55,56,57,60,63,67,68,73,79,84,90,99,100,106,109,114,117,122,127,134,147,155,162,168,178,188,197,207,212,220,228,233,238,244,253,263,271,280,286,295,308,317,334,345,353,364,383,395,405,415,424,438,454,470,490,514,537,550,567,594,614,644,671,708,735,763,799,841,877,915,946,976,1008,1035,1066,1088,1114,1147,1198,1223,1252,1283,1317,1344,1378,1408,1435,1460,1485,1509,1549,1570,1595,1622,1648,1673,1707,1748,1788,1824,1866,1895,1927,1960,1998,2061,2118,2169,2216,2295,2345,2395,2463,2534,2610,2687,2763,2835,2890,2967,3044,3116,3191,3280,3367,3471,3556,3642,3711,3819,3918,4031,4112,4217,4324,4441,4551,4663,4777,4898,5022,5154,5295,5436,5573,5740,5914,6062,6220,6383,6550,6736,6944,7157,7366,7575,7766,7950,8152,8336,8558,8755,8960,9150,9384,9584,9791,10055,10314,10569,10869,11259,11595,11907,12257,12678,13073,13471,13932,14378,14843,15358,15896,16427,16953,17520,18079,18641,19173,19697,20303,20912,21576,22234,22959,23704,24449,25253,26128,27001,27894,28768,29672,30563,31412,32252,33104,34023,34875,35731,36574,37431,38306,39202,40162,41055,41953,42922,43894,44896,45907,46909,48031,49089,50203,51290,52429,53529,54592,55691,56797,57998,59168,60330,61548,62845,64120,65410,66778,68097,69394,70758,72113,73451,74841,76266,77686,79162,80647,82108,83621,85155,86694,88211,89834,91421,93061,94739,96450,98293,100116,102046,104038,105995,108003,110129,112328,114465,116725,118954,121168,123542,125863,128237,130701,133192,135744,138270,140906,143611,146302,149104,151950,154827,157757,160687,163737,166959,170148,173354,176615,180007,183370,186849,190566,194213,197915,201736,205604,209528,213552,217545,221578,225692,230044,234294,238704,242948,247431,252076,256699,261379,266232,271112,276129,281192,286408,291746,297067,302514,308020,313593,319238,325006,330880,336716,342794,348963,355202,361636,368285,374739,381372,388133,394939,401802,408620,415870,423145,430397,437990,445523,453294,461145,468928,476788,484873,493076,501381,509696,518215,526861,535641,544649,553671,562981,572350,581789,591386,600967,610822,620906,630995,641222,651566,662016,672391,683106,693643,704512,715417,726501,737747,748984,760465,772193,784009,795892,807988,820225,832476,844879,857654,870754,883792,896891,910428,924107,937888,951846,966094,980427,994897,1009473,1024274,1039049,1054019,1069270,1084802,1100382,1115866,1131881,1147824,1164025,1180123,1196501,1213041,1229749,1246744,1263593,1280725,1297777,1314889,1331914,1349414,1367002,1384558,1401976,1419513,1437255,1455362,1473416,1491732,1509917,1528344,1547085,1565811,1584743,1603863,1622953,1642220,1661394,1680877,1700458,1720135,1740196,1760151,1780212,1800434,1820807,1841244,1861624,1882464,1903258,1924035,1944984,1966123,1987557,2008896,2030433,2051875,2073672,2095490,2117679,2139705,2162126,2184583,2207208,2230052,2252718,2275837,2298952,2322470,2345790,2369408,2393092,2416644,2440789,2464765,2489060,2513355,2537704,2562027,2586568,2611517,2636510,2661381
1,1,1,1,1,1,1,1,1,2,3,5,5,5,6,6,6,7,9,12,14,15,18,19,19,22,25,28,31,36,41,46,48,52,55,58,59,63,70,75,82,89,94,96,101,106,109,113,116,121,127,130,134,135,138,142,148,157,159,163,166,168,172,175,180,183,194,202,206,210,216,221,226,230,240,250,257,263,275,285,295,300,309,320,330,343,351,360,367,374,392,405,413,423,432,445,453,458,471,483,495,501,510,521,534,544,551,558,566,575,578,586,591,603,619,633,642,650,660,673,684,695,706,718,729,743,755,766,786,802,812,823,843,855,870,883,899,914,931,941,963,978,996,1004,1016,1035,1054,1067,1084,1096,1113,1133,1150,1170,1188,1209,1234,1256,1276,1293,1307,1329,1344,1369,1393,1412,1436,1458,1480,1497,1519,1535,1557,1579,1601,1618,1632,1651,1673,1688,1706,1727,1748,1774,1794,1818,1832,1843,1866,1888,1906,1934,1956,1977,1998,2016,2034,2054,2069,2099,2125,2148,2165,2184,2203,2232,2265,2294,2327,2354,2375,2403,2433,2453,2479,2503,2538,2561,2593,2625,2652,2680,2712,2740,2779,2808,2836,2863,2899,2927,2962,2993,3024,3052,3083,3113,3146,3172,3213,3242,3274,3307,3342,3382,3420,3450,3483,3524,3566,3610,3658,3709,3769,3817,3863,3916,3965,4004,4056,4115,4183,4240,4302,4368,4435,4499,4554,4615,4682,4754,4836,4929,5012,5094,5164,5255,5351,5460,5556,5657,5755,5886,5981,6100,6203,6303,6431,6546,6675,6797,6909,7041,7157,7258,7372,7498,7637,7759,7870,8007,8156,8284,8425,8572,8711,8853,9001,9145,9303,9452,9607,9752,9907,10093,10268,10470,10708,10928,11120,11342,11568,11824,12098,12391,12729,13029,13344,13668,14012,14364,14727,15133,15518,15946,16348,16759,17231,17672,18176,18683,19223,19748,20297,20824,21436,22121,22735,23336,24015,24707,25413,26105,26777,27479,28249,28949,29732,30519,31336,32209,33066,33980,34920,35881,36916,37949,39011,40060,41124,42225,43396,44585,45790,47047,48300,49565,50882,52325,53685,55037,56431,57814,59327,60814,62366,63833,65313,66804,68300,69844,71339,72843,74368,75989,77664,79345,81093,82924,84781,86755,88688,90735,92808,94882,96884,98996,101221,103428,105730,108056,110418,112766,115161,117590,120064,122451,124911,127390,129764,132271,134797,137303,139835,142473,145079,147825,150578,153468,156249,159124,162150,165124,168114,171239,174411,177529,180736,184067,187453,190942,194461,198074,201760,205364,209179,212955,216824,220679,224678,228787,232865,237034,241342,245673,250163,254553,259245,263812,268495,273220,278028,282881,287760,292729,297813,303022,308190,313565,318954,324396,329976,335542,341274,347291,353465,359549,365721,372180,378526,384957,391680,398377,405032,411762,418665,425530,432612,439704,446849,454129,461624,469248,477067,484826,492967,501222,509521
1,1,1,1,1,2,3,3,3,3,3,4,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,9,10,13,13,13,14,17,19,19,20,24,27,32,34,37,40,41,46,49,55,59,63,68,73,78,80,87,92,97,101,101,104,106,111,114,118,123,130,134,143,154,160,164,166,175,178,184,191,192,198,204,214,223,236,242,254,264,269,281,290,298,312,317,329,340,343,348,354,366,374,384,395,408,419,425,433,443,450,458,465,473,484,491,504,509,518,524,536,542,546,562,573,583,595,604,618,630,638,651,660,676,690,703,713,724,734,741,751,768,786,798,820,838,859,870,883,894,904,920,934,951,967,992,1009,1027,1058,1094,1119,1151,1180,1221,1248,1287,1327,1370,1399,1445,1489,1534,1577,1625,1677,1728,1779,1826,1878,1928,1992,2032,2100,2155,2202,2259,2313,2354,2411,2462,2513,2551,2602,2659,2723,2787,2854,2934,3024,3100,3173,3242,3320,3392,3483,3570,3663,3742,3821,3921,4020,4097,4193,4292,4372,4477,4552,4626,4737,4835,4923,5009,5117,5205,5311,5407,5535,5611,5710,5810,5914,6019,6129,6247,6359,6488,6584,6705,6831,6933,7048,7146,7267,7409,7554,7673,7792,7902,8042,8164,8311,8446,8599,8733,8873,9023,9161,9297,9432,9598,9771,9933,10081,10248,10409,10552,10700,10857,11025,11176,11340,11498,11674,11837,11992,12162,12313,12486,12652,12841,13002,13193,13364,13538,13722,13923,14116,14323,14535,14746,14978,15198,15400,15642,15898,16130,16392,16659,16914,17218,17508,17848,18131,18473,18837,19176,19530,19873,20210,20539,20871,21279,21652,22043,22464,22866,23288,23750,24176,24627,25076,25563,26079,26547,27104,27631,28162,28721,29280,29885,30461,31050,31627,32245,32916,33572,34218,34921,35667,36355,37133,37904,38781,39656,40598,41461,42400,43341,44279,45276,46204,47165,48132,49091,50092,51090,52135,53195,54308,55450,56589,57665,58771,59946,61130,62289,63463,64688,65929,67178,68481,69776,71058,72309,73666,75065,76465,77887,79299,80761,82152,83622,85172,86736,88338,90036,91752,93440,95263,97108,98997,101080,103145,105201,107363,109489,111792,114073,116387,118733,121154,123759,126390,128968,131679,134426,137164,139961,142897,145765,148750,151745,154839,158025,161185,164342,167628,170972,174327,177690,181233,184892,188614,192398,196260,200220,204291,208323,212502,216848,221114,225658,230145,234827,239548,244451,249372,254463,259525,264678,270026,275559,281231,286852,292544,298305,304376,310219,316375,322577,328767,335004,341222,347620,353941,360486,367150,373925,380753,387491,394430,401327,408404,415514,422708,430174,437534,445067,452559,460201,467896,475836,483664,491716,499908,508320,516821,525538,534471,543454,552507,561829,571278,580548,590311,600245,610226,620465,630755,641328,651878,662808,673870,685159,696430,707917,719658,731332,743060,755008,767313,779652,792054
1,1,2,2,2,2,2,4,4,5,5,6,8,8,8,10,11,13,15,16,16,16,16,18,18,19,20,20,23,23,24,26,27,29,33,34,36,38,42,43,47,50,51,53,54,58,59,59,59,60,60,62,63,65,68,71,73,75,77,77,79,80,80,81,82,82,82,83,84,86,88,91,92,92,95,96,96,97,98,100,101,101,102,102,103,104,106,107,108,111,112,117,120,123,125,126,128,131,133,133,135,138,140,140,142,148,150,153,155,157,160,161,162,169,170,172,176,178,178,178,179,180,182,185,186,187,188,190,193,198,198,199,200,203,207,216,224,228,237,240,249,256,265,270,274,277,283,288,299,311,324,333,343,355,365,380,396,410,432,445,459,471,487,504,519,536,550,574,593,616,640,659,682,706,724,744,773,802,829,849,874,897,929,960,981,1005,1030,1052,1093,1131,1165,1204,1249,1291,1341,1375,1431,1479,1543,1590,1664,1752,1838,1940,2058,2185,2337,2480,2644,2831,2985,3159,3322,3488,3643,3818,3991,4150,4333,4507,4681,4856,5052,5247,5480,5747,5994,6228,6480,6736,6999,7322,7602,7898,8187,8473,8772,9046,9328,9586,9850,10130,10393,10667,10954,11197,11461,11746,11996,12266,12523,12778,13064,13328,13602,13901,14208,14546,14903,15229,15563,15924,16302,16686,17068,17450,17816,18201,18613,19032,19427,19803,20198,20581,20925,21313,21674,22017,22394,22753,23121,23499,23871,24268,24617,24992,25399,25808,26240,26688,27160,27606,28079,28571,29078,29572,30012,30490,31032,31547,32080,32610,33127,33699,34260,34773,35350,35929,36545,37126,37747,38356,38951,39568,40179,40870,41574,42192,42851,43543,44218,44900,45628,46314,47008,47703,48433,49122,49846,50597,51360,52184,53009,53835,54640,55522,56406,57294,58194,59157,60131,61206,62198,63248,64332,65421,66556,67661,68801,69928,71064,72250,73400,74580,75750,76886,78125,79390,80722,82030,83331,84727,86086,87520,88997,90487,91944,93458,95002,96563,98141,99754,101409,103043,104807,106552,108302,110082,111934,113812,115776,117767,119840,122002,124233,126598,128986,131265,133638,136101,138625,141208,143785,146429,149012,151675,154315,156997,159770,162631,165449,168272,171145,173975,176963,179979,182900,186014,189093,192290,195470,198595,201806,205126,208515,211875,215280,218755,222299,225893,229676,233396,237347,241198,245180,249216,253313,257535,261781,266176,270705,275278,279882,284537,289264,294094,298925,303825,308894,313954,319177,324408,329676,335066,340580,346131,351724,357389,363050,368961,374806,380843,387206,393557,399858,406386,412960,419667,426457,433227,440261,447142,454345,461750,469194,476509,483838,491459,499255,507277,515340,523653,531938,540175,548560,557132,565755,574587,583453,592397,601714,610905,620390,629808,639341,648786,658768,668807,679003,689323,699857,710229,720820,731554,742382,753327,764500
1,1,1,1,1,2,3,4,5,5,5,5,5,5,5,7,8,8,9,9,10,11,13,17,18,22,28,31,38,39,50,56,62,67,74,77,79,85,90,96,104,112,127,134,145,154,164,182,190,209,225,239,250,264,276,300,316,335,361,386,410,425,446,463,480,503,523,548,572,590,609,636,656,683,701,719,740,760,785,808,827,845,864,878,894,912,927,951,961,979,1000,1018,1041,1055,1079,1105,1127,1146,1165,1193,1227,1259,1280,1301,1327,1373,1435,1505,1599,1703,1789,1903,2014,2122,2259,2360,2488,2590,2702,2802,2897,2998,3079,3193,3262,3345,3422,3513,3603,3691,3772,3855,3925,3998,4081,4145,4226,4300,4375,4449,4525,4599,4671,4749,4827,4920,4992,5081,5169,5260,5341,5430,5538,5616,5692,5761,5869,5963,6066,6176,6285,6397,6515,6602,6692,6775,6871,6986,7079,7194,7328,7462,7569,7681,7789,7918,8027,8146,8276,8397,8534,8664,8800,8939,9082,9236,9394,9538,9705,9848,9993,10127,10263,10430,10580,10748,10907,11072,11218,11379,11522,11686,11858,12039,12216,12396,12594,12778,12982,13174,13334,13517,13677,13877,14095,14297,14511,14697,14894,15112,15326,15529,15739,15991,16215,16455,16702,16918,17141,17381,17616,17875,18141,18378,18647,18911,19193,19428,19712,20021,20298,20586,20955,21318,21640,22025,22397,22808,23221,23644,24049,24464,24893,25358,25826,26263,26771,27256,27743,28225,28724,29236,29746,30298,30843,31392,31980,32547,33155,33765,34437,35127,35857,36577,37372,38149,38926,39759,40588,41412,42255,43103,43968,44787,45659,46558,47507,48466,49415,50405,51417,52443,53463,54563,55721,56881,58026,59330,60595,61893,63264,64646,65996,67302,68674,70172,71683,73120,74668,76176,77742,79336,80866,82391,84002,85584,87136,88712,90315,91928,93662,95392,97133,98953,100767,102597,104474,106395,108442,110486,112591,114821,117091,119326,121698,123977,126528,129040,131602,134181,136722,139259,142027,144777,147514,150196,153008,155870,158705,161702,164808,168063,171208,174412,177696,181036,184430,187745,191254,194900,198625,202289,206014,209834,213795,217766,221918,226080,230291,234716,239134,243637,248247,252904,257517,262245,267065,272002,277126,282295,287366,292825,298325,303816,309280,314942,320726,326736,332853,338941,345207,351616,358170,364704,371411,378332,385240,392453,399654,407030,414510,422272,430037,438187,446477,454721,463148,471711,480304,489084,498077,507063,516270,525513,534995,544475,554053,563966,573934,583928,594058,604613,615030,625648,636379,647334,658443,669509,680959,692324,704278,716226,728271,740717,753363,765883,778707,791564,804603,817844,831330,844710,858437,872453,886496,900947,915167,929735,944483,959180,974397,989473,1004848,1020341,1036114,1051941,1067838,1084062,1100543,1117174,1134005,1151026,1168295,1185550,1202934,1220273,1237900,1255516,1273787,1292046,1310601,1328982,1347570,1366412,1385317,1404504,1423850,1443036,1462574,1482108,1501933,1522061,1542207,1562434,1582989,1603343,1624000,1644811,1665709,1686527,1707680,1728914,1749960,1771433,1792971,1814541,1836211
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1,1,1,1,1,4,6,6,8,8,8,10,11,13,15,20,22,26,30,34,35,39,42,46,51,64,66,72,81,86,90,98,104,108,113,121,126,132,141,153,161,163,169,172,180,186,190,195,199,207,213,218,223,228,235,244,249,256,263,274,278,285,290,296,301,304,310,312,319,325,334,343,349,360,372,381,386,393,402,405,412,418,423,430,436,442,449,454,461,466,479,485,490,497,500,510,515,520,528,534,540,546,549,555,561,576,582,587,595,597,604,613,620,623,629,632,635,639,651,656,663,672,675,680,690,697,703,706,715,716,721,727,734,744,753,762,766,771,775,780,783,790,796,800,804,808,812,814,819,824,828,830,834,836,842,849,854,861,862,863,871,876,880,885,890,895,899,902,905,909,912,923,928,935,942,945,953,961,961,963,968,977,982,984,988,996,1003,1009,1011,1016,1021,1026,1028,1032,1039,1048,1055,1062,1067,1075,1083,1087,1092,1098,1106,1111,1114,1118,1121,1128,1139,1146,1154,1164,1169,1175,1186,1198,1201,1208,1216,1220,1225,1231,1240,1253,1258,1262,1264,1274,1279,1283,1289,1293,1301,1303,1306,1309,1317,1323,1331,1336,1340,1350,1356,1362,1373,1380,1388,1396,1399,1410,1419,1424,1437,1443,1454,1461,1469,1475,1482,1487,1501,1508,1521,1531,1542,1552,1564,1579,1583,1592,1602,1606,1616,1622,1625,1637,1643,1651,1661,1672,1681,1690,1694,1702,1713,1720,1729,1737,1748,1751,1755,1760,1771,1777,1782,1786,1791,1800,1805,1810,1817,1827,1833,1839,1850,1857,1863,1869,1876,1882,1889,1903,1914,1926,1937,1947,1961,1976,1991,2011,2030,2046,2067,2082,2102,2117,2134,2153,2172,2194,2217,2227,2245,2260,2275,2310,2331,2358,2390,2427,2451,2484,2525,2564,2594,2635,2679,2719,2778,2824,2879,2950,3006,3064,3123,3199,3264,3329,3397,3465,3544,3606,3678,3759,3826,3899,3981,4065,4148,4222,4313,4395,4484,4561,4643,4724,4801,4893,4985,5081,5202,5304,5401,5519,5624,5728,5847,5961,6076,6184,6322,6459,6604,6759,6910,7072,7221,7412,7611,7839,8043,8260,8532,8820,9112,9425,9736,10061,10413,10778,11148,11540,11947,12346,12735,13192,13665,14137,14555,15035,15529,15992,16486,17022,17531,18043,18542,19038,19535,20086,20596,21127,21684,22248,22829,23377,23928,24470,25017,25607,26225,26826,27427,28052,28647,29281,29960,30564,31284,31934,32647,33287,33959,34636,35329,35987,36655,37346,38058,38732,39457,40209,40956,41744,42537,43321,44107,44929,45701,46511,47374,48228,49079,49986,50897,51839,52778,53775,54850,55877,56942,58091,59233,60429,61641,62885,64136,65352,66617,67903,69282,70701,72089,73435,74865
1,1,1,1,3,3,4,5,8,9,9,10,11,12,12,12,12,12,12,13,14,15,18,18,18,21,21,22,23,26,29,33,35,39,42,46,46,48,51,58,59,63,65,71,74,78,82,84,90,91,98,102,105,115,126,133,136,143,147,153,157,163,168,179,191,196,207,209,225,231,237,249,259,268,275,292,308,322,331,343,356,363,371,381,392,401,411,424,430,438,452,464,479,495,505,518,533,552,571,588,613,628,654,673,690,709,723,750,777,791,804,823,849,867,885,915,939,956,985,1008,1028,1039,1060,1076,1095,1116,1144,1159,1178,1196,1211,1226,1247,1264,1282,1299,1313,1331,1352,1375,1392,1409,1430,1450,1471,1496,1517,1536,1561,1580,1594,1611,1640,1651,1674,1702,1713,1729,1760,1779,1797,1816,1832,1854,1874,1903,1920,1944,1978,2001,2032,2055,2078,2107,2138,2161,2196,2217,2244,2273,2305,2334,2359,2400,2429,2460,2495,2530,2562,2602,2638,2664,2690,2725,2759,2787,2824,2855,2891,2923,2952,2991,3022,3059,3106,3143,3174,3209,3247,3278,3310,3341,3380,3408,3449,3498,3535,3567,3610,3643,3685,3718,3768,3815,3864,3904,3941,3998,4045,4094,4148,4197,4239,4297,4350,4409,4450,4505,4559,4619,4676,4730,4780,4840,4920,4982,5024,5094,5160,5219,5291,5364,5430,5505,5600,5679,5760,5860,5962,6047,6148,6248,6353,6456,6543,6656,6754,6884,6981,7080,7186,7298,7399,7510,7609,7734,7850,7955,8063,8167,8281,8399,8514,8646,8737,8851,8969,9091,9227,9381,9529,9673,9840,10007,10157,10341,10532,10709,10905,11086,11307,11503,11704,11916,12123,12332,12529,12754,13000,13240,13470,13698,13903,14135,14355,14606,14870,15135,15355,15594,15835,16084,16309,16564,16835,17105,17395,17674,17955,18259,18555,18827,19110,19406,19708,20026,20368,20711,21059,21430,21754,22081,22452,22858,23244,23572,23959,24355,24723,25116,25505,25932,26302,26693,27131,27567,27989,28402,28848,29263,29704,30161,30643,31130,31642,32144,32668,33228,33737,34316,34862,35461,36111,36762,37413,38094,38837,39626,40402,41260,42139,43014,43857,44782,45710,46685,47664,48729,49769,50825,51890,52997,54116,55271,56506,57694,58952,60276,61604,62894,64289,65641,66968,68361,69824,71311,72890,74546,76255,77875,79555,81338,83144,84967,86817,88704,90548,92559,94521,96498,98429,100471,102604,104724,106810,108980,111115,113363,115655,117952,120237,122611,124986,127321,129783,132167,134681,137241,139791,142311,144933,147627,150265,153051,155844,158707,161685,164699,167690,170695,173788,176937,180112,183352,186735,190130,193573,197014,200627,204224,207843,211577,215448,219406,223436,227491,231729,235739,239821,244235,248653,253077,257570,262194,266780,271575,276448,281461,286402,291594,296712,301919,307286,312798,318256,323969,329817,335788,341712,347868,354325,360538,367086,373710,380430,387293,394100
1,1,1,3,4,5,6,9,10,11,11,11,11,11,12,13,16,17,18,19,22,23,24,26,27,29,32,33,35,36,42,47,52,58,61,65,67,70,73,82,88,93,93,101,109,114,121,128,138,144,145,151,162,166,172,179,189,194,203,210,219,234,245,256,266,278,287,296,301,314,317,324,333,341,350,358,373,380,389,404,412,424,435,447,463,473,485,494,504,512,524,534,548,565,582,600,619,645,664,687,719,756,778,807,840,868,896,926,954,993,1029,1063,1104,1156,1205,1253,1291,1342,1381,1433,1482,1534,1601,1656,1715,1775,1830,1886,1933,1997,2054,2111,2167,2222,2275,2350,2430,2500,2569,2643,2711,2793,2889,3001,3097,3218,3331,3471,3600,3745,3925,4061,4238,4416,4596,4804,4996,5190,5412,5596,5842,6107,6356,6597,6843,7116,7373,7642,7886,8189,8454,8755,9045,9355,9623,9901,10213,10529,10828,11147,11498,11866,12216,12566,12942,13341,13774,14191,14600,15066,15547,16041,16530,17021,17526,18027,18536,19051,19583,20081,20606,21132,21702,22296,22911,23473,24106,24722,25401,26035,26753,27534,28341,29199,30045,30879,31740,32665,33462,34299,35184,36148,37124,38115,39153,40203,41285,42361,43445,44520,45642,46776,47939,49108,50280,51489,52753,53979,55274,56560,57896,59200,60498,61912,63343,64834,66307,67851,69409,70975,72572,74293,75989,77656,79376,81088,82738,84563,86387,88350,90275,92187,94056,96031,98034,100159,102246,104394,106606,108632,110788,112975,115236,117612,120050,122545,124935,127461,129995,132565,135320,138042,140847,143677,146679,149579,152511,155612,158688,161802,164913,168152,171402,174784,178210,181652,185110,188768,192426,196183,200126,204063,207936,212055,216161,220237,224454,228594,232841,237210,241623,246117,250518,254935,259579,264111,268914,273771,278674,283713,288980,294320,299690,305209,310801,316492,322416,328522,334852,341526,348316,354901,361532,368390,375337,382426,389622,396801,404243,411670,419106,426733,434642,442458,450446,458521,466881,475239,483597,492038,500560,509282,518123,527018,535852,544974,554017,563339,572932,582504,592306,602113,611858,621760,631804,641728,652101,662441,672823,683308,694013,704797,715783,726866,738126,749379,760751,772199,783911,795730,807616,819403,831446,843634,855912,868290,880746,893459,906169,919030,932031,945501,958627,972169,985650,999167,1012936,1026811,1040910,1055365,1069630,1084238,1098764,1113622,1128451,1143505,1158739,1174023,1189349,1204967,1220727,1236658,1252803,1268780,1285099,1301364,1317865,1334311,1351157,1367820,1384794,1401728,1418814,1436151,1453651,1471198,1488814,1506571,1524376,1542287,1560326,1578549,1596890,1615241,1633817,1652644,1671493,1690751,1710144,1729618,1749003,1768683,1788512,1808312,1828463,1848942,1869509,1890308,1911168,1932194,1953472,1974699,1996200,2018106,2040030,2062131,2084564,2106828,2129283,2152086,2174947,2198120,2221203,2244457,2268131,2291783,2315308,2339139,2363059,2387111,2411300,2435905,2460400,2485234,2510032,2534933,2559872,2584843,2610131,2635631,2661186,2686822,2712646,2738776,2764954,2791140,2817611,2844196,2870868,2897551,2924313,2951432,2978471,3005630,3032818,3060182,3087555
1,1,1,1,2,2,2,2,5,5,7,8,8,10,11,15,18,19,20,25,29,32,33,38,41,43,44,45,48,50,54,55,60,66,68,72,73,75,81,81,81,82,85,88,92,99,103,107,110,113,119,124,125,126,128,131,136,142,144,148,156,159,163,165,167,172,175,180,186,190,194,196,198,201,204,208,211,215,221,223,230,236,243,252,259,267,270,282,292,301,310,322,330,345,357,370,375,388,397,415,425,439,456,468,483,493,516,530,548,563,578,592,605,618,637,650,666,682,701,717,739,752,769,790,813,843,857,876,901,920,940,966,989,1009,1035,1068,1086,1111,1139,1171,1205,1239,1281,1308,1354,1393,1427,1459,1490,1523,1568,1608,1644,1697,1757,1811,1862,1913,1965,2010,2058,2109,2167,2230,2284,2340,2401,2467,2524,2573,2626,2691,2767,2838,2923,3002,3077,3159,3249,3335,3420,3513,3607,3713,3808,3921,4018,4135,4227,4326,4435,4540,4663,4779,4891,5012,5145,5268,5393,5515,5644,5814,5977,6154,6336,6520,6719,6960,7199,7406,7632,7853,8089,8333,8598,8852,9137,9418,9677,9941,10221,10494,10772,11044,11324,11599,11856,12113,12364,12638,12903,13165,13387,13638,13919,14192,14456,14721,14979,15255,15526,15822,16134,16442,16758,17056,17381,17704,18085,18393,18727,19088,19431,19777,20164,20552,20958,21388,21771,22189,22589,23023,23461,23930,24381,24845,25280,25763,26252,26758,27289,27795,28347,28859,29407,29948,30504,31042,31592,32144,32728,33273,33823,34463,35085,35772,36486,37157,37847,38529,39261,40026,40778,41638,42503,43439,44405,45369,46395,47363,48356,49384,50406,51497,52625,53707,54801,55883,57016,58117,59244,60329,61464,62621,63793,65057,66248,67518,68867,70196,71623,73033,74388,75767,77174,78649,80191,81788,83450,85146,86840,88565,90329,92161,94002,95910,97792,99666,101671,103713,105717,107868,110005,112192,114428,116758,118995,121265,123762,126227,128687,131110,133589,136094,138528,141057,143661,146316,148947,151709,154366,157160,159933,162805,165833,168779,171731,174785,177971,181172,184332,187736,191156,194652,198199,201684,205385,209103,212950,216833,220734,224744,228883,233111,237360,241775,246176,250573,255093,259780,264406,269258,274231,279204,284391,289623,294945,300375,305840,311494,317171,322963,328948,334976,341027,347394,354037,360558,367200,373920,380848,387871,394895,401942,409055,416379,423843,431257,438491,446087,453546,461277,468937,476745,484564,492667,500841,508910,517136,525591,534052,542528,551227,559956,568737,577748,586852,596000,605326,614769,624319,634225,644320,654433,664632,674894,685414,696016,706978,718139,729654,741186,753048,764937,776904,788932,801328,814080,826862,839751,852842,865994,879121,892817,906387,920212,934241,948357,962587,977111,991523,1006342,1021269,1036379,1051554,1066849,1082158,1097759,1113548,1129334,1145236,1161269,1177377,1193608,1210206,1226640,1243191,1259840,1276631,1293757,1311191,1328592,1346113,1363818,1381694,1399769,1417847
1,1,1,1,1,1,3,5,5,5,6,9,9,10,10,10,11,11,11,12,14,18,19,21,24,28,32,34,36,40,45,55,67,79,82,93,107,117,131,138,147,160,166,182,196,206,218,228,241,250,270,279,288,305,316,332,345,359,380,386,400,415,431,448,461,480,491,506,521,533,548,559,572,583,593,600,612,621,629,640,654,665,675,691,704,724,734,744,760,769,785,796,805,819,831,839,853,873,884,899,913,929,946,958,977,992,1013,1032,1049,1061,1078,1091,1112,1135,1150,1167,1184,1199,1214,1227,1247,1257,1274,1296,1324,1342,1360,1376,1384,1404,1424,1444,1463,1477,1493,1512,1526,1543,1553,1571,1578,1596,1613,1632,1646,1666,1678,1688,1698,1706,1722,1737,1753,1760,1778,1794,1809,1823,1830,1852,1866,1879,1889,1904,1913,1929,1939,1952,1969,1988,2009,2028,2046,2065,2090,2099,2125,2142,2157,2170,2183,2197,2212,2225,2247,2261,2282,2294,2303,2321,2331,2344,2361,2376,2394,2404,2414,2429,2441,2452,2466,2476,2484,2497,2514,2531,2547,2560,2578,2592,2609,2619,2631,2645,2663,2674,2690,2703,2719,2735,2747,2755,2769,2784,2803,2821,2842,2852,2865,2879,2891,2912,2927,2952,2963,2981,2998,3012,3028,3043,3062,3075,3093,3112,3122,3130,3147,3159,3170,3182,3195,3206,3212,3229,3247,3257,3266,3279,3292,3302,3318,3327,3340,3349,3353,3373,3382,3393,3403,3415,3430,3443,3456,3471,3478,3489,3505,3522,3543,3557,3574,3589,3609,3633,3663,3689,3720,3744,3772,3802,3829,3851,3870,3911,3932,3965,3995,4036,4074,4094,4134,4169,4211,4234,4270,4311,4350,4393,4451,4493,4528,4570,4614,4654,4692,4733,4771,4813,4852,4887,4929,4974,5019,5055,5099,5136,5165,5213,5250,5285,5324,5372,5404,5448,5500,5549,5602,5645,5701,5753,5811,5845,5898,5948,5997,6058,6107,6165,6216,6276,6332,6406,6451,6506,6558,6610,6661,6722,6779,6827,6881,6942,6984,7025,7081,7139,7178,7229,7284,7340,7394,7459,7513,7568,7615,7673,7736,7800,7858,7921,7983,8032,8096,8165,8227,8290,8365,8441,8507,8580,8645,8719,8786,8864,8944,9026,9105,9199,9284,9376,9471,9568,9662,9786,9893,10010,10107,10229,10364,10529,10677,10846,11001,11151,11296,11464,11623,11773,11921,12066,12215,12360,12510,12634,12777,12913,13045,13191,13329,13488,13614,13764,13906,14010,14147,14277,14414,14552,14683,14838,14967,15116,15260,15392,15534,15704,15865,16025,16182,16375,16563,16758,16970,17170,17382,17614,17857,18089,18340,18604,18891,19170,19453,19772,20078,20365,20671,20969,21276,21578,21892,22231,22570,22906,23257,23620,24005,24375,24734,25110,25475,25877,26227,26622,27009,27414,27867,28318,28804,29276,29792,30382,30944,31532,32162,32816,33462
1,1,2,2,3,5,8,8,10,11,15,19,25,27,27,31,34,42,47,52,55,58,63,73,79,84,90,96,101,108,115,121,124,129,135,139,141,145,158,168,177,186,197,206,213,220,227,238,246,255,275,283,292,313,330,343,352,366,377,395,409,414,433,448,462,474,488,509,526,547,567,600,628,651,676,699,728,755,793,814,862,915,976,1040,1127,1205,1311,1424,1544,1667,1817,1959,2095,2241,2384,2504,2650,2785,2952,3135,3307,3471,3671,3878,4085,4252,4451,4633,4821,5001,5177,5406,5624,5829,6033,6255,6495,6727,6973,7245,7521,7802,8082,8396,8708,9048,9359,9693,10026,10342,10707,11063,11429,11802,12146,12520,12911,13310,13710,14169,14613,15099,15561,16080,16587,17172,17770,18380,19123,19849,20642,21463,22298,23169,24029,24948,25859,26711,27509,28362,29223,30100,30909,31734,32523,33273,34036,34790,35483,36188,36932,37681,38417,39147,39953,40696,41453,42206,43021,43812,44598,45425,46303,47176,48059,49000,49867,50790,51678,52593,53470,54352,55261,56260,57211,58234,59193,60215,61210,62222,63233,64366,65377,66487,67641,68766,69958,71128,72291,73460,74672,75933,77184,78453,79702,81017,82347,83708,85011,86377,87775,89250,90758,92286,93905,95517,97127,98821,100517,102237,104137,105994,107900,109829,111835,113882,116010,118053,120153,122294,124581,126797,129038,131420,133817,136264,138731,141327,143999,146569,149284,151934,154697,157488,160370,163173,166068,169021,172117,175097,178095,181285,184500,187848,191104,194462,198007,201482,205089,208776,212484,216344,220117,223883,227774,231872,235911,240128,244172,248453,252776,257228,261636,266046,270529,275114,279686,284292,288993,293781,298699,303618,308663,313758,318750,324009,329176,334468,339809,345403,351014,356666,362497,368273,374331,380447,386571,392895,399276,405883,412534,419356,425955,432750,439799,446824,454015,461400,468967,476707,484357,492091,500074,508104,515882,524061,532381,540648,549093,557857,566670,575652,584516,593536,602553,611882,621157,630651,640137,649710,659566,669360,679288,689047,699338,709702,720112,730738,741666,752577,763865,775231,786772,798564,810559,822580,834872,847389,860070,873012,885968,899335,912601,926159,939653,953500,967577,981926,996460,1010742,1025517,1040419,1055450,1070534,1085737,1101229,1116846,1132643,1148473,1164523,1180972,1197092,1213326,1229646,1246252,1263096,1280101,1296992,1314283,1331618,1349434,1367290,1385339,1403454,1422046,1440410,1459130,1478111,1497284,1516307,1535748,1555260,1575329,1595340,1615073,1635347,1655942,1676740,1697547,1718428,1739277,1760496,1781948,1803227,1824841,1846160,1867708,1889413,1911211,1933392,1955556,1978150,2000784,2023654,2046315,2069462,2092454,2115664,2138919,2162472,2186076,2209982,2233764,2257991,2281918,2306161,2330568,2355139,2379766,2404629,2429480,2454426,2479394,2504468,2529442,2554599,2579871,2605483,2631055,2656564,2682084,2707873,2733706,2759764,2785820,2812132,2838310,2864225,2890459,2916892,2943484,2970102,2996625,3023329,3049957,3076511,3103064,3129713,3156476,3183190,3210067,3236934,3263631,3291057,3318587,3345982,3373175,3400501,3427900,3455373,3482851,3510518,3538389,3565979,3593784,3621709,3649481,3676945,3704608,3732435,3760334,3788223,3815916,3843930,3871880,3899666,3927863
1,1,1,1,1,1,1,2,5,6,7,8,8,8,8,8,8,10,11,12,14,15,17,20,21,24,27,31,32,34,35,41,44,51,55,62,67,69,73,79,85,100,104,111,112,113,114,119,121,129,136,139,143,147,153,158,158,168,177,186,191,200,210,220,232,243,260,269,281,299,316,335,360,375,393,416,435,448,460,485,502,530,554,566,585,607,623,641,661,673,695,718,739,767,793,818,841,859,880,897,916,933,957,981,999,1015,1039,1061,1073,1086,1102,1123,1138,1157,1180,1196,1223,1246,1258,1268,1286,1309,1317,1338,1367,1382,1393,1407,1424,1449,1465,1487,1505,1515,1535,1546,1567,1578,1584,1602,1619,1629,1638,1653,1666,1679,1693,1706,1721,1732,1741,1752,1760,1773,1785,1796,1805,1820,1831,1843,1853,1857,1868,1872,1883,1892,1895,1906,1914,1922,1932,1939,1943,1946,1957,1962,1969,1981,1989,1995,1999,2002,2013,2019,2025,2030,2036,2043,2047,2055,2066,2075,2083,2091,2099,2104,2111,2122,2132,2142,2153,2166,2178,2190,2204,2211,2218,2229,2241,2257,2282,2299,2316,2335,2343,2355,2373,2390,2406,2423,2444,2459,2477,2490,2511,2529,2538,2558,2578,2594,2610,2626,2642,2663,2680,2693,2707,2721,2735,2753,2773,2791,2811,2831,2858,2868,2880,2900,2915,2934,2971,2995,3023,3041,3067,3088,3111,3130,3161,3189,3205,3231,3253,3274,3293,3309,3326,3346,3365,3395,3413,3442,3476,3522,3554,3582,3615,3648,3683,3711,3733,3768,3804,3839,3876,3918,3966,4013,4057,4105,4157,4206,4269,4330,4391,4443,4495,4566,4632,4683,4753,4818,4891,4955,5017,5071,5121,5190,5254,5314,5368,5420,5464,5514,5578,5658,5718,5769,5834,5886,5955,6012,6089,6176,6251,6323,6383,6448,6516,6596,6675,6758,6847,6924,6997,7090,7168,7259,7353,7455,7541,7629,7702,7789,7861,7935,8023,8101,8174,8253,8317,8383,8461,8535,8610,8686,8764,8836,8911,8989,9064,9127,9205,9281,9373,9463,9546,9629,9715,9789,9875,9972,10046,10125,10208,10311,10400,10492,10583,10678,10789,10877,10973,11073,11190,11306,11406,11531,11658,11794,11922,12025,12155,12314,12457,12608,12774,12926,13076,13223,13384,13554,13697,13838,13995,14135,14288,14433,14586,14721,14869,15000,15139,15287,15455,15606,15782,15954,16136,16341,16542,16749,17006,17268,17504,17757,18038,18319,18607,18873,19176,19448,19729,20021,20320,20615,20930,21212,21487,21784,22087,22433,22734,23058,23395,23742,24064,24402,24789,25149,25502,25890,26317,26768,27201,27652,28103,28574,29031,29517,30020,30566,31144,31715,32325,32940,33570,34195,34863,35506,36212,36907,37591,38288,39011,39769,40519,41300,42082,42866,43735,44611,45486,46342,47269,48176,49070,49969,50892,51885,52902,53888,54938,55987,57020,58077,59160
1,1,3,3,5,5,5,7,10,10,14,16,16,22,27,29,30,31,36,41,44,45,49,57,64,70,81,88,96,101,105,113,116,120,124,126,127,134,138,145,147,153,160,166,172,179,184,187,196,198,198,201,205,208,211,213,218,220,222,226,232,235,251,259,268,281,292,305,313,325,341,358,375,398,417,437,458,482,513,541,564,591,610,631,660,692,723,760,788,818,846,867,887,911,942,973,1001,1020,1046,1070,1106,1126,1147,1181,1217,1242,1284,1315,1346,1375,1397,1430,1457,1490,1522,1552,1596,1635,1670,1705,1740,1767,1823,1881,1924,1970,2025,2072,2125,2178,2243,2281,2330,2374,2426,2466,2506,2551,2590,2627,2662,2710,2762,2814,2849,2881,2931,2966,3009,3044,3078,3115,3161,3215,3252,3292,3316,3346,3370,3400,3430,3449,3485,3501,3529,3563,3599,3622,3650,3674,3691,3711,3731,3752,3774,3792,3813,3827,3853,3873,3894,3916,3939,3965,3976,3999,4023,4057,4085,4114,4143,4189,4220,4257,4292,4320,4367,4412,4459,4492,4533,4585,4620,4663,4692,4728,4787,4841,4891,4938,4979,5021,5058,5102,5138,5187,5225,5265,5314,5368,5407,5454,5501,5548,5604,5649,5688,5736,5780,5830,5876,5923,5978,6027,6069,6112,6168,6222,6274,6329,6381,6451,6503,6555,6603,6657,6709,6775,6842,6878,6926,6977,7045,7127,7196,7255,7321,7394,7458,7519,7586,7643,7697,7771,7843,7906,7969,8038,8100,8163,8239,8299,8373,8452,8508,8567,8627,8700,8769,8839,8902,8973,9044,9111,9185,9270,9347,9426,9506,9592,9693,9772,9868,9960,10046,10149,10225,10308,10395,10495,10591,10695,10784,10890,10982,11098,11224,11329,11426,11520,11622,11701,11824,11936,12034,12150,12272,12401,12522,12639,12772,12881,13000,13129,13248,13365,13471,13583,13707,13841,13973,14105,14222,14364,14520,14652,14784,14903,15018,15149,15282,15412,15560,15690,15839,15984,16117,16291,16432,16582,16742,16879,17070,17216,17379,17551,17715,17882,18061,18233,18385,18560,18791,18999,19204,19405,19593,19776,19975,20188,20400,20603,20819,21042,21260,21508,21729,21989,22201,22437,22674,22946,23205,23472,23736,23985,24215,24476,24705,24964,25248,25534,25806,26074,26313,26575,26888,27165,27486,27782,28075,28409,28729,29043,29337,29661,29970,30297,30587,30879,31219,31558,31874,32236,32567,32953,33318,33683,34061,34452,34841,35233,35630,36063,36497,36946,37405,37875,38357,38838,39328,39896,40425,41026,41588,42172,42756,43383,44037,44708,45346,46048,46756,47409,48011,48689,49406,50178,50966,51722,52500,53396,54249,55138,56032,56970,57944,58883,59847,60875,61820,62795,63836,64830,65933,66990,68111,69245,70392,71544,72712,73929,75185,76466,77760,79093,80432,81840,83235,84654,86141,87599,89096,90604,92150,93737,95288,96864,98542,100377,102160,104025,105799,107586,109347,111212,113107
1,1,1,1,1,1,1,1,1,4,4,6,6,8,8,8,9,9,9,10,12,13,16,21,29,37,43,45,49,53,57,58,65,71,74,78,84,91,99,104,107,111,117,122,131,135,140,143,149,155,164,169,173,179,188,196,200,202,215,221,225,227,234,246,251,256,261,269,272,277,279,284,285,290,296,300,306,309,311,315,318,321,326,335,343,346,350,353,355,364,377,385,391,404,413,422,428,442,459,469,473,480,492,505,515,526,544,560,575,585,599,607,616,621,639,651,660,675,686,693,703,716,727,735,747,755,763,768,772,780,791,799,811,825,832,849,857,868,876,884,895,917,926,940,950,964,973,987,995,1002,1011,1020,1033,1045,1056,1070,1081,1096,1113,1123,1137,1149,1156,1170,1187,1197,1214,1230,1239,1258,1272,1280,1292,1306,1324,1338,1357,1373,1390,1402,1422,1443,1469,1483,1492,1516,1535,1570,1594,1615,1632,1656,1681,1694,1720,1742,1769,1800,1831,1851,1875,1912,1935,1974,1996,2032,2072,2104,2138,2165,2207,2236,2262,2295,2322,2342,2373,2416,2457,2491,2538,2570,2614,2646,2700,2749,2783,2823,2866,2924,2961,3011,3066,3120,3165,3224,3274,3325,3376,3423,3472,3515,3567,3627,3694,3738,3785,3845,3894,3945,3999,4044,4102,4153,4220,4272,4348,4405,4469,4529,4597,4663,4726,4791,4867,4936,5017,5116,5201,5294,5384,5475,5581,5688,5775,5876,5987,6092,6191,6282,6408,6532,6644,6751,6873,7030,7154,7301,7455,7623,7781,7955,8097,8262,8462,8685,8925,9127,9349,9580,9824,10051,10315,10551,10803,11051,11297,11567,11836,12132,12421,12701,12973,13251,13534,13791,14083,14377,14635,14921,15231,15580,15866,16178,16510,16816,17143,17452,17775,18093,18432,18748,19092,19455,19828,20197,20546,20886,21249,21636,21991,22374,22757,23168,23580,23991,24442,24912,25331,25785,26210,26682,27172,27622,28130,28665,29182,29700,30231,30756,31342,31938,32600,33216,33892,34529,35219,35981,36725,37433,38242,39018,39827,40615,41453,42229,43063,43887,44701,45517,46381,47245,48110,49011,49899,50864,51776,52735,53710,54712,55690,56667,57690,58733,59773,60794,61888,63022,64130,65303,66455,67668,68814,70025,71222,72471,73755,75041,76304,77596,78902,80283,81737,83077,84542,86031,87545,89094,90639,92286,93930,95578,97335,99170,101017,102918,104793,106711,108714,110726,112655,114764,116942,119157,121543,123770,126145,128536,130956,133355,135848,138367,140979,143565,146095,148704,151355,154147,156895,159712,162471,165450,168395,171450,174482,177686,180824,184027,187255,190447,193841,197266,200800,204323,207890,211535,215171,218930,222816,226631,230695,234894,239044,243443,247852,252350,256955,261731,266546,271445,276431,281389,286485,291745,297070,302482,307997,313693,319352,325127,331077,337003,343121,349381,355633,361921,368315
1,1,1,1,1,2,3,3,3,4,5,7,8,8,8,10,10,12,13,15,16,16,17,20,25,28,30,32,33,37,42,47,49,55,64,68,75,81,83,92,100,107,110,119,127,137,146,154,158,165,171,179,187,200,212,232,244,257,273,280,299,310,321,332,341,356,363,383,399,413,434,453,474,490,515,532,548,566,585,602,619,632,646,660,680,699,730,767,797,825,844,862,898,917,950,984,1022,1053,1084,1128,1179,1219,1248,1288,1325,1374,1422,1477,1523,1586,1638,1709,1756,1814,1868,1933,2008,2082,2179,2261,2344,2434,2517,2604,2698,2809,2948,3118,3264,3420,3566,3715,3906,4092,4287,4487,4695,4904,5127,5383,5626,5850,6133,6375,6646,6902,7156,7426,7687,7954,8233,8507,8783,9058,9349,9641,9936,10257,10569,10848,11168,11511,11844,12181,12558,12951,13352,13743,14123,14554,14985,15405,15844,16337,16870,17358,17861,18378,18877,19418,19996,20524,21049,21663,22246,22831,23378,24046,24671,25359,26043,26732,27439,28144,28828,29546,30257,30995,31698,32420,33149,33842,34512,35283,35972,36710,37431,38176,38942,39755,40520,41247,42045,42794,43589,44370,45208,46045,46866,47756,48619,49521,50405,51308,52278,53289,54291,55355,56482,57661,58747,59906,61078,62290,63556,64849,66135,67575,69056,70446,71910,73415,74933,76527,78153,79735,81383,83008,84687,86459,88199,89994,91841,93642,95540,97409,99428,101458,103561,105619,107684,109721,111739,113898,116071,118266,120478,122656,124973,127293,129665,132192,134690,137276,139964,142523,145204,147931,150735,153574,156594,159592,162649,165659,168901,172090,175516,179040,182521,185998,189549,193253,197154,200975,204940,208986,212985,217233,221540,225948,230467,235158,239914,244692,249527,254469,259469,264615,269819,275151,280593,286114,291608,297372,303042,308837,314839,320845,327123,333433,339722,346168,352772,359482,366489,373533,380594,387765,395129,402567,410060,417672,425453,433426,441391,449607,457952,466402,475016,483668,492345,501103,510029,519086,528212,537395,546612,555815,565217,574657,584111,593655,603280,612810,622652,632853,642823,653190,663527,674075,684796,695658,706533,717623,728757,740062,751478,763050,774628,786173,798075,810092,822080,834157,846378,858993,871483,883984,896815,909779,922963,936363,949982,963568,977330,991319,1005444,1019613,1034077,1048785,1063572,1078681,1093761,1109029,1124778,1140300,1156026,1171924,1188053,1204343,1220496,1237068,1253490,1270008,1286900,1304163,1321345,1338667,1356219,1373856,1391355,1409263,1427225,1445106,1463243,1481402,1499611,1518042,1536462,1555076,1573838,1592607,1611465,1630749,1649800,1669374,1688683,1708040,1727644,1747620,1767381,1787528,1807614,1827705,1847827,1868319,1888837,1909511,1930320,1951059,1971845,1992940,2013933,2035214,2056522,2078093,2099537,2121364,2142900,2164806,2186486,2208532,2230905,2253087,2275410,2297743,2320620,2343340,2366080,2389097,2412135,2435242,2458722,2482063,2505589,2529302,2553021,2576973,2601132,2625332,2649710,2674276,2698942,2723651,2748642,2773522,2798746,2823868,2848996,2874445,2900012,2925501,2951389,2977261,3003378,3029220,3055241,3081304,3107583,3133826,3160099,3186655,3213227,3239996,3266630,3293399,3320255
1,1,3,4,5,7,10,10,12,14,15,18,20,23,24,27,32,35,43,44,48,55,60,66,70,72,77,82,84,87,92,97,106,113,121,128,138,143,156,164,174,181,196,226,245,267,294,314,341,367,386,413,443,479,509,537,566,601,632,663,705,734,770,814,853,885,927,962,995,1036,1059,1083,1111,1147,1175,1209,1257,1301,1335,1367,1403,1435,1477,1523,1569,1610,1662,1712,1766,1831,1877,1940,2001,2062,2121,2184,2242,2293,2349,2400,2472,2534,2595,2661,2719,2787,2855,2922,2990,3059,3136,3206,3268,3344,3431,3506,3585,3667,3758,3834,3918,4002,4111,4208,4326,4406,4505,4608,4752,4893,5031,5176,5333,5511,5672,5846,6039,6241,6464,6675,6892,7106,7306,7558,7816,8047,8344,8580,8841,9099,9350,9625,9886,10150,10462,10758,11070,11398,11685,12024,12361,12723,13114,13531,13923,14305,14686,15130,15540,15951,16390,16886,17370,17898,18444,19011,19565,20148,20777,21389,22025,22673,23328,23972,24609,25295,26001,26694,27415,28069,28793,29498,30205,30892,31666,32393,33138,33943,34755,35560,36392,37239,38171,39078,40038,41049,42003,42966,44030,45032,46138,47208,48403,49637,50855,52089,53379,54733,56035,57379,58798,60262,61764,63284,64815,66417,68097,69810,71515,73208,75003,76838,78692,80518,82387,84198,86117,88135,90177,92161,94182,96239,98303,100459,102642,104844,107200,109523,111835,114209,116691,119179,121730,124302,126895,129573,132061,134760,137459,140223,143020,145876,148765,151734,154659,157647,160697,163839,166998,170201,173463,176902,180265,183790,187268,190956,194627,198369,202162,206046,209990,213904,218046,222255,226433,230754,235090,239659,244142,248910,253867,258744,263604,268456,273561,278697,283954,289189,294532,300089,305558,310953,316591,322294,328147,334028,339917,345702,351686,357692,363796,370062,376433,382635,388988,395572,401979,408688,415461,422228,429163,436114,443255,450341,457645,465131,472622,480064,487832,495450,503185,511030,518987,527117,535349,544060,552613,561375,570065,578806,587852,596878,606120,615622,625207,634908,644659,654536,664819,675020,685683,696350,707090,717980,728955,739917,750991,762278,773810,785501,797452,809389,821576,833627,846003,858811,871764,884618,897559,910901,924336,938112,951890,965936,980239,994775,1009524,1024570,1039571,1054843,1070178,1085827,1101566,1117323,1133293,1149547,1165910,1182545,1199432,1216083,1233099,1250429,1267857,1285569,1303312,1321287,1339557,1357663,1375998,1394600,1413120,1431753,1450270,1468964,1488180,1507075,1526493,1545830,1565157,1584582,1604327,1624007,1643852,1664006,1684118,1704351,1724798,1745197,1765513,1786127,1806789,1827658,1848760,1870071,1891577,1913070,1934666,1956817,1978829,2001013,2023596,2046340,2069369,2092497,2115702,2139100,2162528,2186205,2210192,2234079,2258028,2282002,2306193,2330367,2354900,2379207,2403425,2427911,2452334,2476706,2501214,2525742,2550565,2575234,2600205,2625058,2649925,2674801,2699722,2724590,2749611,2774736,2799750,2824791,2849766,2875093,2900236,2925623,2950981,2976504,3002031,3027930,3053199,3078508,3104036,3129514,3155533,3181501,3207055,3233202,3259362,3285283,3311352,3337708,3364035,3390112,3416428,3442853,3469507,3496090,3522946,3549745,3576610,3603768,3631087,3658139,3685572
1,1,1,4,4,7,9,13,13,14,14,14,15,15,17,20,24,26,27,29,31,34,36,41,45,50,54,57,61,63,69,76,84,92,94,101,103,107,115,121,123,129,133,142,145,147,152,157,161,164,167,170,174,177,184,190,195,198,201,205,211,213,220,222,230,236,242,248,252,257,273,279,293,299,314,322,338,354,366,382,393,403,421,432,443,459,476,484,498,515,531,537,553,566,589,604,626,643,662,689,713,727,744,767,787,815,841,878,920,954,1008,1058,1106,1165,1221,1299,1361,1445,1505,1582,1650,1720,1794,1855,1921,2002,2055,2131,2215,2303,2360,2439,2511,2561,2632,2684,2744,2811,2895,2965,3047,3134,3222,3320,3454,3583,3726,3882,4023,4202,4365,4560,4738,4916,5115,5306,5514,5719,5903,6089,6298,6539,6758,6965,7197,7464,7714,7974,8194,8462,8740,9007,9250,9492,9723,9973,10220,10487,10769,11061,11327,11625,11921,12243,12549,12865,13192,13550,13909,14295,14732,15136,15499,15857,16243,16649,17056,17422,17870,18259,18678,19088,19511,19917,20322,20760,21191,21562,21942,22322,22721,23140,23543,23955,24409,24856,25309,25756,26212,26731,27209,27769,28284,28820,29373,29953,30486,31065,31642,32231,32899,33558,34188,34821,35457,36136,36822,37518,38233,38958,39715,40447,41247,42008,42821,43608,44383,45168,45976,46736,47532,48369,49262,50151,51020,51887,52832,53719,54628,55601,56553,57573,58578,59703,60827,61963,63024,64211,65490,66737,68007,69328,70624,71956,73317,74684,76085,77660,79120,80718,82289,83822,85384,87041,88663,90451,92198,93999,95809,97708,99655,101653,103599,105642,107690,109756,111828,113906,116005,118140,120389,122602,124952,127391,129880,132364,134915,137541,140143,142836,145537,148375,151277,154243,157144,160201,163283,166337,169540,172905,176404,180036,183684,187483,191346,195260,199345,203481,207645,211923,216203,220668,225063,229504,234079,238643,243433,248074,252945,257795,262686,267733,272719,277841,282904,288093,293345,298623,303977,309597,315309,321096,326823,332709,338858,345001,351360,357671,364187,370656,377187,383820,390509,397334,404322,411294,418377,425618,432959,440688,448135,456020,463955,471817,480021,488241,496486,504953,513606,522281,531054,540056,549228,558468,567924,577342,587086,596810,606718,616763,626982,637350,647882,658675,669587,680850,692066,703483,715159,726758,738686,750834,762956,775140,787404,799949,812652,825447,838483,851682,864859,878020,891341,905078,918740,932480,946352,960531,974752,988838,1003333,1018014,1033016,1048011,1063073,1078500,1094188,1110105,1126003,1142089,1158653,1175450,1192222,1209181,1226328,1243485,1261009,1278859,1297000,1315140,1333389,1351800,1370385,1389056,1407977,1427094,1446592,1466177,1485756,1505419,1525052,1544946,1564927,1585020,1605478,1626069,1646688,1667755,1688663,1709875,1731055,1752130,1773603,1795350,1816935,1838842,1860802,1882744,1904887,1927472,1949965,1972442,1995094,2018006,2040986,2064095,2087297,2110673,2134080,2157606,2181237,2205036,2229071,2252989,2277075,2301362,2325647,2349953,2374398,2399017,2423900,2448470,2473364,2498228,2523503,2548503,2573761
1,1,1,1,4,6,7,8,9,9,12,12,12,12,12,12,12,12,12,12,13,13,14,14,14,15,16,17,17,17,17,19,19,19,19,22,22,27,32,34,37,40,46,48,50,54,58,62,65,68,71,73,76,76,79,83,86,87,92,99,104,110,113,117,122,124,129,133,135,138,146,149,152,155,160,164,166,171,173,176,180,184,186,188,190,191,195,196,200,202,202,202,203,208,213,216,220,223,227,231,233,240,249,257,259,264,277,285,289,295,301,309,314,317,331,342,349,354,366,368,375,383,393,403,409,413,423,431,440,450,463,465,469,476,486,493,495,506,511,523,528,532,542,549,553,565,570,576,582,589,594,596,604,612,615,619,623,628,634,641,647,653,665,673,679,684,689,695,700,710,721,725,730,733,740,747,755,759,764,775,779,785,792,802,809,817,828,836,846,852,859,872,881,891,900,904,912,917,926,939,950,960,971,979,986,992,995,1002,1009,1020,1031,1041,1055,1065,1083,1095,1104,1117,1127,1140,1153,1165,1180,1196,1212,1222,1235,1247,1255,1264,1278,1290,1301,1329,1346,1354,1381,1398,1423,1442,1459,1476,1490,1512,1528,1557,1579,1607,1628,1639,1660,1680,1703,1724,1744,1780,1797,1824,1846,1877,1906,1935,1963,1984,2015,2039,2083,2133,2168,2215,2254,2292,2330,2364,2400,2441,2481,2520,2554,2608,2641,2684,2717,2760,2796,2828,2867,2907,2960,3002,3048,3087,3129,3173,3207,3258,3296,3351,3412,3464,3509,3553,3618,3671,3741,3805,3863,3932,3999,4072,4155,4218,4272,4369,4448,4521,4617,4709,4779,4869,4942,5040,5137,5243,5346,5436,5549,5670,5785,5878,5976,6101,6201,6327,6457,6594,6711,6838,6957,7076,7214,7361,7499,7648,7782,7915,8044,8177,8302,8456,8622,8784,8928,9093,9267,9435,9659,9837,10074,10280,10490,10702,10940,11171,11401,11662,11895,12172,12435,12729,12968,13232,13516,13815,14111,14421,14758,15091,15385,15720,16062,16442,16867,17258,17713,18176,18673,19158,19625,20135,20639,21146,21709,22314,22929,23532,24161,24828,25443,26069,26779,27520,28313,29097,29970,30839,31732,32623,33607,34533,35505,36443,37375,38392,39393,40442,41476,42534,43669,44733,45839,47012,48085,49239,50401,51576,52756,54027,55196,56452,57659,58988,60285,61646,63029,64409,65703,67064,68465,69998,71512,73072,74654,76251,77845,79428,81136,82714,84503,86274,88083,89829,91657,93424,95362,97293,99256,101284,103330,105282,107319,109404,111580,113793,116061,118419,120695,122992,125432,127787,130162,132589,134966,137485,140040,142588,145173,147679,150280,152909,155618,158255,160972,163672,166471,169316,172137,175085,177927,180823,183806,186822,189948,192976,196069,199345,202600
1,1,1,1,1,1,3,4,5,7,8,9,10,14,15,16,18,21,27,31,36,37,43,45,51,55,61,65,70,77,80,86,89,95,98,104,109,111,112,116,119,121,123,128,134,136,141,144,150,151,154,156,157,162,165,169,169,171,172,174,177,180,180,181,182,182,183,186,188,190,195,198,198,198,199,199,200,200,202,202,206,206,207,210,211,211,212,214,217,218,223,223,224,224,228,235,235,238,242,248,252,255,258,263,265,270,275,280,282,287,293,298,303,305,311,320,328,330,335,341,343,347,350,357,361,366,374,377,385,389,392,402,412,418,423,428,435,437,440,447,451,456,459,464,467,471,478,484,487,493,501,502,507,511,520,526,530,536,545,556,561,564,567,575,584,592,602,608,611,618,624,631,636,643,650,657,660,666,671,675,680,687,692,698,704,707,713,718,724,727,734,737,742,747,748,755,762,765,770,774,777,782,792,798,804,808,818,827,830,838,843,848,861,872,876,884,894,899,908,914,921,928,934,940,945,952,958,965,970,974,982,996,1005,1014,1017,1018,1026,1030,1034,1039,1043,1049,1053,1058,1063,1068,1075,1080,1087,1096,1102,1111,1119,1124,1132,1138,1149,1152,1162,1171,1178,1200,1219,1234,1254,1269,1282,1321,1368,1402,1473,1546,1633,1719,1817,1922,2030,2124,2233,2351,2457,2565,2663,2775,2854,2943,3010,3096,3181,3296,3396,3496,3623,3759,3908,4067,4212,4392,4587,4751,4939,5139,5326,5531,5762,5977,6200,6397,6585,6774,6923,7097,7267,7438,7642,7797,7979,8154,8279,8469,8648,8829,9017,9207,9400,9562,9737,9943,10096,10291,10467,10670,10852,11043,11215,11355,11546,11708,11900,12121,12301,12516,12727,12943,13169,13396,13617,13850,14063,14288,14491,14689,14911,15114,15365,15561,15793,16038,16239,16458,16669,16879,17099,17339,17617,17860,18106,18364,18621,18904,19200,19495,19803,20108,20419,20714,21035,21309,21605,21945,22279,22578,22917,23215,23539,23861,24194,24578,24919,25277,25649,26039,26423,26818,27212,27574,27951,28327,28737,29117,29508,29909,30274,30644,31019,31386,31787,32179,32566,32956,33287,33639,33992,34359,34733,35139,35536,35967,36386,36794,37179,37567,37976,38389,38829,39262,39727,40187,40690,41160,41676,42182,42702,43172,43715,44240,44754,45278,45779,46318,46901,47448,47971,48495,49085,49623,50170,50729,51314,51929,52501,53108,53734,54349,55004,55659,56274,56965,57643,58338,59058,59805,60606,61372,62187,63014,63805,64710,65575,66431,67267,68169,69119,70090,71068,72069,73110,74215,75291,76461,77659,78857,80078,81345,82628,83943,85195,86495,87927,89347,90778,92258,93666,95181,96618,98210,99749
1,1,2,2,5,7,9,11,11,12,14,15,17,19,24,27,29,34,38,40,41,43,50,53,57,60,69,73,75,77,83,89,93,100,104,107,109,113,120,123,125,126,135,139,142,145,150,154,157,162,169,170,171,173,177,183,188,192,198,202,204,209,212,218,226,229,231,240,245,254,263,266,269,273,279,285,295,306,314,322,325,345,354,363,374,389,409,422,445,461,480,494,510,524,551,576,604,621,640,663,679,699,719,747,771,786,810,830,853,873,887,902,929,950,967,972,992,1011,1034,1053,1070,1086,1103,1121,1143,1158,1173,1189,1202,1219,1236,1252,1265,1280,1302,1320,1343,1360,1384,1409,1431,1454,1484,1510,1539,1564,1593,1624,1647,1684,1713,1753,1793,1827,1870,1900,1930,1957,1991,2031,2098,2148,2215,2281,2357,2432,2529,2619,2698,2791,2890,3002,3101,3208,3309,3421,3552,3648,3739,3848,3950,4078,4180,4286,4426,4561,4727,4888,5094,5272,5485,5674,5909,6128,6336,6549,6796,7079,7340,7594,7850,8146,8407,8658,8934,9194,9471,9770,10070,10348,10654,10905,11188,11477,11761,12001,12300,12558,12868,13152,13458,13750,14031,14307,14576,14832,15115,15410,15690,15946,16250,16566,16818,17073,17364,17637,17900,18195,18454,18737,19000,19248,19541,19843,20102,20377,20666,20927,21183,21460,21749,22040,22296,22564,22851,23162,23438,23720,24003,24292,24652,24992,25326,25719,26063,26436,26839,27248,27694,28118,28548,28978,29433,29891,30406,30933,31421,32006,32519,33111,33637,34224,34831,35420,35976,36592,37196,37826,38483,39151,39820,40497,41178,41842,42494,43183,43875,44556,45244,45926,46634,47282,48000,48742,49481,50264,51066,51893,52703,53515,54413,55294,56241,57205,58204,59217,60259,61280,62434,63514,64650,65750,66962,68224,69435,70782,72144,73479,74773,76090,77490,78835,80316,81750,83152,84560,86022,87544,89083,90608,92132,93739,95354,96980,98658,100276,101965,103734,105551,107377,109290,111296,113295,115384,117445,119633,121790,124051,126355,128759,131058,133460,135865,138295,140796,143334,145854,148439,151112,153831,156660,159483,162290,165268,168164,171074,174159,177169,180326,183493,186807,190193,193513,196944,200464,204069,207739,211581,215519,219516,223514,227573,231700,236012,240342,244885,249341,253865,258578,263373,268100,272868,277700,282733,287730,292876,298168,303457,308803,314097,319496,325077,330902,336678,342481,348596,354770,361079,367200,373611,380062,386621,393374,400111,407141,414132,421180,428450,435610,442961,450529,458187,465963,473813,481991,490151,498523,506990,515551,524172,533004,541790,550773,559923,569237,578861,588696,598471,608486,618452,628640,638879,649249,659814,670567,681265,692031,703000,713810,724803,735829,747124,758581,770108,781545,793427,805346,817425,829685,842158,854650,867576,880466,893670,906705,919953,933489,947016,960820,974553,988227,1002430,1016759,1031200,1045645,1060274,1075091,1090096,1105015,1120086,1135182,1150578,1166262,1182078,1197847,1213426,1229291
1,1,1,1,1,5,8,13,15,17,17,22,24,30,36,40,45,50,55,59,61,67,73,83,89,99,105,107,112,115,121,126,127,130,137,142,142,146,148,152,155,160,163,171,175,178,180,181,181,184,185,187,189,192,195,196,201,205,210,211,212,215,220,230,236,238,245,250,253,259,264,272,278,285,288,298,310,321,332,339,344,356,370,381,393,404,411,418,438,447,457,472,480,497,513,518,531,540,553,563,578,588,605,610,625,634,647,654,668,682,690,706,723,736,748,761,772,788,805,821,833,843,855,871,885,895,912,920,944,960,975,995,1008,1020,1031,1042,1060,1075,1085,1096,1108,1123,1134,1145,1164,1173,1187,1203,1212,1223,1230,1237,1248,1254,1270,1276,1282,1294,1298,1308,1316,1321,1333,1342,1352,1363,1375,1385,1395,1407,1415,1426,1435,1449,1464,1480,1490,1498,1506,1515,1535,1545,1557,1564,1578,1586,1593,1601,1613,1626,1629,1642,1648,1656,1665,1676,1689,1699,1707,1713,1727,1734,1740,1748,1758,1766,1777,1783,1793,1800,1812,1819,1828,1833,1839,1846,1859,1871,1883,1896,1907,1928,1942,1971,2003,2033,2061,2113,2166,2220,2294,2398,2521,2644,2794,2939,3096,3260,3427,3589,3752,3931,4107,4256,4431,4589,4763,4926,5083,5291,5465,5670,5903,6188,6472,6753,7072,7407,7742,8123,8499,8862,9233,9586,9974,10343,10763,11116,11484,11842,12242,12636,13007,13402,13765,14154,14534,14881,15243,15654,16075,16492,16953,17361,17813,18290,18806,19285,19775,20263,20772,21202,21662,22167,22636,23109,23597,24085,24592,25096,25605,26141,26747,27389,27989,28691,29383,30108,30905,31717,32550,33378,34252,35143,36059,36992,37918,38905,39789,40699,41592,42535,43388,44271,45220,46149,47055,47957,48857,49771,50759,51764,52744,53761,54786,55782,56842,57929,59003,60121,61254,62424,63540,64751,65907,67049,68243,69428,70683,71950,73296,74653,76063,77544,78967,80368,81870,83374,84934,86413,87964,89500,91051,92555,94141,95708,97289,98848,100488,102180,103859,105476,107086,108740,110368,111976,113678,115337,117052,118870,120619,122381,124198,126023,127904,129778,131789,133743,135780,137895,140043,142219,144476,146721,149023,151516,154103,156657,159314,162025,164787,167648,170613,173542,176619,179696,182879,186230,189479,192903,196307,199819,203382,206873,210526,214245,217979,221713,225501,229236,232970,236857,240901,244912,249083,253250,257493,261804,266231,270815,275369,280185,285021,289892,294937,299949,305124,310415,315583,321002,326396,331835,337391,342915,348414,354187,360033,366076,372034,378242,384469,390856,397319,403819,410495,417351,424231,431431,438610,445832,453331,460831,468650,476687,484775,493047,501452,509901,518256,526761,535315,544006,553016,562095,571195,580480,589790,599198,608703,618190,627765,637602,647703,657821,667890,678237,688424,698547,708888,719494,730043,740805,751847,762875,774261,785481,796735
1,1,1,1,1,2,4,6,8,9,14,15,16,19,21,27,29,30,32,33,37,39,43,49,54,62,65,68,70,73,81,86,89,91,99,108,112,118,123,126,132,136,142,148,153,155,162,167,172,174,184,191,197,203,207,212,221,232,243,252,260,269,279,289,293,299,310,323,336,342,350,355,366,378,394,403,415,429,442,455,467,476,489,507,522,534,554,576,592,614,633,664,700,724,748,773,799,830,860,897,926,948,981,1020,1049,1089,1129,1166,1209,1242,1275,1318,1360,1396,1441,1490,1529,1563,1604,1653,1680,1719,1759,1801,1843,1875,1910,1950,1981,2025,2051,2085,2120,2152,2179,2216,2254,2291,2330,2360,2386,2417,2448,2474,2508,2542,2587,2618,2655,2697,2733,2768,2793,2830,2872,2905,2949,2991,3035,3075,3125,3170,3208,3242,3278,3311,3357,3397,3443,3485,3529,3568,3615,3655,3709,3763,3817,3869,3927,3979,4043,4107,4148,4216,4271,4324,4390,4442,4505,4574,4651,4714,4791,4862,4936,5017,5097,5179,5267,5360,5448,5519,5612,5694,5788,5886,5961,6049,6140,6241,6331,6419,6519,6608,6708,6791,6857,6952,7043,7162,7262,7350,7448,7543,7651,7763,7862,7959,8075,8180,8313,8419,8529,8662,8768,8910,9039,9171,9304,9436,9561,9702,9831,9956,10114,10256,10397,10539,10692,10818,10964,11105,11241,11402,11564,11702,11855,12006,12152,12290,12428,12578,12731,12882,13020,13140,13288,13433,13569,13723,13885,13996,14122,14277,14447,14612,14784,14942,15099,15274,15436,15618,15827,16025,16232,16429,16610,16846,17100,17326,17596,17829,18097,18389,18670,18968,19268,19553,19887,20212,20550,20915,21303,21686,22052,22432,22782,23173,23539,23914,24314,24690,25077,25532,25926,26337,26795,27192,27562,28004,28440,28888,29360,29813,30293,30772,31292,31797,32298,32847,33334,33891,34470,34986,35559,36123,36680,37244,37813,38414,39021,39655,40311,40935,41597,42277,42961,43686,44420,45113,45833,46613,47365,48118,48881,49706,50528,51349,52198,53013,53903,54761,55745,56735,57755,58785,59837,60870,61995,63123,64262,65388,66557,67781,69033,70221,71351,72637,73932,75218,76606,77970,79330,80703,82095,83500,84972,86484,88148,89736,91401,93108,94777,96592,98398,100195,101937,103818,105700,107610,109622,111587,113595,115639,117681,119774,121901,124104,126323,128549,130859,133116,135483,137898,140359,142826,145261,147652,150287,152911,155610,158265,160890,163750,166656,169526,172532,175498,178505,181607,184667,187904,191195,194438,197804,201324,204891,208373,211905,215656,219437,223256,227016,231027,234933,239053,243231,247601,251979,256661,261367,266006,270741,275489,280522,285627,290859,296072,301414,306817,312298,317816,323483,329258,335061,340863,346966,352950,359065,365327,371566,377982,384418,390919,397531,404340,411244,418219,425227,432327,439736,447340,455138,462904,470773,478831,486895,495152,503402,511873,520685,529272,538110,547003,555912,564887,574025
1,1,1,1,4,5,5,7,7,7,9,9,10,11,11,13,14,18,19,21,22,25,29,29,31,31,33,35,37,43,47,51,52,59,65,67,69,75,80,88,93,97,100,107,108,114,117,122,132,139,148,155,165,175,184,188,192,211,217,222,231,237,247,258,275,280,289,301,312,325,335,351,362,380,392,400,415,435,450,458,468,488,501,515,533,542,561,575,600,633,658,685,711,729,742,760,778,804,825,854,886,911,951,995,1037,1071,1105,1147,1182,1209,1241,1289,1333,1369,1418,1465,1510,1557,1609,1654,1703,1762,1819,1882,1928,1982,2048,2119,2177,2246,2311,2371,2437,2510,2577,2637,2705,2771,2848,2913,2985,3058,3127,3201,3282,3361,3434,3510,3604,3679,3762,3854,3937,4034,4128,4233,4354,4463,4596,4702,4824,4940,5070,5190,5353,5524,5667,5826,5994,6146,6321,6478,6678,6895,7119,7355,7604,7854,8102,8352,8636,8912,9201,9533,9852,10189,10535,10880,11237,11606,11978,12378,12781,13203,13630,14079,14521,15032,15546,16114,16683,17302,17925,18612,19274,19925,20601,21269,22020,22751,23520,24296,25084,25909,26728,27563,28454,29345,30294,31273,32309,33335,34384,35443,36549,37662,38858,40031,41274,42540,43787,44972,46257,47590,48908,50227,51569,52936,54344,55745,57109,58522,59983,61484,62950,64461,66017,67577,69203,70829,72462,74098,75659,77305,78995,80708,82425,84193,86043,87870,89790,91761,93751,95714,97722,99770,101814,103911,106198,108408,110588,112866,115070,117451,119881,122353,124787,127256,129720,132253,134945,137547,140197,142935,145763,148722,151733,154798,157896,161101,164433,167873,171351,174807,178377,181999,185638,189462,193294,197338,201341,205395,209535,213822,218166,222541,227155,231731,236364,241298,246117,251178,256341,261469,266753,272083,277534,283245,288868,294732,300673,306665,312787,318882,325210,331700,338404,345023,351810,358644,365511,372598,379712,387049,394308,401870,409520,417093,424960,432797,440865,448860,457076,465575,474156,482725,491380,500420,509429,518726,528041,537235,546829,556431,566136,576097,586124,596250,606475,616875,627395,637835,648485,659177,670082,681334,692586,703724,715164,726732,738447,750013,762090,774331,786722,799217,811879,824623,837213,850152,863258,876785,890287,904099,918011,932102,946077,960439,975076,989865,1004524,1019782,1035242,1050708,1066260,1082079,1097901,1113951,1130176,1146400,1162863,1179350,1195866,1212534,1229511,1246538,1263818,1281260,1298671,1316435,1334407,1352341,1370257,1388479,1407013,1425467,1444096,1463092,1482282,1501643,1521317,1541033,1560992,1580833,1600998,1621220,1641566,1662379,1683398,1704556,1725761,1747180,1768588,1790393,1812303,1834275,1856724,1879097,1901877,1924390,1947686,1971032,1994426,2017642,2041185,2064955,2088851,2112885,2136942,2161110,2185502,2209864,2234587,2259146,2283723,2308444,2333411,2358366,2383863,2409565,2434924,2459980,2485571,2511207,2536947,2562925,2588625,2614391,2640235,2666367,2692483,2718683,2744916,2771343,2797842,2824528,2851273,2878184,2905181,2932197,2959534,2986832,3014123,3041650,3069079,3096781,3124303,3152298,3179956,3208108,3236015,3264315,3292559,3320701,3349094,3376972,3405214
1,1,1,1,3,5,7,8,9,10,12,13,15,18,20,20,22,23,23,29,33,41,55,65,70,75,79,85,91,98,102,105,110,121,124,133,141,147,157,165,172,183,189,189,196,205,216,219,229,236,244,251,258,265,274,283,285,287,296,301,309,319,323,335,345,353,359,364,370,377,381,389,396,404,409,414,419,436,444,449,453,461,469,480,485,490,494,502,512,519,526,535,541,547,558,566,574,584,587,593,600,605,611,619,621,624,629,634,644,649,654,665,671,678,686,691,696,701,709,715,718,725,735,739,744,747,752,756,764,768,769,775,781,784,789,794,798,803,809,813,817,819,819,826,830,839,846,850,853,854,857,858,860,868,871,877,886,895,901,913,928,939,949,960,972,991,1013,1037,1058,1086,1123,1153,1196,1231,1273,1303,1331,1370,1415,1448,1486,1525,1565,1588,1625,1664,1705,1740,1779,1812,1854,1896,1928,1970,2015,2059,2104,2139,2181,2219,2281,2338,2405,2477,2552,2623,2701,2789,2872,2955,3029,3117,3198,3279,3371,3458,3549,3634,3720,3792,3875,3959,4034,4103,4171,4249,4326,4394,4462,4541,4610,4680,4732,4808,4892,4968,5036,5107,5182,5274,5358,5436,5534,5624,5722,5843,5952,6066,6183,6326,6460,6598,6723,6868,7013,7160,7312,7484,7635,7811,7985,8145,8316,8497,8694,8873,9059,9262,9465,9648,9864,10055,10277,10501,10708,10951,11185,11398,11619,11855,12112,12345,12609,12890,13145,13418,13696,13942,14224,14504,14804,15086,15374,15662,15937,16222,16520,16822,17114,17430,17700,17962,18249,18531,18829,19107,19434,19716,20007,20329,20643,20938,21246,21537,21868,22230,22635,23054,23497,23937,24392,24914,25436,25989,26514,27037,27600,28150,28708,29281,29852,30420,31012,31570,32163,32737,33355,33906,34487,35117,35785,36415,37089,37796,38566,39347,40139,40920,41788,42640,43527,44429,45349,46298,47256,48238,49274,50346,51499,52597,53711,54896,56004,57247,58472,59745,61021,62230,63470,64818,66121,67483,68851,70240,71641,73032,74470,75905,77352,78906,80482,82109,83688,85329,87096,88900,90709,92612,94486,96476,98473,100527,102600,104790,107035,109212,111439,113681,116020,118430,120975,123475,126100,128790,131569,134309,137140,139960,142805,145744,148672,151675,154715,157807,160944,164123,167357,170448,173630,176887,180179,183530,186997,190479,193957,197595,201155,204898,208687,212482,216399,220406,224403,228515,232631,236855,241022,245301,249615,254101,258652,263316,267893,272650,277411,282331,287360,292361,297574,302748,308103,313558,319325,325012,330738,336463,342289,348244,354414,360797,367284,373893,380695,387411,394400,401443,408720,415972,423310,430687,438285,446067,453989,462039,470321,478818,487331,495986,504881,513877,523224,532604,542102,551723,561516,571460,581500,591751,602086,612901,623524,634284,645192,656277,667472,678747,690396
1,1,2,2,5,7,9,14,17,21,25,25,26,29,30,33,40,46,51,55,63,67,71,79,88,96,104,115,124,135,141,149,158,164,173,187,198,205,223,228,234,238,245,254,262,272,280,291,299,305,319,327,338,352,362,376,383,393,410,419,428,437,446,453,460,474,491,506,519,540,556,561,565,584,597,613,625,630,639,646,655,664,674,687,694,700,707,716,734,748,768,778,786,798,814,827,842,850,862,878,898,921,940,960,971,988,998,1012,1028,1043,1063,1083,1091,1104,1124,1140,1160,1181,1199,1223,1250,1275,1299,1326,1346,1362,1386,1410,1435,1450,1476,1505,1534,1553,1592,1629,1664,1701,1733,1780,1812,1854,1898,1948,2006,2056,2101,2147,2199,2252,2295,2355,2431,2492,2558,2629,2698,2766,2841,2930,3029,3128,3215,3312,3409,3510,3594,3704,3814,3913,4037,4125,4258,4380,4485,4591,4719,4852,4975,5103,5250,5410,5568,5713,5893,6030,6197,6357,6534,6736,6977,7205,7436,7661,7901,8123,8377,8641,8914,9160,9451,9738,10055,10327,10631,10904,11192,11487,11821,12090,12409,12742,13080,13416,13752,14085,14439,14815,15182,15570,15984,16397,16782,17197,17622,18037,18455,18918,19399,19823,20283,20763,21223,21710,22191,22701,23162,23710,24261,24823,25407,25956,26534,27108,27705,28333,28943,29600,30200,30835,31475,32151,32826,33506,34226,34983,35754,36553,37383,38208,39132,40045,40966,41903,42869,43927,44963,45892,46920,47958,49026,50163,51259,52355,53503,54636,55872,57017,58284,59517,60827,62109,63372,64687,66048,67385,68799,70261,71740,73256,74720,76193,77663,79268,80824,82436,84073,85578,87257,89013,90726,92494,94248,96160,98019,99923,101786,103748,105832,107886,109945,112065,114248,116382,118656,121059,123430,125840,128317,130771,133291,135830,138439,141139,143889,146612,149403,152398,155382,158371,161532,164628,167721,170932,174115,177427,180793,184174,187667,191186,194812,198444,202241,206083,209818,213843,217813,221808,225907,230070,234450,238893,243330,247952,252643,257535,262315,267276,272298,277313,282480,287742,293056,298474,303955,309661,315205,321018,326868,332611,338567,344566,350597,356755,362947,369150,375618,382069,388519,395141,401681,408344,415108,422014,428840,436072,443253,450586,457872,465201,472731,480339,488002,495941,503861,512081,520221,528456,536698,545182,553930,562633,571568,580587,589698,598885,608311,617819,627416,637302,647207,657181,667316,677650,688148,698686,709474,720202,731148,742169,753467,764914,776498,787881,799574,811479,823564,835935,848592,861099,873831,886613,899700,912898,926147,939723,953498,967504,981535,995977,1010332,1025150,1039906,1054977,1070316,1085755,1101548,1117238,1133388,1149553,1165684,1181829,1197957,1214252,1231201,1247774,1264488,1281198,1298647,1315970,1333466,1351217,1368997,1387145,1405726,1424399,1443016,1461843,1481051,1500420,1520159,1539839,1559724,1579663,1599816,1619880,1639840,1660093,1680278,1700696,1721232,1742046,1762925,1783776,1804733,1825758,1847184,1868342,1890076,1911960,1934059,1956207,1978361,2000646,2023140,2045623,2068505
1,1,1,3,5,8,10,10,14,15,17,20,22,25,29,31,33,36,39,40,41,48,54,58,61,67,69,74,75,82,87,93,95,101,104,109,113,116,120,121,123,124,130,138,148,154,158,161,166,172,179,180,188,192,208,218,228,242,257,269,285,295,314,334,344,352,363,388,405,420,438,455,481,498,527,548,568,595,616,639,674,722,757,793,842,894,937,991,1044,1094,1132,1179,1229,1296,1349,1414,1460,1510,1573,1633,1693,1751,1810,1879,1947,2023,2098,2174,2252,2314,2394,2478,2546,2645,2713,2806,2890,2970,3056,3154,3261,3364,3470,3572,3664,3789,3892,3973,4084,4197,4316,4452,4604,4738,4892,5044,5197,5373,5513,5633,5782,5917,6076,6222,6378,6555,6719,6873,7013,7170,7326,7463,7600,7774,7955,8127,8312,8502,8673,8873,9045,9229,9412,9587,9762,9990,10214,10445,10648,10872,11131,11333,11530,11740,11950,12186,12404,12643,12889,13096,13315,13522,13750,13979,14219,14457,14688,14923,15170,15408,15705,15997,16286,16584,16896,17196,17487,17783,18078,18410,18755,19102,19493,19828,20191,20583,20994,21421,21854,22301,22758,23203,23728,24171,24655,25144,25676,26179,26710,27243,27752,28263,28790,29358,29953,30567,31150,31768,32351,32944,33560,34150,34747,35373,36017,36720,37331,37961,38651,39302,39953,40684,41395,42114,42868,43613,44323,45060,45810,46595,47384,48260,49122,49997,50884,51869,52830,53820,54828,55839,56882,57989,59117,60379,61590,62888,64177,65546,66928,68243,69616,71060,72493,73965,75493,77007,78518,80050,81667,83344,84986,86703,88526,90324,92147,94059,96070,98110,100089,102112,104229,106441,108669,111049,113452,115931,118420,120765,123326,125824,128410,131007,133613,136270,138877,141579,144280,146936,149767,152686,155415,158227,161146,164146,167277,170289,173336,176384,179641,183040,186325,189620,192964,196319,199810,203471,207111,210757,214411,218204,222012,225911,229914,234022,238012,242169,246439,250628,255009,259342,263671,268142,272654,277244,281969,286725,291553,296501,301462,306589,311761,317004,322424,327784,333296,338945,344463,350271,356196,362315,368507,374756,381030,387320,393946,400641,407555,414454,421372,428538,435669,442890,450248,457733,465343,473037,481012,488980,497046,505372,513496,521774,530231,538832,547664,556650,565794,575231,584733,594354,604089,614031,624236,634587,645028,655534,666508,677345,688204,699367,710715,722064,733582,745286,756978,768990,781026,793319,805561,818283,831015,843667,856714,870015,883113,896573,910120,923888,937728,951849,965945,980420,995148,1009959,1024925,1040167,1055421,1070743,1086261,1101983,1117957,1133847,1149602,1165932,1182215,1198623,1215037,1231800,1248310,1265108,1281822,1299185,1316623,1333847,1351523,1369209,1387249,1405491,1423793,1442226,1461025,1479826,1498485,1517774,1537151,1556516,1576291,1595870,1615798,1635882,1655875,1676427,1697100,1718218,1739307,1760644,1782091,1804074,1825941,1848050,1869946,1892120,1914763,1937185,1960240,1983059,2005985,2029009,2052106,2075534,2098746,2122233,2145962,2169543,2193344,2217461,2241537,2265570,2289817,2314294,2338976,2363886,2388856,2413674,2438782,2463889,2489302
1,1,1,1,1,1,2,3,3,5,5,6,6,7,9,10,15,16,18,19,25,29,33,37,39,46,49,53,61,66,73,82,85,89,94,94,100,108,111,121,127,131,135,139,144,153,160,164,169,173,182,184,185,191,199,200,202,209,215,220,222,229,234,240,243,251,260,272,283,285,293,301,312,321,327,337,345,362,369,379,395,409,428,440,455,478,495,523,560,598,641,683,740,802,887,964,1052,1119,1220,1295,1386,1464,1557,1643,1727,1839,1944,2029,2128,2256,2374,2479,2604,2752,2893,3019,3136,3299,3459,3619,3778,3906,4041,4210,4364,4543,4710,4868,5035,5216,5386,5574,5740,5897,6065,6247,6423,6592,6764,6937,7124,7319,7527,7753,7949,8154,8363,8608,8818,9043,9242,9445,9656,9870,10085,10306,10523,10752,10979,11201,11418,11625,11836,12076,12280,12475,12678,12879,13093,13305,13546,13765,13987,14217,14464,14688,14918,15192,15426,15686,15952,16215,16503,16810,17140,17471,17791,18138,18499,18876,19253,19620,19976,20343,20732,21119,21526,21996,22443,22923,23399,23838,24328,24817,25303,25821,26388,26954,27477,28050,28652,29223,29788,30283,30813,31363,31932,32485,33024,33576,34081,34542,35070,35579,36091,36638,37164,37688,38153,38668,39153,39691,40197,40740,41223,41726,42248,42731,43235,43750,44309,44840,45420,45928,46441,46956,47458,47950,48508,49072,49681,50268,50868,51490,52108,52740,53342,53975,54608,55259,55903,56580,57275,57932,58598,59247,59941,60634,61374,62156,62940,63679,64465,65243,66063,66831,67658,68510,69419,70301,71171,72081,73043,74055,75046,76028,76994,78042,79106,80146,81183,82243,83312,84433,85661,86963,88232,89519,90857,92128,93476,94957,96363,97838,99299,100759,102109,103509,104978,106468,107941,109527,111080,112649,114283,115897,117541,119195,120803,122424,124040,125754,127499,129221,131018,132843,134658,136531,138411,140349,142340,144470,146531,148636,150664,152774,154910,157103,159375,161643,164050,166502,168922,171442,173941,176534,179211,181971,184588,187316,190084,192908,195952,198900,201801,204844,207917,211112,214219,217480,220806,224101,227519,230836,234245,237623,241073,244696,248394,252083,255701,259456,263193,267016,270959,274863,278788,282734,286863,290921,294993,299086,303268,307524,311870,316310,320804,325326,330002,334724,339314,344121,348804,353883,358857,363961,369101,374461,379776,385153,390561,396099,401840,407722,413548,419528,425697,431979,438374,444905,451442,458131,464793,471666,478672,485600,492758,499955,507165,514484,521889,529408,537153,544976,552712,560564,568631,576851,585132,593499,602036,610612,619417,628358,637411,646404,655538,664787,674096,683577,693248,702819,712791,722679,732690,742858,753093,763443,774177,784661,795369,806459,817628,828972,840185,851985,863483,875365,887214,899238,911306,923698,936351,948972,961851,974551,987243,1000492,1013786,1026953,1040355,1053635,1067224,1080923,1094853,1108836,1122920,1137140,1151809,1166260,1181086,1195991,1210991,1226305,1241457,1256948,1272711,1288456,1304635,1320549,1336561,1352943,1369270,1385788,1402538,1419539,1436583
1,1,1,1,1,1,1,3,3,3,3,5,5,5,7,8,11,11,13,13,13,13,18,20,22,27,30,31,31,35,38,40,41,45,51,54,60,65,69,77,82,85,90,96,108,118,130,145,165,183,201,225,246,271,294,313,342,365,393,415,435,473,506,543,578,606,638,671,715,758,795,829,869,914,965,1025,1090,1151,1208,1269,1350,1437,1514,1610,1706,1794,1897,2000,2093,2176,2266,2387,2498,2615,2721,2870,3013,3132,3269,3385,3519,3651,3761,3896,4033,4175,4304,4462,4611,4786,4978,5157,5366,5581,5789,6025,6247,6472,6706,6996,7271,7565,7901,8217,8557,8905,9259,9628,9993,10406,10802,11145,11516,11907,12328,12740,13121,13520,13935,14380,14816,15230,15714,16169,16594,17059,17515,17961,18400,18840,19312,19813,20319,20835,21338,21859,22400,22907,23440,24006,24541,25101,25652,26225,26791,27338,27909,28493,29077,29665,30262,30883,31532,32159,32861,33556,34203,34885,35582,36303,37026,37773,38495,39250,40037,40836,41621,42428,43271,44178,45068,45951,46850,47682,48573,49476,50359,51258,52165,53056,53965,54935,55877,56895,57943,58954,60049,61183,62322,63447,64601,65798,66960,68208,69347,70474,71699,72925,74207,75430,76704,78051,79373,80710,82090,83453,84886,86374,87877,89412,90925,92469,94038,95720,97407,99178,100929,102816,104704,106551,108531,110478,112490,114548,116675,118807,120924,123135,125377,127635,129874,132146,134512,136886,139298,141772,144250,146798,149347,151969,154646,157259,159999,162796,165698,168602,171637,174685,177799,181029,184256,187551,190940,194461,197858,201376,205030,208549,212103,215923,219924,223869,227750,231672,235535,239662,243622,247698,251938,256257,260604,265029,269608,274330,278935,283587,288398,293209,298153,303198,308155,313473,318795,324406,330002,335699,341460,347459,353432,359587,365871,372352,378667,385181,392162,399100,406023,413165,420387,427605,434916,442283,450028,457893,465763,473720,481723,489851,498033,506344,514696,523212,531974,540725,549520,558310,567381,576475,585815,595190,604804,614312,624100,633845,643710,653706,664133,674474,684809,695116,705959,716804,727797,738765,749910,761241,772448,784162,795857,807699,819741,831906,844335,856844,869316,881967,894737,907676,920741,933909,947289,960850,974700,988684,1002771,1016966,1031329,1045989,1060827,1075644,1090827,1106038,1121502,1136984,1152732,1168745,1184982,1201205,1217466,1234196,1250853,1267790,1284670,1301816,1319052,1336405,1353795,1371225,1388711,1406406,1424138,1442171,1460183,1478141,1496426,1514787,1533546,1552209,1571211,1590046,1609314,1628953,1648865,1668761,1688919,1709373,1730082,1751020,1772067,1793351,1814496,1836029,1857529,1879360,1901172,1922915,1944959,1966615,1988850,2011091,2033462,2055744,2078317,2100789,2123553,2146651,2169515,2192238,2215163,2238428,2261555,2284967,2308742,2332151,2355695,2379592,2403166,2427177,2450920,2474659,2498764,2523242,2547561,2571939,2596441,2620981,2645814,2670518,2695366,2720433,2745828,2770955,2796380,2821798,2847485,2873201,2899063,2924788,2950800,2976589,3002749,3028942,3055130,3081467,3107833,3134522,3161509,3188244,3215115,3241912,3268665,3295656,3322238,3349161,3376253,3403500,3430576,3458147,3485549,3513165,3540720,3567925,3595353,3622894,3650776,3678789,3706894
1,1,1,1,5,5,5,6,9,10,13,18,18,19,23,27,29,30,33,37,39,42,46,48,50,52,52,53,59,61,65,69,76,79,87,90,93,101,110,113,122,125,128,133,139,147,152,163,171,175,189,197,209,221,228,243,259,271,286,301,312,326,335,350,365,376,394,412,428,441,454,475,493,512,527,550,566,583,594,613,627,645,661,675,689,701,719,734,742,761,768,792,809,820,836,848,861,872,886,898,912,928,950,977,1001,1018,1034,1056,1075,1108,1132,1158,1183,1204,1232,1244,1266,1296,1325,1356,1380,1417,1447,1476,1500,1521,1547,1566,1598,1624,1648,1667,1696,1716,1742,1763,1776,1798,1814,1829,1844,1865,1881,1900,1912,1925,1952,1978,1992,2010,2027,2045,2057,2075,2087,2100,2112,2134,2150,2167,2183,2197,2210,2221,2242,2259,2273,2289,2295,2312,2322,2332,2355,2360,2380,2400,2413,2425,2440,2454,2466,2488,2516,2543,2565,2581,2607,2632,2648,2669,2690,2712,2726,2745,2768,2782,2803,2822,2851,2880,2906,2934,2962,2980,3003,3031,3051,3077,3109,3140,3166,3201,3226,3266,3289,3313,3349,3384,3417,3448,3484,3516,3548,3578,3619,3672,3717,3758,3799,3838,3884,3910,3945,3987,4028,4073,4109,4137,4174,4213,4253,4288,4322,4356,4388,4414,4447,4488,4522,4551,4583,4623,4656,4694,4726,4757,4782,4819,4856,4895,4922,4961,5005,5047,5088,5119,5162,5216,5252,5295,5341,5381,5425,5473,5519,5567,5634,5683,5737,5809,5871,5949,6009,6073,6135,6205,6302,6389,6460,6541,6629,6703,6771,6850,6931,7033,7123,7189,7287,7387,7463,7561,7642,7732,7808,7926,8015,8109,8212,8329,8418,8510,8603,8702,8809,8908,9005,9121,9235,9341,9457,9540,9641,9741,9842,9944,10050,10166,10284,10434,10571,10700,10851,10992,11149,11293,11445,11598,11758,11919,12083,12246,12424,12594,12783,12950,13122,13318,13500,13695,13884,14080,14263,14483,14677,14890,15079,15270,15438,15649,15850,16092,16321,16520,16735,16960,17202,17432,17690,17925,18195,18458,18715,18983,19312,19580,19905,20224,20523,20881,21212,21558,21920,22302,22662,23015,23402,23806,24201,24660,25051,25453,25905,26315,26762,27234,27693,28146,28626,29123,29620,30107,30638,31181,31732,32354,32948,33552,34171,34825,35461,36172,36845,37537,38185,38918,39651,40393,41199,41991,42757,43580,44447,45253,46115,46989,47886,48780,49684,50628,51602,52593,53604,54633,55586,56593,57644,58622,59613,60647,61650,62674,63704,64789,65910,67072,68174,69264,70412,71560,72804,73968,75132,76361,77581,78813,80037,81351,82616,83981,85290,86622,88001,89386,90901,92379,93826,95385,96875,98380,99936,101529,103207,104799,106549,108333,110105,111928,113795,115688,117608,119661,121600,123634,125672,127773,129922,132167,134349,136637,138999,141286,143620,145904,148342,150853,153330
1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,5,6,6,6,8,9,10,10,11,11,11,13,13,13,13,13,13,13,13,14,14,16,17,17,17,17,18,20,20,20,20,21,21,22,22,24,26,29,30,32,34,36,37,40,40,40,40,41,42,45,47,49,55,59,60,63,67,68,72,75,79,84,86,89,90,94,100,103,105,109,118,120,123,123,126,132,135,140,141,144,151,153,158,166,171,176,181,185,188,191,197,203,205,210,221,228,234,242,251,255,263,268,274,277,282,290,296,302,308,312,317,320,328,334,340,343,349,353,359,363,365,369,373,378,383,386,390,396,400,403,404,411,413,416,420,422,428,431,436,442,447,449,450,457,461,467,481,492,500,507,518,526,534,541,547,558,565,574,579,586,597,605,614,626,640,649,662,676,684,690,701,704,710,721,738,746,759,767,778,787,796,801,811,821,828,835,843,855,859,868,876,883,892,897,907,918,931,939,943,950,957,965,974,986,1001,1017,1028,1041,1057,1068,1073,1081,1089,1090,1102,1110,1118,1128,1138,1144,1159,1171,1182,1192,1205,1214,1219,1222,1226,1232,1241,1244,1260,1267,1280,1290,1298,1309,1321,1331,1334,1348,1357,1370,1378,1390,1400,1412,1423,1433,1448,1463,1478,1498,1510,1518,1533,1546,1557,1569,1579,1587,1604,1616,1626,1637,1655,1673,1687,1705,1716,1744,1769,1784,1805,1823,1852,1867,1889,1911,1939,1963,1984,2007,2035,2058,2078,2110,2131,2156,2177,2212,2238,2260,2281,2325,2350,2372,2404,2432,2463,2509,2541,2579,2619,2658,2688,2721,2756,2786,2825,2856,2887,2927,2963,2996,3026,3069,3106,3138,3179,3209,3238,3271,3306,3333,3374,3403,3427,3463,3491,3529,3562,3594,3617,3646,3694,3724,3761,3796,3835,3873,3919,3966,4014,4077,4147,4209,4261,4329,4395,4469,4540,4631,4737,4848,4971,5119,5283,5436,5628,5830,6054,6265,6470,6678,6908,7151,7357,7598,7808,8025,8230,8451,8671,8919,9102,9316,9528,9731,9936,10137,10348,10542,10751,10961,11162,11390,11634,11892,12126,12378,12611,12876,13128,13368,13621,13910,14191,14481,14771,15082,15414,15739,16043,16369,16719,17056,17425,17814,18171,18591,18988,19402,19816,20203,20606,21088,21521,22002,22458,22913,23369,23835,24349,24878,25407,25978,26538,27148,27725,28322,28946,29587,30230,30883,31529,32220,32910,33657,34458,35233,36008,36821,37671,38540,39470,40407,41362,42338,43332,44337,45380,46503,47525,48574,49654,50727,51803,52958,54126,55335,56561,57769,59072,60391,61741,63050,64388,65729,67136,68610,70072,71620
1,1,1,1,2,2,2,3,5,5,5,5,7,8,9,9,9,9,9,9,9,9,10,11,13,14,14,15,17,18,19,19,21,24,25,26,27,31,34,34,36,37,42,45,48,48,51,52,53,59,62,67,71,72,76,83,91,96,102,103,108,118,120,124,127,129,135,138,141,146,149,156,159,162,168,171,179,183,189,192,196,200,203,205,209,212,215,218,220,226,230,235,238,244,245,250,255,261,264,272,278,285,287,295,300,305,308,311,320,325,331,341,343,349,355,364,371,380,387,391,405,417,425,432,441,460,472,482,489,503,522,544,570,600,635,659,692,719,757,802,840,875,904,941,974,1010,1050,1098,1137,1180,1223,1257,1305,1361,1400,1433,1476,1510,1554,1588,1622,1655,1715,1759,1805,1857,1915,1980,2060,2127,2214,2312,2401,2503,2611,2715,2815,2936,3039,3144,3249,3368,3484,3604,3697,3809,3904,4003,4088,4186,4294,4382,4463,4550,4636,4745,4846,4963,5063,5158,5266,5395,5517,5665,5805,5957,6102,6254,6409,6557,6715,6860,7015,7136,7275,7432,7560,7698,7829,7975,8096,8220,8353,8479,8605,8738,8856,8982,9101,9220,9331,9457,9579,9700,9803,9929,10051,10169,10280,10400,10532,10665,10784,10930,11081,11215,11357,11492,11611,11722,11847,12016,12174,12343,12493,12648,12807,12979,13128,13286,13430,13594,13766,13953,14119,14305,14482,14675,14845,15015,15182,15361,15550,15748,15939,16173,16374,16572,16772,16993,17218,17420,17652,17905,18140,18378,18631,18884,19148,19399,19681,19949,20213,20526,20790,21099,21366,21671,21960,22261,22555,22891,23236,23601,23950,24299,24634,25020,25439,25800,26210,26635,27045,27438,27843,28282,28729,29171,29624,30036,30476,30944,31398,31858,32277,32722,33172,33654,34139,34609,35067,35591,36041,36534,37067,37589,38139,38680,39242,39777,40347,40959,41552,42159,42774,43429,44053,44680,45322,46003,46650,47328,48040,48800,49591,50369,51113,51940,52744,53648,54533,55480,56485,57533,58563,59686,60806,61984,63195,64446,65746,67037,68299,69717,71052,72445,73966,75488,76965,78520,79984,81505,83136,84718,86339,87937,89588,91271,93006,94712,96474,98258,100029,101925,103789,105711,107633,109702,111753,113888,115982,118197,120307,122509,124739,127031,129288,131565,133858,136203,138687,141137,143595,146051,148533,151177,153855,156553,159293,162150,164964,167874,170785,173820,176965,180177,183328,186461,189805,193182,196601,200074,203755,207237,210910,214601,218338,222068,225994,229906,233928,238075,242106,246550,250869,255237,259702,264053,268589,273131,277841,282572,287393,292085,297120,302219,307421,312666,318062,323483,328976,334514,340126,345752,351423,357014,362907,368663,374534,380707,386859,393148,399545,405871,412393,418906,425711,432527,439457,446558,453697,460969,468440,476129,483733,491548,499727,507943,516248,524560,533256,541930,550733,559597,568479,577666,586827
1,1,1,1,1,1,1,1,2,3,5,5,5,8,10,12,12,12,12,12,13,14,16,17,17,22,24,24,25,27,28,30,31,34,35,35,36,40,42,43,43,45,47,53,60,63,66,69,71,71,74,76,77,79,83,85,89,90,93,94,96,103,105,108,108,111,114,117,120,126,131,137,143,145,156,157,163,169,172,182,185,195,199,204,206,214,222,227,233,241,252,263,273,283,288,296,300,307,315,326,334,344,347,351,362,367,377,384,394,401,410,414,421,431,436,442,447,453,458,463,468,473,479,485,490,498,509,514,523,535,539,542,548,551,554,556,562,566,571,576,583,586,597,601,607,609,612,619,623,628,636,649,655,659,667,674,680,689,697,707,714,721,731,743,750,757,767,775,784,791,798,804,812,821,829,840,845,850,861,868,872,878,881,886,896,900,907,915,921,926,933,942,948,954,956,963,970,982,986,989,992,1003,1011,1016,1022,1029,1034,1042,1048,1056,1068,1077,1085,1095,1107,1117,1124,1133,1142,1149,1160,1173,1185,1199,1213,1215,1230,1244,1253,1266,1279,1296,1309,1327,1341,1353,1372,1401,1426,1448,1466,1485,1505,1528,1542,1563,1577,1598,1625,1647,1667,1689,1708,1724,1738,1758,1781,1799,1814,1829,1845,1861,1880,1893,1909,1926,1942,1958,1980,2000,2017,2037,2054,2078,2094,2115,2133,2146,2167,2180,2196,2214,2229,2249,2267,2282,2298,2320,2334,2355,2373,2386,2395,2407,2426,2442,2452,2466,2480,2501,2514,2524,2534,2556,2564,2576,2593,2609,2626,2638,2646,2653,2667,2679,2687,2701,2721,2739,2752,2767,2781,2798,2819,2838,2848,2863,2883,2900,2918,2929,2944,2949,2962,2982,3013,3038,3055,3093,3111,3146,3171,3200,3240,3275,3310,3354,3373,3405,3432,3476,3519,3553,3609,3658,3694,3726,3770,3818,3855,3885,3930,3981,4030,4079,4121,4168,4203,4269,4315,4372,4435,4504,4573,4630,4710,4768,4839,4906,4969,5036,5096,5165,5245,5317,5388,5451,5512,5575,5636,5694,5742,5790,5843,5895,5942,5997,6053,6083,6122,6159,6187,6224,6254,6291,6327,6357,6397,6429,6454,6490,6523,6556,6579,6615,6653,6689,6714,6741,6772,6806,6835,6875,6915,6945,6986,7022,7055,7098,7143,7203,7260,7299,7353,7421,7487,7544,7615,7682,7765,7830,7905,7974,8061,8133,8204,8275,8361,8456,8545,8640,8727,8809,8899,8990,9097,9195,9285,9411,9521,9625,9736,9855,9978,10124,10266,10385,10520,10682,10836,10989,11169,11353,11549,11745,11960,12166,12399,12646,12873,13119,13334,13606,13869,14101,14377,14609,14875,15158,15404,15704,15993,16303,16567,16851,17229,17590,17928
1,1,1,1,1,1,2,2,3,3,3,4,4,4,6,6,6,6,6,8,8,10,12,12,13,13,13,15,16,18,19,20,21,21,21,21,21,21,22,23,23,25,25,25,26,27,29,30,30,33,33,33,34,34,35,38,41,42,43,47,48,50,52,56,59,62,64,68,70,74,79,88,91,99,103,111,118,120,127,135,140,146,151,155,165,176,184,193,202,213,222,231,242,263,280,298,309,325,336,347,368,388,411,445,474,497,518,551,577,616,644,691,727,780,817,850,881,920,957,999,1046,1095,1153,1193,1246,1304,1356,1417,1462,1515,1578,1634,1706,1797,1884,1959,2033,2110,2174,2253,2339,2425,2517,2586,2661,2747,2825,2892,2961,3029,3102,3180,3255,3308,3378,3448,3522,3589,3634,3700,3759,3800,3858,3911,3980,4039,4100,4160,4223,4289,4360,4421,4488,4540,4598,4663,4736,4813,4877,4941,5007,5084,5161,5231,5304,5379,5450,5519,5593,5671,5747,5817,5901,5970,6072,6144,6212,6287,6369,6451,6531,6624,6717,6840,6958,7069,7186,7320,7430,7562,7707,7850,7978,8131,8258,8389,8509,8636,8758,8896,9024,9175,9297,9440,9556,9716,9866,9994,10171,10329,10511,10695,10888,11070,11274,11474,11714,11961,12217,12439,12678,12910,13187,13463,13737,13990,14249,14545,14828,15100,15440,15729,16045,16339,16644,16955,17281,17584,17887,18234,18577,18946,19285,19643,20005,20406,20767,21205,21620,22043,22477,22890,23348,23793,24225,24715,25219,25726,26220,26747,27274,27794,28329,28900,29485,30058,30662,31265,31873,32535,33174,33818,34449,35164,35872,36545,37241,37996,38732,39522,40331,41114,41945,42766,43575,44409,45287,46139,47004,47945,48885,49813,50805,51807,52760,53740,54802,55881,56999,58098,59212,60366,61493,62652,63933,65222,66509,67855,69203,70538,71908,73234,74670,76135,77642,79150,80670,82167,83734,85390,87079,88702,90290,92060,93776,95541,97361,99191,101138,103011,104925,106915,108886,110876,112984,115194,117304,119473,121690,124015,126372,128681,131096,133647,136209,138842,141502,144206,146890,149686,152508,155344,158267,161239,164161,167061,170107,173321,176478,179857,183212,186619,190002,193477,197102,200622,204117,207918,211570,215296,219065,223011,226992,231083,235320,239637,244085,248690,253382,258108,262948,267884,272926,277963,283211,288558,293990,299486,305027,310488,316317,322181,327997,333978,340186,346454,352691,359009,365525,371918,378677,385363,392426,399526,406715,413919,421573,429164,436780,444674,452719,460987,469567,478021,486601,495464,504431,513713,523201,532785,542369,552092,562018,572200,582562,592782,603158,613859,624739,635436,646441,657249,668199,679250,690415,701545,713261,724749,736482,748197,760181,772276,784572,797014,809544,822443,835495,848658,862061,875471,889053,902888,917047,931150,945577,960344,975107,990168,1005226,1020584,1036145,1051790,1067534,1083438,1099422,1115796,1132094,1148676,1165678,1182665,1199839,1217035,1234555,1252202,1270103,1288094,1306088
1,1,2,5,5,5,6,7,7,8,8,9,9,9,9,9,10,11,11,11,11,11,12,13,13,13,13,13,16,17,19,20,20,25,27,30,33,38,46,51,58,58,60,63,71,76,82,85,92,97,99,99,101,108,114,121,125,133,138,140,145,150,153,158,163,167,167,170,179,186,190,194,199,210,214,225,234,242,252,261,273,281,288,296,305,322,338,349,361,367,381,388,391,402,409,420,430,434,447,460,466,478,491,501,508,515,520,528,533,545,557,562,568,574,584,592,609,618,628,636,644,654,662,669,677,694,701,707,715,728,739,750,757,763,772,784,794,805,815,826,838,843,859,865,877,887,895,906,919,926,934,941,952,960,972,984,993,1006,1014,1018,1028,1040,1053,1062,1070,1082,1089,1096,1107,1116,1122,1127,1135,1140,1150,1167,1181,1188,1194,1205,1213,1219,1229,1238,1252,1260,1271,1288,1302,1311,1321,1332,1354,1363,1373,1397,1409,1423,1442,1459,1483,1495,1510,1538,1553,1575,1606,1628,1661,1676,1701,1723,1747,1769,1794,1821,1856,1873,1888,1910,1937,1955,1977,1997,2031,2057,2081,2109,2142,2171,2201,2252,2295,2362,2414,2474,2546,2596,2659,2725,2785,2851,2934,3009,3058,3118,3190,3250,3311,3384,3434,3489,3533,3586,3656,3736,3815,3870,3942,4022,4119,4202,4287,4378,4471,4588,4691,4799,4908,5008,5095,5203,5306,5397,5497,5595,5703,5811,5907,6000,6108,6207,6285,6390,6488,6576,6685,6799,6886,6989,7092,7216,7327,7446,7567,7688,7808,7948,8068,8198,8329,8456,8604,8745,8902,9045,9205,9359,9517,9672,9848,9981,10144,10336,10496,10685,10883,11043,11207,11400,11600,11801,11998,12220,12399,12610,12816,13055,13292,13522,13741,13991,14256,14513,14777,15027,15271,15528,15844,16134,16421,16694,16982,17270,17541,17868,18179,18483,18824,19168,19492,19851,20234,20585,20952,21336,21708,22107,22502,22923,23392,23818,24284,24717,25208,25680,26177,26673,27192,27714,28268,28783,29281,29820,30444,31016,31624,32166,32767,33325,33956,34593,35216,35864,36498,37200,37860,38537,39232,39917,40675,41408,42116,42899,43618,44392,45251,46084,46968,47858,48759,49679,50620,51497,52428,53439,54440,55441,56482,57582,58745,59921,61075,62193,63414,64635,65891,67112,68360,69612,70911,72267,73590,74849,76204,77513,78849,80204,81615,83016,84463,85950,87461,89011,90580,92252,93938,95641,97344,99143,101042,102994,104893,106844,108894,111000,113058,115174,117319,119572,121907,124260,126696,129202,131839,134490,137242,140002,142896,145831,148863,151960,155095,158121,161251,164355,167590,170924,174328,177715,181118,184677,188274,191919,195745,199630,203542,207474,211492,215617,219695,223938,228077,232392,236697,241020,245446,249917,254407,258894,263440,268093,272760,277461,282391,287286,292205
1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,6,7,10,12,14,15,15,16,19,19,22,25,27,28,36,38,48,53,55,59,66,74,82,90,100,107,113,119,129,135,144,150,159,170,177,180,185,192,197,204,205,211,215,226,233,242,247,261,266,272,276,287,296,301,307,314,317,322,331,341,346,356,361,372,378,384,391,398,403,424,433,439,446,451,466,471,479,493,506,511,518,527,540,548,559,570,577,594,605,612,622,632,645,661,672,683,692,707,719,735,741,751,759,770,780,795,806,812,824,841,855,864,881,896,911,934,956,974,993,1011,1024,1041,1061,1072,1090,1109,1120,1141,1160,1171,1191,1203,1216,1237,1252,1268,1293,1311,1335,1359,1380,1399,1426,1450,1473,1491,1515,1538,1560,1579,1604,1632,1662,1695,1728,1756,1785,1815,1854,1895,1934,1992,2047,2112,2173,2241,2291,2372,2446,2520,2593,2655,2716,2785,2853,2930,3005,3080,3151,3224,3282,3340,3414,3486,3557,3617,3699,3773,3853,3934,4013,4067,4150,4231,4292,4358,4452,4534,4623,4718,4809,4912,5021,5143,5261,5383,5509,5625,5744,5886,6042,6187,6344,6487,6634,6779,6944,7085,7237,7379,7521,7663,7823,7964,8097,8240,8408,8559,8710,8885,9050,9208,9374,9526,9711,9883,10072,10239,10438,10632,10817,11027,11244,11455,11665,11898,12140,12393,12624,12885,13139,13408,13650,13912,14189,14489,14774,15074,15363,15677,16006,16325,16682,17005,17379,17762,18157,18547,18942,19339,19742,20206,20693,21186,21680,22170,22692,23282,23842,24437,25089,25696,26334,27012,27724,28421,29171,29931,30687,31480,32311,33159,34059,35037,35955,36904,37910,38955,39945,40985,42035,43131,44249,45400,46640,47905,49172,50392,51720,53038,54427,55829,57290,58736,60202,61748,63320,64906,66525,68138,69783,71456,73160,74809,76544,78355,80169,82014,83863,85769,87753,89635,91546,93552,95566,97640,99611,101714,103886,106044,108286,110501,112801,115076,117502,120009,122583,125164,127833,130563,133468,136352,139339,142375,145465,148690,151903,155190,158687,162224,165851,169625,173505,177292,181142,185140,189238,193457,197676,202082,206504,210976,215513,220245,225033,229866,234775,239812,244836,250004,255284,260664,266131,271671,277439,283123,289115,295199,301309,307412,313847,320418,327011,333588,340281,347124,354058,361057,368092,375237,382358,389546,396993,404555,412216,419856,427854,435951,444020,452178,460632,469108,477766,486649,495732,504795,513979,523392,532810,542428,552189,562139,572196,582435,592724,602997,613402,623863,634511,645436,656481,667953,679289,690906,702580,714317,726173,738249,750470,763003,775627,788097,801189,814039,827214,840563,853826,867530,881234,895204,909207,923656,938175,952765,967666,982668,997749,1012978,1028378,1044134,1060032,1075660,1091769,1108032,1124477,1140928,1157654,1174298,1190912,1207744,1224984,1242298,1259661,1277232,1294838,1312428,1330149,1348039,1365965,1384333,1402764,1421187
1,1,3,3,4,5,5,5,5,6,8,8,9,10,10,10,12,15,20,21,23,25,29,30,35,40,43,51,55,60,61,65,67,73,75,82,85,93,106,115,119,121,127,133,138,138,139,139,147,156,159,161,165,170,174,181,188,195,201,204,208,208,212,215,222,225,227,228,230,231,235,239,242,242,243,246,248,254,255,259,262,264,267,272,276,279,282,287,292,294,298,302,309,315,316,326,332,339,347,355,362,368,375,383,388,395,402,407,412,421,433,441,449,456,461,472,483,493,504,517,521,526,537,550,558,567,581,597,607,613,619,623,635,641,648,656,663,670,678,684,691,694,697,704,711,718,724,729,738,742,745,753,756,764,769,771,780,785,790,798,810,823,829,839,847,856,869,872,877,885,890,893,898,903,911,914,918,919,930,935,940,946,948,955,959,963,965,967,973,976,980,986,992,996,999,1007,1013,1021,1025,1035,1035,1037,1039,1045,1049,1053,1064,1076,1079,1087,1093,1104,1113,1119,1128,1136,1149,1160,1172,1182,1198,1213,1230,1245,1255,1272,1284,1300,1319,1336,1347,1358,1369,1390,1412,1429,1446,1469,1483,1500,1518,1538,1560,1586,1611,1625,1644,1665,1691,1717,1735,1761,1788,1808,1838,1858,1885,1912,1934,1949,1969,1987,2016,2044,2069,2094,2110,2138,2168,2207,2232,2265,2294,2323,2358,2395,2421,2453,2488,2530,2568,2603,2637,2676,2709,2750,2782,2833,2870,2904,2943,2981,3012,3044,3079,3109,3146,3186,3231,3282,3324,3367,3409,3470,3530,3602,3669,3723,3768,3830,3888,3960,4026,4089,4160,4227,4304,4372,4434,4508,4569,4648,4716,4779,4838,4900,4960,5015,5086,5167,5247,5325,5426,5506,5587,5686,5779,5876,5952,6036,6129,6243,6359,6463,6570,6691,6802,6921,7027,7163,7285,7408,7574,7715,7875,8006,8160,8302,8443,8605,8755,8940,9123,9315,9507,9711,9936,10152,10385,10601,10820,11060,11301,11576,11873,12163,12451,12708,12984,13254,13535,13821,14147,14478,14798,15072,15400,15730,16045,16374,16721,17080,17438,17824,18188,18561,18951,19329,19701,20114,20516,20928,21354,21785,22255,22760,23248,23746,24244,24735,25223,25747,26274,26804,27320,27836,28399,28976,29539,30140,30719,31341,31994,32658,33295,33975,34672,35404,36137,36904,37643,38417,39191,39990,40833,41707,42595,43441,44397,45356,46330,47340,48338,49323,50293,51332,52398,53527,54606,55743,56908,58093,59294,60489,61708,62984,64306,65657,67072,68521,70118,71657,73323,74984,76661,78371,80193,82043,83926,85851,87810,89748,91795,93758,95816,97940,100063,102297,104353,106555,108675,110896,113112,115403,117794,120161,122614,125156,127811,130411,133145,135969,138855,141741,144558,147664,150801
1,1,1,1,1,1,1,1,1,1,2,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,6,7,7,8,9,10,10,10,10,10,10,10,11,11,12,12,12,12,12,12,12,13,15,15,15,15,16,17,17,17,18,18,18,18,18,18,18,23,24,24,25,26,26,26,28,31,32,34,35,38,40,42,45,47,48,51,53,57,62,66,71,72,74,75,76,80,86,92,94,98,100,104,107,110,115,122,125,128,132,136,141,143,147,150,151,154,159,162,169,174,179,181,186,192,197,203,208,209,211,214,217,222,225,227,229,232,239,245,248,252,254,262,267,272,278,284,290,293,308,310,316,326,334,344,346,349,353,358,362,367,371,374,376,380,383,387,393,396,399,403,404,409,411,415,420,422,425,427,431,434,435,442,446,453,459,468,471,477,482,484,487,491,500,509,516,524,531,548,557,569,592,606,628,662,691,714,743,778,817,881,939,1007,1080,1172,1285,1396,1504,1609,1740,1854,1958,2092,2222,2340,2440,2564,2716,2842,2948,3121,3283,3442,3600,3755,3938,4111,4279,4450,4605,4786,4947,5092,5225,5364,5499,5641,5767,5917,6046,6185,6304,6413,6513,6605,6705,6791,6915,7013,7109,7203,7313,7404,7498,7580,7659,7742,7816,7893,7964,8044,8135,8220,8313,8408,8488,8576,8638,8734,8815,8884,8957,9033,9105,9160,9240,9315,9394,9463,9541,9617,9696,9754,9835,9909,9992,10067,10136,10224,10296,10358,10435,10511,10583,10647,10714,10792,10868,10935,11026,11120,11203,11289,11370,11455,11550,11655,11753,11861,11975,12090,12204,12325,12418,12543,12698,12834,12954,13075,13184,13309,13442,13573,13706,13844,13976,14107,14249,14387,14521,14675,14827,15007,15179,15340,15554,15755,15966,16137,16339,16552,16744,16948,17159,17335,17545,17753,17962,18181,18409,18627,18870,19141,19389,19662,19934,20209,20496,20753,21069,21363,21652,21979,22328,22636,22964,23276,23592,23899,24250,24622,24978,25341,25752,26156,26532,26922,27284,27666,28058,28463,28876,29297,29698,30099,30533,30973,31401,31810,32262,32689,33122,33576,34017,34503,34991,35501,35989,36534,37046,37560,38104,38656,39170,39723,40301,40879,41443,42003,42564,43172,43824,44381,44994,45568,46238,46890,47532,48239,48909,49607,50270,50941,51636,52302,52998,53720,54487,55202,55972,56722,57520,58295,59129,59998,60910,61839,62826,63801,64741,65756,66751,67767,68852,69929,71010,72106,73170,74304,75463,76576,77777,78902,80070,81288,82473,83693,85044,86311,87621,89007,90359,91768,93162,94581,95993,97542,99061,100574,102207,103913,105566,107246,108960,110720,112452,114215,116035,117954,119897,121890,123955,126131,128408,130626,133033,135539,137905,140348,142872,145505,148215
1,1,1,1,1,1,1,1,4,7,8,9,9,9,10,11,11,14,16,18,18,21,24,26,28,34,40,49,54,56,59,61,68,71,75,82,84,88,92,97,105,115,117,125,129,132,140,148,152,160,165,172,174,175,183,190,195,198,202,209,214,221,226,231,237,244,253,262,270,277,285,293,299,308,314,320,329,335,342,351,357,361,376,389,397,405,413,424,427,436,451,468,477,493,509,519,538,556,570,582,605,616,638,654,665,679,694,714,742,765,774,791,809,828,845,872,899,926,939,959,979,996,1021,1042,1060,1085,1105,1125,1149,1169,1195,1213,1248,1277,1300,1328,1369,1406,1435,1482,1519,1549,1583,1622,1659,1700,1734,1780,1820,1863,1897,1937,1972,2016,2050,2085,2128,2165,2201,2237,2273,2307,2347,2391,2429,2473,2504,2550,2587,2622,2661,2711,2758,2795,2851,2902,2955,3020,3071,3122,3182,3237,3308,3366,3432,3487,3551,3632,3695,3775,3845,3930,4022,4095,4169,4235,4318,4417,4515,4607,4680,4756,4849,4939,5011,5100,5210,5301,5406,5515,5612,5722,5816,5915,6001,6095,6222,6348,6451,6573,6685,6782,6882,7008,7120,7250,7383,7497,7648,7811,7953,8097,8237,8380,8528,8660,8811,8948,9119,9282,9452,9629,9811,9972,10142,10305,10443,10585,10757,10936,11113,11285,11471,11642,11791,11966,12151,12354,12553,12757,12942,13142,13334,13540,13770,14018,14252,14464,14686,14921,15191,15469,15722,16009,16294,16604,16894,17221,17559,17896,18244,18587,18940,19313,19654,20004,20371,20736,21135,21548,21937,22376,22793,23209,23655,24085,24527,24999,25504,26004,26503,26953,27462,28002,28548,29078,29633,30247,30816,31411,32021,32598,33183,33792,34460,35086,35776,36413,37072,37737,38426,39124,39822,40609,41344,42079,42818,43553,44296,45073,45848,46631,47390,48223,49051,49884,50750,51656,52516,53369,54202,55118,56030,56969,57967,58979,59999,61035,62089,63115,64194,65239,66358,67526,68709,69863,71036,72269,73449,74697,76007,77297,78642,79927,81241,82560,83939,85320,86736,88219,89751,91269,92884,94507,96025,97726,99442,101214,103067,104790,106584,108335,110141,111983,113961,115970,117921,119890,121897,123944,126056,128140,130269,132448,134715,137104,139502,141882,144321,146897,149470,152080,154844,157578,160358,163164,165990,168926,171890,174910,177862,180914,184063,187143,190370,193653,196924,200269,203828,207243,210758,214349,217981,221810,225545,229248,233154,237097,240917,245027,249329,253563,257743,262049,266501,271027,275573,280276,284948,289686,294421,299396,304221,309214,314094,319214,324359,329550,334819,340044,345334,350747,356284,361917,367676,373425,379285,385108,391184,397209,403353,409544,415978,422505,429118,435580,442016,448687,455167,461864,468684,475341,482087,488902,496014,503113,510348,517430,524677,532108,539666,547305,554893,562701,570564,578383,586368,594533,602964,611298,619663,628303,636959,645902,654991,664064,673422
1,1,1,3,4,5,8,8,12,16,16,20,24,28,33,34,35,38,42,44,52,60,63,69,72,78,80,86,90,96,100,106,116,125,129,138,141,145,152,159,165,176,180,186,198,204,210,213,221,226,228,234,242,249,256,266,273,279,282,286,293,299,303,315,327,337,342,343,346,349,355,360,361,365,366,369,372,378,382,387,395,400,412,423,431,434,439,445,454,461,465,469,474,481,494,498,504,514,520,530,533,539,547,553,560,563,569,577,587,596,602,607,612,623,631,637,643,647,653,668,675,682,689,704,719,731,750,769,789,808,819,835,853,867,882,895,910,922,935,956,978,1007,1027,1048,1074,1101,1129,1152,1174,1194,1224,1262,1296,1332,1379,1417,1466,1527,1583,1626,1672,1744,1812,1897,1964,2059,2152,2273,2371,2487,2619,2758,2888,3039,3170,3297,3423,3558,3674,3818,3971,4094,4198,4314,4447,4574,4698,4828,4962,5067,5195,5341,5466,5594,5741,5884,6023,6173,6334,6541,6761,6994,7250,7507,7787,8095,8386,8678,8998,9312,9611,9917,10219,10509,10810,11130,11420,11693,12003,12271,12519,12803,13075,13319,13595,13840,14112,14424,14743,15087,15419,15771,16089,16398,16717,17042,17394,17717,18008,18292,18596,18872,19130,19386,19670,19975,20272,20583,20849,21130,21439,21761,22040,22310,22567,22865,23139,23439,23746,24054,24344,24665,24985,25337,25675,25993,26391,26755,27158,27540,27903,28306,28724,29087,29501,29899,30312,30757,31220,31660,32184,32677,33192,33733,34295,34893,35461,36038,36587,37195,37806,38377,38958,39592,40236,40844,41501,42130,42784,43388,44017,44711,45363,46047,46759,47473,48171,48858,49590,50303,51059,51791,52573,53351,54184,55017,55855,56694,57571,58441,59404,60366,61255,62279,63221,64198,65197,66205,67254,68335,69372,70496,71610,72773,73985,75141,76383,77640,78836,80187,81461,82792,84190,85598,87059,88519,90021,91533,93083,94721,96368,98042,99856,101612,103423,105301,107189,109106,111201,113181,115382,117569,119879,122202,124498,126917,129478,132039,134632,137291,140018,142892,145819,148711,151652,154843,158113,161398,164711,168188,171716,175402,179230,183077,187183,191271,195437,199644,203821,207952,212386,216903,221377,225802,230360,234884,239650,244285,249030,253807,258570,263520,268380,273389,278550,283803,289119,294536,300232,305911,311567,317439,323349,329272,335262,341494,347785,353944,360242,366694,373089,379447,385932,392511,399005,405746,412621,419554,426674,433817,441135,448521,455906,463598,471190,478863,486786,494734,502894,511217,519754,528231,537176,545857,554744,563882,573076,582366,591951,601734,611450,621243,631061,641084,651082,661242,671555,682110,692702,703407,714445,725591,736584,747670,759098,770716,782381,794265,806143,818469,831036,843411,856270,869022,881714,894659,907643,920905,934431,947925,961617,975799,989884,1004322,1018613,1033155,1047866,1062970,1077976,1093381,1108663,1124403,1140275,1156357,1172624,1189159,1205932
1,1,1,3,5,7,8,13,13,16,16,21,21,23,24,28,35,39,45,53,60,65,72,76,83,86,92,98,100,106,116,121,123,133,146,153,160,167,169,177,181,184,190,200,204,209,222,228,240,249,263,268,279,293,310,325,341,358,379,396,410,435,454,473,494,514,545,571,604,635,659,691,730,762,785,809,841,872,914,949,986,1028,1065,1108,1132,1173,1217,1252,1294,1335,1386,1430,1473,1513,1568,1617,1674,1721,1780,1834,1876,1925,1978,2027,2091,2156,2211,2274,2341,2410,2483,2553,2619,2682,2758,2829,2910,2976,3060,3159,3247,3341,3447,3534,3613,3701,3806,3894,4000,4133,4246,4357,4461,4559,4667,4768,4882,4977,5075,5181,5287,5388,5516,5621,5716,5828,5941,6028,6123,6219,6323,6427,6545,6641,6731,6819,6942,7044,7161,7264,7395,7522,7628,7765,7900,8037,8166,8309,8438,8586,8748,8909,9084,9242,9418,9601,9786,9952,10154,10316,10491,10696,10883,11072,11268,11470,11674,11864,12073,12289,12501,12745,12965,13205,13422,13647,13893,14139,14357,14613,14877,15136,15432,15725,16003,16294,16590,16914,17242,17572,17889,18255,18599,18956,19288,19660,20079,20512,20946,21384,21827,22303,22750,23198,23710,24206,24725,25226,25749,26285,26811,27373,27943,28512,29034,29627,30217,30829,31389,31978,32585,33138,33730,34309,34928,35591,36231,36856,37502,38128,38799,39471,40120,40812,41531,42231,42949,43668,44422,45193,45993,46830,47654,48492,49382,50279,51222,52201,53166,54179,55213,56245,57350,58438,59471,60517,61584,62741,63906,65076,66293,67605,68947,70338,71779,73283,74702,76267,77916,79641,81362,83108,84914,86725,88592,90561,92493,94431,96396,98369,100365,102310,104269,106318,108305,110318,112429,114538,116734,118989,121219,123497,125855,128142,130605,132972,135422,137851,140412,142870,145338,147892,150512,153210,155983,158775,161615,164610,167801,170854,173945,177082,180398,183716,187163,190618,194051,197642,201428,205157,208939,212754,216695,220544,224508,228527,232564,236700,240963,244972,249264,253698,258205,262779,267317,272053,276940,281876,286917,291946,297200,302446,307892,313426,319025,324837,330440,336243,342086,347864,353852,359896,366156,372435,378800,385195,391736,398313,405124,411880,418872,426061,433132,440291,447658,455087,462553,470247,478152,485966,494013,502302,510694,519126,527788,536391,545313,554055,563083,572193,581468,590796,600085,609696,619312,629024,638990,649009,659115,669383,679772,690314,700807,711628,722522,733396,744495,755635,766961,778434,790171,801723,813660,825641,837739,850162,862707,875430,888135,900984,913976,927231,940682,954328,967989,981735,995841,1009954,1024206,1038670,1053395,1068403,1083114,1098141,1113212,1128511,1144118,1159836,1175866,1192023,1208168,1224470,1240980,1257482,1274232,1291094,1307989,1325226,1342483,1359864,1377702,1395442,1413695,1431729,1449956,1468437,1487267,1505746,1524767,1543713,1562980,1582447,1602029,1621976,1641867,1662246,1682573,1703040,1723812,1745078,1766247,1787743,1809217,1830873,1852641,1874478,1896638,1918834,1940966,1963515,1986188,2008799,2031402,2054354,2077332,2100361,2123833
1,1,1,1,1,2,4,5,8,8,11,12,14,17,21,21,22,23,25,29,34,42,44,50,54,61,71,79,89,95,102,111,118,128,135,141,147,159,168,172,183,198,209,221,226,240,247,255,259,269,279,289,300,312,325,351,364,380,391,410,418,428,444,454,467,476,482,490,501,514,529,544,554,569,586,603,621,637,648,660,675,694,709,737,753,776,794,818,846,876,899,930,951,974,1001,1030,1057,1086,1108,1136,1175,1214,1256,1297,1324,1367,1397,1435,1480,1520,1549,1596,1627,1678,1717,1771,1804,1867,1911,1970,2020,2055,2103,2166,2214,2269,2320,2389,2432,2484,2551,2590,2660,2729,2792,2858,2939,3009,3068,3146,3231,3291,3348,3432,3534,3634,3729,3820,3914,4000,4085,4170,4254,4357,4450,4536,4646,4735,4817,4918,5003,5084,5172,5268,5356,5453,5537,5625,5730,5838,5961,6084,6222,6354,6493,6645,6800,6940,7091,7223,7385,7555,7705,7849,7992,8152,8279,8406,8571,8718,8861,8995,9130,9275,9405,9531,9664,9796,9932,10079,10228,10367,10503,10647,10802,10956,11106,11249,11408,11559,11719,11904,12079,12240,12454,12644,12819,13019,13213,13431,13665,13910,14165,14408,14662,14896,15135,15390,15645,15882,16162,16419,16722,17019,17318,17611,17903,18222,18560,18907,19235,19588,19888,20263,20650,21052,21469,21865,22287,22766,23216,23689,24213,24748,25231,25738,26248,26775,27349,27876,28465,29067,29651,30297,30866,31489,32122,32847,33591,34370,35230,36063,36904,37769,38661,39522,40448,41404,42292,43274,44322,45408,46464,47536,48586,49682,50788,51877,52946,54098,55190,56329,57495,58631,59846,61033,62188,63406,64583,65746,66953,68145,69415,70652,71965,73286,74593,75958,77325,78713,80159,81653,83241,84848,86484,88163,89807,91543,93327,95169,97137,99010,100875,102788,104729,106777,108887,111096,113296,115475,117739,120002,122347,124651,127015,129302,131710,134044,136530,138955,141445,143961,146453,148987,151633,154384,157086,159759,162552,165325,168155,171114,174050,177099,180067,183074,186269,189393,192632,196003,199339,202860,206366,210017,213545,217191,220963,224694,228506,232451,236420,240496,244578,248699,252976,257427,261972,266428,271084,275662,280414,285096,290048,295000,299948,305006,310126,315482,320953,326404,332101,337889,343704,349737,355886,362174,368603,374945,381523,388260,395183,402108,409311,416478,423718,431014,438584,446041,453713,461472,469195,477225,485142,493251,501348,509561,517796,526174,534610,543119,551919,560748,569892,579111,588629,598299,608161,618171,628319,638612,649004,659559,670229,681142,692149,703450,714721,726173,737833,749484,761409,773519,785671,797830,810394,823116,836002,848906,861832,875086,888490,902054,915957,929752,943684,957620,971897,985988,1000196,1014866,1029485,1044207,1059068,1074105,1089209,1104261,1119580,1134976,1150278,1165936,1181509,1197269,1213261,1229358,1245323,1261472,1278061,1294695,1311405,1328281,1345305,1362465,1379664,1397215,1414925,1432620,1450304,1468061,1486162,1504565,1523077,1541659,1560298,1579028,1598090,1617554,1636966
1,1,1,5,8,9,12,16,21,24,25,28,32,39,42,49,52,58,64,67,72,74,78,86,91,93,100,106,115,119,126,131,137,142,154,158,171,175,181,189,194,202,209,217,221,230,238,246,253,261,272,277,286,297,302,315,320,330,336,348,359,368,379,386,391,402,415,428,435,447,458,475,492,504,521,538,554,568,584,607,623,647,663,678,695,713,741,768,801,830,856,888,914,937,972,998,1030,1057,1091,1123,1153,1173,1203,1233,1257,1288,1318,1343,1366,1404,1430,1460,1492,1516,1543,1564,1592,1615,1638,1669,1693,1715,1744,1764,1787,1812,1837,1867,1899,1935,1964,2008,2038,2068,2096,2118,2154,2183,2211,2252,2291,2321,2357,2390,2423,2455,2481,2511,2548,2584,2637,2670,2706,2748,2793,2844,2909,2974,3049,3108,3173,3236,3297,3371,3463,3537,3616,3685,3774,3870,3947,4022,4099,4177,4270,4342,4414,4501,4594,4691,4775,4874,4967,5037,5140,5229,5314,5406,5486,5578,5669,5772,5881,5990,6085,6195,6291,6395,6504,6613,6711,6823,6935,7068,7174,7287,7424,7546,7670,7814,7952,8083,8206,8346,8486,8639,8795,8932,9068,9218,9366,9546,9722,9885,10043,10207,10395,10576,10769,10933,11132,11348,11559,11781,11989,12207,12429,12621,12839,13051,13284,13500,13716,13947,14175,14397,14640,14848,15091,15324,15576,15841,16076,16319,16591,16861,17147,17384,17648,17928,18206,18518,18845,19160,19512,19871,20248,20598,20975,21342,21706,22110,22514,22929,23356,23753,24166,24556,24974,25400,25867,26271,26736,27164,27610,28064,28493,28921,29404,29869,30336,30820,31342,31863,32419,32941,33512,34080,34635,35278,35935,36510,37114,37783,38494,39143,39781,40477,41162,41837,42565,43297,44011,44771,45532,46227,47020,47813,48617,49381,50161,50976,51769,52583,53345,54085,54852,55659,56509,57370,58236,59163,60091,61060,61963,62915,63865,64834,65817,66811,67853,68916,69952,71051,72129,73292,74448,75675,76859,78117,79394,80672,81969,83321,84718,86196,87619,89076,90555,92102,93581,95069,96593,98083,99601,101185,102852,104477,106162,107819,109574,111285,113049,114853,116676,118591,120518,122592,124641,126758,128968,131180,133502,135869,138282,140755,143295,145933,148741,151624,154576,157572,160495,163602,166684,169747,172931,176182,179348,182508,186016,189515,193094,196679,200311,204126,208065,211995,216188,220428,224770,229098,233515,237965,242610,247082,251684,256410,261312,266169,271157,276366,281486,286716,291991,297305,302707,308217,313875,319552,325351,331311,337473,343618,349783,356141,362418,368675,375156,381685,388446,395139,401886,408634,415769,423065,430309,437645,445150,452810,460603,468461,476528,484772,493134,501703,510401,519306,528399,537743,547106,556588,566325,576161,586035,596347,606541,616797,627228,638097,649055,660062,671047,682252,693835,705586,717599,729724,742066,754684,767242,779803,792651,805660,818896,832258,845657,859216,872779,886496,900409,914590,928798,943436,958113,972850,987755
1,1,1,3,4,7,8,9,12,13,15,16,19,19,21,22,23,23,26,34,36,41,45,49,52,57,69,75,84,88,93,100,107,108,112,116,120,122,126,130,131,133,137,138,141,144,150,156,161,162,165,168,171,174,177,179,186,194,197,202,212,217,221,229,236,243,250,256,265,271,277,285,294,302,316,328,331,340,347,361,371,378,388,399,403,408,420,438,449,462,472,482,498,512,518,531,542,552,567,578,588,606,619,634,648,667,678,701,717,738,755,778,800,827,852,866,883,901,922,948,966,990,1010,1033,1048,1076,1110,1133,1155,1179,1206,1238,1278,1305,1334,1358,1399,1424,1462,1499,1543,1590,1644,1697,1727,1783,1825,1873,1925,2006,2080,2168,2251,2365,2473,2569,2651,2745,2843,2963,3030,3120,3212,3305,3402,3504,3590,3687,3790,3897,4001,4111,4209,4307,4397,4501,4616,4722,4833,4946,5074,5210,5338,5502,5666,5852,6014,6191,6376,6611,6845,7062,7290,7528,7798,8009,8235,8459,8705,8973,9213,9450,9678,9916,10166,10463,10739,11004,11302,11595,11881,12154,12440,12701,12982,13264,13532,13826,14121,14425,14774,15095,15451,15811,16178,16559,16936,17293,17691,18058,18438,18820,19196,19592,20014,20451,20889,21329,21754,22237,22680,23168,23674,24202,24723,25256,25822,26407,27025,27637,28246,28887,29533,30156,30853,31601,32304,32998,33735,34488,35268,35992,36762,37585,38329,39155,39988,40836,41674,42524,43352,44292,45232,46202,47186,48165,49097,50116,51111,52088,53143,54244,55379,56506,57653,58807,60004,61187,62362,63622,64874,66171,67477,68679,70000,71347,72724,74143,75552,77034,78521,80067,81557,83058,84585,86188,87936,89608,91334,93135,95016,96913,98856,100860,102874,104997,106947,109016,111141,113355,115631,118007,120320,122787,125196,127618,130077,132674,135372,137953,140602,143379,146162,149019,151907,154812,157731,160742,163880,167034,170293,173566,176779,180103,183473,186920,190457,194022,197575,201261,205028,208897,212892,216797,220830,225053,229209,233432,237653,241945,246407,251001,255716,260394,265190,270067,275062,280170,285184,290437,295830,301345,306842,312602,318260,324187,329993,335825,341703,347661,353900,360147,366373,372920,379313,385791,392379,398862,405556,412431,419402,426476,433646,441059,448455,456033,463593,471352,479203,487136,495196,503636,512237,520919,529626,538624,547778,556912,566092,575811,585552,595286,605185,615378,625710,636008,646438,656989,667582,678590,689811,701105,712346,723888,735689,747537,759591,771815,784130,796743,809533,822501,835382,848652,862229,875808,889588,903675,917828,932070,946490,961218,976292,991380,1006777,1022589,1038238,1054292,1070437,1086645,1103213,1120006,1136821,1153739,1170860,1187940,1205078,1222555,1240015,1257625,1275095,1292688,1310605,1328245,1346114,1364374,1382773,1401270,1419853,1438506,1457421,1476267,1495481,1514596,1534049,1553387,1573179,1592950,1612899,1633097,1653221,1673599,1694074,1714737,1735371,1756151,1777090,1798239,1819600,1840831,1862570,1884324,1905726,1927375,1949002,1970723,1992717
1,1,3,3,4,4,4,4,6,6,6,6,8,10,10,13,15,18,18,18,19,21,21,24,24,24,24,25,28,31,32,34,35,38,40,41,46,50,56,60,66,72,78,84,90,96,103,112,117,121,125,137,144,154,161,168,178,185,194,201,210,215,220,229,236,243,250,255,260,269,281,285,292,298,304,315,325,335,342,356,364,372,375,377,391,397,408,416,426,439,447,453,469,490,500,515,528,546,561,576,587,595,607,622,636,649,663,674,693,709,736,754,779,793,815,836,861,886,917,939,969,994,1016,1039,1067,1092,1124,1144,1173,1193,1222,1251,1279,1303,1328,1354,1389,1410,1436,1471,1499,1525,1554,1589,1613,1644,1675,1699,1740,1794,1843,1883,1934,1966,2011,2044,2083,2132,2184,2229,2279,2331,2370,2416,2482,2538,2589,2653,2735,2804,2857,2917,2987,3066,3125,3192,3266,3338,3426,3496,3587,3673,3763,3874,3959,4048,4130,4243,4355,4473,4574,4672,4783,4916,5041,5181,5321,5451,5573,5708,5825,5953,6079,6228,6380,6538,6682,6866,7064,7241,7398,7587,7758,7924,8115,8299,8502,8696,8886,9084,9278,9471,9674,9886,10094,10323,10556,10768,11001,11206,11441,11674,11897,12142,12408,12654,12918,13155,13393,13639,13874,14155,14410,14683,14963,15243,15540,15825,16125,16452,16791,17105,17424,17742,18087,18425,18761,19104,19517,19922,20368,20807,21290,21771,22242,22741,23261,23771,24310,24895,25495,26083,26701,27388,28054,28714,29433,30129,30797,31490,32194,32852,33624,34355,35151,35918,36742,37560,38356,39166,39936,40778,41640,42507,43345,44229,45085,46033,47002,47946,48931,49853,50913,51945,52997,54075,55173,56297,57493,58643,59851,61080,62354,63678,65058,66354,67811,69214,70664,72082,73551,75047,76587,78184,79862,81524,83216,84867,86575,88413,90264,92208,94239,96322,98431,100626,102998,105268,107665,110131,112650,115240,117731,120386,122937,125579,128278,130881,133526,136292,139003,141793,144578,147461,150361,153225,156191,159207,162116,165120,168096,171209,174317,177584,180810,184190,187463,190827,194312,197965,201571,205107,208811,212484,216173,220073,223965,227928,231955,236101,240226,244415,248759,253089,257462,261927,266396,270984,275689,280426,285399,290450,295513,300610,305991,311447,316892,322634,328450,334439,340335,346421,352606,358942,365327,371825,378582,385192,391903,398761,405754,413037,420339,427680,435118,442782,450409,458330,466397,474491,482766,491121,499468,508124,516905,525723,534572,543692,552907,562115,571562,581264,591201,601261,611237,621337,631721,642127,652719,663370,673939,685052,696143,707518,719041,730719,742485,754496,766787,779037,791517,804130,816904,829932,842944,856147,869382,882863,896554,910463,924611,939141,953571,968225,983243,998258,1013478,1028773,1044513,1060514,1076607,1093191,1109770,1126535,1143405,1160235,1177381,1194667,1212016,1229609,1247211,1265059,1282895,1301208,1319522,1338189,1356648,1375493,1394430,1413667,1433202,1452937,1472614,1492555,1512512,1532692,1553106
1,1,1,1,1,1,1,2,2,3,3,4,6,7,7,10,12,15,15,19,23,28,29,31,35,37,45,54,60,64,73,77,85,92,103,109,114,123,129,142,148,157,171,184,193,208,221,229,244,258,263,274,282,285,306,317,325,338,351,363,379,393,406,422,434,445,455,473,483,504,517,531,548,561,571,582,593,602,611,631,643,663,673,687,700,715,728,740,754,770,785,806,819,830,843,858,873,883,905,918,938,955,972,989,997,1014,1031,1048,1070,1089,1112,1121,1133,1146,1164,1174,1188,1207,1229,1244,1262,1282,1297,1316,1327,1340,1356,1368,1378,1391,1402,1415,1434,1444,1463,1476,1487,1499,1515,1533,1551,1563,1577,1585,1601,1613,1629,1648,1666,1687,1709,1735,1757,1777,1802,1819,1844,1881,1905,1942,1980,2018,2050,2087,2126,2157,2196,2234,2276,2310,2355,2394,2439,2477,2507,2553,2597,2633,2658,2694,2726,2765,2809,2863,2914,2962,3014,3079,3125,3200,3289,3379,3463,3543,3631,3726,3837,3943,4083,4216,4355,4494,4639,4778,4920,5055,5192,5357,5537,5715,5883,6059,6206,6380,6550,6727,6926,7105,7271,7450,7622,7822,8017,8208,8401,8628,8835,9033,9245,9475,9705,9913,10146,10367,10613,10830,11070,11297,11533,11800,12042,12323,12618,12915,13205,13493,13788,14084,14362,14634,14939,15270,15590,15922,16273,16604,16970,17373,17745,18122,18526,18936,19314,19751,20203,20642,21105,21560,22027,22510,23022,23582,24166,24700,25304,25869,26423,26984,27598,28189,28824,29425,30005,30618,31233,31905,32520,33124,33824,34479,35135,35871,36590,37400,38193,39011,39835,40641,41493,42397,43306,44282,45246,46282,47332,48466,49606,50805,51967,53181,54470,55778,57129,58499,59903,61293,62728,64302,65783,67353,68901,70465,72147,73863,75593,77369,79111,80962,82823,84775,86665,88656,90643,92536,94579,96530,98492,100521,102595,104702,106744,108948,110939,113073,115268,117491,119707,121998,124263,126616,129091,131564,134110,136602,139210,141846,144503,147163,149869,152745,155681,158593,161520,164657,167775,171024,174249,177513,180874,184380,187769,191377,194992,198684,202345,206151,210100,214024,217995,222067,226204,230368,234691,239081,243424,247993,252528,257167,261741,266439,271169,276098,281126,286087,291287,296499,301776,307029,312491,317984,323533,329254,335083,340876,346966,353259,359480,365858,372313,378848,385526,392359,399337,406236,413376,420418,427747,435155,442689,450356,457990,465554,473399,481508,489772,497963,506177,514532,522957,531545,540165,549137,558077,567197,576336,585582,594909,604522,614021,623660,633423,643327,653372,663508,673686,684047,694754,705454,716178,726986,738091,749280,760746,772280,784001,795841,807893,820134,832387,844934,857627,870340,883305,896592,909861,923369,936644,950256,963958,977803,991883,1005996,1020156,1034233,1048604,1063083,1077646,1092374,1107306,1122312,1137332,1152515,1167786,1183195,1198928,1214677,1230473,1246520,1262704,1278899,1295189,1311736,1328649,1345656,1362512,1379795,1396946
1,1,2,3,4,5,6,7,7,7,7,9,10,14,18,23,23,27,32,41,47,50,54,62,67,73,78,92,102,116,126,129,141,151,160,173,181,189,205,219,235,250,266,282,300,315,329,342,357,369,380,396,419,436,464,479,491,508,520,536,553,571,587,599,624,635,653,676,689,713,732,753,774,789,806,826,844,866,891,911,949,969,994,1019,1036,1050,1067,1093,1121,1148,1169,1194,1216,1233,1267,1297,1318,1342,1363,1382,1410,1433,1455,1477,1515,1547,1581,1611,1639,1668,1697,1722,1745,1773,1812,1843,1871,1893,1923,1953,1985,2013,2038,2065,2086,2123,2152,2188,2219,2249,2281,2304,2343,2365,2392,2426,2458,2491,2522,2556,2579,2605,2638,2667,2692,2728,2762,2798,2822,2859,2897,2924,2963,2995,3029,3062,3098,3127,3179,3230,3288,3318,3365,3412,3467,3519,3592,3665,3735,3814,3885,3949,4022,4091,4160,4228,4308,4407,4487,4572,4652,4737,4832,4920,5014,5116,5238,5339,5464,5606,5717,5848,5961,6089,6215,6349,6494,6633,6754,6897,7044,7142,7237,7359,7482,7621,7739,7871,7993,8126,8246,8377,8495,8610,8735,8871,9008,9131,9286,9456,9599,9755,9944,10138,10369,10592,10855,11115,11371,11684,12012,12289,12599,12911,13210,13472,13757,14067,14391,14703,15049,15404,15748,16057,16387,16679,17000,17309,17664,17976,18294,18609,18942,19289,19642,20044,20417,20828,21190,21615,22025,22499,23000,23516,24010,24566,25084,25635,26174,26750,27244,27802,28405,28982,29581,30212,30831,31459,32107,32743,33348,34023,34642,35265,35859,36471,37106,37715,38367,39070,39761,40409,41109,41819,42576,43326,44075,44788,45525,46292,47122,47940,48735,49570,50439,51346,52239,53204,54161,55148,56106,57157,58160,59157,60172,61165,62233,63299,64412,65508,66617,67777,68969,70146,71399,72582,73837,75074,76341,77683,79015,80434,81845,83271,84800,86314,87887,89511,91098,92740,94503,96285,98020,99793,101603,103429,105235,107084,108890,110891,112898,114847,116872,118922,121029,123127,125307,127375,129471,131611,133803,136041,138318,140613,142934,145261,147727,150204,152673,155241,157859,160431,163040,165729,168441,171168,174098,176931,179899,182837,185790,188841,191926,195002,198186,201431,204625,207889,211116,214490,217905,221380,225042,228665,232413,236153,239893,243649,247482,251290,255312,259376,263487,267715,271939,276431,280933,285547,290161,294944,299750,304708,309626,314734,319883,325067,330258,335544,341089,346651,352162,357830,363577,369376,375319,381442,387405,393617,399738,406163,412518,418944,425445,432099,438895,445784,452644,459646,466757,474073,481496,488994,496559,504322,512099,520162,528444,536762,545195,553880,562670,571529,580513,589787,599213,608730,618300,628241,638202,648215,658573,669039,679535,690488,701274,712092,723243,734737,746066,757579,769574,781585,793683,806113,818856,831397,844331,857726,871075,884618,898349,912172,926135,940138,954403,969087,983698,998555,1013427,1028666,1044193,1059880,1075693,1091349,1107240,1123273,1139568
1,1,1,2,5,6,6,9,11,14,17,18,21,28,33,37,41,44,48,52,54,62,66,70,72,74,77,87,97,104,107,111,119,122,126,128,135,139,144,152,158,165,169,177,182,192,199,204,211,221,222,227,238,250,261,267,274,282,301,311,327,342,352,366,383,396,409,418,430,441,449,454,465,474,480,497,507,519,532,548,564,578,592,604,615,629,641,654,660,670,685,700,706,719,736,749,756,766,785,799,818,830,846,860,870,883,894,907,922,937,952,967,980,992,1010,1024,1028,1043,1055,1069,1076,1086,1102,1113,1127,1132,1140,1152,1160,1166,1179,1183,1189,1202,1208,1218,1226,1234,1243,1245,1253,1260,1267,1275,1280,1290,1299,1305,1310,1319,1324,1328,1333,1339,1347,1353,1364,1369,1373,1378,1383,1385,1386,1389,1394,1406,1408,1420,1426,1429,1435,1447,1454,1461,1468,1480,1486,1491,1493,1496,1501,1507,1512,1517,1521,1526,1530,1540,1546,1552,1558,1567,1569,1578,1584,1589,1594,1599,1605,1613,1626,1635,1642,1649,1656,1663,1674,1687,1700,1708,1720,1731,1739,1748,1758,1766,1771,1780,1789,1801,1811,1816,1836,1840,1855,1869,1880,1892,1903,1917,1930,1938,1946,1957,1959,1966,1970,1977,1988,1998,2009,2018,2019,2025,2030,2034,2041,2046,2047,2054,2057,2064,2067,2070,2077,2079,2084,2092,2099,2102,2106,2109,2113,2119,2123,2128,2130,2136,2137,2143,2148,2155,2163,2165,2175,2182,2190,2198,2204,2210,2220,2234,2242,2257,2267,2279,2288,2303,2310,2319,2330,2338,2351,2360,2370,2381,2394,2409,2427,2439,2452,2463,2470,2487,2502,2509,2521,2535,2545,2560,2576,2587,2596,2611,2624,2633,2653,2667,2685,2699,2718,2737,2748,2769,2784,2796,2817,2835,2848,2861,2876,2908,2931,2949,2972,2999,3026,3051,3075,3100,3124,3149,3184,3210,3237,3255,3299,3334,3361,3398,3425,3450,3476,3501,3537,3569,3615,3641,3672,3706,3737,3761,3800,3832,3865,3907,3944,3967,4011,4059,4087,4125,4173,4214,4258,4285,4329,4366,4410,4459,4501,4552,4602,4653,4691,4739,4796,4853,4893,4951,5006,5049,5095,5130,5169,5219,5280,5330,5370,5408,5453,5496,5534,5573,5612,5657,5694,5737,5785,5823,5869,5899,5938,5982,6039,6087,6143,6194,6241,6294,6335,6387,6445,6497,6541,6587,6646,6701,6766,6820,6874,6937,6990,7045,7094,7148,7209,7269,7329,7395,7462,7517,7575,7630,7696,7764,7849,7912,7981,8035,8111,8174,8242,8301,8363,8420,8474,8547,8622,8702,8774,8864,8947,9039,9125,9205,9290,9384,9481,9576,9661,9763,9870,9993,10097,10205,10315,10449,10553,10683,10807,10947,11091,11230,11357,11499,11628,11775,11916,12069,12218,12354,12522,12663,12831,12975,13101
1,1,1,1,2,2,3,3,5,7,7,8,9,12,12,12,12,12,12,12,12,14,15,15,15,15,16,17,18,18,18,20,21,21,21,22,22,24,24,24,26,27,29,29,31,31,33,34,35,36,36,36,38,41,41,45,45,45,47,52,54,55,57,57,60,61,63,67,70,74,77,78,82,84,88,91,94,98,103,105,106,115,117,124,129,131,139,144,147,151,158,167,170,178,184,188,189,195,200,205,209,210,213,215,217,227,232,236,244,251,256,260,265,266,268,271,274,278,285,289,298,307,314,322,334,344,360,366,379,399,419,432,449,463,479,497,511,527,551,566,583,601,621,645,663,675,694,715,734,760,781,803,827,850,867,889,917,946,969,996,1023,1055,1089,1115,1145,1181,1219,1252,1300,1344,1394,1444,1499,1554,1613,1684,1741,1805,1885,1958,2018,2080,2162,2247,2311,2364,2431,2494,2563,2630,2696,2768,2835,2917,3013,3126,3229,3320,3399,3472,3554,3649,3747,3849,3944,4047,4144,4235,4331,4448,4548,4644,4778,4897,5008,5118,5224,5329,5439,5551,5673,5812,5969,6135,6289,6448,6619,6782,6970,7152,7326,7506,7689,7883,8085,8286,8511,8718,8948,9197,9444,9693,9964,10224,10483,10763,11025,11284,11582,11877,12207,12519,12828,13170,13493,13810,14118,14495,14837,15183,15540,15920,16315,16685,17072,17480,17932,18340,18747,19226,19673,20166,20669,21153,21652,22207,22749,23346,23943,24530,25217,25813,26466,27178,27836,28542,29304,30008,30682,31373,32061,32822,33549,34250,34997,35758,36491,37245,37985,38774,39487,40337,41182,42031,42862,43807,44698,45689,46682,47721,48880,50073,51296,52512,53832,55124,56515,57838,59223,60657,62095,63589,64984,66439,67995,69433,70976,72530,74045,75690,77344,78956,80647,82353,84105,85931,87816,89723,91610,93504,95416,97537,99673,101818,103936,106161,108452,110701,113081,115577,118054,120697,123311,125950,128610,131400,134150,137012,139752,142561,145404,148287,151250,154112,157074,160082,163027,166014,169010,172062,175149,178219,181239,184383,187550,190637,193840,197124,200537,204043,207602,211061,214771,218399,221982,225682,229534,233475,237476,241530,245590,249704,253975,258361,262722,267141,271742,276442,281234,285867,290589,295382,300180,305081,310140,315266,320304,325291,330550,335770,341143,346594,352102,357794,363506,369207,375136,381095,386969,393241,399481,405805,412249,418749,425509,432296,439050,446199,453320,460562,467898,475188,482580,490017,497553,505362,513160,521206,529161,537172,545362,553728,562324,570872,579435,588266,597093,606023,615108,624371,633792,643155,652573,662232,672249,682175,692248,702480,712854,723376,734055,744794,755829,767112,778569,789954,801791,813517,825342,837661,849980,862601,875384,888219,901256,914467,928009,941567,955175,969031,983043,997196,1011399,1025653,1040238,1054670,1069222,1083951,1099140,1114303,1129715,1145316,1161065,1176624,1192815,1209068,1225770
1,1,1,1,1,1,1,3,4,7,8,8,10,10,12,14,16,18,18,20,21,23,25,26,28,32,36,39,44,47,51,53,66,74,78,80,86,93,99,105,120,134,148,157,169,178,194,205,217,230,239,246,252,265,279,300,321,333,343,352,363,381,400,417,428,438,451,463,473,497,513,532,551,561,575,580,599,612,630,645,656,666,674,687,704,715,727,737,749,765,779,802,813,831,841,857,869,891,909,924,938,944,965,986,1006,1025,1047,1063,1088,1107,1129,1151,1172,1196,1215,1234,1254,1278,1295,1327,1359,1376,1413,1441,1470,1494,1521,1559,1590,1636,1665,1694,1717,1751,1795,1846,1885,1922,1959,1999,2038,2076,2103,2146,2184,2224,2273,2312,2346,2390,2425,2456,2496,2533,2573,2614,2655,2697,2737,2782,2820,2863,2896,2937,2995,3041,3095,3151,3212,3273,3323,3378,3455,3519,3583,3652,3705,3773,3838,3913,3986,4044,4129,4206,4278,4353,4433,4512,4591,4663,4755,4834,4921,5020,5116,5200,5298,5393,5507,5599,5698,5789,5901,6000,6085,6192,6293,6397,6503,6598,6689,6787,6894,6993,7087,7210,7325,7432,7544,7669,7778,7910,8046,8159,8261,8377,8501,8638,8760,8862,8966,9080,9193,9318,9462,9571,9696,9817,9956,10074,10217,10332,10449,10591,10716,10850,10994,11138,11290,11452,11605,11774,11953,12149,12352,12557,12778,13018,13260,13526,13782,14060,14348,14586,14874,15158,15493,15786,16092,16418,16769,17090,17513,17856,18205,18582,18953,19309,19672,20042,20425,20829,21230,21639,22069,22500,22944,23418,23881,24379,24892,25446,26018,26613,27205,27803,28374,28965,29558,30180,30793,31405,32033,32670,33313,33940,34659,35316,35994,36617,37303,37980,38721,39375,40110,40812,41523,42257,42996,43759,44531,45373,46181,46978,47813,48659,49561,50448,51355,52217,53179,54172,55167,56183,57249,58184,59251,60308,61404,62511,63691,64823,66004,67183,68400,69631,70859,72136,73425,74749,76141,77676,79194,80759,82277,83824,85421,87054,88673,90419,92087,93770,95433,97206,98921,100765,102699,104605,106452,108487,110412,112355,114412,116451,118555,120611,122698,124893,127009,129241,131504,133812,136299,138740,141303,143883,146483,149151,151948,154894,157779,160669,163558,166542,169648,172756,175928,179234,182538,185884,189230,192644,196088,199621,203215,206884,210599,214398,218195,222077,226020,230021,234181,238359,242566,246907,251263,255674,259923,264440,269139,273897,278730,283588,288517,293526,298646,303951,309041,314272,319381,324720,330117,335643,341485,347131,353065,359014,365068,371196,377457,383847,390206,396877,403712,410685,417696,424806,432123,439742,447361,454963,462977,471122,479279,487572,495788,503925,512332,520871,529555,538162,546909,555954,564948,574199,583478,592816,602428,612139,621736,631423,641257,651149,661226,671563,681635,691952,702245,712773,723449,734203,744983,756043,767295,778402,790002,801461,813120,825068,837106,849270,861523,873802,886339,898998,912018
1,1,1,1,2,4,6,7,9,17,23,25,28,30,31,37,40,43,44,50,56,62,69,79,83,87,92,98,105,111,117,127,132,141,148,156,163,171,174,178,186,191,202,210,219,227,231,237,246,250,255,261,270,277,279,288,296,307,311,315,322,332,338,346,352,356,360,364,373,379,389,395,400,409,418,426,434,442,446,454,464,474,482,494,499,509,510,518,522,529,538,544,552,559,563,569,574,586,588,594,599,607,614,623,629,632,635,640,647,650,658,664,674,680,683,688,692,700,705,712,714,721,727,735,741,751,757,762,769,776,784,791,802,813,824,834,839,854,859,864,872,878,887,895,903,913,921,929,934,945,953,963,971,983,995,1012,1019,1026,1037,1046,1051,1061,1072,1088,1092,1102,1119,1134,1138,1157,1164,1182,1197,1206,1213,1219,1236,1251,1262,1272,1279,1297,1311,1322,1336,1347,1358,1373,1382,1395,1422,1439,1454,1471,1484,1499,1521,1535,1556,1577,1594,1602,1616,1636,1653,1683,1704,1725,1742,1760,1777,1794,1826,1849,1875,1890,1911,1941,1963,1979,2001,2015,2033,2059,2078,2099,2117,2145,2168,2199,2229,2257,2294,2317,2348,2377,2397,2430,2456,2486,2522,2557,2600,2635,2662,2691,2725,2761,2795,2833,2866,2903,2933,2970,3007,3039,3074,3112,3147,3173,3200,3235,3266,3293,3320,3340,3374,3402,3433,3469,3506,3534,3567,3601,3627,3662,3711,3748,3788,3818,3859,3903,3929,3961,4003,4034,4068,4119,4164,4219,4255,4311,4369,4407,4456,4515,4593,4658,4727,4794,4855,4930,5005,5086,5174,5271,5356,5447,5537,5629,5726,5844,5939,6040,6147,6255,6380,6491,6660,6826,6992,7159,7330,7515,7736,7946,8166,8378,8618,8860,9125,9388,9633,9922,10190,10480,10777,11100,11445,11775,12094,12440,12819,13210,13592,13986,14446,14922,15369,15859,16362,16872,17364,17867,18356,18845,19376,19916,20443,20987,21484,21972,22507,23049,23597,24153,24724,25297,25873,26425,26982,27577,28190,28812,29458,30025,30634,31195,31800,32414,33032,33669,34296,34943,35539,36220,36832,37544,38208,38834,39570,40321,41027,41733,42467,43189,43981,44770,45555,46394,47174,47976,48819,49684,50502,51405,52333,53275,54179,55121,56095,57107,58061,59075,60059,61055,62040,63070,64146,65258,66384,67520,68673,69879,71033,72253,73537,74820,76159,77505,78870,80264,81607,83091,84609,86087,87677,89239,90855,92513,94272,96040,97816,99574,101394,103277,105261,107315,109445,111562,113755,116035,118351,120711,123165,125619,128086,130608,133082,135624,138252,140933,143754,146490,149277,152109,154962,157953,161115,164222,167443,170530,173870,177241,180655,184243,187811,191448,195212,198957,202806,206591,210704,214773,219000,223125,227356,231655,236109,240569,245171,249790,254596,259360,264212,269180,274384
1,1,1,1,1,1,3,4,4,4,4,5,7,10,10,14,19,21,22,27,30,34,38,41,44,48,51,52,59,65,70,75,84,89,93,100,103,108,112,115,120,127,131,134,143,152,167,178,186,199,208,213,219,227,236,252,269,282,294,310,329,351,359,369,379,396,413,424,450,467,481,496,506,529,548,563,584,601,619,637,649,675,695,731,753,780,816,842,864,885,914,947,974,1007,1038,1066,1092,1120,1158,1178,1210,1238,1269,1312,1349,1383,1416,1446,1495,1530,1564,1605,1658,1712,1750,1781,1817,1847,1894,1938,1984,2012,2058,2085,2114,2162,2188,2230,2251,2278,2317,2342,2366,2394,2427,2456,2481,2503,2527,2547,2572,2597,2617,2641,2671,2686,2704,2734,2761,2793,2811,2837,2856,2875,2894,2921,2943,2961,2982,3008,3033,3058,3079,3102,3122,3145,3163,3184,3208,3234,3256,3293,3321,3354,3377,3402,3433,3458,3496,3526,3561,3598,3655,3705,3751,3794,3857,3927,3984,4049,4138,4220,4310,4407,4524,4656,4765,4893,5021,5135,5250,5361,5460,5574,5684,5782,5896,5994,6089,6176,6273,6356,6432,6526,6597,6663,6756,6838,6908,6983,7063,7129,7218,7294,7363,7420,7498,7556,7611,7673,7739,7817,7877,7945,8018,8078,8148,8203,8274,8351,8434,8536,8616,8695,8782,8868,8968,9064,9173,9276,9394,9545,9676,9822,9952,10079,10225,10373,10529,10672,10835,10994,11137,11277,11420,11591,11729,11882,12020,12185,12333,12514,12668,12832,13015,13205,13381,13551,13728,13920,14119,14303,14485,14676,14939,15181,15405,15632,15918,16200,16505,16834,17198,17549,17891,18283,18705,19134,19586,20083,20543,21028,21533,22017,22530,23044,23605,24156,24756,25391,26030,26648,27306,28005,28726,29465,30215,30963,31735,32535,33311,34163,35022,35887,36729,37639,38522,39403,40340,41306,42239,43289,44253,45257,46262,47351,48471,49534,50696,51900,53120,54299,55476,56773,57973,59200,60493,61832,63087,64410,65748,67024,68374,69791,71233,72719,74233,75694,77203,78687,80270,81875,83520,85185,86763,88437,90155,91839,93540,95265,97068,98905,100731,102685,104694,106595,108631,110599,112619,114753,116892,119073,121294,123498,125812,128179,130565,132958,135387,137940,140509,143118,145739,148344,151006,153736,156506,159486,162483,165491,168715,171980,175483,178830,182251,185815,189400,193203,196949,200815,204768,208678,212794,216879,221000,225155,229439,233722,238140,242658,247196,251788,256485,261216,265926,270925,275968,280962,286208,291430,296588,302005,307527,313026,318572,324170,329987,335782,341607,347509,353611,359878,366262,372588,379101,385615,392285,398870,405721,412654,419878,426998,434253,441812,449339,457161,465061,472816,480851,488953,497317,505901,514413,523261,532122,541137,550403,559583,568996,578612,588439,598102,607910,618092,628450,638868,649571,660272,671263,682258,693438,704715,716215,727640,739494,751292,763345,775498,787812,800200,812749,825545,838194,851244,864239,877472,890927
1,1,1,1,1,1,1,1,1,2,4,4,4,5,7,7,8,9,12,12,12,13,14,16,17,18,20,23,24,26,28,32,36,39,43,44,48,53,56,61,65,68,74,79,84,90,94,103,109,114,120,124,126,133,136,145,153,159,161,165,171,181,187,194,199,203,206,212,220,223,230,237,243,247,253,258,264,270,280,288,293,297,301,307,312,326,336,347,363,372,380,387,394,405,412,426,436,444,461,467,475,488,502,515,523,530,544,557,570,591,607,621,638,661,679,695,711,730,742,757,776,793,811,827,853,871,894,927,949,983,1009,1034,1063,1096,1126,1150,1191,1224,1265,1293,1325,1353,1385,1417,1459,1502,1533,1569,1611,1649,1703,1743,1796,1839,1900,1973,2017,2066,2116,2169,2213,2272,2337,2392,2457,2515,2574,2626,2670,2725,2771,2838,2890,2949,3015,3069,3129,3183,3242,3299,3366,3419,3476,3532,3595,3644,3694,3746,3803,3865,3935,4002,4066,4129,4194,4266,4335,4402,4457,4500,4552,4614,4692,4764,4816,4881,4958,5044,5118,5213,5290,5387,5489,5577,5647,5735,5824,5911,6006,6096,6197,6288,6382,6487,6597,6699,6798,6905,7045,7169,7282,7413,7558,7678,7824,7974,8145,8289,8459,8642,8816,8995,9180,9358,9550,9736,9934,10109,10315,10529,10751,10982,11202,11442,11665,11902,12108,12337,12568,12822,13041,13264,13490,13715,13957,14195,14456,14707,14978,15244,15509,15825,16124,16430,16736,17047,17393,17735,18061,18449,18847,19242,19654,20032,20444,20818,21212,21632,22036,22438,22865,23307,23741,24165,24615,25074,25532,26046,26567,27092,27672,28252,28865,29480,30073,30717,31396,32141,32932,33634,34389,35083,35836,36605,37383,38254,39161,40014,40907,41832,42736,43706,44676,45679,46706,47741,48834,49972,51074,52107,53172,54273,55453,56614,57789,59044,60248,61475,62714,63981,65158,66409,67707,68975,70340,71729,73120,74570,75991,77441,78888,80423,81966,83481,85047,86618,88225,89932,91602,93293,95042,96761,98549,100378,102242,104138,106111,108058,110100,112086,114159,116291,118499,120672,122867,125175,127522,129972,132413,134884,137403,139932,142628,145278,147963,150742,153591,156468,159412,162446,165449,168547,171760,175005,178240,181552,185104,188585,192374,196141,199937,203783,207782,211793,215799,220042,224293,228767,233167,237807,242488,247325,252288,257167,262202,267544,272874,278298,283915,289493,295224,301004,306840,312852,318863,324839,330811,336958,343302,349606,355878,362272,368726,375299,381814,388590,395325,402098,408930,415987,423115,430240,437627,444998,452568,460176,467888,475587,483318,491183,499080,507099,515211,523539,531769,540217,548663,557242,566066,574976,583694,592745,602041,611386,620821,630463,640081,649980,659862,669985,680241,690404,700931,711582,722401,733573,744862,756463,767918,779650,791370,803504,815538,827828,840260,852940,865658,878591,891707,904999,918192,931417,944787,958146,971841,985569,999245
1,1,1,1,1,2,3,4,4,5,5,6,6,8,10,10,10,10,13,15,19,22,23,26,30,34,38,44,44,48,53,56,59,62,69,74,82,86,90,97,105,109,117,124,129,135,146,153,160,168,173,178,185,190,197,201,206,212,221,229,237,246,254,264,271,279,285,294,301,311,334,351,363,374,392,404,420,429,443,459,475,482,490,503,511,523,531,540,554,564,576,591,602,610,620,635,645,657,668,678,686,696,704,716,731,746,761,769,781,795,808,814,821,831,836,849,856,869,877,887,896,904,909,913,917,927,934,936,946,955,962,970,977,984,990,994,1004,1009,1013,1016,1020,1028,1033,1036,1042,1047,1055,1057,1063,1069,1074,1078,1086,1089,1095,1099,1101,1111,1119,1124,1130,1136,1142,1152,1166,1175,1184,1197,1205,1214,1227,1242,1251,1263,1278,1296,1313,1334,1346,1358,1370,1379,1393,1415,1429,1455,1482,1505,1527,1561,1590,1615,1645,1681,1718,1759,1808,1845,1889,1931,1975,2035,2079,2132,2183,2242,2298,2354,2386,2423,2456,2496,2546,2589,2642,2691,2745,2796,2833,2879,2907,2948,2995,3035,3078,3115,3164,3213,3254,3306,3357,3401,3444,3491,3537,3592,3640,3688,3745,3789,3848,3903,3949,4006,4055,4115,4171,4216,4268,4329,4390,4464,4529,4586,4642,4716,4779,4837,4917,4990,5047,5118,5188,5254,5306,5381,5448,5511,5585,5649,5710,5773,5852,5921,5982,6055,6124,6179,6236,6302,6354,6410,6470,6533,6591,6643,6700,6762,6823,6880,6933,7000,7062,7110,7170,7217,7278,7341,7403,7477,7537,7602,7673,7741,7816,7903,7974,8065,8157,8259,8366,8482,8591,8722,8877,9048,9224,9421,9587,9750,9906,10095,10258,10440,10622,10802,10990,11177,11378,11572,11760,11964,12137,12326,12536,12744,12952,13148,13343,13559,13765,13947,14158,14337,14573,14786,15011,15235,15482,15731,15997,16259,16498,16763,17043,17351,17686,18021,18392,18743,19128,19483,19863,20246,20640,21101,21572,22080,22545,23045,23611,24155,24735,25320,25939,26556,27158,27764,28403,29058,29713,30423,31127,31812,32525,33221,33919,34732,35565,36379,37164,38013,38872,39813,40713,41620,42553,43432,44364,45352,46354,47314,48363,49400,50430,51503,52527,53606,54648,55729,56810,57925,59027,60167,61304,62469,63715,64962,66145,67326,68557,69909,71213,72543,73894,75312,76636,78084,79518,80967,82549,84145,85773,87421,89039,90765,92583,94375,96225,98075,99978,101909,103879,105929,107954,110071,112152,114269,116535,118711,120833,123069,125364,127799,130193,132642,135102,137636,140270,142903,145515,148313,150981,153827,156778,159816,162880,166065,169327,172624,175962,179415,182936,186517,190097,193869,197759,201665,205597,209681,213747,217935,222349,226817,231396,236044,240829,245704,250607,255737,261059,266395,271626,277208,282913,288749,294541
1,1,1,1,1,1,1,2,4,5,5,5,5,6,7,7,8,9,9,9,9,9,9,9,9,9,9,12,13,13,14,15,18,19,21,23,26,28,32,33,36,41,42,44,49,52,56,57,60,61,68,72,81,84,86,87,93,98,104,106,111,116,119,125,131,135,138,142,149,157,158,161,165,166,167,168,171,174,179,179,182,184,185,185,187,190,193,195,198,201,209,220,224,226,229,234,237,241,246,250,252,257,263,273,280,290,293,305,317,325,331,335,342,357,371,380,390,409,429,442,464,479,492,510,532,554,583,607,631,650,680,697,723,751,774,815,839,882,917,960,1000,1034,1057,1084,1117,1138,1165,1195,1216,1243,1284,1314,1348,1373,1412,1436,1463,1496,1530,1567,1602,1645,1688,1724,1764,1804,1832,1878,1914,1956,1988,2034,2084,2127,2173,2225,2272,2323,2371,2438,2491,2554,2606,2679,2739,2800,2874,2927,3003,3089,3177,3265,3392,3534,3676,3832,4006,4190,4409,4608,4838,5114,5394,5643,5898,6149,6393,6600,6843,7086,7334,7619,7865,8120,8426,8720,9008,9331,9612,9954,10334,10702,11054,11416,11795,12193,12589,13022,13431,13833,14219,14637,15053,15461,15905,16333,16776,17231,17699,18171,18596,19067,19519,20001,20491,20971,21490,22022,22524,23045,23588,24177,24812,25487,26144,26821,27487,28176,28900,29661,30488,31274,32105,32902,33722,34583,35423,36299,37166,38055,39051,39959,40962,41993,43029,44096,45197,46278,47355,48439,49588,50712,51862,53069,54370,55650,57047,58485,59897,61315,62699,64127,65556,67149,68758,70329,71969,73657,75371,77155,79003,80763,82676,84512,86399,88279,90299,92293,94272,96383,98574,100724,102936,105215,107614,109978,112411,114883,117420,120124,122817,125554,128459,131340,134383,137395,140534,143727,146981,150333,153717,157216,160781,164468,168002,171789,175575,179542,183494,187511,191537,195801,200014,204225,208528,212944,217499,222037,226719,231494,236347,241337,246478,251610,256825,262114,267418,272837,278470,284102,289966,295692,301596,307618,313693,319950,326384,332980,339639,346607,353446,360514,367640,375001,382643,390296,398062,405779,413773,421659,429646,437878,446278,454766,463404,472152,481116,490052,499106,508281,517576,527016,536342,546184,555731,565566,575486,585405,595375,605428,615657,625806,636009,646465,657092,667735,678490,689519,700543,711766,723151,734691,746467,758365,770399,782768,795053,807299,819713,832348,845277,858374,871698,884872,898226,911743,925447,939312,953099,966914,980897,995148,1009458,1023845,1038544,1053210,1067954,1082794,1097725,1112673,1127934,1143576,1159315,1175072,1191243,1207352,1223737,1240303,1257193,1274068,1291371,1308631,1326067,1343736,1361419,1379163,1396982,1414858,1432810,1451110,1469380,1487981,1506500,1525463,1544187,1562999,1581906,1601003,1620283,1639644,1659059,1678622,1698142,1718033,1737904,1757946,1777850,1797987,1818433,1839128,1859872,1880849,1901908,1922934,1944069,1965684,1987220,2009024,2031127,2053212,2075085,2097362,2119582,2142130,2164561,2187288,2210000
1,1,1,1,3,3,3,4,5,7,7,10,12,12,15,18,19,22,23,27,27,29,30,31,32,35,39,42,46,49,55,59,60,61,70,73,75,82,85,91,95,99,103,106,107,111,113,115,120,124,125,130,131,134,137,141,146,147,150,153,157,162,166,167,169,172,172,174,175,180,183,185,189,192,194,194,194,196,199,200,203,205,208,209,210,211,212,215,217,217,218,219,221,222,224,226,226,227,227,227,227,229,231,231,232,234,237,237,237,239,239,240,241,242,243,244,245,248,250,251,251,254,255,257,258,260,262,263,263,266,268,269,270,272,274,276,277,279,281,284,288,289,293,294,297,297,300,304,309,311,313,314,316,320,321,323,327,328,330,331,331,332,333,336,338,339,342,347,347,350,352,354,357,357,357,357,357,358,359,361,362,364,364,365,366,367,368,368,369,372,373,377,380,384,387,390,392,396,400,402,405,409,414,415,417,420,424,429,429,439,442,446,451,456,458,461,466,467,474,480,485,489,493,495,500,504,509,516,519,522,526,530,532,539,545,550,551,554,559,564,565,566,568,570,578,583,588,596,604,615,630,639,649,659,668,677,682,687,691,701,711,721,732,748,762,773,783,795,805,819,830,840,860,873,882,895,903,915,931,939,946,954,967,979,985,997,1010,1022,1036,1048,1060,1071,1078,1087,1093,1106,1109,1118,1126,1134,1140,1145,1152,1170,1189,1197,1208,1216,1231,1242,1256,1277,1294,1315,1334,1356,1379,1408,1435,1457,1479,1501,1528,1571,1610,1658,1691,1733,1774,1811,1841,1869,1904,1939,1971,1997,2038,2086,2125,2160,2186,2213,2240,2272,2308,2350,2388,2430,2481,2528,2582,2635,2684,2733,2787,2833,2895,2956,3017,3055,3122,3172,3220,3271,3320,3364,3418,3465,3502,3539,3582,3629,3681,3725,3785,3820,3863,3907,3954,3997,4044,4088,4154,4185,4239,4284,4324,4370,4418,4474,4524,4563,4594,4641,4690,4733,4766,4798,4847,4893,4919,4962,5008,5052,5100,5130,5173,5213,5248,5288,5322,5374,5426,5469,5506,5546,5592,5650,5705,5763,5819,5874,5943,5998,6050,6121,6186,6257,6343,6436,6522,6608,6713,6813,6909,7025,7124,7215,7332,7428,7530,7647,7735,7828,7908,8016,8104,8184,8269,8357,8434,8517,8588,8660,8746,8820,8909,9005,9097,9184,9271,9375,9473,9572,9705,9808,9920,10058,10177,10284,10415,10542,10659,10786,10905,11020,11168,11282,11415,11535,11670,11807,11959,12117,12258,12418,12579,12728,12875,13030,13210,13374,13527,13708,13905,14070,14238
1,1,1,3,4,5,6,9,11,11,13,14,15,17,20,21,22,26,28,30,32,35,37,43,47,53,53,54,55,62,65,69,74,79,80,82,86,91,92,96,104,112,118,123,127,130,134,141,143,144,147,150,153,155,161,163,165,168,168,168,176,179,182,183,190,194,195,196,202,206,209,213,217,220,220,224,227,231,237,242,247,250,251,257,261,265,271,276,279,286,296,302,309,315,325,334,342,352,361,365,378,389,399,410,422,436,446,465,475,486,493,502,517,535,549,562,578,591,606,618,628,650,671,683,692,707,721,735,748,765,779,796,814,832,852,869,884,898,919,936,957,983,1003,1028,1051,1074,1100,1119,1149,1169,1195,1220,1238,1267,1293,1325,1344,1375,1401,1432,1456,1479,1508,1524,1549,1575,1605,1629,1654,1684,1719,1736,1766,1802,1837,1872,1902,1932,1957,1983,2013,2039,2070,2101,2124,2170,2199,2234,2259,2289,2320,2347,2365,2392,2432,2461,2484,2519,2541,2581,2611,2635,2665,2700,2726,2761,2794,2822,2856,2887,2920,2954,2988,3034,3072,3112,3150,3204,3239,3281,3316,3357,3395,3438,3479,3524,3563,3599,3648,3686,3726,3768,3805,3844,3889,3924,3969,4008,4070,4133,4179,4249,4317,4403,4465,4523,4594,4658,4731,4799,4863,4940,5005,5071,5155,5226,5305,5389,5460,5543,5632,5709,5779,5876,5950,6040,6137,6250,6346,6462,6578,6689,6828,6950,7039,7167,7286,7439,7591,7741,7879,8024,8170,8343,8523,8682,8868,9034,9230,9430,9625,9872,10151,10417,10717,11042,11365,11735,12120,12504,12833,13193,13540,13908,14319,14728,15111,15445,15842,16245,16632,17072,17531,18015,18511,19019,19593,20114,20734,21319,21875,22451,23061,23663,24193,24745,25297,25845,26445,26992,27573,28158,28712,29274,29875,30466,31066,31638,32241,32871,33474,34099,34793,35444,36085,36712,37365,38052,38758,39448,40143,40857,41564,42337,43028,43742,44469,45247,46014,46737,47502,48211,48977,49749,50605,51475,52316,53113,53949,54853,55763,56660,57588,58537,59536,60619,61665,62785,63901,65085,66337,67531,68828,70167,71559,72984,74447,75940,77396,78864,80396,81959,83541,85156,86751,88442,90091,91687,93393,95178,96975,98737,100602,102514,104299,106264,108194,110075,112197,114244,116299,118433,120622,122811,125166,127519,129902,132436,134941,137536,140086,142802,145605,148541,151504,154503,157623,160874,164027,167371,170867,174431,178126,181883,185614,189463,193335,197250,201269,205400,209605,213597,217732,221886,226198,230507,234946,239481,244064,248766,253459,258301,262989,267786,272862,277959,283141,288234,293495,298888,304431,310007,315671,321482,327250,333096,339189,345199,351178,357256,363331,369394,375507,381956,388202,394521,401076,407660,414252,420913,427680,434354,441113,447969,454960,462058,469165,476417,483871,491391,499008,506752,514532,522358,530384,538311,546568
1,1,1,1,1,3,5,6,8,10,10,10,13,15,18,22,25,27,31,34,39,39,42,43,44,50,52,61,65,67,75,77,83,87,90,97,99,102,105,111,116,121,125,132,137,141,147,151,156,161,165,175,178,179,182,189,193,195,197,200,203,207,210,212,216,217,225,229,234,241,247,254,262,269,272,276,285,292,296,305,315,322,334,343,355,368,376,383,394,409,424,445,463,482,495,501,521,532,544,559,572,593,608,621,638,653,665,688,714,733,748,763,777,793,805,818,834,846,865,884,904,921,940,962,978,999,1015,1035,1051,1070,1092,1116,1129,1154,1169,1189,1204,1223,1236,1263,1278,1290,1306,1322,1345,1370,1389,1409,1433,1446,1463,1486,1506,1530,1549,1567,1585,1606,1629,1649,1669,1688,1702,1727,1753,1770,1790,1819,1842,1866,1889,1904,1928,1956,1978,1999,2024,2050,2080,2113,2141,2170,2196,2222,2259,2287,2319,2345,2383,2423,2451,2485,2521,2556,2591,2619,2659,2693,2725,2753,2795,2842,2888,2932,2961,2997,3033,3080,3106,3134,3168,3200,3246,3280,3323,3359,3393,3434,3470,3504,3545,3584,3632,3665,3700,3743,3787,3823,3863,3903,3938,3975,4021,4053,4087,4121,4158,4183,4218,4253,4292,4325,4361,4399,4448,4480,4525,4555,4591,4639,4682,4730,4765,4816,4856,4903,4948,5007,5046,5093,5148,5196,5241,5293,5334,5388,5438,5481,5527,5573,5628,5673,5721,5759,5812,5855,5897,5939,5984,6028,6079,6123,6165,6220,6276,6325,6377,6424,6473,6532,6576,6620,6676,6729,6781,6827,6893,6937,6996,7043,7091,7138,7185,7245,7311,7369,7430,7475,7527,7582,7642,7691,7747,7811,7860,7931,7993,8063,8117,8171,8219,8273,8332,8384,8458,8528,8598,8658,8726,8785,8844,8918,8980,9035,9092,9161,9223,9280,9336,9407,9487,9571,9647,9760,9840,9911,10025,10126,10221,10318,10433,10521,10622,10733,10840,10966,11083,11215,11335,11460,11590,11727,11853,11991,12158,12291,12463,12614,12776,12917,13064,13238,13391,13556,13718,13902,14073,14251,14432,14625,14777,14976,15166,15381,15575,15766,15949,16175,16426,16680,16891,17121,17354,17593,17830,18071,18324,18583,18866,19154,19483,19807,20132,20468,20802,21174,21566,21989,22464,22916,23380,23842,24327,24849,25370,25894,26454,27086,27682,28315,28897,29575,30290,30957,31660,32423,33257,34105,34951,35854,36828,37854,38891,39891,41056,42254,43455,44645,45834,47020,48238,49550,50869,52131,53375,54725,56070,57352,58705,60031,61318,62649,64048,65405,66811,68212,69644,71071,72528,73939,75444,76927,78401,79937,81614,83240,84824,86482,88214,89909,91674,93537,95306,97101,98925,100790,102764,104711,106692,108722,110784,112906,114995,117109,119215,121450,123747,126066,128497,130874,133270,135856,138395,140853,143577,146257,148930
1,1,1,1,1,1,1,5,5,5,6,8,9,11,13,15,17,21,24,24,24,25,27,28,29,31,39,43,46,52,57,65,69,79,91,106,116,129,141,156,162,179,197,216,227,239,254,267,283,296,309,322,332,350,364,375,389,405,414,424,435,442,451,456,464,467,475,481,487,489,497,498,500,505,508,513,515,516,523,528,532,535,536,538,545,549,550,551,552,558,563,565,571,571,574,579,583,592,601,610,613,617,621,629,636,647,658,667,684,695,708,714,730,743,760,780,798,822,832,845,861,876,902,931,963,989,1008,1036,1052,1082,1097,1118,1148,1187,1218,1254,1282,1311,1347,1388,1435,1466,1492,1538,1575,1619,1664,1713,1754,1792,1828,1861,1910,1961,2008,2057,2101,2140,2195,2239,2279,2338,2388,2446,2506,2562,2634,2698,2750,2805,2875,2935,2985,3072,3128,3196,3260,3338,3410,3494,3575,3653,3713,3794,3887,3962,4030,4108,4186,4259,4342,4441,4540,4659,4770,4883,5003,5113,5227,5357,5506,5660,5813,5939,6072,6210,6344,6506,6681,6860,7043,7255,7453,7668,7893,8088,8319,8564,8764,9007,9271,9533,9802,10070,10339,10602,10894,11186,11460,11785,12078,12399,12713,13016,13319,13623,13963,14308,14651,15007,15356,15748,16111,16484,16866,17228,17604,17993,18401,18804,19213,19654,20083,20487,20946,21410,21886,22359,22848,23337,23834,24362,24896,25457,26034,26601,27192,27821,28437,29106,29781,30431,31092,31800,32500,33238,33987,34710,35466,36211,37048,37894,38726,39546,40359,41194,42039,42959,43804,44651,45549,46448,47287,48189,49110,50036,50948,51934,52965,53955,54926,55979,57048,58144,59329,60492,61713,62902,64143,65475,66819,68074,69494,70996,72461,73899,75421,76931,78488,80026,81635,83226,84886,86583,88260,89967,91621,93385,95182,96962,98733,100512,102349,104223,106118,108144,110101,112160,114199,116233,118402,120542,122849,125147,127446,129782,132215,134703,137283,139820,142444,145152,147841,150641,153512,156402,159328,162304,165426,168615,171841,175147,178525,182025,185504,189056,192635,196337,200117,203877,207612,211391,215370,219274,223350,227557,231756,236018,240314,244707,249257,253754,258279,262887,267587,272186,277095,281952,286961,291977,296846,301920,307232,312557,317871,323408,328986,334563,340185,345801,351649,357468,363371,369410,375561,381702,387882,394229,400619,407330,414108,420943,427974,435038,442312,449628,457254,465114,472836,480812,489010,497304,505793,514357,523103,531928,540971,550076,559315,568855,578524,588263,598285,608587,618887,629184,639770,650393,661173,672053,682994,694223,705606,717099,728784,740568,752309,764348,776548,788954,801278,813939,826761,839760,852829,865963,879163,892759,906588,920519,934462,948724,963314,978167,993180,1008236,1023392,1039065,1054831,1070580,1086354,1102436,1118481,1134985,1151563,1168281,1185178,1201811,1218988,1236271,1253765,1271307,1288994,1307002,1324801,1343194,1361453,1379901,1398685,1417687,1437199,1456288,1475655,1495530,1515453,1535777,1556181
1,1,1,1,1,1,1,2,2,2,2,2,4,5,7,9,11,12,12,12,14,14,16,17,22,25,30,33,36,42,46,49,58,68,72,77,79,84,90,95,98,103,106,110,116,124,128,136,140,146,150,154,160,164,168,176,184,190,193,198,205,215,220,228,241,250,259,264,272,279,282,291,296,309,317,322,329,338,345,351,360,367,379,385,392,398,405,419,432,440,446,457,469,480,488,499,512,522,536,543,550,558,572,580,589,598,613,630,640,650,659,674,687,696,709,717,726,736,751,762,767,781,785,791,799,811,828,837,849,860,871,886,901,910,919,932,939,953,966,977,1004,1019,1022,1040,1053,1067,1084,1098,1115,1130,1147,1167,1185,1197,1217,1239,1258,1283,1299,1313,1327,1347,1367,1385,1402,1425,1443,1466,1496,1520,1546,1575,1595,1608,1626,1648,1673,1692,1715,1750,1779,1801,1838,1861,1896,1926,1947,1967,1989,2012,2034,2065,2090,2112,2151,2187,2208,2231,2261,2284,2293,2319,2340,2356,2380,2403,2420,2450,2471,2492,2520,2553,2575,2594,2616,2639,2661,2686,2715,2754,2794,2846,2889,2942,2977,3013,3049,3085,3113,3157,3206,3251,3290,3333,3383,3426,3460,3495,3537,3586,3638,3684,3725,3772,3832,3887,3953,3997,4050,4110,4177,4245,4316,4397,4468,4536,4612,4702,4807,4893,4988,5067,5154,5244,5333,5423,5509,5627,5736,5840,5945,6056,6181,6317,6427,6523,6624,6743,6847,6953,7048,7191,7315,7448,7551,7644,7747,7854,7996,8117,8235,8380,8492,8628,8751,8869,9012,9125,9259,9397,9530,9640,9766,9884,10012,10141,10278,10385,10499,10610,10746,10859,10995,11110,11221,11357,11527,11666,11802,11936,12098,12260,12439,12632,12835,13031,13256,13486,13682,13904,14130,14359,14633,14894,15157,15441,15735,16017,16296,16556,16867,17163,17458,17748,18060,18353,18675,18984,19289,19640,20044,20398,20817,21219,21662,22087,22565,23054,23616,24136,24680,25199,25756,26368,26957,27576,28182,28862,29503,30189,30857,31576,32335,33032,33775,34507,35237,36011,36794,37567,38366,39196,40026,40848,41701,42601,43548,44504,45447,46410,47362,48385,49347,50359,51431,52463,53557,54600,55612,56668,57859,59060,60242,61445,62602,63834,65103,66372,67700,69028,70433,71856,73370,74971,76466,77986,79609,81220,82868,84554,86288,88129,90010,91859,93722,95706,97707,99792,101887,104103,106413,108633,110985,113291,115685,118132,120595,123090,125747,128410,131129,133839,136733,139632,142546,145506,148571,151606,154646,157911,161300,164660,168030,171424,174853,178387,181879,185435,189106,192749,196490,200267,204033,207831,211653,215516,219482,223400,227327,231406,235533,239698,243885,248184,252383,256777,261160,265721,270135,274903,279754,284627,289528,294470,299568,304620,309820,315122,320353,325752,331127,336555,342139,347882,353778,359613,365606
1,1,1,1,1,1,1,1,2,2,2,4,4,4,5,7,8,11,13,15,16,16,17,17,17,20,22,23,25,29,31,32,33,35,38,41,46,50,54,61,69,75,77,85,90,93,97,105,110,116,125,136,139,147,159,167,175,185,187,194,207,214,221,227,239,250,258,265,274,281,290,306,314,321,327,337,344,353,359,363,364,373,383,389,399,404,412,418,424,432,445,455,468,477,494,509,525,548,568,591,611,632,662,684,704,729,758,797,835,862,899,938,971,1004,1040,1074,1114,1150,1191,1242,1277,1339,1390,1448,1511,1565,1621,1686,1754,1802,1852,1917,1984,2052,2110,2179,2238,2299,2373,2443,2512,2567,2624,2678,2743,2814,2871,2932,2988,3061,3144,3201,3272,3343,3432,3501,3572,3648,3714,3784,3858,3928,4019,4100,4167,4249,4325,4383,4444,4506,4576,4647,4710,4785,4852,4920,4993,5066,5136,5215,5278,5357,5443,5513,5586,5677,5775,5871,5958,6039,6145,6240,6332,6460,6568,6670,6783,6900,7028,7162,7301,7458,7595,7754,7912,8093,8279,8459,8677,8905,9150,9357,9573,9787,9998,10206,10411,10611,10816,10990,11169,11351,11529,11696,11901,12069,12260,12452,12629,12815,12983,13195,13389,13596,13800,13995,14227,14441,14644,14856,15069,15314,15568,15850,16086,16364,16628,16906,17197,17497,17766,18034,18322,18644,18986,19270,19593,19908,20264,20602,20953,21320,21679,22057,22448,22851,23179,23599,23972,24383,24805,25233,25668,26062,26456,26855,27263,27686,28091,28517,28950,29378,29824,30284,30714,31221,31712,32203,32694,33206,33730,34207,34786,35317,35840,36372,36928,37539,38136,38805,39425,40031,40749,41461,42210,42962,43730,44589,45447,46291,47153,48016,48873,49722,50660,51505,52406,53295,54240,55194,56121,57062,57983,59001,60093,61143,62209,63317,64457,65603,66808,68043,69338,70575,71853,73203,74623,76006,77419,78860,80340,81894,83462,85089,86750,88426,90179,91968,93760,95529,97412,99329,101270,103259,105383,107418,109554,111678,113951,116204,118567,120793,123158,125465,127817,130250,132651,135062,137576,140126,142801,145557,148277,151145,154042,157036,160046,163119,166201,169402,172661,175938,179226,182584,185881,189303,192676,196128,199727,203268,206899,210583,214228,217951,221708,225510,229424,233254,237147,241156,245415,249623,253697,257994,262295,266724,271273,275906,280578,285375,290279,295263,300414,305713,311083,316536,322124,327871,333629,339471,345452,351419,357560,363759,369971,376188,382517,388964,395335,401845,408293,414795,421482,428202,435143,441971,449034,456259,463581,470846,478375,486108,493739,501496,509444,517517,525764,534018,542490,550895,559664,568459,577317,586419,595615,604777,613956,623304,632632,642234,651986,661809,671780,681801,691798,701980,712347,722772,733509,744135,755167,766227,777489,788949,800424,812044,824093,836081,848330,860846,873569,886077,898958,911993,924943,938142,951653,965320,979095,992827,1006923,1021059,1035341,1049765,1064378,1079083,1093973
1,1,1,1,1,1,1,2,7,8,11,15,18,19,22,24,25,25,28,29,32,32,36,43,50,55,59,60,69,77,82,84,90,93,95,99,108,114,117,121,129,133,143,148,150,154,158,160,164,169,174,177,183,183,184,190,195,201,207,214,218,220,224,230,233,237,238,246,248,251,257,261,271,279,286,298,304,307,319,326,335,346,358,366,375,389,400,414,422,436,450,461,475,496,508,521,535,552,571,592,612,630,653,678,694,712,725,739,756,780,797,818,834,859,879,902,914,941,963,983,1004,1023,1032,1058,1089,1111,1134,1167,1197,1229,1258,1293,1336,1369,1408,1441,1480,1525,1581,1636,1680,1741,1809,1883,1956,2022,2122,2220,2315,2430,2563,2716,2856,3014,3178,3374,3531,3699,3872,4033,4199,4337,4512,4669,4833,4992,5157,5323,5486,5653,5847,6023,6224,6424,6613,6812,7050,7290,7552,7807,8100,8377,8650,8916,9197,9456,9731,9972,10244,10469,10708,10963,11206,11445,11712,11951,12193,12454,12700,12943,13214,13473,13712,13981,14251,14514,14826,15075,15364,15644,15939,16251,16590,16915,17269,17628,17970,18354,18758,19136,19542,19919,20289,20681,21048,21456,21869,22334,22770,23161,23584,23986,24396,24781,25212,25639,26077,26506,26939,27408,27887,28349,28786,29257,29743,30225,30718,31243,31732,32261,32835,33336,33907,34451,35048,35649,36274,36892,37501,38125,38778,39456,40094,40771,41471,42158,42846,43520,44234,44921,45663,46380,47174,47986,48781,49492,50249,50995,51757,52546,53265,54075,54836,55609,56374,57188,57981,58769,59611,60453,61331,62160,63027,63952,64852,65744,66688,67650,68598,69545,70456,71516,72561,73642,74724,75906,77057,78206,79464,80760,81987,83263,84575,85899,87253,88630,90068,91365,92787,94192,95658,97139,98666,100100,101606,103204,104810,106489,108130,109826,111683,113578,115526,117520,119479,121609,123658,125844,128016,130161,132437,134646,136969,139262,141628,144062,146514,148964,151544,154180,156802,159426,162166,164914,167728,170706,173749,176777,179859,183023,186337,189579,192954,196368,199801,203355,206968,210488,214331,218194,221989,226072,230156,234327,238526,242731,247093,251322,255651,260244,264943,269629,274344,279028,283942,289003,294147,299363,304615,310027,315569,321039,326648,332422,338093,343975,349977,355986,362083,368250,374398,380577,386984,393295,399920,406487,413153,420026,426825,433667,440754,447904,455396,463092,470548,478284,486023,493959,501920,510072,518439,526643,535183,543780,552568,561515,570682,579798,589038,598438,608168,618016,627708,637633,647793,657951,668462,678906,689527,700158,711031,721987,733148,744546,756191,767746,779514,791521,803476,815631,827964,840455,853070,865528,878146,890812,903635,916494,929413,942669,955702,968873,982378,995916,1009378,1023030,1036923,1050773,1064933,1079478,1093926,1108453,1123001,1137914,1153001,1167944,1182955,1198495,1214059,1229890,1245844,1261995,1278367,1295095,1311780,1328864,1346230,1363647,1381443,1399343,1417562,1435723,1454291,1473164,1491918,1511254,1530733
1,1,4,5,5,6,6,7,11,12,13,16,19,20,25,28,32,36,38,40,43,45,47,55,60,69,70,72,74,77,79,79,85,89,92,98,106,111,119,124,130,135,139,146,150,156,163,165,169,175,186,194,202,207,213,217,221,228,235,247,255,259,267,273,275,283,288,296,302,305,311,319,331,335,350,363,371,377,383,393,398,404,409,418,426,439,448,461,470,478,488,503,510,523,531,536,540,553,563,575,583,589,596,605,610,618,621,629,639,645,656,661,665,669,676,680,689,702,707,715,723,728,735,742,754,758,765,767,776,782,784,788,791,796,799,801,807,811,812,815,820,823,828,833,837,840,843,846,848,852,856,859,865,870,873,876,880,881,883,886,891,897,908,911,916,917,918,924,928,930,935,943,950,960,969,981,992,996,1003,1016,1029,1045,1057,1070,1077,1096,1110,1131,1149,1167,1181,1203,1229,1245,1264,1284,1311,1340,1362,1386,1409,1445,1470,1497,1524,1543,1573,1611,1645,1670,1702,1732,1770,1803,1836,1875,1908,1931,1966,1986,2014,2039,2066,2108,2132,2163,2201,2233,2253,2289,2308,2336,2354,2386,2406,2440,2463,2488,2509,2535,2562,2591,2616,2640,2673,2689,2706,2729,2744,2765,2786,2811,2840,2864,2891,2905,2926,2943,2967,2991,3014,3033,3057,3083,3100,3130,3151,3172,3191,3208,3237,3258,3274,3303,3324,3345,3365,3384,3393,3418,3440,3473,3488,3508,3518,3541,3572,3604,3628,3663,3689,3709,3734,3763,3799,3829,3871,3898,3936,3981,4018,4058,4106,4151,4188,4224,4265,4307,4347,4377,4409,4439,4467,4500,4546,4596,4635,4677,4720,4747,4780,4821,4862,4892,4924,4972,5015,5062,5115,5171,5237,5301,5365,5420,5479,5543,5599,5669,5740,5831,5926,6015,6091,6191,6300,6401,6500,6595,6686,6778,6882,7001,7115,7229,7343,7471,7592,7711,7842,7965,8110,8246,8404,8548,8688,8840,8986,9144,9290,9445,9618,9792,9970,10147,10315,10488,10687,10883,11078,11284,11510,11734,11979,12209,12453,12682,12933,13217,13501,13792,14072,14375,14695,14999,15318,15621,15972,16321,16667,17008,17372,17723,18085,18463,18819,19179,19556,19968,20368,20805,21237,21711,22190,22692,23236,23774,24349,24906,25477,26079,26758,27436,28092,28824,29621,30283,30967,31783,32551,33369,34137,34918,35696,36510,37357,38195,39113,40014,40938,41864,42889,43981,44988,46035,47177,48326,49520,50821,52154,53517,54839,56261,57669,59118,60603,62143,63642,65085,66590,68142,69722,71269,72892,74493,76198,77842,79540,81276,82987,84658,86364,88231,90022,91814,93583,95421,97190,98963,100779,102574,104420,106318,108230,110120,112045,113988,116000,118004,120130,122208,124292,126447,128674,130957,133260,135570,137898
1,1,1,1,1,1,1,1,1,3,3,3,3,4,5,5,6,8,10,12,14,14,16,20,23,27,28,32,39,41,44,50,54,59,64,70,73,83,87,93,99,101,107,111,121,129,130,138,144,149,153,157,160,164,167,170,171,177,181,185,192,197,202,204,207,210,214,221,222,226,231,231,235,239,243,244,247,251,253,255,257,257,259,262,266,273,273,278,279,283,288,296,298,300,302,307,317,323,329,336,340,347,350,354,363,370,379,388,392,399,412,421,428,434,439,446,459,466,483,493,513,520,531,537,548,556,577,601,614,633,642,662,680,698,719,741,762,779,793,814,836,862,880,899,918,937,955,979,1001,1028,1052,1086,1111,1132,1167,1192,1225,1258,1291,1325,1363,1390,1424,1456,1494,1532,1564,1604,1645,1689,1722,1769,1824,1867,1916,1969,2027,2090,2150,2208,2257,2312,2351,2413,2474,2530,2588,2650,2724,2789,2861,2925,2995,3070,3140,3231,3293,3359,3437,3500,3572,3650,3729,3787,3866,3943,4051,4150,4252,4330,4425,4528,4656,4764,4890,5004,5125,5241,5368,5509,5652,5797,5907,6055,6191,6341,6491,6631,6788,6952,7106,7241,7398,7566,7748,7932,8117,8303,8483,8680,8902,9131,9373,9639,9886,10129,10395,10675,10946,11224,11526,11851,12179,12498,12818,13107,13401,13714,14042,14386,14748,15104,15472,15868,16275,16676,17061,17485,17932,18413,18859,19298,19765,20240,20707,21192,21665,22154,22664,23179,23659,24231,24714,25202,25676,26140,26660,27214,27762,28295,28821,29400,29960,30497,31080,31655,32238,32825,33386,34008,34696,35330,35961,36600,37292,37983,38675,39348,40041,40773,41532,42286,43088,43898,44692,45445,46261,47061,47854,48649,49477,50381,51232,52072,52906,53756,54714,55649,56568,57576,58571,59565,60591,61687,62780,63879,65050,66207,67360,68571,69797,71001,72255,73595,74908,76307,77721,79157,80546,82036,83446,84963,86447,88068,89653,91259,92907,94578,96218,97972,99673,101523,103255,105047,106970,108756,110721,112554,114500,116520,118606,120707,122781,124950,127246,129509,131818,134168,136505,139005,141528,144066,146589,149216,151964,154651,157366,160212,163134,166009,168960,171904,174918,178021,181084,184214,187275,190550,193805,197147,200511,203945,207360,210936,214645,218420,222247,226091,230026,234070,238057,242111,246356,250579,254958,259393,264124,268738,273333,278065,282937,287842,292746,297703,302653,307720,312878,318217,323737,329306,334800,340560,346339,352179,358113,364271,370343,376736,383296,390026,396463,403085,409820,416756,423717,430900,438040,445324,452925,460475,468119,475918,484044,492155,500582,509105,517547,526011,534847,543879,553190,562438,571879,581482,591187,600941,610780,620753,630830,641199,651420,661801,672526,683323,694305,705540,716957,728497,740058,751747,763788,775810,788240,801011,813645,826479,839816,853054,866379,880088,893739,907693,921588,935577,949935,964556,978989
1,1,2,2,3,3,3,4,4,6,7,9,11,13,14,15,15,16,16,17,18,19,19,19,19,20,20,22,26,28,30,33,34,36,37,38,42,47,49,59,64,70,78,86,88,94,98,102,107,113,121,127,134,140,143,153,159,167,181,191,200,206,216,237,261,277,297,319,331,352,366,392,410,427,450,479,507,536,563,582,609,647,677,716,751,783,820,853,882,912,947,982,1006,1034,1049,1072,1098,1127,1148,1174,1190,1208,1226,1238,1249,1268,1286,1296,1313,1328,1350,1371,1385,1399,1414,1436,1455,1473,1483,1505,1530,1552,1579,1590,1608,1628,1662,1702,1724,1749,1767,1802,1839,1876,1909,1936,1967,1991,2006,2038,2060,2090,2118,2156,2189,2210,2233,2258,2278,2293,2314,2342,2358,2380,2401,2427,2441,2464,2504,2527,2560,2590,2628,2658,2689,2717,2755,2789,2827,2869,2907,2950,2984,3026,3064,3090,3126,3164,3197,3235,3282,3309,3347,3380,3418,3449,3502,3536,3569,3611,3649,3689,3730,3771,3813,3852,3884,3932,3967,4007,4036,4075,4125,4160,4195,4243,4276,4315,4362,4396,4433,4492,4540,4574,4605,4651,4685,4734,4792,4836,4876,4911,4958,4998,5038,5085,5133,5175,5226,5292,5341,5396,5442,5494,5557,5604,5639,5688,5737,5787,5837,5885,5930,5974,6022,6069,6109,6156,6200,6241,6289,6328,6373,6418,6468,6519,6576,6637,6688,6744,6815,6895,6960,7030,7092,7156,7242,7318,7402,7470,7563,7636,7711,7792,7862,7934,8025,8098,8176,8272,8354,8423,8499,8573,8649,8714,8788,8869,8938,9010,9088,9173,9244,9345,9430,9539,9641,9747,9857,9956,10064,10179,10276,10389,10511,10638,10747,10867,10976,11095,11219,11335,11463,11584,11706,11831,11980,12135,12252,12405,12553,12690,12847,12996,13163,13321,13481,13643,13839,14028,14183,14342,14522,14698,14893,15098,15316,15515,15697,15913,16129,16332,16553,16787,17018,17268,17494,17732,17982,18228,18518,18806,19076,19374,19688,20020,20367,20720,21127,21523,21913,22309,22743,23194,23695,24211,24771,25373,25950,26528,27136,27791,28527,29289,30020,30735,31521,32316,33151,33966,34763,35617,36465,37298,38203,39114,40041,40987,42007,43027,43996,45005,45979,46994,48056,49111,50243,51409,52585,53816,55041,56338,57676,58995,60326,61701,63134,64550,66010,67490,69000,70490,72003,73508,75015,76525,78110,79775,81331,83016,84744,86404,88128,89826,91563,93322,95050,96876,98711,100590,102481,104374,106347,108379,110496,112622,114863,117151,119454,121828,124258,126705,129225,131751,134350,136983,139625,142377,145102,147937,150677,153473,156337,159171,162073,164925,167866,170744,173760,176782,179816,182762,185885,189048,192297,195509,198822,202176,205633,209177,212780,216507,220259,223998,227858,231710,235509,239472,243585,247667,251797,256076,260378,264734,269255,273876,278450,283171,287823,292702,297626,302746,307789,312908,318188,323477,328980
1,1,1,1,1,1,3,3,3,4,6,7,7,8,9,10,10,12,13,15,16,18,18,21,21,21,21,21,22,24,26,28,29,29,31,31,32,35,36,37,40,41,46,50,52,52,55,62,67,71,78,79,85,89,92,99,104,105,113,117,120,126,130,132,135,138,144,150,153,155,160,164,171,175,178,179,183,188,197,207,217,225,235,248,261,273,288,296,306,320,326,341,364,386,407,434,463,489,527,559,588,619,645,689,719,748,772,816,862,915,960,1006,1053,1104,1161,1216,1286,1350,1417,1499,1579,1671,1760,1860,1952,2057,2157,2270,2389,2513,2649,2777,2899,3038,3177,3322,3464,3613,3783,3936,4112,4298,4480,4708,4925,5154,5366,5578,5790,5986,6194,6439,6673,6904,7132,7369,7616,7861,8105,8353,8604,8847,9123,9404,9676,9931,10185,10450,10741,11056,11364,11643,12001,12355,12703,13056,13446,13844,14213,14579,15017,15457,15887,16294,16705,17146,17615,18078,18536,19027,19511,20000,20492,21030,21578,22108,22629,23214,23768,24299,24894,25505,26070,26653,27279,27919,28545,29173,29841,30509,31178,31845,32531,33204,33904,34611,35276,36038,36730,37427,38166,38876,39661,40412,41136,41839,42600,43368,44105,44911,45700,46494,47251,48056,48883,49699,50560,51390,52290,53203,54157,55100,56141,57080,58042,59058,60174,61287,62426,63570,64663,65741,67016,68229,69459,70684,71884,73114,74365,75567,76789,78049,79333,80645,81935,83240,84580,85988,87420,88812,90284,91844,93380,94996,96670,98405,100086,101909,103672,105481,107340,109247,111184,113056,114982,116950,118914,120948,122832,124973,127003,129130,131256,133405,135651,137772,140019,142402,144734,147137,149568,152025,154440,156857,159445,162117,164779,167460,170265,173144,175978,178696,181537,184482,187513,190589,193762,196937,200133,203376,206821,210270,213826,217273,220830,224401,228183,231966,235823,239727,243659,247714,251788,255863,260040,264284,268600,272914,277309,281893,286357,290950,295636,300521,305417,310593,315756,321130,326502,331899,337536,343347,349172,355193,361200,367209,373209,379480,385913,392321,398924,405539,412338,419336,426403,433469,440784,448139,455664,463326,471166,479130,487194,495441,504022,512405,521120,529778,538872,547836,556926,566049,575421,584913,594389,604315,614223,624349,634594,645006,655553,666181,677024,688010,699196,710633,721988,733434,745108,757104,769032,781129,793498,805864,818484,831400,844343,857385,870769,884352,898052,911882,925867,940064,954470,968553,982930,997491,1012398,1027432,1042828,1058402,1073961,1089708,1105622,1121669,1137692,1153632,1170107,1186497,1203141,1219906,1236583,1253287,1270434,1287595,1304898,1322279,1339961,1357780,1375778,1393943,1412077,1430363,1448774,1467188,1485802,1504333,1522957,1541540,1560131,1578991,1598186,1617564,1636907,1656238,1675685,1695070,1714841,1734575,1754076,1774303,1794535,1814779,1835090,1855751,1876469,1897558,1918526,1939691,1960891,1982361,2003919,2025640,2047402,2069244,2091413,2113715,2136115,2158705,2181828,2204794,2227864,2251090,2274420,2297949,2321325,2345085,2368923,2393280,2417567,2441634,2465661,2489943,2514269,2538765,2563179
1,1,1,1,1,1,1,1,2,3,5,5,6,7,9,10,14,16,20,25,28,29,36,42,45,49,51,56,63,70,74,76,82,91,100,105,109,116,127,132,138,148,157,164,171,176,184,196,205,212,227,241,249,259,270,282,295,308,324,339,358,366,381,393,408,424,441,462,481,494,507,524,541,554,570,586,599,621,639,661,678,707,736,758,782,797,817,839,860,880,913,942,980,1015,1034,1058,1086,1115,1145,1177,1203,1232,1270,1310,1354,1399,1444,1478,1520,1561,1595,1638,1688,1739,1791,1835,1890,1946,1993,2051,2108,2158,2223,2287,2365,2435,2505,2558,2629,2692,2735,2814,2890,2963,3040,3111,3185,3266,3324,3390,3461,3553,3623,3692,3772,3862,3927,4010,4089,4169,4257,4361,4447,4552,4643,4749,4855,4961,5067,5147,5258,5364,5466,5578,5699,5823,5938,6065,6180,6321,6484,6641,6814,6996,7199,7401,7622,7875,8112,8360,8626,8900,9167,9412,9664,9952,10250,10543,10831,11125,11439,11742,12097,12459,12840,13193,13568,13980,14377,14786,15136,15564,15975,16400,16878,17412,17917,18468,18998,19650,20355,21020,21678,22335,23101,23921,24659,25411,26216,27001,27818,28597,29468,30293,31083,31904,32692,33504,34302,35124,35937,36741,37562,38351,39188,40032,40874,41706,42555,43436,44273,45165,46049,46996,47956,48887,49848,50855,51834,52817,53819,54889,55958,57048,58150,59276,60428,61553,62768,64006,65276,66520,67873,69249,70694,72139,73623,75105,76623,78199,79886,81517,83165,84990,86709,88518,90411,92261,94288,96312,98310,100456,102774,105083,107496,109916,112469,115141,117835,120583,123352,126199,129028,131973,134907,137878,140849,143863,146886,149858,152978,156111,159286,162401,165688,168970,172308,175729,179235,182699,186268,189864,193614,197512,201550,205602,209762,214113,218527,222990,227432,232069,236787,241608,246643,251734,256911,262219,267651,272985,278628,284330,290309,296188,302123,308261,314377,320876,327197,333717,340268,346984,353718,360514,367553,374523,381844,389160,396629,404114,411744,419440,427069,435028,443033,451046,459450,467836,476474,485200,493978,503116,512226,521516,530784,540175,549767,559416,569148,578915,588751,598841,609141,619603,630056,640873,651997,663060,674309,685705,697034,708491,720238,731929,744028,756248,768779,781110,793748,806386,819268,832158,845260,858777,872174,885865,899828,913848,928169,942553,957078,971842,986782,1001945,1017053,1032645,1048485,1064457,1080850,1097285,1113802,1130427,1147435,1164681,1181742,1198921,1216468,1234169,1252033,1269927,1287832,1305913,1324581,1343025,1361661,1380311,1399583,1418941,1438150,1457665,1477530,1497127,1517176,1537521,1557808,1578089,1598696,1619540,1640356,1661411,1682437,1704047,1725502,1747197,1769036,1791219,1813458,1835999,1858538,1881394,1904466,1927243,1950612,1973968,1996914,2019874,2043011,2066509,2090058,2113687,2137756,2161542,2185610,2209699,2233984,2258289,2282713,2307151,2331632,2356521,2381202,2406210,2431640,2456800,2482103,2507364,2532680,2558346,2583857,2609134,2634609,2660354,2686281,2712114,2738010,2764105,2790183,2816042,2842152,2868504,2894711,2920935,2947507,2973988,3000476,3027205,3053730
1,1,1,1,1,1,4,4,4,8,11,13,16,16,18,19,19,19,21,25,26,30,34,38,40,44,49,56,61,65,68,74,77,87,95,101,111,119,133,143,148,161,165,171,179,197,208,219,234,244,260,274,292,300,315,318,335,350,366,378,396,412,429,450,461,479,495,513,530,553,578,599,624,658,679,705,732,744,771,798,823,853,877,912,942,973,1006,1030,1061,1090,1111,1143,1163,1200,1233,1263,1300,1328,1352,1380,1414,1464,1496,1532,1564,1588,1621,1646,1676,1709,1749,1781,1810,1844,1887,1930,1961,2001,2040,2079,2109,2147,2181,2224,2260,2303,2351,2388,2429,2467,2520,2565,2611,2655,2720,2773,2832,2899,2956,3017,3087,3159,3218,3281,3347,3438,3528,3626,3716,3852,3935,4074,4224,4375,4542,4699,4859,5041,5243,5423,5631,5840,6058,6265,6467,6686,6889,7105,7264,7454,7657,7839,8030,8245,8407,8581,8769,8937,9123,9273,9463,9658,9850,10001,10174,10334,10528,10713,10918,11104,11283,11472,11695,11892,12115,12294,12510,12714,12906,13132,13352,13581,13817,14016,14264,14499,14704,14935,15167,15429,15666,15892,16094,16325,16549,16770,16992,17213,17432,17683,17924,18159,18410,18644,18902,19114,19326,19591,19841,20094,20363,20648,20936,21210,21477,21740,22024,22300,22554,22841,23118,23394,23667,23953,24229,24520,24824,25094,25403,25712,26066,26380,26694,27046,27398,27763,28144,28477,28918,29380,29814,30253,30732,31245,31776,32280,32819,33368,33939,34540,35117,35729,36367,37013,37728,38408,39118,39892,40579,41325,42100,42839,43621,44376,45164,45926,46660,47382,48118,48883,49579,50342,51097,51864,52661,53504,54386,55267,56132,57010,57911,58787,59729,60648,61630,62618,63608,64593,65587,66608,67612,68689,69769,70798,71908,73037,74171,75284,76464,77607,78777,80042,81322,82607,83928,85204,86513,87906,89219,90647,92049,93565,95115,96693,98271,99912,101636,103360,105094,106938,108822,110717,112738,114704,116728,118848,121057,123251,125517,127796,130143,132424,134850,137314,139793,142394,145040,147686,150368,153057,155801,158535,161507,164439,167435,170431,173425,176600,179870,183306,186681,190251,193646,197134,200843,204603,208430,212393,216369,220375,224631,228817,232952,237285,241808,246302,250756,255472,260014,264751,269643,274480,279341,284452,289712,294766,300101,305359,310707,316206,321808,327505,333459,339322,345433,351538,357717,364066,370578,377127,383881,390755,397901,405243,412819,420260,427919,435746,443845,452070,460348,468740,477302,486009,494920,503752,512810,522063,531589,541130,550732,560396,570162,580171,590160,600274,610430,620845,631519,641834,652687,663504,674512,685452,696521,707742,719117,730950,742582,754372,766317,778287,790280,802478,814756,827217,839863,852611,865425,878470,891453,904380,917721,931176,944898,958504,972385,986437,1000550,1014774,1029182,1043799,1058397,1073161,1088270,1103499,1118984,1134658,1150342,1166468,1182649,1199061,1215581,1232248,1249124,1265981,1283267,1300614,1318079,1335769,1353461,1371200,1388936,1407022,1425147,1443246,1461441
1,1,1,1,2,3,3,5,5,6,7,7,7,8,8,9,9,9,9,14,14,14,14,15,15,16,19,20,22,22,22,22,30,30,33,36,38,44,50,57,60,68,71,75,77,81,88,91,96,107,111,111,115,117,118,121,126,130,135,137,138,141,145,146,148,151,154,158,159,160,163,165,166,169,171,172,173,176,178,180,184,184,187,190,191,192,195,197,199,201,204,206,208,212,213,214,215,218,228,236,237,241,243,245,253,258,266,274,280,285,290,299,302,314,318,324,331,337,341,348,357,367,372,378,387,395,405,417,426,435,440,445,456,464,480,488,504,516,530,546,561,579,602,618,630,652,676,695,714,731,749,777,806,829,850,873,897,921,942,963,982,1007,1028,1056,1075,1095,1118,1141,1153,1172,1194,1211,1228,1248,1273,1296,1312,1325,1357,1374,1389,1406,1420,1443,1468,1489,1512,1533,1551,1573,1595,1621,1642,1676,1717,1739,1766,1790,1828,1863,1891,1925,1974,2012,2052,2081,2114,2148,2203,2241,2289,2338,2387,2436,2478,2526,2566,2590,2646,2686,2748,2788,2837,2882,2931,2966,3000,3044,3081,3115,3162,3214,3254,3291,3329,3358,3390,3428,3470,3515,3552,3585,3622,3658,3684,3722,3758,3804,3841,3882,3918,3953,3994,4033,4060,4095,4133,4174,4210,4252,4285,4317,4347,4375,4408,4445,4473,4519,4550,4594,4634,4675,4707,4743,4779,4817,4857,4888,4917,4959,5001,5039,5070,5101,5133,5175,5215,5255,5306,5348,5390,5422,5451,5482,5511,5543,5570,5609,5640,5673,5697,5724,5750,5772,5793,5827,5855,5880,5898,5919,5951,5976,6009,6031,6056,6077,6106,6131,6166,6188,6212,6230,6247,6269,6297,6320,6352,6378,6407,6436,6467,6492,6525,6555,6583,6609,6648,6680,6709,6737,6758,6784,6810,6826,6859,6879,6909,6937,6963,6994,7017,7043,7072,7094,7127,7159,7185,7233,7269,7303,7353,7391,7426,7456,7496,7545,7578,7614,7664,7712,7754,7784,7832,7863,7901,7937,7974,8006,8036,8060,8108,8154,8202,8230,8278,8309,8355,8394,8430,8464,8502,8540,8578,8619,8642,8684,8729,8766,8798,8839,8875,8921,8957,8995,9034,9087,9131,9176,9216,9257,9306,9358,9415,9467,9513,9564,9631,9695,9745,9804,9861,9926,9991,10058,10137,10196,10252,10299,10379,10422,10481,10551,10625,10692,10769,10853,10938,11021,11108,11194,11261,11341,11422,11530,11629,11736,11855,11945,12076,12210,12319,12437,12543,12657,12775,12875,13013,13135,13269,13393,13517,13651,13760,13911,14033,14168,14282,14422,14575,14710,14851,15004,15145,15293,15457,15614,15778,15977,16135,16325,16518,16705,16901,17110,17308,17514,17741,17965,18223,18433,18673,18921,19161,19415,19665,19902,20176
1,1,1,2,2,3,5,5,5,7,9,10,11,13,16,16,18,18,20,21,26,30,33,39,41,43,47,52,58,65,66,67,71,75,77,78,79,79,81,81,83,85,87,90,92,93,94,94,96,99,100,101,102,104,106,109,112,113,115,120,122,127,128,130,131,131,131,131,137,140,141,141,144,145,147,153,154,155,156,156,157,158,159,159,159,161,163,163,164,168,170,170,170,173,175,175,175,175,175,178,179,181,181,183,184,186,187,190,190,191,192,194,194,195,195,195,196,196,196,197,197,198,198,198,199,200,200,201,201,201,201,201,201,202,202,203,205,205,205,205,205,206,206,206,206,207,207,207,208,208,208,208,208,208,208,209,209,209,210,210,211,211,212,214,215,215,215,215,215,218,221,222,222,222,223,223,225,227,228,228,231,233,234,237,239,239,241,242,242,245,245,247,252,254,257,259,261,261,261,263,265,267,270,274,278,282,285,291,294,297,300,302,305,306,312,320,323,328,330,334,344,349,353,359,364,369,370,373,377,377,381,385,388,389,392,394,398,398,399,401,407,410,413,416,422,426,429,432,434,441,443,448,452,458,462,464,474,481,486,494,500,504,508,514,521,525,533,536,547,555,568,580,593,605,617,626,628,635,648,657,669,678,687,697,711,718,729,745,749,766,785,807,827,852,870,887,903,921,949,981,1018,1043,1076,1120,1165,1211,1247,1293,1338,1394,1440,1490,1534,1584,1622,1665,1701,1744,1777,1813,1864,1920,1954,2003,2043,2085,2126,2176,2213,2271,2335,2403,2473,2560,2639,2719,2813,2921,3045,3163,3297,3429,3598,3745,3886,4028,4177,4350,4494,4626,4774,4930,5106,5260,5434,5570,5713,5883,6033,6191,6345,6505,6647,6795,6923,7077,7224,7395,7561,7758,7934,8138,8314,8506,8718,8918,9120,9311,9503,9710,9903,10107,10317,10524,10736,10924,11138,11328,11511,11714,11893,12063,12250,12444,12640,12831,13016,13213,13424,13626,13827,14013,14195,14417,14606,14778,14969,15193,15383,15588,15791,15992,16205,16409,16648,16878,17099,17337,17615,17909,18176,18451,18750,19089,19411,19761,20081,20433,20786,21152,21523,21911,22276,22682,23113,23527,23936,24318,24748,25134,25538,25941,26387,26779,27238,27706,28162,28647,29104,29580,30094,30615,31107,31660,32240,32849,33484,34115,34799,35488,36167,36907,37621,38431,39261,40024,40921,41805,42738,43624,44548,45561,46528,47566,48558,49653,50761,51791,52893,54026,55158,56368,57584,58779,60027,61282,62521,63833,65228,66692,68238,69794,71292,72932,74555,76223,77908
1,1,1,1,1,1,2,3,3,4,5,7,9,11,12,15,17,19,28,35,40,44,50,52,57,62,66,70,76,86,92,94,103,108,113,117,121,126,127,133,139,148,158,163,174,182,192,203,221,231,246,265,277,292,310,332,348,368,385,412,432,453,485,511,531,557,589,626,667,702,733,775,815,848,901,937,970,1023,1063,1113,1155,1217,1266,1303,1362,1407,1478,1529,1584,1624,1687,1740,1797,1868,1921,1974,2029,2093,2149,2192,2256,2318,2401,2470,2535,2614,2692,2778,2861,2968,3069,3175,3306,3456,3577,3701,3826,3984,4140,4304,4476,4646,4810,4982,5159,5322,5492,5699,5853,6030,6209,6367,6529,6680,6851,7007,7171,7299,7450,7597,7747,7880,8022,8181,8320,8479,8652,8806,8997,9196,9378,9562,9752,9948,10146,10350,10576,10835,11087,11345,11660,11916,12171,12465,12746,13038,13349,13656,13941,14260,14551,14856,15164,15488,15800,16125,16491,16848,17199,17578,17972,18346,18681,19066,19432,19866,20316,20772,21253,21725,22213,22689,23190,23747,24300,24837,25425,26000,26647,27286,28017,28662,29434,30157,30948,31698,32503,33303,34191,35168,36013,36956,37879,38855,39830,40837,41839,42892,43998,45171,46312,47506,48734,49934,51178,52500,53760,55043,56399,57833,59258,60641,62079,63578,65114,66729,68277,69781,71379,72990,74624,76356,77981,79712,81520,83325,85201,86965,88826,90750,92815,94814,96794,98902,100965,103057,105185,107456,109684,111976,114287,116551,118867,121317,123759,126097,128583,131090,133705,136311,138868,141539,144315,147121,149983,152881,155818,158740,161771,164910,168050,171248,174520,177858,181229,184778,188278,191845,195441,199150,202895,206697,210526,214471,218498,222445,226391,230389,234538,238732,243020,247451,251876,256410,261129,265933,270736,275599,280554,285589,290722,296058,301482,307045,312539,318175,323833,329557,335542,341560,347738,354052,360344,366845,373255,379982,386710,393590,400539,407442,414567,421789,429088,436515,444215,451987,459709,467621,475831,484195,492507,500792,509293,518165,526900,535691,544747,554009,563276,572837,582569,592335,602400,612533,622693,632992,643551,654412,665155,676032,687219,698702,710223,721932,733757,745533,757479,769639,782114,794545,807112,819690,832834,845903,858996,872307,885688,899158,912913,926688,940744,954859,969000,983264,997855,1012711,1027501,1042434,1057592,1073017,1088712,1104401,1120296,1136083,1152117,1168426,1184725,1201213,1218023,1234946,1252121,1269216,1286680,1304116,1321642,1339511,1357491,1375734,1393980,1412355,1430941,1449791,1468859,1487794,1506860,1526441,1545994,1565480,1585023,1604890,1624904,1644985,1665259,1685553,1706022,1726419,1746955,1768007,1789096,1809988,1831146,1852259,1873636,1895159,1916962,1938901,1960710,1982836,2004928,2027275,2049699,2072479,2095118,2117920,2140920,2163982,2187036,2210170,2233310,2256938,2280094,2303670,2327074,2350873,2374825,2398829,2422669,2446653,2470672,2494787,2519095,2543796,2568268,2592659,2617669,2642910,2667872,2692936,2718510,2744414,2770087,2795951,2822138,2848112,2874272,2900490,2927108,2953542,2980085,3006579,3033164,3060107,3086869,3113961,3141076,3168070,3195219,3222163,3249311,3276767,3304004,3331688,3359277,3386775,3414833,3442636,3470509
1,1,1,1,1,1,3,3,3,4,6,8,9,13,13,19,23,25,27,30,34,37,39,46,57,61,65,73,80,86,96,102,108,113,118,124,128,133,137,138,143,146,148,151,157,166,169,174,178,181,185,189,198,201,209,214,217,231,235,240,245,247,251,256,264,271,278,284,291,305,315,318,327,339,347,353,360,366,373,380,389,396,401,409,412,416,423,427,437,440,450,453,460,465,477,485,492,498,503,507,515,517,525,529,533,539,541,542,545,552,558,564,566,570,573,575,579,583,586,591,593,596,596,596,597,599,601,602,603,604,606,607,609,610,610,613,614,616,618,620,620,623,623,625,625,625,629,629,630,632,632,632,635,636,636,637,637,640,641,643,643,644,645,648,649,652,656,656,657,659,663,667,671,672,673,678,681,681,683,686,688,691,697,699,703,708,711,715,717,719,727,729,733,742,746,750,753,758,767,774,782,784,791,794,799,804,808,811,811,814,818,820,821,822,825,827,828,829,833,836,839,840,844,846,850,853,858,861,865,872,879,881,887,894,908,914,925,936,949,956,964,976,985,996,1004,1014,1032,1048,1065,1085,1100,1119,1137,1162,1175,1189,1214,1239,1264,1292,1314,1345,1366,1386,1423,1457,1483,1511,1550,1569,1590,1630,1662,1710,1755,1801,1838,1879,1923,1975,2012,2053,2110,2156,2205,2250,2304,2364,2413,2468,2525,2576,2647,2700,2754,2808,2861,2928,2999,3075,3145,3222,3285,3374,3467,3559,3663,3756,3845,3954,4054,4164,4259,4375,4504,4629,4783,4925,5072,5213,5397,5579,5784,5996,6250,6492,6732,6993,7282,7553,7827,8080,8354,8622,8916,9212,9510,9801,10079,10344,10636,10931,11246,11547,11939,12346,12725,13171,13575,14027,14457,14954,15391,15849,16272,16679,17110,17549,17957,18402,18814,19246,19648,20067,20510,20943,21429,21941,22460,22982,23490,23961,24476,25017,25602,26117,26698,27308,27950,28589,29232,29873,30605,31360,32070,32738,33444,34186,34919,35635,36341,37089,37832,38579,39365,40177,40868,41599,42375,43130,43997,44826,45706,46568,47457,48386,49373,50367,51387,52396,53438,54484,55585,56616,57647,58668,59753,60889,62024,63121,64246,65294,66423,67535,68664,69875,71022,72250,73402,74539,75761,76991,78273,79529,80822,82145,83442,84748,86082,87406,88803,90194,91634,93115,94589,96065,97640,99138,100712,102316,103979,105616,107337,109093,110898,112733,114668,116597,118594,120635,122652,124745,126792,128890,130992,133251,135493,137747,140010,142370,144875,147310,149698,152150,154647,157215,159862,162483,165050,167778,170629,173377,176252,179169,182224,185375,188529,191768,194989,198200,201632,205184,208748,212315,215942,219565,223326
1,1,1,1,1,1,2,2,3,4,5,5,5,5,5,7,9,11,13,13,16,17,18,19,20,25,27,33,36,40,44,47,52,58,62,67,69,76,82,85,87,90,94,97,99,104,109,115,120,124,131,136,141,147,151,157,160,162,164,166,166,169,169,173,173,179,183,185,192,195,200,200,203,205,208,208,208,210,214,216,221,226,228,231,234,239,242,243,250,252,253,259,265,270,277,287,292,302,309,318,324,332,336,344,348,353,358,364,371,383,394,398,407,412,424,425,436,448,455,463,474,477,482,486,490,498,501,504,515,528,534,543,548,552,559,567,575,579,585,590,594,600,606,611,614,616,621,628,634,641,645,649,652,656,657,661,665,675,683,691,694,697,699,703,706,708,715,717,721,726,730,737,745,752,761,769,783,790,797,808,815,822,836,847,858,867,879,895,906,917,929,946,957,971,982,995,1007,1023,1037,1052,1072,1091,1106,1123,1137,1162,1178,1197,1225,1248,1265,1299,1330,1360,1386,1405,1432,1464,1497,1529,1560,1589,1619,1659,1697,1724,1769,1804,1835,1888,1925,1974,2025,2062,2112,2159,2207,2263,2321,2385,2442,2492,2553,2608,2670,2739,2804,2880,2945,2998,3077,3152,3230,3314,3385,3465,3545,3645,3741,3851,3954,4062,4181,4320,4440,4565,4690,4833,4993,5146,5299,5452,5630,5817,6046,6276,6505,6731,6952,7220,7471,7770,8045,8333,8612,8928,9246,9527,9922,10288,10670,11053,11472,11899,12404,12894,13408,13917,14481,15020,15632,16189,16727,17274,17853,18469,19068,19742,20421,21111,21811,22601,23329,24079,24937,25740,26648,27508,28376,29310,30204,31126,32136,33078,34012,34954,35888,36828,37752,38770,39698,40640,41611,42553,43544,44607,45602,46586,47585,48600,49612,50733,51802,52968,54110,55222,56435,57608,58823,60072,61314,62560,63905,65296,66713,68127,69584,71075,72522,74022,75581,77183,78773,80494,82128,83826,85552,87287,89192,91025,92854,94677,96703,98765,100893,103007,105159,107388,109665,111986,114317,116725,119127,121621,124094,126625,129198,131820,134511,137311,140151,143029,145766,148591,151390,154195,157037,159960,162829,165820,168744,171700,174686,177778,181040,184253,187470,190804,194261,197764,201373,205029,208770,212566,216536,220448,224522,228756,232953,237428,241785,246311,250800,255343,259959,264499,269218,274033,279082,284262,289398,294555,299819,305210,310639,316342,322055,327912,333822,339842,345999,352138,358325,364590,371076,377390,383731,390158,396645,403369,410017,416745,423565,430477,437295,444169,451100,458244,465582,472982,480699,488316,495956,504007,512070,520326,528773,537223,545684,554424,563029,571786,580717,589897,598843,608056,617122,626418,635813,645222,654769,664586,674508,684678,694659,704701,714893,725311,735602,746097,756919,767721,778654,789695,801025,812342,823875
1,1,1,2,3,7,8,10,12,12,14,15,15,15,18,19,20,22,24,24,24,28,29,31,35,38,42,49,55,58,63,65,70,78,81,84,90,95,101,108,117,123,128,140,149,156,164,172,187,198,212,225,232,243,246,254,264,272,280,294,306,317,333,338,345,366,382,395,402,414,426,441,451,467,479,492,510,534,548,568,587,610,622,640,649,670,696,712,735,762,791,812,845,871,911,933,967,1000,1028,1066,1114,1144,1176,1223,1277,1320,1369,1424,1467,1529,1595,1635,1683,1738,1785,1831,1874,1924,1971,2019,2063,2115,2165,2200,2250,2291,2330,2364,2397,2436,2466,2495,2530,2576,2619,2657,2696,2746,2786,2832,2876,2925,2978,3012,3057,3106,3174,3226,3276,3341,3392,3462,3517,3577,3655,3722,3798,3869,3935,3999,4056,4131,4206,4279,4361,4433,4504,4569,4644,4721,4790,4868,4947,5026,5092,5156,5243,5313,5380,5462,5537,5629,5700,5781,5866,5950,6014,6098,6154,6225,6306,6388,6484,6572,6687,6805,6920,7013,7122,7221,7315,7427,7561,7664,7793,7912,8032,8159,8285,8404,8536,8659,8798,8926,9066,9210,9367,9522,9685,9835,9992,10160,10319,10450,10593,10746,10926,11093,11266,11434,11598,11769,11942,12115,12290,12471,12645,12820,12989,13179,13388,13605,13832,14061,14278,14508,14801,15046,15338,15613,15871,16132,16414,16740,17044,17381,17714,18040,18354,18687,19046,19380,19710,20051,20406,20726,21088,21466,21817,22209,22562,22928,23341,23745,24155,24532,24935,25370,25782,26259,26680,27148,27614,28037,28537,29071,29560,30083,30576,31041,31548,32078,32602,33118,33636,34194,34739,35306,35871,36413,37018,37619,38192,38788,39384,40033,40657,41318,41972,42649,43335,44023,44729,45484,46188,46936,47681,48460,49224,50013,50803,51642,52542,53474,54396,55368,56330,57259,58286,59323,60407,61462,62509,63593,64732,65867,66999,68198,69400,70631,71907,73181,74450,75862,77304,78733,80349,81909,83538,85224,86961,88745,90597,92473,94325,96275,98194,100194,102226,104261,106430,108556,110672,112819,114964,117214,119442,121689,124099,126499,128850,131248,133797,136279,138814,141402,144082,146707,149452,152204,155094,157912,160820,163758,166686,169800,172977,176267,179625,183052,186512,190035,193651,197292,201020,204712,208609,212556,216530,220504,224441,228650,232895,237171,241414,245890,250234,254790,259384,264036,268819,273663,278595,283751,288861,294146,299519,305120,310648,316410,322211,328117,334157,340147,346217,352488,358847,365271,371645,378069,384619,391161,398024,404848,411667,418606,425876,432972,440250,447845,455387,462993,470717,478733,486747,494815,503160,511489,519829,528257,536920,545522,554471,563303,572340,581349,590797,600336,610042,619644,629479,639514,649716,659992,670352,680792,691483,702116,713001,723773,734790,745890,757242,768806,780413,792184,804124,816083,828398,840952,853477,865939,878985,891992,905153,918645,931872,945705,959461,973399,987466,1001434,1015530,1029892,1044557,1059020,1073837
1,1,1,1,1,3,5,6,6,8,9,11,12,13,13,13,13,13,17,20,22,23,26,32,35,37,40,45,46,47,50,54,55,58,62,65,69,69,76,83,88,93,99,104,105,111,119,123,131,135,139,144,148,155,161,168,181,189,196,201,209,214,225,233,244,254,262,270,278,283,290,304,312,319,329,339,346,350,355,367,372,379,386,395,401,407,412,423,431,439,447,462,466,478,484,494,508,516,522,540,548,557,570,585,595,609,618,632,643,660,665,679,695,709,718,736,747,758,772,802,825,840,857,874,896,917,932,953,987,1005,1030,1050,1074,1110,1134,1158,1177,1210,1233,1250,1275,1297,1319,1345,1361,1380,1399,1421,1449,1473,1502,1520,1541,1563,1585,1608,1628,1658,1686,1701,1715,1738,1755,1778,1798,1823,1841,1860,1884,1904,1930,1949,1973,1996,2023,2046,2069,2089,2117,2148,2176,2217,2243,2275,2302,2333,2364,2396,2424,2460,2486,2525,2574,2608,2637,2678,2712,2749,2794,2857,2889,2939,3001,3042,3089,3139,3189,3245,3310,3368,3420,3499,3559,3651,3730,3802,3883,3982,4071,4149,4236,4326,4405,4501,4610,4709,4810,4919,5011,5111,5209,5330,5430,5535,5652,5773,5889,6007,6136,6267,6407,6552,6698,6856,6994,7154,7327,7502,7694,7880,8091,8280,8495,8734,8962,9170,9422,9666,9909,10159,10431,10678,10965,11255,11554,11872,12169,12517,12826,13129,13485,13852,14188,14524,14864,15242,15594,15994,16374,16751,17136,17533,17934,18346,18725,19141,19551,19974,20375,20808,21225,21634,22106,22575,23021,23528,24040,24552,25108,25604,26141,26655,27173,27748,28306,28897,29474,30094,30744,31401,32049,32724,33451,34160,34904,35686,36442,37205,37929,38737,39581,40423,41354,42230,43219,44140,45118,46013,47020,47981,48974,49929,50995,52031,53064,54187,55251,56330,57413,58556,59698,60879,62109,63390,64653,65993,67340,68719,69998,71392,72797,74158,75623,76920,78321,79777,81218,82638,84044,85461,86906,88304,89733,91134,92684,94268,95773,97334,98786,100365,101993,103609,105236,106901,108585,110320,112178,114056,115885,117791,119738,121680,123776,125875,128060,130332,132652,134914,137185,139585,141998,144575,147083,149696,152386,155075,157795,160563,163443,166394,169319,172291,175342,178324,181393,184495,187707,190924,194232,197624,201131,204712,208298,211857,215585,219440,223421,227360,231247,235216,239259,243304,247414,251521,255669,259975,264085,268523,272903,277386,281986,286579,291406,296271,301191,306261,311368,316432,321815,326945,332358,337911,343394,348943,354667,360255,366008,371929,377974,384126,390341,396622,402823,409116,415449,421889,428609,435423,442438,449493,456587,463881,471254,478756,486419,494375,502437,510482,518635,526996,535411,544103,553110,562226,571362,580689,590095,599550,609135,618898,628917,639117,648923,659077,669372,679905,690450,701307,712142,723020,734019,745365,756677,768168,779747,791431,803404
1,1,1,1,2,3,4,5,8,8,8,8,8,8,8,8,9,10,12,13,18,23,24,25,26,28,34,35,37,44,46,49,52,56,59,62,66,67,72,76,81,83,86,91,93,98,103,110,113,119,120,123,124,127,132,137,141,149,153,157,163,165,171,175,180,185,189,195,200,211,221,224,228,233,242,252,261,266,273,277,284,290,294,303,307,309,310,315,321,326,329,333,338,340,347,353,358,362,365,372,378,383,386,391,394,396,402,407,410,420,423,429,433,439,446,451,454,459,466,475,482,493,503,510,517,527,533,545,552,559,571,579,587,599,605,616,621,630,637,643,651,653,660,667,676,680,693,705,711,717,724,735,740,746,749,760,765,774,781,789,797,811,821,832,841,851,868,880,896,907,919,933,945,961,972,987,1003,1021,1040,1052,1064,1080,1093,1113,1130,1143,1156,1174,1190,1200,1216,1232,1250,1267,1286,1306,1321,1331,1348,1363,1380,1393,1403,1420,1432,1450,1467,1479,1491,1506,1522,1538,1557,1580,1598,1616,1636,1659,1679,1700,1721,1732,1750,1780,1811,1831,1846,1878,1890,1912,1931,1944,1968,2000,2031,2065,2106,2140,2196,2255,2329,2427,2503,2591,2691,2787,2911,3022,3149,3264,3377,3502,3648,3788,3909,4044,4177,4303,4441,4582,4724,4908,5094,5324,5574,5841,6094,6375,6648,6961,7287,7569,7845,8133,8412,8686,8970,9232,9506,9749,10023,10305,10577,10820,11083,11321,11600,11835,12082,12349,12591,12845,13112,13344,13576,13789,14024,14283,14551,14825,15107,15399,15678,15961,16234,16536,16843,17121,17416,17698,18003,18290,18582,18863,19148,19416,19687,19965,20261,20534,20771,21020,21268,21575,21867,22130,22416,22722,22998,23286,23579,23883,24165,24485,24807,25092,25417,25774,26106,26457,26800,27189,27567,27958,28332,28716,29159,29595,30034,30489,30960,31419,31910,32416,32884,33402,33932,34508,35004,35567,36097,36687,37320,37954,38585,39218,39865,40548,41223,41931,42629,43350,44083,44842,45608,46389,47164,47983,48844,49673,50467,51310,52098,52931,53796,54688,55594,56527,57479,58476,59496,60502,61564,62628,63733,64912,66158,67360,68634,69864,71194,72532,73958,75425,76764,78211,79653,81088,82649,84262,85834,87464,89140,90759,92456,94267,96082,97908,99763,101621,103438,105382,107388,109392,111493,113573,115657,117676,119749,121909,124069,126299,128487,130714,132991,135324,137731,140219,142619,145162,147658,150238,152922,155689,158546,161367,164215,167139,170089,173128,176130,179494,182733,186034,189256,192655,195911,199337,202799,206373,210058,213767,217397,221048,224924,228800,232731,236591,240651,244753,248992,253207,257584,261907,266385,270978,275633,280443,285274,290029,295189,300202,305266,310605,315950,321355,326816,332460,338177,343995,349718,355556,361557,367634,373765,380169,386637
1,1,1,1,1,1,1,3,3,4,4,4,4,4,6,7,7,7,7,7,8,8,9,11,12,14,16,18,18,20,24,25,29,31,36,37,39,41,41,42,43,44,46,47,49,51,52,55,59,60,60,60,64,66,69,69,72,72,75,76,78,79,83,85,86,87,88,88,89,90,92,94,97,103,105,107,107,110,111,114,116,120,122,125,128,131,132,137,140,142,144,149,151,153,155,157,160,162,165,166,166,167,168,169,175,177,179,179,182,188,190,194,195,203,204,205,208,210,213,216,218,221,224,228,228,231,234,235,238,241,243,246,251,255,260,264,264,272,274,279,287,292,299,305,315,322,330,333,337,341,350,355,357,369,376,386,399,405,419,434,452,468,486,507,525,539,559,569,584,598,613,629,653,674,688,707,729,744,771,791,818,839,873,900,919,937,963,987,1010,1040,1064,1093,1121,1151,1180,1209,1248,1287,1312,1344,1375,1400,1435,1465,1489,1521,1549,1587,1614,1647,1677,1709,1736,1762,1796,1836,1862,1883,1929,1961,2000,2031,2071,2102,2134,2165,2187,2218,2244,2272,2309,2343,2375,2395,2427,2461,2488,2516,2561,2602,2631,2666,2714,2761,2798,2837,2871,2929,2971,3011,3054,3098,3132,3181,3226,3278,3328,3386,3428,3470,3524,3569,3618,3667,3719,3759,3821,3878,3947,4007,4057,4118,4175,4242,4314,4370,4427,4493,4567,4626,4694,4760,4833,4907,4997,5079,5160,5233,5291,5379,5431,5513,5578,5644,5710,5775,5831,5898,5996,6073,6148,6244,6334,6414,6505,6599,6705,6812,6921,7040,7159,7284,7441,7574,7721,7883,8072,8271,8429,8626,8787,8953,9130,9308,9492,9656,9861,10063,10275,10464,10673,10893,11092,11291,11542,11756,12010,12249,12498,12770,13004,13265,13521,13791,14099,14416,14729,15053,15356,15713,16068,16444,16784,17196,17619,18032,18473,18897,19348,19801,20241,20756,21231,21696,22184,22692,23183,23700,24282,24799,25430,26102,26736,27407,28144,28863,29634,30461,31301,32270,33228,34094,35074,36070,37041,38045,39041,40065,41093,42142,43225,44282,45356,46415,47473,48604,49755,50923,52094,53343,54626,55935,57254,58593,60043,61477,62892,64381,65833,67302,68837,70414,71956,73548,75138,76720,78273,79969,81590,83220,84913,86595,88328,90081,91872,93667,95499,97372,99261,101184,103091,104999,106921,108904,110903,113003,115048,117105,119170,121314,123560,125801,128163,130488,132954,135409,137851,140392,142957,145518,148143,150764,153500,156264,158945,161743,164583,167502,170363,173353,176371,179405,182576,185772,189028,192342,195802,199305,202798,206402,210070,213835,217684,221649,225673,229770,233919,238208,242599,247052,251470,256038,260569,265341,270139,274985,279984,285134,290325,295673,301083,306573,312191,318117,323983,329719,335646
1,1,2,3,3,4,6,7,7,7,7,8,9,10,12,13,18,21,26,26,29,33,35,41,44,47,54,58,62,69,75,80,83,88,94,98,105,111,121,128,133,135,137,140,144,147,150,150,154,156,159,161,166,167,172,175,176,178,180,184,186,190,193,198,200,205,211,215,221,224,228,235,242,247,256,265,276,284,297,305,315,323,333,338,349,361,377,391,404,413,420,431,444,454,462,477,492,497,503,516,529,538,549,564,578,590,600,607,618,633,644,655,664,680,691,700,712,718,727,737,750,765,775,781,792,810,818,827,839,857,872,887,901,917,930,945,967,983,1003,1029,1046,1066,1080,1104,1116,1144,1165,1194,1220,1246,1273,1291,1325,1360,1390,1429,1463,1510,1549,1593,1638,1686,1723,1773,1835,1897,1955,2016,2089,2166,2223,2285,2347,2430,2495,2564,2641,2710,2783,2862,2942,3012,3081,3160,3271,3360,3463,3558,3634,3727,3815,3914,4009,4105,4216,4338,4423,4554,4679,4809,4929,5054,5202,5345,5477,5627,5771,5923,6101,6230,6383,6545,6702,6863,7036,7201,7385,7559,7721,7893,8082,8246,8417,8597,8776,8979,9162,9372,9545,9758,9955,10198,10450,10686,10942,11184,11409,11648,11886,12148,12395,12671,12954,13226,13509,13787,14084,14396,14700,15042,15317,15622,15962,16255,16603,16941,17309,17656,18009,18356,18719,19107,19502,19876,20271,20699,21115,21540,21984,22452,22860,23289,23750,24220,24719,25206,25696,26208,26735,27199,27705,28274,28786,29289,29848,30439,31000,31534,32077,32620,33215,33793,34397,35001,35592,36236,36839,37513,38133,38832,39490,40150,40797,41495,42248,42985,43743,44476,45254,45989,46730,47505,48269,49112,49915,50764,51558,52398,53245,54086,54925,55773,56741,57669,58603,59583,60538,61533,62494,63436,64401,65361,66349,67348,68344,69436,70462,71516,72618,73711,74820,75955,77122,78307,79496,80662,81948,83250,84559,85874,87257,88624,89997,91467,92952,94407,95988,97560,99151,100752,102419,104026,105780,107516,109308,111139,113033,114976,116908,118855,120896,122849,124790,126856,128889,131057,133235,135472,137637,139815,142068,144390,146793,149187,151594,154166,156717,159347,161948,164690,167408,170125,173011,175871,178783,181816,184927,188031,191132,194367,197545,200858,204237,207602,210944,214307,217695,221061,224574,228234,231886,235427,239062,242790,246618,250497,254294,258231,262266,266322,270418,274616,278733,283144,287441,291798,296382,301133,305756,310357,315106,319859,324733,329696,334641,339622,344625,349657,354686,360100,365481,370992,376666,382308,388094,393854,399622,405598,411560,417656,423807,430052,436269,442652,449126,455859,462580,469274,476159,483152,490143,497174,504447,511929,519623,527171,535000,542809,550924,558926,567344,575644,584260,593017,601927,610936,620017,629591,639078,648580,658288,668274,678088,688109,698354,708514,718905,729669,740545,751539,762654,773951,785490,797218,809025,821159,833495
1,1,1,4,4,5,6,6,9,11,13,13,14,15,16,19,21,23,27,30,33,39,44,52,54,58,62,65,71,73,78,81,85,88,95,100,105,111,114,117,126,131,136,138,144,150,153,159,162,172,178,186,187,192,197,198,202,204,209,211,216,220,226,232,234,242,249,253,259,264,270,283,295,302,314,326,334,344,349,359,366,376,392,401,414,424,436,445,462,482,497,516,533,555,568,588,608,630,643,671,688,714,742,767,795,824,847,877,910,944,979,1014,1054,1084,1116,1160,1187,1215,1249,1269,1309,1342,1393,1448,1482,1503,1539,1573,1614,1645,1685,1720,1763,1800,1843,1877,1914,1949,1980,2025,2069,2111,2156,2198,2252,2303,2352,2401,2453,2496,2548,2607,2668,2720,2776,2829,2897,2964,3024,3087,3146,3211,3280,3338,3396,3439,3515,3575,3650,3730,3812,3878,3944,4011,4080,4153,4228,4305,4390,4469,4541,4618,4703,4791,4869,4945,5046,5139,5232,5334,5453,5559,5672,5784,5904,6034,6159,6299,6414,6511,6657,6783,6913,7044,7198,7330,7455,7620,7759,7942,8108,8274,8439,8616,8786,8975,9182,9389,9574,9807,10030,10227,10447,10699,10967,11241,11578,11882,12230,12542,12893,13256,13588,13960,14338,14709,15057,15411,15777,16104,16447,16805,17149,17498,17903,18286,18707,19088,19525,19956,20444,20983,21483,21987,22482,23031,23590,24091,24591,25112,25623,26188,26742,27258,27794,28335,28881,29437,29995,30550,31094,31615,32123,32695,33217,33756,34324,34871,35397,35972,36512,37051,37649,38198,38834,39430,40018,40583,41206,41827,42446,43114,43753,44376,45069,45743,46410,47101,47871,48628,49392,50135,50910,51719,52509,53309,54145,54976,55838,56756,57698,58653,59609,60645,61649,62681,63685,64790,65912,66969,68053,69190,70325,71512,72672,73926,75154,76405,77686,78986,80229,81492,82811,84209,85627,87062,88539,90087,91628,93194,94893,96545,98243,100027,101830,103624,105456,107343,109274,111202,113230,115301,117464,119461,121570,123721,125953,128258,130603,132954,135420,137998,140543,143175,145853,148610,151392,154266,157055,160030,163135,166322,169591,173004,176454,180177,183843,187676,191449,195314,199248,203246,207237,211339,215428,219703,223902,228214,232582,237051,241617,246266,250841,255558,260313,265093,269966,274795,279822,284835,289807,294948,300244,305567,311044,316525,322105,327793,333572,339543,345598,351716,358001,364243,370745,377251,383842,390579,397368,404360,411229,418291,425432,432662,440110,447628,455201,462909,470868,478929,487082,495221,503657,512111,520605,529433,538313,547215,556204,565451,574653,584196,593593,603118,612878,622806,632629,642677,652889,662924,673095,683562,693967,704644,715506,726406,737313,748560,760034,771508,783254,794748,806637,818676,830762,843166,855568,868182,880482,893308,906106,919066,932317,945705,959151,972675,986749,1000511,1014514,1028812,1043054,1057597,1072167,1087022,1101937,1117125,1132436,1147882,1163550,1179234,1195182,1211316,1227497,1243663,1260204,1277117,1294207
1,1,1,1,1,1,3,4,7,7,11,15,17,19,22,25,27,28,29,31,34,35,41,46,49,58,61,66,67,72,73,76,78,83,83,88,92,95,99,102,106,108,110,113,117,118,124,131,138,140,140,143,146,149,152,155,157,158,160,163,164,166,168,172,176,179,180,181,184,185,186,189,190,190,191,191,193,195,196,197,198,200,200,200,202,203,203,204,204,206,207,209,212,213,214,215,220,220,220,223,224,225,228,229,236,241,247,253,256,261,264,265,273,280,287,291,297,302,309,314,321,324,326,331,335,338,342,348,354,361,368,372,379,384,388,392,396,399,406,414,419,423,427,437,442,446,454,456,463,472,476,480,489,497,508,514,525,533,542,549,560,569,587,601,614,618,637,658,674,685,699,720,741,766,795,828,866,897,947,989,1051,1098,1149,1213,1278,1335,1401,1467,1531,1588,1648,1705,1776,1841,1886,1947,2005,2072,2126,2181,2247,2309,2373,2451,2520,2592,2665,2754,2841,2951,3052,3150,3248,3363,3462,3569,3693,3833,3958,4094,4202,4326,4464,4602,4715,4852,4965,5099,5224,5336,5476,5614,5715,5847,5980,6111,6242,6375,6524,6680,6815,6968,7148,7322,7495,7655,7822,7989,8157,8315,8485,8647,8806,8969,9148,9348,9529,9737,9922,10112,10284,10494,10677,10874,11064,11258,11442,11641,11858,12043,12263,12478,12700,12916,13125,13326,13559,13796,14034,14277,14507,14768,15044,15302,15579,15855,16118,16413,16721,17024,17324,17664,18004,18337,18658,18939,19293,19656,20020,20357,20722,21071,21445,21792,22134,22502,22878,23235,23563,23912,24268,24637,25009,25375,25754,26096,26527,26965,27352,27725,28129,28547,28970,29404,29883,30307,30757,31194,31623,32117,32598,33090,33569,34071,34581,35108,35619,36162,36734,37289,37918,38495,39090,39737,40384,41039,41749,42483,43228,43979,44702,45472,46305,47126,47994,48783,49585,50404,51257,52145,53082,54042,54930,55896,56906,57845,58868,59846,60830,61877,62953,63982,65039,66215,67373,68542,69814,71028,72285,73607,75006,76327,77697,79070,80524,82024,83503,85000,86555,88053,89550,91103,92661,94246,95851,97554,99243,100939,102730,104635,106565,108499,110533,112607,114660,116840,119130,121323,123551,125760,127970,130204,132501,134921,137316,139806,142226,144711,147204,149798,152449,155019,157603,160326,162909,165616,168360,171180,173948,176763,179733,182595,185620,188772,191919,195245,198544,201923,205321,208711,212281,215836,219487,223185,226913,230687,234574,238461,242508,246556,250630,254836,258933,263342,267744,272346,277020,281616,286316,291213,296179,301134,306187,311341,316578,322109,327691,333373,339183,345009,350955,356923,363041,369417,375784,382097,388492,395005,401361,407896,414573,421281,428163,434953,441846,448888,456108,463328,470572,477994,485511,493087,500867,508755,516804,525121,533281
1,1,1,1,2,3,3,4,5,5,6,9,11,17,18,21,24,27,33,37,40,42,53,61,66,72,82,90,96,105,115,125,130,139,151,163,176,193,202,212,224,236,253,268,282,292,303,313,321,333,341,355,365,373,378,389,396,412,422,437,447,467,481,499,513,527,541,554,564,571,581,591,597,604,618,629,642,647,653,660,667,673,684,697,702,708,717,726,730,738,749,756,769,779,789,794,801,814,821,832,843,850,869,882,893,906,919,931,949,960,973,981,988,996,1009,1023,1032,1038,1047,1061,1070,1084,1093,1102,1118,1124,1136,1141,1151,1157,1166,1177,1190,1204,1213,1222,1232,1252,1274,1295,1321,1345,1381,1413,1443,1477,1504,1537,1574,1612,1651,1698,1740,1785,1836,1880,1908,1964,2020,2060,2105,2146,2203,2262,2318,2386,2449,2498,2551,2622,2685,2737,2795,2859,2921,2985,3073,3149,3211,3272,3345,3413,3485,3558,3649,3715,3800,3886,3959,4049,4135,4208,4282,4361,4440,4524,4610,4688,4764,4856,4937,5029,5106,5209,5282,5372,5508,5625,5732,5856,6000,6135,6271,6413,6549,6690,6810,6935,7045,7175,7304,7406,7530,7646,7781,7908,8058,8194,8347,8486,8626,8778,8914,9067,9198,9359,9496,9660,9842,10027,10224,10427,10612,10801,11012,11193,11371,11557,11750,11935,12118,12292,12495,12685,12879,13050,13250,13457,13670,13896,14149,14389,14639,14871,15202,15489,15769,16032,16286,16564,16861,17126,17409,17681,17934,18195,18484,18783,19079,19394,19673,19977,20272,20622,20976,21382,21780,22175,22599,23102,23562,24007,24504,24984,25494,26042,26534,27071,27606,28195,28736,29341,29948,30545,31136,31753,32405,32992,33648,34330,34966,35639,36314,37010,37727,38436,39175,39915,40611,41361,42123,42830,43621,44422,45180,46015,46822,47649,48505,49318,50188,51077,51919,52797,53737,54676,55595,56580,57568,58594,59559,60518,61503,62469,63497,64556,65637,66798,67963,69150,70359,71516,72720,73922,75222,76501,77799,79103,80449,81732,83093,84459,85846,87252,88736,90210,91665,93166,94725,96256,97916,99564,101272,102865,104616,106370,108163,110010,111817,113683,115694,117618,119547,121587,123640,125634,127762,129886,131995,134075,136241,138513,140751,143048,145442,147747,150197,152684,155147,157685,160207,162853,165609,168307,171176,173947,176835,179904,182951,186016,189245,192443,195853,199176,202640,206049,209484,212960,216602,220303,224050,227881,231873,235938,240089,244272,248459,252780,257147,261746,266422,271171,276059,281100,286147,291267,296532,301813,307163,312672,318209,323752,329439,334995,340663,346438,352280,358298,364374,370641,376938,383322,389741,396449,403160,409994,416911,424071,431226,438386,445722,452988,460292,467448,474809,482272,489996,497800,505629,513698,521763,530105,538432,546750,555273,564057,572874,581990,590903,599895,609307,618751,628293,637853,647650,657431,667356,677624,687881,698219,708772,719372,730155,740979,751914,763123,774591
1,1,1,1,3,3,3,5,5,8,8,13,14,17,18,21,25,28,30,32,35,37,40,41,43,44,46,50,54,59,62,65,77,81,86,88,89,99,103,108,110,113,118,123,127,130,138,142,149,156,165,169,182,190,196,199,206,214,220,227,238,244,253,262,270,280,288,300,313,322,337,352,364,390,398,410,427,442,456,468,484,498,516,529,553,569,596,619,645,661,676,692,712,722,736,755,774,787,808,831,853,874,893,905,925,943,962,981,999,1023,1046,1068,1089,1112,1139,1163,1192,1216,1242,1267,1294,1316,1342,1369,1401,1430,1466,1491,1521,1547,1586,1609,1655,1695,1738,1762,1789,1813,1853,1874,1895,1922,1961,1995,2027,2056,2091,2131,2167,2207,2233,2257,2283,2310,2342,2367,2397,2419,2446,2479,2510,2536,2556,2591,2613,2650,2685,2725,2748,2784,2806,2837,2858,2889,2921,2944,2968,2983,3000,3029,3059,3088,3105,3136,3155,3176,3196,3216,3243,3273,3306,3338,3367,3395,3418,3438,3462,3486,3506,3531,3558,3582,3602,3615,3649,3668,3691,3723,3754,3786,3809,3847,3884,3913,3934,3969,4002,4033,4065,4099,4142,4184,4225,4271,4312,4355,4406,4462,4507,4550,4594,4635,4700,4756,4815,4871,4919,4981,5034,5095,5160,5221,5295,5364,5430,5501,5587,5660,5739,5821,5909,6010,6106,6215,6314,6424,6549,6674,6797,6919,7050,7145,7261,7371,7496,7606,7694,7808,7929,8040,8136,8248,8346,8419,8525,8634,8730,8839,8938,9041,9140,9249,9373,9500,9629,9751,9898,10024,10167,10316,10459,10624,10777,10920,11079,11235,11374,11525,11673,11818,11970,12119,12261,12401,12560,12698,12855,13034,13193,13368,13520,13676,13854,14042,14237,14438,14650,14833,15048,15219,15425,15619,15827,16036,16284,16501,16680,16873,17112,17349,17571,17848,18083,18344,18601,18872,19156,19468,19798,20089,20405,20711,21016,21344,21699,21996,22319,22658,22996,23353,23695,24035,24395,24745,25106,25472,25835,26214,26626,27016,27425,27826,28206,28628,29062,29496,29917,30356,30827,31318,31854,32388,32885,33415,33924,34457,35032,35576,36162,36805,37431,38076,38732,39429,40121,40828,41516,42241,42933,43679,44437,45123,45872,46590,47329,48130,48937,49706,50531,51345,52208,53041,53886,54746,55654,56551,57455,58390,59349,60225,61198,62177,63221,64222,65328,66398,67400,68499,69646,70833,72044,73278,74491,75675,76969,78346,79731,81149,82565,84022,85476,86910,88373,89999,91605,93172,94769,96421,98053,99744,101460,103354,105185,106997,108791,110724,112650,114622,116624,118617,120802,122963,125217,127509,129804,132218,134749,137320,139992,142561,145327,148190,151032,153907,156833,159880,163018,166063,169309,172638,176034,179599,183147,186725,190411,194191,198118,201997,206080,210229,214467,218843,223201,227669,232422,237180,241998,246891,251744,256929,262158,267448,272860,278342,283957,289783,295622
1,1,1,1,1,2,4,4,5,6,7,9,10,13,15,16,17,19,21,26,28,32,33,36,40,44,47,49,54,56,64,71,77,83,91,99,105,107,118,127,132,144,155,166,173,181,200,206,209,218,222,231,240,247,257,272,276,281,297,303,317,323,332,338,352,359,366,379,393,396,400,409,419,428,444,460,470,475,486,495,508,517,532,537,548,569,581,599,605,611,622,634,645,663,677,687,700,709,721,733,745,755,761,771,780,796,819,838,849,873,891,902,910,924,953,975,997,1024,1052,1078,1105,1135,1154,1185,1215,1246,1280,1316,1357,1391,1447,1498,1542,1590,1632,1684,1737,1791,1856,1903,1961,2011,2054,2120,2191,2270,2325,2403,2472,2547,2609,2667,2736,2810,2883,2953,3010,3087,3172,3249,3316,3411,3500,3595,3686,3797,3916,4031,4127,4226,4341,4471,4592,4722,4875,5028,5173,5328,5477,5632,5798,5996,6204,6429,6625,6813,7010,7233,7457,7725,7999,8277,8538,8840,9144,9434,9743,10083,10410,10755,11121,11489,11864,12270,12649,13061,13438,13842,14254,14679,15107,15558,16026,16487,16972,17445,17955,18461,18999,19526,20057,20586,21121,21691,22264,22847,23377,23992,24556,25142,25741,26335,26939,27605,28268,28924,29576,30226,30861,31500,32194,32888,33633,34340,35068,35841,36667,37469,38260,39089,39874,40676,41537,42379,43243,43999,44848,45762,46680,47552,48466,49419,50361,51287,52257,53248,54263,55311,56368,57445,58657,59886,61078,62224,63456,64769,66134,67518,68937,70413,71846,73336,74853,76402,77862,79437,81069,82656,84289,85964,87623,89346,91110,92915,94725,96652,98538,100465,102397,104399,106446,108495,110589,112626,114809,116956,119180,121442,123789,126132,128530,130904,133422,135911,138418,140869,143369,145928,148507,151086,153841,156560,159331,162276,165243,168268,171387,174621,177826,181206,184654,188246,191815,195546,199465,203293,207243,211211,215303,219541,223717,227894,232203,236638,241162,245601,250111,254702,259375,264071,268827,273671,278567,283541,288595,293717,298801,303939,309265,314627,320145,325701,331406,337140,342928,348825,354659,360463,366253,372231,378173,384242,390419,396639,403014,409457,415810,422367,429031,435757,442354,449244,456254,463355,470740,478047,485705,493366,501131,509224,517382,525472,533686,541944,550541,559154,568187,577145,586307,595504,604742,614168,623806,633590,643548,653823,664210,674549,684968,695557,706419,717239,728357,739516,750828,762458,773968,785610,797391,809522,821566,833913,846438,859270,871954,884788,897619,910710,923856,937465,950852,964612,978495,992351,1006410,1020449,1034758,1049033,1063644,1078250,1092995,1107718,1122719,1137979,1153333,1168571,1183796,1199282,1214931,1230879,1246611,1262573,1278481,1294483,1310579,1327069,1343401,1359834,1376418,1393197,1410089,1427168,1444187,1461593,1478795,1496382,1514158,1532273,1550423,1568500,1586663,1605018,1623459,1642262,1660947,1679555,1698498,1717374,1736511,1755627,1775057,1794419,1814007,1833845,1853834,1873847,1894397,1914898,1935502,1956110,1976912,1998030,2019435,2041330,2062958,2084680,2106820
1,1,1,1,2,7,8,10,13,15,18,24,31,38,40,45,50,57,59,65,68,69,74,78,82,87,94,102,106,110,118,124,129,135,145,160,169,175,184,198,211,220,234,250,271,285,307,333,360,389,407,450,483,511,551,588,623,649,689,732,763,791,823,855,884,918,950,980,1014,1042,1085,1121,1181,1213,1250,1287,1319,1368,1408,1452,1501,1548,1600,1642,1688,1739,1792,1841,1902,1956,2016,2059,2126,2182,2252,2312,2398,2460,2529,2621,2685,2763,2840,2898,2965,3040,3118,3195,3279,3364,3439,3524,3600,3677,3770,3842,3908,3982,4052,4123,4190,4257,4327,4405,4473,4544,4612,4690,4757,4822,4889,4947,5016,5090,5158,5224,5299,5359,5417,5492,5575,5646,5720,5810,5885,5949,6031,6112,6197,6286,6370,6457,6546,6634,6725,6820,6894,6995,7100,7191,7288,7380,7472,7549,7656,7755,7859,7972,8069,8181,8297,8412,8522,8606,8720,8839,8957,9063,9185,9322,9446,9564,9676,9801,9943,10059,10193,10321,10457,10580,10683,10806,10950,11090,11202,11332,11446,11568,11704,11839,11936,12068,12185,12307,12441,12560,12690,12832,12974,13100,13244,13394,13549,13687,13814,13971,14152,14325,14497,14659,14839,14994,15191,15346,15526,15723,15871,16064,16223,16411,16579,16773,16949,17113,17304,17496,17692,17891,18094,18321,18531,18736,18947,19162,19372,19597,19810,20031,20260,20496,20773,21024,21289,21551,21819,22115,22419,22714,23008,23294,23617,23970,24296,24625,24958,25296,25666,26039,26408,26789,27202,27595,28010,28433,28810,29248,29676,30149,30567,31002,31460,31941,32356,32812,33275,33762,34313,34784,35285,35820,36366,36894,37474,37995,38544,39122,39718,40300,40923,41493,42061,42727,43372,44026,44676,45345,45992,46678,47356,48014,48747,49448,50148,50838,51578,52342,53149,53898,54689,55575,56385,57306,58167,59019,59920,60868,61848,62843,63887,64852,65900,66967,68104,69263,70433,71576,72798,74072,75307,76587,77891,79178,80608,82022,83439,84938,86451,87929,89436,90872,92397,94055,95702,97281,98907,100554,102337,104024,105781,107520,109257,111024,112900,114755,116581,118482,120358,122352,124333,126300,128281,130228,132324,134420,136430,138539,140612,142748,144993,147199,149533,151807,154183,156623,159135,161684,164265,166947,169639,172343,175085,177887,180782,183668,186518,189437,192465,195517,198625,201853,205081,208286,211692,215130,218598,222167,225729,229407,233078,236880,240749,244589,248488,252515,256642,260700,264716,268920,273228,277479,281873,286391,290941,295650,300360,305105,310092,315040,320162,325440,330867,336132,341539,347045,352649,358368,364304,370156,376331,382441,388662,395024,401492,408217,414958,421873,428767,435910,443200,450677,458103,465869,473416,481156,489033,497079,505579,514121,522578,531215,540023,548919,557814,566862,576343,585591,594862,604470,614096,624113,634056,644231,654484,664773,675388,685940,696748,707640,718703,729986,741307,752839,764568,776389,788440,800543,812799,825231,837882,850562,863462,876298,889379,902709,916095,929513,943158
1,1,1,1,1,1,2,2,2,2,2,2,7,10,10,10,12,12,14,14,14,14,14,14,14,14,17,19,20,21,24,24,25,26,28,29,30,31,32,33,34,37,38,39,43,44,46,47,48,49,49,49,53,53,55,58,59,61,63,64,67,69,69,70,70,70,71,72,73,75,77,80,80,81,83,83,84,85,88,90,90,90,90,90,90,91,92,92,94,94,96,96,96,97,97,97,97,97,98,98,98,100,100,100,101,101,101,103,103,104,104,105,105,105,106,107,107,107,107,107,107,107,109,109,111,111,111,112,113,113,116,117,119,119,119,120,122,125,125,126,126,129,135,137,138,138,139,140,140,141,142,142,144,145,146,147,149,152,156,160,160,162,162,163,167,171,174,178,181,184,187,190,193,197,205,207,210,212,215,217,221,222,224,231,233,237,241,244,246,248,249,252,255,256,261,271,271,278,281,287,291,299,302,318,325,340,352,360,368,375,388,403,417,431,447,468,485,498,521,548,564,582,598,624,640,665,688,707,728,747,771,798,827,851,880,902,937,966,992,1033,1060,1080,1110,1144,1188,1220,1263,1293,1342,1389,1433,1476,1529,1581,1627,1672,1706,1739,1787,1826,1868,1919,1957,1999,2037,2077,2116,2165,2209,2262,2310,2350,2403,2455,2497,2554,2594,2639,2692,2737,2777,2822,2872,2919,2969,3004,3043,3083,3112,3153,3192,3230,3267,3307,3340,3394,3447,3487,3527,3562,3600,3639,3680,3731,3779,3823,3859,3903,3949,3994,4047,4084,4135,4176,4216,4259,4300,4349,4390,4428,4468,4508,4550,4586,4618,4653,4692,4730,4773,4813,4862,4900,4939,4994,5025,5076,5124,5166,5210,5263,5326,5385,5438,5485,5546,5616,5685,5749,5836,5913,5990,6086,6189,6292,6386,6507,6612,6715,6821,6941,7041,7151,7252,7383,7524,7651,7781,7936,8092,8260,8413,8596,8781,8970,9168,9409,9629,9830,10033,10243,10474,10719,10942,11176,11429,11669,11889,12109,12333,12567,12803,13015,13253,13462,13686,13927,14144,14396,14629,14849,15069,15291,15526,15735,15986,16263,16497,16728,16963,17194,17452,17695,17939,18175,18445,18722,19014,19321,19596,19887,20197,20498,20810,21111,21424,21750,22067,22363,22696,23074,23388,23705,24084,24460,24797,25150,25494,25884,26246,26639,27000,27399,27789,28206,28638,29066,29483,29908,30354,30788,31188,31611,32092,32523,32992,33453,33938,34439,34958,35484,36039,36591,37130,37669,38268,38849,39473,40148,40801,41446,42154,42855,43552,44368,45185,46012,46849,47722,48630,49534,50527,51482,52488,53472,54507,55572,56719,57866,59041,60239,61402,62582,63848,65184,66555,67913,69303
1,1,1,1,1,1,2,4,5,6,6,7,8,8,8,9,9,9,10,10,10,11,11,12,12,17,17,18,19,21,22,23,24,26,27,28,28,30,32,32,34,36,37,37,39,39,41,41,41,42,43,44,44,45,48,49,51,51,51,51,53,53,54,55,59,64,66,67,67,68,71,71,71,73,75,78,83,85,91,93,98,101,108,117,122,128,132,135,139,151,158,159,166,173,177,183,188,192,199,204,216,223,228,233,238,248,254,264,272,280,285,293,299,304,309,317,324,334,346,354,361,380,389,400,415,425,441,458,465,484,501,519,539,562,599,635,655,690,723,752,794,829,875,917,960,992,1038,1076,1118,1155,1190,1225,1263,1280,1298,1322,1356,1378,1408,1441,1483,1510,1547,1576,1615,1652,1694,1730,1776,1824,1884,1947,2007,2068,2138,2204,2273,2340,2401,2467,2546,2618,2683,2752,2840,2919,3007,3114,3242,3355,3454,3576,3740,3903,4057,4237,4412,4598,4759,4971,5184,5401,5607,5808,6013,6215,6409,6593,6770,6960,7162,7344,7531,7710,7896,8073,8288,8498,8682,8922,9164,9431,9659,9881,10109,10343,10575,10805,11025,11253,11457,11694,11901,12104,12311,12488,12698,12920,13119,13340,13606,13871,14167,14452,14730,15032,15334,15625,15909,16230,16547,16810,17087,17365,17642,17957,18263,18549,18852,19183,19480,19766,20056,20350,20620,20878,21170,21442,21728,22050,22360,22681,22987,23343,23724,24084,24454,24858,25241,25636,26051,26518,26997,27413,27888,28350,28866,29367,29881,30387,30929,31510,32038,32591,33163,33758,34351,34937,35578,36205,36892,37571,38269,39002,39719,40423,41061,41843,42662,43448,44213,45049,45874,46658,47553,48431,49327,50296,51266,52246,53292,54293,55301,56360,57450,58486,59622,60824,61944,63147,64354,65567,66847,68132,69481,70788,72196,73607,74988,76397,77836,79213,80652,82093,83571,85144,86777,88334,89989,91710,93474,95290,97119,98864,100855,102786,104671,106612,108609,110645,112654,114688,116699,118883,120951,123160,125344,127523,129566,131805,133996,136224,138461,140703,143061,145441,147797,150225,152679,155218,157733,160241,162796,165347,168019,170617,173281,175899,178689,181476,184234,187023,189887,192812,195754,198703,201749,204814,207856,210926,214059,217206,220363,223551,226818,230181,233468,236846,240213,243545,247051,250774,254407,258041,261884,265816,269617,273494,277385,281385,285475,289558,293776,298211,302658,307092,311589,316270,320922,325641,330445,335232,340078,345228,350417,355508,360700,366044,371432,376914,382548,388184,394147,399939,405827,411762,417971,424404,430835,437248,443664,450233,456887,463602,470474,477203,484145,491353,498276,505546,512831,520125,527693,535323,543095,550811,558601,566550,574757,582991,591309,599968,608593,617325,626261,635155,644191,653418,662658,672222,681813,691584,701512,711648,721943,732200,742495,753123,763719,774442,785319,796446,807728,819112,830678,842489,854610
1,1,1,1,1,1,2,3,5,6,6,6,10,12,12,12,13,15,16,18,18,18,20,21,24,27,33,37,39,43,45,50,52,60,67,76,80,83,87,90,94,99,105,112,117,123,127,141,154,160,165,178,189,198,206,218,226,241,255,266,277,285,295,303,312,320,335,360,370,386,403,414,427,438,453,469,484,500,520,537,550,560,575,586,602,614,630,647,664,677,692,719,736,758,779,804,823,845,857,870,884,912,937,966,995,1025,1047,1067,1092,1114,1130,1145,1158,1182,1204,1217,1238,1258,1278,1300,1321,1337,1364,1385,1409,1428,1450,1467,1480,1495,1511,1525,1548,1565,1580,1593,1606,1622,1638,1653,1670,1680,1702,1710,1720,1728,1738,1752,1758,1771,1779,1789,1800,1809,1822,1832,1840,1848,1856,1868,1876,1884,1885,1888,1895,1908,1917,1925,1931,1944,1953,1967,1975,1984,1994,2010,2025,2036,2048,2054,2066,2076,2090,2104,2120,2134,2143,2160,2172,2186,2203,2215,2226,2239,2250,2267,2279,2293,2307,2323,2343,2356,2371,2381,2396,2411,2429,2450,2468,2484,2496,2510,2526,2545,2563,2571,2590,2598,2607,2626,2640,2649,2664,2683,2704,2725,2739,2753,2766,2784,2803,2827,2852,2873,2897,2928,2955,2988,3015,3040,3076,3125,3154,3195,3235,3273,3302,3342,3378,3413,3450,3496,3525,3576,3623,3676,3725,3763,3803,3865,3932,3981,4031,4081,4137,4187,4245,4308,4392,4462,4543,4598,4680,4753,4821,4909,5005,5089,5169,5243,5320,5406,5486,5591,5688,5803,5912,6033,6161,6284,6411,6562,6711,6893,7054,7269,7477,7726,7962,8195,8444,8704,8997,9276,9557,9846,10155,10444,10754,11087,11417,11712,12066,12385,12701,13035,13364,13675,13946,14264,14607,14924,15244,15544,15867,16155,16465,16791,17129,17447,17793,18140,18481,18829,19216,19619,20063,20554,21069,21550,22053,22578,23129,23695,24319,24973,25591,26259,26916,27647,28341,29107,29880,30655,31477,32343,33163,34006,34862,35774,36698,37620,38560,39544,40524,41544,42518,43529,44577,45675,46742,47756,48818,49928,51121,52248,53409,54588,55815,57079,58358,59669,60908,62185,63464,64780,66076,67498,68874,70253,71655,73085,74598,76172,77728,79393,80965,82630,84369,86164,87906,89703,91579,93500,95359,97277,99203,101212,103282,105340,107405,109601,111866,114049,116433,118789,121209,123713,126192,128767,131370,134021,136515,139295,142147,145045,147972,151003,154145,157369,160557,163823,167085,170384,173726,177151,180522,184099,187673,191218,194891,198543,202210,205959,209701,213746,217701,221876,226009,230270,234518,238925,243514,248158,252950,257677,262579,267619,272810,277982,283277,288564,294124,299643,305220,310939,316696,322496,328488,334513,340662,346788,353036,359367,365843,372474,379245,386071,392969,400043,407155,414344,421582,428862,436214,443891,451553,459219,467011,475116,483132,491267,499687,508093,516580,525232,533797
1,1,2,2,4,7,7,8,9,11,12,13,15,19,20,26,28,32,34,34,38,46,50,56,60,65,68,71,74,79,83,87,93,99,100,105,108,116,120,126,130,132,136,142,143,146,151,154,160,162,164,167,170,173,177,186,191,194,200,205,207,215,221,223,232,244,252,262,269,278,287,295,300,309,319,331,346,361,378,395,407,427,437,447,460,475,493,510,532,550,567,582,604,623,638,652,670,691,715,733,754,773,794,810,824,846,862,882,904,920,937,964,987,1006,1024,1036,1056,1071,1080,1093,1111,1127,1144,1162,1183,1204,1221,1245,1273,1292,1316,1329,1350,1380,1401,1430,1450,1468,1492,1523,1552,1584,1624,1662,1689,1716,1752,1787,1827,1869,1907,1948,1981,2022,2058,2090,2133,2174,2228,2263,2290,2325,2371,2419,2457,2503,2543,2582,2612,2652,2687,2718,2754,2789,2826,2861,2903,2933,2977,3007,3038,3062,3097,3125,3159,3186,3205,3224,3248,3281,3303,3323,3348,3373,3390,3416,3454,3482,3509,3527,3556,3584,3599,3629,3650,3677,3701,3730,3764,3793,3825,3854,3879,3916,3942,3972,4001,4027,4057,4085,4123,4151,4189,4218,4246,4274,4296,4336,4372,4412,4451,4477,4527,4557,4587,4617,4656,4685,4726,4760,4805,4831,4865,4895,4931,4970,5006,5039,5073,5121,5162,5206,5250,5280,5319,5357,5385,5423,5467,5516,5557,5594,5627,5657,5713,5756,5803,5838,5886,5938,5981,6028,6080,6122,6182,6241,6297,6350,6421,6491,6552,6606,6664,6734,6820,6908,6990,7073,7169,7270,7359,7493,7649,7815,8008,8196,8387,8594,8794,9021,9241,9454,9689,9908,10134,10375,10635,10912,11175,11487,11776,12127,12473,12847,13241,13627,14007,14429,14851,15318,15740,16139,16562,17007,17460,17945,18425,18855,19279,19724,20211,20675,21119,21591,22033,22461,22916,23337,23828,24289,24776,25278,25750,26277,26802,27308,27846,28377,28865,29426,30011,30626,31276,31987,32714,33433,34176,34909,35696,36564,37375,38265,39165,40134,41052,42017,43017,44034,45029,46052,47157,48248,49335,50462,51560,52665,53819,55054,56304,57523,58788,60075,61333,62666,64054,65513,66914,68404,69935,71502,73037,74603,76244,77877,79549,81214,82921,84616,86384,88178,90020,91903,93847,95784,97684,99569,101562,103624,105721,107804,109935,112123,114337,116633,118827,121111,123392,125789,128241,130645,133167,135705,138113,140624,143244,145825,148439,151117,153848,156774,159726,162640,165577,168590,171667,174875,178055,181235,184342,187663,190991,194381,197765,201322,204836,208481,212149,215801,219573,223407,227241,231181,235202,239304,243404,247641,252052,256446,260933,265342,269884,274601,279449,284368,289294,294336,299371,304429,309797,315294,320946,326605,332359,338114,344276,350373,356607,363012,369611,376250,383132,389914,396887,403918,411034,418551,425898,433333,440942,448828,456717,464713,472790,480872,489029,497613,506326
1,1,3,4,4,4,4,6,6,6,6,6,6,9,11,13,18,19,20,21,23,29,35,37,41,47,50,54,57,59,63,70,80,89,96,100,103,106,111,113,121,123,126,131,133,137,143,146,147,150,161,163,167,169,174,181,191,199,211,218,229,235,246,252,256,264,281,288,293,301,304,313,319,325,332,338,350,357,363,368,374,380,388,395,399,402,406,413,423,435,447,457,461,470,480,489,501,512,527,535,545,559,574,590,603,608,623,637,651,666,678,688,697,711,722,735,742,753,761,771,778,792,807,811,828,843,857,868,876,888,903,914,916,922,931,944,951,961,970,980,985,996,1010,1020,1037,1047,1053,1069,1082,1099,1113,1126,1142,1150,1170,1182,1202,1219,1239,1253,1271,1293,1320,1345,1376,1396,1416,1431,1451,1473,1489,1503,1519,1544,1560,1580,1610,1637,1664,1685,1700,1724,1744,1771,1795,1824,1855,1882,1912,1945,1981,2003,2042,2068,2103,2129,2152,2196,2226,2257,2287,2324,2376,2417,2471,2516,2572,2613,2674,2720,2777,2821,2868,2932,2985,3066,3126,3190,3254,3315,3390,3465,3542,3607,3674,3744,3814,3886,3958,4029,4094,4163,4230,4311,4384,4476,4550,4624,4698,4780,4863,4941,5040,5128,5209,5296,5390,5492,5583,5680,5773,5879,5986,6094,6198,6288,6391,6498,6609,6737,6852,6973,7082,7207,7328,7449,7597,7741,7878,8025,8183,8323,8474,8627,8805,8969,9118,9298,9469,9656,9819,10014,10214,10427,10610,10803,10981,11176,11397,11612,11853,12077,12334,12558,12783,13006,13257,13500,13737,13996,14253,14522,14829,15078,15359,15629,15941,16246,16565,16923,17240,17622,17970,18341,18716,19089,19461,19864,20255,20670,21056,21470,21908,22340,22815,23283,23737,24196,24653,25148,25616,26145,26640,27171,27720,28269,28875,29469,30092,30748,31379,32005,32699,33436,34190,34923,35719,36502,37328,38101,38920,39766,40708,41610,42521,43467,44395,45356,46308,47299,48305,49378,50414,51454,52599,53757,54868,56067,57216,58370,59610,60858,62115,63400,64630,65964,67332,68651,70085,71506,72900,74393,75891,77381,78902,80436,81972,83633,85345,87097,88914,90762,92577,94408,96381,98436,100449,102461,104559,106642,108798,110907,113165,115366,117656,119973,122306,124706,127160,129637,132074,134672,137322,139953,142535,145285,147901,150676,153476,156379,159181,162045,164977,167990,170949,173998,177110,180265,183432,186752,189978,193356,196662,200042,203436,206930,210657,214359,218047,221778,225541,229353,233293,237316,241362,245448,249616,253875,258156,262489,266955,271472,276057,280540,285241,290089,294803,299573,304425,309371,314331,319346,324473,329535,334712,340141,345473,350916,356485,362175,367884,373569,379264,385113,391187,397280,403468,409738,416065,422502,429034,435680,442564,449487,456658,464022,471281,478591,485890,493412,500885,508404,516130,524070,532221,540346,548572
1,1,1,2,2,3,3,3,4,5,5,6,8,8,8,8,8,9,12,12,13,14,16,17,17,23,25,28,32,35,43,45,48,51,55,58,67,71,74,80,83,86,91,97,104,110,115,120,128,135,142,149,157,161,169,174,177,183,190,192,200,206,212,221,228,241,252,257,269,278,285,293,301,312,323,333,346,361,368,384,395,411,433,457,475,489,506,515,533,552,569,588,610,622,643,655,672,699,720,741,757,786,806,824,852,880,909,924,952,973,989,1004,1029,1045,1066,1088,1107,1124,1142,1162,1176,1190,1212,1230,1247,1264,1278,1290,1305,1319,1340,1358,1371,1387,1409,1427,1442,1460,1472,1481,1499,1518,1532,1550,1572,1593,1607,1628,1648,1665,1688,1702,1721,1738,1755,1779,1812,1836,1872,1898,1927,1954,1982,2023,2048,2076,2113,2150,2189,2238,2285,2322,2368,2415,2459,2506,2555,2611,2662,2719,2764,2811,2873,2921,2981,3041,3102,3161,3219,3289,3350,3413,3483,3546,3610,3707,3798,3875,3955,4041,4125,4199,4274,4342,4434,4518,4609,4706,4801,4888,4978,5075,5185,5279,5393,5491,5581,5670,5763,5872,5975,6083,6179,6280,6389,6522,6664,6776,6892,7028,7169,7288,7453,7599,7731,7891,8074,8218,8393,8553,8716,8933,9118,9318,9507,9706,9913,10134,10385,10595,10826,11118,11381,11673,11919,12195,12492,12804,13084,13415,13711,14013,14399,14749,15085,15455,15821,16229,16608,16984,17370,17789,18233,18717,19231,19759,20280,20822,21380,22000,22604,23254,23978,24646,25355,26005,26693,27438,28178,28905,29676,30532,31320,32143,32970,33834,34761,35701,36618,37549,38523,39522,40531,41543,42501,43505,44573,45682,46792,47911,49033,50148,51274,52423,53683,54913,56192,57454,58761,60120,61460,62836,64166,65549,67039,68536,70051,71625,73273,74898,76652,78351,80130,81913,83820,85717,87612,89543,91461,93367,95356,97330,99393,101413,103574,105693,107930,110100,112293,114615,116847,119147,121397,123784,126204,128799,131331,134010,136752,139452,142262,145080,147968,150876,153885,156832,159791,162899,165998,169156,172312,175608,178916,182253,185543,189014,192409,195916,199608,203193,207132,210970,214924,218979,223220,227503,231817,236089,240659,245153,249830,254614,259543,264454,269382,274331,279483,284642,289953,295248,300650,305917,311586,317221,323063,328917,334946,340963,347125,353284,359552,365992,372552,379228,385848,392753,399572,406424,413688,420919,428206,435681,443141,450568,458085,465823,473783,481858,489977,498246,506606,515079,523765,532335,541272,550264,559536,568868,578186,587575,597149,606710,616167,626004,635908,646166,656482,666951,677615,688508,699573,710918,722518,734170,745807,757730,769764,782084,794413,807065,820066,833280,846584,859946,873542,887148,900988,915217,929686,943955,958510,973460,988481,1003399,1018588,1033949,1049463,1064950,1080729,1096555,1112355,1128538,1144936,1161421,1177815,1194834,1211724,1228740,1245572,1262714,1280008,1297533,1315070,1332577,1350327,1368448,1386608
1,1,1,1,1,1,3,4,5,8,9,10,10,10,13,19,21,25,28,35,40,45,47,52,57,64,66,70,76,82,92,99,110,116,130,135,142,159,171,182,192,206,217,228,238,249,259,269,279,290,297,307,314,332,347,362,373,386,395,407,420,425,438,454,466,476,486,500,525,541,557,569,584,590,605,609,628,639,659,674,697,712,723,748,768,781,801,815,837,858,885,902,920,934,953,978,1001,1033,1072,1101,1130,1163,1191,1221,1250,1277,1302,1333,1368,1403,1430,1461,1489,1512,1534,1564,1600,1643,1673,1705,1730,1764,1796,1827,1869,1903,1944,1986,2027,2066,2096,2126,2172,2201,2243,2277,2317,2356,2394,2435,2466,2514,2562,2604,2647,2679,2722,2758,2794,2835,2869,2910,2961,3013,3071,3124,3167,3207,3252,3312,3358,3405,3455,3498,3547,3584,3646,3690,3742,3794,3851,3911,3975,4038,4095,4142,4188,4249,4309,4369,4430,4496,4583,4653,4721,4784,4842,4898,4959,5021,5085,5162,5237,5315,5385,5463,5548,5617,5697,5779,5866,5958,6056,6149,6250,6352,6442,6546,6639,6760,6852,6953,7061,7150,7277,7382,7490,7588,7723,7854,7982,8137,8272,8416,8562,8706,8844,9005,9159,9335,9510,9697,9889,10076,10244,10451,10671,10866,11108,11330,11534,11738,11944,12159,12409,12682,12955,13256,13531,13844,14127,14436,14759,15032,15356,15697,16041,16420,16830,17243,17647,18091,18534,18963,19410,19873,20344,20810,21241,21700,22174,22684,23159,23648,24177,24698,25257,25792,26365,26957,27496,28083,28692,29333,29989,30690,31371,32042,32786,33510,34229,34988,35757,36559,37365,38232,39021,39912,40814,41703,42577,43468,44357,45282,46200,47163,48129,49035,49995,51049,51990,53074,54097,55096,56159,57251,58307,59437,60613,61766,62980,64202,65494,66738,67958,69286,70647,72018,73465,74988,76517,77990,79559,81158,82827,84519,86302,88090,89894,91705,93555,95386,97310,99395,101457,103525,105560,107631,109840,112154,114479,116789,119148,121643,124207,126828,129420,132071,134758,137413,140132,142982,145887,148784,151723,154788,157824,160877,164036,167173,170286,173429,176604,179927,183257,186599,190050,193558,197093,200751,204554,208156,212007,215864,219751,223704,227746,231777,235924,240127,244358,248750,253211,257892,262528,267319,272248,277250,282228,287581,292768,298117,303595,309268,314996,320843,326681,332696,338752,344903,351105,357368,363928,370651,377222,383959,390834,397825,404907,412305,419597,427237,434794,442388,450332,458223,466473,474619,482852,491140,499673,508279,516941,525725,534810,543745,552776,562122,571506,580669,590424,600126,609878,619801,629831,640065,650300,660675,671044,681802,692462,703540,714355,725424,736648,747895,759404,771082,782754,794409,806185,818235,830401,842455,854787,866947,879758,892720,905571,918574,931636,944979,958360,972062,985581,999410,1013528,1027739,1042092,1056408,1070925,1085505,1100291,1115375,1130429,1145580,1160920,1176148,1191592,1207079,1222607,1238597,1254617,1270578,1286921,1303478,1320141
1,1,1,1,1,1,1,4,5,7,9,10,11,12,12,12,13,16,19,24,25,28,29,30,32,34,35,35,42,46,50,51,53,55,56,57,60,64,67,74,78,82,86,89,95,101,106,110,116,122,125,128,131,140,140,140,145,145,149,156,166,171,175,177,186,193,197,200,207,213,217,219,221,222,224,226,228,231,233,237,241,243,247,250,252,255,263,265,268,274,276,277,281,285,285,290,293,299,306,309,311,316,323,328,340,350,354,359,364,375,384,390,394,400,408,421,427,434,441,449,463,475,482,489,505,518,532,542,554,570,582,597,611,624,641,653,663,674,690,702,716,730,743,757,763,778,793,801,809,818,829,841,849,855,865,877,886,901,913,922,933,940,945,953,961,969,974,980,986,997,1007,1019,1030,1044,1053,1065,1081,1088,1096,1110,1117,1127,1134,1148,1153,1162,1175,1183,1193,1205,1212,1219,1233,1246,1257,1268,1276,1286,1295,1299,1307,1322,1329,1340,1352,1369,1385,1401,1411,1422,1435,1448,1461,1477,1493,1506,1530,1556,1579,1603,1621,1654,1684,1710,1727,1751,1775,1794,1816,1838,1872,1911,1941,1967,1989,2023,2056,2092,2115,2154,2179,2214,2241,2266,2299,2332,2349,2372,2403,2431,2449,2486,2512,2540,2565,2592,2617,2642,2663,2685,2715,2736,2764,2797,2829,2851,2879,2913,2946,2980,3016,3039,3080,3131,3169,3212,3256,3297,3341,3390,3432,3479,3530,3572,3638,3689,3738,3800,3853,3913,3972,4030,4085,4155,4207,4289,4364,4417,4471,4545,4611,4672,4758,4836,4926,5004,5093,5177,5265,5360,5460,5569,5691,5788,5894,6013,6122,6242,6348,6459,6560,6672,6816,6931,7066,7195,7362,7491,7642,7781,7909,8036,8163,8299,8435,8625,8794,8970,9126,9302,9465,9627,9815,9976,10168,10351,10556,10743,10933,11129,11333,11559,11744,11953,12170,12376,12603,12822,13045,13277,13485,13733,13976,14219,14500,14769,15078,15400,15726,16024,16347,16680,17009,17347,17729,18095,18447,18820,19215,19610,20017,20365,20772,21207,21666,22133,22628,23107,23607,24157,24679,25230,25809,26404,26971,27584,28182,28782,29363,29974,30582,31177,31803,32448,33140,33800,34482,35181,35913,36657,37367,38110,38878,39636,40438,41270,42080,42921,43743,44584,45452,46333,47256,48175,49118,50008,50934,51849,52790,53764,54686,55686,56623,57605,58595,59635,60676,61715,62716,63723,64833,65976,67028,68124,69208,70465,71603,72760,73952,75250,76506,77821,79228,80533,81966,83387,84823,86267,87765,89291,90825,92384,93993,95619,97291,98996,100772,102504,104307,106095,107924,109766,111620,113590,115564,117621,119690,121864,124041,126274,128603,131013,133473,136010,138513,141049,143673,146377,149121,151906,154719,157675,160648,163654,166820,169934,173043
1,1,1,1,2,2,3,4,5,6,7,8,10,10,10,10,10,10,10,12,14,16,17,20,21,21,24,27,27,28,32,38,41,43,45,46,48,51,55,59,61,64,67,69,74,77,81,89,92,96,103,109,113,119,127,137,141,148,150,159,161,166,176,185,187,199,207,217,227,233,246,252,258,267,274,280,287,299,313,323,325,333,346,353,363,373,377,384,393,401,411,421,433,448,458,470,478,486,496,507,519,532,546,556,566,578,588,604,611,622,635,647,664,673,683,689,701,708,719,737,752,763,773,792,808,816,829,840,851,859,875,894,921,936,963,982,1009,1034,1050,1080,1103,1122,1158,1194,1230,1258,1292,1331,1361,1400,1440,1487,1545,1591,1654,1714,1779,1846,1906,1982,2050,2114,2199,2288,2371,2473,2581,2668,2765,2871,2992,3103,3203,3332,3468,3609,3751,3899,4040,4176,4312,4449,4601,4779,4969,5133,5308,5463,5617,5811,5989,6211,6402,6589,6810,7029,7248,7494,7719,7958,8214,8449,8711,8960,9223,9478,9735,10031,10304,10607,10906,11205,11540,11836,12224,12613,12981,13357,13757,14109,14537,14938,15360,15797,16201,16618,17093,17541,17997,18500,19010,19535,20095,20636,21179,21754,22308,22927,23542,24116,24708,25328,25995,26616,27285,28043,28723,29416,30137,30905,31700,32465,33248,34080,34996,35867,36756,37682,38629,39552,40554,41600,42643,43676,44717,45673,46682,47751,48845,49904,51014,52164,53328,54459,55618,56829,58074,59328,60607,61880,63235,64658,66159,67690,69214,70757,72379,74086,75716,77426,79200,80977,82937,84884,86847,88960,91097,93284,95458,97869,100291,102717,105213,107736,110372,112991,115733,118528,121266,124065,126972,129752,132698,135758,138918,142063,145357,148756,152184,155578,159122,162631,166339,169970,173629,177346,181142,185014,188856,192825,196836,200982,205233,209541,213983,218422,222904,227447,232008,236549,241283,246072,250862,255731,260688,265761,270988,276325,281740,287229,292856,298553,304429,310149,316150,322107,328441,334670,340909,347289,353582,359980,366457,372770,379358,386071,392928,399809,406815,413690,420736,427980,435298,442732,450374,458060,465948,474085,482415,490655,499270,508009,516729,525469,534511,543834,553050,562311,571956,581507,591242,601487,611545,621804,632269,642815,653701,664461,675395,686631,697940,709258,720613,732287,744148,756180,768208,780332,792669,805348,817825,830449,842992,855697,868646,881872,895093,908446,922131,935869,949752,963917,978039,992423,1007084,1021611,1036103,1051035,1066254,1081207,1096343,1111792,1127090,1142528,1158050,1173852,1189824,1205933,1221981,1238296,1254734,1271159,1287780,1304365,1321065,1338159,1355187,1372468,1389786,1407365,1425218,1443057,1460950,1479206,1497360,1515987,1534609,1553190,1571814,1590889,1610094,1629518,1648980,1668534,1688250,1708482,1728395,1748414,1769195,1789785,1810448,1831399,1852545,1873821,1895074,1916679,1938167,1959967,1982015,2003961,2026340,2049110,2071827,2094525,2117212,2140303,2163531,2186597,2210262,2233766,2257636,2281398,2305849,2330383,2354752,2379138,2403874
1,1,1,1,2,5,6,7,7,8,8,9,9,9,12,12,13,17,19,21,22,25,30,33,36,42,45,47,54,58,64,67,77,83,88,92,98,103,108,113,118,124,128,131,136,140,149,156,163,166,171,172,175,185,188,193,200,205,207,208,214,215,222,226,228,231,236,241,249,255,257,262,274,280,289,294,303,315,321,329,337,344,346,356,368,374,384,396,402,410,426,443,460,474,489,497,507,532,549,563,591,612,636,651,680,707,737,769,807,854,900,931,976,1010,1051,1094,1127,1164,1207,1239,1271,1315,1335,1376,1414,1452,1492,1533,1583,1609,1649,1688,1731,1771,1822,1887,1948,1997,2055,2131,2206,2267,2333,2397,2472,2543,2597,2674,2759,2856,2949,3054,3159,3236,3350,3452,3560,3667,3777,3898,4025,4142,4269,4374,4481,4617,4726,4856,5015,5165,5342,5516,5690,5882,6084,6265,6466,6674,6871,7087,7330,7580,7786,8025,8226,8466,8696,8928,9169,9444,9711,9987,10243,10525,10825,11127,11451,11763,12049,12360,12679,13024,13379,13728,14138,14492,14844,15210,15626,16031,16454,16879,17330,17762,18224,18708,19226,19726,20226,20750,21291,21860,22453,23044,23619,24202,24808,25443,26045,26693,27360,28022,28692,29388,30095,30771,31472,32270,33018,33751,34482,35238,36091,36909,37750,38576,39429,40294,41168,42037,42877,43727,44631,45553,46443,47405,48377,49359,50304,51291,52259,53241,54238,55209,56211,57213,58243,59299,60318,61363,62457,63492,64517,65624,66772,67901,69127,70313,71499,72775,74055,75348,76714,78055,79519,81013,82497,83988,85523,87141,88775,90469,92176,93946,95762,97568,99363,101161,103045,104986,106938,108945,110916,112928,115039,117100,119220,121302,123523,125750,127960,130244,132541,134869,137185,139630,142044,144525,147011,149572,152227,154827,157470,160146,162893,165692,168534,171551,174541,177634,180778,183987,187302,190585,194005,197500,201063,204647,208260,211970,215746,219711,223575,227527,231542,235829,240081,244441,248897,253451,258008,262598,267264,272172,277202,282238,287406,292705,298212,303682,309256,314942,320733,326404,332334,338344,344540,350719,357012,363427,370039,376906,383846,390805,397761,404953,412036,419469,426978,434554,442192,449899,457862,465952,474183,482431,490893,499524,508209,517067,525925,534853,544106,553457,563042,572632,582381,592313,602419,612586,623070,633510,644240,655282,666323,677540,688907,700349,712071,724078,735945,748237,760555,773000,785769,798497,811530,824680,838095,851678,865117,878953,892970,907048,921220,935565,950054,964711,979663,994775,1009996,1025375,1040818,1056602,1072556,1088545,1104842,1121284,1138046,1155023,1171968,1189071,1206459,1224262,1242121,1260282,1278403,1296716,1315194,1333626,1352188,1371038,1389802,1408887,1428128,1447848,1467469,1487019,1506978,1527121,1547146,1567654,1588059,1608717,1629642,1650629,1671711,1692986,1714207,1735986,1757463,1779379,1801265,1823379,1845746,1868417,1891144,1913938,1936786,1959677,1982922,2006319,2029693,2053312,2077117,2100905,2124734,2148673,2172707,2196985,2221316,2245546,2269907,2294707,2319116,2343510,2368338
1,1,2,4,6,6,6,7,8,11,12,13,15,16,19,20,24,24,25,29,31,34,39,40,49,56,60,65,68,70,74,79,81,84,89,94,98,103,105,106,107,109,114,121,123,129,136,143,148,154,158,164,168,178,186,190,192,201,207,210,213,218,225,230,235,238,241,247,252,262,268,280,288,298,308,312,326,340,354,364,375,382,391,401,416,430,440,451,464,477,488,498,517,534,542,569,590,609,625,653,677,698,715,735,759,780,807,826,848,869,899,929,970,1007,1042,1075,1119,1157,1190,1239,1277,1316,1354,1395,1434,1479,1537,1578,1625,1672,1711,1753,1814,1859,1906,1966,2009,2056,2117,2174,2216,2273,2330,2391,2443,2510,2570,2634,2708,2755,2798,2848,2902,2966,3028,3101,3188,3254,3339,3407,3474,3552,3620,3694,3773,3879,3973,4064,4150,4242,4326,4414,4502,4594,4691,4799,4898,4983,5081,5184,5293,5409,5530,5643,5769,5896,6006,6141,6256,6373,6525,6667,6812,6964,7144,7296,7454,7617,7791,7977,8160,8334,8534,8738,8957,9180,9394,9616,9846,10060,10290,10505,10765,11009,11255,11503,11756,11995,12238,12479,12715,13012,13274,13556,13831,14116,14424,14688,15001,15311,15632,15968,16344,16695,17025,17392,17770,18136,18540,18947,19365,19784,20246,20699,21162,21651,22134,22642,23187,23703,24219,24749,25300,25871,26394,26928,27484,28059,28668,29257,29867,30453,31003,31562,32160,32734,33363,33976,34600,35215,35892,36530,37188,37878,38542,39227,39932,40694,41480,42274,43064,43922,44774,45628,46499,47388,48263,49149,50173,51165,52154,53144,54248,55276,56364,57364,58500,59627,60780,61940,63109,64373,65665,66987,68400,69795,71240,72647,74081,75551,77001,78477,79939,81455,82952,84495,86079,87763,89416,91121,92778,94605,96503,98226,100062,101983,103883,105829,107714,109779,111817,113859,115978,118088,120200,122443,124646,126993,129245,131523,133842,136282,138682,141179,143563,146048,148590,151256,154004,156615,159399,162262,165081,168037,171038,174141,177260,180500,183780,186998,190358,193860,197363,200954,204562,208229,211847,215612,219397,223216,227010,230970,234942,238957,243105,247267,251430,255700,259946,264261,268724,273354,278022,282714,287515,292390,297425,302428,307541,312752,318192,323555,329051,334699,340445,346204,352058,357994,363926,370027,376108,382359,388637,395158,401594,408166,414822,421607,428502,435370,442411,449630,457086,464611,472249,479944,487746,495886,503950,512421,520657,528999,537646,546370,555197,564045,573323,582522,591961,601423,611021,620603,630476,640391,650541,660815,671334,681758,692433,703192,714163,724864,735875,747263,758702,770170,781748,793320,805003,816993,829168,841310,853725,866228,878919,891812,904910,918123,931645,945239,959014,972901,987012,1000938,1015063,1029526,1044160,1059058,1074167,1089212,1104650,1119967,1135680,1151530,1167419,1183585,1199992,1216650,1233597,1250691,1267926,1285567,1303119,1321113,1339094,1357136,1375421,1393832,1412345,1431135,1449900,1469112,1488264,1507802,1527602,1547468,1567301
1,1,1,3,3,4,4,5,5,7,10,11,11,14,14,19,20,20,20,21,23,25,26,27,31,35,36,37,39,39,41,44,48,50,51,52,55,57,57,57,58,59,60,61,62,63,66,69,71,72,73,73,76,76,76,77,77,78,80,81,84,84,87,88,89,90,92,93,99,101,104,104,107,110,112,116,120,126,131,134,138,140,141,142,144,149,154,160,165,167,172,173,175,176,178,181,183,185,187,189,190,192,194,197,197,199,199,200,200,200,202,203,203,206,208,209,212,213,216,216,217,217,218,219,219,219,219,220,220,223,224,224,225,226,228,229,229,229,230,230,230,230,231,231,233,235,237,237,238,240,244,245,245,247,248,250,250,250,252,254,260,261,265,267,269,273,277,280,281,282,283,283,287,290,295,300,302,309,313,315,318,320,322,327,331,339,343,346,352,355,364,371,374,378,388,395,405,410,420,426,438,443,451,456,459,466,470,475,485,490,500,506,512,518,531,539,545,554,562,573,580,592,607,620,633,643,664,682,691,703,718,737,747,765,783,793,809,823,835,848,864,874,885,895,910,920,930,937,939,942,951,962,967,978,989,997,1005,1011,1018,1025,1032,1038,1048,1054,1062,1067,1073,1084,1091,1095,1097,1102,1110,1114,1115,1123,1128,1132,1136,1142,1155,1161,1171,1177,1186,1191,1196,1202,1211,1219,1225,1236,1244,1249,1257,1263,1271,1279,1284,1291,1298,1304,1311,1321,1329,1338,1343,1354,1363,1366,1373,1381,1389,1395,1409,1419,1426,1433,1449,1457,1463,1475,1483,1496,1506,1517,1528,1544,1557,1570,1580,1592,1603,1611,1619,1632,1652,1664,1676,1695,1711,1721,1735,1739,1758,1772,1792,1801,1812,1825,1848,1871,1890,1906,1931,1951,1968,1987,2006,2031,2050,2077,2102,2135,2166,2207,2242,2266,2304,2337,2363,2392,2423,2459,2506,2546,2583,2611,2643,2672,2716,2758,2786,2810,2843,2880,2909,2950,2985,3023,3071,3116,3166,3216,3258,3305,3356,3395,3444,3490,3565,3627,3677,3727,3797,3862,3922,3976,4053,4119,4191,4258,4339,4414,4492,4559,4633,4709,4783,4848,4941,5018,5087,5168,5259,5351,5450,5530,5627,5723,5839,5955,6083,6206,6325,6434,6535,6648,6751,6881,7015,7143,7263,7392,7515,7643,7794,7908,8047,8190,8342,8478,8628,8764,8911,9060,9227,9366,9546,9713,9867,10051,10245,10430,10629,10845,11048,11273,11501,11730,11946,12191,12429,12673,12880,13125,13393,13646,13914,14203,14513,14786,15071,15405,15702,16075,16432,16828,17204,17626,18005,18454,18906,19388,19852,20354,20824
1,1,2,2,3,5,6,9,9,9,12,12,16,16,17,20,21,21,21,25,29,33,35,40,43,49,53,56,59,61,71,76,79,83,91,93,102,107,114,122,127,130,132,136,138,143,148,151,155,160,163,167,168,171,176,178,182,184,185,187,188,188,192,194,195,195,198,199,199,200,201,202,202,203,206,208,208,208,209,209,210,210,210,210,211,215,216,218,220,220,221,222,225,225,227,229,230,230,233,234,237,238,239,240,243,246,247,250,252,252,254,256,259,260,261,263,266,275,279,286,293,298,302,307,309,318,326,334,335,339,343,347,354,362,365,365,371,374,379,381,383,384,387,393,396,397,399,401,403,405,407,410,415,418,421,423,426,431,435,437,441,449,453,457,463,467,472,477,485,491,498,498,512,517,527,533,539,545,557,571,582,595,603,610,618,628,642,657,670,688,702,716,733,745,761,772,784,801,824,834,851,859,875,892,912,934,946,955,965,971,987,997,1005,1020,1038,1053,1067,1073,1083,1093,1113,1119,1129,1138,1150,1163,1179,1186,1197,1206,1216,1235,1239,1252,1258,1268,1277,1283,1295,1312,1328,1351,1364,1376,1384,1394,1407,1420,1433,1445,1457,1471,1482,1494,1510,1522,1536,1545,1558,1568,1579,1595,1614,1630,1637,1650,1666,1679,1701,1716,1736,1756,1769,1787,1800,1815,1835,1847,1861,1874,1886,1896,1913,1925,1931,1947,1959,1972,1989,2001,2010,2022,2037,2051,2068,2077,2085,2097,2114,2122,2138,2148,2157,2168,2181,2196,2211,2229,2243,2261,2274,2296,2320,2342,2358,2372,2388,2406,2421,2437,2451,2473,2483,2505,2520,2538,2555,2566,2583,2596,2623,2639,2654,2680,2697,2713,2742,2762,2783,2809,2831,2849,2872,2893,2929,2950,2980,3010,3032,3069,3093,3118,3152,3185,3214,3245,3289,3331,3353,3380,3415,3452,3483,3528,3566,3603,3628,3669,3702,3741,3775,3815,3854,3885,3926,3960,3994,4028,4082,4120,4165,4219,4260,4312,4355,4402,4447,4489,4533,4587,4636,4680,4728,4777,4829,4872,4931,4998,5065,5140,5203,5262,5324,5392,5452,5507,5574,5624,5692,5773,5836,5897,5963,6027,6090,6161,6235,6316,6392,6458,6567,6663,6739,6820,6918,7011,7111,7205,7304,7405,7521,7633,7747,7875,8012,8166,8309,8466,8622,8791,8964,9171,9401,9646,9897,10149,10435,10724,11035,11357,11664,11976,12297,12670,12999,13323,13666,14033,14384,14795,15165,15537,15926,16340,16754,17249,17698,18129,18583,19075,19552,20059,20536,20989,21509,22025,22524,23071,23557,24147,24723,25282,25905,26567,27233,27906,28608,29355,30112,30849,31616,32408,33235,34041,34923,35856,36801
1,1,1,1,1,1,1,2,3,6,6,7,7,8,10,12,12,13,13,13,13,13,13,14,14,15,17,19,22,24,24,26,29,31,31,32,33,34,35,37,39,40,40,43,44,46,47,48,48,48,50,51,56,56,60,61,62,65,66,67,67,68,72,73,75,78,78,80,81,81,82,84,86,86,86,86,87,88,90,90,91,96,98,99,100,103,105,106,108,110,112,112,115,117,121,121,122,123,127,127,128,130,131,132,135,136,140,141,142,145,145,147,152,158,158,159,161,162,163,164,165,166,167,168,171,173,174,181,186,191,194,195,198,201,204,208,214,224,229,239,244,252,266,278,295,310,321,337,351,368,390,403,418,432,442,454,462,476,484,496,510,520,533,540,547,555,560,568,572,581,588,593,597,603,611,619,622,629,635,637,639,640,643,647,652,657,662,665,669,669,671,675,680,681,683,684,685,685,686,687,687,687,688,689,690,692,694,697,697,700,701,701,702,702,703,704,706,707,707,707,708,709,711,713,714,716,719,719,719,720,720,721,722,723,724,724,724,724,724,726,726,729,730,731,731,731,732,736,740,742,743,744,744,745,750,754,755,757,762,764,766,770,771,773,776,778,783,786,790,793,795,799,802,804,807,812,813,814,820,824,832,833,836,837,840,843,847,852,860,864,871,876,882,888,893,901,909,915,921,927,934,940,948,956,964,970,977,988,994,1000,1006,1011,1022,1031,1042,1047,1056,1065,1073,1082,1083,1092,1097,1101,1103,1110,1116,1120,1126,1131,1137,1143,1153,1159,1165,1175,1185,1195,1201,1204,1211,1217,1225,1236,1248,1258,1266,1271,1287,1294,1300,1307,1320,1333,1346,1351,1359,1367,1377,1386,1400,1409,1418,1425,1436,1445,1452,1457,1464,1473,1487,1496,1502,1513,1523,1528,1538,1547,1556,1561,1567,1573,1581,1584,1590,1596,1605,1609,1615,1616,1618,1624,1630,1639,1645,1655,1662,1668,1671,1672,1683,1691,1695,1706,1716,1725,1733,1740,1744,1746,1751,1758,1772,1784,1791,1797,1805,1817,1821,1831,1835,1842,1853,1864,1876,1887,1898,1908,1915,1923,1933,1943,1959,1970,1985,1997,2015,2029,2046,2060,2072,2080,2094,2102,2115,2135,2146,2158,2176,2195,2214,2229,2254,2269,2285,2297,2312,2325,2343,2365,2381,2405,2419,2445,2459,2473,2492,2519,2541,2558,2582,2598,2618,2635,2651,2663,2685,2704,2728,2758,2791,2815,2840,2869,2893,2919,2941,2965,3002,3027,3062,3088,3109,3141,3175,3202,3230
1,1,1,1,2,2,2,3,6,6,8,8,9,11,12,13,14,16,16,19,20,22,24,27,29,34,37,41,49,49,52,56,59,63,64,69,72,77,83,88,93,97,102,104,108,110,112,113,115,116,120,122,127,127,127,131,133,134,138,142,144,147,148,151,153,155,156,157,158,159,161,162,163,163,163,165,167,168,172,172,173,177,177,178,179,180,181,184,184,189,189,190,193,194,196,200,204,209,211,211,212,212,214,215,215,215,215,215,215,215,215,216,216,216,218,218,218,218,218,218,218,218,218,218,219,219,220,222,223,223,223,223,223,223,223,223,223,223,223,223,224,224,224,224,224,224,225,226,226,226,226,226,226,226,226,226,226,226,226,229,231,233,234,235,238,241,245,248,250,253,257,261,262,266,269,274,275,279,282,288,295,304,307,314,320,325,332,340,344,353,360,371,378,388,399,413,420,426,435,446,454,466,481,487,497,509,517,526,531,539,547,554,561,566,574,580,589,596,601,607,626,633,643,645,652,660,669,679,684,693,703,706,714,718,725,733,738,744,752,759,765,774,784,794,798,805,814,826,832,841,848,855,862,866,876,889,899,908,916,919,925,931,942,949,957,969,978,988,1002,1007,1012,1019,1028,1043,1055,1064,1072,1078,1085,1089,1099,1105,1114,1124,1132,1145,1161,1171,1178,1188,1193,1205,1214,1224,1233,1238,1246,1253,1257,1262,1272,1278,1283,1287,1294,1298,1303,1306,1309,1318,1323,1336,1347,1360,1372,1385,1397,1415,1428,1450,1467,1485,1509,1526,1545,1560,1581,1604,1628,1646,1664,1685,1713,1730,1756,1779,1798,1819,1836,1853,1876,1895,1906,1929,1953,1967,1990,2018,2043,2067,2090,2108,2138,2160,2179,2217,2246,2274,2303,2329,2359,2386,2407,2428,2464,2500,2535,2577,2616,2653,2688,2724,2758,2808,2853,2893,2944,3005,3054,3107,3153,3215,3269,3327,3386,3435,3482,3547,3603,3652,3706,3747,3800,3853,3910,3959,4016,4081,4135,4201,4237,4298,4340,4405,4442,4481,4530,4600,4669,4727,4781,4830,4884,4945,5028,5102,5171,5245,5341,5437,5537,5631,5725,5839,5941,6046,6157,6258,6375,6490,6595,6731,6828,6980,7139,7296,7456,7615,7807,8005,8212,8441,8667,8930,9210,9496,9777,10047,10318,10585,10865,11163,11422,11672,11936,12207,12437,12704,12953,13205,13422,13652,13847,14054,14270,14513,14749,14960,15156,15372,15606,15837,16088,16308,16550,16838,17065,17322,17600,17882,18193,18496,18782,19073,19405,19725,20057,20372,20769,21135,21504,21885,22276,22678,23063,23442,23869
1,1,1,1,1,3,3,3,3,3,3,5,6,6,7,7,8,9,11,11,13,17,24,24,27,29,32,35,36,38,43,51,60,65,77,89,97,105,108,114,120,130,141,157,173,193,206,230,241,266,288,315,339,365,385,401,421,443,460,480,497,519,538,555,578,600,628,651,675,695,725,743,771,798,828,858,888,907,931,959,997,1030,1052,1070,1086,1112,1135,1160,1186,1222,1233,1261,1280,1298,1320,1340,1355,1372,1383,1401,1424,1443,1469,1493,1518,1550,1569,1598,1629,1655,1671,1709,1746,1790,1827,1871,1902,1938,1974,2026,2075,2131,2194,2241,2277,2314,2369,2414,2460,2518,2564,2619,2673,2738,2799,2857,2902,2961,3040,3091,3153,3222,3306,3383,3460,3552,3656,3742,3823,3911,4015,4108,4209,4320,4418,4521,4626,4737,4836,4964,5065,5169,5260,5373,5468,5563,5667,5792,5900,5987,6104,6218,6366,6479,6621,6769,6896,7021,7143,7282,7433,7602,7769,7945,8118,8316,8492,8692,8868,9085,9278,9504,9745,9986,10239,10492,10756,11012,11272,11548,11850,12155,12480,12803,13115,13418,13719,14054,14353,14706,15009,15355,15711,16063,16437,16795,17163,17513,17884,18219,18632,19097,19560,20001,20449,20927,21449,21938,22472,22946,23537,24097,24700,25247,25854,26459,27085,27684,28332,29000,29697,30405,31121,31848,32559,33362,34114,34932,35809,36621,37469,38419,39306,40194,41059,41935,42840,43761,44684,45640,46630,47594,48636,49625,50566,51528,52577,53636,54673,55753,56798,57996,59138,60290,61519,62724,63942,65177,66451,67696,68969,70301,71624,72892,74248,75627,76993,78403,79783,81143,82568,84031,85476,86983,88502,90070,91652,93294,94891,96515,98228,100019,101795,103708,105652,107696,109679,111740,113861,116043,118269,120492,122750,125072,127321,129765,132171,134510,136917,139392,141853,144422,147154,149939,152700,155536,158394,161260,164076,167015,170026,173130,176311,179376,182595,185891,189114,192436,195855,199231,202743,206205,209826,213488,217206,221053,225007,228969,232899,237081,241317,245709,250005,254546,259172,263927,268638,273314,278164,283016,287889,292886,297879,303037,308188,313331,318527,323768,329320,334840,340476,346373,352397,358656,364861,371203,377879,384579,391360,398185,405312,412672,420149,427702,435313,443279,451198,459109,467206,475471,483783,492191,500645,509056,517755,526390,535359,544453,553450,562587,571783,581069,590469,600101,609744,619488,629275,639155,649145,659118,669259,679517,689684,700076,710772,721302,732180,743157,754111,765193,776482,787943,799351,811218,822870,834659,846892,859147,871410,884121,897066,909810,922746,935951,949091,962380,975958,989741,1003629,1017600,1031544,1045627,1060079,1074431,1088997,1103828,1118533,1133352,1148199,1163444,1178745,1194115,1209819,1225684,1241662,1257832,1273889,1290353,1307031,1323855,1340579,1357730,1374876,1392365,1410260,1428080,1446131,1464318,1482439,1501105,1519673,1538467,1557297,1576208,1594794,1614000,1633200,1652733,1672177,1691890,1711675,1731531,1751375,1771836,1792245,1812692,1833219,1854301,1875410,1896707,1917990,1939368,1961109,1982810,2004830,2027116,2049417
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1,1,1,1,1,1,2,3,3,4,6,6,6,6,7,7,7,7,9,9,9,9,10,12,14,14,17,17,18,19,23,26,29,37,40,45,50,53,55,59,64,65,72,76,80,81,84,89,95,100,109,118,127,133,139,146,157,161,166,172,181,190,195,204,209,218,227,235,246,253,260,269,275,284,293,305,318,328,335,344,355,361,365,374,382,391,399,409,418,428,434,444,455,464,477,484,494,502,521,540,553,565,576,594,609,622,633,648,664,679,684,687,699,716,725,739,742,751,767,781,793,809,821,830,844,865,876,888,902,921,931,941,953,971,987,1002,1014,1027,1041,1056,1077,1096,1114,1130,1155,1172,1200,1223,1252,1270,1294,1330,1362,1386,1413,1432,1475,1503,1529,1562,1605,1654,1690,1742,1798,1862,1935,1998,2053,2110,2169,2229,2309,2386,2457,2523,2587,2655,2715,2763,2815,2871,2935,2985,3041,3103,3158,3224,3274,3335,3394,3469,3543,3628,3707,3821,3904,4023,4146,4262,4394,4547,4720,4877,5025,5180,5327,5480,5618,5751,5919,6054,6187,6318,6430,6575,6704,6841,6940,7069,7192,7320,7455,7573,7701,7815,7932,8035,8175,8292,8428,8560,8685,8833,8972,9114,9263,9397,9555,9707,9866,10017,10164,10322,10492,10659,10838,11014,11198,11385,11575,11760,11961,12152,12369,12590,12782,12998,13186,13427,13650,13860,14081,14297,14506,14711,14894,15088,15317,15510,15731,15900,16096,16279,16456,16643,16841,17030,17214,17387,17557,17739,17927,18113,18325,18528,18737,18928,19131,19347,19577,19797,20039,20259,20487,20770,21030,21298,21553,21834,22122,22429,22748,23094,23427,23761,24135,24537,24945,25383,25802,26254,26722,27216,27742,28240,28764,29285,29826,30374,30916,31560,32146,32793,33414,34071,34712,35352,36008,36658,37370,38074,38763,39487,40199,40952,41742,42452,43221,43996,44816,45620,46431,47238,48048,48878,49699,50566,51410,52240,53124,54028,54899,55844,56766,57728,58658,59624,60602,61659,62670,63710,64756,65847,66993,68122,69358,70512,71753,73006,74318,75639,76971,78311,79683,81094,82513,83999,85534,87045,88649,90286,91944,93683,95445,97213,98982,100856,102786,104669,106656,108707,110750,112800,114844,116880,119100,121376,123623,125871,128184,130543,132999,135412,137975,140511,143069,145709,148367,151167,153834,156665,159401,162199,165147,168163,171113,174110,177181,180284,183422,186614,189874,193222,196536,200090,203506,206991,210628,214288,218080,221848,225674,229592,233739,237892,242028,246303,250529,255000,259476,264073,268827,273731,278812,283806,288758,293900,299110,304401,309889,315546,321151,326877,332740,338571,344604,350780,357010,363391,369864,376274,382850,389609,396476,403489,410662,417894,425229,432891,440681,448590,456554,464773,472912,481459,489974,498584,507242,516122,525269,534269,543450,552912,562413,572086,581840,591698,601805,611819,622303,632789,643339,654070,664982,676237,687592
1,1,1,1,1,3,3,3,5,5,7,7,8,9,11,12,14,16,19,20,27,29,30,32,35,37,42,45,47,50,55,58,61,63,71,81,91,98,102,111,117,128,136,140,146,156,162,166,173,177,187,190,204,216,225,232,235,243,249,262,270,282,290,302,309,320,333,346,362,377,385,395,413,433,442,462,484,511,532,549,572,590,612,638,662,680,704,718,739,768,796,818,856,876,893,912,941,972,995,1013,1044,1069,1084,1108,1142,1164,1183,1196,1225,1243,1272,1293,1323,1351,1375,1400,1428,1449,1468,1490,1518,1543,1568,1593,1617,1646,1660,1683,1711,1732,1753,1785,1818,1850,1885,1917,1948,1987,2023,2061,2108,2143,2178,2222,2256,2287,2335,2375,2416,2459,2503,2531,2596,2642,2671,2716,2757,2798,2850,2898,2961,3013,3061,3104,3158,3220,3274,3316,3359,3408,3459,3539,3587,3636,3688,3740,3796,3869,3925,3989,4050,4130,4193,4251,4313,4387,4481,4557,4628,4703,4771,4850,4913,4980,5053,5119,5202,5277,5344,5429,5512,5575,5648,5719,5790,5858,5921,5996,6059,6119,6184,6253,6348,6422,6493,6565,6629,6706,6774,6853,6938,7038,7110,7195,7284,7364,7437,7514,7584,7668,7745,7833,7920,8004,8096,8201,8306,8405,8501,8601,8691,8780,8879,8972,9065,9172,9248,9354,9451,9546,9658,9768,9861,9967,10077,10177,10277,10374,10485,10573,10716,10834,10939,11059,11158,11277,11390,11514,11626,11762,11893,12036,12161,12295,12430,12578,12741,12902,13052,13203,13374,13552,13735,13914,14076,14256,14474,14691,14926,15162,15421,15684,15955,16228,16517,16818,17119,17408,17726,18004,18284,18587,18890,19149,19445,19696,19982,20266,20571,20908,21246,21570,21932,22298,22655,23006,23378,23729,24085,24423,24785,25146,25459,25848,26222,26602,26944,27293,27609,28018,28377,28754,29141,29532,29903,30287,30683,31056,31447,31854,32279,32722,33156,33602,34079,34512,34956,35399,35865,36357,36812,37289,37787,38247,38778,39287,39791,40318,40865,41409,41906,42444,42973,43484,44030,44607,45150,45726,46305,46948,47544,48111,48746,49371,50031,50701,51350,51985,52645,53332,54050,54823,55565,56335,57096,57863,58713,59520,60381,61302,62208,63143,64106,65131,66109,67191,68337,69471,70660,71923,73151,74443,75733,77036,78336,79622,80938,82237,83598,85027,86452,87880,89317,90697,92182,93736,95252,96812,98338,99902,101590,103306,105077,106891,108764,110754,112756,114770,116845,118933,121030,123274,125504,127813,130080,132505,134915,137417,139977,142573,145140,147996,150855,153753,156723,159593,162563,165632,168670,171858,174932,178197,181428,184759,188074,191549,194871,198384,201804,205337,209010,212727,216526,220451,224354,228239,232143,236090,240124,244302,248522,252925,257485,262078,266579,271273,275971,280891,285882,290968,295922,301076,306362,311580,316834,322102,327508,333050,338665,344319,350093,356118,362133,368329,374727,381099,387725
1,1,1,1,1,1,3,3,4,5,5,5,8,8,8,8,8,8,8,8,8,10,10,11,11,13,15,18,23,24,26,33,36,39,41,50,56,63,66,70,76,78,85,90,97,105,113,119,128,136,144,152,161,167,176,184,195,210,221,233,245,254,263,275,287,298,309,322,342,359,372,395,413,443,472,498,533,566,597,627,663,697,734,759,791,818,853,883,917,967,1004,1046,1100,1145,1198,1241,1298,1382,1448,1532,1610,1684,1787,1856,1957,2040,2145,2251,2365,2484,2601,2721,2843,2959,3073,3195,3340,3485,3624,3766,3911,4048,4189,4346,4501,4624,4770,4932,5073,5211,5357,5518,5653,5828,5984,6153,6326,6505,6676,6882,7055,7224,7409,7576,7758,7918,8065,8220,8396,8553,8706,8884,9042,9188,9337,9482,9630,9787,9947,10083,10256,10397,10549,10702,10864,11021,11197,11365,11537,11729,11916,12103,12298,12500,12713,12919,13152,13346,13554,13743,13981,14209,14412,14628,14816,15036,15265,15489,15715,15977,16261,16563,16843,17158,17518,17832,18169,18563,18949,19323,19680,20064,20402,20795,21139,21496,21837,22185,22499,22883,23234,23614,23930,24254,24607,24934,25262,25607,25946,26287,26630,26993,27336,27681,28013,28398,28770,29137,29526,29949,30380,30769,31219,31690,32195,32735,33270,33827,34376,34980,35568,36189,36761,37376,38015,38627,39299,40018,40703,41399,42216,42992,43851,44727,45573,46489,47385,48325,49360,50394,51371,52382,53448,54535,55594,56647,57597,58592,59649,60685,61728,62726,63831,64975,66103,67258,68438,69606,70830,72027,73200,74438,75659,76860,78128,79410,80741,82045,83426,84764,86139,87478,88893,90326,91787,93270,94822,96335,97897,99495,101172,102946,104774,106544,108374,110211,112041,113973,115957,117949,120093,122258,124422,126596,128869,131105,133420,135845,138219,140707,143283,145752,148273,150979,153597,156294,159060,161958,164958,167861,170836,173952,177067,180221,183348,186590,189903,193267,196722,200171,203690,207327,210895,214521,218206,222035,225783,229624,233510,237385,241403,245572,249676,253854,258176,262487,266809,271188,275760,280396,285103,289830,294564,299535,304510,309635,314835,320113,325406,330930,336431,341948,347795,353767,359666,365791,371945,378333,384799,391512,398464,405346,412374,419424,426736,434176,441740,449299,457213,465035,473174,481307,489382,497931,506436,515210,524101,532904,542052,551295,560719,570397,580034,589894,599797,609888,620135,630590,641192,651876,662584,673642,684652,695911,707232,718713,730367,742144,754118,766283,778527,790683,802997,815350,828103,840583,853364,866160,879167,892454,905749,919062,932422,946195,960011,974005,988164,1002469,1017221,1031624,1046418,1061334,1076305,1091406,1106836,1122033,1137336,1152914,1168498,1184404,1200410,1216420,1233078,1249395,1265828,1282380,1299250,1316021,1332887,1350193,1367325,1384640,1401903,1419388,1436813,1454846,1472577,1490348,1508324,1526353,1544544,1562557,1581042,1599619,1618107,1636934,1655846,1674771,1694010,1713521,1733144,1752905,1772680,1792412,1812307,1832211,1852727,1872992,1893588,1914327,1935242,1956307,1977487,1998974,2020878,2042653,2064675
1,1,1,1,1,1,3,4,4,6,7,10,10,10,10,12,13,13,13,15,15,18,19,20,22,25,27,28,32,35,36,38,39,41,45,45,49,55,58,60,65,72,74,75,78,79,82,82,84,85,90,94,94,99,99,106,111,115,120,123,126,129,130,135,136,140,145,151,154,155,158,163,167,171,172,174,177,182,188,191,192,195,197,200,201,201,202,204,206,209,211,213,217,219,221,224,224,225,225,228,230,231,234,241,244,252,257,259,268,272,278,281,284,285,292,302,310,316,327,335,349,354,361,370,377,387,403,415,431,445,455,466,474,486,502,513,518,524,536,544,557,564,573,584,594,604,612,620,629,639,646,657,667,676,686,697,704,708,721,730,734,741,750,752,758,767,774,777,782,791,802,810,825,832,848,854,865,875,877,886,890,897,909,917,931,941,946,951,954,958,963,966,975,984,990,992,1000,1006,1009,1010,1014,1018,1020,1027,1027,1032,1041,1051,1058,1063,1070,1080,1090,1101,1107,1114,1122,1137,1147,1162,1178,1191,1201,1211,1224,1232,1243,1249,1263,1277,1284,1289,1295,1303,1307,1319,1329,1337,1343,1352,1361,1367,1379,1386,1397,1404,1413,1421,1426,1440,1444,1452,1462,1468,1477,1491,1501,1506,1513,1520,1528,1533,1545,1560,1564,1567,1581,1591,1595,1604,1609,1612,1619,1623,1627,1627,1630,1637,1642,1643,1651,1658,1661,1673,1675,1679,1681,1683,1689,1692,1696,1703,1706,1709,1717,1725,1725,1734,1739,1742,1744,1748,1754,1756,1764,1774,1781,1791,1796,1800,1812,1820,1827,1833,1834,1841,1846,1855,1860,1867,1873,1878,1885,1891,1900,1908,1913,1920,1930,1932,1939,1951,1958,1964,1975,1978,1981,1985,1988,1995,2000,2005,2009,2013,2027,2037,2049,2059,2066,2073,2078,2081,2085,2092,2097,2100,2104,2110,2116,2120,2126,2132,2137,2143,2145,2147,2151,2156,2160,2163,2167,2168,2174,2178,2184,2188,2191,2196,2205,2211,2222,2225,2231,2233,2241,2249,2258,2265,2271,2278,2286,2293,2301,2307,2318,2334,2346,2355,2372,2388,2408,2428,2452,2465,2492,2511,2540,2557,2583,2610,2638,2660,2689,2714,2738,2764,2793,2819,2842,2868,2894,2920,2946,2967,3001,3031,3065,3092,3123,3158,3192,3224,3264,3290,3324,3372,3413,3459,3510,3563,3614,3671,3720,3768,3814,3858,3907,3952,4028,4072,4142,4206,4271,4316,4369,4448,4512,4567,4626,4683,4737,4803,4858,4919,4991,5052,5133,5217,5297,5376,5448,5530,5613,5688,5763,5852,5952,6042,6144,6233,6319,6408,6514,6619,6707,6807,6899,7004,7124,7247,7331,7424,7548,7650,7767,7875,7982
1,1,1,1,1,1,4,4,5,6,6,10,12,15,16,18,24,26,30,32,35,40,47,49,51,54,57,59,63,67,68,70,74,77,78,81,82,83,86,89,91,93,94,97,99,102,104,110,112,119,122,126,126,132,136,138,140,143,149,154,155,156,159,165,168,178,181,189,193,198,207,215,219,226,232,240,249,257,263,271,276,285,305,315,328,347,365,376,392,411,423,436,449,460,479,493,507,522,535,551,564,578,596,605,627,650,672,688,707,721,739,753,765,779,788,805,815,829,847,861,876,891,913,927,941,957,970,990,1007,1018,1037,1055,1081,1094,1109,1122,1138,1158,1166,1187,1207,1221,1235,1254,1281,1299,1325,1342,1366,1383,1409,1435,1476,1508,1537,1580,1611,1653,1700,1734,1774,1822,1860,1906,1947,1992,2036,2078,2125,2166,2211,2253,2289,2326,2360,2401,2431,2472,2499,2538,2578,2612,2663,2698,2734,2780,2813,2860,2913,2987,3041,3097,3161,3235,3302,3379,3454,3542,3634,3726,3836,3924,3990,4063,4137,4211,4291,4374,4450,4533,4594,4672,4733,4796,4855,4934,5007,5071,5124,5199,5262,5325,5399,5462,5516,5588,5652,5702,5753,5816,5888,5953,6023,6097,6171,6250,6324,6412,6506,6602,6709,6814,6929,7024,7161,7283,7419,7561,7688,7832,7975,8105,8247,8406,8534,8676,8838,8967,9108,9248,9384,9526,9676,9832,9951,10083,10237,10390,10566,10713,10874,11011,11158,11310,11441,11610,11777,11949,12136,12335,12525,12724,12923,13116,13321,13527,13746,13927,14148,14374,14602,14805,15043,15256,15492,15754,16028,16352,16631,16915,17200,17510,17833,18158,18524,18894,19215,19580,19939,20291,20692,21029,21402,21743,22097,22444,22788,23147,23507,23895,24328,24696,25081,25476,25864,26262,26678,27085,27460,27925,28345,28767,29211,29692,30153,30663,31193,31719,32241,32769,33316,33868,34364,34883,35406,35988,36553,37124,37714,38328,38942,39573,40202,40802,41435,42094,42806,43494,44238,44980,45748,46519,47279,48081,48922,49835,50804,51728,52657,53648,54640,55590,56631,57704,58823,59899,60972,62089,63154,64316,65507,66660,67812,69020,70297,71588,72881,74257,75593,76992,78452,79929,81423,82962,84536,86188,87955,89712,91552,93354,95390,97227,99257,101246,103176,105247,107294,109312,111437,113570,115830,118138,120566,122985,125472,127983,130644,133385,136223,139015,141878,144812,147833,150862,153901,157183,160383,163675,166933,170366,173860,177304,180767,184266,187973,191565,195174,198864,202529,206414,210343,214366,218299,222448,226532,230768,235053,239297,243761,248101,252561,257163,261834,266656,271476,276454,281574,286504,291530,296809,302130,307288,312556,317962,323298,328778,334382,339991,345728,351549,357254,362983,368797,374754,381026,387280,393581,400047,406645,413322,420184,427031,434057,441041,448312,455689,463294,470915,478748,486765,494936,503161,511497,519821,528320,536965,545657
1,1,1,1,3,3,8,8,9,10,10,12,13,14,15,19,26,28,29,34,41,51,56,59,61,66,71,72,84,88,90,93,98,101,102,103,104,107,108,113,116,123,126,131,137,141,145,150,157,160,165,173,176,180,182,188,189,193,199,201,203,206,210,216,223,232,236,240,252,261,268,275,283,295,298,308,318,328,342,346,355,368,382,391,399,414,424,441,449,458,462,477,485,496,508,514,528,542,552,562,575,585,603,616,633,648,662,676,690,695,715,729,747,770,784,805,824,840,863,889,909,926,951,980,1004,1020,1043,1066,1083,1099,1128,1151,1167,1187,1205,1231,1254,1280,1296,1319,1347,1376,1396,1413,1431,1452,1480,1500,1517,1529,1558,1581,1600,1625,1649,1677,1700,1730,1751,1785,1811,1841,1858,1881,1912,1940,1972,1995,2018,2051,2068,2096,2127,2168,2198,2224,2251,2277,2305,2332,2360,2391,2417,2444,2465,2488,2513,2546,2576,2600,2637,2656,2683,2709,2733,2767,2804,2837,2865,2889,2915,2952,2984,3008,3038,3077,3103,3131,3153,3180,3199,3235,3253,3277,3296,3316,3341,3362,3382,3418,3449,3482,3504,3529,3562,3595,3627,3671,3714,3753,3787,3821,3853,3892,3936,3982,4036,4091,4152,4222,4317,4413,4520,4611,4719,4844,4953,5058,5192,5311,5422,5550,5664,5782,5915,6026,6131,6233,6360,6484,6608,6730,6834,6949,7058,7164,7287,7401,7513,7616,7727,7859,7977,8073,8199,8319,8419,8550,8645,8769,8880,9015,9124,9238,9348,9470,9593,9710,9832,9971,10096,10236,10362,10498,10640,10779,10915,11065,11195,11344,11473,11620,11795,11959,12124,12310,12470,12649,12825,13000,13217,13382,13586,13816,14043,14253,14468,14728,14958,15175,15397,15653,15952,16211,16464,16732,17004,17271,17556,17859,18155,18475,18784,19109,19454,19802,20173,20554,20949,21344,21791,22213,22622,23033,23459,23882,24301,24777,25222,25699,26127,26572,26996,27465,27934,28489,28996,29526,30066,30620,31215,31728,32264,32827,33387,33963,34555,35103,35647,36278,36902,37539,38127,38794,39499,40196,40930,41590,42357,43124,43834,44605,45389,46179,46992,47776,48582,49424,50224,51067,51963,52846,53756,54750,55747,56724,57728,58776,59853,61002,62179,63320,64572,65805,67077,68335,69647,70951,72302,73634,74985,76354,77705,79108,80458,81905,83355,84848,86334,87811,89466,90937,92486,94098,95692,97375,99002,100699,102404,104164,105899,107788,109636,111656,113586,115540,117660,119727,121867,124067,126273,128627,131008,133366,135770,138354,140957,143508,146162,148808,151550,154331,157080,159861,162834,165854,168980,172039,175278,178585,181767,185106,188388,191782,195218,198793,202362,205934,209536,213284,216930,220771,224640,228508,232433,236543,240544,244765,249039,253348,257687,262186,266674,271191,275830,280540,285219,290124,295052,299963,304893,310026,315271,320415,325639,331014,336350
1,1,1,1,1,5,6,7,8,10,11,13,15,18,21,22,26,31,33,40,43,44,49,52,58,62,66,72,77,85,92,97,106,108,112,117,126,130,133,144,150,152,158,164,172,179,182,191,195,196,198,199,205,207,207,211,215,220,229,232,235,241,252,258,265,274,282,288,296,298,307,312,322,332,342,351,358,369,381,392,405,422,431,443,453,463,478,484,492,503,517,528,540,547,557,569,575,583,587,596,599,607,613,617,622,632,639,649,655,664,676,691,703,709,717,728,734,743,750,759,762,772,781,788,797,809,821,833,845,857,866,875,886,896,911,929,948,960,985,1005,1024,1040,1064,1086,1104,1130,1164,1177,1205,1228,1252,1280,1297,1327,1350,1385,1417,1441,1472,1501,1533,1590,1620,1652,1676,1713,1751,1778,1804,1837,1860,1894,1919,1945,1982,2015,2044,2077,2107,2144,2182,2212,2251,2297,2335,2379,2435,2484,2539,2589,2646,2700,2759,2820,2887,2965,3039,3117,3172,3252,3337,3432,3506,3576,3655,3735,3811,3894,3982,4065,4136,4212,4279,4348,4409,4500,4572,4660,4739,4806,4900,4983,5073,5175,5269,5362,5468,5588,5694,5813,5914,6044,6148,6263,6404,6539,6660,6782,6920,7035,7160,7281,7449,7587,7715,7835,7957,8100,8240,8378,8515,8625,8753,8902,9030,9163,9318,9485,9625,9771,9912,10067,10221,10385,10533,10699,10859,11031,11197,11351,11508,11665,11830,12009,12159,12331,12528,12722,12887,13050,13245,13409,13582,13776,13971,14159,14333,14532,14722,14915,15132,15360,15553,15763,15958,16171,16406,16670,16913,17144,17383,17626,17872,18131,18412,18702,18985,19316,19630,19948,20283,20633,20975,21366,21706,22072,22410,22831,23231,23642,24066,24455,24827,25244,25648,26050,26481,26919,27377,27856,28340,28814,29354,29854,30366,30880,31402,31964,32497,33049,33610,34162,34725,35329,35900,36453,37009,37618,38141,38760,39372,39949,40559,41130,41761,42421,43086,43763,44445,45151,45840,46556,47265,47967,48728,49411,50105,50790,51616,52391,53164,53991,54846,55656,56484,57390,58312,59278,60229,61204,62188,63193,64221,65267,66310,67409,68473,69561,70718,71874,73003,74209,75423,76669,77890,79154,80581,82015,83422,84821,86312,87788,89297,90859,92455,94123,95859,97580,99325,101005,102799,104615,106419,108277,110224,112125,114067,116012,118030,120054,122064,124131,126208,128398,130738,133045,135446,137857,140267,142754,145289,147767,150347,152932,155575,158300,161066,163807,166606,169530,172505,175513,178626,181892,185017,188276,191562,194776,198094,201582,205205,208837,212463,216180,219880,223703,227439,231273,235355,239385,243499,247795,252231,256566,260899,265391,269861,274490,279159,283814,288793,293849,298894,304104,309330,314753,320175,325905,331826,337672,343689,349813,355995,362405,368918,375520,382452,389537,396576,403702,411019,418304,425606,433081,440589,448188,456088
1,1,1,3,4,4,6,6,6,7,10,12,15,20,21,21,23,27,33,38,44,48,54,57,67,76,79,88,92,96,103,108,115,127,133,137,143,147,160,167,177,184,190,196,207,215,227,242,248,253,259,266,273,276,280,291,298,306,314,319,320,329,334,341,349,359,367,376,383,389,396,402,415,425,438,451,461,477,485,493,502,513,524,539,553,561,583,601,617,638,666,710,754,811,870,934,1007,1096,1210,1325,1446,1583,1711,1831,1940,2057,2185,2298,2400,2497,2607,2714,2791,2899,2991,3082,3186,3289,3369,3456,3525,3601,3669,3757,3839,3916,4020,4108,4205,4325,4454,4591,4775,4946,5139,5322,5499,5706,5909,6099,6330,6569,6764,7014,7235,7508,7760,8031,8287,8523,8752,8992,9239,9461,9678,9920,10140,10352,10573,10784,10985,11173,11376,11565,11760,11982,12192,12444,12711,12979,13220,13468,13763,14031,14332,14676,15024,15363,15712,16058,16397,16777,17181,17585,18003,18445,18909,19379,19838,20285,20718,21203,21721,22209,22733,23279,23855,24359,24913,25465,26049,26677,27262,27801,28429,29031,29674,30307,30941,31601,32274,32981,33698,34364,35135,35892,36657,37395,38175,39007,39881,40743,41579,42448,43314,44157,45023,45950,46892,47826,48787,49686,50689,51741,52892,54066,55336,56583,57923,59171,60540,61927,63350,64739,66103,67530,69067,70607,72178,73736,75241,76782,78479,80198,81982,83807,85560,87342,89122,90936,92837,94698,96640,98730,100792,102849,104895,106894,108849,110849,112922,114978,117040,119145,121276,123362,125470,127663,129954,132080,134424,136783,139113,141596,144038,146450,148969,151608,154337,157121,159859,162630,165508,168577,171571,174707,177912,181150,184404,187737,191039,194422,197931,201451,204988,208557,212240,215829,219515,223152,226959,230803,234744,238620,242527,246583,250737,254814,259075,263322,267550,272075,276618,280972,285649,290476,295244,300039,305090,310147,315183,320384,325659,330987,336503,341958,347551,353043,358801,364605,370548,376564,382517,388599,394851,401072,407333,413763,420483,427298,434186,441082,448252,455466,462640,469857,477288,484952,492685,500442,508519,516678,525101,533429,542024,550867,559851,568836,578112,587579,597091,606754,616724,626845,637045,647477,657979,668630,679548,690442,701693,712857,724336,736104,747990,759829,771837,784119,796461,809171,822093,835040,848290,861452,874787,888439,902081,915810,929766,943768,958223,972505,987180,1001902,1016851,1031813,1046912,1062389,1077795,1093434,1109276,1125080,1141040,1157416,1173757,1190358,1207278,1224301,1241571,1258824,1276106,1293746,1311654,1329811,1348130,1366355,1384754,1403167,1422051,1440977,1459916,1479361,1498756,1518516,1538247,1558094,1578066,1598427,1618823,1639376,1660514,1681626,1702673,1724220,1745953,1767827,1789489,1811452,1833722,1855883,1878438,1900891,1923593,1946492,1969423,1992106,2015224,2038158,2061276,2084605,2108288,2131699,2155260,2178826,2202267,2226063,2249776,2273903,2298133,2322633,2346759,2371392,2395675,2420097,2445085,2469950,2495005,2520225,2545928,2571677,2597489,2623374,2649356,2675441,2701838,2728349,2755115,2782047,2808729,2835329,2861987,2888735,2915522,2942520,2969081,2996237,3023423
1,1,1,2,3,5,5,8,9,9,11,12,13,15,16,19,20,23,26,31,32,32,35,36,40,43,48,53,59,63,71,73,75,77,81,83,91,95,98,101,105,112,116,125,133,141,146,150,158,162,171,174,178,183,189,199,206,219,229,238,243,251,259,263,269,278,283,294,299,304,309,319,327,330,334,337,341,349,358,370,380,389,391,395,402,414,420,430,441,456,465,477,489,499,507,513,520,528,543,551,555,563,571,575,585,592,603,608,611,617,620,628,631,641,647,657,667,674,681,690,700,713,730,737,750,767,772,783,791,797,807,828,847,854,869,876,891,911,923,933,955,976,993,1026,1043,1067,1093,1110,1129,1151,1172,1194,1215,1234,1249,1270,1292,1318,1335,1351,1379,1394,1417,1445,1464,1486,1499,1515,1546,1560,1586,1604,1630,1666,1692,1716,1743,1774,1812,1858,1899,1944,1997,2039,2087,2140,2211,2265,2319,2387,2467,2551,2621,2704,2812,2895,2977,3055,3149,3241,3323,3401,3503,3602,3700,3792,3895,4016,4112,4203,4319,4406,4514,4633,4735,4858,4987,5125,5258,5409,5551,5700,5834,5998,6136,6296,6447,6608,6780,6939,7109,7306,7509,7719,7931,8124,8319,8535,8761,8961,9200,9426,9646,9866,10105,10330,10536,10791,11031,11286,11549,11808,12045,12308,12573,12871,13191,13506,13776,14077,14405,14748,15112,15467,15824,16186,16581,17007,17422,17836,18239,18688,19139,19631,20113,20600,21113,21620,22147,22679,23204,23789,24361,24912,25500,26113,26707,27310,27976,28581,29274,29945,30614,31368,32085,32860,33609,34402,35249,36103,36950,37838,38746,39701,40634,41658,42718,43755,44910,46075,47223,48362,49644,50873,52167,53468,54763,56145,57506,58909,60402,61920,63446,64945,66542,68109,69774,71406,73064,74785,76568,78395,80192,82132,84023,85964,87966,89997,92064,94115,96408,98600,100879,103199,105646,108075,110409,112963,115461,118073,120674,123530,126328,129229,132171,135185,138190,141278,144444,147660,150975,154310,157618,160970,164477,168085,171782,175564,179363,183266,187202,191286,195506,199807,204080,208441,212922,217450,222251,227078,231897,236895,241764,246912,252154,257575,263170,268713,274343,280369,286244,292275,298567,304797,311218,317712,324479,331407,338378,345718,352839,360102,367791,375386,383188,391101,399128,407267,415608,423969,432638,441276,449981,458854,467742,476714,485938,495057,504179,513433,522673,532165,541577,551227,560880,570659,580546,590509,600479,610845,621111,631503,642095,652871,663748,674407,685352,696726,707864,719137,730631,742233,753663,765489,777493,789279,801252,813590,826055,838725,851198,863968,876936,889965,903281,916434,929838,943296,956982,970765,984502,998536,1012775,1027243,1041963,1056731,1071502,1086559,1101317,1116608,1132179,1147447,1163093,1178834,1194767,1210727,1226922,1243226,1259824,1276583,1293343,1310409,1327396,1344468,1361866,1379342,1397102,1415084,1433294,1451554,1469765,1488109,1506795,1525673,1544714,1563895,1583131
1,1,1,1,1,2,3,5,6,7,7,7,8,8,8,12,14,14,15,16,17,17,19,22,23,26,29,35,36,39,40,42,48,50,52,56,59,60,61,63,67,72,76,78,79,82,85,88,91,93,95,99,101,109,109,113,116,121,123,130,132,137,145,151,154,155,166,169,173,177,184,195,202,212,217,223,229,233,238,246,254,268,277,286,294,305,319,333,344,355,370,377,385,396,410,420,436,454,470,490,514,529,554,586,605,634,660,691,722,750,785,821,862,894,922,953,993,1038,1069,1104,1169,1205,1259,1304,1355,1406,1464,1528,1588,1646,1696,1766,1839,1893,1941,2011,2074,2137,2207,2282,2355,2418,2481,2537,2594,2673,2726,2800,2866,2907,2972,3031,3100,3159,3239,3292,3355,3416,3482,3568,3645,3727,3801,3895,3987,4093,4200,4316,4402,4512,4617,4725,4842,4955,5072,5181,5274,5384,5485,5604,5718,5831,5936,6038,6142,6237,6332,6436,6515,6606,6701,6778,6869,6943,7032,7124,7216,7295,7369,7470,7553,7633,7715,7782,7860,7954,8046,8132,8233,8309,8393,8482,8560,8643,8726,8819,8911,8983,9070,9158,9244,9343,9422,9526,9607,9705,9812,9917,10009,10111,10213,10315,10416,10502,10626,10731,10838,10945,11061,11181,11293,11420,11539,11638,11758,11878,11986,12109,12223,12351,12468,12609,12738,12874,13007,13140,13264,13372,13494,13638,13779,13913,14060,14205,14347,14480,14614,14773,14941,15077,15214,15339,15481,15617,15758,15911,16056,16209,16365,16523,16681,16824,16968,17110,17258,17440,17594,17739,17891,18064,18241,18418,18597,18769,18949,19144,19340,19518,19708,19917,20121,20315,20517,20733,20966,21173,21393,21632,21856,22096,22312,22575,22842,23091,23365,23632,23951,24227,24499,24808,25099,25401,25723,26021,26291,26599,26930,27227,27559,27856,28144,28444,28781,29082,29442,29749,30052,30352,30669,30962,31288,31589,31887,32230,32537,32879,33251,33632,34020,34354,34750,35125,35480,35856,36229,36614,37006,37427,37873,38300,38723,39138,39556,39992,40422,40821,41243,41664,42093,42540,42941,43387,43811,44244,44683,45152,45635,46101,46593,47056,47564,48054,48565,49132,49711,50280,50941,51618,52296,53028,53767,54524,55290,56095,56922,57737,58546,59393,60334,61276,62223,63285,64361,65467,66613,67799,69045,70275,71448,72773,74124,75446,76781,78223,79686,81134,82626,84232,85859,87470,89156,90858,92631,94453,96319,98190,100069,101982,104020,106053,108063,110171,112237,114314,116478,118614,120858,123001,125288,127589,129842,132210,134603,136999,139374,141843,144310,146935,149497,151997,154748,157651,160502,163273,166237,169321,172588,175752,179187,182656,186160,189688,193319,197054,200818,204632,208404,212323,216196,220299,224435,228617,232848,237203,241492,245772,250300,254823,259441,264219,269260,274244,279314,284596,289920,295302,300900,306430,312009,317734,323437,329218,335188,341077,347119,353413,359549
1,1,1,1,1,2,3,3,7,8,9,9,10,10,10,11,12,13,14,15,17,19,20,23,25,28,31,35,38,43,45,49,55,57,66,68,74,80,83,85,92,100,107,113,120,126,135,140,143,149,158,170,173,179,190,197,206,213,217,229,239,246,255,264,274,279,293,304,308,320,337,349,362,374,389,401,416,428,440,457,464,474,482,493,500,510,521,533,541,551,558,566,577,592,600,609,627,644,662,674,683,693,700,706,725,734,742,752,763,774,785,793,804,810,824,834,842,852,858,864,873,884,894,900,911,925,941,948,961,970,982,993,1003,1012,1022,1032,1042,1050,1055,1060,1071,1077,1087,1092,1098,1110,1118,1126,1131,1134,1141,1143,1151,1153,1159,1166,1171,1176,1179,1183,1190,1196,1200,1205,1209,1213,1218,1223,1230,1241,1243,1251,1256,1266,1270,1272,1283,1291,1296,1301,1306,1315,1327,1332,1339,1348,1354,1358,1367,1373,1381,1393,1402,1408,1417,1430,1438,1444,1453,1459,1468,1476,1481,1487,1488,1491,1497,1505,1516,1527,1530,1542,1546,1549,1556,1557,1559,1562,1573,1574,1582,1585,1589,1593,1603,1605,1612,1614,1620,1627,1635,1639,1642,1649,1658,1666,1672,1677,1687,1692,1701,1709,1722,1726,1734,1741,1747,1758,1768,1775,1786,1800,1811,1827,1844,1852,1870,1892,1900,1915,1933,1955,1976,1986,1999,2013,2023,2047,2058,2081,2092,2107,2126,2141,2160,2182,2198,2214,2230,2245,2270,2294,2314,2338,2360,2380,2404,2422,2448,2469,2490,2513,2533,2557,2580,2610,2634,2665,2685,2716,2738,2758,2778,2808,2826,2854,2884,2920,2952,2982,3007,3043,3098,3133,3176,3219,3255,3311,3370,3413,3459,3514,3557,3596,3665,3720,3778,3842,3903,3960,4027,4092,4166,4227,4292,4383,4465,4552,4634,4707,4793,4871,4957,5038,5130,5226,5309,5415,5510,5612,5707,5797,5899,6004,6090,6190,6273,6366,6462,6556,6655,6752,6858,6968,7093,7200,7324,7432,7527,7630,7743,7856,7970,8081,8191,8317,8432,8557,8687,8807,8924,9059,9184,9328,9456,9604,9773,9914,10055,10213,10407,10564,10721,10911,11127,11291,11512,11760,12017,12273,12579,12858,13156,13456,13750,14060,14347,14672,15010,15325,15625,15968,16331,16724,17083,17503,17928,18367,18860,19353,19909,20453,21006,21574,22188,22845,23480,24181,24822,25450,26116,26838,27537,28243,28983,29656,30386,31106,31898,32651,33410,34216,35006,35879,36725,37646,38541,39516,40470,41411,42371,43361,44375,45370,46401,47430,48532,49596,50702,51909,53094,54274,55367,56540,57747,58957,60181,61388,62703,64036,65310,66704,68013,69413,70833,72170,73616,75083,76516,77971,79461,80929,82480,83998,85555,87099,88746,90288,91931,93527,95297,97047,98757,100488,102281,104082,106040
1,1,1,1,1,1,4,4,4,6,9,9,12,14,14,15,15,15,16,16,18,19,20,21,24,27,29,30,33,37,40,44,45,46,50,56,61,65,68,71,76,82,86,90,94,101,107,110,113,117,124,137,144,150,158,165,173,181,187,192,195,204,207,214,221,228,236,243,252,261,266,275,279,287,289,294,299,304,309,321,331,333,336,338,344,350,358,363,367,372,375,377,380,390,401,410,422,430,441,452,458,465,474,482,488,500,513,525,538,545,552,556,565,580,594,602,614,623,641,655,677,694,715,732,744,762,774,796,820,840,854,873,892,907,920,933,947,963,983,995,1014,1040,1065,1082,1103,1124,1139,1172,1186,1200,1222,1242,1266,1282,1307,1333,1355,1382,1410,1443,1462,1491,1521,1550,1574,1599,1627,1650,1695,1730,1764,1799,1838,1869,1904,1934,1973,2003,2035,2070,2102,2154,2207,2250,2299,2360,2422,2486,2581,2701,2808,2935,3066,3204,3355,3510,3666,3806,3960,4104,4292,4424,4580,4722,4887,5055,5217,5387,5615,5792,5999,6245,6485,6712,6957,7179,7426,7698,7940,8238,8504,8815,9092,9397,9703,10030,10335,10660,10970,11261,11544,11836,12134,12442,12744,13022,13317,13607,13877,14168,14443,14707,14977,15237,15498,15776,16035,16323,16573,16861,17152,17438,17756,18042,18358,18666,19000,19386,19711,20092,20444,20767,21150,21530,21929,22335,22722,23118,23527,23951,24386,24815,25236,25635,26038,26519,26992,27484,28017,28525,29041,29524,30066,30584,31152,31714,32293,32856,33478,34118,34777,35437,36117,36817,37524,38270,39014,39847,40644,41508,42435,43287,44170,45071,46021,46932,47945,48928,49962,50971,52046,53116,54252,55421,56636,57767,58900,60083,61336,62609,63839,65133,66368,67660,69008,70427,71906,73390,74936,76521,78100,79713,81446,83191,84949,86740,88620,90532,92498,94533,96644,98782,100907,103158,105357,107753,110175,112681,115243,117879,120673,123393,126137,128870,131759,134697,137803,140906,144063,147201,150459,153685,157084,160607,164001,167705,171416,175115,178909,182747,186792,190850,195057,199224,203572,207914,212440,217114,221728,226305,231043,235992,240824,245758,250659,255699,260751,265892,271177,276520,281977,287424,292916,298658,304323,310098,316084,322249,328376,334741,341309,347854,354460,361198,367988,374882,381880,389125,396252,403663,411155,418757,426609,434645,442733,451093,459685,468135,476882,485663,494562,503454,512681,521901,531328,540806,550325,560119,570061,580170,590372,600603,611175,622022,632558,643497,654456,665581,676883,688325,699795,711293,722862,734787,746775,758913,771041,783469,795911,808485,821216,834050,847184,860381,873769,887026,900754,914432,928149,942095,956121,970411,984833,999195,1014002,1028820,1043798,1058959,1074200,1089603,1105299,1120886,1136544,1152677,1168677,1184620,1200960,1217561,1234037,1250746,1267632,1284647,1301691,1319120,1336606,1354358,1372161,1389969,1408019,1426382,1444461,1462829,1481352,1499788,1518074,1536740,1555441
1,1,1,1,4,5,6,7,7,7,7,8,10,10,12,13,14,15,16,16,19,21,24,29,30,32,34,35,37,39,40,43,45,48,50,59,68,73,80,82,89,98,102,106,117,131,140,148,157,168,176,183,189,191,201,207,212,220,223,229,236,240,247,252,258,272,280,290,296,307,319,327,338,346,355,371,385,393,407,415,429,439,447,461,472,488,503,515,534,544,557,572,587,599,610,622,635,649,658,681,691,702,718,732,742,767,786,804,825,837,844,862,879,899,915,934,958,982,1009,1045,1069,1094,1108,1127,1162,1193,1223,1249,1279,1297,1321,1342,1359,1377,1395,1416,1442,1468,1485,1503,1518,1529,1542,1555,1567,1588,1609,1626,1642,1662,1672,1687,1703,1714,1725,1740,1752,1759,1774,1792,1806,1820,1831,1854,1867,1883,1894,1910,1925,1946,1960,1970,1990,2006,2023,2041,2060,2074,2086,2102,2119,2132,2146,2167,2182,2198,2210,2226,2242,2264,2273,2284,2300,2317,2339,2355,2388,2411,2436,2459,2496,2533,2554,2573,2596,2630,2657,2687,2702,2726,2751,2782,2817,2845,2877,2904,2924,2955,2978,3008,3038,3061,3091,3118,3150,3170,3197,3226,3259,3289,3314,3344,3379,3417,3437,3481,3512,3548,3582,3609,3638,3670,3703,3742,3782,3804,3845,3871,3908,3937,3975,3999,4033,4076,4116,4142,4174,4210,4250,4282,4317,4349,4383,4416,4453,4480,4518,4556,4588,4617,4647,4667,4708,4747,4778,4825,4860,4921,4961,4991,5031,5063,5103,5162,5216,5278,5331,5382,5446,5512,5579,5650,5736,5801,5892,5993,6078,6192,6308,6418,6567,6681,6794,6929,7066,7207,7343,7552,7772,7987,8196,8437,8674,8918,9147,9377,9615,9848,10111,10373,10616,10877,11128,11351,11583,11842,12101,12322,12507,12733,12944,13183,13414,13629,13852,14080,14302,14531,14754,15013,15275,15528,15783,16067,16360,16701,17056,17468,17894,18291,18710,19127,19562,19976,20405,20823,21308,21728,22144,22598,23047,23521,23951,24390,24828,25264,25735,26212,26675,27144,27640,28173,28701,29241,29809,30323,30878,31433,32042,32589,33139,33680,34255,34843,35450,36101,36748,37396,38070,38785,39451,40126,40836,41558,42360,43176,43962,44771,45616,46461,47332,48199,49152,50117,51056,51985,52904,53857,54828,55781,56682,57701,58772,59796,60835,61877,62972,64035,65164,66265,67425,68549,69744,70974,72253,73581,74833,76158,77406,78787,80166,81652,83186,84680,86227,87877,89445,91059,92797,94531,96336,98128,99939,101789,103648,105562,107419,109343,111351,113375,115422,117447,119612,121759,123857,126088,128354,130461,132769,135099,137435,139885,142240,144585,146995,149496,152049,154650,157331,160065,162854,165718,168713,171652,174674,177788,180937,184185,187386,190668,194080,197411,200867,204302,207824,211606,215411,219200,223139,227208,231387,235754,240068,244539,249016,253618,258316
1,1,3,5,5,5,6,6,6,6,6,6,6,8,10,12,12,13,13,13,13,13,14,14,15,16,17,19,20,20,20,23,25,28,30,32,33,33,35,35,40,45,48,54,56,61,67,72,75,79,87,94,98,103,107,120,126,129,132,139,146,151,158,165,172,180,185,197,202,204,210,216,225,233,241,249,262,283,291,302,311,321,336,353,371,391,408,428,445,470,485,508,521,548,568,590,614,626,650,673,700,727,764,792,818,840,870,909,933,963,988,1034,1065,1100,1154,1186,1228,1265,1306,1345,1386,1425,1470,1517,1564,1609,1659,1710,1748,1792,1835,1879,1946,1996,2042,2090,2124,2178,2224,2285,2338,2386,2434,2485,2532,2583,2637,2688,2734,2779,2833,2889,2955,3008,3055,3112,3187,3246,3311,3387,3473,3537,3626,3705,3784,3852,3922,3987,4064,4132,4212,4290,4364,4431,4491,4559,4628,4709,4783,4858,4948,5032,5120,5198,5281,5366,5459,5534,5614,5724,5832,5913,6011,6130,6243,6336,6456,6566,6687,6801,6929,7056,7171,7285,7410,7537,7663,7796,7934,8065,8216,8338,8482,8631,8778,8912,9048,9193,9356,9522,9689,9837,9977,10129,10298,10505,10674,10857,11041,11247,11454,11654,11856,12056,12246,12454,12683,12953,13185,13418,13677,13947,14238,14489,14795,15072,15380,15730,16064,16401,16763,17153,17543,17951,18292,18701,19134,19537,19985,20457,20974,21469,21999,22514,23068,23668,24246,24840,25431,26061,26681,27313,27963,28619,29267,29936,30609,31298,32012,32774,33529,34245,34976,35726,36481,37205,37998,38790,39588,40393,41274,42159,43055,44019,44978,45913,46958,47996,49080,50189,51358,52486,53667,54928,56109,57321,58560,59920,61180,62542,63898,65248,66550,67933,69388,70723,72139,73522,74936,76398,77897,79441,80936,82581,84204,85767,87452,89144,90860,92580,94393,96177,98074,99885,101809,103711,105711,107601,109543,111564,113646,115716,117796,119978,122309,124480,126719,128990,131199,133365,135581,137851,140145,142380,144823,147275,149807,152303,154772,157255,159801,162426,165108,167734,170467,173155,175892,178703,181471,184352,187312,190361,193445,196648,199931,203293,206730,210289,213895,217599,221477,225254,229392,233540,237681,241930,246222,250600,254957,259395,263902,268517,273057,277796,282521,287404,292345,297258,302239,307250,312449,317594,322721,327961,333165,338465,343907,349406,354903,360576,366308,372093,377817,383793,389822,395920,402121,408411,414752,421198,427904,434457,441257,447951,454965,461867,468760,475755,482853,489999,497406,504820,512458,520055,527683,535532,543366,551393,559582,567951,576347,584728,593436,602120,611130,619917,628818,637878,647115,656388,665927,675738,685653,695564,705441,715354,725364,735612,746184,756824,767573,778491,789411,800672,811989,823259,835037,846867,859186,871576,884158,896846,909745,922827,935841,949112,962870,976551,990029,1003792,1017911,1032086,1046448,1060843,1075279,1089831,1104541,1119283,1134425,1149706,1165319,1180936,1196834,1212842,1229093,1245219,1261774
1,1,1,1,1,2,4,5,5,7,7,8,12,15,17,17,20,20,21,22,23,27,30,33,35,36,37,38,46,50,51,55,57,62,66,72,77,80,83,86,88,96,101,103,106,109,115,117,120,129,135,140,146,151,153,159,163,166,170,178,182,193,199,209,214,221,226,230,236,242,255,266,279,294,303,315,323,330,336,342,352,361,370,384,394,409,423,432,446,461,470,475,489,498,505,518,539,548,562,570,582,600,616,630,647,663,673,692,705,716,724,741,752,763,770,795,814,828,844,867,892,916,937,960,975,991,1015,1034,1058,1080,1098,1117,1133,1160,1184,1197,1220,1231,1256,1278,1292,1317,1349,1368,1389,1413,1437,1461,1479,1508,1532,1559,1580,1597,1625,1648,1671,1695,1721,1747,1769,1800,1843,1874,1896,1930,1957,1988,2013,2038,2063,2089,2133,2162,2188,2214,2242,2274,2299,2322,2345,2379,2413,2436,2457,2498,2534,2563,2594,2631,2658,2692,2717,2756,2781,2809,2835,2861,2897,2923,2955,2989,3005,3035,3064,3091,3114,3146,3176,3205,3234,3264,3299,3319,3345,3367,3398,3418,3436,3460,3494,3521,3548,3581,3612,3639,3665,3700,3736,3768,3809,3853,3895,3929,3976,4030,4076,4147,4211,4271,4335,4396,4484,4573,4667,4772,4872,4983,5093,5204,5295,5401,5497,5585,5713,5810,5913,6021,6133,6237,6354,6474,6602,6733,6850,6950,7080,7211,7366,7516,7670,7805,7963,8148,8353,8544,8729,8887,9067,9250,9454,9636,9831,10014,10204,10399,10582,10767,10993,11169,11383,11624,11827,12036,12294,12509,12707,12903,13121,13328,13535,13758,13984,14196,14394,14608,14834,15070,15313,15535,15752,15944,16172,16402,16624,16837,17076,17341,17600,17894,18161,18458,18745,19070,19382,19728,20068,20397,20747,21093,21479,21829,22183,22580,23034,23437,23865,24364,24878,25392,25993,26539,27118,27722,28347,29013,29698,30391,31057,31784,32539,33236,33982,34743,35564,36349,37183,38027,38915,39785,40682,41538,42475,43389,44300,45273,46302,47386,48452,49625,50761,51926,53114,54255,55402,56597,57837,59103,60436,61700,63059,64435,65863,67334,68810,70349,71803,73353,74915,76622,78210,79810,81475,83160,84878,86652,88435,90217,92004,93801,95566,97452,99391,101344,103324,105245,107279,109428,111524,113631,115835,117977,120258,122536,124891,127341,129817,132425,134965,137566,140128,142748,145504,148205,150973,153754,156558,159385,162362,165252,168264,171319,174465,177620,180747,184007,187365,190768,194177,197615,201182,204830,208486,212150,215931,219731,223589,227613,231576,235656,239724,244013,248434,252691,257032,261467,266072,270671,275609,280506,285614,290839,296144,301550,307015,312668,318357,324119,330115,336147,342406,348828,355568,362249,368833,375615,382651,389856,397169,404664,412201,419886,427564,435482,443261,451278,459152,467188,475333,483757,492091,500528,508998,517645,526437,535350,544489
1,1,1,1,1,2,3,4,5,6,7,7,7,7,7,7,8,10,12,12,13,14,16,16,19,20,21,22,23,25,28,31,34,39,41,47,48,50,50,51,55,60,64,67,68,70,72,77,84,88,90,94,101,103,106,109,111,115,117,120,122,124,125,130,130,133,136,138,140,143,146,148,151,152,155,155,157,162,168,169,169,171,177,178,181,182,188,190,193,194,196,200,201,206,212,217,220,221,227,233,236,241,250,259,267,272,279,283,288,295,297,302,304,312,314,320,327,335,344,349,356,364,367,370,371,372,380,384,391,392,397,404,409,413,414,419,420,425,429,431,431,433,439,444,445,448,449,449,454,459,463,464,469,477,480,483,489,495,501,511,525,533,543,550,562,568,573,581,589,600,613,625,635,639,643,648,655,666,677,690,701,709,724,735,744,750,760,771,779,789,799,811,818,830,840,854,868,891,905,917,926,939,947,967,983,1000,1016,1028,1049,1072,1092,1114,1136,1156,1179,1195,1217,1254,1276,1300,1320,1355,1387,1408,1433,1466,1496,1533,1572,1598,1624,1651,1689,1727,1760,1795,1830,1867,1911,1942,1985,2027,2079,2123,2158,2195,2251,2293,2347,2399,2462,2516,2576,2641,2700,2773,2865,2959,3042,3150,3262,3366,3468,3588,3723,3832,3978,4114,4261,4442,4611,4762,4928,5084,5287,5510,5697,5906,6162,6368,6605,6833,7073,7319,7537,7790,8031,8275,8515,8771,8980,9209,9453,9661,9859,10099,10341,10552,10763,10976,11182,11404,11600,11825,12042,12279,12497,12712,12936,13175,13426,13658,13883,14114,14387,14656,14918,15186,15457,15762,16045,16320,16580,16868,17169,17464,17773,18076,18387,18714,19030,19338,19659,19956,20290,20619,20974,21346,21685,22044,22392,22711,23036,23389,23743,24108,24504,24887,25301,25686,26092,26501,26919,27332,27792,28260,28689,29162,29640,30162,30687,31189,31747,32300,32924,33545,34149,34748,35377,36078,36780,37456,38128,38815,39555,40259,40969,41693,42457,43206,43981,44764,45538,46324,47101,47979,48831,49658,50585,51557,52565,53568,54565,55538,56585,57719,58857,59950,61076,62197,63305,64438,65612,66786,68053,69256,70460,71695,72905,74134,75459,76740,78029,79470,80772,82155,83554,84941,86372,87799,89171,90594,92047,93540,95062,96573,98157,99749,101360,103014,104808,106691,108611,110578,112666,114721,116933,119178,121491,123770,126068,128487,130890,133360,135783,138293,140829,143437,145972,148643,151307,153950,156713,159486,162374,165230,168128,171087,174106,177176,180188,183352,186535,189736,193062,196494,199947,203452,206963,210581,214313,218109,221873,225799,229767,233721,237772,241718,245893,250182,254475,258884,263311,267727,272264,277056,281781,286614,291549,296492,301587,306835,312157,317749,323126,328747,334451
1,1,1,1,1,2,3,3,3,3,4,6,9,10,12,14,16,19,22,23,28,29,30,33,36,38,43,47,53,58,65,72,78,83,89,92,95,99,107,110,116,119,128,134,144,148,155,161,167,178,187,198,212,218,227,237,245,254,262,272,279,289,296,308,315,324,333,351,366,373,384,391,404,414,429,437,446,458,468,484,494,502,513,524,527,535,543,550,561,564,572,586,595,610,622,632,647,664,679,693,704,710,727,742,757,776,783,796,814,843,859,870,897,912,929,947,971,993,1016,1037,1050,1073,1089,1105,1123,1153,1177,1196,1213,1233,1247,1273,1284,1308,1330,1352,1379,1395,1419,1445,1472,1496,1516,1537,1559,1577,1600,1620,1636,1658,1679,1694,1717,1741,1765,1781,1803,1822,1844,1860,1875,1903,1930,1945,1969,1992,2023,2062,2099,2132,2166,2230,2288,2336,2409,2481,2576,2666,2771,2879,2979,3087,3193,3300,3412,3523,3621,3737,3826,3929,4027,4137,4236,4333,4445,4547,4649,4754,4865,4999,5145,5321,5483,5668,5816,5984,6194,6374,6561,6754,6967,7181,7391,7647,7899,8133,8377,8649,8914,9181,9466,9746,10010,10278,10570,10860,11200,11553,11854,12191,12510,12821,13164,13523,13870,14204,14551,14920,15278,15656,16081,16484,16931,17365,17781,18180,18582,19001,19398,19770,20181,20651,21066,21517,21976,22374,22794,23220,23677,24150,24642,25121,25602,26089,26553,27055,27578,28084,28639,29200,29807,30338,30880,31450,32048,32670,33264,33866,34397,34980,35596,36194,36866,37544,38181,38860,39634,40406,41187,41956,42742,43588,44449,45266,46177,47109,48042,49045,50047,51165,52195,53257,54314,55449,56625,57837,59042,60274,61496,62774,64067,65414,66655,67980,69370,70734,72093,73492,74903,76412,77949,79585,81247,82848,84512,86208,87964,89772,91538,93377,95346,97288,99276,101246,103334,105399,107431,109516,111725,113862,116085,118351,120656,122999,125327,127738,130343,132892,135602,138270,141030,143780,146539,149412,152327,155306,158333,161465,164633,167832,171081,174345,177667,181103,184602,188145,191763,195459,199205,203071,207097,211270,215362,219609,223901,228203,232688,237184,241816,246406,251344,256027,260900,265915,271070,276418,281728,287086,292545,298180,303879,309732,315620,321534,327654,333819,340057,346404,352658,359207,365808,372336,379032,385768,392699,399758,406802,414243,421582,429071,436474,444046,451628,459499,467409,475324,483667,491969,500374,508906,517576,526245,535131,544188,553209,562311,571537,580727,590165,599686,609240,619175,629087,639251,649197,659469,669759,680302,690811,701688,712549,723606,734616,745857,757100,768681,780207,791893,804003,816294,828649,840931,853287,865880,878728,891903,904858,918063,931424,944860,958451,972606,986568,1000898,1015267,1029768,1044489,1059622,1074757,1090132,1105584,1120894,1136630,1152588,1168521,1184567,1201068,1217434,1234098,1250986,1267910,1284868,1301925,1319418,1336620,1354348,1372073,1389860,1407960,1426206,1444619,1463342,1482056,1501132,1520104,1539179,1558492
1,1,1,1,1,1,1,3,3,5,5,9,9,10,10,12,12,14,14,16,20,21,22,24,24,25,25,28,29,34,34,34,37,42,45,50,53,54,57,57,61,64,69,74,78,87,91,96,100,104,110,114,119,127,137,145,151,155,156,163,170,179,183,190,194,203,211,216,221,221,225,228,232,241,246,257,268,277,279,285,293,297,302,309,316,322,328,334,341,352,365,381,397,407,420,430,446,465,485,500,520,543,559,586,607,625,644,666,691,708,731,749,779,794,818,839,867,890,919,954,976,1002,1027,1061,1079,1099,1123,1150,1188,1228,1257,1296,1323,1359,1400,1441,1478,1507,1548,1586,1614,1655,1690,1731,1767,1798,1831,1870,1904,1944,1976,2026,2054,2090,2132,2173,2216,2258,2297,2343,2393,2434,2474,2510,2547,2577,2621,2668,2701,2762,2811,2870,2914,2962,3011,3062,3113,3174,3224,3282,3331,3373,3436,3492,3561,3623,3691,3740,3803,3870,3917,3972,4024,4095,4159,4229,4288,4357,4418,4487,4539,4591,4662,4730,4797,4868,4922,5009,5065,5126,5182,5246,5311,5364,5420,5500,5558,5616,5688,5758,5816,5880,5950,6009,6079,6142,6201,6273,6351,6423,6491,6563,6633,6712,6788,6863,6941,7009,7087,7158,7234,7306,7367,7421,7478,7545,7626,7693,7784,7840,7906,7969,8024,8085,8132,8204,8266,8327,8399,8464,8527,8580,8659,8728,8796,8869,8936,9004,9073,9144,9230,9319,9394,9455,9524,9592,9674,9746,9821,9899,9970,10028,10118,10178,10254,10320,10386,10452,10540,10610,10679,10756,10827,10905,10983,11061,11117,11187,11259,11339,11433,11521,11598,11699,11795,11872,11961,12047,12132,12232,12307,12402,12493,12601,12710,12827,12950,13069,13159,13276,13405,13517,13626,13764,13885,14026,14167,14290,14446,14607,14750,14907,15052,15217,15366,15502,15631,15779,15939,16078,16238,16395,16557,16713,16841,16997,17137,17293,17471,17653,17817,18005,18206,18406,18605,18784,18984,19178,19369,19565,19763,19963,20162,20341,20532,20724,20912,21109,21311,21542,21754,21960,22161,22385,22587,22774,23013,23226,23497,23773,24075,24367,24678,24985,25360,25663,26003,26374,26744,27052,27400,27769,28120,28513,28867,29314,29733,30136,30572,30980,31425,31868,32298,32799,33352,33848,34410,34985,35564,36196,36851,37514,38141,38833,39505,40150,40882,41604,42358,43097,43823,44535,45327,46066,46818,47607,48438,49303,50192,51044,51962,52917,53873,54932,55976,56977,58002,59046,60102,61178,62278,63340,64434,65504,66608,67694,68871,69954,71053,72136,73225,74383,75554,76717,77935,79094,80157,81311,82522,83766,85002,86286,87618,88963,90308,91736,93154,94640,96092,97626,99220,100819,102386,103960,105583,107292,109041,110752,112529,114378,116143,117898,119755,121676,123592,125549,127551,129535,131545,133695,135824,138079,140418,142723,145154,147657,150141
1,1,1,1,1,4,4,5,7,7,8,10,12,14,17,19,21,23,24,25,27,30,33,35,38,39,42,44,45,47,50,51,52,54,57,60,63,67,75,84,88,93,103,104,108,113,113,115,119,122,124,131,136,142,148,156,159,166,168,174,175,180,183,186,193,200,202,205,209,213,216,220,225,228,236,244,251,257,262,268,273,282,292,297,308,316,321,325,333,340,346,351,355,359,362,369,372,376,378,382,388,390,395,397,401,404,408,411,417,418,421,427,429,432,435,437,443,448,450,456,464,472,479,483,488,490,496,506,510,519,525,532,538,545,549,556,563,571,577,581,586,589,598,601,607,614,625,629,632,637,644,648,656,669,675,683,692,699,713,727,736,750,776,791,801,821,843,863,886,912,945,966,986,1012,1030,1057,1079,1109,1145,1182,1214,1252,1287,1317,1353,1393,1431,1468,1516,1570,1604,1641,1684,1726,1776,1823,1865,1909,1968,2011,2058,2120,2171,2221,2276,2341,2404,2459,2517,2584,2655,2728,2803,2876,2948,3027,3118,3192,3291,3385,3489,3593,3701,3823,3923,4040,4152,4257,4327,4453,4566,4679,4776,4893,5029,5144,5259,5386,5528,5655,5794,5940,6084,6233,6393,6539,6712,6868,7021,7167,7325,7480,7650,7801,7955,8100,8248,8383,8549,8727,8886,9053,9216,9378,9570,9746,9915,10088,10263,10467,10676,10873,11071,11255,11462,11678,11913,12167,12427,12682,12910,13157,13435,13696,14018,14308,14619,14909,15202,15499,15812,16125,16446,16784,17145,17495,17865,18250,18622,19049,19470,19863,20318,20793,21285,21785,22281,22826,23324,23840,24408,24988,25516,26085,26664,27232,27808,28414,29012,29604,30255,30877,31520,32194,32861,33555,34256,34991,35664,36409,37191,37941,38736,39559,40333,41108,41888,42679,43493,44308,45160,46026,46923,47801,48702,49611,50510,51462,52371,53363,54344,55299,56257,57197,58183,59189,60194,61191,62221,63242,64321,65417,66456,67563,68710,69892,71074,72267,73601,74853,76109,77440,78772,80177,81633,83113,84564,86134,87718,89327,91015,92655,94303,96002,97609,99308,101054,102855,104719,106605,108527,110481,112526,114693,116829,119058,121354,123707,126019,128437,130829,133309,135846,138411,140966,143533,146166,148903,151715,154560,157515,160466,163582,166679,169836,172914,176121,179397,182818,186272,189868,193362,197021,200707,204439,208384,212432,216443,220447,224591,228725,232999,237385,241745,246236,250861,255593,260362,265152,270147,275054,280091,285381,290536,295931,301337,306903,312292,317705,323280,328966,334648,340308,346123,352169,358145,364276,370511,376898,383346,389992,396494,403162,410082,416918,423794,430852,437975,445232,452612,460114,467777,475562,483477,491558,499543,507698,516056,524423,532911,541545,550311,559196,568252,577315,586408,595784,605358,615176,625150,635096,645141,655347,665852,676413,687072,697878
1,1,1,1,1,1,3,3,4,5,6,7,7,7,7,8,9,9,9,10,10,10,10,11,11,13,13,13,13,13,13,13,13,14,14,14,17,17,18,19,20,20,20,20,20,21,21,21,21,24,24,24,25,25,25,25,25,25,25,25,25,26,27,28,29,29,31,31,32,34,35,36,37,40,40,40,40,40,40,41,41,41,43,45,47,49,51,51,52,52,52,55,60,61,66,74,78,83,84,89,94,98,103,111,113,124,131,138,147,155,168,181,194,205,220,233,245,268,282,297,309,318,338,349,364,382,397,422,446,466,488,514,533,562,583,600,626,638,664,684,704,730,754,774,797,822,833,851,866,884,903,922,941,952,970,980,994,1007,1017,1029,1041,1053,1060,1070,1077,1083,1094,1097,1100,1111,1123,1130,1141,1148,1162,1172,1194,1211,1237,1253,1269,1291,1344,1386,1456,1520,1616,1705,1798,1883,1977,2090,2181,2301,2399,2484,2588,2698,2774,2882,2975,3085,3212,3323,3452,3558,3680,3828,3968,4124,4287,4455,4619,4766,4892,5049,5197,5348,5483,5619,5773,5911,6034,6156,6281,6405,6528,6652,6775,6890,7013,7156,7296,7408,7517,7655,7784,7905,8033,8158,8274,8406,8549,8669,8807,8918,9032,9171,9301,9440,9574,9698,9832,9962,10092,10222,10353,10491,10612,10740,10873,10969,11091,11199,11313,11423,11553,11681,11780,11882,11992,12103,12203,12305,12402,12502,12588,12703,12795,12923,13057,13205,13339,13503,13680,13855,14035,14209,14395,14589,14778,14975,15185,15388,15578,15817,16049,16246,16456,16688,16919,17153,17420,17667,17911,18179,18458,18772,19068,19394,19694,20025,20376,20707,21058,21420,21782,22121,22478,22867,23207,23590,23953,24337,24721,25107,25471,25926,26364,26767,27192,27644,28082,28488,28936,29392,29843,30349,30836,31311,31825,32355,32865,33368,33858,34416,34945,35551,36092,36738,37336,37981,38638,39288,39950,40675,41390,42121,42865,43611,44374,45199,45929,46704,47486,48275,49096,49931,50768,51666,52576,53427,54343,55328,56307,57283,58361,59431,60511,61580,62666,63799,64952,66079,67171,68385,69525,70691,71842,72976,74173,75432,76661,77875,79091,80394,81629,82954,84176,85538,86889,88260,89687,91083,92607,94109,95664,97243,98897,100537,102197,104014,105775,107536,109340,111264,113187,115091,117083,119202,121313,123457,125632,127891,130153,132466,134820,137242,139682,142195,144746,147321,149994,152789,155518,158341,161152,164028,167075,170144,173236,176405,179676,183030,186509,189872,193417,196971,200812,204744,208633,212649,216739,220915,225174,229484,233889,238427,242995,247568,252173,256880,261605,266389,271143,275997,280894,285950,291034,296131,301466,306820,312259,317907,323412,329055,334804,340600,346358,352235,358335,364495,370599,376913,383190,389642,396348,403016,409685,416590,423505,430698,438147,445425,452854,460451,468133
1,1,1,1,1,1,3,6,6,6,7,7,8,9,9,9,9,9,9,10,11,13,15,18,18,19,20,21,24,28,36,39,42,46,51,52,54,59,64,69,72,76,82,89,95,97,110,116,127,135,147,152,161,167,177,183,187,200,205,217,223,230,239,250,256,265,271,277,282,292,300,308,313,319,324,328,341,345,350,353,360,369,377,383,388,394,398,402,411,417,419,425,430,434,441,453,459,467,476,484,492,504,511,521,527,533,545,554,563,572,587,609,636,653,669,692,709,731,761,805,837,864,894,930,954,981,1012,1057,1086,1116,1149,1192,1229,1270,1318,1364,1400,1435,1466,1510,1553,1607,1665,1719,1765,1804,1847,1887,1934,1978,2014,2066,2111,2167,2212,2260,2288,2324,2345,2392,2437,2478,2523,2569,2605,2648,2690,2738,2794,2831,2877,2921,2968,3037,3092,3156,3212,3298,3378,3484,3588,3723,3832,3957,4097,4227,4398,4547,4683,4851,5035,5210,5370,5548,5720,5893,6049,6184,6362,6528,6668,6826,6992,7158,7306,7461,7617,7781,7963,8140,8304,8462,8628,8792,8939,9124,9303,9505,9688,9868,10032,10246,10392,10590,10758,10929,11130,11342,11557,11749,11953,12177,12380,12573,12764,12947,13122,13306,13512,13691,13858,14057,14270,14480,14647,14852,15068,15299,15556,15819,16063,16317,16588,16873,17170,17491,17777,18106,18437,18753,19097,19443,19832,20272,20722,21241,21757,22309,22901,23461,24032,24671,25260,25881,26486,27147,27725,28384,29027,29674,30347,31020,31731,32403,33113,33869,34622,35428,36306,37211,38076,39063,40052,41042,42118,43195,44301,45442,46574,47829,49090,50290,51495,52723,53967,55234,56460,57705,58947,60188,61392,62588,63803,65005,66247,67434,68633,69904,71124,72357,73592,74846,76073,77396,78733,80057,81420,82781,84216,85674,87083,88572,90034,91566,93142,94612,96246,97819,99365,100991,102557,104224,105901,107723,109490,111236,113149,115003,117023,119006,120975,122988,124955,126993,129061,131178,133315,135523,137673,139915,142103,144349,146733,149036,151332,153671,156052,158509,160975,163471,165961,168518,171054,173630,176213,178955,181826,184589,187389,190290,193246,196241,199170,202209,205354,208597,211932,215172,218525,221942,225596,229080,232737,236434,240109,243935,247709,251603,255560,259565,263659,267732,271845,276131,280502,285096,289745,294382,299228,304101,309176,314331,319446,324758,329876,335230,340659,346228,351832,357616,363585,369488,375532,381579,387858,394035,400265,406672,413241,419870,426503,433292,440151,447058,454093,461153,468314,475819,483278,490857,498240,505869,513719,521804,529902,538039,546214,554742,563469,572126,580954,589758,598883,607856,617158,626360,636003,645563,655224,665209,675174,684961,695187,705369,715850,726391,737021,747776,758720,769972,781344,792754,804279,816037,827747,839512,851443,863481,875709,887970,900239,912570,925155,937965,950894,963822,976871,990106,1003352,1016837,1030238,1044059,1057677,1071506,1085716,1100026,1114313
1,1,1,1,1,1,1,4,7,11,12,14,17,17,19,22,23,23,23,23,24,28,29,31,33,35,38,41,44,51,54,61,68,74,78,85,89,92,97,104,113,119,125,130,146,157,164,177,190,198,217,233,241,251,258,268,273,285,292,315,334,345,366,380,405,427,448,463,488,507,528,549,566,586,600,610,633,646,662,686,697,719,742,756,768,787,802,818,831,842,852,867,885,897,906,910,923,933,943,955,959,970,978,986,993,1003,1015,1023,1035,1047,1057,1064,1072,1077,1087,1101,1111,1119,1129,1143,1150,1159,1183,1192,1207,1217,1234,1258,1277,1291,1305,1320,1339,1359,1381,1393,1423,1453,1476,1495,1514,1533,1545,1569,1586,1611,1631,1656,1679,1707,1738,1763,1789,1815,1843,1870,1901,1938,1974,2003,2032,2060,2089,2120,2153,2182,2213,2246,2271,2297,2326,2350,2383,2412,2444,2475,2505,2524,2545,2582,2603,2627,2651,2685,2705,2727,2759,2782,2800,2823,2865,2889,2912,2949,2987,3020,3045,3083,3126,3155,3194,3248,3293,3347,3389,3457,3515,3577,3633,3678,3725,3767,3829,3881,3962,4023,4105,4178,4252,4324,4395,4476,4553,4629,4718,4809,4896,4988,5095,5195,5282,5386,5472,5545,5655,5762,5849,5953,6039,6130,6228,6335,6440,6547,6656,6765,6870,6997,7115,7233,7356,7469,7574,7694,7832,7987,8105,8271,8460,8607,8753,8930,9121,9279,9468,9666,9851,10041,10226,10439,10660,10836,11056,11290,11519,11754,11970,12221,12469,12695,12938,13199,13451,13706,13948,14226,14492,14786,15056,15301,15582,15890,16182,16471,16803,17105,17423,17741,18049,18380,18719,19070,19424,19748,20111,20448,20816,21188,21548,21882,22246,22619,23017,23420,23839,24238,24658,25101,25513,25933,26360,26798,27230,27653,28110,28574,29043,29495,29993,30455,30973,31465,31934,32373,32810,33287,33775,34280,34817,35329,35910,36479,37010,37552,38119,38698,39293,39891,40526,41100,41729,42340,42931,43542,44170,44854,45506,46153,46823,47512,48225,48934,49623,50377,51131,51916,52678,53465,54245,55059,55910,56855,57761,58756,59746,60770,61858,62953,64063,65213,66388,67578,68838,70094,71364,72691,74066,75468,76802,78264,79767,81317,82828,84350,85952,87657,89288,90931,92592,94248,95964,97733,99523,101410,103236,105073,106856,108735,110601,112487,114413,116356,118258,120248,122248,124258,126306,128345,130522,132558,134713,136889,139089,141326,143577,145790,148189,150545,152953,155415,157950,160538,163179,165825,168483,171136,173942,176708,179439,182244,184995,187949,191017,193891,196840,199730,202679,205692,208780,211814,214893,218074,221298,224538,227909,231266,234632,238053,241588,245003,248580,252245,255937,259595,263408,267179,270951,274824,278836,282912,287014,291192,295443,299688,303889,308228,312668,317057,321631,326275,331011,335727,340596,345574,350647,355639,360643,365948,371178,376590,382163,387773,393401,399093,404844,410635,416632
1,1,1,1,1,1,1,2,4,6,6,8,8,10,11,14,14,16,16,22,25,26,31,33,38,44,50,54,59,62,65,71,74,77,80,86,87,91,97,101,106,108,108,110,113,116,120,123,126,132,133,140,144,151,159,165,168,169,172,173,175,180,187,192,195,201,205,214,223,229,237,239,250,255,271,281,288,298,307,318,328,342,355,366,376,381,392,402,408,419,430,441,451,470,482,495,510,523,537,555,572,593,614,638,656,677,696,726,753,775,802,822,860,886,910,929,955,998,1026,1058,1086,1111,1150,1176,1206,1236,1271,1299,1337,1371,1395,1425,1452,1486,1522,1555,1594,1632,1663,1701,1732,1769,1810,1853,1907,1973,2020,2062,2126,2181,2227,2284,2353,2425,2498,2582,2666,2761,2843,2946,3018,3101,3191,3283,3355,3445,3544,3637,3739,3833,3939,4033,4135,4232,4326,4416,4520,4621,4713,4814,4916,5033,5133,5247,5376,5479,5592,5740,5874,6016,6142,6290,6418,6580,6738,6897,7054,7211,7389,7588,7757,7946,8128,8335,8520,8729,8974,9192,9437,9711,9974,10207,10477,10721,10983,11252,11493,11744,12029,12339,12644,12919,13249,13560,13875,14229,14575,14958,15306,15706,16081,16456,16889,17261,17684,18068,18484,18926,19346,19763,20226,20694,21160,21664,22172,22651,23159,23689,24245,24765,25333,25912,26480,27049,27680,28260,28882,29529,30193,30849,31485,32155,32812,33461,34201,34937,35705,36429,37177,37919,38717,39506,40244,41042,41852,42655,43447,44259,45049,45934,46787,47707,48573,49421,50286,51144,52051,52951,53886,54794,55792,56798,57762,58742,59821,60870,61916,62971,64014,65174,66291,67395,68551,69733,70899,72092,73342,74560,75753,77016,78341,79630,80891,82244,83561,84895,86272,87654,89048,90418,91855,93329,94866,96330,97815,99358,100945,102513,104173,105811,107564,109273,111044,112794,114576,116345,118224,120151,122050,124060,126120,128244,130399,132508,134603,136713,139071,141435,143814,146176,148726,151181,153695,156227,158776,161365,163996,166724,169409,172305,175192,178026,180936,183795,186890,189999,193151,196434,199849,203227,206696,210213,213889,217620,221259,224966,228799,232725,236851,240909,245111,249305,253623,258036,262384,266792,271400,275937,280656,285356,290111,294991,299996,305032,310079,315275,320681,326083,331609,337151,342958,348739,354607,360674,366739,372926,379191,385507,391901,398513,405174,411693,418543,425361,432338,439330,446422,453488,460743,468094,475479,482860,490307,498106,505863,513859,521883,530028,538182,546563,555230,563860,572657,581617,590678,599905,609270,618854,628516,638328,648388,658543,668813,679352,690172,700892,711906,723159,734427,745843,757412,769427,781632,793946,806255,818854,831842,844672,857622,870781,883917,897460,910971,924416,938438,952436,966381,980595,995009,1009613,1024014,1038703,1053609,1068533,1083792,1098973,1114525,1130182,1145909,1161611,1177809,1194190,1210717,1227395,1243948,1261062,1278306,1295586,1313213,1330879,1348703,1366365,1384202,1402384,1421041,1439514,1458272
1,1,1,1,1,2,4,7,8,8,8,10,11,12,15,16,18,20,20,22,22,22,25,27,29,30,30,31,32,34,35,36,37,38,39,41,45,45,47,53,54,55,56,61,66,73,77,83,85,87,95,101,104,109,115,120,124,129,136,138,141,144,150,153,155,160,166,170,174,177,183,188,193,196,200,207,214,219,224,233,237,242,247,253,256,264,268,270,274,279,286,297,304,312,324,330,341,348,358,368,376,387,389,399,409,418,424,429,439,448,455,467,478,490,497,508,518,526,532,541,547,557,567,575,588,600,614,630,646,667,683,702,712,720,735,759,786,807,833,850,880,895,914,929,947,972,997,1014,1032,1054,1074,1108,1142,1171,1200,1249,1307,1365,1433,1545,1646,1754,1854,1969,2108,2227,2345,2466,2576,2669,2787,2904,3010,3107,3217,3340,3450,3534,3657,3785,3904,4033,4168,4327,4515,4694,4865,5046,5213,5382,5557,5742,5943,6091,6257,6430,6589,6741,6934,7125,7323,7509,7688,7899,8093,8310,8545,8759,8974,9168,9370,9556,9740,9908,10082,10260,10425,10606,10789,10957,11128,11306,11461,11626,11777,11940,12110,12258,12407,12585,12760,12899,13067,13212,13357,13538,13715,13883,14031,14206,14398,14568,14722,14913,15091,15269,15491,15712,15921,16143,16336,16543,16791,17037,17289,17541,17782,18043,18259,18491,18758,19041,19300,19549,19817,20086,20386,20695,21026,21351,21711,22037,22407,22741,23109,23498,23875,24258,24672,25083,25577,26062,26539,27025,27515,28054,28576,29148,29696,30257,30801,31419,32027,32625,33248,33919,34619,35285,35991,36668,37462,38231,39073,39976,40834,41675,42520,43452,44467,45502,46470,47489,48522,49547,50632,51704,52849,54029,55231,56462,57653,58938,60224,61512,62817,64126,65437,66802,68106,69530,70953,72329,73807,75305,76885,78381,79939,81523,83200,84866,86585,88391,90183,91955,93746,95605,97486,99416,101237,103223,105303,107243,109243,111328,113354,115441,117602,119790,122074,124305,126580,129003,131280,133668,136115,138530,141083,143777,146452,149118,151819,154636,157503,160306,163222,166128,169171,172293,175274,178313,181422,184526,187824,191177,194559,197942,201416,205010,208799,212542,216423,220289,224286,228434,232587,236773,241062,245558,250100,254739,259477,264299,269267,274299,279400,284591,289905,295156,300588,306297,311892,317654,323311,329285,335133,341184,347211,353308,359611,365962,372515,379079,385770,392543,399589,406680,413826,421031,428387,435813,443286,450902,458673,466719,474816,483052,491361,499740,508240,516870,525490,534257,543389,552503,561740,570989,580367,590070,599817,609673,619576,629857,640165,651051,661802,672894,683890,695270,706873,718472,730266,741957,754043,766322,778711,791413,804030,816906,829944,843034,856277,869734,883061,896668,910300,924237,938374,952759,966845,981208,995876,1010444,1025109,1039753,1054648,1069537,1084893,1099994,1115647,1131258,1147001,1162908,1179003,1195135,1211732,1228546,1245076
1,1,1,1,2,2,4,5,6,6,6,10,14,14,14,15,17,24,27,27,28,30,33,34,46,49,53,56,62,66,70,73,78,84,88,95,102,103,109,112,117,122,126,132,140,142,144,148,152,154,156,162,171,176,177,180,183,185,190,192,197,199,202,202,205,209,212,214,215,216,220,222,227,229,233,238,241,243,247,254,255,261,264,268,274,277,281,285,293,296,304,308,313,317,322,324,331,335,340,343,350,354,363,373,379,385,397,402,409,421,426,432,437,442,444,449,457,465,479,484,490,502,514,529,545,572,587,611,629,647,668,686,706,737,759,789,815,830,860,890,924,968,1005,1049,1090,1129,1170,1212,1259,1302,1344,1386,1424,1464,1495,1547,1590,1638,1669,1715,1752,1783,1823,1861,1903,1952,1996,2041,2098,2164,2217,2283,2339,2392,2459,2508,2555,2625,2706,2756,2809,2872,2936,3000,3077,3144,3209,3277,3348,3419,3486,3572,3671,3740,3816,3900,3977,4075,4155,4237,4327,4421,4524,4628,4707,4822,4955,5052,5175,5308,5446,5595,5699,5799,5951,6094,6248,6384,6560,6716,6899,7083,7302,7488,7680,7881,8095,8330,8557,8821,9115,9425,9721,10005,10283,10590,10892,11184,11504,11836,12181,12574,12924,13314,13719,14105,14489,14855,15226,15604,16010,16397,16812,17261,17649,18086,18471,18840,19261,19685,20111,20526,20934,21334,21761,22189,22657,23172,23688,24187,24687,25183,25681,26185,26707,27191,27734,28262,28812,29386,29981,30566,31135,31723,32326,32923,33548,34216,34897,35561,36190,36834,37511,38208,38925,39622,40288,40970,41676,42411,43127,43864,44557,45352,46118,46889,47731,48563,49421,50277,51199,52102,53043,54009,55026,56011,57128,58263,59403,60566,61664,62906,64037,65240,66563,67875,69210,70591,71973,73351,74796,76195,77713,79181,80747,82208,83714,85244,86804,88328,89862,91412,93045,94694,96281,97999,99718,101408,103215,104971,106760,108642,110468,112357,114165,116043,118010,119965,121959,123952,126054,128091,130152,132370,134519,136743,138932,141185,143489,145747,147991,150248,152560,155011,157351,159801,162157,164624,167055,169576,172169,174833,177480,180228,182860,185696,188505,191483,194385,197416,200458,203648,206920,210228,213508,216832,220375,223996,227677,231441,235273,238968,242866,246807,250784,254811,258772,262879,267173,271469,275803,280391,285014,289606,294429,299390,304375,309366,314583,319882,325186,330628,336182,341723,347485,353217,359031,364965,370969,377065,383238,389464,395651,401994,408500,414962,421666,428599,435552,442708,450092,457638,465192,473051,480940,489003,497333,505594,514140,522658,531326,540242,549331,558542,567637,576992,586375,596089,605713,615603,625488,635428,645702,656202,666614,677110,687746,698501,709593,720677,731874,743226,754726,766285,777879,789677,801862,814081,826428,838852,851377,864124,876951,890006,903395,916893,930318,943923,957897,971899,986089,1000446,1014909,1029723,1044618,1059705,1074989
1,1,1,1,2,3,6,7,9,11,15,16,19,22,26,32,33,38,42,45,47,50,52,56,58,63,63,66,72,73,76,78,83,86,88,89,91,93,94,97,100,104,108,110,110,113,115,119,123,130,135,141,145,146,149,155,162,167,173,179,183,189,194,201,205,209,213,218,226,231,236,242,249,254,256,264,277,282,291,302,312,319,323,334,341,344,353,360,369,379,385,392,394,399,403,413,424,437,440,444,448,454,463,469,474,476,482,484,485,491,494,501,503,504,510,516,517,521,529,534,539,545,549,551,552,554,554,555,557,558,559,560,566,567,568,569,570,572,573,575,577,577,580,582,582,584,588,592,595,597,599,600,601,606,611,617,622,631,633,636,644,648,651,656,656,663,672,678,686,690,699,704,709,713,715,724,731,739,745,747,753,754,756,767,770,775,781,783,787,792,793,795,796,797,798,798,802,807,810,812,813,813,814,814,815,818,818,818,818,819,823,823,825,828,829,829,829,830,831,831,832,832,832,834,837,840,842,843,844,846,847,847,847,848,850,854,855,857,859,859,860,864,865,866,868,868,868,869,870,872,872,872,874,877,881,885,890,891,893,894,894,901,902,907,913,916,916,925,933,940,944,954,962,967,969,972,978,982,986,990,991,995,1000,1003,1008,1010,1013,1017,1023,1026,1030,1033,1035,1042,1047,1054,1064,1072,1085,1091,1105,1113,1125,1127,1142,1159,1173,1173,1186,1202,1213,1228,1238,1259,1283,1305,1332,1349,1377,1393,1417,1443,1467,1487,1504,1533,1555,1590,1611,1644,1671,1696,1721,1754,1782,1804,1831,1859,1895,1921,1951,1976,2000,2026,2047,2065,2099,2129,2155,2170,2193,2213,2237,2260,2284,2306,2327,2352,2378,2413,2437,2470,2497,2525,2553,2579,2611,2651,2692,2726,2761,2796,2829,2868,2906,2935,2973,3009,3041,3070,3096,3135,3169,3200,3241,3280,3324,3366,3406,3452,3501,3542,3572,3615,3651,3698,3738,3781,3832,3880,3924,3986,4033,4095,4142,4183,4230,4273,4333,4392,4448,4505,4557,4605,4651,4697,4735,4785,4836,4892,4956,5004,5059,5101,5155,5217,5278,5351,5399,5454,5522,5587,5649,5717,5793,5871,5954,6047,6117,6191,6261,6335,6422,6524,6608,6703,6788,6886,6960,7039,7132,7232,7331,7441,7529,7638,7739,7885,8012,8129,8272,8404,8521,8669,8817,8963,9116,9279,9419,9552,9693,9851,10019,10188,10364,10525,10674,10861,11053,11239,11447,11662,11834,12013,12213,12430,12638,12847,13012,13180,13395,13606,13812,14054,14313,14558,14812
1,1,1,1,1,1,1,1,2,3,3,4,4,7,8,9,9,10,14,16,18,20,21,29,32,34,35,40,41,41,42,44,46,47,47,47,47,50,51,52,54,58,61,66,69,72,74,79,81,87,89,91,102,108,113,119,126,129,137,145,147,160,166,174,183,188,201,209,219,233,245,258,272,293,320,349,372,396,425,454,489,515,554,591,631,668,699,749,789,839,876,929,973,1022,1066,1128,1185,1244,1313,1398,1474,1567,1661,1761,1857,1950,2047,2134,2238,2340,2445,2549,2645,2748,2854,2956,3061,3188,3332,3453,3573,3691,3815,3960,4107,4233,4403,4581,4746,4929,5111,5327,5538,5762,6004,6217,6487,6739,7050,7318,7601,7888,8155,8447,8745,9059,9384,9705,10005,10339,10692,11028,11375,11711,12105,12496,12886,13297,13674,14123,14591,15066,15545,16069,16585,17140,17703,18267,18836,19433,20005,20580,21239,21869,22533,23236,23921,24619,25278,25991,26655,27353,28080,28833,29526,30281,31016,31767,32542,33309,34103,34898,35677,36509,37390,38244,39053,39933,40777,41639,42460,43339,44261,45177,46139,47178,48142,49167,50214,51376,52454,53655,54906,56168,57444,58811,60308,61825,63267,64736,66345,67919,69551,71211,72981,74735,76582,78412,80299,82119,83955,85850,87877,89839,91857,93859,95886,97975,100108,102347,104669,107043,109370,111768,114283,116916,119610,122229,124835,127565,130331,133234,136223,139053,142033,145070,148119,151176,154279,157451,160601,163827,167047,170291,173595,176938,180261,183664,187054,190375,193760,197211,200754,204303,207904,211599,215364,219209,223125,226994,230950,235109,239303,243567,247879,252168,256456,260947,265500,270158,274706,279371,284184,288949,293792,298851,303949,309081,314375,319850,325289,330822,336588,342329,348019,353930,359846,365937,372050,378236,384617,391095,397650,404282,411158,418124,425257,432427,439597,447203,454835,462566,470599,478569,486592,494697,503003,511277,519963,528553,537245,546183,555255,564439,573739,583290,592793,602554,612320,622221,632021,642099,652146,662337,672747,683390,693871,704666,715462,726272,737260,748334,759537,771123,782590,794067,805589,817265,829058,841152,853471,865783,878001,890452,903067,915768,928494,941265,954212,967273,980301,993615,1006961,1020417,1034241,1047955,1061822,1075526,1089561,1103718,1117855,1132386,1146832,1161457,1176108,1191060,1206068,1221005,1236280,1251773,1267346,1283204,1299158,1315179,1331415,1347790,1364308,1380947,1397798,1415066,1432309,1449637,1467053,1484749,1502564,1520457,1538586,1556751,1575069,1593612,1612404,1631418,1650520,1669723,1689243,1708749,1728583,1748517,1768537,1788553,1808769,1829615,1850304,1870952,1891855,1912811,1933836,1955282,1976642,1998269,2020013,2041746,2063865,2086124,2108632,2131365,2154036,2176629,2199728,2222420,2245537,2268727,2292019,2315698,2339262,2363092,2386900,2410652,2434436,2458180,2482438,2506489,2530486,2554707,2578986,2603236,2627684,2652265,2676738,2701294,2725972,2750404,2775034,2800068,2824833,2849621,2874681,2899944,2925236,2950487,2975931,3001656,3027668,3053344,3079170,3104928,3130996,3156905,3183087,3209328,3235598,3262186,3288742,3315527,3342300,3368930,3395657,3422661,3449501,3476905,3503819,3531254,3558873,3586141,3613827,3641155,3668811
1,1,1,1,1,2,3,5,6,7,9,10,12,13,13,13,13,16,20,21,21,21,23,29,35,38,41,43,49,50,55,60,65,70,72,77,82,86,90,95,101,108,113,114,118,123,127,128,135,144,152,157,165,175,177,181,185,188,191,196,200,205,210,218,226,233,239,245,248,250,252,258,264,268,275,279,285,295,302,310,313,317,324,327,333,340,347,354,356,365,376,390,392,398,402,416,424,436,451,463,478,488,499,505,511,518,530,542,553,566,577,587,601,613,628,641,658,679,697,706,717,736,760,775,791,810,830,850,871,891,905,919,940,962,985,999,1019,1042,1059,1088,1114,1139,1165,1192,1226,1255,1284,1312,1335,1366,1392,1416,1452,1477,1498,1525,1544,1568,1594,1619,1649,1682,1701,1733,1763,1787,1821,1846,1884,1917,1948,1979,2023,2052,2081,2115,2148,2197,2234,2271,2318,2370,2420,2475,2526,2579,2632,2688,2752,2807,2861,2911,2979,3062,3134,3207,3264,3333,3402,3487,3561,3643,3709,3784,3870,3957,4041,4132,4226,4320,4435,4543,4661,4763,4885,5030,5156,5307,5429,5594,5742,5897,6062,6259,6459,6683,6895,7106,7366,7619,7877,8118,8350,8636,8929,9181,9444,9712,10010,10282,10556,10856,11114,11402,11695,11964,12263,12584,12908,13241,13570,13884,14207,14547,14920,15288,15677,16049,16455,16850,17268,17670,18103,18550,18998,19462,19932,20378,20890,21396,21889,22419,22930,23485,24081,24642,25234,25813,26443,27071,27730,28417,29120,29850,30544,31348,32090,32866,33636,34413,35212,36106,37005,37887,38792,39761,40733,41732,42780,43822,44910,46024,47185,48403,49663,50890,52182,53473,54771,56129,57440,58803,60159,61587,62932,64458,65888,67375,68898,70421,72136,73716,75357,76928,78756,80552,82395,84176,86138,88108,90230,92388,94533,96746,98958,101346,103750,106167,108724,111331,113858,116572,119310,122105,124892,127714,130578,133612,136637,139672,142796,145973,149404,152793,156318,159845,163396,167156,170905,174753,178664,182584,186698,190844,195051,199223,203533,207817,212339,216886,221378,226004,230682,235401,240496,245641,250632,255749,260902,266165,271314,276574,281927,287349,292604,297923,303399,308909,314633,320124,325787,331408,337203,342922,348713,354532,360488,366584,372562,378599,384726,391018,397459,403914,410342,416999,423621,430270,437017,444023,451020,458125,465538,472856,480359,488045,495795,503632,511657,519774,527970,536294,544885,553478,562415,571309,580484,589588,599180,608816,618533,628468,638450,648714,659001,669569,680114,690761,701803,712873,724038,735335,746387,757809,769353,781008,792858,804968,816914,829123,841465,853814,866521,879308,892119,905431,918773,932339,945931,959985,973975,988122,1002678,1017164,1031831,1046687,1061902,1077314,1093031,1108647,1124459,1140829,1156935,1173187,1189643,1206225,1223102,1239644,1256632,1273696,1290669,1307988,1325580,1343427,1361269,1379713,1397907,1416169,1434972,1453895,1472951,1491892,1511216,1530584,1550199,1569970,1590083
1,1,1,1,1,1,1,2,2,5,6,6,8,8,11,11,11,14,15,16,16,17,17,19,19,24,24,25,26,26,28,30,30,33,36,38,42,46,48,54,58,59,61,63,64,65,65,69,77,79,82,87,93,98,103,106,107,113,118,120,125,129,130,134,138,139,144,148,152,154,156,159,163,168,172,176,178,180,182,185,186,188,189,190,193,193,194,195,196,196,198,201,206,209,210,212,213,215,217,218,221,222,227,229,229,238,244,246,251,251,255,257,258,262,265,267,271,274,275,275,277,281,287,293,297,301,305,315,324,333,337,349,355,361,369,376,390,401,416,426,435,442,449,469,481,495,520,542,553,567,585,606,622,640,662,692,719,746,769,798,820,845,868,895,920,935,960,985,1005,1033,1051,1074,1094,1112,1132,1156,1169,1191,1199,1232,1252,1271,1292,1312,1326,1338,1353,1383,1404,1424,1440,1471,1503,1531,1549,1566,1587,1612,1636,1654,1676,1701,1720,1746,1767,1789,1811,1830,1850,1869,1887,1908,1924,1945,1969,1995,2018,2048,2068,2091,2127,2154,2183,2209,2229,2251,2282,2309,2356,2390,2452,2504,2552,2593,2642,2706,2771,2837,2899,2996,3086,3161,3256,3366,3473,3578,3686,3791,3906,4037,4161,4301,4424,4555,4704,4844,4970,5095,5226,5345,5455,5587,5695,5811,5927,6037,6149,6266,6400,6525,6661,6774,6902,7046,7197,7354,7506,7664,7816,7975,8140,8302,8473,8658,8845,9041,9258,9495,9704,9962,10203,10432,10701,10947,11222,11497,11767,12055,12342,12632,12913,13214,13509,13798,14131,14436,14778,15133,15498,15881,16283,16721,17145,17573,17981,18496,18949,19402,19915,20409,20962,21521,22087,22648,23208,23805,24405,25036,25677,26324,27011,27698,28438,29190,29957,30814,31632,32428,33258,34143,35051,35974,36900,37841,38786,39768,40758,41753,42758,43689,44693,45665,46702,47838,49018,50160,51398,52636,53979,55356,56665,57996,59391,60730,62094,63532,64907,66385,67933,69376,70862,72428,73951,75496,77067,78663,80347,82046,83684,85399,87245,89078,91016,92884,94758,96729,98875,101029,103232,105456,107881,110256,112724,115103,117559,120082,122677,125274,127961,130632,133378,136171,138940,141791,144579,147404,150302,153338,156345,159290,162424,165630,168844,172069,175449,178826,182322,185744,189316,192937,196725,200585,204473,208400,212406,216603,220740,225127,229405,233820,238278,242756,247296,251979,256749,261566,266455,271448,276652,281911,287179,292555,298117,303696,309248,315038,320893,326745,332622,338581,344561,350635,356693,362862,369241,375707,382163,388665,395338,402180,408985,415879,422861,429896,437148,444451,451814,459354,467045,474798,482664,490440,498546,506715,515079,523581,531875,540469,548988,557715,566573,575581,584648,593988,603219,612581,621988,631684,641247,651083,661004,670860,681077,691281,701555,712155,722678
1,1,1,2,3,3,3,5,7,7,9,10,10,14,15,17,18,22,28,32,36,38,47,48,52,61,62,68,71,73,76,78,82,85,88,93,93,100,103,108,113,119,121,128,135,139,143,143,148,152,156,163,166,170,178,184,189,193,198,202,211,217,223,223,225,228,235,240,244,252,259,264,267,275,283,288,297,307,310,315,317,321,329,332,338,346,347,355,360,368,377,381,383,388,395,398,403,404,411,419,423,432,448,456,464,475,480,486,493,500,506,520,526,530,538,548,561,571,578,589,597,606,619,630,639,651,662,676,695,706,729,746,765,779,801,814,824,840,855,869,890,917,926,951,969,987,1009,1029,1047,1064,1083,1093,1105,1113,1133,1153,1166,1173,1185,1202,1216,1226,1237,1251,1266,1274,1291,1305,1330,1348,1362,1379,1389,1403,1425,1438,1457,1476,1497,1514,1533,1548,1574,1586,1596,1620,1636,1654,1668,1683,1697,1718,1739,1756,1770,1786,1806,1819,1838,1849,1864,1879,1893,1912,1923,1939,1955,1961,1973,1984,1992,2005,2018,2034,2047,2061,2067,2081,2094,2106,2115,2122,2132,2138,2144,2150,2159,2164,2175,2182,2192,2204,2213,2221,2230,2239,2250,2266,2280,2296,2305,2315,2323,2331,2340,2350,2363,2369,2381,2404,2420,2436,2452,2471,2488,2504,2522,2541,2555,2569,2587,2613,2638,2664,2692,2707,2735,2759,2789,2820,2843,2856,2877,2905,2934,2956,2997,3025,3056,3091,3120,3156,3189,3236,3284,3321,3359,3402,3437,3476,3519,3574,3628,3668,3704,3759,3804,3850,3912,3949,4000,4053,4097,4152,4204,4245,4299,4349,4417,4465,4513,4561,4622,4686,4737,4800,4863,4923,4993,5041,5099,5167,5229,5306,5381,5446,5505,5574,5645,5709,5765,5836,5898,5968,6016,6081,6148,6211,6268,6339,6403,6450,6531,6588,6647,6693,6754,6810,6865,6941,6992,7046,7103,7180,7238,7316,7397,7470,7535,7618,7682,7761,7850,7926,8008,8111,8209,8292,8362,8445,8540,8632,8731,8836,8937,9033,9125,9229,9340,9461,9559,9676,9765,9869,9967,10073,10175,10276,10388,10532,10641,10776,10887,11003,11117,11250,11370,11533,11651,11787,11925,12053,12172,12347,12486,12656,12847,13051,13248,13463,13665,13857,14059,14275,14481,14707,14942,15191,15483,15758,16047,16339,16643,16953,17286,17606,17932,18292,18646,19019,19379,19711,20072,20415,20795,21134,21454,21861,22232,22604,23015,23375,23772,24144,24463,24846,25231,25566,25939,26308,26711,27134,27567,27987,28393,28863,29346,29783,30261,30791,31330,31885,32441,33059,33637,34286,34905,35531,36155,36801,37457,38079,38721,39434,40120,40871,41586,42317,43101,43922,44647,45413,46227,47037,47871,48712,49518,50348,51179,52034,52910,53794,54673,55542,56492,57416,58376
1,1,1,1,1,3,3,6,6,6,6,6,7,7,8,12,13,13,13,13,13,13,16,20,22,23,24,25,26,29,31,31,31,32,34,35,36,39,42,44,48,53,56,61,64,67,73,76,81,84,86,90,93,97,100,104,107,110,117,120,123,126,131,137,144,151,158,163,168,174,178,186,189,198,202,205,213,220,229,241,247,254,261,274,278,284,286,291,297,304,314,321,326,330,333,341,348,354,360,367,378,387,395,403,409,417,424,431,442,455,463,473,490,499,506,517,532,548,555,565,575,582,597,611,622,629,643,654,662,680,697,715,735,749,773,786,807,829,853,876,892,923,941,962,981,1007,1036,1065,1091,1119,1144,1179,1222,1255,1283,1317,1354,1387,1428,1463,1511,1561,1615,1668,1715,1766,1817,1871,1917,1965,2019,2074,2138,2194,2278,2339,2402,2468,2536,2606,2694,2786,2865,2947,3044,3123,3194,3275,3357,3453,3561,3668,3778,3922,4060,4204,4332,4463,4614,4755,4897,5058,5220,5381,5543,5712,5889,6077,6265,6472,6662,6858,7066,7262,7455,7655,7857,8069,8281,8507,8727,8973,9206,9497,9776,10066,10393,10728,11067,11423,11814,12198,12567,12971,13365,13771,14179,14644,15075,15508,15974,16412,16855,17296,17786,18306,18807,19312,19838,20417,21028,21623,22247,22933,23614,24259,24982,25692,26416,27125,27864,28647,29404,30183,31009,31828,32699,33588,34432,35367,36306,37272,38220,39225,40191,41303,42321,43463,44575,45678,46928,48148,49459,50728,52045,53372,54737,56117,57469,58815,60275,61704,63178,64677,66190,67761,69265,70783,72437,74139,75777,77595,79354,81099,82971,84814,86713,88615,90522,92533,94549,96559,98718,100894,103095,105351,107603,109924,112206,114565,116932,119271,121706,124147,126694,129337,131921,134411,137067,139695,142433,145186,148113,151096,154136,157298,160454,163637,166957,170350,173714,177257,180854,184613,188372,192225,196116,200156,204246,208282,212373,216623,220841,225099,229402,233819,238234,242651,247252,251808,256513,261295,266149,271018,275957,281136,286313,291559,296962,302304,307812,313447,319081,324776,330529,336530,342427,348561,354698,360871,367099,373304,379712,386180,392911,399500,406131,413016,419988,427013,434378,441730,449133,456541,463885,471477,479012,486757,494391,502319,510248,518281,526525,534904,543226,551777,560349,569172,578099,587048,596117,605193,614490,623800,633142,642849,652337,661987,671639,681713,691732,702062,712419,722886,733531,744406,755410,766598,777888,789446,800976,812728,824893,837007,849153,861310,873623,886051,898895,911818,924961,938320,951784,965500,979005,992784,1006708,1020732,1035170,1049834,1064635,1079766,1094702,1109450,1124951,1140667,1156521,1172300,1188313,1204601,1221138,1237817,1254416,1271292,1288355,1305678,1323270,1340739,1358544,1376520,1394581,1412847,1431128,1449520,1468078,1486348,1505191,1523680,1542307,1561274,1580196,1599026,1618281,1637699,1656945,1676334,1696036,1715607,1735355,1755394,1775502,1795718,1815911,1836252,1856759,1877491,1898732
1,1,1,3,4,4,5,5,6,6,7,7,7,9,11,15,20,20,21,23,25,31,35,36,42,46,52,56,61,69,71,75,78,84,89,94,104,107,112,118,120,123,127,130,133,135,137,141,145,154,162,163,166,166,167,171,175,177,181,182,184,185,189,193,200,202,205,215,225,240,256,268,289,305,329,349,364,383,409,432,450,471,495,520,543,570,598,618,645,670,701,731,769,812,843,883,929,963,1014,1057,1104,1152,1206,1259,1317,1395,1466,1536,1621,1722,1824,1907,1995,2102,2194,2310,2408,2515,2618,2717,2834,2938,3040,3143,3246,3339,3454,3576,3703,3828,3956,4083,4223,4361,4504,4651,4800,4946,5100,5276,5449,5627,5822,6024,6234,6449,6666,6892,7088,7306,7543,7749,8004,8207,8419,8655,8897,9147,9375,9649,9893,10134,10388,10649,10914,11177,11467,11697,11973,12266,12555,12825,13112,13412,13750,14042,14353,14668,15004,15349,15683,16016,16376,16821,17220,17598,17972,18380,18779,19194,19662,20125,20615,21176,21735,22324,22927,23543,24141,24809,25517,26252,27043,27811,28582,29360,30176,31012,31941,32870,33789,34763,35819,36962,38042,39129,40288,41469,42682,43901,45111,46342,47614,48813,50066,51377,52695,54028,55379,56726,58112,59498,60869,62275,63687,65141,66605,68128,69623,71273,72792,74484,76175,77743,79399,81151,82921,84622,86368,88207,89981,91831,93659,95436,97358,99198,101126,103049,104972,106919,108958,110916,112943,114966,116979,119104,121177,123364,125566,127796,129989,132276,134711,137135,139528,142094,144673,147337,150017,152752,155602,158338,161238,164258,167343,170409,173492,176735,180009,183358,186785,190289,193949,197578,201174,204960,208901,212964,217024,221116,225302,229529,233694,238087,242504,247000,251391,256033,260838,265543,270403,275224,280233,285182,290390,295575,300766,306055,311613,317248,322878,328604,334463,340394,346379,352349,358648,364954,371581,378274,384963,391754,398791,405812,412962,420315,427801,435432,442995,450758,458544,466532,474837,483100,491603,500211,509165,518144,527202,536540,545762,555278,564839,574508,584418,594547,604780,615232,625849,636614,647574,658657,670012,681636,693520,705544,717664,730047,742340,755095,768141,780908,794116,807472,820846,834471,848363,862075,876044,890259,904665,919071,933797,948935,964075,979265,994665,1010144,1025875,1041791,1057809,1073913,1090332,1106705,1123093,1139765,1156556,1173552,1190502,1207958,1225194,1242670,1260074,1277723,1295376,1313272,1330973,1349077,1367244,1385448,1403794,1422081,1440480,1459196,1477833,1496888,1516129,1535215,1554461,1574015,1593678,1613625,1633962,1654052,1674354,1694644,1715227,1736094,1757000,1777786,1798722,1819857,1841018,1862225,1883760,1905431,1927203,1948772,1970357,1992171,2014530,2037015,2059254,2081686,2104481,2127464,2150352,2173278,2196397,2219625,2242855,2266449,2290343,2314082,2338210,2362367,2386583,2411223,2435565,2459932,2484324,2508961,2533664,2558203,2583083,2608283,2633340,2658391,2683785,2709129,2734675,2760052,2785844,2811583,2837787,2863997,2890353,2916554,2942898,2969330,2995891,3022388,3049267,3076320,3103089,3129757,3156837,3183718,3211010,3237977,3265358,3292439,3319751,3347187,3374343,3401934,3429761
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1,1,1,1,1,1,1,2,2,4,4,6,8,9,13,14,16,18,20,24,29,31,33,38,41,44,45,47,49,52,56,61,64,71,76,80,88,100,108,117,122,131,143,156,164,174,180,188,193,202,209,214,230,238,250,264,273,280,289,297,303,309,316,320,331,341,352,362,367,378,389,400,405,412,420,441,454,468,482,498,515,528,547,570,591,608,630,657,693,713,747,780,823,874,926,979,1031,1101,1169,1235,1302,1362,1429,1500,1553,1630,1725,1811,1903,1995,2088,2182,2301,2426,2565,2693,2848,2985,3152,3305,3456,3629,3836,4032,4234,4450,4645,4811,5021,5255,5468,5707,5921,6139,6399,6668,6933,7235,7519,7856,8186,8525,8880,9259,9623,10022,10422,10847,11308,11792,12225,12689,13176,13690,14184,14663,15158,15642,16171,16654,17206,17780,18345,18896,19483,20083,20678,21250,21842,22442,23118,23742,24370,25029,25692,26372,27015,27686,28341,29041,29707,30426,31123,31921,32656,33372,34127,34870,35642,36433,37206,37970,38720,39570,40387,41171,42073,42947,43835,44799,45722,46673,47658,48544,49588,50530,51521,52532,53552,54534,55574,56652,57732,58837,59940,61139,62349,63564,64842,66044,67371,68647,69950,71283,72675,74124,75537,76931,78394,79936,81389,82932,84471,86049,87669,89372,91034,92773,94543,96392,98221,100126,102041,104033,106017,108094,110121,112248,114450,116685,119043,121361,123929,126594,129161,131829,134601,137438,140323,143200,146125,149224,152243,155350,158272,161394,164549,167754,171112,174300,177642,181101,184609,188164,191803,195511,199210,202889,206578,210453,214467,218415,222399,226512,230661,234897,239254,243690,248247,252760,257507,262328,267141,272047,277006,282022,287023,292126,297239,302466,307727,313049,318456,323845,329308,334890,340433,346065,351768,357700,363688,369762,375838,382132,388436,394941,401425,407963,414496,421336,428249,435188,442232,449619,456977,464263,471796,479255,486985,494833,502669,510686,518833,527070,535479,543790,552253,560911,569709,578532,587473,596618,605804,615247,624769,634502,644075,653946,664002,674069,684163,694223,704610,715246,725950,736875,748037,759428,771006,782532,794430,806359,818425,830713,843187,855686,868562,881348,894375,907658,920973,934359,947972,961702,975534,989341,1003577,1017664,1031807,1046261,1060692,1075313,1090134,1105036,1120128,1135151,1150759,1166237,1181712,1197490,1213749,1229793,1246040,1262320,1278923,1295360,1312038,1328734,1345691,1362880,1380041,1397369,1414815,1432380,1450141,1468063,1486080,1504440,1522691,1541038,1559653,1578337,1597474,1616690,1636020,1655246,1674535,1693706,1713273,1733129,1753095,1773306,1793293,1813385,1833550,1854065,1874719,1895345,1916041,1937082,1958009,1979243,2000484,2021600,2043057,2064293,2085631,2107258,2128772,2150378,2172255,2194302,2216320,2238500,2260656,2282854,2305377,2328095,2350791,2373393,2396018,2418826,2442135,2465269,2488933,2512610,2536327,2560254,2584002,2607956,2632134,2656392,2681088,2705470,2730183,2754736,2779460,2804398,2829522,2854463,2879783,2904960,2930513,2955987,2981403,3006880,3032306,3057912,3083668,3109646,3135344,3161170,3187513,3213996,3240197,3266620,3292890,3319249,3345692,3372034,3398659,3425424,3452561,3479233,3505953,3532917,3560255
1,1,1,1,1,1,1,1,1,1,1,3,6,6,6,8,8,8,10,11,11,13,14,17,17,19,19,20,22,22,25,25,25,26,28,29,30,31,31,32,33,35,36,41,46,48,48,52,56,61,62,64,69,70,73,78,80,84,88,90,91,94,96,100,102,110,115,121,127,128,129,135,137,138,141,145,145,147,151,151,154,156,159,166,173,176,179,181,182,185,188,193,197,200,208,215,226,228,235,239,242,248,252,258,261,267,273,280,287,289,293,298,308,313,316,325,335,339,346,350,357,363,373,379,385,395,401,406,413,422,435,448,454,461,470,481,490,497,502,510,518,527,537,546,557,572,584,586,594,604,609,618,639,644,655,662,676,680,690,701,716,726,734,742,754,763,774,783,803,821,836,858,876,891,906,927,950,981,996,1022,1046,1059,1080,1100,1121,1142,1170,1188,1208,1228,1244,1267,1291,1322,1362,1391,1428,1457,1485,1513,1548,1585,1611,1632,1665,1699,1730,1762,1806,1838,1871,1924,1955,1993,2045,2093,2134,2178,2218,2259,2313,2357,2407,2460,2505,2551,2600,2654,2708,2760,2820,2864,2927,2992,3054,3125,3180,3234,3298,3369,3424,3495,3562,3628,3687,3761,3828,3896,3963,4023,4100,4173,4263,4341,4447,4531,4609,4699,4775,4863,4963,5053,5153,5250,5368,5454,5556,5664,5763,5857,5956,6034,6131,6238,6339,6471,6603,6746,6877,7008,7128,7255,7405,7528,7695,7838,8000,8151,8306,8464,8607,8813,9001,9182,9370,9579,9777,10001,10210,10413,10621,10826,11008,11216,11408,11612,11827,12059,12280,12514,12728,12979,13236,13473,13723,14003,14273,14538,14787,15060,15344,15652,15973,16272,16599,16949,17294,17679,18069,18445,18866,19237,19602,19993,20422,20839,21235,21663,22082,22531,22980,23439,23868,24317,24752,25232,25657,26137,26601,27053,27527,27979,28515,29027,29573,30112,30680,31219,31809,32384,32958,33540,34223,34849,35552,36259,36957,37667,38424,39192,39965,40779,41633,42559,43488,44490,45432,46408,47387,48446,49544,50667,51841,53033,54294,55487,56809,58085,59421,60757,62130,63540,64966,66392,67831,69346,70875,72481,74081,75767,77448,79153,80921,82820,84697,86660,88684,90745,92819,94862,96926,99067,101337,103552,105874,108213,110586,112988,115449,117934,120450,123001,125611,128263,131031,133827,136675,139573,142593,145657,148742,151870,155068,158331,161647,165058,168350,171693,175162,178693,182219,185801,189486,193127,196794,200676,204637,208632,212720,217007,221168,225394,229697,234162,238615,243170,247703,252399,257021,261809,266574,271466,276562,281837,286817,291896,297391,302965,308658,314310,320194,326142,332047,338162,344346,350749,357171,363643,370276,376984,383921,390944,397982,405102,412378,419817,427258,434850,442591,450388,458185,466036,474170,482303,490524,499028,507542
1,1,4,6,6,8,11,12,14,14,15,17,21,22,26,29,33,35,36,40,45,49,54,57,63,65,68,73,80,87,96,104,113,114,125,133,141,150,159,166,173,176,181,188,194,197,207,217,223,227,237,243,252,263,272,282,288,291,300,311,323,330,334,340,345,350,356,366,373,381,388,398,404,407,415,423,431,437,444,447,455,462,470,475,487,494,502,509,517,524,530,536,543,553,560,562,569,573,580,585,590,595,598,601,604,609,612,618,625,627,629,631,637,643,646,649,654,659,664,665,669,675,678,680,681,682,686,691,697,703,709,714,720,727,730,733,737,745,749,754,757,762,768,769,771,776,779,783,784,786,791,792,794,797,802,802,804,805,809,810,813,816,823,830,831,837,839,841,841,847,848,849,849,851,854,858,860,863,868,873,879,882,882,887,893,895,896,900,902,907,909,914,918,918,920,922,923,923,925,925,928,932,938,939,939,941,941,942,945,947,949,950,953,956,957,963,965,965,967,969,969,974,976,979,980,983,986,987,990,996,1001,1002,1004,1006,1010,1011,1011,1013,1014,1016,1020,1023,1027,1031,1033,1037,1039,1042,1044,1044,1044,1045,1049,1053,1056,1056,1061,1066,1066,1068,1070,1073,1075,1078,1079,1083,1084,1088,1089,1089,1091,1093,1096,1097,1100,1102,1105,1107,1109,1113,1114,1114,1115,1116,1116,1119,1121,1126,1127,1127,1128,1130,1131,1132,1133,1135,1136,1139,1140,1141,1143,1145,1146,1147,1148,1149,1150,1151,1153,1154,1154,1156,1160,1163,1166,1166,1168,1170,1170,1172,1178,1181,1184,1188,1197,1202,1212,1222,1233,1250,1254,1266,1274,1283,1302,1326,1344,1366,1385,1407,1419,1435,1447,1461,1470,1489,1498,1509,1521,1528,1542,1552,1561,1575,1588,1604,1617,1629,1643,1659,1670,1685,1697,1707,1722,1727,1747,1761,1781,1801,1819,1835,1857,1878,1898,1924,1946,1961,1977,2000,2029,2063,2089,2115,2142,2174,2195,2223,2257,2288,2321,2351,2383,2402,2427,2447,2469,2488,2511,2540,2570,2593,2626,2659,2677,2708,2743,2771,2803,2842,2890,2928,2965,2995,3026,3063,3100,3136,3184,3232,3275,3314,3364,3407,3446,3486,3522,3558,3604,3647,3690,3720,3755,3787,3823,3865,3904,3946,3980,4012,4067,4118,4165,4227,4300,4371,4437,4505,4561,4616,4681,4734,4801,4869,4928,4995,5047,5101,5148,5207,5268,5322,5362,5422,5470,5527,5571,5619,5676,5743,5791,5834,5888,5923,5962,6009,6055,6108,6162,6210,6268,6316,6365,6420,6470,6535,6586,6639,6694,6745,6782,6847,6897,6964,7020,7100,7167
1,1,1,1,3,4,5,5,6,7,7,7,7,10,12,16,17,18,19,23,25,30,31,33,36,38,39,42,43,49,52,52,56,60,61,63,65,67,71,75,78,80,83,84,86,89,92,93,96,96,99,100,106,110,113,116,119,125,129,130,137,138,140,143,148,154,162,170,171,176,180,181,183,183,186,191,193,195,196,203,210,214,215,217,217,217,218,224,226,228,230,231,234,235,236,238,238,240,241,242,247,252,255,258,266,269,271,275,280,283,286,293,303,308,313,319,321,324,329,335,342,345,351,355,359,363,366,378,383,386,389,393,399,401,404,410,412,416,421,423,429,432,439,446,450,454,460,464,472,483,488,497,507,522,528,541,558,573,584,601,619,648,660,679,691,708,726,751,781,802,815,841,858,888,909,931,952,975,995,1023,1045,1070,1091,1120,1146,1179,1206,1230,1266,1308,1350,1398,1453,1500,1560,1621,1694,1756,1837,1906,1973,2048,2127,2192,2276,2350,2434,2512,2589,2664,2729,2794,2851,2912,2978,3048,3113,3178,3238,3302,3350,3400,3459,3533,3592,3637,3702,3760,3826,3883,3932,4003,4068,4128,4191,4273,4343,4431,4507,4583,4656,4734,4806,4885,4972,5045,5166,5283,5387,5480,5572,5681,5806,5938,6075,6202,6368,6527,6673,6839,6985,7153,7321,7480,7647,7796,7957,8131,8327,8501,8653,8831,9011,9211,9411,9623,9841,10077,10317,10540,10807,11054,11329,11605,11871,12128,12419,12681,12953,13229,13520,13802,14074,14366,14664,14949,15241,15506,15827,16169,16495,16844,17216,17565,17948,18311,18717,19098,19485,19888,20284,20747,21179,21626,22086,22578,23027,23525,23976,24472,24951,25484,26003,26521,27084,27656,28231,28786,29379,29946,30561,31207,31909,32637,33325,34080,34797,35545,36305,37079,37873,38686,39536,40368,41209,42067,42885,43772,44632,45503,46432,47351,48251,49223,50206,51214,52191,53167,54166,55186,56300,57412,58470,59619,60766,61922,63115,64325,65523,66742,67981,69260,70558,71884,73234,74583,75939,77315,78756,80326,81912,83495,85097,86741,88406,90202,91957,93826,95711,97616,99619,101601,103708,105745,107883,109996,112220,114447,116743,118953,121305,123652,125979,128372,130762,133269,135783,138301,140942,143539,146211,148913,151558,154263,157027,159836,162678,165533,168654,171784,174981,178146,181435,184761,188185,191826,195420,199062,202851,206686,210573,214618,218678,222899,227217,231716,236210,240814,245514,250230,254917,259770,264829,269972,275132,280495,285921,291403,296977,302678,308486,314639,320906,327186,333598,340145,346855,353791,360842,367876,375183,382594,389989,397491,405241,412805,420767,428873,436885,445181,453472,461904,470583,479290,488144,497206,506252,515314,524724,534226,543508,553210,563029,572930,582928,592917,603148,613519,623985,634384,645207,655919,666783,677818,689081,700291,711742
1,1,1,1,4,7,8,8,11,11,15,23,25,28,35,42,46,52,59,67,77,94,110,124,141,156,170,182,196,211,222,228,245,262,270,280,286,296,303,313,318,326,337,346,360,365,373,385,392,397,398,404,409,419,425,430,441,449,457,467,474,481,489,494,497,500,505,514,519,529,530,535,542,547,550,556,561,565,573,578,581,585,589,590,593,598,603,610,613,619,626,633,638,645,651,657,667,674,693,702,714,723,735,751,766,787,810,836,854,890,917,944,974,1001,1034,1058,1084,1106,1133,1171,1203,1224,1245,1281,1313,1336,1375,1413,1446,1485,1520,1554,1577,1614,1635,1667,1695,1727,1752,1783,1833,1867,1902,1951,2011,2055,2100,2143,2194,2242,2291,2351,2404,2452,2517,2568,2629,2694,2757,2827,2886,2939,3004,3073,3132,3190,3251,3310,3392,3455,3522,3581,3651,3720,3786,3856,3928,4002,4079,4155,4256,4348,4438,4507,4615,4706,4809,4918,5023,5158,5283,5404,5557,5686,5823,5939,6093,6248,6383,6524,6694,6888,7064,7252,7467,7675,7871,8065,8268,8468,8668,8878,9105,9335,9565,9802,10050,10304,10539,10809,11056,11307,11557,11836,12114,12378,12649,12927,13240,13525,13832,14130,14451,14744,15045,15385,15706,16043,16350,16692,17012,17367,17712,18092,18475,18855,19238,19602,19972,20350,20759,21156,21576,22009,22452,22872,23335,23788,24309,24773,25223,25736,26234,26729,27220,27724,28240,28743,29263,29805,30345,30883,31453,32016,32589,33180,33747,34365,34972,35618,36257,36901,37554,38187,38849,39506,40159,40778,41424,42106,42880,43599,44316,45053,45789,46514,47306,48068,48850,49691,50452,51267,52073,52938,53833,54712,55657,56582,57484,58431,59397,60426,61450,62436,63515,64526,65642,66780,67899,69019,70179,71290,72577,73852,75167,76504,77876,79337,80861,82389,83921,85524,87082,88693,90364,92147,94008,95736,97530,99348,101216,103159,105060,107014,108999,111015,113023,115103,117084,119201,121352,123550,125825,128165,130433,132809,135139,137526,139975,142478,144976,147596,150217,152929,155680,158500,161346,164301,167163,170172,173274,176426,179588,182897,186303,189631,193076,196442,200038,203637,207241,210974,214782,218544,222517,226591,230726,234870,239016,243337,247621,252147,256626,261140,265776,270496,275350,280188,285085,290240,295344,300598,305984,311276,316839,322470,328256,334304,340282,346421,352580,358893,364998,371463,377891,384314,390730,397350,403965,410667,417454,424300,431226,438121,445420,452604,459870,467490,474957,482574,490529,498483,506704,514833,523039,531469,540044,548668,557464,566256,575299,584483,593846,603523,613218,623052,633119,643340,653704,664191,674856,685503,696208,707099,718183,729346,740386,751872,763498,775335,787104,799156,811156,823501,835913,848535,861165,873932,886992,899991,913297,926663,940188,953885,967695,981839,995856,1010080,1024548,1039235,1053986,1068751,1083578,1098696,1113952,1129371,1144926,1160683,1176298,1192093,1207947,1224094,1240131,1256389,1272961,1289719,1306453
1,1,1,1,1,1,1,1,3,6,6,6,7,9,11,11,12,13,14,18,20,24,28,31,33,34,38,41,42,46,48,50,55,58,62,65,70,73,77,81,86,89,100,102,104,111,116,121,125,128,134,138,141,149,153,157,162,169,178,181,183,187,188,189,190,193,194,196,197,199,200,200,201,201,203,204,205,206,208,208,211,214,219,221,221,223,226,227,229,231,232,235,237,241,245,246,248,248,249,249,252,256,256,258,261,266,268,268,271,272,276,280,285,288,292,297,301,303,305,306,309,313,316,318,323,324,326,330,333,339,342,349,353,359,365,368,370,376,377,382,386,389,389,391,392,393,397,398,399,402,404,406,409,410,412,415,416,418,420,422,425,425,426,428,432,432,438,443,447,451,452,455,459,459,467,470,472,473,477,484,489,498,507,510,514,522,527,536,544,554,557,564,569,575,582,592,602,610,617,623,631,637,642,650,671,684,699,706,718,726,738,749,763,779,790,802,818,825,843,868,889,903,927,947,969,987,1012,1039,1060,1079,1103,1131,1156,1180,1210,1235,1269,1303,1326,1355,1383,1417,1449,1492,1534,1564,1604,1644,1683,1721,1763,1807,1850,1900,1947,1995,2042,2089,2131,2160,2195,2239,2274,2322,2361,2397,2445,2479,2522,2575,2623,2663,2704,2758,2796,2838,2889,2925,2971,3034,3083,3133,3188,3236,3286,3318,3368,3402,3451,3512,3563,3617,3658,3700,3748,3802,3841,3880,3925,3970,4016,4065,4103,4143,4210,4262,4308,4358,4412,4458,4508,4562,4626,4690,4750,4820,4895,4954,5024,5108,5187,5267,5349,5413,5498,5567,5648,5734,5807,5884,5983,6072,6173,6275,6388,6477,6582,6685,6789,6890,7002,7119,7229,7342,7463,7590,7716,7842,7973,8129,8279,8441,8587,8745,8917,9090,9262,9436,9628,9837,10035,10246,10464,10685,10934,11170,11444,11685,11957,12194,12439,12740,12992,13287,13568,13923,14237,14520,14826,15123,15473,15841,16188,16551,16925,17327,17746,18154,18645,19111,19598,20087,20557,21044,21531,22010,22506,22937,23419,23926,24437,24972,25492,25983,26534,27053,27593,28134,28675,29207,29763,30333,30907,31450,32034,32623,33200,33829,34471,35104,35772,36459,37200,37845,38526,39296,40019,40732,41493,42275,43067,43838,44605,45424,46267,47134,47962,48847,49777,50686,51739,52752,53766,54873,55983,57080,58259,59419,60621,61833,63047,64339,65620,66932,68277,69602,70968,72381,73736,75192,76676,78141,79685,81319,83037,84666,86310,88077,89834,91692,93631,95539,97533,99503,101516,103544,105665,107805,109964,112095,114302,116609,118871,121179,123584,125904,128187,130577,132996,135376,137883,140385,142914,145612,148355,151072,153902
1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,5,7,9,13,16,19,21,23,24,24,24,26,28,32,33,36,42,44,52,53,56,58,61,65,69,72,77,84,86,89,93,99,103,105,110,113,116,118,124,128,131,136,138,141,148,153,155,160,162,166,170,175,186,193,196,200,205,211,218,223,232,245,252,259,265,269,272,279,287,291,296,307,312,323,335,347,355,361,370,379,385,395,405,421,442,455,469,498,522,542,564,587,610,631,652,666,689,708,736,764,795,821,842,874,895,918,937,956,985,1013,1043,1076,1095,1121,1146,1175,1200,1220,1254,1285,1318,1350,1368,1390,1419,1447,1483,1511,1535,1556,1588,1629,1665,1709,1741,1775,1809,1856,1885,1929,1977,2017,2059,2093,2147,2206,2255,2325,2390,2464,2539,2622,2705,2790,2864,2943,3041,3149,3256,3359,3481,3595,3732,3838,3971,4112,4254,4375,4515,4652,4804,4982,5117,5286,5464,5630,5780,5966,6143,6327,6526,6729,6931,7143,7360,7569,7775,7979,8181,8405,8627,8863,9121,9364,9603,9851,10110,10394,10683,10958,11251,11572,11900,12221,12532,12869,13235,13576,13965,14352,14786,15203,15653,16078,16474,16889,17368,17816,18262,18715,19144,19599,20087,20582,21063,21579,22102,22597,23157,23743,24368,24979,25617,26206,26877,27554,28284,28910,29627,30310,31069,31817,32635,33512,34391,35224,36123,37011,37875,38777,39698,40719,41709,42650,43691,44685,45736,46788,47842,48916,50051,51133,52278,53379,54574,55749,56890,58115,59358,60606,61815,63096,64403,65760,67132,68539,70058,71478,73036,74541,76107,77672,79336,80956,82622,84312,86128,87948,89864,91855,93925,96025,98207,100396,102631,104904,107253,109720,112257,114780,117286,119861,122461,125060,127709,130405,133053,135785,138643,141516,144344,147111,149971,152873,155860,158924,161902,165062,168316,171635,174918,178233,181664,185152,188667,192432,196166,200117,204139,208470,212878,217203,221640,226243,230940,235669,240637,245553,250588,255835,261042,266335,271609,277028,282544,287941,293443,298950,304532,310237,315953,321766,327681,333727,339563,345558,351703,358000,364476,371005,377560,384167,390967,397829,404812,412018,419402,426838,434370,441970,449673,457562,465351,473302,481349,489607,498222,506932,515903,525077,534515,543849,553432,563102,572843,582940,593230,603667,614200,624741,635404,646200,657295,668498,679519,690922,702320,713924,725586,737374,749330,761544,773909,786286,798678,811385,824075,836969,850079,863287,876598,890111,904032,917823,931912,946020,960789,975610,990474,1005483,1020643,1036039,1051654,1067323,1083235,1099404,1115585,1132317,1149187,1166270,1183383,1200638,1218205,1235710,1253829,1271742,1289812,1308276,1326759,1345581,1364716,1383819,1402952,1422192,1441659,1461329,1481313,1501147,1521345,1541784,1562373,1582729,1603523,1624447,1645586,1666539,1687672,1708766,1730062,1751081,1772290,1793821,1815484,1837059,1858851,1880450,1902293,1924413,1946405,1968153,1990375,2012508,2034827,2057115,2079582,2102509,2125291,2148073,2170841,2193706
1,1,1,2,2,3,5,6,7,8,10,10,10,10,11,12,14,17,22,24,25,27,28,31,33,35,37,40,45,51,54,56,65,67,71,75,81,85,86,90,93,96,98,105,113,126,130,135,140,146,151,156,161,172,180,182,185,190,200,208,219,229,240,250,255,263,273,282,287,298,314,328,338,356,374,388,398,413,426,436,451,461,479,498,519,529,552,572,585,606,637,651,679,707,726,759,777,794,814,846,879,913,938,973,998,1019,1043,1072,1095,1131,1158,1186,1211,1237,1256,1290,1319,1350,1395,1438,1488,1515,1539,1565,1617,1653,1694,1735,1775,1825,1864,1903,1953,1994,2034,2075,2110,2161,2212,2261,2319,2363,2401,2450,2503,2560,2610,2669,2732,2784,2838,2897,2944,3007,3062,3116,3163,3210,3268,3328,3370,3430,3482,3533,3596,3664,3734,3786,3840,3903,3961,3995,4052,4108,4165,4226,4282,4341,4394,4440,4493,4555,4612,4668,4723,4790,4862,4937,5006,5072,5145,5224,5298,5372,5434,5498,5569,5641,5708,5771,5839,5911,5988,6049,6125,6190,6252,6312,6385,6435,6516,6591,6679,6749,6829,6906,6980,7023,7106,7177,7256,7346,7433,7522,7618,7708,7785,7894,7992,8089,8190,8307,8409,8521,8624,8739,8865,8984,9099,9207,9331,9452,9594,9723,9854,9988,10146,10295,10445,10614,10776,10960,11144,11317,11499,11719,11957,12191,12430,12656,12847,13108,13335,13581,13850,14118,14360,14615,14877,15119,15377,15633,15907,16180,16484,16755,17027,17313,17570,17865,18165,18453,18747,19059,19406,19747,20091,20479,20888,21234,21613,22017,22461,22901,23390,23900,24391,24843,25332,25849,26319,26776,27207,27712,28227,28730,29178,29688,30189,30682,31173,31635,32138,32616,33166,33650,34145,34709,35257,35804,36346,36927,37490,38075,38692,39269,39873,40415,40989,41593,42196,42787,43409,44042,44727,45368,46004,46669,47335,48001,48616,49285,49971,50633,51332,52069,52786,53512,54272,55012,55830,56610,57334,58063,58864,59642,60429,61234,61998,62853,63621,64482,65352,66227,67065,67981,68838,69767,70621,71533,72436,73352,74317,75258,76208,77244,78224,79213,80284,81369,82448,83504,84660,85778,86938,88032,89207,90427,91680,92954,94282,95602,96927,98243,99625,101028,102514,104029,105589,107130,108683,110218,111846,113480,115082,116731,118444,120101,121856,123542,125386,127216,128883,130753,132611,134518,136489,138441,140485,142708,144933,147109,149435,151849,154243,156623,159178,161753,164366,166938,169545,172226,174970,177787,180671,183649,186588,189598,192691,195875,199113,202294,205671,209080,212691,216333,220052,223750,227610,231555,235488,239490,243602,247761,252069,256469,260981,265545,270167,274886,279662,284544,289603,294664,299876,305200,310572,316084,321604,327114,332597,338448,344335,350280,356245,362351,368413,374634,380823,387167,393687,400180,406922,413642,420629,427691,434869,442113,449532,456823,464498,472202,479967,487842,495999,504279,512507
1,1,1,1,1,2,3,3,3,5,5,5,6,7,7,7,8,10,10,14,16,18,22,24,27,27,29,31,34,37,40,46,49,57,68,69,78,90,95,97,104,106,108,112,116,126,135,141,148,159,163,168,177,186,194,204,208,212,219,224,233,235,245,249,256,264,273,281,292,295,299,310,315,322,330,335,343,345,349,356,358,363,364,366,371,375,378,381,385,390,391,392,393,395,398,401,407,408,410,416,417,420,420,421,422,424,430,434,438,443,448,452,453,459,465,469,469,475,476,477,479,485,492,498,502,505,510,519,522,530,538,542,546,548,551,557,558,559,561,568,568,568,569,571,572,575,577,579,580,581,582,582,586,586,587,590,592,592,594,598,602,604,604,605,606,609,611,613,614,614,616,619,623,627,632,639,642,644,652,655,660,666,668,679,689,694,698,702,714,716,721,727,733,736,746,750,753,756,763,767,770,781,786,792,796,801,808,816,821,831,837,841,852,862,875,886,891,899,908,916,924,932,937,945,962,967,976,986,996,1005,1016,1028,1040,1049,1060,1077,1082,1098,1104,1118,1131,1143,1155,1173,1187,1208,1223,1242,1251,1261,1277,1289,1303,1318,1326,1350,1369,1388,1413,1435,1465,1483,1503,1534,1566,1601,1624,1653,1678,1720,1741,1769,1796,1820,1851,1888,1931,1964,1987,2014,2036,2060,2094,2122,2162,2197,2226,2256,2290,2309,2338,2369,2392,2428,2464,2496,2520,2553,2581,2611,2635,2664,2696,2727,2753,2777,2812,2839,2867,2909,2943,2986,3007,3032,3058,3090,3126,3160,3194,3223,3263,3306,3346,3381,3414,3457,3489,3529,3579,3625,3667,3715,3767,3814,3872,3939,3994,4047,4088,4139,4198,4255,4307,4369,4414,4461,4510,4569,4612,4656,4701,4758,4796,4843,4879,4927,4972,5023,5068,5106,5148,5194,5246,5299,5351,5387,5433,5482,5530,5573,5624,5678,5740,5794,5854,5931,5981,6037,6098,6161,6219,6268,6324,6381,6434,6491,6547,6594,6661,6728,6779,6843,6912,6966,7034,7096,7163,7204,7246,7312,7363,7430,7490,7557,7638,7697,7778,7842,7920,7984,8041,8100,8166,8253,8338,8418,8518,8602,8707,8794,8897,8983,9087,9189,9287,9391,9500,9601,9717,9828,9928,10052,10167,10282,10373,10485,10591,10705,10831,10950,11091,11210,11364,11499,11634,11771,11927,12070,12222,12385,12540,12683,12826,12997,13163,13358,13546,13754,13959,14164,14346,14555,14756,14964,15178,15394,15628,15855,16076,16300,16567,16802,17047,17272,17507,17726,17965,18241,18508,18776,19047,19295,19557,19813,20099,20392,20695,20977,21290,21601,21925,22243,22565,22889,23197,23515,23878
1,1,1,1,1,3,5,6,8,8,8,9,10,12,12,14,18,21,23,24,30,33,36,37,38,40,43,43,46,50,53,54,56,60,62,66,70,72,79,80,85,88,95,99,102,107,111,116,118,121,124,128,133,133,134,140,149,151,156,161,173,178,185,192,200,207,220,237,255,271,296,325,343,355,373,396,416,442,470,500,536,572,600,629,659,692,727,765,812,861,904,949,996,1044,1091,1142,1196,1241,1302,1356,1426,1479,1530,1591,1644,1716,1778,1858,1919,1984,2061,2149,2237,2321,2403,2494,2580,2677,2770,2865,2969,3072,3178,3266,3371,3491,3615,3723,3823,3942,4068,4207,4338,4484,4620,4776,4926,5070,5211,5368,5503,5687,5841,6013,6203,6351,6497,6668,6854,7025,7200,7418,7586,7766,7961,8135,8322,8495,8698,8872,9065,9263,9472,9668,9856,10081,10294,10530,10758,10991,11205,11475,11726,11965,12216,12478,12725,13001,13287,13559,13849,14181,14490,14857,15198,15567,15929,16304,16682,17058,17456,17827,18241,18648,19059,19518,19954,20384,20851,21289,21732,22184,22664,23179,23681,24171,24690,25213,25722,26239,26729,27255,27748,28293,28845,29390,29961,30484,31026,31620,32197,32794,33323,33937,34536,35149,35764,36369,37011,37635,38285,38937,39589,40262,40941,41622,42338,43109,43834,44564,45342,46191,46995,47794,48627,49528,50432,51360,52238,53195,54183,55153,56172,57196,58281,59385,60492,61713,62870,64007,65229,66475,67707,68945,70195,71487,72843,74232,75545,76896,78350,79847,81344,82847,84417,85997,87683,89342,91081,92757,94512,96303,98080,99952,101773,103645,105560,107423,109322,111320,113224,115200,117103,119120,121133,123225,125298,127416,129466,131524,133694,135907,138139,140412,142684,144999,147401,149817,152291,154835,157375,160096,162747,165472,168244,171107,174016,176856,179781,182823,185915,189170,192477,195760,199293,202816,206434,210047,213705,217359,221059,224706,228417,232269,236094,240077,243966,247867,251857,255849,260041,264139,268308,272543,276953,281231,285679,290245,294908,299606,304478,309371,314308,319370,324467,329717,335071,340534,346043,351722,357485,363423,369402,375392,381548,387639,394059,400372,406894,413565,420413,427282,434254,441488,448620,455805,462939,470285,477742,485145,492841,500637,508465,516528,524651,532873,541276,549830,558498,567188,576187,585370,594719,604138,613826,623507,633438,643580,654057,664756,675394,686298,697377,708913,720277,731991,743813,755817,768142,780617,793257,806031,818932,832097,845318,858750,872199,886011,899889,914008,928447,942786,957367,972018,987053,1001994,1017248,1032531,1047989,1063625,1079196,1095061,1111187,1127299,1143778,1160316,1176876,1193804,1210755,1227842,1245060,1262636,1280136,1297990,1315789,1333641,1351728,1369826,1387997,1406119,1424591,1442993,1461462,1479831,1498603,1517326,1536164,1555330,1574379,1593709,1613288,1632796,1652583,1672627,1692610,1713045,1733559,1753966,1774666,1795597,1816451,1837557,1858679,1880219,1901821,1923505,1945234,1967073,1989337,2011496,2033897,2056127,2078514,2101411,2124335,2147110,2170104,2193094,2216413,2239679,2262830,2286212,2309928,2333374,2357365,2381263,2405632
1,1,1,2,3,5,5,6,7,8,9,9,10,11,11,13,18,21,27,29,29,31,33,35,39,42,45,48,51,54,60,63,71,74,77,80,82,88,93,98,104,110,115,121,127,132,140,142,148,154,163,173,178,193,198,203,214,218,219,227,234,241,247,252,261,270,274,279,281,293,307,316,321,328,338,349,362,368,380,392,399,409,415,429,439,457,462,470,484,495,508,517,526,534,547,555,567,583,596,606,614,625,639,651,659,671,678,687,697,711,719,726,734,739,748,754,763,769,778,786,793,803,812,824,839,854,867,878,887,894,906,924,938,951,957,967,987,1003,1020,1040,1059,1071,1082,1090,1109,1122,1144,1170,1185,1208,1218,1237,1255,1272,1291,1303,1318,1337,1359,1380,1400,1419,1438,1455,1469,1479,1488,1504,1516,1527,1539,1564,1585,1603,1613,1632,1646,1660,1669,1689,1706,1724,1738,1757,1774,1804,1831,1855,1885,1911,1943,1977,2013,2043,2072,2108,2142,2171,2207,2246,2281,2324,2357,2384,2421,2476,2511,2559,2603,2646,2687,2750,2803,2850,2892,2930,2981,3026,3093,3135,3203,3250,3310,3375,3431,3493,3547,3600,3684,3756,3844,3918,3986,4084,4164,4250,4320,4403,4473,4559,4654,4748,4857,4938,5016,5114,5223,5327,5421,5510,5623,5724,5835,5917,6008,6119,6227,6325,6456,6558,6690,6822,6955,7057,7207,7322,7472,7595,7729,7880,8046,8212,8379,8520,8697,8882,9100,9274,9468,9674,9869,10079,10252,10445,10651,10856,11086,11334,11572,11845,12062,12288,12571,12837,13082,13339,13614,13901,14204,14506,14794,15059,15362,15676,16002,16301,16635,16986,17318,17668,18038,18403,18819,19198,19670,20112,20519,20970,21405,21850,22305,22791,23228,23726,24236,24717,25233,25709,26207,26729,27280,27755,28261,28784,29330,29909,30448,30974,31511,32036,32585,33162,33737,34311,34882,35504,36133,36753,37424,38075,38712,39377,40108,40822,41582,42344,43072,43831,44585,45365,46201,46985,47776,48633,49566,50417,51233,52168,53042,53953,54839,55723,56584,57499,58454,59461,60368,61311,62274,63271,64242,65233,66281,67304,68438,69543,70610,71631,72659,73767,74928,76076,77250,78380,79558,80710,81926,83143,84392,85703,86913,88240,89485,90818,92110,93505,94878,96221,97598,99040,100497,102003,103526,105128,106695,108376,110035,111752,113539,115314,117170,119056,121087,123205,125320,127422,129620,131820,134165,136432,138753,141118,143587,146024,148496,151067,153691,156312,158944,161722,164540,167424,170263,173102,176001,179044,182107,185191,188222,191387,194602,197742,201036,204352,207697,211148,214691,218447,221970,225611,229338,233179,237082,241077,244989,249195,253404,257685,262127,266506,271283,275874,280585,285439,290380,295383,300377,305623,310603,315734,320937,326218,331675,337212,342781,348541,354275,360231,366382,372559,378795,385188,391511,398139,404778,411661,418529
1,1,2,2,2,4,7,7,8,8,9,9,12,17,19,22,23,23,25,27,28,30,30,34,36,38,39,42,48,51,52,55,58,61,70,79,83,88,90,95,96,103,107,109,114,116,119,123,130,135,140,142,146,149,150,151,155,159,161,163,167,169,171,175,176,178,184,187,190,191,192,192,194,195,197,197,198,198,202,205,207,209,212,216,219,221,222,224,227,230,234,237,239,242,244,248,253,261,269,275,279,281,286,293,297,300,314,323,335,341,346,353,361,372,379,385,395,401,407,412,423,433,441,458,469,479,491,503,508,523,542,559,567,586,608,629,639,651,683,704,725,742,756,775,793,807,830,857,876,909,940,976,999,1022,1054,1084,1113,1140,1170,1200,1225,1258,1279,1296,1326,1346,1372,1404,1438,1462,1497,1525,1552,1576,1604,1630,1658,1687,1717,1741,1766,1794,1826,1859,1891,1930,1953,1989,2021,2055,2085,2118,2140,2174,2194,2231,2259,2303,2340,2378,2415,2443,2477,2522,2556,2595,2640,2674,2712,2761,2812,2845,2885,2924,2967,3016,3050,3094,3140,3185,3225,3286,3339,3390,3426,3455,3501,3540,3583,3633,3681,3717,3749,3781,3819,3861,3912,3953,3999,4041,4084,4125,4164,4211,4264,4317,4361,4393,4430,4465,4510,4550,4591,4633,4663,4714,4753,4799,4851,4891,4940,4973,5008,5061,5107,5166,5210,5252,5314,5383,5439,5486,5536,5594,5650,5700,5755,5799,5849,5901,5945,6006,6059,6111,6177,6231,6278,6358,6422,6489,6566,6634,6704,6771,6835,6904,6975,7048,7144,7236,7327,7424,7509,7596,7699,7782,7874,7982,8053,8150,8259,8355,8459,8550,8634,8721,8824,8920,9004,9090,9177,9259,9356,9458,9543,9636,9737,9840,9932,10032,10146,10244,10347,10435,10544,10665,10790,10908,11013,11145,11270,11395,11529,11670,11809,11969,12129,12308,12479,12659,12843,13050,13256,13474,13702,13943,14132,14370,14640,14934,15208,15458,15729,16061,16371,16718,17053,17387,17713,18047,18443,18836,19233,19600,19957,20352,20715,21100,21540,21979,22389,22845,23263,23745,24200,24683,25180,25678,26207,26751,27306,27853,28440,29026,29635,30254,30885,31524,32140,32765,33415,34142,34850,35585,36365,37127,37944,38728,39532,40363,41266,42191,43150,44112,45088,46092,47103,48132,49234,50302,51435,52547,53672,54790,55917,57088,58252,59433,60619,61846,63137,64389,65694,66971,68294,69668,71102,72616,74136,75740,77381,79028,80683,82337,84047,85781,87603,89376,91227,93077,95019,96946,98871,100934,102891,104920,106864,108902,110993,113085,115166,117361,119572,121810,124085,126355,128720,130971,133304,135673,138068,140608,143052,145570,148095,150623,153312,156029,158782,161477,164222,167061,169908,172831,175887,179001,182165,185330,188601,192041,195475,199097,202684,206287,210121,213850,217692
1,1,1,1,1,3,4,4,4,4,8,9,9,10,11,11,11,15,16,17,21,24,26,30,34,36,40,48,58,63,68,71,81,86,90,98,107,109,119,123,130,138,142,147,157,161,171,178,186,191,196,206,214,224,235,239,246,252,260,269,283,293,298,306,316,324,337,352,365,376,395,404,412,426,434,444,461,477,487,495,503,513,524,535,545,553,566,579,589,603,613,624,633,643,650,661,676,692,697,701,712,722,733,742,754,761,771,780,791,801,815,828,838,849,863,878,889,902,916,927,938,952,965,982,998,1021,1044,1062,1081,1105,1129,1157,1178,1203,1233,1255,1274,1300,1322,1353,1380,1406,1435,1461,1486,1515,1536,1560,1581,1621,1657,1681,1705,1738,1775,1809,1838,1861,1906,1941,1986,2035,2089,2133,2179,2228,2265,2311,2351,2399,2458,2517,2579,2643,2703,2772,2834,2906,2987,3056,3129,3202,3276,3346,3441,3525,3608,3702,3777,3879,3988,4086,4177,4274,4389,4519,4633,4751,4863,4974,5079,5196,5313,5436,5532,5681,5820,5922,6063,6183,6288,6413,6539,6670,6825,6964,7107,7251,7396,7535,7681,7850,7994,8128,8299,8467,8642,8802,8949,9130,9293,9473,9663,9839,10019,10192,10391,10607,10811,11006,11193,11393,11600,11779,11974,12210,12421,12622,12821,13037,13261,13489,13731,13956,14208,14454,14688,14954,15230,15521,15814,16172,16478,16804,17178,17531,17916,18307,18703,19094,19539,19940,20378,20821,21291,21753,22234,22667,23094,23530,23985,24459,24927,25371,25810,26293,26807,27288,27750,28239,28720,29234,29710,30228,30756,31235,31764,32298,32847,33452,34000,34564,35121,35698,36273,36858,37434,38070,38712,39322,39975,40619,41277,41966,42593,43266,43951,44610,45265,45916,46632,47306,48001,48706,49412,50098,50850,51629,52374,53121,53904,54658,55484,56312,57178,58086,58992,59883,60833,61795,62792,63775,64818,65858,66963,67974,69095,70180,71288,72369,73488,74619,75751,76914,78162,79293,80523,81759,82997,84318,85769,87219,88619,90229,91861,93459,95199,96925,98700,100505,102355,104113,105977,107855,109726,111587,113517,115475,117378,119390,121438,123435,125454,127425,129469,131579,133648,135758,137850,140044,142149,144441,146704,149107,151545,154082,156621,159158,161729,164434,167153,169966,172867,175786,178779,181890,185147,188485,191883,195195,198626,202194,205599,209094,212660,216332,220050,223880,227808,231718,235816,239955,244157,248465,252881,257575,262309,267160,272221,277347,282470,287593,292803,297980,303429,308830,314365,320030,325681,331495,337313,343173,349102,355119,361272,367509,374175,380747,387463,394299,401262,408211,415529,422811,430206,437684,445474,453053,460880,468757,476633,484679,492720,500940,509078,517345,525805,534288,542939,551741,560522,569398,578368,587310,596443,605651,615185,624671,634298,644015,654136,664238,674385,684633,695209,705938,716736,727560,738820,750103,761570,773071,784513,796254,808219,820193,832533
1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,5,6,6,6,6,6,6,6,6,6,6,6,6,7,7,9,10,11,13,15,16,18,18,19,20,22,22,22,27,27,27,28,29,29,31,35,36,38,40,43,45,49,55,56,59,65,66,69,72,75,79,83,90,96,98,100,102,103,105,109,110,110,112,112,113,116,118,123,125,131,135,141,142,145,147,151,153,154,156,161,165,169,170,173,174,175,179,180,182,184,185,185,188,191,192,196,202,207,209,213,216,221,226,230,245,251,252,260,263,270,278,286,292,304,312,323,337,351,361,375,384,400,413,420,436,452,468,486,497,505,514,530,548,561,578,596,622,640,662,681,709,721,734,758,775,795,824,846,871,894,915,944,969,1001,1020,1046,1071,1093,1115,1145,1171,1188,1204,1226,1249,1282,1303,1324,1351,1369,1385,1405,1424,1444,1464,1486,1505,1532,1548,1574,1610,1644,1671,1699,1724,1751,1778,1799,1822,1853,1883,1909,1932,1969,1995,2017,2051,2084,2106,2138,2167,2191,2208,2230,2256,2291,2312,2357,2393,2420,2456,2503,2536,2563,2588,2623,2661,2699,2743,2767,2790,2820,2859,2904,2928,2955,3000,3031,3068,3105,3136,3169,3195,3227,3261,3313,3345,3390,3441,3483,3534,3568,3604,3648,3688,3730,3769,3809,3850,3898,3931,3972,4022,4067,4129,4190,4247,4308,4379,4443,4507,4565,4625,4689,4759,4814,4895,4953,5020,5095,5160,5245,5323,5401,5481,5577,5661,5749,5840,5951,6069,6186,6303,6404,6556,6689,6808,6949,7105,7252,7377,7479,7605,7738,7867,8026,8160,8304,8424,8556,8719,8864,9015,9225,9387,9564,9729,9919,10150,10350,10567,10813,11075,11345,11620,11941,12254,12578,12936,13311,13655,13988,14363,14721,15108,15498,15870,16245,16643,17031,17438,17856,18253,18637,19025,19430,19806,20212,20633,21039,21475,21869,22279,22679,23108,23565,24028,24495,24966,25450,25972,26483,26976,27501,28080,28642,29217,29800,30413,31017,31693,32360,33025,33682,34393,35148,35941,36731,37522,38376,39202,40046,40894,41781,42663,43579,44550,45540,46599,47598,48616,49649,50815,51979,53138,54323,55570,56777,58037,59255,60550,61867,63198,64536,65906,67275,68651,70031,71491,72923,74485,76103,77679,79343,80925,82710,84393,86140,87937,89703,91539,93363,95215,97151,99111,101060,103018,105029,107056,109087,111160,113314,115511,117746,120077,122444,124809,127245,129744,132172,134738,137289,139890,142520,145245,148014,150833,153682,156627,159550,162575,165672,168801,171886,175126,178433,181864,185450,188933,192485,196066,199840,203578,207480,211320,215312,219403,223523,227888,232164,236541,240976,245487,250046,254726,259545,264385,269506,274630,279851,285125,290342,295778,301227,306751,312122
1,1,1,1,1,2,2,2,3,3,3,5,5,5,5,5,8,11,12,14,15,15,15,17,22,28,31,32,35,36,36,43,44,47,49,52,54,59,61,68,73,80,85,91,91,96,100,104,108,120,124,128,133,142,148,155,164,171,180,190,197,204,216,229,244,252,264,273,287,298,309,323,329,341,360,369,382,394,409,419,434,456,466,477,485,497,503,520,532,555,567,580,597,605,621,631,638,651,665,679,692,703,715,721,728,741,751,760,766,777,791,805,818,828,838,857,870,881,900,913,928,938,971,987,1008,1030,1051,1075,1102,1134,1155,1188,1217,1250,1277,1295,1324,1354,1388,1418,1449,1478,1502,1532,1563,1593,1621,1650,1673,1707,1743,1763,1788,1815,1838,1871,1899,1929,1959,1990,2023,2061,2074,2110,2134,2156,2193,2217,2238,2269,2304,2320,2349,2375,2397,2433,2466,2482,2509,2533,2567,2586,2611,2645,2686,2725,2744,2769,2797,2828,2850,2887,2921,2951,2988,3022,3061,3108,3145,3188,3228,3255,3289,3331,3380,3424,3473,3528,3581,3644,3713,3805,3881,3947,4036,4114,4184,4267,4345,4430,4502,4594,4670,4737,4793,4856,4911,4989,5074,5127,5199,5269,5317,5376,5434,5508,5571,5634,5681,5741,5788,5843,5893,5946,6002,6066,6123,6178,6229,6272,6315,6368,6414,6461,6507,6543,6588,6642,6680,6723,6761,6797,6825,6875,6923,6957,7006,7058,7100,7132,7165,7212,7251,7286,7330,7371,7419,7461,7505,7541,7580,7623,7655,7697,7736,7764,7810,7865,7918,7964,8011,8053,8090,8144,8214,8275,8337,8393,8450,8523,8576,8640,8719,8785,8850,8924,8992,9068,9140,9237,9309,9395,9473,9554,9642,9736,9834,9926,10027,10141,10256,10364,10479,10584,10707,10830,10941,11082,11209,11343,11488,11656,11837,12013,12193,12357,12577,12803,13005,13279,13500,13720,13953,14234,14511,14766,15050,15347,15654,16008,16378,16713,17059,17446,17827,18194,18597,18983,19406,19829,20243,20685,21098,21505,21950,22428,22887,23328,23786,24257,24721,25214,25713,26196,26693,27244,27772,28298,28854,29475,30076,30706,31289,31943,32597,33247,33923,34616,35246,35952,36657,37351,38006,38693,39397,40092,40792,41537,42312,43067,43813,44598,45385,46195,46999,47792,48646,49430,50276,51191,52116,53012,53965,54943,55957,57005,58011,59059,60121,61257,62375,63595,64713,65952,67210,68491,69761,71033,72361,73717,75085,76532,77939,79416,80883,82444,83994,85559,87226,88878,90551,92468,94334,96183,98159,100136,102110,104167,106262,108491,110717,112966,115247,117567,120124,122540,125027,127490,130036,132673,135326,137937,140654,143480,146381,149207,152123,155012,157884,160859,163845,166849,170056,173257,176456,179691,183020,186348,189921,193516,197126,200775,204570,208412,212410,216315,220419,224620,228824,233066,237369,241729,246339,251042,255654,260420,265205
1,1,1,3,3,3,5,5,5,7,8,9,11,11,12,12,12,12,12,14,16,16,17,18,19,21,22,23,24,26,28,31,33,33,33,38,40,45,48,50,55,58,60,62,65,67,72,77,86,94,98,100,108,113,118,125,132,138,143,148,151,157,163,168,176,182,189,193,199,207,215,222,229,232,245,254,269,280,294,306,315,333,345,361,372,383,399,411,431,444,460,475,489,507,526,540,558,575,588,602,620,639,653,662,673,684,700,716,729,742,754,764,776,790,801,814,827,834,845,858,863,876,889,898,905,916,924,928,937,944,952,963,971,980,989,1000,1014,1028,1040,1061,1075,1084,1095,1101,1116,1131,1147,1162,1174,1186,1204,1220,1229,1248,1261,1279,1297,1310,1325,1341,1348,1366,1381,1393,1413,1428,1446,1462,1477,1489,1500,1518,1529,1545,1558,1568,1584,1597,1605,1615,1626,1637,1652,1658,1673,1685,1702,1715,1725,1742,1746,1759,1766,1779,1790,1799,1808,1815,1823,1829,1844,1854,1860,1875,1880,1885,1896,1908,1917,1929,1937,1945,1953,1968,1979,1984,1999,2004,2017,2037,2046,2062,2075,2086,2102,2114,2124,2130,2142,2154,2165,2179,2189,2204,2214,2232,2244,2254,2273,2288,2297,2309,2325,2342,2355,2371,2382,2395,2413,2440,2454,2471,2483,2499,2511,2533,2543,2554,2572,2582,2595,2609,2623,2640,2655,2673,2691,2708,2718,2737,2752,2769,2778,2795,2808,2819,2837,2855,2868,2877,2894,2906,2917,2931,2941,2959,2972,2987,2997,3011,3020,3030,3039,3048,3060,3068,3072,3078,3088,3099,3104,3111,3120,3124,3134,3142,3148,3152,3155,3162,3167,3174,3186,3191,3192,3196,3212,3219,3229,3237,3249,3265,3279,3293,3305,3317,3327,3344,3359,3374,3383,3396,3411,3433,3461,3482,3498,3528,3545,3564,3589,3607,3630,3649,3670,3695,3717,3740,3764,3792,3826,3866,3891,3915,3946,3965,3990,4023,4060,4098,4133,4180,4224,4253,4306,4348,4379,4433,4488,4540,4595,4645,4708,4765,4832,4898,4957,5024,5088,5176,5259,5341,5415,5494,5584,5675,5760,5846,5925,6025,6097,6198,6300,6414,6530,6633,6729,6836,6940,7058,7169,7301,7433,7565,7713,7870,8018,8160,8315,8443,8599,8770,8954,9120,9307,9492,9652,9832,10019,10203,10367,10552,10746,10971,11158,11330,11532,11682,11863,12072,12300,12510,12718,12932,13124,13393,13621,13867,14122,14385,14616,14881,15160,15445,15770,16078,16403,16715,17025,17349,17696,18004,18348,18695,19070,19429,19798,20153,20528,20911,21309,21682,22089,22469,22917,23357,23757,24197,24689,25158,25618,26140,26648,27229,27781,28377,28953,29581,30204,30814,31466,32083,32753,33454,34165,34857,35553,36277,37004,37775,38525,39240,39935,40642,41395,42153,42857
1,1,1,1,1,3,3,7,8,9,11,12,12,14,16,16,17,18,18,23,24,24,27,29,30,32,35,36,36,36,36,36,40,41,41,43,43,47,47,49,49,52,52,55,60,63,63,64,67,68,71,74,77,79,83,86,86,90,92,96,105,113,114,115,115,116,116,120,122,125,132,140,142,144,147,149,157,160,164,166,172,173,174,175,176,180,180,186,192,195,199,202,211,218,226,241,258,268,280,295,312,331,350,367,388,411,438,466,489,511,535,551,578,601,626,656,681,712,740,763,800,825,857,883,927,965,997,1041,1088,1144,1201,1262,1321,1381,1464,1533,1609,1723,1826,1935,2073,2215,2389,2578,2790,2997,3240,3473,3769,4099,4407,4710,5002,5347,5690,6020,6370,6716,7043,7387,7686,8041,8403,8757,9125,9488,9814,10154,10517,10898,11261,11638,12045,12468,12881,13284,13698,14150,14589,15045,15445,15883,16306,16700,17130,17546,17914,18295,18676,19049,19426,19802,20191,20607,21016,21445,21874,22253,22646,23045,23464,23900,24342,24764,25156,25579,26017,26451,26892,27313,27750,28192,28641,29127,29595,30068,30560,31048,31554,32064,32637,33166,33751,34313,34927,35499,36106,36797,37469,38161,38860,39599,40315,41025,41718,42541,43353,44164,45027,45949,46821,47740,48680,49597,50616,51613,52622,53680,54745,55825,56926,58039,59134,60262,61410,62614,63865,65146,66479,67802,69144,70454,71831,73291,74748,76117,77599,79056,80565,82160,83794,85376,86995,88686,90433,92141,93886,95667,97469,99368,101241,103175,105135,107080,109131,111177,113346,115482,117684,119831,122186,124492,126772,129130,131570,134045,136589,139170,141740,144346,147111,149800,152539,155463,158435,161322,164301,167360,170437,173559,176859,180125,183500,186823,190224,193810,197451,201070,204775,208457,212075,215880,219748,223574,227541,231471,235516,239696,243845,248209,252490,256977,261632,266213,271010,275705,280398,285369,290321,295540,300864,306271,311724,317420,323109,328985,334962,340970,347071,353268,359667,366179,372740,379384,386251,393174,400238,407372,414551,421748,429077,436591,444135,451839,459654,467587,475780,483987,492192,500609,509290,518221,527254,536472,545952,555228,564928,574680,584565,594567,604945,615607,626435,637290,648333,659552,670889,682380,693966,705655,717498,729418,741293,753198,765635,778037,790805,803335,816025,829074,841953,855093,868462,881756,895386,909259,923256,937493,951818,966303,981006,996049,1010844,1026145,1041304,1056529,1071881,1087475,1103209,1119283,1135301,1151452,1167706,1183843,1200409,1217337,1234064,1251188,1268225,1285444,1303070,1320752,1338479,1356257,1374420,1392542,1410603,1428746,1447118,1465486,1483942,1502745,1521539,1540558,1559769,1578769,1597828,1617085,1636636,1656283,1676098,1696044,1716145,1736259,1756582,1776840,1797332,1817799,1838797,1859835,1881132,1902301,1923868,1945499,1967096,1988817,2010679,2032702,2055024,2077664,2100205,2122858,2146074,2168938,2192153,2215573,2239532,2263162,2287079,2311146,2335673,2359720,2383902,2408283,2432913,2457744,2482340,2506952,2531734,2556643,2581487,2606271,2631424,2656863,2682152,2707463,2733023
1,1,1,1,2,2,3,6,6,8,8,8,8,8,8,8,8,8,8,9,10,10,10,11,12,14,16,16,16,16,16,16,16,16,18,21,21,24,27,28,28,30,32,37,40,43,44,48,49,51,52,55,60,64,70,74,78,86,91,101,107,116,123,131,135,142,152,160,174,183,192,202,214,220,227,230,240,251,259,270,279,289,297,299,306,316,326,337,345,353,360,366,375,382,390,400,407,414,422,429,435,442,449,454,460,480,490,503,513,525,535,545,556,568,585,601,610,632,648,661,678,698,717,731,749,773,792,814,833,856,877,896,920,947,959,985,1001,1032,1047,1061,1077,1097,1113,1141,1161,1177,1204,1231,1245,1278,1300,1327,1351,1366,1391,1406,1423,1444,1470,1491,1516,1538,1559,1584,1600,1623,1653,1667,1682,1698,1715,1729,1754,1770,1781,1802,1816,1841,1859,1881,1898,1915,1940,1952,1972,1998,2011,2027,2055,2078,2097,2124,2149,2166,2185,2202,2218,2244,2264,2298,2321,2351,2373,2399,2421,2457,2482,2509,2533,2560,2598,2630,2662,2689,2720,2748,2784,2824,2873,2910,2943,2983,3021,3058,3104,3149,3216,3249,3301,3362,3437,3515,3595,3679,3759,3843,3929,4023,4124,4235,4315,4409,4501,4610,4688,4803,4905,5008,5102,5194,5327,5450,5559,5690,5807,5929,6085,6226,6372,6496,6671,6808,6951,7110,7256,7385,7544,7686,7821,7977,8120,8252,8400,8520,8648,8796,8927,9072,9206,9320,9449,9605,9737,9880,10022,10176,10326,10488,10659,10829,10989,11176,11341,11526,11745,11972,12175,12362,12574,12784,13006,13239,13459,13701,13957,14192,14429,14648,14910,15166,15398,15665,15914,16180,16439,16704,16944,17214,17441,17721,17972,18242,18512,18777,19023,19335,19612,19899,20171,20454,20771,21093,21441,21784,22095,22445,22778,23157,23544,23971,24432,24885,25365,25819,26281,26807,27348,27858,28367,28880,29355,29930,30442,31022,31594,32194,32788,33342,33931,34508,35145,35762,36386,37061,37758,38446,39161,39917,40705,41508,42315,43123,43979,44782,45637,46576,47551,48490,49439,50459,51426,52511,53617,54665,55797,56917,58004,59202,60269,61449,62600,63809,65102,66227,67602,68901,70180,71528,72913,74246,75727,77187,78673,80234,81849,83353,84907,86520,88122,89712,91384,93155,94875,96763,98630,100498,102492,104510,106465,108525,110759,112867,115090,117369,119690,122030,124460,126843,129234,131696,134193,136715,139326,141928,144548,147223,149980,152889,155751,158621,161690,164697,167726,170891,173974,177093,180393,183679,186964,190391,193954,197582,201220,204929,208684,212520,216350,220244,224254,228194,232264,236374,240554,244714,248967,253195,257519,261767,266257,270753,275212,279886,284454,289142,293887,298715,303532,308413,313273,318430,323622,328986,334379,339920,345685,351462,357349,363294,369444,375453,381473,387617,393895,400402,406969,413565,420375
1,1,1,1,2,5,5,6,7,10,12,13,14,17,20,22,23,25,28,31,33,41,46,49,51,55,59,65,69,72,75,83,89,94,101,103,107,117,124,136,143,159,162,167,175,185,197,205,209,215,224,230,238,245,254,261,264,276,280,289,298,304,314,323,338,345,355,371,383,393,404,422,431,442,458,475,487,507,523,537,552,574,593,605,618,635,646,663,670,686,700,715,731,743,755,774,789,798,809,819,829,836,846,853,863,872,881,889,900,910,922,928,943,956,971,986,995,1013,1022,1042,1051,1061,1080,1094,1115,1135,1147,1162,1178,1184,1193,1214,1230,1243,1259,1279,1294,1307,1318,1332,1346,1355,1373,1390,1403,1424,1438,1450,1475,1500,1529,1558,1586,1612,1633,1661,1685,1717,1743,1768,1798,1832,1863,1896,1932,1960,1991,2028,2056,2104,2149,2183,2230,2279,2314,2383,2433,2495,2559,2620,2680,2747,2814,2889,2977,3069,3158,3252,3331,3423,3513,3600,3706,3798,3884,3980,4078,4174,4280,4376,4492,4593,4714,4847,4992,5115,5237,5367,5484,5636,5796,5949,6100,6248,6361,6494,6637,6801,6950,7074,7200,7330,7487,7658,7793,7928,8066,8244,8444,8621,8806,8967,9123,9305,9469,9665,9840,10015,10191,10375,10531,10678,10840,11023,11164,11311,11464,11631,11773,11947,12099,12252,12398,12567,12731,12902,13079,13243,13421,13606,13769,13955,14149,14332,14525,14705,14879,15073,15273,15479,15683,15879,16074,16278,16472,16670,16849,17040,17207,17404,17640,17828,18019,18215,18433,18607,18814,19048,19276,19504,19737,19959,20204,20460,20696,20939,21222,21478,21701,21954,22213,22476,22730,22973,23234,23479,23729,24018,24269,24520,24810,25104,25426,25771,26087,26416,26713,27048,27394,27734,28134,28518,28938,29324,29706,30140,30558,31010,31477,31947,32358,32863,33335,33806,34279,34751,35261,35725,36225,36713,37255,37775,38269,38807,39370,39926,40484,41082,41604,42221,42902,43567,44199,44825,45552,46258,46997,47762,48486,49163,49914,50627,51339,52039,52801,53526,54332,55093,55873,56708,57532,58400,59273,60169,61124,62045,63037,64065,65134,66215,67348,68433,69615,70830,72116,73339,74559,75809,77133,78476,79821,81171,82549,83897,85262,86644,88101,89554,91079,92658,94254,95916,97686,99474,101297,103127,104966,106921,108950,111052,113200,115271,117391,119635,121844,123990,126262,128491,130737,132897,135269,137568,139771,142043,144297,146704,149017,151384,153822,156271,158703,161167,163773,166255,168782,171330,173905,176606,179415,182075,184937,187809,190720,193678,196693,199687,202772,205818,209034,212293,215640,218952,222301,225786,229332,232905,236619,240337,244142,248076,252130,256081,260241,264401,268658,272982,277351,281743,286310,290875,295685,300511,305418,310283,315393,320433,325636,330832,336013,341379,346846,352302,357992,363873,369936,376017,382211,388401,394753,401259,407968,414674,421559,428434,435510,442462,449677
1,1,1,1,1,1,1,1,2,7,7,7,7,8,8,9,10,12,13,13,13,15,15,18,18,22,23,23,23,24,24,24,24,25,26,28,31,31,31,32,32,33,37,41,42,44,46,49,53,58,64,69,72,75,79,83,87,90,96,101,105,107,111,113,115,120,125,133,135,138,147,152,153,159,167,171,175,180,182,189,196,211,218,229,234,241,249,259,272,286,299,312,330,339,347,354,372,386,403,420,438,451,461,484,506,526,542,575,594,612,636,660,677,687,702,720,741,757,767,792,810,832,846,865,881,895,913,932,950,967,985,999,1018,1042,1060,1081,1096,1119,1143,1170,1201,1220,1253,1278,1310,1337,1363,1404,1437,1459,1484,1508,1533,1558,1587,1611,1646,1680,1708,1738,1770,1799,1824,1845,1879,1912,1930,1964,1998,2025,2054,2085,2118,2153,2187,2234,2274,2311,2348,2384,2426,2472,2510,2540,2573,2621,2670,2719,2766,2823,2873,2926,2976,3039,3093,3159,3232,3302,3345,3410,3483,3565,3633,3701,3767,3832,3891,3962,4041,4103,4156,4224,4307,4376,4450,4510,4554,4629,4696,4757,4823,4893,4961,5043,5104,5180,5254,5336,5419,5492,5573,5670,5776,5867,5964,6068,6185,6287,6383,6524,6649,6775,6892,7036,7168,7335,7503,7659,7842,7985,8139,8342,8521,8712,8914,9100,9310,9520,9754,9937,10142,10370,10595,10852,11092,11350,11581,11833,12092,12337,12608,12877,13122,13417,13688,13980,14291,14593,14892,15233,15570,15906,16263,16650,16975,17302,17661,18060,18419,18786,19166,19554,19948,20362,20798,21222,21673,22111,22554,23050,23484,23974,24491,24947,25425,25911,26413,26951,27456,27955,28532,29077,29632,30190,30779,31380,31983,32603,33218,33867,34519,35212,35834,36516,37213,37840,38507,39168,39898,40647,41399,42120,42892,43637,44441,45231,46038,46876,47748,48614,49492,50348,51228,52155,53106,54090,55091,56183,57275,58314,59387,60534,61676,62846,63971,65136,66384,67544,68816,70045,71342,72693,74024,75388,76773,78163,79508,80892,82384,83821,85296,86762,88266,89762,91367,93070,94701,96394,98107,99866,101555,103366,105208,107077,108972,110940,112969,114998,117124,119238,121357,123546,125754,127938,130233,132584,134935,137324,139838,142376,144953,147575,150277,153153,156101,159052,162035,165100,168200,171316,174618,177851,181195,184517,187899,191353,194797,198270,201724,205375,208973,212572,216318,220151,223939,227749,231588,235513,239422,243574,247506,251554,255664,259910,264149,268510,272871,277330,281993,286763,291512,296313,301208,306075,311104,316274,321761,327009,332531,337975,343633,349286,355091,360997,367192,373096,379256,385390,391534,397874,404355,410894,417519,424168,430828,437662,444676,451610,458841,466052,473643,481096,488623,496294,504114,512033,519925,527951,536177,544520,552838,561571,570098,578775,587568,596505,605629,614832,624126,633547,643119,652898,662703,672718,683018,693246,703417
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1,1,1,1,1,1,3,4,5,6,9,11,12,16,22,29,32,40,42,46,51,55,63,67,70,77,79,82,88,94,101,107,115,123,126,136,141,144,153,155,158,161,166,172,173,176,180,184,188,193,199,202,206,211,214,219,220,228,233,236,245,248,261,270,278,285,291,302,314,324,331,338,346,352,356,365,368,379,384,392,400,417,431,440,453,465,474,488,500,510,521,537,554,568,576,594,608,622,634,646,662,672,681,696,715,727,755,771,787,810,828,851,866,880,900,922,942,957,973,997,1020,1038,1064,1089,1115,1144,1180,1211,1238,1262,1287,1314,1344,1393,1424,1477,1507,1536,1576,1618,1662,1691,1742,1775,1818,1858,1895,1935,1985,2035,2076,2112,2151,2195,2239,2293,2340,2386,2431,2467,2510,2571,2635,2702,2757,2838,2901,2975,3041,3107,3188,3264,3375,3474,3571,3675,3790,3905,4024,4156,4291,4433,4570,4722,4886,5067,5200,5369,5513,5659,5841,6013,6200,6371,6571,6751,6949,7148,7326,7534,7726,7931,8126,8323,8540,8772,9008,9272,9515,9783,10019,10277,10570,10848,11151,11486,11800,12130,12496,12863,13246,13628,13985,14384,14765,15156,15556,15942,16347,16814,17263,17700,18185,18629,19103,19586,20059,20600,21125,21640,22219,22798,23401,23980,24574,25177,25805,26462,27091,27681,28315,28943,29561,30230,30898,31520,32158,32845,33594,34318,35079,35839,36591,37408,38187,38982,39780,40705,41604,42471,43400,44418,45376,46497,47481,48555,49656,50765,51921,53117,54273,55578,56820,58048,59326,60636,61985,63389,64783,66166,67617,69078,70514,71928,73436,74953,76406,77859,79374,80911,82518,84147,85835,87601,89384,91195,93044,94908,96821,98768,100669,102678,104720,106862,109074,111241,113509,115754,118066,120498,122907,125406,127950,130565,133164,135946,138720,141583,144443,147402,150321,153414,156565,159918,163205,166511,169879,173325,176829,180464,184193,188012,191891,195731,199676,203770,208002,212197,216435,220762,225078,229431,233925,238517,243132,247848,252513,257284,262156,267155,272020,276962,282066,287293,292640,297954,303287,308697,314104,319838,325643,331475,337382,343470,349503,355819,362451,368930,375671,382303,388952,395709,402706,409703,416827,424199,431298,438668,446099,453689,461467,469500,477465,485368,493652,501839,510331,518805,527305,536217,545296,554335,563509,573145,582762,592522,602355,612448,622614,633022,643638,654330,665311,676422,687748,699209,710741,722804,734884,747002,759166,771680,784397,797122,810215,823386,836786,850484,864386,878470,893019,907583,922312,937173,952355,967666,983001,998545,1014202,1029959,1045935,1062213,1078402,1094595,1111111,1127793,1144596,1161389,1178246,1195614,1213144,1230539,1248191,1265631,1283393,1301177,1319146,1337174,1355377,1373470,1391824,1410351,1429168,1447922,1466990,1485806,1505065,1524402,1543697,1563280,1582979,1602704,1622616,1642789,1663100,1683800,1704479,1725458,1746443,1767590,1788601,1810113,1831799,1853402,1875279,1897290,1919465,1941422,1963947,1986281,2009148,2032059,2055048,2078082,2101515,2124766,2148610
1,1,1,1,2,2,4,5,9,9,9,9,9,9,9,10,11,14,18,18,23,25,31,35,38,39,43,47,50,53,64,65,71,78,81,82,86,93,97,102,107,119,121,129,131,139,145,149,154,159,166,170,186,193,199,207,211,224,234,242,253,259,266,269,275,282,289,294,303,316,324,335,349,358,371,381,394,409,436,466,508,550,600,637,672,717,746,790,840,884,932,978,1011,1056,1102,1144,1182,1207,1230,1276,1308,1359,1392,1420,1450,1486,1513,1551,1576,1608,1636,1659,1678,1715,1730,1753,1771,1789,1814,1831,1849,1864,1880,1895,1914,1930,1947,1965,1985,1999,2010,2022,2034,2049,2065,2083,2100,2119,2128,2142,2164,2187,2204,2213,2224,2243,2255,2275,2285,2297,2317,2339,2351,2373,2394,2417,2429,2452,2472,2497,2524,2550,2576,2598,2619,2636,2661,2689,2708,2734,2765,2803,2850,2891,2929,2957,2997,3036,3085,3131,3184,3242,3293,3356,3427,3494,3560,3625,3700,3776,3856,3927,4012,4085,4153,4203,4279,4346,4427,4499,4560,4625,4694,4762,4820,4886,4956,5022,5081,5146,5199,5273,5346,5415,5499,5572,5660,5740,5826,5914,5984,6083,6155,6239,6337,6437,6534,6637,6731,6807,6889,6987,7075,7190,7296,7393,7519,7623,7722,7831,7948,8081,8201,8301,8421,8560,8710,8852,9032,9193,9325,9472,9624,9810,9986,10156,10349,10530,10720,10937,11143,11366,11578,11791,12030,12224,12471,12699,12923,13149,13377,13621,13827,14068,14340,14574,14817,15084,15356,15637,15891,16162,16465,16794,17148,17491,17873,18192,18577,19003,19391,19803,20196,20633,21039,21449,21879,22318,22736,23141,23561,23948,24415,24848,25264,25708,26117,26515,26937,27362,27793,28223,28578,29016,29431,29881,30322,30729,31189,31668,32156,32696,33234,33704,34196,34720,35239,35745,36295,36847,37460,38036,38695,39309,39964,40621,41310,41987,42646,43369,44177,44950,45738,46553,47338,48190,49054,49953,50888,51831,52771,53787,54780,55870,56947,57974,59071,60189,61336,62515,63665,64928,66222,67570,68879,70264,71695,73188,74644,76291,77912,79506,81249,83000,84715,86545,88406,90369,92282,94314,96388,98461,100614,102797,104978,107269,109552,111895,114320,116743,119163,121554,124037,126628,129179,131787,134482,137177,139852,142629,145418,148252,151113,154054,157184,160317,163550,166838,170185,173656,177177,180766,184457,188310,191991,195952,199986,204033,207990,212244,216585,220806,225231,229574,234200,238864,243481,248138,252795,257595,262479,267524,272418,277623,282674,287995,293198,298520,304130,309551,315234,321093,326977,332812,338795,344893,350947,357381,363745,370311,376847,383409,390144,396878,403931,411175,418434,425842,433253,440887,448520,456331,464303,472407,480499,488918,497281,505566,514148,522955,531746,540896,549903,558955,568333,577632,587039,596645,606498,616251,626239,636409,646484,656997,667467,678046,688862,699739,710560,721659,733017,744414,756004,767912,779709,791472,803468
1,1,1,1,1,2,2,2,4,6,6,7,8,9,11,12,13,15,17,20,23,28,31,37,41,48,52,60,65,67,72,78,82,89,90,95,99,102,105,115,116,122,127,133,139,146,150,151,158,162,165,168,172,177,178,179,185,190,193,197,206,213,221,229,243,247,254,267,279,290,302,317,327,342,354,366,379,386,396,411,425,444,455,470,494,516,537,549,569,591,612,628,654,675,690,711,732,751,769,794,819,849,878,906,931,972,1009,1049,1115,1176,1237,1302,1389,1461,1545,1647,1713,1798,1890,1953,2030,2102,2170,2247,2319,2385,2462,2548,2599,2660,2717,2795,2848,2943,3021,3118,3212,3305,3385,3469,3540,3639,3740,3812,3918,4025,4134,4208,4291,4378,4470,4542,4637,4720,4805,4897,4968,5042,5130,5200,5290,5367,5444,5528,5617,5692,5774,5824,5925,6017,6089,6181,6267,6339,6411,6500,6569,6663,6757,6893,6994,7089,7215,7321,7430,7542,7652,7765,7863,7971,8105,8224,8333,8479,8609,8733,8846,8982,9108,9247,9379,9536,9685,9821,9946,10093,10260,10387,10546,10725,10880,11044,11216,11371,11558,11751,11934,12135,12338,12552,12738,12942,13124,13337,13537,13788,14022,14277,14515,14766,15006,15260,15505,15807,16096,16392,16698,16977,17309,17638,17969,18307,18676,18986,19358,19725,20096,20489,20858,21279,21673,22080,22495,22906,23342,23745,24159,24566,24975,25436,25909,26353,26799,27237,27718,28178,28622,29098,29579,30060,30576,31167,31680,32184,32726,33273,33831,34413,34997,35641,36257,36854,37468,38143,38860,39487,40158,40814,41559,42319,43125,43928,44737,45559,46442,47335,48245,49176,50158,51069,52036,53044,54057,55074,56088,57168,58296,59392,60509,61687,62828,64018,65228,66414,67738,69053,70312,71683,73045,74405,75756,77267,78717,80246,81884,83520,85184,86943,88727,90561,92364,94335,96338,98358,100526,102717,104968,107289,109710,112026,114464,116927,119413,122015,124624,127306,129956,132694,135455,138272,141150,144112,147167,150247,153360,156575,159830,163297,166648,170196,173797,177350,180992,184622,188370,192169,196052,199923,203925,207847,211939,216009,220214,224579,228851,233302,237817,242340,246889,251479,256165,260892,265812,270663,275670,280729,285909,291255,296608,302136,307645,313364,319165,324870,330551,336505,342439,348466,354514,360669,366882,373410,379934,386574,393248,400188,407143,414192,421489,428826,436156,443728,451383,459155,467249,475415,483782,492118,500615,509326,518075,527205,536532,545829,555268,564826,574744,584632,594575,604724,614924,625309,635651,646104,656920,667630,678550,689469,700604,711771,723000,734687,746251,757756,769494,781469,793410,805773,818478,831444,844527,857803,871258,884806,898427,912380,926523,940935,955374,970140,985018,999900,1014936,1030121,1045671,1061333,1077174,1092984,1108691,1124904,1141235,1157346,1173789,1190420,1207033,1223913,1240550,1257907,1275055,1292364,1309979,1327680,1345784,1363701,1381749,1400089,1418465,1437171,1455945,1474861,1494137,1513641,1533221,1552754,1572193,1592200,1612375
1,1,2,4,4,5,7,7,9,9,9,9,11,13,18,19,25,29,33,36,39,40,48,52,56,61,66,71,77,87,96,101,109,119,126,140,151,160,170,176,184,195,205,215,227,237,249,262,277,290,308,316,331,344,361,373,384,408,421,435,447,462,477,492,502,514,532,542,559,575,589,602,626,640,650,667,682,702,721,741,765,785,805,820,844,861,883,904,922,948,968,988,1016,1037,1060,1084,1115,1141,1162,1188,1208,1237,1260,1288,1325,1341,1372,1402,1430,1465,1485,1511,1531,1555,1582,1612,1630,1647,1669,1687,1710,1747,1772,1793,1819,1848,1876,1910,1935,1961,1992,2049,2081,2121,2154,2206,2243,2284,2343,2391,2444,2493,2534,2586,2651,2718,2776,2831,2901,2966,3037,3102,3192,3281,3377,3482,3578,3687,3786,3881,4002,4110,4247,4402,4574,4763,4964,5146,5346,5557,5764,5984,6223,6452,6703,6912,7144,7362,7577,7812,8019,8257,8494,8742,8980,9250,9489,9740,9992,10242,10499,10736,10986,11245,11480,11722,11983,12201,12430,12648,12837,13048,13251,13447,13646,13877,14079,14283,14548,14761,14970,15197,15407,15652,15903,16147,16391,16641,16903,17152,17411,17659,17903,18165,18412,18687,18963,19229,19499,19770,20029,20357,20664,20949,21262,21590,21914,22245,22585,22986,23331,23687,24066,24502,24937,25390,25831,26262,26690,27138,27617,28108,28607,29124,29584,30063,30568,31083,31608,32142,32714,33276,33847,34442,35049,35677,36233,36863,37531,38190,38920,39678,40417,41233,41993,42819,43700,44603,45470,46398,47316,48264,49215,50164,51191,52247,53326,54422,55506,56639,57754,58928,60102,61358,62622,63898,65149,66476,67878,69257,70666,72145,73644,75212,76820,78433,79971,81637,83268,84970,86729,88469,90297,92134,94063,96063,98029,99977,101931,104048,106202,108343,110571,112834,115099,117378,119668,122005,124352,126734,129165,131581,134083,136597,139230,141896,144597,147337,150118,153054,156025,159104,162364,165557,168883,172203,175645,179161,182675,186233,189887,193629,197413,201187,205091,209061,213096,217273,221520,225590,229817,234227,238471,242909,247403,252004,256662,261424,266224,271099,275972,281089,286251,291504,296902,302449,308085,313825,319638,325497,331543,337621,343803,350068,356393,362734,369061,375636,382343,389065,395967,402915,410048,417170,424464,431710,439162,446711,454337,462141,469882,477751,485934,494044,502235,510811,519402,527823,536537,545247,554008,562905,572156,581478,590773,600147,609748,619388,629249,639147,649190,659441,669848,680052,690768,701386,712202,723392,734543,746027,757722,769415,781185,793304,805508,817936,830550,843163,856003,868911,882000,895203,908495,921950,935700,949373,963479,977388,991642,1005995,1020576,1034974,1049901,1065033,1080354,1095844,1111412,1127253,1143390,1159613,1175837,1192538,1209517,1226720,1243658,1261119,1278548,1296517,1314364,1332405,1350430,1368926,1387308,1405919,1424381,1443536,1462564,1481850,1500785,1520199,1539766,1559059,1578752,1598548,1618622,1638853,1659249,1679637,1700263,1720926,1741822,1762699,1783712,1804609,1825774,1847067,1868713
1,1,1,1,1,2,3,4,4,4,5,5,6,8,11,11,11,11,11,11,11,11,11,11,14,16,18,19,20,23,23,25,26,31,34,38,39,40,42,49,52,53,58,64,68,70,75,79,86,88,94,97,100,103,109,111,114,119,127,131,135,139,144,149,153,159,163,164,164,164,165,169,172,176,176,176,177,179,184,186,186,188,190,190,190,193,195,198,201,204,205,207,208,208,210,214,218,224,224,230,236,237,240,243,247,249,252,255,258,260,264,266,273,276,278,285,286,291,296,298,300,303,305,308,312,316,322,327,335,337,339,339,340,343,345,349,352,354,357,361,364,364,373,375,378,380,381,383,390,395,397,399,407,411,418,423,428,430,435,437,443,444,449,455,461,464,467,470,480,488,493,498,503,510,513,522,535,545,552,565,569,578,584,590,598,605,612,621,632,647,656,662,669,683,691,701,709,718,724,730,743,749,759,769,779,786,797,809,820,828,839,846,859,875,884,893,901,907,915,925,936,946,954,968,980,991,998,1011,1023,1030,1038,1050,1057,1067,1074,1087,1095,1105,1118,1134,1151,1168,1176,1187,1196,1204,1208,1217,1223,1232,1248,1268,1280,1293,1308,1322,1334,1348,1357,1374,1386,1407,1418,1430,1441,1456,1471,1486,1493,1509,1520,1532,1539,1551,1561,1586,1601,1611,1628,1646,1655,1664,1676,1690,1702,1723,1739,1765,1783,1805,1827,1845,1868,1890,1915,1932,1956,1976,2001,2014,2045,2065,2086,2107,2134,2159,2188,2207,2229,2251,2266,2290,2322,2348,2371,2404,2423,2444,2476,2495,2512,2535,2561,2591,2621,2652,2682,2713,2735,2758,2780,2806,2839,2880,2910,2946,2980,3012,3047,3079,3109,3145,3172,3200,3241,3269,3301,3332,3363,3400,3438,3466,3498,3541,3571,3614,3645,3672,3695,3727,3756,3788,3828,3861,3884,3919,3966,4001,4036,4072,4109,4144,4192,4232,4270,4314,4357,4400,4443,4485,4528,4572,4614,4665,4717,4762,4809,4855,4902,4951,5011,5066,5127,5178,5224,5289,5354,5409,5474,5541,5589,5632,5689,5755,5803,5871,5923,5960,6020,6068,6117,6174,6225,6297,6351,6400,6468,6528,6578,6642,6677,6738,6792,6859,6910,6974,7041,7115,7192,7265,7340,7433,7512,7581,7666,7761,7843,7929,8015,8124,8209,8309,8408,8508,8610,8699,8803,8918,9024,9143,9254,9373,9503,9629,9758,9881,9997,10117,10241,10346,10457,10580,10693,10825,10947,11076,11199,11299,11422,11540,11643,11766,11888,11993,12134,12247,12354,12471,12593,12714,12840,12960,13081,13217,13359,13478,13621,13757,13883,14028,14174,14316,14464,14627,14766,14922,15074
1,1,1,1,2,2,2,2,4,5,5,6,8,8,15,18,20,24,27,30,31,33,37,39,41,44,48,51,54,58,61,62,65,67,75,76,82,84,89,92,98,101,103,108,109,112,117,121,123,127,130,136,139,141,144,151,155,158,160,163,167,168,173,176,180,182,183,184,186,188,191,192,196,198,199,200,204,204,209,210,211,212,215,216,218,220,222,226,227,229,234,234,237,241,242,246,253,266,280,292,306,320,340,359,371,392,409,432,481,517,558,599,640,687,740,790,844,881,930,966,1019,1064,1106,1155,1196,1241,1274,1301,1331,1363,1389,1439,1487,1535,1581,1622,1661,1709,1758,1823,1881,1934,1996,2061,2112,2168,2225,2287,2352,2404,2464,2510,2561,2619,2677,2740,2799,2858,2909,2958,3001,3042,3090,3137,3188,3236,3282,3328,3371,3419,3470,3518,3569,3620,3680,3722,3758,3803,3840,3886,3928,3970,4018,4060,4107,4140,4173,4213,4254,4293,4322,4361,4400,4445,4488,4541,4579,4626,4671,4715,4760,4812,4848,4888,4942,4979,5012,5059,5110,5154,5203,5256,5311,5376,5425,5485,5541,5591,5651,5712,5773,5844,5914,5979,6047,6114,6171,6215,6276,6337,6404,6471,6520,6578,6637,6693,6761,6829,6882,6939,6996,7077,7155,7220,7329,7412,7501,7581,7652,7730,7811,7899,7994,8084,8169,8263,8369,8453,8549,8631,8732,8814,8908,8984,9081,9175,9269,9375,9475,9581,9684,9804,9933,10046,10153,10270,10394,10517,10664,10815,10958,11097,11226,11376,11539,11720,11870,12024,12205,12375,12541,12722,12925,13091,13289,13489,13693,13871,14078,14273,14497,14740,14956,15175,15388,15630,15855,16110,16357,16638,16889,17152,17396,17653,17934,18226,18520,18842,19115,19416,19719,20059,20411,20759,21146,21527,21913,22280,22714,23094,23539,23990,24412,24847,25301,25811,26342,26904,27446,28016,28562,29179,29813,30429,31049,31751,32406,33127,33859,34603,35346,36124,36906,37699,38510,39365,40244,41113,42041,42952,43834,44791,45771,46778,47684,48674,49626,50636,51570,52549,53551,54490,55489,56547,57628,58682,59721,60805,61896,63014,64169,65304,66522,67777,69050,70296,71555,72952,74419,75821,77224,78754,80220,81814,83421,85018,86656,88346,90079,91860,93553,95276,96955,98659,100442,102270,104118,106022,107948,109950,111967,113899,115964,118078,120231,122323,124537,126686,128826,130999,133198,135444,137771,140125,142477,144968,147509,150052,152635,155314,157993,160809,163717,166639,169561,172535,175569,178757,181880,185093,188337,191636,194988,198533,202178,205934,209763,213668,217557,221523,225601,229674,233897,238057,242495,246870,251309,255740,260404,265088,269743,274466,279389,284214,289341,294305,299426,304603,309902,315234,320579,325953,331454,337068,342825,348656,354475,360524,366539,372634,378941,385276,391806,398317,404884,411635,418494,425507,432456,439632,446752,454174,461668,469266,476963,484805,492561
1,1,1,1,1,1,1,2,5,6,8,10,10,12,13,13,14,16,16,16,18,22,26,30,38,40,49,50,55,58,63,71,83,90,97,109,119,127,138,145,154,162,172,184,200,205,213,217,229,235,241,250,262,269,283,298,311,318,329,341,351,360,369,381,394,413,428,441,451,462,476,486,498,513,525,538,552,564,588,607,620,635,651,669,682,694,706,728,746,758,783,800,807,825,832,844,856,872,881,900,920,939,959,978,1000,1015,1032,1056,1062,1083,1103,1121,1145,1168,1185,1200,1219,1236,1256,1279,1294,1305,1323,1335,1356,1369,1389,1403,1422,1432,1443,1451,1462,1472,1484,1498,1509,1518,1530,1536,1541,1546,1561,1576,1583,1591,1598,1606,1616,1629,1639,1654,1667,1682,1695,1703,1713,1728,1741,1752,1764,1773,1784,1795,1811,1829,1844,1860,1881,1896,1914,1930,1950,1967,1983,1997,2007,2022,2039,2063,2083,2098,2115,2131,2146,2168,2195,2217,2246,2278,2315,2351,2394,2437,2479,2508,2571,2628,2690,2785,2888,3001,3103,3224,3353,3477,3627,3785,3913,4051,4192,4312,4442,4575,4723,4860,4968,5056,5162,5257,5381,5498,5613,5708,5827,5947,6070,6200,6333,6465,6611,6748,6901,7051,7228,7452,7691,7953,8212,8449,8716,8990,9273,9570,9877,10141,10426,10698,11013,11290,11547,11803,12047,12290,12555,12806,13047,13291,13546,13794,14069,14334,14601,14839,15084,15329,15587,15871,16151,16396,16662,16940,17198,17450,17764,18052,18358,18664,18954,19262,19592,19920,20255,20568,20894,21241,21567,21938,22279,22646,23061,23443,23858,24305,24790,25264,25770,26272,26795,27343,27909,28479,29051,29658,30287,30900,31573,32261,32928,33641,34321,35098,35886,36705,37504,38392,39279,40180,41070,41952,42884,43810,44707,45606,46480,47397,48307,49204,50165,51147,52130,53134,54224,55282,56328,57424,58533,59641,60794,61945,63117,64246,65410,66579,67741,68887,70073,71308,72510,73781,75024,76327,77619,78938,80293,81661,83085,84413,85871,87341,88874,90354,91879,93423,95013,96651,98398,100045,101740,103582,105441,107271,109113,111087,113112,115144,117156,119142,121247,123330,125566,127848,130105,132298,134568,136857,139188,141524,143912,146257,148733,151219,153649,156114,158644,161289,163850,166645,169405,172328,175330,178309,181270,184270,187500,190817,194222,197658,201014,204624,208348,212061,215785,219596,223498,227421,231408,235360,239496,243604,247775,251925,256088,260408,264820,269265,273778,278514,283104,287742,292561,297467,302367,307481,312484,317771,323208,328612,334152,339775,345491,351266,357173,363158,369267,375700,382052,388457,395008,401737,408455,415333,422426,429656,436857,444418,451911,459754,467464,475478,483475,491655,499942,508249,516902,525819,534750,543914,553314,562842,572233,581985,591598,601577,611569,621877,632242,642741,653401,664080,675009,686017,697115,708261,719672,731248,742726,754412,766359,778595,790555,802873,815216,827838,840629,853444,866692
1,1,1,1,1,3,4,5,7,8,10,11,13,14,17,21,23,27,30,32,33,35,38,44,49,55,56,57,57,60,65,67,73,77,80,85,92,100,103,106,107,113,114,118,123,125,134,138,141,141,144,144,148,150,152,155,157,161,165,169,171,174,178,180,185,189,191,195,203,207,210,215,220,226,231,237,253,262,270,282,292,296,306,310,318,327,334,342,351,359,370,381,389,398,407,416,424,432,441,449,455,470,482,497,503,518,538,554,566,580,588,595,609,622,639,653,666,681,705,727,743,763,776,789,801,811,825,837,853,876,894,911,934,955,992,1017,1040,1058,1078,1097,1122,1146,1162,1183,1200,1225,1254,1275,1292,1333,1352,1368,1391,1418,1435,1457,1480,1497,1525,1549,1573,1600,1628,1659,1686,1716,1763,1806,1874,1934,1999,2058,2152,2233,2341,2436,2527,2597,2690,2759,2836,2897,2969,3054,3113,3195,3247,3311,3380,3440,3507,3562,3611,3671,3739,3789,3838,3889,3951,4016,4071,4139,4192,4252,4311,4382,4462,4544,4622,4721,4788,4863,4953,5055,5128,5203,5277,5352,5447,5532,5615,5693,5774,5835,5915,5992,6066,6132,6189,6254,6317,6383,6441,6509,6583,6650,6708,6784,6849,6918,6996,7058,7123,7182,7248,7328,7390,7454,7518,7567,7629,7698,7760,7834,7895,7966,8024,8088,8167,8231,8297,8359,8448,8514,8596,8671,8755,8831,8917,9012,9108,9209,9330,9437,9549,9655,9787,9918,10037,10175,10308,10417,10541,10670,10829,10989,11147,11313,11470,11641,11819,11989,12185,12359,12558,12763,12966,13164,13394,13614,13812,14035,14269,14527,14761,15012,15251,15497,15730,16009,16293,16575,16840,17144,17418,17743,18074,18404,18736,19105,19471,19833,20243,20644,21095,21544,21971,22525,23000,23551,24136,24779,25455,26143,26806,27458,28201,28899,29550,30296,31029,31758,32524,33302,34073,34848,35627,36423,37263,38090,39030,39880,40829,41763,42679,43608,44532,45444,46436,47382,48337,49362,50345,51437,52455,53553,54611,55753,56901,58116,59325,60485,61685,62908,64164,65386,66610,67830,69110,70355,71557,72861,74185,75504,76841,78208,79559,80808,82193,83526,84870,86291,87711,89117,90567,92062,93572,95027,96589,98129,99655,101341,103055,104821,106535,108336,110131,112002,113934,115826,117828,119861,121930,124006,126160,128305,130509,132831,135193,137510,139891,142282,144740,147233,149673,152193,154658,157234,159857,162602,165411,168291,171160,174161,177181,180297,183455,186689,189908,193204,196468,199775,203232,206792,210507,214217,217957,221838,226048,230101,234153,238313,242579,246932,251358,255955,260634,265465,270302,275286,280401,285772,291063,296418,302026,307827,313406,319173,325036,330975,336979,343211,349419,355619,361950,368381,374915,381518,388284,395115,402067,409202,416465,423674,430951,438500,445966,453564,461370,469286,477219,485381,493530,501786,510258,518749,527373
1,1,1,3,3,3,3,4,4,6,7,12,14,17,20,22,27,28,33,34,39,39,44,46,46,48,51,55,58,59,63,68,71,86,92,96,98,103,107,114,117,122,130,132,139,151,156,164,169,180,187,191,201,209,219,225,229,239,244,254,261,272,283,290,300,309,321,334,352,362,378,397,418,435,445,455,468,487,503,522,543,570,591,607,625,650,673,688,711,734,769,798,828,863,891,923,954,982,1016,1043,1070,1095,1135,1166,1195,1226,1255,1277,1307,1338,1365,1401,1432,1465,1493,1520,1551,1583,1609,1631,1664,1699,1737,1779,1833,1870,1917,1966,2024,2066,2128,2188,2260,2321,2392,2463,2530,2607,2683,2756,2833,2894,2974,3063,3136,3224,3308,3414,3500,3589,3696,3797,3894,4012,4102,4197,4300,4406,4532,4653,4752,4862,4966,5082,5178,5290,5408,5537,5666,5799,5933,6096,6245,6384,6529,6686,6839,7008,7181,7335,7499,7683,7841,8015,8206,8382,8596,8823,9017,9194,9404,9580,9740,9931,10120,10328,10546,10790,11001,11232,11458,11678,11941,12187,12470,12740,13003,13291,13611,13894,14210,14527,14869,15205,15544,15889,16204,16520,16878,17231,17583,17950,18299,18680,19039,19432,19817,20228,20665,21068,21480,21899,22335,22817,23371,23917,24460,24979,25515,26106,26655,27261,27845,28435,29035,29605,30219,30850,31466,32095,32677,33307,33937,34598,35327,36010,36677,37371,38104,38819,39533,40261,40964,41675,42458,43197,43958,44777,45570,46401,47224,48101,48912,49779,50670,51542,52497,53466,54512,55584,56693,57768,58860,59996,61134,62288,63550,64850,66140,67421,68751,70213,71709,73203,74767,76270,77859,79414,81042,82703,84365,86151,88009,89830,91727,93707,95754,97822,100051,102247,104462,106661,108977,111456,113847,116344,118868,121288,123929,126513,129219,131920,134694,137432,140205,143127,146083,149184,152221,155234,158479,161725,165042,168434,171894,175429,179045,182614,186414,190342,194261,198352,202434,206613,210988,215371,219876,224454,229308,234109,238920,244049,249140,254422,259919,265239,270810,276521,282242,288070,293881,299858,305932,312015,318286,324636,330903,337374,343966,350782,357725,364640,371722,378862,386105,393296,400798,408224,415883,423654,431454,439438,447332,455609,464117,472610,481119,489932,498863,507829,517068,526408,535898,545466,555248,565296,575263,585243,595409,605638,616187,626629,637340,647990,658782,669678,680862,692040,703294,714714,726237,737766,749628,761374,773520,785758,798096,810580,823241,836154,849422,862605,875892,889270,902997,916552,930709,944872,959246,973718,988127,1002801,1017301,1032535,1047550,1062771,1078420,1094367,1110204,1126303,1142570,1159056,1175684,1192458,1209165,1226140,1243550,1261107,1278650,1296350,1314266,1332255,1350429,1368789,1387295,1405649,1424223,1442903,1461759,1480767,1499834,1518883,1537998,1557206,1576630,1596024,1615624,1635367,1655235,1675234,1695194,1715388,1735594,1755713,1776268,1797244,1817826,1838969,1860208,1881509,1902764,1924264,1945983,1967533,1989183,2010953,2032860,2054775,2076874,2099276,2121359,2143662,2165963,2188245,2210777,2233591,2256322
1,1,2,2,2,4,7,7,8,13,14,16,17,22,25,25,27,29,35,40,47,52,52,55,59,67,74,79,87,93,100,108,114,117,124,129,134,141,145,149,158,163,174,183,196,203,205,209,219,233,246,265,283,292,306,327,354,369,399,417,433,451,469,494,517,535,551,560,593,621,656,678,713,733,755,790,806,830,851,881,911,938,965,1000,1045,1079,1130,1180,1210,1253,1301,1350,1399,1449,1505,1561,1608,1657,1710,1768,1816,1853,1926,1994,2067,2136,2207,2246,2315,2382,2450,2540,2627,2707,2795,2886,2981,3075,3167,3275,3364,3470,3569,3687,3802,3903,4018,4131,4252,4362,4504,4610,4726,4848,4977,5134,5278,5413,5570,5735,5878,6019,6190,6379,6548,6739,6921,7109,7308,7514,7763,7991,8193,8461,8697,8966,9251,9504,9816,10076,10317,10625,10943,11267,11587,11956,12321,12697,13089,13479,13890,14366,14800,15253,15660,16119,16584,17039,17534,18037,18572,19106,19613,20182,20722,21258,21812,22370,22963,23570,24151,24738,25365,26015,26654,27345,28064,28722,29444,30197,30910,31659,32440,33189,34009,34788,35628,36546,37419,38309,39270,40209,41150,42077,43110,44128,45087,46101,47154,48208,49273,50383,51510,52629,53741,54957,56089,57331,58521,59724,60913,62159,63414,64728,66040,67434,68922,70431,71965,73436,75013,76602,78191,79825,81560,83221,84969,86673,88435,90339,92168,93979,95811,97827,99775,101862,103934,106030,108241,110377,112684,114954,117316,119703,122101,124647,127159,129763,132372,135077,137838,140583,143344,146176,149117,152179,155192,158309,161362,164484,167705,170921,174278,177578,180940,184364,187783,191265,194826,198464,202126,205982,209896,213907,217944,222125,226322,230690,235251,239799,244515,249327,254163,259118,264245,269343,274594,279773,285169,290699,296369,301923,307648,313433,319424,325442,331560,337752,343962,350271,356712,363369,369880,376565,383278,390275,397258,404547,411863,419358,426878,434508,442255,450120,458004,465998,474073,482373,490680,499225,507878,516572,525654,534918,544118,553510,563206,572693,582428,592077,601985,612066,622119,632613,643089,653761,664686,675736,686783,697785,709124,720541,732056,743802,755373,767282,779243,791365,803858,816079,828889,841383,854111,867428,880677,894091,907786,921240,934959,948821,962958,977184,991597,1006195,1020851,1035651,1050552,1065576,1080827,1096252,1111931,1127532,1143494,1159748,1176087,1192357,1208979,1225744,1242408,1259387,1276617,1293595,1310859,1328078,1345689,1363242,1381202,1399179,1417251,1435151,1453781,1472161,1490710,1509709,1528824,1548077,1567276,1586387,1605932,1625436,1645091,1664588,1684284,1704676,1724835,1745018,1765297,1785618,1806252,1826731,1847261,1868212,1889071,1910279,1931593,1953200,1974739,1996556,2018456,2040648,2062856,2085349,2107881,2130454,2153290,2175796,2198515,2221274,2244135,2267103,2290371,2313622,2337163,2360940,2384510,2408130,2431665,2455308,2479360,2503254,2527215,2551214,2575395,2599451,2623541,2647859,2671933,2696120,2720711,2745252,2769766,2794479,2818853,2843830,2868642,2893420,2918699,2943913,2969085,2994296,3019468,3045000,3070390,3095927,3121474,3147163,3172892,3198710,3224390,3250335,3276547,3302663,3329032,3355420,3382046,3408530,3435484
1,1,1,1,2,4,6,7,9,11,11,14,16,19,23,28,31,34,37,40,45,49,54,61,64,70,73,78,84,87,89,93,101,109,116,125,126,132,139,145,151,161,169,177,180,182,189,195,200,207,217,222,227,234,239,246,252,261,268,275,283,286,292,298,308,318,322,328,341,344,350,353,358,366,374,386,388,398,404,410,415,425,434,444,449,452,463,472,484,498,507,516,527,536,545,550,559,568,578,593,603,612,614,624,635,649,656,664,671,679,693,701,703,710,721,729,739,749,755,761,768,773,779,786,792,796,806,808,817,828,833,837,847,857,862,873,881,887,889,895,898,902,905,909,912,916,922,927,930,935,939,942,950,954,958,965,973,979,987,993,1001,1007,1012,1020,1026,1037,1057,1065,1080,1096,1119,1138,1161,1187,1222,1261,1306,1359,1406,1457,1523,1585,1662,1763,1849,1922,1991,2068,2142,2228,2306,2373,2421,2478,2551,2619,2704,2778,2857,2933,3005,3084,3169,3263,3336,3443,3586,3733,3899,4060,4217,4386,4575,4770,4977,5189,5379,5583,5734,5909,6105,6281,6478,6691,6891,7087,7320,7504,7720,7950,8166,8394,8596,8811,9064,9246,9485,9690,9924,10156,10392,10612,10850,11097,11329,11570,11785,12036,12236,12442,12651,12881,13137,13356,13595,13842,14084,14363,14621,14894,15166,15434,15701,15979,16241,16528,16802,17100,17384,17638,17919,18184,18485,18757,19026,19335,19645,19918,20200,20496,20792,21082,21416,21756,22066,22414,22711,23041,23362,23686,24025,24344,24696,25089,25469,25863,26224,26590,27014,27424,27805,28222,28648,29061,29509,29974,30404,30825,31270,31726,32183,32701,33213,33717,34225,34723,35269,35782,36313,36880,37465,38107,38714,39355,40004,40652,41313,42033,42744,43515,44279,45123,45923,46789,47650,48571,49554,50485,51450,52460,53438,54483,55516,56568,57667,58762,59936,61121,62257,63457,64646,65776,66981,68238,69548,70863,72159,73447,74868,76268,77712,79121,80563,82067,83522,85073,86633,88186,89832,91498,93233,94937,96683,98566,100419,102313,104156,106094,108135,110247,112362,114545,116843,119235,121642,124028,126518,129026,131577,134218,136800,139595,142418,145281,148222,151184,154304,157491,160770,164048,167429,170968,174538,178343,182230,186188,190108,194199,198449,202768,207154,211556,216119,220659,225321,230091,234933,239839,244844,249838,254958,260159,265619,271182,276874,282484,288230,293970,299827,305940,311906,318155,324413,330823,337500,344160,350884,357772,364597,371572,378616,385819,393154,400600,408169,415846,423808,431734,439797,448129,456529,465040,473628,482360,491442,500509,509786,519498,529191,539149,549031,559040,569252,579371,589521,600273,610902,621585,632351,643199,653939,664944,676091,687342,698582,709960,721738,733280,745175,757092,769236,781446,793576,805990,818583,831336,844375,857359,870671,883988,897626,911253,925175,939406,953919,968338,983272
1,1,1,1,2,2,4,5,6,6,8,11,15,17,20,21,21,26,29,31,33,35,38,39,41,43,45,49,51,58,63,64,69,72,76,82,90,93,100,102,103,109,114,116,125,131,137,142,147,151,161,162,165,166,169,180,191,197,208,216,226,231,237,245,257,261,272,281,290,302,311,322,334,350,367,380,394,405,425,440,458,470,488,508,528,542,556,567,587,604,621,641,661,677,693,711,726,743,752,767,779,803,820,833,850,871,891,904,916,941,964,979,998,1017,1044,1064,1087,1108,1126,1151,1183,1211,1241,1278,1312,1346,1382,1419,1458,1489,1531,1573,1615,1658,1707,1747,1792,1845,1892,1941,1988,2038,2088,2143,2195,2242,2297,2348,2404,2453,2496,2537,2593,2643,2698,2751,2797,2842,2883,2922,2970,3008,3057,3103,3138,3186,3230,3271,3318,3360,3405,3455,3494,3530,3583,3624,3661,3709,3750,3808,3849,3920,3979,4052,4112,4173,4243,4300,4377,4451,4529,4606,4684,4751,4825,4908,4992,5068,5147,5217,5292,5367,5445,5522,5582,5673,5742,5833,5903,5971,6042,6121,6192,6282,6367,6422,6491,6569,6659,6746,6820,6906,6981,7064,7162,7245,7326,7400,7490,7576,7676,7764,7849,7934,8024,8106,8186,8285,8375,8472,8570,8666,8748,8835,8920,9021,9101,9214,9304,9412,9523,9621,9719,9828,9948,10052,10168,10286,10413,10543,10663,10795,10944,11081,11213,11348,11487,11627,11763,11920,12078,12234,12434,12646,12836,13025,13222,13401,13620,13817,14013,14235,14453,14661,14934,15176,15429,15637,15881,16112,16383,16636,16883,17161,17453,17735,18031,18295,18610,18915,19211,19568,19953,20281,20570,20940,21321,21663,22043,22452,22841,23212,23622,24051,24476,24890,25331,25762,26190,26581,27005,27444,27876,28328,28776,29248,29710,30203,30704,31206,31733,32271,32822,33394,33930,34541,35170,35775,36412,37043,37694,38363,39048,39790,40488,41198,41890,42614,43352,44107,44836,45640,46491,47373,48245,49101,50037,50963,51866,52773,53732,54649,55679,56668,57720,58762,59834,60978,62061,63263,64440,65702,66921,68241,69613,70958,72405,73811,75307,76843,78432,80035,81656,83336,85036,86790,88655,90542,92428,94281,96260,98212,100262,102387,104566,106701,108890,111082,113357,115710,117948,120290,122685,125191,127699,130167,132778,135438,138095,140979,143794,146641,149528,152528,155512,158685,161713,164884,167982,171209,174442,177739,181127,184436,187799,191266,194911,198587,202207,205913,209660,213543,217474,221490,225574,229699,233945,238132,242400,246905,251495,256010,260636,265348,270158,275067,279849,284821,289894,295063,300240,305580,310921,316381,321934,327645,333234,339039,344892,350763,356946,363199,369440,375885,382348,389055,395869,402833,409828,417006,424289,431888,439553,447425,455381,463338,471519,479766,488121,496677,505272,514050,523063,532053,541199,550400,559801,569367,579081,588877,598923,608957,619333,629960,640705,651485,662491
1,1,1,1,1,1,1,2,3,3,3,3,3,4,6,7,9,10,12,15,20,22,24,29,39,40,42,49,54,60,67,67,76,81,86,92,98,103,110,114,117,122,126,128,133,136,141,144,151,154,165,171,180,187,190,199,202,204,213,218,226,233,236,245,250,257,262,266,267,268,270,276,279,283,290,292,296,302,309,313,316,322,327,330,337,341,343,348,356,360,368,377,382,387,392,398,408,418,423,429,440,456,471,480,495,502,514,529,546,559,574,587,600,609,626,638,654,679,709,723,740,755,770,790,818,836,847,857,869,883,895,910,923,941,955,969,985,997,1009,1026,1040,1048,1057,1064,1077,1093,1103,1116,1130,1150,1169,1184,1197,1215,1237,1265,1285,1310,1329,1352,1374,1399,1421,1451,1493,1526,1567,1597,1622,1660,1704,1741,1779,1813,1852,1890,1940,1987,2047,2083,2121,2175,2234,2290,2342,2392,2452,2531,2610,2696,2767,2847,2957,3030,3111,3203,3308,3398,3499,3595,3702,3804,3927,4054,4175,4293,4440,4573,4708,4851,5024,5183,5365,5581,5785,5992,6197,6459,6724,7008,7272,7512,7833,8129,8448,8734,9044,9336,9639,9990,10316,10654,10984,11297,11622,11988,12357,12745,13121,13542,13949,14365,14861,15292,15733,16209,16636,17046,17523,17993,18438,18889,19335,19779,20227,20730,21235,21741,22262,22772,23294,23870,24444,24992,25575,26172,26744,27289,27871,28487,29058,29635,30232,30829,31432,32026,32637,33201,33842,34478,35164,35785,36464,37141,37835,38561,39262,40019,40747,41526,42253,43008,43771,44537,45274,46050,46854,47692,48531,49379,50262,51113,52012,52890,53804,54734,55633,56519,57423,58439,59411,60454,61438,62529,63599,64680,65793,66929,68110,69348,70550,71747,72953,74202,75448,76752,78066,79526,80835,82212,83618,85018,86491,87976,89520,91055,92702,94319,95950,97638,99361,101046,102733,104531,106363,108230,110108,111998,113979,115985,118040,120075,122144,124182,126173,128256,130404,132465,134573,136751,139015,141273,143585,145884,148244,150669,153114,155504,158006,160464,162877,165454,167997,170628,173265,175880,178561,181344,184125,187051,189933,192809,195801,198865,201988,205125,208314,211648,215014,218466,222065,225720,229409,233128,236899,240707,244489,248385,252377,256330,260408,264483,268603,272897,277147,281356,285653,290003,294435,298863,303370,307939,312550,317153,321912,326625,331415,336339,341255,346197,351202,356313,361395,366508,371806,377197,382568,388065,393585,399212,404943,410766,416860,423069,429186,435484,441916,448304,454823,461486,468119,474967,481842,488774,495849,503072,510442,517901,525254,532866,540807,548608,556702,564896,573287,581746,590401,599148,608103,617122,626295,635588,644840,654167,663774,673595,683553,693835,704037,714306,724925,735618,746408,757451,768389,779767,791064,802551,814063,825914,837690,849547,861699,873768,885989,898541,911226,923765,936331,949129,962410,975564,988606,1002019,1015472,1029267,1042629
1,1,1,3,4,5,5,7,10,10,12,13,16,17,18,19,20,23,29,33,37,39,40,42,45,47,50,50,53,56,60,62,65,69,70,76,81,88,90,95,100,106,108,111,119,124,126,129,135,146,148,152,154,158,164,173,177,178,184,187,191,198,204,211,214,222,230,237,242,251,260,269,277,289,295,299,304,312,318,323,334,342,350,359,367,372,377,384,392,393,400,407,419,431,451,459,466,478,488,505,514,525,539,553,566,579,596,605,613,628,642,650,663,675,677,687,702,717,726,733,743,751,764,777,788,796,800,812,820,830,849,863,875,884,895,902,911,924,932,947,957,963,973,991,1008,1016,1034,1048,1056,1066,1082,1095,1111,1127,1136,1155,1174,1191,1209,1224,1246,1269,1289,1314,1334,1351,1377,1401,1420,1450,1486,1523,1556,1590,1612,1653,1681,1716,1758,1790,1818,1851,1892,1926,1963,2004,2041,2074,2112,2149,2190,2218,2255,2281,2327,2373,2399,2440,2480,2527,2565,2596,2640,2683,2725,2761,2795,2831,2873,2901,2941,2977,3019,3069,3102,3141,3185,3230,3274,3322,3371,3399,3432,3483,3532,3571,3623,3667,3715,3759,3816,3862,3907,3949,4010,4055,4107,4166,4235,4301,4384,4461,4539,4615,4681,4769,4845,4903,4971,5053,5131,5208,5277,5349,5433,5516,5602,5691,5790,5871,5968,6052,6119,6207,6295,6372,6468,6562,6650,6743,6849,6970,7053,7159,7254,7358,7457,7556,7659,7783,7895,8019,8135,8278,8420,8567,8707,8850,9011,9167,9285,9454,9659,9860,10087,10260,10467,10682,10900,11132,11379,11637,11851,12077,12302,12542,12781,13064,13312,13571,13848,14120,14384,14649,14928,15212,15466,15740,16041,16307,16587,16855,17113,17369,17626,17926,18207,18509,18782,19069,19362,19680,19995,20319,20615,20917,21257,21592,21924,22293,22666,23009,23390,23760,24131,24529,24892,25300,25680,26074,26475,26882,27291,27666,28083,28525,28911,29329,29801,30252,30706,31110,31544,31992,32439,32904,33364,33804,34298,34838,35336,35841,36397,36964,37530,38123,38718,39306,39950,40606,41238,41901,42564,43249,43961,44652,45358,46133,46916,47750,48570,49356,50185,51069,51971,52893,53838,54802,55755,56729,57711,58758,59755,60904,62030,63147,64252,65451,66666,67875,68992,70163,71359,72578,73829,75132,76423,77784,79157,80499,81880,83309,84712,86224,87763,89282,90858,92411,94001,95604,97241,98900,100561,102298,104024,105807,107654,109492,111346,113148,115074,116964,118962,120929,123022,125117,127148,129275,131448,133678,135915,138212,140525,142946,145306,147801,150361,152839,155493,158219,160904,163732,166664,169575,172524,175526,178541,181559,184690,187928,191139,194496,197864,201415,204862,208501,212223,216065,219905,223849,227788,231927,236142,240418,244788,249304,253842,258410,263152,267972,272845,277863,283114,288460,293693,299041,304535
1,1,1,1,1,1,1,3,3,5,7,7,9,10,10,10,11,15,18,22,25,25,27,27,29,30,34,40,42,48,53,54,58,58,61,68,70,72,74,77,78,81,88,90,96,99,109,113,126,132,137,140,144,150,155,165,172,179,183,190,196,200,207,214,219,226,234,245,252,261,269,276,283,286,295,306,320,330,342,350,365,375,395,404,417,428,444,459,479,499,509,521,544,557,583,609,625,643,668,688,706,729,744,759,777,801,832,847,869,892,917,936,964,979,999,1022,1041,1075,1105,1133,1150,1179,1193,1216,1241,1258,1277,1288,1308,1328,1349,1378,1394,1412,1443,1466,1494,1511,1529,1553,1568,1600,1631,1662,1691,1718,1752,1776,1800,1833,1872,1896,1920,1959,1992,2025,2059,2087,2113,2146,2178,2210,2242,2273,2313,2338,2372,2407,2447,2478,2515,2546,2598,2622,2662,2703,2743,2780,2821,2870,2907,2946,2990,3033,3086,3127,3165,3223,3267,3316,3363,3406,3464,3512,3581,3649,3714,3765,3801,3855,3919,3981,4034,4097,4171,4230,4282,4353,4411,4490,4578,4662,4733,4821,4900,4994,5075,5157,5254,5371,5466,5565,5668,5813,5936,6059,6193,6337,6496,6662,6821,6966,7094,7247,7392,7581,7720,7885,8040,8220,8386,8530,8684,8839,8986,9180,9325,9458,9621,9797,9975,10160,10345,10595,10835,11066,11336,11639,11945,12256,12550,12836,13163,13501,13847,14186,14538,14941,15310,15667,16052,16423,16833,17268,17747,18238,18709,19163,19629,20090,20589,21080,21591,22137,22678,23229,23817,24400,25001,25580,26159,26761,27396,28001,28602,29235,29856,30542,31188,31827,32540,33227,33966,34706,35500,36217,36992,37824,38667,39521,40406,41271,42211,43197,44147,45094,46163,47242,48271,49434,50509,51723,53005,54293,55605,56951,58258,59639,61027,62408,63799,65248,66714,68174,69663,71156,72595,74083,75548,77051,78618,80073,81622,83189,84866,86468,88082,89669,91291,92916,94529,96332,98104,99910,101684,103467,105278,107135,109106,111093,113103,115277,117429,119535,121695,123906,126198,128485,130806,133179,135649,138163,140746,143406,146028,148762,151600,154423,157413,160382,163387,166443,169538,172621,175801,178946,182260,185552,188895,192195,195629,199152,202709,206242,209911,213665,217359,221103,224788,228795,232797,236795,240937,245113,249268,253431,257704,262069,266606,271129,275745,280557,285261,290063,294892,299862,304948,310097,315393,320768,326257,331865,337547,343401,349374,355451,361635,367924,374310,380851,387705,394462,401230,408214,415327,422681,430238,437888,445637,453819,462017,470344,478870,487417,496072,504990,514088,523253,532396,541799,551313,560932,570746,580719,590778,601017,611268,621620,632446,643350,654106,665278,676400,687671,699164,710746,722523,734378,746493,758873,771516,784159,796961,810080,823051,836277,849603,863332,876991,890756,904634,918764,933026,947354,961840,976378,991361,1006252,1021153,1036217,1051548,1066629,1082088,1097346,1112754,1128826,1144727
1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,8,9,12,13,16,17,20,22,24,25,25,27,31,39,42,44,46,48,50,50,51,53,57,63,68,72,74,79,79,82,87,93,98,103,106,110,113,117,119,121,125,129,134,135,140,144,148,152,153,156,160,163,165,169,172,175,176,177,180,181,184,185,188,191,195,197,199,200,203,208,212,213,216,219,221,223,226,231,233,235,239,244,251,255,261,265,268,272,277,280,290,296,303,308,317,319,324,330,342,349,357,367,378,388,396,408,417,426,435,441,457,471,485,492,504,509,517,527,540,548,556,567,576,588,601,614,639,657,666,683,702,719,729,752,767,781,791,813,828,845,858,888,904,919,946,964,981,1000,1013,1042,1059,1080,1104,1122,1141,1163,1191,1214,1234,1264,1287,1310,1342,1376,1401,1436,1471,1500,1522,1554,1580,1601,1641,1683,1712,1761,1796,1842,1878,1924,1978,2021,2071,2104,2161,2200,2241,2292,2339,2372,2408,2453,2500,2552,2613,2658,2710,2749,2801,2857,2904,2954,2999,3043,3100,3145,3187,3243,3290,3348,3404,3451,3503,3544,3618,3692,3755,3816,3874,3952,4028,4089,4173,4249,4335,4417,4501,4584,4660,4753,4845,4949,5053,5164,5254,5355,5460,5554,5671,5782,5879,5992,6101,6196,6312,6415,6535,6659,6764,6876,7019,7133,7263,7402,7523,7683,7825,7972,8125,8255,8380,8540,8707,8862,9028,9200,9398,9556,9734,9901,10075,10251,10406,10595,10754,10929,11112,11284,11436,11621,11796,11971,12169,12363,12575,12767,12985,13174,13404,13610,13817,14043,14252,14454,14689,14939,15189,15421,15669,15901,16156,16403,16684,16973,17231,17526,17832,18144,18449,18723,19016,19321,19637,19955,20288,20609,20938,21239,21580,21908,22262,22601,22962,23301,23656,24031,24409,24772,25178,25606,26030,26459,26873,27294,27718,28187,28616,29069,29536,30053,30580,31116,31667,32242,32804,33385,34042,34642,35265,35922,36650,37331,38072,38803,39546,40290,41038,41846,42666,43494,44331,45225,46123,46999,47981,48955,49924,50921,51962,52937,53943,55072,56173,57273,58456,59686,60962,62272,63525,64852,66166,67622,69082,70621,72102,73719,75318,76935,78725,80517,82218,84065,85929,87792,89752,91710,93573,95546,97640,99678,101720,103914,106033,108162,110370,112612,114944,117357,119668,122077,124506,126945,129553,132101,134760,137378,140212,143147,145988,148947,151889,154950,158002,161225,164436,167725,171045,174436,177839,181381,185056,188681,192447,196235,200162,204238,208384,212466,216759,220963,225450,229808,234364,239025,243637,248376,253243,258023,263031,268181,273410,278635,283959,289221,294649,300072,305685,311329,317141,322980,328825,334831,340920,347142,353297,359526,365895,372276,378939,385571,392166,398916,405760,412604,419530,426763,434033,441285,448763,456402,464029,471555
1,1,2,4,5,8,12,15,15,16,19,19,19,21,21,23,26,30,31,37,39,41,42,43,47,49,49,50,50,50,51,54,59,62,64,67,69,75,80,87,91,94,99,106,109,114,118,125,128,132,135,138,140,143,144,152,157,160,161,166,172,179,185,192,201,208,216,224,228,233,247,258,262,270,285,298,305,317,329,335,345,354,363,375,396,410,424,440,456,478,494,515,537,555,564,585,612,634,663,688,706,728,753,771,796,820,841,866,898,923,952,991,1025,1060,1086,1104,1132,1159,1190,1217,1242,1274,1308,1335,1358,1389,1426,1447,1480,1513,1548,1574,1606,1638,1673,1708,1743,1786,1823,1864,1902,1944,1986,2019,2052,2105,2152,2205,2258,2322,2374,2426,2477,2515,2567,2614,2673,2718,2780,2835,2884,2943,2995,3059,3116,3173,3232,3296,3356,3417,3498,3573,3663,3732,3810,3893,3990,4086,4191,4302,4429,4555,4692,4826,4954,5096,5250,5404,5545,5677,5827,5974,6141,6313,6461,6624,6784,6941,7103,7272,7456,7642,7842,8032,8266,8487,8694,8914,9138,9382,9640,9864,10127,10396,10714,11023,11352,11657,11946,12281,12592,12944,13305,13662,14011,14361,14719,15082,15437,15851,16230,16656,17105,17495,17899,18296,18738,19160,19589,20085,20498,21021,21468,21936,22411,22962,23495,24043,24605,25160,25765,26355,26973,27634,28279,28944,29601,30268,30979,31750,32491,33231,33992,34842,35622,36449,37278,38109,39018,40009,40915,41931,42867,43936,44976,46071,47227,48295,49449,50535,51737,52940,54105,55321,56590,57773,59083,60403,61742,63068,64457,65876,67264,68703,70137,71667,73130,74650,76239,77876,79537,81286,82996,84765,86623,88479,90380,92210,94080,96100,98112,100212,102255,104388,106526,108606,110872,113132,115498,117886,120268,122701,125021,127457,130059,132616,135204,137820,140450,143177,145882,148537,151369,154237,157189,160071,163034,166036,169174,172333,175645,178873,182242,185641,189215,192903,196629,200458,204316,208260,212104,216172,220193,224484,228719,232935,237414,242045,246583,251167,255722,260406,265213,270021,275165,280391,285631,290952,296374,301833,307344,312958,318532,324273,330034,335911,341825,347897,353960,360067,366369,372643,379063,385572,392191,398895,405805,412811,419987,427172,434538,441862,449424,457170,465032,472798,480864,489067,497294,505759,514322,522911,531619,540512,549639,558750,567879,577147,586486,596214,605790,615620,625559,635495,645406,655797,666034,676549,687018,697729,708838,719768,730845,742319,753670,765513,777506,789487,801546,813662,826051,838790,851535,864459,877407,890754,904036,917374,930756,944539,958098,971896,986076,1000171,1014688,1029237,1043896,1058831,1073666,1088488,1103525,1118898,1134286,1149964,1165432,1181243,1197275,1213197,1229524,1246167,1262875,1279599,1296621,1313479,1330676,1347772,1365145,1382869,1400501,1418183,1435984,1453996,1471970,1490237,1508528,1526988,1545715,1564612,1583577,1602956,1622494,1641955,1661540,1681531,1701676,1721858,1742005,1762481,1782873,1803469,1824445,1845034,1865998,1887010,1908389,1929878,1951376
1,1,1,1,1,3,5,5,8,10,10,13,14,15,18,23,27,29,31,36,42,45,49,53,56,59,64,69,72,74,79,86,98,106,113,118,124,130,135,140,152,157,168,180,193,201,212,223,237,251,267,281,298,329,343,358,374,402,426,451,484,501,518,536,557,580,594,606,622,636,654,676,703,717,731,751,769,794,820,835,858,882,913,944,971,1002,1050,1084,1116,1156,1190,1244,1304,1357,1412,1484,1544,1611,1657,1710,1757,1818,1869,1925,1981,2032,2083,2118,2164,2211,2259,2305,2344,2384,2428,2474,2516,2562,2604,2641,2698,2733,2779,2837,2878,2920,2974,3040,3090,3139,3197,3244,3312,3385,3442,3506,3581,3652,3720,3793,3869,3958,4053,4132,4250,4330,4427,4529,4630,4746,4855,4962,5085,5206,5330,5461,5571,5694,5832,5947,6078,6228,6374,6498,6622,6771,6936,7099,7275,7404,7550,7729,7879,8048,8218,8405,8581,8747,8937,9154,9362,9565,9788,10024,10235,10479,10669,10898,11170,11400,11634,11849,12110,12374,12647,12921,13225,13517,13787,14092,14410,14708,14990,15305,15607,15956,16278,16683,17053,17429,17814,18209,18621,18981,19358,19747,20154,20582,21047,21495,21964,22472,22957,23450,23957,24441,24947,25490,26019,26561,27133,27685,28257,28824,29400,29971,30553,31068,31672,32286,32912,33518,34120,34752,35375,36026,36674,37397,38128,38862,39569,40245,40983,41676,42435,43176,43927,44720,45472,46285,47126,47974,48870,49786,50690,51650,52663,53655,54667,55700,56685,57737,58767,59869,60930,62059,63194,64381,65525,66721,67918,69142,70417,71681,72986,74241,75577,76910,78325,79688,81098,82529,84037,85561,87049,88570,90165,91859,93509,95252,96941,98671,100389,102261,104090,106012,107906,109918,111905,113861,115945,118005,120097,122180,124403,126608,128845,131216,133531,135998,138308,140780,143285,145846,148488,151099,153818,156553,159362,162233,165134,168135,171114,174196,177331,180442,183719,187093,190477,193892,197411,200952,204622,208353,212244,216119,220063,224261,228276,232358,236479,240745,245049,249397,253818,258200,262800,267312,272103,276875,281604,286483,291394,296384,301475,306442,311636,316822,322095,327325,332677,338135,343508,349249,354895,360786,366584,372570,378754,385062,391340,397944,404408,411145,417795,424684,431623,438632,445688,452818,460071,467548,475246,482956,490688,498585,506545,514711,522747,531006,539444,548058,556760,565564,574446,583497,592491,601723,611132,620658,630315,640255,650025,659962,670200,680451,690750,701353,711770,722443,733425,744333,755532,766691,777941,789252,800795,812468,824329,836350,848528,860777,873491,886109,899129,912221,925467,938838,952411,966241,980064,994254,1008300,1022587,1037216,1051908,1066571,1081431,1096769,1112225,1127711,1143384,1159131,1175108,1191373,1207654,1224303,1240960,1257971,1274884,1291871,1308778,1326163,1343782,1361228,1378984,1396940,1414973,1433036,1451296,1469775,1488286,1507079,1525986,1545299,1564691,1584099,1603752,1623517,1643234,1663203,1683483,1703792,1724267,1744849,1765532,1786238,1807322,1828451,1849417,1870579,1892000,1913819,1935543,1957833,1980047,2002373
1,1,4,4,4,5,7,10,11,13,14,15,17,18,19,22,30,31,33,33,37,39,42,42,45,45,47,51,54,60,62,63,65,66,70,72,75,82,86,87,93,96,104,109,112,117,125,128,131,134,135,140,144,145,148,153,159,164,169,172,175,177,185,190,199,206,216,228,235,241,252,256,270,283,294,300,310,320,330,342,359,370,393,410,424,437,455,474,488,505,514,526,538,556,572,582,594,607,618,630,642,660,668,684,703,725,734,743,752,764,779,795,802,814,825,842,857,865,877,885,891,901,912,921,930,944,953,959,969,975,984,994,1002,1011,1019,1036,1046,1063,1080,1095,1111,1123,1136,1146,1164,1188,1212,1231,1251,1273,1296,1315,1344,1369,1401,1421,1446,1475,1495,1528,1552,1577,1602,1625,1650,1666,1698,1718,1744,1759,1776,1806,1833,1854,1873,1892,1906,1928,1965,1983,1998,2030,2046,2070,2086,2101,2120,2144,2165,2182,2205,2232,2252,2266,2279,2295,2309,2327,2341,2356,2382,2394,2402,2411,2429,2440,2449,2460,2478,2493,2502,2517,2528,2532,2540,2549,2561,2566,2573,2582,2598,2603,2613,2624,2634,2641,2649,2656,2667,2673,2681,2688,2696,2702,2713,2722,2730,2737,2742,2744,2751,2756,2757,2766,2769,2777,2780,2786,2791,2799,2807,2814,2824,2825,2831,2839,2847,2852,2856,2866,2872,2880,2885,2895,2902,2906,2913,2920,2930,2938,2944,2950,2954,2959,2962,2964,2968,2971,2971,2973,2979,2983,2986,2988,2992,2993,2995,2998,3001,3004,3008,3012,3017,3019,3022,3025,3030,3030,3036,3039,3043,3045,3049,3050,3052,3053,3056,3057,3057,3063,3064,3066,3071,3074,3079,3081,3086,3089,3091,3092,3095,3102,3109,3113,3119,3129,3131,3140,3145,3150,3155,3160,3166,3171,3173,3174,3177,3179,3181,3183,3185,3187,3189,3193,3194,3195,3199,3200,3201,3201,3202,3202,3206,3208,3209,3211,3212,3217,3218,3218,3219,3222,3225,3229,3229,3235,3239,3240,3243,3247,3251,3258,3261,3264,3269,3277,3282,3286,3290,3296,3307,3313,3320,3326,3329,3333,3341,3348,3352,3363,3370,3378,3383,3397,3411,3424,3434,3445,3458,3468,3483,3491,3502,3515,3527,3540,3560,3574,3585,3600,3613,3624,3640,3657,3668,3682,3702,3723,3741,3758,3771,3785,3791,3802,3814,3826,3844,3865,3884,3904,3924,3944,3959,3981,4001,4023,4045,4069,4092,4119,4135,4150,4173,4196,4222,4245,4269,4290,4312,4328,4358,4400,4423,4455,4486,4504,4529,4556,4577,4599,4632,4658,4690,4719,4755,4796,4822,4852,4877,4908,4943,4962,4985,5017,5044,5080,5113,5143,5178,5217,5251,5281,5309,5337,5373,5396,5429,5462,5493,5522,5558,5592,5615,5649,5685,5725,5761
1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,5,6,7,7,7,7,8,8,9,9,10,14,14,15,15,15,15,15,15,15,16,16,18,19,21,22,25,27,28,30,32,35,37,38,46,54,58,60,64,68,71,77,79,80,84,88,96,97,101,102,105,108,108,113,117,120,122,126,128,137,143,152,160,170,186,195,216,243,268,289,319,358,408,448,494,564,626,682,738,792,855,916,982,1032,1090,1126,1163,1212,1265,1327,1374,1424,1480,1528,1588,1644,1702,1760,1813,1879,1957,2044,2129,2228,2315,2390,2484,2584,2679,2764,2857,2930,2998,3071,3156,3222,3297,3355,3410,3463,3516,3566,3620,3692,3745,3805,3865,3921,3963,4018,4078,4130,4168,4211,4254,4300,4342,4394,4438,4488,4538,4584,4640,4692,4739,4794,4846,4893,4953,5003,5050,5094,5155,5200,5247,5297,5345,5394,5448,5496,5553,5597,5654,5713,5769,5814,5870,5914,5971,6027,6071,6124,6181,6226,6275,6329,6380,6444,6497,6558,6620,6675,6743,6801,6861,6910,6962,6996,7044,7116,7181,7229,7298,7357,7414,7465,7521,7587,7649,7705,7771,7828,7903,7957,8022,8104,8189,8254,8326,8397,8478,8533,8610,8684,8753,8820,8903,8989,9070,9149,9224,9302,9369,9448,9518,9608,9691,9769,9863,9943,10034,10117,10197,10287,10396,10512,10613,10733,10847,10985,11098,11217,11377,11522,11662,11795,11923,12060,12203,12332,12494,12683,12855,13022,13176,13358,13532,13696,13879,14068,14269,14473,14668,14862,15053,15263,15472,15689,15933,16164,16422,16670,16908,17167,17394,17650,17919,18184,18486,18772,19087,19375,19659,19988,20303,20634,20992,21312,21667,22042,22423,22818,23233,23657,24085,24576,25040,25539,26028,26572,27076,27609,28133,28688,29242,29806,30410,31021,31617,32266,32905,33548,34218,34906,35563,36321,37050,37790,38565,39366,40202,41104,42034,42976,43900,44906,45954,46971,48003,49104,50177,51254,52389,53528,54674,55821,56982,58186,59343,60582,61749,62956,64217,65453,66802,68146,69555,70964,72434,73933,75567,77133,78787,80516,82250,84027,85782,87664,89502,91467,93439,95526,97613,99755,101980,104286,106560,108822,111186,113608,116068,118589,121209,123721,126417,129173,131975,134892,137894,141091,144278,147390,150740,154138,157522,160990,164623,168342,172167,175951,179871,183721,187639,191642,195718,199771,204005,208314,212598,217012,221559,226047,230756,235474,240272,245173,250236,255268,260539,265857,271227,276689,282257,287838,293505,299380,305337,311464,317886,324183,330539,337062,343778,350442,357299,364242,371286,378451,385764,392991,400235,407636,415379,423162,431343,439521,447982,456459,465127,473743,482532,491526,500662,510056,519487,529153,538706,548496,558429,568563,578718,588967,599382,609725,620105,630676,641374,652006,662886,673752,684773,695860,707394,718869,730474,742207,754332,766361,778633,790944,803592,816287,829159,842483,855653,869154,882813,896421,910660,924666,939069,953281
1,1,1,3,4,4,5,5,6,9,10,12,17,18,19,20,21,24,26,26,28,31,36,40,46,48,53,58,60,62,67,69,71,76,79,81,83,85,89,96,98,104,110,114,116,117,123,126,128,132,138,142,144,147,154,156,158,159,166,172,174,175,182,184,186,187,191,197,207,209,217,221,224,230,235,242,247,254,259,268,274,283,287,294,300,309,318,329,336,343,353,364,373,379,392,404,421,436,450,461,471,480,493,510,523,541,552,572,588,604,622,647,663,683,701,721,754,774,804,828,855,879,906,922,951,981,1013,1041,1063,1083,1111,1135,1164,1194,1222,1238,1264,1285,1313,1338,1368,1392,1416,1438,1466,1493,1526,1562,1589,1614,1652,1682,1711,1760,1799,1836,1883,1926,1986,2030,2084,2138,2187,2266,2340,2415,2482,2571,2656,2765,2864,2986,3106,3226,3341,3453,3590,3705,3831,3949,4052,4166,4261,4366,4497,4629,4734,4835,4941,5028,5126,5226,5331,5423,5518,5635,5748,5870,6003,6110,6236,6360,6495,6608,6755,6916,7069,7223,7362,7525,7682,7834,7991,8146,8310,8472,8643,8846,9017,9189,9341,9541,9726,9886,10060,10259,10452,10612,10777,10945,11157,11354,11567,11761,11950,12152,12355,12554,12766,12984,13212,13424,13663,13897,14147,14385,14652,14954,15255,15515,15784,16110,16441,16812,17131,17450,17788,18127,18468,18840,19216,19626,20031,20441,20870,21282,21687,22141,22575,23050,23543,24011,24534,25083,25586,26125,26682,27260,27863,28461,29092,29718,30376,31058,31755,32464,33164,33893,34695,35501,36348,37242,38088,38888,39750,40638,41511,42409,43324,44262,45191,46151,47084,48123,49154,50258,51383,52499,53646,54826,56114,57354,58613,59994,61391,62793,64226,65701,67196,68756,70378,72064,73730,75524,77281,79113,80955,82889,84734,86709,88682,90681,92783,94863,96989,99045,101169,103342,105539,107765,110074,112426,114722,117243,119658,122119,124671,127319,130064,132835,135531,138370,141242,144101,147026,150000,153096,156125,159326,162482,165636,168902,172123,175427,178823,182157,185622,189088,192556,196125,199690,203170,206971,210720,214556,218395,222389,226448,230662,234956,239263,243635,248155,252726,257446,262183,266916,271843,276777,281820,286833,292085,297241,302633,308027,313429,318827,324358,329906,335639,341357,347148,352989,358897,365035,371188,377491,383895,390510,397249,404117,411174,418422,425765,433228,440844,448591,456361,464413,472503,480675,489296,497560,506077,514810,523671,532529,541673,550988,560341,569825,579400,588930,598813,608640,618845,629089,639218,649894,660580,671581,682609,693740,705090,716599,728222,740247,752253,764577,776698,789254,801935,814579,827599,840641,853967,867268,880822,894522,908438,922326,936618,950885,965255,979736,994422,1009244,1024028,1038878,1054176,1069575,1085064,1100701,1116467,1132473,1148351,1164444,1180849,1197399,1214000,1230783,1247454,1264277,1281442,1298853,1316203,1333850,1351694,1369619,1387651,1405725,1424005,1442447,1460883,1479689,1498598,1517760
1,1,1,1,1,6,9,9,10,12,13,13,16,18,19,26,29,32,35,37,40,51,54,59,61,70,75,81,84,91,98,103,107,112,113,115,116,117,122,125,128,128,133,139,141,142,146,149,152,154,159,163,168,176,180,183,187,192,198,209,217,222,228,229,234,241,247,256,266,273,279,288,300,310,324,329,342,344,352,357,367,377,390,400,407,414,425,431,438,445,461,475,490,500,507,519,531,543,549,564,580,590,601,609,626,643,657,671,686,707,723,738,752,770,782,802,821,837,859,879,894,914,935,948,962,974,995,1010,1024,1037,1050,1073,1090,1100,1114,1129,1143,1152,1171,1181,1201,1221,1233,1247,1269,1296,1312,1335,1356,1374,1397,1422,1437,1458,1469,1487,1506,1523,1542,1563,1588,1595,1623,1645,1675,1697,1713,1732,1761,1781,1806,1823,1848,1872,1895,1917,1940,1971,1999,2019,2047,2069,2096,2110,2137,2163,2181,2213,2242,2267,2295,2324,2352,2389,2423,2456,2489,2522,2557,2592,2621,2652,2693,2737,2775,2811,2863,2904,2947,3005,3042,3100,3158,3205,3263,3311,3359,3399,3461,3506,3561,3630,3711,3788,3850,3927,4003,4096,4176,4271,4360,4452,4561,4656,4760,4854,4962,5084,5186,5285,5385,5488,5589,5709,5812,5925,6020,6167,6301,6403,6549,6692,6839,6965,7087,7239,7370,7538,7691,7838,8017,8187,8363,8536,8693,8887,9083,9313,9532,9770,10021,10298,10551,10826,11076,11326,11599,11880,12167,12449,12705,12953,13272,13574,13871,14176,14481,14779,15066,15383,15708,16001,16307,16604,16952,17283,17586,17899,18245,18588,18946,19323,19702,20068,20418,20791,21198,21560,21962,22389,22798,23226,23626,24140,24615,25058,25548,26074,26608,27175,27791,28424,29031,29670,30291,30927,31560,32304,33001,33740,34471,35217,35971,36784,37566,38413,39260,40050,40872,41719,42592,43496,44395,45289,46161,47091,47998,48990,49919,50837,51716,52620,53554,54519,55546,56566,57554,58544,59493,60455,61436,62508,63602,64630,65713,66803,67980,69171,70287,71449,72595,73889,75107,76380,77683,79023,80371,81688,83075,84450,85925,87414,88875,90373,91843,93391,94993,96583,98204,99779,101394,103071,104810,106547,108340,110112,111921,113693,115502,117452,119315,121265,123355,125380,127491,129708,131883,134134,136384,138695,141090,143421,145875,148410,150953,153583,156242,158904,161608,164391,167247,170109,173042,176075,179009,182013,185070,188295,191480,194802,198154,201558,204829,208247,211761,215299,218821,222340,225847,229528,233186,236895,240686,244501,248447,252420,256489,260605,264918,269179,273591,278130,282639,287433,292300,297278,302214,307320,312518,317698,322963,328326,333828,339324,344934,350643,356360,362300,368346,374338,380591,386991,393621,400188,406886,413545,420300,427200,434214,441259,448290,455418,462398,469673,477093,484464,491989,499653,507311,515062,522851,530748,538877,546925,555101,563380,571648
1,1,1,1,1,2,2,3,4,6,8,10,13,13,20,22,23,25,30,32,33,35,42,45,46,53,58,61,70,72,76,78,81,85,90,96,99,106,115,117,125,130,135,137,144,148,153,154,156,158,163,167,169,172,176,179,183,188,192,199,203,208,215,225,229,233,240,248,257,262,271,277,283,289,296,303,309,317,322,328,336,345,351,356,361,366,375,382,393,401,412,420,430,440,452,460,467,475,486,492,499,508,516,530,545,562,573,582,591,603,619,640,659,678,694,714,728,744,754,769,780,788,806,817,831,850,867,878,892,908,928,944,960,980,991,999,1005,1021,1028,1043,1052,1069,1081,1097,1107,1119,1132,1144,1158,1174,1190,1204,1209,1217,1231,1243,1258,1266,1273,1287,1294,1304,1317,1329,1343,1352,1365,1374,1380,1393,1404,1422,1436,1454,1466,1482,1497,1519,1532,1551,1571,1595,1616,1647,1681,1715,1743,1776,1803,1841,1871,1909,1948,1982,2023,2061,2106,2153,2200,2259,2312,2363,2405,2463,2512,2567,2650,2705,2795,2878,2954,3039,3124,3218,3309,3393,3483,3588,3700,3827,3921,4044,4148,4267,4394,4532,4647,4796,4933,5059,5202,5344,5507,5673,5851,6058,6247,6451,6644,6855,7050,7262,7477,7684,7902,8104,8333,8530,8729,8948,9154,9367,9578,9801,10019,10232,10459,10687,10883,11112,11306,11542,11762,11982,12210,12453,12701,12934,13165,13384,13635,13910,14147,14383,14627,14890,15174,15458,15727,16021,16328,16624,16975,17327,17693,18104,18511,18904,19350,19804,20236,20722,21163,21691,22206,22760,23214,23751,24244,24785,25271,25795,26333,26891,27460,28061,28647,29259,29830,30465,31088,31727,32380,33007,33682,34369,35008,35674,36386,37105,37830,38587,39332,40089,40923,41662,42526,43351,44176,45023,45852,46805,47749,48681,49600,50523,51529,52542,53567,54651,55689,56726,57854,58933,60032,61197,62370,63532,64682,65880,67084,68305,69543,70819,72027,73335,74604,75929,77362,78739,80137,81571,82916,84361,85875,87367,88899,90496,92035,93695,95392,97036,98844,100669,102573,104475,106343,108340,110412,112593,114723,116942,119237,121563,123965,126399,128882,131501,134189,136920,139635,142543,145484,148458,151393,154430,157565,160893,164180,167522,171016,174525,178183,181816,185500,189252,193113,197045,201150,205161,209268,213349,217713,221988,226296,230691,235125,239648,244383,249159,253944,258842,263725,268938,274209,279550,284979,290639,296293,302097,308046,314104,320254,326656,333103,339663,346409,353136,360022,367146,374412,381525,388874,396285,403785,411143,418787,426429,434226,442220,450259,458409,466531,474923,483578,492090,500837,509627,518547,527936,537393,546987,556600,566400,576383,586518,596765,607314,617796,628619,639563,650618,661879,673218,684582,695976,707685,719524,731475,743738,755907,768059,780516,793036,805602,818541,831365,844631,857841,871455,885235,899189,913432,927655,942206,956787,971617
1,1,1,1,1,4,4,5,6,8,10,11,11,11,13,16,18,21,24,27,30,32,35,39,39,39,39,39,41,43,44,46,47,49,51,54,56,59,65,66,71,75,82,89,96,99,103,111,118,124,139,145,155,161,171,176,187,189,198,205,213,221,227,234,247,260,270,277,285,296,309,322,333,344,365,386,395,410,423,441,454,470,486,502,524,544,559,573,590,608,620,636,657,680,711,737,762,780,809,832,858,883,899,920,948,969,998,1019,1045,1073,1094,1116,1141,1167,1196,1215,1231,1251,1274,1289,1318,1341,1373,1389,1409,1428,1450,1477,1498,1515,1545,1572,1595,1618,1638,1656,1677,1701,1728,1754,1782,1808,1844,1867,1899,1932,1967,1995,2030,2066,2092,2125,2157,2191,2234,2279,2301,2322,2359,2398,2433,2474,2514,2545,2594,2631,2669,2704,2733,2767,2798,2845,2891,2932,2986,3032,3078,3116,3149,3195,3233,3286,3325,3369,3414,3455,3513,3568,3623,3677,3724,3776,3832,3880,3937,4008,4091,4182,4269,4367,4495,4605,4740,4887,5018,5174,5347,5502,5690,5867,6051,6273,6488,6698,6946,7209,7455,7722,7977,8229,8490,8741,9028,9300,9566,9813,10057,10316,10579,10849,11071,11331,11578,11834,12082,12357,12575,12821,13075,13315,13581,13788,14053,14326,14614,14914,15187,15454,15722,15986,16292,16546,16809,17074,17348,17625,17916,18205,18502,18788,19063,19384,19670,19965,20266,20600,20932,21226,21535,21856,22164,22511,22906,23280,23697,24129,24539,24953,25394,25853,26306,26744,27222,27703,28199,28684,29168,29728,30255,30807,31371,31941,32532,33101,33688,34258,34895,35432,36063,36699,37326,37944,38636,39329,40002,40650,41367,42104,42879,43645,44374,45108,45885,46670,47464,48307,49106,49937,50823,51725,52657,53632,54595,55601,56607,57681,58705,59787,60894,62021,63245,64380,65602,66819,68029,69314,70567,71919,73243,74583,75969,77402,78858,80292,81752,83183,84723,86303,87801,89354,90969,92586,94228,95806,97460,99203,100871,102617,104401,106212,108172,110035,111880,113741,115652,117602,119687,121779,123939,126177,128485,130834,133202,135601,138046,140590,143095,145716,148413,151060,153957,156805,159670,162661,165692,168767,171928,175288,178657,182022,185524,189149,192848,196563,200386,204306,208315,212396,216516,220656,224923,229128,233604,238285,242827,247560,252415,257184,262174,267249,272531,277979,283410,288889,294586,300301,306149,312086,318035,324258,330412,336783,343168,349714,356307,362946,369849,376702,383664,390751,398170,405440,412682,420059,427624,435304,443072,450899,458797,467123,475365,483903,492474,501138,509952,518898,528079,537270,546721,556202,565906,575866,585969,596301,606534,617105,627677,638458,649451,660455,671664,683032,694423,705985,717517,729316,741209,753238,765268,777439,789709,802255,814811,827547,840286,853302,866500,879713,893096,906665,920331,934332,948147,962390,976600,991053,1005559,1020305,1035165,1050341,1065245,1080238,1095535,1110973,1126330,1141978,1157758
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