ID,0,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100,105,110,115,120,125,130,135,140,145,150,155,160,165,170,175,180,185,190,195,200,205,210,215,220,225,230,235,240,245,250,255,260,265,270,275,280,285,290,295,300,305,310,315,320,325,330,335,340,345,350,355,360,365,370,375,380,385,390,395,400,405,410,415,420,425,430,435,440,445,450,455,460,465,470,475,480,485,490,495,500,505,510,515,520,525,530,535,540,545,550,555,560,565,570,575,580,585,590,595,600,605,610,615,620,625,630,635,640,645,650,655,660,665,670,675,680,685,690,695,700,705,710,715,720,725,730,735,740,745,750,755,760,765,770,775,780,785,790,795,800,805,810,815,820,825,830,835,840,845,850,855,860,865,870,875,880,885,890,895,900,905,910,915,920,925,930,935,940,945,950,955,960,965,970,975,980,985,990,995,1000,1005,1010,1015,1020,1025,1030,1035,1040,1045,1050,1055,1060,1065,1070,1075,1080,1085,1090,1095,1100,1105,1110,1115,1120,1125,1130,1135,1140,1145,1150,1155,1160,1165,1170,1175,1180,1185,1190,1195,1200,1205,1210,1215,1220,1225,1230,1235,1240,1245,1250,1255,1260,1265,1270,1275,1280,1285,1290,1295,1300,1305,1310,1315,1320,1325,1330,1335,1340,1345,1350,1355,1360,1365,1370,1375,1380,1385,1390,1395,1400,1405,1410,1415,1420,1425,1430,1435,1440,1445,1450,1455,1460,1465,1470,1475,1480,1485,1490,1495,1500,1505,1510,1515,1520,1525,1530,1535,1540,1545,1550,1555,1560,1565,1570,1575,1580,1585,1590,1595,1600,1605,1610,1615,1620,1625,1630,1635,1640,1645,1650,1655,1660,1665,1670,1675,1680,1685,1690,1695,1700,1705,1710,1715,1720,1725,1730,1735,1740,1745,1750,1755,1760,1765,1770,1775,1780,1785,1790,1795,1800,1805,1810,1815,1820,1825,1830,1835,1840,1845,1850,1855,1860,1865,1870,1875,1880,1885,1890,1895,1900,1905,1910,1915,1920,1925,1930,1935,1940,1945,1950,1955,1960,1965,1970,1975,1980,1985,1990,1995,2000,2005,2010,2015,2020,2025,2030,2035,2040,2045,2050,2055,2060,2065,2070,2075,2080,2085,2090,2095,2100,2105,2110,2115,2120,2125,2130,2135,2140,2145,2150,2155,2160,2165,2170,2175,2180,2185,2190,2195,2200,2205,2210,2215,2220,2225,2230,2235,2240,2245,2250,2255,2260,2265,2270,2275,2280,2285,2290,2295,2300,2305,2310,2315,2320,2325,2330,2335,2340,2345,2350,2355,2360,2365,2370,2375,2380,2385,2390,2395,2400,2405,2410,2415,2420,2425,2430,2435,2440,2445,2450,2455,2460,2465,2470,2475,2480,2485,2490,2495,2500,2505,2510,2515,2520,2525,2530,2535,2540,2545,2550,2555,2560,2565,2570,2575,2580,2585,2590,2595,2600,2605,2610,2615,2620,2625,2630,2635,2640,2645,2650,2655,2660,2665,2670,2675,2680,2685,2690,2695,2700,2705,2710,2715,2720,2725,2730,2735,2740,2745,2750,2755,2760,2765,2770,2775,2780,2785,2790,2795,2800,2805,2810,2815,2820,2825,2830,2835,2840,2845,2850,2855,2860,2865,2870,2875,2880,2885,2890,2895,2900,2905,2910,2915,2920,2925,2930,2935,2940,2945,2950,2955,2960,2965,2970,2975,2980,2985,2990,2995,3000,3005,3010,3015,3020,3025,3030,3035,3040,3045,3050,3055,3060,3065,3070,3075,3080,3085,3090,3095,3100,3105,3110,3115,3120,3125,3130,3135,3140,3145,3150,3155,3160,3165,3170,3175,3180,3185,3190,3195,3200,3205,3210,3215,3220,3225,3230,3235,3240,3245,3250,3255,3260,3265,3270,3275,3280,3285,3290,3295,3300,3305,3310,3315,3320,3325,3330,3335,3340,3345,3350,3355,3360,3365,3370,3375,3380,3385,3390,3395,3400,3405,3410,3415,3420,3425,3430,3435,3440,3445,3450,3455,3460,3465,3470,3475,3480,3485,3490,3495,3500,3505,3510,3515,3520,3525,3530,3535,3540,3545,3550,3555,3560,3565,3570,3575,3580,3585,3590,3595,3600,3605,3610,3615,3620,3625,3630,3635,3640,3645,3650,3655,3660,3665,3670,3675,3680,3685,3690,3695,3700,3705,3710,3715,3720,3725,3730,3735,3740,3745,3750,3755,3760,3765,3770,3775,3780,3785,3790,3795,3800,3805,3810,3815,3820,3825,3830,3835,3840,3845,3850,3855,3860,3865,3870,3875,3880,3885,3890,3895,3900,3905,3910,3915,3920,3925,3930,3935,3940,3945,3950,3955,3960,3965,3970,3975,3980,3985,3990,3995,4000,4005,4010,4015,4020,4025,4030,4035,4040,4045,4050,4055,4060,4065,4070,4075,4080,4085,4090,4095,4100,4105,4110,4115,4120,4125,4130,4135,4140,4145,4150,4155,4160,4165,4170,4175,4180,4185,4190,4195,4200,4205,4210,4215,4220,4225,4230,4235,4240,4245,4250,4255,4260,4265,4270,4275,4280,4285,4290,4295,4300,4305,4310,4315
1,89,89,90,91,93,96,101,107,112,116,119,119,119,118,117,116,115,115,114,113,111,108,105,103,101,99,98,96,93,90,87,84,81,80,79,79,80,80,81,81,80,80,80,81,83,88,93,98,100,101,101,101,100,101,101,102,103,105,106,107,108,108,108,108,108,108,107,107,106,104,102,100,99,99,100,101,101,101,101,101,101,101,102,102,102,102,101,100,99,98,98,100,103,107,110,113,113,111,108,104,101,99,98,99,100,101,100,98,94,92,90,89,90,92,93,95,96,96,96,95,94,92,91,90,91,92,93,95,96,97,97,97,97,97,97,97,96,95,94,92,90,88,88,89,92,96,101,108,115,121,126,127,127,125,123,119,117,115,114,113,114,115,117,118,119,118,118,117,116,116,116,118,119,121,122,122,121,118,114,109,104,99,96,94,95,98,102,107,111,115,117,117,115,110,104,97,90,85,83,83,85,90,94,97,99,99,98,94,90,86,82,80,80,82,85,88,90,92,92,93,92,92,91,90,89,89,89,90,90,91,91,91,91,91,92,93,94,95,96,96,96,95,94,93,91,91,91,91,92,92,92,93,93,94,94,94,93,90,87,83,79,77,77,79,82,85,89,91,91,90,88,87,87,89,92,96,101,106,110,112,112,109,105,100,94,88,83,77,72,68,64,61,59,58,58,58,59,60,62,64,65,67,69,71,73,75,76,77,77,76,75,74,73,72,72,71,70,70,69,68,68,68,68,68,68,67,67,67,67,68,69,70,72,74,76,78,80,80,78,76,74,71,70,69,69,69,70,70,70,70,70,70,69,68,67,65,64,63,63,64,65,65,66,66,66,66,66,66,66,67,70,74,80,85,89,91,92,94,96,100,105,108,109,108,104,99,93,88,84,83,85,89,94,98,102,105,107,108,110,111,112,112,113,113,113,113,112,111,111,109,108,108,107,106,106,105,105,104,104,103,103,102,101,101,100,100,99,98,97,97,97,98,99,99,99,99,99,98,96,95,93,92,91,91,93,96,100,106,112,118,121,120,116,110,104,100,97,97,98,99,100,102,104,108,113,117,120,120,119,116,111,104,97,90,87,87,91,97,105,112,118,121,123,122,118,112,106,100,95,93,93,94,96,98,99,100,100,100,100,99,99,98,97,96,95,95,93,92,91,90,88,87,86,87,88,90,92,94,97,101,106,110,115,117,116,112,104,94,85,79,75,75,76,78,80,83,85,87,87,88,87,86,84,82,80,80,81,82,83,84,84,83,83,83,84,85,86,86,86,87,90,94,100,107,114,119,123,124,122,119,115,110,105,100,96,93,93,93,96,100,104,108,112,115,117,117,116,113,108,101,93,86,79,73,69,66,64,65,66,69,73,76,79,82,84,86,88,89,90,90,90,90,89,87,85,82,78,75,72,71,72,74,77,80,82,83,83,83,84,85,86,85,83,80,77,75,76,79,84,90,95,97,95,91,87,84,83,84,86,89,90,92,93,95,96,97,99,100,100,101,101,101,101,100,99,99,99,101,105,111,117,122,125,125,122,117,109,101,93,86,81,79,77,77,77,77,75,74,72,71,70,70,70,71,71,72,73,73,73,74,76,78,81,84,87,89,90,90,90,90,90,91,92,92,92,92,91,90,89,89,90,90,92,94,97,99,101,101,101,101,100,99,99,99,100,100,99,98,96,93,92,92,93,96,99,102,104,106,107,106,105,103,101,99,98,98,99,101,103,105,107,108,109,109,110,110,110,109,107,105,102,99,96,93,90,88,87,87,88,89,89,90,90,90,90,89,89,89,89,89,89,88,88,87,86,85,84,82,81,80,79,81,83,86,88,88,86,83,79,76,74,75,78,84,92,100,107,113,117,120,121,121,119,115,111,107,104,102,100,99,98,97,94,91,89,87,86,88,90,93,97,99,101,101,100,98,95,93,92,91,90,91,91,92,93,95,96,97,97,97,96,95,94,92
2,63,65,67,67,68,68,69,71,73,77,81,85,89,93,94,93,90,86,83,80,79,79,80,82,85,89,92,95,98,100,102,103,104,104,105,104,103,102,99,97,94,93,92,93,94,96,99,102,104,107,109,111,113,115,116,118,120,122,124,125,127,128,128,128,127,126,124,122,120,118,116,114,113,112,113,113,113,112,111,109,107,105,102,101,99,98,98,98,98,99,100,102,104,106,107,109,109,110,111,111,110,110,109,108,107,106,105,105,104,103,102,101,101,100,100,100,100,99,99,98,98,97,96,95,94,93,92,92,91,90,90,89,89,89,88,88,88,87,87,86,86,86,86,86,86,86,86,86,86,86,85,86,87,89,91,94,96,98,97,96,94,93,94,96,99,104,108,112,116,118,121,123,125,127,129,130,131,133,135,136,138,140,141,142,142,142,142,141,141,141,141,139,136,132,127,122,117,114,111,108,107,106,106,106,106,106,106,106,105,104,102,100,98,96,95,94,93,93,93,93,93,92,91,91,91,93,95,99,103,107,111,114,115,116,116,116,115,114,112,110,108,106,104,102,101,100,99,98,97,96,95,95,95,95,96,97,97,97,97,97,97,98,100,102,105,107,108,110,111,112,114,115,115,115,113,111,109,108,107,108,109,111,113,116,118,120,122,124,125,126,127,128,130,133,136,140,144,145,146,144,142,139,136,133,129,125,122,119,116,114,112,110,109,107,106,105,103,102,101,100,98,98,97,96,96,96,96,96,96,96,96,96,96,96,96,96,95,95,95,95,95,95,95,95,96,96,96,96,96,95,95,95,94,94,93,93,92,91,91,90,90,90,91,91,92,92,93,93,94,94,94,94,93,93,93,93,93,94,94,94,94,93,94,94,94,93,93,92,91,90,90,89,89,90,92,95,99,104,108,112,114,115,114,112,109,104,100,96,92,90,88,87,87,87,88,89,90,91,91,91,91,90,90,89,88,88,88,88,88,88,89,89,89,89,89,90,92,95,99,106,115,124,132,140,145,148,150,151,151,150,149,149,148,148,146,144,141,138,133,129,125,121,118,114,110,107,104,101,99,98,97,97,96,96,96,96,95,94,93,92,91,91,91,91,91,91,90,90,90,91,91,92,92,93,93,93,93,92,91,90,90,90,91,91,92,92,92,92,91,91,90,90,89,88,87,86,85,85,85,85,86,87,88,89,92,94,97,99,101,102,102,101,99,98,97,98,98,98,98,98,97,96,95,95,95,95,96,96,97,98,99,102,107,113,120,129,138,147,155,162,166,167,167,165,161,158,154,152,152,154,158,164,170,176,181,184,185,186,186,185,184,182,178,173,167,162,158,154,151,149,147,145,143,140,136,132,128,123,118,114,111,108,106,105,103,103,102,102,101,101,101,101,102,102,103,103,104,104,104,103,102,101,100,99,98,97,97,96,96,96,95,95,94,93,93,93,94,94,95,95,95,95,95,94,94,94,94,94,94,95,96,96,97,97,98,98,99,99,100,100,101,101,102,102,103,105,106,107,107,107,107,106,105,105,105,104,103,102,100,99,97,96,94,93,92,91,92,93,95,98,101,103,105,106,105,103,101,98,95,93,90,88,86,84,83,81,81,80,79,79,78,78,78,78,79,79,79,79,79,79,78,78,78,78,79,80,81,83,84,85,86,86,87,87,87,87,88,89,92,96,101,107,114,120,125,129,131,132,132,130,127,123,118,113,108,103,99,96,96,97,100,105,109,114,118,121,123,125,129,132,136,140,143,146,148,150,151,152,152,151,148,144,138,132,127,123,122,122,124,126,129,132,134,135,134,133,130,127,124,122,120,118,117,117,116,116,116,115,114,113,111,110,109,108,107,106,105,103,102,101,100,100,100,100,101,102,105,108,113,118,122,125,126,125,124,123,121,119,116,113,111,109,109,112,117,123,129,133,135,136,136,135,135,134,133,132,130,129,128,126,123,118,112,107
3,87,89,90,91,91,90,88,86,84,83,83,84,85,86,86,87,86,86,85,85,84,83,83,82,81,80,80,80,81,81,82,82,83,83,83,82,82,81,81,82,82,82,83,83,83,83,83,83,83,83,83,82,81,80,80,79,79,80,80,80,81,81,82,82,83,83,83,82,81,80,80,79,79,79,78,78,78,78,79,79,79,80,79,79,79,78,77,77,77,79,82,86,92,98,105,114,124,134,145,154,160,161,158,150,139,128,118,110,104,100,98,97,97,98,98,99,99,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,99,99,99,98,98,98,99,99,99,99,99,99,99,99,98,98,98,98,97,97,97,97,97,98,98,97,97,98,99,102,106,113,120,129,137,146,153,159,163,166,169,171,174,176,179,181,182,183,183,182,181,179,176,172,169,165,161,158,154,150,147,144,141,139,137,135,133,131,129,126,124,122,120,118,117,117,117,118,119,120,120,120,119,117,115,111,108,104,101,98,96,94,91,89,86,82,79,77,76,76,79,83,88,95,100,104,107,108,108,109,111,113,116,118,121,123,126,127,128,128,126,123,118,113,109,105,104,103,104,106,107,108,108,107,106,104,102,100,99,98,97,97,98,100,103,106,110,114,118,120,121,120,117,113,109,106,104,102,101,101,102,103,104,105,106,108,110,112,113,115,116,118,120,121,122,123,124,125,125,126,126,126,125,124,122,121,120,119,119,119,118,118,118,118,118,117,117,117,117,117,117,116,116,115,114,113,113,112,111,110,109,108,107,106,105,104,103,103,103,103,103,103,104,104,105,105,106,106,106,106,105,104,102,100,100,102,107,114,123,131,138,143,146,149,151,151,151,148,144,138,132,125,118,112,106,102,99,96,94,92,90,89,89,90,91,91,92,92,92,93,93,93,93,93,94,94,95,95,96,97,97,96,94,93,92,90,89,87,86,85,84,85,87,89,92,94,95,96,96,97,97,97,98,98,97,96,93,89,86,83,83,85,88,91,93,93,92,90,88,88,89,90,91,91,91,89,88,86,84,81,78,76,75,76,80,83,86,88,89,91,93,96,100,106,113,121,128,134,140,146,151,157,161,165,168,170,173,174,176,176,175,173,170,166,161,156,151,145,140,134,128,123,120,119,120,122,124,126,126,125,123,121,119,117,116,116,116,116,114,112,108,104,100,96,94,93,93,93,94,95,96,97,97,98,98,98,97,96,95,94,93,92,91,91,90,89,88,88,88,89,90,91,91,91,90,89,89,88,89,92,97,104,111,118,123,127,128,129,128,126,124,121,119,118,118,119,119,119,117,114,110,105,101,99,97,99,102,107,113,117,120,122,122,121,120,118,117,115,114,113,112,111,110,109,108,108,107,106,105,103,102,101,99,98,96,94,92,90,89,88,89,91,93,97,101,104,108,110,111,110,108,105,102,98,93,90,87,84,83,83,83,84,86,87,88,89,90,90,90,89,89,88,87,86,85,86,89,94,101,110,118,124,126,124,116,107,96,86,79,74,72,71,70,69,68,67,65,64,62,61,61,64,69,75,83,89,94,96,98,98,98,98,98,98,98,98,98,98,98,99,100,100,101,101,101,101,102,102,102,101,100,99,98,98,98,98,100,102,107,113,121,129,136,141,146,150,154,157,159,161,162,161,159,157,153,149,146,143,140,137,135,134,132,131,129,128,126,122,118,115,111,109,108,108,108,109,108,107,105,103,100,98,96,95,95,95,96,98,100,103,106,109,113,115,115,115,112,109,105,101,97,94,91,89,88,87,86,86,86,86,87,88,89,89,90,92,94,96,100,105,110,114,118,121,121,119,117,113,110,107,105,105,105,106,107,107,107,105,103,100,98,95,95,96,99,103,108,112,114,114,112,109,106,104,103,104,106,108,109,110,108,107,105,104,103,103,103,103,102,101,100,100,99,99,100,101,103,104
4,107,106,104,101,99,96,93,90,89,88,88,88,89,89,90,91,91,92,92,92,92,91,91,90,90,89,87,86,85,84,84,84,85,86,87,89,90,92,94,96,98,99,100,100,98,96,93,90,87,84,81,78,76,74,72,70,69,69,69,69,70,70,71,72,72,72,72,72,72,72,73,74,75,75,75,75,74,72,71,70,69,70,70,71,72,73,74,74,73,72,71,71,70,71,71,72,73,74,74,75,75,75,75,74,74,73,72,72,71,71,71,71,72,73,74,74,75,75,74,74,74,75,77,79,82,85,87,87,84,79,73,67,64,62,64,68,74,82,90,98,104,109,111,112,111,109,106,102,97,91,85,81,78,77,77,78,79,81,83,84,85,85,86,87,88,91,93,94,94,93,91,90,88,87,86,85,85,85,85,86,87,89,90,92,92,92,91,90,89,89,91,93,96,98,100,101,100,99,97,95,94,94,95,96,96,94,92,90,87,84,83,82,83,85,87,89,90,92,93,95,98,100,100,100,98,96,94,93,92,93,94,94,94,94,93,91,90,89,87,86,84,83,82,81,80,80,81,82,83,84,85,86,85,83,80,76,73,72,72,75,80,85,91,96,100,103,104,104,103,100,95,90,84,80,78,77,78,80,83,85,86,86,85,83,81,81,82,83,85,87,90,92,94,93,91,87,83,79,76,74,72,71,70,70,71,72,74,76,78,80,81,82,81,80,78,77,75,75,75,76,77,78,79,81,82,84,84,85,85,85,85,84,84,84,84,84,85,85,85,85,85,85,85,84,83,83,82,82,81,81,82,83,83,84,85,85,85,85,84,84,84,85,87,89,91,92,94,95,95,95,95,95,95,95,95,95,95,95,95,95,95,95,96,96,96,96,96,95,94,93,92,92,92,92,92,92,92,92,92,91,90,89,88,88,89,92,96,103,111,118,123,125,125,122,117,113,109,106,104,104,104,106,107,108,109,109,108,106,103,100,96,93,90,89,89,89,90,91,92,93,93,92,91,91,91,92,93,93,92,91,88,86,83,81,80,78,78,78,79,80,81,82,84,87,91,95,99,102,104,104,103,101,99,97,96,96,96,97,97,98,98,98,98,97,98,98,99,100,101,101,100,99,98,96,94,93,91,91,92,93,95,96,98,98,98,97,96,94,91,89,87,85,85,87,89,93,98,101,104,104,101,98,94,91,87,82,77,73,69,67,66,66,67,70,74,80,87,94,100,105,108,109,108,107,105,102,101,100,100,101,102,102,102,102,102,103,103,104,104,105,104,103,100,98,95,94,95,97,100,104,107,108,108,106,102,98,94,91,88,88,89,91,93,96,99,101,103,104,104,103,103,102,101,100,99,97,96,94,92,90,89,88,87,86,85,84,83,82,82,82,82,82,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,82,81,80,79,78,78,78,78,78,79,79,80,81,81,81,81,81,80,80,80,81,83,86,90,95,99,103,105,106,106,105,105,105,106,108,109,109,109,107,105,101,97,92,88,85,83,82,83,85,86,87,87,88,89,90,90,90,88,85,81,77,73,70,67,66,66,67,68,70,71,72,72,73,73,73,73,73,73,74,74,75,75,75,75,75,75,75,75,75,76,76,76,76,76,76,76,76,76,77,78,78,78,78,79,81,84,88,92,96,100,102,104,106,108,109,109,107,104,101,98,97,97,98,100,102,105,107,109,111,111,111,110,108,105,101,96,91,86,82,80,80,81,83,85,87,88,88,88,88,87,86,86,85,84,84,83,83,81,79,77,74,71,70,69,69,70,72,73,73,73,73,72,71,71,72,73,74,74,75,75,75,74,73,73,72,72,74,77,83,91,100,110,118,124,127,127,126,125,125,126,128,130,132,134,135,136,135,134,131,127,121,113,105,96,88,82,79,78,80,82,86,90,92,94,94,94
5,90,89,89,90,90,90,90,90,90,90,91,91,92,92,92,92,92,91,91,90,89,88,88,87,86,86,86,86,86,86,85,84,82,81,81,81,82,83,84,85,85,84,83,83,84,85,86,87,88,88,87,85,84,84,84,84,84,84,83,83,83,83,83,83,82,82,82,81,80,79,79,79,79,80,81,82,82,82,82,81,80,80,79,79,79,79,79,79,78,78,79,80,82,85,87,90,92,95,97,99,102,104,106,107,108,107,106,105,104,104,104,104,104,104,104,104,103,102,100,98,96,94,92,91,91,91,92,92,92,93,92,92,92,91,91,90,90,91,92,92,93,93,93,93,92,91,91,92,94,96,99,102,104,107,108,108,108,108,108,108,108,109,109,109,108,107,105,103,101,100,100,100,100,100,100,100,100,100,100,99,99,99,99,100,101,101,102,102,102,102,102,101,101,100,99,98,97,97,97,97,97,97,97,97,96,95,94,93,92,92,92,92,92,92,92,92,92,92,91,91,91,91,91,92,92,93,93,93,93,92,92,93,94,95,96,97,98,99,99,100,101,101,100,99,97,95,95,95,97,100,104,108,112,115,117,119,120,121,122,122,122,121,119,119,118,118,118,117,115,113,110,108,105,104,104,105,107,109,111,112,112,111,109,108,106,105,103,101,100,98,96,95,94,94,95,96,97,97,98,97,95,92,89,86,84,84,83,83,83,83,83,83,83,83,83,83,84,84,84,84,84,84,84,85,85,85,85,86,86,86,86,86,86,87,87,87,87,87,87,86,85,84,82,80,78,77,76,76,77,79,81,82,83,84,84,85,85,85,85,85,86,86,86,87,87,87,87,87,87,88,88,88,89,90,91,92,92,93,93,93,92,92,92,93,94,96,99,103,106,108,109,108,107,107,106,106,106,106,106,106,106,106,106,105,105,103,101,100,98,97,96,94,93,92,91,90,90,90,90,90,90,91,91,91,91,91,92,92,92,92,92,92,92,92,93,93,94,95,95,96,96,95,95,94,94,94,94,94,95,94,94,95,96,98,100,102,105,106,107,109,110,112,113,114,115,114,113,111,109,108,106,106,106,106,107,107,107,107,107,106,106,104,103,102,101,101,101,102,102,103,103,103,103,103,103,102,102,101,100,99,97,96,95,94,93,93,92,92,93,94,95,96,97,98,98,98,98,98,98,98,97,96,95,95,94,94,94,93,93,93,94,94,94,94,93,92,92,93,95,97,99,100,100,99,98,96,96,97,98,101,104,106,108,109,109,108,106,104,102,101,100,100,101,102,103,104,105,105,106,106,106,106,106,105,105,105,104,104,104,105,106,107,108,110,110,111,111,110,109,107,106,104,103,102,101,100,100,100,100,101,101,101,101,100,100,100,101,101,102,103,103,104,104,104,105,105,105,106,107,108,108,108,107,106,105,103,102,101,100,99,98,98,99,99,99,99,99,99,99,100,101,101,102,102,102,102,101,100,99,98,98,97,97,97,98,99,99,99,99,99,98,97,97,96,97,97,98,98,98,98,98,99,99,101,101,102,102,102,101,101,101,101,102,104,105,107,107,107,107,106,106,106,106,105,105,104,103,102,101,100,100,99,99,100,100,101,101,102,102,103,103,103,103,104,103,103,102,102,101,100,100,99,97,96,95,94,94,95,96,98,100,101,101,101,100,99,98,97,97,97,97,98,99,99,99,99,98,98,97,97,97,97,97,97,97,97,97,98,98,98,98,98,97,97,97,97,97,98,98,98,99,100,100,101,101,101,100,98,97,96,95,95,95,96,96,97,97,97,97,97,97,97,97,97,97,97,96,96,96,96,95,95,94,93,93,93,93,93,93,93,92,93,94,95,98,100,103,105,106,107,107,107,106,105,103,102,100,99,98,97,97,97,97,98,99,100,101,101,101,101,100,99,99,99,100,100,101,100,100,100,99,99,100,100,101,102,103,103,103,103,103,102,101,101
6,132,130,128,125,123,120,118,117,115,114,113,112,111,110,108,106,104,102,101,101,101,102,103,104,105,106,106,106,105,103,100,97,94,91,89,87,85,83,81,79,78,76,76,76,76,77,77,78,78,79,79,79,79,79,79,79,80,80,79,79,78,77,77,77,77,78,79,80,81,82,83,84,84,85,86,86,87,87,88,87,86,85,84,83,82,82,82,83,84,86,89,92,97,103,110,116,120,123,123,121,117,112,107,102,99,97,98,98,98,98,96,95,93,92,91,91,92,94,96,98,99,98,95,91,86,83,79,77,76,75,75,75,75,75,75,74,74,74,74,74,74,75,75,76,76,77,77,77,77,77,76,77,77,79,81,85,89,92,94,94,91,88,84,81,80,79,80,81,83,86,89,92,94,95,95,93,91,90,89,89,90,91,92,93,92,90,89,88,87,88,88,88,87,86,84,82,81,80,80,80,81,81,82,82,83,85,88,92,96,99,100,99,97,96,96,98,101,104,106,105,103,100,96,93,91,91,92,94,97,100,102,105,107,108,108,108,108,107,107,107,107,107,107,106,105,103,100,98,96,96,96,96,96,94,92,90,89,88,90,92,95,97,99,100,100,100,100,101,101,100,98,95,91,87,83,81,81,83,85,89,93,96,99,100,101,100,100,100,100,100,100,100,99,97,96,94,92,91,89,88,87,86,85,86,86,87,88,89,89,89,89,89,89,89,89,89,89,89,89,88,88,87,86,86,86,86,86,86,86,86,86,86,85,85,85,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,83,83,83,83,83,84,84,84,84,85,85,86,86,86,86,85,85,85,85,87,90,94,101,108,115,121,124,125,123,120,117,115,115,115,114,114,112,110,107,105,102,99,96,93,90,88,87,88,90,93,95,98,100,100,100,99,97,96,95,95,96,97,98,98,98,97,96,94,93,92,92,91,91,91,90,90,89,89,88,87,87,88,90,93,97,102,106,108,109,108,106,103,100,97,95,93,92,92,93,94,95,96,97,98,98,98,98,97,95,93,90,88,85,84,82,82,83,85,88,91,94,96,95,93,88,84,82,81,82,84,86,87,88,89,89,89,89,89,89,89,88,87,86,85,85,84,84,84,84,83,83,83,83,83,83,83,84,84,84,84,84,84,84,83,83,84,85,88,92,99,106,114,121,126,129,128,126,121,115,108,102,97,94,92,91,91,91,90,89,88,87,85,83,82,81,80,80,79,79,79,78,78,78,78,79,80,83,87,91,95,99,101,100,98,94,90,87,85,83,82,82,82,81,81,80,79,80,80,80,81,81,81,81,81,81,80,80,79,79,79,79,79,79,79,79,79,79,78,78,77,77,77,77,77,77,78,78,78,78,78,78,77,77,77,76,76,76,77,77,77,78,78,77,77,76,75,74,74,74,74,75,75,76,76,76,77,77,76,76,76,76,76,76,76,76,76,76,77,79,80,83,85,87,89,92,95,98,100,102,104,105,106,108,109,109,108,106,102,98,94,92,91,91,93,95,97,98,98,97,95,92,90,89,89,89,90,91,90,90,89,88,88,87,86,84,82,80,78,77,76,77,77,78,80,81,82,83,83,82,82,82,81,81,81,81,81,81,80,79,78,78,77,76,76,75,75,76,76,78,80,84,89,94,98,101,102,101,99,96,92,89,86,84,83,83,84,86,88,91,92,93,94,94,94,95,96,98,100,102,104,104,103,101,98,95,92,90,88,87,86,85,84,83,83,82,83,83,83,83,84,83,83,83,83,83,84,84,84,83,83,82,82,83,85,88,91,94,96,96,94,89,85,80,77,76,77,80,83,87,90,92,92,92,90,87,85,83,82,81,80,79,78,77,77,77,78,80,83,86,88,89,89,88,86,83,81,80,80,82,84,86,89,91,93,95,95,94,91,88,85,82,81,80,81,83,84,87,88,90,90,91,91,90,90
7,99,97,96,96,96,97,98,99,101,102,103,103,103,103,102,102,101,100,99,98,98,99,99,100,100,101,101,101,101,101,101,101,101,100,99,98,97,96,95,94,94,95,96,97,98,99,100,100,100,100,100,101,101,101,101,101,100,98,97,95,94,93,92,92,92,92,92,92,92,92,92,92,93,93,94,94,94,93,93,93,92,92,91,90,90,91,92,94,96,99,105,112,121,129,136,141,143,142,137,131,121,111,102,94,89,87,88,89,92,95,98,100,103,105,107,108,107,105,102,99,95,92,90,87,86,85,84,85,85,86,86,86,85,84,83,82,81,81,81,82,83,84,86,87,88,89,90,90,89,89,89,91,93,99,107,117,129,142,153,161,166,167,165,160,154,148,141,134,127,121,115,110,106,103,102,103,104,106,108,111,113,116,118,120,120,120,119,118,117,115,114,113,111,109,107,104,101,98,96,94,94,95,96,97,98,97,97,96,96,96,96,97,98,98,98,97,97,96,95,94,92,90,88,87,86,86,86,87,89,90,92,95,99,105,113,121,129,134,138,140,141,141,141,141,141,142,142,142,142,142,141,141,141,142,143,145,146,147,148,148,147,147,146,146,146,146,145,144,141,138,134,129,124,119,113,108,104,101,99,99,99,99,101,103,105,108,111,113,116,118,118,117,114,110,104,98,93,88,85,83,81,80,80,80,81,81,82,82,83,83,84,84,84,85,85,85,86,87,87,88,87,86,85,84,83,83,83,83,83,84,84,84,84,84,85,86,86,87,88,89,90,90,90,89,89,88,88,87,87,87,87,86,86,86,86,85,85,85,86,87,88,89,90,90,91,91,91,91,91,90,89,89,89,90,92,96,101,108,115,123,129,132,132,130,127,122,118,112,107,102,97,93,91,89,89,90,92,95,97,99,100,100,99,98,97,96,95,95,94,93,92,90,89,89,88,87,87,87,86,85,85,84,83,83,83,83,83,84,84,84,84,84,83,83,83,83,83,83,84,84,83,83,83,83,84,85,85,84,83,83,82,81,81,80,80,79,79,79,80,82,85,90,97,105,113,121,126,129,128,126,122,117,113,109,106,103,101,98,95,93,91,90,88,86,85,84,84,86,89,92,96,100,103,107,109,111,113,114,114,115,117,118,119,121,123,125,126,126,125,122,118,113,109,106,103,101,98,95,91,88,85,83,82,82,82,84,86,89,93,96,99,101,101,100,99,96,94,91,89,87,86,84,81,79,77,74,73,71,70,70,70,70,71,73,75,78,83,90,98,106,113,118,121,123,124,123,122,120,118,116,114,113,110,108,105,102,99,96,94,92,90,89,88,87,86,85,85,85,86,86,86,86,86,87,87,88,89,89,89,87,86,84,83,83,83,83,84,86,87,88,89,89,88,87,87,87,88,89,91,92,92,92,92,92,91,91,90,90,90,90,90,90,90,90,90,89,89,89,89,89,89,89,89,89,88,88,87,86,86,85,85,85,85,85,85,84,83,82,81,81,81,83,85,90,97,106,116,124,130,132,131,127,120,112,102,93,86,81,78,78,79,81,84,88,90,92,92,92,92,91,89,88,87,86,85,85,85,85,85,86,86,85,85,85,85,84,84,84,85,86,86,87,88,88,88,87,87,87,86,86,87,89,93,100,110,121,133,145,154,161,166,168,168,166,162,157,151,143,135,127,119,112,106,100,96,93,90,88,87,86,85,85,85,86,88,89,91,93,94,96,98,100,102,104,105,107,107,106,104,102,100,98,97,97,98,99,101,102,103,104,104,105,105,105,104,103,101,99,98,96,95,94,94,93,93,92,91,90,90,89,89,89,88,88,88,87,87,88,91,97,107,120,136,152,167,179,188,192,193,191,185,176,164,151,139,129,121,114,110,107,105,104,104,105,106,107,108,110,113,115,118,121,123,125,126,127,127,127,126,126,125,124,123,121,119,116,113,110,106,102,98,94,91,89
8,86,86,86,87,87,86,86,85,84,85,86,89,94,98,103,107,110,110,108,104,100,97,97,99,102,105,108,110,110,110,108,105,102,99,97,95,95,97,99,102,104,105,105,105,104,104,103,103,103,103,103,103,103,104,104,105,106,107,109,110,111,112,111,110,109,107,106,104,103,103,103,104,105,106,106,106,105,105,104,103,102,103,104,106,110,114,118,121,123,122,121,118,116,113,112,111,111,111,111,111,112,112,111,109,106,102,98,97,97,99,102,105,107,109,109,108,107,104,102,100,98,97,96,95,94,93,93,92,92,91,91,91,91,91,92,92,92,92,92,92,92,92,92,92,91,91,90,89,89,88,87,86,86,86,86,86,86,86,87,87,87,87,86,86,86,86,87,87,88,90,91,93,94,95,95,96,97,100,103,106,111,115,119,122,125,126,126,125,122,117,112,106,101,96,92,89,87,87,89,91,92,94,96,98,100,103,104,105,105,103,101,98,95,93,92,92,92,93,93,92,90,89,87,86,86,85,85,86,86,88,89,89,89,88,87,85,84,84,84,84,85,87,89,91,94,98,102,105,107,108,107,106,103,100,96,92,88,85,82,81,80,80,81,82,83,84,85,85,85,85,86,86,86,86,86,87,87,87,86,85,85,84,84,84,85,87,89,93,96,100,104,106,107,106,104,102,99,97,96,95,95,95,94,94,93,92,91,90,90,90,92,94,97,99,102,103,104,104,103,102,101,100,100,99,100,100,100,101,101,101,101,102,102,102,102,102,102,102,103,103,103,104,104,104,104,103,102,101,100,100,99,98,98,98,99,100,101,102,103,105,105,105,105,103,101,99,98,98,98,99,101,102,103,103,102,102,103,104,105,108,110,112,113,113,112,109,107,105,106,108,111,115,118,120,121,120,117,114,111,109,107,106,105,105,105,105,105,105,106,105,104,102,99,97,95,93,92,91,90,89,89,89,89,89,90,91,92,94,95,96,96,96,97,98,100,102,103,104,105,107,108,109,109,107,106,105,106,107,108,109,110,109,108,107,106,106,105,102,100,98,96,96,97,99,101,103,105,105,104,102,100,99,99,100,103,105,107,108,108,106,104,103,101,100,99,99,98,97,95,94,94,94,93,94,94,94,94,94,96,97,98,98,98,97,96,95,94,93,93,93,93,94,96,97,98,99,100,100,99,98,97,96,95,95,95,96,96,97,97,97,97,97,96,96,94,91,88,86,84,84,84,85,86,87,88,88,87,87,87,88,90,93,96,99,101,102,103,102,100,98,95,92,90,89,89,89,88,88,87,86,87,89,93,99,105,112,118,123,127,128,129,127,125,120,115,110,106,103,102,103,105,107,110,113,116,118,119,121,122,122,123,123,122,120,118,116,114,113,111,111,110,109,108,107,106,105,104,103,102,102,102,102,102,102,102,101,100,99,98,97,96,96,97,98,99,99,100,101,101,101,100,100,100,99,99,98,98,97,97,96,95,95,94,94,94,95,96,96,97,96,95,94,94,93,94,95,97,100,103,106,107,107,106,105,104,103,102,102,102,102,102,103,105,106,107,106,105,103,102,101,99,98,96,95,93,92,91,90,89,89,88,88,88,88,89,90,91,91,91,91,90,90,88,87,85,83,82,82,82,83,84,85,86,87,90,93,98,105,112,121,128,133,135,133,128,121,113,104,97,92,89,90,93,97,102,106,110,112,113,113,112,110,107,105,103,101,99,98,97,97,98,98,99,99,98,97,95,93,91,89,88,89,89,91,93,95,96,98,99,98,98,97,96,96,95,94,92,90,88,87,87,86,86,87,88,90,92,94,96,97,98,100,102,103,103,103,101,100,99,98,97,97,95,93,91,88,84,81,79,78,79,81,84,87,90,94,96,98,99,99,99,97,96,93,90,87,84,82,81,80,79,79,79,80,81,81,82,83,83,83,83,83,83,84,85,86,87,88,90,92,95,97,98,98
9,84,85,85,86,87,89,93,98,105,112,118,123,127,130,132,132,132,132,131,130,129,128,127,126,126,125,124,123,121,120,118,116,115,115,114,113,111,109,107,105,102,100,98,97,96,97,98,100,102,105,107,108,108,108,107,106,105,105,105,105,105,106,107,107,108,109,110,110,110,109,108,107,105,104,102,101,99,97,95,94,94,97,100,105,111,117,122,127,130,131,132,132,130,127,125,122,119,117,116,115,114,115,117,120,122,124,125,125,124,122,120,118,115,111,108,105,103,102,101,100,100,100,100,100,100,100,100,100,100,100,99,99,99,100,100,101,101,102,102,102,102,102,101,100,98,97,97,96,96,97,97,97,97,97,96,96,95,94,94,94,93,93,93,93,92,92,91,91,91,91,91,91,90,90,91,94,100,108,119,130,141,149,154,157,156,154,152,149,147,145,142,139,135,131,127,124,121,119,116,115,113,112,111,109,108,107,106,106,105,105,104,103,103,102,100,99,97,96,95,95,94,94,94,94,95,97,98,98,98,97,95,93,91,89,87,85,84,84,85,85,86,87,87,87,87,87,87,88,90,94,101,109,119,129,138,145,149,151,151,150,148,145,142,139,136,133,131,130,128,127,124,121,117,113,109,105,102,101,101,103,106,109,111,114,117,119,122,124,125,126,125,123,119,114,108,102,96,92,90,88,87,87,88,89,91,93,95,96,98,99,99,100,100,100,100,100,100,99,97,96,94,92,91,91,90,91,91,92,92,93,94,95,96,97,97,98,98,97,97,97,97,97,97,98,99,99,99,99,99,98,98,97,96,96,96,96,96,95,95,95,94,94,94,94,94,94,94,95,95,96,96,97,97,98,100,102,106,111,117,123,128,132,135,136,137,136,135,133,131,129,126,122,118,115,113,111,111,112,113,113,113,113,112,111,110,108,107,105,103,101,99,98,96,95,95,94,94,94,94,94,94,94,94,94,94,94,94,94,94,94,94,95,96,97,99,101,103,106,109,111,113,115,116,116,116,116,115,114,114,114,115,116,117,118,118,118,116,114,111,108,107,106,106,107,107,107,105,102,99,95,92,89,87,85,84,83,82,82,82,82,82,83,84,85,87,87,88,88,89,89,89,88,88,87,86,85,85,85,85,87,90,95,102,110,120,129,138,146,152,156,159,161,161,161,159,158,156,155,153,152,150,146,142,137,131,126,122,119,116,115,114,114,114,113,112,111,110,109,110,110,112,112,113,112,111,109,108,106,105,104,102,101,101,100,100,99,99,99,99,99,100,100,100,100,99,99,98,97,97,98,99,100,101,102,103,103,103,103,101,99,97,95,93,91,90,89,88,86,85,84,84,84,85,87,88,91,93,96,98,100,101,102,102,102,102,101,100,98,97,96,95,94,93,93,92,93,93,93,94,94,94,94,94,94,94,94,95,95,95,95,95,95,95,94,92,91,89,88,86,84,83,82,82,83,84,86,88,90,91,92,93,94,94,94,94,94,93,93,92,92,92,92,92,92,92,92,92,92,92,92,92,93,93,93,94,94,94,94,94,95,95,96,96,97,97,97,97,96,96,98,101,105,111,118,124,129,131,131,129,125,121,116,112,110,108,107,107,107,107,106,106,105,104,103,102,100,98,97,95,93,91,89,88,87,87,88,88,89,89,89,89,89,88,87,86,85,84,84,84,84,84,85,85,85,85,86,86,86,86,86,85,84,84,84,84,85,87,90,94,99,105,112,119,125,129,130,129,126,122,117,111,106,101,96,92,90,90,92,94,97,100,104,107,110,113,115,115,113,109,103,97,91,85,81,77,75,75,77,81,86,93,98,103,106,106,105,102,99,95,91,88,85,82,81,80,80,81,82,83,84,84,85,86,86,86,86,86,86,87,87,87,88,88,89,90,91,91,92,92,92,92,92,92,92,91,91,91,90,90,91,91,91,91,91,90,90,89,89,88,88,88,87,87,87
10,84,85,85,86,87,87,88,88,87,85,83,81,79,77,76,76,77,79,82,86,89,92,95,96,97,98,98,97,96,93,91,88,86,84,82,81,80,80,82,84,86,88,88,88,87,85,84,84,86,87,89,89,88,86,83,79,76,73,71,70,70,70,73,76,81,85,87,88,87,85,84,83,84,86,88,90,91,92,92,92,92,91,92,92,92,92,92,91,90,90,90,90,91,91,91,90,89,87,85,84,83,83,83,83,82,82,83,85,87,88,89,89,89,89,88,87,85,84,83,82,83,84,84,85,85,86,87,88,90,90,91,91,91,91,92,92,93,93,93,94,94,94,94,94,94,94,94,94,93,93,93,92,92,92,92,91,92,93,95,99,103,108,112,115,115,113,110,107,105,103,102,102,101,101,100,99,99,99,99,99,100,100,100,100,99,99,98,98,98,97,97,96,96,96,96,96,96,95,94,92,91,91,90,90,91,91,91,90,90,90,89,89,89,89,89,89,89,89,89,89,90,90,90,90,91,91,91,91,91,91,91,91,91,90,90,90,91,92,93,95,98,100,102,102,100,97,94,90,87,85,84,83,83,84,85,85,85,86,88,90,93,95,96,98,99,100,102,103,104,105,105,105,103,101,100,99,99,100,101,101,101,100,99,97,96,95,95,95,95,96,97,98,99,100,100,100,99,98,97,94,92,90,88,88,88,89,91,92,94,97,100,102,104,104,104,103,101,98,96,94,93,93,93,94,95,96,97,97,97,97,97,97,97,97,97,97,96,96,95,94,93,93,93,94,95,96,98,99,99,99,99,98,97,95,94,92,91,91,91,91,92,93,93,94,93,93,92,92,92,93,94,95,96,97,97,97,97,96,96,95,95,94,94,94,94,94,95,96,97,98,98,97,96,94,93,92,91,91,91,91,90,90,89,89,89,89,89,90,92,94,95,97,98,98,98,98,98,98,98,98,98,97,97,96,96,95,95,95,95,96,97,98,100,101,102,102,102,102,103,105,106,108,109,108,107,105,104,102,101,101,101,101,100,100,99,98,97,97,97,96,96,96,96,98,100,103,104,105,104,103,102,102,103,104,106,107,108,108,106,105,103,101,100,100,100,100,101,101,101,100,99,98,97,97,98,98,98,99,98,98,98,98,98,98,99,100,102,104,106,108,109,108,107,105,102,100,97,95,92,90,89,89,92,95,99,103,106,109,112,114,116,116,116,114,112,109,106,104,102,100,99,99,99,98,97,96,94,93,93,93,94,96,98,99,100,101,102,102,103,103,102,101,99,97,94,92,90,90,90,92,94,96,97,98,99,99,98,98,98,97,97,96,94,93,91,89,88,87,86,85,84,84,83,84,84,85,86,87,88,89,90,90,90,90,90,90,89,89,89,89,89,89,88,88,87,86,85,84,84,84,84,84,85,86,86,87,88,88,88,88,87,87,87,88,88,88,89,89,89,89,89,89,88,88,87,87,87,88,88,89,89,89,89,89,89,90,92,94,97,100,102,102,102,100,98,95,93,91,91,91,93,95,97,98,97,97,96,95,94,93,93,94,94,94,94,95,95,94,93,91,90,89,90,91,93,94,95,95,95,95,94,95,95,96,97,97,97,96,96,94,93,91,90,90,90,90,90,91,91,92,93,93,95,96,98,100,102,103,104,103,103,103,104,105,107,108,109,109,109,108,106,105,103,101,99,98,97,97,98,99,100,100,100,99,98,96,95,95,95,95,95,96,96,96,96,95,95,94,94,94,93,93,93,92,92,91,91,91,90,90,90,91,91,92,92,93,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,91,90,88,88,87,88,88,89,90,92,94,96,99,100,99,98,95,92,89,86,84,84,84,87,90,93,95,96,96,96,96,97,99,101,104,105,105,104,102,100,98,97,98,98,99,98,97,96,95,95,95,97,98,99,100,100,99,98,97,96,94,94
11,108,105,103,101,101,101,101,102,103,103,103,103,103,102,101,101,100,100,100,100,101,101,102,102,101,100,99,97,96,96,96,97,98,98,99,99,100,100,100,99,99,99,99,99,100,100,100,100,100,101,101,101,102,102,102,103,103,102,102,101,100,100,99,99,100,100,101,101,101,102,102,101,101,101,101,101,101,101,101,102,102,103,103,103,103,103,103,103,104,104,104,104,104,104,104,105,105,106,106,107,107,107,106,106,106,106,107,108,109,110,112,112,113,112,111,110,109,107,106,105,104,104,103,103,103,103,103,102,102,102,101,101,101,100,100,100,99,99,100,100,100,100,100,100,99,99,99,99,98,98,97,97,97,96,95,95,95,94,94,95,96,98,100,103,105,106,106,105,104,102,101,101,102,104,107,111,116,120,123,126,127,128,127,126,124,122,119,117,114,111,108,105,103,101,100,101,101,103,103,104,104,104,103,103,102,102,102,101,101,101,100,99,98,97,96,95,95,94,93,93,93,93,93,92,91,90,90,91,92,94,96,99,101,103,105,106,107,106,106,104,103,101,99,98,97,96,96,97,99,100,101,103,104,104,104,103,101,99,97,95,94,93,93,93,93,94,94,94,94,94,94,96,98,100,103,105,106,107,106,106,105,105,106,107,107,107,107,107,106,105,105,104,104,104,105,106,107,109,110,110,110,109,107,106,105,104,104,104,105,106,107,108,108,108,107,106,105,104,103,103,103,104,104,104,104,104,104,103,103,103,103,103,102,102,102,102,101,101,100,101,101,103,104,105,104,103,101,99,97,95,93,93,93,94,94,95,95,95,96,96,96,97,97,97,97,97,97,97,97,98,98,98,98,98,98,98,98,99,100,101,101,102,102,101,100,100,99,99,99,99,99,100,101,102,104,105,105,105,105,105,105,104,104,104,104,103,102,101,100,100,99,99,99,98,97,96,95,93,92,92,92,92,93,96,98,102,106,109,112,114,115,115,113,111,109,106,102,99,97,94,93,91,91,90,90,90,90,90,90,91,91,92,93,93,95,96,98,100,102,104,104,104,103,101,99,97,96,96,98,100,103,107,111,114,116,118,118,118,117,116,114,112,109,106,103,100,98,96,95,95,96,97,98,100,100,100,99,98,97,97,96,95,94,94,93,93,94,96,99,103,109,113,115,115,113,109,105,101,97,95,94,93,93,94,94,95,96,97,99,100,102,105,108,112,116,119,122,123,122,119,115,110,105,101,98,97,97,98,101,103,105,106,107,106,105,104,102,101,100,99,99,100,101,103,105,106,106,106,105,104,103,102,102,101,100,99,99,98,97,96,96,96,96,96,95,95,95,95,95,95,95,95,96,96,96,96,96,97,97,97,98,99,99,100,101,101,101,102,102,102,102,102,103,102,102,102,102,102,102,103,103,104,104,104,104,103,102,101,99,98,98,98,99,100,101,101,102,102,102,102,103,103,103,103,103,103,103,103,103,103,103,103,103,104,104,104,104,104,103,103,102,102,101,101,100,100,100,101,103,106,109,113,116,117,117,115,112,109,106,104,102,102,103,104,105,106,105,104,103,102,102,103,104,105,106,106,106,105,104,103,103,103,103,103,103,103,103,102,101,101,100,100,100,100,99,99,98,97,96,95,95,94,94,94,94,95,95,95,95,95,95,95,96,96,97,97,98,98,99,99,99,100,101,101,101,100,100,99,100,102,105,110,116,122,128,130,130,128,123,118,113,110,109,108,109,111,112,114,117,119,122,125,127,128,129,129,129,129,128,127,124,122,119,117,115,115,114,113,111,108,106,104,103,104,106,108,110,112,112,112,111,110,109,109,109,109,110,110,110,110,109,108,107,105,104,104,104,106,109,112,115,118,119,119,119,118,116,115,114,112,112,112,112,112,111,110,109,109,108,109,111,113,115,115,116,115,115,115,115,115,115,114,113,111,109,108,107,107,109,110,112,114,114,115
12,86,90,94,95,96,94,92,90,88,86,85,85,86,88,90,92,93,94,94,94,94,94,94,93,93,93,92,92,92,92,92,91,91,90,90,90,90,91,92,93,93,94,94,94,94,94,93,94,94,95,96,97,98,98,98,97,96,95,93,93,93,95,96,98,100,102,103,103,104,104,104,105,105,106,106,106,106,105,104,104,103,102,101,100,99,98,96,94,92,90,89,88,88,87,87,86,86,86,87,88,89,89,90,90,90,90,90,90,89,89,88,87,85,84,83,82,82,83,84,85,86,87,88,89,89,88,85,83,80,77,75,73,73,74,75,78,80,83,84,86,87,88,88,88,88,86,85,83,81,79,78,77,77,79,80,81,82,83,84,84,85,87,89,91,94,97,99,100,100,99,99,98,98,97,95,94,93,91,90,89,88,88,87,87,86,87,87,87,87,86,86,85,85,84,83,83,82,82,82,82,82,82,82,82,82,81,81,81,81,80,81,81,82,83,84,85,86,86,87,87,87,87,87,86,86,85,85,85,86,86,86,87,89,91,96,101,105,109,111,112,110,107,103,98,94,92,90,89,89,88,86,84,82,81,79,79,79,79,80,81,83,84,85,86,86,86,85,83,82,82,81,81,81,80,80,79,79,79,80,80,81,81,82,82,82,83,84,85,86,86,85,84,83,83,83,84,85,86,87,87,88,88,89,89,89,89,89,89,88,88,88,88,88,88,88,87,87,86,85,84,84,84,84,85,85,85,86,86,86,85,85,84,83,83,83,83,83,83,83,83,83,83,82,82,82,82,81,81,81,82,83,83,84,84,84,84,84,85,85,86,86,86,86,85,85,85,84,85,85,86,87,87,88,88,88,88,88,88,88,88,88,89,89,89,89,88,87,87,87,87,87,87,87,88,89,90,91,92,93,95,97,100,101,102,102,100,98,97,95,95,95,95,96,96,96,96,96,96,96,96,97,97,97,98,98,98,98,99,99,99,98,98,98,98,98,99,100,100,100,99,98,97,96,96,96,97,98,100,102,103,103,103,101,100,98,97,96,96,95,96,96,96,96,96,95,94,93,92,91,91,90,90,90,90,90,90,90,90,90,89,89,89,89,89,89,89,89,89,89,88,88,88,88,88,89,89,89,87,86,85,84,84,85,86,86,86,85,85,84,84,85,85,85,85,84,83,81,80,79,79,79,81,82,84,86,88,90,92,95,98,102,108,114,118,121,123,123,122,121,119,117,114,111,108,106,106,106,106,108,109,111,112,112,113,112,111,110,108,107,106,104,103,102,100,98,96,94,92,91,89,88,88,87,87,88,88,88,88,87,85,85,85,85,86,87,88,87,87,88,88,90,91,91,91,90,89,87,87,87,88,90,92,94,95,96,95,94,93,91,90,89,88,88,88,89,89,90,90,90,90,90,89,89,87,86,85,85,85,86,87,88,89,89,90,91,91,92,92,92,92,92,92,91,91,91,91,91,91,90,89,87,87,86,86,85,85,85,85,86,87,87,87,86,86,85,85,85,86,86,86,87,87,87,88,88,88,87,87,86,86,87,89,93,98,102,106,108,108,107,105,102,99,95,92,89,88,87,87,86,85,84,83,82,82,82,83,83,83,84,84,83,83,82,81,79,79,79,80,82,85,89,92,95,97,99,100,100,101,100,100,101,101,102,102,103,103,104,104,104,103,102,100,98,96,95,94,94,94,94,94,94,94,93,91,90,89,89,88,88,87,87,86,85,84,84,83,83,82,82,83,83,84,85,86,87,88,89,89,89,88,88,87,87,88,88,89,89,89,89,88,88,87,86,86,86,86,87,87,86,86,85,84,84,84,83,83,83,83,83,84,84,86,89,92,98,104,109,114,117,119,119,117,115,113,110,108,106,104,102,101,99,97,95,94,94,94,94,94,94,93,92,91,90,89,88,88,89,90,92,93,93,94,94,93,92,91,89,88,87,87,88,89,90,91
13,130,127,124,122,121,122,124,126,129,132,134,134,133,132,131,130,129,128,127,126,124,122,120,118,117,117,117,116,114,111,109,107,106,104,104,104,104,106,107,109,110,110,110,109,107,106,104,102,101,99,98,99,100,101,102,103,102,102,102,102,101,101,100,100,100,100,100,99,97,94,90,86,83,81,83,86,89,92,93,94,94,94,94,94,95,96,96,95,95,94,94,95,96,100,104,109,113,117,119,119,117,114,111,107,104,100,98,96,95,95,95,96,96,96,95,95,95,95,96,96,96,96,95,94,93,92,91,90,89,89,89,89,89,88,88,88,88,89,89,89,89,89,88,88,87,86,85,85,87,89,92,95,98,100,102,103,105,106,107,109,110,112,115,117,119,119,117,114,110,106,103,101,100,101,102,104,105,104,103,101,100,100,101,102,102,103,102,101,100,99,98,98,98,99,99,100,100,100,100,100,100,99,99,99,98,98,98,99,100,100,101,101,101,100,100,100,100,100,101,101,100,100,99,98,97,96,96,97,99,101,105,109,112,114,114,113,111,109,107,106,106,107,108,109,109,109,107,105,102,101,102,103,106,109,113,116,118,118,118,117,116,114,113,113,114,116,119,123,127,131,135,139,144,148,151,153,154,153,152,149,147,145,144,144,144,144,144,143,142,140,138,136,134,133,132,131,130,130,130,130,129,127,125,121,116,111,107,103,102,102,105,108,111,115,118,120,122,123,123,123,122,119,117,113,110,108,105,104,102,100,98,96,95,95,95,95,95,95,95,95,94,93,92,91,90,90,90,90,90,91,91,91,91,91,91,91,91,91,91,91,91,92,92,93,93,94,94,93,93,92,92,92,92,92,92,93,93,94,94,95,95,96,98,99,100,101,100,100,101,102,104,104,103,101,99,96,94,93,91,91,92,93,96,98,100,101,101,99,97,94,92,92,92,93,94,96,98,100,101,101,101,100,99,97,94,93,91,90,89,89,89,89,89,89,89,89,89,89,90,90,91,91,91,91,91,91,91,91,90,90,89,88,88,87,86,85,84,84,83,83,82,82,82,82,82,83,83,85,88,91,95,99,102,103,103,101,100,100,101,103,106,110,114,118,121,122,123,123,122,121,119,118,116,114,112,111,110,109,107,106,105,104,103,103,102,101,101,100,101,101,102,103,102,102,102,101,101,101,101,101,101,100,99,99,98,98,98,98,99,100,101,102,104,105,106,106,106,107,107,109,111,114,116,118,119,121,123,126,128,131,132,131,129,125,120,115,111,108,108,109,113,118,124,130,136,140,143,145,145,144,142,139,136,134,133,133,133,133,133,131,129,127,125,124,123,122,121,120,119,118,118,118,117,116,113,111,109,107,107,107,109,111,112,113,113,112,111,109,106,102,99,96,94,92,92,94,96,98,99,98,97,94,92,90,88,88,89,90,91,93,94,95,95,95,94,94,94,93,93,93,93,93,93,92,92,92,91,91,91,91,91,92,93,93,93,94,94,95,95,95,94,93,92,92,91,90,89,89,89,88,88,87,87,86,86,87,88,89,90,91,93,94,95,95,94,92,90,89,89,90,92,94,95,97,97,97,97,96,95,94,93,92,92,92,91,91,90,90,90,91,93,95,96,97,98,97,97,96,96,95,94,94,95,95,96,97,98,99,100,101,102,103,103,103,103,102,102,100,99,98,98,98,99,101,103,106,109,113,117,120,122,122,122,121,120,119,118,117,116,114,112,111,109,108,106,106,106,107,108,110,113,116,119,121,122,122,121,121,121,122,122,121,120,118,116,115,114,114,114,113,111,109,108,107,106,107,108,110,112,114,114,115,114,114,114,115,116,117,118,118,118,117,117,117,118,119,120,122,122,122,121,119,118,117,116,115,116,119,123,129,137,145,152,158,163,167,170,172,175,177,180,183,185,187,188,187,184,181,178,175,171,165,159,154,149,145,142,140,138,137,137,139,141,144
14,94,93,92,92,92,92,92,91,88,85,82,80,78,77,77,78,80,82,85,86,87,87,87,86,86,87,88,88,89,89,89,88,87,85,84,83,82,81,81,80,79,79,78,78,77,76,76,76,75,75,75,74,74,73,73,73,73,73,73,72,72,72,72,72,73,73,74,74,74,74,73,73,73,73,73,73,73,73,73,73,74,74,75,75,75,75,75,75,75,74,74,74,75,77,79,83,87,91,95,99,103,106,110,112,113,113,112,110,107,105,103,102,101,101,100,100,100,100,100,99,99,99,98,97,96,96,95,94,94,95,96,97,97,97,96,94,91,89,87,86,86,87,89,91,93,94,95,94,93,92,92,92,94,95,97,100,103,107,112,115,117,118,119,118,117,116,115,114,112,111,110,110,110,110,110,110,109,106,103,99,95,91,89,87,87,86,86,87,87,87,86,86,85,84,84,83,82,82,82,81,81,80,80,80,80,79,79,77,76,74,72,71,71,71,71,72,74,76,78,80,81,82,82,80,78,77,76,77,80,85,91,98,104,110,114,118,120,122,123,123,122,121,121,121,120,120,119,119,119,118,118,118,117,116,115,113,112,111,110,109,108,108,107,106,106,106,106,107,107,106,104,101,98,93,89,86,83,81,80,80,80,81,83,84,84,84,83,82,82,82,83,84,84,85,84,83,81,80,80,81,83,87,92,97,100,102,101,99,97,94,91,88,86,84,84,83,84,84,85,85,86,86,86,86,86,85,85,84,84,83,83,82,82,82,81,81,81,80,80,79,79,79,78,78,78,78,77,77,78,77,77,77,77,77,77,77,76,76,75,75,74,74,74,74,74,74,73,72,71,71,70,70,71,71,71,72,72,71,71,71,71,71,70,70,70,69,69,68,68,68,68,68,68,68,68,69,69,68,68,67,67,67,67,69,71,74,77,81,83,85,86,87,88,91,94,98,102,104,105,104,101,98,94,91,89,88,88,88,89,89,90,91,92,93,95,97,99,100,100,99,97,95,93,91,89,88,88,87,87,87,86,85,84,83,83,83,84,87,92,98,103,108,110,109,106,101,96,91,88,86,85,85,85,86,88,91,95,99,103,106,107,107,106,105,102,100,98,95,94,93,92,91,91,90,90,90,91,91,92,91,91,90,89,88,88,88,89,90,92,93,94,94,94,92,90,88,86,85,85,86,87,88,90,92,94,95,95,95,94,94,94,94,94,93,92,90,89,88,88,89,90,92,93,94,93,92,91,89,89,89,90,91,91,91,90,90,91,91,91,91,90,89,88,88,87,87,88,88,89,88,88,87,86,86,87,87,88,88,89,88,88,86,85,83,82,81,80,79,79,78,78,77,77,76,76,76,75,75,75,74,74,74,74,73,73,73,73,73,73,73,73,72,72,72,72,72,72,71,70,69,69,68,68,68,68,68,68,69,69,69,68,68,68,68,68,67,68,68,68,68,68,69,69,69,69,69,69,68,68,68,69,69,69,70,70,70,70,70,70,71,71,71,71,71,71,71,71,71,72,72,73,73,74,74,74,74,74,74,75,76,77,78,78,78,78,78,78,78,77,77,77,77,77,77,77,77,77,77,77,77,77,77,77,78,78,78,78,77,75,73,70,68,68,70,72,75,77,78,79,80,81,84,88,94,101,107,110,109,107,103,99,96,95,94,93,91,90,88,87,87,89,91,93,95,97,99,101,103,104,105,106,107,108,109,111,114,116,118,120,121,121,120,118,117,115,115,116,119,123,126,128,129,128,125,123,121,121,121,122,123,121,117,111,104,98,92,89,86,84,83,83,82,82,82,82,83,84,85,85,84,83,81,80,80,82,85,89,93,94,94,94,94,95,96,97,97,95,93,92,90,90,91,93,94,94,94,94,93,94,95,97,98,100,100,100,99,98,95,93,91,90,89,88,88,89,89,89,90,90,90,90,91,91,91,91,91,91,91,91,92,94,96,98,99
15,128,130,132,133,135,136,137,138,138,137,136,134,131,129,126,124,122,119,117,115,113,111,110,109,108,107,106,105,104,103,103,102,102,102,102,102,101,100,99,97,96,95,95,94,94,95,95,95,94,93,92,90,89,87,86,86,85,85,84,84,84,84,83,83,83,83,83,83,83,83,83,82,82,82,82,82,83,85,86,88,90,92,93,94,95,95,95,95,96,97,99,101,104,107,110,113,116,119,122,123,122,119,114,108,102,96,93,91,90,90,91,92,93,93,93,93,93,92,92,91,91,91,91,91,91,91,91,92,91,91,91,90,90,89,89,88,88,88,89,90,91,92,93,94,94,94,94,93,93,92,92,91,90,89,88,88,87,87,87,86,86,85,85,84,83,83,83,83,83,83,83,82,82,82,82,82,82,82,81,81,80,79,79,80,83,88,94,101,110,118,127,134,142,148,153,156,157,156,153,148,142,137,131,127,125,123,122,120,118,115,111,107,102,98,94,92,90,89,89,91,93,97,101,104,106,107,106,104,100,96,92,89,86,84,82,81,80,78,78,77,77,77,77,76,75,74,74,73,73,72,72,72,72,74,76,79,82,85,88,90,91,91,90,89,87,85,83,81,79,78,77,76,76,76,75,75,76,79,83,88,94,99,103,105,104,102,98,94,91,89,90,92,96,101,106,111,114,115,115,113,109,105,100,96,93,90,87,85,83,81,80,78,77,76,76,75,75,75,74,74,74,74,74,74,74,75,75,75,75,74,74,74,74,74,74,74,75,86,86,86,85,85,85,85,86,86,86,87,88,86,86,86,85,85,85,85,86,86,86,87,88,88,89,90,90,90,91,91,91,91,92,93,96,99,104,109,114,117,119,119,117,115,112,109,105,103,101,100,100,100,101,101,101,101,100,98,97,95,94,94,94,94,94,95,95,95,95,94,94,94,93,93,92,92,91,90,90,90,89,89,88,88,88,88,88,89,90,90,90,90,90,89,88,87,86,85,84,83,83,83,84,85,85,86,86,85,85,84,83,83,82,82,82,83,85,90,96,105,115,125,134,142,146,148,147,145,143,140,139,138,138,139,141,143,145,146,147,147,146,144,142,139,136,133,131,130,129,129,128,127,124,120,115,110,107,107,110,114,120,126,132,136,139,141,141,139,136,132,126,121,115,110,105,100,95,91,86,83,80,79,79,81,83,87,90,93,95,96,96,95,92,88,85,83,83,84,86,89,92,96,100,103,107,109,109,108,104,100,97,94,93,94,96,99,102,104,105,105,102,98,94,91,90,90,92,95,98,100,102,103,104,104,104,103,102,101,99,98,97,96,96,96,96,96,97,97,98,98,99,99,99,98,97,96,95,93,92,90,89,87,87,86,86,87,87,87,87,88,88,88,87,87,87,87,87,87,87,88,88,87,87,86,86,85,85,85,85,86,86,87,88,88,88,89,89,89,89,88,88,87,85,84,82,81,81,81,82,83,85,86,87,87,87,87,87,87,88,89,90,91,92,94,95,96,96,97,98,99,101,104,108,112,114,115,114,110,106,100,95,92,89,88,89,91,93,95,96,97,98,97,96,95,94,92,91,90,89,89,88,88,88,88,88,90,92,94,95,96,95,94,93,91,89,88,87,86,87,88,88,89,90,90,91,92,93,96,101,108,116,126,136,146,154,160,163,162,158,152,146,141,137,134,131,129,127,124,121,118,114,112,111,112,115,118,121,123,124,125,124,122,119,116,114,111,109,107,105,102,100,97,94,93,92,93,94,95,95,96,96,96,96,95,94,93,91,89,88,86,84,82,79,76,74,71,70,69,69,69,70,72,75,79,85,90,95,98,100,99,97,94,91,90,90,91,92,93,93,92,91,90,89,90,91,93,95,98,101,102,103,102,102,102,102,103,105,106,107,108,107,105,103,100,96,93,91,88,86,84,83,83,84,86,87,88,88,87,86,83,79,76,74,72,72,72
16,99,102,104,104,104,104,103,103,102,102,102,102,103,103,103,103,103,103,102,101,101,101,102,103,105,106,107,107,106,105,104,103,104,105,106,108,110,112,113,114,114,114,114,113,113,112,110,108,105,103,100,97,96,95,96,96,97,98,99,99,99,99,98,97,96,94,94,93,93,93,93,93,93,94,94,94,94,93,92,91,91,92,94,98,102,104,104,101,96,90,85,82,82,84,87,90,94,97,100,101,100,99,97,95,94,93,93,93,94,95,96,97,98,98,98,98,97,96,95,94,94,95,96,96,96,96,95,95,95,96,96,96,96,97,97,97,97,98,98,98,98,97,96,94,92,91,90,91,92,93,94,95,96,96,96,96,96,95,95,95,95,96,99,103,107,112,114,115,113,111,108,107,107,108,110,111,110,108,104,99,94,92,93,96,102,108,114,118,120,120,119,116,113,109,105,101,97,95,94,94,96,97,98,99,101,103,105,106,106,104,101,98,95,92,90,88,86,85,84,83,83,82,82,81,81,82,82,82,82,81,80,79,79,79,80,81,82,82,83,83,83,84,85,87,89,91,92,93,92,91,89,87,86,86,86,87,87,87,87,87,86,87,89,92,95,97,98,97,95,93,92,92,92,93,94,93,92,90,90,89,90,91,93,94,95,94,92,90,87,85,84,84,85,86,86,87,89,90,93,95,97,98,99,99,98,98,97,97,98,98,98,99,98,98,97,96,96,96,98,99,101,103,104,105,106,107,107,106,106,105,104,103,101,99,97,95,94,94,96,98,100,102,103,103,102,100,98,96,95,94,93,92,91,90,91,91,92,92,92,92,92,91,91,91,92,93,94,95,94,94,92,91,90,90,92,97,104,112,120,126,128,124,117,107,97,88,82,80,81,84,89,95,100,105,108,110,110,108,103,98,93,89,86,85,86,89,92,95,98,99,100,99,98,96,95,93,92,90,89,88,87,87,87,87,86,86,85,85,85,85,86,86,86,86,86,87,87,88,88,87,87,86,84,84,83,84,84,86,88,92,96,100,104,108,111,112,112,112,110,109,107,106,104,103,102,102,103,104,106,107,109,111,112,113,112,109,105,100,96,94,92,92,92,92,91,91,90,89,88,87,87,86,86,85,84,84,84,84,83,83,82,82,81,81,81,82,83,86,91,96,100,101,100,96,91,87,86,86,89,92,96,99,102,103,102,100,97,93,90,88,88,89,91,91,92,91,90,89,88,87,86,85,84,83,83,83,83,83,83,83,82,82,82,82,82,81,81,81,81,82,82,82,83,83,84,87,92,98,104,109,112,111,109,107,104,101,99,97,96,96,96,96,97,96,96,95,95,95,96,97,97,97,97,96,95,93,91,90,88,87,87,86,87,88,90,93,95,98,100,101,101,101,100,99,98,98,96,95,94,92,91,90,90,90,90,90,90,89,89,89,88,88,88,88,87,87,86,86,86,87,89,91,93,96,99,100,102,101,100,98,95,93,92,91,92,93,94,94,94,94,94,95,98,102,107,112,114,114,110,105,100,96,96,97,101,104,108,112,114,114,113,110,107,103,99,96,95,94,95,96,96,97,97,97,97,96,96,95,95,94,94,94,94,94,94,94,94,94,94,94,93,92,91,91,90,90,90,91,92,94,94,94,93,92,91,90,89,89,89,90,90,90,90,91,91,91,91,91,91,91,91,91,91,91,91,90,90,91,91,91,91,92,94,97,100,104,107,109,111,113,116,119,121,122,122,119,115,110,107,105,105,107,111,116,120,123,122,118,111,104,98,94,94,96,99,102,104,104,104,104,105,106,108,109,109,107,104,101,97,94,92,91,92,94,97,99,101,102,101,99,96,93,91,88,86,85,84,83,84,85,87,90,92,92,92,90,88,88,88,90,93,97,100,101,101,98,94,90,87,87,88,92,96,100,103,104,103,102,102,102,104,108,113,118,124,128,131,133,134,133,133,132,132,133
17,99,100,98,94,90,86,83,83,84,87,89,91,92,94,94,95,94,93,93,92,92,92,93,94,95,97,99,101,104,106,106,106,106,105,105,106,106,105,104,102,101,100,100,101,102,103,103,103,102,101,100,98,97,95,92,90,89,88,88,88,88,88,88,88,87,87,86,84,80,76,71,68,67,67,68,69,71,74,77,81,85,90,93,97,100,102,103,101,97,90,83,75,69,65,64,64,66,69,73,78,82,86,90,93,96,98,99,100,100,101,101,101,102,104,106,108,109,110,110,109,109,109,109,109,108,106,104,102,101,100,100,100,100,101,101,101,100,99,98,97,97,96,96,95,94,94,94,96,99,103,107,111,113,115,116,118,121,124,127,128,128,128,126,124,122,120,119,117,115,112,109,107,106,106,108,110,112,114,116,118,121,123,124,123,119,114,108,103,100,98,97,98,99,100,101,102,102,103,103,103,103,102,102,102,101,100,99,98,98,98,98,98,98,98,98,98,100,103,109,115,123,133,142,151,159,163,165,164,160,153,146,138,130,123,118,115,113,114,116,119,123,127,131,134,135,135,133,130,127,123,120,118,117,117,119,120,122,123,124,125,128,131,133,135,136,137,137,137,136,135,133,132,131,130,130,132,134,136,137,135,132,127,120,113,107,103,100,100,102,105,109,112,115,118,120,123,125,129,132,136,140,142,145,146,146,146,145,144,142,141,139,137,135,131,125,117,108,98,88,78,71,66,63,62,63,64,66,68,70,72,74,77,81,86,92,98,105,111,116,119,119,118,117,115,114,112,111,111,110,109,108,107,106,104,102,100,98,95,93,91,90,89,88,88,87,87,86,85,85,85,85,85,86,86,87,87,88,88,88,87,86,85,86,87,88,89,91,91,92,93,93,93,93,93,94,94,96,99,104,109,115,121,125,127,127,125,121,117,112,109,106,104,104,105,107,108,109,108,107,105,103,101,100,99,100,101,103,106,109,111,112,112,110,107,104,101,97,95,93,92,92,92,92,92,93,96,100,107,116,125,133,139,143,145,145,142,139,135,130,126,121,117,113,109,105,103,101,100,100,101,103,105,106,107,108,108,109,110,111,113,114,114,114,113,112,111,110,109,109,108,106,104,101,99,97,96,97,99,101,104,106,108,110,110,110,109,107,105,103,101,98,96,94,93,91,90,90,90,92,96,102,109,117,124,130,132,132,129,124,118,113,107,103,101,100,101,103,105,107,108,109,108,107,105,104,103,104,105,106,107,108,107,106,104,101,98,95,92,90,88,87,88,90,95,102,111,121,130,137,140,141,140,133,134,134,135,136,137,138,138,137,135,133,130,128,127,127,129,131,133,135,136,137,136,135,134,132,130,128,128,128,129,130,131,131,131,130,129,128,126,125,124,123,122,121,120,118,117,116,116,115,115,115,115,116,116,116,116,115,115,115,115,116,116,116,117,116,116,115,114,112,111,111,111,111,112,112,113,113,113,114,114,114,114,115,115,115,116,116,116,116,116,116,117,117,117,117,117,117,117,117,118,118,119,119,119,120,106,106,106,105,105,105,105,105,105,105,104,103,102,102,101,102,103,106,110,114,119,122,124,126,126,126,126,125,123,121,118,115,111,107,103,99,96,95,95,97,99,103,107,111,116,120,123,125,125,123,121,118,114,111,109,107,107,108,111,115,118,119,119,118,117,118,120,125,130,135,139,141,140,137,132,127,123,120,119,117,115,112,109,107,104,102,100,99,98,97,96,94,91,90,90,92,95,99,101,101,98,95,91,87,84,82,80,80,80,80,81,82,83,84,85,86,87,88,89,91,95,99,105,111,116,120,120,118,113,107,101,97,93,93,94,97,101,104,107,109,110,111,112,112,111,110,108,106,103,100,99,99,101,103,105,107,108,110,111,111,110,108,104,101,97,94,93,92,92,93,93,93,92,91,89,88,87,88,89,91,94,97,101,104,108,112,115
18,89,84,80,76,73,70,69,72,77,85,93,99,104,106,106,103,99,94,88,83,80,77,74,70,66,63,61,61,62,65,69,74,78,82,85,87,88,87,85,84,84,85,88,90,91,91,88,85,80,75,70,66,64,63,63,64,66,68,71,74,77,79,80,81,80,79,77,75,73,72,72,73,74,75,75,75,74,73,72,72,73,76,80,84,88,92,94,96,97,98,100,102,105,110,115,120,124,124,122,118,114,110,106,104,101,99,98,98,99,101,102,104,105,105,105,105,104,104,103,102,102,101,101,101,102,103,104,105,106,107,108,109,111,112,113,114,115,115,114,113,111,110,111,113,117,123,131,140,148,155,159,160,159,155,149,142,134,126,121,117,117,120,124,129,132,134,133,130,126,123,123,124,127,131,135,138,139,140,140,139,139,139,139,138,136,133,130,128,126,124,123,122,121,119,118,116,115,114,114,116,118,120,121,120,117,113,109,105,103,103,104,106,108,110,111,112,112,112,112,111,110,109,107,105,103,101,100,99,99,99,99,99,99,99,99,100,101,102,102,102,102,102,101,100,98,97,95,94,93,93,93,94,95,98,101,106,111,116,121,125,128,130,130,130,128,125,120,114,108,103,100,99,98,99,99,99,98,96,95,93,90,88,85,83,81,81,82,85,87,90,92,93,93,93,92,91,90,89,88,88,89,90,91,92,92,91,90,89,87,87,87,88,90,92,93,94,94,94,94,95,95,96,96,95,94,93,92,93,93,94,94,95,95,95,96,96,97,97,98,98,97,97,96,96,95,95,95,95,95,95,95,94,93,92,91,89,87,85,84,83,82,82,81,78,75,72,69,67,68,70,73,78,81,84,86,87,87,87,86,86,85,84,83,83,82,82,81,81,81,81,82,83,84,86,88,92,95,99,102,103,104,103,101,99,96,93,90,89,87,87,86,86,86,86,86,87,88,89,90,91,91,90,90,89,89,89,89,89,89,88,88,88,89,90,93,97,102,107,112,116,119,120,119,117,115,113,111,109,106,102,98,94,91,90,91,93,96,98,98,97,97,98,100,103,104,104,102,100,99,101,103,106,108,110,110,111,111,111,110,110,110,109,109,110,111,112,112,112,110,108,104,100,96,92,89,86,86,87,90,95,102,108,113,115,114,110,104,99,94,91,90,90,92,93,95,96,96,96,95,94,94,93,93,94,94,95,94,94,94,93,94,94,96,98,100,101,102,102,101,101,100,100,101,101,101,101,101,100,98,98,97,97,98,99,99,100,100,100,100,100,100,100,99,98,97,96,95,94,94,93,92,92,92,93,94,95,96,96,96,95,94,93,93,93,94,95,97,97,98,97,96,94,93,91,90,89,88,87,85,84,83,82,81,80,79,78,77,76,75,76,78,80,83,84,86,87,87,88,88,88,88,87,86,85,84,84,84,84,84,85,86,87,88,89,89,89,89,88,87,86,85,85,85,85,85,86,86,86,86,86,86,86,85,85,85,85,85,85,86,87,88,88,89,89,89,89,89,89,89,89,90,91,93,95,99,103,109,113,116,117,116,113,109,104,99,95,91,88,86,84,84,84,84,84,85,85,85,86,86,86,86,86,88,90,93,96,99,99,98,95,92,89,86,84,83,84,85,87,89,91,92,93,94,95,96,96,97,97,97,96,96,95,95,95,94,94,93,92,91,90,90,90,90,90,90,90,90,90,91,92,94,99,106,115,126,138,150,160,167,172,174,174,172,169,165,161,158,155,153,152,151,150,148,146,144,142,139,136,133,129,125,121,118,115,114,115,118,121,125,128,129,130,128,125,122,118,114,111,109,108,109,111,113,115,116,117,118,117,115,112,109,105,103,100,99,98,98,99,101,104,108,111,114,116,117,117,116,114,112,111,109,108,108,108,110,111,111,111,109,108,106,104,103,102,101,101,101,101,102,102,102,102,101,101,101,101,101,102,102,101,101,101,102,102
19,93,93,93,94,94,94,94,94,94,94,95,95,95,96,96,97,97,96,95,93,91,90,88,88,88,88,89,90,91,92,92,93,94,94,94,93,92,92,91,91,90,89,88,89,90,92,94,97,99,101,103,104,104,104,103,101,99,96,94,93,93,94,96,97,96,94,91,88,85,83,82,82,83,85,87,89,91,92,92,92,91,90,90,91,92,93,94,94,94,95,96,97,98,99,100,100,100,99,99,98,98,98,98,99,99,98,98,98,98,97,97,97,97,96,94,92,90,88,86,86,86,87,88,89,89,89,89,89,90,94,99,105,111,114,116,115,113,110,107,103,101,99,98,98,98,99,101,104,106,108,108,108,106,105,103,102,101,100,100,101,101,102,101,100,98,95,93,91,90,90,91,92,93,93,92,91,91,91,92,93,94,93,92,91,89,87,86,86,86,86,87,88,89,89,89,89,89,89,89,88,87,86,85,83,82,81,81,81,82,84,87,91,94,98,100,100,100,99,99,100,101,102,103,102,100,98,96,96,97,99,101,103,103,102,100,98,97,96,97,98,99,100,99,97,95,91,89,87,85,85,86,88,91,94,97,99,100,100,99,97,95,91,88,86,84,83,84,85,86,87,88,90,91,91,92,92,92,92,92,92,92,92,92,91,90,89,89,89,90,92,93,95,95,95,95,95,96,96,96,96,96,96,96,97,99,102,108,114,120,125,126,123,119,115,112,110,110,110,110,109,108,106,103,101,101,101,104,107,110,112,113,113,113,113,112,110,109,107,105,103,101,100,99,100,101,103,105,106,106,105,104,103,101,100,99,98,98,97,97,96,94,93,91,91,91,91,91,90,89,88,86,84,82,80,79,79,79,79,79,79,79,79,79,79,79,80,82,85,90,96,103,111,120,128,135,139,140,139,136,131,125,119,112,106,101,99,99,100,102,105,106,106,106,106,105,104,103,102,101,100,100,100,101,103,105,108,110,111,111,111,110,108,106,105,104,104,105,107,110,112,113,114,114,113,112,112,112,113,114,115,117,118,119,119,118,116,114,112,110,109,108,109,109,110,110,111,112,112,113,113,113,113,112,111,109,108,107,106,104,103,102,101,101,100,100,100,100,100,101,101,101,102,102,101,101,101,101,101,101,101,101,102,102,102,102,102,102,102,102,102,101,101,100,100,99,99,99,99,100,100,99,99,98,96,96,95,95,95,95,96,97,98,100,101,103,105,108,111,114,117,118,119,119,119,118,118,117,118,118,118,119,120,121,123,126,129,133,137,139,140,138,136,133,129,125,121,117,113,111,112,115,120,125,130,133,133,131,126,121,116,112,109,106,104,102,101,100,98,98,98,100,102,105,107,110,111,111,109,108,105,102,98,94,91,89,88,87,87,87,87,88,89,90,90,91,91,90,91,92,94,95,97,98,98,99,100,101,102,102,103,103,103,103,103,102,101,99,96,93,91,89,87,87,86,86,86,85,84,84,83,83,83,84,85,86,88,89,90,90,90,90,89,89,89,89,89,89,88,88,88,88,88,88,87,87,86,85,85,85,85,86,88,89,91,92,92,92,91,91,91,91,92,92,93,94,95,95,95,95,96,97,100,104,110,117,124,130,135,137,136,132,127,122,116,110,105,101,98,95,93,92,92,91,91,91,91,91,90,90,90,89,89,89,88,88,88,88,88,88,88,88,89,88,88,88,88,87,87,88,89,91,95,100,105,109,112,113,112,111,109,108,106,105,103,102,100,99,98,96,95,94,93,92,91,90,90,89,89,88,87,87,86,86,86,86,87,87,87,87,87,86,86,85,86,88,91,95,100,104,107,109,110,110,110,109,108,107,106,104,103,102,101,100,100,99,99,99,98,97,97,97,97,97,97,97,96,95,93,91,89,88,88,88,89,91,92,93,94,95,96,97,98,99,99,99,98,96,94,92,90,88,86,83,81,79,78,78,78,78,78,78,78,78,77
20,103,103,103,103,102,102,102,102,102,101,101,100,100,100,100,100,101,101,102,103,103,103,104,104,104,104,103,103,102,101,101,100,99,98,98,97,97,97,96,96,96,95,95,95,95,95,95,94,94,94,93,93,93,93,93,93,94,94,94,93,93,93,92,92,92,92,92,92,92,93,93,93,93,93,93,93,93,93,93,93,93,94,95,96,97,97,98,98,98,98,97,97,97,97,96,96,96,96,96,97,97,97,98,98,99,99,101,102,105,109,112,115,117,117,118,117,117,117,116,115,114,113,113,113,114,116,118,121,123,125,126,125,123,121,118,116,114,114,114,114,115,116,116,116,116,115,114,113,112,111,110,110,111,111,113,113,114,114,113,114,114,116,118,119,120,120,120,119,119,119,119,119,118,118,118,117,118,118,119,120,123,125,128,131,133,135,135,134,132,129,125,122,119,117,115,115,115,116,117,118,118,118,117,116,115,113,111,109,108,107,106,106,106,105,104,103,101,100,99,98,97,97,96,96,95,95,95,95,96,96,97,97,97,97,97,97,97,97,96,96,95,95,95,95,95,96,96,96,95,96,97,99,103,109,117,125,134,141,145,147,146,143,139,136,133,132,131,131,132,132,132,132,132,132,132,131,130,128,125,121,117,114,112,111,112,114,116,118,119,119,118,116,114,112,110,109,107,106,105,105,104,103,103,102,102,101,101,101,100,100,99,99,98,98,97,97,96,96,96,96,96,96,96,96,96,95,95,95,95,94,94,93,93,93,93,93,93,93,93,93,93,93,92,92,91,91,91,90,90,90,90,90,90,90,91,91,91,91,91,91,91,91,91,90,90,90,90,90,90,90,91,91,92,92,93,94,94,94,95,95,95,95,94,94,93,93,92,92,91,91,92,92,93,94,96,98,102,107,112,116,119,120,120,118,116,114,112,110,109,108,106,104,101,99,98,96,96,95,95,96,97,98,100,101,103,104,104,105,105,105,105,105,105,105,105,104,104,103,103,102,101,101,100,99,98,97,96,96,95,94,94,94,94,95,95,97,99,102,105,110,113,116,118,119,119,118,117,117,116,117,118,120,123,126,129,132,135,138,140,142,144,146,147,147,148,148,148,146,142,137,131,125,120,116,115,115,116,118,121,123,124,125,124,122,118,112,104,95,88,106,104,104,103,104,104,104,104,104,104,104,104,103,103,103,103,102,102,102,102,101,101,100,100,100,100,100,102,104,108,113,119,126,131,135,137,136,134,130,126,123,121,119,119,119,119,119,119,118,117,117,116,117,117,117,117,117,116,117,117,116,117,117,117,117,117,116,114,112,111,109,108,107,106,105,104,104,103,102,102,101,101,102,104,107,109,111,111,110,109,108,106,105,105,104,104,104,103,103,103,102,102,101,100,99,99,98,98,97,97,97,97,97,97,97,96,96,96,96,96,95,95,95,94,93,93,93,92,92,92,92,92,92,92,92,91,91,91,90,90,90,89,89,89,89,90,90,90,90,91,91,91,91,90,90,90,89,89,89,89,89,90,90,90,91,91,91,90,90,89,89,89,90,91,94,96,99,101,103,104,104,104,104,103,103,103,104,105,107,109,111,113,115,117,118,118,118,118,116,115,112,110,107,105,103,102,101,101,100,100,100,100,99,99,98,97,97,97,98,100,104,108,112,115,118,120,121,121,120,120,119,119,120,121,122,123,124,125,127,128,129,129,129,128,126,124,122,120,118,116,114,113,111,110,108,107,107,106,105,105,104,104,103,103,102,102,103,104,105,108,111,115,118,121,124,126,127,127,126,125,123,121,120,118,116,114,113,112,111,111,110,110,110,110,111,111,111,111,111,111,112,113,114,115,115,116,117,117,118,120,121,122,123,125,128,131,135,138,141,144,146,148,149,148,147,144,140,136,132,129,126,123,122,121,120,119,120,121,122,123,123,123,122,120,119,117,115,113,110,108,107,105,104,103,102
21,157,157,156,154,151,148,144,141,139,138,137,136,136,136,135,134,132,130,127,124,121,118,115,112,110,109,110,112,115,117,119,121,122,123,124,124,124,125,126,127,128,128,128,128,127,126,125,123,122,119,118,116,114,113,112,111,111,112,113,115,117,118,118,117,115,112,109,107,104,102,101,100,98,97,96,95,94,94,95,97,100,103,107,111,114,116,117,117,117,116,116,117,120,124,131,139,148,158,168,177,186,194,201,208,214,218,220,220,217,212,205,198,190,183,178,173,170,167,164,161,157,153,149,145,142,139,136,134,132,130,128,125,123,121,120,120,121,123,124,123,120,116,111,106,100,94,90,85,81,78,75,73,72,72,72,73,73,72,72,71,71,72,73,76,78,80,81,81,80,80,81,84,89,98,109,121,133,143,151,155,157,158,157,156,155,155,154,154,153,153,152,150,148,144,140,136,133,131,131,132,134,134,134,132,128,124,119,114,109,105,102,100,100,101,103,106,109,112,115,118,120,121,121,119,114,109,102,96,90,85,81,78,76,75,74,74,73,73,73,72,72,72,71,71,71,71,71,71,72,72,73,73,73,72,72,71,71,70,70,70,69,68,68,67,66,66,65,65,65,65,65,64,64,65,67,70,75,82,90,97,105,111,116,121,125,130,136,141,147,152,156,159,160,161,159,158,157,156,155,155,155,155,154,153,150,149,148,148,150,153,157,161,164,167,168,169,168,167,165,163,159,155,150,144,137,129,123,118,114,112,112,112,112,113,114,116,117,119,121,122,123,123,122,120,118,115,113,112,112,112,114,115,117,119,120,120,121,122,123,125,128,130,133,136,138,140,142,143,143,143,142,140,140,140,141,142,144,145,146,147,148,148,148,148,148,148,147,146,145,144,144,143,143,143,142,140,137,133,129,124,120,116,112,109,106,103,101,99,99,98,99,99,99,99,98,98,99,100,103,108,113,119,125,130,135,139,141,142,141,138,134,129,123,119,114,112,111,111,113,117,121,126,130,134,138,142,145,147,149,149,149,148,146,144,142,140,138,135,133,131,128,126,124,121,119,117,116,114,113,113,112,112,111,111,111,110,110,110,109,109,109,108,107,106,104,103,101,101,100,100,100,100,100,100,101,101,102,104,106,110,115,121,128,136,144,151,156,161,164,167,170,173,177,180,181,180,178,175,172,171,172,177,183,189,195,199,200,198,194,188,181,173,167,162,160,158,158,157,156,153,149,145,142,141,141,142,144,145,146,147,147,146,146,145,143,141,137,132,126,119,113,107,101,96,92,89,87,86,85,83,83,82,82,81,82,82,81,81,81,82,83,86,91,98,105,111,116,118,119,120,119,118,117,115,115,115,117,119,122,125,128,130,132,134,135,136,136,136,136,135,135,134,133,133,133,134,134,135,135,136,136,136,137,138,139,140,140,139,138,135,133,130,127,124,122,120,119,118,118,119,120,121,121,122,122,122,122,123,123,123,123,123,123,124,124,125,126,126,126,126,126,125,125,125,125,126,126,127,127,127,127,127,127,127,128,128,130,131,132,132,133,133,133,133,133,133,133,133,134,135,136,137,138,138,137,137,136,135,135,134,134,133,132,132,131,131,130,129,128,127,127,128,131,135,141,148,155,162,169,175,179,182,183,181,179,175,170,165,160,154,149,144,139,135,132,128,125,121,118,115,113,111,112,114,118,123,129,136,142,149,155,161,166,171,174,177,177,176,174,170,165,160,155,150,146,143,141,140,139,138,137,136,135,133,131,130,128,127,128,130,132,136,140,144,148,152,155,158,160,160,158,154,149,143,138,132,127,122,117,111,105,100,95,92,89,87,86,87,88,89,91,92,93,94,94,93,92,91,90,90,91,93,97,102,106,111,115,118,122,125,128,130,132,134,136,137,139,140,141,143,144,145,145,144,141,137,131,125,119,114,110,106,104,103,103,105,106,108,110,113,115,118,121,124
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27,78,83,85,86,85,84,82,80,79,78,76,75,73,72,71,71,72,73,73,72,71,70,69,69,70,70,71,71,70,70,69,69,70,71,73,74,74,74,73,71,70,68,68,67,67,66,66,66,68,70,73,76,79,80,81,79,77,74,71,68,66,65,65,66,66,67,67,67,67,66,65,65,64,65,66,67,68,69,69,69,69,69,68,68,68,68,69,71,75,80,84,87,89,90,90,90,91,92,93,93,92,91,90,89,90,92,94,96,98,100,101,101,102,102,102,101,101,101,101,101,101,101,100,100,100,100,100,101,102,102,102,102,101,100,99,99,100,104,110,118,124,127,126,121,115,110,106,105,107,110,113,116,118,119,120,119,119,117,116,115,114,114,113,113,113,114,114,114,114,113,112,110,109,107,105,104,104,105,106,107,108,108,108,108,108,108,108,108,108,108,107,106,105,104,104,103,103,103,103,104,104,104,104,104,103,103,104,104,106,106,107,106,105,104,103,102,101,101,101,101,101,100,100,99,99,98,98,97,98,98,98,99,99,98,97,95,94,93,93,96,101,108,117,125,132,136,137,137,136,134,131,129,126,124,122,121,121,122,123,123,123,121,119,117,114,112,112,112,114,118,122,127,131,135,138,139,139,138,135,131,127,123,119,116,113,111,109,108,108,108,108,109,109,109,109,109,109,108,106,104,102,101,101,101,101,102,102,103,103,104,105,105,106,106,106,106,106,107,108,109,110,110,110,110,109,108,107,106,106,106,107,107,106,105,104,104,104,104,104,104,103,102,101,100,98,97,97,97,97,98,98,99,99,99,99,99,99,99,100,100,100,100,99,97,96,94,92,91,90,90,90,91,92,93,94,94,95,95,96,96,96,96,96,96,96,96,96,95,94,93,92,91,91,92,92,93,93,94,94,94,93,93,94,94,94,93,93,92,92,91,91,91,91,90,90,90,90,90,89,89,89,89,88,88,86,84,81,78,76,75,76,77,79,81,82,82,82,82,82,84,85,88,91,93,96,98,100,101,102,103,104,105,106,107,107,106,105,103,101,99,98,97,96,96,96,96,96,97,96,96,96,96,96,98,99,100,101,101,101,100,100,100,100,100,100,100,100,100,99,99,98,97,95,94,91,89,88,87,86,85,84,84,83,83,83,83,83,83,83,83,82,82,83,83,84,85,86,86,87,87,87,87,87,87,86,86,86,85,85,85,86,87,89,91,93,96,98,101,103,104,103,102,99,97,95,94,95,98,103,110,117,125,132,138,143,146,147,145,142,137,130,124,120,117,116,118,121,126,130,134,137,140,143,145,146,147,146,145,142,139,136,132,129,126,124,121,118,116,113,110,108,106,104,103,103,105,108,110,112,113,112,109,106,103,99,97,95,94,94,94,94,94,94,94,94,94,94,94,94,93,92,91,91,91,91,91,92,92,92,92,92,91,91,91,91,91,90,90,90,90,90,89,89,89,89,89,89,88,87,86,85,83,82,81,81,81,81,82,83,84,84,85,85,85,85,85,85,85,85,86,86,86,86,86,86,85,85,85,85,85,86,87,88,88,88,88,87,87,87,87,87,86,86,85,84,84,83,83,83,83,84,84,85,86,86,87,87,87,87,87,87,87,87,86,86,86,86,86,86,86,87,87,87,87,86,86,86,86,86,86,85,85,84,84,84,84,84,84,83,83,83,83,84,84,85,86,86,87,88,89,90,90,89,89,91,94,99,106,113,119,122,123,122,119,116,111,108,105,104,105,107,109,111,112,113,112,110,108,104,101,98,95,92,90,88,87,86,87,88,89,90,91,91,92,92,92,93,93,94,94,94,94,94,94,94,94,94,93,93,92,92,92,92,92,92,91,90,89,88,87,87,88,90,95,102,110,120,129,137,143,147,150,152,153,154,154,153,150,146,141,137,133,130,127,124,122,121,122,124,126,128,129,128,126,122,118,113,108,104,100,97,95,94,94
28,96,98,99,100,102,103,104,106,107,108,109,110,110,110,110,109,107,106,104,103,102,101,101,101,100,99,97,95,92,91,90,89,89,90,90,91,91,91,91,90,89,89,88,88,89,89,90,91,92,92,92,92,92,92,91,91,91,91,91,91,92,92,92,92,92,92,92,92,92,92,92,93,93,94,94,95,95,96,96,96,97,97,97,96,96,96,96,96,97,98,98,99,99,99,99,98,98,98,98,99,101,103,107,111,116,119,122,124,124,123,121,119,116,113,111,109,109,108,109,110,111,113,114,115,116,116,115,114,112,110,107,105,103,102,101,101,101,100,100,100,99,98,98,97,95,94,93,91,90,89,89,89,89,89,89,90,90,91,91,92,93,94,96,98,100,102,104,104,104,103,101,100,99,99,99,99,100,101,102,103,104,104,104,104,103,103,102,100,99,99,98,99,100,101,102,103,104,105,106,106,106,106,104,102,100,97,95,93,92,93,94,96,99,101,104,106,107,107,105,103,100,97,94,92,91,90,89,89,89,88,88,88,88,88,88,88,89,89,89,89,89,89,89,89,89,89,89,89,89,88,88,88,88,88,88,88,88,87,87,86,86,85,85,85,85,85,86,86,86,86,85,86,86,87,89,92,94,97,99,101,103,103,103,103,102,101,100,100,99,98,98,97,97,96,95,95,95,94,95,95,95,95,95,95,95,96,96,97,99,100,101,101,102,101,101,100,99,98,97,97,97,98,98,98,98,98,98,99,99,99,100,100,100,99,98,97,97,96,95,95,95,95,96,96,96,97,97,97,97,97,97,97,98,98,98,98,98,98,98,97,96,94,92,91,90,90,90,91,92,93,95,96,97,98,98,98,98,98,98,98,98,98,98,98,98,98,98,97,97,97,97,97,96,96,95,95,95,95,94,94,93,92,92,92,92,92,92,92,92,92,92,91,91,90,90,90,90,89,89,89,88,88,87,88,89,91,95,99,103,106,109,111,112,112,111,110,109,108,106,104,101,98,96,93,91,89,87,86,85,84,84,83,83,83,83,83,83,83,82,82,81,80,78,77,77,76,76,76,76,77,77,78,78,78,79,79,80,82,83,86,89,91,94,96,98,99,100,100,99,98,97,96,94,93,92,92,91,91,91,91,92,92,92,92,91,90,89,88,87,87,87,87,87,87,88,89,89,89,89,88,87,87,86,86,86,87,88,89,89,90,90,91,91,90,90,89,88,87,86,85,84,84,84,84,85,86,87,88,90,90,90,90,89,89,89,90,91,92,93,94,95,95,94,94,93,94,94,95,95,96,96,96,95,95,95,95,95,95,94,93,92,92,91,91,91,92,92,92,92,93,93,95,96,97,98,99,99,100,101,101,102,102,101,101,100,100,100,100,100,100,99,99,98,97,97,97,98,100,102,103,104,105,104,104,102,100,98,96,95,93,92,91,90,90,91,91,92,93,94,94,95,94,94,93,92,91,90,89,89,90,91,93,94,96,97,97,98,98,98,98,98,98,97,97,96,94,93,92,91,90,89,89,89,89,89,90,90,91,91,91,92,92,92,92,92,92,92,92,93,93,93,93,93,93,93,93,93,93,93,93,94,94,94,94,94,93,93,93,93,92,92,92,91,91,91,91,92,92,92,93,93,94,95,95,96,95,95,94,93,93,93,93,94,95,96,96,96,95,95,94,94,94,94,94,94,94,93,93,92,91,90,89,88,87,87,87,88,88,88,88,88,88,88,87,87,86,86,86,85,85,85,85,85,85,85,85,85,85,85,84,84,84,84,84,84,84,84,84,84,84,84,85,85,85,84,84,84,85,87,90,94,99,104,109,113,116,117,118,117,115,113,110,107,105,102,101,99,98,98,97,97,97,97,97,97,97,96,96,96,96,97,98,98,98,97,96,95,94,93,92,92,93,93,94,95,95,95,95,95,94,94,94,93,93,92,92,92,92,92,93,94,95,97,99
29,88,87,86,86,85,85,85,84,84,84,84,84,83,83,82,82,82,81,81,80,80,80,79,79,79,79,79,79,79,79,79,80,80,80,81,81,81,81,82,82,82,82,82,82,82,82,82,82,82,82,82,82,82,82,82,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,84,84,84,84,84,84,85,85,85,85,85,85,85,86,87,90,93,97,100,103,104,104,102,100,98,95,92,90,88,87,86,86,86,87,88,89,89,89,88,87,86,84,83,82,82,81,81,81,80,80,80,80,80,80,81,82,84,86,88,90,92,92,93,92,91,90,88,87,86,86,87,89,91,94,96,98,98,97,96,93,91,89,88,87,86,87,88,90,92,94,95,95,94,93,92,91,90,90,90,90,90,90,91,91,91,91,90,90,89,88,87,87,86,85,84,83,83,82,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,82,82,82,82,82,81,81,81,81,81,81,81,81,81,81,82,82,82,82,82,82,82,82,82,83,83,84,84,84,85,85,86,86,86,86,87,87,88,88,90,91,92,92,92,92,91,90,90,89,90,91,94,99,103,108,113,117,120,122,124,124,124,124,123,122,121,119,117,114,111,108,105,102,100,98,98,99,100,102,103,104,104,103,102,101,101,101,101,101,102,103,104,104,105,105,104,103,103,103,103,104,105,106,106,107,107,107,106,105,104,103,102,101,100,100,100,99,99,99,99,98,98,98,98,98,98,97,97,97,96,96,96,95,95,95,95,95,94,94,94,94,93,93,92,92,92,92,92,92,93,93,93,93,93,93,93,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,91,91,91,91,91,91,91,91,92,92,92,93,93,93,93,93,93,94,96,98,102,106,110,114,116,117,117,116,114,111,109,107,105,103,101,99,98,97,96,95,94,94,93,93,92,92,92,92,93,94,96,99,102,104,106,107,108,109,109,109,109,109,109,108,107,107,106,106,106,107,107,107,108,108,107,107,106,105,105,104,104,103,102,101,100,99,99,98,98,98,99,99,99,99,100,100,100,100,100,100,99,99,98,98,97,97,97,97,97,98,98,99,99,99,98,97,96,96,95,95,95,96,96,96,96,97,97,97,96,96,96,95,95,94,94,94,93,94,94,95,97,98,100,102,104,104,104,104,103,102,101,100,99,99,99,99,99,99,99,99,99,99,99,99,99,100,100,100,101,102,102,103,103,102,102,102,102,102,102,102,102,102,102,102,103,105,107,109,111,112,112,111,109,106,103,100,97,94,92,90,89,89,89,89,89,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,89,89,89,89,89,89,89,89,89,89,89,89,88,88,88,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,88,88,88,88,88,89,89,89,89,89,89,90,90,92,95,98,102,106,110,113,114,115,114,112,110,107,104,101,98,95,93,90,89,87,87,87,88,88,89,89,89,89,88,88,87,86,85,84,83,83,83,83,83,82,82,82,82,82,82,82,82,82,83,83,84,84,85,85,85,85,85,85,84,84,84,83,83,83,83,83,83,83,84,84,85,86,87,88,89,90,91,92,94,95,96,98,100,102,104,106,108,109,110,109,108,106,104,101,100,98,98,99,100,101,103,104,104,104,103,101,98,95,93,91,90,89,89,89,89,90,90,91,92,93,93,93,92,91,89,88,86,85,85,85,85,85,86,86,86,87,87,87,86,86,86,87,87,88,89,90,90,90,90,90,89,89,89,89,89,89,89,89,89,88,88,88,89,90,93,96,99,102,103,104,104,102,101,98,96,94,93,92,92,92,93,94,95,96,98,99,100,101,101,100,99,97,94,93,91,90,89,89,88,89,89,90,90,91,91,91,91,91,90,89,88,88,88,88,88,88,88,88
30,84,85,86,87,89,90,91,93,94,96,98,99,101,102,102,101,99,96,93,90,87,85,84,83,82,82,82,82,83,83,84,85,85,86,86,86,86,86,87,87,88,90,91,93,95,97,100,102,104,105,106,105,104,101,99,99,101,106,114,123,131,136,139,140,139,138,135,133,130,126,122,116,109,100,92,85,81,79,79,79,80,81,82,84,86,89,91,93,95,97,100,103,106,110,112,113,112,110,107,105,104,104,103,103,103,103,103,103,103,103,104,105,107,108,110,110,110,110,110,110,110,112,113,115,116,116,115,113,111,109,107,106,106,105,105,104,104,103,102,101,100,98,97,96,96,96,96,98,100,101,102,102,101,99,97,95,94,92,92,91,91,91,92,93,96,100,104,108,111,113,114,115,114,114,114,114,113,113,112,111,109,109,109,109,109,110,110,109,109,108,108,108,109,110,110,111,112,112,112,112,111,110,110,109,108,106,106,105,105,105,105,105,105,105,105,105,105,105,105,105,106,106,107,107,108,108,108,107,107,107,106,105,105,105,105,106,107,107,107,106,104,103,103,104,108,113,119,125,129,132,132,131,129,126,123,120,118,116,115,115,117,119,123,126,128,129,128,124,120,116,113,111,111,112,113,114,115,115,115,114,115,116,116,115,113,111,109,108,107,108,109,110,111,113,115,117,119,120,121,120,118,115,111,106,102,99,98,97,96,96,96,96,96,95,95,95,96,96,96,96,96,95,95,94,94,94,94,94,95,95,95,95,95,96,96,96,96,97,97,97,98,98,99,99,99,99,99,99,99,99,99,100,100,100,101,101,101,101,101,101,101,102,102,102,101,100,98,96,95,95,95,95,96,96,96,96,96,96,96,96,96,96,96,96,97,97,97,97,97,97,97,97,97,98,99,100,102,104,106,108,108,107,106,103,101,99,97,95,93,93,92,92,92,93,93,93,93,94,94,93,92,91,88,86,84,83,82,82,82,81,81,81,81,80,78,77,76,75,75,76,78,80,83,88,92,97,101,104,106,106,105,104,103,102,102,101,101,100,100,98,97,95,94,93,93,93,93,94,94,95,95,95,95,95,95,94,94,94,95,96,97,98,99,99,99,98,97,96,96,97,99,102,105,108,110,111,110,107,105,102,99,98,97,96,96,97,98,99,99,100,100,100,100,99,99,98,98,98,97,97,97,97,98,99,100,102,103,104,104,102,100,97,95,93,91,91,90,90,89,88,87,86,86,85,86,88,90,93,95,95,93,90,87,85,85,88,92,95,98,99,99,98,96,95,93,93,92,93,94,95,96,96,96,95,94,93,92,92,92,92,92,91,90,89,88,87,87,87,87,88,88,88,87,86,86,85,85,85,85,85,85,85,85,84,84,84,83,83,83,82,82,82,82,81,81,81,80,80,79,79,79,79,80,80,81,81,82,82,83,83,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,85,85,86,86,86,85,85,85,85,86,86,87,88,88,88,88,88,88,88,88,88,88,88,88,87,87,87,87,86,86,86,85,85,85,85,85,85,85,85,86,87,89,90,91,91,91,90,89,88,87,86,86,86,86,87,87,88,88,89,89,90,90,90,89,88,87,86,86,86,86,86,86,85,85,85,86,87,89,91,93,96,101,106,112,118,122,123,121,117,113,109,106,106,107,109,113,117,121,125,127,128,127,125,122,118,115,112,109,106,103,100,98,96,95,94,93,92,91,90,89,89,88,87,87,87,87,88,88,90,91,93,95,98,100,101,101,100,99,98,99,101,103,105,106,106,106,105,105,106,107,108,109,108,107,105,102,100,98,98,100,103,107,111,115,118,119,119,118,115,112,110,108,108,109,110,111,112,112,111,110,107,105,102,100,99,100,103,107,112,117,121,123,124,123,120,117,112,108,104,100,97,95,96,99,103,108,112,115,116,116,115,113,111,109,108,107,106,105,103
33,97,98,99,99,99,99,98,96,94,93,92,92,91,91,91,91,90,89,89,88,87,87,87,87,87,88,89,90,91,91,92,92,92,92,91,91,90,90,90,90,90,91,91,91,91,91,91,91,92,92,92,90,89,86,85,84,85,86,86,85,84,83,82,82,83,84,84,85,85,85,85,84,83,83,82,81,81,81,81,81,80,80,79,78,78,77,77,78,80,82,85,87,88,89,90,91,92,93,94,95,97,98,99,100,100,99,99,98,97,97,97,98,99,101,102,104,105,105,105,105,105,104,103,102,100,99,98,98,97,97,97,96,96,95,94,93,92,92,92,92,92,92,91,90,90,90,90,90,90,90,90,89,87,86,86,86,86,87,89,90,90,91,90,90,90,90,90,90,90,90,91,93,95,97,100,103,107,110,113,115,117,118,119,120,121,121,122,121,121,120,119,118,117,117,116,115,114,113,112,111,111,112,113,113,114,114,113,113,111,109,107,104,101,99,96,94,92,91,89,88,87,86,86,85,84,83,82,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,82,83,84,84,84,84,84,84,84,85,86,87,89,90,91,93,94,96,98,100,102,103,103,103,102,102,101,100,100,99,98,97,96,96,96,97,97,98,99,100,100,101,101,102,104,105,106,107,108,107,105,103,101,99,98,98,99,100,101,103,104,105,105,106,107,108,108,108,108,107,106,105,105,105,105,104,104,104,104,104,103,103,103,103,103,102,101,99,96,92,88,84,82,82,84,87,90,92,94,95,96,97,97,98,98,98,98,98,97,96,95,93,92,91,92,92,93,94,94,93,92,91,91,92,93,95,96,97,98,98,98,97,96,96,96,96,97,98,99,100,101,101,101,101,102,102,103,104,105,106,107,107,107,107,106,105,103,102,101,100,99,98,97,97,96,96,96,95,95,95,94,92,90,87,83,80,78,77,78,79,80,81,82,82,83,84,85,86,88,89,90,90,90,89,89,89,89,90,90,91,92,95,98,101,104,105,105,105,103,102,102,103,104,106,108,110,111,112,112,111,110,109,107,105,103,102,101,101,101,101,101,101,102,102,102,102,101,101,100,99,98,97,96,95,94,93,92,92,91,91,90,90,90,90,90,89,90,90,90,90,91,91,91,91,91,91,90,90,91,91,93,95,98,102,106,111,115,118,119,119,118,116,114,112,110,110,110,111,113,116,118,120,122,122,122,120,117,115,112,109,107,106,105,105,107,108,111,113,114,115,115,114,113,112,111,111,110,109,109,108,107,106,103,100,96,92,89,87,87,87,87,89,90,91,93,94,94,94,94,93,91,90,88,86,85,84,84,83,82,81,80,79,78,77,77,77,77,77,77,77,78,79,80,82,84,85,86,87,88,88,88,87,87,87,86,86,86,86,86,86,86,86,85,85,85,84,82,80,78,76,75,76,77,78,79,79,79,77,76,74,73,73,73,74,76,79,81,84,86,87,86,85,83,81,80,79,79,80,82,83,84,85,85,85,85,84,84,84,84,85,86,86,87,87,87,88,88,89,89,89,89,89,91,92,94,95,96,96,96,95,95,94,94,93,92,91,91,90,91,92,93,95,97,99,102,103,105,105,105,104,104,103,103,103,103,105,107,109,111,112,113,112,111,109,106,104,102,100,98,96,95,94,94,94,96,97,99,100,102,103,104,105,104,104,102,100,98,96,94,92,91,90,90,90,90,90,90,91,91,90,90,90,91,91,91,91,91,92,92,93,93,93,94,94,94,94,93,93,93,93,93,93,93,93,94,94,94,94,94,94,94,94,95,96,96,97,97,97,97,96,96,96,96,95,95,95,94,92,91,90,90,91,92,93,93,94,94,95,96,96,96,97,97,97,98,99,99,100,100,100,100,100,100,101,102,103,105,108,110,112,115,117,118,120,121,121,121,121,120,119,119,119,120,120,120,120,119,118,118,118,118,118
34,88,90,90,90,89,88,87,86,85,85,85,85,85,85,84,84,83,82,81,81,81,81,81,80,80,80,80,81,81,82,83,84,84,84,84,84,84,85,85,86,86,87,88,88,88,88,87,87,87,87,88,88,88,89,90,91,92,91,91,90,89,89,89,90,91,91,91,91,91,91,91,91,91,91,92,92,92,93,93,93,93,94,94,95,95,94,94,93,93,93,94,95,97,99,103,108,113,117,118,116,113,108,105,103,103,106,109,111,113,115,115,115,115,114,113,112,111,109,108,108,108,108,107,106,104,101,99,98,97,98,99,100,101,100,100,98,97,95,94,94,93,93,93,93,92,91,90,89,88,89,90,91,92,93,93,92,92,91,91,91,92,93,95,95,95,95,95,95,95,96,96,96,96,96,95,95,94,94,93,94,95,99,104,110,116,121,124,123,121,118,115,112,110,107,104,100,97,95,95,96,99,101,103,104,104,103,102,101,99,98,97,97,98,99,101,102,103,102,100,96,93,89,87,85,85,85,86,87,88,90,90,90,90,90,89,88,87,87,87,86,87,87,87,87,87,87,86,86,87,88,90,92,94,95,96,96,96,96,96,96,96,96,95,94,93,92,91,90,90,90,90,90,90,92,95,100,105,111,116,119,121,122,122,122,121,120,118,115,113,109,106,102,99,96,94,93,92,92,92,92,93,94,95,96,96,96,95,95,93,92,90,88,87,86,85,84,83,83,82,83,84,85,86,86,86,85,83,82,81,81,80,80,79,78,77,76,76,75,75,76,76,77,79,80,82,83,83,82,81,80,78,77,77,79,82,85,87,88,89,90,91,93,95,97,98,99,100,100,100,100,100,101,101,101,101,102,103,104,105,106,107,107,106,104,102,101,100,101,102,105,109,114,120,126,131,135,137,138,137,134,130,125,120,116,112,109,106,104,103,102,101,101,100,100,100,100,99,99,98,97,96,95,96,96,97,99,100,102,103,104,105,104,104,103,101,99,97,95,93,92,93,94,96,98,99,99,99,99,98,98,97,97,97,96,95,94,93,92,92,92,93,95,99,103,110,118,127,136,143,148,151,151,150,147,143,139,135,131,127,124,121,120,120,121,124,126,127,126,123,119,113,107,102,99,97,98,99,102,104,105,104,103,102,100,100,99,99,98,97,97,97,97,97,97,97,97,96,95,95,94,93,93,93,92,92,91,90,89,88,87,86,86,86,86,86,85,84,83,82,82,82,83,84,85,86,86,86,86,88,90,95,100,107,113,118,121,123,122,121,118,116,113,110,107,104,100,96,93,90,88,87,87,89,91,94,97,99,101,103,104,104,105,105,106,107,108,108,108,108,106,104,102,99,96,94,92,91,92,93,94,96,97,98,99,101,102,103,103,103,103,101,100,99,99,98,98,97,97,97,97,97,96,95,93,92,91,91,90,90,90,90,90,90,90,91,91,92,92,93,93,93,93,93,92,92,91,91,91,91,91,91,92,92,93,93,93,92,92,92,92,91,91,90,90,89,89,89,89,89,89,89,90,90,91,92,93,94,95,95,95,95,94,93,93,92,92,92,91,91,91,90,90,89,89,88,88,87,87,87,87,88,88,88,88,88,87,87,87,87,89,90,92,95,98,101,103,104,106,109,111,114,115,116,115,113,110,106,101,98,95,94,94,95,97,98,98,99,100,101,102,102,102,102,100,98,96,94,93,91,91,90,91,91,92,94,96,97,99,100,101,101,100,98,96,94,93,92,91,90,89,88,87,87,87,87,88,88,88,88,88,88,89,89,90,90,90,89,88,88,87,87,87,88,88,88,88,88,87,87,87,86,86,86,86,86,86,87,87,87,87,87,86,85,84,83,82,83,84,85,87,90,93,98,103,107,111,114,116,117,117,115,112,108,103,97,92,88,84,82,81,82,85,87,90,92,94,94,94,95,96,98,100,102,104,105,106,106,105,104,102,101,99,97,96
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39,92,92,91,91,92,92,92,93,93,93,94,97,100,105,112,120,128,136,143,147,148,147,144,140,136,133,131,131,131,132,132,132,132,130,127,124,120,116,114,113,113,115,117,119,119,118,115,113,111,110,110,111,113,116,119,122,124,124,121,117,111,105,101,100,100,102,104,106,106,107,106,105,105,105,104,105,105,105,106,106,106,106,105,105,105,105,105,105,105,105,105,105,105,104,104,104,104,104,104,104,104,104,103,103,102,102,101,101,100,100,99,99,99,99,99,99,99,99,99,98,98,98,98,97,96,95,95,95,95,95,95,95,95,95,94,94,93,92,93,96,101,109,118,126,132,134,132,127,120,113,106,102,99,98,97,97,98,100,102,103,105,106,105,104,102,99,96,94,91,89,88,88,89,92,95,101,107,113,118,121,122,121,119,116,112,108,103,98,93,91,90,91,92,95,97,99,100,101,102,103,104,105,107,108,107,106,105,105,105,108,111,115,117,118,117,114,110,107,105,105,107,110,114,116,118,118,115,111,106,100,95,92,91,91,92,94,96,97,98,98,98,97,98,99,102,104,105,104,102,98,95,93,93,94,95,96,97,96,95,93,91,89,88,87,86,86,86,85,85,84,83,82,82,81,80,80,80,81,81,82,83,84,84,85,85,85,85,85,85,85,86,87,87,88,89,89,89,89,88,88,88,87,87,88,88,89,90,90,90,90,90,90,90,89,89,88,87,86,86,87,87,88,89,89,89,89,89,89,89,89,89,89,88,88,87,87,87,87,87,87,86,86,87,87,88,88,89,90,90,91,91,92,92,92,92,92,92,92,92,92,93,94,97,99,101,103,103,103,104,106,110,115,122,127,130,129,124,117,110,104,100,97,95,94,94,95,97,98,99,100,101,103,106,110,114,117,119,118,116,112,109,105,102,99,97,97,98,99,100,102,103,105,106,107,108,108,108,106,105,103,102,101,101,102,102,102,103,104,104,105,106,108,110,112,112,110,108,105,104,105,108,113,117,119,119,117,115,113,112,111,111,111,111,112,113,114,115,116,116,115,114,111,107,105,103,103,104,106,107,108,109,109,109,109,108,107,107,106,106,106,107,107,108,108,108,108,107,106,104,101,99,98,98,100,102,104,105,105,105,106,107,111,117,125,134,141,146,148,147,144,140,138,136,137,139,142,143,143,140,136,131,127,125,123,123,123,122,120,117,112,109,106,105,106,108,110,111,111,109,107,105,103,103,103,104,106,107,108,108,108,108,108,107,106,106,105,104,103,102,101,100,100,101,103,105,107,108,108,107,106,105,105,105,106,108,109,110,110,110,110,109,109,109,109,110,110,110,111,112,113,113,112,111,110,109,108,107,106,107,109,112,116,119,121,121,119,116,112,109,107,106,106,106,106,107,107,108,108,109,110,110,111,113,114,115,115,115,114,113,112,112,113,113,114,115,115,115,114,114,113,113,114,114,114,114,114,113,113,114,114,114,114,114,113,113,113,114,113,113,113,112,111,110,110,109,109,109,109,109,108,108,107,106,106,107,111,117,126,137,147,156,161,164,164,163,161,158,153,146,137,127,118,110,104,101,101,103,105,108,111,114,116,118,119,120,120,120,120,119,118,117,116,115,114,114,113,114,114,114,115,115,114,113,112,112,111,110,109,108,107,106,106,107,110,115,120,125,129,132,133,131,129,126,123,121,119,117,116,116,115,115,115,115,115,114,114,113,113,112,112,111,111,111,111,112,112,112,112,112,112,111,110,109,108,107,107,107,108,110,113,116,120,122,125,125,125,123,119,116,111,107,103,99,94,90,86,84,84,86,91,97,104,109,112,114,115,116,116,115,113,110,106,102,98,95,93,93,95,97,100,102,104,104,103,100,97,94,92,90,89,89,89,88,89,91,93,97,100,102,103,103,101,99,97,95,94,93,93,93,94,95,96,97,97,98,98,98,97,97,96,95,95,94,94
40,89,92,93,94,94,93,91,89,86,84,81,79,76,74,73,72,72,73,74,75,77,78,80,82,83,84,84,82,80,77,75,73,73,73,73,74,75,75,74,73,71,70,68,68,67,68,69,71,73,74,75,76,78,79,81,84,85,86,87,86,86,87,87,88,89,90,90,90,91,92,94,96,97,98,98,98,98,98,98,98,97,96,94,93,92,91,90,91,91,92,92,93,93,93,93,93,92,91,89,87,85,82,80,79,78,78,79,80,80,81,81,82,83,85,87,88,90,92,95,98,101,104,106,108,108,108,108,108,107,107,108,109,110,111,111,111,109,108,107,106,105,104,103,101,100,98,95,92,90,89,88,88,89,91,92,92,93,92,91,90,90,91,94,98,102,106,109,110,111,110,109,107,105,103,100,99,97,96,95,95,94,95,96,97,99,101,103,106,108,108,107,104,99,93,88,84,82,82,83,85,87,88,89,89,89,89,89,90,91,92,93,93,93,93,92,92,93,93,93,94,94,94,94,94,95,95,95,94,93,93,94,96,100,105,111,115,118,117,114,109,104,100,96,95,96,97,100,103,107,110,113,116,117,118,118,117,115,112,108,105,102,100,98,97,98,99,100,101,102,103,103,103,103,103,102,100,98,96,95,94,94,95,96,96,96,95,94,92,90,89,87,87,86,86,86,86,86,86,86,86,85,84,83,83,82,82,82,82,82,82,82,82,81,81,80,80,79,79,79,78,78,78,79,79,80,80,81,80,80,79,77,77,77,77,78,78,77,77,76,77,78,79,80,80,81,82,83,85,87,89,90,91,91,91,89,88,87,86,85,85,84,83,82,81,80,80,80,82,84,88,92,96,99,101,102,103,103,103,103,103,103,102,101,100,98,96,95,94,94,93,93,92,91,91,90,90,89,90,90,90,90,90,90,90,90,90,91,92,94,97,100,103,106,108,108,108,106,104,102,100,98,96,95,93,93,93,93,94,94,94,94,94,93,91,90,90,89,89,89,88,88,89,89,90,92,93,95,97,99,101,102,103,104,105,106,107,108,108,106,104,101,98,96,95,96,97,99,100,100,99,97,94,92,91,90,90,90,91,91,91,91,91,91,91,91,91,90,89,89,89,91,94,99,106,113,120,126,128,128,125,120,113,105,98,91,87,84,83,82,83,84,85,85,86,86,85,85,84,83,83,83,83,83,85,89,93,100,106,111,115,116,116,115,114,113,112,111,110,109,108,107,106,105,105,105,106,107,106,105,103,100,98,96,95,95,95,95,94,94,93,93,93,93,93,92,91,90,89,89,88,88,87,86,85,84,82,82,81,81,82,83,84,85,86,87,88,89,90,91,93,95,96,97,98,98,99,99,99,100,101,101,103,104,105,106,108,109,110,111,111,110,110,109,108,106,106,105,104,104,103,103,103,103,103,102,101,101,101,101,101,101,101,101,100,98,97,97,96,96,96,95,95,93,91,88,85,82,82,82,83,85,87,89,91,93,95,96,97,97,97,97,96,96,96,96,96,97,97,96,96,95,95,95,95,95,94,94,94,94,93,93,93,93,94,95,96,96,97,97,98,98,98,97,97,96,95,94,93,93,93,93,93,93,93,92,92,91,91,91,90,90,90,90,89,89,88,88,87,88,88,90,92,94,97,100,102,103,105,105,106,108,109,111,113,114,115,115,115,115,115,115,114,113,112,110,107,104,101,98,96,94,92,90,89,88,87,87,87,86,86,86,85,85,84,83,82,82,83,85,87,91,95,101,106,112,118,122,126,127,127,125,123,119,116,112,108,104,100,96,92,89,86,84,82,81,80,79,79,79,79,80,80,79,79,78,78,78,78,80,82,85,89,94,99,104,107,109,109,108,104,100,95,92,90,90,92,94,97,100,102,103,103,102,101,99,98,96,96,95,96,96,97,97,97,96,95,95,95,95,95,94,93,92,91,91,90,90,90,90,90,90,89,89,90
41,98,98,98,97,97,96,96,95,94,92,89,87,85,84,84,84,83,80,78,75,75,77,81,85,88,88,86,81,76,71,68,65,64,65,68,71,74,76,78,79,80,79,77,74,70,67,64,63,64,67,70,74,75,75,74,71,68,66,64,63,63,63,63,63,64,64,63,63,62,60,59,58,58,59,61,64,65,66,65,62,60,58,56,55,56,56,58,60,62,65,69,74,78,80,82,82,82,83,85,88,92,95,98,100,99,97,93,90,87,85,85,86,87,88,88,89,89,91,93,95,98,99,99,99,98,96,95,94,93,93,95,97,98,98,98,97,95,94,93,92,91,90,90,90,91,93,94,94,95,94,94,93,93,94,94,95,96,96,96,96,96,96,96,96,97,97,97,96,95,95,94,93,93,93,94,96,99,104,111,118,125,130,134,136,136,134,131,126,120,115,110,107,106,107,108,110,111,111,110,106,102,98,95,93,93,92,93,93,94,95,96,97,98,98,98,98,97,97,98,98,99,99,99,98,96,94,93,92,91,91,91,91,91,91,92,92,93,94,95,96,97,97,98,100,102,105,108,110,111,110,108,105,101,98,95,94,93,92,93,94,96,97,98,99,100,100,100,99,99,99,98,98,98,98,99,99,100,101,101,102,103,103,104,104,105,105,105,105,105,105,104,104,105,105,106,107,108,109,109,108,107,105,104,103,103,104,105,106,107,109,109,109,109,108,106,105,103,101,100,100,99,100,101,101,102,102,101,101,100,99,99,99,99,99,100,101,101,102,101,100,99,97,96,94,94,94,94,95,95,96,98,100,102,103,104,105,106,106,106,105,104,103,101,99,97,96,95,94,94,94,94,94,94,94,93,91,89,87,86,86,87,89,91,92,93,93,93,94,94,94,95,95,95,95,95,96,97,97,98,99,100,101,102,103,104,104,104,103,102,100,98,97,97,97,97,98,99,101,102,104,105,106,107,107,107,106,106,107,107,106,106,105,104,104,105,108,111,114,116,117,116,113,109,103,98,94,91,90,90,92,94,96,98,99,100,100,100,100,100,102,105,107,110,111,111,109,106,103,100,98,98,99,100,102,103,104,105,105,105,104,104,104,104,104,104,104,103,102,101,101,102,103,104,105,106,107,107,106,105,103,102,102,101,102,102,102,102,101,100,99,98,98,98,98,99,100,101,101,100,99,98,98,97,97,97,98,98,98,98,98,98,98,98,97,97,97,97,98,99,102,104,107,110,111,112,110,108,105,102,100,99,99,99,100,100,100,100,99,99,99,98,97,97,96,95,95,95,95,95,95,96,96,97,97,98,98,98,98,97,97,96,95,95,94,94,94,95,95,96,96,96,96,95,95,95,95,96,96,95,95,94,94,93,93,93,93,93,94,94,94,95,94,94,94,94,94,93,93,92,92,92,92,92,92,92,92,92,92,92,92,92,91,91,90,89,89,88,88,87,87,88,88,89,89,89,89,90,90,90,90,90,91,91,91,91,91,91,92,92,92,92,92,92,92,91,91,91,91,91,91,91,91,91,92,92,92,92,92,92,92,92,92,92,93,93,93,93,93,92,92,92,91,91,90,90,90,90,90,91,91,92,92,92,92,92,93,93,93,93,93,93,93,93,93,94,95,96,98,100,102,104,105,106,107,108,108,109,109,108,107,105,102,99,97,95,94,94,95,97,98,100,100,101,100,100,99,99,98,97,96,94,93,93,94,95,97,99,102,104,106,107,107,107,105,103,101,99,98,99,100,101,103,104,105,106,106,106,105,104,104,103,103,103,102,102,101,100,98,97,95,94,94,94,95,96,97,98,99,99,100,100,100,100,100,100,100,100,100,99,98,97,96,95,95,94,94,94,93,93,93,93,93,92,92,91,91,90,90,90,90,91,93,95,98,101,103,105,106,105,103,101,99,97,96,96,97,98,100,103,105,107,108,109,109,108,107,106,104,103,102,101,100,100,100
42,91,91,91,91,92,93,94,96,99,103,109,115,124,133,142,150,155,155,152,145,137,129,122,118,115,113,110,107,102,98,94,91,90,89,90,91,93,94,95,95,95,95,95,94,93,92,92,92,92,93,94,94,94,93,93,94,95,96,97,99,100,100,100,100,99,98,98,98,99,100,101,102,102,102,102,100,99,97,96,96,97,98,99,100,100,100,101,102,103,104,105,106,107,108,109,109,110,111,112,113,113,114,113,113,114,116,122,130,141,151,160,165,166,163,157,150,142,136,131,130,131,134,137,141,143,144,144,142,139,136,131,125,120,114,110,107,105,104,104,104,105,106,106,107,107,106,105,104,103,101,100,99,98,98,99,99,100,100,100,101,103,107,111,117,122,126,129,130,129,127,124,121,118,116,114,113,112,110,109,108,109,112,115,119,122,123,122,120,116,112,108,103,100,97,95,94,93,93,94,94,94,93,93,92,92,91,91,90,89,87,85,83,81,81,83,84,87,89,90,92,92,93,93,94,94,94,93,93,92,92,92,92,93,94,97,101,107,113,119,125,131,136,141,144,147,147,146,144,141,137,135,133,132,131,131,131,130,128,125,122,118,116,113,110,107,104,101,98,95,91,88,85,83,81,81,82,83,84,85,86,87,87,88,88,87,87,87,88,88,89,90,90,90,90,89,88,86,84,83,82,81,81,81,82,83,83,84,84,84,85,85,86,88,90,93,95,96,97,96,95,95,94,94,93,93,94,94,94,95,95,96,96,96,97,97,97,97,97,96,95,95,94,93,93,93,94,94,95,96,96,97,98,98,99,99,100,101,102,103,102,102,102,102,102,102,101,100,99,98,99,101,104,107,110,112,113,114,115,115,115,115,115,115,115,115,115,115,114,114,114,114,114,115,115,114,112,111,109,108,109,109,110,110,111,112,113,113,113,113,112,111,110,110,112,114,118,124,133,143,153,162,168,169,166,160,151,143,136,131,128,127,127,126,125,124,123,123,124,125,127,128,128,129,129,129,129,129,128,128,129,130,131,131,131,129,128,126,123,121,118,116,114,114,113,114,115,117,119,121,122,123,122,120,118,116,114,114,114,114,113,112,111,109,108,106,105,105,104,104,104,104,103,102,101,100,102,105,113,123,134,145,154,160,162,160,155,148,141,136,134,136,140,146,150,152,154,154,155,156,158,160,162,162,161,160,157,155,152,149,147,146,145,144,144,144,144,143,140,137,133,130,127,125,124,123,121,119,115,111,108,106,105,105,104,104,102,101,99,97,95,94,93,93,94,95,96,98,99,100,101,101,101,100,100,100,101,101,102,103,104,105,106,106,106,106,106,107,107,107,107,107,107,108,110,112,114,116,118,120,123,127,132,138,144,147,148,146,142,136,128,119,111,105,100,98,96,96,96,97,98,99,100,101,103,106,109,112,114,115,116,116,116,115,114,114,114,115,116,117,118,118,118,117,117,116,115,115,115,115,116,116,116,115,114,113,112,112,112,112,113,113,114,115,117,119,122,123,125,125,124,123,122,121,121,121,121,121,120,120,119,119,120,121,122,123,123,123,122,121,120,118,117,115,114,114,114,113,113,112,112,112,112,112,112,111,111,111,111,112,113,113,114,114,114,114,114,114,114,113,113,113,114,116,117,117,117,117,117,118,118,117,117,116,116,116,118,119,120,121,123,127,130,134,136,137,137,138,140,142,144,146,148,148,147,146,144,143,143,144,145,145,144,143,141,139,137,135,135,135,135,135,134,131,127,122,117,112,107,101,97,92,89,88,88,90,92,95,98,100,102,103,103,103,103,103,104,105,106,107,108,109,109,109,108,107,107,107,107,107,106,106,105,104,104,104,104,103,103,104,104,105,106,107,107,107,106,105,104,104,105,108,114,122,133,145,157,167,175,180,183,185,186,188,190,193,196,199,201,201,199,194,187,177,166,155,146,140,136,134,131,128,124,120,117
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