data:image/png;base64,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

call with True to turn on the entire Scheme numeric tower, including infinite-precision integers, exact rationals, and complex numbers; call with False to restore native JavaScript arithmetic.

pt:altera utilização de aritmética do Scheme para _ The factorial function, to make very large numbers, to demo bignums.

The identity function: reports its input. It's useful to get things like 3/4 or 5-2i into numeric input slots.

Provides Scheme arithmetic functions not in JavaScript

pt:_ de _ number? complex? real? rational? integer? exact? inexact? exact inexact finite? infinite? nan? numerator denominator real-part imag-part magnitude 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8,734,367,1102,551,1654,827,2482,1241,3724,1862,931,2794,1397,4192,2096,1048,524,262,131,394,197,592,296,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,1979,2938,1469,4408,2204,1102,551,1654,827,2482,1241,3724,1862,931,2794,1397,4192,2096,1048,524,262,131,394,197,592,296,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,1980,490,245,736,368,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,1981,2944,1472,736,368,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,1982,491,1474,737,2212,1106,553,1660,830,415,1246,623,1870,935,2806,1403,4210,2105,6316,3158,1579,4738,2369,7108,3554,1777,5332,2666,1333,4000,2000,1000,500,250,125,376,188,94,47,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,1983,2950,1475,4426,2213,6640,3320,1660,830,415,1246,623,1870,935,2806,1403,4210,2105,6316,3158,1579,4738,2369,7108,3554,1777,5332,2666,1333,4000,2000,1000,500,250,125,376,188,94,47,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,1984,492,246,123,370,185,556,278,139,418,209,628,314,157,472,236,118,59,178,89,268,134,67,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,1985,2956,1478,739,2218,1109,3328,1664,832,416,208,104,52,26,13,40,20,10,5,16,8,4,2,1986,493,1480,740,370,185,556,278,139,418,209,628,314,157,472,236,118,59,178,89,268,134,67,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,1987,2962,1481,4444,2222,1111,3334,1667,5002,2501,7504,3752,1876,938,469,1408,704,352,176,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,1988,494,247,742,371,1114,557,1672,836,418,209,628,314,157,472,236,118,59,178,89,268,134,67,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,1989,2968,1484,742,371,1114,557,1672,836,418,209,628,314,157,472,236,118,59,178,89,268,134,67,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,1990,495,1486,743,2230,1115,3346,1673,5020,2510,1255,3766,1883,5650,2825,8476,4238,2119,6358,3179,9538,4769,14308,7154,3577,10732,5366,2683,8050,4025,12076,6038,3019,9058,4529,13588,6794,3397,10192,5096,2548,1274,637,1912,956,478,239,718,359,1078,539,1618,809,2428,1214,607,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,1991,2974,1487,4462,2231,6694,3347,10042,5021,15064,7532,3766,1883,5650,2825,8476,4238,2119,6358,3179,9538,4769,14308,7154,3577,10732,5366,2683,8050,4025,12076,6038,3019,9058,4529,13588,6794,3397,10192,5096,2548,1274,637,1912,956,478,239,718,359,1078,539,1618,809,2428,1214,607,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,1992,496,248,124,62,31,94,47,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,1993,2980,1490,745,2236,1118,559,1678,839,2518,1259,3778,1889,5668,2834,1417,4252,2126,1063,3190,1595,4786,2393,7180,3590,1795,5386,2693,8080,4040,2020,1010,505,1516,758,379,1138,569,1708,854,427,1282,641,1924,962,481,1444,722,361,1084,542,271,814,407,1222,611,1834,917,2752,1376,688,344,172,86,43,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,1994,497,1492,746,373,1120,560,280,140,70,35,106,53,160,80,40,20,10,5,16,8,4,2,1995,2986,1493,4480,2240,1120,560,280,140,70,35,106,53,160,80,40,20,10,5,16,8,4,2,1996,498,249,748,374,187,562,281,844,422,211,634,317,952,476,238,119,358,179,538,269,808,404,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,1997,2992,1496,748,374,187,562,281,844,422,211,634,317,952,476,238,119,358,179,538,269,808,404,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,1998,499,1498,749,2248,1124,562,281,844,422,211,634,317,952,476,238,119,358,179,538,269,808,404,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,1999,2998,1499,449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1341,4024,2012,1006,503,1510,755,2266,1133,3400,1700,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,11342,671,2014,1007,3022,1511,4534,2267,6802,3401,10204,5102,2551,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,11343,4030,2015,6046,3023,9070,4535,13606,6803,20410,10205,30616,15308,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,11344,672,336,168,84,42,21,64,32,16,8,4,2,11345,4036,2018,1009,3028,1514,757,2272,1136,568,284,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,11346,673,2020,1010,505,1516,758,379,1138,569,1708,854,427,1282,641,1924,962,481,1444,722,361,1084,542,271,814,407,1222,611,1834,917,2752,1376,688,344,172,86,43,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,11347,4042,2021,6064,3032,1516,758,379,1138,569,1708,854,427,1282,641,1924,962,481,1444,722,361,1084,542,271,814,407,1222,611,1834,917,2752,1376,688,344,172,86,43,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,11348,674,337,1012,506,253,760,380,190,95,286,143,430,215,646,323,970,485,1456,728,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,11349,4048,2024,1012,506,253,760,380,190,95,286,143,430,215,646,323,970,485,1456,728,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,11350,675,2026,1013,3040,1520,760,380,190,95,286,143,430,215,646,323,970,485,1456,728,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,11351,4054,2027,6082,3041,9124,4562,2281,6844,3422,1711,5134,2567,7702,3851,11554,5777,17332,8666,4333,13000,6500,3250,1625,4876,2438,1219,3658,1829,5488,2744,1372,686,343,1030,515,1546,773,2320,1160,580,290,145,436,218,109,328,164,82,41,124,62,31,94,47,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,11352,676,338,169,508,254,127,382,191,574,287,862,431,1294,647,1942,971,2914,1457,4372,2186,1093,3280,1640,820,410,205,616,308,154,77,232,116,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,11353,4060,2030,1015,3046,1523,4570,2285,6856,3428,1714,857,2572,1286,643,1930,965,2896,1448,724,362,181,544,272,136,68,34,17,52,26,13,40,20,10,5,16,8,4,2,11354,677,2032,1016,508,254,127,382,191,574,287,862,431,1294,647,1942,971,2914,1457,4372,2186,1093,3280,1640,820,410,205,616,308,154,77,232,116,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,11355,4066,2033,6100,3050,1525,4576,2288,1144,572,286,143,430,215,646,323,970,485,1456,728,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,37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9,12748,6374,3187,9562,4781,14344,7172,3586,1793,5380,2690,1345,4036,2018,1009,3028,1514,757,2272,1136,568,284,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,11768,884,442,221,664,332,166,83,250,125,376,188,94,47,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,11769,5308,2654,1327,3982,1991,5974,2987,8962,4481,13444,6722,3361,10084,5042,2521,7564,3782,1891,5674,2837,8512,4256,2128,1064,532,266,133,400,200,100,50,25,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,11770,885,2656,1328,664,332,166,83,250,125,376,188,94,47,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,11771,5314,2657,7972,3986,1993,5980,2990,1495,4486,2243,6730,3365,10096,5048,2524,1262,631,1894,947,2842,1421,4264,2132,1066,533,1600,800,400,200,100,50,25,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,11772,886,443,1330,665,1996,998,499,1498,749,2248,1124,562,281,844,422,211,634,317,952,476,238,119,358,179,538,269,808,404,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,11773,5320,2660,1330,665,1996,998,499,1498,749,2248,1124,562,281,844,422,211,634,317,952,476,238,119,358,179,538,269,808,404,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,11774,887,2662,1331,3994,1997,5992,2996,1498,749,2248,1124,562,281,844,422,211,634,317,952,476,238,119,358,179,538,269,808,404,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,11775,5326,2663,7990,3995,11986,5993,17980,8990,4495,13486,6743,20230,10115,30346,15173,45520,22760,11380,5690,2845,8536,4268,2134,1067,3202,1601,4804,2402,1201,3604,1802,901,2704,1352,676,338,169,508,254,127,382,191,574,287,862,431,1294,647,1942,971,2914,1457,4372,2186,1093,3280,1640,820,410,205,616,308,154,77,232,116,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,11776,888,444,222,111,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,11777,5332,2666,1333,4000,2000,1000,500,250,125,376,188,94,47,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,11778,889,2668,1334,667,2002,1001,3004,1502,751,2254,1127,3382,1691,5074,2537,7612,3806,1903,5710,2855,8566,4283,12850,6425,19276,9638,4819,14458,7229,21688,10844,5422,2711,8134,4067,12202,6101,18304,9152,4576,2288,1144,572,286,143,430,215,646,323,970,485,1456,728,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,11779,5338,2669,8008,4004,2002,1001,3004,1502,751,2254,1127,3382,1691,5074,2537,7612,3806,1903,5710,2855,8566,4283,12850,6425,19276,9638,4819,14458,7229,21688,10844,5422,2711,8134,4067,12202,6101,18304,9152,4576,2288,1144,572,286,143,430,215,646,323,970,485,1456,728,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,11780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,11781,5344,2672,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,11782,891,2674,1337,4012,2006,1003,3010,1505,4516,2258,1129,3388,1694,847,2542,1271,3814,1907,5722,2861,8584,4292,2146,1073,3220,1610,805,2416,1208,604,302,151,454,227,682,341,1024,512,256,128,64,32,16,8,4,2,11783,5350,2675,8026,4013,12040,6020,3010,1505,4516,2258,1129,3388,1694,847,2542,1271,3814,1907,5722,2861,8584,4292,2146,1073,3220,1610,805,2416,1208,604,302,151,454,227,682,341,1024,512,256,128,64,32,16,8,4,2,11784,892,446,223,670,335,1006,503,1510,755,2266,1133,3400,1700,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,11785,5356,2678,1339,4018,2009,6028,3014,1507,4522,2261,6784,3392,1696,848,424,212,106,53,160,80,40,20,10,5,16,8,4,2,11786,893,2680,1340,670,335,1006,503,1510,755,2266,1133,3400,1700,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,11787,5362,2681,8044,4022,2011,6034,3017,9052,4526,2263,6790,3395,10186,5093,15280,7640,3820,1910,955,2866,1433,4300,2150,1075,3226,1613,4840,2420,1210,605,1816,908,454,227,682,341,1024,512,256,128,64,32,16,8,4,2,11788,894,447,1342,671,2014,1007,3022,1511,4534,2267,6802,3401,10204,5102,2551,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,11789,5368,2684,1342,671,2014,1007,3022,1511,4534,2267,6802,3401,10204,5102,2551,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,11790,895,2686,1343,4030,2015,6046,3023,9070,4535,13606,6803,20410,10205,30616,15308,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,11791,5374,2687,8062,4031,12094,6047,18142,9071,27214,13607,40822,20411,61234,30617,91852,45926,22963,68890,34445,103336,51668,25834,12917,38752,19376,9688,4844,2422,1211,3634,1817,5452,2726,1363,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,11792,896,448,224,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,11793,5380,2690,1345,4036,2018,1009,3028,1514,757,2272,1136,568,284,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,11794,897,2692,1346,673,2020,1010,505,1516,758,379,1138,569,1708,854,427,1282,641,1924,962,481,1444,722,361,1084,542,271,814,407,1222,611,1834,917,2752,1376,688,344,172,86,43,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,11795,5386,2693,8080,4040,2020,1010,505,1516,758,379,1138,569,1708,854,427,1282,641,1924,962,481,1444,722,361,1084,542,271,814,407,1222,611,1834,917,2752,1376,688,344,172,86,43,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,11796,898,449,1348,674,337,1012,506,253,760,380,190,95,286,143,430,215,646,323,970,485,1456,728,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,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,70,35,106,53,160,80,40,20,10,5,16,8,4,2,12677,8032,4016,2008,1004,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,12678,1339,4018,2009,6028,3014,1507,4522,2261,6784,3392,1696,848,424,212,106,53,160,80,40,20,10,5,16,8,4,2,12679,8038,4019,12058,6029,18088,9044,4522,2261,6784,3392,1696,848,424,212,106,53,160,80,40,20,10,5,16,8,4,2,12680,1340,670,335,1006,503,1510,755,2266,1133,3400,1700,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,12681,8044,4022,2011,6034,3017,9052,4526,2263,6790,3395,10186,5093,15280,7640,3820,1910,955,2866,1433,4300,2150,1075,3226,1613,4840,2420,1210,605,1816,908,454,227,682,341,1024,512,256,128,64,32,16,8,4,2,12682,1341,4024,2012,1006,503,1510,755,2266,1133,3400,1700,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,12683,8050,4025,12076,6038,3019,9058,4529,13588,6794,3397,10192,5096,2548,1274,637,1912,956,478,239,718,359,1078,539,1618,809,2428,1214,607,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,12684,1342,671,2014,1007,3022,1511,4534,2267,6802,3401,10204,5102,2551,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,12685,8056,4028,2014,1007,3022,1511,4534,2267,6802,3401,10204,5102,2551,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,12686,1343,4030,2015,6046,3023,9070,4535,13606,6803,20410,10205,30616,15308,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,12687,8062,4031,12094,6047,18142,9071,27214,13607,40822,20411,61234,30617,91852,45926,22963,68890,34445,103336,51668,25834,12917,38752,19376,9688,4844,2422,1211,3634,1817,5452,2726,1363,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,12688,1344,672,336,168,84,42,21,64,32,16,8,4,2,12689,8068,4034,2017,6052,3026,1513,4540,2270,1135,3406,1703,5110,2555,7666,3833,11500,5750,2875,8626,4313,12940,6470,3235,9706,4853,14560,7280,3640,1820,910,455,1366,683,2050,1025,3076,1538,769,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,12690,1345,4036,2018,1009,3028,1514,757,2272,1136,568,284,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,12691,8074,4037,12112,6056,3028,1514,757,2272,1136,568,284,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,12692,1346,673,2020,1010,505,1516,758,379,1138,569,1708,854,427,1282,641,1924,962,481,1444,722,361,1084,542,271,814,407,1222,611,1834,917,2752,1376,688,344,172,86,43,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,12693,8080,4040,2020,1010,5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847,2542,1271,3814,1907,5722,2861,8584,4292,2146,1073,3220,1610,805,2416,1208,604,302,151,454,227,682,341,1024,512,256,128,64,32,16,8,4,2,13567,10702,5351,16054,8027,24082,12041,36124,18062,9031,27094,13547,40642,20321,60964,30482,15241,45724,22862,11431,34294,17147,51442,25721,77164,38582,19291,57874,28937,86812,43406,21703,65110,32555,97666,48833,146500,73250,36625,109876,54938,27469,82408,41204,20602,10301,30904,15452,7726,3863,11590,5795,17386,8693,26080,13040,6520,3260,1630,815,2446,1223,3670,1835,5506,2753,8260,4130,2065,6196,3098,1549,4648,2324,1162,581,1744,872,436,218,109,328,164,82,41,124,62,31,94,47,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13568,1784,892,446,223,670,335,1006,503,1510,755,2266,1133,3400,1700,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13569,10708,5354,2677,8032,4016,2008,1004,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13570,1785,5356,2678,1339,4018,2009,6028,3014,1507,4522,2261,6784,3392,1696,848,424,212,106,53,160,80,40,20,10,5,16,8,4,2,13571,10714,5357,16072,8036,4018,2009,6028,3014,1507,4522,2261,6784,3392,1696,848,424,212,106,53,160,80,40,20,10,5,16,8,4,2,13572,1786,893,2680,1340,670,335,1006,503,1510,755,2266,1133,3400,1700,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13573,10720,5360,2680,1340,670,335,1006,503,1510,755,2266,1133,3400,1700,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13574,1787,5362,2681,8044,4022,2011,6034,3017,9052,4526,2263,6790,3395,10186,5093,15280,7640,3820,1910,955,2866,1433,4300,2150,1075,3226,1613,4840,2420,1210,605,1816,908,454,227,682,341,1024,512,256,128,64,32,16,8,4,2,13575,10726,5363,16090,8045,24136,12068,6034,3017,9052,4526,2263,6790,3395,10186,5093,15280,7640,3820,1910,955,2866,1433,4300,2150,1075,3226,1613,4840,2420,1210,605,1816,908,454,227,682,341,1024,512,256,128,64,32,16,8,4,2,13576,1788,894,447,1342,671,2014,1007,3022,1511,4534,2267,6802,3401,10204,5102,2551,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13577,10732,5366,2683,8050,4025,12076,6038,3019,9058,4529,13588,6794,3397,10192,5096,2548,1274,637,1912,956,478,239,718,359,1078,539,1618,809,2428,1214,607,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13578,1789,5368,2684,1342,671,2014,1007,3022,1511,4534,2267,6802,3401,10204,5102,2551,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13579,10738,5369,16108,8054,4027,12082,6041,18124,9062,4531,13594,6797,20392,10196,5098,2549,7648,3824,1912,956,478,239,718,359,1078,539,1618,809,2428,1214,607,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13580,1790,895,2686,1343,4030,2015,6046,3023,9070,4535,13606,6803,20410,10205,30616,15308,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13581,10744,5372,2686,1343,4030,2015,6046,3023,9070,4535,13606,6803,20410,10205,30616,15308,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13582,1791,5374,2687,8062,4031,12094,6047,18142,9071,27214,13607,40822,20411,61234,30617,91852,45926,22963,68890,34445,103336,51668,25834,12917,38752,19376,9688,4844,2422,1211,3634,1817,5452,2726,1363,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13583,10750,5375,16126,8063,24190,12095,36286,18143,54430,27215,81646,40823,122470,61235,183706,91853,275560,137780,68890,34445,103336,51668,25834,12917,38752,19376,9688,4844,2422,1211,3634,1817,5452,2726,1363,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13584,1792,896,448,224,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13585,10756,5378,2689,8068,4034,2017,6052,3026,1513,4540,2270,1135,3406,1703,5110,2555,7666,3833,11500,5750,2875,8626,4313,12940,6470,3235,9706,4853,14560,7280,3640,1820,910,455,1366,683,2050,1025,3076,1538,769,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13586,1793,5380,2690,1345,4036,2018,1009,3028,1514,757,2272,1136,568,284,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13587,10762,5381,16144,8072,4036,2018,1009,3028,1514,757,2272,1136,568,284,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13588,1794,897,2692,1346,673,2020,1010,505,1516,758,379,1138,569,1708,854,427,1282,641,1924,962,481,1444,722,361,1084,542,271,814,407,1222,611,1834,917,2752,1376,688,344,172,86,43,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13589,10768,5384,2692,1346,673,2020,1010,505,1516,758,379,1138,569,1708,854,427,1282,641,1924,962,481,1444,722,361,1084,542,271,814,407,1222,611,1834,917,2752,1376,688,344,172,86,43,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13590,1795,5386,2693,8080,4040,2020,1010,505,1516,758,379,1138,569,1708,854,427,1282,641,1924,962,481,1444,722,361,1084,542,271,814,407,1222,611,1834,917,2752,1376,688,344,172,86,43,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13591,10774,5387,16162,8081,24244,12122,6061,18184,9092,4546,2273,6820,3410,1705,5116,2558,1279,3838,1919,5758,2879,8638,4319,12958,6479,19438,9719,29158,14579,43738,21869,65608,32804,16402,8201,24604,12302,6151,18454,9227,27682,13841,41524,20762,10381,31144,15572,7786,3893,11680,5840,2920,1460,730,365,1096,548,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13592,1796,898,449,1348,674,337,1012,506,253,760,380,190,95,286,143,430,215,646,323,970,485,1456,728,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13593,10780,5390,2695,8086,4043,12130,6065,18196,9098,4549,13648,6824,3412,1706,853,2560,1280,640,320,160,80,40,20,10,5,16,8,4,2,13594,1797,5392,2696,1348,674,337,1012,506,253,760,380,190,95,286,143,430,215,646,323,970,485,1456,728,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,2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18,5909,17728,8864,4432,2216,1108,554,277,832,416,208,104,52,26,13,40,20,10,5,16,8,4,2,13940,1970,985,2956,1478,739,2218,1109,3328,1664,832,416,208,104,52,26,13,40,20,10,5,16,8,4,2,13941,11824,5912,2956,1478,739,2218,1109,3328,1664,832,416,208,104,52,26,13,40,20,10,5,16,8,4,2,13942,1971,5914,2957,8872,4436,2218,1109,3328,1664,832,416,208,104,52,26,13,40,20,10,5,16,8,4,2,13943,11830,5915,17746,8873,26620,13310,6655,19966,9983,29950,14975,44926,22463,67390,33695,101086,50543,151630,75815,227446,113723,341170,170585,511756,255878,127939,383818,191909,575728,287864,143932,71966,35983,107950,53975,161926,80963,242890,121445,364336,182168,91084,45542,22771,68314,34157,102472,51236,25618,12809,38428,19214,9607,28822,14411,43234,21617,64852,32426,16213,48640,24320,12160,6080,3040,1520,760,380,190,95,286,143,430,215,646,323,970,485,1456,728,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13944,1972,986,493,1480,740,370,185,556,278,139,418,209,628,314,157,472,236,118,59,178,89,268,134,67,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13945,11836,5918,2959,8878,4439,13318,6659,19978,9989,29968,14984,7492,3746,1873,5620,2810,1405,4216,2108,1054,527,1582,791,2374,1187,3562,1781,5344,2672,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13946,1973,5920,2960,1480,740,370,185,556,278,139,418,209,628,314,157,472,236,118,59,178,89,268,134,67,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13947,11842,5921,17764,8882,4441,13324,6662,3331,9994,4997,14992,7496,3748,1874,937,2812,1406,703,2110,1055,3166,1583,4750,2375,7126,3563,10690,5345,16036,8018,4009,12028,6014,3007,9022,4511,13534,6767,20302,10151,30454,15227,45682,22841,68524,34262,17131,51394,25697,77092,38546,19273,57820,28910,14455,43366,21683,65050,32525,97576,48788,24394,12197,36592,18296,9148,4574,2287,6862,3431,10294,5147,15442,7721,23164,11582,5791,17374,8687,26062,13031,39094,19547,58642,29321,87964,43982,21991,65974,32987,98962,49481,148444,74222,37111,111334,55667,167002,83501,250504,125252,62626,31313,93940,46970,23485,70456,35228,17614,8807,26422,13211,39634,19817,59452,29726,14863,44590,22295,66886,33443,100330,50165,150496,75248,37624,18812,9406,4703,14110,7055,21166,10583,31750,15875,47626,23813,71440,35720,17860,8930,4465,13396,6698,3349,10048,5024,2512,1256,628,314,157,472,236,118,59,178,89,268,134,67,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13948,1974,987,2962,1481,4444,2222,1111,3334,1667,5002,2501,7504,3752,1876,938,469,1408,704,352,176,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13949,11848,5924,2962,1481,4444,2222,1111,3334,1667,5002,2501,7504,3752,1876,938,469,1408,704,352,176,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13950,1975,5926,2963,8890,4445,13336,6668,3334,1667,5002,2501,7504,3752,1876,938,469,1408,704,352,176,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13951,11854,5927,17782,8891,26674,13337,40012,20006,10003,30010,15005,45016,22508,11254,5627,16882,8441,25324,12662,6331,18994,9497,28492,14246,7123,21370,10685,32056,16028,8014,4007,12022,6011,18034,9017,27052,13526,6763,20290,10145,30436,15218,7609,22828,11414,5707,17122,8561,25684,12842,6421,19264,9632,4816,2408,1204,602,301,904,452,226,113,340,170,85,256,128,64,32,16,8,4,2,13952,1976,988,494,247,742,371,1114,557,1672,836,418,209,628,314,157,472,236,118,59,178,89,268,134,67,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13953,11860,5930,2965,8896,4448,2224,1112,556,278,139,418,209,628,314,157,472,236,118,59,178,89,268,134,67,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13954,1977,5932,2966,1483,4450,2225,6676,3338,1669,5008,2504,1252,626,313,940,470,235,706,353,1060,530,265,796,398,199,598,299,898,449,1348,674,337,1012,506,253,760,380,190,95,286,143,430,215,646,323,970,485,1456,728,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13955,11866,5933,17800,8900,4450,2225,6676,3338,1669,5008,2504,1252,626,313,940,470,235,706,353,1060,530,265,796,398,199,598,299,898,449,1348,674,337,1012,506,253,760,380,190,95,286,143,430,215,646,323,970,485,1456,728,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13956,1978,989,2968,1484,742,371,1114,557,1672,836,418,209,628,314,157,472,236,118,59,178,89,268,134,67,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13957,11872,5936,2968,1484,742,371,1114,557,1672,836,418,209,628,314,157,472,236,118,59,178,89,268,134,67,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13958,1979,5938,2969,8908,4454,2227,6682,3341,10024,5012,2506,1253,3760,1880,940,470,235,706,353,1060,530,265,796,398,199,598,299,898,449,1348,674,337,1012,506,253,760,380,190,95,286,143,430,215,646,323,970,485,1456,728,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13959,11878,5939,17818,8909,26728,13364,6682,3341,10024,5012,2506,1253,3760,1880,940,470,235,706,353,1060,530,265,796,398,199,598,299,898,449,1348,674,337,1012,506,253,760,380,190,95,286,143,430,215,646,323,970,485,1456,728,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13960,1980,990,495,1486,743,2230,1115,3346,1673,5020,2510,1255,3766,1883,5650,2825,8476,4238,2119,6358,3179,9538,4769,14308,7154,3577,10732,5366,2683,8050,4025,12076,6038,3019,9058,4529,13588,6794,3397,10192,5096,2548,1274,637,1912,956,478,239,718,359,1078,539,1618,809,2428,1214,607,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13961,11884,5942,2971,8914,4457,13372,6686,3343,10030,5015,15046,7523,22570,11285,33856,16928,8464,4232,2116,1058,529,1588,794,397,1192,596,298,149,448,224,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13962,1981,5944,2972,1486,743,2230,1115,3346,1673,5020,2510,1255,3766,1883,5650,2825,8476,4238,2119,6358,3179,9538,4769,14308,7154,3577,10732,5366,2683,8050,4025,12076,6038,3019,9058,4529,13588,6794,3397,10192,5096,2548,1274,637,1912,956,478,239,718,359,1078,539,1618,809,2428,1214,607,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13963,11890,5945,17836,8918,4459,13378,6689,20068,10034,5017,15052,7526,3763,11290,5645,16936,8468,4234,2117,6352,3176,1588,794,397,1192,596,298,149,448,224,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13964,1982,991,2974,1487,4462,2231,6694,3347,10042,5021,15064,7532,3766,1883,5650,2825,8476,4238,2119,6358,3179,9538,4769,14308,7154,3577,10732,5366,2683,8050,4025,12076,6038,3019,9058,4529,13588,6794,3397,10192,5096,2548,1274,637,1912,956,478,239,718,359,1078,539,1618,809,2428,1214,607,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13965,11896,5948,2974,1487,4462,2231,6694,3347,10042,5021,15064,7532,3766,1883,5650,2825,8476,4238,2119,6358,3179,9538,4769,14308,7154,3577,10732,5366,2683,8050,4025,12076,6038,3019,9058,4529,13588,6794,3397,10192,5096,2548,1274,637,1912,956,478,239,718,359,1078,539,1618,809,2428,1214,607,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13966,1983,5950,2975,8926,4463,13390,6695,20086,10043,30130,15065,45196,22598,11299,33898,16949,50848,25424,12712,6356,3178,1589,4768,2384,1192,596,298,149,448,224,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13967,11902,5951,17854,8927,26782,13391,40174,20087,60262,30131,90394,45197,135592,67796,33898,16949,50848,25424,12712,6356,3178,1589,4768,2384,1192,596,298,149,448,224,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13968,1984,992,496,248,124,62,31,94,47,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13969,11908,5954,2977,8932,4466,2233,6700,3350,1675,5026,2513,7540,3770,1885,5656,2828,1414,707,2122,1061,3184,1592,796,398,199,598,299,898,449,1348,674,337,1012,506,253,760,380,190,95,286,143,430,215,646,323,970,485,1456,728,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13970,1985,5956,2978,1489,4468,2234,1117,3352,1676,838,419,1258,629,1888,944,472,236,118,59,178,89,268,134,67,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13971,11914,5957,17872,8936,4468,2234,1117,3352,1676,838,419,1258,629,1888,944,472,236,118,59,178,89,268,134,67,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13972,1986,993,2980,1490,745,2236,1118,559,1678,839,2518,1259,3778,1889,5668,2834,1417,4252,2126,1063,3190,1595,4786,2393,7180,3590,1795,5386,2693,8080,4040,2020,1010,505,1516,758,379,1138,569,1708,854,427,1282,641,1924,962,481,1444,722,361,1084,542,271,814,407,1222,611,1834,917,2752,1376,688,344,172,86,43,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13973,11920,5960,2980,1490,745,2236,1118,559,1678,839,2518,1259,3778,1889,5668,2834,1417,4252,2126,1063,3190,1595,4786,2393,7180,3590,1795,5386,2693,8080,4040,2020,1010,505,1516,758,379,1138,569,1708,854,427,1282,641,1924,962,481,1444,722,361,1084,542,271,814,407,1222,611,1834,917,2752,1376,688,344,172,86,43,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13974,1987,5962,2981,8944,4472,2236,1118,559,1678,839,2518,1259,3778,1889,5668,2834,1417,4252,2126,1063,3190,1595,4786,2393,7180,3590,1795,5386,2693,8080,4040,2020,1010,505,1516,758,379,1138,569,1708,854,427,1282,641,1924,962,481,1444,722,361,1084,542,271,814,407,1222,611,1834,917,2752,1376,688,344,172,86,43,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13975,11926,5963,17890,8945,26836,13418,6709,20128,10064,5032,2516,1258,629,1888,944,472,236,118,59,178,89,268,134,67,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13976,1988,994,497,1492,746,373,1120,560,280,140,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13977,11932,5966,2983,8950,4475,13426,6713,20140,10070,5035,15106,7553,22660,11330,5665,16996,8498,4249,12748,6374,3187,9562,4781,14344,7172,3586,1793,5380,2690,1345,4036,2018,1009,3028,1514,757,2272,1136,568,284,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13978,1989,5968,2984,1492,746,373,1120,560,280,140,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13979,11938,5969,17908,8954,4477,13432,6716,3358,1679,5038,2519,7558,3779,11338,5669,17008,8504,4252,2126,1063,3190,1595,4786,2393,7180,3590,1795,5386,2693,8080,4040,2020,1010,505,1516,758,379,1138,569,1708,854,427,1282,641,1924,962,481,1444,722,361,1084,542,271,814,407,1222,611,1834,917,2752,1376,688,344,172,86,43,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13980,1990,995,2986,1493,4480,2240,1120,560,280,140,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13981,11944,5972,2986,1493,4480,2240,1120,560,280,140,70,35,106,53,160,80,40,20,10,5,16,8,4,2,13982,1991,5974,2987,8962,4481,13444,6722,3361,10084,5042,2521,7564,3782,1891,5674,2837,8512,4256,2128,1064,532,266,133,400,200,100,50,25,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13983,11950,5975,17926,8963,26890,13445,40336,20168,10084,5042,2521,7564,3782,1891,5674,2837,8512,4256,2128,1064,532,266,133,400,200,100,50,25,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13984,1992,996,498,249,748,374,187,562,281,844,422,211,634,317,952,476,238,119,358,179,538,269,808,404,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13985,11956,5978,2989,8968,4484,2242,1121,3364,1682,841,2524,1262,631,1894,947,2842,1421,4264,2132,1066,533,1600,800,400,200,100,50,25,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13986,1993,5980,2990,1495,4486,2243,6730,3365,10096,5048,2524,1262,631,1894,947,2842,1421,4264,2132,1066,533,1600,800,400,200,100,50,25,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13987,11962,5981,17944,8972,4486,2243,6730,3365,10096,5048,2524,1262,631,1894,947,2842,1421,4264,2132,1066,533,1600,800,400,200,100,50,25,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13988,1994,997,2992,1496,748,374,187,562,281,844,422,211,634,317,952,476,238,119,358,179,538,269,808,404,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13989,11968,5984,2992,1496,748,374,187,562,281,844,422,211,634,317,952,476,238,119,358,179,538,269,808,404,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13990,1995,5986,2993,8980,4490,2245,6736,3368,1684,842,421,1264,632,316,158,79,238,119,358,179,538,269,808,404,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13991,11974,5987,17962,8981,26944,13472,6736,3368,1684,842,421,1264,632,316,158,79,238,119,358,179,538,269,808,404,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13992,1996,998,499,1498,749,2248,1124,562,281,844,422,211,634,317,952,476,238,119,358,179,538,269,808,404,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13993,11980,5990,2995,8986,4493,13480,6740,3370,1685,5056,2528,1264,632,316,158,79,238,119,358,179,538,269,808,404,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13994,1997,5992,2996,1498,749,2248,1124,562,281,844,422,211,634,317,952,476,238,119,358,179,538,269,808,404,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13995,11986,5993,17980,8990,4495,13486,6743,20230,10115,30346,15173,45520,22760,11380,5690,2845,8536,4268,2134,1067,3202,1601,4804,2402,1201,3604,1802,901,2704,1352,676,338,169,508,254,127,382,191,574,287,862,431,1294,647,1942,971,2914,1457,4372,2186,1093,3280,1640,820,410,205,616,308,154,77,232,116,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13996,1998,999,2998,1499,4498,2249,6748,3374,1687,5062,2531,7594,3797,11392,5696,2848,1424,712,356,178,89,268,134,67,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13997,11992,5996,2998,1499,4498,2249,6748,3374,1687,5062,2531,7594,3797,11392,5696,2848,1424,712,356,178,89,268,134,67,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13998,1999,5998,2999,8998,4499,13498,6749,20248,10124,5062,2531,7594,3797,11392,5696,2848,1424,712,356,178,89,268,134,67,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,13999,11998,5999,17998,8999,26998,13499,40498,20249,60748,30374,15187,45562,22781,68344,34172,17086,8543,25630,12815,38446,19223,57670,28835,86506,43253,129760,64880,32440,16220,8110,4055,12166,6083,18250,9125,27376,13688,6844,3422,1711,5134,2567,7702,3851,11554,5777,17332,8666,4333,13000,6500,3250,1625,4876,2438,1219,3658,1829,5488,2744,1372,686,343,1030,515,1546,773,2320,1160,580,290,145,436,218,109,328,164,82,41,124,62,31,94,47,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14000,2000,1000,500,250,125,376,188,94,47,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14001,12004,6002,3001,9004,4502,2251,6754,3377,10132,5066,2533,7600,3800,1900,950,475,1426,713,2140,1070,535,1606,803,2410,1205,3616,1808,904,452,226,113,340,170,85,256,128,64,32,16,8,4,2,14002,2001,6004,3002,1501,4504,2252,1126,563,1690,845,2536,1268,634,317,952,476,238,119,358,179,538,269,808,404,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,14003,12010,6005,18016,9008,4504,2252,1126,563,1690,845,2536,1268,634,317,952,476,238,119,358,179,538,269,808,404,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,14004,2002,1001,3004,1502,751,2254,1127,3382,1691,5074,2537,7612,3806,1903,5710,2855,8566,4283,12850,6425,19276,9638,4819,14458,7229,21688,10844,5422,2711,8134,4067,12202,6101,18304,9152,4576,2288,1144,572,286,143,430,215,646,323,970,485,1456,728,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14005,12016,6008,3004,1502,751,2254,1127,3382,1691,5074,2537,7612,3806,1903,5710,2855,8566,4283,12850,6425,19276,9638,4819,14458,7229,21688,10844,5422,2711,8134,4067,12202,6101,18304,9152,4576,2288,1144,572,286,143,430,215,646,323,970,485,1456,728,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14006,2003,6010,3005,9016,4508,2254,1127,3382,1691,5074,2537,7612,3806,1903,5710,2855,8566,4283,12850,6425,19276,9638,4819,14458,7229,21688,10844,5422,2711,8134,4067,12202,6101,18304,9152,4576,2288,1144,572,286,143,430,215,646,323,970,485,1456,728,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14007,12022,6011,18034,9017,27052,13526,6763,20290,10145,30436,15218,7609,22828,11414,5707,17122,8561,25684,12842,6421,19264,9632,4816,2408,1204,602,301,904,452,226,113,340,170,85,256,128,64,32,16,8,4,2,14008,2004,1002,501,1504,752,376,188,94,47,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14009,12028,6014,3007,9022,4511,13534,6767,20302,10151,30454,15227,45682,22841,68524,34262,17131,51394,25697,77092,38546,19273,57820,28910,14455,43366,21683,65050,32525,97576,48788,24394,12197,36592,18296,9148,4574,2287,6862,3431,10294,5147,15442,7721,23164,11582,5791,17374,8687,26062,13031,39094,19547,58642,29321,87964,43982,21991,65974,32987,98962,49481,148444,74222,37111,111334,55667,167002,83501,250504,125252,62626,31313,93940,46970,23485,70456,35228,17614,8807,26422,13211,39634,19817,59452,29726,14863,44590,22295,66886,33443,100330,50165,150496,75248,37624,18812,9406,4703,14110,7055,21166,10583,31750,15875,47626,23813,71440,35720,17860,8930,4465,13396,6698,3349,10048,5024,2512,1256,628,314,157,472,236,118,59,178,89,268,134,67,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,14010,2005,6016,3008,1504,752,376,188,94,47,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14011,12034,6017,18052,9026,4513,13540,6770,3385,10156,5078,2539,7618,3809,11428,5714,2857,8572,4286,2143,6430,3215,9646,4823,14470,7235,21706,10853,32560,16280,8140,4070,2035,6106,3053,9160,4580,2290,1145,3436,1718,859,2578,1289,3868,1934,967,2902,1451,4354,2177,6532,3266,1633,4900,2450,1225,3676,1838,919,2758,1379,4138,2069,6208,3104,1552,776,388,194,97,292,146,73,220,110,55,166,83,250,125,376,188,94,47,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14012,2006,1003,3010,1505,4516,2258,1129,3388,1694,847,2542,1271,3814,1907,5722,2861,8584,4292,2146,1073,3220,1610,805,2416,1208,604,302,151,454,227,682,341,1024,512,256,128,64,32,16,8,4,2,14013,12040,6020,3010,1505,4516,2258,1129,3388,1694,847,2542,1271,3814,1907,5722,2861,8584,4292,2146,1073,3220,1610,805,2416,1208,604,302,151,454,227,682,341,1024,512,256,128,64,32,16,8,4,2,14014,2007,6022,3011,9034,4517,13552,6776,3388,1694,847,2542,1271,3814,1907,5722,2861,8584,4292,2146,1073,3220,1610,805,2416,1208,604,302,151,454,227,682,341,1024,512,256,128,64,32,16,8,4,2,14015,12046,6023,18070,9035,27106,13553,40660,20330,10165,30496,15248,7624,3812,1906,953,2860,1430,715,2146,1073,3220,1610,805,2416,1208,604,302,151,454,227,682,341,1024,512,256,128,64,32,16,8,4,2,14016,2008,1004,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14017,12052,6026,3013,9040,4520,2260,1130,565,1696,848,424,212,106,53,160,80,40,20,10,5,16,8,4,2,14018,2009,6028,3014,1507,4522,2261,6784,3392,1696,848,424,212,106,53,160,80,40,20,10,5,16,8,4,2,14019,12058,6029,18088,9044,4522,2261,6784,3392,1696,848,424,212,106,53,160,80,40,20,10,5,16,8,4,2,14020,2010,1005,3016,1508,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14021,12064,6032,3016,1508,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14022,2011,6034,3017,9052,4526,2263,6790,3395,10186,5093,15280,7640,3820,1910,955,2866,1433,4300,2150,1075,3226,1613,4840,2420,1210,605,1816,908,454,227,682,341,1024,512,256,128,64,32,16,8,4,2,14023,12070,6035,18106,9053,27160,13580,6790,3395,10186,5093,15280,7640,3820,1910,955,2866,1433,4300,2150,1075,3226,1613,4840,2420,1210,605,1816,908,454,227,682,341,1024,512,256,128,64,32,16,8,4,2,14024,2012,1006,503,1510,755,2266,1133,3400,1700,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14025,12076,6038,3019,9058,4529,13588,6794,3397,10192,5096,2548,1274,637,1912,956,478,239,718,359,1078,539,1618,809,2428,1214,607,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14026,2013,6040,3020,1510,755,2266,1133,3400,1700,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14027,12082,6041,18124,9062,4531,13594,6797,20392,10196,5098,2549,7648,3824,1912,956,478,239,718,359,1078,539,1618,809,2428,1214,607,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14028,2014,1007,3022,1511,4534,2267,6802,3401,10204,5102,2551,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,14029,12088,6044,3022,1511,4534,2267,6802,3401,10204,5102,2551,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,14030,2015,6046,3023,9070,4535,13606,6803,20410,10205,30616,15308,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,14031,12094,6047,18142,9071,27214,13607,40822,20411,61234,30617,91852,45926,22963,68890,34445,103336,51668,25834,12917,38752,19376,9688,4844,2422,1211,3634,1817,5452,2726,1363,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,14032,2016,1008,504,252,126,63,190,95,286,143,430,215,646,323,970,485,1456,728,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14033,12100,6050,3025,9076,4538,2269,6808,3404,1702,851,2554,1277,3832,1916,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14034,2017,6052,3026,1513,4540,2270,1135,3406,1703,5110,2555,7666,3833,11500,5750,2875,8626,4313,12940,6470,3235,9706,4853,14560,7280,3640,1820,910,455,1366,683,2050,1025,3076,1538,769,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14035,12106,6053,18160,9080,4540,2270,1135,3406,1703,5110,2555,7666,3833,11500,5750,2875,8626,4313,12940,6470,3235,9706,4853,14560,7280,3640,1820,910,455,1366,683,2050,1025,3076,1538,769,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14036,2018,1009,3028,1514,757,2272,1136,568,284,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14037,12112,6056,3028,1514,757,2272,1136,568,284,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14038,2019,6058,3029,9088,4544,2272,1136,568,284,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14039,12118,6059,18178,9089,27268,13634,6817,20452,10226,5113,15340,7670,3835,11506,5753,17260,8630,4315,12946,6473,19420,9710,4855,14566,7283,21850,10925,32776,16388,8194,4097,12292,6146,3073,9220,4610,2305,6916,3458,1729,5188,2594,1297,3892,1946,973,2920,1460,730,365,1096,548,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14040,2020,1010,505,1516,758,379,1138,569,1708,854,427,1282,641,1924,962,481,1444,722,361,1084,542,271,814,407,1222,611,1834,917,2752,1376,688,344,172,86,43,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,14041,12124,6062,3031,9094,4547,13642,6821,20464,10232,5116,2558,1279,3838,1919,5758,2879,8638,4319,12958,6479,19438,9719,29158,14579,43738,21869,65608,32804,16402,8201,24604,12302,6151,18454,9227,27682,13841,41524,20762,10381,31144,15572,7786,3893,11680,5840,2920,1460,730,365,1096,548,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14042,2021,6064,3032,1516,758,379,1138,569,1708,854,427,1282,641,1924,962,481,1444,722,361,1084,542,271,814,407,1222,611,1834,917,2752,1376,688,344,172,86,43,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,14043,12130,6065,18196,9098,4549,13648,6824,3412,1706,853,2560,1280,640,320,160,80,40,20,10,5,16,8,4,2,14044,2022,1011,3034,1517,4552,2276,1138,569,1708,854,427,1282,641,1924,962,481,1444,722,361,1084,542,271,814,407,1222,611,1834,917,2752,1376,688,344,172,86,43,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,14045,12136,6068,3034,1517,4552,2276,1138,569,1708,854,427,1282,641,1924,962,481,1444,722,361,1084,542,271,814,407,1222,611,1834,917,2752,1376,688,344,172,86,43,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,14046,2023,6070,3035,9106,4553,13660,6830,3415,10246,5123,15370,7685,23056,11528,5764,2882,1441,4324,2162,1081,3244,1622,811,2434,1217,3652,1826,913,2740,1370,685,2056,1028,514,257,772,386,193,580,290,145,436,218,109,328,164,82,41,124,62,31,94,47,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14047,12142,6071,18214,9107,27322,13661,40984,20492,10246,5123,15370,7685,23056,11528,5764,2882,1441,4324,2162,1081,3244,1622,811,2434,1217,3652,1826,913,2740,1370,685,2056,1028,514,257,772,3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2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14757,14272,7136,3568,1784,892,446,223,670,335,1006,503,1510,755,2266,1133,3400,1700,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14758,2379,7138,3569,10708,5354,2677,8032,4016,2008,1004,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14759,14278,7139,21418,10709,32128,16064,8032,4016,2008,1004,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14760,2380,1190,595,1786,893,2680,1340,670,335,1006,503,1510,755,2266,1133,3400,1700,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14761,14284,7142,3571,10714,5357,16072,8036,4018,2009,6028,3014,1507,4522,2261,6784,3392,1696,848,424,212,106,53,160,80,40,20,10,5,16,8,4,2,14762,2381,7144,3572,1786,893,2680,1340,670,335,1006,503,1510,755,2266,1133,3400,1700,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14763,14290,7145,21436,10718,5359,16078,8039,24118,12059,36178,18089,54268,27134,13567,40702,20351,61054,30527,91582,45791,137374,68687,206062,103031,309094,154547,463642,231821,695464,347732,173866,86933,260800,130400,65200,32600,16300,8150,4075,12226,6113,18340,9170,4585,13756,6878,3439,10318,5159,15478,7739,23218,11609,34828,17414,8707,26122,13061,39184,19592,9796,4898,2449,7348,3674,1837,5512,2756,1378,689,2068,1034,517,1552,776,388,194,97,292,146,73,220,110,55,166,83,250,125,376,188,94,47,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14764,2382,1191,3574,1787,5362,2681,8044,4022,2011,6034,3017,9052,4526,2263,6790,3395,10186,5093,15280,7640,3820,1910,955,2866,1433,4300,2150,1075,3226,1613,4840,2420,1210,605,1816,908,454,227,682,341,1024,512,256,128,64,32,16,8,4,2,14765,14296,7148,3574,1787,5362,2681,8044,4022,2011,6034,3017,9052,4526,2263,6790,3395,10186,5093,15280,7640,3820,1910,955,2866,1433,4300,2150,1075,3226,1613,4840,2420,1210,605,1816,908,454,227,682,341,1024,512,256,128,64,32,16,8,4,2,14766,2383,7150,3575,10726,5363,16090,8045,24136,12068,6034,3017,9052,4526,2263,6790,3395,10186,5093,15280,7640,3820,1910,955,2866,1433,4300,2150,1075,3226,1613,4840,2420,1210,605,1816,908,454,227,682,341,1024,512,256,128,64,32,16,8,4,2,14767,14302,7151,21454,10727,32182,16091,48274,24137,72412,36206,18103,54310,27155,81466,40733,122200,61100,30550,15275,45826,22913,68740,34370,17185,51556,25778,12889,38668,19334,9667,29002,14501,43504,21752,10876,5438,2719,8158,4079,12238,6119,18358,9179,27538,13769,41308,20654,10327,30982,15491,46474,23237,69712,34856,17428,8714,4357,13072,6536,3268,1634,817,2452,1226,613,1840,920,460,230,115,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,14768,2384,1192,596,298,149,448,224,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,14769,14308,7154,3577,10732,5366,2683,8050,4025,12076,6038,3019,9058,4529,13588,6794,3397,10192,5096,2548,1274,637,1912,956,478,239,718,359,1078,539,1618,809,2428,1214,607,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14770,2385,7156,3578,1789,5368,2684,1342,671,2014,1007,3022,1511,4534,2267,6802,3401,10204,5102,2551,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,14771,14314,7157,21472,10736,5368,2684,1342,671,2014,1007,3022,1511,4534,2267,6802,3401,10204,5102,2551,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,14772,2386,1193,3580,1790,895,2686,1343,4030,2015,6046,3023,9070,4535,13606,6803,20410,10205,30616,15308,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,14773,14320,7160,3580,1790,895,2686,1343,4030,2015,6046,3023,9070,4535,13606,6803,20410,10205,30616,15308,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,14774,2387,7162,3581,10744,5372,2686,1343,4030,2015,6046,3023,9070,4535,13606,6803,20410,10205,30616,15308,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,14775,14326,7163,21490,10745,32236,16118,8059,24178,12089,36268,18134,9067,27202,13601,40804,20402,10201,30604,15302,7651,22954,11477,34432,17216,8608,4304,2152,1076,538,269,808,404,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,14776,2388,1194,597,1792,896,448,224,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,14777,14332,7166,3583,10750,5375,16126,8063,24190,12095,36286,18143,54430,27215,81646,40823,122470,61235,183706,91853,275560,137780,68890,34445,103336,51668,25834,12917,38752,19376,9688,4844,2422,1211,3634,1817,5452,2726,1363,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,14778,2389,7168,3584,1792,896,448,224,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,14779,14338,7169,21508,10754,5377,16132,8066,4033,12100,6050,3025,9076,4538,2269,6808,3404,1702,851,2554,1277,3832,1916,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14780,2390,1195,3586,1793,5380,2690,1345,4036,2018,1009,3028,1514,757,2272,1136,568,284,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14781,14344,7172,3586,1793,5380,2690,1345,4036,2018,1009,3028,1514,757,2272,1136,568,284,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14782,2391,7174,3587,10762,5381,16144,8072,4036,2018,1009,3028,1514,757,2272,1136,568,284,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14783,14350,7175,21526,10763,32290,16145,48436,24218,12109,36328,18164,9082,4541,13624,6812,3406,1703,5110,2555,7666,3833,11500,5750,2875,8626,4313,12940,6470,3235,9706,4853,14560,7280,3640,1820,910,455,1366,683,2050,1025,3076,1538,769,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,14784,2392,1196,598,299,898,449,1348,674,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51,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,15342,2671,8014,4007,12022,6011,18034,9017,27052,13526,6763,20290,10145,30436,15218,7609,22828,11414,5707,17122,8561,25684,12842,6421,19264,9632,4816,2408,1204,602,301,904,452,226,113,340,170,85,256,128,64,32,16,8,4,2,15343,16030,8015,24046,12023,36070,18035,54106,27053,81160,40580,20290,10145,30436,15218,7609,22828,11414,5707,17122,8561,25684,12842,6421,19264,9632,4816,2408,1204,602,301,904,452,226,113,340,170,85,256,128,64,32,16,8,4,2,15344,2672,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,15345,16036,8018,4009,12028,6014,3007,9022,4511,13534,6767,20302,10151,30454,15227,45682,22841,68524,34262,17131,51394,25697,77092,38546,19273,57820,28910,14455,43366,21683,65050,32525,97576,48788,24394,12197,36592,18296,9148,4574,2287,6862,3431,10294,5147,15442,7721,23164,11582,5791,17374,8687,26062,13031,39094,19547,58642,29321,87964,43982,21991,65974,32987,98962,49481,148444,74222,37111,111334,55667,167002,83501,250504,125252,62626,31313,93940,46970,23485,70456,35228,17614,8807,26422,13211,39634,19817,59452,29726,14863,44590,22295,66886,33443,100330,50165,150496,75248,37624,18812,9406,4703,14110,7055,21166,10583,31750,15875,47626,23813,71440,35720,17860,8930,4465,13396,6698,3349,10048,5024,2512,1256,628,314,157,472,236,118,59,178,89,268,134,67,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,15346,2673,8020,4010,2005,6016,3008,1504,752,376,188,94,47,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,15347,16042,8021,24064,12032,6016,3008,1504,752,376,188,94,47,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,15348,2674,1337,4012,2006,1003,3010,1505,4516,2258,1129,3388,1694,847,2542,1271,3814,1907,5722,2861,8584,4292,2146,1073,3220,1610,805,2416,1208,604,302,151,454,227,682,341,1024,512,256,128,64,32,16,8,4,2,15349,16048,8024,4012,2006,1003,3010,1505,4516,2258,1129,3388,1694,847,2542,1271,3814,1907,5722,2861,8584,4292,2146,1073,3220,1610,805,2416,1208,604,302,151,454,227,682,341,1024,512,256,128,64,32,16,8,4,2,15350,2675,8026,4013,12040,6020,3010,1505,4516,2258,1129,3388,1694,847,2542,1271,3814,1907,5722,2861,8584,4292,2146,1073,3220,1610,805,2416,1208,604,302,151,454,227,682,341,1024,512,256,128,64,32,16,8,4,2,15351,16054,8027,24082,12041,36124,18062,9031,27094,13547,40642,20321,60964,30482,15241,45724,22862,11431,34294,17147,51442,25721,77164,38582,19291,57874,28937,86812,43406,21703,65110,32555,97666,48833,146500,73250,36625,109876,54938,27469,82408,41204,20602,10301,30904,15452,7726,3863,11590,5795,17386,8693,26080,13040,6520,3260,1630,815,2446,1223,3670,1835,5506,2753,8260,4130,2065,6196,3098,1549,4648,2324,1162,581,1744,872,436,218,109,328,164,82,41,124,62,31,94,47,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,15352,2676,1338,669,2008,1004,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,15353,16060,8030,4015,12046,6023,18070,9035,27106,13553,40660,20330,10165,30496,15248,7624,3812,1906,953,2860,1430,715,2146,1073,3220,1610,805,2416,1208,604,302,151,454,227,682,341,1024,512,256,128,64,32,16,8,4,2,15354,2677,8032,4016,2008,1004,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,15355,16066,8033,24100,12050,6025,18076,9038,4519,13558,6779,20338,10169,30508,15254,7627,22882,11441,34324,17162,8581,25744,12872,6436,3218,1609,4828,2414,1207,3622,1811,5434,2717,8152,4076,2038,1019,3058,1529,4588,2294,1147,3442,1721,5164,2582,1291,3874,1937,5812,2906,1453,4360,2180,1090,545,1636,818,409,1228,614,307,922,461,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,15356,2678,1339,4018,2009,6028,3014,1507,4522,2261,6784,3392,1696,848,424,212,106,53,160,80,40,20,10,5,16,8,4,2,15357,16072,8036,4018,2009,6028,3014,1507,4522,2261,6784,3392,1696,848,424,212,106,53,160,80,40,20,10,5,16,8,4,2,15358,2679,8038,4019,12058,6029,18088,9044,4522,2261,6784,3392,1696,848,424,212,106,53,160,80,40,20,10,5,16,8,4,2,15359,16078,8039,24118,12059,36178,18089,54268,27134,13567,40702,20351,61054,30527,91582,45791,137374,68687,206062,103031,309094,154547,463642,231821,695464,347732,173866,86933,260800,130400,65200,32600,16300,8150,4075,12226,6113,18340,9170,4585,13756,6878,3439,10318,5159,15478,7739,23218,11609,34828,17414,8707,26122,13061,39184,19592,9796,4898,2449,7348,3674,1837,5512,2756,1378,689,2068,1034,517,1552,776,388,194,97,292,146,73,220,110,55,166,83,250,125,376,188,94,47,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,15360,2680,1340,670,335,1006,503,1510,755,2266,1133,3400,1700,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,15361,16084,8042,4021,12064,6032,3016,1508,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,15362,2681,8044,4022,2011,6034,3017,9052,4526,2263,6790,3395,10186,5093,15280,7640,3820,1910,955,2866,1433,4300,2150,1075,3226,1613,4840,2420,1210,605,1816,908,454,227,682,341,1024,512,256,128,64,32,16,8,4,2,15363,16090,8045,24136,12068,6034,3017,9052,4526,2263,6790,3395,10186,5093,15280,7640,3820,1910,955,2866,1433,4300,2150,1075,3226,1613,4840,2420,1210,605,1816,908,454,227,682,341,1024,512,256,128,64,32,16,8,4,2,15364,2682,1341,4024,2012,1006,503,1510,755,2266,1133,3400,1700,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,15365,16096,8048,4024,2012,1006,503,1510,755,2266,1133,3400,1700,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,15366,2683,8050,4025,12076,6038,3019,9058,4529,13588,6794,3397,10192,5096,2548,1274,637,1912,956,478,239,718,359,1078,539,1618,809,2428,1214,607,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,15367,16102,8051,24154,12077,36232,18116,9058,4529,13588,6794,3397,10192,5096,2548,1274,637,1912,956,478,239,718,359,1078,539,1618,809,2428,1214,607,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,15368,2684,1342,671,2014,1007,3022,1511,4534,2267,6802,3401,10204,5102,2551,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,15369,16108,8054,4027,12082,6041,18124,9062,4531,13594,6797,20392,10196,5098,2549,7648,3824,1912,956,478,239,718,359,1078,539,1618,809,2428,1214,607,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,15370,2685,8056,4028,2014,1007,3022,1511,4534,2267,6802,3401,10204,5102,2551,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,15371,16114,8057,24172,12086,6043,18130,9065,27196,13598,6799,20398,10199,30598,15299,45898,22949,68848,34424,17212,8606,4303,12910,6455,19366,9683,29050,14525,43576,21788,10894,5447,16342,8171,24514,12257,36772,18386,9193,27580,13790,6895,20686,10343,31030,15515,46546,23273,69820,34910,17455,52366,26183,78550,39275,117826,58913,176740,88370,44185,132556,66278,33139,99418,49709,149128,74564,37282,18641,55924,27962,13981,41944,20972,10486,5243,15730,7865,23596,11798,5899,17698,8849,26548,13274,6637,19912,9956,4978,2489,7468,3734,1867,5602,2801,8404,4202,2101,6304,3152,1576,788,394,197,592,296,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,15372,2686,1343,4030,2015,6046,3023,9070,4535,13606,6803,20410,10205,30616,15308,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,15373,16120,8060,4030,2015,6046,3023,9070,4535,13606,6803,20410,10205,30616,15308,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,15374,2687,8062,4031,12094,6047,18142,9071,27214,13607,40822,20411,61234,30617,91852,45926,22963,68890,34445,103336,51668,25834,12917,38752,19376,9688,4844,2422,1211,3634,1817,5452,2726,1363,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,15375,16126,8063,24190,12095,36286,18143,54430,27215,81646,40823,122470,61235,183706,91853,275560,137780,68890,34445,103336,51668,25834,12917,38752,19376,9688,4844,2422,1211,3634,1817,5452,2726,1363,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,15376,2688,1344,672,336,168,84,42,21,64,32,16,8,4,2,15377,16132,8066,4033,12100,6050,3025,9076,4538,2269,6808,3404,1702,851,2554,1277,3832,1916,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,15378,2689,8068,4034,2017,6052,3026,1513,4540,2270,1135,3406,1703,5110,2555,7666,3833,11500,5750,2875,8626,4313,12940,6470,3235,9706,4853,14560,7280,3640,1820,910,455,1366,683,2050,1025,3076,1538,769,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,15379,16138,8069,24208,12104,6052,3026,1513,4540,2270,1135,3406,1703,5110,2555,7666,3833,11500,5750,2875,8626,4313,12940,6470,3235,9706,4853,14560,7280,3640,1820,910,455,1366,683,2050,1025,3076,1538,769,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,15380,2690,1345,4036,2018,1009,3028,1514,757,2272,1136,568,284,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,15381,16144,8072,4036,2018,1009,3028,1514,757,2272,1136,568,284,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,15382,2691,8074,4037,12112,6056,3028,1514,757,2272,1136,568,284,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,15383,16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2548,1274,637,1912,956,478,239,718,359,1078,539,1618,809,2428,1214,607,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,17155,21466,10733,32200,16100,8050,4025,12076,6038,3019,9058,4529,13588,6794,3397,10192,5096,2548,1274,637,1912,956,478,239,718,359,1078,539,1618,809,2428,1214,607,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,17156,3578,1789,5368,2684,1342,671,2014,1007,3022,1511,4534,2267,6802,3401,10204,5102,2551,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,17157,21472,10736,5368,2684,1342,671,2014,1007,3022,1511,4534,2267,6802,3401,10204,5102,2551,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,17158,3579,10738,5369,16108,8054,4027,12082,6041,18124,9062,4531,13594,6797,20392,10196,5098,2549,7648,3824,1912,956,478,239,718,359,1078,539,1618,809,2428,1214,607,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,17159,21478,10739,32218,16109,48328,24164,12082,6041,18124,9062,4531,13594,6797,20392,10196,5098,2549,7648,3824,1912,956,478,239,718,359,1078,539,1618,809,2428,1214,607,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,17160,3580,1790,895,2686,1343,4030,2015,6046,3023,9070,4535,13606,6803,20410,10205,30616,15308,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,17161,21484,10742,5371,16114,8057,24172,12086,6043,18130,9065,27196,13598,6799,20398,10199,30598,15299,45898,22949,68848,34424,17212,8606,4303,12910,6455,19366,9683,29050,14525,43576,21788,10894,5447,16342,8171,24514,12257,36772,18386,9193,27580,13790,6895,20686,10343,31030,15515,46546,23273,69820,34910,17455,52366,26183,78550,39275,117826,58913,176740,88370,44185,132556,66278,33139,99418,49709,149128,74564,37282,18641,55924,27962,13981,41944,20972,10486,5243,15730,7865,23596,11798,5899,17698,8849,26548,13274,6637,19912,9956,4978,2489,7468,3734,1867,5602,2801,8404,4202,2101,6304,3152,1576,788,394,197,592,296,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,17162,3581,10744,5372,2686,1343,4030,2015,6046,3023,9070,4535,13606,6803,20410,10205,30616,15308,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,17163,21490,10745,32236,16118,8059,24178,12089,36268,18134,9067,27202,13601,40804,20402,10201,30604,15302,7651,22954,11477,34432,17216,8608,4304,2152,1076,538,269,808,404,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,17164,3582,1791,5374,2687,8062,4031,12094,6047,18142,9071,27214,13607,40822,20411,61234,30617,91852,45926,22963,68890,34445,103336,51668,25834,12917,38752,19376,9688,4844,2422,1211,3634,1817,5452,2726,1363,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,17165,21496,10748,5374,2687,8062,4031,12094,6047,18142,9071,27214,13607,40822,20411,61234,30617,91852,45926,22963,68890,34445,103336,51668,25834,12917,38752,19376,9688,4844,2422,1211,3634,1817,5452,2726,1363,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,17166,3583,10750,5375,16126,8063,24190,12095,36286,18143,54430,27215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6,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,18479,25438,12719,38158,19079,57238,28619,85858,42929,128788,64394,32197,96592,48296,24148,12074,6037,18112,9056,4528,2264,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,18480,4240,2120,1060,530,265,796,398,199,598,299,898,449,1348,674,337,1012,506,253,760,380,190,95,286,143,430,215,646,323,970,485,1456,728,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,18481,25444,12722,6361,19084,9542,4771,14314,7157,21472,10736,5368,2684,1342,671,2014,1007,3022,1511,4534,2267,6802,3401,10204,5102,2551,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,18482,4241,12724,6362,3181,9544,4772,2386,1193,3580,1790,895,2686,1343,4030,2015,6046,3023,9070,4535,13606,6803,20410,10205,30616,15308,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,18483,25450,12725,38176,19088,9544,4772,2386,1193,3580,1790,895,2686,1343,4030,2015,6046,3023,9070,4535,13606,6803,20410,10205,30616,15308,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,18484,4242,2121,6364,3182,1591,4774,2387,7162,3581,10744,5372,2686,1343,4030,2015,6046,3023,9070,4535,13606,6803,20410,10205,30616,15308,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,18485,25456,12728,6364,3182,1591,4774,2387,7162,3581,10744,5372,2686,1343,4030,2015,6046,3023,9070,4535,13606,6803,20410,10205,30616,15308,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,18486,4243,12730,6365,19096,9548,4774,2387,7162,3581,10744,5372,2686,1343,4030,2015,6046,3023,9070,4535,13606,6803,20410,10205,30616,15308,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,18487,25462,12731,38194,19097,57292,28646,14323,42970,21485,64456,32228,16114,8057,24172,12086,6043,18130,9065,27196,13598,6799,20398,10199,30598,15299,45898,22949,68848,34424,17212,8606,4303,12910,6455,19366,9683,29050,14525,43576,21788,10894,5447,16342,8171,24514,12257,36772,18386,9193,27580,13790,6895,20686,10343,31030,15515,46546,23273,69820,34910,17455,52366,26183,78550,39275,117826,58913,176740,88370,44185,132556,66278,33139,99418,49709,149128,74564,37282,18641,55924,27962,13981,41944,20972,10486,5243,15730,7865,23596,11798,5899,17698,8849,26548,13274,6637,19912,9956,4978,2489,7468,3734,1867,5602,2801,8404,4202,2101,6304,3152,1576,788,394,197,592,296,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,18488,4244,2122,1061,3184,1592,796,398,199,598,299,898,449,1348,674,337,1012,506,253,760,380,190,95,286,143,430,215,646,323,970,485,1456,728,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,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82,16091,48274,24137,72412,36206,18103,54310,27155,81466,40733,122200,61100,30550,15275,45826,22913,68740,34370,17185,51556,25778,12889,38668,19334,9667,29002,14501,43504,21752,10876,5438,2719,8158,4079,12238,6119,18358,9179,27538,13769,41308,20654,10327,30982,15491,46474,23237,69712,34856,17428,8714,4357,13072,6536,3268,1634,817,2452,1226,613,1840,920,460,230,115,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,19535,28606,14303,42910,21455,64366,32183,96550,48275,144826,72413,217240,108620,54310,27155,81466,40733,122200,61100,30550,15275,45826,22913,68740,34370,17185,51556,25778,12889,38668,19334,9667,29002,14501,43504,21752,10876,5438,2719,8158,4079,12238,6119,18358,9179,27538,13769,41308,20654,10327,30982,15491,46474,23237,69712,34856,17428,8714,4357,13072,6536,3268,1634,817,2452,1226,613,1840,920,460,230,115,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,19536,4768,2384,1192,596,298,149,448,224,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,19537,28612,14306,7153,21460,10730,5365,16096,8048,4024,2012,1006,503,1510,755,2266,1133,3400,1700,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,19538,4769,14308,7154,3577,10732,5366,2683,8050,4025,12076,6038,3019,9058,4529,13588,6794,3397,10192,5096,2548,1274,637,1912,956,478,239,718,359,1078,539,1618,809,2428,1214,607,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,19539,28618,14309,42928,21464,10732,5366,2683,8050,4025,12076,6038,3019,9058,4529,13588,6794,3397,10192,5096,2548,1274,637,1912,956,478,239,718,359,1078,539,1618,809,2428,1214,607,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,19540,4770,2385,7156,3578,1789,5368,2684,1342,671,2014,1007,3022,1511,4534,2267,6802,3401,10204,5102,2551,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,19541,28624,14312,7156,3578,1789,5368,2684,1342,671,2014,1007,3022,1511,4534,2267,6802,3401,10204,5102,2551,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,19542,4771,14314,7157,21472,10736,5368,2684,1342,671,2014,1007,3022,1511,4534,2267,6802,3401,10204,5102,2551,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,19543,28630,14315,42946,21473,64420,32210,16105,48316,24158,12079,36238,18119,54358,27179,81538,40769,122308,61154,30577,91732,45866,22933,68800,34400,17200,8600,4300,2150,1075,3226,1613,4840,2420,1210,605,1816,908,454,227,682,341,1024,512,256,128,64,32,16,8,4,2,19544,4772,2386,1193,3580,1790,895,2686,1343,4030,2015,6046,3023,9070,4535,13606,6803,20410,10205,30616,15308,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,19545,28636,14318,7159,21478,10739,32218,16109,48328,24164,12082,6041,18124,9062,4531,13594,6797,20392,10196,5098,2549,7648,3824,1912,956,478,239,718,359,1078,539,1618,809,2428,1214,607,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,19546,4773,14320,7160,3580,1790,895,2686,1343,4030,2015,6046,3023,9070,4535,13606,6803,20410,10205,30616,15308,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,19547,28642,14321,42964,21482,10741,32224,16112,8056,4028,2014,1007,3022,1511,4534,2267,6802,3401,10204,5102,2551,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,19548,4774,2387,7162,3581,10744,5372,2686,1343,4030,2015,6046,3023,9070,4535,13606,6803,20410,10205,30616,15308,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,19549,28648,14324,7162,3581,10744,5372,2686,1343,4030,2015,6046,3023,9070,4535,13606,6803,20410,10205,30616,15308,7654,3827,11482,5741,17224,8612,4306,2153,6460,3230,1615,4846,2423,7270,3635,10906,5453,16360,8180,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,19550,4775,14326,7163,21490,10745,32236,16118,8059,24178,12089,36268,18134,9067,27202,13601,40804,20402,10201,30604,15302,7651,22954,11477,34432,17216,8608,4304,2152,1076,538,269,808,404,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,19551,28654,14327,42982,21491,64474,32237,96712,48356,24178,12089,36268,18134,9067,27202,13601,40804,20402,10201,30604,15302,7651,22954,11477,34432,17216,8608,4304,2152,1076,538,269,808,404,202,101,304,152,76,38,19,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,19552,4776,2388,1194,597,1792,896,448,224,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,19553,28660,14330,7165,21496,10748,5374,2687,8062,4031,12094,6047,18142,9071,27214,13607,40822,20411,61234,30617,91852,45926,22963,68890,34445,103336,51668,25834,12917,38752,19376,9688,4844,2422,1211,3634,1817,5452,2726,1363,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,19554,4777,14332,7166,3583,10750,5375,16126,8063,24190,12095,36286,18143,54430,27215,81646,40823,122470,61235,183706,91853,275560,137780,68890,34445,103336,51668,25834,12917,38752,19376,9688,4844,2422,1211,3634,1817,5452,2726,1363,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,19555,28666,14333,43000,21500,10750,5375,16126,8063,24190,12095,36286,18143,54430,27215,81646,40823,122470,61235,183706,91853,275560,137780,68890,34445,103336,51668,25834,12917,38752,19376,9688,4844,2422,1211,3634,1817,5452,2726,1363,4090,2045,6136,3068,1534,767,2302,1151,3454,1727,5182,2591,7774,3887,11662,5831,17494,8747,26242,13121,39364,19682,9841,29524,14762,7381,22144,11072,5536,2768,1384,692,346,173,520,260,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,19556,4778,2389,7168,3584,1792,896,448,224,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,19557,28672,14336,7168,3584,1792,896,448,224,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,19558,4779,14338,7169,21508,10754,5377,16132,8066,4033,12100,6050,3025,9076,4538,2269,6808,3404,1702,851,2554,1277,3832,1916,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,19559,28678,14339,43018,21509,64528,32264,16132,8066,4033,12100,6050,3025,9076,4538,2269,6808,3404,1702,851,2554,1277,3832,1916,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,19560,4780,2390,1195,3586,1793,5380,2690,1345,4036,2018,1009,3028,1514,757,2272,1136,568,284,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,19561,28684,14342,7171,21514,10757,32272,16136,8068,4034,2017,6052,3026,1513,4540,2270,1135,3406,1703,5110,2555,7666,3833,11500,5750,2875,8626,4313,12940,6470,3235,9706,4853,14560,7280,3640,1820,910,455,1366,683,2050,1025,3076,1538,769,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,19562,4781,14344,7172,3586,1793,5380,2690,1345,4036,2018,1009,3028,1514,757,2272,1136,568,284,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,19563,28690,14345,43036,21518,10759,32278,16139,48418,24209,72628,36314,18157,54472,27236,13618,6809,20428,10214,5107,15322,7661,22984,11492,5746,2873,8620,4310,2155,6466,3233,9700,4850,2425,7276,3638,1819,5458,2729,8188,4094,2047,6142,3071,9214,4607,13822,6911,20734,10367,31102,15551,46654,23327,69982,34991,104974,52487,157462,78731,236194,118097,354292,177146,88573,265720,132860,66430,33215,99646,49823,149470,74735,224206,112103,336310,168155,504466,252233,756700,378350,189175,567526,283763,851290,425645,1276936,638468,319234,159617,478852,239426,119713,359140,179570,89785,269356,134678,67339,202018,101009,303028,151514,75757,227272,113636,56818,28409,85228,42614,21307,63922,31961,95884,47942,23971,71914,35957,107872,53936,26968,13484,6742,3371,10114,5057,15172,7586,3793,11380,5690,2845,8536,4268,2134,1067,3202,1601,4804,2402,1201,3604,1802,901,2704,1352,676,338,169,508,254,127,382,191,574,287,862,431,1294,647,1942,971,2914,1457,4372,2186,1093,3280,1640,820,410,205,616,308,154,77,232,116,58,29,88,44,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,19564,4782,2391,7174,3587,10762,5381,16144,8072,4036,2018,1009,3028,1514,757,2272,1136,568,284,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,19565,28696,14348,7174,3587,10762,5381,16144,8072,4036,2018,1009,3028,1514,757,2272,1136,568,284,142,71,214,107,322,161,484,242,121,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,19566,4783,14350,7175,21526,10763,32290,16145,48436,24218,12109,36328,18164,9082,4541,13624,6812,3406,1703,5110,2555,7666,3833,11500,5750,2875,8626,4313,12940,6470,3235,9706,4853,14560,7280,3640,1820,910,455,1366,683,2050,1025,3076,1538,769,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,19567,28702,14351,43054,21527,64582,32291,96874,48437,145312,72656,36328,18164,9082,4541,13624,6812,3406,1703,5110,2555,7666,3833,11500,5750,2875,8626,4313,12940,6470,3235,9706,4853,14560,7280,3640,1820,910,455,1366,683,2050,1025,3076,1538,769,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,19568,4784,2392,1196,598,299,898,449,1348,674,337,1012,506,253,760,380,190,95,286,143,430,215,646,323,970,485,1456,728,364,182,91,274,137,412,206,103,310,155,466,233,700,350,175,526,263,790,395,1186,593,1780,890,445,1336,668,334,167,502,251,754,377,1132,566,283,850,425,1276,638,319,958,479,1438,719,2158,1079,3238,1619,4858,2429,7288,3644,1822,911,2734,1367,4102,2051,6154,3077,9232,4616,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,19569,28708,14354,7177,21532,10766,5383,16150,8075,24226,12113,36340,18170,9085,27256,13628,6814,3407,10222,5111,15334,7667,23002,11501,34504,17252,8626,4313,12940,6470,3235,9706,4853,14560,7280,3640,1820,910,455,1366,683,2050,1025,3076,1538,769,2308,1154,577,1732,866,433,1300,650,325,976,488,244,122,61,184,92,46,23,70,35,106,53,160,80,40,20,10,5,16,8,4,2,19570,4785,14356,7178,3589,10768,5384,2692,1346,673,2020,1010,505,1516,758,379,1138,569,1708,854,427,1282,641,1924,962,481,1444,722,361,1084,542,271,814,407,1222,611,1834,917,2752,1376,688,344,172,86,43,130,65,196,98,49,148,74,37,112,56,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,19571,28714,14357,43072,21536,10768,5384,2692,1346,673,2020,1010,505,1516,758,379,1138,569,1708,854,427,1282,641,1924,962,481,1444,722,361,1084,542,271,814,407,1222,611,183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