/* "Easy 3" by Alec Edgington */
static unsigned char x[418];
static const int p[] = {1604,1267,2944,3092,1932,1453,28,2911,452,2034,2334,2783,2042,1341,2946,1431,3111,326,453,2729,1184,1238,1709,2550,3021,1803,765,3080,1202,1658,1340,1691,278,1419,2610,905,2409,2339,938,2642,701,2314,2293,1403,1283,2395,954,383,2157,2059,3164,1810,1432,387,2962,2302,190,1672,294,3153,1012,1773,1942,2089,2219,151,2019,2250,3129,300,611,516,2362,2277,3109,829,2029,2002,2808,2497,1454,2873,875,3083,2646,2445,815,1082,1194,1273,1228,2067,2349,1522,2779,2105,136,2678,658,3003,1685,507,581,1697,588,1609,1322,197,5,440,946,2617,2909,181,2331,1424,2390,1354,1518,1712,1138,143,220,916,651,877,2924,1364};
static const int q[] = {1313,1630,2639,2936,394,2082,207,3191,2394,1516,2970,1125,1662,350,1185,1390,2169,2432,2065,2559,719,1937,1365,1547,1292,2131,1160,1548,400,2056,668,2859,844,893,623,786,909,320,2425,1859,2667,1209,932,613,2213,3074,718,1065,2258,2880,1958,2959,1499,174,2781,2470,2108,542,2115,837,1248,2000,2927,78,780,1775,1791,2132,260,2716,2892,116,2119,1342,1701,1437,2501,1847,1473,2984,3067,342,1531,345,130,75,1941,1057,739,1436,1002,762,1442,2938,1119,503,1301,1174,1025,1055,1997,3154,2325,538,2871,1281,2489,2681,911,1234,264,2883,1589,2185,1747,229,2547,1569,2373,824,3138,335,2137,2649,201,2638,405,1378};
static const unsigned char G[] = 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1,45,199,58,41,217,160,189,197,145,153,54,123,128,21,105,187,0,254,7,135,167,37,214,234,4,242,195,26,69,169,16,174,230,181,60,11,8,244,117,125,212,196,190,97,67,184,11,218,165,212,238,172,217,2,67,10,119,119,104,32,30,170,25,85,25,92,11,75,216,74,60,186,37,176,15,240,14,8,195,220,244,22,237,15,47,193,57,199,160,123,202,195,246,127,187,127,209,197,113,90,152,255,87,164,49,48,180,60,244,51,61,70,17,1,99,44,106,105,151,184,130,127,202,52,23,19,96,120,13,146,229,69,29,42,178,176,240,155,245,213,182,139,230,100,5,20,134,120,175,149,62,60,70,155,110,45,120,243,31,208,69,17,240,54,89,156,149,18,152,85,33,71,112,76,182,92,74,51,15,32,162,67,185,45,46,98,45,252,180,110,219,163,218,12,7,63,162,75,198,227,5,239,102,156,44,165,11,165,16,52,90,50,166,62,175,210,244,25,219,69,88,72,15,12,202,150,36,49,119,218,153,226,235,119,206,100,18,106,72,150,160,111,19,86,101,252,102,102,115,131,11,45,99,96,142,217,134,237,174,158,33,192,227,240,169,88,138,66,16,220,67,96,135,192,226,54,180,166,21,102,156,203,208,87,210,121,184,113,105,57,189,86,199,18,184,6,148,92,244,163,97,0,50,247,85,255,239,142,96,120,52,218,10,139,34,240,122,128,179,36,59,251,198,204,221,80,146,53,184,102,163,21,138,150,198,64,102,236,90,250,114,15,210,201,153,90,138,95,56,81,150,71,60,199,8,168,106,225,95,32,69,8,224,146,53,150,13,186,46,60,123,97,170,203,45,148,160,153,189,141,147,142,70,147,184,250,107,213,198,153,3,26,47,178,105,195,151,180,163,18,91,102,44,149,142,163,105,62,209,102,147,75,95,107,61,120,98,146,189,167,33,98,32,236,60,106,127,154,125,222,38,206,58,246,119,18,193,95,85,162,120,63,174,87,120,115,173,154,211,25,172,118,220,110,183,151,29,124,72,218,117,72,239,75,222,232,150,45,164,119,251,62,251,201,131,157,26,165,147,183,140,97,37,99,153,243,65,40,75,136,165,253,65,230,91,40,5,220,176,92,201,192,20,175,41,130,49,196,127,121,59,34,24,238,133,54,74,227,188,29,57,143,144,253,119,108,46,195,239,112,204,64,229,145,185,49,1,233,195,60,255,47,253,251,150,169,191,119,97,102,53,110,218,170,192,228,205,64,50,69,198,150,90,105,140,240,187,50,16,166,50,195,143,212,210,114,159,134,69,210,26,90,62,232,156,152,12,200,239,24,165,76,150,90,153,46,153,120,90,154,191,102,63,208,176,90,105,107,150,105,214,166,166,130,165,100,208,239,230,182,59,65,98,112,204,136,144,165,17,195,118,90,222,83,157,172,124,182,150,78,195,205,121,22,240,150,36,14,171,180,57,160,53,219,140,87,150,224,55,240,253,56,245,150,237,237,132,195,220,238,195,113,19,34,99,208,167,33,204,205,51,118,182,203,75,150,144,14,105,245,37,244,102,137,194,7,150,165,112,195,207,131,155,24,3,57,20,144,230,30,165,104,81,173,179,105,90,121,85,3,150,177,107,184,103,165,250,211,239,105,101,166,98,150,217,244,150,90,16,236,115,238,125,239,135,86,51,63,12,144,148,222,229,81,140,68,51,110,72,47,141,181,206,119,204,165,105,101,181,165,44,70,11,10,21,244,0,43,127,83,109,13,199,60,59,240,13,54,119,26,174,104,222,11,68,150,90,150,145,80,105,171,195,23,179,184,193,10,132,84,241,213,53,165,12,197,242,55,46,7,77,104,190,3,138,163,124,103,133,26,35,105,165,105,165,105,228,150,218,19,60,58,165,224,145,25,168,11,92,170,92,13,195,105,240,165,215,60,105,90,135,102,105,90,105,150,150,102,63,45,40,165,153,105,103,136,106,150,124,72,180,195,153,53,153,95,127,55,103,149,175,253,253,95,28,57,223,84,7,48,92,148,80,216,73,150,154,125,70,23,44,6,21,150,150,100,222,105,150,150,106,134,162,40,150,150,150,150,150,108,170,118,220,239,164,150,90,150,192,88,184,219,153,17,50,240,153,24,237,91,34,150,249,150,77,183,99,156,133,143,209,115,112,153,199,207,230,31,157,235,247,95,1,3,144,224,209,79,4,38,235,150,106,76,214,16,219,251,168,78,180,128,171,161,51,196,75,131,238,77,221,60,184,0,60,170,114,169,173,217,165,4,185,245,25,227,98,247,188,165,251,17,64,207,107,168,81,185,132,157,55,25,32,165,184,216,166,187,108,115,51,151,150,153,48,183,121,159,172,213,34,19,253,14,9,139,37,150,25,111,204,189,76,251,124,139,18,193,10,26,108,48,151,120,165,221,12,4,217,109,58,245,143,122,26,87,67,94,202,71,170,49,184,200,242,249,172,126,237,148,228,153,6,64,172,200,164,77,254,103,115,230,138,182,175,80,153,68,99,229,191,40,132,32,167,138,112,199,148,172,94,6,154,80,174,63,60,85,189,110,91,15,179,26,181,150,36,204,255,188,102,149,57,143,8,3,4,156,195,196,176,100,204,123,17,128,27,13,150,188,116,89,246,210,187,26,171,242,97,173,194,232,111,127,253,122,118,154,10,113,45,135,118,1,86,240,222,136,57,23,38,100,227,154,153,192,168,69,195,25,245,102,157,157,195,135,154,37,233,8,252,26,113,85,114,100,233,67,51,167,194,103,22,246,130,139,83,238,65,151,194,115,241,47,165,141,206,228,197,199,180,98,3,231,196,85,77,77,98,100,99,165,165,134,32,82,20,229,102,126,54,210,176,111,168,201,250,162,180,118,126,248,250,169,134,124,82,6,216,57,105,102,24,133,136,184,112,120,153,169,66,80,58,153,207,39,220,240,193,38,221,61,129,136,131,245,109,160,173,160,217,100,173,88,72,195,40,95,101,239,32,0,42,106,210,82,153,205,253,75,107,29,15,36,80,240,92,64,144,90,194,165,71,68,169,187,118,178,106,195,183,177,84,165,254,16,253,175,104,30,238,12,224,221,21,156,246,10,8,132,83,242,202,94,118,147,104,146,106,232,209,89,235,161,3,106,150,105,89,130,1,201,153,244,221,141,90,191,199,98,192,90,49,8,110,227,124,93,234,149,236,74,156,51,149,45,2,87,233,199,137,228,124,154,71,230,171,226,232,111,83,15,184,177,172,105,150,63,10,16,237,193,23,74,3,82,201,105,24,214,248,150,150,255,108,202,255,78,221,86,200,107,57,60,255,105,153,64,6,55,182,105,78,174,106,139,235,150,14,155,201,23,174,66,210,48,106,150,150,65,150,165,150,183,150,152,88,176,139,57,30,204,82,240,217,37,129,113,90,105,75,150,102,160,116,248,150,195,162,37,25,189,163,84,195,81,150,132,109,212,93,153,153,154,223,150,41,86,60,154,47,52,243,128,39,252,22,156,150,105,105,165,105,150,198,110,33,75,150,150,89,121,9,67,195,90,96,32,195,249,156,27,0,132,65,249,55,35,41,31,116,46,95,165,165,90,105,150,90,90,105,102,150,102,150,85,133,155,132,16,175,90,150,60,150,150,60,129,150,190,60,150,150,105,105,165,165,195,165,165,150,150,102,102,105,136,90,95,24,17,3,219,102,6,166,102,133,150,253,150,120,96,187,150,21,204,34,248,90,150,154,165,90,150,150,105,105,150,150,105,40,41,90,45,164,253,129,90,196,120,7,213,224,221,45,231,230,161,196,83,80,225,150,153,20,105,205,166,191,2,202,242,13,65,233,150,150,150,165,150,165,90,195,90,105,96,106,60,150,76,68,237,147,158,90,40,150,86,90,96,106,60,150,150,107,40,98,120,150,153,36,150,96,105,132,106,226,102,158,132,150,165,150,150,20,96,96,249,87,25,105,122,72,96,195,103,199,228,105,24,101,206,150,123,164,150,135,46,15,20,166,246,0,150,68,40,105,146,24,40,29,165,103,150,90,180,105,89,228,134,42,213,71,223,212,60,60,171,174,93,135,239,105,159,158,63,92,40,224,99,45,123,96,60,90,150,151,120,132,138,114,51,152,199,169,45,150,36,90,39,139,15,93,46,195,83,21,104,86,71,253,141,36,16,153,121,10,196,65,190,18,255,113,155,43,235,180,150,195,150,255,125,154,45,249,63,165,118,166,59,49,131,60,239,188,29,35,195,110,26,238,52,105,104,69,58,105,30,64,116,194,19,185,150,252,63,150,166,18,99,163,87,218,222,140,156,53,12,60,186,234,53,151,96,215,195,204,99,55,58,50,81,80,45,32,193,50,207,0,158,171,237,242,21,116,93,190,224,50,177,85,230,19,72,10,192,147,56,113,194,32,156,232,33,202,64,150,255,26,123,16,175,6,64,214,240,190,89,155,25,24,60,51,149,105,150,150,150,90,150,251,105,8,235,48,105,192,255,113,51,60,195,156,148,198,75,34,90,204,105,210,38,61,224,246,66,196,90,195,239,150,47,168,253,32,103,192,251,54,105,111,180,240,199,86,1,250,54,154,170,28,23,123,209,198,252,150,191,120,195,149,180,135,254,197,165,84,222,150,90,180,150,21,90,227,226,112,165,152,153,28,167,252,229,102,126,54,210,176,0,90,102,16,221,182,21,79,105,59,102,195,26,204,90,150,90,150,150,155,24,131,3,150,126,102,58,149,230,171,165,150,255,165,216,232,168,138,144,153,69,204,124,182,164,153,90,222,13,224,195,247,173,65,104,69,58,153,128,150,86,96,116,202,250,79,1,202,213,85,254,51,102,68,182,165,195,160,131,157,89,102,195,41,136,228,195,90,150,198,255,152,209,143,149,165,150,127,153,109,107,83,13,199,107,59,67,180,223,32,189,240,123,198,58,109,117,51,228,135,150,195,149,197,37,143,171,67,150,165,251,228,179,241,90,150,150,165,105,150,105,165,69,152,22,19,81,61,9,159,198,80,90,150,220,145,90,150,61,44,88,248,183,158,196,155,168,254,119,150,153,47,141,129,10,35,105,128,141,189,240,112,60,237,147,68,149,221,170,164,35,117,208,245,18,61,70,221,73,154,227,31,210,94,7,89,112,175,83,3,246,182,5,75,186,219,171,65,100,140,247,195,83,125,226,103,4,221,192,54,2,85,180,251,247,164,70,165,91,20,187,95,31,173,206,91,81,144,69,165,255,188,39,161,106,15,90,138,28,160,166,57,237,90,75,219,150,36,150,51,222,19,153,153,165,79,105,69,254,11,90,47,0,105,211,69,200,213,90,70,195,165,145,216,23,204,4,56,216,29,217,241,164,153,92,46,236,105,90,190,51,40,45,72,61,165,165,204,199,69,19,186,152,174,60,154,3,90,153,171,153,182,80,198,86,171,96,171,254,166,252,102,59,102,249,88,204,0,253,239,162,253,204,16,252,33,150,0,123,198,191,98,43,78,136,75,12,31,12,198,115,251,76,150,165};
static const int N[] = {1721,1306,94,1895,736,2673,1418,2106,2397,1418,2064,259,3166,1484,2964,1484,259,2316,1288,865,1288,2956,1288,1368,7,183,1716,1325,1418,1716,2659,1716,2064,1716,549,2770,2162,2770,2956,1929,1368,390,164,1756,1368,1738,1368,390,1756,1368,1756,164,3166,1738,921,89,1096,121,549,2064,549,1895,2064,3071,2064,1756,3027,2770,3027,1867,783,137,1602,2017,3027,783,1602,3027,1867,137,2017,2389,2592,1825,577,62,241,2726,1309,3042,2017,62,137,3042,1309,2017,241,1309,137,62,2726,3042,241,2017,2590,3105,878,1665,878,434,1484,712,3105,434,3105,1849,3007,501,2932,378,825,3174,490,1288,3174,2017,1664,2192,1418,1288,1418,933,753,2015,466,1912,1195,1560,1195,1628,870,1560,753,466,26,825,466,1686,957,3166,2106,1686,1738,1042,825,2700,825,1198,1288,498,2838,1005,1393,783,1005,3027,1602,1393,1005,3027,1393,783,1867,3027,783,1005,498,1867,577,783,2592,1393,1005,783,1825,783,1867,753,498,220,753,2331,498,1393,7,1825,2331,183,2592,2064,498,1393,878,1912,7,753,1825,2064,2147,2064,753,1825,2147,1912,7,2903,659,3032,2184,1393,1489,878,1489,659,2184,1393,659,3032,878,1489,3032,1489,498,241,291,3061,1852,2852,2799,1707,1510,2799,866,2852,2903,2799,2266,2923,2266,2153,2967,797,3185,1113,3185,1826,1140,1370,1894,2967,2799,1894,1489,1370,797,1393,2967,659,797,1489,878,2799,1894,2184,851,2184,205,474,695,474,292,695,1418,474,1123,1029,2266,933,1029,2350,2295,2876,468,319,332,1243,468,2350,468,1243,332,319,2153,474,332,2838,1029,474,332,474,1029,1484,205,468,332,468,1484,1029,474,181,332,181,1140,1484,205,1029,332,825,1826,1484,474,825,474,2184,825,1288,2698,1288,7,2356,1609,2356,7,1288,454,1774,3012,1323,2834,3033,199,57,2659,1073,2546,1087,675,86,2764,2236,408,2605,1916,2233,1854,1106,791,697,2605,1532,675,2605,1532,791,697,675,2546,2208,1355,1288,1355,575,3,792,1421,374,1111,715,1477,2039,1861,2039,1495,3135,792,3,1111,792,1495,374,454,374,1774,792,3135,1495,1774,1111,374,3135,792,2039,736,2673,1421,374,2208,792,3135,3061,2208,1774,1852,374,2673,792,2208,792,1421,3061,2673,1852,3185,374,1774,3061,1111,1323,3185,3061,1852,3185,2356,1774,3185,1111,1852,2356,2390,374,3185,3061,1111,374,1323,2390,1852,3185,374,3061,2356,1852,1323,1111,834,1060,1829,884,943,1367,1447,1457,3125,118,1389,175,1382,1656,529,2531,2676,2684,411,742,479,726,295,1130,2872,876,2532,2934,1954,751,2673,1874,2673,298,1530,2923,1861,983,1479,528,2923,3105,2923,1479,1861,983,528,3007,2923,1861,1479,2923,3007,983,1532,528,216,2022,528,2917,2765,1393,2842,2118,1812,2917,2495,1256,1673,1058,2495,2917,1673,1058,1489,2842,2765,1256,878,2146,1048,472,2712,2549,2767,2887,2462,1137,2767,1673,2767,2887,1370,2118,1137,1894,851,2799,2887,1370,2118,2462,1559,2471,1532,1455,851,1852,1455,1532,1559,2471,306,1523,684,951,1282,2917,1523,2917,1282,1048,684,951,126,1282,2049,1677,2049,2917,1073,2387,2475,2864,1101,684,2387,951,2864,2475,1101,1554,2048,357,1113,1555,125,86,1554,125,1555,1113,357,86,2964,1554,2964,1555,86,2964,125,2048,1555,2387,125,1113,1087,2964,2917,1087,2387,2049,125,2917,357,1555,3033,1087,2048,357,1555,2387,2964,1087,3012,357,2387,3,2048,1282,3012,2964,2387,684,1101,1555,951,3012,1113,126,2964,2917,3,357,86,3,3033,3012,1101,2048,126,1282,1140,2917,1477,715,2917,1325,2673,2266,1113,2964,126,2266,2048,2673,3012,3033,2917,1113,1325,3033,2923,199,684,57,2923,684,3012,454,1325,2917,298,1484,2673,3033,1325,298,2917,3012,2233,684,2917,298,454,2233,1854,199,3012,454,3012,2917,2233,575,298,1854,1355,3012,199,298,575,1106,695,575,2233,199,3012,2917,1355,298,1106,1061,32,1106,1756,2659,1061,298,1756,2659,1355,32,1355,1756,2764,298,2659,1061,1106,408,1061,2659,2923,1756,1061,1756,298,2923,2764,2659,408,2673,3012,1061,2659,675,2764,298,695,2917,408,2923,1061,1484,2923,408,695,3033,2923,1325,695,3033,2659,408,2917,1916,2659,695,3033,1854,1916,695,2475,2923,1325,298,2236,2917,408,2546,2917,695,2659,2923,2236,2659,298,2475,1916,2923,1325,1113,695,2546,2590,490,1355,408,2917,2236,1418,695,2017,1355,1113,3174,490,2590,865,2192,1664,2923,1418,1664,1325,2546,408,1664,2192,1854,1826,2917,791,2236,1664,2917,1418,684,865,454,1106,1826,2192,1854,2917,865,454,164,3012,454,408,1916,164,2917,164,2917,2764,675,1418,1325,2546,865,164,490,2546,1243,865,675,2475,1421,791,298,1355,791,164,298,490,1243,1716,2956,2475,1421,2546,1355,26,675,1890,612,1738,791,466,1149,2853,526,466,791,1149,526,1738,466,2853,3103,526,298,466,526,3103,298,2853,3103,791,466,259,1861,1738,241,526,1861,791,3103,259,241,736,2853,526,498,1861,791,2853,736,1738,291,791,466,490,3103,2956,791,1716,1861,466,241,2956,498,1716,791,291,1861,3103,791,1716,2475,466,291,1243,3103,241,1849,526,1861,498,241,1421,1861,241,526,498,1849,241,2546,1861,498,2475,1861,490,241,2546,791,2475,2546,1716,241,526,498,1479,1861,2546,1849,1479,1861,791,26,1716,791,241,526,1861,490,1849,1479,498,1355,957,2084,2595,1151,225,490,2987,1236,1533,2270,1654,567,924,1245,281,2106,1245,1861,2130,937,1616,2714,1187,937,1616,1236,937,1187,1479,2714,1187,2714,2084,498,1042,1355,1479,498,2084,957,736,2084,957,2714,498,2595,2987,1042,2595,1738,498,1151,2714,1616,1479,104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97,189,2322,2375,2411,1206,763,1221,2640,845,1122,412,2719,1507,1027,852,497,1302,2599,334,2935,2114,1011,901,2342,632,954,488,2688,2222,902,1190,471,187,3101,3082,2664,2359,103,2229,1069,953,343,550,2288,1688,217,1862,2998,1508,831,465,1410,159,512,496,1978,1934,811,1800,871,184,119,1419,1339,2136,1011,1023,2703,1043,1273,360,649,2768,543,1926,2727,2245,3035,1326,1934,1910,2885,2382,2756,1672,3190,1949,49,3019,868,571,2358,2802,204,566,687,2289,721,93,525,865,2715,1070,2242,3186,1370,2053,3167,1986,1373,1545,2919,113,1467,1208,2630,154,167,2760,3006,2728,2300,1379,72,1676,3029,282,313,962,2848,310,2370,507,2104,3103,3050,1868,1637,3100,2380,273,1646,1182,2577,3149,3031,178,2313,1876,1558,1464,2422,1284,2958,1478,2170,2963,2048,328,2339,340,2484,470,3087,1582,2990,2098,1101,881,2085,2885,189,2140,4,2860,1948,2594,1428,1698,1056,1727,528,2824,1036,3010,225,166,942,1182,3020,947,628,316,1401,2725,1081,667,1181,2629,1724,2279,2764,2423,1533,1245,2876,1145,2698,2947,2932,3003,1477,1505,1493,2637,695,2062,2691,2502,1061,972,904,524,343,2467,2498,3062,2203,2499,456,1695,1236,1463,138,2925,605,2714,1307,228,1358,2740,2268,1081,2660,2593,2078,1408,1120,3161,3146,41,3095,1169,2773,1107,749,1199,3007,2256,2019,2772,2338,1257,1757,519,1479,1020,758,84,809,2285,1362,1258,1338,1279,1809,754,456,1819,1933,2408,889,489,3032,539,1999,734,62,1872,2558,1897,1944,203,1985,76,2702,236,1649,1421,2445,839,2164,3132,35,2025,2459,2171,2173,2827,812,1352,257,1829,685,1213,3036,933,333,3206,3048,1581,1542,916,2751,2957,737,2983,923,522,2596,2027,2128,1825,792,1111,233,2888,2826,2263,3120,1479,1830,1692,384,1165,2188,2823,607,1798,982,284,213,419,3103,2228,1419,3189,833,1768,1966,775,867,2917,1976,2469,2413,488,3082,135,169,1213,2915,2832,1597,1130,1873,3159,1660,2596,1268,501,1771,547,447,42,1740,283,2062,217,2462,2514,1951,3071,2569,2782,2632,3162,2004,1221,1179,2791,872,578,1346,1736,2168,1129,2453,597,2873,2909,1889,2724,3123,1071,117,422,2088,2870,436,2290,1300,1814,1020,1159,2230,2201,1334,1299,1000,939,2030,1805,1297,1517,2277,2745,860,2713,1422,3087,1730,266,436,2914,922,2033,1386,108,1160,3205,2300,89,940,470,1104,3164,3132,1286,1630,589,2614,935,254,2337,1135,3165,874,886,1516,1132,480,833,2433,2091,975,536,1029,2750,2727,1541,2752,1761,97,3157,268,203,609,34,785,2474,1491,3101,1907,669,189,1143,2756,285,3166,2689,559,2625,49,2431,1156,2901,1667,1959,1963,1685,258,402,203,791,1906,678,2216,1098,185,2423,62,1286,2544,643,551,305,1401,1313,2416,2789,3166,2,605,1696,881,1912,2738,3141,1727,1347,3075,3164,1226,3019,1537,2394,60,2202,1833,285,2974,2229,667,1602,2042,107,879,668,964,530,1504,2369,312,3091,1861,926,2645,892,1265,841,1906,943,238,2446,443,942,350,2580,687,692,2906,1424,638,359,1086,2253,1452,2082,2864,2937,2917,1064,825,2539,71,2746,1135,202,2702,1212,952,1098,742,442,1895,2605,2717,433,121,597,757,2633,2544,303,679,707,541,469,434,1845,2479,2876,1497,2495,773,2771,3040,1543,1812,660,2056,2965,2551,1663,2744,2037,3207,665,616,2948,2052,2169,1555,2554,3107,2987,2472,2830,1068,477,1312,594,2663,854,965,1185,820,1610,207,2465,384,1921,3072,1339,3191,2617,3139,847,1513,1020,2342,394,2437,741,2957,2982,3194,1572,1858,992,561,2466,1887,3151,727,1866,1662,3100,2807,2816,1169,1712,79,487,922,2315,1474,1267,1937,2537,1661,895,666,369,1161,2859,2015,2317,1652,1781,1502,3079,930,1525,1504,1620,423,595,1292,2404,962,2052,1637,1684,782,3053,555,1622,1928,644,1368,2023,728,2041,38,3030,942,1390,2451,1813,3100,2133,8,2339,1971,409,1865,720,1365,1921,1822,3043,731,1136,724,1875,417,2836,1779,1356,2898,58,638,293,695,2793,2356,576,411,2284,1268,1591,2912,986,829,2523,2936,192,1105,235,2268,719,1796,2840,3145,1861,1843,1331,400,1330,960,1635,372,1125,1397,826,2521,1027,2748,217,2530,1193,2908,1,2089,1312,1723,121,531,1451,989,743,2736,534,514,2324,2077,1547,2791,697,336,2455,2968,2588,2909,2715,603,2735,230,2830,2350,2752,279,1902,3075,2536,1824,2742,1590,2100,1368,120,2302,431,1420,76,266,407,2302,2445,42,1284,1317,2033,1561,793,3203,442,1135,1789,2918,2978,2432,2417,1984,1192,413,1752,485,2335,2756,471,282,141,2753,1183,1177,2359,2154,3031,1846,265,1392,2873,3082,115,1089,1881,71,1496,949,1045,209,3183,965,1032,2714,3147,2840,2925,454,1434,2131,2592,3036,742,1985,1200,151,2690,1816,254,2079,583,784,737,1197,2205,2166,1748,2889,1563,1779,838,2400,1572,2597,2890,1335,1979,537,1428,1298,2379,2735,1702,3061,2065,2770,3103,1353,758,835,302,2713,366,2266,3069,2143,2798,3102,2287,541,496,1805,1387,858,2559,641,1330,3197,1048,2270,3109,2084,2269,945,2777,2043,2593,2800,2639,2631,2660,2714,1412,514,2694,50,2311,2662,3158,1707,1503,1860,1299,751,2813,1548,828,1453,2785,15,521,992,1945,1918,671,910,2278,2093,2361,1298,3079,99,1794,1658,1698,2319,2215,2860,594,3161,1052,1455,1604,2970};
static const int A[] = {1364,1364,2924,1364,2924,1364,1364,651,1418,916,877,916,2924,916,1484,259,1364,2924,651,1288,220,1288,220,2924,220,220,220,1716,220,220,2064,143,1716,2924,143,143,2956,1364,143,1368,1364,651,390,3166,651,390,164,1368,2924,1756,143,143,143,651,2106,877,1138,549,143,549,1895,1138,1138,2064,1138,1138,2770,3027,1712,1518,1518,2924,137,137,137,3027,220,220,1364,1364,1518,549,1354,1138,1354,1354,137,877,1364,1309,137,2017,2017,137,877,62,1309,2017,2390,2390,651,2924,2390,2390,1424,1424,1354,878,1712,1484,1424,3105,1518,3105,1364,434,916,1364,916,1364,2331,877,3174,2331,2017,877,877,1418,1288,1518,2331,2331,2331,1712,1518,181,1712,1518,877,877,1560,753,466,181,466,877,26,2924,1686,1686,921,957,143,466,2390,825,181,1288,181,877,1518,2909,2924,1867,3027,1867,1005,2909,877,1288,1005,3027,3027,1393,877,783,577,2592,1867,2909,1712,143,7,2909,783,1825,878,2909,1712,498,1518,1712,1518,753,498,1912,7,2331,2331,1354,2617,1424,946,440,2909,2064,2064,1354,1912,2147,89,1712,2064,2064,1354,2617,1518,1712,3032,659,3032,1489,2617,1518,498,659,2184,1424,3032,440,1489,5,5,498,651,137,137,2390,1712,2903,2799,5,2799,866,866,878,197,2266,197,197,878,2967,440,3185,197,440,197,5,1489,2799,2967,2799,2184,1894,2799,797,1894,1393,2967,1370,2967,2397,1393,1370,2184,197,1322,197,474,2390,474,1560,440,1322,1322,1354,1029,5,1123,2162,946,1609,2700,468,2162,468,332,1243,1609,468,440,332,474,2617,474,332,1609,2617,474,181,332,474,1029,1518,468,1484,588,1140,1484,440,1140,1029,440,1322,1484,588,440,588,2617,1560,588,2184,916,825,588,440,1288,588,1322,1609,2356,2924,2153,1697,2876,1123,5,1697,440,1665,2659,581,1697,581,1697,1665,2617,1113,1364,1826,292,2617,507,292,507,507,440,2546,2546,791,2605,675,1697,3032,507,1826,292,507,1288,1355,1288,1288,1685,1685,1685,1697,3,507,1685,1685,2039,1685,1685,3,3,3135,1697,1774,1774,1774,1495,5,374,1421,374,3135,651,736,1364,1774,2673,1111,1685,1364,736,1421,1421,1852,374,651,137,498,1774,736,374,1774,1852,2208,581,1685,3061,651,1685,1323,581,1852,1685,1852,1323,1774,1774,581,1774,1852,2390,1774,2390,1774,1852,1852,2356,3185,2617,3061,1712,1111,3061,1111,1323,374,2390,3185,3185,2390,2390,2390,3185,3185,374,374,3185,3185,2390,374,2390,2390,2390,2390,2390,3185,3185,2390,3185,2390,374,3185,2390,2390,2390,3185,374,2390,374,2673,751,2673,2162,3003,1861,1530,916,1530,2923,3105,3105,1479,434,434,2923,2924,983,983,1861,2924,1364,3003,1532,3007,3007,3007,175,1389,3185,1393,3007,1489,1393,2700,2917,1393,1812,2495,2495,2495,1673,1685,2162,878,1812,2876,1393,1123,2876,1812,1058,1393,1058,1812,1812,1058,2887,1673,2118,2462,1393,2967,2887,2887,1370,3185,1137,374,3185,3007,1137,3185,374,1532,851,1559,1532,3185,3185,1685,2162,1685,2471,1685,3003,1048,1048,1048,951,2964,1113,1282,1048,581,2917,1697,2964,2917,1048,1697,1048,1048,684,684,684,2475,1677,126,1609,1685,1665,3003,1697,3003,357,86,357,125,581,86,2964,86,1113,1555,1554,357,1697,1677,2048,1555,2048,125,1087,3003,2917,1697,2049,1113,125,3033,3033,1555,1677,2876,5,1697,1555,1555,3012,3033,357,454,2673,2387,1697,1282,3012,3012,2387,1101,2048,2048,2964,507,658,1101,658,2617,181,1113,2617,1113,1113,126,357,658,658,507,1477,1101,1058,715,1393,507,2917,1477,1101,126,1101,2673,2673,2266,1477,1282,1282,658,2673,2923,2673,2917,581,199,199,581,57,2923,1560,57,1560,292,1484,3012,1484,1325,292,507,57,1826,1106,298,1106,2917,57,57,292,1826,298,2233,2233,199,57,3012,3012,1560,575,2917,57,507,1355,3032,3012,1355,199,507,3032,3032,57,507,1697,2924,581,2659,1106,581,298,1756,581,2764,581,1061,2764,298,32,1560,1560,2764,408,2764,298,1560,32,2673,1061,2673,2923,32,32,675,3012,298,2764,1061,408,2673,1288,695,3012,675,2659,675,2917,1061,408,3012,1560,1916,2923,2923,408,1854,32,32,2546,3033,695,408,1854,2923,1325,658,2475,1916,5,1916,1916,2475,1325,695,298,946,2617,2917,2917,2546,2659,490,1854,298,1113,2617,946,1916,2617,2923,1325,1113,2590,651,2192,2192,1664,1418,3003,1421,164,2387,1113,468,3032,2387,2192,865,2923,454,684,1418,1664,408,408,2192,791,3032,2192,1826,1288,468,1288,1418,1113,865,454,2923,2764,2923,1288,2923,1288,1288,865,164,2917,468,1916,164,3032,164,490,1113,675,2387,2678,1243,2475,2546,2678,2546,490,143,2924,2956,2956,675,1421,1355,1738,2924,1364,434,164,1716,164,1042,164,2605,2605,164,3105,791,612,164,164,2924,466,1149,791,2853,164,164,164,612,526,298,1738,3103,1861,791,298,3103,1364,291,291,3103,498,2853,736,736,1861,241,1738,526,1861,259,164,259,612,241,241,736,1861,3105,3105,434,490,291,466,2605,577,2605,2956,2956,164,791,1716,1042,612,1042,791,1716,791,291,490,791,3105,164,164,291,164,612,1421,164,1849,1421,241,164,164,1861,1861,612,1849,498,2546,1716,498,916,1479,498,2475,241,2546,2605,2605,2475,241,1042,498,498,1861,612,26,1849,1355,1479,26,612,1042,577,957,957,1861,3105,1849,298,1849,957,1849,298,490,1849,1042,1849,1849,225,1849,298,225,3166,1245,281,1849,298,1861,612,3105,937,937,1616,1187,281,1849,281,957,957,2084,281,2595,1849,2595,2595,2084,1616,1738,736,498,1849,3135,298,1151,3135,1151,2595,1042,1849,281,298,281,567,1849,567,567,1042,2475,281,281,1849,281,281,184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346,1346,1327,1327,1327,979,522,522,2296,522,1333,1808,842,2413,2882,1315,2813,783,2818,917,2634,195,3051,2849,2849,3073,39,2849,783,195,2413,784,2849,1391,694,2220,341,507,1658,1658,1297,40,2474,2474,616,700,2220,3051,1246,2220,1106,2849,1187,1187,549,2172,2170,2220,2811,1907,2405,545,3051,2220,2440,1976,3051,2863,2142,2818,407,1651,3073,1651,1651,1880,1880,1440,416,2811,2220,1971,2346,1971,189,1093,1093,2411,3143,763,2463,1749,1221,763,2463,2463,1507,1507,1645,497,1302,2599,2599,845,334,2114,2935,2342,632,2513,2513,2811,954,2818,1190,1190,2222,471,3101,2811,2599,2811,407,1525,2811,343,1069,550,2599,217,14,2491,2998,2513,831,3101,2818,362,2782,1413,1934,39,1800,811,184,184,1419,1419,1688,407,1419,1651,2703,1043,632,2703,1273,2811,266,543,2245,1926,543,2245,1326,2885,2136,2811,2811,2870,2870,3190,49,2382,868,868,2358,2802,571,204,687,687,2289,2513,2220,2248,2248,1070,3186,1370,2053,2053,3163,1760,1300,2919,1760,1467,381,1946,2630,154,2630,3006,564,2474,1379,1379,1676,2599,2599,313,313,2664,2848,1011,1023,2370,2289,721,1868,2370,1410,471,282,273,3082,2577,831,471,3149,178,3031,159,1464,2818,72,3167,72,2958,2963,2048,328,2339,340,2484,2422,328,507,2990,2104,1101,507,1868,328,189,328,4,328,2380,2380,507,3087,1868,1637,1727,528,632,3010,1948,831,225,1182,1582,2136,2085,942,328,1419,266,667,2599,2818,1724,2229,2811,2423,2764,868,1245,1145,1145,2688,2698,3003,1477,407,1493,1477,1477,1477,628,695,2691,2502,1477,407,407,2756,2725,2498,2594,1245,456,1695,1236,407,1463,2925,138,2594,138,470,2714,1401,228,2740,1358,1081,2078,228,228,1056,1120,1056,1120,3095,2773,1493,1428,1463,3007,749,407,2019,2772,2019,1757,2467,1257,3007,758,84,809,1463,1362,1020,1338,1020,1809,1258,456,1463,1933,2408,1463,2256,3032,889,3032,734,62,1872,1872,1933,1944,203,1985,809,2702,1897,225,1649,203,839,2499,809,35,1897,203,2104,1421,2171,2136,203,2164,1829,685,470,3036,685,2594,685,685,1581,1581,2383,685,812,737,685,685,470,2596,2027,2128,2957,2176,792,1037,1829,2826,2263,3120,2983,1199,1199,2263,1165,1165,3206,2823,203,522,284,933,284,3103,3103,3103,419,833,213,1966,775,529,1581,2917,2917,233,2469,1581,1037,135,867,2915,135,1597,1213,867,1581,1660,867,2751,1268,501,867,867,1581,2171,333,2062,217,407,2514,2514,3071,3048,3071,2171,3162,2171,1221,1463,2791,872,2569,1199,2782,2569,1129,1199,1830,1479,597,2873,1199,3071,2724,2632,117,1768,283,2088,117,2088,2088,1020,1768,1020,2870,2201,2088,1951,939,343,1798,792,867,1581,1517,422,2713,1297,3087,3087,1422,1619,2529,3088,2914,368,922,565,286,2300,12,2300,89,252,2534,3164,3132,326,548,364,935,548,254,1135,2991,1135,3165,2171,283,407,343,283,480,2030,283,480,1029,2750,283,1541,1761,97,1297,1132,203,609,609,778,2752,97,1491,785,785,34,1143,609,97,109,2689,1491,97,268,1491,2625,1156,2901,1491,1491,97,258,1685,1963,203,609,778,2814,97,185,1098,185,62,1303,2756,3166,3166,305,1491,3044,1297,3166,97,3166,2789,881,1491,1491,2738,609,1347,1347,3164,2544,2544,3019,1805,792,60,1118,867,2974,1597,1873,1873,60,1873,1602,60,964,60,2971,2952,2369,792,3091,1861,1581,892,1111,841,1906,1906,943,238,547,942,529,447,867,447,692,2906,285,3082,529,638,1086,60,812,2937,833,1064,1064,833,872,1064,825,2746,2539,1212,202,1212,1212,952,742,1098,2605,433,433,433,257,1649,2544,303,947,707,707,1419,434,1297,1845,2876,1838,1497,773,2979,3040,773,2771,660,1845,1845,60,867,2744,1359,1845,3207,1959,665,616,1845,1845,433,433,2987,2987,2987,2472,222,1312,286,1669,1669,594,1845,2617,1610,1359,2465,1785,384,1785,1921,1845,445,2617,1426,1426,847,1020,1009,2437,1515,741,2822,741,2982,239,1764,1764,561,445,2466,992,1866,2617,792,2807,1833,3100,2816,79,79,487,922,3042,1474,1845,1706,433,895,895,1661,369,1845,2965,1845,2015,2551,1502,682,125,125,1525,1525,1372,423,60,2202,1663,2037,1845,1581,1684,3159,1684,3053,1845,644,626,1368,1691,1691,686,38,942,2229,2451,2451,1813,2505,259,8,1971,2801,2659,2303,1845,1845,2088,1921,1300,1136,1136,724,1300,422,2836,3071,872,417,2836,293,58,58,695,2356,2030,411,2433,1268,283,2433,829,597,411,192,1297,235,485,1297,2537,2479,192,1297,1843,2840,192,1330,1330,1094,960,1845,1397,1929,609,1845,619,1845,757,217,1193,2530,1193,2908,1,2908,1,286,531,2328,121,989,534,2736,2324,436,2791,1491,336,1027,2455,2344,2909,1707,1707,1970,1530,226,230,2830,1810,2735,2715,1693,3075,1902,1902,1590,2735,120,371,431,1420,76,76,1929,266,407,2302,2445,603,279,279,793,1561,442,442,1561,2918,1135,1929,234,2417,1984,1491,609,1491,413,413,413,2756,2521,2753,907,1183,1177,2753,1984,1984,1491,1846,1392,1846,3082,1089,2359,1970,71,71,949,71,3183,1045,1032,1810,1810,3147,2889,2840,454,792,2745,1517,860,2173,1200,151,679,867,1845,1637,565,1816,737,583,1197,2079,583,583,826,2889,583,565,583,1572,784,2205,1335,537,3025,1298,537,2735,1298,1702,583,583,3103,2166,1197,835,758,2713,1903,2266,1363,3069,2266,2143,1854,3102,541,496,496,1387,1903,1197,1197,1197,1048,1048,641,2084,326,945,961,1396,2043,2777,1748,1779,2631,2714,1412,1412,2694,2920,2311,2694,2662,3158,2662,1503,1503,1707,2813,3071,1816,867,254,792,254,254,992,1928,872,867,867,1798,1740,2361,2278,99,828,671,1658,2319,2319,828,671,3161,1052,1455,2012};
static const int B[] = 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1244,492,194,1244,2012,1546,3113,1244,1244,375,1597,1726,685,1857,27,956,2084,546,1242,2876,95,1406,2712,2836,2196,32,140,1259,3166,876,467,2384,32,2784,255,2784,2182,140,1881,1881,2932,3036,876,876,155,2034,3166,2034,3094,386,386,3113,1242,2777,2015,636,3156,2631,97,2870,2870,1279,3140,2703,1389,3015,3015,1670,1955,72,2433,2271,1845,2340,481,1244,1244,655,1340,655,2259,722,814,2924,1460,3112,1670,1914,2997,2997,468,785,1670,1782,2810,15,393,3015,1244,2961,1670,1244,3015,2015,3015,2725,2725,705,569,491,1172,1857,2627,2522,2522,2522,3015,618,954,618,2662,1244,1670,492,2532,2563,2409,2961,2876,72,918,1538,2801,1073,2207,2466,906,1091,468,2612,1896,339,993,1196,993,1810,1614,993,2217,2240,2217,1955,2217,1349,1349,32,993,2240,438,438,2217,2302,2302,2217,438,231,2744,2744,3085,927,371,438,1405,1960,1044,2217,1087,1087,2586,2586,278,1368,2674,1087,2990,1087,2235,2235,297,2601,1095,2990,557,2433,1368,1087,1368,146,2621,2621,995,1368,1389,1389,1428,3085,2259,2046,3192,2011,2703,1389,2159,1726,32,1526,1095,346,1218,2244,72,15,492,1446,1446,2229,963,15,2985,2015,2876,3116,2015,3116,27,1034,2876,918,918,82,427,2096,993,2527,927,993,2948,993,1446,2441,2740,1670,1773,956,956,573,765,2096,85,993,2912,2912,1825,2096,2659,2659,2391,2391,1828,954,1828,2080,3037,1218,510,510,890,328,1755,1591,1591,3037,1556,1556,2674,1092,3181,890,1591,1591,383,2962,710,2029,1364,1368,424,7,921,921,3037,2012,1087,898,1538,1919,921,1906,722,722,3163,424,1389,921,2924,1389,2810,675,1952,2181,933,2262,2924,2873,328,2383,890,1591,53,1087,1389,3037,2441,562,1863,82,3037,2873,2873,2431,2873,2431,839,1340,1087,2873,2790,2873,1810,1305,2912,2290,2260,2383,1756,1614,1756,444,2733,963,1952,1389,3037,57,2237,1087,2237,2836,2836,1952,1087,1087,1389,1087,2836,2836,1087,2836,963,2755,2755,1389,2029,2237,1608,2029,1578,2237,57,2836,57,1355,1619,2237,2755,1896,2485,1952,1950,2153,1389,2836,2755,2836,1906,2478,2478,2578,1907,2755,2755,2237,1087,2237,1952,625,431,326,2262,2237,2755,2755,1087,2755,1044,1044,138,804,2755,2755,532,2755,532,532,2685,2755,2755,1773,1773,2555,3052,2836,2836,2836,2836,1389,3007,2962,2962,388,2961,1952,2836,2274,2567,2274,3060,2366,371,493,2383,2045,890,1087,570,570,2567,1911,2873,1719,2290,1278,2070,1767,2070,111,1767,428,2070,1935,2070,2852,1554,1730,2070,44,1591,890,57,2733,2713,2713,2713,2713,2713,2674,2713,297,2713,297,2713,2713,297,2045,297,297,2733,2674,2713,2271,297,2361,1593,2383,2361,2446,2713,297,2955,362,2955,1097,890,169,2099,297,1695,1882,3171,3171,2733,57,57,1524,2790,3171,297,3171,2047,2433,2554,2955,3026,699,890,3171,3171,994,1229,3171,994,866,890,297,1755,2713,3171,1364,2733,2153,1364,122,2462,1730,2674,297,1906,2512,2549,953,2725,2149,140,2045,359,359,359,922,2713,3171,2158,2733,2158,2158,998,752,761,2961,1258,1258,1163,1351,1351,3052,3037,1790,1790,2244,2237,2836,2755,2685,2685,2836,1277,1092,917,2836,654,2357,654,2463,569,3124,1653,1389,1087,1149,2836,1149,407,271,1745,1672,2237,2755,1351,470,2378,917,467,2260,2780,1351,2815,2473,2769,2815,2158,466,545,2783,573,545,2873,492,0,0,0,1771,2783,2021,2209,1515,1911,2836,1163,1880,2231,1351,1880,863,2212,1163,1351,765,1418,1418,3113,2262,691,1670,1389,1118,1118,2262,1670,152,1773,1673,3000,2262,906,492,906,205,2306,1022,403,2262,1040,2060,1040,1614,2262,2961,2262,685,1730,590,2262,685,2783,2898,590,3187,2543,1218,3015,2836,927,1943,1695,636,1510,2099,492,2910,1258,2212,2980,2237,655,1096,1993,1653,194,2051,2266,1351,492,2015,906,427,3023,427,2390,466,466,3060,2045,2834,2045,2466,2471,2471,2962,2266,2626,768,2488,2471,2015,1233,1233,2266,3059,2553,1613,72,2471,995,2876,995,150,1774,1613,2021,2815,906,2895,906,293,293,2546,1271,1271,3176,636,2668,1427,1021,111,2910,906,2266,906,2181,2181,454,44,2019,2019,175,1233,2925,2668,1726,44,388,44,1451,1428,2769,2769,3176,1726,3157,3157,1619,2195,111,2783,2783,1400,2955,1351,2145,1429,1629,777,2961,3171,2733,100,2713,2802,2703,2767,2341,1330,1907,2441,890,2674,2674,1040,2586,2340,816,2990,835,835,842,1406,2990,297,2990,904,297,3171,876,2802,140,501,1020,1034,2758,2990,2836,898,205,2627,1893,1434,1846,194,194,194,2674,491,491,194,2096,2320,825,1247,927,336,2240,3081,2836,2836,123,2670,1578,595,2945,2018,2018,3112,2870,2870,2120,3112,2302,901,2526,1244,1851,1576,901,901,1911,1914,901,2322,2262,2322,2322,2322,2961,2431,386,2322,2466,677,2322,2739,868,2739,1307,1911,371,168,297,2439,1020,2612,1091,2446,2012,3171,2260,2934,1950,3112,2378,194,331,2608,2608,1950,194,331,993,777,783,169,114,169,85,114,234,705,2262,3196,2262,2120,2378,194,1269,1269,255,2383,1269,1952,3012,2662,51,2662,51,2662,51,2910,2262,906,428,492,2662,2662,1893,2662,290,906,3157,2179,2329,2662,2910,2910,2045,1291,2045,2256,906,1305,2473,2582,1222,2262,904,2910,571,1826,1320,1952,2521,51,2257,429,1702,1034,2776,2662,2662,2670,0,138,492,492,2910,2062,752,922,403,2662,2670,468,1893,2045,468,1247,2670,2662,2662,906,2114,2114,906,2431,3140,2662,1172,2520,2659,1803,2429,27,2662,868,868,1271,1812,2231,3000,839,842,2662,842,842,2040,839,3000,839,2948,2269,2145,1893,839,597,1893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540,554,3135,1656,3016,705,580,1468,1314,188,1314,554,1240,1411,1240,2590,1409,111,111,2656,701,111,307,2656,148,111,111,343,2291,2652,1666,997,113,111,111,745,1911,1911,3064,1114,2845,1114,2509,2908,1409,113,113,1409,701,1772,882,2188,1497,1497,2680,111,2832,2832,1538,1212,1772,596,2524,143,922,1212,376,376,3206,2908,1772,1409,617,111,2374,1772,2808,2808,1963,298,767,298,1978,2744,2741,976,3049,1735,1453,1453,1505,1422,767,2016,819,819,2016,2060,1846,298,298,298,2035,1829,2377,563,2291,1505,866,1050,298,1204,298,1818,298,1469,1818,1354,767,1359,1359,298,2310,3091,2463,2808,298,298,1409,298,2278,969,969,3091,2016,299,2291,2491,2030,2633,298,3137,1422,518,298,1409,2588,2895,2588,2353,1054,1520,1409,113,3058,1409,2047,634,2618,2941,2291,2016,2744,2291,2744,298,2016,2453,1249,2016,2744,2944,2997,1143,2377,2760,2590,2291,2891,2891,2327,849,2760,1922,1895,1895,1081,1576,1409,3012,3012,113,2163,243,243,2211,760,429,1978,705,3012,2011,1978,113,113,2592,409,2592,2045,1823,1823,3012,3137,2458,2458,365,3010,1818,1409,3012,760,881,3012,59,59,59,855,3012,745,705,1451,1409,2188,3012,16,1153,747,1315,749,2011,2011,1520,1892,298,268,2826,783,56,1521,3133,1772,2973,113,118,118,1773,2683,2683,111,2016,3027,3184,2016,2877,2159,1114,952,952,1648,2744,2016,2744,2744,24,2275,2507,2333,1352,1105,1105,803,1469,2986,2597,680,2337,77,1707,112,1707,678,1953,2491,484,484,877,877,849,2375,190,2850,2850,484,632,2182,3012,2188,2188,1052,1352,1052,1178,2792,2744,427,541,541,1372,840,857,1352,921,2244,2486,2664,2379,1352,3022,113,1005,697,1907,106,106,106,3137,1352,1978,1409,2159,2159,2159,2690,60,532,2147,2664,3042,3050,2016,624,800,624,2363,1978,2895,239,3091,2512,2757,2891,2011,767,767,767,2744,1352,1074,2744,1074,1720,2833,2809,2809,2484,2908,3149,3029,2194,1184,200,200,37,2878,2878,2792,2792,47,1773,2878,647,2760,3168,2405,1892,2878,2744,2878,690,2793,1337,767,3037,263,263,922,1978,2878,3130,2878,2011,298,298,2922,2732,2922,2759,2878,3012,1948,3130,1779,2472,2089,2878,2188,2369,2369,2188,1089,3030,1293,2291,990,990,2016,535,401,2758,2758,774,1090,1090,1487,1409,2758,1409,1716,1716,217,518,1206,2253,1577,2758,2016,2016,1463,2758,2758,2760,2758,2758,2758,2758,2792,2792,1409,759,869,2878,2744,2915,2878,2384,34,74,2188,2758,1808,2546,845,1420,1978,2758,2011,1615,2758,1615,840,1178,1235,1235,2758,2878,767,2878,164,460,460,2793,2539,2291,2760,1453,2758,2049,1226,2382,2758,1536,947,1453,767,1408,1408,2239,2539,2674,2016,2304,2674,838,2758,2758,30,1409,1718,526,1892,1928,895,157,1669,3029,2758,2822,2822,696,60,2660,1083,2878,2194,1683,2194,2021,2188,1737,2891,1737,263,1953,767,1702,690,690,1409,2188,1766,595,1766,1482,3184,2599,1459,3133,20,20,3133,20,2802,2016,469,469,1505,2823,469,469,3036,967,3036,2129,297,2011,2592,2355,2592,2592,1848,659,993,2112,2450,2592,113,2175,2592,2188,1409,1474,47,2592,2211,2592,1851,1851,325,3029,895,1277,158,2592,2592,715,372,2592,1960,1960,2592,845,2350,2350,466,1464,2878,2453,2878,1759,2758,2592,2758,869,1566,177,2811,2017,767,2592,2944,1978,2944,2944,2402,3133,1359,111,111,515,2758,2758,715,376,2304,1635,2035,253,956,690,3000,2015,3174,2539,2758,495,1578,1578,1842,409,409,409,728,1464,2953,354,354,2190,354,354,1666,2513,2674,354,1666,3000,2744,2257,677,1659,1032,3149,2257,1614,1614,435,2329,1425,1425,2457,849,799,799,433,2016,728,2291,2187,728,842,2664,470,2674,354,433,98,898,898,686,2891,2592,3012,3012,2945,1808,3012,1552,532,463,289,1895,1053,2742,2742,2715,2004,2771,3126,1106,2659,2167,1371,2823,3120,767,2592,2509,2509,1189,2986,165,2577,715,2663,107,760,2363,2760,2760,3133,112,112,2162,2592,1087,791,1312,2878,594,594,913,344,803,803,2011,1260,1409,888,2057,1644,1105,1397,112,2110,2660,1326,624,1226,2349,1575,1198,1076,1575,1198,1837,2405,297,690,153,297,2823,2450,1291,469,1291,3130,297,2592,721,2420,2658,2016,76,1846,297,2744,2823,76,2744,2291,3189,1520,3189,68,2016,1846,3106,1487,935,2855,935,2679,297,2823,2911,2911,2592,2760,2200,1927,2200,1751,690,2911,923,923,3120,512,2491,1808,2911,3120,2405,839,839,1874,2965,3036,3036,1291,297,34,2985,241,2329,927,1337,3120,2174,2405,2174,2174,1770,59,59,1194,617,1505,1222,972,2016,1505,972,1377,690,2016,2310,2446,2310,2158,1351,871,1854,871,1714,1707,1707,1830,1351,2758,47,2249,2453,2935,1730,647,879,1308,271,2744,2016,2973,2973,1928,2272,1928,2985,1066,717,806,2244,1214,1352,2744,2379,2379,2848,365,2244,2291,2291,2841,298,3189,2841,2502,298,910,298,3033,862,2408,348,1368,3050,1111,298,1352,1352,663,2021,663,2985,3050,239,239,2016,239,239,2016,1583,239,1583,3106,2997,76,2291,298,239,2455,2182,2455,835,2098,3002,2090,1712,2377,2444,3050,16,605,9,1619,3174,818,1394,1143,1928,1928,1143,1388,294,2744,1111,2045,969,361,923,2210,3043,2599,239,1111,2715,1505,446,3029,157,2011,3120,26,547,1403,760,200,2541,2541,2541,3058,2744,2333,2291,994,1462,1713,1830,1351,2291,2869,1005,170,2663,355,1505,1575,2788,2788,2788,1398,1575,2291,3001,3001,3001,2379,1575,355,683,44,44,291,1575,1351,703,703,703,1265,1575,2291,1830,715,157,715,1556,568,3050,678,836,678,1005,2415,3149,811,1104,4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1740,2361,3079,1928,3071,671,1698,910,1794,3071,1698,2215,60,55};
static const int C[] = 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2860,3088,1604};
static void sb(int n, int b) {int i = n>>3, j = n&7; x[i] = x[i] & ~(1<<j) | (b<<j);}
static int gb(int n) {return (x[n>>3]>>(n&7))&1;}
static void f(int n, unsigned char g, int a, int b, int c) {
  sb(n, (g>>(gb(a)|(gb(b)<<1)|(gb(c)<<2)))&1);
}
void AES_128_encrypt(unsigned char *out, unsigned char *in) {
  for (int i = 0; i < 128; i++) sb(p[i], (in[i>>3]>>(i&7))&1);
  for (int i = 0; i < 1037471; i++) f(N[i], G[i], A[i], B[i], C[i]);
  for (int i = 0; i < 16; i++) {
    out[i] = 0;
    for (int j = 0; j < 8; j++) {
      out[i] |= (gb(q[(i<<3)+j])<<j);
    }
  }
}