/*****************************************************************************/ /* */ /* REGENERATE CYCLES */ /* 09/25/11 (dkc) */ /* */ /* This C program regenerates cycles for the 3n+c sequence given entry */ /* points. The number of even and odd elements in the extended sequences */ /* are counted. */ /* */ /* "jump=0" indicates a no-jump attachment point */ /* "jump=1" indicates a one-jump attachment point */ /* "jump=2" indicates a multiple-jump attachment point */ /* "jump=3" indicates a jumped-over attachment point */ /* */ /* "delta" denotes the number of odd elements in the jump minus j where */ /* t=u(mod 2^j) (for one-jump or multiple-jump attachment points). The */ /* domains of the cycles are also computed. */ /* */ /*****************************************************************************/ #include <stdio.h> #include <math.h> unsigned int euclid(unsigned int a, unsigned int b); unsigned int halbhung(unsigned int l, unsigned int n, unsigned int *M, unsigned int *N, unsigned int *sv, unsigned int *A, unsigned int *B, unsigned int *C, unsigned int *D, unsigned int *L, unsigned int *S, unsigned int m); int main () { int sin[2325+2676+2409+2643+2952]={ 1166,938,3170,4376,1094,1184,296,74,3998,2000,500,8210,5870,2702,1514,3656, 914,1766,7544,1886,1208,302,614,2432,608,152,38, 502,4708,1384,346,32896,8224,2056,514,694,7198,5302,13384,3346,1756, 4498,2188,3304,826,139816,34954,10708,3934,3466,1852,1774,27874,10954,3958,9082,8974, 40186,21994,11602,4852,4762,3826,1936,484,592,148,898,838,3088,772,646,2926, 5956,1618,1108,1276,1612,3634,1864,466,676,628,13942,21718,72262,63352,15838,10162, 4312,1078,10108,4096,1024,256,64,16,4, 12482,11132,7082,3158,3032,758,1682,1352,338,974,16118,10322,3782,12644,6596,3212, 5024,1256,314,620,1430,2060,3320,830,3086,16928,4232,1058,3806,4700,13502,13778, 4754,2216,554,710,8270,264716,86426,32912,8228,2036,884,668,16658,5564,4052,1262, 5678,7940,91214,14870582,8365958,6705992,1676498,472394,177650,58454,34136,8534,6056,1514,1070,7370, 3266,5300,1496,374,1466,1052,7622,63512,15878,12716,4832,1208,302, 718,772,1474,2086,38626,22984,5746,7144,1786,3424,856,214,940,1012,2614,1714, 6136,1534,1078,1390,1024,256,64,16,4,1258,11968,2992,748,4468,6064,1516, 10780,2524,976,244,3370,8350,3634,29248,7312,1828,1876,5272,1318,16126,6550,2722, 2788,5254,3532,4354,3706,3982,1996,3868,1228,4504,1126,9052,2200,550,9322,9814, 3640,910,844,5758,2662,15046,8170,31894,9850,6898,7036,1822,1186,1924,1798,10618, 85138,50524,9976,2494,1438,1042,7522,5488,1372,760,190,574,1282,1978,22486,7204, 11590,6712,1678,1132,4300,14710,25504,6376,1594,13534,5578,26332,5440,1360,340,2398, 1402,7756,43924,72988,14188,4066,3544,886, -66682,-24502,-9118,-10174,6566,2966,1616,404,2804,2048,512,128,32,8,2,13994, 7352,1838,4406,2156,908,674,4946,9482,31676,5336,1334,1004,692,1454,3626,2978, 7862,3452,6854,3074,10148,6674,8024,2006,1256,314,1436,548,2624,656,164,2462, 1574,1094,914,3164,4244,3518,1934,2642,4622,3776,944,236, 1264,316,19804,10750,27058,262156,74992,18748,74074,28282,11110,7510,4618,2236,5512, 1378,1270,5728,1432,358,1462,3604,1180,2674,2956,2092,3388,8806,6214,4756,1396, 766,8104,2026,10048,2512,628,622,2920,730,778,796,3754,1912,478,4702,946,3766, 5062,4108,2416,604,2650,1498,1066,904,226,433594,163102,269122,57934,38962,31486,66424, 16606,25114,9922,19522,5284,4918, 1472,368,92,992,248,62,1298,1856,464,116,2432,608,152,38,722,776, 194,578,644,626,740,932,680,170,632,158,1352,338,968,242,596,1184, 296,74,542,1568,392,98,1040,260,554,572,1424,356,914,848,212, 766,35074,31996,29296,7324,1942,1234,3562,3268,5518,4006,2008,502,694,4786, 18610,181222,68464,17116,3292,1348,2734,1654,1126,928,232,58,87562,50518,19450, 11752,2938,4546,6238,14884,13528,3382,1774,1384,346,1600,400,100, 23408,5852,1604,1718,1370,4094,2042,4130,3590,5534,2582,14282,26234,24542,9710, 4148,9422,4040,1010,1946,5822,2690,2780,1028,1556,5102,2420,3428,2180,1880,470, 1460,2774,5372,1514,74348,11342,4760,1190, 1330,1006,1834,4426,3706,1930,2380,13930,18628,4000,1000,250,958,4624,1156, 724,100276,11752,2938,1714,1150,4738,2284,2596,994,880,220,5596,2842,3166,2794,67876, 13234,5470,3766,32278,29644,34828,20128,5032,1258,47452,14614,14740,4948,7114,4840,1210, 1228,8086,9232,2308,940,2806,4090,2038,3604,4192,1048,262, 71828,13976,3494,3236,2402,1682,2552,638,6008,1502,9554,3248,812,2726,2804,1034, 896,224,56,14,2426,1418,1040,260,926,129110,127112,31778,12326,8204,3578,1850, 1202,5426,16358,10472,2618,1490,6584,1646,4670,10040,2510,4532,1358,3560,890,842, 824,206,2588,3506,8744,2186,1328,332,1364,764,3968,992,248,62,4208,1052, 2858,1580,3200,800,200,50,1310,27986,30884,6776,1694,15386,6278,4802,2240,560, 140,8042,3524,4658,18062,17654,7190,7250,4184,1046,3362, -51398,-682268,-190616,-47654,-354218,-247598,-138002,-51242,-458186,-106802,-39542,-55142,-125258,-56102,-85418,-145994, -81854,-81386,544,136,34,25348,6922,90022,41248,10312,2578,2722,2278,3136,784,196, 1504,376,94,1558,7714,39628,5356,2974,1624,406,3532,200632,50158,19318,9994, 19378,12172,2602,4612,4162,10468,4216,1054,904,226,688,172,4636,1378,2044,892,676, 1462,10588,2494,1444,1678,1138,1912,478, 3596,1184,296,74,1316,9860,8678,3764,3434,3206,1712,428,590,1058,3314,8336, 2084,48188,49226,28964,135344,33836,6854,3080,770,6140,2660,9698,10604,2498,10064,2516, 1982,2684,2414,1688,422,668,986,3332,3380,6176,1544,386,2570,2720,680,170, 1370,1280,320,80,20,1202,6626,8012,2012,5042,8402,40682,24158,175034,75308,14630, 5996,1634,3800,950,866,3152,788,1496,374,650,1640,410,47702,18398,14924,3308, 1130,1910,1226,1964,878,1364,1658,3710,5114,2930,7850,5690,3866,12872,3218,37400, 9350,4016,1004,698,1760,440,110,524,608,152,38,536,134,560,140, 896,224,56,14,518,704,176,44, 4204,2458,1432,358,1618,1348,2134,2476,1972,880,220,3724,7048,1762,10360,2590, 9118,8098,5266,2374,3670,3340,30418,9448,2362,1396,772,2878,4852,1420,3160,790, 1720,430,4690,2212,1204,736,184,46,2716,11746,5614,10960,2740,1024,256,64, 16,4,3286,3124,1096,274,970,874,838,712,178,21466,8560,2140,5500,4744, 1186,2350,7120,1780,844,1744,436,592,148,538, 6758,31826,12446,10592,2648,662,5096,1274,3638,5498,2342,7118,5282,2492,5768,1442, 1052,1574,6146,2816,704,176,44,512,128,32,8,2,18404,3962,2018,1268, 1316,758,3068,1718,3878,9062,18854,28016,7004,3248,812,11168,2792,698,16838,38708, 6338,2888,722,782,5384,1346,1016,254,1694,3788,8648,2162,1322,1388,3014,12464, 3116,4628,11978,13508,3044,1082,25586,10106,3314,1754,2546,1466,4634,2198,9656,2414, 2636,5822,3926,4124,2438,16292,3566,3284,6356,3194,1856,464,116,6032,1508,794, 1118,11888,2972,2114,1304,326,1478,9548,10196,4004,1262,1988,884,4148,78074,37136, 9284,2252,20726,19916,15992,3998,5246,9002,18458,6086,18296,4574,7814,32876,16298,7058, 3158, 574,10762,11308,2632,658,2986,2560,640,160,40,10,7834,5686,2644,3562, 2974,1732,5254,2482,6370,12220,2614,1492,1786,2284,940,688,172,544,136,34, 9520,2380,958,2590,1624,406,664,166,808,202,7684,25168,6292,7576,1894,1222,970, 13678,11950,34150,13318,5506,26314,20110,8266,12436,10492,2290,3784,946,4912,1228,742, 790, 2690,6026,7520,1880,470,3596,12704,3176,794,3806,1940,3254,5360,1340,764,656, 164,1328,332,944,236,5576,1394,2066,2444,2678,8006,14936,3734,3434,7370,8654, 3758,1922,9950,4244,4226,4946,4064,1016,254,608,152,38,908,6170,9494,5864, 1466,12020,27770,67814,19970,13802,10358,15296,3824,956,692,4604,1376,344,86,1934, 1238,36854,4100234,3462008,865502,325076,158306,102902,233348,50696,12674,13946,76640,19160,4790,6332, 1700,1760,440,110,554, 1198,3532,3928,982,5896,1474,1066,14404,3214,7654,8896,2224,556,4522,2170,2776, 694,8086,7438,27526,30154,14212,3178,1792,448,112,28,7330,3262,3118,13000,3250, 1732,838,2872,718,760,190,1390,2062,10354,4396,6952,1738,6274,2866,1588,8284, 9532,3964,2398,2632,658,748,22234,17374,11056,2764,3604,3046,5008,1252, 734,3062,3008,752,188,2522,1460,788,662,1658,1136,284,4358,3002,1640,410, 668,3488,872,218,596,626,1076,716,4952,1238,1982,7940,9398,6572,3134,16688, 4172,4052,1274,992,248,62,5504,1376,344,86,1334,2036,896,224,56,14, 4196,1490,6152,1538,8588,3290,1748,842,830,12134,16130,7016,1754,1172, 520,130,1360,340,5848,1462,1312,328,82,21862,13762,9028,3826,3094,8218,15184, 3796,16102,9172,48052,40780,10468,3688,922,2932,3682,3358,1774,1180,736,184,46, 532,3904,976,244,2548,3520,880,220,556,2692,2044,898,1792,448,112,28, 2656,664,166,1936,484,1582,1108,7840,1960,490,21886,8722,8254,3610,11602, 18484,80872,20218,19504,4876,12214,4336,1084,718,784,196,1342,1018,3304,826,3142, 5302,2392,598,9196,2194,3220,6220,3178,28306,16000,4000,1000,250, 1322,5126390,1922912,480728,120182,45584,11396,11402,58382,80486,30698,22166,8828,2144,536,134, 566,728,182,584,146,4184,1046,908,686,22904,5726,12260,7622,3374,4994,4736, 1184,296,74,1514,3698,5570,11240,2810,2870,1592,398,3572,2294,1376,344,86, 548,6974,2864,716,650,3266,8324,9458,10430,3836,1442,7670,3392,848,212,4238, 6002,7514,5516,1550,6128,1532,1118,52172,10298,7082,11348,18764,4034,9296,2324,9368, 2342,1394,3626,27998,20708,11186,11888,2972,20222,6590,2756,14642,14804,7424,1856,464, 116,13184,3296,824,206,11474,9614,9404,23390,15074,119288,29822,9290,5402,4328, 1082,1898,4808,1202,3464,866,836,6212,12698,8432,2108,6182,2834,8480,2120,530,43472, 10868,4346,3734,1916,1172,1730,6380,1712,428,596,19016,4754,8558,5480,1370,2060, 902,854,3512,878,2240,560,140,542,1496,374,656,164, 1906,11482,4822,5794,2416,604,4336,1084,6394,2914,2938,1618,2554,1474,1318,2032, 508,4516,2824,706,1102,3382,10678,5008,1252,26806,29788,29884,53278,53482,20572,10876, 8824,2206,10996,2578,16708,2956,2122,1312,328,82,1024,256,64,16,4,904,226, 4084,1282,1264,316,7108,32866,12706,3874,2902,6442,2932,1066,916,688,172,2614, 5416,1354,20122,8062,14398,76378,29158,17692,9916,45646,40966,24334,22984,5746, -14602,-14278,530,716,4706,2282,22460,7610,29948,9716,6404,1718,5300,2762,1682,1148, 1616,404,962,878,8726,48068,9530,14558,9482,3572,4460,5786,4316,16340,7862,11132, 4424,1106,932,692,2042,4622,5516,4784,1196,12452,2852,1052,280904,70226,26852,5552, 1388,4328,1082,24254,14936,3734,13910,50360,12590,97988,18890,6218,2654,2786,1562,2534, 19688,4922,10184,2546,1472,368,92,2600,650,1088,272,68, 4996,3124,3322,2890,2920,730,20470,8194,11866,12448,3112,778,1732,3190,1714, 6376,1594,6106,29758,17104,4276,13720,3430,1804,856,214,598,742,796,1018,1918, 2686,3010,3718,1912,478, 1298,2048,512,128,32,8,2,3134,1694,1154,1946,4106,14636,2966,1742,1172, 15302,8336,2084,1994,87536,21884,4622,2252,4052,6608,1652,33602,20198,17888,4472,1118, 938,5402,7022,3152,788,54002,42842,38612,25664,6416,1604,1748,23654,18308,6446,2936, 734,794,524,2012,896,224,56,14, 1810,1198,1972,1186,964,700,2980,1078,3376,844,4084,4246,5056,1264,316,6706, 3034,1762,1180,1630,3790,3430,8560,2140,1900,3268,1132,2944,736,184,46,1324, 2788,1042,910,8452,2104,526,1594,1672,418,676,646,8074,2818,1576,394,3592, 898,856,214,4276,1510,6130,3400,850,838,10402,4420,1348,772,664,166,3754, 3466,5536,1384,346,1006,1864,466,694,3052,7426,3304,826,2320,580,628, 524,1448,362,656,164,25514,10088,2522,1466,1070,3374,5318,4292,1514,1088, 272,68,920,230,1430,3662,6578,4016,1004,8234,3608,902,1808,452,974,2990, 4994,4796,7262,13418,5552,1388,4904,1226,980,704,176,44,1838,4022,4502,5120, 1280,320,80,20,4094,16922,6866,7694,11384,2846,6392,1598,15362,17468,9506,3584,896, 224,56,14, 4264,1066,9724,2344,586,2968,742,1120,280,70,10510,4462,2194,2536,634,6574, 2986,5710,2662,1660,832,208,52,2212,1924,1948,886,5704,1426,2104,526,718, 790,44278,31372,7270,2956,1516,3832,958,880,220,562,1618, -86374,-38002,-31054,-86482,-23410,-69934,-26734,-29596,-179284,-33094,548,4586,3884,1250,10040,2510, 1736,434,50540,9998,4004,8924,2168,542,2120,530,4910,2294,1382,1040,260,2588, 4388,7016,1754,2240,560,140,3794,31802,79754,46166,17834,11336,2834,7826,14144,3536, 884,4346,5522,11228,2492,30794,18626,18194,27266,25484,5300,2618,61286,23504,5876,3518, 38408,9602,10580,4280,1070,1214,8582,3740,5180,2984,746,1724, 4720,1180,4990,9346,5836,3988,1270,2020,1198,30124,9778,3664,916,694,1696,424, 106,562,1072,268,1558,2182,2422,2668,2056,514,2110,3718,3070,11038,11794,7516, 32854,19786,7942,4852,1432,358,2602,1498,1084,2938,1624,406,1534,38740,7786,3442, 1882,1228,4864,1216,304,76,6646,5044,1468,3100,5176,1294,4222,8104,2026,1282, 2434,2920,730,796,2530,4114,22648,5662,7258,3244,2218,1354,1030,1936,484,982, 1858,3424,856,214,1426,12250,5116,8254,7606,5584,1396,784,196, 2504,626,758,17786,5918,3524,1184,296,74,1928,482,704,176,44,932,698, 1112,278,2720,680,170,3476,2630,7580,3440,860,1550,2180,1418,34310,62726,95402, 63740,52940,57152,14288,3572, 2692,16894,5668,5428,2836,2104,526,35038,8602,6148,8146,64198,24598,9748,3562, 19486,8506,6094,7228,3484,4474,3826,5716,3148,1114,1936,484, 8900,3386,13214,5480,1370,9542,3602,3338,17702,7946,41840,10460,2486,2738,2852,2114, 8864,2216,554,2960,740,1520,380,596,2744,686,782,818,1772,2276,1952,488, 122,4418, 1834,7900,5290,4588,14596,3262,3148,5614,6862,2830,2704,676,652,2770,1564,1840, 460,2542,6262,9670,10654,7306,2974,2986,3292,3832,958,1852,4486,6280,1570,1114, 2374,4498,2212,940,842038,1069972,151384,37846,102490,45142,92626,35260,11230,7630,4072,1018, 12586,18418,7432,1858,1222,3526,5470,4390,10636,6982,8386,3670,13894,14218,4918,10492, 4264,1066,4552,1138,952,238,17296,4324,1336,334,449986,169270,218500,41494,129076,221638, 189502,107908,20758,199546,195010,73654,97486,108502,240838,205702,176056,44014,260134,251044,47596,202678, 260782,252250,108322,41146, -18994,-33466,-18382,3038,175004,167336,41834,16214,10436,3608,902,5576,1394,10034,8816, 2204,9032,2258,1556,818,4442,2192,548,998,1934,188234,71114,27194,10724,2348,1976, 494,4202,2102,2498,10292,2456,614,1772,1814,2336,584,146,962,3968,992,248, 62,2552,638, 2440,610,1660,838,2224,556,1000,250,6232,1558,1360,340,3898,4870,3964,1270, 1486,1084,730,3118,1696,424,106,4414,2182,2830,1588,3172,3802,5710,2668,2776, 694,4078,2056,514,1606,3520,880,220,568,142,580,1480,370,8140,17506,11164, 2620,1018,5098,10732,2350,1408,352,88,22,928,232,58,1324,1108,16888,4222, 2110,1318,6070,39406,15304,3826,8356,8032,2008,502, 3542,1856,464,116,1352,338,2792,698,1712,428,608,152,38,542,1076,1622, 1136,284,3182,4586,3452,18992,4748,1418,4640,1160,290,4574,2210,9290,29792,7448, 1862,1226,12458,7232,1808,452,7328,1832,458,5168,1292,770,13160,3290,3170, 8300,2084,3386,3224,806,830,4268,1328,332,590,2162,3776,944,236,572,1004, 716,662,776,194,1442,30170,18290,13982,4856,1214,7490,16412,3488,872,218, 1222,2008,502,3124,1114,946,2314,1396,790,1852,5464,1366,14950,9730, 3274,1756,3250,3286,4366,4408,1102,10276,6652,12004,19780,3706,1918,66166,34036,6910, 5380576,1345144,336286,429904,107476,20680,5170,4096,1024,256,64,16,4,22372,6634,3016,754,8920, 2230,10810,4582,3898,1990,2440,610,1096,274,3574,5068,2746,1558,2176,544,136, 34,934,1846,6490,2962,14752,3688,922,874,856,214,4606,24094,34786,10708,2536, 634,766,175618,38266,14878,23122,14302,71164,827866,310978,100756,19420,10702,100270,87112,21778, 17182,26038, 3842,1970,1268,2186,1874,1232,308,5786,11132,4454,6272,1568,392,98,566,8054, 264662,382994,144152,36038,25220,5258,5696,1424,356,596,1010,908,2702,17774,9020,3860, 3158,6752,1688,422,2870,12428,20366,37424,9356,7370,4052,1496,374,28466,11204,2630, 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29060,90758,34586,20834,23690,72998,27926,11024,2756,5222,2510,2846,1766,1214,1532,2708, 3788,1262,11168,2792,698,1772,884,1628,3602,5660,3194,3176,794,1826,6794, 4958,2360,590,6416,1604,5498,4472,1118,1280,320,80,20, 1624,406,32794,12850,76858,29374,183028,34870,25000,6250,2896,724,688,172,195334,111256, 27814,17026,24370,500812,142234,53890,81394,36340,7366,5524,1588,850,3622,3418,1834,1240, 310,3130,1726,66154,25360,6340,1858,1804,1888,472,118,26788,60964,40552,10138, 4354,6610,7738,3454,13840,3460,1642,1168,292,5308,7846,5794,2596,5890,17242,7018,3184, 796,43486,59524,9880,2470,2770, 1958,4280,1070,2042,7466,3068,2246,15944,3986,2048,512,128,32,8,2,554, 1124,764,1598,2282,1610,5360,1340,1760,440,110,1970,1292,2618,3110,5252,1538, 1130,1286,3338,5846,11894,29876,55310,37940,15566,69242,23966,14864,3716,1250,1022,13136, 3284,1430,5282,2534,4766,4064,1016,254,1526,8198,7712,1928,482,734,1796,890, 8780,6332,3164,2258,1400,350,1580,626,788,5012,1808,452,638,1742,16268,18644, 3590,4796,2732,6224,1556,5498,3104,776,194,225896,56474,52262,46724,9314,4046, 82934,133316,25550,39032,9758,6872,1718, 832,208,52,1756,1216,304,76,568,142,5248,1312,328,82,4006,2056,514, 3064,766,6628,13594,12838,5368,1342,4414,6358,2938,10732,2566,1516,838,868,23512, 5878,2758,1588,3694,2008,502,742,87466,50584,12646,5296,1324,802,3034,2872,718, 1432,358,688,172,586,1714, 1166,992,248,62,578,1712,428,1328,332,3728,932,3242,48098,28442,126344,31586, 19154,15068,3380,9488,2372,2054,4208,1052,752,188,590,776,194,1496,374,1076, 4862,2378,15320,3830,2048,512,128,32,8,2,1388, 3070,7894,9298,4042,3718,7468,5788,3016,754,838,5572,1600,400,100,574,3040, 760,190, 3248,812,3212,2294,6974,13346,60938,23408,5852,14066,12482,4484,1604,11888,2972,3896, 974,3464,866,1658,1178,998,1952,488,122,602,782,3302, 1420,1174,3802,14560,3640,910,898,3526,1966,1294,1042,1978,4252,1354, 10816,2704,676,1582,1150,988,742,1444,1798,1480,370,1600,400,100, 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5644,1618,4024,1006,4240,1060,3106,6460,1888,472,118,604,40564,12808,3202,48088, 12022,5068,1510,1126,982,928,232,58,1432,358,694,820,1630,1438,1384,346, 1594,2296,574,2572,1042,3538, 1862,2882,2828,14066,9314,11384,2846,1628,866,3206,8144,2036,14552,3638,5912,1478, 43136,10784,2696,674,12230,10124,6722,4448,1112,278,2150,1586,2294,10574,4526,2258, 2672,668,686,818, 61666,23686,140668,40966,43288,10822,7618,3418,5776,1444,832,208,52,2572,6358, 15586,6406,20356,4378,15766,24514,9754,35692,31522,12382,8368,2092,5884,3058,1708,4792, 1198,14146,5866,2632,658,808,202,3442,1852,1924,922,6856,1714,1204,3994,9772,10744, 2686,2914,1654,339442,127852,97132,75262,43738,483604,60244,9454,5602,2662,4912,1228,3184, 796,38932,5404,11704,2926,2848,712,178,628, 602,788,710,1916,20624,5156,1844,908,1808,452,6206,8288,2072,518,3470,8960, 2240,560,140,1646,50174,34316,41036,15092,3392,848,212,7502,26402,42578,29012,6002, 2672,668,8882,3482,1868,3578,1904,476,12362,5198,13946,5792,1448,362,698,824, 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346,664,166,1042,2008,502,6634,9064,2266,7954,5896,1474,5878,21778,13672,3418, 6028,2032,508,2098,2602,4894,2404,10924,4366,2206,1396,11896,2974,1684,3412,3814, 2068,3574,2518,3124,6598,2746,15298,10522,17938,11512,2878,1648,412,646,1798,20368, 5092,2854,6226,4924,1492, 584,146,4814,7724,2018,24254,19016,4754,10646,4562,8372,3404,1208,302,1082, 42668,8570,8450,9836,2414,1676,884,8864,2216,554,1736,434,13076,5102,2432,608, 152,38,1214,4436,2672,668,1388,830,9782,4238,11726,5264,1316,5462,2618,6266,6992, 1748,1916,4274,18578,28142,8912,2228,2108,2510,2036,3062,1718,453842,490616,122654,53810, 559826,145502,373202,358292,102194,454850,386486,342692,424952,106238,241982,161954,105086,333002,188738,883226, 714530,341642,193598,95204,73982,566702,160382,179522,154178,132794,169598,182654,179450,356786,1027844,436328, 109082,2629856,657464,164366,211598, -18050,-444008,-111002,-67214,-17906,-95546,826,880,220,10660,4174,9916,6892,3364,13900,48940, 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4540,4888,1222,1030,958,1270,1048,262,670,4306,8572,2206,20398,10678,4576,1144, 286,1624,406,724,7156,3442,5620,3010,22144,5536,1384,346,10966,4684,1450,3538, 6454,2992,748,712,178,2866,5134,1714,4162,19444,6898,8536,2134,1372,2362,2758, 1606,1174,1012,3772,1720,430,2254,4402,6430,7456,1864,466, 1514,3998,2072,518,1148,788,22970,90020,26750,10604,6284,1886,1280,320,80,20, 4502,6536,1634,2336,584,146,830,884,21512,5378,6446,2990,1694,1208,302,686, 2810,8210,6050,3722,8096,2024,506,5294,2558,1532,860,734,848,212,14528,3632, 908,1130,3674,2234,9848,2462,1496,374,578,96176,24044,7148,3584,896,224,56, 14,1748,3458,4496,1124,662,4106,8390,3362,4880,1220,1904,476,3188,5576, 1394,2216,554,6770,5240,1310,1064,266,4208,1052,770,3530,4604,1436,842,3146,1616, 404,7346,5564, 2512,628,3490,1882,2872,718,3628,30898,12160,3040,760,190,1540,862,1918,1024, 256,64,16,4,574,1756,3274,1924,934,6190,8836,2230,7480,1870,2374,4726, 13402,7732,13150,8830,6400,1600,400,100,592,148, 4796,4970,2438,14678,9692,57698,54236,45296,11324,8414,15488,3872,968,242,3500,2420, 1028,4022,3698,2108,12986,5444,3230,4664,1166,15254,10016,2504,626,1460,848,212, 614,1910,2510,12338,6470,5024,1256,314,692,704,176,44,1448,362,710, 638,3266,264572,114344,28586,11294,35630,49760,12440,3110,11954,6968,1742,10880,2720,680,170, 2752,688,172,1030,2518,1714,4138,43726,16972,9070,3976,994,1996,7072,1768,442, 2902,1822,1258,6262,2650,4966,39310,15316,14362,14848,3712,928,232,58,3820,1732, 1924,1978,3874,3616,904,226,1564,868,3328,832,208,52,94504,23626,52432,13108, 8260,3760,940,1138,6514,11338,29104,7276,6154,343060,2856208,714052,202264,50566,23416,5854, 2770, 9788,2384,596,3158,1760,440,110,3776,944,236,620,692,1634,6746,5234,5030, 2462,1700,3452,2762,12254,4454,2246,1418,3956,2552,638,1466,2264,566,788,3308, 1196,800,200,50,2276,3086,5252,12578,19034,12146,20138,10652,4334,21002,19832,4958, 2402,7718,3470,4820,2672,668,2228,2066,4478, 652,1624,406,1828,4288,1072,268,1516,3232,808,202,1462,6556,170608,42652,34402, 10684,14314,5944,1486,9472,2368,592,148,604,2992,748,3298,1936,484,10228,2494, 12334,13144,3286,4864,1216,304,76,6016,1504,376,94,3358,8932,3556,7528,1882,1282, 3244,2332,10912,2728,682,832,208,52,586,796,2548,1054,1522,11902,45868, 11332,2602,1552,388,6538,3028,1144,286,5044,1138,4924,7798,7996,9742,8794,3874, 2098,2974,8446,54616,13654,32098,10036,2458,1498,12856,3214,10606,11686,8014,53644,16528, 4132,6322,4756,1468,13522,18976,4744,1186,1342, 14132,15476,10496,2624,656,164,608,152,38,2774,6728,1682,1208,302,264566,1642604, 2646722,993098,316802,119378,45344,11336,2834,1640,410,10388,6194,2900,1418,1634,1190,3746, 1982,2558,2882,1658,2792,698,6770,3116,6662,178724,34088,8522,5276,4736,1184,296, 74, 2746,3364,11314,29098,17812,6454,2998,1702,1216,304,76,592,148,1486, 3052,1150,4498,8368,2092,970,1990,1324,826,3592,898,3502,1996,952,238,1078, 982,946,5308,3214,2014,2944,736,184,46,1024,256,64,16,4, 4904,1226,6254,2924,1424,356,2072,518,17534,7154,4682,10628,4436,432062,162602,316322, 179378,44516,11054,4724,4742,18692,6704,1676,4256,1064,266,4358,10304,2576,644,1628, 884,3122,12248,3062,1874,21266,16532,15164,3422,1862, 724,3958,13030,97756,28942,17728,4432,1108,31606,52396,24856,6214,14494,7780,2038,6478, 5092,1534,4048,1012,1156,796,1672,418,736,184,46,1474,1132,2830,3040,760, 190,16684,9790,14488,3622,71608,17902,11518,10366,12958,7132,3454,6106,7360,1840,460, 19618,7936,1984,496,124,5254,11356,4642,2320,580,688,172,2824,706,844,8440, 2110,7198,4702,3316,1480,370,718,1852,2056,514,772,916,8908,19120,4780,4768, 1192,298,12262,107098,42520,10630,18160,4540,4612,1444,850,898, 5054,21506,7064,1766,2444,2138,1382,2228,998,2012,3284,1196,3176,794,878, 584,146,2204,3686,3524,5306,2570,1544,386,1124,5120,1280,320,80,20,1274,1058, 1754,1238,3866,2030,3932,15890,17618,9536,2384,596,692,710,1850,3254,2726,2984, 746,860,29822,42458,16502,8630,4562,4028,41486,37760,9440,2360,590,12326,8384, 2096,524,1598,4184,1046,5228,4568,1142,2150,2660,3590,3470,5684,1646,5216,1304, 326,1634,3110,3200,800,200,50,12032,3008,752,188,2786,5792,1448,362,716,1652, 890,914,108554,41288,10322,6458,3002,1706,1220,10382,11516,12002,10166,5048,1262,3446, 3122,29336,7334,5576,1394,11840,2960,740,8078,9572,6764,10466,7658,3452,9212,10544, 2636,2192,548, 892,748,2278,3316,49072,12268,10678,6610,5170,4360,1090,3412,4198,6466,9526,6124, 27202,78232,19558,13756,3160,790,26176,6544,1636,1912,478,760,190,652,1108,3226, 10918,3646,1948,946,1984,496,124,604,694,2398,1480,370,1660,4990,2452,4870, 2386,2794,5116,1540,9490,6790,2926,1678,1210,6250,8032,2008,502,16456,4114,3766, 3694,1966,1318,5494,3898,9652,39298,32464,8116,41536,10384,2596,2182,1630,1192,298, 3010, 4478,3998,5288,1322,2198,1406,2702,1778,47732,9266,16454,6752,1688,422,740,1244, 18884,10730,7490,7394,9002,6518,3026,48044,9590,4178,18572,4064,1016,254,2216,554, 1766,1658,2372,3764,7004,2084,9650,16940,3758,2138,15986,23168,5792,1448,362, 9392,2348,1022,2540,1058,3656,914,10046,5342,11270,4808,1202,6248,1562,87098,67592,16898, 16034,16292,139196,41666,2468000,617000,154250,88220,13424,3356,1490,87410,3830,2018,4466,8366, 3110,1748,1946,4322,6410,5060,4898,6896,1724,11108,11756,2786,5114,5546,4574,47414, 18362,7646,25472,6368,1592,398,1130,2090,2630,1568,392,98,2846, 8848,2212,1330,3286,3304,826,892,3142,6784,1696,424,106,622,5518,18154, 7390,6082,6280,1570,2662,2680,670,6064,1516,1882,1288,322,3952,988,5356,2962, 1852,5446,28960,7240,1810,1528,382,3088,772,2926,8434,8488,2122,1378,2692,4600,1150, 3736,934,2068,970,946,1546,1162,1018,964,2314,1450,1126,2194,1636,17110,11080, 2770,1798,42832,10708,2590,14164,3238,3040,760,190,730,856,214,1576,394, 2152,538,784,196,1114,1000,250,676,1060,1168,292,1204,808,202,658,610,2368, 592,148,1384,346,712,178,1600,400,100,664,166,1744,436,1042,1312,328, 82,1690,1216,304,76, 1280,320,80,20,3404,4898,2420,1604,884,1442,1124,794,1244,1808,452,668, 1646,2384,596,2240,560,140,12320,3080,770,872,218,1082,1766,6974,17126,26414, 16316,14210,5912,1478,194678,167030,143702,318662,1379924,293192,73298,28070,30782,17954,7316,27620, 5762,2744,686,1844, 5092,103864,25966,30868,12868,12886,5416,1354,3958,2068,13264,3316,2392,598,808,202, 5314,37114,22336,5584,1396,1852,1282,10132,5596,25132,5296,1324,832,208,52,1474, 87406,89188,23746,90742,34612,11194,7756,2038,1348,7096,1774,51376,12844,2992,748,724, 5578,4036,35404,7222,3292,6388,3256,814,15244,3442,7846,3526,1906,17638,7198,3046, 1726,1714,3748,4354,15964,1552,388,37444,28438,11248,2812,5164, 2372,7988,9806,4262,2222,1418,3974,28412,5912,1478,1664,416,104,26,4784,1196, 2138,16232,4058,8000,2000,500,8186,23252,12740,96152,24038,7784,1946,7214,3290,6038, 7838,3524,14450,9590,12524,6380,4922,26168,6542,3038,1724,908,1448,362,11240,2810, 13046,12020,108266,71180,13874,9266,6674,5216,1304,326,8348,2150,1628,890,12038,6422, 205502,77648,19412,8810,5660,1646,1202,1886,1292,3554,8618,10160,2540,4568,1142,3950, 2066,2624,656,164,1508, 2812,2254,11668,2584,646,7006,5404,10912,2728,682,1216,304,76,7696,1924,946, 940,5350,7294,5566,4594,2308,1018,31306,5500,3010,1714,1228,3298,1822,2488,622, 2044,2038,10198,17662,11398,51922,20056,5014,11488,2872,718,4378,6538,4684,4756,3550, 3460,1234,1048,262,2836,3064,766,1894,3970,2074,5080,1270,8182,42016,10504, 2626,1570,1174,5266,2560,640,160,40,10,5062,47062,64318,37642,116536,29134,75496,18874, 10084,2476,6322,2956,23008,5752,1438,2272,568,142, 662,1838,43376,10844,74684,34292,7016,1754,1244,8912,2228,1004,1748,914,2768,692, 716,3092,1166,13358,50222,155198,100886,58214,357968,89492,17366,11234,10868,2624,656,164, 1616,404,8696,2174,6662,4496,1124,1184,296,74,614,1292,1958,9032,2258,1832, 458,758,1892,3578,1928,482,9668,12422,6926,8636,6428,112916,21758,288572,124526,244136, 61034,23474,7628,5528,1382, 7048,1762,2458,10990,4708,2680,670,838,5110,2464,616,154,9700,33454,13132, 6976,1744,436,2698,8182,3328,832,208,52,83086,31744,7936,1984,496,124,610,1810, 3646,1954,2566,6244,3004,1150,1018,3700,4348,1402,3970,3898,6076,1726,1234,7588, 5518,2656,664,166,24706,15364,5788,1672,418,1702,2590,1558,2116,2062,1360,340, 9232,2308,1060,8026,7756,5302,2518,1888,472,118,2536,634,3322,5590,5128,1282, 2188,1684,16336,4084,4510,2278,3088,772,682,21790,8758,3490,3430,3574,2032,508, 7264,1816,454,10612,3652,2494,1522,5812,4516,4546,4024,1006,964,1738,1546,6724, 3358,1846,1492,9154,6616,1654,5356,1780,3538,3844,2548,3862,3814,3736,934,5326, 2584,646,4186,5806,2764,2710,3886,2044,970,2428,1042,9964,1978,4456,1114,3382, 1186,2134,1942,13750,4894,2422,1708,3196,3058,4816,1204,4156,1366,1612,10936,2734, 4030,2098,2572, 1502,1676,902,926,10070,4364,1406,1424,356,2942,1856,464,116,1136,284,6398, 2828,1118,1784,446,1154,6236,3446,1880,470,764,1298,14120,3530,2972,4724,2798, 2756,6860,1874,139886,105974,40328,10082,20756,6068,3176,794,1916,2126,14732,3350,1844, 1988,9638,4202,9260,2324,2180,5204,53000,13250,45512,11378,12392,3098,3212,1190,1034, 3604,1264,316,19600,4900,3166,13768,3442,5062,4318,19420,26134,422008,105502,312658,152260, 29788,9670,6910,10732,5920,1480,370,6964,1894,2536,634,826,898,1282,1390,11704, 2926,56092,26458,10510,11662,12634,5326,7288,1822,13648,3412,1228,1816,454,1726,844, 1708,9718,19438,50056,12514,4000,1000,250,682,1732,5398,5494,16576,4144,1036,1762, 20074,8116,2110,7450,3382,3118,3082,1744,436,670,4414,10366,39256,9814,266326,328486, 186244,27220,5692,15052,5704,1426,2734, 20696,5174,11336,2834,1652,4316,4496,1124,800,200,50,608,152,38,4658,2336, 584,146,644,710,3398,5666,2714,3050,2006,26162,10400,2600,650,1214,2156,6152, 1538,1166,2186,1646,4172,6602,2888,722,860,8582,10040,2510,2654,2966,64580,12698, 5246,4424,1106,1004,7574,264542,150278,129596,37922,14810,8384,2096,524,3020,3644,2498, 1526,9032,2258,1436,5360,1340,1850,4964,1520,380,1580,17780,225176,56294,38312,9578, 7412,6542,4454,12092,4874,2402,1490,1148,1796,926,1994,1592,398,1862,4370,2228, 2606,23432,5858,2786,1634,1202,1040,260,638,1832,458,1160,290,698,33758,20462, 19562,4706,2354,1472,368,92, 4744,1186,3802,1516,874,1966,5476,16258,10324,4378,12100,7906,9472,2368,592,148, 2074,7258,7726,5080,1270,1066,2974,11278,4204,1378,3964,1570,4126,35914,21676,4654, 4108,1360,340,2386,9820,5230,2440,610,3316,2602,2938,13036,3034,4384,1096,274, 7888,1972,1828,34906,25222,10048,2512,628,40792,10198,4414,4000,1000,250,16960,4240, 1060,4150,2146,4612,4342,2218,2722,5098,2290,7690,5800,1450,12064,3016,754,5746, 6934,3190,1786,5608,1402,1306,10954,7636,3622,1948,6904,1726,2866,3946,3694,2596, 15952,3988,1954,4450,6556,2650,4810,4180,3412,2434,4324,7528,1882,5962,4828,3286, 1822,8014,3772,4990,3784,946,8212,9670,4216,1054,4936,1234,10120,2530,6268,3460, 4972,1522,6718,8230,3676,3502,5788,1846,1282,3124,6772,11632,2908,7408,1852,4582, 2308, 2786,3044,5648,1412,1874,15626,56774,46838,11246,4808,1202,4682,13100,2876,1130,6230, 7868,2066,2570,12056,3014,10670,4592,1148,806,31358,12350,5222,11252,9974,3470,1892, 7472,1868,4394,24968,6242,4988,1526,1688,422,4070,45014,13694,5726,2738,4244,7682, 5798, 1648,412,1594,7576,1894,5992,1498,1456,364,2962,1702,6958,5392,1348,844,5338, 2536,634,3592,898,928,232,58,4582,15742,8452,2176,544,136,34,604,3754, 7858,3538,1918,2446,2854,8416,2104,526,1774,2476,3202,1792,448,112,28,1486, 2314,6964,2014,6334,4372,64312,16078,10522,3994,2158,2692,1096,274,694,3394,1864, 466,766, 5906,7550,264536,66134,34784,8696,2174,28340,11006,19784,4946,83852,25064,6266,2942,725264, 181316,26534,16406,8624,2156,29384,7346,5246,41462,21746,14642,8324,16190,38546,25310,28226, 27530,10916,11492,13220,29798,18242,7166,32714,12860,12950,82658,24284,13058,4124,15158,19700, 4286,53738,20744,5186,15650,5438,18134,28250,11186,6866,11054,12140,26396,11414,6518,31364, 9596,53012,10532,30170,11906, 15946,16270,6694,2920,730,5740,5632,1408,352,88,22,2158,1402,87388,16978,11032, 2758,4342,10438,9520,2380,1372,850,1960,490,55636,20308,9130,8482,20644,7288,1822, 1276,832,208,52,9286,4180,16744,4186,10114,4396,3076,5188,29068,11464,2866,3094, 3454,1888,472,118, 926,4298,3902,10616,2654,3272,818,368972,69776,17444,9962,7088,1772,12878,6728,1682, 22424,5606,2696,674,12074,8276,3812,31688,7922,34898,48992,12248,3062,1742, 1846,2524,45184,11296,2824,706,2452,1054,3712,928,232,58,616,154,652,838, 2062,7438,14242,12838,1327414,748156,516748,110710,63760,15940,7246,26446,44572,33034,12982,8788, 2242,3100,6790,4024,1006,15214,245290,92578,62410,23998,48460,18490,7528,1882,1300,2308, 7168,1792,448,112,28,4846,20206,47110,39244,15574,10246,13000,3250,1954,5062,3844, 2818,8464,2116,10408,2602,1570,9256,2314,1462,3682,54580,10828,85816,21454,24580,9742, 17158,26590,25258,10066,12010,5098,2506,1534,47992,11998,12946,3106,133510,1011028,190162,62824, 15706,6484,1810,1756, 4304,1076,1490,1154,1028,788,2324,2648,662,3386,1994,4862,65768,16442,5666,2720, 680,170,10352,2588,2216,554,47396,9482,6158,4952,1238,3872,968,242,686,1874, 1298,1082,1346,1100,8894,382628,72338,27722,8834,3908,1328,332,11666,4970,5828,1688, 422,17426,7130,4916,3620,1274,1400,350,9542,13280,3320,830,7934,10694,51338,23816, 5954,2828,6626,3080,770,884,1166,2144,536,134,5006,771428,145238,125372,16880,4220, 28010,55334,112898,42932,9452,36446,24788,17492, 3844,9538,16912,4228,7516,14320,3580,1546,4150,2152,538,1792,448,112,28,640, 160,40,10,5338,4492,1438,9052,5146,4384,1096,274,5002,8218,6112,1528,382, 1150,1366,1108,8092,12952,3238,1810,7552,1888,472,118,1450,8602,6328,1582,2716, 12052,3436,1240,310,712,178,2980,5608,1402,2278,1216,304,76,610,21772,4678,2350, 2626,8164,6274,15868,3274,3094,1756,2530,24334,19234,33874,24154,15076,9190,4042,3418, 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1654,218662,243226,208180,90784,22696,5674,15328,3832,958,982,1366,1474,2386,7678,3502, 1936,484,4984,1246,1090,2170,17182,7066,8920,2230,9406,4150,4096,1024,256,64, 16,4,1558,1528,382,766,79930,53422,20656,5164,1816,454,4312,1078,3124,4276, 4762,6976,1744,436,3142,3310,1864,466,3934,2098,4636,1492,6004,30580,55738,44434, 20536,5134,2548,6094,2908,1168,292,1852,970,10054,3340,2962,3040,760,190,694, 20260,6064,1516,1600,400,100, 3032,758,908,794,2006,1376,344,86,656,164,632,158,1136,284,5168,1292, 866,6164,5264,1316,3518,8246,3716,22796,4898,9074,8588,2234,2816,704,176,44, 1682,4382,2324,18116,16532,166058,124208,31052,6446,19772,3872,968,242,6482,8432, 2108,1388,884,1808,452,5354,4052,2648,662,872,218,3968,992,248,62,7568,1892, 14588,17504,4376,1094,1034,2564,43334,16874,8912,2228,2186,21338,13562,9188,6788,18062, 18362,11888,2972,2888,722,3572,1496,374,764,1766,1286,1106,3896,974,2672, 668,2402,8108,2144,536,134,674,23654,9494,4184,1046,1016,254,43586,68852,20924,4034, 15884,3602,6002,6644,3428,8426,5348,4538,4112,1028,14426,9674,21548,4664,1166,2654, 1838,10532,7406,8702,3278,3644,1604,5186,62054,23894,9584,2396,7784,1946,719612,58628, 218546,272114,131906,1116296,279074,152588,29234,32642,161066,40322,192302,661292,124616,31154,914012,523748, 127046,48266,494108,138788,61514,268598,101348,140786,141236,41282,235304,58826,2690576,672644,646712,161678, 311372,59006,294362,167138,216602,123398,46898,1234844,262736,65684,139466,137978,79172,183386,104714,69578, 195938,253052,319796,91502,139076, 8410,3778,3334,3436,21616,5404,4558,17890,6124,5254,4516,32650,12868,2902,4342,6064, 1516,3796,1336,334,1228,1906,7198,14182,9538,39874,15406,15964,9700,3856,964,3580, 18070,9418,4156,7702,5044,1570,1534,13630,34108,26656,6664,1666}; unsigned char cflag[2325+2676+2409+2643+2952+1]={ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4, 4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4, 4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2, 2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3, 3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4, 4,4,4,5,5,5,5,5,6,6,6,7,7,7,7,7,0,0,0,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1, 1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3, 3,3,3,3,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4, 4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1, 1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4, 4,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,7,7,7,7, 7,7,7,8,8,8,8,8,8,8,8,9,9,9,9,9,10,10,10,10,10, 10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,13,13,13,13, 13,13,13,14,14,14,14,14,15,15,15,15,15,15,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,3,3,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3, 3,3,3,3,3,3,3,4,4,4,4,4,0,0,0,0,0,0,0,0,0, 0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3, 3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,5,5,5, 5,5,5,5,5,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7, 7,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,3,3,3,3,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0, 0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3, 3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2, 2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5,5, 5,5,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7, 7,7,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9, 9,10,10,10,10,10,10,10,11,11,11,11,11,11,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3, 3,3,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,0,0,0,0,0,1,1,2,2,2,3,3,3,3, 4,4,4,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,8,8,8, 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9, 9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10, 10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10, 10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,11,11,11,11, 11,11,11,11,11,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12,12, 12,12,12,12,12,12,12,12,12,12,12,12,12,12,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1, 1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3, 3,3,3,3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5, 5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7, 7,7,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2, 2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5, 5,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,8,8,8,8, 8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9, 9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,11,11,11, 11,11,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2, 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5, 5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2, 2,2,2,2,2,2,2,2,2, 0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3, 3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,5,5,5,5, 5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7, 7,7,7,7,7,7,7,7,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3, 3,3,3,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,1,1, 1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3, 3,3,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2, 2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1, 1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5, 5,5,5,5,5,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7, 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3, 3,3,3,3,3,3,3,3,4,4,4,4,5,5,5,5,5,5,5,5,5, 5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7, 7,7,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,10,10,10,10, 10,11,11,11,11,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,3,3,3,3,3,0,0,1,2,3,4,4, 5,5,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, 7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8, 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9, 9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9, 9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,10,10,10,10,10, 10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10, 10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,4,4,4,4,5,5,5,5,6,6,6,6,7,7, 7,8,8,8,9,9,9,9,9,9,9,9,9,10,10,10,10,11,11,11,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2, 2,3,3,3,3,3,3,4,4,4,4,5,5,5,5,6,6,6,6,6,6, 7,7,7,7,7,8,8,8,9,9,9,9,10,10,10,10,0,0,0,0,0, 0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3, 3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5, 5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1, 1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3, 3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1, 1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,3,3,3,3,3,4,4,4,4,4,5,5,5,5,5,5,5,5,5,6, 6,6,6,7,7,7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,9, 10,10,10,10,11,11,11,11,12,12,12,12,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0, 0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3, 3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5, 5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4, 4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5, 5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6, 6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3, 3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4, 4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5, 5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,5, 5,5,6,6,6,6,7,7,7,7,8,8,8,8,9,9,9,10,10,10,10, 11,11,11,11,12,12,12,12,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3, 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5, 5,5,5,6,6,6,6,6,6,6,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0, 0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2, 2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4, 4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2, 2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3, 3,3,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4, 4,4,4,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,7,7,8, 8,8,8,8,8,9,9,9,9,9,9,9,9,10,10,10,10,11,11,11,12, 12,12,12,12,12,12,13,13,13,13,13,13,13,13,14,14,14,14,15,15,15, 16,16,16,16,16,16,16,17,17,17,17,18,18,18,18,19,19,19,20,20,20, 21,21,21,22,22,22,22,23,23,23,24,24,24,25,25,25,26,26,26,26,27, 27,27,27,27,27,27,27,28,28,28,29,29,30,30,30,31,31,31,0,0,0, 0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1, 1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3, 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4, 4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5, 5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1, 1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4, 4,4,4,4,4,4,4,5,5,5,5,5,5,6,6,7,7,7,7,7,8, 8,9,9,9,9,9,9,10,10,10,10,10,10,11,11,11,12,12,12,13,13, 13,13,14,14,14,14,15,15,15,15,16,16,16,17,17,18,18,18,18,18,19, 19,19,20,20,21,21,21,22,22,22,23,23,23,24,24,25,25,25,26,26,27, 27,27,28,28,29,29,29,30,30,30,31,31,31,31,32,32,33,33,33,34,34, 35,35,35,35,36,36,37,37,38,38,39,39,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3, 3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,7,7,7,8,8,8, 8,9,9,9,9,10,10,10,11,11,11,12,12,12,13,13,13,14,14,14,15, 15,16,16,17,17,18,18,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2, 2,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3, 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0, 0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1, 1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3, 3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5, 5,5,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0, 1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4, 4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,6,6, 6,6,6,7,7,7,7,7,7,7,8,8,8,8,9,9,9,9,10,10,10, 10,10,11,11,11,11,11,11,11,11,11,12,12,12,12,13,13,13,14,14,14, 15,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,0,1, 1,2,2,3,3,3,3,3,3,3,4,5,5,5,5,5,5,6,6,6,7, 7,8,8,9,10,10,10,10,10,11,11,12,12,13,14,14,15,15,16,17,17, 18,18,19,19,20,20,21,22,22,23,23,24,25,25,26,27,27,28,28,29,29, 30,31,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,33, 33,33,33,33,33,33,33,33,33,33,33,33,33,34,34,34,34,34,34,34,34, 34,34,34,34,34,34,34,34,34,35,35,35,35,35,35,35,35,35,35,35,35, 36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,37,37,37, 37,37,37,37,37,37,37,37,37,37,38,38,38,38,38,38,38,38,38,38,38, 38,38,38,38,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,5,5, 5,5,5,5,5,5,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5, 5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3, 3,3,3,3,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1, 1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,2,2,2,2,2,3,3,3,0,0,0,0,0,0,1,1,1,2,3,4, 4,4,5,6,7,7,8,9,10,11,12,13,13,14,15,16,17,18,18,19,20, 21,22,23,24,25,26,27,28,29,29,29,29,29,29,29,29,29,29,29,29,29, 29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,30,30, 30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30, 30,30,30,30,30,30,30,30,30,30,30,30,30,30,31,31,31,31,31,31,31, 31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31, 31,31,31,31,31,31,31,31,31,31,31,32,32,32,32,32,32,32,32,32,32, 32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32, 32,32,32,32,32,32,32,32,32,32,32,32,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2, 2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,5, 5,5,5,5,6,6,6,6,7,7,7,7,8,8,8,8,9,9,9,10,10, 10,11,11,11,11,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3, 3,3,3,4,4,4,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6, 6,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8, 9,9,9,9,9,9,10,10,10,10,10,10,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2, 2,2,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3, 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4, 4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5, 5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6, 6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8, 9,9,9,9,9,9,9,10,10,10,11,11,11,11,12,12,12,13,13,13,14, 14,14,15,15,16,16,17,17,17,17,17,17,18,18,18,18,18,19,19,19,20, 20,20,21,21,21,22,22,23,23,24,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2, 2,2,2,2,2,2,2,2,2,2,2,2, 255}; int cval[166]={2003,2005,2009,2011,2015,2017,2021,2023,2027,2029,2033,2035, 2039,2041,2045,2047,2051,2053,2057,2059,2063,2065,2069,2071, 2075,2077,2081,2083,2087,2089,2093,2095,2099, 2101,2105,2107,2111,2113,2117,2119,2123,2125,2129,2131,2135, 2137,2141,2143,2147,2149,2153,2155,2159,2161,2165,2167,2171, 2173,2177,2179,2183,2185,2189,2191,2195,2197, 2201,2203,2207,2209,2213,2215,2219,2221,2225,2227,2231,2233, 2237,2239,2243,2245,2249,2251,2255,2257,2261,2263,2267,2269, 2273,2275,2279,2281,2285,2287,2291,2293,2297,2299, 2303,2305,2309,2311,2315,2317,2321,2323,2327,2329,2333,2335, 2339,2341,2345,2347,2351,2353,2357,2359,2363,2365,2369,2371, 2375,2377,2381,2383,2387,2389,2393,2395,2399, 2401,2405,2407,2411,2413,2417,2419,2423,2425,2429,2431,2435, 2437,2441,2443,2447,2449,2453,2455,2459,2461,2465,2467,2471, 2473,2477,2479,2483,2485,2489,2491,2495,2497}; unsigned int size[166]={ 27,71,77,120,60,70,47,43,39,60,91,72,119,74,129,65,85,62,62,92,156,79,76,36,56, 79,67,44,76,93,37,27,34,100,50,74,78,98,110,134,81,25,39,95,95,75,38,21,60,84, 63,122,73,108,76,84,59,55,154,88,91,83,26,142,98,97,92,83,91,70,102,54,43,18, 28,28,121,31,22,38,36,73,59,87,54,135,72,134,69,77,50,117,101,77,117,60,99,42, 64,65,57,105,49,44,42,92,131,81,109,117,52,76,85,90,69,163,64,87,118,145,49, 66,69,52,30,100,88,97,40,50,35,113,78,100,92,43,40,31,95,98,150,189,36,78,65, 138,125,57,84,119,30,128,27,90,192,38,60,126,77,21,112,91,77,102,197,44}; unsigned int conv[27*2]={5,3,6,4,8,5,9,6,11,7,16,10,19,12,24,15,27,17,38,24, 46,29,57,36,65,41,76,48,84,53,130,82,149,94,168,106,233,147,252,159,317,200, 336,212,401,253,420,265,485,306,504,318,569,359}; unsigned int eofact[555*2]={1,1,2,1,1,2,3,2,3,1,1,3,2,3,4,3,4,1,1,4,3,4, 5,4,5,3,5,2,5,1,1,5,2,5,3,5,4,5,6,5,6,1,1,6,5,6, 7,6,7,5,7,4,7,3,7,2,7,1,1,7,2,7,3,7,4,7,5,7,6,7, 8,7,8,5,8,3,8,1,1,8,3,8,5,8,7,8, 9,8,9,7,9,5,9,4,9,2,9,1,1,9,2,9,4,9,5,9,7,9,8,9, 10,9,10,7,10,3,10,1,1,10,3,10,7,10,9,10, 11,10,11,9,11,8,11,7,11,6,11,5,11,4,11,3,11,2,11,1, 1,11,2,11,3,11,4,11,5,11,6,11,7,11,8,11,9,11,10,11, 12,11,12,7,12,5,12,1,1,12,5,12,7,12,11,12, 13,12,13,11,13,10,13,9,13,8,13,7,13,6,13,5,13,4,13,3,13,2,13,1, 1,13,2,13,3,13,4,13,5,13,6,13,7,13,8,13,9,13,10,13,11,13,12,13, 14,13,14,11,14,9,14,5,14,3,14,1,1,14,3,14,5,14,9,14,11,14,13,14, 15,14,15,13,15,11,15,8,15,7,15,4,15,2,15,1,1,15,2,15,4,15,7,15,8,15,11,15,13,15,14,15, 16,15,16,13,16,11,16,9,16,7,16,5,16,3,16,1,1,16,3,16,5,16,7,16,9,16,11,16,13,16,15,16, 17,16,17,15,17,14,17,13,17,12,17,11,17,10,17,9,17,8,17,7, 17,6,17,5,17,4,17,3,17,2,17,1,1,17,2,17,3,17,4,17,5,17, 6,17,7,17,8,17,9,17,10,17,11,17,12,17,13,17,14,17,15,17,16,17, 18,17,18,13,18,11,18,7,18,5,18,1,1,18,5,18,7,18,11,18,13,18,17,18, 19,18,19,17,19,16,19,15,19,14,19,13,19,12,19,11,19,10,19,9,19,8, 19,7,19,6,19,5,19,4,19,3,19,2,19,1,1,19,2,19,3,19,4,19,5,19,6,19, 7,19,8,19,9,19,10,19,11,19,12,19,13,19,14,19,15,19,16,19,17,19,18,19, 20,19,20,17,20,13,20,11,20,9,20,7,20,3,20,1,1,20,3,20,7,20,9,20,11,20,13,20,17,20,19,20, 21,20,21,19,21,17,21,16,21,13,21,11,21,10,21,8,21,5,21,4,21,2,21,1, 1,21,2,21,4,21,5,21,8,21,10,21,11,21,13,21,16,21,17,21,19,21,20,21, 22,21,22,19,22,17,22,15,22,13,22,9,22,7,22,5,22,3,22,1, 1,22,3,22,5,22,7,22,9,22,13,22,15,22,17,22,19,22,21,22, 23,22,23,21,23,20,23,19,23,18,23,17,23,16,23,15,23,14,23,13, 23,12,23,11,23,10,23,9,23,8,23,7,23,6,23,5,23,4,23,3,23,2,23,1, 1,23,2,23,3,23,4,23,5,23,6,23,7,23,8,23,9,23,10,23,11,23,12,23, 13,23,14,23,15,23,16,23,17,23,18,23,19,23,20,23,21,23,22,23, 24,23,24,19,24,17,24,13,24,11,24,7,24,5,24,1,1,24,5,24,7,24,11,24,13,24,17,24,19,24,23,24, 25,24,25,23,25,22,25,21,25,19,25,18,25,17,25,16,25,14,25,13,25,12,25,11, 25,9,25,8,25,7,25,6,25,4,25,3,25,2,25,1,1,25,2,25,3,25,4,25,6,25,7,25,8,25, 9,25,11,25,12,25,13,25,14,25,16,25,17,25,18,25,19,25,21,25,22,25,23,25,24,25, 26,25,26,23,26,21,26,19,26,17,26,15,26,11,26,9,26,7,26,5,26,3,26,1, 1,26,3,26,5,26,7,26,9,26,11,26,15,26,17,26,19,26,21,26,23,26,25,26, 27,26,27,25,27,23,27,22,27,20,27,19,27,17,27,16,27,14,27,13,27,11,27,10,27,8,27,7,27,5,27,4,27,2,27,1, 1,27,2,27,4,27,5,27,7,27,8,27,10,27,11,27,13,27,14,27,16,27,17,27,19,27,20,27,22,27,23,27,25,27,26,27, 28,27,28,25,28,23,28,19,28,17,28,15,28,13,28,11,28,9,28,5,28,3,28,1, 1,28,3,28,5,28,9,28,11,28,13,28,15,28,17,28,19,28,23,28,25,28,27,28, 29,28,29,27,29,26,29,25,29,24,29,23,29,22,29,21,29,20,29,19,29,18,29,17, 29,16,29,15,29,14,29,13,29,12,29,11,29,10,29,9,29,8,29,7,29,6,29,5,29,4,29,3,29,2,29,1, 1,29,2,29,3,29,4,29,5,29,6,29,7,29,8,29,9,29,10,29,11,29,12,29,13,29,14,29, 15,29,16,29,17,29,18,29,19,29,20,29,21,29,22,29,23,29,24,29,25,29,26,29,27,29,28,29, 30,29,30,23,30,19,30,17,30,13,30,11,30,7,30,1, 1,30,7,30,11,30,13,30,17,30,19,30,23,30,29,30}; unsigned int eocount=555; unsigned int ln[5000]={ 0x00030002, 0x00050003, 0x00080005, 0x000B0007, 0x000D0008, 0x0010000A, 0x0013000C, 0x0015000D, 0x0018000F, 0x001B0011, 0x001E0013, 0x00200014, 0x00230016, 0x00260018, 0x00280019, 0x002B001B, 0x002E001D, 0x0031001F, 0x00330020, 0x00360022, 0x00390024, 0x003B0025, 0x003E0027, 0x00410029, 0x0044002B, 0x0046002C, 0x0049002E, 0x004C0030, 0x004E0031, 0x00510033, 0x00540035, 0x00560036, 0x00590038, 0x005C003A, 0x005F003C, 0x0061003D, 0x0064003F, 0x00670041, 0x00690042, 0x006C0044, 0x006F0046, 0x00720048, 0x00740049, 0x0077004B, 0x007A004D, 0x007C004E, 0x007F0050, 0x00820052, 0x00850054, 0x00870055, 0x008A0057, 0x008D0059, 0x008F005A, 0x0092005C, 0x0095005E, 0x00980060, 0x009A0061, 0x009D0063, 0x00A00065, 0x00A20066, 0x00A50068, 0x00A8006A, 0x00AA006B, 0x00AD006D, 0x00B0006F, 0x00B30071, 0x00B50072, 0x00B80074, 0x00BB0076, 0x00BD0077, 0x00C00079, 0x00C3007B, 0x00C6007D, 0x00C8007E, 0x00CB0080, 0x00CE0082, 0x00D00083, 0x00D30085, 0x00D60087, 0x00D90089, 0x00DB008A, 0x00DE008C, 0x00E1008E, 0x00E3008F, 0x00E60091, 0x00E90093, 0x00EC0095, 0x00EE0096, 0x00F10098, 0x00F4009A, 0x00F6009B, 0x00F9009D, 0x00FC009F, 0x00FE00A0, 0x010100A2, 0x010400A4, 0x010700A6, 0x010900A7, 0x010C00A9, 0x010F00AB, 0x011100AC, 0x011400AE, 0x011700B0, 0x011A00B2, 0x011C00B3, 0x011F00B5, 0x012200B7, 0x012400B8, 0x012700BA, 0x012A00BC, 0x012D00BE, 0x012F00BF, 0x013200C1, 0x013500C3, 0x013700C4, 0x013A00C6, 0x013D00C8, 0x014000CA, 0x014200CB, 0x014500CD, 0x014800CF, 0x014A00D0, 0x014D00D2, 0x015000D4, 0x015200D5, 0x015500D7, 0x015800D9, 0x015B00DB, 0x015D00DC, 0x016000DE, 0x016300E0, 0x016500E1, 0x016800E3, 0x016B00E5, 0x016E00E7, 0x017000E8, 0x017300EA, 0x017600EC, 0x017800ED, 0x017B00EF, 0x017E00F1, 0x018100F3, 0x018300F4, 0x018600F6, 0x018900F8, 0x018B00F9, 0x018E00FB, 0x019100FD, 0x019400FF, 0x01960100, 0x01990102, 0x019C0104, 0x019E0105, 0x01A10107, 0x01A40109, 0x01A6010A, 0x01A9010C, 0x01AC010E, 0x01AF0110, 0x01B10111, 0x01B40113, 0x01B70115, 0x01B90116, 0x01BC0118, 0x01BF011A, 0x01C2011C, 0x01C4011D, 0x01C7011F, 0x01CA0121, 0x01CC0122, 0x01CF0124, 0x01D20126, 0x01D50128, 0x01D70129, 0x01DA012B, 0x01DD012D, 0x01DF012E, 0x01E20130, 0x01E50132, 0x01E80134, 0x01EA0135, 0x01ED0137, 0x01F00139, 0x01F2013A, 0x01F5013C, 0x01F8013E, 0x01FA013F, 0x01FD0141, 0x02000143, 0x02030145, 0x02050146, 0x02080148, 0x020B014A, 0x020D014B, 0x0210014D, 0x0213014F, 0x02160151, 0x02180152, 0x021B0154, 0x021E0156, 0x02200157, 0x02230159, 0x0226015B, 0x0229015D, 0x022B015E, 0x022E0160, 0x02310162, 0x02330163, 0x02360165, 0x02390167, 0x023B0168, 0x023E016A, 0x0241016C, 0x0244016E, 0x0246016F, 0x02490171, 0x024C0173, 0x024E0174, 0x02510176, 0x02540178, 0x0257017A, 0x0259017B, 0x025C017D, 0x025F017F, 0x02610180, 0x02640182, 0x02670184, 0x026A0186, 0x026C0187, 0x026F0189, 0x0272018B, 0x0274018C, 0x0277018E, 0x027A0190, 0x027D0192, 0x027F0193, 0x02820195, 0x02850197, 0x02870198, 0x028A019A, 0x028D019C, 0x028F019D, 0x0292019F, 0x029501A1, 0x029801A3, 0x029A01A4, 0x029D01A6, 0x02A001A8, 0x02A201A9, 0x02A501AB, 0x02A801AD, 0x02AB01AF, 0x02AD01B0, 0x02B001B2, 0x02B301B4, 0x02B501B5, 0x02B801B7, 0x02BB01B9, 0x02BE01BB, 0x02C001BC, 0x02C301BE, 0x02C601C0, 0x02C801C1, 0x02CB01C3, 0x02CE01C5, 0x02D101C7, 0x02D301C8, 0x02D601CA, 0x02D901CC, 0x02DB01CD, 0x02DE01CF, 0x02E101D1, 0x02E301D2, 0x02E601D4, 0x02E901D6, 0x02EC01D8, 0x02EE01D9, 0x02F101DB, 0x02F401DD, 0x02F601DE, 0x02F901E0, 0x02FC01E2, 0x02FF01E4, 0x030101E5, 0x030401E7, 0x030701E9, 0x030901EA, 0x030C01EC, 0x030F01EE, 0x031201F0, 0x031401F1, 0x031701F3, 0x031A01F5, 0x031C01F6, 0x031F01F8, 0x032201FA, 0x032501FC, 0x032701FD, 0x032A01FF, 0x032D0201, 0x032F0202, 0x03320204, 0x03350206, 0x03370207, 0x033A0209, 0x033D020B, 0x0340020D, 0x0342020E, 0x03450210, 0x03480212, 0x034A0213, 0x034D0215, 0x03500217, 0x03530219, 0x0355021A, 0x0358021C, 0x035B021E, 0x035D021F, 0x03600221, 0x03630223, 0x03660225, 0x03680226, 0x036B0228, 0x036E022A, 0x0370022B, 0x0373022D, 0x0376022F, 0x03790231, 0x037B0232, 0x037E0234, 0x03810236, 0x03830237, 0x03860239, 0x0389023B, 0x038B023C, 0x038E023E, 0x03910240, 0x03940242, 0x03960243, 0x03990245, 0x039C0247, 0x039E0248, 0x03A1024A, 0x03A4024C, 0x03A7024E, 0x03A9024F, 0x03AC0251, 0x03AF0253, 0x03B10254, 0x03B40256, 0x03B70258, 0x03BA025A, 0x03BC025B, 0x03BF025D, 0x03C2025F, 0x03C40260, 0x03C70262, 0x03CA0264, 0x03CD0266, 0x03CF0267, 0x03D20269, 0x03D5026B, 0x03D7026C, 0x03DA026E, 0x03DD0270, 0x03DF0271, 0x03E20273, 0x03E50275, 0x03E80277, 0x03EA0278, 0x03ED027A, 0x03F0027C, 0x03F2027D, 0x03F5027F, 0x03F80281, 0x03FB0283, 0x03FD0284, 0x04000286, 0x04030288, 0x04050289, 0x0408028B, 0x040B028D, 0x040E028F, 0x04100290, 0x04130292, 0x04160294, 0x04180295, 0x041B0297, 0x041E0299, 0x0420029A, 0x0423029C, 0x0426029E, 0x042902A0, 0x042B02A1, 0x042E02A3, 0x043102A5, 0x043302A6, 0x043602A8, 0x043902AA, 0x043C02AC, 0x043E02AD, 0x044102AF, 0x044402B1, 0x044602B2, 0x044902B4, 0x044C02B6, 0x044F02B8, 0x045102B9, 0x045402BB, 0x045702BD, 0x045902BE, 0x045C02C0, 0x045F02C2, 0x046202C4, 0x046402C5, 0x046702C7, 0x046A02C9, 0x046C02CA, 0x046F02CC, 0x047202CE, 0x047402CF, 0x047702D1, 0x047A02D3, 0x047D02D5, 0x047F02D6, 0x048202D8, 0x048502DA, 0x048702DB, 0x048A02DD, 0x048D02DF, 0x049002E1, 0x049202E2, 0x049502E4, 0x049802E6, 0x049A02E7, 0x049D02E9, 0x04A002EB, 0x04A302ED, 0x04A502EE, 0x04A802F0, 0x04AB02F2, 0x04AD02F3, 0x04B002F5, 0x04B302F7, 0x04B602F9, 0x04B802FA, 0x04BB02FC, 0x04BE02FE, 0x04C002FF, 0x04C30301, 0x04C60303, 0x04C80304, 0x04CB0306, 0x04CE0308, 0x04D1030A, 0x04D3030B, 0x04D6030D, 0x04D9030F, 0x04DB0310, 0x04DE0312, 0x04E10314, 0x04E40316, 0x04E60317, 0x04E90319, 0x04EC031B, 0x04EE031C, 0x04F1031E, 0x04F40320, 0x04F70322, 0x04F90323, 0x04FC0325, 0x04FF0327, 0x05010328, 0x0504032A, 0x0507032C, 0x050A032E, 0x050C032F, 0x050F0331, 0x05120333, 0x05140334, 0x05170336, 0x051A0338, 0x051C0339, 0x051F033B, 0x0522033D, 0x0525033F, 0x05270340, 0x052A0342, 0x052D0344, 0x052F0345, 0x05320347, 0x05350349, 0x0538034B, 0x053A034C, 0x053D034E, 0x05400350, 0x05420351, 0x05450353, 0x05480355, 0x054B0357, 0x054D0358, 0x0550035A, 0x0553035C, 0x0555035D, 0x0558035F, 0x055B0361, 0x055E0363, 0x05600364, 0x05630366, 0x05660368, 0x05680369, 0x056B036B, 0x056E036D, 0x0570036E, 0x05730370, 0x05760372, 0x05790374, 0x057B0375, 0x057E0377, 0x05810379, 0x0583037A, 0x0586037C, 0x0589037E, 0x058C0380, 0x058E0381, 0x05910383, 0x05940385, 0x05960386, 0x05990388, 0x059C038A, 0x059F038C, 0x05A1038D, 0x05A4038F, 0x05A70391, 0x05A90392, 0x05AC0394, 0x05AF0396, 0x05B20398, 0x05B40399, 0x05B7039B, 0x05BA039D, 0x05BC039E, 0x05BF03A0, 0x05C203A2, 0x05C403A3, 0x05C703A5, 0x05CA03A7, 0x05CD03A9, 0x05CF03AA, 0x05D203AC, 0x05D503AE, 0x05D703AF, 0x05DA03B1, 0x05DD03B3, 0x05E003B5, 0x05E203B6, 0x05E503B8, 0x05E803BA, 0x05EA03BB, 0x05ED03BD, 0x05F003BF, 0x05F303C1, 0x05F503C2, 0x05F803C4, 0x05FB03C6, 0x05FD03C7, 0x060003C9, 0x060303CB, 0x060603CD, 0x060803CE, 0x060B03D0, 0x060E03D2, 0x061003D3, 0x061303D5, 0x061603D7, 0x061803D8, 0x061B03DA, 0x061E03DC, 0x062103DE, 0x062303DF, 0x062603E1, 0x062903E3, 0x062B03E4, 0x062E03E6, 0x063103E8, 0x063403EA, 0x063603EB, 0x063903ED, 0x063C03EF, 0x063E03F0, 0x064103F2, 0x064403F4, 0x064703F6, 0x064903F7, 0x064C03F9, 0x064F03FB, 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0x331F2041, 0x33212042, 0x33242044, 0x33272046, 0x332A2048, 0x332C2049, 0x332F204B, 0x3332204D, 0x3334204E, 0x33372050, 0x333A2052, 0x333D2054, 0x333F2055, 0x33422057, 0x33452059, 0x3347205A, 0x334A205C, 0x334D205E, 0x33502060, 0x33522061, 0x33552063, 0x33582065, 0x335A2066, 0x335D2068, 0x3360206A, 0x3362206B, 0x3365206D, 0x3368206F, 0x336B2071, 0x336D2072, 0x33702074, 0x33732076, 0x33752077, 0x33782079, 0x337B207B, 0x337E207D, 0x3380207E, 0x33832080, 0x33862082, 0x33882083, 0x338B2085, 0x338E2087, 0x33912089, 0x3393208A, 0x3396208C, 0x3399208E, 0x339B208F, 0x339E2091, 0x33A12093, 0x33A32094, 0x33A62096, 0x33A92098, 0x33AC209A, 0x33AE209B, 0x33B1209D, 0x33B4209F, 0x33B620A0, 0x33B920A2, 0x33BC20A4, 0x33BF20A6, 0x33C120A7, 0x33C420A9, 0x33C720AB, 0x33C920AC, 0x33CC20AE, 0x33CF20B0, 0x33D220B2, 0x33D420B3, 0x33D720B5, 0x33DA20B7, 0x33DC20B8, 0x33DF20BA, 0x33E220BC, 0x33E520BE, 0x33E720BF, 0x33EA20C1, 0x33ED20C3, 0x33EF20C4, 0x33F220C6, 0x33F520C8, 0x33F720C9, 0x33FA20CB, 0x33FD20CD, 0x340020CF, 0x340220D0, 0x340520D2, 0x340820D4, 0x340A20D5, 0x340D20D7, 0x341020D9, 0x341320DB, 0x341520DC, 0x341820DE, 0x341B20E0, 0x341D20E1, 0x342020E3, 0x342320E5, 0x342620E7, 0x342820E8, 0x342B20EA, 0x342E20EC, 0x343020ED, 0x343320EF, 0x343620F1, 0x343920F3, 0x343B20F4, 0x343E20F6, 0x344120F8, 0x344320F9, 0x344620FB, 0x344920FD, 0x344B20FE, 0x344E2100, 0x34512102, 0x34542104, 0x34562105, 0x34592107, 0x345C2109, 0x345E210A, 0x3461210C, 0x3464210E, 0x34672110, 0x34692111, 0x346C2113, 0x346F2115, 0x34712116, 0x34742118, 0x3477211A, 0x347A211C, 0x347C211D, 0x347F211F, 0x34822121, 0x34842122, 0x34872124, 0x348A2126, 0x348D2128, 0x348F2129, 0x3492212B, 0x3495212D, 0x3497212E, 0x349A2130, 0x349D2132, 0x349F2133, 0x34A22135, 0x34A52137, 0x34A82139, 0x34AA213A, 0x34AD213C, 0x34B0213E, 0x34B2213F, 0x34B52141, 0x34B82143, 0x34BB2145, 0x34BD2146, 0x34C02148, 0x34C3214A, 0x34C5214B, 0x34C8214D, 0x34CB214F, 0x34CE2151, 0x34D02152, 0x34D32154, 0x34D62156, 0x34D82157, 0x34DB2159, 0x34DE215B, 0x34E1215D, 0x34E3215E, 0x34E62160, 0x34E92162, 0x34EB2163}; int hflag=0; // selects which c value to histogram k values int hflag1=0; unsigned int indmin=0; // selects (l,m) value unsigned int indmax=7; // Note: Could include different (l,m) values. unsigned int bypass=1; // normally set to 0 unsigned int wflag=1; // normally set to 0 unsigned int infin=0; // normally set to 0 unsigned int ewrite=1; // normally set to 0 unsigned int eowrite=0; // normally set to 0 unsigned int efact,ofact,x,ncyc[20]; int k,max,temp,order,s[500],t,u,savek,oldk,c,olds,cmax,cmin,delta,locmin,locmax; unsigned int g,h,i,m,iters,j,count,first,odds,evens,flag,lodds,levens,jump,jcnt; unsigned int flag0,offset,index,sumtu,total,stu[1000*2],county,countn,countx; unsigned int histo[100],mincnt,hismin[10],savjmp,second,histoj[100],histom[10]; int lastodd,glomax,usave,tmps,cyccnt,mcount,hcount,icount,lcount,oddsum,oldt,oldu; unsigned int jumps[500],mflag,attcnt,savind,newhis[100],oldhis[100],histon[20]; unsigned int histoh[200],histoi[100],histox[100],badcnt,badcntu,primary,jmpcnt,tempi; int glomin,a,badcomp,savet,lastt,evensum,hsum,jsum,compcnt,sum,savec,ksave; unsigned int firstt,savjump,savcnt,tmpcnt,twojmp,lasthop,jmphop,offset1,jmpsum; unsigned int twojmp0,twojmp1,twojmp2,twojmp3,glohop,glojmp,tmpjump,histoy[100]; unsigned int histoz[100],histow[200],histov[200],histos[200],offset2,badtucnt; unsigned int concov[27*3],histot[30],histou[30],offset4,concove[27*3],offset5; unsigned int histoa[30],histob[30],patcnt,cyccntu,cyccntb,histor[100],equcnt; unsigned int histod[400],offset6,histoe[100],kl[50*2],klcount,kle[50*2],klecount; unsigned int lamcnt,lamcntc,sumtuc,mintu,maxtu,mintuc,maxtuc,klp[50*2],klpcount; unsigned int outcnt[200],wrap,histof[200],histodd[400],ii; unsigned int EM[4],EN[4],sv[2002],A[32],B[32],C[32],D[32],L[32],S[32],em; unsigned int outkl[1000*2],outklind,cycsav[100*2],cycsavind; double maxminrat,minmaxrat,maxminratc,minmaxratc; double lambda,d,dmin,dmax,del,maxdel,mindel,sumrec,tempf,chain,rat,oldchn; double ratdel,tempg,cap,cam,bp,bm,savchain,maxcmp,mean,std,var,maxdiff; unsigned int flubs,flubx,pcount,chhist[40],jj; unsigned int maxt,maxu,mint,minu,sumt,sumu,kk,ut[1000],sumtu1; double lambdat,lambdau,lambda1,lambda2,lambda3; unsigned int l1flag,l2flag,l3flag,d1hist[40],d2hist[40],d3hist[40]; int savecp,ksavep; FILE *Outfp; Outfp = fopen("out0cj.dat","w"); flubs=0; flubx=0; maxdiff=0.0; pcount=0; em=32; for (i=0; i<40; i++) { chhist[i]=0; d1hist[i]=0; d2hist[i]=0; d3hist[i]=0; } if (eowrite==0) { eocount=1; } else { for (i=0; i<20; i++) ncyc[i]=0; } for (x=0; x<eocount; x++) { efact=eofact[2*x]; ofact=eofact[2*x+1]; printf("efact=%d, ofact=%d \n",efact,ofact); fprintf(Outfp,"efact=%d, ofact=%d \n",efact,ofact); for (i=0; i<100; i++) { histo[i]=0; histoj[i]=0; newhis[i]=0; oldhis[i]=0; histoi[i]=0; histox[i]=0; histoy[i]=0; histoz[i]=0; histor[i]=0; histoe[i]=0; } for (i=0; i<200; i++) { histoh[i]=0; histow[i]=0; histov[i]=0; histos[i]=0; histof[i]=0; } for (i=0; i<10; i++) { hismin[i]=0; histom[i]=0; } for (i=0; i<20; i++) histon[i]=0; for (i=0; i<30; i++) { histot[i]=0; histou[i]=0; histoa[i]=0; histob[i]=0; } for (i=0; i<27*3; i++) { concov[i]=0; concove[i]=0; } for (i=0; i<400; i++) { histod[i]=0; histodd[i]=0; } for (i=0; i<200; i++) outcnt[i]=0; for (i=0; i<1000; i++) { outkl[2*i]=0; outkl[2*i+1]=0; } outklind=0; badcnt=0; badcntu=0; badtucnt=0; badcomp=0; compcnt=0; cyccntu=0; cyccntb=0; equcnt=0; maxcmp=0.0; primary=0; rat=log(3.0)/log(2.0); ratdel=rat/(rat-1.0); offset=20; offset1=60; offset2=90; offset4=15; offset5=20; offset6=100; index=0; maxdel=-1000000.0; mindel=1000000.0; maxminrat=0.0; minmaxrat=1000000000.0; maxminratc=0.0; minmaxratc=1000000000.0; lamcnt=0; lamcntc=0; county=0; countn=0; countx=0; cyccnt=0; mcount=0; glohop=0; glojmp=0; twojmp=0; twojmp0=0; twojmp1=0; twojmp2=0; twojmp3=0; jmphop=0; for (h=0; h<166; h++) { c=cval[h]; iters=size[h]; for (i=0; i<50; i++) { kl[2*i]=0; kl[2*i+1]=0; } klcount=0; for (i=0; i<50; i++) { kle[2*i]=0; kle[2*i+1]=0; } klecount=0; for (i=0; i<50; i++) { klp[2*i]=0; klp[2*i+1]=0; } klpcount=0; for (i=0; i<100; i++) { cycsav[2*i]=0; cycsav[2*i+1]=0; } cycsavind=0; if (eowrite==0) printf("c=%d \n",c); for (i=0; i<iters; i++) s[i]=sin[i+index]; // // compute order (of loop) // sumtu=0; sumt=0; sumu=0; sumtuc=0; maxtu=0; maxt=0; maxu=0; mintu=1000000000; mint=1000000000; minu=1000000000; kk=0; maxtuc=0; mintuc=1000000000; total=0; olds=0; glomax=0; glomin=1000000000; a=0; mflag=0; attcnt=0; patcnt=0; savind=0; sumrec=0.0; oddsum=0; jmpsum=0; oldt=0; lastt=0; firstt=1; oldchn=1000000000.0; oldu=0; evensum=0; hcount=0; jsum=0; for (i=0; i<iters; i++) { k=s[i]; savek=k; max=k; if (max<0) max=-max; levens=0; while (k==(k/2)*2) { k=k/2; levens=levens+1; } lodds=1; for (j=1; j<100000; j++) { k=3*k+c; if ((k&7)==0) { oldk=savek; savek=k; } temp=k; if (temp<0) temp=-temp; if (temp>max) max=temp; while (k==(k/2)*2) { if (k==s[i]) { levens=levens-1; goto bskip; } k=k/2; levens=levens+1; } levens=levens-1; lodds=lodds+1; } printf("error: i=%d, s[i]=%d \n",i,s[i]); goto zskip; bskip: order=3; while (order<max) order=order*2; while ((oldk&1)==0) oldk=oldk/2; u=oldk; // // find odd natural number divisible by 3 // k=s[i]; max=k; if (max<0) max=-max; while (k!=(k/3)*3) { if (k==(k/2)*2) { if ((k-c)==((k-c)/3)*3) { k=(k-c)/3; temp=k; if (temp<0) temp=-temp; if (temp>max) max=temp; } else { k=k*2; temp=k; if (temp<0) temp=-temp; if (temp>max) max=temp; } } else { k=k*2; temp=k; if (temp<0) temp=-temp; if (temp>max) max=temp; } } // // include even natural numbers to the left of the odd natural number divisible // by 3 // t=k; jump=1; flag0=3; if ((3*t+c)==s[i]) { jump=0; flag0=0; } temp=t-u; m=0; jcnt=0; while ((temp&1)==0) { m=m+1; temp=temp/2; } while (order<max) order=order*2; temp=k; if (temp<0) temp=-temp; while (temp<(order/2)) { temp=temp*2; k=k*2; } // // compute sequence // hsum=0; count=1; first=1; while (k==(k/2)*2) { k=k/2; count=count+1; } evens=count-1; odds=1; for (j=1; j<10000; j++) { k=3*k+c; count=count+1; if (first==0) { if (((k&3)==0)&&((k&7)!=0)) hsum=hsum+1; } flag=0; while (k==(k/2)*2) { if (k==s[i]) { if (first==1) first=0; else goto askip; } k=k/2; count=count+1; flag=flag+1; } if (first==1) { evens=evens+(flag-1); odds=odds+1; if (flag==2) { jcnt=jcnt+1; if ((3*k+c)==s[i]) flag0=1; } } } printf("error \n"); goto zskip; askip: if ((jcnt==1)&&(flag0==1)) jump=1; if ((jcnt>1)&&(flag0==1)) jump=2; if ((jcnt>0)&&(flag0==0)) jump=3; if (flag0==3) jump=3; jumps[i]=jump; attcnt=attcnt+1; // // check order of jump types for primary, secondary, tertiary, etc. // if ((4*s[i])!=olds) { tmpjump=jump; if (jump==3) { printf("error: primary jumped-over attachment point \n"); goto zskip; } } else { if (tmpjump==0) { if (jump!=3) { printf("error: incorrect order \n"); fprintf(Outfp,"error: incorrect order \n"); goto zskip; } } if (tmpjump==3) { if ((jump!=1)&&(jump!=2)) { printf("error: incorrect order \n"); fprintf(Outfp,"error: incorrect order \n"); goto zskip; } } if ((tmpjump==1)||(tmpjump==2)) { if (jump!=0) { printf("error: incorrect order \n"); fprintf(Outfp,"error: incorrect order \n"); goto zskip; } } tmpjump=jump; } // // check hops in multiple-jumps // jmpcnt=0; if (jump==2) { first=0; second=0; flag0=0; k=t; if (((3*k+c)&3)==0) { // check for hop first=1; // hop count lasthop=1; // set last hop flag } else { second=1; // jump count flag0=1; // set first jump flag lasthop=0; } while ((3*k+c)!=s[i]) { k=k+c; tmpcnt=0; while ((k&1)==0) { k=k/2; tmpcnt=tmpcnt+1; } for (j=0; j<tmpcnt; j++) k=k*3; k=(k-c)/2; if ((((3*k+c)&3)==0)&&((3*k+c)!=s[i])) { // check for hop first=first+1; // increment hop count lasthop=1; // set last hop flag } if ((((3*k+c)&3)!=0)&&((3*k+c)!=s[i])) { // check for jump second=second+1; // increment jump count lasthop=0; } jmpcnt=jmpcnt+1; } if ((flag0==0)&&(second>0)&&(lasthop==1)) { // first and last are hops if (wflag==5) { printf("warning: non-adjacent hops, c=%d, s=%d \n",c,s[i]); fprintf(Outfp,"warning: non-adjacent hops, c=%d, s=%d \n",c,s[i]); } jmphop=jmphop+1; } if ((flag0==1)&&(first>0)&&(lasthop==0)) { // first and last are jumps if (wflag==5) { printf("warning: non-adjacent jumps, c=%d, s=%d \n",c,s[i]); fprintf(Outfp,"warning: non-adjacent jumps, c=%d, s=%d \n",c,s[i]); } jmphop=jmphop+1; } glohop=glohop+first; // total number of hops glojmp=glojmp+second; // total number of jumps if (jmpcnt==2) { twojmp=twojmp+1; // total number of two-"jumps" if (first==2) twojmp0=twojmp0+1; if ((first==1)&&(second==1)) { if (lasthop==1) twojmp1=twojmp1+1; else twojmp2=twojmp2+1; } if (second==2) twojmp3=twojmp3+1; } mcount=mcount+1; } // // check chain (t values) // if ((4*s[i])!=olds) { temp=t+c; if (temp<0) temp=-temp; chain=(double)temp; temp=s[i]; if (temp<0) temp=-temp; while ((temp&1)==0) // next u value temp=temp/2; chain=rat*log(chain); chain=exp(chain); if (jump==1) chain=chain*2.0; if (jump==2) chain=chain*(double)(1<<jmpcnt); if (chain<(double)temp) { if ((wflag!=2)&&(eowrite==0)) { printf("error: bad t-u chain, c=%d, t=%d, u=%d, jump=%d, count=%d \n",c,t,temp,jump,jmpcnt); fprintf(Outfp,"error: bad t-u chain, c=%d, t=%d, u=%d, jump=%d, count=%d \n",c,t,temp,jump,jmpcnt); } badtucnt=badtucnt+1; } if (chain<(double)oldt) { if ((wflag!=2)&&(eowrite==0)) { printf("error: bad chain, c=%d \n",c); printf("chain=%e, oldt=%d, t=%d, jump=%d, count=%d, s=%d \n",chain,oldt,t,jump,jmpcnt,s[i]); fprintf(Outfp,"error: bad chain, c=%d \n",c); fprintf(Outfp,"chain=%e, oldt=%d, t=%d, jump=%d, count=%d, s=%d \n",chain,oldt,t,jump,jmpcnt,s[i]); } badcnt=badcnt+1; } oldt=t; if (oldt<0) oldt=-oldt; if (firstt==1) { savchain=chain; savet=t; savjump=jump; savcnt=jmpcnt; firstt=0; } } // // check for powers of 2 // if (((4*s[i])!=olds)&&(jump==2)&&(jmpcnt==2)) { temp=t; temp=temp+c; if (temp<0) temp=-temp; while ((temp&1)==0) temp=temp/2; if ((wflag==3)&&(temp==1)) { printf("power of two: c=%d, u=%d, t=%d, s=%d \n",c,u,t,s[i]); fprintf(Outfp,"power of two: c=%d, u=%d, t=%d, s=%d \n",c,u,t,s[i]); } if (chain<(double)lastt) { printf("error: bad chain, chain=%e, lastt=%d \n",chain,lastt); fprintf(Outfp,"error: bad chain, chain=%e, lastt=%d \n",chain,lastt); goto zskip; } } lastt=t; if (lastt<0) lastt=-lastt; // // count hops up until attachment point // if ((4*s[i])!=olds) { icount=0; k=u; k=3*k+c; while (k!=(4*s[i])) { if ((k&3)==0) { icount=icount+1; k=k/4; } else k=k/2; k=3*k+c; } // lcount=1; k=s[i]; while ((k&1)==0) { lcount=lcount+1; k=k/2; } delta=odds+icount-lcount; if (jump==1) { delta=delta-1; jmpsum=jmpsum+1; } if (jump==2) { delta=delta-jmpcnt; jmpsum=jmpsum+jmpcnt; } if ((delta<-10)&&(wflag==0)) { printf("warning: delta less than -10 \n"); printf("lcount=%d, icount=%d, delta=%d \n",lcount,icount,odds+icount-lcount); fprintf(Outfp,"warning: delta less than -2 \n"); fprintf(Outfp,"lcount=%d, icount=%d, delta=%d \n",lcount,icount,odds+icount-lcount); } delta=delta+offset; if (delta<0) { printf("error: offset not big enough \n"); goto zskip; } if (delta>99) { printf("error: histogram array not big enough \n"); goto zskip; } histoi[delta]=histoi[delta]+1; // delta=(int)m-lcount+icount; if (jump==1) delta=delta-1; if (jump==2) delta=delta-jmpcnt; delta=delta+offset; if (delta<0) { printf("error: offset not big enough \n"); goto zskip; } if (delta>99) { printf("error: histogram array not big enough \n"); goto zskip; } histox[delta]=histox[delta]+1; // if (((c==hflag1)&&(cflag[index+i]>=indmin)&&(cflag[index+i]<=indmax))||(hflag1==0)) { delta=(int)m-lcount; delta=delta+offset; if (delta<0) { printf("error: offset not big enough \n"); goto zskip; } if (delta>99) { printf("error: histogram array not big enough \n"); goto zskip; } histoy[delta]=histoy[delta]+1; } // delta=icount; if (jump==1) delta=delta-1; if (jump==2) delta=delta-jmpcnt; delta=delta+offset; if (delta<0) { printf("error: offset not big enough \n"); goto zskip; } if (delta>99) { printf("error: histogram array not big enough \n"); goto zskip; } histoz[delta]=histoz[delta]+1; // delta=odds-lcount; delta=delta+offset; if (delta<0) { printf("error: offset not big enough \n"); goto zskip; } if (delta>99) { printf("error: histogram array not big enough \n"); goto zskip; } histor[delta]=histor[delta]+1; } // k=(int)odds-(int)m; if (wflag==0) { printf("c=%d, s=%d, o=%d, t=%d, u=%d, e=%d, o=%d, e=%d, o=%d, jump=%d, j=%d, d=%d \n",c,s[i],order,t,u,evens,odds,levens,lodds,jump,m,k); fprintf(Outfp,"c=%d, s=%d, o=%d, t=%d, u=%d, e=%d, o=%d, e=%d, o=%d, jump=%d, j=%d, d=%d \n",c,s[i],order,t,u,evens,odds,levens,lodds,jump,m,k); if (evens<odds) { printf("warning: even count less than odd count \n"); fprintf(Outfp,"warning: even count less than odd count \n"); } } // // continued-fraction convergents // for (tempi=0; tempi<27; tempi++) { if ((conv[2*tempi]==(levens+lodds))&&(conv[2*tempi+1]==lodds)) { if ((concov[3*tempi]==0)||(concov[3*tempi]==(unsigned int)c)) concov[3*tempi]=c; else { if ((concov[3*tempi+1]==0)||(concov[3*tempi+1]==(unsigned int)c)) concov[3*tempi+1]=c; else concov[3*tempi+2]=c; } if ((4*s[i])!=olds) { delta=(int)m-lcount; delta=delta+offset4; if (delta<0) { printf("array not big enough \n"); goto zskip; } if (delta>29) { printf("array not big enough \n"); goto zskip; } histot[delta]=histot[delta]+1; } } if (conv[2*tempi+1]>lodds) break; } // for (tempi=0; tempi<27; tempi++) { if ((conv[2*tempi+1]==levens)&&(conv[2*tempi+1]==lodds)) { if ((concove[3*tempi]==0)||(concove[3*tempi]==(unsigned int)c)) concove[3*tempi]=c; else { if ((concove[3*tempi+1]==0)||(concove[3*tempi+1]==(unsigned int)c)) concove[3*tempi+1]=c; else concove[3*tempi+2]=c; } if ((4*s[i])!=olds) { delta=(int)m-lcount; delta=delta+offset4; if (delta<0) { printf("array not big enough \n"); goto zskip; } if (delta>29) { printf("array not big enough \n"); goto zskip; } histoa[delta]=histoa[delta]+1; } } if (conv[2*tempi+1]>lodds) break; } // // total odds and evens // if ((4*s[i])!=olds) { oddsum=oddsum+odds; evensum=evensum+lcount; jsum=jsum+m; hcount=hcount+icount; patcnt=patcnt+1; } // // compute sum of reciprocals // if ((4*s[i])!=olds) { temp=t; if (temp<0) temp=-temp; sumrec=sumrec+(1.0/(double)temp); temp=u; if (temp<0) temp=-temp; sumrec=sumrec+(1.0/(double)temp); primary=primary+1; } // // check chain (u values) // if ((4*s[i])!=olds) { temp=u; if (temp<0) temp=-temp; if (oldchn<(double)temp) { if ((wflag!=2)&&(eowrite==0)) { printf("error: bad chain, c=%d \n",c); printf("chain=%e, u=%d, old u=%d, jump=%d, s=%d \n",oldchn,u,oldu,jump,s[i]); fprintf(Outfp,"error: bad chain, c=%d \n",c); fprintf(Outfp,"chain=%e, u=%d, old u=%d, jump=%d, s=%d \n",oldchn,u,oldu,jump,s[i]); } badcntu=badcntu+1; } temp=u+c; if (temp<0) temp=-temp; oldchn=(double)temp; oldchn=rat*log(oldchn); oldchn=exp(oldchn); oldu=u; } // // check j values for no-jumps // if (jump==0) { if ((m>10)&&(wflag==0)) { printf("warning: no-jump with j>10 \n"); fprintf(Outfp,"warning: no-jump with j>10 \n"); } if (((c==hflag)&&(cflag[index+i]>=indmin)&&(cflag[index+i]<=indmax))||(hflag==0)) { if ((4*s[i])!=olds) { if (m>19) { printf("histogram array not big enough \n"); goto zskip; } histon[m]=histon[m]+1; } } } // // check j values for multiple-jumps // if (jump==2) { if ((m>3)&&(wflag==0)) { printf("warning: multiple-jump with j>3 \n"); fprintf(Outfp,"warning: multiple-jump with j>3 \n"); } if ((4*s[i])!=olds) { if (m>9) { printf("histogram array not big enough \n"); goto zskip; } histom[m]=histom[m]+1; } } // // histogram k values // if (((c==hflag)&&(cflag[index+i]>=indmin)&&(cflag[index+i]<=indmax))||(hflag==0)) { if ((jump==1)&&((4*s[i])!=olds)) { delta=k+offset; if (delta<0) { printf("error: offset not big enough \n"); goto zskip; } if (delta>99) { printf("error: histogram array not big enough \n"); goto zskip; } histoj[delta]=histoj[delta]+1; } } // // histogram evens minus odds // if (jump==1) { delta=(int)evens-(int)odds; delta=delta+offset; if (delta<0) { printf("error: offset not big enough \n"); goto zskip; } if (delta>99) { printf("error: histogram array not big enough \n"); goto zskip; } histo[delta]=histo[delta]+1; } // // find minimum t or u // if ((4*s[i])!=olds) { temp=t; if (temp<0) temp=-temp; if (temp<glomin) glomin=temp; temp=u; if (temp<0) temp=-temp; if (temp<glomin) glomin=temp; a=a+1; } // // find local maximum and minimum // k=u; locmin=k; if (locmin<0) locmin=-locmin; locmax=locmin; lastodd=locmax; k=3*k+c; while ((k&7)!=0) { while ((k&1)==0) { k=k/2; } delta=k; if (delta<0) delta=-delta; if (delta<locmin) locmin=delta; if (delta>locmax) locmax=delta; lastodd=delta; k=3*k+c; } if ((4*s[i])!=olds) { // check if primary if ((lastodd!=locmax)&&(jump==2)) { printf("error: no-jump with local maximum at attachment point \n"); printf("locmin=%d, locmax=%d, lastodd=%d \n",locmin,locmax,lastodd); fprintf(Outfp,"error: no-jump with local maximum at attachment point \n"); goto zskip; } if (lastodd!=locmax) { if (jump==0) county=county+1; if (jump==1) { countn=countn+1; if (((c==hflag)&&(cflag[index+i]>=indmin)&&(cflag[index+i]<=indmax))||(hflag==0)) { delta=(int)odds-(int)m; delta=delta+offset; if (delta<0) { printf("array not big enough \n"); goto zskip; } if (delta>99) { printf("array not big enough \n"); goto zskip; } newhis[delta]=newhis[delta]+1; } } if (jump==3) countx=countx+1; } } if ((4*s[i])!=olds) { if (locmax>glomax) { glomax=locmax; usave=u; savjmp=jump; } } // // check local minimum // if ((jump==1)&&((4*s[i])!=olds)) { mincnt=0; k=u; delta=k; if (delta<0) delta=-delta; if (delta==locmin) { hismin[0]=hismin[0]+1; goto yskip; } while (delta!=locmin) { k=3*k+c; if ((k&3)!=0) { hismin[9]=hismin[9]+1; delta=(int)odds-(int)m; delta=delta+offset; if (delta<0) { printf("array not big enough \n"); goto zskip; } if (delta>99) { printf("array not big enough \n"); goto zskip; } histoe[delta]=histoe[delta]+1; if (bypass==0) goto pskip; else goto yskip; } k=k/4; delta=k; if (delta<0) delta=-delta; mincnt=mincnt+1; } if (mincnt>8) { printf("error: array not big enough \n"); goto zskip; } hismin[mincnt]=hismin[mincnt]+1; pskip: if (((c==hflag)&&(cflag[index+i]>=indmin)&&(cflag[index+i]<=indmax))||(hflag==0)) { delta=(int)odds-(int)m; delta=delta+offset; if (delta<0) { printf("array not big enough \n"); goto zskip; } if (delta>99) { printf("array not big enough \n"); goto zskip; } oldhis[delta]=oldhis[delta]+1; } } // // check multiple-jumps // yskip: if ((jump==2)&&((4*s[i])!=olds)) { k=u; k=3*k+c; while ((k&7)!=0) { if ((k&3)==0) { printf("error: not one jump from u \n"); fprintf(Outfp,"error: not one jump from u \n"); goto zskip; } k=k/2; k=3*k+c; } } // // check if primary multiple-jumps are preceded by no-jumps // Note: Only last primary multiple-jump checked. // if ((jump==2)&&((4*s[i])!=olds)) { k=u*2; if ((((k-c)/3)*3)!=(k-c)) k=k*2; tmps=k; mflag=1; } // // compute domain // if ((4*s[i])!=olds) { k=t; if (k<0) k=-k; if ((unsigned int)k>maxtu) maxtu=k; if ((unsigned int)k<mintu) mintu=k; sumtu=sumtu+k; sumt=sumt+k; ut[kk]=k; kk=kk+1; if (kk>998) { printf("array not big enough \n"); goto zskip; } stu[2*total]=k; k=u; if (k<0) k=-k; if ((unsigned int)k>maxtu) maxtu=k; if ((unsigned int)k<mintu) mintu=k; sumtu=sumtu+k; sumu=sumu+k; ut[kk]=k; kk=kk+1; stu[2*total+1]=k; // k=t+c; if (k<0) k=-k; if ((unsigned int)k>maxtuc) maxtuc=k; if ((unsigned int)k<mintuc) mintuc=k; sumtuc=sumtuc+k; k=u+c; if (k<0) k=-k; if ((unsigned int)k>maxtuc) maxtuc=k; if ((unsigned int)k<mintuc) mintuc=k; sumtuc=sumtuc+k; total=total+1; if (total>1000) { printf("output array too small \n"); goto zskip; } } // // check for new cycle // if ((cflag[index+i]!=cflag[index+i+1])||(i==(iters-1))) { // // check for K1=K2, but L1!=L2 // for (tempi=0; tempi<klcount; tempi++) { if ((kl[2*tempi]==lodds)&&(kl[2*tempi+1]==levens)) goto qskip; if ((kl[2*tempi]==lodds)&&(kl[2*tempi+1]!=levens)) { if (ewrite==1) { printf("warning o: c=%d, L1=%d, K1=%d, L2=%d, K2=%d \n",c,levens,lodds,kl[2*tempi+1],kl[2*tempi]); fprintf(Outfp,"warning o: c=%d, L1=%d, K1=%d, L2=%d, K2=%d \n",c,levens,lodds,kl[2*tempi+1],kl[2*tempi]); } } } kl[2*klcount]=lodds; kl[2*klcount+1]=levens; klcount=klcount+1; if (klcount==50) { printf("array not big enough \n"); goto zskip; } // // check for L1=L2, but K1!=K2 // qskip: for (tempi=0; tempi<klecount; tempi++) { if ((kle[2*tempi]==lodds)&&(kle[2*tempi+1]==levens)) goto sskip; if ((kle[2*tempi]!=lodds)&&(kle[2*tempi+1]==levens)) { if (ewrite==1) { printf("warning e: c=%d, L1=%d, K1=%d, L2=%d, K2=%d \n",c,levens,lodds,kle[2*tempi+1],kle[2*tempi]); fprintf(Outfp,"warning e: c=%d, L1=%d, K1=%d, L2=%d, K2=%d \n",c,levens,lodds,kle[2*tempi+1],kle[2*tempi]); } } } kle[2*klecount]=lodds; kle[2*klecount+1]=levens; klecount=klecount+1; if (klecount==50) { printf("array not big enough \n"); goto zskip; } // // check for K1+L1=K2+L2, but K1!=K2 // sskip: if ((ewrite==1)&&(i==(iters-1))) { printf("c=%d, cycles=%d \n",c,klcount); fprintf(Outfp,"c=%d, cycles=%d \n",c,klcount); if (klcount<20) { ncyc[klcount]=ncyc[klcount]+1; } else { printf("error: array not big enough \n"); goto zskip; } } for (tempi=0; tempi<klpcount; tempi++) { if ((klp[2*tempi]==lodds)&&(klp[2*tempi+1]==levens)) goto rskip; if ((klp[2*tempi]!=lodds)&&((klp[2*tempi+1]*efact+klp[2*tempi]*ofact)==(levens*efact+lodds*ofact))) { if (eowrite==1) { printf("warning p: c=%d, L1=%d, K1=%d, L2=%d, K2=%d \n",c,levens,lodds,klp[2*tempi+1],klp[2*tempi]); fprintf(Outfp,"warning p: c=%d, L1=%d, K1=%d, L2=%d, K2=%d \n",c,levens,lodds,klp[2*tempi+1],klp[2*tempi]); } } } klp[2*klpcount]=lodds; klp[2*klpcount+1]=levens; klpcount=klpcount+1; if (klpcount==50) { printf("array not big enough \n"); goto zskip; } rskip: for (tempi=0; tempi<cycsavind; tempi++) { if ((cycsav[2*tempi]==levens)&&(cycsav[2*tempi+1]==lodds)) goto rjump; } cycsav[2*cycsavind]=levens; cycsav[2*cycsavind+1]=lodds; cycsavind=cycsavind+1; // // check maximum, minimum, and average // rjump: lambda=(double)sumtu/(double)(total*2); lambdat=(double)sumt/(double)total; lambdau=(double)sumu/(double)total; if (total>1) { sumtu1=0; kk=0; for (g=0; g<total*2; g++) { if ((double)ut[g]<=lambda) { sumtu1=sumtu1+ut[g]; kk=kk+1; } } if (kk==0) { printf("error 1: kk=0, c=%d, e=%d, o=%d, a=%d \n",c,levens,lodds,total); fprintf(Outfp,"error 1: kk=0, c=%d, e=%d, o=%d, a=%d \n",c,levens,lodds,total); goto zskip; } l1flag=kk; lambda1=(double)sumtu1/(double)kk; if (kk==1) { lambda2=10000000000.0; lambda3=10000000000.0; goto ejump; } } if (total>2) { sumtu1=0; kk=0; for (g=0; g<total*2; g++) { if ((double)ut[g]<=lambda1) { sumtu1=sumtu1+ut[g]; kk=kk+1; } } if (kk==0) { printf("error 2: kk=0, c=%d, e=%d, o=%d, a=%d \n",c,levens,lodds,total); fprintf(Outfp,"error 2: kk=0, c=%d, e=%d, o=%d, a=%d \n",c,levens,lodds,total); goto zskip; } l2flag=kk; lambda2=(double)sumtu1/(double)kk; if (kk==1) { lambda3=10000000000.0; goto ejump; } } if (total>3) { sumtu1=0; kk=0; for (g=0; g<total*2; g++) { if ((double)ut[g]<=lambda2) { sumtu1=sumtu1+ut[g]; kk=kk+1; } } if (kk==0) { printf("error 3: kk=0, c=%d, e=%d, o=%d, a=%d \n",c,levens,lodds,total); fprintf(Outfp,"error 3: kk=0, c=%d, e=%d, o=%d, a=%d \n",c,levens,lodds,total); goto zskip; } l3flag=kk; lambda3=(double)sumtu1/(double)kk; } // // check M and N for parity vector p // ejump: if (lodds>levens) { for (g=0; g<5000; g++) { if (((levens+lodds)==(ln[g]>>16))&&(lodds==(ln[g]&0xffff))) { pcount=pcount+1; g=halbhung(levens+lodds,lodds,EM,EN,sv,A,B,C,D,L,S,em); if (g!=0) { printf("error: N can't be computed \n"); fprintf(Outfp,"error: N can't be computed \n"); goto qjump; } d=(double)EN[3]*(double)c/4.0/6.0; if (d>(double)maxtu) { printf("error 1: lambda=%e, max=%d, min=%d, evens=%d, odds=%d, M=%e, N=%e \n",lambda,maxtu,mintu,levens,lodds,(double)(c*EM[3])/4.0,(double)(c*EN[3])/4.0); fprintf(Outfp,"error 2: lambda=%e, max=%d, min=%d, evens=%d, odds=%d, M=%e, N=%e \n",lambda,maxtu,mintu,levens,lodds,(double)(c*EM[3])/4.0,(double)(c*EN[3])/4.0); goto zskip; } d=d*2.0; if ((d>(double)maxtu)&&(total!=1)) { printf("error 1: lambda=%e, max=%d, min=%d, evens=%d, odds=%d, M=%e, N=%e \n",lambda,maxtu,mintu,levens,lodds,(double)(c*EM[3])/4.0,(double)(c*EN[3])/4.0); fprintf(Outfp,"error 2: lambda=%e, max=%d, min=%d, evens=%d, odds=%d, M=%e, N=%e \n",lambda,maxtu,mintu,levens,lodds,(double)(c*EM[3])/4.0,(double)(c*EN[3])/4.0); goto zskip; } d=(double)EM[3]*(double)c/2.0; if (d<(double)mintu) { printf("error 2: lambda=%e, max=%d, min=%d, evens=%d, odds=%d, M=%e, N=%e \n",lambda,maxtu,mintu,levens,lodds,(double)(c*EM[3])/4.0,(double)(c*EN[3])/4.0); fprintf(Outfp,"error 3: lambda=%e, max=%d, min=%d, evens=%d, odds=%d, M=%e, N=%e \n",lambda,maxtu,mintu,levens,lodds,(double)(c*EM[3])/4.0,(double)(c*EN[3])/4.0); goto zskip; } break; } if (lodds<(ln[g]&0xffff)) break; } } // // check maxtu/lambda, delta power=a+1 // qjump: d=log(3)/log(2); d=exp((double)(total+1)*log(d)); if (d<((double)maxtu/lambda)) { printf("error: d=%e, max=%d, min=%d, lambda=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambda=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,total,c,levens,lodds); goto zskip; } // // check maxtu/mintu, a>3, delta power=4*a+0 // if (total>3) { d=log(3)/log(2); d=exp((double)(total*4+0)*log(d)); if (d<((double)maxtu/(double)mintu)) { printf("error: d=%e, max=%d, min=%d, lambda=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambda=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,total,c,levens,lodds); goto zskip; } } d=log(3)/log(2); d=exp((double)(total+1)*log(d)); if (total>1) { if (d<(lambda/lambda1)) { printf("error: d=%e, max=%d, min=%d, lambda=%e, lambda1=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,lambda1,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambda=%e, lambda1=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,lambda1,total,c,levens,lodds); printf("c=%d, e=%d, o=%d, a=%d, kk=%d \n",c,levens,lodds,total,l1flag); fprintf(Outfp,"c=%d, e=%d, o=%d, a=%d, kk=%d \n",c,levens,lodds,total,l1flag); } } if (total>2) { if (d<(lambda1/lambda2)) { printf("error: d=%e, max=%d, min=%d, lambda1=%e, lambda2=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda1,lambda2,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambda1=%e, lambda2=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda1,lambda2,total,c,levens,lodds); printf("c=%d, e=%d, o=%d, a=%d, kk=%d \n",c,levens,lodds,total,l2flag); fprintf(Outfp,"c=%d, e=%d, o=%d, a=%d, kk=%d \n",c,levens,lodds,total,l2flag); } } if (total>3) { if (d<(lambda2/lambda3)) { printf("error: d=%e, max=%d, min=%d, lambda2=%e, lambda3=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda2,lambda3,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambda2=%e, lambda3=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda2,lambda3,total,c,levens,lodds); printf("c=%d, e=%d, o=%d, a=%d, kk=%d \n",c,levens,lodds,total,l3flag); fprintf(Outfp,"c=%d, e=%d, o=%d, a=%d, kk=%d \n",c,levens,lodds,total,l3flag); } } // // check maxtu/mintu, parity vector p, lambda/lambda1, lambda1/lambda2, etc. // if (lodds>levens) { for (g=0; g<5000; g++) { if (((levens+lodds)==(ln[g]>>16))&&(lodds==(ln[g]&0xffff))) { d=log(3)/log(2); d=exp((double)(total*4+1)*log(d)); if (d<((double)maxtu/(double)mintu)) { printf("error: d=%e, max=%d, min=%d, lambda=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambda=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,total,c,levens,lodds); goto zskip; } d=log(3)/log(2); d=exp((double)(total+1)*log(d)); if (total>1) { if (d<(lambda/lambda1)) { printf("error: d=%e, max=%d, min=%d, lambda=%e, lambda1=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,lambda1,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambda=%e, lambda1=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,lambda1,total,c,levens,lodds); if (l1flag!=1) goto zskip; else { printf("kkp=1 \n"); fprintf(Outfp,"kkp=1, c=%d, e=%d, o=%d, a=%d \n",c,levens,lodds,total); } } } if (total>2) { if (d<(lambda1/lambda2)) { printf("error: d=%e, max=%d, min=%d, lambda1=%e, lambda2=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda1,lambda2,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambda1=%e, lambda2=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda1,lambda2,total,c,levens,lodds); if (l2flag!=1) goto zskip; else { printf("kkp=1 \n"); fprintf(Outfp,"kkp=1, c=%d, e=%d, o=%d, a=%d \n",c,levens,lodds,total); } } } if (total>3) { if (d<(lambda2/lambda3)) { printf("error: d=%e, max=%d, min=%d, lambda2=%e, lambda3=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda2,lambda3,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambda2=%e, lambda3=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda2,lambda3,total,c,levens,lodds); if (l3flag!=1) goto zskip; else { printf("kkp=1 \n"); fprintf(Outfp,"kkp=1, c=%d, e=%d, o=%d, a=%d \n",c,levens,lodds,total); } } } } if (lodds<(ln[g]&0xffff)) break; } } // // lambda=average of t, lambda=average of u, delta power=(a+2)/2 // d=log(3)/log(2); d=exp((double)(total+2)/2.0*log(d)); if (d<((double)maxu/lambdau)) { printf("error: d=%e, max=%d, min=%d, lambdau=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxu,minu,lambdau,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambdau=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxu,minu,lambdau,total,c,levens,lodds); goto zskip; } if (d<((double)maxt/lambdat)) { printf("error: d=%e, max=%d, min=%d, lambdat=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxt,mint,lambdat,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambdat=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxt,mint,lambdat,total,c,levens,lodds); goto zskip; } // // power for specified a value // if (total==1) { d=(double)mintu; for (jj=0; jj<40; jj++) { d=d*log(3)/log(2); if (d>(double)maxtu) { if ((jj+1)>39) { printf("array not big enough \n"); goto zskip; } d1hist[jj+1]=d1hist[jj+1]+1; break; } } } if (total==2) { d=(double)mintu; for (jj=0; jj<40; jj++) { d=d*log(3)/log(2); if (d>(double)maxtu) { if ((jj+1)>39) { printf("array not big enough \n"); goto zskip; } d2hist[jj+1]=d2hist[jj+1]+1; break; } } } if (total==3) { d=(double)mintu; for (jj=0; jj<40; jj++) { d=d*log(3)/log(2); if (d>(double)maxtu) { if ((jj+1)>39) { printf("array not big enough \n"); goto zskip; } d3hist[jj+1]=d3hist[jj+1]+1; break; } } } // // histogram of powers for parity vector p, max/min // if (lodds>levens) { // if (euclid(lodds,levens)==1) { for (g=0; g<5000; g++) { if (((levens+lodds)==(ln[g]>>16))&&(lodds==(ln[g]&0xffff))) { d=(double)mintu; for (jj=0; jj<40; jj++) { d=d*log(3)/log(2); if (d>(double)maxtu) { if ((jj+1+20)<total*2) { printf("error: count=%d, total=%d \n",jj+1,total); goto zskip; } chhist[jj+21-total*2]=chhist[jj+21-total*2]+1; goto xjump; } } } if (lodds<(ln[g]&0xffff)) break; } // } } // // histogram of powers for parity vector p, lambda/min // xjump: d=log(3)/log(2); d=exp((double)(total+3)*log(d)); if (d<((double)lambda/mintu)) { if (lodds>levens) { if (euclid(lodds,levens)==1) { for (g=0; g<5000; g++) { if (((levens+lodds)==(ln[g]>>16))&&(lodds==(ln[g]&0xffff))) { flubx=flubx+1; d=(double)lambda/d/mintu; if (d>maxdiff) maxdiff=d; printf("error: d=%e, max=%d, min=%d, lambda=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,total,c,levens,lodds); fprintf(Outfp,"error: d=%e, max=%d, min=%d, lambda=%e, total=%d, c=%d, e=%d, o=%d \n",d,maxtu,mintu,lambda,total,c,levens,lodds); goto pjump; } if (lodds<(ln[g]&0xffff)) break; } } } flubs=flubs+1; } // // max*min/lambda^2 // pjump: d=(double)maxtu*(double)mintu/lambda/lambda; if (d>1.0) lamcnt=lamcnt+1; if (d>maxminrat) { maxminrat=d; savec=c; ksave=s[i]; } if (d<minmaxrat) { minmaxrat=d; savecp=c; ksavep=s[i]; } d=(double)maxu*(double)minu/lambdau/lambdau; if (d>log(3.0)/log(2.0)) { printf("error u: d=%e \n",d); goto zskip; } d=(double)maxt*(double)mint/lambdat/lambdat; if (d>log(3.0)/log(2.0)) { printf("error t: d=%e \n",d); goto zskip; } // d=exp((double)(levens+lodds)/(double)lodds*log(2.0)); d=d-3.0; tempf=d; if (d<0.0) d=-d; if (((double)c/d)<=(double)mintu) { if (eowrite==0) { printf("error: d=%e, mintu=%d, c=%d, e=%d, o=%d, a=%d \n",d,mintu,c,levens,lodds,total); fprintf(Outfp,"error: d=%e, mintu=%d, c=%d, e=%d, o=%d, a=%d \n",d,mintu,c,levens,lodds,total); } } // dmin=1.0-(double)c/(double)mintu; if (dmin<0.0) dmin=-dmin; if (dmin<=d) { if (lodds>levens) { for (g=0; g<5000; g++) { if (((levens+lodds)==(ln[g]>>16))&&(lodds==(ln[g]&0xffff))) { printf("error: d=%e, dmin=%e, mintu=%d, c=%d, e=%d, o=%d, a=%d \n",d,dmin,mintu,c,levens,lodds,total); fprintf(Outfp,"error: d=%e, dmin=%e, mintu=%d, c=%d, e=%d, o=%d, a=%d \n",d,dmin,mintu,c,levens,lodds,total); goto zskip; } if (lodds<(ln[g]&0xffff)) break; } } for (g=0; g<27; g++) { if ((conv[2*g]==(levens+lodds))&&(conv[2*g+1]==lodds)) { printf("error: d=%e, dmin=%e, mintu=%d, c=%d, e=%d, o=%d, a=%d \n",d,dmin,mintu,c,levens,lodds,total); fprintf(Outfp,"error: d=%e, dmin=%e, mintu=%d, c=%d, e=%d, o=%d, a=%d \n",d,dmin,mintu,c,levens,lodds,total); goto zskip; } } if ((tempf<0.0)&&(eowrite==0)) { printf("error 1: d=%e, dmin=%e, mintu=%d, c=%d, e=%d, o=%d, a=%d \n",d,dmin,mintu,c,levens,lodds,total); fprintf(Outfp,"error 1: d=%e, dmin=%e, mintu=%d, c=%d, e=%d, o=%d, a=%d \n",d,dmin,mintu,c,levens,lodds,total); } if ((total!=1)&&(eowrite==0)) { printf("error 2: d=%e, dmin=%e, mintu=%d, c=%d, e=%d, o=%d, a=%d \n",d,dmin,mintu,c,levens,lodds,total); fprintf(Outfp,"error 2: d=%e, dmin=%e, mintu=%d, c=%d, e=%d, o=%d, a=%d \n",d,dmin,mintu,c,levens,lodds,total); } } // dmin=1000000.0; dmax=-1000000.0; for (g=0; g<total*2; g++) { d=-log((double)stu[g]/lambda)/lambda; if (d<dmin) dmin=d; if (d>dmax) dmax=d; } del=dmax-dmin; if (del>maxdel) { maxdel=del; cmax=c; } if (del<mindel) { mindel=del; cmin=c; } if (wflag==0) { printf("lambda=%e, min=%e, max=%e, del=%e \n",lambda,dmin,dmax,del); fprintf(Outfp,"lambda=%e, min=%e, max=%e, del=%e \n",lambda,dmin,dmax,del); } lambda=(double)sumtuc/(double)(total*2); d=(double)maxtuc*(double)mintuc/lambda/lambda; if (d>1) lamcntc=lamcntc+1; if (d>maxminratc) maxminratc=d; if (d<minmaxratc) minmaxratc=d; sumtu=0; sumt=0; sumu=0; sumtuc=0; maxtu=0; maxt=0; maxu=0; mintu=1000000000; mint=1000000000; minu=1000000000; kk=0; maxtuc=0; mintuc=1000000000; total=0; olds=0; cyccnt=cyccnt+1; // sumrec=sumrec*(double)c; tempf=(double)(levens+lodds)*log(2)-(double)(lodds)*log(3); if ((wflag==1)&&(eowrite==0)) { printf("c=%d, e=%d, o=%d, sum=%e, tempf=%e, osum=%d, esum=%d, jsum=%d, hsum=%d \n",c,levens,lodds,sumrec,tempf,oddsum,evensum,jsum,hcount); fprintf(Outfp,"c=%d, e=%d, o=%d, sum=%e, tempf=%e, osum=%d, esum=%d, jsum=%d, hsum=%d \n",c,levens,lodds,sumrec,tempf,oddsum,evensum,jsum,hcount); } if (tempf<0.0) tempf=-tempf; if (tempf>(sumrec*3.0)) { printf("error: delta greater than sum of reciprocals \n"); fprintf(Outfp,"error: delta greater than sum of reciprocals \n"); goto zskip; } sumrec=0.0; // if (savchain<oldt) { if ((wflag!=2)&&(eowrite==0)) { printf("error: bad chain (wrap-around), c=%d \n",c); printf("chain=%e, oldt=%d, t=%d, jump=%d, count=%d, s=%d \n",savchain,oldt,savet,savjump,savcnt,s[i]); fprintf(Outfp,"error: bad chain (wrap-around), c=%d \n",c); fprintf(Outfp,"chain=%e, oldt=%d, t=%d, jump=%d, count=%d, s=%d \n",savchain,oldt,savet,savjump,savcnt,s[i]); } badcnt=badcnt+1; } oldt=0; lastt=0; firstt=1; oldchn=1000000000.0; oldu=0; // delta=oddsum-jmpsum+hcount-evensum+offset1; if (delta<0) { printf("error: offset not big enough \n"); goto zskip; } if (delta>199) { printf("error: histogram array not big enough \n"); goto zskip; } histoh[delta]=histoh[delta]+1; if (wflag==0) { if ((oddsum+hcount+2)<evensum) { printf("warning: oddsum=%d, hcount=%d, evensum=%d \n",oddsum,hcount,evensum); fprintf(Outfp,"warning: oddsum=%d, hcount=%d, evensum=%d \n",oddsum,hcount,evensum); } } // delta=hcount-jmpsum+offset1; if (delta<0) { printf("error: offset not big enough \n"); goto zskip; } if (delta>199) { printf("error: histogram array not big enough \n"); goto zskip; } histow[delta]=histow[delta]+1; // delta=jsum-evensum+offset2; if (delta<0) { printf("error: offset not big enough, jsum=%d, delta=%d \n",jsum,delta); goto zskip; } if (delta>199) { printf("error: histogram array not big enough \n"); goto zskip; } histov[delta]=histov[delta]+1; // for (tempi=0; tempi<27; tempi++) { if ((conv[2*tempi]==(levens+lodds))&&(conv[2*tempi+1]==lodds)) { delta=jsum-evensum+offset4; if (delta<0) { printf("array not big enough \n"); goto zskip; } if (delta>29) { printf("array not big enough \n"); goto zskip; } histou[delta]=histou[delta]+1; cyccntu=cyccntu+1; if ((3.0*log(c))<patcnt) { printf("not enough attachment points, c=%d, count=%d \n",c,patcnt); goto zskip; } } if (conv[2*tempi+1]>lodds) break; } // for (tempi=0; tempi<27; tempi++) { if ((conv[2*tempi+1]==levens)&&(conv[2*tempi+1]==lodds)) { delta=jsum-evensum+offset5; if (delta<0) { printf("array not big enough, delta b=%d \n",delta); goto zskip; } if (delta>29) { printf("array not big enough, delta b=%d \n",delta); goto zskip; } histob[delta]=histob[delta]+1; cyccntb=cyccntb+1; if ((3.0*log(c))<patcnt) { printf("not enough attachment points, c=%d, count=%d \n",c,patcnt); goto zskip; } } if (conv[2*tempi+1]>lodds) break; } // delta=oddsum-evensum+offset1; if (delta<0) { printf("error: offset not big enough, jsum=%d, delta=%d \n",jsum,delta); goto zskip; } if (delta>199) { printf("error: histogram array not big enough \n"); goto zskip; } histos[delta]=histos[delta]+1; if (lodds==levens) histof[delta]=histof[delta]+1; // // check limit // if (oddsum>jsum) { tempi=oddsum-jsum; tempf=1.0; for (j=0; j<tempi; j++) tempf=tempf*2.0; tempf=(rat-1.0)*log(tempf); tempf=exp(tempf); tempg=1.0; for (j=0; j<(unsigned int)evensum; j++) tempg=tempg*2.0; tempf=tempf/tempg; if (tempf>1.0) { if (eowrite==0) printf("warning: tempf=%e, tempg=%e, oddsum=%d, jsum=%d, evensum=%d \n",tempf,tempg,oddsum,jsum,evensum); compcnt=compcnt+1; if (tempf>maxcmp) maxcmp=tempf; } } // if (hsum!=hcount) { printf("mis-matched sums \n"); goto zskip; } oddsum=0; evensum=0; jmpsum=0; jsum=0; hcount=0; // // check primary multiple jumps // if (mflag!=0) { for (j=0; j<attcnt; j++) { if (s[j+savind]==tmps) { if ((jumps[j+savind]!=0)&&(jumps[j+savind]!=3)) { printf("error: one-jump not found \n"); goto zskip; } goto vskip; } } printf("error: no match \n"); goto zskip; } // // check number of attachment points // vskip: if ((3.0*log(c))<patcnt) { if (wflag==0) { printf("not enough attachment points, c=%d, count=%d \n",c,patcnt); fprintf(Outfp,"not enough attachment points, c=%d, count=%d \n",c,patcnt); } if (levens==lodds) equcnt=equcnt+1; } delta=(int)(3.0*log(c))-patcnt+offset6; if (delta<0) { printf("array not big enough (histod): delta=%d \n",delta); goto zskip; } if (delta>399) { printf("array not big enough (histod): delta=%d \n",delta); goto zskip; } // if ((c==2425)&&(levens==54)&&(lodds==59)) // temporary!!! histod[delta]=histod[delta]+1; for (ii=0; ii<5000; ii++) { if (((levens+lodds)==(ln[ii]>>16))&&(lodds==(ln[ii]&0xffff))) { histodd[delta]=histodd[delta]+1; goto iiskip; } if (lodds<(ln[ii]&0xffff)) goto iiskip; } printf("error: ln array not big enough \n"); goto zskip; // iiskip: attcnt=0; patcnt=0; mflag=0; savind=i+1; // // compute inequality // if (infin==0) { bp=1.0+(double)c/(double)glomin; bm=1.0-(double)c/(double)glomin; if (bm<0.0) bm=-bm; } else { bp=1.0; bm=1.0; } tempf=exp((double)a*log(rat))-1.0; tempg=(double)a/tempf; tempg=ratdel-tempg; cap=exp(tempg*log(bp)); cam=exp(tempg*log(bm)); cap=3.0*(double)c*(double)a*cap; cam=3.0*(double)c*(double)a*cam; tempg=(rat-1.0)/tempf; tempg=-tempg*(double)lodds; tempg=exp(tempg*log(2.0)); cap=cap*tempg; cam=cam*tempg; tempf=(double)(levens+lodds)*log(2)-(double)lodds*log(3); if (tempf<0.0) tempf=-tempf; if ((tempf>cap)||(tempf>cam)) { if (eowrite==0) { printf("error: c=%d, e=%d, o=%d, a=%d, cap=%e, cam=%e, tempf=%e \n",c,levens,lodds,a,cap,cam,tempf); fprintf(Outfp,"error: c=%d, e=%d, o=%d, a=%d, cap=%e, cam=%e, tempf=%e \n",c,levens,lodds,a,cap,cam,tempf); } badcomp=badcomp+1; } glomin=1000000000; a=0; // // check global maximum // k=usave; locmax=k; if (locmax<0) locmax=-locmax; lastodd=locmax; k=3*k+c; while ((k&7)!=0) { while ((k&1)==0) { k=k/2; } delta=k; if (delta<0) delta=-delta; if (delta>locmax) { locmax=delta; usave=k; } lastodd=delta; k=3*k+c; } if (lastodd!=locmax) { k=usave; k=3*k+c; while ((k&7)!=0) { k=k/2; if ((k&1)==0) { k=k/2; delta=k; if (delta<0) delta=-delta; if (delta==lastodd) { if (savjmp==0) goto wskip; else { printf("error: not a no-jump attachment point \n"); fprintf(Outfp,"error: not a no-jump attachment point \n"); goto zskip; } } } k=3*k+c; } if (savjmp!=1) { printf("error: not a one-jump attachment point \n"); fprintf(Outfp,"error: not a one-jump attachment point \n"); goto zskip; } wskip: delta=0; } glomax=0; } else olds=s[i]; } index=index+iters; if (wflag==0) { printf("\n"); fprintf(Outfp,"\n"); } for (tempi=0; tempi<cycsavind; tempi++) { outkl[2*outklind]=cycsav[2*tempi]; outkl[2*outklind+1]=cycsav[2*tempi+1]; outklind=outklind+1; } outcnt[h]=cycsavind; } ewrite=0; } printf("\n"); fprintf(Outfp,"\n"); if (eowrite!=0) { printf("histogram of number of cycles \n"); fprintf(Outfp,"histogram of number of cycles \n"); for (i=0; i<20; i++) { printf("i=%d, count=%d \n",i,ncyc[i]); fprintf(Outfp,"i=%d, count=%d \n",i,ncyc[i]); } printf("\n"); fprintf(Outfp,"\n"); } printf("maxdel=%e, c=%d, mindel=%e, c=%d \n",maxdel,cmax,mindel,cmin); fprintf(Outfp,"maxdel=%e, c=%d, mindel=%e, c=%d \n",maxdel,cmax,mindel,cmin); printf("\n"); fprintf(Outfp,"\n"); // // output histogram of evens minus odds // printf("histogram of number of evens minus odds in extended sequences \n"); fprintf(Outfp,"histogram of number evens minus odds in extended sequences \n"); flag=99; for (i=99; i>0; i--) { if (histo[i]==0) continue; else { flag=i; break; } } first=0; for (i=0; i<=(int)flag; i++) { if ((histo[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d \n",i-offset,histo[i]); printf("i=%d, h[i]=%d \n",i-offset,histo[i]); } // // output histogram of k values (for primary one-jump attachment points) // printf("\n"); fprintf(Outfp,"\n"); printf("histogram of k values for primary one-jump attachment points \n"); fprintf(Outfp,"histogram of k values for primary one-jump attachment points \n"); printf("c=%d \n",hflag); fprintf(Outfp,"c=%d \n",hflag); flag=99; for (i=99; i>0; i--) { if (histoj[i]==0) continue; else { flag=i; break; } } first=0; for (i=0; i<=(int)flag; i++) { if ((histoj[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d \n",i-offset,histoj[i]); printf("i=%d, h[i]=%d \n",i-offset,histoj[i]); } // // output histogram of hops // printf("\n"); fprintf(Outfp,"\n"); printf("number of hops before local minimum is reached \n"); fprintf(Outfp,"number of hops before local minimum is reached \n"); for (i=0; i<10; i++) { printf("i=%d, h=%d \n",i,hismin[i]); fprintf(Outfp,"i=%d, h=%d \n",i,hismin[i]); } // // output histogram of j values for primary no-jumps // printf("\n"); fprintf(Outfp,"\n"); printf("j values for primary no-jumps \n"); fprintf(Outfp,"j values for primary no-jumps \n"); for (i=0; i<20; i++) { printf("i=%d, h=%d \n",i,histon[i]); fprintf(Outfp,"i=%d, h=%d \n",i,histon[i]); } // // // output histogram of j values for primary multiple-jumps // printf("\n"); fprintf(Outfp,"\n"); printf("j values for primary multiple-jumps \n"); fprintf(Outfp,"j values for primary multiple-jumps \n"); for (i=0; i<10; i++) { printf("i=%d, h=%d \n",i,histom[i]); fprintf(Outfp,"i=%d, h=%d \n",i,histom[i]); } // // last odd counts // printf("\n"); fprintf(Outfp,"\n"); printf("no-jump count=%d, one-jump count=%d, jumped-over count=%d \n",county,countn,countx); fprintf(Outfp,"no-jump count=%d, one-jump count=%d, jumped-over count=%d \n",county,countn,countx); // // output histogram of k values (for primary one-jump attachment points) // printf("primary one-jump attachment points, last odd not equal to locmax \n"); fprintf(Outfp,"primary one-jump attachment points, last odd not equal to locmax \n"); printf("c=%d \n",hflag); fprintf(Outfp,"c=%d \n",hflag); flag=99; for (i=99; i>0; i--) { if (newhis[i]==0) continue; else { flag=i; break; } } first=0; for (i=0; i<=(int)flag; i++) { if ((newhis[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d \n",i-offset,newhis[i]); printf("i=%d, h[i]=%d \n",i-offset,newhis[i]); } // // output histogram of k values (for primary one-jump attachment points) // printf("\n"); fprintf(Outfp,"\n"); printf("primary one-jump attachment points, element several hops away from u equal to locmin (oldhis) \n"); fprintf(Outfp,"primary one-jump attachment points, element several hops away from u equal to locmin (oldhis) \n"); printf("c=%d \n",hflag); fprintf(Outfp,"c=%d \n",hflag); flag=99; for (i=99; i>0; i--) { if (oldhis[i]==0) continue; else { flag=i; break; } } first=0; for (i=0; i<=(int)flag; i++) { if ((oldhis[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d \n",i-offset,oldhis[i]); printf("i=%d, h[i]=%d \n",i-offset,oldhis[i]); } printf("\n"); fprintf(Outfp,"\n"); // // output histogram of k values (for primary one-jump attachment points) // printf("primary one-jump attachment points, u (or element several hops away from u) not equal to locmin (histoe) \n"); fprintf(Outfp,"primary one-jump attachment points, u (or element several hops away from u) not equal to locmin (histoe) \n"); flag=99; for (i=99; i>0; i--) { if (histoe[i]==0) continue; else { flag=i; break; } } first=0; for (i=0; i<=(int)flag; i++) { if ((histoe[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d \n",i-offset,histoe[i]); printf("i=%d, h[i]=%d \n",i-offset,histoe[i]); } printf("\n"); fprintf(Outfp,"\n"); // // output histogram of odd sum plus hops minus number of evens // printf("odd sum minus jumps plus hops minus even sum \n"); fprintf(Outfp,"odd sum minus jumps plus hops minus even sum (global, histoh) \n"); flag=199; for (i=199; i>0; i--) { if (histoh[i]==0) continue; else { flag=i; break; } } first=0; for (i=0; i<=(int)flag; i++) { if ((histoh[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset1,histoh[i]); printf("i=%d, h[i]=%d \n",i-offset1,histoh[i]); } printf("\n"); fprintf(Outfp,"\n"); // // output histogram of odd sum plus hops minus number of evens // printf("number of odds minus jumps plus hops minus number of evens (local) \n"); fprintf(Outfp,"number of odds minus jumps plus hops minus number of evens (local, histoi) \n"); flag=99; for (i=99; i>0; i--) { if (histoi[i]==0) continue; else { flag=i; break; } } first=0; for (i=0; i<=(int)flag; i++) { if ((histoi[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset,histoi[i]); printf("i=%d, h[i]=%d \n",i-offset,histoi[i]); } printf("\n"); fprintf(Outfp,"\n"); // // output histogram of j minus number of evens plus number of hops // printf("j minus number of evens plus number of hops minus jumps \n"); fprintf(Outfp,"j minus number of evens plus number of hops minus jumps (local, histox) \n"); flag=99; for (i=99; i>0; i--) { if (histox[i]==0) continue; else { flag=i; break; } } first=0; for (i=0; i<=(int)flag; i++) { if ((histox[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset,histox[i]); printf("i=%d, h[i]=%d \n",i-offset,histox[i]); } printf("\n"); fprintf(Outfp,"\n"); // // output histogram of j minus number of evens (local) // printf("j minus number of evens (local) \n"); fprintf(Outfp,"j minus number of evens (local, histoy) \n"); flag=99; for (i=99; i>0; i--) { if (histoy[i]==0) continue; else { flag=i; break; } } first=0; sum=0; tempi=0; for (i=0; i<=(int)flag; i++) { if ((histoy[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset,histoy[i]); printf("i=%d, h[i]=%d \n",i-offset,histoy[i]); sum=sum+histoy[i]*(i-offset); tempi=tempi+histoy[i]; } mean=(double)sum/(double)tempi; first=0; var=0.0; for (i=0; i<=(int)flag; i++) { if ((histoy[i]==0)&&(first==0)) continue; first=1; tempf=(double)i-(double)offset-mean; var=var+tempf*tempf*(double)histoy[i]; } var=var/(double)(tempi-1); std=sqrt(var); printf("mean=%e, standard deviation=%e \n",mean,std); fprintf(Outfp,"mean=%e, standard deviation=%e \n",mean,std); // // output histogram of j minus number of evens // printf("\n"); fprintf(Outfp,"\n"); printf("j minus number of evens (global) \n"); fprintf(Outfp,"j minus number of evens (global, histov) \n"); flag=199; for (i=199; i>0; i--) { if (histov[i]==0) continue; else { flag=i; break; } } first=0; for (i=0; i<=(int)flag; i++) { if ((histov[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset2,histov[i]); printf("i=%d, h[i]=%d \n",i-offset2,histov[i]); } // // output histogram of hops minus number of jumps // printf("\n"); fprintf(Outfp,"\n"); printf("hops minus number of jumps (local) \n"); fprintf(Outfp,"hops minus number of jumps (local, histoz) \n"); flag=99; for (i=99; i>0; i--) { if (histoz[i]==0) continue; else { flag=i; break; } } first=0; for (i=0; i<=(int)flag; i++) { if ((histoz[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset,histoz[i]); printf("i=%d, h[i]=%d \n",i-offset,histoz[i]); } // // output histogram of hops minus number of jumps // printf("\n"); fprintf(Outfp,"\n"); printf("hops minus number of jumps \n"); fprintf(Outfp,"hops minus number of jumps (global, histow) \n"); flag=199; for (i=199; i>0; i--) { if (histow[i]==0) continue; else { flag=i; break; } } first=0; for (i=0; i<=(int)flag; i++) { if ((histow[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset1,histow[i]); printf("i=%d, h[i]=%d \n",i-offset1,histow[i]); } printf("\n"); fprintf(Outfp,"\n"); // // output histogram of odds minus evens (global) // printf("sum of odds minus sum of evens (global) \n"); fprintf(Outfp,"sum of odds minus sum of evens (global, histos) \n"); flag=199; for (i=199; i>0; i--) { if (histos[i]==0) continue; else { flag=i; break; } } first=0; for (i=0; i<=(int)flag; i++) { if ((histos[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset1,histos[i]); printf("i=%d, h[i]=%d \n",i-offset1,histos[i]); } printf("\n"); fprintf(Outfp,"\n"); // // output histogram of odds minus evens (global, L=K) // printf("sum of odds minus sum of evens (global, L=K) \n"); fprintf(Outfp,"sum of odds minus sum of evens (global, L=K, histof) \n"); flag=199; for (i=199; i>0; i--) { if (histof[i]==0) continue; else { flag=i; break; } } first=0; for (i=0; i<=(int)flag; i++) { if ((histof[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset1,histof[i]); printf("i=%d, h[i]=%d \n",i-offset1,histof[i]); } printf("\n"); fprintf(Outfp,"\n"); // // output histogram of odds minus evens (local) // printf("odds minus evens (local) \n"); fprintf(Outfp,"odds minus evens (local, histor) \n"); flag=99; for (i=99; i>0; i--) { if (histor[i]==0) continue; else { flag=i; break; } } first=0; for (i=0; i<=(int)flag; i++) { if ((histor[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset,histor[i]); printf("i=%d, h[i]=%d \n",i-offset,histor[i]); } // // output histogram of j minus evens (continued-fraction convergents) // printf("\n"); fprintf(Outfp,"\n"); printf("j minus evens (convergents) \n"); fprintf(Outfp,"j minus evens (convergents, local, histot) \n"); flag=29; for (i=29; i>0; i--) { if (histot[i]==0) continue; else { flag=i; break; } } tempi=0; sum=0; first=0; for (i=0; i<=(int)flag; i++) { if ((histot[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset4,histot[i]); printf("i=%d, h[i]=%d \n",i-offset4,histot[i]); sum=sum+histot[i]*(i-offset4); tempi=tempi+histot[i]; } mean=(double)sum/(double)tempi; printf("n=%d, sum=%d, mean=%e \n",tempi,sum,mean); fprintf(Outfp,"n=%d, sum=%d, mean=%e \n",tempi,sum,mean); // // output histogram of j minus evens (continued-fraction convergents) // printf("\n"); fprintf(Outfp,"\n"); printf("j minus evens (convergents, global) \n"); fprintf(Outfp,"j minus evens (convergents, global, histou) \n"); flag=29; for (i=29; i>0; i--) { if (histou[i]==0) continue; else { flag=i; break; } } first=0; for (i=0; i<=(int)flag; i++) { if ((histou[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset4,histou[i]); printf("i=%d, h[i]=%d \n",i-offset4,histou[i]); } // // output histogram of j minus evens (continued-fraction convergents) // printf("\n"); fprintf(Outfp,"\n"); printf("j minus evens (convergents, evens equal odds) \n"); fprintf(Outfp,"j minus evens (convergents, evens equal odds, local, histoa) \n"); flag=29; for (i=29; i>0; i--) { if (histoa[i]==0) flag=flag-1; else break; } sum=0; tempi=0; first=0; for (i=0; i<=(int)flag; i++) { if ((histoa[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset4,histoa[i]); printf("i=%d, h[i]=%d \n",i-offset4,histoa[i]); sum=sum+histoa[i]*(i-offset4); tempi=tempi+histoa[i]; } mean=(double)sum/(double)tempi; printf("n=%d, sum=%d, mean=%e \n",tempi,sum,mean); fprintf(Outfp,"n=%d, sum=%d, mean=%e \n",tempi,sum,mean); // // output histogram of j minus evens (continued-fraction convergents) // printf("\n"); fprintf(Outfp,"\n"); printf("j minus evens (convergents, evens equal odds, global) \n"); fprintf(Outfp,"j minus evens (convergents, evens equal odds, global, histob) \n"); flag=29; for (i=29; i>0; i--) { if (histob[i]==0) flag=flag-1; else break; } first=0; for (i=0; i<=(int)flag; i++) { if ((histob[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset5,histob[i]); printf("i=%d, h[i]=%d \n",i-offset5,histob[i]); } // // output histogram // printf("\n"); fprintf(Outfp,"\n"); printf("3*log(c)-a \n"); fprintf(Outfp,"3*log(c)-a \n" ); flag=399; for (i=399; i>0; i--) { if (histod[i]==0) flag=flag-1; else break; } first=0; for (i=0; i<=(int)flag; i++) { if ((histod[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset6,histod[i]); printf("i=%d, h[i]=%d \n",i-offset6,histod[i]); } // // output histogram // printf("\n"); fprintf(Outfp,"\n"); printf("3*log(c)-a ((L,K) in table) \n"); fprintf(Outfp,"3*log(c)-a ((L,K) in table)\n" ); flag=399; for (i=399; i>0; i--) { if (histodd[i]==0) flag=flag-1; else break; } first=0; for (i=0; i<=(int)flag; i++) { if ((histodd[i]==0)&&(first==0)) continue; first=1; fprintf(Outfp,"i=%d, h[i]=%d, \n",i-offset6,histodd[i]); printf("i=%d, h[i]=%d \n",i-offset6,histodd[i]); } printf("\n"); fprintf(Outfp,"\n"); printf("cycle count=%d, multiple-jump count=%d, two-jump count=%d, non-adjacent count=%d \n",cyccnt,mcount,twojmp,jmphop); printf("total jumps (in multiple-jumps)=%d, total hops (in multiple-jumps)=%d \n",glojmp,glohop); printf("hop/hop=%d, jump/hop=%d, hop/jump=%d, jump/jump=%d \n",twojmp0,twojmp1,twojmp2,twojmp3); fprintf(Outfp,"cycle count=%d, multiple-jump count=%d, two-jump count=%d, non=adjacent count=%d \n",cyccnt,mcount,twojmp,jmphop); fprintf(Outfp,"total jumps (in multiple-jumps)=%d, total hops (in multiple-jumps)=%d \n",glojmp,glohop); fprintf(Outfp,"hop/hop=%d, jump/hop=%d, hop/jump=%d, jump/jump=%d \n",twojmp0,twojmp1,twojmp2,twojmp3); printf("primary attachment points=%d \n",primary); fprintf(Outfp,"primary attachment points=%d \n",primary); printf("bad t chains=%d, bad u chains=%d, bad t-u chains=%d \n",badcnt,badcntu,badtucnt); fprintf(Outfp,"bad t chains=%d, bad u chains=%d, bad t-u chains=%d \n",badcnt,badcntu,badtucnt); printf("bad comparisons=%d, other comparisons=%d, maximum=%e \n",badcomp,compcnt,maxcmp); fprintf(Outfp,"bad comparisons=%d, other comparisons=%d, maximum=%e \n",badcomp,compcnt,maxcmp); printf("cycle count=%d, cycle count=%d (convergents)\n",cyccntu,cyccntb); fprintf(Outfp,"cycle count=%d, cycle count=%d (convergents)\n",cyccntu,cyccntb); printf("evens equal odds, bad comparison count=%d \n",equcnt); fprintf(Outfp,"evens equal odds, bad comparison count=%d \n",equcnt); printf("maximum ratio=%e, minimum ratio=%e, count=%d, c=%d, k=%d \n",maxminrat,minmaxrat,lamcnt,savec,ksave); fprintf(Outfp,"maximum ratio=%e, minimum ratio=%e, count=%d, c=%d, k=%d \n",maxminrat,minmaxrat,lamcnt,savec,ksave); printf("maximum ratio=%e, minimum ratio=%e, count=%d \n",maxminratc,minmaxratc,lamcntc); fprintf(Outfp,"maximum ratio=%e, minimum ratio=%e, count=%d \n",maxminratc,minmaxratc,lamcntc); printf("flubs=%d, maximum ratio=%e, flubs=%d, pcount=%d \n",flubx,maxdiff,flubs,pcount); fprintf(Outfp,"flubs=%d, maximum ratio=%e, flubs=%d, pcount=%d \n",flubx,maxdiff,flubs,pcount); printf("\n"); fprintf(Outfp,"\n"); printf("histogram of chain counts \n"); fprintf(Outfp,"histogram of chain counts \n"); for (i=0; i<40; i++) { printf("i=%d, count=%d \n",i,chhist[i]); fprintf(Outfp,"i=%d, count=%d \n",i,chhist[i]); } printf("\n"); fprintf(Outfp,"\n"); printf("powers for specified a value \n"); fprintf(Outfp,"powers for specified a value \n"); for (i=0; i<40; i++) { printf("i=%d, counts=%d, %d, %d \n",i,d1hist[i],d2hist[i],d3hist[i]); fprintf(Outfp,"i=%d, counts=%d, %d, %d \n",i,d1hist[i],d2hist[i],d3hist[i]); } printf("\n"); fprintf(Outfp,"\n"); for (i=0; i<27; i++) { printf("i=%d, c=%d, c=%d, c=%d \n",i,concov[3*i],concov[3*i+1],concov[3*i+2]); fprintf(Outfp,"i=%d, c=%d, c=%d, c=%d \n",i,concov[3*i],concov[3*i+1],concov[3*i+2]); } printf("\n"); fprintf(Outfp,"\n"); for (i=0; i<27; i++) { printf("i=%d, c=%d, c=%d, c=%d \n",i,concove[3*i],concove[3*i+1],concove[3*i+2]); fprintf(Outfp,"i=%d, c=%d, c=%d, c=%d \n",i,concove[3*i],concove[3*i+1],concove[3*i+2]); } printf("\n"); fprintf(Outfp,"\n"); printf("count=%d \n",outklind); fprintf(Outfp,"count=%d \n",outklind); wrap=0; for (i=0; i<outklind; i++) { printf("%d,%d,",outkl[2*i],outkl[2*i+1]); fprintf(Outfp,"%d,%d,",outkl[2*i],outkl[2*i+1]); wrap=wrap+1; if (wrap==10) { wrap=0; printf("\n"); fprintf(Outfp,"\n"); } } printf("\n"); fprintf(Outfp,"\n"); wrap=0; for (i=0; i<200; i++) { printf("%d,",outcnt[i]); fprintf(Outfp,"%d,",outcnt[i]); wrap=wrap+1; if (wrap==20) { wrap=0; printf("\n"); fprintf(Outfp,"\n"); } } zskip: fclose(Outfp); return(0); }