// c=5003 /* c=5137, count=8, L=31, K=53, a=5 c=5137, count=8, L=31, K=53, a=6 c=5137, count=7, L=31, K=53, a=5 c=5137, count=9, L=31, K=53, a=7 c=5137, count=17, L=62, K=106, a=15 c=5137, count=10, L=31, K=53, a=8 c=5137, count=9, L=31, K=53, a=8 c=5137, count=11, L=31, K=53, a=8 c=5137, count=9, L=31, K=53, a=7 c=5137, count=9, L=31, K=53, a=9 c=5137, count=7, L=31, K=53, a=6 c=5137, count=8, L=31, K=53, a=4 c=5137, count=16, L=62, K=106, a=15 c=5137, count=9, L=31, K=53, a=7 c=5137, count=7, L=31, K=53, a=7 c=5137, count=11, L=31, K=53, a=10 c=5137, count=8, L=31, K=53, a=8 c=5137, count=8, L=31, K=53, a=7 c=5137, count=10, L=31, K=53, a=10 c=5137, count=10, L=31, K=53, a=9 c=5137, count=9, L=31, K=53, a=9 c=5137, count=11, L=31, K=53, a=9 c=5137, count=9, L=31, K=53, a=8 c=5137, count=10, L=31, K=53, a=8 c=5137, count=7, L=31, K=53, a=7 c=5137, count=8, L=31, K=53, a=6 c=5137, count=10, L=31, K=53, a=9 c=5137, count=8, L=31, K=53, a=7 c=5137, count=8, L=31, K=53, a=6 c=5137, count=8, L=31, K=53, a=6 c=5137, count=10, L=31, K=53, a=7 c=5137, count=14, L=62, K=106, a=14 c=5137, count=9, L=31, K=53, a=8 c=5137, count=8, L=31, K=53, a=6 c=5137, count=8, L=31, K=53, a=7 c=5137, count=10, L=31, K=53, a=8 c=5137, k=0xffffffff 0x6fa35098 c=5137, k=0xffffffff 0x10922e5e c=5137, k=0xfffffffd 0x5630ae4a c=5137, k=0xffffffff 0x00524660 c=5137, k=0xffffffff 0x6d8d6c22 c=5137, k=0xffffffff 0x75d815a4 c=5137, k=0xfffffffa 0x9bfe48c6 c=5137, k=0xfffffffc 0xf7bf157a c=5137, k=0xfffffffe 0xdce7ad12 c=5137, k=0xffffffff 0x0b2850de c=5137, k=0xfffffffe 0x46c97c3a c=5137, k=0xffffffff 0x5a8b939a c=5137, k=0xffffffff 0x4f514348 c=5137, k=0xffffffff 0x537bff30 c=5137, k=0xfffffffc 0x137ec610 c=5137, k=0xffffffff 0x04dfb184 c=5137, k=0xffffffff 0x7b9565e2 c=5137, k=0xfffffffe 0xc1d86a28 c=5137, k=0xfffffffd 0x14a8ea0e c=5137, k=0xfffffffd 0x896e9d50 c=5137, k=0xffffffff 0x625ba754 c=5137, k=0xfffffffe 0xe47232fa c=5137, k=0xffffffff 0x5727200c c=5137, k=0xfffffffd 0x97ef9100 c=5137, k=0xffffffff 0x65fbe440 c=5137, k=0xffffffff 0x196886e4 c=5137, k=0xffffffff 0x5bd6ff3c c=5137, k=0xffffffff 0x642d566e c=5137, k=0xffffffff 0x49cdb8fe c=5137, k=0xfffffffd 0x8be46252 c=5137, k=0xfffffffe 0xf7046baa c=5137, k=0xffffffff 0x65eec8a2 c=5137, k=0xffffffff 0x4fd563be c=5137, k=0xfffffffd 0xcba20e18 c=5137, k=0xffffffff 0x72e88386 c=5137, k=0xffffffff 0x312420aa c=5137, k=0xffffffff 0x2bae5f92 c=5137, k=0xffffffff 0x6576451a c=5137, k=0xffffffff 0x56bc28b4 c=5137, k=0xffffffff 0x5bcc665e c=5137, k=0xfffffffe 0x2c6977c2 c=5137, k=0xffffffff 0x7c7db276 c=5137, k=0xffffffff 0x461a371c c=5137, k=0xfffffffe 0xf8b9cb42 c=5137, k=0xfffffffd 0x3f757366 c=5137, k=0xfffffffe 0x73b21d74 c=5137, k=0xfffffffe 0x61c6bdb6 c=5137, k=0xffffffff 0x7ceff1dc c=5137, k=0xfffffffe 0x1da422e2 c=5137, k=0xfffffffe 0xfe73cb64 c=5137, k=0xffffffff 0x60c9761c c=5137, k=0xfffffffe 0x89b091dc c=5137, k=0xffffffff 0x4421b2b6 c=5137, k=0xfffffffe 0xdab7522a c=5137, k=0xffffffff 0x296c412e c=5137, k=0xffffffff 0x3451e938 c=5137, k=0xfffffffe 0xa92c4a22 c=5137, k=0xfffffffe 0xb1a84b54 c=5137, k=0xffffffff 0x7d17cdde c=5137, k=0xfffffffd 0x8af091f0 c=5137, k=0xffffffff 0x62bc247c c=5137, k=0xffffffff 0x68777cc0 c=5137, k=0xffffffff 0x559a1182 c=5137, k=0xfffffff8 0x9bec7fdc c=5137, k=0xfffffffd 0xa955eb58 c=5137, k=0xffffffff 0x6a557ad6 */ int sinp[9316]={ 12542,5954,6476,5900,39416,9854,4946,38930,31280,7820,10526,5198,3200,800,200,50, 7196,2600,650,32072,8018,118796,69710,27392,6848,1712,428,5684,11570,20246,6218,18032, 4508,2096,524,23828,47948,14648,3662,2624,656,164,18194,18158,8060,2762,13658,18332, 4688,1172,10904,2726,91904,22976,5744,1436,1520,380,1322,19004,4814,3056,764,1394, 4184,1046,26942,11354,20588,5084,2204,1664,416,104,26,5408,1352,338,68576,17144, 4286,2858,21920,5480,1370,9584,2396,1700,30182,15578,85748,42116,14972,4058,52052,50678, 16442,19814,27698,20318,8870,8276,24350,10382,5144,1286,55052,13612,11686,38686,19918,14332, 11182,9418,6976,1744,436,9742,8608,2152,538,33178,9892,3106,2416,604,3298,2488, 622,3478,8878,8122,4474,3448,862,4222,32404,25132,16546,7456,1864,466,1426,1786, 2692,1756,3622,18784,4696,1174,6934,11794,5674,49186,19696,4924,4636,4432,1108,34312, 8578,4468,2818,2308,1684,4612,2116,1648,412,3244,7312,1828,1594,2638,6826,22468, 5464,1366,7096,1774,4126,5338,12172,10432,2608,652,56668,19066,7552,1888,472,118, 14044,7078,29938,12478,66442,32566,13996,11848,2962,2362,2854,52834,21064,5266,3226,3574, 17986,7996,5284,2242,2092,37756,104296,26074,190642,72742,102484,215104,53776,13444,3772,4546, 2956,14692,4006,24106,75928,18982,40654,25996,21214,41926,4702,5248,1312,328,82,1282, 1732,1576,394,4366,5584,1396,2386,2146,2056,514,1444,1522,1822,1620614,914726,517664, 129416,32354,28100,25724,21092,55598,48200,12050,27302,18488,4622,9848,2462,21188,8948,2930, 30812,24446,41114,16670,29282,12398,22874,9830,8660,2876,19244,83504,20876,9002,4628,2120, 530,11702,18866,20000,5000,1250,62012,50866,31744,7936,1984,496,124,1276,1492,6580, 125434,97216,24304,6076,2392,598,13444,37792,9448,2362,13168,3292,1870,1954,4426,22294, 53020,11194,24346,62740,20428,8830,4564,7876,5200,1300,5848,1462,5158,6964,24058,48214, 30184,7546,20248,5062,3616,904,226,13354,17218,14416,3604,6856,1714,4096,1024,256, 64,16,4,36758,15038,57878,22958,7742,7112,1778,17126,7676,6164,4868,81128,20282, 93518,28496,7124,5138,26288,6572,2486,2186,4364,2072,518,1448,362,3338,5012,4544, 1136,284,2234,4664,1166,2522,217358,63326,127586,113606,43856,10964,6218,6632,1658,4304, 1076,27908,51122,74888,18722,21752,5438,25478,10808,2702,2954,4796,204164,501596,55802,27146, 18404,58124,12152,3038,16244,10052,10196,6002,16856,4214,2834,21914,20528,5132,2216,554, 3446,2546,18272,4568,1142,1682,33038,11486,15842,19322,11756,3458,156644,2896,724,1390, 11950,59308,19816,4954,3112,778,1546,1834,1942,4228,9412,6532,8860,38680,9670,20428, 12040,3010,14362,6640,1660,6658,47428,65236,13486,33802,13930,6478,44512,11128,2782,11554, 8320,2080,520,130,15928,3982,24100,5584,1396,1516,3562,2590,240586,91474,27922,10048, 2512,628,1372,9472,2368,592,148,1282,23128,5782,6388,2452,1714,3262,8710,103408, 25852,16864,4216,1054,17512,4378,102724,1014784,253696,63424,15856,3964,7630,34306,81112,20278, 14542,597244,257920,64480,16120,4030,9358,231136,57784,14446,28474,11932,43054,38578,11038,113038, 77542,67246,127276,38932,8554,4462,15838,327688,81922,178546,62098,19660,6556,45482,23738,7910, 20210,8834,4568,1142,6926,7034,19184,4796,8186,49886,19034,7550,6794,12380,6620,5000, 1250,1724,7214,7196,5162,6728,1682,1886,7862,12596,3968,992,248,62,19400,4850, 3074,2408,602,2366,7496,1874,1958,20876,957734,2068646,1972502,1061630,451484,130118,298718,128510, 57824,14456,3614,23288,5822,5804,20156,13046,16970,207350,180914,69098,177188,34478,22532,5480, 1370,2582,6776,1694,12866,6080,1520,380,4022,9356,37142,43664,10916,3302,14378,10616, 2654,8348,5486,6224,1556,21154,36976,9244,6502,3694,16888,4222,16276,16438,7420,11434, 8434,28210,29668,61408,15352,3838,6826,6490,6790,3802,5278,3682,10558,5104,1276,9976, 2494,3430,2542,36244,14860,4042,13522,17374,7084,2584,646,1498,3982,6232,1558,1840, 460,1342,3646,10378,32926,11458,204160,51040,12760,3190,2452,12556,3610,5170,24356,9992, 2498,54488,13622,94808,23702,41024,10256,2564,4154,37946,134174,51572,194540,69644,16634,48152, 12038,67610,95780,30080,7520,1880,470,4754,5816,1454,1802,7490,14306,16178,12242,10028, 6260,35030,19334,1052228,339608,84902,26078,11036,3326,2504,626,3494,3182,2450,4520,1130, 50198,49394,30926,12854,30992,7748,9128,2282,7178,12026,39404,20558,8966,20234,23042,13334, 23150,9938,8732,2894,2342,2858,125102,48170,1485254,316202,2678,14150,9344,2336,584,146, 3224,806,2426,27428,10856,2714,13646,6374,3992,998,2480,620,112646,41258,113438,43796, 24446,10424,2606,2234,198662,68474,111182,42950,11966,5744,1436,1526,9056,2264,566,17870, 7958,12044,23960,5990,3884,5288,1322,49784,12446,5924,4808,1202,3818,8150,7994,181586, 105284,66530,57074,35246,14474,18182,15932,4244,7760,1940,6788,10346,16958,7616,1904,476, 1346,59924,31250,20720,5180,2228,25580,16184,4046,2774,5726,3404,12416,3104,776,194, 4028,2012,1634,100814,39062,22304,5576,1394,3926,6212,8642,51824,12956,3686,3236,4052, 7016,1754,10580,10198,23122,9928,2482,2188,10900,4300,7786,4390,9676,10054,49420,28558, 30988,10942,9298,4744,1186,1702,7408,1852,3664,916,3004,3988,3328,832,208,52, 8110,7036,5122,3178,3094,29818,14110,11080,2770,2296,574,3466,42076,12490,5542,10648, 2662,8218,13294,18352,4588,31606,76582,70588,22996,5434,6850,3826,2692,1762,1918,4222, 5518,55198,34192,8548,2860,10276,3184,796,17668,4570,43048,10762,23446,31174,60436,29230, 15946,17866,6676,171352,42838,64432,16108,31870,21070,31276,56980,7216,1804,81316,16504,4126, 5464,1366,11944,2986,3040,760,190,3250,2476,11782,13192,3298,2494,4546,2962,2368, 592,148,17614,39400,9850,7792,1948,19558,22474,7648,1912,478,3412,2680,670,3520, 880,220,12022,109954,42490,43912,10978,5374,6166,101338,565012,84718,166006,331732,48850,19576, 4894,5896,1474,1810,1936,484,1348,1510,7246,18154,7306,7930,12034,5770,7444,6796, -25874,-47348,29600,7400,1850,1952,488,122,1304,326,7370,4022,5408,1352,338,3494, 51302,30620,10154,5066,3158,4922,3104,776,194,18692,8504,2126,12914,5834,3446,5084, 27242,11474,5330,4034,31538,11072,2768,692,1388,3536,884,1424,356,2252,6806,6974, 88244,17804,6788,5438,9182,13724,18908,27164,21818,9440,2360,590,10970,5372,14096,3524, 256994,74936,18734,79496,19874,65918,72440,18110,29870,381302,217628,112214,66266,26108,21692,15128, 3782,5168,1292,3890,3296,824,206,10484,3224,806,12050,11342,24578,14930,9962,4994, 6668,5024,1256,314,1376,344,86,3194,2456,614,23636,5690,3392,848,212,1298, 45152,11288,2822,4808,1202,2540,3860,1982,19034,8396,8264,2066,21608,5402,3284,1874, 4304,1076,1460,1532,9056,2264,566,3464,866,8648,2162,2810,2312,578,4862,20168, 5042,3620,41588,15668,4196,2792,698,1520,380,5654,6326,6704,1676,6968,1742,12428, 11486,13430,10700,10070,8810,4562,3872,968,242,2270,7892,2738,2972,12104,3026,3548, 21514,37456,9364,17248,4312,1078,2506,11308,7414,4288,1072,268,8188,2794,21904,5476, 4774,10546,8068,5416,1354,112624,28156,6538,18502,30976,7744,1936,484,125908,136114,61042, 18724,20176,5044,5764,4768,1192,298,6352,1588,27394,18556,4738,5812,7582,4102,19852, 35512,8878,4588,2848,712,178,3694,2644,122116,37492,21796,21634,15316,31138,20662,8014, 4264,1066,29194,47176,11794,74698,79834,43456,10864,2716,1768,442,25036,9844,10132,13738, 99178,153328,38332,8446,4426,77044,38482,24538,17212,4486,10942,5362,31948,11302,12436,23506, 21562,24172,5602,6298,27016,6754,6946,7054,3904,976,244,6082,6568,1642,60136,15034, 18664,4666,9916,3118,2428,1714,4342,3424,856,214,2956,36484,13408,3352,838,19132, 4846,3076,4012,3334,28318,11878,9574,8602,73726,28906,71476,325168,81292,79252,36166,37066, 52774,33286,23134,9934,4984,1246,1726,1906,4576,1144,286,1366,3658,3564454,2551264,637816, 159454,61054,24154,21028,2236,1678,1888,472,118,3166,2446,2176,544,136,34,2416, 604,1372,1516,1282,3868,1984,496,124,2254,2104,526,1456,364,1552,388,3256, 814,1564,5632,1408,352,88,22,96218,57272,14318,7388,10040,2510,9698,35024,8756, 5612,2312,578,13820,4148,4316,7442,23630,24026,16664,4166,2822,2318,204152,51038,8684, 2888,722,26924,6308,10916,15062,6908,3176,794,3596,1934,15260,12938,9080,2270,3392, 848,212,282884,189248,47312,11828,6476,2474,8258,105008,26252,6182,3578,5162,20714,190994, 3824,956,3014,2390,2156,1664,416,104,26,3164,5234,10400,2600,650,3896,974, 8726,4532,4424,1106,9458,13964,3878,2714,4676,31328,7832,1958,1994,4796,26954,746504, 186626,246434,1232018,785384,196346,113594,67046,26402,77282,163328,40832,10208,2552,638,2384,596, 1345766,505922,1069718,402404,175748,92348,17384,4346,5594,6296,1574,1850,4190,11498,27698,29354, 25268,10256,2564,11858,381218,1253876,355802,203288,50822,20318,6254,8846,144454,84406,39232,9808, 2452,1720,430,6022,6538,3712,928,232,58,1282,2566,4594,11020,6250,3604,1936, 484,8266,4360,1090,2512,628,1378,3664,916,1432,358,3352,838,3622,5188,10900, 3304,826,1570,9100,5710,10804,3286,14422,30322,21736,5434,3298,3610,2614,4726,5284, 9544,2386,15394,17014,44986,18130,43186,82894,75928,18982,13828,4150,5374,246514,164110,3442, 14728,3682,18310,13450,6304,1576,394,1408,352,88,22,6292,2440,610,6574,9910, 7804,15178,6952,1738,1912,478,46540,16240,4060,11812,7060,2584,646,3514,2578,5656, 1414,3946,2740,1774,11920,2980,5158,6052,5644,4738,3538,5806,9424,2356,1702,4108, 4306,5608,1402,1786,1930,1984,496,124,10318,14692,31864,7966,48874,19588,4960,1240, 310,3754,2668,4186,2830,8374,7156,2602,2236,18742,11530,5584,1396,1522,9076,2962, 5818,58874,105248,26312,6578,3728,932,1436,4208,1052,3848,962,1622,19712,4928,1232, 308,13988,3884,48872,12218,13088,3272,818,1568,392,98,1298,1748,12044,11072,2768, 692,4718,9686,26852,6296,1574,47108,10094,34562,14222,9626,7736,1934,4442,6446,33986, 14006,27974,29594,14054,14648,3662,73454,62984,15746,7166,7184,1796,1598,4052,3344,836, 1418,2606,31748,7214,44012,426494,243056,60764,87536,21884,9308,59078,55838,31982,46328,11582, 9668,3074,2414,8228,2804,19598,11894,27506,11576,2894,8606,7994,13178,3452,4124,4496, 1124,1472,368,92,35444,19334,22304,5576,1394,1784,446,3404,18524,48386,19406,8852, 22376,5594,6932,3182,8714,4658,3008,752,188,3206,8696,2174,4376,1094,6914,3854, 5252,2246,7886,6476,16642,16288,4072,1018,72178,101602,91720,22930,138538,81082,37834,24436, 8782,4678,3016,754,11206,5464,1366,1774,3292,185230,54304,13576,3394,32140,7288,1822, 10744,2686,5542,3340,1888,472,118,1306,12556,3616,904,226,6184,1546,4024,1006, 3130,4948,4546,14212,6730,6940,3184,796,2320,580,6238,12070,5788,3022,3058,14122, 11098,13726,62722,45448,11362,15580,13690,8314,10594,14932,7354,12260,17144,4286,2870,6176, 1544,386,3374,2528,632,158,1322,20864,5216,1304,326,4862,3086,2420,6158,3572, 11600,2900,10334,5138,5798,11798,5528,1382,14768,3692,16010,164780,25382,19406,8540,2864, 716,13796,23264,5816,1454,1808,452,3284,12338,14516,12122,16226,12284,3566,2600,650, 464642,264518,67556,43388,9398,22544,5636,4742,6578,9416,2354,8198,8036,10550,40274,40796, 8912,2228,6938,11852,10172,3170,4940,9692,3080,770,3590,6092,25784,6446,3680,920, 230,60878,24092,5780,649430,184862,70586,93638,52748,15704,3926,3314,12116,14708,9074,10516, 28942,19438,14092,70738,27790,18790,17284,4504,1126,10030,8800,2200,550,10960,2740,2596, 1750,10888,2722,2284,6964,3190,8692,3838,56158,64636,17266,7738,33316,7510,17708,7370, 4028,10880,2720,680,170,1328,332,3254,54698,21776,5444,2978,3050,2408,602,1490, 23594,10112,2528,632,158,10472,2618,2246,4424,1106,14522,6710,1900144,475036,90334,35140, 145174,65830,20728,5182,3208,802,300370,172120,43030,22738,15952,3988,7690,12496,3124,63202, 46714,361606,70462,27688,6922,11848,2962,4828,2170,198658,350464,87616,21904,5476,4702,3028, 259114,5350,3718,36820,42358,123952,30988,71950,28246,1261540,357970,204520,51130,113746,67144,16786, 12604,3628,20632,5158,3664,916,6394,42124,12316,3574,16870,6958,3874,36958,15124,12388, 6646,19786,22702,9778,8662,7444,9148,2980,4000,1000,250,17398,29992,7498,12334,5890, 10048,2512,628,33274,121036,19234,32356,12262,5662,3388,1900,7822,4198,3394,5068,2926, 2362,28408,7102,3928,982,5014,6700,5998,3514,23350,22918,7084,5824,1456,364,16426, 33286,9946,22864,5716,17734,9712,2428,1720,430,1426,3964,2008,502,13954,7570,7420, 2656,664,166,2260,65630,32276,12242,25778,614972,154262,59114,36416,9104,2276,721730,106796, 21290,15140,63320,15830,7202,217262,70004,28874,19406,21566,27146,18434,44935364,16004720,4001180,4122920, 1030730,582950,219872,54968,13742,6080,1520,380,78914,72596,23582,129458,262460,55172,29288,7322, 6728,1682,53642,33338,157484,30794,20486,8948,17750,7922,121748,37406,74162,45002,28478,40520, 10130,64442,47504,11876,818672,204668,167204,198464,49616,12404,67430,26552,6638,4082,37928,9482, 8498,31610,38534,15716,68546,63848,15962,14834,107588,365654,138386,211772,38210,38252,8438,4430, 7058,61256,15314,29666,24548,22088,5522,55526,33554,233084,124112,31028,10184,2546,21620,131240, 32810,16094,11378,204140,39542,37604,121034,71246,23468,5666,52454,20936,5234,110084,76430,58502, 23204,24968,6242,62390,24662,10514,57596,26372,17138,75902,56180,24500,18110,22046,29450,19730, 39548,32258,33230,15428,41978,466094,133304,33326,11588,68222,51320,12830,38756,53480,13370,20666, 19802,62228,48686,15908,41186,31838,18020,35354,18554,28964,15890,24062,27902,25412,37064,9266, 26978,17186,40628,10994,44474,34868,39142,67174,7267672,1816918,1025182,871012,124702,111232,27808,6952, 1738,1918,17812,4606,8692,2896,724,1402,1792,448,112,28,10306,8938,4618,2998, 4852,2176,544,136,34,7396,3256,814,18244,13924,4174,26434,15742,20872,5218,28936, 7234,7642,4132,3364,10882,8152,2038,4312,1078,3772,7606,7444,2662,184456,46114,29266, 23644,5554,3778,6184,1546,1846,4204,4348,35794,16984,4246,2446,13384,3346,3634,3238, 8776,2194,8818,4696,1174,3826,3292,333424,83356,48544,12136,3034,2404,2554,2224,556, 3322,2512,628,1384,346,1396,1528,382,20728,5182,21358,131968,32992,8248,2062,12898, 100918,59932,48214,30286,57862,32938,13618,6046,11116,6292,1672,418,8416,2104,526,10954, 5374,9178,4708,2878,12664,3166,8686,45874,15118,29422,110098,26152,6538,3718,5146,3196, 8656,2164,37684,8332,5398,6202,3592,898,11068,10684,10522,5212,21646,3538,6778,3808, 952,238,26992,6748,23104,5776,1444,13228,6886,14686,18406,28828,79774,73324,23788,9856, 2464,616,154,1324,141094,73276,36928,9232,2308,5074,7264,1816,454,3832,958,6680, 1670,12410,5708,22130,9566,51938,20744,5186,3212,10514,5210,64298,57170,22706,9782,11972, 3512,878,3662,5228,7436,15002,8786,4562,2978,2384,596,36134,85310,120872,30218,17342, 610748,100622,59768,14942,56798,68078,41462,75212,133424,33356,48374,848378,240824,60206,37034,193736, 48434,19430,62516,9524,18836,12806,26504,6626,3752,938,44594,17990,26066,11042,5408,1352, 338,1394,1790,7166,38816,9704,2426,2900,23588,5690,3818,10574,9116,5732,2342,21158, 481886,202034,77030,245690,71318,66194,26090,24668,10106,5060,2216,554,14030,11060,4340,2828, 12086,13430,22688,5672,1418,5192,1298,1754,6218,2936,734,4232,1058,1664,416,104, 26,3584,896,224,56,14,3176,794,3098,94576,23644,18862,64006,25270,10744,2686, 2974,20266,15844,12706,40840,10210,55420,10012,286108,113242,66868,21976,5494,3328,832,208, 52,3184,796,12634,10276,16150,7324,26746,18214,8098,32092,13234,17188,28420,34990,24946, 27070,9832,2458,4552,1138,6982,3886,5944,1486,14920,3730,51532,10930,15244,4126,3802, 5308,21188920,5297230,6385666,4554058,1924888,481222,181726,219202,287728,71932,12334,16690,20104,5026,26260, 9184,2296,574,2380,1714,7468,2668,1768,442,3418,5092,8170,31594,26728,6682,6928, 1732,32152,8038,4282,5578,5998,7126,3940,7684,12640,3160,790,1564,8656,2164,3778, 15082,15016,3754,23668,9826,125404,31048,7762,10696,2674,8278,4372,101572,387844,374866,243004, 37762,68524,14116,50290,48454,19438,12796,4018,9412,82726,32290,59782,23686,10150,5074,8014, 77290,65770,37534,8260,50884,9667258,5441002,3884272,971068,214492,49840,12460,3604,12310,5884,3046, 2410,3266,7874,54932,28286,11876,6512,1628,1574,11696,2924,5216,1304,326,2312,578, 7106,73562,908996,379934,143744,35936,8984,2246,2852,3974,3338,30308,63356,13148,3734,32444, 7352,1838,1958,4346,14864,3716,7916,241844,16141886,6054476,641492,276656,69164,46346,870872,217718, 221012,99266,123404,19574,17636,8132,10898,9302,14054,25934,10994,9356,3536,884,10868,17186, 109796,34052,65138,39812,24926,10616,2654,2264,566,4838,102194,60656,15164,4112,1028,14612, 10412,11462,5444,4796,2168,542,1472,368,92,1286,2582,11204,8522,23468,20714,23504, 5876,11624,2906,41192,10298,23342,10022,5048,1262,1742,1922,21074,15026,61604,20498,14702, 6782,3812,4244,11966,5756,2348,55418,41666,42566,14192,3548,1934,1994,29822,12452,6674, 6926,3866,19322,120542,46472,11618,112928,28232,7058,7142,94298,1503212,138644,39824,9956,5972, 8546,18266,136868,6308,4946,5954,10508,3698,5252,8402,7898,58136,14534,56956,19192,4798, 5872,1468,3586,2614,27766,45454,18388,7048,1762,1930,2764,41158,40756,13198,8182,20668, 8986,8392,2098,2056,514,1462,26554,213094,319612,93064,23266,9994,5032,1258,6070,347476, 47704,11926,55630,27118,5044,5518,5752,1438,3982,5266,3244,55954,22252,24394,9082,13918, 11002,262210,99598,83092,13906,6484,12136,3034,5680,1420,6628,2512,628,34276,7696,1924, 1630,4090,27928,6982,11920,2980,1828,1612,60520,15130,10984,2746,16132,4294,9652,8920, 2230,17950,13270,38314,9532,5854,6466,3694,14890,6076,4882,3100,8014,7030,19210,7624, 1906,1984,496,124,3208,802,1570,1858,1966,71752,17938,7996,5422,10174,8896,2224, 556,17266,7744,1936,484,1360,340,14644,7690,4384,1096,274,1372,6652,5456,1364, 1526,4034,10730,5294,14036,3902,9326,22124,9398,8462,32816,8204,9344,2336,584,146, 2264,566,3494,5126,9992,2498,9758,19226,8480,2120,530,2372,8912,2228,1688,422, 3830,5330,3722,2666,2270,7232,1808,452,4700,22622,101360,25340,16724,4406,5654,6356, 2462,13316,19856,4964,3866,2720,680,170,1334,3926,5384,1346,8042,4286,9650,5000, 1250,5132,8372,2840,710,19370,8534,7976,1994,2018,7876,5392,1348,3556,5284,4768, 1192,298,10702,8848,2212,4120,1030,17344,4336,1084,1474,4006,7714,7516,2680,670, 1522,13996,4192,1048,262,3058,8686,4528,1132,12484,6688,1672,418,3412,2188,5068, 9784,2446,8110,4312,1078,3166,2458,5740,3544,886,9136,2284,6040,1510,5110,12214, 5326,3268,4096,1024,256,64,16,4,3178,10294,8812,3868,1996,4204,3382,3652, 4822,3580,1942,2770,17506,13024,3256,814,1576,394,2896,724,9358,4780,3844,4258, 5572,4744,1186,5446,6904,1726,1918,1990,3736,934,14428,3976,994,4960,1240,310, 3004,1834,12646,13408,3352,838,6784,1696,424,106,27712,6928,1732,3664,916,4366, 2908,1816,454,4798,3070,2422,16912,4228,22966,7108,5176,1294,1756,1600,400,100, 6490,11512,2878,2350,2152,538,6712,1678,1900,15616,3904,976,244,7864,1966,2008, 502,22850,138518,53216,13304,3326,8624,2156,1676,1586,6806,3824,956,2360,590,4916, 4562,9890,3332,19934,7832,1958,2006,2024,506,3464,866,33614,150176,37544,9386,7616, 1904,476,13778,17666,314282,136244,41498,26522,18098,135602,106244,117620,36260,21338,15182,13904, 3476,7856,1964,1640,410,3410,8918,4616,1154,18962,22040,5510,3338,35972,177884,148238, 67148,13862,6470,3698,21500,44468,15686,7154,16766,10988,13340,7424,1856,464,116,3212, 1874,7622,4130,15560,3890,8264,2066,7784,1946,4274,7652,14390,6668,2522,4598,2996, 4022,2780,18956,4826,5894,3482,5138,10376,2594,13616,3404,1910,1988,9574,8566,36634, 15010,6448,1612,3634,13264,3316,1894,4246,23902,40588,14596,8608,2152,538,1474,3712, 928,232,58,1294,78640,19660,8710,8080,2020,5038,10294,20968,5242,3238,5002,3148, 4066,3370,2536,634,1510,4030,60334,56950,115090,141334,74374,45016,11254,17842,13900,7090, 11734,61420,25042,19300,10984,2746,2302,21148,12496,3124,1858,3334,5056,1264,316,21526, 17512,4378,2914,3046,4894,21778,4036,2794,2320,580,2308,10348,7870,48850,644200,161050, 61666,19570,12868,3478,5116,21634,20068,7906,4450,4300,4390,5650,23512,5878,16990,31840, 7960,1990,106618,41254,26386,136330,52396,14710,162898,111274,43000,10750,37186,10786,5260,4660, 2146,2830,31678,153436,70774,119158,161608,40402,26590,43990,22216,5554,9526,17566,32092,19582, 32650,13516,6982,7108,3226,2482,11752,2938,2374,4516,14002,23794,14650,6766,34324,7708, 77848,19462,14128,3532,4174,8446,32812,15082,6928,1732,2470,4570,2986,2392,598,3910, 5380,9580,9790,144250,55366,38860,14110,34900,7816,1954,2776,694,7198,9538,4954,3130, 2446,10498,33136,8284,25738,10924,5962,3508,1930,1996,3742,8248,2062,25618,58084,16864, 4216,1054,59476,12424,3106,3100,18448,4612,11434,5560,1390,7216,1804,3688,922,1618, 9214,34270,53710,24610,9148,16126,47392,11848,2962,19906,6628,6010,3526,5164,29734,173104, 43276,15352,3838,24064,6016,1504,376,94,10456,2614,7582,16222,30868,7060,2596,10132, 3172,5170,48298,19384,4846,7754,4580,2132,2528,632,158,3272,818,1580,9782,95318, 130982,116564,18620,8420,2852,1808,452,1358,20336,5084,7730,4172,7808,1952,488,122, 42008,10502,53870,50576,12644,3644,4208,1052,6596,2510,13802,6110,6620,5066,32504,8126, 13550,8306,4388,2096,524,8702,8078,11876,3500,12560,3140,1862,15452,6920,1730,1922, 1994,4364,7190,13166,10534,5224,1306,7924,9274,16444,8086,4306,11116,3358,6034,17986, 21226,15124,7438,13342,10246,5116,25276,55768,13942,6502,3712,928,232,58,8686,4672, 1168,292,14458,15916,4258,8506,19498,14152,3538,12394,10156,3178,4972,2206,5548,2314, 4486,2956,1828,11506,368416,92104,23026,84784,21196,5248,1312,328,82,14944,3736,934, 1624,406,1426,12154,41314,29908,11596,3448,862,8788,5656,1414,1804,1612,1576,394, 3406,3664,916,3442,23332,25114,68584,17146,28108,6544,1636,185656,46414,12736,3184,796, 5818,5564,2318,2144,536,134,29324,33170,99518,38594,24896,6224,1556,11342,5528,1382, 5204,60872,15218,60824,15206,11036,3344,836,3422,2558,2234,7940,5420,6554,16220,4316, 2084,12422,54218,92036,29072,7268,5198,3224,806,8768,2192,548,16736,4184,1046,10316, 63788,15788,22034,32348,7340,3722,15068,4100,4340,7886,4232,1058,3782,17174,603614,227630, 86636,14414,6680,1670,8222,4358,10964,27218,23996,5774,3440,860,1436,1544,386,3404, 5234,9794,8696,2174,2090,341282,195158,44114,34688,8672,2168,542,1478,29282,19658,75938, 45902,18488,4622,3008,752,188,1310,1766,5366,3740,1976,494,1460,6278,19946,326282, 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14194,6616,1654,10744,2686,4744,1186,1738,2752,688,172,17218,7750,12682,5830,11062, 24508,10126,7990,20620,14842,132598,3394276,637720,159430,140662,82528,20632,5158,13976,3494,9080, 2270,19754,8702,13490,10052,6812,23534,31520,7880,1970,63386,25064,6266,3644,7058,4250, 2888,722,2468,2612,1784,446,6524,8900,5960,1490,2684,7280,1820,105668,21530,9368, 2342,4826,3104,776,194,42212,6878,32840,8210,4574,35846,316664,79166,72944,18236,16370, 6446,18674,6932,2594,5786,3464,866,14732,14426,6704,1676,7406,15434,7082,3950,20690, 8084,2810,2348,3896,974,15482,7100,41102,164198,72992,18248,4562,3548,24416,6104,1526, 4094,9602,14408,3602,3278,29438,30986,12914,5582,28034,26072,6518,6902,7118,24230,44234, 17882,8000,2000,500,1388,3626,2654,27530,11618,7040,1760,440,110,24128,6032,1508, 3152,788,1442,5300,2288,572,6086,44642,18938,8396,5492,2324,1730,25492,41272,10318, 5164,2992,748,6694,29338,30904,7726,4192,1048,262,4804,4588,3478,3244,2722,4768, 1192,298,15496,3874,5416,1354,250738,364066,208024,52006,58108,12190,5866,17944,4486,6586, 25216,6304,1576,394,136024,34006,11830,106396,21244,5278,3274,23290,3002,4928,1232,308, 3326,3698,8252,3428,29768,7442,12434,16646,7538,10682,9248,2312,578,36842,19268,304214, 115376,28844,6704,1676,1610,21020,8144,2036,3812,7118,7700,9320,2330,4550,14948,17258, 11006,5318,3290,5090,16970,42890,63572,11906,42038,17060,13352,3338,8996,9950,5066,16430, 285368,71342,111524,53204,14054,6566,3758,26474,14894,43214,22928,5732,12884,6128,1532,3158, 2480,620,1412,18428,4940,2222,21146,15134,6524,18590,7496,1874,7736,1934,15458,30092, 6938,7142,3974,2786,24206,20012,5048,1262,9140,5810,38516,14072,3518,10034,19688,4922, 6008,1502,2690,73214,18440,4610,59036,17150,6614,3776,944,236,1340,2456,614,1526, 1868,1646,12614,6026,4492,4504,1126,3874,3358,14782,35164,20992,5248,1312,328,82, 18868,4834,3628,6238,30208,7552,1888,472,118,6184,1546,1876,1648,412,20002,7894, 4036,2836,1828,189712,47428,8938,4648,1162,1732,2512,628,1414,24016,6004,2422,12712, 3178,2488,622,6682,3802,2722,3034,2434,12082,9796,3646,8824,2206,13324,6988,5206, 9904,2476,8284,9652,3106,3142,5008,1252,8218,4378,2938,2398,104206,42688,10672,2668, 12892,11596,6502,6898,30304,7576,1894,4306,34906,14386,10768,2692,10624,2656,664,166, 3334,5116,34222,35032,8758,25672,6418,12406,10558,37138,31846,21154,1912,478,7696,1924, 5698,31792,7948,5476,5854,14752,3688,922,1642,10282,5152,1288,322,10138,5098,3208, 802,2494,17668,4942,23584,5896,1474,13754,9176,2294,62678,238016,59504,14876,47126,70184, 17546,16832,4208,1052,12134,16400,4100,2066,2072,518,80726,30704,7676,5402,45884,16148, 8534,15044,4118,15752,3938,2774,23702,40538,34004,7052,8150,21326,25088,6272,1568,392, 98,1334,19640,4910,5648,1412,1562,19490,8606,8084,7076,2624,656,164,1328,332, 6302,6788,2570,3542,20144,5036,18686,117010,120274,162766,70786,65890,86518,33742,20806,9100, 3004,5338,57682,83548,14020,14896,3724,1996,1672,418,10576,2644,3988,4366,3922,15508, 7606,4150,2854,2368,592,148,3286,2530,7522,228166,86860,17584,4396,2122,4438,2962, 19324,57850,113704,28426,19234,154504,38626,30364,9250,85816,21454,16432,4108,2068,3826,37864, 9466,75772,367858,1074502,404236,77092,106282,63028,17026,20530,448426,255484,216226,369694,360946,792412, 3998,2798,2348,6464,1616,404,10808,2702,2312,578,3572,7676,2738,17396,13508,7046, 20528,5132,25712,6428,2504,626,4034,5516,10106,14696,3674,120968,30242,20258,14642,8732, 2936,734,1574,5372,2306,4544,1136,284,1352,338,16712,4178,15614,7154,6752,1688, 422,4886,3644,1982,2042,7892,204074,777224,194306,112544,28136,7034,12104,3026,35918,14768, 3692,2792,698,6758,6968,1742,1952,488,122,6272,1568,392,98,3302,40292,22382, 9692,3116,3332,4184,1046,3224,806,5048,1262,1772,2522,42398,17198,7748,5426,5816, 1454,1844,22544,5636,4832,1208,302,1412,4090,3424,856,214,6352,1588,3172,1894, 263122,99970,38788,8572,13090,6208,1552,388,1372,3634,2662,53170,21238,36418,14956,10660, 3298,2536,634,2452,14992,3748,2002,2050,2068,5146,11680,2920,730,25306,25846,53386, 27232,6808,1702,11596,23614,79900,25720,6430,6448,1612,18664,4666,3586,2644,15100,60460, 31678,41722,14008,3502,5218,3256,814,3706,3316,2740,22696,5674,254374,425650,160918,141946, 42196,101002,47320,11830,13414,75622,1180246,1002004,216070,284020,42214,254590,168010,68488,17122,7720, 1930,5524,3856,964,1480,370,1438,4342,22768,5692,4936,1234,1762,1960,490,8674, 4552,1138,1726,28600,7150,7270,152152,38038,38266,13036,16378,6880,1720,430,3490,2608, 652,9526,11956,71044,14620,7360,1840,460,34360,8590,8080,2020,1678,4192,1048,262, 10888,2722,2320,580,1408,352,88,22,6190,6730,6520,1630,8224,2056,514,1492, 8836,2956,27142,44908,16402,7450,4576,1144,286,46462,36304,9076,3550,5224,1306,3280, 820,28870,56230,215224,53806,33514,29572,6844,25774,17746,7954,4282,3478,9106,4714,34468, 7762,4210,2878,22876,9682,4930,3148,20122,6736,1684,5098,11590,20218,7960,1990,66778, 33550,22120,5530,13210}; unsigned char cflag[9316+1]={ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 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, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2, 2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4, 4,4,4,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1, 2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4, 4,4,4,4,4,5,5,5,5,5,5,0,0,0,0,0,0,0,0,0,0, 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, 0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3, 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,2,3,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3, 3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4, 4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6, 6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7, 7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,5, 5,5,5,5,5,6,6,6,6,7,7,7,7,7,8,8,8,8,8,9,9, 9,9,9,10,10,10,10,10,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 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, 3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1, 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, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1, 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, 2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4, 4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5, 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, 0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1, 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, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,1,1,1,1,1, 1,1,2,2,2,3,3,3,3,4,4,4,5,5,5,6,6,6,6,6,6, 6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8, 8,8,8,8,8,8,9,9,9,9,10,10,10,11,11,11,11,11,11,11,11, 11,11,11,11,11,12,12,12,13,13,13,13,14,14,14,14,14,14,14,14,14, 15,15,15,15,16,16,16,17,17,17,17,17,17,18,18,18,19,19,19,19,20, 20,20,20,20,21,21,21,21,22,22,22,22,22,23,23,23,24,24,24,25,25, 25,25,26,26,26,27,27,27,28,28,28,28,28,28,29,29,29,30,30,30,31, 31,31,32,32,33,33,33,34,34,34,35,35,36,36,37,37,37,38,38,39,39, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1, 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, 2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4, 4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5, 5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1, 1,1,1,1,1,1,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0, 0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,5,5, 5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5, 5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6, 6,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8, 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9, 9,9,9,9,9,9,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 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, 0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4, 4,4,4,4,5,5,5,5,6,6,6,6,7,7,7,7,7,8,8,8,8, 9,9,9,9,9,10,10,10,11,11,11,11,12,12,12,12,12,12,12,12,12, 12,12,12,13,13,13,14,14,14,15,15,15,15,16,16,16,16,16,16,17,17, 17,17,18,18,18,18,18,19,19,19,19,19,20,20,20,20,20,21,21,21,21, 21,21,21,21,21,22,22,22,22,23,23,23,23,23,24,24,24,24,24,24,24, 24,24,25,25,25,25,25,25,25,25,26,26,26,26,26,26,27,27,27,28,28, 28,28,29,29,29,29,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,0,0,0,0,0,0,0,1,1,1,1,1, 1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3, 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4, 4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,6,6,6,6, 6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, 7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,9, 9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,10,10,10,10,10,10, 10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,12,12,12,12, 12,12,12,13,13,13,13,13,13,13,13,13,13,13,13,13,13,14,14,14,14, 14,14,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,16,16, 16,16,16,16,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,18, 18,18,18,18,18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 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, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2, 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, 3,3,3,3,3,3,3,3,3,3,3,3,3,3,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3, 3,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5, 5,6,6,6,6,6,6,6,6,6,6,6,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3, 4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5, 5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6, 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, 7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9, 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, 10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10, 10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10, 11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11, 11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,13, 13,13,13,13,13,13,13,13,13,13,13,13,13,13,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3, 3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4, 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, 0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 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, 2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,0, 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, 0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1, 1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3, 3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4, 4,4,4,4,4,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 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, 3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,5,5,5,5, 5,5,5,5,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,8, 8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,10,10,10,10,10, 10,10,10,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,13, 13,13,13,13,13,13,13,13,13,13,14,14,14,14,14,14,14,14,14,14,15, 15,15,15,15,15,15,15,16,16,16,16,16,16,16,16,17,17,17,17,17,17, 17,17,17,18,18,18,18,18,18,18,18,18,18,18,18,19,19,19,19,19,19, 19,19,20,20,20,20,20,20,20,20,21,21,21,21,21,21,21,22,22,22,22, 22,22,22,22,22,22,23,23,23,23,23,23,23,23,23,24,24,24,24,24,24, 24,24,24,24,24,25,25,25,25,25,25,25,25,26,26,26,26,26,26,26,26, 26,27,27,27,27,27,27,27,27,28,28,28,28,28,28,28,28,28,28,29,29, 29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,30,30,30,30,31,31, 31,31,31,31,31,31,31,32,32,32,32,32,32,32,32,33,33,33,33,33,33, 33,34,34,34,34,34,34,34,35,35,35,35,35,35,35,35,35,35,36,36,36, 36,36,36,36,36,36,37,37,37,37,37,37,37,37,37,37,37,38,38,38,38, 38,38,38,38,38,38,38,39,39,39,39,39,39,39,39,39,39,40,40,40,40, 40,40,40,40,40,41,41,41,41,41,41,41,41,42,42,42,42,42,42,42,42, 43,43,43,43,43,43,43,43,43,44,44,44,44,44,44,44,44,44,45,45,45, 45,45,45,45,46,46,46,46,46,46,46,46,46,47,47,47,47,47,47,47,47, 47,47,48,48,48,48,48,48,48,48,48,48,49,49,49,49,49,49,49,49,50, 50,50,50,50,50,50,51,51,51,51,51,51,51,51,52,52,52,52,52,52,52, 52,53,53,53,53,53,53,53,53,53,54,54,54,54,54,54,54,54,54,55,55, 55,55,55,55,55,56,56,56,56,56,56,56,56,56,57,57,57,57,57,57,57, 57,57,58,58,58,58,58,58,58,58,59,59,59,59,59,59,59,59,60,60,60, 60,60,60,60,61,61,61,61,61,61,61,61,61,62,62,62,62,62,62,62,62, 62,63,63,63,63,63,63,63,63,63,63,64,64,64,64,64,64,64,64,64,64, 64,64,64,64,64,64,65,65,65,65,65,65,65,65,65,65,66,66,66,66,66, 66,66,66,66,67,67,67,67,67,67,67,68,68,68,68,68,68,68,68,69,69, 69,69,69,69,69,69,69,69,69,70,70,70,70,70,71,71,71,71,71,72,72, 72,72,72,72,72,72,72,73,73,73,73,73,73,73,73,73,74,74,74,74,74, 75,75,75,75,75,75,75,75,75,76,76,76,76,76,76,76,76,76,76,77,77, 77,77,77,77,77,77,78,78,78,78,78,78,78,79,79,79,79,79,79,79,80, 80,80,80,80,80,80,80,81,81,81,81,81,81,81,81,82,82,82,82,82,82, 82,82,82,82,83,83,83,83,83,83,83,83,83,84,84,84,84,84,84,84,84, 84,84,85,85,85,85,85,85,85,85,85,86,86,86,86,86,86,86,86,86,86, 87,87,87,87,87,87,87,87,87,88,88,88,88,88,88,88,88,89,89,89,89, 89,89,90,90,90,90,90,90,90,90,91,91,91,91,91,92,92,92,92,92,93, 93,93,93,93,93,93,94,94,94,94,94,94,95,95,95,95,95,95,95,95,95, 96,96,96,96,96,96,96,96,96,97,97,97,97,97,97,97,97,97,97,98,98, 98,98,98,98,98,98,99,99,99,99,99,99,99,99,99,100,100,100,100,100,100, 100,101,101,101,101,101,101,101,102,102,102,102,102,102,103,103,103,103,103,103,103, 103,103,103,103,104,104,104,104,104,104,104,104,104,105,105,105,105,105,105,106,106, 106,106,106,106,106,106,106,106,107,107,107,107,107,107,107,107,108,108,108,108,108, 108,108,108,108,108,108,108,109,109,109,109,109,109,109,109,109,110,110,110,110,110, 110,110,110,111,111,111,111,111,111,111,112,112,112,112,112,112,112,112,113,113,113, 113,113,113,113,113,113,113,114,114,114,114,114,114,114,114,115,115,115,115,115,115, 115,115,115,115,115,115,116,116,116,116,116,116,116,117,117,117,117,117,117,117,117, 118,118,118,118,118,118,118,118,119,119,119,119,119,119,119,119,120,120,120,120,120, 120,120,121,121,121,121,121,121,121,121,121,121,122,122,122,122,122,122,123,123,123, 123,123,123,124,124,124,124,124,124,124,124,124,124,124,124,124,124,125,125,125,125, 125,125,126,126,126,126,126,126,126,127,127,127,127,127,127,127,127,127,128,128,128, 128,128,128,128,128,129,129,129,129,129,129,130,130,130,130,130,130,131,131,131,131, 131,131,131,131,131,131,131,132,132,132,132,132,132,133,133,133,133,133,133,133,133, 133,134,134,134,134,134,134,134,134,135,135,135,135,135,135,135,135,136,136,136,136, 136,136,137,137,137,137,137,137,137,137,138,138,138,138,138,138,138,138,138,138,0, 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, 2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4, 4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5, 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, 0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 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, 2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,5,5,5, 5,5,6,6,6,6,6,7,7,7,8,8,8,8,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 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, 0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1, 1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2, 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, 5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5, 5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7, 7,7,7,7,7,7,7,7,7,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 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, 0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2, 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, 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4, 4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5, 5,5,5,5,5,5,5,5,5,5,5,5,5,255}; // index=9316 unsigned int size[66]={ 107, 146, 42, 60, 90, 112, 88, 57, 181, 159, 174, 199, 133, 149, 131, 71, 100, 31, 30, 136, 178, 185, 122, 152, 156, 129, 76, 151, 108, 248, 63, 93, 197, 107, 158, 73, 198, 296, 138, 120, 102, 92, 147, 96, 119, 1313, 156, 153, 82, 205, 62, 190, 115, 111, 99, 70, 83, 106, 128, 47, 120, 131, 64, 73, 104, 204}; int cval[66]={ 5003,5005,5009,5011,5015,5017,5021,5023,5027,5029,5033, 5035,5039,5041,5045,5047,5051,5053,5057,5059,5063,5065, 5069,5071,5075,5077,5081,5083,5087,5089,5093,5095,5099, 5101,5105,5107,5111,5113,5117,5119,5123,5125,5129,5131, 5135,5137,5141,5143,5147,5149,5153,5155,5159,5161,5165, 5167,5171,5173,5177,5179,5183,5185,5189,5191,5195,5197}; unsigned int numbc=66;