// c=7201 int sinp[9743]={ 12460,7804,36388,36454,25006,29650,30352,7588,13990,12370,18982,15178,7492,4204,10894,71482, 28606,616414,794776,198694,116266,45400,11350,9964,18892,9814,9316,12340,4114,16138,7852,6832, 1708,5536,1384,346,1930,2524,9616,2404,2884,3556,7276,11866,6250,4144,1036,4792, 1198,9562,5386,3820,485194,183748,28990,91774,197968,49492,11080,2770,13342,62410,25204,6526, 36130,13312,3328,832,208,52,1810,20902,16258,11692,7642,4666,3550,19120,4780,6184, 1546,2380,5170,14296,3574,31108,7444,3196,41962,17536,4384,1096,274,19444,5446,7564, 6628,7924,3286,6562,4996,4690,12718,19282,74848,18712,4678,7132,11560,2890,41108,7934, 8966,13892,4406,213518,144686,66218,21776,5444,2822,10004,9632,2408,602,19766,84254,51896, 12974,10652,27014,20786,9596,7202,4502,155864,38966,148394,44888,11222,28838,32888,8222,9128, 2282,3794,3224,806,9236,23216,5804,18308,5234,3764,14954,7358,8642,5042,3692,33818, 32996,7988,50384,12596,19676,8798,9452,32726,56054,99428,20444,24572,11414,23612,11144,2786, 2846,6104,1526,189218,72758,244622,125078,131504,32876,84242,33392,8348,14468,4514,3494,11504, 2876,5312,1328,332,8696,2174,5726,7724,41546,11498,6386,4196,2588,10388,18254,33482, 11228,106382,59468,33644,196508,189824,47456,11864,2966,13496,3374,6602,5558,95054,32834,14114, 7094,465536,116384,29096,7274,5198,17618,8408,2102,43418,48458,140636,34844,20594,9524,12758, 30782,21818,15734,53624,13406,12044,59078,250088,62522,32906,22106,40178,16868,4964,2732,16364, 272432,68108,29768,7442,4592,1148,4826,57998,56558,37172,22816,5704,1426,16444,10000,2500, 11770,17020,16984,4246,3394,11422,11350,6058,7912,1978,24796,6640,1660,12124,4858,12646, 6544,1636,39772,8746,9424,2356,9970,42688,10672,2668,2302,68770,40606,23662,9808,2452, 5194,7426,14824,3706,13228,4282,20224,5056,1264,316,6598,4276,6082,13690,15478,7606, 4654,4462,4408,1102,9484,3580,17476,13750,6958,5110,3718,3196,12610,19198,30382,11698, 163702,63190,25498,35452,3836,2522,25136,6284,29474,21086,9710,5444,6038,42200,10550,6122, 35396,14462,7226,14660,8630,5582,3896,974,2168,542,2006,4592,1148,2018,5642,21788, 5888,1472,368,92,1820,2144,536,134,11690,163700,77624,19406,9080,2270,2654,2798, 2852,17522,11234,10826,56402,757016,189254,198854,710450,304904,76226,47384,11846,24644,11438,6092, 7820,22922,43658,69902,28016,7004,3116,29018,26588,6788,6416,1604,4958,3662,3176,794, 14894,7388,3188,9908,11360,2840,710,38738,15716,8498,8768,2192,548,32906,56294,30284, 10424,2606,2780,2324,16118,7688,1922,5588,29078,43334,60344,15086,7460,41822,17486,8360, 2090,34364,8246,5474,7586,8774,42146,28214,11090,18686,8810,40706,27404,20276,37448,9362, 20594,12206,6380,4052,27620,16892,4970,34550,12872,3218,16220,4844,28106,206144,51536,12884, 55808,13952,3488,872,218,13166,6740,47060,68444,14636,17360,4340,10394,105290,170900,157376, 39344,9836,4538,12392,3098,20456,5114,12878,6632,1658,9962,42686,17810,33074,19136,4784, 1196,5024,1256,314,8828,3458,6452,78104,19526,46970,48194,31616,7904,1976,494,1988, 5066,38258,27398,23510,9128,2282,47518,21658,68524,37474,15856,3964,10834,5866,24784,6196, 13324,45898,25900,19492,5458,3850,7924,4270,6910,22732,45358,30022,52648,13162,88492,144058, 43672,10918,104650,50686,39316,14830,12850,6622,7978,14296,3574,9670,26890,15214,13066,10840, 2710,10852,3838,19816,4954,16180,10618,6142,185956,36670,26392,6598,23002,9022,13270,19762, 9214,32542,15988,5404,6028,18466,8728,2182,13126,31264,7816,1954,2536,634,3334,25738, 242026,425290,14470,34168,8542,8788,71602,28654,20626,9538,5380,2812,43900,23470,17710,91258, 28822,32884,7780,3262,11644,13264,3316,3622,47788,28726,97684,27142,13288,3322,4090,4306, 3418,87640,21910,27052,19978,47626,37408,9352,2338,2680,670,49948,18556,66634,34648,8662, 15874,7756,20902,222748,67156,26446,19384,4846,7234,4516,2650,5350,27256,6814,10528,2632, 658,2050,2572,22822,317842,120994,47176,11794,6226,4138,106522,1075678,458986,454894,260386,99448, 24862,13558,23416,5854,7654,47608,11902,34060,19444,5890,4012,10258,5650,3922,3274,7918, 8962,5164,10744,2686,147406,87424,21856,5464,1366,9718,12586,56374,91318,77422,48058,16672, 4168,1042,2194,2626,2788,2326,81796,17140,5566,13102,11878,46330,16186,7708,6676,7762, 4714,85030,279610,16090,7564,19438,15442,7594,16414,13594,21334,26566,48274,19906,9268,24838, 56356,12370,6442,33250,14272,3568,892,9862,18418,8710,51892,44206,29374,28168,7042,4444, 5758,54970,18616,4654,7126,14578,7270,37582,25648,6412,124520,31130,13478,12092,375812,56006, 36014,31022,43496,10874,5882,4010,3308,6218,4136,1034,2192,548,6656,1664,416,104, 26,1814,9854,130406,77864,19466,9104,2276,70628,33962,14540,8600,2150,5720,1430,10490, 5738,3956,2546,13226,6764,6614,22460,4490,3488,872,218,1886,27374,40136,10034,690740, 131318,198608,49652,11114,5972,2924,5804,20150,13688,3422,30290,50828,18806,10538,5756,18302, 253340,115448,28862,51188,11402,6080,1520,380,14900,4598,17252,42926,35396,22298,10166,9476, 77918,171716,37070,39848,9962,5540,7586,41144,10286,12860,43658,18176,4544,1136,284,8690, 17114,8222,60908,24800,6200,1550,9878,15836,21668,27320,6830,12554,6512,1628,119228,239702, 705410,201554,107528,26882,10718,34910,90068,18692,5786,3974,6746,4334,18266,8654,15872,3968, 992,248,62,14738,12758,28292,7136,1784,446,15224,3806,116450,28736,7184,1796,3410, 75002,29930,13028,31532,19562,9140,3518,19112,4778,3596,5522,8870,9500,12578,19868,16952, 4238,12146,16280,4070,6800,1700,12272,3068,127732,95494,30016,7504,1876,9364,43006,17932, 5680,1420,3358,3064,766,2092,12280,3070,2956,3574,8050,9040,2260,9526,22954,27940, 12370,11470,6106,35392,8848,2212,5134,3730,6610,8230,117094,36994,32998,11134,5980,2926, 2902,97636,31972,13504,3376,844,463396,134842,371056,92764,19198,9004,11296,2824,706,33634, 19378,15412,71392,17848,4462,3478,18202,89338,38858,26372,12488,3122,18500,16382,31286,13538, 20000,5000,1250,9632,2408,602,9974,5546,7634,38306,40898,148790,57602,44690,188546,2263214, 8286212,2630048,657512,164378,172226,177644,35114,24266,18164,108290,76766,46958,26060,6692,47054,16394, 13736,3434,6446,31082,21998,8816,2204,3470,4136,1034,5096,1274,25040,6260,6512,1628, 7844,25250,29882,17798,8480,2120,530,29720,7430,4592,1148,6788,27884,7034,13430,6842, 8078,5432,1358,3542,3134,7868,14114,20486,9488,2372,9578,9902,9146,9050,15320,3830, 3242,6338,20180,10190,6026,7904,1976,494,4280,1070,8408,2102,2594,10766,6188,2966, 2918,2900,5330,33932,8168,2042,11324,404816,101204,32978,86420,28820,12620,4172,2588,3524, 10064,2516,5222,3764,10784,2696,674,4160,1040,260,18770,19616,4904,1226,5204,5978, 13376,3344,836,8930,16112,4028,11480,2870,2882,22172,6278,28694,12566,6518,4250,32150, 13862,7004,15572,8894,10298,9536,2384,596,4682,7148,3146,6284,2984,746,4934,3656, 914,109814,42986,19114,8974,58426,23716,6496,1624,406,4744,1186,7048,1762,12718,30772, 7576,1894,5992,1498,2368,592,148,1834,2494,10684,30664,7666,5794,8992,2248,562, 104644,23272,5818,3988,2554,2764,5776,1444,3364,3634,25264,6316,6292,2986,2926,25192, 6298,4168,1042,3454,11494,10042,5572,13204,4282,3412,2446,17774,14516,5204,7544,1886, 17840,4460,10466,5732,2882,2888,722,2078,10916,3854,6686,13832,3458,3104,776,194, 1880,470,12404,14456,3614,11888,2972,5354,8810,10268,7406,8684,12248,3062,11168,2792, 698,8030,31328,7832,1958,17162,30572,21482,15614,43028,39680,9920,2480,620,8846,9494, 56690,23066,9650,5426,3842,3248,812,12728,3182,6308,2990,6200,1550,5390,7550,53126, 970694,18026378,28913822,396126602,564046892,301183796,42357134,23830406,580086944,145021736,36255434,22954526,14535512,3633878,1732664,433166, 248174,144116,49610,42790,17854,13630,17008,4252,7450,8710,5074,12868,16006,7810,25594,18916, 41200,10300,4612,44134,18358,8692,6964,6478,9286,5290,19006,14092,4450,20320,5080,1270, 2284,2236,3478,3112,778,10096,2524,12436,190420,45364,17278,10984,2746,6064,1516,2092, 2200,550,2014,3730,11734,6208,1552,388,24208,6052,11140,34414,27868,23812,226222,233998, 128788,142144,35536,8884,7018,8158,5458,13192,3298,18862,37168,9292,3550,4162,40228,25558, 11392,2848,712,178,53302,21796,17782,8476,23074,34726,14830,21022,9076,7072,1768,442, 4768,1192,298,5800,1450,29392,7348,6586,8224,2056,514,61036,13252,33424,8356,12112, 3028,5836,2902,2896,724,5350,3814,3238,3022,7828,115576,28894,11290,10870,5884,150568, 37642,11014,5938,19816,4954,7306,12478,25492,28312,7078,4462,20788,10366,676246,255400,63850, 32134,13858,25978,19132,5854,4810,17392,4348,25000,6250,7834,8926,5674,12958,6808,1702, 2446,51082,79342,61846,61630,51736,12934,6658,34960,8740,12274,12172,4090,6820,11464,2866, 16900,105370,63790,184102,70846,73132,15520,3880,970,17134,22480,5620,6100,6484,49804,11146, 44446,15664,3916,2542,13246,20212,10204,14866,21130,16546,44602,29608,7402,8320,2080,520, 130,58714,37546,28186,20374,9448,2362,5848,1462,2356,5182,9718,5452,2830,7618,38302, 13936,3484,7288,1822,3676,210814,90682,55528,13882,12328,3082,11554,24520,6130,72634,45376, 11344,2836,22894,33910,14524,5206,3760,940,1984,496,124,8098,50668,11308,3928,982, 2176,544,136,34,12856,3214,31228,7474,21274,16486,7990,4804,17728,4432,1108,13576, 3394,1978,5632,1408,352,88,22,1816,454,1852,3424,856,214,1888,472,118, 2045212,497230,216322,653578,423196,112318,2518,2752,688,172,1840,460,1894,428548,647746,2123944, 530986,195880,48970,245806,735538,712366,337936,84484,157858,718360,179590,69154,78466,447010,437134,159298, 840526,361150,719890,615994,351016,87754,2546062,4127020,775624,193906,130954,125284,822280,205570,622960,155740, 247498,327298,376132,745756,150340,42674,28526,12506,30524,7532,18392,4598,19538,15512,3878,4256, 1064,266,8816,2204,2222,2642,6008,1502,2372,17348,15098,80582,52178,33872,8468,12164, 7766,15584,3896,974,2174,2624,656,164,4568,1142,141944,35486,15116,41138,27662,12182, 11696,2924,18662,8414,4964,5918,4028,2564,29228,12722,11678,6188,7862,96326,37736,9434, 26636,6992,1748,21416,5354,39074,53312,13328,3332,6236,2978,25952,6488,1622,12668,4184, 1046,6998,24638,11048,2762,10922,15164,4652,7538,8762,32174,13874,12326,6632,1658,77954, 30374,11708,4004,5648,1412,5498,124322,102482,62168,15542,17918,8528,2132,8504,2126,2606, 2786,11372,15242,21452,6182,4904,1226,9626,21968,5492,29066,33116,8018,9032,2258,5792, 1448,362,16124,4832,1208,302,1922,30686,13316,13532,4346,49964,17096,4274,6926,4406, 14432,3608,902,57686,92894,36644,14828,26312,6578,8222,4892,2726,3932,2546,5954,7712, 1928,482,9914,367078,318316,1604902,1362730,386434,146722,56830,36490,10720,2680,670,4900,2728, 682,3358,6412,109498,41374,27796,14716,8662,33394,14332,8554,5572,2854,11002,11200,2800, 700,4720,1180,9298,5296,1324,15538,7636,4240,1060,2008,502,39028,98050,38578,16276, 10660,3808,952,238,5302,18496,4624,1156,2026,3736,934,9382,16510,13810,6988,11542, 29308,12766,11704,2926,6436,3016,754,2092,16024,4006,11974,15832,3958,262102,297496,74374, 128992,32248,8062,9058,5206,17776,4444,72562,29020,1381846,1988572,424666,243130,83656,20914,9652, 49936,12484,4150,31738,19948,51310,26848,6712,1678,35272,8818,5116,5962,34852,8344,2086, 10354,5692,6124,46318,24742,29470,21100,43888,10972,7516,27076,6886,14404,4510,7060,9202, 5260,15682,7690,5806,17938,8536,2134,14860,21244,10498,5746,3964,5638,231970,88798,54472, 13618,6916,3106,2974,6196,35140,8398,14926,16102,22180,5968,1492,3376,844,8950,70426, 226270,131800,32950,1205140,198742,201484,379228,230350,155380,39334,41782,103180,221764,43390,28930,12658, 6556,11686,18454,38056,9514,5842,4000,1000,250,6664,1666,2434,2722,2830,15994,13306, 12172,12106,22744,5686,34654,24016,6004,7678,8842,6346,48316,18112,4528,1132,24934,29632, 7408,1852,5044,1324984,331246,144946,56164,12340,39514,36652,37894,39430,56998,56686,29116,12712, 3178,4060,6058,4870,18814,15106,7474,4612,2674,2812,5314,3802,16978,8176,2044,5098, 4600,1150,5170,3748,2512,628,36814,32908,74218,24040,6010,9094,55876,12286,11434,6382, 7894,50260,10234,10876,7582,8788,4402,3460,2458,31060,7534,8380,6880,1720,430,26446, 96088,24022,55264,13816,3454,6466,4234,6022,-103562,-2161742,-808844,-146708,-380876,-240422,28838,27866, 12260,4892,17804,8960,2240,560,140,5234,4640,1160,290,10688,2672,668,21548,10586, 5780,2894,24032,6008,1502,9866,5510,12854,11756,7832,1958,10856,2714,2828,26408,6602, 4286,476822,272738,419078,273128,68282,27416,6854,8096,2024,506,2000,500,1904,476,24710, 13532,87140,15422,50536,12634,41104,10276,11464,2866,6622,4294,14374,12628,35866,30958,13420, 5056,1264,316,1870,2512,628,8866,9514,183124,197704,49426,1539118,578980,376426,4770802,2017888, 504472,126118,59770,59032,14758,12790,6766,4348,2626,6004,11134,5986,7894,15082,80578,49852, 11158,16540,4912,1228,6928,1732,5014,17452,6028,13564,4354,6976,1744,436,14410,32950, 12436,22582,9520,2380,7066,30088,7522,8758,5632,1408,352,88,22,4192,1048,262, 48502,16810,55792,13948,4426,20314,40840,10210,10270,5662,3934,3286,15508,24526,11008,2752, 688,172,7900,3292,2428,2266,16354,13726,6958,4420,5770,18322,21214,9766,10684,3814, 24100,37702,23146,317584,79396,77536,19384,4846,3628,4570,49402,50284,10240,2560,640,160, 40,10,63010,39970,27010,19720,4930,7300,6580,17326,8308,12106,30034,120754,237070,90712, 22678,7972,12142,6364,3004,2374,11680,2920,730,14896,3724,55684,20188,5596,2860,19666, 54172,11968,2992,748,3274,18856,4714,60604,13174,6874,20728,5182,3754,31006,13438,6850, 8380,3382,4120,1030,62974,25426,32092,7828,3590,3158,2996,5372,3926,3284,10664,2666, 11312,2828,2342,2690,24920,6230,4148,5696,1424,356,8756,6992,1748,10178,27602,42338, 360512,90128,22532,23546,17774,14066,20474,16046,31112,7778,83780,103418,62702,33020,7814,4742, 98072,24518,11006,6266,8054,4832,1208,302,176804,64208,16052,9044,32624,8156,8288,2072, 518,2006,2564,165140,31844,22040,5510,3878,3266,18854,8882,16100,15398,7586,38294,16172, 4844,2720,680,170,51164,17360,4340,5750,3968,992,248,62,3188,5426,13184,3296, 824,206,19502,12908,4232,1058,33668,36026,24794,18476,5276,42014,13052,5006,28034,93320, 23330,176966,68174,146990,53246,18146,89324,18560,4640,1160,290,20144,5036,2756,40022,16820, 9260,3548,7316,6752,1688,422,1970,10268,14912,3728,932,86408,21602,150560,37640,9410, 26630,11798,6236,7724,3260,8612,21152,5288,1322,17504,4376,1094,2222,52388,24842,80810, 163430,63098,21728,5432,1358,261530,151640,37910,16028,42182,17630,104066,169262,408248,102062,92348, 22706,27764,12338,19016,4754,846026,362126,314414,106220,17684,8516,31976,7994,9026,26144,6536, 1634,50762,26624,6656,1664,416,104,26,4544,1136,284,24734,8462,17018,14102,7100, 35000,8750,9506,33266,36674,61136,15284,8828,4412,11042,44414,15662,17476,6034,11488,2872, 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6340,10336,2584,646,2068,5146,7420,20428,5656,1414,67424,16856,4214,4382,3470,3128, 782,2120,530,10040,2510,2768,692,21056,5264,1316,22514,14750,7358,4586,60596,43088, 10772,15380,20258,15962,29480,7370,24170,106790,51674,335696,83924,238010,209498,213188,64526,26024, 6506,282722,163598,63176,15794,23468,11876,18152,4538,12506,41126,23972,35798,19490,15530,173822, 67010,42260,51350,15056,3764,14570,139328,34832,8708,7016,1754,18404,9134,5252,6044,2960, 740,5408,1352,338,42152,10538,44096,11024,2756,5342,3830,4274,7118,4496,1124,10742, 6218,22712,5678,3956,10346,512140,385870,221620,121180,38650,14068,5176,1294,5296,1324,9238, 16474,13378,6844,6850,4396,10534,119236,24184,6046,7804,20092,25924,6688,1672,418,1984, 496,124,792130,298876,924538,263224,65806,41584,10396,7492,3232,808,202,20254,13798,117724, 37678,25762,11488,2872,718,4972,9910,14608,3652,2512,628,3286,11452,15274,33970,14566, 183334,280936,70234,30388,22990,17500,9490,5386,8896,2224,556,8914,5170,3766,10720,2680, 670,5536,1384,346,55516,20182,25708,23098,9694,21532,10624,2656,664,166,24412,11434, 3350110,2585290,467146,269572,52372,24448,6112,1528,382,8794,10948,3880,970,7102,301432,75358, 58648,14662,77746,30982,54058,108004,22078,29836,41122,17248,4312,1078,38584,9646,9994,10840, 2710,10966,17932,26194,11650,6196,9370,6202,4942,7348,9328,2332,5224,1306,43852,65722, 21682,9958,65879842,24706768,6176692,12672478,5443336,1360834,25868,11846,11234,78626,17438,159680,39920,9980, 21170,25166,29918,321536,80384,20096,5024,1256,314,1946,2558,18092,13406,664472,166118,98012, 557732,124274,914942,1172828,2905418,1091360,272840,68210,298634,113816,28454,20576,5144,1286,5294,233240, 58310,37370,15842,21602,13082,6734,14366,56858,23150,111404,105734,64046,75134,109946,43058,39548, 32036,13280,3320,830,12146,113348,26102,16268,9146,5258,3800,950,40628,9446,9884,12854, 15494,13286,12044,7958,103700,21272,5318,7562,4664,1166,9668,41420,16220,34886,24194,10004, 3704,926,7592,1898,2540,5792,1448,362,1964,10334,52394,21476,47270,31160,7790,61130, 24752,6188,19334,15446,49964,61994,25076,6530,5036,11306,6068,2966,240950,111962,43814,29216, 7304,1826,5288,1322,2324,2264,566,15296,3824,956,60860,970652,418178,120812,30740,32464, 8116,76168,19042,28594,20656,5164,97642,91072,22768,5692,2896,724,8992,2248,562,4888, 1222,3544,886,12538,24874,29674,33724,8152,2038,38098,26002,19198,9028,7162,19312,4828, 2734,2854,5452,4804,6532,11782,6514,8236,57214,23284,37864,9466,21958,9376,2344,586, 3826,6724,6676,10456,2614,7732,31456,7864,1966,2566,3922,6778,113104,28276,32752,8188, 3364,5518,3898,19792,4948,10774,495808,123952,30988,7558,5326,391312,97828,32086,254908,49624, 12406,10726,11566,6166,61588,906964,229258,2621572,2139076,778978,1660852,3605986,1940362,1572946,889354,571138, 947788,79972,27064,6766,4366,3466,16426,22546,17254,22276,26974,11944,2986,11206,6352,1588, 25624,6406,5002,28108,43444,18334,8704,2176,544,136,34,5272,1318,10432,2608,652, 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2504,626,13574,6920,1730,74222,90656,22664,5666,13472,3368,842,5048,1262,8576,2144, 536,134,1880,470,2006,2582,2798,9062,5228,2810,6446,6590,15164,82586,61982,51002, 82646,32822,14138,43280,10820,13256,3314,26018,30644,12694,11716,9106,5764,13606,11002,5956, 11920,2980,3622,6790,14020,9592,2398,9868,33478,98914,48364,18178,56968,14242,302614,174796, 33430,23380,6214,42916,9238,9772,7324,106360,26590,14854,17878,14632,3658,3202,405736,101434, 39868,17554,8140,18556,16522,8026,4840,1210,2284,5218,8836,14578,160000,40000,10000,2500, 7162,4516,3838,11932,55024,13756,30130,10588,37024,9256,2314,2698,2842,2896,724,1966, 79960,19990,15820,29308,21058,25108,6538,4282,3436,5542,7600,1900,5110,7450,4624,1156, 12148,4108,54754,29734,17806,57940,247858,81250,40912,10228,3748,3730,4252,42340,8698,5092, 21796,6268,11338,6082,67876,12748,46006,30454,21706,9970,30076,21382,23254,17656,4414,12418, 39778,23416,5854,28732,53872,13468,68938,27682,13504,3376,844,5440,1360,340,1894,6376, 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548,1934,5666,3956,4652,844772,160226,61916,21992,5498,61826,25016,6254,8096,2024,506, 30848,7712,1928,482,2012,5144,1286,59342,37958,1307444,187064,46766,30884,7622,91472,22868, 11462,11528,2882,2912,728,182,8852,57938,23558,53486,34664,8666,5642,18224,4556,17762, 8492,11042,5972,7898,5426,3866,4292,2636,132296,33074,14234,7208,1802,4022,12092,293648, 73412,15596,15278,13172,5624,1406,5858,4028,27266,12056,3014,43586,18176,4544,1136,284, 4658,3578,25538,11408,2852,2366,11624,2906,14962,28570,20650,13978,12442,11578,11092,7606, 4684,2710,2848,712,178,8470,5008,1252,9832,2458,5962,13504,3376,844,1990,2578, 10876,11182,18868,9886,5986,18676,34906,24214,10912,2728,682,5554,11872,2968,742,2110, 16600,4150,3388,3682,36526,75448,18862,23728,5932,2944,736,184,46,17878,8536,2134, 2632,658,9256,2314,11296,2824,706,193990,74578,71626,154246,59674,38146,96574,54022,22090, 23710,9874,17032,4258,20272,5068,2782,3988,41302,17320,4330,10270,6094,8740,12388,35068, 22432,5608,1402,5368,1342,14086,7114,21610,13672,3418,6502,4270,14494,7282,21280,5320, 1330,8380,4384,1096,274,8932,22414,16096,4024,1006,75892,25924,31288,7822,9940,7354, 8716,3466,48946,31330,52654,45112,11278,11398,6106,8014,21592,5398,3856,964,130918,50926, 357094,135742,40330,127678,31168,7792,1948,7120,1780,5080,1270,2308,35848,8962,41170,43438, 39280,9820,13006,9352,2338,17842,19648,4912,1228,2062,7510,4648,1162,299236,156388,53038, 10174,6382,40198,16906,32476,27766,12244,21946,16924,10210,35860,33448,8362,8794,9526,5404, 7780,9946,74272,18568,4642,20758,9616,2404,9118,5770,34690,105844,34348,8272,2068,17410, 57208,14302,7228,4222,16114,212122,123898,28858,20812,5734,3982,8320,2080,520,130,20134, 9382,5350,3838,9400,2350,9838,12628,7930,9040,2260,6436,11416,2854,2902,2920,730, 4990,41656,10414,18382,579226,330394,190426,111694,228280,57070,102754,110530,531058,518458,296212,237352, 59338,105670,41458,216964,522310,197698,601042,515830,195268,1334902,502420,168700,346378,33248,8312,2078, 2612,16544,4136,1034,9578,12650,14108,4478,3512,878,2162,5798,4838,4568,1142,18668, 24500,88052,107750,33512,8378,726590,274304,68576,17144,4286,3440,860,1994,10388,13088,3272, 818,5042,7418,38252,67646,27200,6800,1700,5060,15962,109328,27332,69950,28064,7016,1754, 14666,21080,5270,13376,3344,836,22394,96194,161696,40424,10106,272666,359984,89996,13730,25310, 11324,3956,67412,46370,39080,9770,46094,19118,9002,67754,55580,12254,6428,3038,2972,2390, 7652,6734,4358,11840,2960,740,4790,75836,16052,32762,86366,34220,13862,7106,10868,64838, 34472,8618,22556,6062,4106,12170,18974,8948,26330,37994,260750,99614,39188,25238,54524,12056, 3014,4874,12818,11792,2948,11918,6302,4196,5762,7700,11954,11306,39494,18722,21584,5396, 10982,6296,1574,3650,12242,11468,4820,9248,2312,578,10784,2696,674,8924,3506,6554, 23186,17624,4406,45284,17318,8078,4862,3656,914,5096,1274,26588,6818,10166,29180,7304, 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3310,3088,772,4834,7336,1834,17326,8344,2086,34336,8584,2146,5824,1456,364,25912, 6478,4276,10576,2644,16678,128620,6956,3152,788,16946,19154,24938,30062,74186,56762,36548, 47528,11882,14024,3506,21908,16748,4988,11294,6410,118538,2182394,1232216,308054,117368,29342,11486, 6464,1616,404,9944,2486,2780,33362,36926,12062,6626,53396,357524,94052,47582,16616,4154, 168956,64352,16088,4022,3356,7406,26720,6680,1670,2474,6356,12104,3026,11330,163610,96650, 108314,65546,120032,30008,7502,15020,4664,1166,7190,4544,1136,284,6758,4382,4466,42212, 51956,19232,4808,1202,14978,52802,620048,155012,1692566,636560,159140,75914,427508,124856,31214,6794, 30518,13292,4340,5840,1460,5030,3734,3248,812,2000,500,4760,1190,2294,2708,51902, 15464,3866,41654,17468,5690,7820,3314,28898,40538,27422,10946,288512,72128,18032,4508,81962, 39890,42434,159236,202076,239534,124454,48518,20042,18722,38708,15506,21860,13358,20348,6662,4346, 7064,1766,2510,13346,31904,7976,1994,11078,6002,50048,12512,3128,782,7028,6596,16238, 63890,62684,399806,18854,8918,5192,1298,9872,2468,9818,10142,6086,4130,20240,5060,18398, 8408,2102,2636,2342,2726,2870,2924,2396,28402,18682,8854,78802,48172,22030,34150,23830, 67354,27106,10858,5920,1480,370,6856,1714,52558,41692,26368,6592,1648,412,14254,20806, 16324,5530,3922,14380,203794,551410,239326,317914,121066,47248,11812,48010,19852,10204,13084,27916, 12472,3118,11410,30526,144238,130480,32620,20140,9562,5434,3886,12058,6370,5026,4648,1162, 2284,36502,16432,4108,5776,1444,18520,4630,12796,36520,9130,5272,1318,5362,8962,27502, 31984,7996,16906,8188,32146,25456,6364,11464,2866,7780,8104,2026,2608,652,4804,3910, 6820,14056,3514,3166,19024,4756,2740,2362,2734,11086,15448,3862,616318,3038380,646222,417370, 158362,61234,26248,6562,5080,1270,17782,419488,104872,26218,11680,2920,730,2122,2644,2344, 586,2068,2236,46816,11704,2926,11248,2812,35044,14092,8584,2146,3838,31660,11992,2998, 11716,4882,59362,19930,9322,5344,1336,334,8644,4450,4486,7144,1786,2518,6376,1594, 2446,23542,9034,5236,2830,117994,46096,11524,16972,9394,21928,5482,3904,976,244,1894, 5686,67936,16984,4246,40720,10180,4666,3598,23386,10618,5830,7900,12112,3028,2416,604, 41218,17824,4456,1114,2266,2698,2860,6286,20464,5116,29230,33442,12640,3160,790,135664, 33916,301390,199156,39190,45646,37318,25612,11824,2956,5452,6154,4156,59686,38194,18958,87694, 97738,38500,12964,16000,4000,1000,250,1942,6448,1612,5074,13180,105262,97594,38446,10184, 2546,2804,12830,11840,2960,740,1988,2222,6254,22208,5552,1388,40406,66164,20660,71024, 17756,9062,16430,12248,3062,30200,7550,8870,16268,22226,46886,48344,12086,129632,32408,8102, 15620,4778,4580,2708,4562,3560,890,334112,83528,20882,9680,2420,7214,8360,2090,3824, 956,4892,11372,331226,8252,6944,1736,434,2012,61592,15398,21776,5444,2870,55664,13916, 42836,9260,14984,3746,3254,47696,11924,5534,7736,1934,11048,2762,23588,6272,1568,392, 98,1886,5684,35186,15044,4670,7250,4568,1142,112352,28088,7022,12302,15056,3764,34088, 8522,6074,9266,5324,11030,57362,23360,5840,1460,27572,32792,8198,12068,4112,1028,2042, 15956,5480,1370,42152,10538,6200,1550,9314,5342,7628,12002,6350,34870,14926,7426,15052, 4672,1168,292,15214,7516,4294,3460,10246,5692,7906,7354,57658,71320,17830,8536,2134, 2650,6436,19102,14764,4618,7222,4558,6184,1546,5494,3910,3316,10876,21892,18022,8608, 2152,538,88600,22150,10156,3754,6736,1684,5098,7492,10810,21988,65728,16432,4108,2620, 7258,8380,227890,2328736,582184,145546,86494,34246,14692,87034,75856,18964,9958,5584,1396,102370, 385708,74170,132340,51700,81310,41008,10252,3772,115690,69700,54010,54130,127156,32140,7876,26914, 157774,37558,15934,12016,3004,33196,8074,9166,6508,3070,35788,8560,2140,3538,16480,4120, 1030,2236,76126,48298,31792,7948,3340,2476,2314,5926,4072,1018,8128,2032,508}; unsigned char cflag[9743+1]={ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1, 1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2, 2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4, 4,4,4,4,5,5,5,5,5,5,5,5,5,5,0,0,0,0,0,0,0, 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, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1, 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, 3,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5, 5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7, 7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,9,9, 9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9, 9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9, 9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,10, 10,10,10,10,11,11,11,11,11,11,11,11,11,11,11,11,12,12,12,12,12, 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, 0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 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, 2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1, 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, 3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4, 4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5, 5,5,5,5,5,5,5,5,5,5,5,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 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, 0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 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, 2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4, 4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5, 5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6, 6,7,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8, 8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,10,10,10,10, 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, 11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11, 11,11,11,11,11,12,12,12,12,12,12,12,12,13,13,13,13,13,13,13,14, 14,14,14,14,14,15,15,15,15,15,15,15,16,16,16,16,16,16,17,17,17, 17,17,17,18,18,18,18,18,18,19,19,19,19,19,19,19,20,20,20,20,20, 20,21,21,21,21,21,21,22,22,22,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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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8,8,8,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9, 10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10, 11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12, 12,12,12,12,12,12,12,12,13,13,13,13,13,13,14,14,14,14,14,14,14, 15,15,15,15,15,15,15,15,16,16,16,16,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3, 3,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5,5,5,5,0,0, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2, 3,3,3,3,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5, 5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,7,7, 7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, 8,8,9,9,9,9,9,10,10,10,10,10,10,10,10,10,10,10,10,11,11, 11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12, 12,12,12,12,12,12,13,13,13,13,13,13,13,14,14,14,14,14,15,15,15, 15,15,15,16,16,16,16,16,17,17,17,17,17,17,18,18,18,18,18,18,18, 18,18,18,19,19,19,19,19,19,19,19,19,19,20,20,20,20,20,20,21,21, 21,21,21,22,22,22,22,22,23,23,23,23,23,24,24,24,24,24,24,24,24, 24,25,25,25,25,25,25,26,26,26,26,26,27,27,27,27,27,28,28,28,28, 28,28,29,29,29,29,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 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, 5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5, 5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,7, 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 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, 2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1, 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, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3, 3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4, 4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5, 5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5, 5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6, 6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, 7,7,7,7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,9,9,9, 10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,12,12,12,12,12, 12,13,13,13,13,13,13,13,14,14,14,14,14,14,14,15,15,15,15,15,16, 16,16,16,16,17,17,17,17,17,17,18,18,18,18,19,19,19,19,19,0,0, 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, 1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 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, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 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, 2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 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, 0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2, 2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3, 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, 4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2, 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, 3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4, 4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4, 4,4,4,4,4,4,4,4,4,4,4,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1, 1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2, 2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4, 4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5, 5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,7,7, 7,7,7,7,7,7,7,7,7,7,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2, 2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,255}; // index=9743 unsigned int size[67]={ 110, 156, 74, 194, 244, 174, 64, 171, 56, 88, 338, 158, 283, 53, 181, 212, 198, 114, 177, 72, 170, 24, 158, 133, 135, 82, 120, 127, 213, 63, 136, 116, 174, 133, 53, 91, 147, 135, 132, 214, 241, 158, 261, 259, 72, 251, 92, 98, 181, 128, 93, 87, 79, 69, 68, 87, 333, 98, 91, 245, 178, 118, 134, 178, 231, 125, 115}; int cval[67]={ 7201,7205,7207,7211,7213,7217,7219,7223,7225,7229,7231, 7235,7237,7241,7243,7247,7249,7253,7255,7259,7261,7265, 7267,7271,7273,7277,7279,7283,7285,7289,7291,7295,7297, 7301,7303,7307,7309,7313,7315,7319,7321,7325,7327,7331, 7333,7337,7339,7343,7345,7349,7351,7355,7357,7361,7363, 7367,7369,7373,7375,7379,7381,7385,7387,7391,7393,7397, 7399}; unsigned int numbc=67;