[[0,1,4,55,128,174,175,177,302,315,318,524,526,527,528,529,530,622,684,685,686,770,818,819,904,923,925,936,937,938,939,994,1001,1020,1046,1047,1048,1050,1051,1122,1123],[2,3,91,96,100,102,176,178,179,272,306,525,531,616,638,678,789,802,804,821,899,907,922,927,931,940,941,942,1029,1049,1052,1105,1116,1146],[5,6,7,8,9,10,56,92,132,134,181,248,319,320,321,376,385,394,532,533,535,606,636,659,681,688,806,820,822,823,824,877,933,943,944,945,1044,1045,1053,1054,1056,1117,1149],[97,107,121,153,182,246,300,308,322,323,417,428,489,536,578,579,642,668,670,673,687,689,690,691,784,808,814,816,825,826,1057,1114,1130,1144],[11,103,140,147,180,184,185,187,257,265,267,278,295,325,419,429,487,534,538,539,580,581,582,605,667,677,693,694,695,752,809,810,827,829,880,889,909,910,918,919,946,947,1021,1031,1055,1058,1059,1060,1061,1103,1104,1109,1111,1121],[12,57,111,161,183,188,189,190,193,259,264,304,326,393,409,430,540,651,661,683,692,756,772,780,781,794,805,807,828,831,888,908,1015,1062,1113,1126],[58,59,88,105,117,120,130,144,167,186,191,275,281,285,305,324,328,407,426,537,543,641,650,655,658,697,699,753,774,799,817,830,832,833,948,1035,1065,1107,1119,1129,1139,1141],[13,14,16,18,62,192,274,293,310,327,331,380,423,431,498,541,546,584,612,613,627,644,653,696,698,703,751,765,766,790,800,881,882,892,935,950,951,953,954,993,995,1041,1066,1067,1100,1108,1133,1142,1150],[15,17,22,98,99,101,110,152,253,269,276,287,330,332,333,334,379,391,397,401,403,434,511,542,544,548,614,664,700,701,702,704,771,786,793,834,837,890,911,924,949,952,1025,1063,1064,1120],[19,60,61,112,157,171,194,249,252,288,298,311,329,336,373,395,396,402,405,412,435,439,514,521,545,549,550,583,585,608,621,643,705,706,777,838,839,885,955,959,1016,1019,1023,1071,1110],[20,21,63,64,119,156,195,200,205,268,286,289,386,398,413,422,427,432,433,438,444,486,504,508,518,547,552,553,587,618,632,634,649,654,761,762,776,778,835,840,841,883,893,897,900,902,916,917,956,957,1009,1038,1068,1069,1070,1101,1115,1125],[23,65,136,143,154,160,162,196,197,198,199,201,202,204,206,255,282,284,299,309,312,335,337,338,378,408,436,491,502,522,554,586,619,620,626,639,669,676,707,708,764,836,847,879,895,915,920,926,929,962,964,1013,1024,1037,1073,1076,1099,1135],[24,26,27,28,29,34,66,95,106,118,126,131,163,262,266,314,340,342,374,381,406,410,411,437,440,441,445,615,617,624,630,662,674,754,758,763,797,812,886,913,930,932,960,992,997,1002,1018,1039,1072,1074,1075,1078,1102,1143,1145,1147],[67,109,123,125,150,214,217,250,256,271,273,313,339,343,345,375,404,416,420,442,443,497,551,555,557,558,563,628,637,660,679,773,779,782,798,801,842,843,845,846,912,921,934,958,966,996,998,1004,1005,1007,1028,1033,1079,1082,1128,1137],[25,33,35,129,207,208,294,303,317,346,348,349,382,390,425,446,451,479,512,519,556,588,610,635,648,672,682,711,713,760,775,787,796,815,848,878,887,963,969,971,999,1003,1006,1010,1027,1032,1040,1080,1118,1148],[31,115,124,138,142,149,151,203,209,211,215,221,247,254,280,291,341,353,415,418,424,449,452,454,455,490,501,559,560,657,714,715,811,851,853,891,894,914,928,965,968,970,972,1011,1012,1026,1034,1042,1077,1083,1140],[36,39,42,68,89,90,133,155,159,210,258,279,344,351,352,377,387,389,392,414,478,496,499,516,520,561,590,623,640,709,710,712,757,769,849,852,896,903,961,967,975,1000,1014,1017,1081,1085,1106,1136,1138,1151],[30,32,37,46,93,135,139,158,212,218,219,222,270,292,347,357,388,421,447,480,494,513,562,564,566,589,591,592,593,609,629,633,652,656,665,716,717,718,719,720,722,767,844,850,857,863,884,906,978,979,991,1036,1084,1127,1131],[38,40,43,45,69,87,104,277,283,350,354,358,383,384,448,450,453,476,481,482,483,492,568,594,597,604,625,646,666,671,675,724,755,768,792,795,803,855,859,861,865,898,905,973,974,976,1008,1022,1030,1088,1091,1112],[41,44,47,49,71,72,74,75,113,114,148,166,168,213,220,251,260,296,301,316,355,356,362,364,456,458,460,484,565,567,569,596,598,631,647,725,730,736,759,791,813,854,856,858,866,901,977,980,981,985,1043,1086,1087,1094],[50,52,70,76,80,81,146,165,170,216,223,290,297,361,463,464,485,488,493,505,509,517,570,572,575,595,611,645,721,727,728,733,739,783,785,860,862,867,982,983,986,1089,1132],[48,53,77,94,108,137,172,224,230,231,232,261,263,359,360,366,399,400,457,459,462,466,495,506,507,515,574,576,599,723,726,729,732,737,742,864,868,873,984,1090,1092,1095,1097,1134],[73,78,79,84,86,225,226,228,234,235,237,241,368,461,465,473,477,500,571,573,577,600,601,680,731,734,735,743,746,788,869,870,874,876,988,990,1093],[51,82,83,85,227,229,236,238,239,242,245,307,363,369,467,468,471,472,503,510,523,602,603,607,738,740,745,748,875,987,989],[54,127,145,169,233,243,365,367,469,470,474,475,741,744,749,750,871,872,1096],[122,240,370,371,372,747,1124],[244,663],[116,164,1098],[141],[173]]