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