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