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