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