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