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