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