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