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