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