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