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