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