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