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