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