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