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