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