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