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