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