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