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