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