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