[{"0":1,"1":2,"2":3,"3":5,"4":6,"5":7,"6":8,"7":10,"9":12,"10":13,"11":14,"12":15,"13":16,"15":18,"16":19,"18":21,"19":22,"20":23,"21":24,"22":25,"23":26,"24":27,"25":28,"26":29,"28":31,"30":33,"31":34,"32":35,"34":37,"35":38,"36":39,"37":40,"38":41,"39":42,"40":43,"41":44,"42":45,"43":46,"44":48,"45":49,"46":50,"47":51,"49":53,"50":54,"51":55,"52":56,"54":58,"55":59,"58":63,"59":64,"60":65,"61":66,"63":68,"64":69,"66":71,"69":76,"70":77,"71":78,"72":79,"73":80,"74":81,"75":82,"76":84,"77":85,"78":86,"79":87,"81":89,"84":92,"85":93,"86":94,"87":95,"88":96,"89":97,"90":98,"91":99,"93":101,"94":102,"95":103,"96":105,"97":106,"99":108,"102":111,"103":112,"104":113,"105":114,"106":115,"107":116,"108":117,"109":118,"110":119,"111":120,"112":122,"113":123,"114":124,"117":128,"118":129,"121":134,"122":135,"123":136,"124":137,"125":138,"126":139,"128":141,"129":143,"130":145,"131":146,"132":147,"133":148,"134":149,"135":150,"136":151,"137":152,"139":154,"141":156,"142":157,"143":158,"144":159,"145":160,"146":161,"147":162,"148":163,"149":164,"150":165,"151":166,"152":167,"154":169,"155":170,"156":171,"158":174,"160":176,"162":178,"163":179,"164":180,"165":181,"166":182,"167":183,"168":184,"169":185,"170":186,"172":189,"173":190,"174":191,"176":193,"178":195,"179":196,"180":197,"181":198,"182":199,"183":200,"184":201,"185":203,"186":204,"187":205,"188":206,"189":208,"190":209,"191":210,"192":211,"194":213,"195":214,"196":215,"197":216,"198":217,"199":218,"200":219,"201":220,"202":221,"203":222,"204":223,"205":224,"206":225,"207":226,"208":227,"209":228,"210":229,"211":230,"212":231,"213":232,"215":234,"216":235,"217":236,"218":237,"219":238,"220":239,"221":240,"222":241,"223":242,"224":243,"225":245,"226":246,"227":247,"228":248,"229":249,"230":250,"232":252,"233":253,"234":254,"235":255,"236":256,"238":258,"239":259,"240":260,"241":261,"242":262,"243":263,"245":265,"246":266,"247":269,"249":272,"250":273,"252":275,"253":276,"254":277,"255":278,"256":279,"258":281,"259":282,"260":283,"261":284,"262":285,"263":286,"264":287,"266":289,"267":290,"268":291,"269":292,"270":293,"271":294,"272":295,"273":297,"274":298,"275":299,"276":300,"277":301,"278":302,"279":303,"280":304,"281":306,"282":307,"283":308,"284":310,"286":313,"287":314,"288":315,"289":316,"290":317,"291":318,"292":319,"293":320,"294":321,"295":322,"296":323,"297":324,"301":328,"304":331,"305":332,"307":334,"308":335,"309":336,"310":337,"311":338,"312":339,"313":340,"315":342,"316":343,"317":344,"319":346,"320":347,"322":349,"323":350,"324":351,"326":353,"327":354,"328":355,"329":356,"330":357,"331":359,"332":360,"333":361,"334":363,"335":364,"336":365,"337":366,"338":367,"340":371,"341":372,"342":373,"343":374,"344":375,"345":376,"346":377,"347":378,"348":379,"349":380,"351":382,"353":384,"354":385,"357":388,"358":389,"359":390,"360":391,"361":392,"366":398,"368":400,"369":401,"370":402,"371":403,"373":405,"374":406,"375":408,"378":411,"380":413,"381":414,"382":415,"383":416,"385":418,"386":420,"387":421,"389":423,"390":424,"391":425,"392":426,"393":427,"394":428,"395":429,"396":430,"397":431,"398":432,"399":433,"400":434,"401":435,"402":436,"404":438,"405":439,"406":440,"407":441,"408":442,"409":443,"410":444,"411":445,"412":446,"413":447,"415":449,"416":450,"417":451,"418":452,"419":453,"420":455,"421":456,"424":459,"425":460,"426":461,"427":462,"428":463,"429":464,"430":465,"431":466,"432":467,"433":468,"434":469,"435":470,"437":472,"438":473,"439":474,"440":475,"442":477,"443":478,"444":479,"446":481,"447":482,"448":483,"449":484,"450":485,"451":486,"452":487,"453":488,"454":489,"455":490,"456":491,"457":492,"458":493,"459":494,"460":495,"461":497,"462":498,"463":499,"464":500,"465":501,"466":502,"467":503,"468":504,"469":505,"470":506,"471":507,"472":508,"473":509,"474":510,"475":511,"476":515,"477":526,"478":528,"479":531,"480":532,"481":536,"482":540,"483":547,"484":554,"485":564,"486":567,"487":569,"489":585,"490":594,"491":597,"492":600,"493":603,"494":604,"495":612,"496":616,"497":619,"498":621,"499":634,"500":637,"501":638,"502":643,"503":645,"504":648,"505":660,"507":667,"508":669,"509":677,"510":687,"511":688,"512":691,"513":699,"514":700,"515":701,"516":706,"517":712,"519":716,"520":717,"521":726,"522":733,"523":734,"524":737,"525":754,"527":757,"528":758,"529":759,"530":772,"531":780,"532":788,"533":791,"534":812,"535":814,"536":825,"537":826,"538":829,"539":830,"540":831,"541":835,"542":848,"543":859,"544":861,"546":872,"548":886,"549":893,"550":894,"551":905,"552":919,"553":920,"554":921,"555":927,"556":940,"557":945,"558":952,"559":960,"560":969,"561":972,"562":975,"564":990,"565":997,"567":1006,"568":1007},{"0":0,"1":4,"2":9,"3":47,"4":60,"5":72,"6":75,"7":83,"8":104,"9":121,"10":126,"11":130,"12":132,"13":142,"14":144,"15":172,"16":188,"17":202,"19":244,"20":267,"21":268,"22":270,"23":296,"24":305,"25":309,"26":312,"27":358,"28":362,"29":370,"30":394,"31":407,"32":419,"33":454,"34":496,"35":521,"36":525,"37":527,"39":542,"40":544,"41":551,"42":555,"43":557,"44":559,"45":571,"46":579,"47":581,"48":590,"49":593,"50":596,"51":599,"52":608,"53":611,"54":622,"55":641,"56":649,"57":652,"58":657,"59":658,"60":659,"61":668,"62":670,"63":671,"64":680,"66":682,"67":690,"69":698,"70":705,"71":707,"72":708,"73":711,"74":729,"75":740,"76":752,"77":760,"78":762,"79":764,"81":771,"82":773,"83":776,"84":778,"85":781,"86":783,"87":784,"88":787,"89":789,"90":793,"91":798,"92":799,"93":804,"94":805,"95":807,"96":808,"97":827,"98":833,"99":840,"100":844,"101":846,"102":847,"104":860,"105":863,"106":864,"107":877,"108":878,"109":883,"110":885,"111":898,"112":906,"113":908,"114":910,"115":913,"116":915,"117":917,"118":923,"119":925,"120":929,"121":930,"122":933,"123":934,"124":936,"125":941,"126":942,"128":946,"129":947,"130":949,"131":950,"132":958,"133":963,"134":967,"135":987,"136":998,"137":1004,"138":1011,"139":1017,"140":1023},{"0":368,"1":512,"2":537,"3":543,"4":549,"5":562,"6":572,"7":580,"8":589,"9":591,"10":598,"11":602,"12":609,"14":629,"15":631,"16":635,"17":639,"18":665,"19":697,"20":702,"21":703,"22":719,"23":721,"24":732,"25":738,"26":739,"28":746,"29":761,"31":797,"32":813,"33":822,"34":824,"35":841,"36":868,"37":870,"38":880,"39":887,"40":899,"41":900,"42":907,"43":926,"44":931,"45":935,"46":953,"47":956,"48":961,"49":962,"50":992,"51":994,"52":996,"53":1000,"54":1008,"55":1021},{"0":522,"2":534,"3":535,"4":546,"5":556,"6":563,"7":574,"8":576,"9":583,"10":601,"11":605,"12":614,"13":630,"14":644,"15":651,"16":655,"17":673,"18":674,"19":694,"20":695,"22":724,"23":731,"25":749,"26":750,"27":767,"28":785,"29":790,"30":802,"31":810,"32":816,"34":823,"35":838,"36":867,"37":875,"38":876,"39":881,"40":902,"41":922,"42":924,"43":932,"44":948,"45":966,"46":981,"47":984,"48":985,"49":988,"50":1003,"51":1005,"53":1014,"54":1020},{"0":520,"1":524,"2":539,"3":541,"4":548,"5":552,"6":575,"7":578,"8":607,"9":617,"10":625,"11":646,"13":704,"14":709,"15":710,"16":718,"17":722,"18":727,"19":748,"20":765,"21":774,"22":777,"23":794,"24":806,"25":821,"26":843,"27":853,"28":856,"29":873,"30":884,"31":903,"32":912,"33":914,"34":938,"35":939,"37":970,"39":976,"40":977,"41":1001,"42":1015,"43":1016},{"0":553,"1":560,"2":586,"3":587,"4":632,"5":647,"6":654,"7":656,"8":666,"9":675,"10":676,"11":678,"12":679,"13":683,"14":685,"15":689,"16":792,"17":815,"18":817,"19":834,"20":836,"21":839,"22":851,"23":855,"24":858,"25":862,"26":889,"27":892,"28":901,"29":937,"30":965,"32":989,"33":1012,"34":1019},{"0":513,"1":523,"2":566,"3":570,"4":618,"5":633,"6":642,"7":653,"8":661,"9":664,"11":720,"12":728,"13":730,"14":735,"15":753,"16":775,"17":786,"18":828,"20":890,"21":896,"22":918,"23":954,"24":968,"25":1009,"27":1018},[519,558,573,577,606,615,636,751,755,763,770,801,811,845,871,882,951,979,991],{"1":517,"2":530,"3":610,"4":620,"5":626,"6":627,"7":650,"8":672,"9":713,"10":723,"11":745,"12":768,"13":782,"14":795,"15":809,"16":849,"18":869,"19":904,"20":973,"21":999},{"0":529,"1":561,"2":568,"4":613,"5":628,"7":684,"8":725,"9":897,"10":916,"11":993,"12":995,"13":1022},[514,545,588,595,663,741,747,800,803,959,980],[715,779,820,837,850,854,909,955,986],[518,550,565,766,832,891,928,964,983],[852,879,911,982],[624,736,743,957],[584,842,895],[]]