[{"0":0,"1":1,"2":2,"3":3,"5":6,"6":7,"7":8,"9":10,"10":11,"11":12,"12":14,"13":15,"14":17,"15":18,"16":19,"17":20,"18":21,"19":22,"22":25,"25":28,"28":31,"29":32,"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":47,"45":48,"46":49,"47":50,"48":51,"50":53,"51":54,"52":55,"53":56,"54":57,"55":59,"56":60,"57":61,"59":64,"60":65,"63":68,"64":69,"65":71,"66":72,"67":73,"69":75,"70":76,"71":77,"73":79,"74":80,"75":81,"76":82,"77":83,"80":87,"81":88,"82":89,"83":90,"85":93,"86":94,"87":95,"88":96,"89":97,"90":98,"92":101,"93":102,"94":104,"95":105,"96":106,"97":107,"98":108,"99":110,"100":111,"101":112,"102":114,"103":116,"105":118,"106":119,"107":120,"108":121,"109":122,"110":123,"112":125,"113":126,"115":128,"116":129,"117":130,"118":131,"119":132,"120":133,"121":134,"122":135,"125":138,"126":139,"127":140,"128":141,"129":142,"131":144,"132":145,"133":146,"134":147,"135":148,"137":151,"138":152,"139":153,"140":154,"141":155,"142":156,"143":157,"144":158,"145":159,"146":160,"147":161,"148":162,"149":163,"150":164,"151":165,"152":166,"154":168,"155":169,"156":170,"157":171,"158":172,"159":173,"160":174,"162":176,"163":178,"164":180,"165":181,"166":182,"167":183,"168":184,"169":185,"170":186,"171":187,"173":189,"174":190,"175":191,"176":192,"177":193,"178":195,"179":196,"181":198,"184":201,"185":202,"186":203,"187":204,"188":205,"190":207,"192":209,"193":211,"194":212,"195":213,"196":214,"197":215,"198":216,"199":217,"200":218,"201":219,"202":220,"203":223,"204":224,"205":225,"206":226,"207":227,"208":229,"209":230,"210":231,"211":233,"212":234,"213":235,"214":236,"215":237,"216":239,"217":240,"218":241,"219":242,"220":243,"221":244,"222":245,"223":246,"224":248,"225":249,"226":250,"227":251,"228":252,"229":253,"230":254,"231":255,"233":257,"234":258,"235":259,"236":260,"237":261,"238":262,"239":263,"240":264,"242":267,"243":268,"244":269,"245":270,"246":271,"247":272,"248":273,"249":274,"250":275,"251":276,"252":277,"255":280,"256":281,"257":282,"259":284,"260":285,"261":286,"262":287,"263":288,"264":289,"265":290,"267":292,"268":293,"269":294,"270":295,"272":297,"273":298,"274":299,"275":300,"276":301,"277":302,"278":303,"279":304,"280":305,"281":306,"282":307,"283":308,"286":311,"287":312,"288":313,"290":315,"291":316,"292":317,"293":318,"294":320,"296":322,"297":323,"298":324,"299":325,"300":326,"301":329,"302":330,"303":331,"304":332,"305":334,"306":335,"307":336,"308":337,"309":338,"310":339,"311":340,"312":341,"313":342,"314":344,"315":345,"316":346,"317":347,"318":348,"320":350,"321":351,"322":353,"323":354,"324":355,"325":357,"326":358,"327":359,"328":360,"329":361,"330":362,"331":363,"332":364,"333":366,"334":367,"335":368,"336":369,"337":370,"339":372,"340":373,"341":374,"342":376,"343":377,"344":378,"345":380,"346":381,"348":383,"349":384,"350":385,"351":386,"352":387,"353":388,"354":389,"355":390,"356":391,"357":392,"358":393,"359":394,"360":395,"361":396,"362":397,"363":398,"364":399,"365":400,"366":402,"367":403,"368":404,"369":405,"370":406,"371":407,"372":408,"373":409,"374":410,"375":411,"376":412,"377":413,"378":414,"381":417,"382":418,"383":420,"385":422,"386":423,"387":424,"388":425,"389":426,"390":427,"391":428,"392":429,"393":430,"394":431,"395":432,"396":433,"397":434,"398":435,"399":436,"400":437,"401":438,"402":439,"403":440,"404":441,"405":442,"407":444,"408":445,"409":446,"410":447,"411":449,"412":451,"414":453,"415":454,"416":455,"417":456,"420":459,"421":461,"423":463,"424":464,"425":465,"426":466,"427":467,"428":468,"429":469,"430":471,"431":472,"432":473,"433":474,"434":475,"435":476,"436":477,"437":478,"438":479,"439":481,"440":482,"442":484,"443":485,"444":486,"445":487,"446":488,"447":489,"448":490,"449":491,"450":492,"451":493,"452":494,"453":496,"454":497,"455":498,"456":499,"457":501,"458":502,"459":503,"460":504,"461":505,"462":506,"463":507,"464":509,"465":510,"466":511,"467":513,"468":514,"469":515,"470":520,"472":523,"473":528,"474":533,"475":535,"476":537,"478":543,"479":544,"480":549,"481":550,"482":553,"483":554,"484":557,"485":560,"486":561,"487":567,"488":570,"489":572,"490":573,"491":575,"492":576,"493":580,"494":584,"495":587,"496":588,"497":594,"498":597,"499":601,"500":604,"501":609,"502":610,"503":618,"504":624,"505":626,"506":627,"507":630,"508":632,"509":633,"510":634,"511":635,"512":638,"513":641,"514":649,"515":650,"516":651,"517":655,"518":659,"519":661,"520":664,"521":666,"522":667,"523":668,"524":670,"525":671,"526":672,"527":675,"528":677,"529":679,"530":681,"531":687,"532":688,"533":690,"534":691,"535":692,"536":694,"537":696,"538":697,"539":701,"540":703,"541":707,"542":710,"543":715,"544":716,"545":718,"546":721,"547":723,"548":726,"549":738,"550":740,"551":741,"552":743,"553":747,"554":753,"555":754,"556":755,"557":757,"558":760,"559":761,"560":765,"561":767,"562":779,"563":781,"564":786,"565":787,"567":794,"568":796,"569":797,"570":798,"571":799,"572":801,"573":802,"574":806,"575":807,"577":816,"578":819,"579":820,"580":822,"581":828,"582":832,"583":835,"584":837,"585":838,"586":841,"587":842,"588":846,"589":850,"590":851,"591":852,"592":856,"593":859,"594":863,"596":868,"597":870,"598":871,"599":874,"600":876,"601":879,"602":880,"603":881,"604":887,"605":889,"606":892,"607":894,"608":896,"609":900,"610":901,"611":908,"612":910,"613":911,"614":914,"615":915,"616":919,"617":920,"618":921,"619":922,"620":923,"621":924,"622":926,"623":927,"624":929,"625":933,"626":936,"627":940,"628":943,"629":944,"630":945,"631":949,"632":952,"634":955,"635":956,"636":957,"637":958,"638":959,"639":962,"640":963,"641":964,"642":970,"643":971,"644":976,"645":978,"646":979,"647":982,"648":984,"649":985,"650":987,"651":988,"652":990,"653":991,"654":992,"655":993,"656":998,"657":1003,"658":1005,"659":1006,"660":1007,"661":1011,"662":1012,"663":1013,"664":1014,"665":1015,"666":1020,"667":1022},{"0":4,"1":13,"2":16,"3":63,"4":70,"5":85,"6":91,"7":100,"8":103,"9":109,"10":113,"12":150,"13":179,"14":194,"15":210,"16":221,"17":222,"18":228,"19":232,"20":238,"21":265,"22":319,"23":327,"24":328,"25":333,"26":356,"27":375,"28":401,"29":419,"30":448,"32":460,"33":470,"34":480,"35":495,"36":500,"37":508,"38":517,"39":519,"40":527,"41":534,"42":541,"43":545,"44":551,"45":558,"46":562,"47":564,"48":568,"49":571,"50":582,"51":583,"52":589,"53":593,"54":596,"55":599,"56":608,"57":613,"58":617,"59":623,"60":625,"61":642,"62":644,"63":645,"64":646,"65":662,"66":669,"67":673,"68":680,"69":695,"70":700,"71":717,"72":719,"73":720,"75":727,"76":730,"77":733,"78":739,"80":745,"81":746,"82":756,"83":758,"84":759,"85":762,"86":774,"87":776,"88":777,"89":790,"90":793,"91":803,"92":808,"93":813,"94":814,"95":817,"96":823,"97":825,"98":830,"99":831,"100":836,"102":840,"103":864,"104":866,"105":872,"107":875,"108":877,"109":883,"110":884,"111":890,"112":891,"113":893,"114":902,"115":905,"117":912,"118":916,"119":918,"120":928,"121":932,"122":939,"123":950,"124":966,"125":973,"126":974,"127":975,"128":977,"129":980,"130":996,"131":1001,"133":1008,"134":1017},{"0":58,"1":177,"2":247,"3":343,"4":352,"5":365,"6":379,"7":521,"8":524,"10":531,"11":532,"12":538,"13":548,"14":563,"15":566,"16":586,"17":590,"18":592,"19":600,"20":605,"21":636,"22":643,"23":660,"24":704,"25":709,"26":713,"27":724,"28":728,"30":766,"31":784,"32":792,"33":809,"34":811,"35":818,"36":826,"37":843,"38":861,"39":869,"40":904,"41":917,"42":931,"43":942,"44":946,"45":1010,"46":1021},{"0":542,"1":546,"2":565,"3":574,"4":581,"5":585,"6":591,"7":611,"8":631,"9":640,"10":647,"11":653,"12":658,"13":684,"14":699,"15":714,"16":750,"17":763,"18":768,"19":800,"20":812,"21":824,"22":827,"23":833,"24":844,"25":847,"26":858,"27":934,"29":954,"30":960,"31":968,"32":994,"33":997,"34":1000},{"0":539,"1":556,"2":579,"4":614,"5":620,"6":637,"7":663,"8":678,"9":682,"10":708,"11":734,"12":736,"13":748,"14":778,"15":780,"16":782,"17":788,"18":804,"20":834,"21":845,"22":888,"23":897,"24":899,"25":907,"26":935,"27":937,"28":969,"29":983},{"0":512,"1":530,"2":555,"3":577,"4":639,"5":652,"7":656,"8":657,"9":674,"10":685,"11":729,"12":744,"13":771,"14":775,"15":805,"16":815,"17":886,"18":948,"19":981,"20":999,"21":1004,"23":1019},[518,615,619,629,686,693,711,725,731,764,772,862,878,885,895,898,906,925,986,995],{"0":536,"1":552,"2":595,"3":606,"4":612,"5":621,"6":622,"7":683,"8":689,"10":702,"11":706,"12":712,"13":735,"14":751,"15":795,"16":848,"17":849,"18":947,"19":1018,"20":1023},{"0":559,"1":569,"3":705,"4":749,"5":783,"6":853,"7":855,"8":867,"9":938,"10":941},{"0":607,"1":732,"3":773,"4":791,"5":821,"6":903,"7":930,"8":961,"9":1009},[529,578,628,913],{"1":616,"2":648,"3":676,"4":737,"5":854,"6":857,"7":860,"8":965,"10":989},{"0":516,"1":525,"5":882},[]]