[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":7,"7":8,"8":9,"9":11,"10":12,"11":13,"12":14,"13":15,"14":16,"15":17,"16":18,"17":19,"18":21,"19":22,"20":23,"21":25,"22":26,"23":27,"24":28,"25":31,"26":33,"27":34,"28":36,"29":37,"30":38,"31":39,"32":40,"33":41,"34":42,"35":43,"36":44,"37":45,"38":46,"39":48,"40":49,"41":50,"42":51,"43":52,"44":53,"45":54,"46":55,"47":57,"48":59,"50":61,"51":62,"52":63,"53":64,"54":65,"55":66,"56":67,"57":68,"58":69,"59":70,"60":71,"61":72,"62":73,"63":74,"65":76,"66":77,"67":78,"70":81,"71":82,"72":83,"74":85,"75":86,"76":88,"77":89,"78":90,"79":91,"80":93,"81":94,"82":95,"83":96,"84":97,"85":99,"86":100,"87":101,"88":102,"89":103,"90":104,"91":105,"92":106,"93":107,"94":108,"95":109,"96":110,"97":112,"98":113,"99":114,"100":115,"101":116,"102":118,"103":119,"104":120,"105":121,"107":123,"108":124,"109":125,"110":126,"111":127,"112":128,"113":129,"114":130,"115":131,"116":133,"117":134,"118":135,"119":136,"120":137,"121":138,"122":140,"123":141,"124":142,"125":143,"126":144,"127":145,"128":146,"129":147,"130":148,"131":149,"132":150,"133":151,"134":152,"135":153,"136":154,"137":155,"138":156,"139":157,"140":158,"141":159,"142":160,"143":161,"144":162,"145":163,"146":164,"147":165,"148":167,"149":168,"150":170,"151":171,"152":172,"153":174,"154":176,"155":177,"156":178,"158":180,"159":181,"160":182,"161":183,"162":184,"163":186,"164":187,"165":188,"166":189,"167":190,"168":191,"169":192,"170":193,"171":194,"172":195,"173":196,"174":197,"175":198,"176":199,"177":200,"178":201,"179":202,"180":203,"181":204,"182":205,"183":206,"184":207,"185":208,"186":209,"187":210,"188":211,"189":212,"190":214,"191":215,"192":216,"193":217,"194":218,"195":219,"196":220,"197":221,"198":222,"199":223,"200":224,"201":225,"202":226,"203":227,"204":228,"205":229,"206":230,"207":231,"208":232,"209":233,"210":234,"211":237,"212":238,"213":239,"214":240,"215":241,"216":242,"217":245,"218":246,"219":247,"220":248,"221":250,"222":251,"223":252,"224":253,"225":254,"226":255,"227":256,"228":257,"229":258,"230":259,"231":260,"232":261,"233":263,"234":264,"235":265,"236":266,"237":267,"238":268,"239":269,"240":270,"241":271,"242":272,"243":273,"244":274,"245":275,"246":276,"247":277,"248":278,"249":279,"251":283,"252":284,"253":285,"254":286,"255":288,"256":289,"257":290,"258":292,"259":293,"260":294,"261":296,"262":297,"263":298,"264":299,"265":300,"266":301,"267":302,"268":304,"269":305,"270":306,"271":308,"272":309,"273":310,"274":311,"276":313,"277":314,"278":315,"279":316,"280":317,"281":318,"282":319,"283":320,"285":322,"286":323,"287":324,"288":325,"289":326,"290":328,"291":329,"292":330,"293":332,"294":333,"295":334,"296":335,"297":336,"298":338,"299":339,"300":340,"301":341,"302":342,"303":343,"304":344,"305":345,"306":346,"307":347,"308":348,"309":349,"310":350,"311":351,"312":352,"313":353,"314":355,"315":356,"316":357,"317":358,"318":359,"319":360,"320":361,"321":362,"322":363,"323":364,"324":365,"325":367,"326":368,"327":370,"328":371,"329":372,"330":373,"331":374,"332":375,"333":376,"334":377,"335":378,"336":379,"337":380,"338":381,"339":383,"340":384,"341":386,"342":387,"343":388,"344":389,"345":390,"346":391,"348":394,"349":395,"350":396,"351":397,"352":398,"353":400,"354":401,"355":402,"357":404,"358":406,"359":407,"360":409,"361":410,"362":411,"363":413,"364":414,"365":416,"366":418,"367":419,"368":420,"369":421,"370":424,"371":425,"372":426,"373":427,"374":428,"375":429,"376":431,"377":432,"378":433,"379":434,"380":435,"381":436,"382":437,"383":438,"384":439,"385":440,"386":442,"387":443,"388":444,"389":445,"390":447,"392":450,"393":451,"394":452,"395":453,"396":454,"397":455,"398":456,"399":457,"400":458,"401":459,"402":460,"403":461,"404":462,"405":463,"406":464,"407":465,"408":466,"409":467,"410":468,"411":469,"412":470,"413":471,"414":472,"415":473,"416":474,"417":477,"418":479,"419":480,"420":481,"421":482,"422":483,"423":484,"424":486,"425":487,"426":488,"427":489,"428":490,"429":491,"430":492,"431":493,"432":494,"433":495,"434":496,"435":497,"436":498,"437":499,"438":501,"439":502,"440":503,"441":504,"442":505,"443":506,"444":507,"445":508,"446":509,"447":510,"448":511,"449":513,"450":514,"451":516,"452":518,"453":520,"454":522,"455":523,"456":524,"457":525,"458":526,"459":532,"460":533,"461":535,"462":537,"463":541,"464":542,"465":544,"466":545,"467":549,"468":553,"469":556,"470":558,"471":559,"472":561,"473":562,"474":563,"475":565,"476":567,"477":568,"478":570,"479":571,"480":573,"481":574,"482":576,"483":579,"484":580,"485":582,"486":583,"487":584,"488":585,"489":586,"490":587,"491":588,"492":589,"493":595,"494":597,"495":600,"496":602,"497":603,"498":606,"499":609,"500":610,"501":611,"502":612,"503":614,"504":616,"505":619,"506":623,"507":624,"508":628,"509":631,"510":634,"511":635,"512":639,"513":641,"514":645,"515":647,"516":648,"517":651,"518":652,"519":653,"520":655,"521":657,"522":658,"523":661,"524":662,"525":666,"526":667,"527":668,"528":669,"529":671,"530":673,"531":674,"532":677,"533":678,"534":679,"535":680,"536":682,"537":683,"538":685,"539":686,"540":691,"541":693,"542":697,"543":701,"544":704,"545":705,"546":707,"547":708,"548":709,"549":710,"550":711,"551":714,"552":715,"553":716,"554":719,"555":720,"556":722,"557":723,"558":724,"559":725,"560":728,"561":729,"562":735,"563":737,"564":738,"565":739,"566":741,"567":746,"568":747,"569":748,"570":749,"571":751,"572":754,"573":762,"574":764,"575":765,"576":770,"577":771,"578":772,"579":773,"580":776,"581":777,"582":785,"583":788,"584":789,"585":790,"586":791,"587":793,"588":798,"589":799,"590":802,"591":804,"592":805,"593":808,"594":809,"595":810,"596":814,"597":820,"598":821,"599":822,"600":824,"601":825,"602":826,"603":828,"604":829,"605":831,"606":834,"607":836,"608":838,"609":841,"610":843,"611":845,"612":852,"613":856,"614":857,"615":862,"616":864,"617":866,"618":868,"619":870,"620":871,"621":875,"622":880,"623":881,"624":890,"625":893,"626":897,"627":898,"628":899,"629":901,"630":904,"631":908,"632":910,"633":912,"634":913,"635":914,"636":915,"637":917,"638":918,"639":920,"640":921,"641":923,"642":924,"643":925,"644":926,"645":928,"646":929,"647":931,"648":932,"649":933,"650":934,"651":936,"652":938,"653":941,"654":944,"655":945,"656":946,"657":947,"658":948,"659":949,"660":952,"661":955,"662":957,"663":962,"664":966,"665":968,"666":969,"667":972,"668":975,"669":976,"670":977,"671":979,"672":982,"673":984,"674":985,"675":987,"676":988,"677":994,"678":997,"679":999,"680":1001,"681":1004,"682":1005,"683":1007,"684":1009,"685":1010,"686":1011,"687":1012,"688":1013,"689":1015,"690":1017,"691":1019,"692":1020},{"0":6,"1":10,"2":20,"3":24,"4":29,"5":30,"6":32,"7":35,"8":47,"9":56,"10":58,"11":87,"12":92,"13":98,"14":111,"15":117,"16":132,"17":139,"18":166,"19":169,"20":175,"21":185,"22":213,"23":235,"24":243,"25":244,"26":249,"27":262,"28":280,"29":281,"30":287,"31":291,"32":295,"33":303,"34":307,"35":327,"36":331,"37":337,"38":354,"39":366,"40":369,"41":382,"42":385,"43":393,"44":399,"45":405,"46":408,"47":412,"48":415,"49":417,"50":422,"51":423,"52":430,"53":441,"54":446,"55":449,"56":475,"57":476,"58":478,"59":485,"60":500,"61":515,"62":517,"63":519,"64":521,"65":527,"66":528,"67":529,"68":530,"69":534,"70":536,"71":540,"72":546,"73":547,"74":550,"75":551,"76":555,"77":557,"78":560,"79":566,"80":569,"81":575,"82":577,"83":578,"84":581,"85":591,"86":594,"87":596,"88":601,"89":605,"90":607,"91":615,"92":617,"93":618,"94":620,"95":622,"96":627,"97":630,"98":632,"99":636,"100":637,"101":638,"102":643,"103":644,"104":654,"105":656,"106":660,"107":663,"108":664,"109":670,"110":675,"111":684,"112":690,"113":695,"114":698,"115":699,"116":702,"117":703,"118":712,"119":717,"120":718,"121":732,"122":733,"123":734,"124":736,"125":742,"126":744,"127":745,"128":752,"129":755,"130":757,"131":758,"132":759,"133":760,"134":761,"135":763,"136":767,"137":769,"138":774,"139":775,"140":778,"141":780,"142":783,"143":784,"144":786,"145":795,"147":803,"148":806,"149":811,"150":812,"152":819,"153":832,"154":833,"155":835,"156":837,"157":842,"158":844,"159":847,"160":848,"161":850,"162":853,"163":854,"164":860,"165":863,"166":865,"167":867,"168":873,"169":874,"170":878,"171":879,"172":883,"173":884,"174":885,"175":886,"176":887,"177":891,"178":894,"179":896,"180":902,"181":903,"182":905,"183":906,"184":909,"185":911,"186":922,"187":927,"188":935,"189":940,"190":943,"191":951,"192":953,"193":956,"194":961,"195":965,"196":971,"197":973,"198":978,"199":980,"200":981,"201":983,"202":986,"203":989,"204":990,"205":992,"206":995,"207":996,"208":998,"209":1002,"210":1003,"211":1008,"212":1014,"213":1016,"214":1018,"215":1021,"216":1022},{"0":173,"1":236,"2":512,"3":531,"4":538,"5":543,"6":548,"7":552,"8":564,"9":590,"10":592,"11":593,"12":598,"13":599,"14":613,"15":626,"16":629,"17":633,"18":640,"19":642,"21":649,"22":650,"23":659,"24":672,"25":676,"26":681,"27":687,"28":688,"29":689,"30":692,"31":721,"32":726,"33":727,"34":730,"35":731,"36":740,"37":743,"38":753,"39":768,"40":781,"41":782,"42":792,"43":794,"44":796,"45":797,"46":801,"47":815,"48":823,"49":839,"51":859,"53":877,"54":889,"55":900,"56":907,"57":916,"58":919,"59":937,"60":939,"61":942,"62":950,"63":954,"64":958,"65":959,"66":963,"68":974,"69":993,"70":1000,"71":1006},{"1":554,"4":608,"5":621,"6":625,"7":665,"9":706,"10":713,"11":766,"17":817,"18":827,"19":830,"21":849,"22":851,"24":876,"25":888,"27":960,"29":1023},{"4":970},[],[],[]]