[{"0":0,"1":2,"2":4,"3":5,"4":6,"5":7,"6":8,"7":9,"8":10,"9":11,"11":13,"12":14,"13":15,"14":16,"15":17,"16":18,"17":19,"18":21,"19":22,"20":23,"23":26,"24":27,"25":28,"26":30,"27":31,"28":32,"29":33,"30":35,"31":36,"32":37,"33":38,"34":39,"35":40,"36":41,"37":42,"39":44,"40":45,"41":46,"43":48,"44":49,"45":50,"46":51,"47":52,"48":53,"49":54,"50":55,"51":58,"52":60,"54":62,"55":63,"56":64,"57":65,"59":67,"60":68,"61":69,"62":70,"63":71,"65":73,"66":74,"67":75,"68":76,"69":77,"70":78,"71":80,"72":81,"73":82,"74":83,"75":87,"76":89,"77":90,"78":91,"79":92,"80":93,"81":94,"82":95,"83":96,"84":97,"85":98,"86":99,"87":100,"88":101,"89":103,"90":104,"91":105,"92":106,"93":107,"94":108,"95":109,"96":110,"98":115,"99":116,"100":118,"101":119,"102":120,"103":121,"104":122,"105":123,"107":125,"108":126,"109":127,"110":128,"111":129,"112":130,"113":131,"114":132,"115":133,"116":134,"117":136,"118":137,"119":138,"120":139,"121":140,"122":141,"123":142,"124":143,"125":145,"126":146,"127":147,"128":148,"129":149,"132":152,"133":153,"134":154,"135":155,"136":156,"137":157,"138":159,"139":160,"140":161,"141":162,"142":164,"143":165,"144":166,"145":167,"146":168,"147":169,"148":170,"149":171,"150":172,"151":174,"152":175,"153":176,"154":178,"155":179,"156":181,"157":183,"158":184,"159":185,"160":186,"161":187,"162":188,"163":189,"164":190,"165":191,"166":192,"167":193,"168":194,"169":195,"170":196,"171":197,"172":198,"173":199,"174":201,"175":202,"176":204,"177":205,"178":207,"179":209,"180":210,"181":211,"182":212,"183":213,"184":214,"185":216,"186":217,"187":218,"188":219,"189":220,"190":221,"191":222,"192":223,"193":225,"194":226,"195":227,"196":228,"197":229,"198":230,"199":231,"200":232,"201":234,"202":235,"203":238,"204":239,"205":240,"206":241,"207":242,"208":243,"209":246,"210":247,"211":248,"212":249,"213":252,"214":254,"215":255,"216":256,"217":257,"218":258,"219":259,"221":261,"222":262,"224":264,"225":265,"226":266,"227":267,"229":269,"230":270,"231":271,"232":272,"233":273,"234":274,"235":275,"236":276,"237":277,"238":278,"239":279,"241":282,"242":283,"243":284,"244":285,"245":286,"246":290,"247":291,"248":292,"249":293,"250":294,"251":295,"252":297,"253":298,"254":299,"256":301,"258":303,"259":304,"260":306,"261":307,"262":308,"263":309,"264":310,"265":311,"266":314,"267":315,"268":316,"269":317,"270":318,"271":319,"272":321,"273":322,"274":323,"275":324,"276":325,"277":326,"278":327,"279":328,"280":329,"281":332,"282":333,"283":334,"284":335,"285":336,"286":337,"287":338,"288":339,"289":340,"290":341,"291":342,"292":343,"293":344,"294":346,"295":347,"296":348,"297":350,"298":351,"299":352,"300":353,"303":358,"306":362,"307":363,"308":365,"309":366,"311":368,"312":369,"313":370,"314":371,"315":372,"316":374,"318":376,"319":377,"320":378,"321":380,"322":381,"323":382,"324":383,"325":384,"326":385,"327":387,"328":388,"329":389,"330":390,"331":391,"332":392,"333":394,"334":395,"335":396,"336":398,"337":399,"339":401,"340":402,"341":403,"342":404,"343":405,"344":406,"345":407,"346":408,"348":410,"350":413,"351":414,"352":415,"354":417,"355":418,"356":419,"357":420,"358":421,"359":422,"360":423,"361":424,"362":425,"363":426,"364":427,"365":428,"366":429,"367":430,"368":431,"369":432,"370":433,"371":434,"372":435,"373":437,"375":440,"376":441,"377":442,"378":443,"379":445,"380":448,"381":449,"382":450,"383":452,"384":453,"385":454,"386":455,"387":456,"388":457,"389":458,"390":459,"391":460,"392":461,"393":462,"394":463,"395":464,"396":465,"397":466,"398":467,"399":468,"400":469,"401":470,"402":472,"403":473,"404":474,"405":475,"406":476,"407":477,"408":479,"409":481,"410":482,"411":484,"412":485,"413":486,"414":487,"415":488,"416":491,"417":492,"418":494,"419":495,"420":496,"421":498,"422":499,"423":501,"424":502,"425":503,"426":504,"427":505,"428":506,"429":507,"430":508,"431":509,"432":510,"433":513,"434":518,"435":519,"436":520,"437":523,"438":524,"439":530,"440":532,"441":533,"442":540,"443":542,"444":544,"445":545,"446":546,"447":547,"448":550,"449":552,"450":554,"451":556,"452":557,"453":558,"454":559,"455":562,"456":563,"457":564,"458":565,"459":571,"460":575,"461":576,"462":578,"463":580,"464":583,"465":590,"466":591,"467":593,"468":595,"469":597,"470":599,"471":600,"472":604,"473":608,"474":610,"475":616,"476":621,"477":622,"478":624,"479":625,"480":630,"481":632,"482":633,"483":638,"484":639,"485":640,"486":642,"487":645,"488":652,"489":654,"490":655,"491":656,"492":657,"493":658,"494":659,"495":660,"496":661,"497":664,"498":669,"499":670,"500":671,"501":674,"502":676,"503":677,"504":683,"505":685,"506":687,"507":690,"508":691,"509":692,"510":693,"511":695,"512":697,"513":700,"514":701,"515":707,"516":708,"517":712,"518":713,"519":716,"520":719,"521":721,"522":727,"523":729,"524":732,"525":733,"526":736,"527":737,"528":738,"529":739,"530":742,"531":743,"532":744,"533":746,"534":748,"535":749,"536":750,"537":756,"538":759,"539":765,"540":766,"541":769,"542":770,"543":772,"544":773,"545":774,"546":775,"547":776,"548":777,"549":779,"550":781,"551":782,"552":783,"553":785,"554":786,"555":789,"556":790,"557":792,"558":793,"559":794,"560":795,"561":796,"562":797,"563":799,"564":801,"565":802,"566":803,"567":806,"568":808,"569":810,"570":811,"571":813,"572":814,"573":818,"574":820,"575":822,"576":823,"577":825,"578":826,"579":830,"580":831,"581":833,"582":836,"583":839,"584":844,"585":845,"586":848,"587":851,"588":852,"589":853,"590":858,"591":861,"592":863,"593":865,"594":866,"595":867,"596":868,"597":871,"598":872,"599":879,"600":880,"601":882,"602":885,"603":889,"604":892,"605":893,"606":895,"607":896,"608":897,"609":900,"610":902,"611":903,"612":905,"613":908,"614":909,"615":911,"616":913,"617":915,"618":918,"619":919,"620":920,"621":927,"622":928,"623":929,"624":931,"625":932,"626":933,"627":938,"628":939,"629":941,"630":942,"631":943,"632":944,"633":945,"634":950,"635":952,"636":954,"637":956,"638":957,"639":961,"640":963,"641":964,"642":966,"643":969,"644":970,"645":971,"646":975,"647":978,"648":982,"649":983,"650":984,"651":985,"653":987,"654":989,"655":991,"656":993,"657":995,"658":996,"659":1002,"660":1003,"661":1004,"662":1005,"663":1007,"664":1009,"665":1012,"666":1014,"667":1017,"668":1018,"669":1019,"670":1020,"671":1021,"672":1022,"673":1023},{"0":1,"1":3,"2":20,"3":29,"4":34,"5":56,"6":57,"7":59,"8":79,"9":84,"10":85,"11":88,"12":102,"13":111,"14":113,"15":114,"16":117,"17":135,"18":144,"19":158,"20":163,"21":173,"22":177,"23":180,"24":182,"25":200,"26":203,"27":206,"28":208,"29":215,"30":224,"31":233,"32":236,"33":237,"34":244,"35":245,"36":250,"37":251,"38":253,"39":281,"40":288,"41":289,"42":296,"43":305,"44":312,"45":313,"46":330,"47":331,"48":345,"49":349,"50":354,"51":355,"52":360,"53":364,"54":373,"55":379,"56":386,"57":393,"58":397,"59":412,"60":436,"61":439,"62":447,"63":451,"64":471,"65":478,"66":480,"67":483,"68":489,"69":490,"70":493,"71":500,"72":511,"73":512,"74":514,"75":515,"76":516,"77":517,"79":522,"80":525,"81":526,"82":527,"83":529,"84":534,"85":538,"86":541,"87":549,"88":553,"89":555,"90":561,"91":566,"92":568,"93":569,"94":572,"95":574,"96":579,"98":582,"99":584,"100":585,"101":586,"102":587,"103":588,"105":598,"106":602,"107":603,"108":606,"109":612,"110":613,"111":615,"112":617,"113":627,"114":628,"115":634,"116":636,"118":643,"119":648,"120":650,"121":653,"122":662,"123":663,"124":666,"125":668,"126":673,"127":675,"128":678,"129":680,"130":688,"131":689,"132":696,"133":698,"134":699,"135":705,"136":706,"137":710,"138":715,"139":717,"140":720,"141":724,"142":725,"143":726,"144":728,"145":734,"146":735,"148":751,"149":753,"150":754,"151":757,"152":758,"153":760,"154":761,"155":763,"156":764,"157":767,"158":768,"159":771,"160":778,"161":780,"162":784,"163":788,"164":800,"165":804,"166":805,"168":809,"169":812,"171":816,"172":817,"173":819,"174":821,"175":829,"176":832,"177":837,"178":840,"179":841,"180":842,"182":846,"183":854,"184":859,"185":860,"186":864,"187":869,"188":875,"189":876,"190":877,"191":878,"192":881,"193":883,"194":888,"195":891,"196":899,"197":901,"198":904,"199":906,"200":912,"201":914,"202":922,"203":924,"204":926,"205":930,"206":934,"207":935,"208":936,"209":937,"210":946,"211":948,"212":949,"213":958,"214":962,"215":965,"216":967,"217":976,"218":981,"219":990,"220":992,"221":994,"222":1001,"223":1006,"224":1008,"225":1010,"226":1013,"227":1016},{"0":86,"1":287,"2":320,"3":444,"4":446,"5":497,"6":528,"7":551,"8":567,"9":589,"10":592,"12":609,"13":611,"14":619,"15":620,"16":626,"17":629,"18":635,"19":647,"20":665,"22":672,"23":682,"24":684,"25":686,"26":702,"27":709,"28":711,"29":718,"30":740,"31":752,"33":762,"34":824,"35":827,"36":849,"37":850,"38":873,"39":874,"41":953,"43":997,"44":998,"45":1000,"46":1011,"47":1015},{"0":531,"1":535,"2":543,"5":607,"7":694,"8":714,"9":730,"10":745,"11":747,"12":838,"13":862,"15":898,"16":925,"19":959,"20":973},{"0":536,"3":679,"5":704,"6":791,"7":847,"9":890,"11":968,"13":999},{"4":894},[],[],[],[],[],[],[]]