[{"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":7,"8":8,"9":9,"10":10,"11":11,"12":13,"13":14,"14":15,"15":16,"16":17,"17":18,"18":19,"19":20,"20":21,"21":22,"22":23,"23":24,"24":25,"26":27,"27":28,"28":32,"29":33,"30":34,"31":35,"32":36,"33":37,"34":39,"35":40,"36":41,"37":42,"38":43,"39":44,"40":45,"41":46,"42":48,"43":49,"44":50,"45":51,"46":52,"47":56,"48":57,"49":58,"50":59,"51":60,"52":61,"53":63,"54":64,"55":65,"56":66,"57":67,"58":68,"59":69,"60":70,"61":72,"62":73,"63":74,"64":75,"66":77,"67":78,"68":79,"69":80,"70":81,"72":83,"73":84,"74":85,"75":86,"76":87,"77":88,"78":89,"79":90,"81":92,"82":93,"83":94,"84":95,"85":96,"86":97,"87":98,"88":99,"89":100,"90":101,"91":102,"92":103,"93":104,"94":105,"95":106,"96":107,"97":109,"98":110,"99":111,"100":112,"101":113,"102":114,"103":115,"104":116,"105":117,"106":118,"107":119,"108":120,"109":122,"111":125,"112":126,"113":127,"114":128,"115":129,"116":130,"117":131,"118":132,"119":133,"120":134,"121":135,"122":136,"123":137,"124":138,"125":139,"126":141,"128":144,"129":145,"130":146,"131":147,"132":148,"133":149,"134":151,"135":152,"136":153,"137":154,"138":155,"139":156,"140":157,"141":158,"142":160,"143":161,"144":162,"145":163,"146":164,"147":165,"148":166,"149":167,"150":169,"151":170,"152":171,"153":172,"154":173,"155":175,"156":177,"157":178,"158":179,"159":181,"160":182,"161":184,"162":185,"163":186,"164":187,"166":189,"167":190,"168":192,"169":193,"170":194,"171":195,"172":196,"173":197,"174":198,"175":201,"176":203,"177":204,"178":205,"179":206,"180":207,"181":208,"182":209,"183":211,"184":212,"185":213,"186":214,"187":215,"188":217,"189":218,"190":219,"191":220,"192":221,"193":222,"194":223,"195":224,"196":226,"197":227,"198":228,"199":230,"200":232,"201":234,"202":235,"203":237,"204":238,"205":239,"206":241,"207":242,"208":244,"209":245,"210":246,"211":248,"212":249,"213":250,"214":251,"215":252,"216":254,"217":255,"218":256,"219":257,"220":259,"221":260,"222":261,"223":263,"224":265,"225":267,"226":268,"227":269,"228":270,"229":271,"230":272,"232":276,"233":277,"234":278,"235":279,"236":280,"237":281,"238":282,"239":283,"240":285,"241":286,"243":290,"244":291,"245":292,"246":293,"247":294,"248":295,"249":296,"250":297,"251":298,"252":300,"253":301,"254":302,"255":303,"256":304,"257":305,"258":306,"259":307,"260":309,"261":311,"262":312,"263":313,"264":314,"265":315,"266":316,"267":317,"268":318,"269":319,"270":320,"271":321,"272":322,"273":323,"274":324,"276":326,"277":327,"278":328,"279":329,"280":330,"281":331,"282":332,"283":333,"285":335,"286":336,"287":337,"288":339,"289":340,"290":341,"291":342,"292":344,"293":346,"294":347,"295":348,"296":349,"297":351,"298":352,"299":353,"300":354,"301":356,"302":357,"303":358,"304":360,"305":361,"306":362,"307":364,"308":365,"309":366,"310":367,"311":368,"312":369,"313":370,"314":371,"315":372,"316":373,"317":374,"318":375,"319":376,"320":377,"321":378,"322":379,"323":380,"324":382,"325":383,"326":384,"327":385,"328":386,"329":387,"330":388,"331":389,"332":390,"333":391,"334":392,"335":393,"336":394,"337":395,"338":396,"339":397,"340":398,"341":399,"342":400,"343":402,"344":403,"345":404,"346":405,"347":406,"348":407,"349":408,"350":409,"351":411,"352":412,"353":413,"354":415,"355":417,"356":419,"357":420,"358":422,"359":423,"360":424,"361":425,"362":426,"363":428,"364":430,"365":431,"366":432,"367":433,"368":435,"369":437,"370":438,"371":439,"372":440,"373":441,"374":442,"375":443,"376":444,"377":445,"378":446,"380":448,"381":449,"382":451,"383":453,"384":454,"385":455,"386":456,"387":457,"388":458,"389":461,"390":462,"391":466,"392":467,"393":468,"394":469,"395":470,"396":471,"397":472,"398":473,"399":474,"400":476,"401":477,"402":478,"403":479,"404":480,"405":481,"406":482,"407":483,"408":484,"409":485,"410":486,"411":487,"412":488,"413":489,"414":490,"415":491,"416":495,"417":497,"418":498,"419":499,"420":501,"421":502,"422":503,"423":504,"424":505,"425":506,"426":507,"427":510,"428":511,"429":514,"430":520,"431":524,"432":525,"433":528,"434":531,"435":533,"436":536,"437":537,"438":538,"439":539,"440":542,"441":543,"442":544,"443":547,"444":549,"445":550,"446":552,"447":557,"448":558,"449":560,"450":562,"451":563,"452":565,"453":567,"454":568,"455":570,"456":572,"457":573,"458":574,"459":575,"460":576,"461":579,"462":580,"463":584,"464":585,"465":587,"466":590,"467":591,"468":592,"469":595,"470":596,"471":597,"472":598,"473":599,"474":600,"475":604,"476":606,"477":609,"478":611,"479":612,"480":614,"481":616,"482":617,"483":618,"484":620,"485":623,"486":624,"487":625,"488":629,"489":631,"490":633,"491":634,"492":638,"493":639,"494":640,"495":646,"496":647,"497":649,"498":651,"499":652,"500":655,"501":656,"502":657,"503":658,"504":659,"505":660,"506":661,"507":662,"508":663,"509":667,"510":669,"511":674,"512":677,"513":678,"514":680,"515":681,"516":683,"517":684,"518":685,"519":687,"520":688,"521":689,"522":691,"523":692,"524":693,"525":694,"526":695,"527":696,"528":697,"529":698,"530":700,"531":704,"532":705,"533":706,"534":708,"535":711,"536":713,"537":720,"538":721,"539":723,"540":725,"541":726,"542":728,"543":729,"544":730,"545":731,"546":733,"547":739,"548":740,"549":742,"550":744,"551":746,"552":748,"553":750,"554":753,"555":755,"556":757,"557":758,"558":765,"559":767,"560":770,"561":771,"562":773,"563":775,"564":776,"565":777,"566":778,"567":782,"568":785,"569":790,"570":794,"571":795,"572":796,"573":797,"574":798,"575":799,"576":802,"577":803,"578":804,"579":807,"580":809,"581":811,"582":814,"583":816,"584":820,"585":822,"586":825,"587":828,"588":829,"589":830,"590":835,"591":838,"592":840,"593":841,"594":842,"595":845,"596":846,"597":848,"598":851,"599":852,"600":853,"601":854,"602":855,"603":857,"604":858,"605":859,"606":861,"607":863,"608":865,"609":866,"610":867,"611":870,"612":871,"613":872,"614":873,"615":875,"616":877,"617":879,"618":880,"619":881,"620":882,"621":883,"622":885,"623":890,"624":891,"625":892,"626":897,"627":900,"628":903,"629":906,"630":907,"631":908,"632":909,"633":910,"634":911,"635":912,"636":914,"637":916,"638":919,"639":923,"640":926,"641":929,"642":930,"643":931,"644":932,"645":934,"646":935,"647":938,"648":939,"649":940,"650":942,"651":943,"652":944,"653":945,"654":946,"655":947,"656":949,"657":951,"658":952,"659":954,"660":955,"661":960,"662":961,"663":962,"664":966,"665":977,"666":980,"667":981,"668":983,"669":984,"670":986,"671":987,"672":989,"673":990,"674":993,"675":994,"676":995,"677":996,"678":998,"679":999,"680":1001,"681":1005,"682":1007,"683":1008,"684":1014,"685":1016,"686":1020,"687":1022},{"0":29,"1":30,"2":31,"3":38,"4":47,"5":53,"6":54,"7":55,"8":62,"9":71,"10":108,"11":121,"12":124,"13":140,"14":142,"15":168,"16":174,"17":180,"18":183,"19":191,"20":202,"21":210,"22":225,"23":229,"24":231,"25":233,"26":236,"27":240,"28":243,"29":247,"30":253,"31":258,"32":262,"33":264,"34":266,"35":273,"36":275,"37":284,"38":288,"39":299,"40":308,"41":310,"42":338,"43":343,"44":345,"45":350,"46":355,"47":359,"48":363,"49":381,"50":401,"51":410,"52":414,"53":416,"54":418,"55":421,"56":427,"57":429,"58":434,"59":436,"60":452,"61":459,"62":460,"63":464,"64":465,"65":475,"66":492,"67":493,"68":494,"69":496,"70":500,"71":509,"72":512,"73":513,"74":515,"75":517,"76":518,"77":522,"78":523,"79":527,"80":529,"81":530,"82":534,"83":546,"84":548,"85":554,"86":561,"88":569,"89":571,"90":577,"91":581,"92":586,"93":589,"94":593,"95":601,"96":602,"97":605,"98":608,"99":610,"100":613,"101":615,"102":619,"103":621,"104":622,"105":626,"106":632,"107":641,"108":642,"109":643,"110":644,"111":645,"112":648,"113":650,"114":654,"115":664,"116":665,"117":666,"118":670,"119":672,"120":673,"121":676,"122":679,"123":682,"124":690,"125":699,"126":701,"127":702,"128":703,"129":707,"130":709,"131":710,"132":712,"133":714,"134":717,"135":718,"136":727,"137":732,"138":734,"139":736,"140":738,"141":741,"142":743,"143":745,"144":747,"145":751,"146":754,"147":756,"148":762,"149":763,"150":768,"151":780,"152":783,"153":787,"154":788,"155":789,"156":791,"157":792,"158":801,"159":805,"160":806,"161":808,"162":810,"163":812,"164":813,"165":817,"166":818,"167":819,"168":821,"169":827,"170":831,"171":832,"172":834,"173":839,"174":843,"175":844,"176":847,"177":849,"178":856,"179":860,"180":862,"182":876,"183":878,"184":886,"185":887,"186":893,"187":894,"188":895,"189":898,"190":901,"191":902,"192":904,"193":905,"194":915,"195":917,"196":918,"197":920,"198":921,"199":922,"200":924,"201":927,"202":936,"203":937,"204":941,"205":950,"206":957,"207":958,"208":959,"209":964,"210":965,"211":970,"212":971,"213":972,"214":973,"215":974,"216":976,"217":978,"218":979,"219":982,"220":985,"221":988,"222":991,"223":997,"224":1002,"225":1003,"226":1004,"227":1010,"228":1013,"229":1015,"230":1019,"231":1023},{"0":12,"1":150,"2":159,"3":176,"4":199,"5":200,"6":216,"7":287,"8":450,"9":508,"10":521,"11":532,"12":540,"13":545,"14":551,"15":555,"16":556,"17":566,"18":578,"19":588,"20":594,"21":607,"22":627,"23":628,"24":630,"25":635,"26":636,"27":637,"28":653,"29":671,"30":675,"31":686,"33":716,"34":719,"35":724,"36":735,"37":737,"38":752,"39":760,"40":764,"41":766,"42":769,"43":784,"44":786,"45":793,"46":800,"47":815,"48":826,"49":833,"50":836,"51":837,"53":868,"54":888,"55":896,"56":899,"57":913,"58":925,"59":933,"60":956,"61":963,"62":967,"63":969,"64":975,"65":992,"66":1000,"67":1009,"68":1017},{"0":463,"1":519,"2":526,"3":535,"4":541,"5":559,"9":749,"10":759,"11":761,"12":772,"13":774,"14":779,"16":823,"17":824,"18":874,"19":948,"20":953,"21":968,"22":1011,"23":1018},[553],[],[],[]]