[{"0":0,"1":1,"2":3,"4":5,"5":6,"7":9,"8":10,"10":12,"11":13,"12":14,"13":15,"15":18,"16":19,"17":20,"18":22,"19":23,"20":24,"21":25,"22":26,"23":27,"24":29,"25":30,"26":31,"27":32,"28":33,"29":35,"30":37,"31":38,"32":39,"33":40,"34":41,"35":42,"36":43,"37":44,"38":45,"39":46,"40":47,"41":48,"43":50,"44":51,"45":52,"46":53,"47":54,"48":55,"49":57,"50":58,"51":60,"52":61,"53":62,"54":63,"55":64,"56":65,"57":66,"58":67,"59":68,"60":69,"61":70,"63":72,"64":73,"65":74,"66":76,"67":77,"68":78,"69":80,"70":81,"71":83,"72":84,"73":85,"74":86,"75":88,"76":89,"77":90,"78":93,"79":94,"80":95,"81":96,"82":97,"83":98,"84":99,"85":100,"86":102,"88":104,"89":106,"90":107,"91":108,"92":109,"93":110,"94":111,"95":112,"96":113,"98":115,"100":117,"101":118,"102":119,"103":120,"104":121,"105":122,"106":123,"107":124,"109":127,"110":129,"111":130,"112":131,"113":133,"114":134,"115":135,"116":137,"117":138,"118":140,"119":141,"121":148,"123":150,"124":151,"125":152,"126":153,"127":154,"128":158,"129":159,"130":160,"131":163,"132":164,"133":165,"134":166,"135":167,"136":168,"137":169,"138":170,"139":171,"140":172,"141":173,"142":174,"143":175,"144":176,"145":177,"146":179,"147":180,"148":181,"149":182,"150":183,"151":184,"152":185,"153":186,"154":187,"157":190,"158":191,"160":193,"161":194,"163":196,"164":197,"165":198,"166":199,"167":200,"168":201,"169":202,"170":203,"171":204,"172":205,"173":206,"174":207,"175":209,"176":210,"177":211,"178":212,"179":213,"180":214,"181":215,"182":216,"183":217,"184":218,"185":219,"186":220,"187":221,"188":222,"189":226,"190":227,"191":228,"192":229,"193":230,"194":231,"195":232,"196":233,"197":234,"198":236,"199":237,"200":238,"201":239,"202":240,"203":241,"204":242,"205":245,"206":246,"207":247,"208":248,"209":249,"210":251,"211":252,"212":253,"213":254,"214":255,"215":256,"218":259,"219":260,"220":262,"221":263,"222":264,"223":266,"224":267,"225":269,"227":272,"228":273,"229":275,"230":276,"231":277,"232":278,"233":279,"234":280,"235":281,"236":282,"238":284,"239":285,"240":286,"241":287,"242":288,"243":290,"244":291,"245":292,"246":293,"247":294,"248":295,"249":296,"250":297,"251":298,"252":299,"253":300,"254":301,"255":302,"256":303,"257":304,"258":305,"259":306,"260":307,"261":308,"262":309,"264":311,"265":312,"266":313,"268":315,"269":316,"273":321,"274":322,"275":323,"276":324,"277":325,"278":327,"279":328,"280":330,"281":332,"282":333,"283":334,"284":335,"285":336,"286":337,"287":338,"288":339,"289":340,"291":342,"292":343,"293":344,"294":345,"295":346,"296":347,"297":348,"298":349,"299":350,"300":351,"301":352,"302":353,"303":354,"304":356,"305":357,"306":358,"307":359,"308":360,"309":364,"310":365,"311":366,"312":367,"313":368,"315":370,"316":371,"317":372,"318":373,"319":375,"320":376,"321":377,"322":379,"323":380,"324":381,"325":382,"326":383,"328":385,"329":386,"330":387,"331":388,"332":389,"333":390,"334":391,"335":392,"336":393,"337":394,"338":395,"339":397,"340":398,"341":399,"342":400,"343":401,"344":404,"345":405,"346":406,"347":407,"348":408,"349":411,"350":412,"351":413,"352":414,"353":415,"354":416,"355":418,"356":419,"357":420,"359":422,"360":423,"362":426,"363":428,"364":429,"366":431,"367":432,"368":433,"369":434,"370":435,"371":437,"372":438,"373":439,"374":440,"375":441,"376":442,"377":443,"378":444,"379":445,"380":446,"381":447,"382":448,"383":449,"384":450,"385":451,"386":452,"387":453,"388":455,"389":456,"390":457,"391":458,"392":459,"393":460,"394":461,"395":462,"396":465,"397":466,"398":469,"399":470,"400":471,"401":473,"402":474,"403":475,"404":476,"405":477,"406":478,"407":479,"408":480,"409":481,"410":482,"411":483,"412":484,"413":485,"414":486,"415":488,"416":489,"417":490,"418":491,"419":492,"420":493,"421":495,"422":496,"423":497,"424":499,"425":500,"426":501,"427":502,"428":504,"429":505,"430":506,"431":507,"432":508,"433":509,"434":510,"435":511,"436":512,"437":513,"438":516,"439":517,"440":518,"441":519,"442":520,"443":521,"444":523,"445":524,"446":525,"447":526,"448":528,"449":529,"450":530,"451":533,"452":536,"453":537,"454":539,"455":540,"456":541,"457":542,"458":543,"459":545,"460":546,"461":547,"462":550,"463":551,"464":552,"465":555,"466":558,"467":562,"468":563,"469":565,"470":569,"471":573,"472":574,"473":576,"474":577,"475":578,"476":579,"477":581,"478":583,"479":584,"480":585,"481":586,"482":587,"483":588,"484":589,"485":590,"486":593,"487":594,"488":596,"489":597,"490":598,"491":599,"492":601,"493":603,"494":604,"495":606,"496":608,"497":611,"498":615,"499":617,"500":618,"501":619,"502":620,"503":621,"504":623,"505":624,"506":626,"507":628,"508":629,"509":630,"510":631,"511":632,"512":633,"513":634,"514":635,"515":637,"516":640,"517":641,"518":643,"519":645,"520":646,"521":647,"522":651,"523":652,"524":653,"525":654,"526":655,"527":657,"528":659,"529":660,"530":661,"531":662,"532":663,"533":665,"534":666,"535":668,"536":670,"537":671,"538":677,"539":678,"540":680,"541":682,"542":684,"543":685,"544":686,"545":688,"546":689,"547":690,"548":691,"549":693,"550":696,"551":700,"552":701,"553":702,"554":703,"555":705,"556":708,"557":710,"558":711,"559":712,"560":713,"561":718,"562":721,"563":723,"564":724,"565":725,"566":727,"567":729,"568":734,"569":735,"570":736,"571":737,"572":738,"573":739,"574":744,"575":746,"576":747,"577":750,"578":751,"579":753,"580":755,"581":756,"582":757,"583":758,"584":759,"585":760,"586":762,"587":763,"588":764,"589":765,"590":767,"591":768,"592":770,"593":771,"594":773,"595":774,"596":778,"597":779,"598":781,"599":783,"600":785,"601":786,"602":787,"603":788,"604":792,"605":794,"606":796,"607":799,"608":802,"609":803,"610":805,"611":806,"612":808,"613":809,"614":810,"615":811,"616":812,"617":813,"618":814,"619":817,"620":818,"621":819,"622":820,"623":823,"624":825,"625":827,"626":828,"627":832,"628":833,"629":834,"630":837,"631":838,"632":841,"633":842,"634":843,"635":844,"636":845,"637":850,"638":858,"639":859,"640":860,"641":861,"642":862,"643":863,"644":864,"645":865,"646":867,"647":868,"648":871,"649":874,"650":876,"651":878,"652":880,"653":881,"654":882,"655":884,"656":885,"657":886,"658":887,"659":888,"660":894,"661":895,"662":896,"663":901,"664":904,"665":905,"666":907,"667":908,"668":909,"669":910,"670":911,"671":912,"672":913,"674":917,"675":918,"676":920,"677":922,"678":924,"679":925,"680":929,"681":930,"682":931,"683":934,"684":936,"685":937,"686":939,"687":941,"688":942,"689":943,"690":945,"691":946,"692":947,"693":950,"694":952,"695":954,"696":956,"697":958,"698":960,"699":962,"700":963,"701":967,"702":968,"703":969,"704":970,"705":971,"706":973,"707":974,"708":975,"709":976,"710":977,"711":978,"712":980,"713":982,"714":984,"715":986,"716":989,"718":991,"719":992,"720":993,"721":994,"722":995,"723":998,"724":1004,"725":1007,"726":1009,"727":1010,"728":1011,"729":1013,"730":1015,"731":1016,"732":1017,"733":1019,"734":1023},{"0":2,"1":7,"2":17,"3":21,"4":28,"5":34,"6":36,"7":56,"8":59,"9":75,"10":79,"12":87,"13":91,"14":101,"15":105,"16":126,"17":128,"18":132,"19":136,"20":139,"21":142,"22":143,"23":144,"24":146,"25":147,"26":155,"27":156,"28":157,"29":161,"30":162,"31":178,"32":208,"33":223,"34":224,"35":225,"36":235,"37":243,"38":244,"39":250,"40":265,"41":268,"42":270,"43":274,"44":289,"45":320,"46":326,"47":329,"48":331,"49":355,"50":361,"51":363,"52":374,"53":378,"54":396,"55":402,"56":403,"57":409,"58":410,"59":417,"60":425,"61":427,"62":436,"63":454,"64":463,"65":464,"66":467,"67":468,"68":472,"69":487,"70":494,"71":498,"72":503,"73":514,"74":527,"75":531,"76":532,"77":535,"78":538,"79":544,"80":548,"81":557,"82":559,"83":561,"84":564,"85":566,"86":567,"87":568,"88":570,"89":571,"90":572,"91":575,"92":582,"93":591,"94":592,"95":600,"96":602,"97":607,"98":609,"99":610,"100":614,"101":616,"102":622,"103":627,"104":636,"105":638,"106":642,"107":649,"108":667,"109":672,"110":673,"111":676,"112":679,"113":681,"114":687,"115":694,"116":697,"117":698,"118":699,"119":706,"120":707,"121":716,"122":719,"123":720,"124":726,"125":728,"126":731,"127":732,"128":740,"129":741,"130":742,"131":743,"132":745,"133":752,"134":754,"135":761,"136":772,"137":775,"139":780,"140":782,"141":784,"142":789,"143":793,"144":795,"145":797,"146":800,"147":801,"148":804,"149":807,"150":815,"151":816,"152":821,"153":824,"154":826,"155":829,"156":831,"157":835,"158":839,"159":840,"160":847,"161":849,"162":852,"163":853,"164":854,"165":856,"166":857,"167":869,"168":872,"169":883,"171":890,"172":897,"173":898,"174":899,"175":900,"176":919,"177":921,"178":927,"179":928,"180":932,"181":944,"182":949,"183":951,"184":953,"185":955,"186":957,"187":964,"188":965,"189":981,"190":983,"191":985,"192":987,"193":988,"194":996,"195":997,"196":999,"197":1000,"198":1001,"199":1002,"200":1003,"201":1014,"202":1018,"203":1020,"204":1021,"205":1022},{"0":92,"1":261,"2":362,"3":522,"4":549,"5":553,"6":612,"7":613,"8":656,"9":675,"11":748,"12":769,"15":798,"16":830,"17":836,"18":851,"19":855,"20":873,"21":875,"22":892,"23":893,"24":906,"25":916,"26":923,"27":933,"28":938,"29":940,"30":948,"31":966,"32":1012},{"0":605,"1":674,"2":683,"3":709,"4":722,"5":870,"7":902,"8":961,"9":1006},{"1":644,"2":650,"3":669,"4":695,"5":704,"6":715},{"1":556},{"2":714,"3":717},{"1":648,"3":776},[],[]]