[{"0":0,"1":1,"2":2,"4":4,"5":5,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"13":14,"15":16,"16":17,"17":18,"19":21,"20":22,"21":23,"22":24,"24":26,"25":27,"26":28,"28":30,"29":31,"32":37,"34":39,"35":40,"36":42,"37":43,"39":45,"40":46,"43":49,"45":51,"48":54,"50":56,"51":58,"52":59,"53":60,"54":61,"55":62,"56":63,"57":65,"58":67,"60":69,"61":70,"62":72,"63":73,"64":74,"65":75,"66":77,"67":78,"68":79,"69":80,"70":81,"71":82,"72":83,"73":84,"74":85,"75":86,"76":87,"77":88,"78":89,"79":90,"80":92,"82":94,"84":96,"85":98,"86":99,"87":100,"88":101,"90":103,"94":107,"95":108,"96":109,"97":110,"98":111,"99":112,"100":113,"101":116,"102":117,"103":118,"104":121,"105":122,"106":123,"107":124,"108":125,"109":126,"110":127,"114":131,"115":132,"116":133,"118":136,"119":137,"124":142,"125":144,"126":145,"127":146,"129":149,"130":151,"131":152,"132":153,"133":154,"134":155,"135":156,"136":157,"137":159,"138":160,"139":161,"140":162,"141":163,"142":165,"143":166,"144":167,"146":171,"147":172,"148":173,"149":174,"150":176,"151":177,"152":178,"153":180,"154":181,"155":182,"156":183,"157":184,"159":186,"160":188,"161":189,"162":190,"163":191,"164":192,"165":194,"166":195,"167":196,"168":198,"169":199,"172":204,"173":205,"174":206,"175":207,"176":208,"177":209,"178":210,"179":211,"180":212,"181":213,"182":217,"183":219,"184":220,"185":222,"186":223,"187":227,"188":228,"189":229,"190":230,"191":231,"192":233,"193":234,"194":235,"195":236,"196":238,"197":239,"198":240,"199":241,"200":242,"201":243,"202":244,"203":247,"204":248,"205":249,"206":256,"208":259,"209":260,"210":261,"212":263,"214":265,"215":266,"216":267,"217":269,"219":271,"220":272,"221":273,"222":274,"224":276,"225":277,"226":278,"227":279,"228":280,"229":281,"230":282,"231":283,"232":284,"233":285,"234":286,"235":287,"236":289,"238":291,"240":293,"241":294,"242":295,"247":301,"248":303,"253":308,"254":309,"255":310,"256":312,"257":313,"258":315,"260":317,"261":319,"262":320,"263":321,"264":322,"265":323,"266":324,"267":325,"268":326,"269":327,"270":328,"271":329,"272":330,"273":331,"274":332,"275":334,"276":335,"277":336,"278":337,"279":338,"280":340,"281":341,"282":343,"283":344,"284":348,"287":351,"289":353,"290":355,"291":356,"292":357,"293":358,"297":362,"299":364,"300":365,"301":367,"302":368,"303":371,"304":372,"306":374,"307":376,"308":379,"310":381,"312":383,"313":384,"314":385,"318":389,"319":390,"322":393,"327":398,"329":401,"330":402,"331":403,"332":405,"333":408,"334":410,"335":411,"336":413,"337":414,"338":415,"339":416,"340":417,"341":418,"342":419,"343":420,"345":423,"346":426,"347":427,"348":428,"349":429,"350":430,"351":431,"352":434,"353":435,"354":436,"355":438,"356":440,"357":441,"358":442,"359":444,"360":445,"361":446,"362":447,"363":448,"364":449,"365":451,"366":453,"367":454,"368":455,"369":456,"370":459,"372":461,"373":463,"374":464,"375":465,"376":466,"377":467,"378":469,"379":470,"380":471,"381":472,"382":473,"383":477,"384":481,"385":482,"386":483,"387":484,"388":485,"389":486,"390":487,"391":488,"392":489,"393":490,"394":491,"395":492,"396":493,"397":496,"398":497,"399":499,"400":500,"401":501,"402":502,"403":504,"404":519,"405":520,"406":524,"407":525,"408":529,"409":530,"410":531,"411":535,"412":536,"413":540,"414":545,"415":549,"416":550,"417":553,"418":554,"419":557,"420":559,"421":566,"422":570,"423":574,"424":575,"425":586,"426":590,"427":594,"428":601,"429":603,"430":606,"431":608,"432":610,"433":613,"434":614,"435":619,"436":620,"437":626,"438":628,"440":641,"441":643,"442":645,"443":647,"444":650,"445":656,"446":672,"447":674,"448":675,"449":680,"450":681,"451":683,"452":684,"453":685,"454":686,"456":694,"457":699,"458":702,"459":703,"460":705,"461":706,"462":707,"463":711,"464":714,"465":717,"466":727,"467":729,"468":738,"469":740,"470":744,"471":747,"472":748,"473":751,"474":755,"475":762,"476":772,"477":776,"478":782,"479":784,"480":786,"481":789,"482":791,"483":797,"484":804,"485":815,"486":819,"487":820,"488":823,"489":824,"490":829,"491":830,"492":831,"493":832,"494":833,"495":837,"496":840,"497":843,"498":848,"499":850,"500":852,"501":864,"502":865,"503":866,"504":869,"505":872,"506":873,"507":876,"508":880,"509":882,"510":883,"512":895,"513":897,"514":900,"515":905,"516":908,"517":913,"518":918,"519":927,"520":931,"521":933,"522":934,"523":936,"524":939,"525":941,"526":951,"527":953,"528":955,"529":956,"530":960,"531":963,"532":965,"533":967,"534":968,"535":969,"536":973,"537":979,"538":987,"539":988,"540":990,"541":991,"542":992,"543":993,"544":997,"545":1005,"546":1011,"547":1017,"548":1018,"549":1019,"550":1020,"551":1021,"552":1022},{"0":6,"1":19,"2":32,"3":33,"4":36,"5":41,"6":57,"7":64,"8":66,"9":71,"10":76,"11":91,"12":97,"13":115,"14":120,"15":134,"16":150,"17":158,"18":164,"19":169,"20":170,"21":175,"22":179,"23":187,"24":193,"26":201,"27":203,"28":214,"29":215,"30":216,"31":218,"32":221,"33":224,"34":225,"35":245,"36":250,"37":252,"38":253,"39":254,"40":255,"41":268,"42":288,"43":300,"44":302,"45":311,"46":314,"47":333,"48":339,"49":342,"50":345,"51":347,"52":354,"53":366,"54":369,"55":404,"56":406,"57":407,"58":409,"59":412,"60":422,"61":425,"62":432,"63":433,"64":437,"65":439,"66":443,"67":450,"68":452,"69":457,"70":458,"71":462,"72":468,"73":474,"74":475,"75":476,"76":478,"77":479,"78":480,"79":495,"80":503,"81":505,"82":507,"83":509,"84":510,"85":512,"86":517,"87":523,"88":528,"89":533,"90":537,"91":539,"92":541,"93":542,"95":547,"96":551,"97":552,"98":561,"99":567,"100":569,"101":573,"102":576,"103":581,"104":584,"105":585,"106":587,"107":591,"108":592,"109":593,"110":600,"111":605,"112":607,"113":623,"114":625,"115":627,"116":629,"117":632,"118":639,"119":646,"120":648,"121":652,"122":653,"123":654,"124":658,"125":659,"126":662,"127":663,"128":665,"129":667,"130":669,"131":670,"132":671,"133":673,"134":676,"135":678,"136":679,"137":682,"138":690,"140":693,"142":697,"143":708,"144":710,"145":719,"146":728,"147":734,"148":736,"149":737,"150":742,"151":745,"152":746,"153":753,"154":758,"155":759,"156":765,"158":767,"159":768,"160":774,"161":778,"162":779,"163":780,"164":781,"165":787,"166":792,"167":795,"168":799,"169":801,"170":805,"173":812,"174":814,"175":817,"176":821,"178":826,"179":836,"180":838,"181":841,"182":854,"183":861,"184":862,"185":868,"186":870,"187":871,"188":877,"189":884,"190":885,"191":886,"192":898,"193":901,"194":902,"195":906,"196":907,"197":911,"198":912,"199":914,"200":915,"201":919,"202":924,"203":926,"204":935,"205":940,"206":942,"207":944,"208":946,"209":952,"211":959,"212":962,"213":966,"214":975,"215":983,"216":1001,"217":1008,"218":1009,"219":1010,"220":1013,"221":1014,"222":1015,"223":1016},{"0":114,"1":119,"2":143,"3":148,"4":232,"5":237,"6":246,"7":257,"8":318,"9":346,"10":370,"11":375,"12":377,"13":378,"14":400,"15":424,"16":498,"17":508,"18":511,"19":516,"20":518,"21":526,"22":532,"23":544,"24":556,"25":562,"26":564,"27":571,"28":580,"29":588,"30":595,"31":598,"32":602,"33":622,"34":631,"35":634,"36":636,"37":642,"38":651,"39":668,"40":688,"41":689,"42":692,"43":700,"44":709,"45":712,"46":713,"47":720,"48":724,"49":730,"50":741,"51":749,"52":752,"53":756,"54":761,"55":777,"56":794,"58":803,"59":809,"60":811,"61":813,"62":822,"64":835,"65":846,"66":855,"67":863,"68":875,"70":892,"71":893,"72":909,"73":910,"74":928,"75":929,"76":937,"78":949,"79":954,"82":972,"83":974,"84":978,"86":989,"87":996,"88":1002,"89":1004,"90":1007},{"0":226,"1":251,"2":494,"3":506,"4":513,"6":555,"8":572,"9":599,"10":609,"11":621,"12":633,"13":732,"14":769,"15":771,"16":788,"19":834,"20":839,"21":853,"22":857,"23":874,"24":888,"25":894,"26":896,"27":932,"28":970,"29":998},{"2":558,"3":563,"4":657,"5":660,"6":698,"7":735,"9":798,"10":816,"12":890,"13":920,"15":947,"16":981,"17":994},{"5":802,"6":849,"7":856,"8":858,"9":921,"11":1006,"12":1012},{"0":597,"1":644,"2":722,"4":739,"5":763,"6":764,"7":790,"8":930,"10":976,"12":986,"13":995},{"0":521,"1":560,"3":615,"4":666,"5":701,"6":793,"7":842,"8":851,"9":881,"10":961},{"0":596,"1":611,"2":721,"3":733,"4":760,"5":818,"7":845,"8":903,"9":904,"10":950,"11":971,"12":1000},{"0":630,"1":640,"2":677,"3":704,"4":715,"5":726,"7":859,"8":860,"9":879,"11":925},{"0":527,"1":617,"2":624,"3":655,"5":723,"6":754,"8":800,"9":923,"10":984},{"0":522,"1":578,"3":661,"5":878,"6":916,"7":948},{"0":548,"2":583,"3":718,"4":731},{"1":635,"2":695,"3":887},{"1":649,"2":785},{"1":638},[]]