[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":7,"8":8,"9":9,"10":10,"12":12,"14":14,"15":16,"16":18,"17":19,"18":20,"19":21,"20":22,"21":23,"22":24,"23":25,"24":26,"25":27,"26":28,"27":29,"28":30,"29":31,"32":34,"33":35,"34":36,"35":37,"36":38,"38":40,"39":41,"40":42,"41":43,"42":44,"43":45,"44":47,"45":48,"46":49,"47":50,"48":51,"49":52,"50":53,"51":54,"52":55,"53":56,"54":57,"55":58,"56":59,"57":60,"58":61,"59":63,"60":64,"61":65,"62":66,"63":67,"64":68,"65":69,"66":70,"67":71,"68":72,"69":74,"70":75,"71":76,"72":77,"73":78,"74":79,"75":80,"76":81,"77":82,"78":83,"79":84,"80":85,"81":86,"82":87,"83":88,"84":89,"85":91,"86":92,"87":93,"88":95,"89":97,"90":98,"91":99,"92":100,"93":101,"94":104,"95":105,"96":106,"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":121,"111":123,"112":125,"113":126,"114":128,"115":129,"116":130,"117":131,"118":133,"119":134,"120":135,"121":136,"123":138,"124":140,"125":141,"126":142,"127":143,"128":144,"129":145,"130":146,"131":147,"132":148,"134":150,"135":151,"136":152,"137":153,"138":154,"139":155,"140":156,"141":157,"143":160,"144":163,"145":164,"146":165,"147":166,"148":167,"149":168,"150":169,"151":170,"152":171,"153":172,"154":173,"155":174,"156":175,"157":176,"158":177,"159":179,"160":180,"161":181,"162":184,"163":185,"164":187,"165":189,"166":190,"167":191,"168":192,"169":193,"170":195,"171":196,"172":197,"173":198,"175":201,"176":202,"177":203,"178":204,"179":206,"180":207,"181":209,"182":210,"183":211,"184":212,"185":213,"186":214,"187":215,"188":216,"189":217,"190":218,"191":220,"192":221,"193":222,"194":224,"195":225,"196":228,"197":229,"198":230,"199":231,"200":232,"201":233,"202":234,"203":235,"204":237,"205":238,"206":239,"207":240,"208":241,"209":242,"210":243,"211":244,"212":245,"213":246,"214":247,"215":248,"216":249,"217":250,"218":251,"219":252,"220":253,"221":254,"222":255,"223":256,"224":257,"225":258,"226":259,"227":260,"228":261,"229":262,"230":263,"231":264,"232":265,"233":266,"234":267,"235":268,"236":269,"237":270,"238":271,"239":272,"240":273,"241":274,"242":275,"243":276,"244":277,"247":281,"248":282,"249":283,"250":284,"251":285,"252":286,"254":289,"255":290,"256":291,"257":292,"258":293,"259":294,"260":295,"261":296,"262":297,"263":298,"264":299,"265":300,"266":301,"267":302,"268":303,"269":305,"270":306,"271":307,"272":309,"273":310,"274":311,"275":312,"276":313,"278":315,"279":316,"280":317,"281":318,"282":319,"283":320,"284":321,"285":322,"286":323,"287":324,"288":325,"289":326,"290":327,"291":328,"292":329,"293":330,"295":332,"297":334,"298":335,"299":337,"301":339,"302":340,"303":341,"304":342,"305":343,"306":344,"307":345,"308":346,"310":348,"311":349,"312":350,"313":351,"314":352,"315":353,"316":354,"317":355,"318":356,"319":357,"320":358,"321":359,"322":360,"323":361,"324":362,"325":363,"326":364,"327":365,"328":366,"329":367,"330":368,"331":369,"332":370,"333":371,"334":372,"335":373,"336":374,"337":375,"338":376,"339":377,"340":379,"342":381,"344":383,"345":384,"346":385,"347":386,"348":387,"349":388,"350":389,"351":390,"352":391,"354":393,"355":394,"356":395,"357":396,"358":397,"359":398,"360":399,"361":400,"362":402,"363":403,"364":404,"365":405,"366":406,"367":407,"368":408,"369":409,"370":410,"371":413,"372":414,"373":415,"374":416,"375":417,"376":418,"377":420,"378":421,"380":424,"381":425,"382":426,"383":427,"384":428,"385":431,"386":432,"387":433,"388":434,"389":435,"390":436,"392":438,"393":439,"394":442,"395":443,"396":444,"397":445,"398":446,"399":447,"400":448,"401":449,"402":450,"403":451,"404":452,"405":453,"406":454,"408":457,"409":458,"410":459,"411":460,"412":461,"413":462,"414":463,"415":464,"417":466,"418":467,"419":468,"420":469,"421":470,"422":471,"423":472,"424":473,"425":474,"426":475,"427":477,"428":478,"429":479,"430":480,"431":481,"432":482,"433":483,"434":485,"435":486,"436":488,"437":489,"438":490,"439":492,"440":493,"441":494,"442":495,"443":496,"444":497,"445":498,"446":499,"447":500,"448":501,"449":502,"450":503,"451":504,"452":505,"453":506,"454":507,"455":508,"456":510,"457":511,"458":512,"459":514,"460":515,"461":520,"462":532,"463":533,"464":534,"465":537,"466":540,"467":542,"468":544,"469":545,"470":546,"471":549,"472":551,"473":553,"474":554,"475":557,"476":559,"477":561,"478":564,"479":573,"480":574,"481":576,"482":580,"483":581,"484":584,"485":588,"486":595,"487":598,"488":600,"489":604,"490":610,"491":615,"492":621,"493":622,"494":626,"495":629,"496":632,"497":637,"498":639,"499":645,"500":648,"501":649,"502":650,"503":653,"504":656,"505":657,"506":663,"507":664,"508":671,"509":672,"510":676,"511":680,"512":683,"513":684,"514":685,"515":687,"516":691,"517":692,"518":694,"519":696,"520":700,"521":701,"522":709,"523":714,"524":715,"525":718,"526":725,"527":726,"528":728,"529":729,"530":732,"531":733,"532":734,"533":735,"534":739,"535":753,"536":756,"537":757,"538":760,"539":762,"540":763,"541":764,"542":765,"543":766,"544":769,"545":774,"546":775,"547":779,"548":782,"549":785,"550":786,"551":794,"552":796,"553":797,"554":800,"555":803,"556":804,"557":810,"558":815,"559":819,"560":820,"561":821,"562":823,"563":824,"564":830,"565":833,"566":835,"567":842,"568":850,"569":856,"570":871,"571":873,"572":874,"573":876,"574":881,"575":883,"576":886,"577":887,"578":905,"579":907,"580":908,"581":915,"582":918,"583":935,"584":936,"585":938,"586":939,"587":941,"588":942,"589":943,"590":948,"591":950,"592":952,"593":953,"594":961,"595":971,"596":977,"597":980,"598":984,"599":987,"600":991,"601":995,"602":1003,"603":1006,"604":1009,"605":1011,"606":1012,"607":1014,"608":1018,"609":1019,"610":1022},{"0":15,"1":46,"2":62,"3":73,"4":90,"5":94,"6":96,"7":102,"8":103,"9":107,"10":108,"11":124,"12":127,"13":132,"14":139,"15":158,"16":161,"17":162,"18":178,"19":182,"20":183,"21":186,"22":188,"23":194,"24":200,"25":205,"26":208,"27":219,"28":226,"29":227,"30":236,"31":278,"32":287,"33":304,"34":308,"35":336,"36":378,"37":401,"38":411,"39":412,"40":419,"41":422,"42":429,"43":440,"44":441,"45":456,"46":476,"47":484,"48":487,"49":491,"50":509,"51":513,"52":517,"53":519,"54":521,"55":522,"56":523,"57":525,"58":528,"59":535,"60":538,"61":541,"62":548,"63":550,"64":552,"65":556,"66":563,"67":566,"68":567,"69":568,"70":571,"71":590,"72":594,"73":601,"74":602,"75":603,"76":606,"77":608,"78":609,"79":614,"80":616,"81":618,"82":619,"83":620,"84":623,"85":625,"86":627,"87":630,"88":636,"89":638,"90":640,"91":641,"92":642,"93":652,"94":654,"95":658,"96":661,"97":667,"98":668,"99":669,"100":673,"101":677,"102":682,"103":689,"104":697,"105":698,"106":703,"107":704,"108":705,"109":707,"110":710,"111":717,"112":719,"113":720,"114":727,"115":731,"116":737,"117":740,"118":742,"119":745,"120":748,"121":750,"122":754,"123":767,"124":768,"125":771,"126":777,"127":778,"128":780,"129":781,"130":787,"131":790,"132":793,"133":799,"134":805,"135":808,"136":811,"137":818,"138":822,"139":827,"140":828,"141":829,"142":834,"143":837,"144":838,"145":843,"146":845,"147":846,"148":851,"149":852,"150":854,"151":855,"152":858,"153":859,"154":860,"155":862,"156":863,"157":864,"158":865,"159":879,"160":884,"162":889,"163":890,"164":891,"165":894,"166":897,"167":899,"168":900,"169":902,"170":906,"171":909,"172":912,"173":914,"174":916,"175":917,"176":921,"177":924,"178":928,"179":931,"180":932,"181":934,"182":937,"183":946,"184":947,"185":951,"186":955,"187":957,"188":958,"189":962,"190":963,"191":965,"192":966,"193":967,"194":968,"195":976,"196":979,"197":985,"198":990,"199":992,"200":996,"201":999,"202":1002,"203":1010,"204":1013,"205":1015},{"0":17,"1":223,"2":430,"3":516,"4":526,"5":529,"6":531,"7":543,"8":555,"9":560,"10":562,"11":565,"12":569,"13":570,"14":575,"16":578,"17":599,"18":617,"19":628,"20":644,"21":655,"22":660,"23":666,"24":675,"25":679,"26":681,"27":702,"28":706,"29":713,"30":722,"31":723,"32":744,"33":746,"34":761,"35":770,"36":791,"37":798,"38":806,"39":812,"40":813,"41":816,"42":817,"43":826,"44":831,"45":832,"46":868,"47":870,"48":878,"49":880,"50":896,"51":898,"52":901,"53":903,"54":922,"55":925,"56":929,"57":933,"58":949,"59":960,"60":974,"61":983,"62":998,"63":1005,"64":1016,"65":1017,"66":1020},{"0":527,"1":530,"2":547,"3":572,"4":583,"5":624,"6":631,"7":633,"8":634,"9":635,"10":646,"11":647,"12":651,"13":665,"14":674,"15":686,"16":690,"17":693,"18":695,"19":708,"20":724,"21":741,"22":751,"23":759,"24":772,"25":776,"26":784,"27":802,"28":848,"29":869,"30":872,"31":875,"32":888,"33":895,"34":911,"35":923,"36":927,"37":940,"39":970,"40":972,"41":975,"42":988,"43":989,"44":993,"45":1001,"46":1004,"47":1008,"48":1021},[539,585,586,587,589,591,597,607,612,613,659,662,678,711,716,738,743,747,749,752,788,809,836,844,847,857,882,892,893,910,919,926,944,956,969,973,978,986,997],{"1":593,"2":596,"3":643,"4":670,"5":721,"6":730,"7":758,"8":789,"9":792,"10":795,"11":801,"12":814,"13":825,"15":840,"16":841,"17":867,"18":877,"20":920,"22":945,"23":964,"24":994},{"1":536,"2":605,"3":611,"4":688,"6":712,"7":773,"8":783,"9":849,"10":853,"11":861,"12":866},{"0":524,"2":807,"3":981,"4":1000},[558,592,736,755],[],[]]