[{"0":0,"1":1,"2":3,"3":4,"4":5,"5":6,"6":7,"7":9,"8":10,"9":11,"10":12,"11":13,"12":15,"13":16,"14":17,"15":19,"16":20,"17":21,"18":22,"19":23,"20":24,"21":26,"22":27,"23":28,"24":29,"25":30,"26":31,"27":32,"28":33,"29":34,"30":35,"31":36,"32":38,"33":39,"34":41,"35":42,"36":43,"37":44,"38":45,"39":46,"40":47,"41":48,"43":50,"44":51,"45":52,"46":54,"47":55,"49":57,"50":58,"51":59,"52":60,"53":61,"54":62,"55":63,"56":64,"57":65,"58":66,"60":68,"61":69,"62":70,"63":71,"65":73,"66":75,"67":76,"68":77,"69":78,"70":79,"71":80,"72":81,"73":82,"74":83,"75":84,"76":85,"78":87,"79":88,"80":89,"81":90,"82":91,"83":92,"84":93,"85":94,"86":95,"87":96,"88":98,"89":99,"90":101,"91":102,"92":103,"93":104,"94":105,"95":106,"96":107,"97":109,"98":111,"99":112,"100":114,"101":115,"102":116,"103":117,"104":118,"105":119,"106":120,"107":121,"108":123,"109":124,"110":125,"111":126,"112":128,"113":129,"114":130,"115":131,"116":132,"117":133,"118":134,"119":137,"120":138,"121":139,"122":141,"123":142,"124":143,"125":144,"126":145,"127":146,"128":147,"129":149,"130":150,"131":151,"132":152,"133":153,"134":155,"135":157,"136":158,"137":159,"138":160,"139":162,"140":163,"141":165,"142":166,"143":167,"144":168,"145":169,"146":170,"147":171,"148":172,"149":173,"150":174,"151":175,"152":176,"155":179,"156":180,"157":181,"158":182,"159":183,"160":184,"161":185,"162":186,"163":187,"164":189,"165":190,"166":191,"167":192,"168":193,"169":194,"170":195,"172":197,"173":198,"174":200,"176":202,"177":203,"178":204,"179":205,"180":206,"181":207,"182":209,"183":211,"184":212,"185":214,"186":215,"187":216,"188":218,"189":219,"190":220,"191":221,"192":222,"193":223,"194":224,"195":226,"196":228,"197":230,"198":231,"199":232,"200":233,"201":234,"202":235,"203":236,"204":237,"205":238,"206":241,"207":242,"208":243,"209":244,"210":245,"211":246,"212":247,"213":248,"214":250,"215":251,"216":252,"217":254,"218":255,"219":256,"220":257,"221":258,"222":259,"223":260,"224":262,"225":263,"226":264,"227":265,"229":267,"230":268,"231":269,"232":271,"233":273,"234":275,"235":276,"236":277,"237":278,"238":279,"239":280,"241":282,"242":283,"243":284,"244":285,"245":286,"246":287,"247":288,"248":289,"249":290,"250":292,"251":293,"252":296,"253":297,"254":298,"255":299,"256":300,"257":301,"258":302,"259":303,"260":304,"261":305,"262":306,"263":307,"264":308,"265":309,"266":310,"267":311,"268":312,"269":313,"270":314,"271":315,"272":316,"273":317,"274":318,"276":320,"277":321,"278":322,"279":324,"280":325,"281":326,"282":327,"283":328,"284":329,"285":330,"286":331,"287":332,"288":333,"289":335,"290":336,"291":337,"292":338,"293":339,"294":340,"295":341,"296":342,"297":343,"298":344,"299":345,"300":347,"301":348,"302":349,"303":351,"304":352,"305":353,"306":354,"307":356,"308":357,"309":358,"310":359,"311":360,"312":362,"313":363,"314":364,"315":365,"316":366,"317":367,"318":368,"319":369,"320":370,"323":373,"324":374,"325":375,"326":376,"327":377,"328":378,"329":379,"330":380,"331":381,"332":382,"333":383,"334":384,"335":385,"336":386,"337":387,"338":388,"339":389,"340":391,"341":392,"342":393,"343":394,"344":395,"345":396,"346":397,"347":398,"348":399,"349":400,"350":402,"351":403,"352":404,"353":405,"354":406,"355":407,"356":408,"357":409,"358":410,"359":411,"360":412,"361":413,"362":415,"363":416,"364":417,"365":418,"366":419,"367":420,"368":422,"369":423,"370":424,"371":425,"372":427,"373":428,"374":429,"375":430,"376":431,"377":432,"378":433,"379":434,"381":436,"382":437,"383":438,"384":439,"385":440,"386":441,"387":442,"388":443,"389":444,"390":445,"391":446,"392":447,"393":448,"394":449,"395":450,"396":451,"397":452,"398":454,"399":455,"400":456,"401":457,"402":458,"403":459,"404":460,"405":461,"406":462,"407":463,"408":464,"409":465,"410":466,"411":468,"412":469,"413":470,"414":471,"415":472,"416":473,"417":474,"418":476,"419":477,"420":478,"421":479,"422":480,"423":481,"424":482,"425":483,"426":484,"427":485,"428":486,"429":487,"430":488,"431":490,"432":492,"433":493,"434":494,"435":496,"436":497,"437":498,"438":499,"439":500,"440":501,"441":503,"442":504,"443":505,"444":506,"445":507,"446":509,"447":510,"448":511,"449":512,"450":513,"451":516,"452":517,"453":518,"454":519,"455":520,"456":522,"457":523,"458":524,"459":525,"460":528,"461":530,"462":531,"463":534,"464":538,"465":539,"466":542,"467":543,"468":544,"469":547,"470":548,"471":549,"472":553,"473":554,"474":555,"475":557,"476":559,"477":562,"478":563,"479":565,"480":566,"481":569,"482":570,"483":571,"484":572,"485":573,"486":575,"487":576,"488":577,"489":578,"490":580,"491":581,"492":588,"493":589,"494":592,"495":593,"496":594,"497":595,"498":597,"499":598,"500":599,"501":600,"502":601,"503":602,"504":604,"505":605,"506":607,"507":612,"508":613,"509":615,"510":618,"511":619,"512":621,"513":622,"514":625,"515":629,"516":630,"517":632,"518":634,"519":636,"520":637,"521":639,"522":641,"523":643,"524":644,"525":645,"526":646,"527":647,"528":649,"529":653,"530":654,"531":655,"532":656,"533":657,"534":659,"535":661,"536":663,"537":664,"538":666,"539":668,"540":673,"541":675,"542":678,"543":679,"544":680,"545":681,"546":682,"547":683,"548":684,"549":685,"550":687,"551":688,"552":689,"553":691,"554":692,"555":693,"556":694,"557":698,"558":699,"559":700,"560":703,"561":704,"562":705,"563":706,"564":708,"565":709,"566":710,"567":711,"568":712,"569":714,"570":718,"571":720,"572":724,"573":727,"574":728,"575":729,"576":731,"577":732,"578":733,"579":734,"580":735,"581":736,"582":737,"583":738,"584":739,"585":740,"586":741,"587":742,"588":743,"589":745,"590":746,"591":747,"592":748,"593":749,"594":750,"595":752,"596":753,"597":755,"598":757,"599":758,"600":759,"601":760,"602":761,"603":762,"604":763,"605":766,"606":767,"607":770,"608":771,"609":774,"610":775,"611":778,"612":780,"613":783,"614":784,"615":785,"616":786,"617":788,"618":791,"619":792,"620":795,"621":796,"622":797,"623":798,"624":799,"625":800,"626":801,"627":805,"628":806,"629":807,"630":810,"631":811,"632":812,"633":814,"634":815,"635":817,"636":818,"637":822,"638":824,"639":825,"640":828,"641":829,"642":830,"643":831,"644":832,"645":834,"646":837,"647":838,"648":840,"649":841,"650":843,"651":844,"652":846,"653":847,"654":849,"655":850,"656":851,"657":852,"658":853,"659":858,"660":861,"661":862,"662":867,"663":868,"664":870,"665":871,"666":875,"667":876,"668":877,"669":879,"670":884,"671":887,"672":888,"673":891,"674":892,"675":894,"676":895,"677":898,"678":899,"679":901,"680":902,"681":904,"682":906,"683":907,"684":909,"685":911,"686":913,"687":914,"688":916,"689":917,"690":918,"691":920,"692":922,"693":925,"694":926,"695":929,"696":930,"697":932,"698":933,"699":935,"700":936,"701":937,"702":938,"703":939,"704":941,"705":944,"706":945,"707":946,"708":948,"709":952,"710":953,"711":954,"712":955,"713":956,"714":958,"715":961,"716":962,"717":963,"718":966,"719":968,"720":969,"721":970,"722":971,"723":977,"724":982,"725":983,"726":984,"727":986,"728":990,"729":991,"730":992,"731":994,"732":997,"733":998,"734":999,"735":1000,"736":1001,"737":1003,"738":1008,"739":1011,"740":1012,"741":1014,"742":1015,"743":1016,"744":1019,"745":1022},{"0":2,"1":8,"2":14,"3":18,"4":25,"5":40,"6":74,"7":100,"8":108,"9":113,"10":122,"11":127,"12":135,"13":136,"14":140,"15":148,"16":154,"17":156,"18":161,"19":188,"20":199,"21":208,"22":210,"23":213,"24":217,"25":225,"26":227,"27":229,"28":239,"29":240,"30":249,"31":253,"32":261,"33":270,"34":272,"35":291,"36":294,"37":295,"38":323,"39":334,"40":346,"41":350,"42":355,"43":361,"44":390,"45":401,"46":414,"47":421,"48":426,"49":453,"50":475,"51":489,"52":495,"53":502,"54":508,"55":515,"56":526,"57":527,"58":529,"59":532,"60":536,"61":540,"62":541,"63":550,"64":556,"65":558,"66":561,"67":564,"68":567,"69":574,"70":579,"71":582,"72":583,"73":584,"74":585,"75":587,"76":590,"77":596,"78":606,"79":608,"80":609,"81":610,"82":611,"83":614,"84":616,"85":620,"86":624,"87":626,"88":627,"89":628,"90":631,"91":633,"92":638,"93":648,"94":650,"95":651,"96":662,"97":665,"98":672,"99":677,"100":686,"101":695,"102":696,"103":707,"104":715,"105":716,"106":717,"107":719,"108":721,"109":722,"110":723,"111":725,"112":726,"113":744,"114":751,"115":754,"116":756,"117":764,"118":769,"119":772,"120":777,"121":779,"122":782,"123":787,"124":793,"125":794,"126":803,"127":808,"128":809,"129":813,"130":816,"131":819,"132":820,"133":821,"134":823,"135":833,"136":835,"137":836,"138":839,"139":845,"140":854,"141":855,"142":856,"143":857,"144":860,"145":863,"146":864,"147":865,"148":866,"149":869,"150":874,"151":880,"153":886,"154":889,"155":896,"156":900,"157":903,"158":908,"159":910,"160":912,"161":919,"162":923,"163":924,"164":927,"165":928,"166":931,"167":934,"168":943,"169":947,"170":949,"171":950,"172":951,"173":957,"174":960,"175":967,"176":972,"177":973,"178":974,"179":975,"180":976,"181":978,"182":993,"183":996,"184":1004,"185":1006,"186":1007,"187":1009,"188":1010,"189":1013,"190":1020,"191":1021},[37,53,97,110,274,467,491,533,545,552,568,617,635,640,642,658,660,667,670,671,674,697,765,773,781,790,826,827,878,885,897,979,980,988,989,1002,1017,1018],{"0":164,"1":521,"2":535,"3":537,"4":551,"5":560,"6":586,"7":591,"8":652,"9":730,"11":789,"12":802,"13":804,"14":848,"15":890,"16":893,"17":921,"18":981,"19":985,"20":987},[623,669,690,713,776],{"1":676,"2":702,"3":842,"4":881,"5":915,"6":964,"7":1005},[514,603,882,905,940,959,965],{"1":859,"3":873}]