[{"0":0,"1":1,"2":4,"3":5,"4":6,"5":7,"6":8,"7":9,"8":10,"9":11,"10":12,"11":13,"12":14,"13":15,"14":16,"15":17,"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,"30":32,"31":33,"33":35,"34":36,"35":37,"36":38,"37":39,"38":40,"39":41,"40":42,"41":43,"42":44,"43":45,"45":47,"46":48,"47":49,"48":51,"49":52,"50":53,"51":54,"52":55,"54":57,"55":58,"56":59,"57":60,"58":61,"59":63,"60":64,"61":65,"62":66,"63":68,"64":69,"65":70,"66":72,"67":73,"68":74,"69":75,"70":76,"71":77,"72":78,"73":79,"74":80,"75":81,"76":82,"77":83,"78":84,"79":85,"80":86,"81":87,"82":88,"83":89,"84":91,"85":92,"86":93,"87":94,"88":96,"89":97,"90":99,"91":100,"92":101,"93":102,"94":104,"95":105,"96":106,"97":108,"98":109,"99":110,"100":111,"101":112,"102":114,"103":115,"104":116,"105":117,"106":118,"108":120,"109":121,"111":123,"112":124,"113":125,"114":126,"115":127,"116":128,"117":130,"118":131,"119":132,"120":133,"121":134,"122":135,"123":136,"124":138,"125":139,"126":140,"127":141,"128":142,"129":143,"130":145,"131":147,"132":148,"133":149,"134":150,"135":151,"136":152,"137":155,"138":157,"139":158,"140":159,"141":160,"142":163,"143":164,"144":165,"145":167,"146":168,"147":169,"148":170,"149":171,"150":172,"152":174,"153":175,"154":177,"155":179,"156":180,"157":181,"158":182,"159":184,"160":185,"161":186,"163":188,"164":189,"165":190,"166":192,"167":193,"168":194,"169":195,"170":196,"171":198,"172":199,"173":200,"174":201,"175":202,"176":204,"177":205,"178":206,"179":207,"180":208,"181":209,"182":210,"183":213,"184":214,"185":215,"186":218,"187":219,"188":220,"189":221,"190":222,"191":223,"192":226,"193":227,"194":228,"195":229,"196":230,"197":231,"198":232,"199":233,"200":235,"201":236,"202":237,"203":238,"204":239,"205":241,"206":242,"207":243,"208":244,"209":245,"210":246,"211":250,"212":251,"213":252,"214":253,"215":254,"216":256,"217":257,"218":258,"219":259,"220":260,"221":261,"222":262,"223":264,"224":265,"226":268,"227":269,"228":271,"229":272,"230":273,"231":274,"232":275,"233":276,"234":277,"235":278,"237":280,"238":282,"239":283,"240":284,"242":287,"243":288,"244":289,"245":291,"246":292,"247":293,"248":295,"249":296,"250":297,"251":298,"252":299,"253":300,"254":301,"255":303,"256":304,"257":305,"258":306,"259":307,"260":308,"261":309,"262":311,"263":312,"264":313,"265":314,"266":315,"267":316,"268":317,"269":318,"270":319,"271":321,"272":322,"273":324,"274":326,"275":327,"276":328,"277":329,"278":330,"279":332,"280":333,"281":334,"282":335,"283":336,"284":337,"285":339,"286":340,"287":341,"288":342,"289":343,"290":344,"291":345,"292":346,"293":348,"294":349,"295":350,"296":351,"297":352,"298":353,"299":355,"300":356,"301":357,"302":358,"303":359,"304":360,"305":361,"306":362,"307":363,"308":364,"309":366,"310":368,"311":369,"312":370,"313":371,"314":372,"315":373,"316":374,"317":375,"318":376,"321":379,"322":380,"323":381,"324":382,"325":383,"326":384,"327":386,"328":387,"329":389,"330":390,"331":391,"332":392,"333":393,"334":394,"335":395,"336":396,"337":397,"338":398,"339":399,"340":400,"341":402,"342":403,"343":404,"344":405,"345":406,"346":407,"347":409,"348":411,"349":412,"350":413,"351":414,"352":415,"353":416,"354":419,"355":421,"356":422,"357":424,"358":425,"359":426,"360":427,"361":428,"362":429,"363":430,"364":431,"365":432,"366":433,"367":434,"369":436,"370":437,"371":438,"372":440,"373":441,"374":442,"375":443,"376":444,"377":445,"378":446,"379":447,"380":448,"381":449,"382":450,"383":451,"384":452,"385":453,"386":454,"387":455,"388":456,"389":458,"390":459,"391":460,"392":461,"393":462,"394":463,"395":465,"396":466,"397":467,"398":468,"399":469,"400":470,"401":471,"402":472,"403":474,"404":475,"405":476,"406":477,"407":478,"408":479,"409":480,"410":481,"411":482,"412":483,"413":484,"414":485,"415":486,"416":487,"417":488,"418":490,"419":491,"420":492,"421":493,"422":494,"423":497,"424":499,"425":501,"426":502,"427":503,"428":504,"429":505,"430":506,"431":507,"432":508,"433":509,"434":511,"435":513,"436":523,"437":528,"438":529,"439":530,"440":533,"441":535,"442":536,"443":537,"444":538,"445":541,"446":542,"447":546,"448":548,"449":549,"450":551,"451":553,"452":554,"453":555,"454":556,"455":561,"456":562,"457":563,"458":567,"459":568,"460":569,"461":572,"462":573,"463":576,"464":578,"465":580,"466":581,"467":582,"468":583,"469":584,"470":586,"471":587,"472":588,"473":589,"474":590,"475":595,"476":598,"477":602,"478":603,"479":604,"480":605,"481":606,"482":608,"483":609,"484":613,"485":614,"486":615,"487":616,"488":618,"489":620,"490":621,"491":622,"492":624,"493":627,"494":633,"495":634,"496":635,"497":638,"498":641,"499":642,"500":643,"501":646,"502":647,"503":649,"504":650,"505":651,"506":652,"507":653,"508":655,"509":656,"510":657,"511":661,"512":662,"513":664,"514":666,"515":669,"516":674,"517":675,"518":678,"519":681,"520":683,"521":688,"522":692,"523":694,"524":696,"525":697,"526":700,"527":701,"528":703,"529":704,"530":705,"531":709,"532":710,"533":713,"534":714,"535":715,"536":717,"537":718,"538":719,"539":720,"540":721,"541":722,"542":723,"543":724,"544":726,"545":728,"546":729,"547":730,"548":731,"549":732,"550":735,"551":736,"552":738,"553":739,"554":740,"555":741,"556":742,"557":745,"558":746,"559":748,"560":749,"561":750,"562":753,"563":757,"564":759,"565":760,"566":761,"567":762,"568":763,"569":765,"570":766,"571":769,"572":770,"573":771,"574":772,"575":774,"576":776,"577":777,"578":778,"579":779,"580":781,"581":785,"582":786,"583":787,"584":789,"585":792,"586":793,"587":794,"588":795,"589":796,"590":797,"591":798,"592":800,"593":802,"594":803,"595":804,"596":806,"597":807,"598":809,"599":810,"600":816,"601":817,"602":818,"603":820,"604":821,"605":823,"606":825,"607":826,"608":827,"609":829,"610":831,"611":832,"612":833,"613":835,"614":836,"615":841,"616":842,"617":844,"618":845,"619":848,"620":849,"621":850,"622":852,"623":853,"624":856,"625":859,"626":860,"627":861,"628":863,"629":864,"630":865,"631":867,"632":869,"633":870,"634":872,"635":873,"636":874,"637":878,"638":879,"639":880,"640":882,"641":884,"642":886,"643":887,"644":888,"645":889,"646":891,"647":892,"648":893,"649":895,"650":897,"651":900,"652":902,"653":903,"654":905,"655":906,"656":911,"657":915,"658":916,"659":921,"660":923,"661":925,"662":926,"663":927,"664":929,"665":930,"666":932,"667":933,"668":935,"669":936,"670":938,"671":940,"672":943,"673":945,"674":946,"675":948,"676":950,"677":951,"678":952,"679":953,"680":954,"681":956,"682":957,"683":962,"684":963,"685":964,"686":965,"687":967,"688":968,"689":969,"690":970,"691":971,"692":975,"693":976,"694":983,"695":986,"696":988,"697":990,"698":991,"699":992,"700":1000,"701":1001,"702":1007,"703":1009,"704":1011,"705":1012,"706":1013,"707":1014,"708":1015,"709":1016,"710":1018,"711":1020,"712":1023},{"0":2,"1":3,"2":62,"3":71,"4":90,"5":95,"6":98,"7":103,"8":107,"9":129,"10":137,"11":144,"12":146,"13":153,"14":154,"15":156,"16":161,"17":162,"18":166,"19":176,"20":178,"21":183,"22":191,"23":197,"24":203,"25":211,"26":212,"27":217,"28":224,"29":225,"30":234,"31":240,"32":247,"33":248,"34":249,"35":255,"36":263,"37":266,"38":270,"39":281,"40":290,"41":294,"42":302,"43":310,"44":320,"45":323,"46":325,"47":331,"48":338,"49":347,"50":354,"51":365,"52":385,"53":401,"54":410,"55":418,"56":423,"57":457,"58":464,"59":473,"60":489,"61":495,"62":496,"63":498,"64":510,"65":512,"66":514,"67":515,"68":516,"69":519,"70":520,"71":521,"72":524,"73":526,"74":527,"75":532,"76":534,"77":539,"78":540,"79":543,"80":545,"81":550,"82":552,"83":557,"84":564,"85":565,"86":570,"87":571,"88":574,"89":575,"90":585,"91":591,"92":592,"93":593,"94":594,"95":596,"96":600,"97":601,"98":610,"99":612,"100":617,"101":623,"102":626,"103":628,"104":629,"105":630,"106":631,"107":632,"108":636,"109":637,"110":640,"111":645,"112":654,"113":659,"114":660,"115":668,"116":672,"117":673,"118":676,"119":677,"120":679,"121":682,"122":684,"123":685,"124":686,"125":690,"126":695,"127":706,"128":707,"129":708,"130":711,"131":712,"132":716,"133":725,"134":727,"135":733,"136":737,"137":743,"138":747,"139":751,"140":755,"141":756,"142":758,"143":764,"144":775,"145":780,"146":782,"147":783,"148":784,"149":790,"150":799,"151":801,"152":805,"153":811,"154":812,"155":819,"156":822,"157":828,"158":830,"159":834,"160":837,"161":839,"162":840,"163":847,"164":851,"165":855,"166":857,"167":858,"168":862,"169":866,"170":871,"171":875,"172":876,"173":881,"174":883,"175":885,"176":890,"177":894,"178":898,"179":904,"180":907,"181":908,"182":912,"183":913,"184":914,"185":917,"187":920,"188":922,"189":924,"190":931,"191":934,"192":937,"193":939,"194":941,"195":942,"196":944,"197":947,"198":949,"199":958,"200":959,"201":961,"202":966,"203":972,"204":973,"205":974,"206":977,"207":978,"208":980,"209":981,"210":982,"211":985,"212":989,"213":993,"214":1002,"215":1003,"216":1004,"217":1005,"218":1008,"219":1010,"220":1017},[50,67,113,216,367,388,408,420,439,500,522,531,544,558,560,577,597,607,611,619,625,663,667,687,691,693,744,768,788,791,808,814,815,824,843,854,868,899,901,909,910,960,995,997,999,1006,1019,1021],[285,417,517,639,665,689,699,896,955,979,987,994,1022],{"0":754,"1":767,"3":846,"4":877,"5":919,"6":984,"7":996},[518,547,566,579,813,998],[525,559,599,648,670,680,752,928],{"1":698,"2":702,"3":734},[644,773],[671]]