[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":7,"8":9,"9":10,"10":11,"11":12,"12":14,"13":15,"14":16,"15":17,"17":19,"18":20,"19":21,"20":23,"21":24,"22":25,"23":26,"24":27,"25":28,"26":29,"27":30,"28":31,"29":32,"30":33,"31":34,"32":35,"33":36,"34":38,"35":39,"36":41,"37":42,"38":43,"39":44,"40":45,"41":46,"42":47,"43":48,"44":50,"45":52,"46":54,"47":55,"48":56,"51":59,"52":60,"54":62,"55":63,"56":64,"57":65,"58":66,"59":67,"60":68,"61":69,"62":70,"63":71,"64":72,"65":73,"66":74,"67":75,"68":76,"70":79,"71":80,"73":84,"74":86,"75":87,"76":88,"77":89,"78":90,"80":92,"81":93,"82":94,"83":95,"84":96,"85":97,"86":98,"87":99,"88":100,"89":101,"90":102,"91":103,"92":104,"93":105,"94":106,"95":107,"96":110,"97":111,"98":112,"99":114,"100":115,"101":116,"102":118,"103":119,"104":120,"105":121,"106":122,"107":123,"108":124,"109":125,"110":126,"111":127,"112":128,"113":129,"114":130,"115":131,"116":132,"117":133,"118":134,"119":135,"120":136,"121":138,"122":139,"123":140,"124":141,"126":143,"127":144,"128":145,"129":147,"130":148,"131":149,"132":150,"133":151,"134":152,"136":154,"137":155,"138":156,"140":158,"141":159,"142":160,"143":161,"144":162,"145":163,"146":164,"147":165,"148":166,"149":167,"150":168,"151":169,"152":170,"153":171,"154":172,"155":173,"156":174,"157":175,"158":176,"159":177,"160":178,"161":179,"162":180,"163":181,"164":182,"165":183,"166":184,"167":185,"168":186,"169":187,"170":188,"172":190,"173":191,"174":192,"175":193,"176":194,"177":195,"178":196,"179":197,"180":198,"181":199,"182":200,"183":202,"184":204,"185":205,"186":206,"187":207,"188":208,"189":209,"190":210,"191":211,"192":212,"193":214,"194":215,"195":216,"196":217,"197":219,"198":220,"199":221,"200":222,"201":223,"202":224,"203":225,"204":226,"205":227,"206":228,"207":229,"208":230,"209":231,"210":232,"211":234,"212":235,"213":236,"214":238,"215":239,"216":241,"217":242,"218":243,"219":244,"220":245,"221":247,"222":248,"223":249,"224":250,"225":251,"226":252,"227":253,"228":255,"229":256,"230":257,"231":258,"232":259,"233":260,"234":261,"235":263,"236":264,"237":265,"239":267,"240":268,"241":269,"242":270,"243":272,"244":273,"245":274,"246":275,"247":276,"248":277,"249":279,"250":280,"251":281,"252":283,"253":284,"254":286,"256":288,"257":289,"258":290,"259":291,"260":292,"261":293,"262":294,"263":295,"264":296,"265":297,"266":298,"267":299,"268":300,"269":301,"270":302,"271":303,"272":304,"273":305,"274":306,"275":307,"276":308,"277":309,"278":310,"279":312,"280":313,"281":314,"282":315,"283":316,"284":317,"285":318,"286":319,"287":320,"288":321,"290":323,"291":324,"292":325,"293":326,"294":327,"295":328,"296":329,"297":330,"298":331,"299":334,"300":335,"301":336,"302":337,"303":338,"304":339,"305":341,"306":342,"307":343,"308":344,"309":345,"310":346,"311":347,"312":348,"313":349,"314":350,"315":352,"316":353,"317":354,"318":355,"319":356,"320":357,"321":358,"322":359,"323":360,"324":361,"325":362,"326":363,"327":364,"328":365,"329":366,"330":367,"331":368,"332":369,"333":370,"334":371,"335":372,"336":373,"337":374,"338":375,"339":377,"340":378,"341":379,"343":381,"344":382,"345":383,"346":384,"347":385,"348":386,"349":387,"350":389,"351":390,"352":391,"353":392,"354":393,"355":394,"356":395,"357":396,"358":397,"360":399,"361":400,"362":401,"363":402,"364":403,"365":406,"366":407,"367":408,"368":409,"369":410,"370":411,"371":412,"372":413,"373":414,"374":416,"375":418,"376":419,"377":421,"378":422,"379":423,"380":424,"381":425,"382":426,"383":427,"384":428,"386":430,"387":431,"388":432,"389":433,"390":434,"391":435,"393":437,"394":438,"395":439,"396":440,"397":441,"398":442,"399":443,"400":444,"401":445,"402":446,"403":447,"404":448,"405":449,"406":451,"407":453,"408":454,"409":455,"410":457,"411":458,"412":460,"413":461,"414":462,"415":464,"416":465,"417":466,"418":467,"419":468,"420":469,"421":470,"422":472,"423":473,"424":475,"425":476,"426":477,"427":478,"428":479,"429":481,"430":482,"431":483,"432":484,"433":488,"434":490,"435":491,"436":492,"437":493,"438":494,"439":495,"440":496,"441":497,"442":498,"443":499,"444":500,"445":501,"446":502,"447":505,"448":506,"449":507,"450":508,"451":511,"452":514,"453":516,"454":517,"455":518,"456":519,"457":520,"458":523,"459":524,"460":528,"461":529,"462":531,"463":532,"464":533,"465":536,"466":538,"467":540,"468":541,"469":542,"470":545,"471":546,"472":550,"473":552,"474":554,"475":555,"476":557,"477":563,"478":566,"479":567,"480":568,"481":569,"482":571,"483":573,"484":574,"485":575,"486":577,"487":579,"488":583,"489":584,"490":585,"491":586,"492":587,"493":589,"494":590,"495":591,"496":592,"497":593,"498":595,"499":596,"500":600,"501":601,"502":602,"503":605,"504":606,"505":607,"506":613,"507":615,"508":620,"509":621,"510":625,"511":626,"512":627,"513":629,"514":630,"515":632,"516":636,"517":637,"518":640,"519":641,"520":642,"521":643,"522":647,"523":648,"524":651,"525":652,"526":654,"527":655,"528":656,"529":659,"530":661,"531":663,"532":666,"533":669,"534":672,"535":674,"536":675,"537":676,"538":678,"539":679,"540":680,"541":681,"542":682,"543":683,"544":684,"545":685,"546":688,"547":689,"548":692,"549":696,"550":697,"551":700,"552":702,"553":708,"554":710,"555":711,"556":713,"557":714,"558":715,"559":716,"560":717,"561":718,"562":721,"563":722,"564":724,"565":728,"566":730,"567":733,"568":735,"569":738,"570":739,"571":741,"572":742,"573":744,"574":745,"575":747,"576":755,"577":757,"578":759,"579":760,"580":761,"581":762,"582":767,"583":768,"584":770,"585":772,"586":773,"587":776,"588":777,"589":778,"590":781,"591":783,"592":785,"593":788,"594":791,"595":793,"596":794,"597":795,"598":797,"599":803,"600":806,"601":813,"602":816,"603":817,"604":818,"605":821,"606":826,"607":828,"608":830,"609":833,"610":835,"611":836,"612":837,"613":839,"614":840,"615":842,"616":843,"617":844,"618":850,"619":852,"620":853,"621":855,"622":856,"623":857,"624":859,"625":860,"626":862,"627":865,"628":867,"629":868,"630":870,"631":873,"632":878,"633":882,"634":883,"635":884,"636":885,"637":886,"638":887,"639":888,"640":892,"641":894,"642":906,"643":910,"644":911,"645":912,"646":913,"647":916,"648":917,"649":921,"650":926,"651":931,"652":934,"653":935,"654":936,"655":937,"656":941,"657":942,"658":944,"659":946,"660":947,"661":949,"662":950,"663":952,"664":956,"665":958,"666":960,"667":964,"668":965,"669":967,"670":968,"671":970,"672":972,"673":973,"674":974,"675":976,"676":978,"677":979,"678":980,"679":986,"680":987,"681":988,"682":990,"683":991,"684":994,"685":997,"686":998,"687":1001,"688":1002,"689":1003,"690":1004,"691":1005,"692":1006,"693":1007,"694":1008,"695":1009,"696":1011,"697":1012,"698":1014,"699":1017,"700":1018,"701":1019,"702":1020,"703":1021,"704":1023},{"0":8,"1":13,"2":22,"3":40,"4":49,"5":51,"6":53,"7":78,"8":81,"9":83,"10":85,"11":108,"12":113,"13":117,"14":137,"15":146,"16":201,"17":203,"18":213,"19":218,"20":233,"21":237,"22":240,"23":246,"24":254,"25":262,"26":271,"27":278,"28":282,"29":285,"30":311,"31":332,"32":333,"33":340,"34":351,"35":388,"36":404,"37":405,"38":415,"39":417,"40":420,"41":450,"42":452,"43":456,"44":459,"45":463,"46":471,"47":474,"48":480,"49":485,"50":486,"51":487,"52":503,"53":504,"54":509,"55":510,"56":512,"57":513,"58":522,"59":527,"60":534,"61":537,"62":544,"63":549,"64":551,"65":553,"66":558,"67":560,"68":561,"69":564,"70":572,"71":576,"72":578,"73":580,"74":581,"75":588,"76":594,"77":598,"78":611,"79":612,"80":614,"81":616,"82":619,"83":622,"84":623,"85":624,"86":628,"87":631,"88":634,"89":638,"90":646,"91":649,"92":658,"93":660,"94":665,"95":668,"96":670,"97":673,"98":686,"99":687,"100":691,"101":695,"103":701,"104":703,"105":704,"106":705,"107":706,"108":707,"109":709,"110":725,"111":726,"112":727,"113":732,"114":736,"115":746,"116":749,"117":750,"118":751,"119":752,"120":754,"121":756,"122":758,"123":763,"124":764,"125":766,"126":771,"127":775,"128":780,"129":786,"130":787,"131":796,"132":798,"133":801,"134":802,"135":805,"136":807,"137":810,"138":811,"139":814,"140":819,"141":820,"142":822,"143":824,"144":825,"145":827,"146":829,"147":832,"148":834,"149":845,"150":847,"151":848,"152":849,"153":858,"154":861,"155":863,"156":864,"157":872,"158":874,"159":875,"160":876,"161":879,"162":880,"163":881,"165":891,"166":893,"167":898,"168":900,"169":901,"170":903,"171":908,"172":909,"173":914,"174":915,"175":918,"176":920,"177":925,"178":929,"179":932,"180":933,"181":938,"182":939,"183":948,"184":951,"185":955,"186":957,"187":961,"188":962,"189":963,"190":966,"191":969,"192":975,"193":977,"194":981,"195":982,"196":983,"197":992,"198":995,"199":996,"200":999,"201":1010,"202":1016,"203":1022},[37,109,376,521,535,539,556,559,570,597,604,609,610,633,639,653,667,671,677,693,719,720,723,737,748,765,774,782,784,792,799,804,812,823,846,866,869,895,927,928,945],[489,526,547,548,582,618,644,657,664,698,731,769,841,896,907,924,943,959,993,1013],[525,608,617,635,650,690,789,800,808,838,897,904,923,953,954,985,1000],[530,543,603,645,662,694,712,729,740,743,779,851,877,922],[562,790,809,919,930,971,989],[515,565,734,815,890,1015],[599,831,871,899,902,940,984],[753,854,905]]