[{"0":0,"1":1,"2":2,"3":4,"4":5,"5":6,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"12":13,"13":14,"14":16,"15":17,"16":18,"17":19,"18":21,"19":23,"20":24,"21":25,"22":27,"24":29,"25":30,"26":31,"27":32,"28":33,"29":34,"30":35,"31":36,"32":37,"33":38,"34":39,"35":40,"37":42,"38":43,"39":45,"40":46,"41":47,"42":48,"43":49,"44":50,"45":51,"46":52,"47":53,"48":54,"49":55,"51":57,"52":58,"53":59,"54":60,"55":61,"56":62,"58":64,"59":66,"60":67,"61":68,"62":69,"63":70,"64":71,"65":72,"66":73,"68":75,"69":76,"70":78,"71":79,"72":80,"73":81,"74":83,"75":84,"76":85,"77":86,"78":87,"79":88,"80":89,"81":90,"82":91,"83":94,"84":95,"85":96,"86":98,"87":99,"88":100,"89":101,"90":102,"91":104,"92":105,"93":107,"94":108,"95":109,"96":110,"97":112,"98":113,"99":114,"100":116,"101":117,"102":118,"103":120,"104":121,"105":122,"106":123,"108":125,"109":126,"110":127,"111":128,"112":129,"114":131,"115":134,"116":135,"117":136,"118":137,"120":139,"121":140,"122":141,"123":142,"124":143,"125":144,"126":146,"128":148,"129":149,"130":150,"131":151,"132":152,"133":153,"135":155,"136":156,"137":157,"138":158,"139":159,"140":161,"141":162,"142":163,"143":164,"144":165,"145":166,"146":167,"147":168,"148":170,"149":171,"150":172,"151":173,"152":174,"153":175,"154":176,"155":177,"156":178,"157":179,"158":180,"159":181,"160":182,"161":183,"162":185,"163":186,"164":188,"165":189,"166":190,"167":191,"168":193,"170":195,"171":196,"172":197,"173":198,"174":199,"175":200,"176":201,"177":203,"178":204,"179":205,"180":206,"181":207,"182":208,"183":209,"184":210,"185":211,"186":212,"187":214,"188":215,"189":216,"190":217,"191":219,"192":221,"193":222,"194":223,"195":224,"196":225,"197":226,"198":227,"199":228,"200":229,"201":230,"202":231,"203":232,"204":233,"205":234,"206":235,"207":236,"208":237,"209":238,"210":239,"211":241,"212":242,"213":243,"214":244,"215":245,"216":246,"217":248,"218":249,"219":251,"220":252,"221":253,"222":254,"223":256,"224":257,"225":258,"226":259,"227":260,"228":261,"229":262,"230":263,"231":264,"233":267,"234":268,"235":269,"237":271,"238":273,"239":274,"240":275,"241":276,"242":278,"243":279,"244":280,"245":281,"246":282,"247":283,"248":284,"249":285,"250":286,"251":287,"252":288,"253":289,"254":290,"255":292,"256":293,"257":294,"258":295,"259":296,"260":297,"261":298,"262":299,"263":300,"264":301,"265":303,"266":305,"267":306,"268":307,"269":309,"270":310,"272":312,"273":313,"274":314,"275":315,"278":318,"279":319,"280":320,"281":321,"282":322,"283":323,"284":324,"285":325,"286":326,"287":327,"288":329,"289":330,"290":331,"291":332,"292":333,"293":334,"294":336,"295":337,"296":338,"297":339,"298":340,"299":341,"300":343,"301":344,"302":345,"303":346,"304":347,"305":348,"306":350,"307":351,"308":353,"309":354,"310":355,"311":356,"312":357,"313":358,"314":360,"315":361,"316":363,"317":364,"318":366,"319":367,"320":368,"321":369,"322":371,"323":372,"324":373,"325":374,"326":375,"327":376,"328":377,"329":378,"330":379,"334":383,"335":384,"336":385,"337":386,"338":387,"339":388,"340":389,"341":390,"342":391,"343":392,"344":393,"345":394,"346":395,"347":397,"348":398,"349":399,"350":400,"351":401,"352":402,"353":403,"354":405,"355":406,"356":407,"357":408,"358":409,"359":412,"360":413,"361":414,"362":415,"363":417,"364":418,"365":420,"366":421,"369":424,"370":425,"371":427,"372":428,"373":430,"374":431,"375":432,"376":433,"377":434,"378":435,"379":436,"381":438,"382":439,"383":440,"384":441,"385":442,"386":443,"387":444,"388":445,"389":446,"390":447,"391":448,"392":449,"393":450,"394":451,"395":452,"396":453,"397":454,"398":455,"399":456,"400":457,"402":459,"403":460,"404":462,"405":463,"406":464,"407":467,"408":468,"409":469,"410":470,"411":471,"412":473,"413":474,"414":475,"415":476,"416":478,"417":479,"418":480,"419":481,"420":482,"421":483,"422":484,"423":486,"424":487,"425":488,"426":489,"427":490,"428":491,"429":492,"430":493,"431":494,"432":496,"433":497,"434":499,"435":501,"436":503,"437":504,"438":505,"439":506,"440":507,"441":508,"443":510,"444":511,"445":513,"446":515,"447":517,"448":518,"449":520,"450":522,"451":524,"452":526,"453":532,"454":534,"455":535,"456":541,"457":544,"458":546,"459":551,"460":553,"461":554,"462":557,"463":562,"464":575,"465":578,"466":579,"467":583,"468":584,"469":587,"470":588,"471":592,"472":598,"473":601,"474":602,"475":603,"476":609,"477":612,"478":614,"479":617,"480":619,"481":620,"482":622,"483":623,"484":625,"485":627,"486":629,"487":630,"488":633,"489":635,"490":639,"491":640,"492":641,"493":644,"494":648,"495":649,"496":652,"497":654,"498":658,"499":659,"500":664,"501":665,"502":669,"503":671,"504":674,"505":675,"506":676,"507":678,"508":683,"509":684,"510":688,"511":690,"512":692,"513":696,"514":697,"515":698,"516":700,"517":710,"518":716,"519":720,"520":725,"521":731,"522":732,"523":734,"524":737,"525":740,"526":743,"527":747,"528":749,"529":751,"530":752,"531":762,"532":763,"533":766,"534":767,"535":773,"536":774,"537":779,"538":783,"539":786,"540":787,"541":789,"542":791,"543":796,"544":798,"545":801,"546":804,"547":806,"548":807,"549":812,"550":813,"551":819,"552":821,"553":824,"554":827,"555":830,"556":834,"557":835,"558":837,"559":839,"560":844,"561":848,"562":853,"563":856,"564":858,"565":861,"566":862,"567":866,"568":870,"569":872,"570":873,"571":874,"572":875,"573":876,"574":880,"575":881,"576":885,"577":888,"578":897,"579":898,"580":900,"581":901,"582":907,"583":910,"584":919,"585":920,"586":921,"587":926,"588":927,"589":929,"590":930,"592":933,"593":935,"594":939,"595":947,"596":949,"597":952,"598":953,"599":954,"600":958,"601":964,"602":969,"603":970,"604":971,"605":978,"606":979,"607":980,"608":985,"609":986,"610":987,"611":994,"612":997,"613":999,"614":1000,"615":1001,"616":1004,"617":1005,"618":1008,"619":1012,"620":1015,"621":1020},{"0":3,"1":15,"2":20,"3":22,"4":26,"5":44,"6":65,"7":82,"8":92,"9":93,"10":97,"11":103,"12":106,"13":111,"14":115,"15":119,"16":132,"17":133,"18":145,"19":160,"20":169,"21":184,"22":192,"23":202,"24":218,"25":220,"26":240,"27":247,"28":250,"29":255,"30":265,"31":272,"32":277,"33":302,"34":304,"35":308,"36":328,"37":335,"38":342,"39":349,"40":352,"41":359,"42":365,"43":370,"44":396,"46":410,"47":411,"48":416,"49":419,"50":426,"51":429,"52":461,"53":465,"54":472,"55":477,"56":495,"57":498,"58":500,"59":516,"60":519,"61":523,"62":527,"63":528,"64":540,"65":545,"66":547,"67":548,"68":552,"69":556,"70":559,"71":560,"72":569,"73":574,"74":580,"75":581,"76":586,"77":591,"78":594,"79":599,"80":600,"81":605,"82":608,"83":610,"84":615,"85":616,"86":618,"87":624,"88":632,"89":636,"90":637,"91":638,"92":645,"93":646,"94":647,"95":650,"96":653,"97":662,"98":667,"99":668,"100":672,"101":680,"102":681,"103":686,"104":687,"105":691,"106":693,"107":702,"108":709,"109":712,"110":715,"111":717,"112":719,"113":723,"114":727,"115":735,"116":738,"117":746,"118":748,"119":753,"120":754,"121":758,"122":760,"123":764,"124":768,"125":769,"126":771,"127":780,"128":784,"129":785,"130":797,"131":800,"132":814,"133":815,"134":823,"135":825,"136":826,"137":828,"138":832,"139":833,"140":836,"141":842,"142":845,"143":847,"144":849,"145":851,"146":855,"147":857,"148":860,"149":864,"150":867,"151":882,"152":883,"153":887,"154":889,"155":892,"156":893,"157":899,"158":904,"159":906,"160":908,"161":912,"162":913,"163":915,"164":917,"165":922,"166":924,"167":925,"168":928,"169":931,"170":934,"171":936,"172":937,"173":942,"174":944,"175":945,"176":946,"177":956,"178":957,"179":962,"180":967,"181":974,"182":981,"183":983,"184":990,"185":1003,"186":1013,"187":1017,"188":1019},[77,187,213,291,362,466,485,502,529,530,537,539,542,558,563,565,567,577,593,604,606,611,621,626,643,660,673,677,679,701,705,707,722,729,736,739,745,756,757,759,761,765,772,776,778,781,793,802,808,810,817,822,840,846,850,852,863,865,869,877,896,902,916,923,943,948,950,951,955,959,960,972,977,992,993,995,996,1010],{"0":512,"1":514,"2":536,"3":538,"4":543,"5":570,"6":572,"7":582,"8":585,"9":607,"10":628,"11":651,"12":655,"13":661,"14":694,"15":706,"16":713,"17":733,"18":750,"19":755,"20":782,"21":788,"22":794,"23":820,"24":831,"25":838,"26":841,"27":854,"28":878,"29":884,"30":886,"31":894,"32":940,"33":941,"34":965,"35":984,"37":998,"38":1006,"39":1009,"40":1014},[531,555,564,566,568,571,573,590,597,613,642,666,670,689,695,711,718,792,799,805,816,829,879,895,938,966,976,988,1007,1023],{"0":550,"1":561,"2":596,"3":656,"4":657,"5":682,"6":708,"8":726,"9":728,"10":741,"11":744,"12":818,"13":843,"14":859,"15":891,"16":909,"17":968,"18":982,"19":1002,"20":1016,"21":1022},{"0":521,"1":533,"2":699,"3":730,"4":742,"5":803,"8":914,"9":961,"10":1021},[595,714,770,795,871,918,1011],[525,589,634,703,724,811,868,963,973,975,991,1018],[704,775,903],{"1":663,"2":790},[]]