[{"0":0,"1":1,"2":3,"3":4,"4":5,"5":6,"6":7,"8":9,"10":11,"11":12,"12":13,"15":16,"16":17,"17":18,"18":19,"19":20,"20":22,"21":23,"22":24,"24":26,"25":27,"26":28,"27":29,"28":30,"29":31,"31":33,"32":34,"33":35,"34":36,"35":37,"36":39,"37":40,"38":41,"39":42,"40":43,"41":44,"42":46,"43":48,"46":52,"47":53,"48":54,"49":55,"50":56,"51":57,"53":59,"54":60,"55":61,"56":62,"57":64,"58":65,"59":66,"60":67,"61":68,"62":69,"63":70,"64":71,"65":72,"66":73,"69":77,"70":78,"72":81,"75":84,"76":85,"78":87,"79":88,"80":89,"81":90,"82":91,"83":92,"85":94,"86":96,"87":97,"88":98,"89":99,"90":101,"91":102,"92":103,"93":104,"94":105,"95":107,"96":108,"97":109,"98":110,"100":112,"102":114,"103":115,"104":116,"105":117,"106":118,"107":119,"109":121,"110":122,"111":123,"112":124,"113":125,"114":126,"115":127,"116":128,"117":129,"118":130,"119":131,"120":132,"121":133,"122":134,"123":135,"124":136,"126":138,"127":139,"128":140,"129":141,"130":142,"132":144,"135":147,"136":148,"137":149,"138":151,"139":152,"140":153,"141":154,"143":156,"146":159,"148":161,"149":162,"150":163,"151":164,"152":166,"153":167,"154":168,"155":170,"156":171,"157":172,"159":174,"160":176,"161":177,"162":178,"164":180,"166":182,"167":183,"168":184,"169":186,"170":187,"172":189,"174":193,"175":194,"176":195,"177":196,"178":197,"179":198,"180":199,"181":200,"182":201,"183":203,"184":204,"186":206,"187":207,"188":208,"189":209,"190":210,"191":211,"192":212,"193":213,"194":214,"195":215,"196":218,"197":219,"198":220,"199":221,"200":222,"201":223,"202":225,"203":226,"204":227,"205":228,"206":229,"207":230,"208":232,"210":235,"211":236,"212":237,"213":238,"214":239,"215":240,"217":242,"218":243,"219":244,"220":245,"221":246,"224":250,"225":251,"227":253,"228":254,"230":256,"231":257,"232":258,"233":259,"236":262,"237":263,"238":264,"239":265,"240":266,"241":267,"242":268,"243":269,"245":271,"247":273,"248":274,"249":275,"250":277,"251":278,"252":279,"253":281,"254":282,"255":283,"257":285,"259":288,"260":289,"261":290,"262":291,"263":292,"264":293,"265":295,"266":296,"267":298,"268":299,"269":300,"270":301,"271":302,"272":303,"273":304,"274":305,"275":306,"276":307,"277":308,"278":310,"279":314,"280":315,"281":316,"282":317,"283":318,"285":320,"286":321,"287":322,"288":323,"289":325,"291":328,"292":329,"293":330,"294":331,"295":332,"296":333,"297":334,"298":335,"299":337,"300":338,"301":339,"302":340,"303":341,"304":342,"306":344,"307":345,"308":347,"309":348,"310":349,"311":350,"312":351,"313":353,"315":356,"316":357,"317":358,"318":359,"319":360,"320":361,"321":362,"322":363,"323":365,"324":366,"325":367,"327":369,"328":370,"329":372,"330":373,"331":374,"332":375,"334":377,"335":378,"336":379,"337":380,"338":382,"339":383,"340":384,"342":387,"343":388,"344":389,"345":390,"346":391,"347":392,"349":394,"350":395,"351":396,"352":397,"353":398,"354":399,"358":403,"359":404,"360":405,"361":406,"362":407,"363":408,"365":410,"366":411,"367":413,"368":414,"369":415,"370":416,"372":419,"373":420,"374":421,"375":422,"376":423,"377":424,"379":426,"380":427,"381":428,"382":429,"383":430,"384":431,"385":432,"387":435,"388":436,"389":437,"390":438,"391":439,"392":441,"393":442,"394":443,"396":445,"397":446,"398":448,"399":449,"400":450,"401":451,"402":452,"404":454,"405":456,"406":457,"407":458,"408":459,"409":460,"410":462,"411":463,"412":464,"413":465,"414":466,"415":467,"416":468,"417":469,"418":470,"419":471,"420":472,"421":473,"422":478,"423":479,"424":482,"425":483,"426":486,"427":490,"428":492,"429":493,"430":496,"431":498,"432":499,"433":500,"434":501,"435":506,"436":508,"437":510,"438":513,"439":516,"440":517,"441":519,"442":520,"443":523,"444":525,"445":527,"446":528,"447":530,"448":531,"449":534,"450":539,"451":540,"452":541,"453":542,"454":543,"455":544,"456":548,"457":549,"458":550,"459":551,"460":552,"461":554,"462":555,"463":556,"464":558,"465":561,"466":562,"467":564,"468":565,"469":569,"470":571,"471":578,"472":579,"473":581,"474":582,"475":585,"476":588,"477":598,"478":599,"479":600,"480":601,"481":605,"483":607,"484":608,"485":609,"486":610,"487":611,"488":612,"489":613,"490":614,"491":616,"492":619,"493":621,"494":622,"495":623,"497":631,"499":633,"500":636,"501":638,"502":641,"503":643,"504":645,"505":646,"506":647,"508":653,"509":654,"510":658,"511":660,"512":661,"513":664,"514":665,"515":666,"516":667,"517":669,"518":670,"519":672,"520":673,"521":675,"522":676,"523":677,"524":678,"525":680,"526":681,"527":683,"528":685,"529":686,"530":688,"531":689,"532":690,"533":692,"534":693,"535":695,"536":696,"537":699,"538":702,"539":703,"540":704,"541":705,"542":708,"543":709,"544":710,"545":711,"546":712,"547":714,"548":718,"549":726,"550":730,"551":731,"552":738,"553":739,"554":740,"555":741,"556":743,"557":744,"559":748,"560":753,"561":755,"562":757,"563":758,"564":764,"565":765,"566":769,"567":771,"568":772,"569":773,"570":774,"571":775,"572":777,"573":779,"574":781,"575":782,"576":784,"577":785,"578":787,"579":788,"580":790,"581":791,"582":798,"583":799,"584":803,"585":804,"586":809,"587":812,"588":813,"589":819,"590":820,"592":822,"593":824,"594":826,"595":827,"596":830,"597":832,"598":833,"599":836,"600":838,"601":841,"602":842,"603":843,"604":844,"605":846,"606":848,"607":849,"608":856,"609":857,"610":858,"611":859,"612":860,"613":863,"615":865,"616":866,"618":868,"619":869,"620":872,"621":877,"622":878,"623":881,"624":882,"625":883,"626":886,"627":887,"628":889,"629":890,"630":891,"631":893,"632":896,"633":900,"634":901,"635":903,"636":905,"637":908,"638":909,"639":910,"640":912,"641":915,"642":916,"643":920,"644":921,"645":922,"646":923,"647":924,"648":925,"649":926,"650":927,"651":931,"652":932,"653":933,"654":934,"655":935},{"0":2,"1":21,"2":38,"3":45,"4":47,"5":50,"6":63,"7":74,"8":80,"9":95,"10":100,"11":106,"12":150,"13":165,"14":175,"15":185,"16":190,"17":191,"18":202,"19":216,"20":217,"21":224,"22":231,"23":234,"24":248,"25":276,"26":280,"27":286,"28":294,"29":297,"30":309,"31":311,"32":312,"34":324,"36":336,"37":352,"38":364,"39":371,"40":381,"41":386,"42":412,"43":417,"44":433,"45":440,"46":447,"47":455,"48":461,"49":477,"50":481,"51":484,"52":489,"53":491,"54":504,"56":509,"57":511,"58":514,"59":515,"60":518,"61":522,"63":526,"64":537,"65":563,"66":570,"68":576,"69":577,"70":586,"71":587,"72":590,"73":591,"74":596,"75":618,"76":624,"77":629,"78":630,"79":635,"80":642,"82":650,"83":651,"84":655,"85":656,"87":674,"88":697,"89":698,"90":700,"91":701,"92":717,"93":720,"94":721,"95":723,"96":724,"97":728,"98":729,"99":735,"100":736,"102":752,"103":762,"104":767,"105":768,"106":770,"107":776,"108":783,"110":789,"111":793,"112":795,"113":800,"114":801,"115":802,"116":805,"117":807,"118":811,"119":814,"121":817,"122":835,"123":837,"124":847,"125":862,"126":871,"127":875,"128":876,"129":884,"130":898,"131":911,"132":919,"133":929,"134":936,"135":940,"136":941},{"0":169,"1":346,"2":354,"3":476,"4":497,"5":535,"6":536,"7":538,"8":559,"9":617,"10":657,"11":668,"12":687,"13":691,"14":713,"15":719,"16":727,"17":734,"18":750,"20":794,"21":806,"23":829,"24":853,"26":874,"27":888,"30":907,"31":939},{"0":475,"1":566,"2":584,"3":589,"4":620,"5":625,"6":628,"7":652,"8":679,"9":706,"10":715,"11":716,"12":722,"13":759,"14":797,"16":913,"17":930},[488,557,594,626,634,649,662,682,746,778],{"1":732,"2":751,"3":756,"4":761,"5":792,"6":823,"7":879,"8":918},{"0":521,"2":568,"3":593,"4":639,"6":733,"7":742,"8":861,"9":895,"10":899},{"0":474,"1":480,"2":487,"3":494,"4":495,"5":503,"6":505,"7":575,"8":603,"9":763,"10":808,"12":845,"13":928,"14":937},[529,572,725,766,818,828,851,852,938],{"0":485,"1":533,"2":547,"3":637,"4":815,"6":840,"7":854,"8":894,"10":917},[502,602,659,760,796,825,904],[512,532,545,573,604,671,684,780,855],[567,580,597,737,745,839,850],{"2":640,"3":694,"4":873,"6":914},[546]]