[{"0":0,"1":2,"2":3,"3":4,"4":5,"5":6,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"12":13,"13":14,"14":15,"15":16,"16":17,"20":22,"21":23,"22":24,"23":25,"24":26,"25":27,"26":28,"28":32,"29":33,"30":34,"31":35,"32":37,"33":38,"34":39,"35":40,"36":41,"37":42,"38":43,"39":44,"40":45,"41":46,"42":47,"43":48,"44":49,"45":50,"46":51,"47":52,"48":53,"49":54,"50":55,"51":56,"53":58,"54":59,"55":60,"56":61,"57":62,"58":63,"59":64,"60":65,"61":66,"62":68,"63":69,"64":70,"65":71,"66":72,"67":73,"68":74,"69":75,"70":76,"71":78,"72":79,"73":80,"74":81,"75":82,"76":83,"77":84,"78":85,"79":86,"80":87,"81":88,"83":90,"84":92,"85":93,"86":94,"87":95,"88":96,"90":98,"91":99,"93":101,"94":102,"95":103,"96":104,"97":105,"98":107,"99":108,"100":109,"101":110,"102":111,"103":112,"104":114,"105":115,"106":116,"107":117,"108":118,"109":119,"110":120,"111":121,"112":122,"114":124,"116":126,"117":127,"118":128,"119":129,"120":130,"121":131,"122":132,"123":133,"124":134,"127":138,"128":139,"129":140,"130":141,"131":142,"132":143,"133":144,"134":145,"135":146,"136":147,"137":148,"138":149,"139":150,"141":152,"142":153,"143":154,"144":155,"145":156,"146":157,"147":158,"148":159,"149":160,"150":161,"151":162,"152":163,"153":164,"154":165,"155":166,"156":167,"157":168,"158":169,"159":171,"160":172,"161":173,"162":175,"163":176,"164":177,"165":179,"167":181,"168":182,"169":183,"170":184,"171":185,"172":186,"173":187,"174":188,"176":190,"178":192,"179":193,"180":194,"181":195,"182":196,"183":197,"184":198,"185":199,"187":201,"188":202,"189":203,"190":204,"191":205,"192":206,"193":207,"194":208,"195":209,"196":210,"197":211,"199":213,"200":215,"201":216,"202":217,"203":218,"204":219,"206":221,"207":222,"208":223,"209":225,"210":226,"211":227,"212":228,"213":229,"214":230,"215":231,"216":232,"217":233,"218":234,"219":235,"220":236,"221":237,"222":238,"223":241,"224":242,"225":243,"226":244,"227":245,"228":247,"229":248,"230":249,"231":250,"232":251,"233":252,"234":253,"235":254,"236":255,"237":256,"238":257,"239":258,"240":259,"242":261,"244":263,"245":264,"247":267,"248":268,"250":270,"251":271,"252":272,"253":273,"254":274,"256":276,"257":277,"258":278,"259":279,"260":280,"261":281,"263":283,"264":284,"265":285,"266":286,"267":287,"269":290,"270":291,"271":292,"272":293,"273":294,"274":295,"275":296,"276":297,"277":298,"278":299,"279":300,"280":301,"281":303,"282":304,"283":305,"284":306,"285":307,"286":308,"287":309,"288":310,"289":311,"290":313,"291":314,"292":315,"293":317,"295":319,"298":322,"299":323,"300":324,"301":325,"302":326,"303":327,"304":328,"305":329,"306":330,"307":331,"308":332,"309":333,"310":334,"311":335,"312":336,"313":337,"314":338,"315":339,"316":340,"318":342,"319":343,"320":344,"321":345,"322":346,"323":347,"325":349,"326":350,"327":351,"328":352,"329":353,"330":354,"331":355,"332":356,"333":357,"334":359,"336":361,"337":362,"338":363,"339":364,"340":365,"341":366,"342":367,"343":368,"344":369,"345":370,"346":371,"347":372,"348":374,"349":375,"350":376,"351":378,"352":379,"353":380,"354":381,"355":382,"356":383,"357":384,"359":386,"360":387,"361":388,"362":389,"363":390,"364":391,"365":392,"366":393,"367":394,"368":395,"369":396,"370":397,"371":398,"372":399,"373":400,"374":401,"375":402,"376":403,"377":404,"378":405,"379":406,"380":407,"381":408,"382":409,"383":411,"384":412,"385":413,"386":414,"387":415,"388":416,"389":417,"390":418,"391":419,"392":420,"393":422,"394":424,"395":425,"396":426,"397":427,"398":428,"399":429,"400":430,"402":432,"403":433,"404":435,"405":436,"406":437,"407":438,"409":440,"410":441,"411":442,"412":443,"413":444,"414":445,"415":446,"416":447,"417":448,"418":449,"419":450,"421":452,"422":453,"423":454,"424":455,"425":456,"426":457,"427":458,"428":459,"429":460,"431":462,"432":464,"433":465,"434":466,"435":467,"436":468,"437":469,"438":470,"439":472,"440":473,"442":475,"443":476,"444":477,"445":478,"446":479,"447":480,"448":481,"449":482,"450":483,"451":484,"452":485,"453":487,"454":488,"455":489,"456":490,"457":491,"458":492,"459":493,"460":494,"461":495,"462":496,"463":498,"464":500,"465":501,"466":502,"467":503,"468":504,"469":505,"470":506,"471":507,"472":508,"474":511,"475":512,"476":516,"477":517,"478":518,"479":519,"480":521,"481":522,"482":523,"483":524,"484":526,"485":529,"486":531,"487":532,"488":533,"489":537,"490":538,"491":541,"492":542,"493":545,"494":546,"495":547,"496":551,"497":553,"498":557,"499":558,"500":560,"501":561,"502":562,"503":563,"504":568,"505":580,"506":581,"507":582,"508":584,"509":587,"510":588,"511":591,"512":597,"513":599,"514":601,"515":602,"516":603,"517":604,"518":607,"519":609,"520":611,"521":615,"522":616,"523":622,"524":627,"525":629,"526":631,"527":632,"528":633,"529":635,"530":639,"531":641,"532":642,"534":644,"535":646,"536":648,"537":652,"538":656,"539":664,"540":667,"541":670,"542":674,"543":675,"544":677,"545":678,"546":679,"547":682,"548":689,"549":691,"550":693,"551":694,"552":695,"553":699,"554":704,"555":716,"556":717,"557":718,"558":722,"559":726,"560":727,"561":728,"562":729,"563":737,"564":739,"565":745,"566":746,"567":747,"568":748,"569":753,"570":754,"571":755,"572":758,"573":766,"574":768,"575":769,"576":770,"577":772,"578":776,"579":777,"580":778,"581":783,"582":784,"583":785,"584":789,"585":790,"586":792,"587":802,"588":803,"589":810,"590":813,"591":814,"592":816,"593":822,"594":825,"595":826,"596":827,"597":829,"598":834,"599":837,"600":842,"601":844,"602":845,"603":848,"604":849,"605":850,"606":851,"607":853,"608":854,"610":859,"611":861,"612":865,"613":868,"614":869,"615":871,"616":872,"617":874,"618":877,"619":880,"620":883,"621":885,"622":888,"623":890,"624":895,"625":897,"626":899,"627":900,"628":901,"629":903,"630":905,"631":907,"632":909,"633":912,"634":915,"635":916,"636":917,"637":923,"638":929,"639":935,"640":936,"641":937,"642":938,"643":939,"644":941,"645":945,"646":946,"647":949,"648":950,"649":952,"650":954,"651":957,"652":962,"653":967,"654":969,"655":972,"656":978,"657":980,"658":981,"659":983,"660":985,"661":987,"662":988,"663":989,"664":990,"665":993,"666":996,"667":1001,"668":1003,"669":1007,"670":1009,"671":1011,"672":1013,"673":1015,"674":1016,"675":1019,"676":1020,"677":1022},{"0":1,"1":18,"2":29,"3":30,"4":36,"5":67,"6":77,"7":91,"8":106,"9":113,"10":135,"11":170,"12":174,"13":178,"14":214,"15":224,"16":239,"17":240,"18":266,"19":288,"20":302,"21":312,"22":316,"23":358,"24":373,"25":377,"26":410,"27":421,"28":423,"29":434,"30":463,"31":471,"32":486,"33":497,"34":499,"35":510,"36":514,"37":528,"38":536,"39":543,"40":544,"41":550,"42":555,"43":559,"44":565,"45":567,"46":569,"47":570,"48":572,"49":573,"50":576,"51":577,"52":578,"53":589,"54":593,"55":594,"56":595,"57":608,"58":610,"59":614,"60":617,"61":624,"62":625,"63":626,"64":630,"65":636,"66":637,"67":647,"68":649,"69":651,"70":653,"71":654,"72":658,"73":659,"74":661,"75":663,"76":668,"77":681,"78":683,"79":686,"80":690,"81":697,"82":701,"83":702,"84":703,"85":705,"86":706,"87":711,"88":712,"89":740,"90":741,"91":751,"92":757,"93":763,"95":780,"96":781,"98":786,"99":794,"100":795,"101":796,"102":800,"103":801,"104":804,"105":806,"106":808,"107":809,"108":812,"109":815,"110":823,"111":824,"112":830,"113":831,"114":835,"115":836,"116":839,"117":843,"119":856,"120":860,"121":863,"122":864,"123":867,"124":870,"125":876,"126":878,"127":882,"128":884,"129":887,"130":891,"131":892,"132":904,"133":906,"134":913,"135":914,"136":918,"137":921,"138":926,"139":942,"140":944,"141":948,"142":959,"143":960,"144":966,"145":970,"146":975,"147":976,"148":977,"149":979,"150":984,"151":986,"152":992,"153":995,"154":999,"155":1000,"156":1002,"157":1006,"158":1010,"159":1012,"160":1018,"161":1021},[246,520,535,548,554,566,574,575,579,592,596,600,612,613,620,638,640,657,660,692,708,709,723,736,738,749,759,761,762,779,797,819,820,828,840,847,862,879,893,898,927,928,931,933,934,947,951,956,964,973,974,998,1017,1023],[527,539,571,583,586,598,634,662,665,676,700,707,714,730,733,743,744,775,787,807,821,832,838,894,902,908,922,925,932,953,958],{"0":513,"1":552,"2":590,"3":623,"5":680,"6":696,"7":719,"8":721,"9":731,"10":732,"11":756,"12":764,"13":773,"14":841,"15":889,"16":896,"17":910,"18":911,"19":971,"20":982,"21":1004},{"0":525,"1":530,"2":585,"3":621,"4":672,"5":698,"7":734,"8":760,"9":771,"10":791,"11":798,"12":833,"13":875,"14":919,"15":920,"16":924,"17":940},{"0":540,"1":564,"2":666,"3":671,"4":684,"6":742,"7":752,"8":788,"9":793,"10":811,"11":866,"12":873,"13":881,"14":963,"15":997,"16":1005},{"0":605,"1":619,"2":645,"3":685,"4":687,"5":735,"6":750,"7":767,"8":817,"9":886,"11":961,"12":965,"13":968,"14":994,"15":1014},{"0":606,"1":618,"2":669,"5":765,"7":857,"8":930,"9":955},{"0":534,"1":655,"3":799,"4":805,"5":818},{"1":556,"2":628,"3":673,"4":688,"5":724},[]]