[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":7,"8":8,"9":10,"11":13,"12":14,"13":15,"14":16,"15":18,"16":19,"17":20,"18":21,"19":22,"20":23,"22":26,"23":27,"24":28,"25":29,"26":30,"27":31,"28":32,"29":33,"30":34,"31":39,"32":40,"33":41,"34":42,"35":43,"36":44,"37":45,"38":46,"39":47,"40":48,"41":49,"42":51,"43":52,"44":53,"45":54,"46":55,"47":56,"48":58,"49":59,"50":60,"51":61,"52":63,"53":64,"54":65,"55":66,"56":68,"57":70,"58":71,"59":72,"60":73,"62":78,"63":79,"64":81,"65":82,"66":84,"67":85,"68":86,"69":87,"70":89,"71":90,"72":91,"73":92,"74":93,"75":94,"76":95,"77":96,"78":97,"79":98,"80":100,"81":101,"82":102,"83":103,"84":104,"85":106,"86":107,"87":108,"88":109,"89":110,"90":111,"91":112,"92":114,"93":115,"94":116,"95":117,"96":119,"97":120,"98":121,"99":122,"100":124,"101":125,"102":126,"103":127,"104":128,"105":129,"106":130,"107":131,"109":133,"110":134,"112":136,"113":137,"114":138,"115":139,"116":140,"117":141,"118":144,"119":145,"120":146,"121":148,"122":149,"123":151,"124":152,"126":155,"127":156,"128":158,"129":159,"130":160,"131":161,"132":162,"133":163,"134":164,"135":165,"136":166,"137":167,"138":168,"139":170,"140":171,"141":172,"142":175,"143":176,"145":178,"146":179,"147":180,"148":181,"149":182,"150":185,"151":186,"152":187,"153":188,"154":189,"155":190,"156":191,"157":192,"158":193,"159":194,"160":195,"161":196,"162":197,"163":198,"164":199,"165":200,"166":201,"167":202,"168":203,"169":205,"170":206,"171":207,"172":208,"173":209,"174":210,"175":211,"176":212,"177":213,"178":214,"179":215,"180":216,"181":217,"182":219,"183":220,"184":221,"185":222,"186":223,"187":224,"188":225,"189":226,"190":227,"191":228,"192":229,"193":230,"194":233,"195":234,"196":235,"197":237,"198":238,"199":239,"200":240,"201":241,"202":243,"203":245,"204":246,"205":247,"206":248,"207":249,"208":250,"209":251,"210":252,"211":253,"212":255,"213":256,"214":257,"215":259,"216":260,"217":262,"218":263,"219":264,"220":265,"221":266,"223":268,"224":270,"225":271,"226":272,"228":274,"229":275,"230":276,"231":277,"232":278,"233":279,"234":280,"235":281,"237":283,"238":284,"239":285,"240":286,"241":287,"242":289,"243":290,"244":291,"245":292,"246":293,"247":294,"248":295,"249":296,"250":297,"251":298,"252":299,"253":300,"254":301,"255":302,"257":305,"258":306,"259":307,"260":308,"261":309,"262":310,"263":311,"264":312,"265":313,"266":315,"267":316,"268":317,"269":318,"270":319,"272":321,"273":322,"274":323,"275":324,"276":325,"277":326,"278":327,"279":328,"280":329,"281":330,"282":331,"283":332,"284":333,"285":334,"286":335,"287":336,"288":337,"289":341,"290":342,"291":343,"292":344,"293":345,"294":347,"295":348,"296":349,"297":350,"298":351,"299":352,"300":353,"301":355,"302":356,"303":357,"304":358,"305":359,"306":360,"307":361,"308":362,"309":363,"310":364,"311":365,"312":366,"313":367,"314":368,"315":369,"316":370,"317":371,"318":372,"319":373,"320":374,"321":375,"322":376,"323":377,"324":379,"325":380,"327":382,"328":383,"329":384,"331":386,"332":387,"333":388,"334":389,"335":390,"336":392,"337":393,"338":394,"339":395,"340":396,"341":397,"342":398,"343":399,"344":400,"345":402,"346":403,"347":404,"348":405,"349":406,"350":407,"351":408,"353":410,"354":411,"355":413,"356":414,"357":415,"358":417,"359":418,"360":419,"361":420,"362":421,"363":422,"364":423,"365":424,"366":426,"367":427,"368":428,"369":429,"370":430,"371":431,"374":434,"375":435,"376":436,"377":437,"378":438,"379":439,"380":440,"381":441,"382":442,"383":443,"384":444,"385":445,"386":446,"387":447,"388":449,"389":450,"390":451,"391":452,"392":453,"393":454,"394":455,"395":456,"396":458,"397":459,"398":460,"399":461,"400":462,"401":463,"402":464,"403":465,"404":466,"405":467,"406":468,"407":470,"408":471,"409":472,"410":473,"411":474,"412":475,"413":476,"414":477,"415":478,"416":479,"417":481,"418":483,"419":484,"420":485,"421":486,"422":487,"423":488,"424":489,"425":490,"426":491,"427":492,"428":493,"429":494,"430":496,"431":502,"432":503,"433":504,"434":505,"435":506,"436":507,"437":508,"438":509,"439":510,"440":515,"441":518,"442":521,"443":525,"444":536,"445":537,"446":540,"447":544,"448":552,"449":553,"450":555,"451":558,"452":560,"453":561,"454":563,"455":564,"456":566,"457":568,"458":573,"459":576,"460":579,"461":582,"462":583,"463":589,"464":593,"465":596,"466":600,"467":601,"468":602,"469":604,"470":606,"471":607,"472":608,"473":610,"474":615,"475":616,"476":621,"477":624,"478":625,"479":626,"480":628,"481":629,"482":630,"483":637,"484":638,"485":641,"486":643,"487":644,"488":645,"489":648,"490":659,"491":667,"492":672,"493":677,"494":678,"495":688,"496":689,"497":690,"498":694,"499":703,"500":707,"501":709,"502":710,"503":712,"504":716,"505":720,"506":735,"507":738,"508":739,"509":740,"510":741,"511":742,"512":746,"513":748,"514":752,"515":756,"516":758,"517":766,"518":768,"519":773,"520":776,"521":780,"522":786,"523":787,"524":791,"525":796,"526":806,"527":812,"528":815,"529":816,"530":817,"531":818,"532":820,"533":821,"534":822,"535":824,"536":825,"537":829,"538":831,"539":832,"540":834,"541":836,"542":837,"543":840,"544":845,"545":846,"546":850,"547":856,"548":857,"549":858,"550":859,"551":860,"552":862,"553":865,"554":867,"555":871,"556":874,"557":875,"558":877,"559":879,"560":880,"561":883,"562":887,"563":892,"564":896,"565":897,"566":903,"567":906,"568":912,"569":916,"570":917,"571":919,"572":922,"573":924,"574":925,"575":927,"576":928,"577":930,"578":933,"579":938,"580":940,"581":943,"582":945,"583":950,"584":954,"585":956,"586":960,"587":965,"588":966,"589":972,"590":975,"591":977,"592":978,"593":980,"594":984,"595":985,"596":986,"597":988,"598":991,"599":994,"600":995,"601":998,"602":999,"603":1001,"604":1002,"605":1008,"606":1009,"607":1010,"608":1011,"609":1014,"610":1018,"611":1021,"612":1023},[9,12,17,37,38,50,57,62,67,69,75,76,88,105,113,118,123,143,150,153,173,174,183,184,204,218,231,232,236,242,244,254,258,261,269,288,304,314,338,339,346,354,378,391,401,412,416,425,448,457,469,480,482,495,498,499,500,501,511,512,514,516,517,519,520,522,524,526,527,528,530,535,541,542,543,546,547,549,562,567,571,575,577,578,580,581,584,586,588,591,594,598,609,612,617,618,623,631,633,634,635,636,639,646,647,649,650,651,655,656,660,661,662,663,666,668,669,673,676,679,680,683,686,692,697,699,701,702,704,711,713,714,717,722,723,724,725,726,727,729,730,731,734,737,747,754,755,757,760,764,771,772,775,777,778,781,785,788,794,798,802,804,805,809,811,823,828,830,835,839,841,842,843,847,849,864,869,873,876,882,884,885,886,888,893,894,895,899,905,908,909,910,921,929,935,939,946,947,948,951,958,961,964,967,968,974,993,996,997,1003,1007,1013,1015,1016],[25,35,36,77,80,83,99,142,147,157,169,340,497,529,531,532,533,534,545,550,599,603,611,619,640,657,682,700,715,718,728,744,751,753,765,782,783,797,801,803,808,810,819,833,844,854,855,870,878,902,904,911,923,931,932,952,957,963,970,971,990,992,1000,1004,1020],{"0":523,"1":548,"2":572,"4":590,"6":613,"7":642,"8":653,"9":654,"10":665,"11":670,"12":681,"13":685,"14":691,"15":706,"16":759,"17":784,"18":807,"19":814,"20":848,"21":852,"22":853,"23":863,"24":901,"25":913,"26":914,"27":915,"28":926,"29":949,"30":955,"31":959,"33":976,"34":989,"35":1017},{"0":513,"1":557,"2":569,"3":574,"4":627,"5":652,"6":664,"7":671,"8":693,"10":733,"11":743,"12":750,"13":762,"14":767,"15":774,"16":779,"17":792,"18":838,"19":851,"20":866,"21":868,"22":889,"23":890,"24":891,"25":898,"26":979,"27":983,"28":987},{"1":556,"2":570,"3":622,"4":632,"5":658,"6":674,"7":695,"8":696,"9":732,"11":761,"12":795,"13":799,"14":800,"15":872,"16":881,"17":936,"18":942,"19":944,"20":953,"21":962,"22":981,"23":1006},[551,554,565,614,675,719,745,749,763,769,770,789,790,813,826,827,861,907,1005,1019],[592,620,687,708,793,900,918,920,941,982],[539,587,595,605,937,969,1012,1022],[559,684,705,934],[]]