[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":7,"8":9,"9":10,"10":12,"11":13,"13":15,"14":16,"15":18,"16":19,"17":21,"18":22,"20":24,"21":25,"22":26,"23":28,"24":30,"25":31,"26":33,"27":34,"28":35,"29":37,"30":38,"31":39,"32":40,"33":41,"34":42,"35":43,"36":45,"37":47,"38":48,"39":49,"40":50,"41":51,"42":52,"44":55,"45":56,"46":57,"47":58,"48":59,"49":60,"50":61,"51":62,"52":63,"53":64,"54":65,"55":66,"56":67,"57":68,"58":69,"59":70,"60":72,"61":73,"62":75,"64":77,"65":78,"66":79,"67":80,"68":81,"69":82,"70":84,"71":85,"72":86,"73":87,"74":88,"75":89,"76":91,"77":92,"78":93,"79":94,"80":95,"81":96,"82":97,"83":98,"84":99,"85":100,"86":101,"87":102,"88":103,"89":104,"90":106,"91":107,"92":108,"93":109,"94":110,"95":111,"96":112,"97":113,"98":114,"99":115,"100":116,"101":117,"102":118,"103":119,"104":120,"105":121,"106":122,"107":123,"108":125,"109":127,"110":128,"111":129,"112":130,"113":131,"114":133,"115":134,"116":135,"117":136,"118":137,"119":138,"120":139,"121":140,"122":141,"124":143,"125":144,"126":145,"127":146,"128":147,"129":148,"130":149,"131":150,"132":151,"133":152,"134":153,"135":154,"136":155,"137":156,"138":157,"139":158,"140":159,"141":160,"142":161,"143":162,"144":163,"145":164,"146":165,"147":166,"148":167,"149":169,"150":170,"151":171,"152":172,"153":173,"154":174,"155":175,"156":176,"158":178,"159":179,"160":180,"161":181,"162":182,"163":183,"164":184,"165":185,"166":186,"167":187,"168":188,"170":191,"171":192,"172":194,"173":196,"174":198,"175":199,"176":200,"177":201,"178":202,"180":204,"181":205,"182":206,"183":207,"184":208,"185":209,"186":210,"187":211,"188":213,"189":215,"190":216,"191":217,"192":218,"193":219,"194":220,"195":224,"196":225,"197":227,"198":228,"199":229,"200":230,"201":231,"202":232,"203":233,"204":234,"205":235,"206":236,"207":237,"208":239,"209":240,"210":241,"211":242,"212":243,"213":245,"214":246,"215":248,"216":249,"217":251,"218":252,"219":253,"220":254,"221":255,"222":256,"223":257,"224":258,"225":259,"226":260,"227":261,"229":263,"230":264,"231":265,"232":266,"233":267,"234":268,"235":269,"236":270,"237":271,"238":272,"239":273,"240":274,"241":275,"242":277,"243":278,"244":279,"245":280,"246":281,"247":282,"248":283,"249":284,"250":286,"252":288,"253":290,"254":291,"255":292,"256":294,"257":295,"258":296,"259":297,"260":298,"261":299,"262":300,"263":301,"264":302,"265":303,"266":304,"267":305,"268":306,"269":307,"270":308,"271":309,"272":311,"273":312,"275":314,"276":315,"277":316,"278":317,"279":318,"280":319,"282":321,"283":322,"284":324,"285":325,"286":327,"287":328,"288":329,"289":331,"290":332,"291":333,"292":334,"293":335,"294":336,"295":337,"296":338,"297":339,"298":340,"299":341,"300":342,"301":343,"302":344,"303":345,"304":346,"305":347,"306":348,"307":349,"309":352,"310":353,"311":354,"312":355,"313":356,"314":357,"315":358,"316":359,"317":360,"318":361,"319":362,"320":363,"321":364,"322":366,"323":367,"324":368,"325":369,"326":370,"327":371,"328":372,"329":373,"330":374,"331":375,"332":376,"333":377,"334":378,"335":379,"336":380,"337":381,"338":382,"340":384,"342":386,"343":387,"344":388,"345":389,"346":390,"347":391,"348":392,"349":393,"350":394,"351":395,"354":398,"356":400,"357":401,"358":402,"359":403,"360":404,"361":405,"362":406,"363":407,"364":408,"365":409,"366":410,"367":411,"368":412,"369":413,"370":414,"371":415,"372":416,"373":417,"374":418,"375":420,"376":421,"377":422,"378":423,"379":424,"380":425,"381":426,"383":428,"384":429,"385":430,"386":431,"387":432,"388":433,"389":434,"390":435,"391":436,"392":437,"393":438,"394":439,"395":440,"396":441,"397":443,"399":445,"400":446,"401":447,"402":448,"403":449,"404":450,"405":451,"406":452,"407":454,"408":455,"410":457,"411":458,"412":459,"413":460,"414":461,"415":462,"416":463,"417":464,"418":465,"419":466,"420":467,"421":468,"422":469,"423":470,"424":471,"425":472,"426":473,"427":474,"428":475,"429":477,"430":478,"431":480,"432":481,"433":482,"434":483,"435":484,"436":486,"437":487,"438":488,"439":489,"440":491,"441":492,"442":493,"443":494,"444":495,"445":496,"446":497,"447":498,"448":499,"449":500,"450":501,"451":502,"452":503,"453":504,"454":505,"455":506,"456":507,"457":508,"458":509,"459":510,"460":516,"461":517,"462":524,"463":528,"464":535,"465":536,"466":541,"467":551,"468":554,"469":556,"470":561,"471":563,"472":566,"473":571,"474":576,"475":578,"476":580,"477":583,"478":585,"479":589,"480":591,"481":603,"482":609,"483":618,"484":621,"485":627,"486":629,"487":632,"488":636,"489":637,"490":639,"491":648,"492":652,"493":658,"494":663,"495":665,"496":668,"497":669,"498":670,"499":671,"500":683,"501":688,"502":702,"503":703,"504":707,"505":712,"506":715,"507":716,"508":718,"509":720,"510":727,"511":729,"512":730,"513":735,"514":741,"515":742,"516":748,"517":751,"518":753,"519":758,"520":762,"521":763,"522":769,"523":774,"524":778,"525":782,"526":799,"527":800,"528":803,"529":808,"530":809,"531":825,"532":827,"533":830,"534":835,"535":837,"536":838,"537":847,"538":848,"539":858,"540":863,"541":864,"542":867,"543":874,"544":885,"545":886,"546":892,"547":893,"548":894,"549":897,"550":898,"551":917,"552":918,"553":933,"554":949,"555":952,"556":953,"557":954,"558":959,"559":960,"560":965,"561":971,"562":974,"563":982,"564":991,"565":998,"566":999,"567":1006,"568":1008},[8,17,20,27,29,32,36,44,46,54,71,74,83,90,105,124,126,132,168,190,193,195,197,214,221,222,223,226,238,244,247,250,285,289,310,323,326,330,351,419,442,453,479,485,490,511,522,523,525,526,527,529,530,532,537,542,543,545,552,555,559,568,572,573,575,581,584,586,588,598,605,608,610,611,613,614,617,622,625,626,628,633,642,645,646,647,659,660,664,672,673,699,719,721,724,725,732,736,739,740,747,750,754,759,761,766,768,772,773,775,779,781,783,784,787,788,789,793,794,798,801,807,810,812,813,817,818,823,828,834,840,841,843,853,854,861,871,872,873,875,879,881,882,884,899,902,906,909,911,912,913,914,916,925,926,929,932,938,941,943,944,946,948,961,962,973,975,976,986,988,989,993,996,1000,1007,1021],{"0":11,"1":212,"2":276,"3":293,"4":365,"5":476,"7":531,"8":534,"9":539,"10":547,"11":558,"12":567,"13":579,"14":582,"15":594,"16":600,"17":601,"18":615,"19":616,"20":619,"21":624,"22":649,"23":656,"24":662,"25":666,"26":667,"27":674,"28":675,"29":676,"30":678,"31":686,"32":689,"33":690,"34":692,"35":693,"36":701,"37":704,"38":706,"39":710,"40":711,"41":713,"42":731,"43":749,"44":756,"45":765,"46":771,"47":776,"48":791,"49":796,"50":797,"51":816,"52":820,"53":824,"54":831,"55":832,"56":839,"57":842,"58":845,"59":852,"60":859,"61":862,"62":865,"63":868,"64":878,"65":888,"66":889,"67":901,"68":904,"69":907,"70":908,"71":910,"72":920,"73":923,"74":935,"75":939,"76":942,"77":966,"78":968,"79":970,"80":977,"81":979,"82":980,"83":985,"84":994,"85":995,"86":997,"87":1009,"88":1011,"89":1016,"90":1017},[514,519,521,540,546,549,560,564,565,569,592,596,597,599,604,607,620,630,638,644,651,654,684,694,695,696,697,700,723,726,733,734,737,744,745,746,757,767,770,780,790,792,795,804,805,819,829,857,860,869,880,883,895,896,900,930,931,940,945,955,963,964,969,972,978,990,992,1001,1010,1012,1014,1015,1018,1023],{"0":512,"2":557,"3":612,"4":634,"5":640,"6":650,"7":655,"8":661,"9":681,"10":682,"11":709,"12":717,"13":743,"14":764,"15":777,"16":814,"17":833,"18":836,"19":844,"20":855,"21":876,"22":877,"23":890,"24":915,"25":919,"26":927,"27":951,"28":957,"29":981,"30":1002,"31":1003,"32":1004,"33":1005},[533,548,562,574,590,623,641,677,691,698,705,708,722,728,760,821,826,851,887,905,921,924,934,947,950,983,1022],{"0":520,"1":538,"2":544,"3":553,"4":570,"6":595,"7":635,"8":680,"9":714,"10":752,"11":755,"12":806,"13":846,"14":849,"15":850,"16":856,"17":866,"18":891,"19":936,"20":1019},[515,577,587,631,653,685,785,786,811,822,903,922,928,937,958,984,987,1013],[602,606,657,679,687,738,815,870,956,1020],[802,967],[550,643]]