[{"0":0,"1":1,"2":3,"3":4,"4":5,"5":6,"6":7,"7":8,"8":9,"9":11,"10":12,"11":14,"12":15,"13":16,"14":18,"15":19,"16":21,"17":23,"18":24,"19":26,"20":27,"21":28,"22":30,"23":31,"24":32,"25":33,"26":34,"27":35,"28":36,"29":37,"30":38,"31":39,"32":40,"33":41,"34":43,"35":44,"36":45,"37":46,"38":48,"39":49,"40":50,"41":51,"42":52,"43":56,"44":57,"45":58,"46":59,"47":61,"48":62,"49":63,"50":64,"51":65,"52":67,"53":68,"54":69,"55":70,"56":71,"57":72,"58":73,"59":74,"60":75,"61":76,"62":77,"63":78,"64":79,"65":80,"66":81,"67":82,"68":83,"69":84,"70":85,"71":86,"72":87,"73":88,"74":89,"75":90,"76":91,"77":92,"78":93,"79":94,"80":95,"81":96,"82":97,"83":98,"84":99,"85":100,"86":101,"87":103,"88":104,"89":105,"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":124,"108":126,"109":127,"110":128,"111":129,"112":130,"113":131,"114":132,"115":133,"116":134,"117":135,"118":136,"119":137,"120":138,"121":139,"122":140,"123":141,"124":142,"125":143,"126":144,"127":145,"128":146,"129":148,"130":149,"131":150,"132":151,"133":153,"134":154,"135":155,"136":157,"137":158,"138":159,"141":162,"142":164,"143":165,"144":166,"145":167,"146":168,"147":169,"148":170,"149":172,"150":173,"151":174,"152":175,"153":176,"154":177,"155":178,"156":179,"157":180,"158":181,"159":182,"160":183,"161":184,"162":185,"163":186,"164":187,"165":189,"166":190,"167":191,"168":192,"169":193,"170":194,"171":195,"172":196,"173":197,"174":198,"175":199,"176":200,"177":201,"178":202,"179":203,"180":204,"181":205,"182":206,"183":207,"184":208,"185":210,"186":211,"187":212,"188":213,"189":214,"190":215,"191":216,"192":217,"193":218,"194":219,"195":220,"196":221,"197":222,"198":223,"199":224,"200":225,"201":226,"202":227,"203":228,"204":229,"205":230,"206":231,"207":232,"208":233,"209":234,"210":235,"211":236,"212":237,"213":238,"214":239,"215":240,"216":241,"217":242,"218":243,"219":244,"220":245,"221":246,"222":247,"223":248,"224":249,"225":250,"226":251,"227":256,"228":257,"229":258,"230":259,"231":261,"232":262,"233":263,"234":264,"235":265,"236":266,"237":267,"238":268,"239":269,"240":270,"241":271,"242":272,"243":273,"244":274,"245":275,"246":276,"247":277,"248":278,"249":279,"250":280,"251":281,"252":282,"253":283,"254":284,"255":285,"256":286,"257":287,"258":289,"259":290,"260":291,"261":292,"262":293,"263":294,"264":295,"265":297,"267":299,"268":300,"269":301,"270":302,"271":303,"272":305,"273":306,"274":307,"275":308,"276":309,"277":310,"279":312,"280":313,"281":314,"282":315,"283":316,"284":317,"285":318,"286":319,"287":320,"288":321,"289":322,"290":323,"291":324,"292":325,"293":327,"294":328,"295":329,"296":330,"297":331,"298":332,"299":333,"300":334,"301":335,"302":337,"303":338,"304":339,"305":342,"306":343,"307":344,"308":345,"309":346,"310":347,"311":348,"312":349,"313":350,"314":351,"315":352,"316":353,"317":354,"318":355,"319":356,"320":357,"321":359,"322":360,"323":361,"324":362,"325":363,"326":364,"327":365,"328":366,"329":367,"331":369,"333":371,"334":372,"335":373,"336":374,"337":375,"338":376,"339":379,"340":380,"341":381,"342":382,"343":383,"344":384,"345":385,"346":386,"347":387,"348":388,"349":389,"350":390,"351":391,"352":392,"353":393,"354":394,"355":395,"356":396,"357":397,"358":398,"359":399,"360":400,"361":401,"362":402,"363":403,"364":404,"365":405,"366":406,"367":407,"369":410,"370":411,"371":412,"372":413,"373":414,"374":417,"375":418,"376":419,"377":420,"378":421,"379":422,"380":423,"381":424,"382":426,"383":427,"384":428,"385":429,"386":430,"387":431,"388":432,"389":433,"390":434,"391":436,"392":438,"393":439,"394":440,"395":441,"396":442,"397":443,"398":444,"399":445,"400":446,"401":447,"402":448,"403":449,"404":451,"405":452,"406":453,"407":454,"408":456,"409":457,"410":458,"411":459,"412":460,"413":461,"414":462,"415":463,"416":464,"417":465,"418":466,"419":467,"420":468,"421":469,"422":470,"423":471,"424":472,"425":473,"426":474,"427":475,"428":476,"429":477,"430":478,"431":479,"432":480,"433":481,"434":483,"435":484,"436":485,"437":486,"438":487,"439":488,"440":489,"441":490,"442":491,"443":492,"444":493,"445":494,"446":495,"447":497,"448":498,"449":499,"450":500,"451":501,"452":503,"453":507,"454":514,"455":527,"456":529,"457":530,"458":531,"459":538,"460":539,"461":541,"462":543,"463":549,"464":550,"465":563,"466":569,"467":579,"468":580,"469":585,"470":587,"471":596,"472":603,"473":611,"474":613,"475":614,"476":618,"477":623,"478":624,"479":626,"480":627,"481":628,"482":631,"483":635,"484":636,"485":638,"486":647,"487":654,"488":665,"489":671,"490":673,"491":674,"492":675,"493":678,"494":693,"495":700,"496":710,"497":713,"498":714,"499":726,"500":729,"501":730,"502":734,"503":735,"504":738,"505":741,"506":742,"507":743,"508":752,"509":760,"510":775,"511":781,"512":787,"513":788,"514":793,"515":797,"516":799,"517":800,"518":808,"519":811,"520":817,"521":818,"522":825,"523":827,"524":833,"525":834,"526":846,"527":857,"528":859,"529":861,"530":867,"531":875,"532":883,"533":889,"534":890,"535":891,"536":892,"537":894,"538":905,"539":909,"540":913,"541":916,"542":922,"543":934,"544":938,"545":940,"546":944,"547":945,"548":946,"549":953,"550":961,"551":974,"552":976,"553":978,"554":981,"555":984,"556":999,"557":1000,"558":1008,"559":1017,"560":1018,"561":1023},[2,10,13,17,20,22,25,29,47,53,54,55,60,66,102,123,125,147,152,163,171,188,209,253,255,260,288,296,304,326,336,340,341,358,377,378,408,415,416,425,435,437,450,455,482,496,502,504,505,506,508,510,511,513,518,522,534,540,545,546,555,558,560,566,568,572,576,581,582,588,591,593,599,605,620,621,625,642,643,648,649,659,660,666,667,668,670,677,679,681,682,685,686,688,694,695,696,698,701,704,706,708,724,733,736,737,744,745,750,753,755,758,762,763,768,771,773,774,777,779,782,783,786,790,791,792,796,802,807,812,820,821,823,826,829,843,844,855,865,873,876,881,885,886,887,893,899,902,906,915,918,919,920,923,926,928,933,935,936,947,950,954,956,957,959,964,966,968,969,971,973,977,979,980,983,985,986,988,992,994,1002,1006,1007,1011,1014,1022],[42,156,252,254,509,516,517,519,521,524,542,554,557,561,565,571,578,584,589,598,600,607,615,616,629,634,639,640,645,646,658,662,676,680,683,690,691,692,702,705,715,727,748,754,756,767,770,798,801,806,822,830,835,836,840,842,849,852,856,862,868,869,870,871,872,874,882,895,897,898,900,901,930,932,942,952,955,972,975,982,987,998,1015],{"0":520,"1":525,"2":528,"3":537,"4":544,"5":559,"6":562,"7":573,"8":575,"9":586,"10":590,"11":595,"12":608,"13":619,"14":633,"15":644,"16":653,"17":661,"18":663,"19":669,"20":672,"21":697,"22":712,"23":716,"25":731,"26":749,"27":751,"28":766,"29":785,"30":795,"31":813,"32":814,"33":815,"34":819,"35":824,"36":832,"37":838,"38":854,"39":858,"40":860,"41":864,"42":866,"43":880,"44":884,"45":908,"46":921,"47":929,"48":931,"49":941,"50":943,"51":960,"52":967,"53":1005,"54":1009},{"0":512,"1":535,"2":553,"3":564,"4":597,"5":609,"6":630,"7":637,"8":650,"9":651,"10":655,"11":699,"12":703,"13":711,"14":720,"15":725,"16":739,"17":746,"18":761,"19":769,"20":772,"21":778,"22":851,"23":853,"24":863,"25":896,"26":911,"27":914,"28":924,"30":963,"31":965,"32":991,"33":996,"34":1004,"35":1012,"36":1016},[526,547,551,592,604,606,632,707,709,721,723,747,757,759,764,765,794,809,816,828,837,845,847,848,850,879,888,949,989,990,995,1003,1013],[533,552,556,577,583,610,612,617,664,684,689,719,722,780,839,907,939,958,970,997,1001],[536,548,570,641,657,687,728,776,784,789,805,878,927,937,1019],[515,523,532,574,594,602,652,656,740,810,910,912,948,1010,1021],[601,622,717,831,841,951],{"0":732,"1":803,"4":903,"6":1020},[567,904],[993]]