[{"0":0,"1":1,"2":2,"3":4,"4":5,"5":6,"7":9,"9":12,"10":14,"11":15,"12":16,"13":18,"14":19,"15":20,"16":21,"17":22,"18":23,"19":24,"20":25,"21":26,"22":27,"23":28,"24":29,"25":30,"26":31,"27":32,"28":33,"29":34,"30":35,"31":36,"32":38,"33":40,"34":41,"35":42,"36":43,"37":44,"38":45,"41":49,"42":50,"43":51,"44":52,"45":53,"46":54,"47":55,"48":56,"49":57,"50":58,"51":59,"52":60,"53":61,"54":62,"55":64,"56":65,"57":66,"59":68,"60":69,"61":71,"62":72,"63":73,"64":74,"65":75,"67":79,"68":80,"69":81,"70":82,"71":83,"72":84,"73":86,"74":87,"75":88,"76":89,"77":90,"78":92,"79":93,"80":94,"81":95,"82":97,"83":98,"84":99,"85":100,"86":101,"87":102,"88":105,"89":106,"90":108,"91":109,"92":110,"93":111,"94":112,"95":113,"96":114,"97":115,"98":116,"100":118,"101":119,"102":120,"103":121,"104":122,"105":123,"106":124,"107":125,"108":126,"109":127,"110":128,"111":129,"112":131,"113":132,"114":133,"115":134,"116":135,"117":137,"118":138,"119":139,"120":140,"121":141,"123":143,"124":144,"125":145,"126":146,"127":147,"128":148,"129":149,"130":151,"131":152,"132":153,"133":155,"135":157,"136":158,"137":159,"138":160,"139":161,"140":162,"141":164,"142":165,"143":166,"144":168,"145":169,"146":170,"147":171,"148":172,"149":173,"150":174,"151":175,"152":176,"153":177,"154":178,"155":179,"156":180,"157":181,"158":182,"159":183,"160":184,"161":185,"162":186,"163":187,"164":188,"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":202,"178":203,"179":204,"180":205,"181":207,"182":209,"183":210,"184":211,"185":213,"186":214,"187":215,"188":216,"189":217,"190":218,"191":219,"192":221,"193":222,"194":223,"195":224,"196":225,"197":226,"198":227,"199":228,"200":230,"201":231,"202":232,"203":233,"204":234,"205":235,"206":237,"207":239,"208":241,"209":242,"210":243,"211":244,"212":245,"213":246,"214":247,"215":248,"216":249,"217":250,"218":251,"219":252,"220":253,"221":254,"222":255,"223":256,"224":257,"225":258,"226":260,"227":261,"228":262,"229":263,"230":264,"234":268,"235":269,"236":271,"237":272,"238":273,"239":274,"240":275,"241":276,"242":277,"243":278,"244":279,"245":280,"246":281,"247":282,"248":284,"249":285,"251":289,"252":290,"253":291,"254":292,"255":294,"256":296,"257":297,"258":298,"259":299,"260":301,"261":303,"262":304,"263":305,"264":306,"265":307,"266":308,"267":309,"268":310,"269":311,"271":313,"272":314,"273":315,"274":316,"275":317,"276":319,"277":320,"278":321,"279":322,"280":323,"281":324,"282":325,"283":326,"284":327,"285":328,"286":329,"287":330,"288":332,"289":333,"290":334,"291":335,"292":337,"293":339,"294":340,"295":341,"296":343,"297":344,"298":345,"299":346,"300":347,"301":348,"302":349,"303":350,"304":352,"305":353,"306":354,"307":355,"308":356,"309":359,"310":360,"311":361,"312":362,"313":363,"314":364,"315":365,"316":366,"317":367,"318":368,"319":369,"320":370,"321":371,"322":372,"323":373,"324":374,"325":375,"326":376,"327":377,"328":378,"329":379,"330":380,"331":381,"332":382,"333":383,"334":384,"335":385,"336":386,"338":388,"339":389,"340":390,"341":391,"342":392,"343":393,"344":394,"345":395,"346":396,"347":397,"348":398,"349":399,"350":400,"351":401,"352":402,"353":403,"354":404,"355":405,"356":406,"357":407,"358":408,"359":409,"360":410,"361":411,"362":412,"363":413,"364":415,"365":416,"366":417,"367":418,"368":420,"369":421,"370":422,"371":423,"372":424,"373":425,"374":426,"375":429,"376":430,"377":432,"378":433,"379":434,"380":435,"382":438,"383":439,"384":440,"385":441,"386":442,"387":444,"388":445,"390":447,"391":448,"392":449,"393":450,"394":451,"395":453,"396":454,"397":456,"398":457,"399":458,"400":459,"401":460,"402":461,"403":463,"404":465,"405":466,"406":467,"407":468,"408":470,"409":471,"410":472,"411":473,"412":475,"413":476,"414":477,"415":478,"416":479,"417":480,"418":481,"419":482,"420":483,"421":484,"422":485,"423":486,"424":487,"425":488,"426":489,"427":490,"428":491,"429":493,"430":495,"431":496,"432":497,"433":498,"434":499,"435":500,"436":501,"437":502,"438":503,"439":505,"440":506,"441":507,"442":509,"443":510,"444":519,"445":521,"446":525,"447":535,"448":540,"449":543,"450":544,"451":553,"452":557,"453":560,"454":574,"455":578,"456":581,"457":584,"458":585,"459":586,"460":587,"461":589,"462":594,"463":597,"464":609,"465":621,"466":623,"467":626,"468":627,"469":631,"470":640,"471":641,"472":643,"473":653,"474":654,"475":660,"476":665,"477":666,"478":673,"479":678,"480":683,"481":687,"483":695,"484":696,"485":707,"486":714,"487":715,"488":719,"489":723,"490":724,"491":725,"492":733,"493":743,"494":744,"495":759,"496":761,"497":765,"498":767,"499":776,"500":780,"501":784,"502":792,"503":798,"504":803,"505":804,"506":805,"507":807,"508":819,"509":821,"510":824,"511":834,"512":839,"513":840,"514":842,"515":853,"516":856,"517":861,"518":863,"519":864,"520":867,"521":868,"522":870,"523":871,"524":878,"525":885,"526":886,"527":898,"528":903,"529":905,"530":906,"531":912,"532":913,"533":915,"534":917,"535":920,"536":922,"537":927,"538":929,"539":930,"540":937,"541":938,"542":939,"543":948,"544":952,"545":953,"546":963,"547":972,"548":975,"549":986,"550":987,"551":990,"552":991,"553":994,"554":995,"555":1001,"556":1005,"557":1006,"558":1007,"559":1010,"560":1018},{"0":3,"1":7,"2":11,"3":13,"4":17,"5":37,"6":39,"7":46,"8":63,"9":70,"10":77,"11":78,"12":85,"13":91,"14":96,"15":103,"16":104,"17":107,"18":130,"20":150,"21":154,"22":167,"23":201,"24":206,"25":208,"26":212,"27":220,"28":229,"29":236,"30":238,"31":240,"32":259,"33":270,"34":286,"35":288,"36":293,"37":295,"38":300,"39":302,"40":318,"41":331,"42":336,"43":338,"44":342,"45":351,"46":357,"47":358,"48":419,"49":427,"50":428,"51":431,"52":437,"53":443,"54":452,"55":455,"56":462,"57":464,"58":469,"59":474,"60":492,"61":494,"62":504,"63":511,"64":514,"65":515,"66":516,"67":523,"68":524,"69":526,"70":527,"71":528,"72":531,"73":536,"74":549,"75":550,"76":552,"77":555,"78":556,"79":558,"80":559,"81":561,"82":563,"83":571,"84":576,"85":577,"86":590,"88":593,"89":602,"90":604,"91":612,"92":613,"93":617,"94":622,"95":624,"96":629,"97":630,"98":637,"99":638,"100":647,"101":648,"102":655,"103":659,"104":667,"105":670,"106":671,"107":675,"108":679,"109":690,"110":692,"111":698,"112":703,"113":705,"114":706,"115":720,"116":722,"117":729,"118":730,"119":734,"120":735,"121":747,"122":749,"123":751,"124":752,"125":755,"126":756,"127":757,"128":762,"129":766,"130":771,"131":778,"132":781,"133":783,"134":785,"135":786,"136":793,"137":799,"138":808,"139":810,"140":811,"141":832,"142":835,"143":841,"144":851,"145":852,"146":857,"147":859,"148":860,"149":862,"150":869,"151":872,"152":873,"153":874,"154":881,"155":883,"156":888,"157":892,"158":893,"159":894,"160":895,"161":896,"162":900,"163":901,"164":908,"165":914,"166":928,"167":931,"168":934,"169":944,"170":946,"171":956,"172":960,"173":962,"174":965,"175":971,"176":982,"177":996,"178":1002,"179":1012,"180":1014,"181":1015,"182":1019},[163,283,414,508,522,541,547,554,562,567,568,569,573,575,588,600,606,611,628,644,652,657,658,664,676,686,693,694,700,701,713,721,731,732,741,745,754,763,773,775,787,789,790,791,797,823,826,838,846,847,849,890,902,904,907,925,942,945,970,976,978,980,985,989,993,998,1000,1003,1011,1022,1023],[512,513,534,542,545,564,579,582,583,598,619,625,635,646,663,668,669,684,685,688,689,708,711,718,738,746,753,764,774,777,779,794,802,812,813,817,822,825,828,844,854,866,876,880,882,884,887,891,909,910,932,935,936,943,947,949,954,955,961,964,968,981],[570,572,596,610,614,632,633,645,649,681,697,712,727,728,748,750,760,770,782,795,796,800,815,816,818,820,829,855,875,889,911,933,950,957,958,974,997,999,1008,1017],[530,532,533,546,551,565,566,603,607,608,620,636,650,651,656,682,699,704,709,758,769,801,806,814,831,833,836,837,848,858,916,919,959,966,979,988,1013],[538,595,599,601,605,616,618,634,661,674,677,680,717,739,742,827,843,845,865,877,879,918,924,940,969,984,992,1009,1016],[517,520,537,539,615,642,716,726,736,737,768,809,921,923,926,941,973,1020,1021],[518,529,548,592,639,662,672,710,788,830,967,1004],[580,702,740,951,983],[772,850,899,977],[897]]