[{"0":1,"1":2,"2":3,"3":4,"4":6,"6":8,"7":11,"8":12,"9":13,"10":14,"11":15,"12":16,"13":18,"14":19,"15":20,"16":21,"17":22,"18":23,"19":24,"20":25,"22":28,"23":29,"24":30,"25":31,"26":32,"27":33,"28":34,"29":35,"30":36,"31":39,"32":40,"33":41,"34":42,"35":43,"36":44,"37":45,"38":46,"39":47,"40":48,"41":49,"42":50,"43":51,"44":53,"45":55,"46":57,"47":58,"48":59,"49":60,"50":61,"51":62,"52":63,"53":64,"54":65,"55":67,"56":68,"57":69,"58":70,"59":71,"60":72,"61":73,"62":74,"63":75,"64":76,"65":77,"66":78,"67":79,"68":81,"69":82,"70":83,"71":84,"72":85,"73":86,"74":87,"75":88,"76":90,"77":91,"78":92,"79":93,"80":94,"81":95,"82":96,"83":97,"84":98,"85":99,"86":100,"87":103,"88":105,"89":106,"90":107,"91":108,"93":110,"94":111,"95":112,"96":113,"98":115,"99":116,"100":117,"101":118,"102":120,"103":121,"104":122,"105":123,"106":126,"107":128,"108":130,"111":133,"112":134,"113":135,"114":136,"115":137,"116":138,"117":139,"118":141,"119":142,"121":144,"122":145,"123":146,"124":147,"125":148,"126":149,"127":150,"128":151,"129":152,"130":154,"131":155,"132":156,"133":157,"134":158,"135":159,"136":160,"137":161,"138":162,"139":163,"140":164,"141":165,"142":166,"143":168,"144":169,"145":170,"146":171,"147":172,"148":173,"149":174,"150":175,"151":176,"152":177,"153":178,"154":179,"155":180,"156":182,"157":183,"158":184,"159":185,"160":187,"161":188,"162":189,"163":190,"164":191,"165":192,"166":193,"167":194,"168":196,"169":197,"170":198,"171":199,"172":200,"173":201,"174":202,"175":204,"176":205,"177":206,"178":207,"179":208,"180":210,"181":212,"182":213,"183":214,"184":215,"185":216,"186":217,"187":218,"188":219,"189":220,"190":221,"191":222,"192":256,"193":257,"194":258,"195":259,"196":260,"197":261,"198":262,"199":263,"200":264,"201":265,"202":266,"203":267,"204":268,"205":269,"206":271,"207":272,"209":274,"210":276,"211":278,"212":279,"213":280,"214":281,"215":282,"216":283,"217":284,"218":286,"219":287,"220":288,"221":289,"222":290,"223":291,"224":292,"225":294,"226":295,"227":296,"228":297,"229":298,"231":300,"232":301,"233":303,"234":304,"235":305,"236":307,"237":308,"238":310,"239":311,"240":313,"241":314,"242":317,"243":320,"244":322,"245":323,"246":324,"247":325,"248":326,"249":327,"250":329,"251":330,"252":331,"253":332,"254":333,"255":334,"256":335,"257":336,"258":338,"259":339,"260":340,"261":341,"262":342,"263":343,"264":344,"265":345,"266":346,"267":348,"268":349,"269":350,"270":351,"271":356,"272":357,"273":358,"274":359,"275":360,"276":362,"277":363,"278":365,"279":366,"280":367,"281":368,"282":369,"283":370,"284":371,"285":372,"286":373,"287":374,"288":375,"289":376,"290":378,"291":379,"292":380,"293":381,"294":382,"295":383,"296":384,"297":385,"298":386,"299":387,"300":388,"301":389,"302":390,"305":393,"306":394,"307":395,"308":397,"309":400,"310":401,"311":402,"312":403,"313":404,"314":405,"315":406,"316":407,"317":408,"318":409,"319":410,"320":411,"322":414,"323":415,"324":416,"325":417,"326":418,"327":419,"328":420,"329":421,"330":424,"331":425,"332":426,"333":427,"334":428,"335":429,"337":433,"338":434,"339":435,"340":437,"341":438,"342":440,"343":441,"344":442,"345":443,"346":444,"347":445,"348":446,"349":447,"350":448,"351":449,"352":450,"353":451,"354":452,"355":453,"356":454,"357":455,"358":456,"359":457,"360":458,"361":459,"362":460,"363":461,"364":462,"365":464,"366":465,"367":466,"368":468,"369":471,"370":473,"371":474,"372":475,"373":476,"374":477,"375":478,"376":479,"377":513,"378":527,"379":529,"380":531,"381":534,"382":550,"383":557,"384":558,"385":562,"386":567,"387":582,"388":586,"389":615,"390":630,"391":631,"392":637,"393":640,"394":644,"395":650,"396":674,"397":676,"398":677,"399":685,"400":686,"401":704,"402":707,"403":710,"404":727,"405":733,"406":734,"407":744,"408":745,"409":750,"410":754,"411":758,"412":764,"413":767,"414":769,"415":780,"416":782,"417":787,"418":789,"419":792,"420":801,"421":819,"422":821,"423":831,"424":841,"425":867,"426":870,"427":871,"428":872,"429":874,"431":896,"432":898,"433":925,"434":937,"435":940,"436":944,"437":948,"438":957,"439":964,"440":970,"441":988,"442":995,"443":997,"444":1003,"445":1013},{"0":0,"1":5,"2":9,"3":10,"4":17,"5":27,"6":38,"7":52,"8":54,"9":56,"10":66,"11":80,"12":89,"13":101,"14":102,"15":104,"16":119,"17":124,"18":127,"19":129,"20":140,"21":153,"22":167,"23":181,"24":186,"25":195,"26":203,"27":209,"28":211,"29":223,"30":224,"31":226,"32":227,"33":228,"34":229,"35":230,"36":232,"37":233,"38":234,"39":235,"40":236,"41":237,"42":238,"43":241,"44":242,"45":243,"46":244,"47":245,"48":246,"49":248,"50":250,"51":253,"52":254,"53":255,"54":270,"55":275,"56":277,"57":293,"58":302,"59":306,"60":309,"61":312,"62":315,"63":316,"64":318,"65":319,"66":321,"67":328,"68":337,"69":347,"70":352,"71":353,"72":354,"73":355,"74":361,"75":377,"76":396,"77":398,"78":399,"79":413,"80":422,"81":423,"82":430,"83":431,"84":436,"85":439,"86":463,"87":469,"88":470,"89":472,"90":481,"91":483,"92":487,"93":488,"94":489,"95":490,"96":491,"97":493,"98":494,"99":495,"100":496,"101":497,"102":498,"103":499,"105":502,"108":507,"109":508,"110":509,"111":511,"112":514,"113":516,"114":528,"115":533,"116":542,"117":552,"118":560,"119":566,"120":572,"121":573,"122":581,"123":585,"124":592,"125":595,"126":596,"127":597,"128":600,"129":604,"130":607,"131":617,"132":618,"133":622,"134":624,"135":625,"136":627,"137":628,"138":633,"139":634,"140":641,"141":646,"142":667,"143":670,"144":671,"145":678,"146":690,"147":692,"148":696,"149":706,"150":719,"151":720,"152":721,"153":722,"154":725,"155":726,"156":736,"157":740,"158":748,"159":757,"160":768,"161":770,"162":778,"163":784,"164":785,"165":790,"166":794,"167":808,"168":810,"169":824,"170":825,"171":828,"172":843,"173":847,"174":848,"175":850,"176":853,"177":883,"178":887,"179":904,"180":906,"181":913,"182":919,"184":926,"185":935,"186":939,"187":941,"188":949,"189":966,"190":973,"191":983,"192":999,"193":1001,"194":1004,"195":1016,"196":1018,"197":1020},{"0":37,"1":125,"2":225,"3":231,"4":240,"5":247,"6":249,"7":251,"8":252,"9":285,"10":364,"11":467,"12":480,"13":482,"14":485,"15":486,"16":492,"17":501,"18":504,"19":505,"20":510,"21":519,"22":526,"23":535,"24":539,"25":546,"26":564,"27":575,"28":591,"29":601,"30":602,"31":606,"32":620,"33":632,"34":636,"35":649,"36":653,"37":656,"38":673,"39":688,"40":691,"41":693,"42":694,"43":697,"44":708,"45":712,"46":714,"47":723,"48":732,"49":762,"50":765,"51":798,"52":803,"53":805,"54":807,"55":811,"56":830,"57":832,"58":836,"60":849,"61":854,"62":861,"63":868,"64":881,"65":890,"66":895,"67":899,"68":908,"69":917,"70":920,"71":923,"72":924,"73":933,"74":938,"75":942,"76":945,"77":951,"78":953,"79":960,"80":971,"81":974,"82":1000,"83":1002,"84":1008,"85":1010,"86":1015},{"0":239,"1":549,"2":553,"3":576,"4":594,"5":638,"6":642,"8":689,"9":695,"10":698,"11":796,"12":822,"13":838,"14":855,"15":856,"16":864,"17":892,"18":903,"19":950,"21":962,"22":965,"23":975,"24":976,"25":981,"26":996,"27":1005,"28":1023},[484,605,718,730,783,786,817,837,894,954],[541,779,800,912,918],[588,662,766,781,860,963,977],[907,985,992,1014],{"1":660},[813],[930],[574,684,897],[623],[540,565],[731,842],[538,664,839],[611,776],[760],[569,982],[751,902],[515,771,797],[724,882,1019],[666,679,729,737,934],[563,571,991],[599,815,845],[556,561,915],[584,683,777,877,969],[547,936],{"0":709,"1":746,"3":818,"4":835},[544,668,863],[761,873],[862,876],[741,759],[590,932,1012,1017],[543,651,967],[559,910,929],[580,583,603,610,791,901,1007],[858,911,931,989],[530,753,775,990],[523,579],[578,661,834,984],[613,655,752,927],[608,687,914,1009],[512,598,795,891],[521,900,980],[568,589,738,739,878,956],[522,829,866],[680,852,879],[701,827,857,880,959,1011],[525,621,629,658,717,774],[524,635,728,905],[517,713,865,1021],[532,943],[626,833,893,916],[536,551,756,763,772,814,947],[577,659,702,886,952],[647,648,675,993],[672,921,946],[570,663,788,869,958],[614,639,654,812,846,875,889],[545,716,804],[715,735,773,859],[520,609,747,816,1006],[537,593],[711,978],[555,652,703,840,928],[548,612,682,986],[802,851,888],[681,998],[643],[645,979],[826,1022],[799,972],[587,987],[616,909,961],[742],[665,809,823,968],[806,884],[554,699],[518,994],[743],[793],[705],[669],[700],[755]]