[{"0":0,"1":1,"2":2,"3":3,"5":5,"9":9,"10":11,"11":12,"13":14,"14":15,"15":16,"17":18,"18":19,"19":20,"20":21,"21":22,"22":23,"23":24,"24":25,"25":26,"27":28,"28":29,"29":30,"30":31,"32":33,"33":34,"37":39,"38":40,"39":41,"40":42,"41":43,"42":44,"43":45,"44":46,"45":47,"47":49,"48":51,"49":52,"50":53,"51":54,"52":55,"53":56,"55":58,"56":59,"57":60,"58":61,"59":63,"60":64,"61":65,"62":67,"63":68,"66":71,"67":72,"68":73,"70":76,"71":77,"72":78,"73":79,"74":80,"75":81,"76":82,"77":83,"78":84,"79":85,"81":87,"82":88,"83":89,"84":90,"85":91,"87":94,"88":95,"89":96,"90":97,"91":98,"92":99,"93":100,"94":101,"95":102,"97":105,"98":107,"99":108,"100":109,"101":110,"102":111,"103":112,"105":114,"106":115,"107":116,"108":117,"109":118,"110":119,"111":120,"112":121,"113":122,"114":123,"115":124,"116":126,"117":127,"118":128,"119":129,"121":131,"123":134,"124":135,"125":136,"126":137,"127":138,"128":139,"129":140,"130":141,"131":142,"134":146,"135":147,"136":148,"137":149,"138":150,"139":151,"140":152,"141":153,"142":154,"143":155,"144":156,"145":157,"146":158,"147":160,"148":161,"149":162,"150":163,"151":164,"152":165,"153":166,"154":167,"155":168,"156":169,"157":170,"159":172,"160":173,"161":176,"162":177,"163":178,"164":179,"166":181,"167":182,"168":183,"169":184,"170":185,"171":186,"172":187,"173":188,"174":189,"175":190,"176":191,"177":192,"179":194,"180":195,"181":196,"182":197,"183":198,"184":199,"187":202,"188":203,"190":206,"191":207,"192":208,"193":209,"194":210,"195":211,"196":213,"197":214,"199":216,"200":217,"201":218,"203":220,"204":222,"205":223,"206":224,"207":225,"208":226,"209":227,"210":228,"212":232,"213":233,"214":234,"215":235,"217":238,"218":239,"220":241,"222":243,"223":244,"225":246,"227":248,"228":249,"229":250,"232":253,"233":254,"235":256,"236":257,"238":259,"239":260,"240":262,"241":263,"243":265,"244":266,"245":267,"247":269,"248":271,"249":272,"250":273,"251":274,"252":275,"253":276,"255":278,"256":279,"257":280,"258":281,"260":283,"261":284,"266":290,"268":292,"269":293,"270":294,"271":295,"273":297,"274":298,"275":299,"276":301,"277":302,"279":304,"280":305,"281":306,"282":307,"283":308,"284":309,"286":312,"287":313,"288":314,"289":315,"290":316,"291":317,"293":319,"294":320,"296":322,"297":323,"298":324,"299":325,"301":327,"302":329,"303":330,"304":331,"306":333,"307":334,"308":335,"309":337,"310":338,"311":340,"312":341,"313":342,"314":343,"315":345,"317":348,"319":350,"320":351,"321":352,"322":353,"323":354,"324":356,"327":361,"328":362,"329":363,"330":364,"332":366,"333":367,"334":368,"335":369,"336":371,"337":372,"338":373,"339":374,"340":375,"341":376,"342":377,"343":378,"344":379,"346":381,"348":383,"349":384,"350":385,"351":386,"352":387,"353":388,"355":390,"356":391,"357":392,"358":393,"359":394,"360":395,"361":396,"362":397,"363":398,"364":399,"365":400,"366":402,"367":403,"368":404,"369":405,"370":406,"372":409,"373":410,"374":411,"375":412,"376":413,"377":414,"379":416,"380":417,"381":418,"382":419,"384":421,"385":422,"386":423,"387":424,"388":425,"389":427,"390":428,"391":429,"392":430,"393":431,"395":433,"396":434,"397":435,"398":436,"399":437,"400":438,"401":439,"402":440,"404":442,"405":443,"406":444,"408":446,"410":448,"411":449,"412":450,"413":451,"414":452,"415":453,"416":454,"417":455,"418":456,"421":459,"422":460,"423":461,"424":462,"425":463,"426":464,"427":465,"428":466,"429":467,"430":468,"431":469,"432":470,"434":472,"435":473,"436":474,"437":475,"438":476,"439":477,"440":479,"442":481,"444":483,"445":484,"446":485,"448":487,"449":488,"450":489,"451":490,"452":491,"453":492,"454":493,"455":494,"456":495,"457":496,"458":497,"459":498,"460":499,"461":500,"462":501,"463":502,"464":503,"465":504,"466":505,"467":506,"468":507,"469":508,"470":509,"471":510,"472":511,"473":514,"474":522,"476":528,"477":537,"478":539,"479":547,"480":550,"481":551,"482":559,"483":569,"484":570,"485":574,"486":576,"487":579,"488":580,"489":581,"490":582,"491":583,"492":589,"493":590,"494":592,"495":597,"496":609,"497":618,"498":622,"499":626,"500":627,"501":628,"503":636,"504":638,"505":641,"506":650,"507":652,"508":672,"509":673,"510":686,"511":703,"513":709,"514":717,"515":718,"516":719,"517":721,"518":728,"519":734,"520":736,"521":737,"522":739,"523":742,"524":749,"526":770,"527":773,"528":779,"529":782,"531":793,"532":799,"533":804,"534":809,"535":810,"536":816,"537":828,"538":839,"539":842,"540":846,"541":848,"542":849,"545":876,"547":897,"548":898,"549":900,"550":909,"551":916,"552":920,"553":921,"554":924,"555":925,"556":929,"557":937,"558":939,"559":941,"560":943,"561":948,"562":950,"563":961,"564":965,"565":969,"566":972,"567":977,"571":993,"572":997,"573":1013,"574":1017,"575":1021,"576":1023},{"1":36,"2":50,"3":62,"4":66,"5":74,"6":92,"7":103,"8":106,"9":125,"10":132,"11":143,"12":159,"13":174,"14":175,"16":212,"17":221,"18":230,"19":231,"20":236,"21":261,"22":270,"23":288,"24":300,"25":311,"26":328,"27":336,"29":346,"30":355,"31":359,"32":360,"33":370,"34":401,"35":407,"36":426,"38":519,"41":555,"42":561,"43":563,"44":567,"45":571,"46":577,"47":578,"48":584,"49":587,"50":595,"51":601,"52":612,"53":621,"54":623,"55":631,"56":635,"57":640,"58":643,"59":646,"60":655,"61":656,"63":665,"64":670,"65":682,"66":687,"67":697,"69":702,"70":705,"71":712,"72":716,"73":722,"74":724,"75":725,"76":726,"77":729,"78":744,"79":750,"80":752,"81":762,"83":768,"84":781,"85":783,"86":786,"87":788,"88":796,"89":797,"90":805,"91":806,"93":814,"94":824,"95":830,"96":831,"98":847,"99":850,"100":857,"101":858,"102":860,"103":865,"104":872,"105":877,"106":890,"107":894,"108":895,"109":899,"111":907,"112":908,"113":910,"114":913,"115":918,"116":927,"117":930,"118":932,"119":947,"121":957,"122":958,"123":960,"124":962,"125":963,"126":974,"127":983,"129":989,"130":1005,"131":1010,"132":1015,"133":1016},{"1":512,"2":518,"3":527,"4":533,"5":535,"6":548,"7":560,"8":562,"9":564,"10":593,"11":600,"12":604,"13":608,"14":615,"15":616,"16":617,"17":637,"18":651,"19":653,"20":654,"21":657,"22":666,"23":667,"24":671,"25":676,"26":680,"28":723,"29":740,"30":757,"31":760,"32":763,"33":778,"34":798,"35":818,"36":822,"37":823,"38":829,"39":836,"40":844,"41":861,"42":874,"43":879,"45":901,"46":902,"47":912,"48":915,"49":919,"50":928,"51":936,"52":942,"53":944,"54":953,"56":990,"57":991,"58":992,"59":996,"60":999,"61":1006,"62":1008,"64":1020},[520,526,532,536,542,603,642,648,661,675,677,685,695,710,727,738,761,772,802,808,813,815,838,841,854,859,864,866,880,891,906,911,923,935,940,945,966,973,976,994,1004,1007,1011,1019],[529,546,585,586,594,602,605,610,633,644,658,674,683,684,691,708,755,769,780,800,833,835,851,856,926,933,964,980,985,1002],{"0":515,"1":516,"2":525,"3":553,"4":565,"5":572,"6":596,"7":598,"9":614,"10":620,"11":639,"12":669,"13":678,"14":692,"15":699,"16":713,"17":731,"18":733,"19":741,"20":748,"21":759,"22":771,"23":776,"24":792,"25":795,"26":811,"27":825,"28":826,"29":855,"30":917,"31":931,"32":952,"33":956,"34":967,"35":968,"36":971,"37":981,"38":995,"39":1018,"40":1022},[517,530,540,541,543,549,554,566,575,607,624,649,663,714,732,746,751,753,767,775,803,820,827,843,862,863,875,887,903,905,934,970,1001],[591,629,645,647,659,720,817,878,883,884,951,954,959,1014],{"0":524,"1":538,"2":588,"3":606,"4":619,"5":625,"8":696,"9":735,"10":774,"11":834,"12":837,"13":889,"14":892,"15":914,"16":998},[513,521,557,611,660,694,745,784,819,896,984,1000],[679,700,715,766,801,821,852,869,870,871,978],[556,558,568,632,668,707,888,893,1012],{"0":552,"1":573,"2":693,"3":701,"5":747,"6":787,"8":807,"9":873,"10":922,"11":946,"12":975},{"0":545,"1":681,"3":743,"5":790,"6":791,"8":845},[689,853,881],[534,886],{"1":706,"2":754},[777],[],[]]