[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":7,"7":8,"8":9,"9":10,"10":12,"11":13,"12":14,"13":15,"14":16,"15":17,"16":18,"17":19,"18":20,"19":21,"20":22,"21":23,"22":24,"23":25,"24":26,"25":27,"26":28,"27":29,"28":30,"29":31,"30":32,"31":33,"32":34,"33":35,"34":36,"35":37,"36":38,"37":39,"38":40,"39":41,"40":42,"41":43,"42":44,"43":45,"44":46,"45":47,"46":48,"47":50,"48":51,"49":52,"50":53,"51":54,"52":55,"53":56,"54":57,"55":58,"56":59,"57":60,"58":62,"59":63,"60":64,"61":65,"62":66,"63":67,"64":68,"65":69,"66":70,"67":71,"68":72,"69":73,"70":74,"71":75,"72":76,"73":77,"74":78,"75":79,"76":80,"77":81,"78":82,"79":84,"80":85,"81":86,"82":87,"83":88,"84":89,"85":90,"86":91,"87":92,"88":93,"89":94,"90":95,"91":96,"92":97,"93":98,"94":99,"95":100,"96":101,"97":102,"98":103,"99":104,"100":105,"101":106,"102":107,"103":108,"104":109,"105":110,"106":111,"107":112,"108":113,"109":114,"110":115,"111":116,"112":117,"113":118,"114":119,"115":120,"116":121,"117":122,"118":123,"119":124,"120":125,"121":126,"122":127,"123":128,"124":129,"125":130,"126":131,"127":132,"128":133,"129":134,"130":135,"131":136,"132":137,"133":138,"134":139,"135":140,"136":141,"137":142,"138":143,"139":144,"140":146,"141":147,"142":148,"143":149,"144":150,"145":151,"146":152,"147":153,"148":154,"149":155,"150":156,"151":157,"152":158,"153":160,"154":161,"155":162,"156":163,"157":164,"158":165,"159":166,"160":167,"161":168,"162":169,"163":170,"164":171,"165":172,"166":173,"167":174,"168":175,"169":176,"170":178,"171":179,"172":180,"174":182,"175":183,"176":184,"177":185,"178":186,"179":187,"180":188,"181":189,"182":190,"183":191,"184":192,"185":193,"186":194,"187":195,"188":196,"189":197,"190":198,"191":199,"192":200,"193":201,"194":202,"195":203,"196":204,"197":205,"198":206,"199":207,"200":208,"201":209,"202":210,"203":211,"204":212,"205":213,"206":214,"207":215,"208":216,"209":217,"210":219,"211":220,"212":221,"213":222,"214":223,"215":224,"216":225,"217":226,"218":227,"219":228,"220":229,"221":230,"222":231,"223":232,"224":233,"225":234,"226":235,"227":236,"228":237,"229":238,"230":239,"231":240,"232":241,"233":242,"234":243,"235":244,"236":245,"237":246,"238":247,"239":248,"240":249,"241":251,"242":252,"243":253,"244":254,"245":255,"246":256,"247":257,"249":259,"250":260,"251":261,"252":262,"253":263,"254":264,"255":265,"256":266,"257":267,"258":268,"259":269,"260":270,"261":271,"262":272,"263":273,"264":274,"265":275,"266":276,"267":277,"268":278,"269":279,"270":280,"271":281,"272":282,"273":283,"274":284,"275":285,"276":286,"277":287,"278":288,"279":289,"280":290,"281":291,"282":292,"283":293,"284":294,"285":295,"286":296,"287":297,"288":298,"290":300,"291":301,"292":302,"293":303,"294":304,"295":305,"296":306,"297":307,"298":308,"299":309,"300":310,"301":311,"302":312,"303":313,"304":315,"305":316,"306":317,"307":318,"308":319,"309":320,"310":321,"311":322,"312":323,"313":324,"314":325,"315":326,"316":327,"317":328,"318":329,"319":331,"320":332,"321":333,"322":334,"323":335,"324":336,"325":337,"326":338,"327":340,"328":341,"329":342,"330":343,"331":344,"332":345,"333":346,"334":347,"335":348,"336":349,"337":350,"338":351,"339":352,"340":353,"341":354,"342":355,"343":356,"344":357,"345":358,"346":359,"347":360,"348":361,"349":362,"350":363,"351":364,"352":365,"353":366,"354":367,"355":368,"356":369,"357":370,"358":371,"359":372,"360":373,"361":375,"362":376,"363":377,"364":378,"366":380,"367":381,"368":382,"369":383,"370":384,"371":385,"372":386,"373":388,"374":389,"375":390,"376":391,"377":392,"378":393,"379":394,"380":396,"381":398,"382":399,"383":400,"384":401,"385":402,"386":403,"387":404,"388":405,"389":406,"390":407,"391":408,"392":409,"393":410,"394":411,"395":412,"396":413,"397":414,"398":415,"399":416,"400":417,"401":418,"402":419,"403":420,"404":421,"405":422,"406":423,"407":424,"408":425,"409":426,"410":427,"411":428,"412":429,"413":430,"414":431,"415":432,"416":433,"417":434,"418":435,"419":436,"420":437,"421":438,"422":439,"423":440,"424":441,"425":442,"426":443,"427":444,"428":445,"429":446,"430":447,"431":448,"432":449,"433":450,"434":451,"435":453,"436":454,"437":455,"438":456,"439":457,"440":458,"441":459,"442":460,"443":461,"444":462,"445":463,"446":464,"447":465,"448":466,"449":467,"450":468,"451":469,"452":470,"453":472,"454":473,"455":474,"456":475,"457":476,"458":477,"459":478,"460":479,"461":480,"462":481,"463":482,"464":483,"465":484,"466":485,"467":486,"468":487,"469":488,"470":489,"471":490,"472":491,"473":492,"474":493,"475":494,"476":495,"477":496,"478":497,"479":498,"480":499,"481":500,"482":501,"483":502,"484":503,"485":504,"486":505,"487":506,"488":507,"489":508,"490":510,"491":511,"492":514,"493":519,"494":521,"495":537,"496":542,"497":551,"498":552,"499":553,"500":558,"501":560,"502":562,"503":564,"504":577,"505":588,"506":590,"507":592,"508":598,"509":612,"510":624,"511":652,"512":656,"513":660,"514":672,"515":679,"516":686,"517":694,"518":697,"519":700,"520":707,"521":723,"522":731,"523":738,"524":742,"525":754,"526":756,"527":776,"528":782,"529":784,"530":791,"531":794,"532":795,"533":809,"534":825,"535":831,"536":834,"537":846,"538":856,"539":868,"540":873,"541":876,"542":900,"543":918,"544":920,"545":924,"546":931,"547":941,"548":949,"549":958,"550":959,"551":960,"552":962,"553":963,"554":983,"555":991,"556":998,"557":1000,"558":1009,"559":1010,"560":1011,"561":1016,"562":1018},{"0":11,"1":49,"2":61,"3":83,"4":145,"5":159,"6":177,"7":250,"8":314,"9":330,"10":339,"11":374,"12":387,"13":395,"14":397,"15":452,"16":471,"17":509,"18":512,"19":513,"20":523,"21":528,"22":534,"23":543,"24":557,"25":559,"26":566,"27":567,"28":571,"29":573,"30":578,"31":579,"32":580,"33":581,"34":593,"35":597,"36":605,"37":620,"38":623,"39":625,"40":626,"41":628,"42":648,"43":649,"44":653,"45":657,"46":659,"47":662,"48":663,"49":665,"50":666,"51":668,"52":670,"53":673,"54":674,"55":676,"56":692,"57":695,"58":718,"59":728,"60":733,"61":740,"62":747,"63":750,"64":751,"65":755,"66":759,"67":763,"68":772,"69":800,"70":803,"71":807,"72":813,"73":814,"74":816,"75":817,"76":823,"77":826,"78":836,"79":842,"80":845,"81":850,"82":854,"83":858,"84":861,"85":862,"86":864,"87":867,"88":870,"89":883,"90":884,"91":885,"92":888,"93":895,"94":897,"95":904,"96":907,"97":913,"98":915,"99":917,"100":925,"101":935,"102":936,"103":937,"104":945,"105":952,"106":956,"107":957,"108":970,"109":971,"110":972,"111":974,"112":977,"113":978,"114":985,"115":986,"116":989,"117":992,"118":996,"119":997,"121":1007,"122":1020},[6,218,518,529,533,538,539,548,549,561,570,583,606,611,615,640,642,646,651,678,691,698,699,709,722,726,768,773,777,778,788,792,802,805,840,844,852,853,855,871,878,879,886,889,891,892,898,916,922,932,938,940,944,948,969,988,1004,1017],[555,563,584,603,610,627,693,704,711,714,732,735,829,833,872,875,880,890,973,993,1008],[594,636,658,664,675,717,810,909,921,939,995,1022],[727,734,882,1021],[619,827],[568,569],[582,586,729,981],{"0":639,"1":705,"2":779,"4":968,"5":987},[621,643,645],[622,635,765],[599,644],[540,600,749,934,943,955],[766,910],[684,758],[547,708,979,1013],[682,730,761],[669,744,767,911,1014],[520,556,572,798],[634,681,757,760,804,928,930],[609,849,1012],[631,633,984],[517,585,781,839],[905,926,951],[743,821,901],[637,720,741],[687,933],[796,851,866],[614,716,774],[546,596,822,927],[576,638],[602,799,1003],[689,785,812,896],[736,819],[712,902],[713,874],[801,808,887,1006],[725,770,929],[1001,1015],[677,769,811,818,820],[701,966,990],[843,859,961],[535,667,703,739,869,982],[787,947,954,964],[527,565,762,789,815,877],[515,919,1019],[587,632,737,1005],[532,616,753,780,980],[629,745,894,946],[715,828,975],[589,641,671,797],[541,550,806,994],[530,591,601,607,837],[595,618,661,680,790],[752,832],[531,688,903],[690,847,1023],[696,702,841,965],[721,771],[544,630,914],[608,783,953],[748],[524],[860,950],[1002],[647],[574],[613],[654],[526,617],[554,710],[863],[746,899],[923],[724,764],[830],[857],[835],[865,942],[604],[906,912],[881,967],[775,908],[655],[525,683],[536,838],[893],[793],[824],[706],[719],[575,848],[522],[650],[545],[685],[976],[516]]