[{"0":0,"1":1,"2":3,"4":5,"5":6,"7":9,"8":10,"9":12,"10":13,"11":14,"12":15,"13":16,"14":18,"15":20,"16":22,"17":23,"18":24,"19":25,"20":26,"21":27,"22":28,"23":29,"24":30,"25":31,"26":32,"27":33,"28":34,"29":35,"30":36,"31":37,"32":38,"33":39,"34":40,"35":41,"36":42,"37":43,"39":45,"40":46,"41":47,"43":49,"44":50,"47":53,"49":55,"50":57,"51":59,"52":60,"53":61,"55":63,"56":66,"59":70,"60":71,"61":72,"63":74,"64":75,"65":76,"66":77,"67":78,"68":79,"69":80,"70":82,"71":84,"72":85,"73":86,"74":87,"75":88,"76":89,"77":90,"78":91,"79":92,"80":93,"81":94,"82":95,"83":97,"84":98,"85":99,"87":101,"88":104,"90":106,"92":108,"93":109,"96":114,"97":115,"98":116,"99":117,"100":118,"101":119,"102":120,"103":121,"104":123,"105":124,"106":126,"107":127,"108":128,"109":129,"110":131,"113":134,"114":135,"115":137,"116":138,"117":141,"118":142,"119":143,"120":144,"121":145,"122":146,"123":147,"124":148,"125":149,"126":150,"127":151,"128":152,"129":153,"130":154,"131":155,"132":156,"133":157,"134":158,"135":160,"136":161,"137":163,"138":164,"139":165,"140":167,"141":168,"142":169,"143":171,"144":172,"145":174,"147":176,"148":177,"149":178,"150":179,"151":180,"152":182,"153":184,"154":186,"155":187,"156":189,"157":190,"158":191,"159":194,"160":195,"161":196,"162":197,"163":198,"164":199,"166":201,"167":203,"169":207,"170":208,"171":209,"172":210,"173":212,"174":215,"175":217,"176":218,"177":219,"178":221,"179":222,"180":223,"181":224,"182":225,"183":227,"184":228,"185":229,"186":231,"187":232,"188":233,"189":234,"190":236,"191":238,"192":239,"193":240,"194":241,"195":242,"196":244,"197":245,"198":246,"199":247,"200":248,"201":249,"202":252,"203":253,"204":254,"207":258,"209":260,"211":262,"212":263,"213":264,"216":267,"217":268,"218":270,"219":271,"220":274,"221":275,"222":276,"223":277,"224":278,"225":279,"226":280,"227":282,"228":283,"229":284,"230":285,"232":287,"233":288,"234":289,"235":290,"236":291,"237":292,"238":294,"239":296,"240":297,"241":298,"242":299,"243":300,"244":301,"245":302,"246":303,"247":304,"248":305,"249":306,"251":308,"253":310,"255":312,"256":313,"257":314,"259":316,"260":317,"261":318,"262":319,"263":320,"264":321,"265":322,"267":324,"270":327,"271":328,"272":329,"273":334,"274":335,"275":336,"276":337,"277":338,"278":339,"279":341,"280":342,"281":343,"282":344,"283":345,"284":347,"285":352,"286":353,"287":354,"288":355,"289":356,"290":357,"291":358,"292":359,"293":361,"294":363,"295":364,"296":365,"297":366,"298":367,"300":369,"301":370,"303":372,"305":375,"306":376,"307":379,"309":381,"310":382,"311":383,"313":385,"315":388,"316":389,"317":390,"318":393,"319":394,"320":395,"323":399,"324":400,"325":401,"326":402,"327":403,"328":404,"329":405,"330":406,"331":407,"332":408,"333":409,"335":412,"336":413,"338":415,"339":416,"340":417,"342":419,"343":421,"344":422,"345":423,"346":424,"347":425,"348":426,"349":427,"350":428,"351":429,"352":431,"354":433,"355":434,"356":435,"357":436,"358":437,"359":438,"360":440,"361":441,"362":444,"364":446,"365":447,"366":448,"367":449,"368":450,"369":452,"370":453,"371":454,"372":455,"373":456,"374":457,"375":459,"376":460,"377":461,"378":463,"379":464,"380":465,"381":466,"382":467,"383":468,"384":469,"385":470,"386":471,"387":472,"388":475,"389":477,"390":478,"391":479,"392":480,"393":481,"394":483,"395":484,"396":486,"397":487,"398":488,"399":490,"400":491,"401":492,"402":493,"403":494,"404":495,"405":496,"406":497,"407":499,"408":500,"409":501,"410":502,"411":503,"412":504,"413":505,"414":507,"415":508,"416":509,"417":510,"418":511,"419":513,"420":514,"421":520,"422":523,"423":525,"424":527,"425":529,"426":532,"427":536,"428":540,"429":541,"430":545,"431":547,"432":548,"433":549,"434":550,"435":554,"436":557,"437":566,"438":571,"439":575,"440":577,"441":579,"442":581,"443":584,"444":588,"445":591,"446":594,"448":598,"449":599,"450":603,"451":606,"452":610,"453":615,"454":618,"455":621,"456":622,"457":626,"458":631,"459":637,"460":643,"461":647,"462":660,"463":663,"464":673,"465":674,"466":680,"468":685,"469":688,"470":697,"471":699,"472":701,"473":703,"474":706,"475":708,"476":712,"477":718,"478":719,"479":729,"480":730,"481":737,"482":738,"483":741,"484":745,"485":749,"486":754,"487":758,"488":766,"489":768,"490":771,"491":779,"492":782,"493":784,"494":787,"495":788,"496":795,"497":804,"498":812,"499":813,"500":814,"501":819,"502":820,"503":823,"504":825,"505":829,"506":832,"507":834,"508":835,"509":837,"510":841,"511":845,"512":846,"513":848,"514":851,"515":856,"516":859,"517":860,"518":871,"519":873,"520":877,"521":881,"523":890,"524":899,"525":901,"526":904,"527":911,"528":916,"529":921,"531":929,"532":933,"533":934,"534":940,"535":941,"536":943,"537":949,"538":950,"539":951,"540":953,"541":960,"542":963,"543":969,"544":970,"545":971,"546":977,"547":989,"548":997,"549":1001,"550":1002,"551":1010,"552":1012,"553":1018},{"0":2,"1":8,"2":11,"3":17,"4":19,"5":21,"7":58,"8":64,"10":69,"11":81,"12":83,"13":102,"14":103,"15":110,"16":111,"17":125,"18":130,"19":136,"20":139,"21":140,"22":159,"23":162,"24":166,"25":170,"26":173,"27":181,"28":183,"29":185,"30":188,"31":192,"32":193,"33":202,"34":205,"35":206,"36":211,"37":213,"38":214,"39":216,"40":226,"41":230,"42":235,"43":237,"44":243,"45":250,"46":255,"47":269,"48":272,"49":273,"50":281,"51":293,"52":295,"53":330,"54":331,"55":332,"56":333,"57":340,"58":348,"59":349,"60":350,"61":351,"62":360,"63":362,"64":377,"65":378,"66":386,"68":392,"69":397,"70":411,"71":420,"72":430,"73":439,"74":442,"75":443,"76":462,"77":473,"78":474,"79":476,"80":482,"81":485,"82":489,"83":498,"84":506,"85":515,"86":516,"87":524,"88":531,"89":534,"90":535,"91":542,"92":544,"93":552,"94":553,"95":555,"96":558,"97":563,"98":564,"99":570,"100":574,"101":576,"102":578,"103":580,"104":582,"105":583,"106":590,"107":602,"108":604,"109":607,"110":614,"111":617,"112":623,"113":624,"114":629,"115":633,"116":635,"117":638,"118":641,"119":644,"120":651,"121":653,"122":657,"123":662,"124":666,"125":670,"126":676,"127":686,"128":687,"129":689,"130":692,"131":702,"132":709,"133":710,"134":714,"135":716,"136":724,"137":725,"138":731,"140":739,"141":744,"143":751,"144":757,"145":762,"146":764,"147":772,"148":789,"149":794,"150":796,"151":798,"152":799,"153":801,"154":802,"155":806,"156":808,"157":809,"158":810,"159":821,"160":824,"162":836,"163":839,"164":842,"165":843,"166":847,"167":849,"168":852,"169":854,"170":857,"171":866,"172":869,"173":872,"174":878,"175":879,"176":884,"177":889,"178":892,"179":895,"180":896,"181":898,"182":902,"184":909,"185":914,"186":917,"187":922,"188":927,"189":930,"190":931,"191":936,"192":942,"193":944,"194":955,"195":956,"196":957,"197":964,"198":966,"199":973,"200":978,"201":982,"202":985,"203":991,"204":994,"205":999,"206":1007,"207":1008,"208":1009,"209":1011,"210":1016,"211":1022},{"0":96,"1":122,"2":220,"3":251,"4":346,"5":374,"6":451,"7":458,"8":521,"9":538,"10":546,"11":556,"12":559,"13":565,"14":567,"15":572,"16":600,"18":611,"19":612,"20":630,"21":632,"22":639,"23":669,"24":679,"25":690,"26":695,"27":717,"28":720,"29":726,"30":742,"31":753,"34":786,"35":792,"36":800,"37":817,"38":827,"39":830,"40":838,"41":844,"42":858,"43":862,"44":882,"45":913,"46":915,"47":928,"48":938,"49":946,"50":947,"51":948,"53":972,"54":979,"55":987,"56":992,"57":995,"58":1006,"59":1013,"60":1014,"61":1020},{"0":526,"1":537,"2":569,"3":589,"5":616,"6":625,"7":646,"8":649,"9":650,"10":658,"11":664,"12":678,"13":696,"14":747,"15":756,"16":763,"17":767,"18":773,"19":785,"20":818,"21":826,"22":867,"23":876,"24":880,"25":885,"26":894,"27":907,"28":912,"29":926,"30":935,"31":952,"32":954,"33":980,"34":998,"35":1015},{"0":512,"1":539,"2":551,"4":608,"5":627,"7":667,"8":723,"9":727,"10":728,"11":746,"12":752,"13":761,"14":780,"15":793,"16":797,"17":850,"18":853,"21":968,"22":981,"23":1003},{"0":522,"1":585,"2":597,"3":634,"4":642,"5":654,"6":661,"7":681,"8":683,"9":707,"10":713,"11":722,"13":740,"14":743,"15":833,"16":840,"17":855,"18":887,"19":893,"20":965,"21":986,"22":1021},{"0":530,"1":533,"2":561,"3":592,"4":619,"5":620,"6":659,"7":700,"8":760,"9":765,"10":778,"11":790,"13":807,"14":868,"15":908,"16":923,"17":932,"18":976,"19":990,"20":1017,"21":1023},[517,568,586,636,668,691,715,734,774,777,781,811,865,870,874,905,939,958,974,996,1004],{"0":519,"1":560,"2":562,"3":573,"4":596,"5":613,"6":628,"8":655,"9":665,"10":671,"11":698,"12":705,"13":735,"14":750,"15":864,"16":875,"17":891,"18":920,"20":975,"21":1019},[593,609,648,675,677,684,736,755,759,822,863,888,918,924,984,988,993],{"0":518,"1":528,"3":672,"4":693,"5":769,"6":803,"7":816,"8":831,"9":900,"10":906,"11":945,"12":961,"14":1005},[543,704,711,721,770,775,805],[656,694,861],[]]