[{"0":0,"1":2,"2":4,"3":5,"4":6,"6":8,"7":9,"8":10,"9":11,"10":12,"11":13,"12":15,"13":16,"14":17,"15":18,"16":19,"17":20,"18":21,"20":23,"21":24,"22":25,"23":27,"24":28,"25":29,"26":30,"27":31,"28":32,"29":33,"30":34,"31":35,"32":36,"33":37,"34":38,"35":40,"36":41,"37":42,"38":43,"40":47,"41":48,"42":49,"44":52,"45":53,"47":56,"48":57,"49":58,"50":59,"51":60,"52":61,"53":62,"54":63,"55":64,"56":65,"57":66,"58":67,"59":68,"60":69,"61":70,"62":71,"63":72,"64":73,"65":74,"66":75,"67":76,"68":77,"69":78,"70":80,"71":81,"72":83,"73":84,"74":86,"75":87,"76":88,"77":89,"78":90,"79":93,"80":94,"81":95,"82":96,"83":97,"84":99,"85":100,"86":101,"87":103,"88":104,"89":106,"90":107,"91":108,"92":110,"93":111,"94":112,"95":113,"96":114,"97":116,"98":117,"99":118,"100":119,"101":120,"102":121,"103":122,"105":124,"106":125,"107":126,"108":127,"109":129,"110":130,"111":131,"112":132,"113":134,"114":135,"115":136,"116":137,"117":138,"118":139,"119":141,"120":142,"121":143,"122":144,"123":145,"124":147,"125":148,"126":149,"127":150,"128":151,"129":152,"130":153,"131":155,"132":156,"133":158,"134":159,"135":160,"136":161,"137":162,"138":163,"139":164,"140":165,"141":166,"142":167,"143":168,"145":170,"146":171,"147":172,"148":174,"149":175,"150":176,"151":178,"152":179,"153":180,"154":181,"155":182,"158":186,"159":188,"160":189,"161":190,"162":191,"163":192,"164":193,"165":194,"166":195,"167":196,"168":197,"169":198,"170":199,"171":200,"172":201,"173":202,"174":203,"175":204,"176":205,"177":206,"178":207,"179":208,"180":209,"181":210,"182":211,"183":212,"184":213,"185":215,"186":216,"187":217,"188":218,"189":219,"190":220,"191":221,"192":222,"193":224,"194":225,"195":227,"196":228,"197":229,"198":230,"199":231,"200":232,"201":233,"202":234,"203":235,"204":237,"205":238,"206":239,"207":241,"208":242,"209":243,"210":244,"211":245,"212":246,"213":247,"214":248,"215":249,"216":250,"217":252,"218":253,"219":255,"220":256,"221":257,"222":258,"223":259,"224":260,"225":261,"226":263,"227":264,"228":265,"229":266,"231":269,"232":271,"233":272,"235":274,"237":277,"238":278,"239":279,"240":280,"241":281,"242":283,"244":285,"245":286,"246":287,"247":288,"248":289,"249":290,"250":291,"251":292,"252":294,"253":295,"254":296,"255":297,"256":298,"257":299,"258":300,"259":301,"260":302,"262":304,"264":306,"265":307,"266":308,"267":309,"268":310,"269":311,"270":312,"271":313,"272":314,"273":315,"274":316,"275":317,"276":318,"277":319,"278":320,"279":321,"280":322,"281":323,"282":324,"284":326,"285":327,"286":328,"287":329,"288":330,"289":331,"290":332,"291":333,"292":334,"293":335,"294":336,"295":337,"296":338,"297":339,"298":341,"299":342,"300":343,"301":344,"302":345,"303":346,"304":348,"305":349,"306":350,"307":351,"308":352,"309":353,"310":354,"311":355,"312":357,"313":358,"314":359,"315":360,"316":361,"317":363,"318":364,"319":365,"320":366,"321":367,"322":368,"323":369,"324":370,"326":372,"327":373,"328":374,"329":376,"330":377,"331":378,"332":379,"334":381,"335":382,"336":383,"337":384,"338":385,"339":387,"340":389,"342":391,"343":392,"344":393,"345":395,"346":396,"347":398,"348":399,"349":400,"350":401,"351":402,"352":403,"353":405,"354":407,"355":408,"356":409,"357":410,"358":411,"359":412,"360":413,"361":414,"362":415,"363":416,"364":417,"365":418,"366":419,"367":420,"368":422,"369":423,"370":424,"371":425,"372":426,"373":427,"375":429,"377":431,"378":432,"379":433,"380":434,"381":435,"382":436,"383":437,"384":438,"385":439,"386":440,"387":441,"388":442,"389":443,"390":444,"392":446,"393":447,"394":449,"395":450,"396":451,"397":452,"398":454,"399":455,"400":456,"401":457,"402":458,"403":459,"404":460,"405":461,"406":463,"407":464,"408":465,"409":466,"410":467,"411":468,"412":469,"413":470,"414":471,"415":472,"416":473,"417":474,"418":475,"419":476,"420":477,"421":479,"422":480,"423":481,"424":483,"425":484,"426":485,"427":486,"428":487,"429":488,"430":489,"431":492,"432":493,"433":494,"434":495,"435":496,"436":497,"437":498,"438":499,"439":501,"440":502,"441":503,"442":504,"443":505,"444":506,"445":507,"446":508,"447":509,"448":510,"449":514,"450":522,"451":525,"452":526,"453":528,"454":531,"455":534,"456":535,"457":542,"458":543,"459":545,"460":547,"461":548,"462":549,"463":550,"464":552,"465":553,"466":554,"467":556,"468":557,"469":561,"470":562,"471":565,"472":567,"473":573,"474":574,"475":575,"476":577,"477":578,"478":579,"479":581,"480":582,"481":584,"482":588,"483":591,"484":592,"485":599,"486":602,"487":607,"488":608,"489":612,"490":617,"491":619,"492":623,"493":624,"494":625,"495":626,"496":629,"497":630,"498":632,"499":638,"500":639,"502":642,"503":656,"504":673,"505":675,"506":681,"507":686,"508":689,"509":691,"510":692,"511":696,"512":706,"513":707,"514":715,"515":716,"516":718,"517":720,"518":723,"519":727,"520":730,"521":731,"522":733,"523":735,"524":737,"525":739,"526":740,"527":744,"528":745,"529":747,"530":748,"531":753,"532":756,"533":757,"534":758,"535":761,"536":762,"537":765,"538":766,"539":767,"540":768,"541":771,"542":776,"543":777,"544":779,"545":784,"546":787,"547":788,"548":792,"549":794,"550":798,"551":803,"552":808,"553":810,"554":812,"555":814,"556":822,"557":825,"558":828,"559":830,"560":831,"561":833,"562":840,"563":842,"564":845,"565":847,"566":848,"567":851,"568":853,"569":860,"570":862,"571":864,"572":867,"573":869,"574":874,"575":876,"576":877,"577":884,"578":889,"579":891,"580":893,"581":896,"582":900,"583":902,"584":906,"585":909,"586":910,"587":927,"588":929,"589":930,"590":932,"591":936,"592":937,"593":939,"594":940,"595":950,"596":951,"597":953,"598":954,"599":955,"600":956,"601":957,"602":958,"603":961,"604":962,"605":963,"606":967,"607":969,"608":971,"609":975,"610":977,"611":980,"612":981,"613":984,"614":994,"615":996,"616":1000,"617":1001,"618":1002,"619":1007,"620":1010,"621":1014,"622":1017,"623":1018,"624":1019,"625":1020,"626":1023},{"0":1,"1":3,"2":14,"3":26,"4":39,"5":45,"6":51,"8":82,"9":85,"10":91,"11":92,"12":98,"13":102,"14":105,"15":109,"16":115,"17":128,"18":140,"19":146,"20":154,"21":157,"22":173,"23":177,"24":184,"25":187,"26":214,"27":223,"28":226,"29":236,"30":240,"31":251,"32":254,"33":262,"34":268,"35":270,"36":275,"37":282,"38":293,"39":340,"40":347,"41":356,"42":362,"43":375,"44":386,"45":388,"46":394,"47":397,"48":406,"49":421,"50":448,"51":453,"52":462,"53":478,"54":482,"55":490,"56":491,"57":500,"58":511,"59":512,"60":516,"61":517,"62":519,"63":523,"64":524,"65":532,"66":533,"67":540,"68":546,"69":558,"70":559,"71":568,"72":576,"73":583,"74":586,"75":593,"76":595,"77":596,"78":597,"79":598,"80":604,"81":609,"82":610,"83":613,"84":614,"85":622,"86":631,"87":635,"88":644,"89":646,"90":647,"91":652,"92":653,"93":654,"94":655,"95":659,"96":661,"97":665,"98":674,"99":678,"100":679,"101":687,"102":688,"103":690,"104":693,"105":697,"106":699,"107":700,"108":702,"109":704,"110":709,"111":710,"112":712,"113":719,"114":732,"115":734,"116":738,"117":742,"118":743,"119":749,"120":752,"121":770,"122":772,"123":774,"124":775,"125":778,"126":783,"127":786,"128":791,"129":795,"130":799,"131":801,"132":802,"133":807,"134":809,"135":823,"136":826,"137":827,"138":837,"139":841,"140":856,"141":857,"142":866,"143":870,"144":882,"145":888,"146":890,"147":892,"148":895,"149":905,"150":911,"151":913,"152":914,"153":917,"154":918,"155":919,"156":920,"157":922,"158":923,"159":924,"160":925,"161":928,"162":931,"163":933,"164":938,"165":941,"166":945,"167":947,"168":949,"169":960,"170":966,"171":982,"172":988,"173":990,"174":992,"175":1003,"176":1006,"177":1008,"178":1009,"179":1011,"180":1013,"181":1021},[44,79,133,404,518,520,551,563,566,569,572,585,589,601,606,615,616,633,637,645,649,651,658,664,670,671,672,676,680,684,685,695,698,714,724,726,728,729,751,759,764,769,773,780,785,796,804,811,815,817,818,819,821,829,834,838,843,846,849,852,855,858,871,880,903,908,916,935,946,959,972,973,978,979,983,986,987,991,993,997,1004,1005],{"0":521,"1":530,"2":536,"3":538,"4":555,"5":564,"6":590,"7":600,"8":611,"9":621,"10":636,"11":641,"12":643,"13":657,"14":662,"15":666,"16":669,"17":683,"18":694,"19":705,"20":711,"21":713,"22":721,"23":722,"24":736,"25":741,"26":746,"27":750,"28":781,"29":789,"30":793,"31":797,"32":800,"33":816,"34":824,"35":839,"36":854,"37":863,"38":872,"39":873,"40":878,"41":883,"42":894,"43":912,"44":926,"45":934,"46":942,"47":943,"48":952,"49":965,"50":970,"51":974,"52":976,"53":985,"54":995,"56":999,"57":1012,"58":1016},[527,539,560,580,603,628,648,650,663,668,754,760,782,805,806,820,835,859,865,868,879,881,887,897,898,907,921,944,964,968,1022],{"0":513,"1":515,"2":537,"3":541,"4":570,"6":618,"7":620,"8":634,"9":701,"10":725,"11":763,"12":832,"13":836,"14":844,"16":861,"17":885,"18":899,"19":901,"20":904,"21":948,"22":1015},[529,544,571,660,677,682,717,755,790,813,875],[667,703,708,886,989],[],[]]