[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":7,"8":8,"9":9,"10":10,"12":13,"13":14,"14":15,"15":16,"16":17,"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":47,"45":48,"46":49,"47":50,"48":51,"49":52,"51":54,"52":55,"53":56,"54":57,"55":58,"56":59,"57":60,"58":61,"59":62,"60":63,"61":64,"62":65,"63":66,"64":67,"65":69,"66":70,"67":71,"68":72,"69":74,"70":75,"71":76,"72":77,"73":78,"74":79,"75":80,"76":81,"77":82,"78":83,"79":84,"80":85,"81":87,"83":89,"84":90,"85":91,"86":92,"88":94,"89":95,"90":96,"91":97,"92":98,"93":99,"94":100,"95":101,"96":102,"97":103,"98":104,"99":106,"100":107,"101":108,"102":109,"103":110,"104":111,"105":112,"106":113,"107":114,"108":115,"109":117,"110":118,"111":119,"112":120,"113":121,"115":124,"116":125,"117":126,"118":127,"119":128,"120":129,"121":130,"122":131,"123":132,"124":133,"125":134,"126":135,"127":136,"128":138,"129":139,"130":140,"131":141,"132":142,"133":143,"134":144,"135":145,"136":146,"137":147,"138":148,"139":149,"140":152,"143":156,"144":157,"145":158,"146":159,"147":160,"148":161,"149":162,"150":163,"151":164,"152":165,"153":166,"154":167,"155":168,"156":169,"157":170,"158":172,"160":175,"161":176,"162":177,"163":178,"164":179,"165":180,"166":181,"167":182,"168":183,"169":184,"170":185,"171":186,"172":187,"173":188,"174":189,"176":191,"177":192,"178":193,"179":194,"180":195,"181":197,"182":198,"183":199,"184":200,"185":201,"186":202,"187":203,"188":204,"189":205,"190":206,"191":207,"192":208,"193":209,"194":211,"195":212,"196":213,"197":214,"198":215,"199":216,"200":218,"201":219,"202":220,"203":221,"204":222,"205":223,"206":224,"207":225,"208":227,"209":229,"210":230,"211":231,"212":233,"213":234,"214":235,"215":236,"216":237,"217":238,"218":240,"219":241,"220":242,"221":243,"222":244,"223":245,"224":246,"225":248,"226":249,"227":250,"228":252,"229":253,"230":254,"231":255,"232":256,"233":257,"234":258,"235":259,"236":260,"237":261,"238":262,"239":263,"240":265,"241":266,"242":267,"244":269,"245":270,"246":271,"247":272,"248":273,"249":274,"250":275,"251":276,"252":277,"253":281,"254":282,"255":283,"256":284,"257":285,"258":286,"259":287,"260":288,"261":289,"263":292,"264":293,"265":294,"266":295,"267":296,"268":297,"269":298,"270":299,"271":300,"272":301,"273":302,"274":303,"275":304,"276":305,"277":306,"278":307,"279":308,"280":309,"281":310,"282":311,"284":313,"285":314,"286":315,"287":316,"289":318,"290":319,"291":321,"292":322,"293":323,"294":324,"295":325,"296":326,"297":327,"298":328,"299":329,"300":330,"301":332,"302":333,"303":334,"304":335,"305":336,"306":337,"308":339,"309":340,"310":341,"311":342,"312":343,"314":345,"315":346,"316":347,"317":348,"318":349,"319":350,"320":351,"321":352,"322":353,"323":354,"324":355,"325":356,"326":357,"327":358,"328":359,"329":360,"330":361,"331":362,"332":363,"333":366,"334":367,"335":368,"336":369,"337":370,"338":372,"339":373,"340":374,"341":375,"342":376,"343":377,"344":378,"345":379,"346":380,"347":382,"348":383,"349":385,"350":386,"351":387,"352":388,"353":390,"354":391,"355":392,"356":393,"357":394,"358":395,"359":396,"360":397,"361":398,"362":399,"363":401,"364":402,"365":403,"366":404,"367":405,"368":407,"369":408,"370":410,"371":411,"372":412,"373":413,"374":414,"375":416,"377":418,"378":419,"379":421,"380":422,"381":423,"382":424,"383":425,"384":426,"385":427,"387":429,"388":430,"389":431,"391":433,"392":434,"393":435,"394":436,"395":437,"397":439,"398":441,"400":443,"401":444,"403":447,"404":448,"405":449,"406":450,"407":451,"408":452,"409":453,"410":454,"411":455,"412":456,"413":457,"414":458,"415":459,"416":460,"418":462,"419":463,"420":464,"421":465,"422":466,"423":467,"424":468,"425":469,"426":470,"427":471,"428":472,"429":473,"430":474,"431":475,"432":476,"433":477,"434":478,"435":479,"436":480,"437":481,"438":482,"439":484,"440":485,"441":486,"442":487,"443":488,"444":489,"445":490,"446":491,"447":492,"448":494,"449":495,"450":496,"451":497,"452":498,"453":499,"454":501,"455":502,"456":503,"457":504,"458":505,"459":506,"460":507,"461":508,"462":509,"463":510,"464":512,"465":516,"466":517,"467":519,"468":520,"469":521,"470":528,"471":532,"472":533,"473":534,"474":535,"475":538,"476":540,"477":541,"478":544,"479":549,"480":550,"481":553,"482":556,"483":557,"484":558,"485":559,"486":561,"487":562,"488":563,"489":564,"490":569,"491":570,"492":571,"493":575,"494":578,"495":579,"496":581,"497":582,"498":584,"499":585,"500":586,"501":587,"502":588,"503":591,"504":592,"505":593,"506":595,"507":596,"508":598,"509":601,"510":604,"511":605,"512":606,"513":610,"514":611,"515":613,"516":615,"517":616,"518":617,"519":619,"520":620,"521":621,"522":623,"523":626,"524":627,"525":628,"526":633,"527":637,"528":638,"529":641,"530":643,"531":644,"532":645,"533":646,"534":650,"535":651,"536":652,"537":653,"538":654,"539":656,"540":660,"541":663,"542":665,"543":667,"544":668,"545":669,"546":674,"547":676,"548":677,"549":680,"550":684,"551":686,"552":692,"553":695,"554":699,"555":701,"556":703,"557":704,"558":705,"559":706,"560":707,"561":708,"562":709,"563":712,"564":713,"565":714,"566":715,"567":716,"568":720,"569":723,"570":724,"571":727,"572":730,"573":731,"574":736,"575":739,"576":743,"577":747,"578":749,"579":752,"580":764,"581":767,"582":768,"583":772,"584":775,"585":777,"586":778,"587":779,"588":780,"589":782,"590":783,"591":787,"592":790,"593":791,"594":794,"595":795,"596":796,"597":798,"598":799,"599":801,"600":802,"601":804,"602":808,"603":813,"604":814,"605":815,"606":817,"607":818,"608":819,"609":820,"610":823,"611":824,"612":825,"613":826,"614":828,"615":829,"616":830,"617":833,"618":836,"619":839,"620":844,"621":847,"622":849,"623":851,"624":854,"625":864,"626":865,"627":866,"628":867,"629":868,"630":870,"631":873,"632":877,"633":879,"634":882,"635":885,"636":893,"637":895,"638":896,"639":899,"640":900,"641":904,"642":907,"643":911,"644":913,"645":917,"646":919,"647":924,"648":925,"649":926,"650":927,"651":928,"652":929,"653":931,"654":938,"655":939,"656":940,"657":941,"658":942,"659":943,"660":945,"661":949,"662":951,"663":953,"664":955,"665":956,"666":959,"667":960,"668":962,"669":967,"670":969,"671":970,"672":973,"673":976,"674":980,"675":981,"676":982,"677":983,"678":984,"679":986,"680":988,"681":991,"682":992,"683":993,"684":996,"685":998,"686":999,"687":1000,"688":1001,"689":1003,"690":1004,"691":1010,"692":1011,"693":1012,"694":1013,"695":1017,"696":1018,"697":1019,"698":1021,"699":1023},[12,18,46,68,73,86,105,123,137,150,151,154,171,173,196,210,217,226,228,232,239,247,251,264,278,279,280,291,320,364,365,371,381,384,389,400,406,409,415,440,446,483,493,500,511,513,514,518,525,530,531,536,537,539,542,545,546,547,551,552,565,566,567,568,573,576,580,589,590,594,599,600,602,603,607,608,609,622,624,629,630,636,639,640,655,657,658,661,662,664,666,670,672,673,675,678,682,688,691,693,694,697,698,702,710,717,719,721,722,725,726,728,729,737,740,741,748,750,751,753,754,757,761,762,770,771,773,781,788,789,792,793,797,803,806,809,812,831,834,835,838,840,842,845,855,856,859,861,863,881,883,884,886,890,892,905,908,910,912,914,916,918,921,922,923,933,935,937,946,947,948,952,957,961,965,972,975,977,978,989,997,1002,1007,1008,1014,1015],{"0":116,"1":331,"2":420,"3":524,"4":526,"5":548,"6":574,"7":597,"8":631,"9":649,"10":659,"11":700,"12":732,"13":738,"14":744,"15":746,"16":755,"17":759,"18":769,"19":784,"20":786,"21":800,"22":805,"23":810,"24":811,"25":821,"26":827,"28":848,"29":850,"30":852,"31":862,"33":880,"34":888,"35":901,"36":906,"37":915,"38":968,"39":971,"40":974,"41":987,"42":990},[527,554,555,560,572,577,583,612,618,625,635,647,690,696,718,760,763,774,785,807,822,837,857,869,872,874,889,891,897,932,936,963,964,985,994,1016,1020],[632,634,642,671,685,733,734,758,765,766,816,843,860,871,887,894,898,902,903,909,920,954,958,966,1006,1022],{"0":515,"1":543,"2":679,"3":683,"4":687,"5":735,"6":745,"7":776,"8":846,"11":934,"12":944,"13":950,"14":1009},{"0":522,"1":614,"2":648,"3":681,"4":711,"6":756,"7":832,"8":979,"9":995,"10":1005},[689,853],[]]