[{"0":0,"1":1,"2":3,"3":4,"4":5,"5":7,"6":8,"7":9,"8":10,"9":11,"10":12,"11":13,"12":14,"13":15,"14":18,"15":19,"16":20,"17":22,"18":24,"19":25,"20":26,"21":27,"22":28,"23":29,"24":31,"25":32,"26":34,"27":35,"28":36,"29":37,"30":38,"31":39,"32":42,"33":43,"34":44,"35":45,"36":46,"37":48,"40":51,"41":52,"42":53,"43":55,"44":56,"45":57,"46":58,"47":59,"48":60,"49":61,"50":63,"51":64,"52":66,"53":67,"54":68,"55":69,"56":70,"57":71,"58":72,"59":73,"60":74,"61":75,"62":76,"63":77,"64":78,"65":79,"66":83,"67":84,"68":85,"69":86,"70":87,"71":88,"72":89,"73":90,"74":91,"75":92,"76":93,"77":94,"78":95,"79":96,"80":97,"81":98,"82":100,"83":101,"84":102,"85":103,"86":104,"87":105,"88":106,"89":107,"90":108,"91":109,"92":110,"93":111,"94":112,"95":113,"96":114,"97":115,"98":116,"99":117,"100":118,"101":120,"102":121,"103":122,"104":123,"105":124,"106":125,"107":126,"108":127,"109":128,"110":129,"111":131,"112":132,"113":133,"114":134,"115":135,"116":136,"117":137,"118":138,"119":139,"120":140,"121":141,"122":143,"123":144,"124":145,"125":147,"126":148,"127":149,"128":150,"129":151,"130":152,"131":154,"132":155,"133":156,"134":157,"135":158,"136":159,"137":160,"138":161,"139":162,"140":163,"141":164,"142":165,"143":166,"144":167,"145":168,"146":169,"147":170,"148":171,"149":172,"150":173,"151":174,"152":176,"153":177,"154":178,"155":180,"156":181,"157":183,"158":184,"159":185,"160":186,"161":187,"162":188,"163":190,"164":191,"165":192,"166":195,"167":196,"168":197,"169":198,"170":199,"171":200,"172":201,"173":202,"174":203,"175":205,"176":206,"177":207,"178":208,"179":209,"180":211,"181":213,"182":214,"183":215,"184":217,"185":218,"186":219,"187":220,"188":221,"189":222,"190":223,"191":224,"192":226,"193":230,"194":231,"195":232,"196":233,"197":234,"198":235,"199":238,"200":240,"201":241,"202":242,"203":243,"204":244,"205":245,"206":246,"207":247,"208":248,"209":249,"210":250,"211":251,"212":253,"213":254,"214":255,"215":256,"216":257,"217":258,"218":259,"219":260,"220":261,"221":262,"222":265,"223":266,"224":268,"225":269,"226":270,"227":271,"228":272,"229":273,"230":274,"231":275,"232":277,"233":279,"234":280,"235":281,"236":283,"237":284,"238":285,"239":286,"240":287,"241":288,"242":289,"243":290,"244":291,"245":292,"246":293,"247":294,"248":295,"249":296,"250":298,"251":299,"252":300,"253":301,"254":302,"255":303,"256":304,"257":305,"258":306,"259":307,"260":308,"261":309,"263":311,"264":312,"265":313,"266":314,"267":315,"268":316,"269":317,"270":318,"271":319,"272":320,"273":322,"274":323,"275":325,"276":326,"277":328,"278":331,"279":332,"280":333,"281":334,"282":335,"283":336,"284":337,"285":338,"286":339,"287":340,"288":341,"289":342,"290":344,"291":345,"292":346,"293":347,"294":348,"295":349,"296":350,"297":351,"298":353,"299":354,"300":355,"301":356,"302":357,"303":358,"304":359,"305":360,"306":361,"307":362,"308":363,"309":364,"310":365,"311":366,"312":367,"313":368,"314":369,"315":370,"316":371,"317":372,"318":373,"319":374,"320":375,"321":377,"322":379,"323":380,"324":381,"325":382,"326":383,"327":384,"328":385,"329":386,"330":387,"331":388,"332":389,"333":390,"334":392,"335":393,"336":394,"337":395,"338":397,"339":398,"340":400,"341":401,"342":402,"343":404,"344":405,"345":406,"346":408,"347":409,"348":410,"349":412,"350":413,"351":414,"352":415,"353":416,"354":417,"355":418,"356":419,"357":420,"358":421,"359":422,"360":423,"361":424,"362":425,"363":427,"364":428,"365":430,"366":431,"367":432,"368":433,"369":434,"370":435,"371":436,"372":437,"373":439,"374":440,"375":441,"376":442,"377":443,"378":444,"379":445,"380":446,"381":449,"382":450,"383":451,"384":454,"385":456,"386":457,"387":458,"388":459,"389":460,"390":462,"391":463,"392":464,"393":465,"394":467,"395":468,"396":469,"397":471,"398":473,"399":474,"400":475,"401":476,"402":477,"403":478,"404":479,"405":480,"406":481,"407":482,"408":483,"409":484,"410":485,"411":486,"412":487,"413":488,"414":489,"415":491,"416":492,"417":493,"418":495,"419":496,"420":497,"421":498,"422":499,"423":500,"424":501,"425":502,"426":503,"427":504,"428":505,"429":506,"430":507,"431":508,"432":509,"433":511,"434":513,"435":515,"436":516,"437":518,"438":519,"439":520,"440":521,"441":522,"442":524,"443":529,"444":534,"445":537,"446":538,"447":542,"448":543,"449":544,"450":547,"451":548,"452":550,"453":552,"454":557,"455":559,"456":561,"457":562,"458":563,"459":566,"460":567,"461":568,"462":571,"463":573,"464":575,"465":577,"466":580,"467":582,"468":583,"469":584,"470":585,"471":588,"472":590,"473":591,"474":592,"475":594,"476":599,"477":600,"478":601,"479":602,"480":605,"481":606,"482":607,"483":610,"484":612,"485":613,"486":614,"487":615,"488":616,"489":621,"490":622,"491":623,"492":624,"493":625,"494":626,"495":628,"496":630,"497":631,"498":633,"499":634,"500":635,"501":639,"502":640,"503":641,"504":643,"505":645,"506":649,"507":651,"508":652,"509":653,"510":662,"511":663,"512":664,"513":668,"514":670,"515":672,"516":674,"517":678,"518":680,"519":681,"520":683,"521":685,"522":686,"523":687,"524":688,"525":689,"526":690,"527":696,"528":697,"529":700,"530":705,"531":709,"532":711,"533":712,"534":713,"535":714,"536":716,"537":718,"538":719,"539":720,"540":722,"541":723,"542":724,"543":725,"544":726,"545":728,"546":731,"547":733,"548":737,"549":740,"550":744,"551":745,"552":746,"553":749,"554":750,"555":751,"556":753,"557":755,"558":757,"559":758,"560":760,"561":761,"562":762,"563":763,"564":765,"565":767,"566":768,"567":769,"568":771,"569":774,"570":776,"571":778,"572":779,"573":780,"574":781,"575":782,"576":783,"577":784,"578":785,"579":786,"580":788,"581":789,"582":792,"583":795,"584":797,"585":799,"586":800,"587":801,"588":802,"589":803,"590":805,"591":807,"592":808,"593":810,"594":812,"595":814,"596":815,"597":817,"598":818,"599":822,"600":830,"601":831,"602":833,"603":835,"604":836,"605":837,"606":838,"607":840,"608":841,"609":842,"610":844,"611":845,"612":847,"613":848,"614":849,"615":850,"616":851,"617":852,"618":853,"619":855,"620":856,"621":857,"622":859,"623":860,"624":862,"625":863,"626":864,"627":866,"628":868,"629":870,"630":871,"631":873,"632":878,"633":880,"634":881,"635":885,"636":888,"637":892,"638":893,"639":894,"640":897,"641":898,"642":902,"643":903,"644":908,"645":910,"646":913,"647":916,"648":917,"649":919,"650":920,"651":924,"652":928,"653":929,"654":930,"655":931,"656":932,"657":933,"658":934,"659":938,"660":939,"661":945,"662":947,"663":948,"664":949,"665":951,"666":953,"667":954,"668":956,"669":957,"670":961,"671":962,"672":963,"673":964,"674":965,"675":966,"676":968,"677":969,"678":971,"679":973,"680":975,"681":976,"682":977,"683":980,"684":981,"685":985,"686":986,"687":987,"688":988,"689":991,"690":992,"691":995,"692":996,"693":997,"694":998,"695":1000,"696":1001,"697":1002,"698":1008,"699":1011,"700":1013,"701":1014,"702":1016,"703":1017,"704":1018,"705":1019,"706":1020,"707":1021,"708":1022,"709":1023},[2,6,16,17,21,30,33,40,41,47,54,62,65,80,81,82,99,130,142,146,153,175,179,182,193,194,204,225,227,228,229,236,237,263,264,267,276,278,282,297,321,324,327,329,343,352,376,378,391,396,399,403,407,411,426,438,447,448,452,453,455,461,466,470,472,490,494,510,512,514,517,525,526,527,528,530,531,532,535,536,539,540,545,546,549,554,556,558,560,564,565,569,570,572,576,578,579,581,595,604,608,609,611,617,618,620,629,636,637,638,642,644,646,647,648,650,654,655,656,657,659,660,665,666,669,671,673,675,677,679,682,691,692,693,694,698,701,702,704,706,707,708,710,715,717,721,727,729,730,736,738,741,742,747,748,752,754,756,759,766,770,772,773,775,777,787,790,791,793,796,806,811,813,816,819,824,826,827,829,832,834,839,843,846,854,858,865,869,872,874,875,877,882,883,886,887,890,891,895,896,899,900,904,907,909,911,912,914,915,918,921,922,923,925,926,927,935,936,937,940,942,943,944,950,952,955,958,960,967,970,972,974,978,979,982,983,984,989,994,999,1003,1005,1006,1007,1009,1010,1012,1015],{"0":23,"1":210,"2":212,"3":216,"4":239,"5":252,"6":330,"7":429,"8":523,"9":533,"10":541,"11":551,"12":553,"13":555,"14":586,"15":587,"16":589,"17":593,"18":596,"19":597,"20":603,"21":632,"22":658,"23":661,"24":667,"25":676,"26":695,"27":699,"28":703,"29":732,"31":739,"32":764,"33":794,"34":804,"35":809,"36":820,"37":821,"38":828,"39":867,"40":884,"41":889,"42":905,"43":941,"44":946,"45":959,"46":990,"47":993,"48":1004},{"0":119,"1":189,"2":574,"4":627,"5":735,"6":743,"7":798,"8":823,"9":825,"10":876,"11":879,"12":901,"13":906},[619,684,861]]