[{"0":0,"1":1,"2":2,"3":3,"4":5,"5":6,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"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":40,"38":41,"39":42,"40":43,"41":44,"42":45,"43":46,"44":47,"45":48,"46":49,"47":50,"48":51,"49":52,"50":53,"51":54,"52":55,"53":56,"54":57,"55":58,"56":59,"57":60,"58":61,"60":63,"61":64,"62":65,"63":66,"64":67,"65":68,"66":69,"67":70,"68":71,"69":72,"70":73,"71":74,"72":75,"73":76,"74":77,"75":79,"76":80,"77":81,"78":82,"79":83,"80":84,"81":85,"82":86,"83":87,"84":88,"85":89,"86":90,"87":91,"88":92,"89":93,"90":95,"91":96,"92":97,"93":98,"94":99,"95":100,"97":103,"98":104,"99":105,"100":106,"101":107,"102":108,"103":109,"104":110,"105":111,"106":112,"107":113,"108":115,"109":116,"110":117,"111":118,"112":120,"113":121,"114":122,"115":123,"116":124,"117":125,"118":126,"119":127,"120":129,"121":131,"122":132,"123":133,"124":134,"125":135,"126":136,"128":139,"130":141,"131":142,"132":143,"133":144,"134":145,"135":146,"136":147,"137":148,"138":149,"139":150,"140":151,"141":152,"142":153,"143":154,"144":155,"145":156,"146":157,"147":159,"148":160,"149":161,"150":162,"151":163,"152":164,"153":165,"154":166,"155":167,"156":168,"157":169,"158":170,"159":171,"160":172,"161":173,"162":175,"163":176,"164":177,"165":178,"166":179,"167":180,"168":181,"169":182,"170":183,"171":184,"172":185,"173":186,"174":188,"175":189,"176":190,"177":191,"178":192,"179":193,"180":194,"181":195,"182":196,"183":197,"184":198,"185":199,"186":200,"187":201,"188":202,"189":203,"190":204,"191":205,"192":206,"193":207,"194":209,"195":210,"196":211,"197":212,"198":213,"199":214,"201":216,"202":217,"203":219,"204":220,"206":222,"207":223,"208":224,"210":226,"211":227,"212":228,"213":230,"214":231,"215":232,"216":233,"217":234,"218":235,"219":236,"220":237,"221":238,"222":239,"223":240,"224":241,"225":242,"226":243,"227":244,"228":245,"229":246,"230":247,"231":248,"232":249,"233":250,"234":251,"235":252,"236":253,"237":254,"238":255,"239":256,"240":257,"241":258,"242":259,"243":260,"244":261,"245":262,"246":263,"247":264,"248":265,"249":266,"250":270,"251":272,"252":273,"253":274,"254":275,"255":276,"256":277,"257":278,"258":279,"259":280,"260":281,"261":282,"262":283,"263":284,"264":285,"265":286,"266":287,"267":288,"268":289,"269":291,"270":292,"271":293,"272":294,"273":295,"274":296,"275":297,"276":298,"277":299,"278":300,"279":301,"280":302,"281":303,"282":304,"283":306,"284":307,"285":308,"286":309,"287":310,"288":312,"289":313,"290":314,"291":315,"292":316,"293":317,"294":318,"295":319,"296":320,"297":321,"299":323,"300":324,"301":325,"302":326,"303":327,"304":328,"305":329,"306":331,"307":332,"308":333,"309":334,"310":335,"311":337,"312":338,"313":339,"314":340,"315":341,"316":342,"317":343,"318":345,"319":346,"320":347,"321":348,"322":349,"323":350,"324":351,"325":352,"326":353,"327":354,"328":355,"329":357,"330":358,"331":360,"332":361,"333":362,"334":363,"335":364,"336":365,"337":366,"338":367,"339":368,"340":369,"341":370,"342":371,"343":372,"344":373,"345":374,"346":375,"347":376,"348":378,"349":379,"350":380,"351":381,"352":382,"353":383,"354":384,"355":385,"356":386,"357":387,"359":389,"360":390,"361":391,"362":392,"364":394,"365":395,"366":396,"367":397,"368":398,"369":399,"370":400,"371":401,"372":402,"373":403,"374":404,"375":405,"376":406,"377":408,"378":409,"379":410,"380":411,"381":412,"382":413,"383":414,"384":415,"385":416,"386":417,"387":418,"388":419,"389":420,"390":421,"391":422,"392":423,"393":424,"394":425,"395":427,"396":428,"397":429,"398":430,"399":431,"400":432,"401":433,"402":434,"403":435,"404":436,"406":439,"407":440,"409":442,"410":443,"411":445,"412":446,"413":447,"414":448,"415":449,"416":450,"417":451,"418":452,"419":453,"420":454,"421":455,"422":456,"423":457,"424":458,"425":459,"426":460,"427":461,"428":462,"429":463,"430":464,"431":465,"432":467,"433":468,"434":469,"435":470,"436":471,"437":472,"438":473,"439":474,"440":475,"441":476,"442":478,"443":479,"444":480,"445":481,"446":482,"447":483,"448":484,"449":485,"450":486,"451":487,"452":488,"453":489,"454":490,"455":491,"456":492,"457":493,"458":494,"459":496,"460":497,"461":498,"462":499,"463":500,"464":501,"465":503,"466":504,"467":505,"468":506,"469":508,"470":509,"471":510,"472":511,"473":512,"474":513,"475":514,"476":516,"477":517,"478":520,"479":521,"480":523,"481":529,"482":532,"483":533,"484":534,"485":535,"486":536,"487":537,"488":540,"489":542,"490":544,"491":545,"492":546,"493":548,"494":551,"495":552,"496":554,"497":556,"498":560,"499":564,"500":565,"501":568,"502":570,"503":572,"504":574,"505":575,"506":576,"507":578,"508":579,"509":580,"510":581,"511":583,"512":586,"513":587,"514":590,"515":592,"516":594,"517":595,"518":597,"519":599,"520":600,"521":601,"522":602,"523":604,"524":605,"525":608,"526":610,"527":612,"528":615,"529":616,"530":618,"531":619,"532":623,"533":624,"534":626,"535":630,"536":632,"537":634,"538":637,"539":638,"540":639,"541":640,"542":641,"543":644,"544":646,"545":648,"546":652,"547":655,"548":656,"549":657,"550":658,"551":659,"552":660,"553":664,"554":666,"555":669,"556":671,"557":673,"558":679,"559":681,"560":682,"561":686,"562":687,"563":688,"564":689,"565":693,"566":695,"567":696,"568":697,"569":699,"570":700,"571":701,"572":704,"573":705,"574":710,"575":711,"576":712,"577":713,"578":714,"579":717,"580":720,"581":722,"582":723,"583":724,"584":725,"585":726,"586":729,"587":730,"588":736,"589":739,"590":740,"591":743,"592":744,"593":745,"594":749,"595":751,"596":754,"597":755,"598":756,"599":757,"600":760,"601":762,"602":763,"603":765,"604":766,"605":769,"606":773,"607":774,"608":775,"609":776,"610":777,"611":778,"612":779,"613":781,"614":783,"615":784,"616":785,"617":792,"618":793,"619":794,"620":796,"621":799,"622":800,"623":802,"624":803,"625":807,"626":809,"627":810,"628":813,"629":815,"630":816,"631":817,"632":818,"633":819,"634":822,"635":828,"636":829,"637":830,"638":831,"639":832,"641":836,"642":841,"643":842,"644":843,"645":844,"646":846,"647":848,"648":850,"649":853,"650":854,"651":858,"652":859,"653":860,"654":864,"655":865,"656":867,"657":868,"658":873,"659":877,"660":879,"661":880,"662":881,"663":885,"664":888,"665":890,"666":894,"667":896,"668":899,"669":902,"670":903,"671":915,"672":916,"673":917,"674":919,"675":923,"676":924,"677":929,"678":932,"679":933,"680":935,"681":937,"682":940,"683":941,"684":943,"685":945,"686":947,"687":948,"688":949,"689":950,"690":951,"691":954,"692":958,"693":959,"694":966,"695":972,"696":973,"697":975,"698":976,"699":981,"700":983,"701":984,"702":985,"703":986,"704":988,"705":990,"706":992,"707":993,"708":994,"709":995,"710":997,"711":998,"712":1001,"713":1003,"714":1004,"715":1005,"716":1006,"717":1010,"718":1012,"719":1014,"720":1016,"721":1017,"722":1019,"723":1020,"724":1021,"725":1022,"726":1023},[4,13,39,78,94,102,114,119,128,130,137,158,174,187,208,218,229,267,268,269,271,290,305,311,330,336,344,356,359,377,407,426,437,444,466,477,495,502,507,518,525,527,539,541,553,558,559,562,567,569,577,582,584,588,591,598,609,611,614,620,621,622,629,631,643,647,649,651,653,661,667,668,670,674,676,684,691,698,702,708,718,727,732,734,741,761,764,767,768,771,772,789,795,801,812,821,824,825,837,839,847,851,862,863,870,874,875,876,878,882,886,887,889,892,895,904,909,910,911,912,918,921,927,934,938,939,953,956,960,961,968,970,974,977,978,980,982,987,989,1008,1011,1018],[526,530,538,550,555,571,585,589,606,607,613,627,633,635,636,662,677,680,683,685,703,707,709,715,716,733,735,738,747,748,750,758,770,780,782,788,790,797,814,826,827,845,852,857,861,883,884,893,898,905,906,913,922,925,942,952,957,962,967,969,979,996,1002,1009,1013,1015],{"0":528,"1":531,"2":543,"3":547,"4":549,"5":561,"6":593,"7":596,"9":617,"10":642,"11":645,"12":654,"13":672,"14":690,"15":692,"16":719,"17":728,"18":731,"19":746,"20":752,"21":759,"22":786,"23":791,"24":804,"25":805,"26":806,"27":808,"28":811,"29":834,"30":838,"31":849,"32":855,"33":856,"34":866,"35":869,"36":891,"37":926,"38":930,"39":936,"40":944,"41":946,"42":963,"43":991,"44":1000},[519,522,563,566,628,663,665,678,694,706,721,737,753,787,798,820,823,833,840,871,900,914,920,928,931,964,965,971],[515,524,557,625,675,872,897,901,907,955,999,1007],[573,908],[]]