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