[{"0":0,"1":1,"2":2,"3":3,"5":6,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"13":16,"14":17,"15":18,"16":19,"17":21,"18":22,"19":25,"21":28,"22":29,"23":30,"25":33,"26":34,"27":35,"28":36,"29":38,"30":39,"31":41,"32":42,"33":44,"34":45,"35":46,"36":48,"37":49,"38":50,"39":51,"40":52,"41":53,"42":54,"43":55,"44":56,"45":57,"47":60,"48":61,"49":62,"50":64,"51":65,"52":66,"53":67,"54":68,"55":69,"56":70,"58":72,"59":73,"60":74,"61":75,"62":76,"63":77,"64":78,"65":79,"66":81,"67":82,"68":83,"69":84,"70":85,"71":86,"72":87,"74":90,"75":91,"76":92,"77":93,"78":94,"79":95,"80":96,"81":97,"82":98,"83":99,"84":101,"85":102,"86":104,"87":105,"88":107,"89":109,"90":110,"91":111,"92":112,"93":113,"94":114,"95":115,"96":116,"97":117,"98":118,"99":119,"100":120,"101":121,"102":122,"105":126,"106":128,"107":130,"108":131,"109":132,"110":133,"112":136,"114":138,"116":140,"117":141,"118":142,"119":143,"120":144,"121":145,"122":147,"123":148,"124":149,"125":150,"126":151,"127":152,"129":154,"130":155,"131":156,"132":157,"133":158,"135":160,"136":161,"137":162,"138":164,"139":165,"140":166,"141":167,"142":168,"143":169,"144":170,"145":171,"146":172,"147":173,"148":174,"149":175,"150":176,"151":177,"152":178,"154":180,"155":181,"157":183,"158":184,"159":186,"160":187,"161":188,"162":189,"163":190,"164":191,"165":192,"166":195,"167":196,"168":197,"169":198,"170":199,"172":201,"173":203,"175":205,"176":206,"177":207,"178":208,"180":210,"181":211,"182":212,"183":214,"184":215,"185":216,"186":217,"187":218,"188":220,"189":221,"190":222,"191":223,"192":224,"193":225,"194":226,"195":227,"196":228,"197":230,"198":231,"199":233,"200":234,"201":236,"202":237,"203":238,"204":240,"205":241,"206":242,"207":243,"208":244,"209":245,"210":246,"211":247,"212":248,"213":249,"214":250,"217":258,"218":259,"219":261,"220":262,"221":263,"222":264,"223":265,"224":266,"226":268,"227":269,"228":270,"229":271,"230":272,"231":273,"232":274,"233":275,"234":277,"235":278,"236":279,"239":282,"240":283,"241":286,"242":287,"243":288,"244":289,"245":291,"246":292,"247":293,"248":294,"249":295,"250":296,"251":297,"252":298,"253":299,"254":300,"256":302,"258":305,"259":306,"260":307,"261":308,"262":309,"263":310,"264":311,"265":312,"266":313,"267":314,"269":316,"270":317,"271":318,"272":319,"273":320,"274":321,"275":322,"276":323,"278":325,"279":326,"280":327,"282":331,"283":332,"284":333,"285":334,"286":336,"287":337,"288":338,"289":339,"290":340,"291":341,"292":343,"293":344,"294":345,"295":348,"296":349,"297":351,"298":352,"299":354,"300":355,"301":356,"302":359,"303":360,"304":362,"305":363,"306":364,"307":365,"308":367,"309":369,"310":370,"311":371,"312":372,"314":376,"316":378,"317":379,"318":380,"320":384,"321":385,"322":387,"323":388,"324":389,"325":390,"326":391,"328":393,"329":394,"330":396,"331":397,"332":398,"333":399,"334":400,"335":401,"336":402,"337":403,"338":404,"339":405,"340":407,"342":409,"343":410,"344":411,"345":412,"346":413,"347":414,"348":415,"349":417,"350":418,"351":420,"353":422,"354":423,"355":424,"356":425,"357":426,"358":428,"359":429,"360":430,"361":432,"362":433,"363":435,"364":436,"365":437,"367":439,"368":441,"369":442,"370":443,"371":444,"373":447,"374":448,"375":449,"376":450,"377":451,"378":453,"379":454,"380":455,"381":458,"382":459,"383":460,"384":461,"385":462,"386":464,"387":465,"388":466,"389":468,"390":469,"391":470,"392":471,"393":472,"394":475,"395":476,"396":477,"397":478,"398":479,"399":480,"400":481,"401":482,"402":483,"403":484,"404":486,"405":488,"406":489,"407":490,"408":491,"409":492,"410":493,"411":494,"412":495,"413":497,"414":498,"415":499,"416":500,"417":501,"418":502,"419":503,"420":504,"421":505,"422":506,"423":515,"425":521,"426":525,"427":531,"428":537,"429":541,"430":569,"431":576,"432":582,"434":599,"435":600,"436":604,"437":612,"438":617,"439":619,"440":629,"441":638,"442":639,"443":654,"444":655,"445":661,"446":662,"447":668,"448":679,"449":682,"450":685,"451":686,"452":690,"453":693,"454":704,"455":708,"456":709,"457":714,"458":721,"459":740,"460":741,"461":742,"462":744,"463":746,"464":754,"465":755,"467":777,"468":780,"469":781,"470":787,"471":789,"472":798,"473":799,"474":805,"475":813,"476":814,"477":833,"478":844,"479":874,"480":883,"481":885,"482":906,"483":910,"484":912,"485":914,"486":918,"487":925,"488":943,"489":945,"490":954,"491":956,"492":959,"493":964,"494":983,"495":987,"496":1007,"497":1010,"498":1014,"499":1019,"500":1021},{"0":14,"1":20,"2":23,"3":24,"4":27,"5":37,"6":40,"7":43,"8":47,"9":58,"10":63,"11":80,"12":88,"13":100,"14":103,"16":108,"17":129,"18":135,"19":146,"20":193,"21":194,"22":213,"23":219,"24":229,"25":232,"26":235,"27":239,"28":253,"29":254,"30":255,"31":260,"32":276,"33":284,"34":285,"35":290,"36":303,"37":328,"38":335,"39":342,"40":347,"41":350,"42":353,"43":357,"44":358,"45":366,"46":368,"47":373,"48":381,"49":383,"50":386,"51":395,"52":406,"53":427,"54":431,"55":434,"56":445,"57":452,"58":456,"59":457,"60":467,"61":473,"62":474,"63":485,"64":487,"65":496,"66":507,"67":508,"68":509,"69":510,"70":511,"71":522,"72":523,"73":524,"74":530,"75":533,"76":536,"77":559,"78":571,"79":573,"80":581,"81":589,"82":601,"83":608,"84":621,"85":627,"86":630,"87":633,"88":634,"89":640,"90":675,"91":676,"92":687,"93":691,"94":695,"95":699,"97":707,"98":711,"99":722,"101":737,"103":748,"104":771,"105":772,"106":774,"107":778,"108":786,"110":797,"111":804,"112":815,"113":818,"114":828,"115":832,"116":845,"117":849,"118":850,"119":852,"120":853,"121":861,"122":868,"123":870,"124":876,"125":900,"126":902,"127":907,"128":908,"129":930,"130":939,"131":940,"132":944,"133":955,"134":961,"135":965,"136":976,"137":978,"138":982,"139":990,"140":993,"141":999,"142":1004,"143":1009},{"0":5,"1":13,"2":32,"3":124,"4":127,"5":163,"6":185,"7":202,"8":251,"9":252,"10":330,"11":346,"12":361,"13":375,"14":416,"15":419,"16":440,"17":463,"18":529,"19":564,"20":594,"21":597,"22":602,"23":611,"24":622,"25":637,"26":643,"27":673,"28":694,"29":698,"31":726,"33":776,"34":803,"35":823,"36":827,"37":846,"38":873,"39":879,"40":884,"41":891,"42":922,"43":926,"44":953,"45":989,"46":997,"47":1003},{"0":512,"1":517,"2":527,"3":532,"5":542,"6":544,"7":549,"8":553,"9":558,"10":580,"11":584,"12":588,"13":607,"14":616,"15":631,"16":632,"17":644,"18":667,"19":670,"20":678,"21":712,"22":717,"23":728,"24":753,"25":792,"26":795,"27":800,"28":820,"29":825,"30":829,"32":834,"33":841,"34":851,"35":903,"37":919,"38":942,"40":951,"41":958,"42":967,"43":979,"44":1017},[519,526,546,563,578,579,635,656,669,671,723,725,745,758,767,773,779,782,791,812,824,826,857,890,894,896,916,937,938,946,962,980,986,996,1006,1011],[548,568,613,642,649,710,716,750,770,794,808,809,816,835,847,867,880,928,931,941,1015,1022],{"0":540,"1":557,"3":701,"4":731,"5":747,"6":762,"7":765,"8":783,"9":817,"10":821,"11":858,"12":897,"13":920,"14":921,"15":950,"16":957},{"0":539,"1":618,"3":663,"4":681,"5":706,"6":732,"8":862,"9":892,"10":899,"11":1020},{"1":715,"2":759,"3":788,"4":971,"5":972},{"0":518,"1":666,"2":734,"4":877,"6":966,"7":998},{"0":538,"1":545,"2":554,"4":625,"5":626,"6":768,"7":848,"9":904},{"0":595,"1":606,"2":769,"3":859,"5":936,"6":947,"7":973},{"0":610,"1":620,"2":628,"4":729,"5":730,"6":802,"7":871,"8":872,"9":932,"10":994},{"1":652,"2":801,"3":863,"4":927,"5":933,"6":995,"7":1016},[598,645,702,889,975],[648,743,751,881],[615,806,866],[764,901],[570,837],[528,614,963],[839],[969],[572],[1013],[680],[688],[650],[647],[560,893,1000],[760,882,1008],[672,684],[513,905,915],[592,665,888,1012],[590,692,822],[603,689,960],[596,819,843],[552,660,749,785,887],[591,593,974,1002],[646,727,952,984],[653,720,735,830,864,991],[574,719,875,924,1001],[624,775,836],[566,651,886],[854,968],[567,736,811,948],[547,609,636,855],[562,657,977],[840,860,878],[551,895,992],[561,929],[761],[586,1018],[674,1005],[703,796,970],[577,696],[583,807],[605,923],[550,793],[739],[534,909,988],[658,756],[677,718,856,869],[520,865,934,935],[664],[697,838],[543,587,784],[514,705,1023],[842],[981],[565,766],[641],[713]]