[{"0":0,"1":1,"3":3,"4":4,"5":5,"6":6,"7":7,"8":8,"9":9,"11":11,"12":12,"13":14,"14":16,"15":17,"16":19,"17":20,"18":21,"19":22,"20":23,"21":24,"22":25,"23":26,"24":27,"25":28,"26":30,"27":33,"28":34,"29":35,"30":36,"31":37,"32":38,"33":41,"34":42,"35":43,"36":44,"37":45,"38":46,"39":47,"41":49,"42":50,"43":51,"44":53,"46":55,"47":56,"48":57,"49":58,"50":59,"51":60,"52":61,"53":62,"54":63,"55":65,"56":66,"57":67,"58":68,"59":69,"60":71,"61":72,"62":73,"63":74,"64":75,"65":76,"66":77,"67":78,"68":79,"69":80,"70":81,"71":82,"72":84,"73":85,"74":86,"75":88,"76":89,"77":91,"78":92,"79":93,"80":95,"81":97,"82":98,"83":99,"84":100,"85":101,"86":102,"87":103,"88":105,"89":106,"90":107,"91":108,"92":109,"93":110,"94":111,"95":112,"96":113,"97":114,"98":115,"99":116,"100":117,"101":118,"102":119,"103":120,"104":121,"105":122,"106":124,"107":126,"108":128,"109":129,"110":130,"111":131,"112":132,"113":133,"114":134,"115":135,"116":136,"117":139,"118":140,"119":141,"120":142,"121":143,"122":144,"123":145,"124":146,"125":147,"126":148,"127":150,"129":152,"130":154,"131":155,"132":156,"133":157,"134":158,"135":159,"137":161,"138":162,"139":163,"140":164,"141":165,"142":166,"143":167,"144":168,"145":169,"146":171,"147":173,"148":174,"149":175,"150":177,"151":178,"152":179,"153":180,"154":181,"155":182,"156":183,"157":184,"158":185,"159":186,"160":187,"161":188,"162":189,"163":190,"164":191,"165":193,"166":194,"167":195,"168":196,"169":197,"170":198,"171":199,"172":200,"173":202,"174":203,"175":204,"176":205,"177":206,"178":207,"179":208,"180":209,"181":210,"182":211,"183":212,"184":213,"185":214,"186":215,"187":216,"188":217,"189":218,"190":219,"191":220,"192":221,"193":222,"194":257,"195":258,"196":259,"197":260,"198":261,"199":262,"200":263,"201":265,"202":266,"203":267,"204":268,"205":269,"206":270,"207":271,"208":272,"209":273,"210":274,"211":275,"212":276,"213":277,"214":278,"215":279,"216":281,"217":282,"218":285,"219":286,"220":287,"221":289,"222":290,"223":291,"224":292,"225":293,"226":294,"227":295,"228":296,"229":297,"230":298,"231":299,"232":300,"233":301,"234":303,"235":304,"236":305,"237":307,"238":308,"239":309,"240":310,"242":312,"243":314,"244":315,"246":317,"247":318,"248":319,"249":321,"250":322,"251":324,"252":325,"253":326,"254":327,"255":328,"256":329,"257":330,"258":331,"259":332,"260":333,"261":334,"262":335,"263":336,"264":337,"265":339,"266":340,"267":341,"268":342,"269":343,"270":344,"271":345,"272":347,"273":349,"274":350,"275":351,"276":352,"277":353,"278":355,"279":356,"280":359,"282":361,"283":362,"284":363,"285":364,"286":365,"287":366,"288":367,"289":368,"290":369,"291":370,"293":372,"294":373,"295":374,"296":375,"297":376,"298":377,"299":378,"300":379,"301":380,"302":381,"303":382,"304":384,"305":385,"306":386,"307":388,"308":389,"309":390,"310":393,"311":394,"312":395,"313":396,"314":397,"315":398,"316":399,"317":400,"318":401,"319":402,"320":403,"321":405,"322":406,"323":407,"325":409,"326":410,"327":411,"328":414,"329":415,"330":416,"331":417,"332":418,"333":419,"334":420,"335":421,"336":423,"338":425,"339":426,"340":427,"341":428,"342":429,"343":430,"344":431,"345":432,"346":433,"347":434,"348":435,"349":438,"350":439,"351":440,"352":441,"353":442,"354":443,"355":444,"356":445,"357":447,"358":448,"359":449,"360":450,"361":453,"362":454,"363":455,"364":456,"365":457,"366":459,"367":460,"368":461,"369":462,"370":464,"371":465,"372":466,"373":467,"374":468,"375":469,"376":470,"378":472,"379":473,"380":475,"381":476,"382":477,"383":478,"384":522,"385":533,"386":545,"387":546,"388":563,"389":568,"390":569,"391":573,"392":575,"393":599,"394":600,"395":602,"396":612,"397":619,"398":642,"399":648,"400":651,"401":654,"402":657,"403":659,"404":666,"405":673,"406":677,"407":681,"408":693,"409":695,"410":712,"411":716,"412":723,"413":743,"414":751,"415":755,"416":757,"417":761,"418":763,"419":774,"420":778,"421":782,"422":789,"423":791,"424":800,"425":801,"426":808,"427":816,"428":819,"429":824,"430":843,"431":854,"432":866,"433":873,"434":880,"435":894,"436":922,"437":925,"438":937,"439":939,"440":940,"442":954,"443":971,"444":976,"445":982,"446":985,"447":988,"448":994,"449":1023},{"0":13,"1":15,"2":18,"3":29,"4":31,"5":32,"6":39,"7":40,"8":64,"9":70,"10":83,"11":87,"12":90,"13":94,"14":96,"15":104,"16":123,"17":125,"18":127,"19":137,"20":149,"21":153,"22":170,"23":172,"24":192,"25":201,"26":223,"27":224,"28":225,"29":226,"30":227,"31":228,"32":229,"33":231,"34":232,"35":233,"36":234,"37":235,"38":236,"39":237,"40":238,"41":239,"42":241,"43":242,"44":243,"45":244,"46":245,"47":246,"48":248,"49":249,"50":252,"51":253,"52":254,"53":255,"54":256,"55":264,"56":280,"57":283,"58":284,"59":288,"61":306,"62":313,"63":320,"64":323,"65":338,"66":346,"67":348,"68":354,"69":357,"70":358,"71":383,"72":391,"73":392,"74":404,"75":412,"76":422,"77":436,"78":437,"79":446,"80":451,"81":452,"82":458,"83":463,"84":474,"85":479,"86":480,"87":481,"88":482,"89":483,"90":484,"91":485,"92":486,"93":487,"94":488,"95":489,"96":490,"97":491,"98":492,"99":493,"100":495,"101":496,"102":497,"103":499,"104":500,"105":501,"106":503,"107":504,"108":505,"109":506,"110":508,"111":509,"112":510,"113":511,"114":515,"115":516,"116":519,"117":540,"118":542,"119":548,"120":549,"121":552,"122":554,"123":555,"124":557,"125":560,"126":561,"127":566,"128":567,"129":583,"130":586,"131":592,"132":605,"133":609,"134":614,"135":615,"136":617,"137":620,"138":628,"139":630,"140":632,"141":641,"142":643,"143":650,"144":661,"145":663,"146":664,"147":670,"148":678,"149":683,"150":690,"151":691,"152":696,"153":699,"154":702,"155":704,"156":707,"157":708,"158":717,"159":721,"160":729,"161":734,"162":736,"163":739,"164":747,"165":759,"166":767,"167":771,"168":786,"169":809,"170":810,"171":822,"172":835,"173":837,"174":838,"175":839,"176":840,"177":841,"178":847,"179":852,"180":855,"181":858,"182":859,"184":867,"185":871,"186":874,"187":884,"188":885,"189":890,"190":893,"191":895,"192":899,"193":900,"194":906,"195":909,"196":920,"197":926,"198":927,"199":934,"200":943,"201":945,"202":946,"203":953,"204":957,"205":960,"206":962,"207":963,"208":970,"209":981,"210":983,"211":987,"212":991,"213":996,"214":1000,"215":1009,"216":1011,"217":1017,"218":1021},{"0":52,"1":138,"2":176,"3":230,"4":240,"5":247,"6":250,"7":251,"8":387,"9":413,"10":498,"11":502,"12":507,"13":514,"14":518,"15":527,"16":532,"17":539,"18":544,"19":588,"20":593,"21":604,"22":606,"23":607,"24":627,"25":638,"26":682,"27":684,"28":688,"29":692,"30":725,"31":731,"32":737,"33":742,"34":754,"35":765,"36":766,"37":772,"38":773,"39":781,"40":783,"42":804,"43":818,"44":851,"46":892,"47":918,"48":923,"49":936,"50":938,"51":942,"52":949,"53":951,"54":955,"55":961,"56":995,"57":998,"58":1005,"59":1013,"60":1014,"61":1020},[494,543,559,571,574,578,584,685,686,703,718,748,775,780,811,817,834,863,928,944,974,975,986,1004,1010,1012,1016],{"0":513,"1":672,"2":676,"3":700,"4":706,"5":790,"7":820,"8":872,"9":887,"10":978,"11":1018},[689,709,714,788,802,807,830,968],[525,565,792,815,828,829,853,910],[524,528,537,660,674,907,973],[658,879],[570,902,972],[550,753,825],[611,857,1006],[529,730,826],[616,649,919],[558,594,741,803,904],[639,665,671,805,860,917,956,979],[613,732,845],[512,728,966],[585,624,756,768,877,969],[888,916,950],[608,776],[576,662,989],[590,610,832,846,935],[669,856,869,967,999],[746,779,929,931],[587,591],[562,652,794,903],[547,622,905,915,993,997],[680,724,735,764],[596,745,833],[601,711,740],[726,898,913],[635,698,744,842],[521,523,551,876],[579,656,668,720,1001],[564,733,827],[589,626,836,1022],[577,861,881,908,980],[758,933,958,1007],[553,645,719,762,812,886,911],[556,595,694,889],[770,787,793,1002],[631,760],[538,541,598,655,848,868],[653,701,984,1015],[531,625,633,882,914],[621,634,750,844],[823,959,1008],[520,705,965,1019],[932,990],[572,798,901,930],[713,749,831,912,977],[799,896,952],[530,777,785,849],[526,924,964],[697,797],[517,637,687],[813,864],[715],[597,947],[897],[646],[534,891],[535,580,679],[603],[769],[992],[640,644,796,948],[636,722],[862],[582,618,883],[675,806],[727,738,784,1003],[710,752,821],[850],[647,870],[536],[581,921],[623,667],[629],[875]]