[{"0":0,"1":1,"2":2,"3":3,"4":5,"5":6,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"13":14,"14":15,"15":16,"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,"31":33,"32":34,"33":35,"34":36,"35":37,"36":38,"37":39,"38":40,"40":42,"41":43,"42":44,"43":45,"44":46,"45":47,"46":48,"47":49,"48":50,"49":51,"50":52,"51":53,"52":54,"53":55,"54":56,"55":57,"57":59,"58":60,"59":61,"60":62,"61":63,"62":64,"63":65,"64":66,"65":67,"66":68,"67":69,"68":70,"70":72,"71":73,"72":75,"74":77,"75":78,"76":79,"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":94,"91":95,"92":96,"93":97,"94":98,"95":99,"96":101,"97":102,"98":103,"99":104,"100":105,"101":106,"102":107,"103":108,"104":109,"106":111,"108":113,"109":114,"110":115,"111":116,"113":118,"114":119,"115":120,"116":121,"117":122,"118":123,"120":125,"121":126,"122":127,"123":128,"124":129,"125":130,"126":131,"127":132,"128":133,"129":134,"130":135,"131":136,"132":137,"133":138,"134":139,"135":140,"136":141,"137":142,"138":143,"139":144,"140":145,"141":146,"142":147,"143":148,"144":149,"145":150,"146":151,"147":152,"148":153,"149":154,"150":155,"151":156,"152":157,"153":158,"154":159,"155":161,"156":162,"158":164,"159":165,"160":166,"161":167,"162":168,"163":169,"164":170,"165":171,"166":172,"167":173,"168":174,"170":176,"171":177,"172":179,"173":180,"174":181,"175":182,"177":184,"178":185,"179":186,"180":187,"181":188,"182":189,"184":191,"185":192,"186":193,"188":197,"189":198,"190":199,"191":200,"192":201,"193":202,"195":204,"196":205,"197":206,"198":207,"199":208,"200":210,"201":211,"202":213,"203":214,"204":215,"205":216,"206":217,"207":218,"208":219,"209":220,"210":221,"213":224,"214":225,"215":226,"216":227,"217":228,"218":229,"219":230,"220":231,"221":232,"222":233,"223":234,"224":235,"225":236,"226":237,"227":239,"228":240,"229":241,"230":242,"231":243,"232":244,"233":245,"234":246,"235":247,"236":248,"237":249,"238":250,"239":251,"240":252,"241":254,"242":255,"243":258,"245":260,"246":261,"247":262,"248":264,"249":265,"250":267,"251":268,"252":269,"253":270,"254":271,"255":272,"256":273,"257":274,"258":275,"259":276,"260":277,"261":278,"262":279,"263":280,"264":281,"265":282,"266":283,"267":284,"268":285,"269":286,"270":287,"271":288,"272":289,"273":290,"274":291,"275":292,"276":293,"277":294,"281":299,"282":300,"283":301,"284":302,"285":303,"286":304,"287":305,"288":306,"289":307,"290":308,"291":309,"292":310,"293":311,"295":313,"296":314,"297":315,"298":316,"299":317,"300":318,"302":320,"303":321,"304":322,"305":323,"306":324,"307":325,"308":326,"309":327,"310":328,"311":329,"312":330,"313":332,"314":333,"315":334,"316":335,"317":336,"318":337,"319":338,"321":340,"322":341,"323":342,"324":343,"325":344,"326":345,"327":347,"328":348,"329":349,"330":350,"331":351,"332":352,"333":353,"334":354,"335":355,"336":356,"337":357,"338":358,"339":359,"340":360,"341":361,"342":362,"343":363,"344":364,"345":365,"346":366,"347":367,"348":368,"349":369,"350":370,"351":371,"352":372,"353":373,"354":374,"356":377,"357":378,"358":379,"359":380,"360":381,"361":382,"362":383,"363":384,"364":385,"366":387,"367":388,"368":389,"369":391,"370":392,"371":393,"372":394,"373":395,"374":396,"375":397,"376":398,"377":399,"378":400,"379":401,"380":402,"381":403,"382":404,"384":406,"385":407,"386":409,"387":410,"388":411,"389":412,"390":413,"391":414,"393":416,"394":417,"395":418,"396":419,"397":420,"398":421,"399":422,"400":423,"401":424,"402":425,"403":426,"404":427,"405":428,"406":429,"407":430,"408":431,"409":433,"410":434,"411":435,"412":436,"413":437,"414":438,"415":439,"416":440,"417":442,"418":444,"419":445,"421":447,"422":448,"423":449,"424":450,"425":451,"426":452,"427":453,"428":454,"429":455,"430":456,"431":457,"432":458,"433":459,"434":460,"435":461,"436":462,"437":463,"438":464,"439":465,"440":466,"441":467,"442":468,"443":470,"444":471,"445":472,"446":473,"447":474,"448":475,"449":476,"450":477,"451":478,"452":479,"453":480,"454":481,"455":482,"457":484,"458":485,"459":486,"460":487,"461":488,"462":489,"463":490,"465":492,"466":493,"468":495,"469":496,"470":497,"471":498,"472":499,"473":500,"474":501,"475":502,"476":503,"477":504,"478":505,"479":506,"480":507,"481":508,"482":509,"483":510,"484":511,"485":513,"486":519,"489":541,"490":548,"491":550,"492":556,"493":568,"495":580,"496":584,"497":586,"498":598,"499":616,"500":623,"501":630,"502":638,"503":665,"504":667,"505":669,"506":680,"508":705,"509":718,"510":721,"511":725,"512":759,"513":782,"514":794,"515":803,"516":808,"517":809,"518":819,"519":821,"520":827,"521":835,"522":838,"523":848,"524":852,"525":888,"526":916,"527":940,"528":945,"529":967,"530":974,"531":983,"532":984,"533":988,"534":993,"535":1005,"536":1006,"537":1020},{"0":4,"1":17,"2":74,"3":80,"4":100,"5":160,"6":178,"7":194,"8":196,"10":238,"11":253,"13":257,"15":266,"16":298,"18":346,"20":408,"21":432,"22":441,"23":443,"24":469,"25":515,"26":516,"27":523,"28":524,"29":528,"30":530,"31":533,"32":546,"33":547,"34":560,"35":564,"36":567,"37":569,"38":571,"39":572,"40":585,"41":594,"42":600,"43":601,"44":611,"45":614,"46":619,"47":620,"48":628,"49":636,"50":640,"51":643,"52":648,"53":649,"54":655,"55":659,"56":664,"57":666,"58":668,"59":676,"60":683,"61":689,"62":697,"63":698,"64":700,"65":707,"66":708,"67":717,"68":720,"69":723,"70":724,"71":730,"72":735,"73":741,"74":742,"75":752,"76":767,"77":779,"78":787,"79":789,"80":793,"81":799,"82":816,"83":822,"84":823,"85":829,"86":847,"87":849,"88":851,"89":855,"90":857,"91":867,"92":887,"93":890,"94":895,"95":901,"96":902,"97":909,"98":911,"99":920,"100":922,"101":924,"102":925,"104":937,"105":941,"106":953,"107":957,"108":958,"109":959,"110":965,"111":969,"112":979,"113":980,"115":996,"116":997,"117":999,"118":1001,"119":1002,"120":1018,"121":1019,"122":1022},{"2":512,"3":521,"4":551,"5":552,"6":557,"7":562,"8":565,"9":589,"10":592,"11":593,"12":604,"13":610,"14":617,"15":626,"16":629,"17":632,"18":633,"19":642,"20":645,"21":646,"22":656,"23":678,"24":681,"25":687,"26":736,"27":738,"28":745,"29":747,"30":757,"31":758,"32":763,"33":766,"34":783,"35":806,"36":824,"37":841,"38":842,"39":870,"40":878,"41":893,"43":907,"44":912,"45":923,"46":934,"47":942,"48":952,"49":956,"50":964,"51":994,"52":1003,"53":1012,"54":1013,"55":1014},[514,527,538,590,591,615,635,650,651,688,691,714,728,739,744,751,776,791,837,896,897,947,949,960,966,977,992],{"0":631,"1":639,"2":654,"3":670,"4":675,"5":692,"6":701,"7":706,"9":729,"10":734,"11":775,"12":812,"13":818,"14":844,"15":845,"16":879,"17":889,"18":894,"19":899,"20":908,"21":914,"22":931,"23":961,"24":976,"25":1015,"26":1016},[545,553,595,690,709,810,815,825,863,869,883,892,903,933,935],{"0":520,"1":536,"2":603,"4":765,"5":800,"6":917},[696,726,882,891],{"0":517,"3":597,"4":831,"6":905,"8":948},{"0":641,"1":781,"3":843,"4":906},{"0":537,"3":647,"4":685,"5":795,"6":804},{"0":563,"2":612,"4":853,"5":939,"6":973},{"4":970,"5":1009},{"1":644,"3":754,"4":801},[727,985,1000],[529,814,872],[608,788,871],[526,915],[543,971],[755,859],[531,621,653,733],[542,549,627],[807,833,919],[662,684,868],[746,760,772],[534,826,866],[583,737,877],[559,740,778,954],[673,832,898],[780,864,876],[522,716],[525,574,749],[703,913],[587,704,850,884],[558,951],[579,657,874,989,990],[566,613,885,972],[555,652,773,1004],[637,830,840],[532,588,679,695,732],[671,731,881,918,1023],[576,581,672,820,858],[719,817],[575,660,713,743,797,860,865,936],[602,625,682,786],[663,770,846,861,873],[561,605,929,938],[607,750,798,854,932,978],[573,622,756,768,790,856,880,927,955],[658,711,834],[609,785],[761],[805],[784,1008],[674],[661,886],[596,998,1017],[712,748,921],[634,986],[554],[836,963],[774,796,987],[694,828],[811,982,1010],[875],[677,802,813,981],[777],[624],[762,769],[686,975],[693,946],[910],[771,839],[540],[715]]