[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":8,"8":9,"9":10,"10":11,"11":12,"12":13,"13":14,"14":16,"15":17,"16":18,"17":19,"18":20,"19":22,"20":23,"21":24,"22":25,"23":26,"24":28,"25":29,"26":30,"27":31,"28":32,"29":33,"30":34,"31":36,"32":37,"33":40,"34":41,"35":44,"36":45,"37":46,"38":47,"39":48,"40":49,"41":52,"42":53,"43":54,"44":57,"45":58,"46":59,"47":60,"48":61,"49":62,"50":63,"51":65,"52":66,"53":67,"54":68,"56":71,"57":72,"58":73,"59":74,"60":76,"61":77,"62":78,"63":81,"64":85,"65":86,"66":88,"67":91,"68":92,"69":93,"70":94,"71":95,"72":96,"73":97,"74":98,"75":99,"76":100,"77":102,"78":103,"79":105,"80":106,"81":108,"82":109,"83":110,"84":112,"85":114,"86":115,"87":116,"88":117,"89":118,"90":119,"91":121,"92":125,"93":128,"94":129,"95":130,"96":133,"97":134,"98":135,"99":137,"100":138,"101":139,"102":143,"103":144,"104":145,"105":146,"106":147,"107":149,"108":150,"109":151,"110":152,"111":155,"112":156,"113":157,"114":159,"115":161,"116":163,"117":165,"118":167,"119":168,"120":169,"121":170,"122":171,"123":256,"124":257,"125":258,"126":259,"127":260,"128":261,"129":262,"130":263,"131":264,"132":265,"133":266,"134":267,"135":268,"136":269,"137":271,"138":272,"139":273,"140":274,"141":275,"142":276,"143":279,"144":280,"145":281,"146":284,"147":285,"148":286,"149":287,"150":288,"151":291,"152":293,"153":295,"154":296,"155":297,"156":298,"157":299,"158":300,"159":301,"160":302,"161":303,"162":304,"163":306,"164":307,"165":309,"166":310,"167":311,"168":312,"169":313,"170":314,"171":315,"172":316,"173":317,"174":318,"175":319,"176":320,"177":321,"178":322,"179":323,"180":324,"181":325,"182":326,"183":327,"184":328,"185":329,"186":330,"187":331,"188":332,"189":333,"190":334,"191":335,"192":337,"193":338,"194":339,"195":341,"196":343,"197":347,"198":348,"199":350,"200":351,"201":352,"202":354,"203":356,"204":357,"205":359,"206":360,"207":361,"208":364,"209":365,"210":367,"211":369,"212":370,"213":371,"214":372,"215":373,"216":374,"217":376,"218":378,"219":379,"220":380,"221":381,"222":382,"223":383,"224":384,"225":386,"226":388,"227":390,"228":391,"229":392,"230":393,"231":394,"232":395,"233":396,"234":397,"235":398,"236":399,"237":400,"238":401,"239":402,"240":404,"241":406,"242":408,"243":409,"244":410,"245":411,"246":412,"247":413,"248":414,"249":416,"250":417,"251":418,"252":419,"253":420,"254":423,"255":424,"256":425,"257":426,"258":427,"259":428,"260":429,"261":513,"262":514,"263":520,"264":525,"265":527,"266":528,"267":529,"268":535,"269":537,"270":549,"271":550,"272":554,"273":555,"274":558,"275":566,"276":572,"277":583,"278":584,"279":586,"280":594,"281":596,"282":597,"283":599,"284":603,"285":605,"286":607,"287":610,"288":611,"289":618,"290":627,"291":628,"292":629,"293":634,"294":650,"295":652,"296":653,"297":654,"298":655,"299":656,"300":658,"301":659,"302":661,"303":666,"304":671,"305":674,"306":677,"307":678,"308":682,"309":685,"310":689,"311":693,"312":703,"313":704,"314":705,"315":710,"316":717,"317":719,"318":720,"319":729,"320":731,"321":735,"322":737,"323":744,"324":747,"325":748,"326":753,"327":754,"328":755,"329":756,"330":757,"331":759,"332":760,"333":763,"334":770,"335":771,"336":775,"337":777,"338":781,"339":782,"340":785,"341":789,"342":792,"343":802,"344":804,"345":805,"346":813,"347":815,"348":816,"349":817,"350":821,"351":829,"352":830,"353":846,"354":847,"355":848,"356":850,"357":854,"358":856,"359":857,"360":860,"361":861,"362":868,"363":869,"364":877,"365":887,"366":890,"367":896,"368":903,"369":906,"370":910,"371":912,"372":917,"373":918,"374":919,"375":921,"376":923,"377":924,"378":925,"379":930,"380":932,"381":937,"382":938,"383":941,"384":947,"385":950,"386":952,"387":954,"388":956,"389":958,"390":961,"391":963,"392":965,"393":971,"394":975,"395":976,"396":978,"397":980,"398":992,"399":993,"400":994,"401":1005,"402":1012,"403":1013,"404":1015,"405":1017,"406":1021},{"0":7,"1":15,"2":21,"3":27,"4":35,"5":39,"6":42,"7":50,"8":51,"9":55,"10":56,"11":64,"12":69,"13":75,"14":80,"15":82,"16":83,"17":84,"18":87,"19":89,"20":90,"21":101,"22":104,"23":107,"24":111,"25":120,"26":122,"27":123,"28":124,"29":126,"30":127,"31":136,"32":148,"33":154,"34":158,"35":160,"36":162,"37":164,"38":166,"39":172,"40":173,"41":174,"42":176,"43":177,"44":179,"45":180,"46":182,"47":184,"48":185,"49":189,"50":190,"51":191,"52":192,"53":193,"54":194,"55":197,"56":199,"57":200,"58":202,"59":204,"60":205,"61":206,"62":208,"63":209,"64":210,"65":211,"66":213,"67":215,"68":216,"69":217,"70":218,"71":219,"72":220,"73":221,"74":224,"75":225,"76":226,"77":227,"78":228,"79":230,"80":232,"81":233,"82":234,"83":237,"84":239,"85":240,"86":241,"87":242,"88":243,"89":244,"90":246,"91":248,"92":249,"93":250,"94":251,"95":253,"96":255,"97":270,"98":277,"99":278,"100":282,"101":283,"102":289,"103":290,"104":292,"105":294,"106":305,"107":336,"108":340,"109":342,"110":344,"111":346,"112":349,"113":353,"114":355,"115":362,"116":363,"117":366,"118":368,"119":375,"120":377,"121":385,"122":387,"123":389,"124":403,"125":405,"126":407,"127":415,"128":421,"129":422,"130":430,"131":431,"132":432,"133":434,"134":440,"135":441,"136":442,"137":443,"138":444,"139":446,"140":447,"141":448,"142":449,"143":451,"144":455,"146":457,"147":458,"148":459,"149":460,"150":461,"152":464,"153":467,"154":469,"155":470,"156":471,"158":473,"159":474,"160":475,"161":476,"163":478,"164":479,"165":480,"166":481,"167":486,"168":490,"169":491,"170":492,"171":493,"172":494,"173":495,"174":497,"175":499,"176":500,"177":501,"178":505,"179":506,"180":507,"181":508,"182":509,"183":511,"184":512,"185":516,"186":522,"187":523,"188":526,"189":530,"190":532,"191":534,"192":538,"193":547,"194":548,"195":553,"196":556,"197":560,"198":564,"199":568,"200":569,"201":571,"202":573,"203":577,"204":588,"205":589,"206":591,"207":593,"208":595,"209":600,"210":608,"211":609,"212":612,"213":614,"214":615,"215":616,"216":617,"217":619,"218":620,"219":624,"220":631,"221":635,"222":637,"223":638,"224":640,"225":641,"226":643,"227":644,"228":651,"229":663,"230":664,"231":668,"232":669,"233":673,"234":683,"235":684,"236":687,"237":688,"238":691,"239":696,"240":698,"241":701,"242":702,"243":706,"244":711,"245":716,"246":721,"247":722,"248":726,"249":730,"250":742,"251":746,"252":761,"253":762,"254":766,"255":778,"256":780,"257":786,"258":797,"259":798,"260":800,"261":809,"262":811,"263":812,"264":822,"265":825,"266":827,"267":831,"268":833,"269":834,"270":838,"271":841,"272":844,"273":855,"274":859,"275":862,"276":867,"277":872,"278":876,"279":880,"280":883,"281":884,"282":888,"283":891,"284":892,"285":897,"286":898,"287":901,"288":902,"289":908,"290":911,"291":914,"292":927,"293":933,"294":934,"295":942,"296":945,"297":949,"298":953,"299":955,"300":959,"301":962,"302":964,"303":966,"304":968,"305":969,"306":970,"307":972,"308":977,"309":984,"310":991,"311":997,"312":999,"313":1001,"314":1002,"315":1004,"316":1010,"317":1018,"318":1022,"319":1023},[38,43,79,113,131,132,140,153,175,178,183,186,187,196,198,201,203,207,212,236,238,247,252,254,308,345,358,433,435,436,437,438,439,445,450,452,453,454,465,482,483,484,485,488,498,503,510,515,518,541,543,544,545,546,551,552,559,563,567,570,576,578,581,604,632,639,645,647,649,660,665,676,680,695,699,700,709,713,714,724,728,738,749,750,767,769,772,784,787,788,790,794,795,803,806,807,808,810,818,819,820,826,832,836,864,866,874,882,899,900,904,920,935,939,940,951,967,981,983,985,990,1003,1008,1009,1014,1016,1020],[141,142,181,195,214,222,223,229,235,463,466,468,489,496,502,504,539,565,582,592,602,630,636,642,648,675,681,690,697,723,725,733,736,743,751,758,764,768,773,779,783,791,801,849,870,875,881,885,889,907,915,922,936,973,986,998],[188,231,245,487,561,575,579,580,598,623,625,667,708,734,740,837,839,853,858,873,879,913,916,943,946,957],[519,587,590,613,621,622,672,694,739,741,765,828,840,845,851,878,886,929,960,974,982,987,988,1000],{"0":521,"1":540,"2":626,"4":662,"5":679,"6":715,"8":814,"9":824,"10":843,"11":863,"12":871,"13":895,"14":926,"15":1007,"16":1019},{"1":601,"2":718,"3":732,"4":799,"5":823,"6":928,"7":944,"8":979,"9":995},[533,574,670,776,931,989],[542,585,633,686,692,745,752,865,909],{"0":531,"1":606,"2":727,"3":793,"5":894},[524,557,707,852,948,1011],[536,646,712,774,842,905,996,1006],[893],[]]