[[0,1,2,3,4,37,44,50,118,119,120,143,144,149,152,155,166,167,188,189,191,244,261,262,272,273,274,294,317,346,350,352,353,354,355,374,375,378,379,392,394,396,460,461,462,463,464,489,493,494,498,499,516,517,518,519,520,521,541,542,561,574,582,604,606,607,632,633,654,655,656,657,658,706,716,718,721,724,728,729,730,731,732,734,764,775,777,785,794,795,796,797,798,818,819,821,822,848,850,865,874,884,886,911,912,913,914,924,928,929,932,933,934,935,936,937,960,962,964,967,973,978,979,980],{"0":5,"1":6,"2":7,"3":8,"4":9,"5":12,"6":41,"7":46,"8":56,"9":57,"11":59,"13":61,"15":97,"18":122,"19":123,"20":124,"21":125,"22":127,"23":142,"24":148,"25":154,"26":156,"27":164,"28":169,"29":190,"30":192,"31":209,"32":210,"33":212,"34":275,"35":280,"36":281,"37":296,"38":316,"39":328,"40":339,"41":351,"42":356,"43":357,"44":358,"45":359,"46":377,"47":380,"48":382,"49":385,"50":386,"51":388,"52":390,"53":395,"54":397,"55":454,"56":466,"57":469,"58":497,"59":504,"60":523,"61":524,"62":543,"63":568,"64":572,"65":576,"66":577,"67":583,"68":585,"69":588,"70":592,"71":594,"72":608,"73":610,"74":611,"75":631,"76":636,"77":660,"78":662,"79":664,"80":665,"81":692,"82":694,"83":703,"84":714,"85":715,"86":725,"87":727,"88":733,"89":738,"90":765,"91":767,"92":769,"93":773,"94":774,"95":778,"96":781,"97":787,"98":788,"99":789,"100":791,"101":799,"102":800,"103":802,"104":820,"105":823,"106":826,"107":839,"108":840,"109":844,"110":851,"111":855,"112":856,"113":860,"114":871,"115":878,"116":880,"117":883,"118":887,"119":888,"120":890,"121":891,"122":893,"123":908,"124":916,"125":918,"126":919,"127":921,"128":927,"129":938,"130":940,"131":941,"132":958,"133":961,"134":966,"135":971,"136":974,"137":975,"138":981,"139":982,"140":984,"141":985,"142":1012,"143":1023},{"0":33,"1":36,"2":39,"3":54,"7":67,"8":68,"9":88,"10":93,"11":94,"12":96,"13":101,"14":109,"15":116,"16":117,"17":121,"18":129,"19":131,"20":132,"21":147,"22":150,"23":151,"24":168,"25":170,"26":171,"27":173,"28":193,"29":195,"30":196,"31":198,"32":199,"33":211,"34":228,"35":238,"36":243,"37":250,"38":276,"39":277,"40":278,"41":285,"42":295,"43":298,"44":313,"45":314,"46":321,"47":330,"48":332,"49":337,"50":338,"51":342,"52":347,"53":360,"54":361,"55":376,"56":387,"57":391,"58":398,"59":405,"60":467,"61":468,"62":470,"63":472,"64":473,"65":474,"66":501,"67":506,"68":509,"69":513,"70":522,"71":528,"72":544,"73":545,"74":546,"75":548,"76":549,"77":565,"78":567,"79":570,"80":571,"81":580,"82":581,"83":591,"84":595,"85":597,"86":600,"87":609,"88":613,"89":630,"90":641,"91":651,"92":659,"93":661,"94":663,"95":666,"96":667,"97":668,"98":670,"99":673,"100":674,"101":676,"102":693,"103":699,"104":700,"105":704,"106":713,"107":719,"108":720,"109":726,"110":735,"111":737,"112":739,"113":742,"114":743,"115":746,"116":763,"117":779,"118":790,"119":803,"120":807,"121":808,"122":809,"123":824,"124":825,"125":827,"126":830,"127":885,"128":894,"129":895,"130":897,"131":898,"132":910,"133":915,"134":922,"135":923,"136":942,"137":943,"138":946,"139":955,"140":959,"141":963,"142":965,"143":983,"144":986,"145":987,"146":989,"147":991,"148":992,"149":1001},{"0":10,"1":11,"2":22,"3":34,"4":35,"5":38,"6":42,"7":45,"8":48,"9":51,"11":65,"12":69,"13":70,"14":75,"15":79,"17":98,"18":99,"20":110,"21":128,"22":136,"23":137,"24":153,"25":157,"26":162,"27":165,"28":172,"29":175,"30":180,"31":194,"32":200,"33":202,"34":203,"35":213,"36":215,"37":217,"38":221,"39":226,"40":237,"41":259,"42":260,"43":265,"44":266,"45":269,"46":271,"47":279,"48":282,"49":283,"50":284,"51":297,"52":335,"53":364,"54":365,"55":367,"56":381,"57":399,"58":400,"59":401,"60":403,"61":407,"62":408,"63":409,"64":412,"65":430,"66":434,"67":438,"68":439,"69":440,"70":456,"71":465,"72":471,"73":476,"74":480,"75":515,"76":526,"77":527,"78":529,"79":547,"80":551,"81":552,"82":553,"83":555,"84":556,"85":563,"86":579,"87":590,"88":599,"89":602,"90":605,"91":612,"92":614,"93":615,"94":617,"95":618,"96":639,"97":650,"98":653,"99":669,"100":671,"101":675,"102":677,"103":691,"104":695,"105":697,"106":698,"107":709,"108":712,"109":717,"110":722,"111":723,"112":741,"113":747,"114":750,"115":751,"116":752,"117":762,"118":770,"119":771,"120":780,"121":793,"122":801,"123":805,"124":806,"125":810,"126":834,"127":861,"128":870,"129":875,"130":882,"131":889,"132":896,"133":899,"134":902,"135":920,"136":926,"137":939,"138":944,"139":945,"140":956,"141":970,"142":977,"143":990,"144":994},{"0":13,"1":14,"2":15,"3":24,"4":31,"5":32,"6":43,"7":47,"8":55,"9":71,"10":72,"11":73,"14":77,"15":78,"16":82,"17":89,"18":90,"19":92,"21":115,"22":130,"23":133,"24":134,"25":135,"26":145,"27":146,"28":158,"29":159,"30":174,"31":177,"32":178,"33":179,"34":185,"35":197,"36":208,"37":214,"38":216,"39":219,"40":251,"41":255,"42":258,"43":270,"44":287,"45":292,"46":299,"47":300,"48":301,"49":302,"50":362,"51":363,"52":369,"53":370,"54":371,"55":373,"56":383,"57":389,"58":402,"59":404,"60":406,"61":413,"62":414,"63":416,"64":417,"65":432,"66":448,"67":453,"68":455,"69":475,"70":477,"71":478,"72":479,"73":481,"74":487,"75":492,"76":502,"77":525,"78":532,"79":533,"80":550,"81":554,"82":559,"83":560,"84":566,"85":593,"86":616,"87":619,"88":620,"89":621,"90":622,"91":624,"92":628,"93":634,"94":642,"95":645,"96":646,"97":647,"98":649,"99":672,"100":678,"101":679,"102":683,"103":685,"104":710,"105":711,"106":736,"107":740,"108":745,"109":748,"110":749,"111":754,"112":758,"113":760,"114":761,"115":766,"116":783,"117":786,"118":815,"119":831,"120":833,"121":836,"122":843,"123":845,"124":859,"125":868,"126":901,"127":909,"128":947,"129":948,"130":949,"131":951,"132":952,"133":972,"134":1002,"135":1009},{"0":17,"1":18,"2":19,"3":20,"4":21,"5":25,"6":27,"7":28,"8":29,"9":30,"10":40,"11":49,"12":52,"13":53,"14":81,"15":83,"16":84,"17":86,"18":100,"19":102,"20":106,"22":111,"23":113,"24":126,"25":140,"26":141,"27":176,"28":181,"29":182,"30":183,"31":184,"32":186,"33":201,"34":205,"35":207,"36":224,"37":233,"38":240,"39":252,"40":254,"41":268,"42":308,"43":336,"44":340,"45":366,"46":368,"47":372,"48":418,"49":419,"50":425,"51":431,"52":433,"53":435,"54":443,"55":457,"56":458,"57":482,"58":483,"59":484,"60":485,"61":486,"62":490,"63":491,"64":505,"65":508,"66":512,"67":530,"68":531,"69":536,"70":539,"71":540,"72":557,"73":558,"74":586,"75":623,"76":625,"77":626,"78":627,"79":629,"80":635,"81":637,"82":638,"83":644,"84":652,"85":680,"86":681,"87":682,"88":687,"89":688,"90":696,"91":702,"92":707,"93":708,"94":744,"95":755,"96":757,"97":759,"98":768,"99":776,"100":782,"101":804,"102":817,"103":828,"104":832,"105":841,"106":867,"107":873,"108":892,"109":903,"110":906,"111":907,"112":917,"113":925,"114":950,"115":953,"116":954,"117":957,"118":976,"119":988,"120":999,"121":1010,"122":1020,"123":1021},{"0":16,"1":80,"4":114,"5":138,"6":161,"7":218,"8":220,"9":222,"10":225,"11":227,"12":229,"13":235,"14":236,"15":253,"16":263,"17":264,"18":267,"19":286,"20":288,"21":305,"22":307,"23":309,"24":320,"25":327,"26":393,"27":410,"28":411,"29":415,"30":420,"31":426,"32":441,"33":444,"34":446,"35":450,"36":451,"37":488,"38":496,"39":500,"40":514,"41":534,"42":537,"43":564,"44":575,"45":643,"46":648,"47":684,"48":686,"49":689,"50":690,"51":701,"52":705,"53":753,"54":756,"55":812,"56":813,"57":829,"58":838,"59":849,"60":854,"61":857,"62":862,"63":879,"64":900,"65":904,"66":930,"67":968,"68":969,"69":996,"70":1004,"71":1007,"72":1018},[23,26,105,139,187,204,206,242,289,290,293,303,304,306,310,343,384,421,422,423,424,427,428,442,459,495,503,510,511,535,538,584,587,596,601,603,772,811,816,858,863,905,931,993,995,997,998,1022],[160,223,232,234,239,248,249,291,429,436,437,449,452,507,562,569,578,784,792,814,835,837,869,881,1000,1006,1015],[163,445,447,589,598,640,842,846,853,864,866,876,1003,1005,1013,1014,1019],[326,329,573,847,852,1008,1011,1016,1017],[231,257,315,318,323,324,325,334,341,344,872,877],[230,241,246,247,312,319,322,333,345,348,349],[311,331],[245,256]]