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