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