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