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