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