[{"1":1,"2":2,"4":6,"6":8,"7":9,"8":10,"9":11,"10":13,"12":16,"16":20,"17":21,"20":25,"21":26,"24":30,"25":31,"26":32,"28":34,"29":35,"31":37,"32":38,"33":39,"34":40,"35":41,"37":43,"38":44,"40":46,"41":48,"42":49,"43":50,"44":51,"46":53,"47":54,"48":55,"49":56,"50":57,"51":58,"55":62,"56":63,"57":64,"58":65,"59":66,"65":73,"66":74,"68":76,"70":78,"71":79,"72":80,"77":85,"78":86,"81":89,"83":91,"85":93,"87":95,"89":99,"95":105,"97":107,"98":108,"99":109,"101":111,"102":113,"105":116,"107":118,"109":120,"111":122,"112":123,"114":125,"115":126,"116":127,"117":128,"122":133,"123":134,"124":135,"125":136,"127":139,"129":141,"130":142,"131":143,"134":148,"136":150,"137":151,"138":152,"142":157,"144":159,"145":160,"146":161,"147":162,"149":164,"151":166,"152":167,"153":168,"154":169,"157":173,"158":174,"159":175,"160":176,"162":178,"163":179,"165":181,"166":182,"167":183,"169":186,"170":188,"171":189,"173":191,"174":192,"176":194,"177":195,"179":197,"180":198,"183":202,"186":205,"187":207,"188":208,"189":210,"191":212,"192":213,"194":215,"195":216,"199":220,"200":221,"201":222,"202":223,"203":225,"205":227,"206":228,"207":229,"208":230,"209":231,"210":232,"212":234,"213":235,"214":236,"215":237,"217":239,"218":240,"219":241,"220":242,"222":244,"224":247,"227":251,"228":252,"230":254,"231":255,"232":256,"234":258,"235":259,"236":260,"237":261,"240":264,"243":268,"246":271,"248":273,"249":274,"250":275,"252":277,"254":279,"255":280,"256":281,"258":283,"259":284,"260":285,"261":286,"263":288,"267":292,"268":293,"269":294,"272":297,"273":298,"276":301,"277":302,"278":303,"279":304,"280":305,"283":308,"286":312,"287":313,"288":314,"289":315,"293":319,"294":320,"295":321,"296":322,"297":323,"298":324,"300":326,"302":328,"303":329,"304":330,"305":331,"307":333,"308":334,"309":335,"310":336,"311":337,"313":339,"314":340,"315":341,"317":343,"318":344,"320":346,"322":348,"324":350,"326":352,"327":353,"328":354,"330":356,"331":358,"332":359,"333":360,"334":361,"335":362,"337":365,"338":366,"339":367,"340":368,"343":372,"344":373,"345":374,"346":375,"350":379,"351":381,"352":382,"353":383,"354":384,"356":386,"358":389,"360":391,"361":392,"362":393,"363":394,"364":395,"368":399,"370":401,"371":402,"374":406,"375":407,"378":411,"384":417,"385":418,"387":420,"389":423,"391":425,"392":426,"393":427,"396":430,"397":431,"399":433,"400":434,"401":436,"402":437,"403":438,"405":440,"406":441,"407":442,"409":445,"413":449,"416":454,"417":456,"419":458,"420":460,"421":461,"422":462,"424":464,"426":466,"428":468,"430":470,"431":471,"436":476,"437":477,"441":481,"443":483,"444":484,"445":485,"448":488,"449":489,"450":490,"451":491,"452":492,"454":494,"455":495,"456":496,"457":497,"458":498,"460":500,"461":501,"462":502,"464":504,"465":505,"466":506,"467":507,"468":508,"470":510,"472":513,"473":515,"474":516,"475":518,"476":525,"477":532,"479":540,"480":543,"481":556,"482":560,"483":561,"484":565,"487":571,"489":576,"490":577,"491":583,"492":584,"493":585,"494":596,"496":614,"499":628,"502":647,"504":659,"505":664,"507":674,"509":688,"510":690,"512":697,"513":700,"514":701,"515":704,"516":709,"518":713,"519":718,"520":723,"521":724,"522":725,"523":731,"525":743,"526":744,"527":762,"528":782,"529":799,"531":817,"534":830,"535":834,"536":837,"539":842,"540":859,"541":860,"542":861,"544":875,"546":880,"547":882,"548":896,"550":912,"551":919,"552":921,"553":930,"555":950,"556":953,"557":960,"558":962,"559":967,"560":969,"561":975,"562":981,"563":994,"564":996,"565":998,"567":1003,"568":1013},{"0":3,"1":4,"2":12,"4":23,"8":97,"9":98,"10":112,"11":138,"15":171,"16":185,"17":187,"18":201,"20":209,"21":224,"22":246,"24":266,"25":309,"26":357,"27":364,"28":370,"29":380,"31":404,"32":409,"34":435,"35":443,"36":451,"37":452,"38":455,"40":514,"42":526,"43":527,"45":545,"47":548,"48":572,"49":575,"51":602,"53":612,"54":617,"55":629,"60":657,"61":667,"62":668,"63":685,"64":691,"65":702,"66":714,"67":719,"68":735,"69":736,"70":740,"71":745,"72":753,"73":771,"74":772,"75":775,"76":787,"80":833,"81":840,"82":843,"84":858,"85":885,"87":888,"88":890,"89":893,"90":894,"91":898,"92":900,"93":915,"95":925,"96":927,"97":934,"98":938,"99":940,"100":951,"102":966,"103":978,"104":1004,"105":1006,"107":1008,"108":1014,"109":1015,"110":1017,"112":1023},{"0":520,"1":523,"2":530,"3":542,"5":551,"6":554,"7":562,"8":563,"9":569,"10":573,"11":578,"14":592,"15":599,"17":605,"18":615,"19":658,"20":660,"21":672,"23":676,"24":679,"25":693,"28":749,"29":754,"30":755,"32":759,"33":764,"34":768,"35":780,"36":788,"37":794,"38":796,"39":803,"40":804,"41":806,"42":809,"43":824,"47":863,"48":868,"49":873,"51":892,"53":910,"54":914,"55":917,"56":931,"57":933,"58":945,"59":947,"60":949,"61":955,"62":959,"63":965,"65":982,"66":985,"67":997,"69":1018,"70":1019,"71":1021},{"2":538,"3":558,"4":586,"7":622,"9":634,"10":636,"11":642,"12":645,"13":663,"14":673,"15":683,"16":686,"17":694,"18":698,"19":708,"20":711,"21":720,"24":739,"25":756,"29":801,"30":808,"31":811,"32":813,"33":820,"34":825,"35":849,"36":853,"37":856,"39":870,"40":874,"41":881,"42":884,"43":886,"46":913,"47":918,"48":942,"49":976},{"0":541,"1":559,"2":593,"3":637,"5":641,"6":652,"7":656,"8":661,"9":671,"11":687,"12":689,"13":707,"14":721,"15":730,"16":732,"17":748,"18":828,"20":877,"22":895,"23":907,"25":922,"26":932,"27":939,"28":946,"29":952,"30":954,"31":963,"32":979,"34":988,"35":989,"36":993},{"3":552,"4":555,"5":568,"8":620,"9":623,"10":677,"11":682,"13":752,"15":777,"16":778,"17":783,"18":792,"19":795,"21":845,"22":851,"23":852,"24":862,"25":891,"26":899,"27":920,"28":924,"29":941,"30":948,"31":956,"32":961,"33":964,"34":972,"35":977,"36":1010,"38":1016,"39":1020},{"0":517,"1":522,"2":549,"3":580,"6":633,"7":651,"8":665,"9":684,"10":692,"11":717,"12":729,"13":733,"14":751,"15":758,"16":790,"17":815,"19":836,"20":857,"21":865,"22":867,"23":883,"24":929,"25":958,"26":973,"27":980,"28":986,"29":995,"30":1002},{"0":537,"2":590,"3":621,"4":638,"6":666,"7":680,"8":699,"9":703,"11":726,"13":760,"14":766,"15":770,"17":798,"18":814,"19":827,"21":871,"22":908,"23":928,"24":1009},{"2":557,"3":598,"4":606,"5":608,"6":611,"7":619,"9":632,"11":761,"12":785,"13":791,"14":797,"16":812,"17":816,"18":823,"19":831,"20":848,"21":854,"22":909,"24":936,"25":944,"26":970,"27":974,"28":983},{"0":531,"1":595,"2":616,"3":626,"4":639,"7":705,"8":710,"9":781,"10":789,"11":793,"12":869,"13":878,"14":904},{"0":550,"1":553,"2":570,"3":613,"4":646,"5":747,"6":769,"8":776,"9":779,"10":819,"11":902,"12":943,"13":991},{"0":591,"1":604,"2":655,"3":695,"4":737,"5":750,"7":926},{"0":539,"2":588,"3":650,"4":727,"5":805,"6":826,"8":990},[524,589,742,773,905],[999],[]]