[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":8,"8":9,"9":11,"10":12,"11":13,"12":14,"13":17,"14":18,"15":20,"16":21,"17":22,"18":23,"19":24,"20":25,"21":27,"22":30,"23":31,"24":32,"25":34,"26":36,"27":37,"28":38,"29":40,"30":41,"31":42,"32":43,"33":44,"34":45,"35":47,"36":48,"37":49,"38":51,"39":52,"40":53,"41":54,"42":56,"43":57,"44":59,"45":60,"46":61,"47":62,"48":63,"49":64,"50":65,"51":66,"52":70,"53":71,"54":72,"55":73,"56":74,"57":75,"58":76,"59":77,"60":78,"61":79,"62":81,"63":83,"64":84,"65":85,"66":87,"67":90,"68":91,"69":92,"70":93,"71":94,"72":95,"73":97,"74":98,"75":99,"76":101,"77":102,"78":103,"79":104,"80":105,"81":106,"82":107,"83":108,"84":110,"85":111,"86":112,"87":114,"88":116,"89":117,"90":119,"91":120,"92":122,"93":123,"94":124,"95":125,"96":126,"97":127,"98":128,"99":130,"100":131,"101":132,"102":133,"103":134,"104":136,"105":137,"106":138,"107":139,"108":140,"109":141,"110":142,"111":143,"112":145,"113":148,"114":149,"115":150,"116":151,"117":153,"118":155,"119":156,"120":158,"121":161,"122":163,"123":166,"124":167,"125":168,"126":170,"127":171,"128":172,"129":173,"130":174,"131":175,"132":176,"133":177,"134":179,"135":180,"136":181,"137":184,"138":186,"139":187,"140":188,"141":190,"142":257,"143":258,"144":259,"145":260,"146":261,"147":263,"148":264,"149":265,"150":266,"152":268,"153":269,"154":270,"155":272,"156":273,"157":274,"158":275,"159":276,"160":277,"161":279,"162":280,"163":281,"164":283,"165":284,"166":285,"167":286,"168":287,"169":288,"170":289,"171":290,"172":291,"173":292,"174":294,"175":295,"176":296,"177":297,"178":298,"179":299,"180":300,"181":301,"182":302,"183":303,"184":304,"185":305,"186":306,"187":309,"188":310,"189":311,"190":312,"191":313,"192":315,"193":316,"194":317,"195":319,"196":320,"197":321,"198":322,"199":324,"200":325,"201":327,"202":328,"203":329,"204":330,"205":331,"206":333,"207":335,"208":336,"209":337,"210":340,"211":343,"212":344,"213":345,"214":346,"215":347,"216":350,"217":351,"218":352,"219":354,"220":356,"221":357,"222":358,"223":359,"224":360,"225":361,"226":362,"227":363,"228":364,"229":365,"230":366,"231":367,"232":368,"233":369,"234":370,"235":371,"236":372,"237":374,"238":375,"239":376,"240":378,"241":379,"242":380,"243":381,"244":382,"245":384,"246":385,"247":387,"248":388,"249":389,"250":390,"251":391,"252":392,"253":393,"254":395,"255":397,"256":398,"257":399,"258":400,"259":401,"260":404,"261":405,"262":406,"263":407,"264":408,"265":411,"266":414,"267":415,"268":416,"269":417,"270":418,"271":419,"272":421,"273":422,"274":423,"275":424,"276":425,"277":426,"278":427,"279":428,"280":429,"281":431,"282":432,"283":433,"284":434,"285":435,"286":438,"287":439,"288":441,"289":442,"290":443,"291":444,"292":446,"293":447,"294":513,"295":515,"296":519,"297":522,"298":523,"299":531,"300":544,"301":546,"302":551,"303":554,"304":555,"305":563,"306":565,"307":571,"308":572,"309":577,"310":579,"311":583,"312":589,"313":595,"314":596,"315":601,"316":613,"317":618,"318":623,"319":629,"320":631,"321":633,"322":634,"323":641,"324":644,"325":645,"326":647,"327":654,"328":657,"329":665,"330":666,"331":667,"332":680,"333":682,"334":685,"335":686,"336":692,"337":694,"338":695,"339":702,"340":717,"341":727,"342":729,"343":745,"344":755,"345":768,"346":770,"347":771,"348":773,"349":779,"350":790,"351":793,"352":796,"353":800,"354":801,"355":805,"356":809,"357":811,"358":812,"359":827,"360":851,"361":859,"362":860,"363":871,"364":874,"365":876,"366":878,"367":882,"368":883,"369":889,"370":890,"371":891,"372":892,"373":893,"374":894,"375":898,"376":901,"377":907,"378":910,"379":915,"380":917,"381":919,"382":923,"383":928,"384":931,"385":934,"386":936,"387":961,"388":962,"389":963,"390":964,"391":966,"392":967,"393":970,"394":973,"395":974,"396":975,"397":978,"398":981,"399":982,"400":987,"401":990,"402":993,"403":996,"404":998,"405":1004,"406":1014,"407":1015,"408":1017,"409":1018},[7,15,19,26,29,33,35,39,46,50,55,58,67,68,69,80,82,86,88,89,100,109,113,115,118,121,129,135,144,146,147,152,154,157,159,162,165,169,178,182,183,185,189,191,193,197,202,204,205,206,207,210,211,213,215,216,217,218,220,221,223,224,226,227,228,229,232,233,235,237,238,239,241,242,245,246,247,252,253,256,262,271,293,307,308,314,318,323,326,332,334,338,339,341,342,348,349,355,373,377,383,386,394,402,403,409,410,412,413,420,430,437,440,445,448,449,452,454,455,457,460,462,464,466,467,468,469,470,471,472,473,474,475,476,477,478,479,481,483,484,488,489,490,493,494,497,498,499,500,503,510,511,517,521,525,535,542,562,564,575,576,578,584,593,597,599,607,608,609,611,614,616,617,626,627,630,636,638,640,642,646,649,650,651,652,659,661,662,669,671,673,675,688,697,699,701,706,711,712,713,719,721,722,728,730,732,733,738,740,741,742,746,753,756,760,765,769,774,775,782,784,789,791,795,797,798,802,806,810,813,815,816,818,822,823,824,840,843,849,858,870,873,880,886,899,902,905,906,918,924,925,926,927,935,938,940,941,947,949,951,952,958,968,969,971,977,980,989,995,1000,1001,1002,1006,1007,1019,1020,1021],[10,16,28,160,164,192,194,195,196,199,200,201,203,208,209,212,214,219,222,230,231,234,236,240,243,244,248,249,250,254,255,278,282,353,396,436,450,451,453,456,458,461,463,465,480,482,485,486,487,492,495,496,501,502,504,505,506,507,508,509,516,518,526,532,536,540,550,552,553,556,561,566,573,582,585,588,592,598,603,604,605,612,615,656,658,664,668,672,674,681,683,689,693,696,700,704,709,714,716,720,723,724,737,743,750,752,757,759,767,792,794,803,807,825,830,832,834,836,841,846,847,848,854,855,856,864,881,884,887,888,897,900,908,912,921,930,937,942,944,946,960,965,972,976,979,983,985,991,999,1009,1016,1023],{"0":96,"1":198,"2":225,"3":251,"4":459,"5":491,"6":527,"7":529,"8":530,"9":538,"10":539,"11":547,"12":548,"13":557,"15":569,"16":590,"17":591,"19":643,"20":653,"21":655,"22":660,"23":684,"24":715,"25":726,"26":735,"27":754,"28":764,"29":776,"30":778,"31":780,"32":785,"33":804,"34":808,"35":828,"36":831,"37":837,"38":838,"39":839,"40":842,"41":857,"42":867,"43":869,"44":896,"45":903,"46":909,"47":913,"48":916,"49":922,"50":929,"51":932,"52":933,"53":939,"54":943,"55":954,"56":957,"57":959,"58":984,"59":986,"60":988,"61":992,"62":994,"63":1003,"64":1005,"65":1012,"66":1022},{"0":514,"1":528,"2":533,"3":534,"4":537,"5":543,"6":545,"7":560,"8":568,"9":580,"11":602,"12":610,"13":619,"14":620,"15":621,"16":622,"17":624,"18":632,"19":635,"20":639,"21":670,"22":676,"24":679,"25":687,"26":690,"27":698,"28":703,"29":707,"30":710,"31":736,"32":748,"33":758,"34":761,"35":762,"36":763,"37":772,"38":783,"39":787,"40":799,"41":814,"42":819,"43":820,"44":845,"45":852,"46":862,"47":865,"48":875,"49":877,"50":904,"51":911,"52":914,"53":945,"54":953,"55":956,"56":1010},[512,520,524,541,549,558,567,570,574,586,587,594,606,628,637,648,663,708,718,725,731,744,747,749,751,766,777,781,826,829,833,844,850,863,872,879,885,895,920,948,955,997,1008,1011,1013],[600,678,691,705,734,786,821,835,853,861,868],[788,817,866],[950],[]]