[{"0":0,"1":1,"2":2,"3":3,"4":5,"5":6,"6":7,"7":8,"8":9,"9":10,"10":12,"11":13,"12":14,"13":15,"14":16,"15":18,"16":19,"17":25,"18":26,"19":29,"20":30,"21":31,"22":32,"23":36,"24":37,"25":40,"26":41,"27":42,"28":43,"29":44,"30":45,"31":47,"32":48,"33":49,"34":50,"35":51,"36":52,"37":53,"38":54,"39":55,"40":56,"41":57,"42":59,"43":60,"44":61,"45":62,"46":64,"47":65,"48":66,"49":67,"50":68,"51":75,"52":76,"53":78,"54":79,"55":80,"56":82,"57":83,"58":84,"59":88,"60":90,"61":91,"62":93,"63":94,"64":97,"65":99,"66":100,"67":101,"68":102,"69":103,"70":104,"71":105,"72":106,"73":107,"74":108,"75":109,"76":111,"77":112,"78":113,"79":115,"80":118,"81":125,"82":126,"83":127,"84":129,"85":131,"86":133,"87":134,"88":135,"89":136,"90":137,"91":139,"92":140,"93":141,"94":144,"95":145,"96":146,"97":147,"98":152,"99":155,"100":159,"101":161,"102":173,"103":174,"104":175,"105":176,"106":177,"107":179,"108":180,"109":182,"110":194,"111":196,"112":199,"113":200,"114":205,"115":207,"116":216,"117":217,"118":234,"119":235,"120":236,"121":237,"122":238,"123":239,"124":240,"125":241,"126":242,"127":243,"128":244,"129":246,"130":247,"131":248,"132":259,"133":260,"134":262,"135":274,"136":275,"137":276,"138":279,"139":281,"140":284,"141":289,"142":292,"143":293,"144":294,"145":297,"146":306,"147":308,"148":309,"149":311,"150":312,"151":313,"152":314,"153":315,"154":316,"155":317,"156":318,"157":319,"158":321,"159":322,"160":323,"161":325,"162":326,"163":327,"164":328,"165":329,"166":330,"167":331,"168":336,"169":337,"170":338,"171":351,"172":352,"173":353,"174":359,"175":361,"176":362,"177":366,"178":368,"179":373,"180":375,"181":383,"182":386,"183":387,"184":388,"185":389,"186":392,"187":393,"188":394,"189":396,"190":398,"191":401,"192":403,"193":432,"194":435,"195":436,"196":437,"197":438,"198":440,"199":441,"200":442,"201":443,"202":444,"203":445,"204":446,"205":447,"206":448,"207":449,"208":452,"209":453,"210":454,"211":455,"212":457,"213":459,"214":461,"215":468,"216":469,"217":470,"218":471,"219":472,"220":474,"221":476,"222":477,"223":478,"224":479,"225":481,"226":482,"227":485,"228":486,"229":488,"230":490,"231":491,"232":493,"233":494,"234":496,"236":502,"237":507,"238":514,"239":516,"240":517,"241":527,"242":546,"243":553,"244":554,"245":558,"246":559,"247":560,"248":561,"249":562,"250":563,"251":564,"252":565,"253":566,"254":567,"255":568,"256":569,"257":570,"258":571,"259":572,"260":573,"261":574,"262":575,"263":576,"264":577,"265":591,"266":595,"267":598,"268":599,"269":600,"270":601,"271":604,"272":605,"273":606,"274":608,"275":609,"276":610,"277":611,"278":616,"279":617,"280":619,"281":622,"282":625,"283":626,"284":627,"285":646,"286":648,"287":661,"288":663,"289":664,"290":665,"291":675,"292":676,"293":688,"294":691,"295":692,"296":694,"297":699,"298":703,"299":705,"300":709,"301":723,"302":728,"303":733,"304":734,"305":735,"306":736,"307":737,"308":738,"309":739,"310":740,"311":741,"312":742,"313":743,"314":744,"315":745,"316":746,"317":747,"318":748,"319":750,"320":751,"321":752,"322":753,"323":763,"324":765,"325":766,"326":768,"327":769,"328":772,"329":774,"330":775,"331":777,"332":778,"333":779,"334":780,"335":783,"336":785,"337":788,"338":790,"339":791,"340":792,"341":793,"342":794,"343":795,"344":796,"345":797,"346":798,"347":799,"348":800,"349":801,"350":802,"351":804,"352":805,"353":806,"354":807,"355":808,"356":814,"357":815,"358":817,"359":820,"360":821,"361":834,"362":835,"363":837,"364":838,"365":841,"366":843,"367":844,"368":845,"369":846,"370":847,"371":848,"372":850,"373":851,"374":852,"375":853,"376":854,"377":855,"378":856,"379":857,"380":859,"381":862,"382":863,"383":865,"384":867,"385":870,"386":871,"387":872,"388":873,"389":874,"390":875,"391":876,"392":877,"393":878,"394":879,"395":880,"396":881,"397":882,"398":883,"399":884,"400":885,"401":887,"402":889,"403":890,"404":891,"405":896,"406":897,"407":898,"408":899,"409":900,"410":902,"411":904,"412":906,"413":907,"414":908,"415":911,"416":912,"417":914,"418":915,"419":916,"420":917,"421":919,"422":925,"423":926,"424":929,"425":930,"426":932,"427":933,"428":936,"429":937,"430":939,"431":944,"432":947,"433":949,"434":951,"435":953,"436":954,"437":955,"438":957,"439":958,"440":959,"441":960,"442":961,"443":964,"444":965,"445":966,"446":967,"447":968,"448":969,"449":970,"450":971,"451":972,"452":973,"453":975,"454":976,"455":977,"456":980,"457":981,"458":982,"459":984,"460":985,"461":986,"462":989,"463":996,"464":997,"465":998,"466":1000,"467":1002,"468":1003,"469":1004,"470":1005,"471":1007,"472":1011,"473":1013,"474":1014,"475":1015,"476":1016,"477":1017,"478":1018,"479":1020},[4,11,17,21,22,28,34,35,38,46,58,63,69,70,72,74,81,85,86,89,92,95,96,110,114,117,121,128,130,132,143,156,158,160,162,163,164,166,178,181,183,185,186,187,188,190,191,193,211,212,219,228,230,250,251,252,255,258,263,264,266,269,270,273,280,283,285,286,300,301,310,320,324,332,333,334,335,339,340,341,342,343,344,347,349,350,358,371,374,377,380,381,382,390,391,395,399,402,404,405,406,407,415,428,450,451,456,458,460,462,463,465,466,473,475,483,489,492,495,498,499,500,501,503,505,506,509,510,512,513,515,521,524,525,526,529,533,535,542,543,549,555,556,578,579,580,581,582,583,584,585,586,588,589,592,602,603,612,615,624,630,635,643,645,651,655,657,662,666,669,670,672,673,674,677,680,681,693,695,698,702,708,714,718,719,721,722,726,732,749,754,755,756,757,758,760,761,764,767,770,771,776,781,782,786,803,809,810,811,812,813,816,819,823,824,825,826,827,829,830,831,832,833,836,839,840,842,860,864,866,869,886,893,894,895,901,905,909,913,918,921,922,923,924,927,928,931,934,938,940,942,943,945,950,952,956,962,963,974,978,979,983,987,988,990,991,992,993,994,995,999,1001,1006,1008,1009,1010,1012,1019,1021,1022],[23,24,27,33,39,71,73,77,87,98,119,120,122,124,138,142,148,149,150,151,153,154,157,165,169,171,172,184,189,192,195,202,203,215,222,223,229,231,232,245,249,253,256,257,261,265,268,271,272,277,282,287,296,298,299,304,345,346,348,354,357,360,372,379,397,400,412,413,417,419,424,429,430,464,467,480,484,487,504,508,511,518,519,520,522,523,528,531,536,537,538,544,547,548,587,593,607,618,620,628,631,632,633,634,636,637,639,640,641,642,644,647,650,652,653,654,671,682,683,685,687,690,697,706,710,711,713,720,725,727,729,730,731,762,773,784,787,818,849,861,868,888,892,920,935,946,948],[20,116,123,167,168,170,197,198,201,206,213,220,221,224,226,227,233,254,267,291,303,305,356,363,364,365,367,369,376,385,414,422,423,434,439,530,532,534,539,541,550,551,557,621,623,629,638,649,656,658,659,660,667,668,678,679,686,689,696,700,704,712,717,759,828,858,903,941,1023],[204,210,214,218,225,278,290,355,370,408,409,410,411,590,594,596,684,707,715,716,724,789,822,910],[208,307,597,613,614,701],[209,288,384,416],[295,302,378,421],[418,420,425,431],[426,427],[433],[540,552],[545]]