[{"0":0,"1":1,"2":3,"3":4,"4":5,"5":6,"6":7,"7":10,"8":11,"9":12,"10":13,"11":14,"12":16,"13":17,"14":20,"15":21,"16":22,"17":23,"18":25,"19":26,"20":27,"21":28,"22":29,"23":30,"24":31,"25":33,"26":34,"27":35,"28":36,"29":37,"30":38,"31":39,"32":40,"33":41,"34":42,"35":43,"36":44,"37":45,"38":46,"39":47,"40":50,"41":51,"42":54,"43":55,"44":56,"45":58,"46":60,"47":61,"48":62,"49":64,"50":66,"51":67,"52":68,"53":70,"54":72,"55":73,"56":75,"57":76,"58":77,"59":78,"60":80,"61":81,"62":82,"63":84,"64":85,"65":87,"66":88,"67":89,"68":90,"70":92,"71":93,"72":94,"73":95,"74":96,"75":98,"76":99,"77":100,"78":101,"79":103,"80":104,"81":105,"82":107,"83":108,"84":109,"85":112,"86":113,"87":114,"88":115,"89":116,"90":117,"91":118,"92":119,"93":120,"94":121,"95":123,"96":124,"97":125,"98":128,"99":129,"100":133,"101":134,"102":135,"103":136,"104":137,"105":138,"106":140,"107":142,"108":143,"109":144,"110":146,"111":148,"112":150,"113":154,"114":156,"115":157,"116":158,"117":159,"118":161,"119":162,"120":166,"121":167,"122":168,"123":169,"124":170,"125":173,"126":174,"127":175,"128":177,"129":178,"130":180,"131":181,"132":182,"133":183,"134":184,"135":185,"136":186,"137":187,"138":188,"139":190,"140":194,"141":195,"142":196,"143":199,"144":200,"145":201,"146":202,"147":203,"148":204,"149":206,"150":207,"151":208,"152":211,"153":212,"154":213,"155":215,"156":216,"157":219,"158":220,"159":221,"160":222,"161":224,"162":225,"163":226,"164":227,"165":228,"166":230,"167":232,"168":233,"169":256,"170":257,"171":258,"172":259,"174":261,"175":262,"176":263,"177":264,"178":265,"179":266,"180":267,"181":268,"182":269,"183":270,"184":271,"185":272,"186":273,"187":274,"188":275,"189":277,"190":278,"191":279,"192":280,"193":283,"194":284,"195":285,"196":286,"197":287,"198":288,"199":289,"200":290,"201":291,"202":292,"203":293,"204":294,"205":295,"206":296,"207":298,"208":299,"209":300,"210":301,"211":303,"212":304,"213":307,"214":309,"215":310,"216":311,"217":312,"218":314,"219":316,"220":317,"221":318,"222":319,"223":320,"224":322,"225":323,"226":324,"227":325,"228":326,"229":327,"230":328,"231":329,"232":330,"233":331,"234":332,"235":333,"236":337,"237":338,"238":339,"239":340,"240":341,"241":342,"243":344,"244":345,"245":346,"246":347,"247":348,"248":349,"249":350,"250":352,"251":353,"252":356,"253":357,"254":358,"255":359,"256":360,"257":361,"258":362,"259":363,"260":364,"261":365,"262":367,"263":368,"264":369,"265":370,"266":371,"267":372,"268":373,"269":374,"270":375,"271":378,"272":379,"273":381,"274":382,"275":384,"276":385,"277":386,"278":388,"279":389,"280":390,"281":391,"282":394,"283":395,"284":397,"285":398,"286":399,"287":401,"288":402,"289":403,"290":404,"291":405,"292":406,"293":408,"294":410,"295":413,"296":416,"297":417,"298":418,"299":419,"300":421,"301":422,"302":424,"303":425,"304":426,"305":427,"306":428,"307":429,"308":431,"309":432,"310":433,"311":434,"312":435,"313":436,"314":438,"315":439,"316":441,"317":443,"318":444,"319":445,"320":447,"321":452,"322":453,"323":454,"324":455,"325":456,"326":459,"327":463,"328":464,"329":465,"330":466,"331":467,"332":468,"333":469,"334":471,"335":472,"336":475,"337":477,"338":478,"339":479,"340":482,"341":483,"342":484,"343":486,"344":487,"345":489,"346":491,"347":492,"348":512,"349":514,"350":515,"351":520,"352":521,"353":522,"354":523,"355":525,"356":526,"357":528,"358":530,"359":531,"360":536,"361":537,"362":539,"363":540,"364":544,"365":546,"366":547,"367":550,"368":553,"369":562,"370":564,"371":565,"372":569,"373":575,"374":577,"375":585,"376":586,"377":587,"378":593,"379":597,"380":598,"381":599,"382":600,"383":616,"384":620,"385":626,"386":627,"387":628,"388":630,"389":642,"390":643,"391":644,"392":646,"393":647,"394":648,"395":652,"396":653,"397":654,"398":657,"399":658,"400":666,"401":668,"402":672,"403":673,"404":680,"405":685,"406":693,"407":694,"408":706,"409":709,"410":713,"411":716,"412":720,"413":721,"414":724,"415":726,"416":728,"417":730,"418":732,"419":734,"420":736,"421":741,"422":742,"423":750,"424":751,"425":757,"426":758,"427":764,"428":767,"429":768,"430":770,"431":773,"432":775,"433":776,"434":778,"435":780,"436":781,"437":786,"438":787,"439":788,"440":791,"441":793,"442":796,"443":797,"444":798,"445":800,"446":801,"447":806,"448":808,"449":809,"450":810,"451":813,"452":815,"453":816,"454":820,"455":823,"456":825,"457":827,"458":829,"459":832,"460":834,"461":839,"462":842,"463":843,"464":846,"465":849,"466":850,"467":852,"468":863,"469":864,"470":872,"471":873,"472":874,"473":877,"474":879,"475":882,"476":883,"477":884,"478":887,"479":888,"480":892,"481":898,"482":899,"483":901,"484":902,"485":903,"486":904,"487":911,"488":917,"489":924,"490":927,"491":930,"492":932,"493":933,"494":935,"495":936,"496":937,"497":940,"498":941,"499":943,"500":944,"501":945,"502":947,"503":951,"504":955,"505":959,"506":962,"507":965,"508":970,"509":972,"510":976,"511":978,"512":979,"513":983,"514":984,"515":987,"516":990,"517":994,"518":996,"519":999,"520":1008,"521":1010,"522":1016,"523":1017,"524":1018,"525":1019},[2,9,15,18,19,48,49,53,57,59,69,71,79,83,86,97,106,110,111,122,127,130,132,145,149,151,152,153,155,164,165,171,172,176,179,189,191,192,193,197,198,205,209,214,218,223,231,234,235,237,238,240,241,242,243,245,246,247,248,250,252,276,281,297,305,308,313,315,321,334,335,351,354,355,366,376,380,392,393,396,400,407,414,415,420,423,430,437,440,442,446,448,449,451,457,458,460,461,462,473,480,485,490,494,495,497,498,499,500,504,506,508,510,516,519,527,529,532,538,543,545,548,552,555,556,557,558,566,567,568,570,573,574,579,582,583,588,590,592,594,595,601,602,603,604,605,608,611,612,613,615,617,618,619,621,622,623,625,629,631,632,633,635,636,637,641,645,650,651,655,656,659,663,665,667,669,671,674,675,676,677,678,679,682,683,687,688,689,690,691,692,696,697,701,702,703,707,708,710,711,712,714,715,717,718,723,725,727,731,733,737,740,743,744,745,749,752,753,754,755,759,760,761,762,765,769,771,772,777,784,785,789,790,792,795,802,803,804,805,811,812,814,817,818,819,822,824,826,828,830,833,836,837,838,841,845,851,853,855,856,857,859,861,862,866,867,868,869,870,871,876,878,880,886,890,891,893,894,895,896,909,910,912,913,914,916,919,923,925,926,928,929,931,938,939,942,946,949,950,952,953,956,958,960,961,964,968,969,971,973,974,975,981,982,988,989,995,998,1000,1001,1003,1004,1007,1009,1011,1012,1020,1021],[8,24,63,65,74,102,126,131,139,141,147,163,217,229,236,239,244,249,251,254,255,282,302,306,336,377,383,409,411,412,450,470,481,488,493,501,502,505,507,511,513,517,518,524,533,534,535,551,554,559,561,571,572,576,580,581,584,589,596,606,607,610,614,624,639,640,660,661,664,670,684,695,698,704,705,719,722,729,738,748,766,774,779,782,783,794,799,821,831,840,844,847,848,854,860,875,881,885,897,905,906,907,908,915,918,920,921,922,948,954,957,963,966,967,985,986,992,993,997,1002,1005,1013,1015,1022,1023],[32,52,160,210,253,387,474,476,509,542,549,560,563,578,609,634,662,699,700,735,746,747,756,763,807,858,865,889,900,934,980,991,1006,1014],[496,503,638,649,681,686,739,835],[541,591,977]]