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