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