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