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