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