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