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