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