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