[{"0":0,"2":2,"3":3,"4":4,"5":5,"6":7,"7":8,"8":10,"9":12,"10":13,"11":14,"12":15,"13":16,"14":18,"15":19,"16":24,"17":25,"18":26,"19":29,"20":30,"21":32,"22":33,"23":34,"24":36,"25":37,"26":38,"27":39,"29":41,"30":42,"31":43,"32":44,"33":45,"34":46,"35":47,"36":48,"37":49,"38":52,"39":53,"40":54,"41":55,"42":56,"43":57,"44":58,"45":60,"46":65,"47":68,"48":69,"49":72,"50":75,"51":78,"52":80,"53":81,"54":82,"55":84,"56":87,"57":88,"58":90,"59":91,"60":94,"61":95,"62":96,"63":98,"64":99,"65":100,"66":105,"67":108,"68":109,"69":110,"70":111,"71":118,"72":119,"73":121,"74":122,"75":125,"76":126,"77":127,"78":128,"79":129,"81":257,"82":258,"83":259,"84":260,"85":261,"86":264,"87":265,"88":266,"89":267,"90":269,"91":272,"93":276,"94":277,"95":278,"96":279,"97":280,"98":281,"99":282,"100":284,"101":285,"102":289,"103":290,"105":292,"106":293,"107":294,"108":295,"109":296,"110":297,"112":302,"113":303,"114":304,"115":305,"116":306,"117":307,"118":308,"119":310,"120":312,"121":313,"122":315,"123":316,"124":317,"125":318,"126":319,"127":320,"128":321,"129":323,"130":325,"131":326,"132":327,"133":328,"134":329,"135":331,"136":332,"137":334,"138":335,"139":341,"140":342,"141":343,"142":344,"143":345,"144":346,"145":347,"146":349,"147":350,"148":351,"149":352,"150":353,"151":355,"152":359,"153":360,"154":361,"155":362,"156":363,"157":365,"158":366,"159":368,"160":369,"161":370,"162":373,"163":375,"164":378,"165":379,"166":380,"167":381,"168":382,"169":383,"170":513,"171":524,"172":525,"173":528,"174":535,"175":538,"176":539,"177":540,"178":554,"179":565,"180":566,"181":567,"182":572,"183":580,"184":581,"185":582,"186":583,"187":586,"188":588,"189":589,"190":591,"191":595,"192":602,"193":604,"194":616,"195":618,"196":619,"197":626,"198":628,"199":629,"200":630,"201":638,"202":643,"203":649,"204":650,"205":651,"206":655,"207":658,"208":660,"209":662,"210":663,"211":664,"212":665,"213":666,"214":667,"215":675,"216":679,"217":681,"218":687,"219":695,"220":699,"221":700,"222":703,"223":705,"224":713,"225":715,"226":716,"227":724,"228":729,"229":737,"230":738,"231":739,"232":740,"233":743,"234":745,"235":747,"236":748,"237":751,"238":752,"239":753,"240":754,"241":757,"242":765,"243":769,"244":774,"245":780,"246":787,"247":794,"248":795,"249":798,"250":814,"251":815,"252":817,"253":828,"254":834,"255":836,"256":841,"257":842,"258":845,"259":848,"260":851,"261":853,"262":868,"263":871,"264":879,"265":882,"266":889,"267":892,"268":893,"269":900,"270":902,"271":914,"272":920,"273":922,"274":925,"275":930,"276":931,"277":932,"278":939,"279":948,"280":949,"281":954,"282":956,"283":958,"284":960,"285":971,"286":972,"287":978,"288":983,"289":984,"290":989,"291":990,"292":992,"293":994,"294":1010,"295":1011,"296":1013,"297":1019,"298":1022},{"0":9,"1":11,"2":20,"3":21,"4":23,"5":27,"6":28,"7":31,"8":35,"9":50,"10":51,"11":61,"12":66,"13":74,"14":76,"15":77,"16":79,"17":83,"18":85,"19":89,"20":92,"21":93,"22":102,"23":103,"24":106,"25":107,"26":112,"27":113,"28":115,"29":116,"30":117,"31":120,"32":123,"34":133,"35":141,"36":144,"37":146,"38":147,"40":153,"41":156,"42":157,"43":158,"44":159,"45":160,"46":161,"47":163,"48":165,"49":170,"50":174,"51":175,"52":182,"53":187,"54":190,"55":192,"56":193,"57":194,"59":198,"60":204,"61":206,"62":208,"63":210,"64":211,"65":213,"66":215,"67":217,"68":219,"69":220,"70":221,"71":222,"72":226,"73":228,"74":229,"75":230,"76":231,"77":232,"78":234,"79":235,"80":237,"81":239,"82":240,"83":243,"84":244,"85":247,"86":250,"87":255,"88":262,"89":263,"90":268,"91":270,"92":271,"93":287,"94":298,"95":299,"96":300,"97":309,"98":311,"99":314,"100":322,"101":330,"102":336,"103":337,"104":338,"105":356,"106":357,"107":364,"108":374,"109":384,"110":385,"111":394,"112":396,"113":401,"114":402,"115":403,"116":404,"117":406,"118":407,"119":408,"120":410,"121":412,"122":414,"123":422,"124":429,"125":430,"126":431,"127":437,"128":440,"129":442,"130":443,"131":445,"132":449,"134":451,"135":452,"136":453,"137":454,"138":455,"139":459,"140":460,"141":463,"142":464,"143":466,"144":475,"145":477,"146":480,"147":485,"148":487,"149":488,"150":490,"151":491,"152":493,"153":495,"154":499,"155":500,"156":501,"157":502,"158":504,"159":505,"160":508,"161":510,"162":511,"163":514,"164":516,"165":517,"166":521,"167":534,"168":536,"169":543,"170":544,"171":545,"172":549,"173":550,"174":552,"175":555,"176":557,"177":568,"178":569,"179":571,"180":573,"181":577,"182":579,"183":587,"184":590,"185":594,"186":596,"187":598,"188":599,"189":600,"190":601,"191":603,"192":607,"193":609,"194":611,"195":614,"196":617,"197":621,"198":627,"199":632,"200":633,"201":634,"202":635,"203":642,"204":644,"205":647,"206":652,"207":654,"208":656,"209":661,"210":669,"211":670,"212":672,"213":673,"214":683,"215":686,"216":688,"217":694,"218":698,"219":701,"220":702,"221":712,"222":717,"223":718,"224":725,"225":726,"226":728,"227":731,"228":735,"229":736,"230":755,"231":763,"232":767,"233":771,"234":773,"235":778,"236":779,"237":781,"238":782,"239":784,"240":786,"241":788,"242":793,"243":796,"244":803,"245":804,"246":807,"247":810,"248":818,"249":820,"250":824,"251":826,"252":827,"253":831,"254":833,"255":838,"256":850,"257":855,"258":857,"259":858,"260":861,"261":862,"262":865,"263":867,"264":874,"265":875,"266":880,"267":884,"268":886,"269":887,"270":890,"271":896,"272":904,"273":905,"274":906,"275":909,"276":910,"277":912,"278":927,"279":928,"280":933,"281":936,"282":938,"283":940,"284":942,"285":944,"286":945,"287":952,"288":961,"289":964,"290":965,"291":968,"292":969,"293":973,"294":977,"295":979,"296":981,"297":982,"298":985,"299":991,"300":993,"301":997,"302":1006,"303":1007,"304":1014,"305":1018,"306":1021},[6,17,59,62,63,64,67,71,73,86,97,101,104,114,124,132,135,136,138,139,140,142,149,152,155,164,168,169,171,172,173,177,178,179,181,183,186,188,189,196,197,199,200,203,209,212,214,218,224,227,233,236,242,245,246,249,252,254,273,283,286,288,333,339,340,348,354,358,367,371,376,377,386,387,388,393,398,400,405,409,411,413,415,416,417,419,420,421,424,427,432,433,435,438,441,446,447,456,457,458,461,462,465,467,468,472,478,479,482,484,486,489,492,494,497,503,507,509,512,515,518,520,522,526,530,537,542,546,547,553,556,558,559,574,575,585,593,610,615,622,637,641,645,648,659,668,674,678,680,682,684,691,692,693,696,706,707,710,714,719,721,722,723,733,742,744,746,749,750,756,758,760,775,776,790,799,806,822,835,837,840,844,847,870,872,876,877,883,894,895,901,903,907,911,913,916,917,918,919,921,926,935,947,950,955,957,959,962,970,980,987,995,999,1003,1008,1017],[70,131,134,137,143,145,151,162,166,167,180,184,185,191,201,202,205,207,216,223,248,251,275,324,372,390,391,392,395,397,399,418,425,426,428,434,436,439,444,448,469,470,471,473,474,476,481,483,498,506,527,532,541,551,560,561,562,563,570,576,578,597,613,623,624,657,671,676,677,689,697,720,730,732,734,741,762,772,777,802,805,809,816,823,825,832,839,843,846,852,856,863,864,873,885,888,899,941,943,951,963,986,1000,1009,1015,1016,1023],[22,148,154,176,225,238,241,253,389,423,496,523,531,639,709,727,801,813,819,821,860,891,897,908,934,966,974,1020],[529,592,608,631,636,708,764,849,859,923,1002,1012],[519,584,766,789,967],[620,640,704,761,811,812,878,937,975,996],[548,612,653,759,783,785,830,898,924,929,946,953],[533,606,690,768,791,797,800,829,854,869,881,988,998,1001],[685,792,866,976],[646,711,808,1004,1005],[564,605,625],[770,915]]