[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":6,"6":7,"7":8,"8":9,"9":10,"10":11,"11":13,"12":14,"13":16,"14":17,"15":18,"16":20,"17":21,"18":22,"19":23,"20":25,"21":26,"22":27,"23":28,"24":29,"25":31,"26":34,"27":35,"28":36,"29":37,"30":38,"31":39,"32":40,"33":41,"34":42,"35":43,"36":44,"37":46,"38":47,"39":48,"40":49,"41":50,"42":51,"43":53,"44":54,"45":56,"46":57,"47":58,"48":59,"49":60,"50":62,"51":63,"52":64,"53":65,"54":66,"56":68,"57":69,"58":70,"59":71,"60":73,"61":74,"62":76,"63":77,"64":78,"65":81,"66":83,"67":85,"68":86,"69":87,"70":88,"71":89,"72":91,"73":93,"74":94,"75":95,"76":96,"77":97,"78":99,"79":100,"80":102,"81":104,"82":105,"83":107,"84":109,"85":110,"86":111,"87":113,"88":114,"89":115,"90":116,"91":117,"92":118,"93":119,"94":121,"96":123,"97":124,"98":127,"99":129,"100":131,"101":132,"102":134,"103":135,"104":136,"105":138,"106":139,"107":140,"108":141,"109":142,"110":143,"111":144,"112":145,"113":146,"114":149,"115":151,"116":153,"117":155,"118":156,"119":158,"120":159,"121":160,"122":161,"123":162,"124":164,"125":165,"126":166,"127":167,"128":168,"129":169,"130":170,"131":171,"132":172,"133":173,"134":174,"135":176,"136":177,"137":178,"138":179,"139":180,"140":181,"141":182,"142":187,"143":189,"144":190,"145":191,"146":193,"147":194,"148":195,"149":196,"150":197,"151":198,"152":200,"153":201,"154":202,"155":203,"156":204,"157":205,"158":206,"159":207,"160":208,"161":209,"162":211,"163":212,"164":214,"165":216,"166":217,"167":219,"168":220,"169":221,"170":222,"171":223,"172":224,"173":225,"174":226,"175":227,"176":228,"177":229,"178":230,"179":231,"180":234,"181":235,"182":237,"183":238,"184":240,"185":241,"186":242,"187":243,"188":245,"189":247,"190":249,"191":250,"192":251,"193":252,"194":253,"195":254,"196":259,"197":262,"198":263,"199":265,"200":266,"201":267,"202":269,"203":270,"204":272,"205":273,"206":274,"207":275,"208":276,"209":277,"210":278,"211":279,"212":281,"213":282,"214":283,"215":284,"216":285,"217":286,"218":287,"219":288,"220":290,"221":291,"222":292,"223":293,"224":294,"225":295,"226":296,"227":297,"228":298,"229":299,"230":300,"231":302,"232":303,"233":304,"234":305,"235":306,"236":307,"237":308,"238":309,"239":310,"240":311,"241":312,"242":313,"243":314,"244":315,"245":316,"246":317,"247":318,"248":319,"249":320,"250":321,"251":325,"252":326,"253":329,"254":331,"256":334,"257":335,"258":336,"259":337,"261":339,"262":340,"263":341,"264":342,"265":343,"266":344,"267":345,"268":346,"269":347,"270":348,"271":349,"272":350,"273":351,"274":352,"275":353,"276":355,"277":356,"278":357,"279":358,"281":360,"282":361,"283":362,"284":363,"285":364,"286":365,"287":366,"288":367,"289":368,"290":369,"291":370,"292":371,"293":372,"294":373,"295":374,"296":375,"297":376,"298":377,"299":379,"300":381,"301":382,"302":383,"303":384,"304":385,"305":387,"306":388,"307":389,"308":390,"309":391,"310":392,"311":393,"312":394,"313":395,"314":397,"315":398,"316":399,"317":400,"318":401,"319":402,"320":405,"321":407,"323":409,"324":410,"325":411,"326":412,"327":413,"328":414,"329":415,"330":416,"331":417,"332":418,"333":419,"334":420,"335":421,"336":422,"337":423,"338":424,"339":425,"340":426,"341":427,"342":428,"343":429,"344":432,"345":433,"346":434,"347":435,"348":437,"349":438,"350":439,"351":440,"352":441,"353":442,"354":443,"355":444,"356":445,"357":446,"358":447,"359":448,"360":449,"361":451,"363":454,"364":455,"365":457,"366":458,"367":459,"368":460,"369":461,"370":462,"371":463,"372":464,"373":465,"374":466,"375":467,"376":468,"377":470,"378":471,"379":473,"380":474,"381":475,"382":476,"383":478,"384":480,"385":482,"386":485,"387":486,"388":487,"389":488,"390":489,"391":490,"392":491,"393":492,"394":493,"395":494,"396":495,"397":496,"398":497,"399":498,"400":499,"401":502,"402":503,"403":504,"404":506,"405":507,"406":508,"407":509,"408":510,"409":513,"410":515,"411":516,"412":517,"413":519,"414":521,"415":522,"416":523,"417":524,"418":525,"419":526,"420":527,"421":528,"422":529,"423":531,"424":532,"425":534,"426":535,"427":536,"428":537,"429":538,"430":539,"431":540,"432":541,"433":542,"434":543,"435":544,"436":545,"437":548,"438":549,"439":553,"440":554,"441":555,"442":556,"443":557,"444":558,"445":559,"446":560,"447":561,"448":563,"449":564,"450":565,"451":566,"452":568,"453":570,"454":571,"455":573,"456":574,"457":575,"458":576,"459":577,"460":580,"461":582,"462":585,"463":587,"464":589,"465":591,"466":598,"467":599,"468":602,"469":609,"470":611,"471":618,"472":619,"473":621,"474":622,"475":625,"476":629,"477":631,"478":636,"479":638,"480":643,"481":650,"482":656,"483":659,"484":663,"485":669,"486":674,"487":678,"488":679,"489":680,"490":684,"491":685,"492":686,"493":687,"494":688,"495":691,"496":695,"497":696,"498":697,"499":698,"500":704,"501":706,"502":709,"503":710,"504":711,"505":713,"506":717,"507":718,"508":719,"509":720,"510":723,"511":724,"512":730,"513":733,"514":734,"515":745,"516":747,"517":752,"518":756,"519":760,"520":761,"521":762,"522":763,"523":764,"524":767,"525":768,"526":773,"527":776,"528":778,"529":779,"530":781,"531":782,"532":786,"533":787,"534":793,"535":794,"536":800,"537":802,"538":804,"539":807,"540":809,"541":811,"542":817,"543":818,"544":819,"545":820,"546":823,"547":824,"548":827,"549":831,"550":833,"551":834,"552":837,"553":844,"554":847,"555":852,"556":855,"557":859,"558":861,"559":864,"560":868,"561":870,"562":876,"563":877,"564":878,"565":880,"566":881,"567":882,"568":887,"569":894,"570":896,"571":903,"572":910,"573":911,"574":912,"575":913,"576":915,"577":918,"578":919,"579":920,"580":922,"581":923,"582":927,"583":928,"584":930,"585":931,"586":933,"587":936,"588":938,"589":939,"590":942,"591":943,"592":953,"593":956,"594":964,"595":966,"596":967,"597":971,"598":972,"599":973,"600":980,"601":983,"602":986,"603":997,"604":1002,"605":1003,"606":1004,"607":1006,"608":1008,"609":1014,"610":1016,"611":1019,"612":1021,"613":1024,"614":1025,"615":1026,"616":1039,"617":1040,"618":1042,"619":1043,"620":1044,"621":1048,"622":1055,"623":1059,"624":1062,"625":1065,"626":1078,"627":1079,"628":1080,"629":1087,"630":1094,"631":1096,"632":1100,"633":1101,"634":1102,"635":1103,"636":1106,"637":1107,"638":1108,"639":1110,"640":1113,"641":1115,"642":1120,"643":1121,"644":1122,"645":1123,"646":1125,"647":1126,"648":1128,"649":1130,"650":1134,"651":1135,"652":1138,"653":1139,"654":1140,"655":1141,"656":1144,"657":1147,"658":1150,"659":1151},{"0":5,"1":12,"2":19,"3":24,"4":30,"5":32,"6":33,"7":52,"8":61,"9":72,"10":75,"11":79,"12":82,"13":84,"14":90,"15":92,"16":98,"17":101,"18":103,"19":108,"20":112,"21":120,"22":125,"23":126,"24":128,"25":130,"26":137,"27":147,"28":150,"29":152,"30":154,"31":157,"32":163,"33":175,"34":183,"35":184,"36":185,"37":186,"38":188,"39":192,"40":199,"41":210,"42":213,"43":218,"44":232,"45":233,"46":236,"47":239,"48":244,"49":246,"50":255,"51":256,"52":257,"53":258,"54":260,"55":261,"56":264,"57":268,"58":280,"59":289,"60":301,"61":322,"62":323,"63":324,"64":327,"65":328,"66":330,"67":332,"68":354,"69":378,"70":380,"71":386,"72":396,"73":403,"74":406,"75":430,"76":431,"77":436,"78":450,"79":453,"80":456,"81":469,"82":477,"83":479,"84":481,"85":483,"86":484,"87":500,"88":501,"89":505,"90":511,"91":512,"92":514,"93":518,"94":520,"95":530,"96":533,"97":546,"98":547,"99":550,"100":551,"101":552,"102":562,"103":567,"104":569,"105":572,"106":581,"107":584,"108":588,"109":590,"110":593,"111":594,"112":595,"113":596,"114":597,"115":603,"116":605,"117":606,"118":608,"119":610,"120":613,"121":615,"122":617,"123":623,"124":624,"125":628,"126":633,"127":637,"128":640,"129":641,"130":642,"131":647,"132":648,"133":649,"134":654,"135":655,"136":658,"137":660,"138":667,"139":668,"140":671,"141":676,"142":677,"143":682,"144":683,"145":689,"146":690,"147":699,"148":700,"149":701,"150":707,"151":708,"152":714,"153":716,"154":727,"155":731,"156":732,"157":736,"158":739,"159":741,"160":742,"161":744,"162":746,"163":748,"164":751,"165":755,"166":758,"167":765,"168":772,"169":774,"170":777,"171":783,"172":784,"173":785,"174":788,"175":790,"176":791,"177":796,"178":797,"179":801,"180":803,"181":805,"182":808,"183":810,"184":813,"185":814,"186":826,"187":830,"188":839,"189":841,"190":848,"191":849,"192":850,"193":854,"194":856,"195":857,"196":860,"197":862,"198":863,"199":869,"200":883,"201":885,"202":889,"203":890,"204":895,"205":898,"206":901,"207":902,"208":905,"209":917,"210":924,"211":932,"212":935,"213":937,"214":941,"215":944,"216":948,"217":950,"218":951,"219":957,"220":958,"221":960,"222":962,"223":975,"224":976,"225":977,"226":979,"227":981,"228":982,"230":985,"231":987,"232":988,"233":989,"234":990,"235":991,"236":994,"237":996,"238":1001,"239":1009,"240":1010,"241":1011,"242":1012,"243":1013,"244":1027,"245":1032,"246":1034,"247":1035,"248":1036,"249":1038,"250":1041,"251":1045,"252":1049,"253":1051,"254":1052,"255":1058,"256":1063,"257":1064,"258":1068,"259":1072,"260":1073,"261":1075,"262":1083,"263":1091,"264":1092,"265":1104,"266":1105,"267":1109,"268":1114,"269":1117,"270":1118,"271":1131,"272":1133,"273":1137,"274":1146,"275":1149},[15,45,55,80,106,133,148,215,248,271,404,472,579,600,601,604,607,616,634,644,645,651,652,665,672,692,715,721,735,737,738,743,749,750,753,759,766,769,771,775,789,806,812,822,825,828,832,835,838,843,846,851,853,867,872,873,886,888,897,899,906,908,925,946,952,954,961,968,969,970,974,978,999,1005,1007,1017,1020,1022,1023,1028,1029,1031,1033,1037,1046,1054,1057,1060,1061,1066,1070,1074,1077,1081,1085,1086,1090,1095,1098,1111,1116,1127,1129,1142,1145],[583,586,592,614,620,630,632,635,653,657,662,664,670,673,681,702,712,722,725,726,754,757,780,792,795,798,840,858,884,893,907,909,929,945,963,965,992,998,1015,1030,1047,1067,1071,1084,1088,1099,1124,1132,1136,1143],{"0":626,"1":639,"2":675,"3":693,"4":703,"5":728,"6":740,"7":770,"8":799,"9":816,"10":821,"11":836,"12":842,"13":845,"14":865,"15":871,"16":875,"17":900,"18":914,"19":916,"20":926,"21":934,"22":947,"23":949,"24":955,"25":959,"26":993,"27":995,"28":1000,"29":1053,"30":1056,"31":1076,"33":1089,"34":1093,"36":1119,"37":1148},[578,627,646,661,666,694,705,829,866,874,879,891,892,904,1050,1097],[612,815,940,1069],{"1":921}]