[{"0":0,"1":1,"3":4,"4":5,"9":12,"10":13,"12":16,"14":18,"15":19,"16":20,"17":21,"18":22,"19":23,"20":24,"21":25,"24":28,"25":29,"27":31,"30":34,"32":36,"33":37,"35":39,"36":40,"40":45,"41":46,"42":47,"43":48,"44":49,"45":50,"47":52,"48":53,"53":59,"54":60,"55":61,"57":63,"58":64,"59":65,"60":66,"62":68,"64":70,"65":71,"68":74,"70":76,"72":79,"73":80,"76":83,"78":85,"79":86,"80":88,"82":90,"85":93,"89":97,"90":98,"91":99,"94":102,"95":103,"96":104,"97":105,"98":106,"99":107,"100":108,"101":110,"102":111,"103":112,"104":113,"106":115,"114":123,"115":124,"117":126,"118":127,"119":129,"122":133,"124":135,"131":143,"132":144,"133":145,"135":147,"137":150,"139":152,"144":159,"145":160,"146":161,"147":162,"148":163,"149":164,"150":165,"151":166,"152":167,"154":169,"155":170,"159":174,"161":176,"162":177,"163":178,"164":179,"165":180,"166":181,"168":183,"171":186,"173":188,"174":189,"175":190,"176":191,"177":192,"178":193,"182":197,"183":198,"184":199,"185":200,"186":202,"187":204,"189":208,"191":210,"193":213,"194":214,"195":215,"196":216,"197":218,"198":219,"199":221,"200":222,"201":223,"202":224,"204":226,"207":229,"208":230,"209":231,"210":232,"211":233,"213":235,"214":236,"215":237,"216":238,"217":239,"218":240,"219":241,"220":242,"221":243,"222":244,"223":245,"224":246,"225":247,"226":248,"227":249,"228":251,"229":252,"230":254,"233":257,"236":261,"238":263,"239":264,"240":265,"241":266,"242":267,"243":268,"244":270,"245":271,"246":272,"250":276,"251":278,"253":281,"256":284,"257":285,"258":286,"260":288,"261":289,"262":290,"263":291,"264":292,"265":293,"266":294,"267":295,"268":296,"271":299,"272":300,"273":302,"274":303,"276":305,"277":306,"278":308,"279":309,"280":310,"282":312,"283":313,"285":315,"286":316,"287":318,"288":319,"289":320,"290":321,"291":322,"293":325,"294":326,"295":327,"297":329,"298":330,"300":332,"302":334,"303":335,"305":337,"306":338,"307":339,"308":340,"310":342,"312":344,"314":346,"315":347,"318":350,"319":351,"320":352,"321":353,"322":355,"323":356,"324":357,"325":359,"326":360,"327":361,"328":363,"329":364,"331":366,"332":367,"334":369,"336":371,"338":373,"339":375,"340":376,"341":377,"342":378,"343":379,"344":380,"345":381,"346":382,"348":384,"349":385,"350":386,"351":387,"353":389,"356":392,"357":393,"359":396,"360":397,"361":398,"362":399,"365":402,"366":403,"367":404,"368":405,"370":409,"371":410,"376":415,"377":416,"378":417,"379":418,"380":419,"381":420,"382":421,"383":422,"385":424,"386":425,"387":426,"388":427,"389":428,"390":429,"391":430,"392":431,"394":433,"395":434,"396":435,"397":436,"399":438,"402":441,"403":442,"405":444,"406":445,"407":446,"411":451,"412":452,"413":453,"414":454,"415":455,"416":456,"417":457,"419":460,"422":463,"423":464,"425":466,"426":467,"427":468,"428":469,"430":471,"432":473,"434":475,"435":476,"436":477,"437":478,"438":479,"439":480,"440":483,"441":484,"442":485,"443":486,"444":487,"446":489,"447":490,"448":491,"449":492,"450":493,"451":494,"452":495,"453":496,"454":497,"455":498,"456":499,"457":502,"458":503,"459":504,"460":505,"461":506,"462":507,"463":508,"464":509,"465":510,"466":511,"467":517,"470":530,"471":531,"472":533,"473":537,"474":538,"475":543,"477":548,"478":555,"479":558,"480":560,"481":562,"482":570,"483":572,"485":579,"486":584,"487":595,"489":601,"490":602,"491":608,"492":610,"493":611,"494":616,"495":624,"496":627,"497":631,"498":636,"500":644,"501":646,"502":649,"503":651,"504":656,"505":662,"506":663,"507":670,"508":671,"509":674,"510":675,"511":677,"512":680,"515":691,"516":693,"517":698,"519":706,"520":708,"521":719,"522":723,"523":724,"524":725,"525":729,"527":735,"528":740,"529":744,"530":748,"531":751,"532":752,"534":761,"535":763,"536":765,"537":767,"538":771,"539":778,"540":784,"541":794,"544":802,"546":813,"547":816,"548":817,"549":823,"550":828,"551":830,"552":831,"553":832,"554":833,"555":834,"556":840,"557":843,"559":849,"561":859,"562":860,"563":868,"565":870,"566":871,"567":872,"568":873,"569":876,"570":877,"571":881,"572":887,"573":889,"574":895,"576":908,"578":916,"579":923,"580":927,"581":929,"582":936,"583":937,"585":942,"588":947,"589":956,"590":962,"591":964,"592":979,"593":981,"594":984,"595":995,"597":1002,"598":1003,"599":1006,"600":1012,"601":1015,"602":1020,"603":1022},{"0":2,"1":8,"2":15,"3":42,"4":78,"6":109,"9":136,"11":155,"12":157,"13":201,"14":203,"16":217,"17":220,"18":250,"19":253,"21":269,"22":277,"25":307,"27":323,"28":358,"29":362,"30":395,"32":408,"34":458,"35":481,"37":500,"38":513,"40":521,"41":522,"43":544,"45":549,"46":550,"47":552,"48":556,"50":566,"51":568,"53":594,"54":597,"55":598,"56":607,"58":619,"59":620,"60":626,"61":628,"62":629,"63":630,"64":632,"65":639,"66":640,"67":655,"68":661,"69":665,"70":667,"71":669,"72":672,"73":676,"74":683,"75":689,"76":694,"77":699,"78":704,"79":712,"80":713,"82":716,"83":726,"84":731,"85":743,"86":747,"87":750,"88":754,"89":756,"91":768,"92":775,"93":779,"94":783,"95":787,"96":788,"97":792,"99":795,"100":806,"101":814,"102":815,"104":827,"105":829,"106":841,"107":845,"108":851,"109":852,"110":854,"111":861,"112":863,"113":865,"114":866,"115":885,"116":892,"117":893,"118":898,"119":899,"120":901,"121":905,"122":906,"123":915,"124":919,"125":920,"127":930,"129":970,"130":975,"131":977,"132":987,"133":997,"134":999,"135":1008,"136":1011,"137":1017,"138":1018},{"0":9,"1":54,"2":207,"3":354,"5":501,"8":553,"9":561,"10":578,"13":634,"14":695,"15":697,"16":714,"19":753,"20":764,"23":808,"24":812,"25":825,"26":855,"28":862,"29":891,"30":897,"32":913,"35":943,"37":957,"39":980,"40":990,"41":996},{"0":212,"1":557,"4":580,"7":681,"10":837,"12":856,"15":982,"17":1019},{"1":532,"3":567,"6":720,"10":762},{"2":604,"6":790,"7":864,"8":890},{"13":880},{"9":732},{"2":540},[],[],[],[],[],[],[],[],[],[],[],[],[],[],[]]