[{"0":0,"1":1,"2":3,"3":5,"4":7,"5":9,"6":10,"7":11,"8":12,"9":13,"10":14,"11":15,"12":16,"13":17,"14":18,"15":19,"16":20,"17":21,"18":22,"19":23,"20":24,"21":25,"22":27,"23":28,"24":29,"25":32,"26":34,"27":36,"28":37,"31":40,"32":42,"33":43,"34":46,"35":49,"36":50,"37":51,"38":52,"39":53,"40":54,"41":55,"42":56,"43":58,"44":60,"45":61,"46":63,"47":64,"48":66,"49":68,"50":70,"51":71,"52":72,"53":73,"54":75,"55":76,"56":79,"57":81,"58":82,"59":84,"60":87,"61":88,"62":89,"63":90,"64":91,"65":92,"66":93,"67":94,"68":96,"69":97,"70":98,"71":99,"72":100,"73":101,"74":102,"75":103,"76":105,"77":106,"78":107,"79":108,"80":109,"81":110,"82":111,"83":113,"84":117,"85":118,"86":119,"87":120,"88":122,"89":123,"90":124,"91":125,"92":126,"93":127,"94":128,"95":129,"96":130,"97":131,"98":132,"99":133,"100":135,"101":136,"102":138,"103":139,"104":140,"105":141,"106":142,"107":145,"108":146,"109":147,"110":148,"111":150,"112":153,"113":155,"114":158,"115":160,"116":161,"117":163,"118":164,"119":165,"120":166,"121":167,"122":168,"123":170,"124":173,"125":174,"126":176,"127":177,"128":179,"129":180,"130":181,"131":182,"132":183,"133":184,"134":185,"135":186,"136":190,"137":191,"138":192,"139":195,"140":196,"141":197,"142":198,"143":199,"144":200,"145":204,"146":206,"147":207,"148":208,"149":210,"150":211,"151":212,"152":215,"153":216,"154":217,"155":218,"156":219,"157":220,"158":221,"159":223,"160":226,"161":227,"162":228,"163":229,"164":231,"165":232,"166":234,"167":235,"168":237,"169":239,"170":240,"171":241,"172":242,"173":243,"174":248,"175":249,"176":250,"177":251,"178":252,"179":253,"180":254,"181":256,"182":257,"183":259,"184":260,"185":261,"186":262,"187":263,"188":264,"189":266,"190":267,"191":268,"192":269,"193":271,"194":272,"195":273,"196":275,"197":276,"198":280,"199":282,"200":284,"201":285,"202":286,"203":287,"204":288,"205":289,"206":290,"207":291,"208":292,"209":293,"210":294,"211":295,"212":296,"213":297,"214":298,"215":299,"216":300,"217":301,"218":302,"219":304,"220":305,"221":307,"222":309,"223":310,"224":311,"225":312,"226":313,"227":314,"228":317,"229":318,"230":321,"231":322,"232":324,"233":325,"234":326,"235":327,"236":328,"237":329,"238":330,"239":331,"240":332,"241":334,"242":335,"243":338,"244":340,"245":341,"246":342,"247":344,"248":345,"249":346,"250":347,"251":348,"252":350,"253":351,"254":353,"255":354,"256":355,"257":356,"258":357,"259":358,"260":360,"261":362,"262":363,"263":365,"264":366,"265":370,"266":371,"267":373,"268":375,"269":376,"270":377,"271":378,"272":379,"273":381,"274":382,"275":383,"276":384,"277":385,"278":386,"279":387,"280":388,"281":389,"282":390,"283":391,"284":394,"285":395,"286":396,"287":398,"288":400,"289":401,"290":404,"291":407,"292":408,"293":409,"294":410,"295":411,"296":413,"297":414,"298":415,"299":416,"300":418,"301":419,"302":420,"303":422,"304":423,"305":424,"306":425,"307":426,"308":427,"309":430,"310":433,"311":434,"312":435,"313":436,"314":440,"315":442,"316":443,"317":444,"318":445,"319":447,"320":449,"321":450,"322":451,"323":453,"324":454,"325":455,"326":457,"327":458,"328":459,"329":460,"330":461,"331":462,"332":463,"333":464,"334":465,"335":467,"336":468,"337":469,"338":470,"339":471,"340":472,"341":473,"342":475,"343":476,"344":477,"345":478,"346":479,"347":480,"348":481,"349":482,"350":483,"351":484,"352":485,"353":486,"354":487,"355":488,"356":489,"357":490,"358":491,"359":492,"360":493,"361":494,"362":496,"363":497,"364":500,"365":501,"366":502,"367":503,"368":504,"369":505,"370":506,"371":507,"372":509,"373":510,"374":511,"375":514,"376":518,"377":520,"378":521,"379":522,"380":523,"381":524,"382":526,"383":528,"384":530,"385":531,"386":532,"387":534,"388":536,"389":537,"390":545,"391":547,"392":550,"393":551,"394":554,"395":557,"396":561,"397":563,"398":566,"399":567,"400":569,"401":570,"402":572,"403":573,"404":579,"405":581,"406":582,"407":585,"408":586,"409":587,"410":591,"411":593,"412":594,"413":597,"414":598,"415":599,"416":600,"417":606,"418":607,"419":608,"420":610,"421":611,"422":613,"423":621,"424":624,"425":625,"426":629,"427":630,"428":633,"429":634,"430":636,"431":637,"432":638,"433":639,"434":640,"435":646,"436":649,"437":651,"438":655,"439":658,"440":665,"441":666,"442":667,"443":668,"444":670,"445":672,"446":673,"447":674,"448":676,"449":679,"450":680,"451":681,"452":682,"453":687,"454":692,"455":693,"456":694,"457":695,"458":696,"459":697,"460":700,"461":702,"462":703,"463":705,"464":706,"465":707,"466":708,"467":710,"468":715,"469":716,"470":717,"471":719,"472":720,"473":723,"474":725,"475":729,"476":732,"477":739,"478":740,"479":742,"480":747,"481":748,"482":749,"483":750,"484":752,"485":755,"486":756,"487":758,"488":763,"489":764,"490":765,"491":766,"492":770,"493":771,"494":778,"495":781,"496":783,"497":784,"498":786,"499":788,"500":789,"501":790,"502":791,"503":795,"504":796,"505":800,"506":801,"507":802,"508":806,"509":807,"510":815,"511":819,"512":820,"513":826,"514":827,"515":830,"516":831,"517":832,"518":833,"519":834,"520":835,"521":839,"522":841,"523":842,"524":847,"525":848,"526":851,"527":852,"528":863,"529":864,"530":873,"531":877,"532":879,"533":885,"534":886,"535":887,"536":889,"537":890,"538":891,"539":892,"540":893,"541":897,"542":900,"543":901,"544":902,"545":905,"546":909,"547":913,"548":915,"549":919,"550":922,"551":925,"552":928,"553":929,"554":931,"555":932,"556":934,"557":936,"558":941,"559":942,"560":944,"561":947,"562":948,"563":950,"564":951,"565":960,"566":963,"567":968,"568":970,"569":973,"570":975,"571":977,"572":978,"573":979,"574":980,"575":987,"576":988,"577":989,"578":991,"579":993,"580":998,"581":1000,"582":1001,"583":1004,"584":1005,"585":1007,"586":1009,"587":1010,"588":1011,"589":1012,"590":1014,"591":1015,"592":1017,"593":1021,"594":1022},[2,4,6,8,26,31,33,35,41,44,48,59,65,67,69,74,77,78,83,86,95,104,121,137,143,144,149,151,152,157,162,169,171,175,178,187,189,193,194,203,205,213,214,222,224,225,230,233,238,245,246,247,255,258,265,270,274,277,278,279,283,303,306,308,316,319,320,323,333,336,337,339,343,349,361,364,367,369,372,374,380,393,397,399,402,403,405,406,417,421,428,431,432,438,439,441,446,448,452,456,474,499,508,512,513,515,517,519,527,529,533,535,538,540,541,548,555,556,558,559,560,562,564,571,574,575,576,577,583,588,590,596,601,602,603,605,617,618,620,623,626,627,631,635,641,643,644,647,653,654,657,659,661,662,663,664,671,675,677,678,683,684,688,689,691,704,709,712,713,718,721,722,724,727,730,731,733,734,735,741,744,745,746,753,754,757,759,762,767,769,777,779,782,785,793,794,797,798,799,803,805,809,810,812,813,814,817,818,821,823,828,829,836,837,840,844,845,855,857,858,860,862,867,869,870,871,872,875,876,881,882,883,888,894,895,896,899,904,906,908,912,914,918,921,924,926,927,937,938,939,940,945,946,952,953,954,956,957,958,959,962,964,965,969,974,983,985,986,990,992,995,999,1002,1003,1006,1008,1016,1019,1020,1023],[30,45,47,57,62,80,112,114,115,116,134,154,156,159,172,188,201,202,209,236,244,281,315,352,359,368,392,412,429,437,466,495,498,516,525,539,542,543,549,552,553,565,578,589,595,604,609,612,615,616,619,622,642,645,652,656,660,669,685,690,701,728,737,738,743,772,773,774,792,804,808,811,816,822,825,838,843,850,854,856,865,866,874,880,898,903,907,910,917,920,930,943,961,967,971,994,996,997],[85,568,584,628,698,699,711,751,760,853,861,868,878,933,949,966,972],{"0":544,"1":614,"2":632,"3":714,"4":761,"5":768,"7":846,"8":982,"9":1018},[580,592,650,726,736,776,859,911,916,923,955,976,1013],{"1":686,"2":775,"3":787,"4":824,"5":849,"6":884,"7":935,"8":981},[546],[984]]