[{"0":0,"1":1,"2":3,"3":5,"4":6,"5":7,"6":9,"7":10,"8":12,"9":13,"10":15,"11":16,"12":17,"13":18,"14":20,"15":21,"16":22,"17":23,"18":24,"19":25,"20":26,"21":27,"22":28,"23":29,"24":30,"25":31,"26":35,"27":36,"28":38,"29":41,"30":42,"31":43,"32":44,"33":45,"34":51,"35":54,"36":55,"37":59,"38":60,"39":63,"40":65,"41":66,"42":70,"43":71,"44":72,"45":73,"46":74,"47":75,"48":76,"49":77,"50":78,"51":79,"52":80,"53":81,"54":82,"55":83,"56":84,"57":85,"58":87,"59":89,"60":91,"61":94,"62":95,"63":98,"64":100,"65":101,"66":103,"67":105,"68":106,"69":107,"70":109,"71":110,"72":111,"73":113,"74":117,"75":118,"76":121,"77":122,"78":123,"79":124,"80":125,"81":126,"82":127,"83":130,"84":131,"85":132,"86":133,"87":134,"88":135,"89":136,"90":137,"91":138,"92":139,"93":140,"94":144,"95":145,"96":148,"97":150,"98":151,"99":153,"100":154,"101":156,"102":158,"103":161,"104":163,"105":164,"106":165,"107":168,"108":236,"109":237,"110":239,"111":240,"112":241,"113":242,"114":243,"115":244,"116":247,"117":248,"118":249,"119":250,"120":251,"121":253,"122":254,"123":255,"124":256,"125":257,"126":259,"127":263,"128":267,"129":269,"130":270,"131":271,"132":272,"133":273,"134":274,"135":277,"136":278,"137":279,"138":281,"139":282,"140":284,"141":285,"142":287,"143":288,"144":289,"145":290,"146":291,"147":292,"148":293,"149":295,"150":296,"151":297,"152":298,"153":299,"154":300,"155":302,"156":303,"157":304,"158":307,"159":308,"160":309,"161":310,"162":312,"163":314,"164":316,"165":318,"166":319,"167":326,"168":327,"169":330,"170":331,"171":337,"172":340,"173":341,"174":350,"175":354,"176":356,"177":357,"178":360,"179":361,"180":363,"181":367,"182":368,"183":370,"184":371,"185":372,"186":373,"187":375,"188":376,"189":378,"190":383,"191":384,"192":386,"193":388,"194":390,"195":392,"196":393,"197":395,"198":397,"199":399,"200":401,"201":410,"202":411,"203":412,"204":413,"205":414,"206":415,"207":416,"208":417,"209":418,"210":419,"211":420,"212":421,"213":422,"214":424,"215":425,"216":426,"217":427,"218":428,"219":429,"220":430,"221":431,"222":432,"223":434,"224":435,"225":436,"226":437,"227":438,"228":439,"229":441,"230":442,"231":443,"232":444,"233":448,"234":449,"235":451,"236":452,"237":453,"238":456,"239":458,"240":459,"241":460,"242":461,"243":464,"244":465,"245":466,"246":468,"247":469,"248":472,"249":475,"250":476,"251":477,"252":478,"253":479,"254":483,"255":484,"256":486,"257":487,"258":488,"259":489,"260":494,"261":496,"262":500,"263":501,"264":504,"265":505,"266":508,"267":509,"268":510,"269":511,"270":517,"271":518,"272":519,"273":526,"274":529,"275":531,"276":533,"277":537,"278":540,"279":541,"280":544,"281":545,"282":546,"283":547,"284":548,"285":549,"286":550,"287":551,"288":552,"289":553,"290":554,"291":555,"292":556,"293":557,"294":558,"295":562,"296":565,"297":568,"298":569,"299":570,"300":572,"301":584,"302":586,"303":587,"304":588,"305":596,"306":602,"307":604,"308":605,"309":608,"310":609,"311":611,"312":612,"313":615,"314":616,"315":617,"316":618,"317":619,"318":620,"319":621,"320":625,"321":626,"322":628,"323":630,"324":631,"325":632,"326":633,"327":634,"328":635,"329":636,"330":641,"331":642,"332":643,"333":652,"334":654,"335":655,"336":657,"337":659,"338":661,"339":663,"340":665,"341":668,"342":672,"343":673,"344":674,"345":675,"346":676,"347":677,"348":678,"349":679,"350":681,"351":682,"352":683,"353":685,"354":687,"355":689,"356":690,"357":691,"358":694,"359":695,"360":696,"361":698,"362":700,"363":701,"364":702,"365":703,"366":704,"367":706,"368":708,"369":709,"370":711,"371":715,"372":717,"373":728,"374":734,"375":738,"376":739,"377":746,"378":756,"379":758,"380":759,"381":760,"382":761,"383":762,"384":763,"385":764,"386":765,"387":769,"388":770,"389":771,"390":772,"391":773,"392":774,"393":775,"394":776,"395":779,"396":782,"397":783,"398":784,"399":786,"400":787,"401":788,"402":789,"403":790,"404":791,"405":792,"406":794,"407":795,"408":812,"409":813,"410":814,"411":822,"412":824,"413":826,"414":827,"415":837,"416":838,"417":839,"418":840,"419":841,"420":842,"421":843,"422":849,"423":851,"424":854,"425":855,"426":859,"427":860,"428":862,"429":863,"430":866,"431":867,"432":870,"433":873,"434":875,"435":878,"436":880,"437":881,"438":882,"439":883,"440":884,"441":885,"442":888,"443":889,"444":890,"445":891,"446":892,"447":893,"448":894,"449":895,"450":896,"451":897,"452":899,"453":900,"454":901,"455":902,"456":903,"457":904,"458":905,"459":910,"460":911,"461":913,"462":914,"463":916,"464":917,"465":918,"466":919,"467":920,"468":921,"469":923,"470":924,"471":925,"472":926,"473":927,"474":929,"475":930,"476":931,"477":932,"478":934,"479":935,"480":936,"481":938,"482":939,"483":941,"484":942,"485":944,"486":945,"487":947,"488":948,"489":949,"490":952,"491":953,"492":955,"493":956,"494":957,"495":958,"496":959,"497":961,"498":962,"499":963,"500":964,"501":967,"502":971,"503":972,"504":974,"505":975,"506":976,"507":977,"508":978,"509":979,"510":980,"511":981,"513":983,"514":984,"515":985,"516":986,"517":987,"518":988,"519":990,"520":991,"521":993,"522":997,"523":998,"524":999,"525":1000,"526":1002,"527":1003,"528":1004,"529":1006,"530":1008,"531":1010,"532":1011,"533":1012,"534":1014,"535":1015,"536":1016,"537":1017},[2,8,11,14,19,32,37,39,40,46,47,49,52,53,56,57,58,67,86,88,90,92,96,97,99,102,104,108,112,115,119,120,128,129,141,143,149,152,155,159,166,169,238,245,252,258,261,262,266,280,283,286,294,305,306,311,313,315,320,322,323,324,325,328,329,332,334,335,336,342,343,346,347,351,353,358,359,362,364,365,366,369,374,377,379,381,382,387,389,394,398,400,402,403,404,405,406,408,409,423,433,440,446,450,457,462,463,467,471,474,480,481,482,491,492,493,495,497,498,502,507,515,516,520,521,524,536,538,539,559,560,561,563,564,566,567,573,576,577,581,583,585,592,593,595,600,603,610,613,614,622,623,624,627,638,639,640,644,645,646,647,648,649,650,653,656,660,662,664,666,667,670,671,680,688,697,699,705,707,710,723,724,726,730,731,732,751,757,766,767,768,777,778,780,781,785,796,797,798,799,825,830,831,834,835,845,847,850,853,858,861,864,865,868,869,871,872,877,887,898,906,907,909,915,922,933,937,940,943,946,950,951,954,965,968,992,994,995,996,1005,1007,1020,1021],[34,48,50,61,68,69,93,114,116,142,146,157,162,167,170,172,173,174,175,176,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,196,197,198,199,203,204,205,210,211,213,215,217,219,220,222,225,227,229,230,231,232,234,235,246,260,264,268,317,333,339,344,345,355,380,385,391,407,445,447,454,455,470,473,485,490,499,503,506,512,514,523,525,527,528,530,532,534,535,543,571,574,578,589,594,598,601,606,607,629,637,651,658,669,684,686,692,693,713,714,716,721,725,727,729,740,743,750,793,800,801,802,803,804,805,806,807,808,809,810,811,815,816,820,828,832,833,856,874,886,908,912,928,966,969,970,973,1009],[4,33,62,64,147,160,171,177,195,200,201,202,206,207,208,209,212,214,216,218,221,223,228,233,301,321,348,349,352,396,513,522,542,575,579,580,582,590,591,597,599,712,733,735,741,752,817,818,819,844,960,989,1001],[224,226,265,275,276,338,718,719,722,736,737,744,745,748,749,753,754,821,823,829,846,848,857,1013,1018,1019,1022,1023],[720,742,755,836,879],[747],[852,876]]