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 On Tour (Posted on 2004-11-03)
Caesar Cypher & The Substitutions have been on tour, and as tradition dictates, the souvenir tour T-shirt bears a list of the cities visited on the back. But of course, since we're talking about one of Europe's leading cryptographic jazz combos, the list is in code:

080476
410488
631428083607
735616461
440401478
235476731
540631
616431
461546410

The list contains no information apart from the city names. Can you work out their itinerary?

 See The Solution Submitted by Jenny Turner Rating: 3.8750 (8 votes)

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 re: Number hints | Comment 23 of 28 |
(In reply to Number hints by Jenny Turner)

Indeed in using this code, triplets would begin with 1 with higher frequency than average, as letter pairs beginning with E are included in this group.

The sample set included only cities with an even number of letters, but if a space is assigned the value zero, cities with an odd number of letters or an internal space can also be considered.  Encoding a list of 520 European city names resulted in a total of 2148 triplets.  The average beginning digit therefore had 238.66... occurrences, and the first digit was 1 in 335 cases. The breakdown by first digit is

`0  2921  3352  1573  1744  3715  1626  4787  1328   47`

I assume the large number beginning with 6 results from the frequency of S in general plus place names beginning "saint" or "san".

`DURRES                  153620181SHKODER                 638376135600TIRANA                  670601461ANDORRA LE VELLA        045146620030405024173401BAD ISCHL               061130321108400BADEN                   061135460BRAUNAU                 080053461700BREGENZ                 080167175860BRENNER                 080175465600EISENSTADT              170635481661152GARMISCH                231614321108GRAZ                    250058GROSSGLOCKNER PASS      250521637416112465600531651INNSBRUCK               315481080703360KREMS                   380174630LINZ                    410488MAYRHOFEN               431850276205460MELK                    435412SALZBURG                631428083607SAINT WOLFGANG          631315660776406231467VIENNA                  740175461MINSK                   440481360ANTWERP                 045685180530BASTOGNE                061652507465BRUGES                  080707181BRUSSELS                080721635421GHENT                   238175660GOSSELIES               246651173305630LIEGE                   410167160OSTENDE                 521665464160WATERLOO                761665613516MOSTAR                  446652050SARAJEVO                631601335746PLOVDIV                 543524140730SOFIA                   646210030VARNA                   731615030DUBROVNIK               153080524470360RIJEKA                  610335361SPLIT                   647410660ZAGREB                  861250162BRNO                    080476CESKE BUDEJOVICE        105642160083135346740105KARLOVY VARY            361613524830731627PLZEN                   543865460PRAGUE                  550037705AALBORG                 031402520230AARHUS                  031608721COPENHAGEN              116535468037175ESBJERG                 181071180230HELSINGOR               265421315246600ODENSE                  504175635OSTERBY                 521665602830RANDERS                 601464180630RODBYHAVN               616132838054460RONNE                   616475160ROSKILDE                616642313135PORTOFERRAIO            546622506180601316BATH                    061668BERWICK                 065625303360BIRMINGHAM              070614315238044BLACKPOOL               073033377516400BOURNEMOUTH             076720465446722260BRADFORD                080034216604BRISTOL                 080321676400CAMBRIDGE               101432610137160CANTERBURY              101482180083627CARLISLE                101613321405CHATSWORTH              108052655520668COVENTRY                116735482627DERBY                   135602830DOVER                   146735600HASTINGS                261652315251LANDS END               401464630175130LEEDS                   405164630LEICESTER               405303181665600LIVERPOOL               410735617516400LONDON                  416464515MANCHESTER              431463265652180NEWCASTLE               465763051673160NORWICH                 476625303260NOTTINGHAM              476682315238044OXFORD                  526216604PLYMOUTH                543844523668PORTSMOUTH              546622644523668SALISBURY               631410632720830SHEFFIELD               638166210173130SOUTHAMPTON             646722261447676460STAMFORD                652044216604STOCKTON                652503382515STRATFORD               652601666520130THIRSK                  668320642WINDSOR                 770464646600YORK                    846612TALLINN                 661413315460TARTU                   661622700TORSHAVN                676621261745ESPOO                   181546500HELSINKI                265421315370KUOPI                   383517300OULU                    523423ROVANIEMI               616731470174300TAMPERE                 661447180160TURKU                   683612700VAASA                   731051030AJACCIO                 041033110500ALBERTVILLE             043065622740413160BASTIA                  061652301BIARRITZ                070050610688BLOIS                   073510630BORDEAUX                076604161726BREST                   080181660CALAIS                  101401321CANNES                  101475181CARCASSONNE             101603051646475160CHARTRES                108050680181CHERBOURG               108180076720230CLERMONT FRERRAND       113180446482006605620045130COLMAR                  116414050DIJON                   140346460DUNKIRK                 153472320360FONTAINBLUEAU           216482040462423161700GRENOBLE                250175502405LA ROCHELLE             401020503265413160LE HAVRE                405008054605LE MANS                 405014045630LILLE                   410413160LIMOGES                 410446235630LOURDES                 416720135630LYON                    427515MARSEILLE               431621170413160METZ                    435688MONT SAINT MICHEL       446482021040482014303265400NANTES                  461482181NICE                    470105NIMES                   470435630OMAHA BEACH             514038030065033260ORLEANS                 520405045630PARIS                   531610630POITIERS                546322305621REIMS                   605314630SEDAN                   635131460SAINT ETIENNE           631315660182305475160SAINT LO                631315660416SAINT NAZAIRE           631315660461861320160STRASBOURG              652601632523607TOULON                  676713515TOULOUSE                676713523635TOURS                   676720630VERGEZE                 735607188160VERSAILLES              735621040413181SUKHUMI                 653368714300AACHEN                  031108175AALEN                   031405460AUGSBURG                053251083607BAHRDORF                061280146606BERCHTESGADEN           065603282181231135460BERLIN                  065613315BERNKASTEL              065615361652173BOCHUM                  076108714BONN                    076475BORKUM                  076612714BRAUNSCHWEIG            080053481108765307BREMEN                  080174175BREMERHAVEN             080174180261735460CHEMNITZ                108174470688COCHEM                  116108174COLOGNE                 116416245160COTTBUS                 116682083630DARMSTADT               131614652034660DORTMUND                146622453464DRESDEN                 150181135460DUISBURG                153321083607DUSSELDORF              153651173146606EISENACH                170635461108EMDEN                   174135460ERFURT                  180223622ESSEN                   181635460FLENSBURG               213175632720230FRANKFURT               220045366720660FRANKFURT ODER          220045366720660504180FREIBURG                220170083607FURSTENFELDBRUCK        223621665466173132623112FUSSEN                  223651175GARMISCH PARTENK        231614321108017050665472GAUTING                 231722315230GILCHING                240403270467GOTTINGEN               246682315235460GUNDELSHEIM             253464173638170430HALBERSTADT             261402180652034660HALLE                   261413160HAMBURG                 261432720230HANFELD                 261466173130HANNOVER                261475524180HEIDELBERG              265304173065607HEIDWINKEL              265304770472173HEILBRONN               265313080515460HELMSTEDT               265414652164660HOF                     276200JENA                    335461KAISERSLAUTERN          361321180643053665615KARLSRUHE               361613650708160KASSEL                  361651173KIEL                    370173KOBLENZ                 376073175860KREFELD                 380166173130LEIPZIG                 405317870230LORELEI                 416605405300LUBECK                  423065112MAGDEBURG               431234162720230MAINZ                   431315860MANNHEIM                431475265314MEISSEN                 435321635460MINDEN                  440464175MUNICH                  453470108NEUMUNSTER              465714715652180NIEDER WOLLSTADT        470164180025513421661152NUREMBERG               483605432180230OBERAMMERGAU            502180044435607053PASSAU                  531651053POTSDAM                 546681131430PUTTGARDEN              553682231604175QUEDLINBURG             583164410462720230REGENSBURG              605235481083607ROSTOCK                 616652503360ROTHENBURG              616668175083607RUDESHEIM               623135638170430SAARBRUCKEN             631050080703365460SASSNITZ                631651470688SCHLESWIG               633273181770230SCHWABISCH HALL         633285032321108008043400SCHWERIN                633285180315STARNBERG               652050462180230STENDAL                 652175131400STUTTGART               652722667050660TRIER                   680305600TUBINGEN                683070467175UBERLINGEN              702180410467175ULM                     713430VEGESACK                735235631112WEDEL                   765135400WEIMAR                  765314050WIESBADEN               770181061135460WITTENBERG              770682175065607WOLFSBURG               776406632720230WUPPERTAL               783547180661400WURZBURG                783628083607ZITTAU                  870682053ZWICKAU                 885303361700GIBRALTAR               240080043661600ATHENS                  052265481CANDIA                  101464301CNOSSUS                 115521653630IRAKLION                320042410515LARISSA                 401610651030MOUNT OLYMPUS           446715660513844553630PIRAEUS                 540601183630SPARTA                  647050661THEBES                  668162181THESSALONIKI            668181631416470370SAINT PETER PORT        631315660535665600546622BUDAPEST                083131535652DEBRECEN                135080163175GYOR                    257520MISKOLC                 440642513100PECS                    535121BLARNEY                 073050465830COBH                    116068CORK                    116612DONEGAL                 146465231400DUBLIN                  153073315GALWAY                  231425057KILLARNEY               370413050465830LIMERICK                410435610112SHANNON                 638045476460SLIGO                   643307500TRALEE                  680043165WATERFORD               761665606520130AGRIGENTO               037610235482500AOSTA                   046652030ASSISI                  051640640BARI                    061610BOLOGNA                 076416245030BOLZANO                 076428045500BRINDISI                080315140640BUSSOLENGO              083651513175246CAGLIARI                101243301610CALTAVUTURO             101422054722720500CAPRI                   101550300CASSINO                 101651315500CATANIA                 101661470030COMO                    116446CORTINA DAMPEZZO        116622315030131447188876FLORENCE                213520175105GENOA                   235476030MESSINA                 435651315030MILAN                   440401460NAPLES                  461543181PADUA                   531153030PALERMO                 531405614500PISA                    540631POMPEII                 546447170300PORTOFINO               546622506315500RAVENNA                 601735475030ROME                    616435SALERNO                 631405615500STRESA                  652605631SYRACUSE                657601123635TRIESTE                 680305652160TURIN                   683610460VENICE                  735470105VERONA                  735616461BEERENBERG              065180175065607SAINT HELIER            631315660265410180URALSK                  720043642DAUGAVPILS              131707054540421RIGA                    610231VADUZ                   731153860KAUNAS                  361715051KLAIPEDA                373040535131VILNIUS                 740415323630ESCH                    181108LUXEMBOURG              423805432523607VIANDEN                 740045135460SLIEMA                  643305431VALLETTA                731413182661CHISINAU                108321315053MONTE CARLO             446482160101613500ALKMAAR                 043374031600AMSTERDAM               044652180131430ARNHEM                  050468174DELFT                   135406660DEN HAAG                135460261037EINDHOVEN               170464276735460EMMELLOORD              174435413516604ENSCHEDE                175633265135GRONINGEN               250515315235460HAARLEM                 261050405430NIJMEGEN                470344167175ROTTERDAM               616682180131430UTRECHT                 722605108660BELFAST                 065406051660LONDONDERRY             416464515135620830ALESUND                 043181715130BERGEN                  065607175BODA                    076131FLAM                    213044HAMMERFEST              261444180205652HELL                    265413LILLEHAMMER             410413168044435600NARVIK                  461624312NORDKINN                476604370475NORTH CAPE              476622260101535OSLO                    521416STAVANGER               652054045235600TROMSO                  680514646TRONDHEIM               680515138170430GDANSK                  234045642KATOWICE                361676770105KRAKOW                  380042525LODZ                    416158LUBLIN                  423073315POZNAN                  546875045SZCZECIN                658128163315WARSAW                  761621055WROCLAW                 780503401760BRAGA                   080037030CABO DA ROCA            101076004030616101ESTORIL                 181676610400FARO                    201616LISBON                  410632515NAZARE                  461861605PORTO                   546622500SETUBAL                 635683061400BRASOV                  080051524BUCHAREST               083108050181660CLUJ                    113711CONSTANTA               116481661482030PLOESTI                 543505652300TIMISOARA               670440646050030ARKHANGELSK             050368045235421360ASTRAKHAN               051680042261460BORODINO                076616140476ENGELS                  175235421KALININGRAD             361410470467601130KAZAN                   361861460KRASNODAR               380051476131600KURSK                   383621360MOSCOW                  446633525MURMANSK                453614045642NIZHNY NOVGOROD         470868487015524246616130NOVGOROD                476737520504PERM                    535614PETROZAVODSK            535680528054504642PSKOV                   551376730ROSTOV                  616652524SAMARA                  631431601SARATOV                 631601676730SOVETSK                 646735681360SAINT PETERSBURG        631315660535665621083607STAVROPOL               652054616546400TULA                    683401UFA                     706030VOLGOGRAD               746407507601130VOLOGDA                 746416234030VORONEZH                746616465868YAROSLAVL               831616643054400YASNAYA POLYANA         831645057030546427045030SAN MARINO              631460431610476ABERDEEN                032180135175AYR                     057600BLAIR ATHOLL            073040600052276413DUMFRIES                153436610181DUNDEE                  153464165EDINBURGH               164315083607260FORT WILLIAM            216622025313410044GLASGOW                 243051246760GRETNA GREEN            250182461007605175INVERNESS               315735615181630JOHN OGROATS            346275016250501681KYLE OF LOCHALSH        387405016200416108043638PERTH                   535622260PETERHEAD               535665608161130SCAPA PIER              633047030540180SAINT ANDREWS           631315660045150185630SAINT FERGUS            631315660205607721STIRLING                652320410467STONEHAVEN              652515168054175STORNAWAY               652520461761830THURSO                  668720646TROON                   680516460LERWICK                 405625303360BRATISLAVA              080052321401731LJUBLJANA               411702411045030ALICANTE                043303045665BARCELONA               061603173515030BILBAO                  070402046BURGOS                  083607521CADIZ                   101140860CARTAGENA               101622037175030CORDOBA                 116604502030GRANADA                 250045034030IBIZIA                  302328301LEON                    405515MADRID                  431150304MALAGA                  431401231ORVIEDO                 520740164500PALMA                   531414030PALMA DE MALLORCA       531414030135014043416603030PAMPLONA                531447416461PUNTA MARROQUI          553482030431620518710SAN SEBASTIAN           631460635061652301460SARAGOSSA               631601246651030SEGOVIA                 635246740030SEVILLE                 635740413160TOLEDO                  676405146VALENCIA                731405463301VALLADOLID              731413034513304ZARAGOZA                861601246861LONGYEARBYEN            416467835050087175GALLIVARE               231413324050160GOTEBORG                246665076607GOTEBORG                246665076607HASSLEHOLM              261651405276414HELSINGBORG             265421315232520230JONKOPING               346472517315230KALMAR                  361414050KIRUNA                  370623461LANDSKRONA              401464642616461LINKOPING               410472517315230LJUNGBY                 411715232830MALMO                   431414500NORRKOPING              476620376540467OSTERSUND               521665621715130STOCKHOLM               652503368513430UPPSALA                 717551043030VASTERAS                731652180051VAXJO                   731811500VISBY                   740632830BASEL                   061635400BERN                    065615BRUNNEN                 080715465460CHUR                    108720GENEVA                  235465731GSTAAD                  251661034INTERLAKEN              315665613042175LAUSANNE                401721045465LUCERNE                 423105615160LUGANO                  423231476SCHWYZ                  633285858SIMPLON                 640447416460SAINT GALLEN            631315660231413175SAINT GOTTHARD          631315660246682261604SAINT MORITZ            631315660446610688THUN                    668715WINTERTHUR              770482180668720ZERMATT                 865614052660ZURICH                  883610108ISTANBUL                321661462713DNEPROPETROVSK          145177616535680524642DONETSK                 146465681360KHARKOV                 368050376730KIEV                    370184KIROVOGRAD              370616746250034KRIVOY ROG              380324527020507LUGANSK                 423231481360LVOV                    424524NOVOGRAD                476746250034ODESSA                  504181631POLTAVA                 546422054030SEVASTAPOL              635731652047513VLADIMIR VOLYNSKIY      743034314320024513845642327YALTA                   831422030ZAPOROZHYE              861546616868835VATICAN CITY            731670101460110687CARDIFF                 101604306200FFESTINIOG              206181670470507HOLYHEAD                276427265034SWANSEA                 655045635030BELGRADE                065407601135SKOPJE                  642517335`

 Posted by Charlie on 2004-11-11 12:38:00

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