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On Tour (Posted on 2004-11-03) Difficulty: 3 of 5
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: 4.0000 (9 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Number hints | Comment 23 of 29 |
(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  292
1  335
2  157
3  174
4  371
5  162
6  478
7  132
8   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                  153620181
SHKODER                 638376135600
TIRANA                  670601461
ANDORRA LE VELLA        045146620030405024173401
BAD ISCHL               061130321108400
BADEN                   061135460
BRAUNAU                 080053461700
BREGENZ                 080167175860
BRENNER                 080175465600
EISENSTADT              170635481661152
GARMISCH                231614321108
GRAZ                    250058
GROSSGLOCKNER PASS      250521637416112465600531651
INNSBRUCK               315481080703360
KREMS                   380174630
LINZ                    410488
MAYRHOFEN               431850276205460
MELK                    435412
SALZBURG                631428083607
SAINT WOLFGANG          631315660776406231467
VIENNA                  740175461
MINSK                   440481360
ANTWERP                 045685180530
BASTOGNE                061652507465
BRUGES                  080707181
BRUSSELS                080721635421
GHENT                   238175660
GOSSELIES               246651173305630
LIEGE                   410167160
OSTENDE                 521665464160
WATERLOO                761665613516
MOSTAR                  446652050
SARAJEVO                631601335746
PLOVDIV                 543524140730
SOFIA                   646210030
VARNA                   731615030
DUBROVNIK               153080524470360
RIJEKA                  610335361
SPLIT                   647410660
ZAGREB                  861250162
BRNO                    080476
CESKE BUDEJOVICE        105642160083135346740105
KARLOVY VARY            361613524830731627
PLZEN                   543865460
PRAGUE                  550037705
AALBORG                 031402520230
AARHUS                  031608721
COPENHAGEN              116535468037175
ESBJERG                 181071180230
HELSINGOR               265421315246600
ODENSE                  504175635
OSTERBY                 521665602830
RANDERS                 601464180630
RODBYHAVN               616132838054460
RONNE                   616475160
ROSKILDE                616642313135
PORTOFERRAIO            546622506180601316
BATH                    061668
BERWICK                 065625303360
BIRMINGHAM              070614315238044
BLACKPOOL               073033377516400
BOURNEMOUTH             076720465446722260
BRADFORD                080034216604
BRISTOL                 080321676400
CAMBRIDGE               101432610137160
CANTERBURY              101482180083627
CARLISLE                101613321405
CHATSWORTH              108052655520668
COVENTRY                116735482627
DERBY                   135602830
DOVER                   146735600
HASTINGS                261652315251
LANDS END               401464630175130
LEEDS                   405164630
LEICESTER               405303181665600
LIVERPOOL               410735617516400
LONDON                  416464515
MANCHESTER              431463265652180
NEWCASTLE               465763051673160
NORWICH                 476625303260
NOTTINGHAM              476682315238044
OXFORD                  526216604
PLYMOUTH                543844523668
PORTSMOUTH              546622644523668
SALISBURY               631410632720830
SHEFFIELD               638166210173130
SOUTHAMPTON             646722261447676460
STAMFORD                652044216604
STOCKTON                652503382515
STRATFORD               652601666520130
THIRSK                  668320642
WINDSOR                 770464646600
YORK                    846612
TALLINN                 661413315460
TARTU                   661622700
TORSHAVN                676621261745
ESPOO                   181546500
HELSINKI                265421315370
KUOPI                   383517300
OULU                    523423
ROVANIEMI               616731470174300
TAMPERE                 661447180160
TURKU                   683612700
VAASA                   731051030
AJACCIO                 041033110500
ALBERTVILLE             043065622740413160
BASTIA                  061652301
BIARRITZ                070050610688
BLOIS                   073510630
BORDEAUX                076604161726
BREST                   080181660
CALAIS                  101401321
CANNES                  101475181
CARCASSONNE             101603051646475160
CHARTRES                108050680181
CHERBOURG               108180076720230
CLERMONT FRERRAND       113180446482006605620045130
COLMAR                  116414050
DIJON                   140346460
DUNKIRK                 153472320360
FONTAINBLUEAU           216482040462423161700
GRENOBLE                250175502405
LA ROCHELLE             401020503265413160
LE HAVRE                405008054605
LE MANS                 405014045630
LILLE                   410413160
LIMOGES                 410446235630
LOURDES                 416720135630
LYON                    427515
MARSEILLE               431621170413160
METZ                    435688
MONT SAINT MICHEL       446482021040482014303265400
NANTES                  461482181
NICE                    470105
NIMES                   470435630
OMAHA BEACH             514038030065033260
ORLEANS                 520405045630
PARIS                   531610630
POITIERS                546322305621
REIMS                   605314630
SEDAN                   635131460
SAINT ETIENNE           631315660182305475160
SAINT LO                631315660416
SAINT NAZAIRE           631315660461861320160
STRASBOURG              652601632523607
TOULON                  676713515
TOULOUSE                676713523635
TOURS                   676720630
VERGEZE                 735607188160
VERSAILLES              735621040413181
SUKHUMI                 653368714300
AACHEN                  031108175
AALEN                   031405460
AUGSBURG                053251083607
BAHRDORF                061280146606
BERCHTESGADEN           065603282181231135460
BERLIN                  065613315
BERNKASTEL              065615361652173
BOCHUM                  076108714
BONN                    076475
BORKUM                  076612714
BRAUNSCHWEIG            080053481108765307
BREMEN                  080174175
BREMERHAVEN             080174180261735460
CHEMNITZ                108174470688
COCHEM                  116108174
COLOGNE                 116416245160
COTTBUS                 116682083630
DARMSTADT               131614652034660
DORTMUND                146622453464
DRESDEN                 150181135460
DUISBURG                153321083607
DUSSELDORF              153651173146606
EISENACH                170635461108
EMDEN                   174135460
ERFURT                  180223622
ESSEN                   181635460
FLENSBURG               213175632720230
FRANKFURT               220045366720660
FRANKFURT ODER          220045366720660504180
FREIBURG                220170083607
FURSTENFELDBRUCK        223621665466173132623112
FUSSEN                  223651175
GARMISCH PARTENK        231614321108017050665472
GAUTING                 231722315230
GILCHING                240403270467
GOTTINGEN               246682315235460
GUNDELSHEIM             253464173638170430
HALBERSTADT             261402180652034660
HALLE                   261413160
HAMBURG                 261432720230
HANFELD                 261466173130
HANNOVER                261475524180
HEIDELBERG              265304173065607
HEIDWINKEL              265304770472173
HEILBRONN               265313080515460
HELMSTEDT               265414652164660
HOF                     276200
JENA                    335461
KAISERSLAUTERN          361321180643053665615
KARLSRUHE               361613650708160
KASSEL                  361651173
KIEL                    370173
KOBLENZ                 376073175860
KREFELD                 380166173130
LEIPZIG                 405317870230
LORELEI                 416605405300
LUBECK                  423065112
MAGDEBURG               431234162720230
MAINZ                   431315860
MANNHEIM                431475265314
MEISSEN                 435321635460
MINDEN                  440464175
MUNICH                  453470108
NEUMUNSTER              465714715652180
NIEDER WOLLSTADT        470164180025513421661152
NUREMBERG               483605432180230
OBERAMMERGAU            502180044435607053
PASSAU                  531651053
POTSDAM                 546681131430
PUTTGARDEN              553682231604175
QUEDLINBURG             583164410462720230
REGENSBURG              605235481083607
ROSTOCK                 616652503360
ROTHENBURG              616668175083607
RUDESHEIM               623135638170430
SAARBRUCKEN             631050080703365460
SASSNITZ                631651470688
SCHLESWIG               633273181770230
SCHWABISCH HALL         633285032321108008043400
SCHWERIN                633285180315
STARNBERG               652050462180230
STENDAL                 652175131400
STUTTGART               652722667050660
TRIER                   680305600
TUBINGEN                683070467175
UBERLINGEN              702180410467175
ULM                     713430
VEGESACK                735235631112
WEDEL                   765135400
WEIMAR                  765314050
WIESBADEN               770181061135460
WITTENBERG              770682175065607
WOLFSBURG               776406632720230
WUPPERTAL               783547180661400
WURZBURG                783628083607
ZITTAU                  870682053
ZWICKAU                 885303361700
GIBRALTAR               240080043661600
ATHENS                  052265481
CANDIA                  101464301
CNOSSUS                 115521653630
IRAKLION                320042410515
LARISSA                 401610651030
MOUNT OLYMPUS           446715660513844553630
PIRAEUS                 540601183630
SPARTA                  647050661
THEBES                  668162181
THESSALONIKI            668181631416470370
SAINT PETER PORT        631315660535665600546622
BUDAPEST                083131535652
DEBRECEN                135080163175
GYOR                    257520
MISKOLC                 440642513100
PECS                    535121
BLARNEY                 073050465830
COBH                    116068
CORK                    116612
DONEGAL                 146465231400
DUBLIN                  153073315
GALWAY                  231425057
KILLARNEY               370413050465830
LIMERICK                410435610112
SHANNON                 638045476460
SLIGO                   643307500
TRALEE                  680043165
WATERFORD               761665606520130
AGRIGENTO               037610235482500
AOSTA                   046652030
ASSISI                  051640640
BARI                    061610
BOLOGNA                 076416245030
BOLZANO                 076428045500
BRINDISI                080315140640
BUSSOLENGO              083651513175246
CAGLIARI                101243301610
CALTAVUTURO             101422054722720500
CAPRI                   101550300
CASSINO                 101651315500
CATANIA                 101661470030
COMO                    116446
CORTINA DAMPEZZO        116622315030131447188876
FLORENCE                213520175105
GENOA                   235476030
MESSINA                 435651315030
MILAN                   440401460
NAPLES                  461543181
PADUA                   531153030
PALERMO                 531405614500
PISA                    540631
POMPEII                 546447170300
PORTOFINO               546622506315500
RAVENNA                 601735475030
ROME                    616435
SALERNO                 631405615500
STRESA                  652605631
SYRACUSE                657601123635
TRIESTE                 680305652160
TURIN                   683610460
VENICE                  735470105
VERONA                  735616461
BEERENBERG              065180175065607
SAINT HELIER            631315660265410180
URALSK                  720043642
DAUGAVPILS              131707054540421
RIGA                    610231
VADUZ                   731153860
KAUNAS                  361715051
KLAIPEDA                373040535131
VILNIUS                 740415323630
ESCH                    181108
LUXEMBOURG              423805432523607
VIANDEN                 740045135460
SLIEMA                  643305431
VALLETTA                731413182661
CHISINAU                108321315053
MONTE CARLO             446482160101613500
ALKMAAR                 043374031600
AMSTERDAM               044652180131430
ARNHEM                  050468174
DELFT                   135406660
DEN HAAG                135460261037
EINDHOVEN               170464276735460
EMMELLOORD              174435413516604
ENSCHEDE                175633265135
GRONINGEN               250515315235460
HAARLEM                 261050405430
NIJMEGEN                470344167175
ROTTERDAM               616682180131430
UTRECHT                 722605108660
BELFAST                 065406051660
LONDONDERRY             416464515135620830
ALESUND                 043181715130
BERGEN                  065607175
BODA                    076131
FLAM                    213044
HAMMERFEST              261444180205652
HELL                    265413
LILLEHAMMER             410413168044435600
NARVIK                  461624312
NORDKINN                476604370475
NORTH CAPE              476622260101535
OSLO                    521416
STAVANGER               652054045235600
TROMSO                  680514646
TRONDHEIM               680515138170430
GDANSK                  234045642
KATOWICE                361676770105
KRAKOW                  380042525
LODZ                    416158
LUBLIN                  423073315
POZNAN                  546875045
SZCZECIN                658128163315
WARSAW                  761621055
WROCLAW                 780503401760
BRAGA                   080037030
CABO DA ROCA            101076004030616101
ESTORIL                 181676610400
FARO                    201616
LISBON                  410632515
NAZARE                  461861605
PORTO                   546622500
SETUBAL                 635683061400
BRASOV                  080051524
BUCHAREST               083108050181660
CLUJ                    113711
CONSTANTA               116481661482030
PLOESTI                 543505652300
TIMISOARA               670440646050030
ARKHANGELSK             050368045235421360
ASTRAKHAN               051680042261460
BORODINO                076616140476
ENGELS                  175235421
KALININGRAD             361410470467601130
KAZAN                   361861460
KRASNODAR               380051476131600
KURSK                   383621360
MOSCOW                  446633525
MURMANSK                453614045642
NIZHNY NOVGOROD         470868487015524246616130
NOVGOROD                476737520504
PERM                    535614
PETROZAVODSK            535680528054504642
PSKOV                   551376730
ROSTOV                  616652524
SAMARA                  631431601
SARATOV                 631601676730
SOVETSK                 646735681360
SAINT PETERSBURG        631315660535665621083607
STAVROPOL               652054616546400
TULA                    683401
UFA                     706030
VOLGOGRAD               746407507601130
VOLOGDA                 746416234030
VORONEZH                746616465868
YAROSLAVL               831616643054400
YASNAYA POLYANA         831645057030546427045030
SAN MARINO              631460431610476
ABERDEEN                032180135175
AYR                     057600
BLAIR ATHOLL            073040600052276413
DUMFRIES                153436610181
DUNDEE                  153464165
EDINBURGH               164315083607260
FORT WILLIAM            216622025313410044
GLASGOW                 243051246760
GRETNA GREEN            250182461007605175
INVERNESS               315735615181630
JOHN OGROATS            346275016250501681
KYLE OF LOCHALSH        387405016200416108043638
PERTH                   535622260
PETERHEAD               535665608161130
SCAPA PIER              633047030540180
SAINT ANDREWS           631315660045150185630
SAINT FERGUS            631315660205607721
STIRLING                652320410467
STONEHAVEN              652515168054175
STORNAWAY               652520461761830
THURSO                  668720646
TROON                   680516460
LERWICK                 405625303360
BRATISLAVA              080052321401731
LJUBLJANA               411702411045030
ALICANTE                043303045665
BARCELONA               061603173515030
BILBAO                  070402046
BURGOS                  083607521
CADIZ                   101140860
CARTAGENA               101622037175030
CORDOBA                 116604502030
GRANADA                 250045034030
IBIZIA                  302328301
LEON                    405515
MADRID                  431150304
MALAGA                  431401231
ORVIEDO                 520740164500
PALMA                   531414030
PALMA DE MALLORCA       531414030135014043416603030
PAMPLONA                531447416461
PUNTA MARROQUI          553482030431620518710
SAN SEBASTIAN           631460635061652301460
SARAGOSSA               631601246651030
SEGOVIA                 635246740030
SEVILLE                 635740413160
TOLEDO                  676405146
VALENCIA                731405463301
VALLADOLID              731413034513304
ZARAGOZA                861601246861
LONGYEARBYEN            416467835050087175
GALLIVARE               231413324050160
GOTEBORG                246665076607
GOTEBORG                246665076607
HASSLEHOLM              261651405276414
HELSINGBORG             265421315232520230
JONKOPING               346472517315230
KALMAR                  361414050
KIRUNA                  370623461
LANDSKRONA              401464642616461
LINKOPING               410472517315230
LJUNGBY                 411715232830
MALMO                   431414500
NORRKOPING              476620376540467
OSTERSUND               521665621715130
STOCKHOLM               652503368513430
UPPSALA                 717551043030
VASTERAS                731652180051
VAXJO                   731811500
VISBY                   740632830
BASEL                   061635400
BERN                    065615
BRUNNEN                 080715465460
CHUR                    108720
GENEVA                  235465731
GSTAAD                  251661034
INTERLAKEN              315665613042175
LAUSANNE                401721045465
LUCERNE                 423105615160
LUGANO                  423231476
SCHWYZ                  633285858
SIMPLON                 640447416460
SAINT GALLEN            631315660231413175
SAINT GOTTHARD          631315660246682261604
SAINT MORITZ            631315660446610688
THUN                    668715
WINTERTHUR              770482180668720
ZERMATT                 865614052660
ZURICH                  883610108
ISTANBUL                321661462713
DNEPROPETROVSK          145177616535680524642
DONETSK                 146465681360
KHARKOV                 368050376730
KIEV                    370184
KIROVOGRAD              370616746250034
KRIVOY ROG              380324527020507
LUGANSK                 423231481360
LVOV                    424524
NOVOGRAD                476746250034
ODESSA                  504181631
POLTAVA                 546422054030
SEVASTAPOL              635731652047513
VLADIMIR VOLYNSKIY      743034314320024513845642327
YALTA                   831422030
ZAPOROZHYE              861546616868835
VATICAN CITY            731670101460110687
CARDIFF                 101604306200
FFESTINIOG              206181670470507
HOLYHEAD                276427265034
SWANSEA                 655045635030
BELGRADE                065407601135
SKOPJE                  642517335

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