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?
(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
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Posted by Charlie
on 2004-11-11 12:38:00 |
re: Number hints
