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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?

  Submitted by Jenny Turner    
Rating: 4.0000 (9 votes)
Solution: (Hide)
There are two killer clues here. First, the digit 9 is never used; you should surmise from this that the digits have been converted from a different base, to wit, base 3 (the highest decimal digit represented by a two-digit number in base 3 being 22 = 8, of course). Second, all the placenames are represented by 6, 9 or 12 digits; the reason for this is that each group of three digits represents two letters. A six-digit code number decodes to a four-letter word, nine digits to six letters, etc. To decode, first convert the digits to base 3.

0 8 0 4 7 6
002200112120


Now take the resulting digits and divide them into groups of three:
002 200 112 120

And convert to letters, where 001=A, 002=B, 010=C ... 222=Z.

002=B
200=R
112=N
120=O

The tour starts in the Czech Republic and moves South through Austria and Italy: BRNO LINZ SALZBURG VERONA MILANO GENOVA PISA ROMA NAPOLI.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Puzzle Thoughts K Sengupta2023-05-14 10:33:06
re: solutionJames2005-08-23 21:11:06
just a novice remarktraian2005-07-07 13:50:38
re(2): Number hintsbrianjn2004-11-12 00:22:29
Some Thoughtsre: solutione.g.2004-11-11 13:18:12
re(2): Number hintsRichard2004-11-11 13:12:59
re: Number hintsCharlie2004-11-11 12:38:00
re: solutionJils2004-11-11 08:37:33
re(2): solutionJenny Turner2004-11-11 03:48:56
re: solutionRichard2004-11-10 22:04:53
SolutionsolutionTristan2004-11-10 19:40:16
re(2): Number hintsRandyOrton2004-11-10 10:49:16
re: Number hintsCharlie2004-11-10 10:00:51
Hints/TipsNumber hintsJenny Turner2004-11-10 04:17:13
Telephone code?Erik O.2004-11-09 21:52:52
re: Hints and stuffRichard2004-11-09 14:01:16
DreamingJils2004-11-09 13:25:58
Hints/TipsHints and stuffJenny Turner2004-11-08 04:23:29
Thoughts, just thoughts.brianjn2004-11-08 02:13:43
A musical dead endSteveH2004-11-06 14:21:26
More random thoughts...Erik O.2004-11-05 16:06:18
Some ThoughtsCaeser's HeadacheJils2004-11-05 14:08:32
re: Random thoughtsRichard2004-11-05 12:49:15
Random thoughtsErik O.2004-11-05 10:50:11
More little thingsRandyOrton2004-11-04 19:20:00
a ideasami2004-11-04 19:13:52
re: a ideaSam2004-11-04 17:09:47
Some Thoughtssmall ideanikki2004-11-03 21:38:19
Some thoughtsBryan2004-11-03 21:37:40
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