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Knights' Tours - Long & Short (Posted on 2009-05-05) Difficulty: 3 of 5
On a 4 x 4 board what is the longest and the shortest 'tour' that a knight may make subject to no valid next destination being available, and not being able to revisit a prior square. The knight starts in the top left cell (A).

A B C D
E F G H
I J K L
M N O P

Dismissing mirrored tours (A-P being the mirror) how many such routes are there?

See The Solution Submitted by brianjn    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): solution (and variance) | Comment 5 of 7 |
(In reply to re: solution (and variance) by brianjn)

I think both DejMar and I listed 4 short paths and 24 long paths, which when reflected then brought the total to 8 and 48.
  Posted by Charlie on 2009-05-06 11:06:54

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