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 5 x 5 Maze by 2s and 3s (Posted on 2009-03-22)
In the grid below, start at the A and end at the W, by first moving two positions (horizontally, vertically or diagonally), then by three positions, etc., alternating between 2- and 3-position moves. Never go to the same letter twice (though you may cross over a previous letter) and never reverse directions 180 degrees from one move to the next. Also never land on or even jump over the two hyphens.

For example, a valid start is A-C-P-R, and then the only valid move is the diagonal to B, as you can't backtrack to O, nor go up past the hyphen, nor is there enough room to go down three positions, nor any space to the right. Diagonals are always allowed, not just when you're stuck like this.

```A B C D E
F G H I J
K L M N -
- O P Q R
S T U V W
```
What is the shortest such path? ... and the longest?

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

Comments: ( Back to comment list | You must be logged in to post comments.)
 re(3): Solution | Comment 5 of 6 |
(In reply to re(2): Solution by Harry)

The solution has been posted, with 9 paths, though the added path (vs the 8) is neither the shortest nor the longest.
 Posted by Charlie on 2009-03-27 11:17:20

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