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Colourful Knight's Tour (Posted on 2008-01-24) Difficulty: 3 of 5
A knight enters the grid at number 1 and then moves, as if he were on a chessboard, to number 2. He visits every square in numerical order, before exiting at number 64.

KEY:
Blue = cube numbers (1, 8, 27 and 64)
Green = squares which are not cubes (4, 9, 16, 25, 36 and 49)
Red = prime numbers (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59 and 61)
Yellow = multiples of ten (10, 20, 30, 40, 50 and 60)
Purple = multiples of 11 which are not prime (22, 33, 44 and 55)

One number has been added to get you started.

35

No Solution Yet Submitted by Josie Faulkner    
Rating: 4.9091 (11 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: So far, so good | Comment 4 of 19 |
(In reply to So far, so good by FrankM)

Hello Frank.

Here are the numbers which you have placed incorrectly.
Row 2 - 59, 39
Row 3 - 38
Row 4 - 58, 56
Row 5 - 42, 6
Row 7 - 47, 7
Row 8 - 48

Jyqm offers good advice, namely try to place the squares and the cubes.

Remember that a knight in a corner position has only two moves available; a knight next to the corner e.g. r1c2, r1c7 etc has only three moves available to him.

Please believe me when I tell you that this can be solved using logic (and lots of patience)!

  Posted by Josie Faulkner on 2008-01-24 15:34:05

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