[Magictour] Graeco-latin magic closed tour

I ran my new program on the 8*8 torus tours and found an unique solution :

01 34 53 46 27 60 15 24
10 25 48 39 52 03 22 61
23 64 09 26 45 38 51 04
62 05 18 49 40 31 44 11
43 12 63 08 17 50 37 30
36 19 06 13 58 41 32 55
29 54 35 20 07 16 57 42
56 47 28 59 14 21 02 33

or in octal:

00 41 64 55 32 73 16 27
11 30 57 46 63 02 25 74
26 77 10 31 54 45 62 03
75 04 21 60 47 36 53 12
52 13 76 07 20 61 44 35
43 22 05 14 71 50 37 66
34 65 42 23 06 17 70 51
67 56 33 72 15 24 01 40

It's a closed tour !

Total running time is less than 20 seconds on the 6 tours: a1-a2, a1-b3,
a1-a4, a1-b5, a1-c4, a1-d5.
I don't understand why my program doesn't find any of the 4096 solutions
found by Gunter ???
It's most possibly a bug.

I let you check the diagonal sums.

JC


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Received on Thu Dec 04 14:24:18 2001