Beer mat brain teaser #2

[TimberWolf]

2
586
314
7

7
352
184
6

2
586
314
7

2
685
413
7


7
314
586
2


etc

[TimberWolf]

I just permed the string (40,321 permutations) and these are the only solutions:

7879) 2 5 8 6 3 1 4 7
8605) 2 6 8 5 4 1 3 7
31716) 7 3 1 4 5 8 6 2
32442) 7 4 1 3 6 8 5 2

There's only one solution really, since the others are reflections either vertically or horizontally of the one true one.

[EternalOptimist]

I just permed the string (40,321 permutations) and these are the only solutions:

7879) 2 5 8 6 3 1 4 7
8605) 2 6 8 5 4 1 3 7
31716) 7 3 1 4 5 8 6 2
32442) 7 4 1 3 6 8 5 2

There's only one solution really, since the others are reflections either vertically or horizontally of the one true one.

*cough*