There seems to be a problem with Lights Out 5. Test cases 4 and 11 can be solved in fewer than 10 moves. Case 4 is solved by [1 3 5 21 23 25], which is easily verified by hand. Case 11 takes 9 moves -- [1 3 7 12 15 16 22 24 25].
1 William is right.
2 Next problem of this series could be "Lights Out - 5x5, from 3 to 10 moves", I think it is more difficult than this one.
@goc3 Sorry for misspell your name, but I can not delete the comment because of bug of cody.
@William: thanks for catching that. Actually, test case 4 was intentional, as it can also be solved in 10 moves. But, to prevent future confusion, I have replaced it. And, test case 11 was indeed an error—it has been fixed.
@li haitao: the test suite has been updated. Also, problem #7 in the series (not out yet, but will be soon) is similar to what you suggest. Thanks for the comments.
A piece of advice, measure the running time(using tic, toc, for example) in the test suit to see which solution is fast.
@li haitao: I got 3.838179s (total time for test suite) for William's solution and 0.986936s (1/4 the time) for your sped-up version. Impressive.
i am surprised about the fact that some test admit a shorter solution than 10 moves :S
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