Problem 44764. Lights Out 10 - 5x5, with wrapping, 6 moves

Lights Out is a logic game wherein all lights need to be turned off to complete each board. See the first problem in the series for an introduction.

This problem contains boards that each require six moves to solve. However, now wrapping of the lights occurs. For example, if

 board = [1 0 0 0 1
          1 0 1 0 1
          0 0 0 0 0
          1 0 1 0 1
          1 0 0 0 1]

the answer is:

 moves = [1 5 11 15 21 25]

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