Problem 44769. Lights Out 14 - 5x5, four stages, x moves

Created by goc3

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<a href = "https://en.wikipedia.org/wiki/Lights_Out_(game)">Lights Out</a> is a logic game wherein all lights need to be turned off to complete each board. See <a href = "https://www.mathworks.com/matlabcentral/cody/problems/44751-lights-out-1-5x5-3-moves">the first problem in the series</a> for an introduction and <a href = "https://www.mathworks.com/matlabcentral/cody/problems/44766">problem 12</a> for an explanation of three stages.This problem contains boards that each require any number of moves to solve. In addition, lights are now activated through four stages: on1 (1) to on2 (2) to on3 (3) to off (0). For example, if<pre> board = [1 1 0 0 3 
 1 0 0 3 3 
 0 0 0 0 3 
 0 0 2 0 0 
 0 2 2 2 0]</pre>the answer is:<pre> moves = [1 1 1 15 15 22]</pre>Up to three moves are possible for each button (index).Prev.: <a href = "https://www.mathworks.com/matlabcentral/cody/problems/44767">5x5, 3 stages, x moves</a> — 
Next: <a href = "https://www.mathworks.com/matlabcentral/cody/problems/44776">5x5, broken buttons I</a>.

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Problem 44769. Lights Out 14 - 5x5, four stages, x moves

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Problem 44769. Lights Out 14 - 5x5, four stages, x moves

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