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

Created by goc3

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:hyperlink w:docLocation=\"https://en.wikipedia.org/wiki/Lights_Out_(game)\"><w:r><w:t>Lights Out</w:t></w:r></w:hyperlink><w:r><w:t> is a logic game wherein all lights need to be turned off to complete each board. See</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/44751-lights-out-1-5x5-3-moves\"><w:r><w:t>the first problem in the series</w:t></w:r></w:hyperlink><w:r><w:t> for an introduction and</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/44766\"><w:r><w:t>problem 12</w:t></w:r></w:hyperlink><w:r><w:t> for an explanation of three stages.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>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</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ board = [1 1 0 0 3 \n 1 0 0 3 3 \n 0 0 0 0 3 \n 0 0 2 0 0 \n 0 2 2 2 0]]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>the answer is:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ moves = [1 1 1 15 15 22]]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Up to three moves are possible for each button (index).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Prev.:</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/44767\"><w:r><w:t>5x5, 3 stages, x moves</w:t></w:r></w:hyperlink><w:r><w:t> — Next:</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/44776\"><w:r><w:t>5x5, broken buttons I</w:t></w:r></w:hyperlink><w:r><w:t>.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

<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>.

Solve

Solution Stats

23 Solutions
7 Solvers

Last Solution submitted on Jan 13, 2021

Last 200 Solutions

Problem Comments

Problem Recent Solvers7

Problem Tags

flip game lamp light lights logic out puzzle toggle

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

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

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers7

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

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

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers7

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

Players