Problem 3033. Tic-Tac-Logic - Solution Checker

Created by goc3

Solve Later

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Also, the number of X's and O's must be the same in every row and column (equal to half the size of the row or column). Finally, all rows must be unique (compared to other rows) and all columns must be unique (compared to other columns).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>An example puzzle from Conceptis is included here, wherein the first board represents the starting condition and the second board represents a properly solved board:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId2\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>You will be provided with a variety of completed boards. X's are represented by ones and O's by zeros. Write a function to test whether the board has been properly solved. Remember to check against all three criteria.</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 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"},{"partUri":"/media/image2.gif","contentType":"image/gif","content":"data:image/gif;base64,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"}]}

<a href = "http://www.conceptispuzzles.com/index.aspx?uri=puzzle/tic-tac-logic/rules">Tic-Tac-Logic</a> is a logic puzzle wherein a rectangular grid containing a certain set of pre-filled squares must be filled in completely to have no more than two consecutive X's or O's in any row or column. Also, the number of X's and O's must be the same in every row and column (equal to half the size of the row or column). Finally, all rows must be unique (compared to other rows) and all columns must be unique (compared to other columns).An example puzzle from Conceptis is included here, wherein the first board represents the starting condition and the second board represents a properly solved board:<img src = "http://www.conceptispuzzles.com/picture/11/3993.gif"><img src = "http://www.conceptispuzzles.com/picture/11/3994.gif">You will be provided with a variety of completed boards. X's are represented by ones and O's by zeros. Write a function to test whether the board has been properly solved. Remember to check against all three criteria.

<http://www.conceptispuzzles.com/index.aspx?uri=puzzle/tic-tac-logic/rules Tic-Tac-Logic> is a logic puzzle wherein a rectangular grid containing a certain set of pre-filled squares must be filled in completely to have no more than two consecutive X's or O's in any row or column. Also, the number of X's and O's must be the same in every row and column (equal to half the size of the row or column). Finally, all rows must be unique (compared to other rows) and all columns must be unique (compared to other columns).

An example puzzle from Conceptis is included here, wherein the first board represents the starting condition and the second board represents a properly solved board:

<<http://www.conceptispuzzles.com/picture/11/3993.gif>>

<<http://www.conceptispuzzles.com/picture/11/3994.gif>>

You will be provided with a variety of completed boards. X's are represented by ones and O's by zeros. Write a function to test whether the board has been properly solved. Remember to check against all three criteria.

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Last Solution submitted on Sep 13, 2022

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Guillaume on 22 Feb 2015

I like the conceptis puzzles. I even implemented a solver in matlab for the Pic-A-Pix a long time ago. Not sure what happened to the code. At the moment, my favorite are the Slitherlink puzzles.

goc3 on 23 Feb 2015

Conceptis does a good job with their site; I especially like the free weekly puzzles. They added a skyscrapers puzzle in the recent past, and someone has posted that problem to Cody, in case you weren't aware: http://www.mathworks.com/matlabcentral/cody/problems/2026-skyscrapers-puzzle. Also, you might want to find that code again, if you haven't already solved the two logic-art problems that have been posted: http://www.mathworks.com/matlabcentral/cody/problems/1700-solve-the-picross-easy and http://www.mathworks.com/matlabcentral/cody/problems/1701-solve-the-picross-hard.

goc3 on 23 Feb 2015

Also, I'd like to see you post a slitherlink puzzle for solving or checking solutions. I'm not quite sure how to implement it, given the interposing matrices that the clues and slithering line would require.

Jean-Marie Sainthillier on 23 Feb 2015

Good explanations + Good tests = Good Problem.

James on 23 Feb 2015

The only thing I'd add to the problem description is that while all rows must be unique, and all columns must be unique, a row can equal a column and the matrix can still be "solved." Other than that, good problem.

goc3 on 24 Feb 2015

Thanks, James and Jean-Marie. Your likes mean a lot. Also, I updated the description to specify rows are unique amongst rows and columns are unique among columns.

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Problem 3033. Tic-Tac-Logic - Solution Checker

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