Problem 113. N-Queens Checker

Created by Ned Gulley

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:r><w:t>Picture a chessboard populated with a number of queens (i.e. pieces that can move like a queen in chess). The board is a matrix, a, filled mostly with zeros, while the queens are given as ones. Your job is to verify that the board is a legitimate answer to the</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://en.wikipedia.org/wiki/Eight_queens_puzzle\"><w:r><w:t>N-Queens problem</w:t></w:r></w:hyperlink><w:r><w:t>. The board is good only when no queen can \"see\" (and thus capture) another queen.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Example</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>The matrix below shows two queens on a 3-by-3 chessboard. The queens can't see each other, so the function should return TRUE.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ 1 0 0\n 0 0 1\n 0 0 0]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Here is a bigger board with more queens. Since the queens on rows 3 and 4 are adjacent along a diagonal, they can see each other and the function should return FALSE.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ 0 0 0 1\n 1 0 0 0\n 0 0 1 0 \n 0 1 0 0]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>The board doesn't have to be square, but it always has 2 or more rows and 2 or more columns. This matrix returns FALSE.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ 1 0 0 0 0 \n 0 0 0 1 1]]></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>"}]}

Solve

Solution Stats

1140 Solutions
277 Solvers

Last Solution submitted on Sep 01, 2023

Last 200 Solutions

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers277

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 113. N-Queens Checker

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers277

Suggested Problems

More from this Author50

Problem Tags

Community Treasure Hunt

Problem 113. N-Queens Checker

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers277

Suggested Problems

More from this Author50

Problem Tags

Community Treasure Hunt

Players