Problem 45171. Squares in Squares - Concentric Squares

Created by Reece Blunt

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>Given a number, n, create an n x n sized matrix with concentric squares of 1s from the outside in. There should be a gap between each square (represented by 0s).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>If n is even, the centre of the matrix should be a 2 x 2 square of 0s or 1s, if it is odd it should be a 1 x 1 square.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>The function should return the square matrix, S, and the number of squares, Sn, (in some cases this may only be one).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[e.g. n = 7\n  1 1 1 1 1 1 1\n  1 0 0 0 0 0 1\n  1 0 1 1 1 0 1\n  1 0 1 0 1 0 1\n  1 0 1 1 1 0 1\n  1 0 0 0 0 0 1\n  1 1 1 1 1 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

55 Solutions
13 Solvers

Last Solution submitted on Jul 13, 2021

Last 200 Solutions

Problem Comments

Solution Comments

Solution 1974420

1 Comment

1 Comment

bainhome on 22 Apr 2020

one of the best solution.

Problem Recent Solvers13

Problem Tags

matrices matrix ones patterns shapes squares zeros

Community Treasure Hunt

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

Start Hunting!

Problem 45171. Squares in Squares - Concentric Squares

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers13

Suggested Problems

More from this Author1

Problem Tags

Community Treasure Hunt

Problem 45171. Squares in Squares - Concentric Squares

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers13

Suggested Problems

More from this Author1

Problem Tags

Community Treasure Hunt

Players