Problem 44063. Make a rainbow matrix (follow-up to checkerboard matrix)

Created by Jihye Sofia Seo

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 an integer n, make an n-by-n matrix as shown below. The a(1,1) should be 0. As we move away from the top-left, the number increase by 1, until we hit a diagonal, where all the elements are (n-1) along the diagonal. After passing diagonal, the number increases by 1 each time.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>This is a follow-up question to Cody Challenge CheckerBoard Problem at</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/4-make-a-checkerboard-matrix\"><w:r><w:t>&lt;https://www.mathworks.com/matlabcentral/cody/problems/4-make-a-checkerboard-matrix</w:t></w:r></w:hyperlink><w:r><w:t>&gt;</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>For n=10</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ Input n = 10\n Output a is\n [0 1 2 3 4 5 6 7 8 9\n 1 2 3 4 5 6 7 8 9 8\n 2 3 4 5 6 7 8 9 8 7\n 3 4 5 6 7 8 9 8 7 6\n 4 5 6 7 8 9 8 7 6 5\n 5 6 7 8 9 8 7 6 5 4\n 6 7 8 9 8 7 6 5 4 3\n 7 8 9 8 7 6 5 4 3 2\n 8 9 8 7 6 5 4 3 2 1\n 9 8 7 6 5 4 3 2 1 0]]]></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>"}]}

Given an integer n, make an n-by-n matrix as shown below. The a(1,1) should be 0. As we move away from the top-left, the number increase by 1, until we hit a diagonal, where all the elements are (n-1) along the diagonal. After passing diagonal, the number increases by 1 each time.This is a follow-up question to Cody Challenge CheckerBoard Problem at <a href = "https://www.mathworks.com/matlabcentral/cody/problems/4-make-a-checkerboard-matrix">https://www.mathworks.com/matlabcentral/cody/problems/4-make-a-checkerboard-matrix</a>For n=10<pre> Input n = 10
 Output a is
 [0 1 2 3 4 5 6 7 8 9
 1 2 3 4 5 6 7 8 9 8
 2 3 4 5 6 7 8 9 8 7
 3 4 5 6 7 8 9 8 7 6
 4 5 6 7 8 9 8 7 6 5
 5 6 7 8 9 8 7 6 5 4
 6 7 8 9 8 7 6 5 4 3
 7 8 9 8 7 6 5 4 3 2
 8 9 8 7 6 5 4 3 2 1
 9 8 7 6 5 4 3 2 1 0]</pre>

Solve

Solution Stats

93 Solutions
42 Solvers

Last Solution submitted on Jan 19, 2021

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

goc3 on 31 Jul 2018

Additional test cases have been added.

Solution Comments

Solution 1119624

1 Comment

1 Comment

Jihye Sofia Seo on 10 Feb 2017

I am new to MATLAB and this was first problem I created. So happy to see variety of solutions I could not think of! Thanks and enjoy coding!

Solution 1119294

1 Comment

1 Comment

Jihye Sofia Seo on 10 Feb 2017

Bravo! You are the leading solver!
I didn't know "rot90" before. I was looking for it. Thanks!
(I solved this problem with different function.)

Problem Recent Solvers42

Problem Tags

matrices square

Community Treasure Hunt

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

Start Hunting!