Problem 487. Find perfect placement of non-rotating dominoes (easier)

Created by Doug Hull

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 list of ordered pairs, find the order they should be placed in a line, such that the sum of the absolute values of the differences is zero.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[list = [1 2\n        4 3\n        2 4\n\norder = [1 3 2]\n\nyields: [1 2][2 4][4 3]\n    or: abs(2-2) + abs(4-4)\n    or:        0 + 0\n    or: 0]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>There is a unique solution to this problem where the final score is zero.</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

1057 Solutions
297 Solvers

Last Solution submitted on Apr 28, 2022

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

Manish Joshi on 18 May 2015

Interesting...

Roche de Guzman on 18 Oct 2016

awesome problem!

Solution Comments

Solution 181121

1 Comment

1 Comment

Ramoflaple on 7 Jul 2015

I finally figure out that you use '+length(list)' to index the second column of the list.

Problem Recent Solvers297

Problem Tags

contest

Community Treasure Hunt

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

Start Hunting!

Problem 487. Find perfect placement of non-rotating dominoes (easier)

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers297

Suggested Problems

More from this Author51

Problem Tags

Community Treasure Hunt

Problem 487. Find perfect placement of non-rotating dominoes (easier)

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers297

Suggested Problems

More from this Author51

Problem Tags

Community Treasure Hunt

Players