Problem 470. Scoring for oriented dominoes

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, and the order they should be placed in a line, find the sum of the absolute values of the differences.</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        5 3\n        2 4\n\norder = [1 3 2]\n\nyields: [1 2][2 4][5 3]\n    or: abs(2-2) + abs(4-5)\n    or:        0 + 1\n    or: 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

2182 Solutions
822 Solvers

Last Solution submitted on Sep 20, 2023

Last 200 Solutions

Problem Comments

3 Comments

3 Comments

CAM on 7 Feb 2014

Is Test #3 correct? When I solve it with pencil and paper, I get 15 instead of 14.
[5 4][1 2][2 4][7 5][4 8][4 5][1 6]
= -3 + 0 + 3 + -1 + -4 + -4
= 3+0+3+1+4+4
=15
Have I missed something?

Raymond Phan on 26 Jul 2014

No it's 14. With the ordering, you should get:
[5 4][1 2][2 4][4 8][1 6][4 5][7 5], and the sum is abs(4-1) + abs(2-2) + abs(4-4) + abs(8-1) + abs(6-4) + abs(5-7) = 3 + 0 + 0 + 7 + 2 + 2 = 14

Zhiyuan Lang on 3 May 2022

good

Solution Comments

Show comments

Problem Recent Solvers822

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 470. Scoring for oriented dominoes

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers822

Suggested Problems

More from this Author51

Problem Tags

Community Treasure Hunt

Problem 470. Scoring for oriented dominoes

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers822

Suggested Problems

More from this Author51

Problem Tags

Community Treasure Hunt

Players