Problem 458. Parcel Routing

Created by @bmtran (Bryant Tran)

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{"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 matrix that represent the distance along highways between major cities numbered 1 to</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>N</w:t></w:r><w:r><w:t>, provide the path and shortest distance from a given city,</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>from</w:t></w:r><w:r><w:t>, to a given city,</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>to</w:t></w:r><w:r><w:t>. Assume that 0 represents no direct path between two cities. If there is no solution to the problem, return -1 for both the path and the distance.</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>"}]}

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33 Solutions
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Last Solution submitted on Feb 21, 2019

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Solution 57507

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3 Comments

Alfonso Nieto-Castanon on 6 Mar 2012

something strange with test cases 22, 23, and 25, the solution provided does not look like the shortest path (e.g. test case 22; the path 23-7-24-4-14 is shorter than the solution path 23-7-14), perhaps your solver is assuming triangular property of distances while the data provided does not have this property?

@bmtran (Bryant Tran) on 7 Mar 2012

i'll look into it

@bmtran (Bryant Tran) on 7 Mar 2012

I agree with you. i'm ammending my test cases now.

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Problem 458. Parcel Routing

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Problem 458. Parcel Routing

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