Problem 1457. USC Spring 2013 ACM: Walking on Thin Ice

Created by Richard Zapor

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>This Challenge is to solve the</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://contest.usc.edu/index.php/Spring13/Home\"><w:r><w:t>USC Spring 2013 ACM Contest</w:t></w:r></w:hyperlink><w:r><w:t> Problem E, Walking on Thin Ice.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>The Rooster is crossing to the other side of the frozen river. Minimize his distance traveled on thin ice given a river width (w) and polygons(polycell) that denote non-thin ice regions. Start anywhere on the x-axis(y=0) and finish by reaching y=w.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Input:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>w=120</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>polycell={[0 10 0 90 50 50 100 90 100 10] [0 110 100 110 50 70]};</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Output:</w:t></w:r><w:r><w:t> 35.6174</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>The only USC competition solver(45 minutes):</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://contest.usc.edu/index.php/Spring13/Home?action=download&amp;upname=thinice.zhengcao.cpp.txt\"><w:r><w:t>Cao's C solution</w:t></w:r></w:hyperlink></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Theory:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Traveling Salesman Optimum Route. (Matlab one line while)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Create Interconnect Matrix</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Calculate Route/Distances between Good-Ice using Polygon to Polygon distance function.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Polygon to Polygon minimum distance uses minimum Point to Line Segment function.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Related Challenges:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>1)</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/problems/1446-minimum-distance-point-to-segment\"><w:r><w:t>Minimum Distance Point to Segment</w:t></w:r></w:hyperlink></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>2)</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/problems/1452-minimum-distance-between-two-n-sided-polygons\"><w:r><w:t>Minimum Distance between Polygons</w:t></w:r></w:hyperlink></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>"}]}

This Challenge is to solve the <a href = "http://contest.usc.edu/index.php/Spring13/Home">USC Spring 2013 ACM Contest</a> Problem E, Walking on Thin Ice.The Rooster is crossing to the other side of the frozen river. Minimize his distance traveled on thin ice given a river width (w) and polygons(polycell) that denote non-thin ice regions. Start anywhere on the x-axis(y=0) and finish by reaching y=w.Input:w=120polycell={[0 10 0 90 50 50 100 90 100 10] [0 110 100 110 50 70]};Output: 35.6174The only USC competition solver(45 minutes): <a href = "http://contest.usc.edu/index.php/Spring13/Home?action=download&upname=thinice.zhengcao.cpp.txt">Cao's C solution</a>Theory:Traveling Salesman Optimum Route. (Matlab one line while)Create Interconnect MatrixCalculate Route/Distances between Good-Ice using Polygon to Polygon distance function.Polygon to Polygon minimum distance uses minimum Point to Line Segment function.Related Challenges:1) <a href = "http://www.mathworks.com/matlabcentral/cody/problems/1446-minimum-distance-point-to-segment">Minimum Distance Point to Segment</a>2) <a href = "http://www.mathworks.com/matlabcentral/cody/problems/1452-minimum-distance-between-two-n-sided-polygons">Minimum Distance between Polygons</a>

Solve

Solution Stats

8 Solutions
3 Solvers

Last Solution submitted on Jan 10, 2020

Last 200 Solutions

Problem Recent Solvers3

Problem Tags

2013 acm complex optimization traveling salesman usc

Problem 1457. USC Spring 2013 ACM: Walking on Thin Ice

Solution Stats

Last 200 Solutions

Problem Recent Solvers3

Suggested Problems

More from this Author237

Problem Tags

Problem 1457. USC Spring 2013 ACM: Walking on Thin Ice

Solution Stats

Last 200 Solutions

Problem Recent Solvers3

Suggested Problems

More from this Author237

Problem Tags

Players