Problem 1913. GJam 2013 Veterans: Ocean View (Small)

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 derived from</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://code.google.com/codejam/contest/2334486/dashboard#s=p2\"><w:r><w:t>GJam 2013 Veterans Ocean View</w:t></w:r></w:hyperlink><w:r><w:t>. This is the Small data set witn N&lt;=50 and Q&lt;=4, guaranteed.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>The GJam story goes that as Supreme Ruler you are annoyed by complaints of non-ocean views on a hillside. To resolve the issue a minimum number of homes will be removed to provide a maximum number of ocean view homes. The Elevation of the homes should monotonically increase, no equal values, from element 1 thru the end.</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>Succinct Challenge statement:</w:t></w:r><w:r><w:t> Given a vector create the maximum length monotonically increasing vector by removing values. Report the number of values removed.</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:r><w:t> V , Vector length N&lt;=50 with values 1 thru 1000.</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> Q , minimum quantity of removed values to produce a valid vector [0:4]</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>Examples:</w:t></w:r><w:r><w:t> [V] [Q]</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[[1 4 3 3] [2] for [1 4] or [1 3]\n[1 2 3 4 5] [0]\n[4 3 2 1] [3]]]></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>Commentary:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[1) The GJam Small test suite is not robust\n2) nchoosek(50,4) is too slow for Cody and the 100 cases\n3) The Large test suite is N<=1000 with some delete cases >4\n4) A Good Algorithm that solves the Large case is usually best to pursue\n5) GJam Competition allows one Large submission within 10 minutes of download \n6) <Large Suite Challenge>]]></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>"}]}

This Challenge is derived from <a href = "http://code.google.com/codejam/contest/2334486/dashboard#s=p2">GJam 2013 Veterans Ocean View</a>. This is the Small data set witn N&lt;=50 and Q&lt;=4, guaranteed.The GJam story goes that as Supreme Ruler you are annoyed by complaints of non-ocean views on a hillside. To resolve the issue a minimum number of homes will be removed to provide a maximum number of ocean view homes. The Elevation of the homes should monotonically increase, no equal values, from element 1 thru the end.Succinct Challenge statement: Given a vector create the maximum length monotonically increasing vector by removing values. Report the number of values removed.Input: V , Vector length N&lt;=50 with values 1 thru 1000.Output: Q , minimum quantity of removed values to produce a valid vector [0:4]Examples: [V] [Q]<pre class="language-matlab">[1 4 3 3] [2] for [1 4] or [1 3]
[1 2 3 4 5] [0]
[4 3 2 1] [3]
</pre>Commentary:<pre class="language-matlab">1) The GJam Small test suite is not robust
2) nchoosek(50,4) is too slow for Cody and the 100 cases
3) The Large test suite is N&lt;=1000 with some delete cases >4
4) A Good Algorithm that solves the Large case is usually best to pursue
5) GJam Competition allows one Large submission within 10 minutes of download 
6) &lt;Large Suite Challenge>
</pre>

This Challenge is derived from <http://code.google.com/codejam/contest/2334486/dashboard#s=p2 GJam 2013 Veterans Ocean View>. This is the Small data set witn N<=50 and Q<=4, guaranteed.

The GJam story goes that as Supreme Ruler you are annoyed by complaints of non-ocean views on a hillside. To resolve the issue a minimum number of homes will be removed to provide a maximum number of ocean view homes. The Elevation of the homes should monotonically increase, no equal values, from element 1 thru the end.

*Succinct Challenge statement:* Given a vector create the maximum length monotonically increasing vector by removing values. Report the number of values removed.

*Input:* V , Vector length N<=50 with values 1 thru 1000.

*Output:* Q , minimum quantity of removed values to produce a valid vector [0:4]

*Examples:* [V] [Q]

[1 4 3 3] [2]  for [1 4] or [1 3]
  [1 2 3 4 5] [0]
  [4 3 2 1] [3]

*Commentary:*

1) The GJam Small test suite is not robust
 2) nchoosek(50,4) is too slow for Cody and the 100 cases
 3) The Large test suite is N<=1000 with some delete cases >4
 4) A Good Algorithm that solves the Large case is usually best to pursue
 5) GJam Competition allows one Large submission within 10 minutes of download 
 6) <Large Suite Challenge>

Solve

Solution Stats

23 Solutions
15 Solvers

Last Solution submitted on Oct 12, 2022

Last 200 Solutions

Problem Comments

Problem Recent Solvers15

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 1913. GJam 2013 Veterans: Ocean View (Small)

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers15

Suggested Problems

More from this Author260

Problem Tags

Community Treasure Hunt

Problem 1913. GJam 2013 Veterans: Ocean View (Small)

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers15

Suggested Problems

More from this Author260

Problem Tags

Community Treasure Hunt

Players