Problem 42777. GJam March 2016 IOW: Polynesiaglot 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/8274486/dashboard#s=p2\"><w:r><w:t>GJam March 2016 Annual I/O for Polynesiaglot</w:t></w:r></w:hyperlink><w:r><w:t>. This is the first very small set.</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 words are such that consonants are always followed by a vowel. Determine the number of possible words of length L using C consonants and V vowels.</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> [C V L] , C=1, V=1, 1&lt;=L&lt;=15</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]</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> [C V L] [Q]</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[[1 1 4] [5] {aaaa,aaba,abaa,baaa,baba} invalid are {bbaa, aaab} \n[1 2 2] [6] {aa,ae,ba,be,ee,ea} invalid are {ab,eb,bb}]]></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></w:t></w:r><w:hyperlink w:docLocation=\"http://code.google.com/codejam\"><w:r><w:rPr><w:b/></w:rPr><w:t>Google Code Jam 2016 Open Qualifier: April 8, 2016</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>Contest Theory:</w:t></w:r><w:r><w:t> The small case is a warm up of only a single vowel and consonant. For L&lt;16 this can readily be solved by brute force generation of valid sequences followed by size of array. Subsequent challenges will be a subset of small-2 with eps(Q) &lt;0.25 and then the unbounded size case of small-2/large. For the unbounded case a solution method uses Matlab java calls. Solution sizes are on the order of (C+V)^L with the large case C=50,V=50,L=500.</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/8274486/dashboard#s=p2">GJam March 2016 Annual I/O for Polynesiaglot</a>. This is the first very small set.The GJam story goes that words are such that consonants are always followed by a vowel. Determine the number of possible words of length L using C consonants and V vowels.Input: [C V L] , C=1, V=1, 1&lt;=L&lt;=15Output: [Q]Examples: [C V L] [Q]<pre class="language-matlab">[1 1 4] [5] {aaaa,aaba,abaa,baaa,baba} invalid are {bbaa, aaab} 
[1 2 2] [6] {aa,ae,ba,be,ee,ea} invalid are {ab,eb,bb}
</pre><a href = "http://code.google.com/codejam">Google Code Jam 2016 Open Qualifier: April 8, 2016</a>Contest Theory: The small case is a warm up of only a single vowel and consonant. For L&lt;16 this can readily be solved by brute force generation of valid sequences followed by size of array. Subsequent challenges will be a subset of small-2 with eps(Q) &lt;0.25 and then the unbounded size case of small-2/large. For the unbounded case a solution method uses Matlab java calls. Solution sizes are on the order of (C+V)^L with the large case C=50,V=50,L=500.

This Challenge is derived from <http://code.google.com/codejam/contest/8274486/dashboard#s=p2 GJam March 2016 Annual I/O for Polynesiaglot>. This is the first very small set.

The GJam story goes that words are such that consonants are always followed by a vowel. Determine the number of possible words of length L using C consonants and V vowels.

*Input:* [C V L] , C=1, V=1, 1<=L<=15

*Output:* [Q]

*Examples:* [C V L] [Q]

[1 1 4] [5] {aaaa,aaba,abaa,baaa,baba}  invalid are {bbaa, aaab} 
  [1 2 2] [6] {aa,ae,ba,be,ee,ea} invalid are {ab,eb,bb}

*<http://code.google.com/codejam Google Code Jam 2016 Open Qualifier: April 8, 2016>*

*Contest Theory:* The small case is a warm up of only a single vowel and consonant. For L<16 this can readily be solved by brute force generation of valid sequences followed by size of array. Subsequent challenges will be a subset of small-2 with eps(Q) <0.25 and then the unbounded size case of small-2/large. For the unbounded case a solution method uses Matlab java calls. Solution sizes are on the order of (C+V)^L with the large case C=50,V=50,L=500.

Solve

Solution Stats

22 Solutions
12 Solvers

Last Solution submitted on Oct 18, 2020

Last 200 Solutions

Problem Comments

Problem Recent Solvers12

Problem Tags

gjam iow

Community Treasure Hunt

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

Start Hunting!

Problem 42777. GJam March 2016 IOW: Polynesiaglot Small

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers12

Suggested Problems

More from this Author247

Problem Tags

Community Treasure Hunt

Problem 42777. GJam March 2016 IOW: Polynesiaglot Small

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers12

Suggested Problems

More from this Author247

Problem Tags

Community Treasure Hunt

Players