Problem 44074. GJam 2017 Kickstart: Parentheses (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/6304486/dashboard#s=p2\"><w:r><w:t>GJam 2017 Kickstart Parentheses</w:t></w:r></w:hyperlink><w:r><w:t>. This is the first 100 small cases with max L+R&lt;=20.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:hyperlink w:docLocation=\"http://code.google.com/codejam\"><w:r><w:t>Google Code Jam 2017 Qualifier</w:t></w:r></w:hyperlink><w:r><w:t> is March 7, 2017. Typically four challenges with small and large aspects with 27 hours to complete.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>The GJam story is given L left and R right parentheses determine the maximum number of parentheses pairings.</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> [L,R], the quantity of parentheses types</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> [V], the maximum number of parentheses pairings</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> [L,R] [V]; [3,2] [3]</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>For the case ()()(, for example, the three balanced groups are () from indexes 1 to 2, () from indexes 3 to 4, and ()() from indexes 1 to 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>Theory:</w:t></w:r><w:r><w:t> Brute force permutations and counting will not succeed in a timely manner for L+R=20. Determining the inherent mathematical pattern is usually the best way to succeed in GJam. </w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://code.google.com/codejam/contest/6304486/scoreboard#vf=1\"><w:r><w:t>GJam Kickstart solutions(C++,Python)</w:t></w:r></w:hyperlink><w:r><w:t>.</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/6304486/dashboard#s=p2">GJam 2017 Kickstart Parentheses</a>. This is the first 100 small cases with max L+R&lt;=20.<a href = "http://code.google.com/codejam">Google Code Jam 2017 Qualifier</a> is March 7, 2017. Typically four challenges with small and large aspects with 27 hours to complete.The GJam story is given L left and R right parentheses determine the maximum number of parentheses pairings.Input: [L,R], the quantity of parentheses typesOutput: [V], the maximum number of parentheses pairingsExamples: [L,R] [V]; [3,2] [3]For the case ()()(, for example, the three balanced groups are () from indexes 1 to 2, () from indexes 3 to 4, and ()() from indexes 1 to 4.Theory: Brute force permutations and counting will not succeed in a timely manner for L+R=20. Determining the inherent mathematical pattern is usually the best way to succeed in GJam. <a href = "http://code.google.com/codejam/contest/6304486/scoreboard#vf=1">GJam Kickstart solutions(C++,Python)</a>.

This Challenge is derived from <http://code.google.com/codejam/contest/6304486/dashboard#s=p2 GJam 2017 Kickstart Parentheses>. This is the first 100 small cases with max L+R<=20.

<http://code.google.com/codejam Google Code Jam 2017 Qualifier> is March 7, 2017. Typically four challenges with small and large aspects with 27 hours to complete.

The GJam story is given L left and R right parentheses determine the maximum number of parentheses pairings.

*Input:* [L,R], the quantity of parentheses types

*Output:* [V], the maximum number of parentheses pairings

*Examples:* [L,R] [V]; [3,2] [3]

For the case ()()(, for example, the three balanced groups are () from indexes 1 to 2, () from indexes 3 to 4, and ()() from indexes 1 to 4.

*Theory:* Brute force permutations and counting will not succeed in a timely manner for L+R=20. Determining the inherent mathematical pattern is usually the best way to succeed in GJam. <http://code.google.com/codejam/contest/6304486/scoreboard#vf=1 GJam Kickstart solutions(C++,Python)>.

Solve

Solution Stats

27 Solutions
14 Solvers

Last Solution submitted on Dec 01, 2022

Last 200 Solutions

Problem Comments

3 Comments

3 Comments

Jean-Marie Sainthillier on 27 Feb 2017

It's a pleasure to see you again Richard.

James on 27 Feb 2017

Welcome back, Richard. I have a question on the scoring - Would (()) count as one (Left 2 and Right 3) or two (L1 and R4, and L2 and R3)? I guess the more general question is can you have a balanced string inside of another balanced string?

Tim on 1 Mar 2017

Something seems to be amiss--this page says "5 solutions," but the graph is empty, and clicking "5 solutions" produces "No results." The main page says "0 solutions" but also " Solved."

Problem Recent Solvers14

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 44074. GJam 2017 Kickstart: Parentheses (Small)

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers14

Suggested Problems

More from this Author260

Problem Tags

Community Treasure Hunt

Problem 44074. GJam 2017 Kickstart: Parentheses (Small)

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers14

Suggested Problems

More from this Author260

Problem Tags

Community Treasure Hunt

Players