Problem 1889. Get ranking of a combination looking for speed.

Created by Doug Hull

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>I have the numbers pulled without replacement from the set [1 2 3 4 5 6 7 8 9 10 11 12 13]; They are then ordered from least to greatest.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>So a selection of [3 2 9], [9 2 3] are both considered to be [2 3 9].</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>There are 286 unique selections possible. These can be ordered in lexicographic order:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[Element   1 = [ 1  2  3]\nElement   2 = [ 1  2  4]\nElement   3 = [ 1  2  5]\nElement   4 = [ 1  2  6]\nElement   5 = [ 1  2  7]\nElement   6 = [ 1  2  8]\nElement   7 = [ 1  2  9]\nElement   8 = [ 1  2 10]\nElement   9 = [ 1  2 11]\nElement  10 = [ 1  2 12]\nElement  11 = [ 1  2 13]\nElement  12 = [ 1  3  4]\nElement  13 = [ 1  3  5]\nElement  14 = [ 1  3  6]\nElement  15 = [ 1  3  7]\n...\nElement 285 = [10 12 13]\nElement 286 = [11 12 13]]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Given the three ordered values as a row vector, return the element number.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>The test suite only passes if it is faster that my reference code.</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>"}]}

Solve

Solution Stats

101 Solutions
20 Solvers

Last Solution submitted on Jan 02, 2021

Last 200 Solutions

Problem Comments

Problem Recent Solvers20

Problem Tags

speed

Community Treasure Hunt

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

Start Hunting!

Problem 1889. Get ranking of a combination looking for speed.

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers20

Suggested Problems

More from this Author52

Problem Tags

Community Treasure Hunt

Problem 1889. Get ranking of a combination looking for speed.

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers20

Suggested Problems

More from this Author52

Problem Tags

Community Treasure Hunt

Players