Problem 43072. Check if a rotated array was originally sorted

Created by Mohammad Haghighat

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>Suppose a sorted array is rotated at some pivot unknown to you. For example,</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>[0 1 2 4 5 6 7]</w:t></w:r><w:r><w:t> might become</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>[5 6 7 0 1 2 4]</w:t></w:r><w:r><w:t>.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Given a rotated array, find out if it was originally sorted. Your function will return</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>true</w:t></w:r><w:r><w:t> for this array:</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>[4 5 6 7 0 1 2]</w:t></w:r><w:r><w:t>. But it will return</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>false</w:t></w:r><w:r><w:t> for</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>[2 5 6 8 0 1 3]</w:t></w:r><w:r><w:t>, because its original array, i.e., </w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>[0 1 3 2 5 6 8]</w:t></w:r><w:r><w:t>, was not sorted.</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

120 Solutions
69 Solvers

Last Solution submitted on Jul 06, 2023

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

goc3 on 23 May 2018

Additional test cases have been added.

Solution Comments

Show comments

Problem Recent Solvers69

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 43072. Check if a rotated array was originally sorted

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers69

Suggested Problems

More from this Author3

Problem Tags

Community Treasure Hunt

Problem 43072. Check if a rotated array was originally sorted

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers69

Suggested Problems

More from this Author3

Problem Tags

Community Treasure Hunt

Players