Problem 551. Have you seen any Spindromes recently?

Created by AMITAVA BISWAS

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{"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=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>Never been to the</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://en.wikipedia.org/wiki/Makemake_(dwarf_planet)\"><w:r><w:t>dwarf planet makemake</w:t></w:r></w:hyperlink><w:r><w:t> yet?</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>Assume a new unexplored planet has several moons spinning around it,</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>all on a flat circular orbit and equally spaced,</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>and represented by a sequence of letters such as 'm a k e m a k e'</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>or simply 'makemake'.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>Another example of a sequence of spinning moons could be '0 3 4 6 4 9'</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>or simply '034649'.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>Notice that some moons may have same names.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>Assuming that such a sequence could also be called a</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>spindrome</w:t></w:r><w:r><w:t> if the spinning moons of same names can be distinguishable from each other by the neighbors.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>Otherwise that sequence is</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>not a spindrome</w:t></w:r><w:r><w:t>.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>The sequence 'makemake' is not a spindrome.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>The sequence '034649' is a spindrome.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>Please detect if the given sequence is a spindrome.</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>"}]}

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Last Solution submitted on Apr 16, 2023

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Venu Lolla on 2 Apr 2012

@Amitava: I think test cases 4 and 6 are incorrect. Could you please verify the same?

Venu Lolla on 3 Apr 2012

@Amitava: please ignore my previous comment. Cheers.

AMITAVA BISWAS on 3 Apr 2012

Cheers

Richard Zapor on 1 Jun 2012

Neighbors are more than adjacents. The first and last elements are considered adjacent. Thus [ABAABA] is not a spindrome as it becomes ...AABAABAA...
However [ABA] is a spindrome even though it also becomes ...AABAABAA...

Asif Newaz on 20 Mar 2020

can u be more clear about test suite 4 & 6?

Rafael S.T. Vieira on 16 Oct 2020

The definition of spindromes is not really clear. But basically it seems that we must look if there is a repeating pattern, if we found one, then the sequence is not a spindrome. On the other hand, AAAXXXAAA should not be a spindrome imho, since it is a repeating pattern AAAXXXAAAAAAXXXAAAAAAXXXAAAAAAXXXAAA ... so we have to limit the test to half of the list size which means AAAXX | XAAA is apparently a spindrome. However BBBXXXBBBXXX is not a spindrome, since we would have BBBXXX | BBBXXX.

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Problem 551. Have you seen any Spindromes recently?

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